{"data":[{"name":"Protein-protein interaction","means":[[32.774669095241116,29.501859781405855,27.107224746734655,22.398070007285508,18.233377785561455,22.735461896513495,20.49932166750403,23.411653749117047,24.47764331006482,22.02953546716423,25.221105347291466,27.678620057150873,22.60177909033557,22.797229753458268,26.10431063444019,25.147332369317393,20.79882328583535,22.981131484152716,22.266631205370057,22.29467923199603,24.109748868421583,25.47863828621625,25.653422448225744,23.457954050924133,20.476857611118813,19.38552673584233,17.32294212702193,16.875487423960394,20.56134517155344,22.798781966243205,28.45109138831397,28.075837122844405,32.59505193181359,33.8383043541488,29.78133749141321,26.309554670368374,25.22035157384014,21.421024915669612,18.640027205866424,21.903229767025966,17.402780483574933,20.990598032871404,24.03962160096083,21.230701218057472,22.874531030728587,21.207826649582163,25.026957688048324,24.081603956405004,19.268632450451715,22.845089860105205,25.943616562471277,25.902692444407627,28.378106591224427,23.879293241330906,29.006468413023736,30.97201292368989,27.290711710567404,29.693290865192374,33.46066244940199,31.032468376071645,29.872974423859333,33.38800309332083,33.559198568603776,34.691383554545894,30.73630451414418,28.452031075361983,28.116995199818827,27.362488271461736,26.39623960487493,27.522763664295184,26.914294286382155,30.379416260327726,31.292045860144146,31.51570011545219,31.034891999441353,36.11589024995436,32.43284366116973,36.190965774555224,33.26164078522053,31.911445721890455,30.543506734393073,27.537352802005767,27.445416102474248,25.297869213490504,21.400653815782263,22.869707963167112,24.76873013128075,28.366745590196135,28.13765261330082,33.78936964056301,32.68029991544487,36.82824634377307,35.35948787339014,34.74147891427262,31.153888725446595,33.92929232248974,30.69295025244091,31.478627478918128,30.1295827517423,33.32939498302066,30.035764258241272,29.386618717416226,26.962008806777735,25.4663900855713,23.825895827069044,21.452312626347858,24.19220990151706,21.880549987220498,21.116286321468174,22.43589251195462,20.31305409209445,17.204227148471123,18.087387928620487,14.152725783882905,16.241651674388287,13.125340351022865,14.912500307564228,12.583219863733074,18.03415061372814,19.567450735935008,18.87505910672791,18.473043212758533,14.881898511957424,14.829589418601346,16.362466380468106,12.285977737605556,17.103785999841183,14.297581576901763,15.8539156802194,17.101077180280672,15.769897366963027,19.323412347012653,16.337777247747297,18.615068046303005,12.91805863915246,11.154858747581342,10.259619564603407,6.9859327636081625,5.986869644526948,6.609717524270955,6.483868472175142,9.800138573454934,11.724254995604444,10.398034556598459,13.037705808419382,15.559122379964517,13.748282549978297,16.99163407805464,17.901200039962877,20.376407590655795,23.108557443150524,26.78862572103996,30.5958580276519,34.28442514876066,33.15577882840619,30.610886510651234,26.845211556346,25.49954827411108,23.513960357559593,20.67336012520529,15.406549412216444,17.26166433732534,11.269971384921753,14.377942405552895,11.159303561524721,6.1178111858801385,9.40246307274384,9.70694127383552,9.034854440955876,5.128097754714958,7.538522087530393,6.9303479787700955,11.652358385307588,15.140722942017627,18.279548028569394,21.87095463990581,22.643459595804885,26.594508626266652,22.803663165771933,23.484883545037246,18.410595762583984,18.726195416335614,19.399183773487447,19.620267130501432,16.30127788775868,18.64833224749283,18.28553369539548,21.14653653441662,16.63923966877572,17.843197627937826,16.763908313728173,15.705308199145401,15.3042884975881,14.919118622808037,16.983951815093405,19.00397250799908,16.57029994274014,20.374650538710977,21.45386690283075,21.776317950789792,26.4923762049423,27.079660566919927,23.696033079015912,25.468896488734725,29.59619415177845,28.054527324935666,25.470626090476376,29.817292836086935,33.18091602680496,29.97297947448783,31.230443988347304,34.91180354861303,34.17699102524542,32.56885150714346,35.83765762112156,33.73904595936334,38.175768968558174,34.71066691927662,33.95872820846895,37.788907003931826,39.50962267754432,44.058750754678194,43.15312796443039,43.28841836919441,39.77869977740949,40.37320019141761,36.79682402131319,38.71274623342223,39.03728675294628,33.17374910350288,33.25715439220126,35.59616798310978,32.772197954982815,29.313528135186093,29.752604427111727,30.970467465973705,28.355076762087002,23.749687391519526,25.02150582627865,25.128614218993075,29.03768450407927,31.621529401459323,33.146813148813344,37.761222241442766,34.497333353075774,30.979369943885008,35.90970665131736,36.8195346746298,32.220433937348766,32.869487313080974,36.9999771967544,36.41458786630722,34.077799579185985,38.28919478079884,40.389751117783256,38.16795744445438,38.525620224467225,41.62737337578881,39.175257489925954,39.66822797809523,36.5176890028518,38.713790848458515,39.773255859715945,34.36015156322592,34.46004437710374,36.84694670555034,35.06672550123588,30.767721241683482,35.17227622981626,36.07945257776753,31.03109282579721,29.65196528596125,34.53226931436102,34.531299922825525,30.96886971409993,28.426974373066464,31.672015425330816,29.77658844583214,33.20809892336241,29.337123430171296,28.382525328821593,27.150792580270224,26.411271813940534,24.229214668547005,24.516228834270947,21.981964854812563,23.63585826646043,19.945495883789885,19.506422988485106,17.32666527162642,22.369683901025834,24.533984443932503,28.332084351920102,28.34831989329438,24.916748276256172,28.520996235318247,31.581000062786295,27.81279784480046,27.591483309771867,32.8665460060233,34.56970607563104,33.21279414296305,33.95425708440668,34.58637789966364],[29.472868448057106,26.163930043547296,23.815905720318824,19.06236146238822,15.061066062422302,19.95529338450797,18.17663037154366,21.494796875438684,22.695580063860344,20.789435257280164,24.238908296150807,26.721792213923486,22.109191362784937,22.212480967516935,26.018886559523747,25.293616584666527,21.209815186732698,24.01490506015508,23.880641899228895,24.22495583641639,26.428815979246227,28.144532229520287,28.441945260756174,26.427332459879544,23.311910909027727,21.764104619384607,19.531483170765235,18.357014300841566,21.700989908704056,23.456972258909545,29.190984064137375,28.507011778181468,33.07369374153747,34.80339499577475,30.83594263191599,27.614513832580222,26.25250941920503,23.18689331264391,20.67222747790939,24.338459966797117,20.21319064702862,23.56464076468868,26.840260082086488,24.327677074362036,26.179609871057497,24.678302152245013,28.510586357397845,27.386565961372476,22.63282711527792,26.28010111841635,29.21201011308292,28.999009162006647,31.38345902924182,26.705111597556016,31.61684486880509,33.85447927693962,30.17455903625906,32.225083947454586,36.16882783088116,34.043482028923435,32.72135018196186,35.99320047527339,35.860020540013494,37.19722357443549,33.37823112906151,30.791905805822424,30.203980420259875,29.016034912434122,27.842216402621318,28.443379757407,27.827166297598353,31.30122426501339,32.34465746925304,33.07343521795486,32.41272328873004,37.776036127361074,34.30562234493448,37.920115597640276,35.13292265210859,34.07486806284435,32.3913684991707,29.588973936807754,28.94261256546618,27.045995335483365,23.35904546004838,24.519167016910423,26.73175468002164,29.84897313570211,29.87220786504428,35.22385572611353,34.022593900983296,38.146601899591104,36.33375716828289,35.391689351528626,31.507844774699436,34.06875782970015,30.54068382622409,31.419728067606854,29.70934854971586,32.568552648326346,29.90813808400026,28.825880951656696,27.07121195202321,25.04649665911149,23.85616848498809,20.80582777975082,23.409720235766525,20.92534444847623,19.470726971757593,21.0038264974338,18.375133850595127,15.88986137750261,16.49010059637517,12.990532162051087,15.63861939783314,12.839351845086231,15.49884912307115,13.665003909462916,19.569211078331175,20.535108393910363,19.382866745150086,18.348106669085627,14.396646741192226,13.706375699732881,14.578950262327107,10.355498992937012,14.701038574782741,12.325577586200769,13.993883644574105,16.215100403309464,14.326618041370573,18.39269456610193,16.118043352648375,18.610599845986968,12.746525754549195,10.584768291306924,8.142313685267416,5.357642369296783,4.669150475320806,7.344320653154781,8.580430864239737,12.815264204294738,13.992880092676206,12.137288188391702,15.147581128851245,16.837472114404715,14.464192960739242,17.024266382775934,17.443905291799993,19.28358622411752,21.73962271133252,25.29659484984846,29.191111157670406,32.5755391202226,31.871584891568414,29.62549358331901,26.050694289850643,24.6566679388771,23.25196912830353,20.212077728519553,15.572700008055053,18.254796438403524,12.609183650466642,16.312707721396155,13.453797570602605,8.993525834851722,11.29800645359744,11.780551313177279,9.762194710117074,5.932571291289052,7.946850402262286,7.7324585158468455,12.939174322475635,16.242617629404165,19.33672228295451,22.515280761675246,23.269931686234106,27.41306258243369,24.102254463809793,24.548609107654485,19.84612080383267,19.096811078443135,20.274969614404547,20.8832199877348,17.791937054871124,20.9079182875867,20.826017913933885,23.926071785794417,19.861752753063318,20.721644003330898,19.44202677261114,17.97043470479774,16.873300899623075,15.745735422932295,17.23636952103832,18.634233794361435,15.422929790392901,18.999648385820937,19.38671794779571,19.724058802784704,24.275773514569856,24.835910405709445,21.236840674823757,22.729096351315125,26.929281671116915,25.220352653733528,22.283532821598374,26.74321869382405,30.2347354138583,26.753853365334766,27.893871319355796,31.642571067295506,30.92708389141844,29.12499474312773,32.38403702718134,30.301120177424632,34.82469217383401,31.422249576365164,30.77532272268721,34.66051086831768,36.611031684336176,41.133275065577564,40.46690863356841,40.78622364992796,37.428305096215034,38.29261973313495,34.868209655859744,37.02999979026891,37.071586961883995,31.061951494359256,31.566857786093635,33.99041508969266,30.847205814890877,27.51433277020423,28.436480352535575,29.353275641566313,26.375046013847097,22.290062512113966,22.930551055601143,23.616008955343506,27.53337932640215,29.730963589111187,31.525019105525715,36.00343919540319,32.90459520032873,29.12167298626843,33.75995324528916,34.813361826606645,30.127956995722716,30.415067934280444,34.51401079029487,33.873785571390684,31.29462127519202,35.532116625810886,37.607159407154505,35.21959469798116,35.479091160558475,38.65981578860123,36.2122595196511,36.93639767047863,33.97677325206952,36.28114771450002,37.02552403077956,31.509038194759555,31.954029151467402,34.195842040934004,32.208353217634226,28.097928811214498,32.75174867243098,33.369355620946195,28.172065070149525,27.185868661190952,32.142745106386364,31.85422292534593,28.16595900743222,25.33592102864139,28.720980420144244,26.587034695755694,29.91937912938161,25.89584578847767,25.009049117064933,23.679104242371615,22.866496975337935,20.7691254785748,21.217612807680652,18.8193877964736,20.628142710732487,16.860343369422782,16.94199842370076,14.58724524353116,19.41803136756041,22.134000393918694,25.869698057071027,26.14274795666683,22.35474157598425,25.648282896102224,28.91156020739264,25.325070516354824,24.62290910261374,29.88121155657878,31.80777617409655,30.613622854864936,31.572055508905265,32.3758392606198],[25.290972623740274,22.044101656835206,20.086357041743135,14.81621178583248,11.901287008307706,17.058365235375533,16.165337395564798,20.203635977556942,21.15447329851272,19.986773404793436,23.62130290912541,26.321686493354996,22.524298137328277,22.085266907106604,26.566868026770578,26.381448067902657,22.651760647373727,26.051562634263696,26.375211140649046,27.370412826202028,29.835648035845367,32.0902495978586,32.32397428622716,30.452817790886574,27.34971654697203,25.19819897759151,23.104061985902643,21.18685264698352,24.174460355956185,25.49675791258106,30.90923145015228,30.183592683602313,34.677335471000916,36.95796065404699,33.2588259858049,30.279765020082888,28.8977020409773,26.61313673904523,24.528711944582316,28.779113969629513,24.78670315480708,27.645422185726773,31.237699589461855,29.04225147173868,30.912418961591175,29.551228916674688,33.47336527663696,32.33981872229466,27.718869504559784,31.48127096335039,34.375687895023795,34.1321015165656,36.40400748224108,31.549142890821976,36.31500486197719,38.63191944547424,34.83819492433992,36.52436413979073,40.64012509832416,38.74471328589609,37.07000985673015,40.00139217465785,39.52187611397744,40.87880187179477,37.25216111076171,34.44494759805244,33.25615715594533,31.653952225983364,29.96871282684765,29.951663562832064,29.1447111636456,32.43714300917433,33.86034062473515,35.26226470927429,34.631594193371164,40.353730202392526,37.35103916289494,40.87149738301986,38.41460051736603,37.81460213759567,35.97626113440436,33.57875984231702,32.46926453027963,31.02109253491686,27.52045054668173,28.149947355993785,30.431114896461526,33.03787951164261,33.04591063183156,37.99415388949044,36.48163320876711,40.40013918645927,38.165653531349044,36.91549795032016,32.66953794086413,34.78475800127587,30.87995916883382,32.218902245165665,30.15799175586038,32.687648973701826,31.053121081740947,29.69489522749848,28.89583433551561,26.476345135605698,26.164619518712183,22.35789277992398,24.83672350361036,22.331605829164474,19.849192411549417,21.472997436387946,17.98770712732031,16.513091917969728,16.174707016342584,13.523501134251628,16.20168108345402,13.842733429296068,17.271072738987293,15.817117842557625,21.85932277270192,22.341993346739883,20.46833839438609,18.770839670852773,14.399774086126879,13.18066193480178,13.258277914828387,9.899849646415227,13.289952461598384,12.358911028908496,14.32415731496335,17.908773341099405,15.539219062577644,20.0689721579264,18.857151533507963,21.390166051972525,15.749651457575007,13.180036112593916,9.208401086008168,7.729856241794921,6.840603878336785,10.74956306970313,12.174393718198179,17.121809825547892,17.584290790955396,15.6138215197562,19.040575793767328,19.875136116414023,17.01372636870912,18.745620406551385,18.78743559839173,19.44923806110276,21.655694120505242,24.624741429375813,28.76854893754611,31.380273380409182,31.233156297845927,29.642369836940016,26.35719568611392,25.218906330773127,24.504326026976123,21.687349343160346,18.10587944524772,21.303148650768186,16.301547660879976,20.49619954668387,18.246829824974238,14.202599120679078,16.105612920561903,16.524263755316206,13.730258033710662,10.530251726680596,12.058687084679232,11.961192333207912,17.069947790437016,19.959834129526374,22.753436590204068,25.394373723887586,25.825166604219046,30.289648452789486,27.627857826183845,27.97557886935847,23.835574075984987,22.05230361521565,23.904222342887838,24.918931107044333,22.072667559832723,25.637851492259717,25.590747167652243,28.933910021054544,25.04903012341653,25.87620091506026,24.489298940377406,22.826219865222402,21.253214241472037,19.560334282397495,20.409402158192822,20.984596481692158,16.972283373157197,19.977607503570532,19.15497348136316,19.499496506695678,23.55112049970669,23.98106533489249,20.058248633504586,20.94051285860837,25.166154221783774,23.031506734440043,19.313658368805655,23.99954409242884,27.686283673519064,23.46681950978104,24.3104100988601,28.213216375940203,27.41174993183036,25.01676633376433,28.327292591310147,26.364138898207894,31.152336671896702,27.89494122725674,27.64286119100279,31.64174130939013,34.11981685156174,38.53748324182727,38.39698763740704,39.1351372162427,36.13099682272885,37.506739239773346,34.416575432983805,36.963389017085,36.487589736124775,30.33450675426591,31.58705603214139,34.04948870866296,30.395516151200052,27.40696603316183,29.07780397448926,29.364773999525884,25.84488620643746,22.874688546956527,22.460716505918118,24.178014794844962,27.97496307644358,29.447560568566338,31.637420370905946,35.78006456950403,32.96244283534137,28.84868225107266,32.852699056050795,34.06621884938618,29.27648513283561,28.928710091324895,32.825040280350734,31.991921739686514,28.992977160446067,33.30011984141508,35.20948800210897,32.384347582362025,32.55267068885266,35.93452672515425,33.57192674205501,34.83194272801917,32.32524916189549,34.84396673626117,34.910866737097706,29.239046357455372,30.442087805952482,32.31745105432895,29.892200195225623,26.28943021156218,31.33089071741208,31.261575535753856,25.826929005971074,25.7220040803298,30.652230996676785,29.683344183928227,25.76997847767509,22.315692583977526,25.758492686810275,22.97185147266634,26.20744747254882,21.796045432662154,21.351034954152283,19.64959991883023,18.406381261939657,16.74986023834919,17.55983774168577,15.810232633892292,18.18533851129754,14.435046852517887,15.842714531891236,13.084524071117706,16.99875490397556,20.822169138772548,24.337948032788518,24.919043602664775,20.471917686223257,23.084320785291524,26.602949353854658,23.205362565570077,21.51183051682214,26.75590744690729,29.009299169268797,28.019600944980493,29.403862520425122,30.494985973734703],[22.54136547029861,19.28087519131573,16.962244582966104,12.282109684587386,8.060497289595594,12.832227056774794,11.544685971747638,15.285443591341659,16.81071613950405,16.063740067929736,19.811938159345193,22.010916768270793,18.49552536512243,18.804568418312762,23.15327644676162,22.73296103661298,19.574710765798663,23.460776341886564,24.792901390415885,25.45113775646209,28.528308977538522,30.838633761074924,31.617486393539064,30.265906351664892,26.767364504295386,24.40830569705409,21.674366211155952,19.127311491609962,21.342496813168893,21.89373586706766,27.605284756929873,26.181124036992554,30.670379991713034,33.32332111149289,29.65786777508826,27.13561446299551,25.237738079327332,23.910675840395374,22.157034011080796,26.642207276329113,23.51548689288253,26.126749354485955,29.80024748529798,28.205887642193993,30.68553691397356,29.920192307009877,33.71963570495108,31.871928581310264,27.579260295524424,31.66888106469641,33.85527726645823,33.37956429629308,35.230173245626005,30.039908167137035,34.338303791931,37.03254547278266,33.33000555442958,34.3667726274441,38.69115881806564,37.46573350249078,35.66941488782952,38.22791740932502,37.334686698158706,39.253167736581204,35.855061003896,32.53789269449697,31.656843801290243,29.485655065058847,28.283763412740022,27.722985264140767,27.41952550318942,30.946425999103823,31.829812777120242,33.50714599253206,32.194477292520716,37.918936096196234,34.8793023408209,38.006966476970334,35.57075316964777,35.209370025403594,32.88149129362412,30.735746860602568,28.98765301462582,27.941393002850145,24.79935532857521,25.005027924161286,27.691038114613633,29.623557138490376,30.194964976663233,34.69741670256407,33.42643190479771,37.46033323940908,34.998704005980834,33.373344169623344,29.078047600440243,31.236044158280098,27.341852729028876,28.101075510813573,25.745250112453753,27.873125018880145,26.433807364041677,24.701950756791117,24.288584996113492,21.60110384798488,21.795071625984235,17.70836710361488,20.39789443399689,18.348106577044508,15.612418873028847,16.706289116344816,12.973444865597978,11.499681363105598,11.124621947282911,9.016761476040806,12.578836131726646,11.261730051809577,15.13033171385367,15.063138180532727,21.07438126388013,20.45953866756804,18.858705794143543,16.577314208058322,13.01113772254382,10.649879371207534,9.561153937219986,5.408827169419457,8.163633378924564,7.388953898402444,9.889907120002752,13.846279265611775,12.526787269577252,17.142789897309097,16.600975879143075,18.187243423109997,13.16239085045552,9.794856114802439,6.777648631778254,5.323318436019104,5.880873254255915,9.352309927181336,12.981150288727072,17.589619880740592,17.11061565551415,14.309092456252499,17.37661273333497,17.169182896613616,14.067847008488489,14.807579684802057,14.22255105264041,14.604304445132275,16.500654929760913,19.61685948040866,23.614794239758115,26.43833719462515,26.344333937709013,24.644041171426725,21.514920838250685,20.183474571906604,19.872518280724478,16.91014982562236,14.09090276195495,17.8607690114542,13.800041833402263,18.174105399487363,16.83737392709954,14.298251854348452,15.667689076208166,17.407217853360553,14.498150864261147,11.209539324179646,11.245192210499685,10.307720424799994,14.6997111331075,16.892292367629935,19.278725617114667,21.364306190871936,21.729056309234462,26.20078571734409,24.1339558503043,24.350966447833443,20.954664580017536,18.28185490341171,21.048186071492825,22.73440418288081,20.056378910942456,23.876614261356938,23.86309658201917,27.733418817940144,24.750223651534483,25.525550736104226,24.53561345987752,22.162872802333894,20.76484583937033,18.697177655791343,19.265770791715372,19.954256583242447,15.57623154332833,18.01907637572468,17.074622986446858,16.254816915678212,20.63604752254052,20.25892830060217,16.279839730118034,18.17886138876829,22.0444064774894,19.443964025583043,16.7853270680529,21.481987522709773,24.37538056962406,20.4049850533766,21.91906915953265,25.58171861308069,24.324973303878526,22.735846748840363,26.366272480886497,24.715632016177146,29.192375832513637,27.021874301931984,26.02820915753786,29.730850178818017,32.391643831393495,36.571979352218996,36.63865928163216,36.832455628454305,33.71713751879806,34.86587031869148,31.43016532902882,34.40595597643775,34.34055616986107,28.05121000216869,29.160030494280857,32.31749238623571,28.938547259136783,25.66618131770088,27.53432778996033,28.65831558053756,25.14078842705201,21.837041907741533,20.694282816030515,21.446515603816007,25.17909446439167,26.258362514270246,27.98288341301478,31.949710422346623,28.769153001840834,24.932757544654052,28.985146644127806,29.740739826811325,24.85236357051606,24.96956393557495,28.684065946873066,27.681789578722,25.0566301399214,29.59171246811606,31.306299661448246,28.570054634204407,29.21841915363234,32.63547614064385,30.527847763313865,31.631458858259975,28.95050495123276,31.82983191362015,32.226067652124364,26.52948388589271,27.800573754555757,30.223378139117933,27.943736256572386,24.36089404946042,29.741192129943308,30.205082962388083,24.83580651679437,24.75954384781153,30.050570095614265,29.506889888422535,25.715547947895416,22.203398963164855,26.445033023473076,23.833849173070384,26.245305739825525,21.634112521709813,20.17951760372338,17.866786334297736,17.928796826026453,16.366851776068998,17.999306114243833,15.809047803608422,16.934164446270263,12.037508677208422,12.834780816266084,8.984167966501815,13.085693941128133,16.254262614167434,19.922650674996557,20.053683945559605,15.760519229810521,18.942461324576904,22.127043289435004,18.4565469738566,17.483673564646192,22.82184159850577,24.723256602066098,23.58032357540836,24.73964532935575,25.74435250209408],[19.29512722178942,16.343744073006317,15.084746484841622,8.842882930405011,7.995183497285746,11.762773822318184,11.766469274812106,16.348050552915943,16.737257085115445,16.583181290396478,20.199969483925127,22.949769360401707,20.41643626542645,19.50631771103464,24.49566114704033,24.91845198913182,21.997417914730235,26.058326326528306,27.314460853192482,28.891909244021857,31.85702509395804,34.74782517100659,35.16919295410852,33.78919482398481,30.540640549491997,27.64084232893665,25.491879234799203,22.582998337900708,24.730548449977768,25.280809683425538,30.09839774932413,29.22953462742168,33.46435957815432,36.432222250920574,33.202967050753024,30.72089737236454,29.30831811304049,28.28018452377822,26.929540029588498,31.961984191125925,28.41053904050189,30.465651201344954,34.43855276489449,32.96865445058424,35.13936736021351,34.330088249486884,38.31710939875806,36.77834428359586,32.548744491769945,36.74177275967043,39.19123583024539,38.92197546840373,40.74685364996659,35.50717980564877,39.932053887186285,42.33896124973922,38.39925323633189,39.307008556195015,43.677624888920754,42.387622665037824,40.122725515684095,42.39855347516362,41.302545742061994,42.89158797539989,39.660698455156705,36.40878206653131,34.63209060271124,32.323917679145666,30.29930314881366,29.30779691642168,28.545369546839236,31.63645703995381,33.18874031900898,35.476358888573564,34.597823401279875,40.633250742528425,38.264006701554734,41.46775203999411,39.50759806832733,39.621830342959804,37.53205286358642,35.85949522738361,34.12342133990804,33.51783957994619,30.342819164086936,30.042522160501147,32.338125890664074,34.07332310677045,34.12550117548198,38.31192677627458,36.48652277434677,40.09268960692452,37.31396345441729,35.61294854768242,31.03910732206263,32.558111853141476,28.33202443335983,30.064808180976712,27.636510826734966,29.723883296518423,29.410595877948364,27.96567247999025,28.3626288744797,25.860866085661318,27.002243658635493,22.62785627172932,25.267774189649977,23.39745744915972,19.981049451428767,20.918274716506556,16.501708345266632,15.915172431674263,14.040988118435344,12.818027185570276,15.024498232674654,13.82772062887388,17.776068107826823,17.47207717510787,23.17947460602099,22.56392588940923,20.126235097748335,17.549941226105958,13.599250705554327,11.463420937996242,10.139920577483668,9.043008276059535,10.679028468229179,12.184016068549694,14.752461733040086,19.307349542271496,17.757888378407124,22.40017953204737,22.364698757479328,24.036903183025938,19.190066924378268,15.854011198467788,12.401049350093915,11.288214060799985,10.341997101499983,14.042292534760847,16.305913371885325,21.458685302723275,20.683746723457528,18.39506507855231,21.922349939550767,21.430569947696632,18.21759697267148,18.656052363887834,18.31540016710405,17.38191394385364,19.33591997209963,21.202755538802485,25.61440188044003,27.150543369106344,27.481765935416597,26.76418885950948,23.918897468301527,23.34414644588622,23.379316430005524,21.338627060806928,19.349947277394865,22.739508333780517,19.040534476605995,23.618084788097107,22.618851999984052,19.623739672813844,21.45525641630501,22.638705965308834,19.649008693068012,16.437162446459066,17.083185710026505,16.23002814524635,20.70218483394715,22.74434588833938,24.79753653129284,26.615782187102866,26.357172161531125,31.186981961019026,29.551531303813235,29.960874816971153,26.888505359818332,24.028879111744864,27.109617278887715,28.856254391145647,26.1874696162185,29.865663366817177,29.54579044531709,33.52816198958284,30.135055843272866,31.23894683866555,30.182572384275005,28.063898825870606,26.57548403117677,24.483797855118322,24.883414673659615,25.095487249055218,20.48422395866376,22.557814231331836,20.653597091011832,20.029867834426337,23.60186963351942,23.091200211834646,18.964005525053192,19.984298768336682,23.66659026401007,20.509708030714474,16.870269073026236,21.705911569795894,24.703402689516544,19.5719110896915,20.615051101460132,24.43768538611588,22.867839889961992,20.2226040129285,24.042771300868672,22.738234163047206,27.613978288994684,25.748136480329194,25.476378385911257,29.270806890638152,32.64924697248002,36.617847673082665,37.385489350349225,38.16305915922148,35.5547753776345,37.291282601701205,34.3225343897706,37.600943775646165,36.94632220627079,30.668325578144838,32.543364052930556,35.55462791482201,31.68867699097887,28.910884988944833,31.37262285350125,31.694884081523107,27.762766453627044,25.679024660971486,23.78413258122751,25.628490695876064,29.12586887091852,29.484367352746077,31.566977335156974,35.067181626773234,32.2216610504896,28.197855964821294,31.39466631079698,32.23177254584646,27.34489494996909,26.745703867704794,29.99962322333275,28.65736093308356,25.590590116597397,30.187066274938076,31.524612331600768,28.084741653137982,28.75582148628922,32.46602916890404,30.585760303103108,32.45940802922077,30.461164942343295,33.56103418636056,33.05259014925635,27.284154097029155,29.537803862720462,31.390934067254232,28.57484437607515,25.789233280228483,31.427670271312863,30.947234706658097,25.425300016144213,26.44675532756821,31.45371931434638,30.01041539274351,26.02759194400844,21.814210464330223,25.77553885428775,22.258041033991987,24.572383427815364,19.447574257386382,18.925157887055157,15.851350264193371,15.095698516251527,14.622405518213398,16.766040304250883,15.858948639311155,17.847137797719057,13.482718398726547,15.958472154888957,12.060109420395303,14.117792553378907,18.545009401273873,21.712975444454496,21.989532405682308,17.01205240021354,19.11456407035291,22.370654394860793,18.763869656300216,16.357919980282762,21.663558328207497,23.829564891536645,22.80980538780883,24.541282152473656,25.90399495229398],[23.151045671808486,20.555592700063656,19.30313237189479,13.299679944118633,11.449509103574812,12.930505114069128,10.679335795317012,14.547033226085624,13.91871673363037,11.999870927856668,15.427057279693168,18.656252821737,15.149740627921886,13.814107841492957,18.65110192796474,19.09559810043328,15.719095385194613,19.562693116918496,20.69438628692031,22.505329652616613,25.468565027200132,28.630539149206545,29.03505178261199,27.919696418826103,24.66317201700157,21.428709220793326,19.427875110677334,16.295739381690094,18.510432397368422,19.507004898791163,23.95366154328404,23.768527933872953,27.978086398983624,30.58030306950761,27.433765325441982,24.666046928680295,23.844835398765802,22.509595680061512,21.485287721972497,27.07899565218146,23.28908109847642,24.641875691687154,28.827422045862395,27.760366397663503,29.92889696563526,29.596847523377292,33.598392262151314,31.882949865133472,28.175302259528973,32.75603347719478,34.92478126823732,34.86859603713575,36.324176924912486,30.93744354657188,35.40281024151129,37.354128152186796,33.166488647734745,33.83045459887937,38.22675371817403,37.020073207791455,34.30051762594384,36.293136897686274,35.094994205113736,36.51969449247388,33.40912924470453,30.15810276479872,28.071223997512337,25.754132040197813,23.628198672816957,22.736860517906294,21.96753011785853,25.173898010984445,26.6266275379782,28.808561690442165,28.036775445458694,34.095221531695934,31.862290165577008,35.205293168513556,33.425699508272565,33.74476388690816,32.039178908521805,30.76507158843182,29.472451516546073,29.31429516409564,25.926563646798876,25.04788834447918,26.747293745785232,28.63922368358878,28.070152589091393,32.328362135067984,30.22789857235837,33.73269131294522,31.08418985007905,29.671591729410235,25.188742506378034,26.85637041701479,22.766185286774988,24.841748706882104,22.947312144831283,26.0068063618407,24.947143996785083,24.690836283905057,24.321487904608766,23.056798456072652,24.57839149130414,20.939009985156588,24.521431047974673,23.440531112898054,20.804077924678534,20.697828706649503,16.546272783057034,14.049790677251222,11.440506712355571,8.826563343712824,9.28956469286748,7.499193934185991,11.27957617804118,11.214725388152914,16.6936090932686,15.908959506752666,13.475837081512731,11.012268318774437,6.997965089505793,5.040274522135487,5.5802454648494635,5.827569644869222,10.549355182424854,11.634463414814423,15.134329739319991,18.644842687671215,18.798387813384736,23.219875430685303,22.460550136941368,23.152628364536707,18.477573367127672,14.348666000399456,13.305790116108968,9.828377403665693,7.2845400186835185,9.747872444311712,11.883762901014872,16.738970061587583,15.047511843011192,12.891541756906912,16.511004004794287,15.732426215587829,12.621939039413602,13.504863544710275,14.274934661495202,13.755319082643869,17.082002085575137,18.756865125876153,23.641177181313136,25.48582535715681,24.67050158205878,23.6305152825641,20.156785279541964,20.26737767578322,19.103777317962493,18.212676165622188,15.68939708138847,17.873925984873,14.513505046808428,19.163823797379397,19.28474182227329,17.003211093764076,19.814815124563356,21.687257853680386,19.73640452964152,15.77823926817306,16.235650074769413,13.92057790816272,17.802693104261657,19.412146577436634,20.89895536393893,22.94940459533888,21.848446693509594,27.13752265618151,25.41543141239731,26.503505963028765,23.641719318286434,21.572060994201404,25.218097223210563,27.125710892814975,24.044994751727668,26.664526736821006,25.46503944896632,29.902070139762017,26.419573754794307,28.445541253288734,28.12528397563019,26.044378646041302,25.668577016021874,24.192878450581844,25.25546852462021,26.4482461265115,22.29309474810346,24.75080483014461,23.814412929257742,22.448819418729208,26.803169531385848,25.70400703901731,21.701775067870766,24.01787927929756,27.477536155733414,24.090520265029692,21.73021055572671,26.507960360568987,28.723065561486834,24.020746805711283,25.75652432848493,29.313948315658227,27.167272052512782,25.314574653665854,29.467331701351334,28.45611331783477,33.07238840762434,31.80618949874468,31.03638509246559,34.62699754126406,37.89747914395007,41.76847207528842,42.41950597479175,42.62827825953793,39.69998340186021,40.93015022330206,37.41253158261749,40.726190102923205,40.74928237601054,34.42323353010021,35.6187563883836,39.03625116947514,35.66648107883197,32.41188157410768,34.35346050109735,35.56917446818474,31.982158129823357,28.762297519767426,27.427396520713177,27.86293020788848,31.507280963222627,32.21290003732183,33.53421482264103,37.161240324382995,33.589518584831275,30.182136301254275,33.949761824071636,34.0496305222684,29.066397951204873,29.534792170527354,32.61475455998997,31.031908592299562,28.717625204214087,33.60867847308675,34.66794910647276,31.345734935848213,32.77994082732139,36.501607105790534,34.899540216412994,36.41941095301269,34.016345504368275,37.33346925560546,37.477036149914134,31.743749567137183,33.616542170936704,36.07772622162987,33.57629773325205,30.44692917999003,36.07862503136993,36.273820016662576,30.834345050150382,31.278906675938995,36.53853262828915,35.637209915279776,31.744996890258804,27.797027205208263,31.945248020756157,28.693736703625042,30.965559803801053,25.87192575743101,24.86004375498869,21.53281497798361,21.471686480036194,20.899197446936633,23.03486071146502,21.58930328112574,22.998553341982603,17.93470973704709,19.12673488615563,14.510879802500718,17.391191994709335,20.29313700821675,23.83549824954973,22.90320603528104,18.550506497666614,21.924913558296392,24.31269623119163,19.510218047157462,18.859021260817187,24.42392136692257,25.574311593534276,23.79327724041064,24.923305269583004,25.797626164590913],[20.545434358232374,18.428005523883762,17.7904728866158,11.78707311563512,11.448030581118987,10.647416690819945,8.580897258206061,12.456291744610402,10.807936222697554,9.515504705992688,12.776747247185206,16.157076951393094,13.84271364711904,11.926095301467951,17.11077790356001,18.13984749025611,15.630517603857013,19.817431792288488,21.664240658433176,23.85536822116439,27.072497989151305,30.59755413581864,31.124438207190263,30.394660158484154,27.15371487533479,23.530727576661413,21.60259734451254,17.936428420690774,19.319225316066746,19.664084799581513,23.372203027158427,23.17174797214212,27.054714351528837,30.118827559637424,27.43185342187968,25.112227967892128,24.36271270004309,24.012645859835978,23.580790825802715,29.505929193609784,26.13891212976693,26.87440008516496,31.184295191465804,30.636060753492366,32.93917124620826,32.973540419904104,36.924839355026606,34.98301413469661,31.6201296054966,36.36558388770629,38.22844160293605,38.1364171907588,39.28744694894527,33.75748163233888,37.91269879583241,39.87032948255157,35.65716531285423,35.77453204047015,40.26250827151516,39.482976832111476,36.40773250787875,37.883425029516296,36.261292688264234,37.815110396604055,35.06658182553144,31.574019365535676,29.090926101266167,26.296582189922578,23.96847512458722,22.291026180625686,21.593896098263773,24.55248164290411,26.052458519821162,28.90077330465851,27.949491014607347,34.12781458982337,32.44116975004098,35.488671656495654,34.13462606511867,34.98544559779035,33.16993774686238,32.470311844718346,30.80657231151882,31.259573602702535,28.176830381120237,26.664029847100988,28.27079596240878,29.48219926802288,28.903054228525534,32.48182946401262,30.15042645133498,33.32859690319554,30.300524983424253,28.574442812637763,23.90248078007322,25.035788051915386,20.729668926041175,23.204442588793526,21.115484020176744,23.927646097601247,23.896038935370242,23.7841234573061,24.262135461559794,23.153917353215558,25.698500097249266,21.901953598596542,25.54530743222461,24.967004556613634,21.951476516655575,21.294400387243492,16.80666044553673,14.858755730668863,11.124846792172466,9.95697890908547,9.471385481830275,9.19291318124116,12.704855907421244,13.640780775478966,18.248203351825364,16.572634446882258,13.835480645526404,10.719783457109676,7.948198825009974,5.443969146419399,4.321125852955551,7.839853419362062,10.622684683494635,13.187665285496212,16.76771519852732,20.522604687382596,21.183865596697192,25.504633745922536,25.345577198860703,25.53990026085688,21.450400044868527,17.172869956356898,16.383095737135285,13.466324647900638,11.432637530880454,13.461168378210939,15.783795086636125,20.357419145211274,18.05740368281466,15.902838697997751,19.245823958245627,17.58171762991168,14.528635485133249,14.294690955989191,14.830062205895066,12.99640175252832,16.18648578178246,16.71931207543022,21.82559095552012,22.75757279229265,22.101726515841115,21.79760146377056,18.675798104582523,19.425819903108923,18.734008573689724,18.703681733050225,17.46196570883714,19.529921394971204,17.334233853557407,21.893841479317487,22.739359015261634,21.046594382685363,23.678618091165724,25.82975460198487,23.7433865377092,19.8818765890736,20.0060671909826,17.568103686105875,20.919671198046636,21.94655426067957,22.86464617258601,24.284037671363635,22.65061579768996,28.061072620725593,27.10208895543567,28.243521952432154,26.160766230602743,23.545856300166705,27.822403287354064,30.101723932738423,27.182776065346673,29.790364812713026,28.45481940289885,33.16155880782962,30.043424466543335,32.17795158621095,32.036165322970646,29.737288023759266,29.394606043286927,27.734311187316184,28.562148310608816,29.572186219595206,25.197298862915392,27.17971120965656,25.77951284297162,23.904313164832345,27.928458523172473,26.25126733228705,22.305171017524987,24.767422386675335,27.760662200575375,23.837106830338875,21.8633214391488,26.49949565847255,28.076417030641842,23.04773784043688,24.97809871408931,28.293423427654464,25.58284099656441,23.822783074338727,28.222050760330713,27.725363545768158,32.20180114265422,31.910917055454224,31.07416207181372,34.42127480604979,38.147514130105286,41.671296570260886,42.845287324504866,43.00374350269598,40.311811584844314,41.68178902201543,38.2240955644358,41.928442553525194,41.914517791830846,35.60074779037437,37.06574541023381,40.78175860989185,37.37676669032624,34.23969220912941,36.54208636538649,37.818107609981915,34.076355380858814,31.274408684271677,29.25290072736308,29.64709262764612,33.068519335036214,33.154221956214265,34.30319703774812,37.482419227781925,33.8679359484325,30.667876554780932,33.91822329372776,33.666685535543934,28.719353632505296,29.175961145383102,31.721818884559575,29.78113944302884,27.62545501332108,32.638299645108816,33.235199510314324,29.577946911336117,31.478885413766836,35.339944367271436,34.135921193753134,35.96077499374834,33.86799203238897,37.511032303383224,37.38812772677553,31.724477047669986,34.13069844211154,36.606762432900275,33.966953832220035,31.329509653022686,37.18798086422266,37.22315754411346,31.846776902132408,32.819401212116034,38.06895983355887,36.97763690991071,33.120867160514564,28.897392240254742,33.24367678280736,29.719255040437858,31.430456754731374,26.120921361169678,25.027392687381543,21.032303143754543,21.407754050125803,21.48991139496814,24.182075875302413,23.128788598348248,24.24212458103267,19.051613575589446,20.576021150808483,15.615144605448364,17.257347132364234,20.061555024431495,23.263075701472037,21.914151385889298,17.52749909289489,20.63318545298268,22.51310269849771,17.415929857571214,16.731922097460373,22.160787041728167,22.923729737164205,20.947670005108208,22.18396770766854,23.130362996402198],[23.39256463335359,21.745999455891255,21.670321100512755,15.506721723161096,16.00207548983457,14.518460827761889,12.420120931055122,15.626613895323999,12.687669979690968,10.476333550124894,12.715400896648417,16.76858360228403,14.613353065817993,11.21126584690423,16.297491045512913,18.043652661196685,15.450314196621353,19.05299101658413,20.345341802875907,23.35133408849993,26.17431450836762,30.123252010544917,30.256875006294933,29.595235649663064,26.734730892732205,22.75405850535585,21.596180517782138,18.001318599990135,19.456467124024204,20.309858363823007,22.78074358955179,23.70972282552395,27.218894667991762,29.991796184473696,27.735573438158017,25.209906054724737,25.34355701396435,24.706969775919237,24.62946739519863,30.863057674369898,27.04244990366446,27.072146024752232,31.510718139612724,31.151418438205756,33.06918256259816,33.238311311732026,37.231789410213864,35.56194904109428,32.543185582111136,37.38381094381187,39.349759515314794,39.54156885230436,40.54800859205755,35.0925047587445,39.37816460391616,40.787666962748084,36.35854744206387,36.42173319201146,40.798081331907795,39.87458180993556,36.33333383683631,37.51247653444718,35.83937500061649,36.87987938568617,34.33434192849973,31.117587905237915,27.80447599911062,25.164548966370084,22.076361557341,20.336940729884542,19.10277404939103,21.571959980058562,23.69417467044368,26.800845113914004,26.500746470640408,32.74228811255409,31.684234907976922,34.91333345486618,34.02059006301826,35.21076855727726,33.967467187235314,33.716119783680156,32.54451144927354,33.33112458144675,30.09561251289501,28.188331803145278,29.058307813950403,30.40888750785331,28.971646337944904,32.41152155264868,29.516421902835834,32.187909006937325,29.183827359210273,27.80106498648771,23.203691806057265,23.889329341450157,19.628900037066746,23.21776188610768,21.718589951623276,25.181112550340227,25.241819480020077,26.158684624800056,26.42173580286525,26.202703351450783,29.03942741134415,25.65048895241288,29.558586695856484,29.21480104015398,26.405433917755403,25.501126625463964,21.136967751540364,18.7733217568651,14.810561423121108,13.305492326532208,11.101777615279845,10.417965680867534,12.796347059340128,13.306486335956457,16.793999135916863,15.378975870214322,12.090781494555829,9.422409142509583,7.096656148992578,6.670377269508223,7.701021798725618,11.769358962044098,15.112051861773514,17.517836900797334,21.18263822008431,24.62327519312356,25.517892704356786,29.809174402884533,29.329150117558957,29.409798088239807,25.25403812995627,20.907121163080284,20.452700271608617,16.952696097480597,14.142870802527701,15.633648723588472,16.634489118119145,20.916727077671432,18.280093766767678,16.909541719857092,20.2959286877944,18.715986461648995,16.070581883093443,16.25116534385827,17.61553005144535,15.795063268422721,19.483567020862786,19.269755059255,24.527945292114904,24.85702848048137,23.690154427111985,23.79094663092544,20.585677409874457,22.130711349707386,20.818259336504877,21.824508935529334,20.426277085085076,21.483003098852066,19.492890440119325,23.86663166020406,25.123787801152684,23.330824864938123,26.57098878711905,28.543434773958687,26.914820350688025,22.85678396208904,23.328151504117336,20.603601038092528,23.84116857659313,24.7941638894531,25.41716952802472,26.966343252249608,24.710161086970608,30.32939921212039,29.363444855445728,30.94691191875326,28.927628844003255,26.908149312289304,31.228382834540934,33.411062711356195,30.28769956900563,32.24551277582612,30.348346578269048,35.12344623276397,31.622193905465778,34.35011373316768,34.46500931084305,32.47117187128519,32.56968983541031,31.253390250526092,32.37105264991179,33.62335948422859,29.399878798702517,31.594779013032298,30.331547049487224,28.520204296815407,32.583102944616826,30.863474574165593,26.941388335359736,29.38191064359134,32.342784734241015,28.32599369779984,26.28406907420429,30.904935663768406,32.39281828258676,27.174233960422807,29.010137326434783,32.27339929747143,29.356911791824004,27.369781812980413,31.80617993936208,31.514233470144294,36.043559329942305,35.869728172761874,35.27339159672893,38.61928144959702,42.50052293059594,45.94734525122409,47.28190461383529,47.53517633867765,44.91070812024019,46.31689453370982,42.8592093464334,46.57581650139615,46.56072495242085,40.24728668298183,41.70474190773649,45.38991721176615,41.95785983601077,38.82646501479915,41.056069563155134,42.26368447481569,38.516713081688664,35.6704073798517,33.821759426573024,34.207310992049116,37.66259872120587,37.785152520272774,38.843118078961936,41.96496938376283,38.246258819159145,35.19359154173956,38.39420886259192,37.96009676362489,33.04860747707627,33.60555552228815,35.93572534041915,33.83175292365221,31.799221362698063,36.833172340494094,37.19131496945071,33.34676570579823,35.46365259556013,39.38668714734266,38.35046224688269,40.32833352901566,38.353582014457565,42.06240610965202,41.82592260798584,36.1817119247467,38.72513343568683,41.13098708250159,38.40981552956656,35.87989716256918,41.74403599689529,41.61661874007339,36.20533964131418,37.28207084206718,42.47195702564497,41.20048554317127,37.287475017014415,32.96332276559293,37.079829527680666,33.322741224912505,35.162963666260886,29.787167540521843,29.080374479839676,24.963949567741544,24.9933151855681,25.367292209060174,27.990465850843773,27.21721883611303,28.643014196655187,23.58721136586059,25.199616233236334,20.259605599257853,21.811538263031363,24.51959395631683,27.62862303320258,25.986139324770303,21.778358632966803,24.783969625035773,26.328078470301573,21.03273642060259,20.463763989793993,25.666672032649686,26.072336276596687,23.87321907663265,25.02926988619163,25.843010053568932],[24.22295970716518,22.671995732987853,22.282257876663998,17.02566231704733,16.597098812130287,13.974793546040114,10.841147908631267,12.771692058641737,9.368271820460917,6.0392324660464345,8.007043391783572,12.140149565390024,9.877117181405838,6.396031819785324,11.582347135633123,13.312710951085904,11.294355249405944,15.23616802003227,17.54629344693972,20.249025410069613,23.528801879535482,27.49316655874128,28.088210240847307,27.955950969220673,24.869834582010025,20.80281726615424,19.23781711034023,15.192129097871803,15.71673532432118,15.983365550205972,18.274483852121598,18.98040657971598,22.400969620790054,25.347414409117448,23.223860703515257,21.036606965363816,21.093496222337638,21.231833108281844,21.656468356941307,28.021213700980358,24.910710475165917,24.45229119937183,28.86506561957994,29.105087342004158,31.409591501837628,32.12756257262464,35.91582833707247,33.72564973586989,31.17740215203491,36.187675475861184,37.54843266913646,37.62057452901215,38.208255473002154,32.6365185819993,36.488554341499324,37.97521365097391,33.639614607482585,33.13167564230512,37.58096639479514,37.19589485451474,33.510974669271235,34.28502733888559,32.265479745158366,33.71796260923611,31.440558471802525,27.85471292350505,24.780143839071066,21.63616367974696,19.067048359001532,16.766329799870054,16.16606475260852,18.984415697269316,20.357013461744298,23.65238650821379,22.68030467508281,28.898426725623043,27.851930288397348,30.758410767180116,29.970132311107015,31.433226345599785,29.991290558903945,30.144815170321877,28.726846063606544,30.015460939093124,27.08948153320671,24.643117120373134,25.472436017630116,26.273268595636473,25.014641899098265,28.018684124558686,25.21933631851138,27.948688480720865,24.782215709521836,23.158119762607676,18.496825876493634,19.293495907517244,14.997867014075952,18.341107014295332,16.88338268268721,20.59332311186136,20.51888889041585,21.89259830637766,22.144290951886962,22.505566177087275,25.8742160644457,22.908230609125965,27.08818435870912,27.39730592919657,24.95684872586077,23.33702304481136,19.344965282955062,16.49066922505828,12.2384401672513,11.130624378693344,7.723649827504906,8.499074207075658,10.311612217520626,12.393976764163599,15.157960697728873,12.456505170396783,9.678843917602485,6.2995855546366375,6.552613879334222,5.406882859098951,6.184460354700516,11.096790056349976,14.07406939169278,16.44353688810556,20.14132073083134,22.929331990435724,24.891919478554392,28.79255843907234,28.41672130992716,27.672388948856607,24.257495873172896,19.783867184192747,20.62628790436209,16.98992714294959,14.653045712530623,15.114905291600003,17.017689967368696,20.53738022397063,17.211950919496413,15.51210435369686,18.257594615164543,15.769654007733397,13.375258041827925,12.704722512861796,14.231620155012306,12.152227536679625,16.166929883525665,15.567788519563429,20.813789585621482,21.3535633275496,19.56911527214062,19.493347792618618,16.16779405313595,18.163970190373057,16.551220519967778,18.433511318052783,17.712541492574733,18.239532877546594,17.51221980963527,21.54830772061165,23.745959041821166,23.07785108936135,26.109695461647075,28.741655854840566,27.37385559168732,23.34067424504224,23.194433318927267,19.97630370116887,22.242294892318164,22.474514821689795,22.438069584536596,23.54311709275425,20.79438263047169,26.424236089300873,25.96142858697255,27.71326852205687,26.431242800470844,24.35352514118772,29.166726699958655,31.65596520471189,28.651685125103477,30.255980667812178,28.144012033730295,33.19547400940068,30.361580518674025,33.21188979404114,33.74763346787091,31.462756640552755,31.970789735946923,30.72518198701285,31.862503089083425,33.404678138404996,29.372052594206526,31.340764703147325,30.397207818738124,27.960316381539826,32.20099087311454,29.978338093918037,26.321076159554472,29.51180629620493,32.10989707230098,27.99296395265795,26.97912887721838,31.395959149455415,32.20138543983473,27.530208533496513,29.87126210739105,32.83520841505841,29.639419540201363,28.49776888414529,33.041121556537746,32.90913324481403,37.08021941392541,37.50367040822928,36.35258813558217,39.43592649687005,43.213198313443314,46.50539946159552,47.787979464650114,47.53195680554143,44.751832709472886,45.808547562872505,42.047757495889655,45.88303820177175,46.32830957662257,40.07673270684144,41.16902267972254,45.23199818687531,42.18398193202551,38.82841773331042,40.89725928081216,42.76438364604615,39.222063773402006,35.915960051405555,34.023201210045286,33.50110812323383,36.83246344896962,36.893277019751544,37.39719808104064,40.379051078054985,36.30191410829311,33.76220031316959,37.09177799866204,36.13599514413547,31.322546029683163,32.53310833309011,34.62528507922391,32.41581458471972,30.975851913885233,36.06975911730921,36.24135876434554,32.65763110160395,35.23866354918194,39.05984900033899,38.24421293860402,39.90541444354399,37.70602037083502,41.557444026836066,41.77869378736328,36.27521222264675,38.58602260578666,41.428694702642176,38.97878219223644,36.343608787390494,42.20123396763148,42.60979610403774,37.35335202497451,38.15253384587562,43.50921766850691,42.6952911128941,38.92217054977506,34.784865295483336,39.28141844892166,35.83386102435852,37.344175600779245,32.02932438634219,30.65793950655835,26.44310664415433,27.27569727246775,27.454971872830477,30.258720215341647,29.044381449423174,29.77217521981417,24.329184460094652,25.219997692961936,20.10648551975133,21.675490551757516,23.25796786559414,26.347562343281517,24.00346782217791,20.483232694532322,24.081833235192253,24.97138830682613,19.264813873425783,20.000904099190326,25.059845496358754,24.785316502324388,22.224808729777227,22.86035367918764,23.322658334447734],[21.482762408575272,20.467922741590627,20.490801921359935,16.17584567622638,16.574107455321073,12.109342775294262,9.52853063219886,10.528958111067213,6.048864917359001,4.91324250989903,6.0848510147556425,9.63212955193927,9.886314533293145,7.175924943013464,11.806907738244632,13.803358698576034,13.457375627687265,17.62796095849296,20.879958637212592,23.31065442899239,26.900143389865278,30.825790524510932,31.74720582521281,31.951086539569346,28.770968087890033,24.73067741156304,22.887280028037047,18.623678799719038,18.173132446388927,17.297106954408715,19.121501052022193,19.052707096805477,22.019057447930884,25.64993017374623,23.98251996587673,22.62735283233915,22.23755510928034,23.67833075699009,24.476462686231216,30.728861532717485,28.37927916642113,27.776248767971897,32.079938712472824,32.70032958575727,35.294249665564195,36.24637111824893,39.9085459842563,37.393871411977294,35.002953433870125,40.032037000789764,41.037376915227426,40.91497905682345,41.27643879829465,35.622030664759684,39.00926013850765,40.791246884138275,36.64359986056245,35.60697902210718,40.11816421206598,40.27571367837922,36.57483175298058,36.94315878497025,34.529135524631776,36.391234598701956,34.46543805883324,30.573967480369053,27.68203122401427,24.06162754899156,21.890040721584572,18.812293667666843,18.707587128832365,21.243096927199904,22.190270547206303,25.993348156645457,24.44387668846373,30.484977890116074,29.776172721008873,32.09948424233796,31.582767917789553,33.42163879262651,31.56081392588722,32.09674805139085,30.028815169659392,31.75323317529588,29.323938072008442,26.541825526116817,27.667614583279526,27.568585639472005,26.86975664766273,28.98581296416369,26.353378426221212,28.85020586743248,25.28083665872582,23.067308802403286,18.342363584727025,18.538152804656228,14.135664363817295,17.196831725290714,15.177900875510222,17.989850906207742,19.38531503123257,20.39709713163108,21.841448506753455,21.962530613535876,26.20075152922829,23.035039044086943,26.980785350615385,27.71356709149374,24.952823581682587,22.91421624019168,18.863790823360635,16.913760936163214,12.231482726473581,12.862040604678299,10.176009040271312,12.27263675028453,14.170939242205916,16.894684401898868,19.348223521142593,15.959283095877582,13.643242627550222,10.228337832264085,11.266090913613557,9.344844056781804,8.017508310028402,13.229537084121866,14.150034622922607,17.436001453709736,20.879055214445568,23.827833907767754,26.088538457598275,29.783469701711088,30.099935933564172,28.971859996643385,26.204190333892853,21.801211627010378,22.628416108595445,19.749053465648725,18.117764844049745,18.76809764246938,21.401891292115014,24.889267139072622,21.486570585057407,19.450718562705823,21.826127047572502,18.710275946410714,16.371098166229412,14.467576321683838,15.09473454590152,11.754877380629246,14.86662626532,12.940509464731075,18.072488694341555,17.552545769935396,16.157778100375086,17.0003294150174,14.455590125103866,16.88351060804304,16.309784294009155,18.612826854656607,19.369773395726643,20.304412684192002,20.535489682214536,24.41204400788497,26.88308735597957,26.68131194293838,29.207411501021,32.106741045205695,30.387347040995902,26.553688880618818,26.01392692821256,22.949545559803624,24.848036763505874,24.62285841135737,24.215585594434398,24.53812187222473,21.68316241066717,27.048874137031348,27.457134867002797,28.957703711079844,28.468215873042674,25.619788770133557,30.862349910287097,33.69802148874722,31.0095543119236,32.93650191013692,31.069890933366516,36.22340304973866,33.97388640543282,36.537696837631415,37.07138999285507,34.457787955073584,34.74031078795586,33.16865847364766,33.94286229368396,35.19228844000501,30.969942372458355,32.38786502091304,31.02656053669303,28.133302706312506,31.939549793932787,29.196831274367185,25.771686915280295,29.076116300577176,31.103998066577713,26.650498747698567,26.26173176035727,30.32249174334542,30.381609346360236,25.770978732865164,28.329132213491235,30.885796855529286,27.25224432995619,26.540915465461836,31.141023045648996,31.481786274953286,35.284955994436665,36.70326480305099,35.337417232127294,38.0606352133746,42.12449150310299,45.02332735154294,46.73001858579695,46.32189690275132,43.77268642173515,44.895042714866165,41.221112354796865,45.3930122176008,45.842814297264894,39.71014773413358,41.00851522542533,45.348742479742604,42.356111373501165,39.1397067667904,41.5310285916222,43.51301848168966,39.895589838514745,36.99555113547171,34.4491200006209,33.82591500923904,36.85174598361877,36.28915691526841,36.58964562772464,39.058675085673066,35.02782104186185,32.76501816922266,35.51371021128202,34.21044948194404,29.576341918281106,30.798354254149086,32.303941475045775,29.8145926130283,28.66823375763494,33.72946994618635,33.45325088093686,29.732124822084558,32.75457825302189,36.57613038433275,36.17307030994611,37.99517188614691,36.084164634241645,40.1754715273965,40.23517072930351,34.94690001917498,37.634024297808985,40.51861630907743,38.058789221903396,35.894120504380005,41.84094787212165,42.22515336636078,37.16673146364812,38.352982339570595,43.65461085079541,42.80584133414713,39.17066980091311,34.9448136620523,39.65927055140157,36.17943350589952,37.055124484410875,31.74107973568107,30.093466749688474,25.505469047385677,26.95587583725631,27.54236029487446,30.74983385527851,29.72979991459289,29.978520024036293,24.554198868961002,25.552249698194252,20.42041836911023,20.85096555309893,22.038760813156394,24.631568570864893,21.932559683666305,18.72532270852358,21.943313849036944,22.161266109126093,16.447789909264007,17.47922661091443,22.017522524571827,21.204767401942703,18.4861892667527,19.084985548107856,19.550124276981922],[24.565341569082218,23.839500290944205,23.980229995497545,19.9300545947727,20.251207552073147,15.57608954854831,12.833103438364576,12.833401238822884,8.07379817036909,6.139250343000203,4.768921288939267,8.463110869819875,9.475594371003966,5.9875063334275564,9.516734347089866,12.176740255756421,12.634373143129283,16.22612076139679,19.675495302984015,22.3480431602592,25.831157588061185,29.93773542250159,30.86302629118196,31.426239627267194,28.44415350137743,24.274262937728246,22.75597443730232,18.51777261926372,17.486415296356896,16.510852893040084,16.968453140974226,17.59355617903526,19.979628678029307,23.506526574655012,22.39974021450407,21.273279060782492,21.468250152441716,23.2458480414258,24.553790328696852,30.87631284104174,28.714159642716364,27.42308524446852,31.672897471729055,32.74294626203451,35.26310228756642,36.57179667516779,40.09288122110351,37.500253309907215,35.602444446461405,40.69692816830165,41.433386785938566,41.42063118830871,41.46030724121587,35.87264677148529,39.03493103172592,40.495567502670276,36.33412935196343,34.92582939090968,39.336316569029016,39.734331852656226,35.7005157981472,35.58681059673998,32.92971739394503,34.68370735562722,33.13453683102937,29.271695800576303,26.022035484216687,22.24331104576264,19.97629839190327,16.429477968672902,16.452330314713564,18.634118321009975,19.442622661105723,23.58758940078767,22.04594646355666,27.962587082553494,27.817990071124633,29.951387818577576,29.898863787709878,32.16101003687059,30.589142014460634,31.692671740688347,29.822418714885533,32.02981776419896,29.748320902375145,26.48121490387173,27.074099445772678,26.66503184111307,25.52332733191406,27.085851614123648,24.143549599533053,26.175498537454093,22.49728136653107,20.33686105301856,15.728054564191384,15.4002934016575,11.063219091342614,14.96466808827795,13.550330929390562,16.90420476321005,18.42950260469125,20.496469611247885,21.8038096364577,22.864743464526036,27.446914278804616,24.831834457002252,28.950514993100853,30.09333443498866,27.669980131987906,25.25313832056561,21.574701429733487,19.259081489815994,14.702103450352242,15.197675569639017,11.577942300104178,13.830463237514586,14.696993229204205,17.702508979475574,18.947316918649353,15.166059201932583,13.135028662530143,10.222705519378158,12.629523412457967,11.52712534497041,11.064257121281523,16.166534488044817,17.373428377569226,20.369565459046537,23.789077393762877,26.247763275925607,29.00257559835331,32.48849207212946,32.65545513920382,31.13779513641403,28.676595864497155,24.26900176569945,25.69709947006607,22.50784053037998,20.700579419617274,20.7798111032606,23.060230479894056,25.989324378185817,22.229784495957233,20.546437108323016,22.527578439714187,19.146983023675766,17.332975138827752,15.347240177317113,16.45138841403442,13.286197110702584,16.53845554373487,13.986646712301017,18.809365909806996,17.90197832556492,15.72866280233113,16.85902754400318,14.43320261543761,17.630160626643637,16.539834288047697,19.910028471159176,20.88524978180763,20.9425231023224,21.90500627226713,25.37767837691205,28.437084699130576,28.654516928075058,31.36971933809209,34.41504195534489,33.04516951234379,29.147315567819305,28.559408803716813,25.216987866238085,26.6365882494106,26.059441076348214,25.173396470301057,25.31124303125794,21.88625018564384,27.190534327894227,27.905048339114042,29.723702452151368,29.674164097240364,27.20420862953488,32.58867824948158,35.46870602069959,32.75993542940365,34.12745519340115,31.870554054274095,37.11086747864277,35.01070841016306,37.926512487166875,38.79028650366679,36.240736375324566,36.93832526234157,35.596035736080076,36.53110050211345,38.02979194305094,33.993338624768626,35.44187995108636,34.30983293921917,31.244589445555942,35.12710926087545,32.201308240026265,28.942383838304572,32.49417751273258,34.3619072948996,29.897077771854907,29.858247422717522,33.80984367269071,33.56182823208235,29.161883544077046,31.831107940661052,34.21838998629784,30.42822321603875,29.95658376835858,34.55214583278065,35.04151373716839,38.69847461098615,40.38404816256047,38.924006168088425,41.52895150763158,45.59457601820922,48.374951527373284,50.127907860652094,49.54161128298141,46.96643788410302,47.93679023635796,44.14367541013499,48.34290782506705,49.00497295248333,42.93099266725216,44.04594989878581,48.511608424586576,45.68720028542551,42.38397591849785,44.643600309829964,46.8694114741318,43.349763749410215,40.223182992928365,37.78813834429829,36.78225248427823,39.75558302074819,39.209186423895716,39.20181197047314,41.55076952245363,37.332065145561195,35.42909024949662,38.1861834343071,36.543490920171095,32.058808499685135,33.62722201473811,34.88183198413591,32.29526120977492,31.526084738569732,36.540488273499896,36.04417847009328,32.4124876776798,35.72066345083252,39.475688744039275,39.269026427801755,41.00439372577011,39.06783355290515,43.216852291435444,43.43048778209388,38.25575043454559,40.87547719267398,43.89784709229703,41.53001693306565,39.36834135577865,45.282686235671015,45.815810468956066,40.81403288637258,41.913196032461045,47.24419817166517,46.503214752317945,42.896871009840446,38.70849897558305,43.44832391504235,39.98230029354658,40.82222356834612,35.514285497837264,33.81786606618648,29.196703355371625,30.726577927097473,31.33848022919306,34.5457960983863,33.474829859525144,33.640244986995874,28.158903759886197,28.914243340733012,23.79457419940627,24.28498741216366,24.969683015853892,27.455828939767656,24.360050460629775,21.681810267794475,25.006960399005767,24.750896590707185,19.002510773122573,20.623647015719357,24.801369752709597,23.476173515827618,20.55666250630369,20.769044671506695,20.916520976775463],[27.040499739174496,26.374948512823803,26.7871341927423,22.012503191137437,22.76126246916133,18.690055975846718,16.12987410948298,16.85899925787142,12.17845945733409,9.696660853829878,8.555283228332836,12.419876688783017,12.555931920094034,7.9798548183677696,11.162310086389262,14.259549006680322,13.943378268197357,16.741749337025773,19.17315776665913,22.604310151002824,25.534390918881712,29.935701788822374,30.3594140690992,30.781975490670817,28.19479156781686,23.835222606628285,23.066589953057413,19.13032912511146,18.669304255530257,18.604295819978386,18.208332827148787,20.088315186023713,22.254530158768485,25.19144906348072,24.29979827883763,22.69538470504048,23.704846748731356,24.641720292989977,25.923632633376847,32.383842969992614,29.54718916574382,27.953125261689436,32.285894125475906,33.23123453772368,35.298904672991206,36.5027616060155,40.110331652663426,37.92893091170015,36.11168289726742,41.195293304511594,42.24281645193093,42.502777543145626,42.61576643943692,37.15558525036686,40.63398355242221,41.614015495177675,37.25039902670934,36.10598208203808,40.370882479402766,40.38079643562538,36.066826848994275,35.92480489887542,33.430665017198216,34.545936428111816,33.03070596515719,29.590747152904605,25.57461825938758,22.207824188640334,19.05364429220508,15.748823666513642,14.956844308743712,16.516345251904184,18.258655874704246,22.52789867997153,21.929747146967575,27.892130071487685,28.23842286191769,30.736279896084493,30.975514933521513,33.31167891364848,32.354917177515105,33.54049454589149,32.27495587397966,34.39717824248703,31.794942420733967,28.567434485944634,28.585368436713928,28.69578454926572,26.713424205661177,28.501776438735092,25.043933310253315,26.619074905568045,23.157435148113148,21.601410686322737,17.247252822335604,16.58218653775329,12.55427166231653,17.560183274291862,16.895515061352857,20.750557312415882,21.871291135462766,24.476526542358474,25.259368858897854,26.6625940796952,30.916140798688147,28.398425122972448,32.6302237686494,33.52428688445981,31.11780028412288,28.96824581724338,25.154239771296407,22.56142601168246,18.077095714655474,17.750233235611965,13.677225011765435,14.91286738097534,15.275098622948654,17.46359120135317,18.010999063528164,14.913596716971954,12.366118081594509,10.197926952054656,12.389010753426172,12.458671452292219,13.129924901791906,18.222268982471647,20.397286432333793,23.188201896880138,26.78383363069683,29.357351776229486,31.77181569961847,35.48634112615695,35.27888116842644,34.08860051044372,31.134035170846104,26.665883002178468,27.79964032735783,24.177311710788395,21.73391703446775,21.85297458484868,23.094220727883396,25.99487472241125,22.269411948110225,21.22569133587784,23.46386008957296,20.600784968665838,18.94715823511532,17.848538827283168,19.567218690723376,16.93385214277795,20.559824160458106,18.31254552215897,23.161075076670397,22.149752022235813,19.906051288835044,21.037718997225596,18.44157957307686,21.6490012525301,20.026935257814788,23.406874119124073,23.58969399395265,23.19337337387272,23.576942396499998,27.08954595400034,30.005666056803694,29.71907567426134,32.933891367886815,35.63485955175388,34.49319238393213,30.42257489348829,30.277785857362293,26.896589150459953,28.6861142104188,28.438137616207992,27.728353578819693,28.32444992902983,24.77807897322214,30.227004936123375,30.506886861850223,32.59316876570297,32.1043816347153,30.18424597986639,35.31565136473199,37.95626543872804,35.005748197703696,36.043219050744106,33.460606495452325,38.61958817404935,35.953680881230945,39.2526071843809,40.14324334494676,37.93090903293312,38.79741109890904,37.685287809499215,38.85882160955732,40.46991305335457,36.45142568249629,38.237489221513115,37.150649774669475,34.42356567959022,38.42150781783771,35.77143776658752,32.31566314282444,35.59141154425541,37.75023985744293,33.31690065121268,32.690598040594146,36.8527593540263,37.00513026375579,32.243137903856656,34.65144222171883,37.243981700379784,33.5340309812648,32.52321936000054,37.11803275145025,37.54970125355377,41.47183194206402,42.79071837636883,41.68620752160367,44.48839604988268,48.631587122675306,51.53306885480187,53.301636873748855,52.98031354650735,50.42642648492188,51.53108639045956,47.80404694445322,51.906167806886494,52.40750031026612,46.242217817177675,47.44016428242219,51.715277379109175,48.711225433078674,45.42914016637258,47.64317059318353,49.59561257954181,45.996558609847206,42.87569739175322,40.68190431380589,40.01345071475796,43.15402987812122,42.807084053440626,43.0120057129499,45.52868896462924,41.36010764684993,39.25364924970807,42.10560052143855,40.651110871929134,36.08091997630419,37.44804282866794,38.84527573401281,36.27871920393438,35.25569244758952,40.29232726022598,39.85016561731668,36.03848407725281,39.18565061995785,43.02862334173225,42.72826763201193,44.63289566489553,42.759700813655215,46.854731525627145,46.881072258099145,41.577187381485714,44.27890839191392,47.11901352258982,44.59655270501753,42.393588250916544,48.340061404946105,48.61090829827766,43.451387630367286,44.61576927651233,49.91485059558147,48.9273284929154,45.18692668530162,40.870349949284495,45.356742308684716,41.65578109823152,42.8157818863702,37.41428544845225,36.17742544881616,31.56805738839433,32.53677730845989,33.26081433006422,36.32049342691724,35.466948345129964,36.13093780285757,30.75206982661276,31.799079782135223,26.647956744423652,27.420866081042227,28.650610788708118,31.273474559844836,28.410541356438213,25.39188481980876,28.573842272897707,28.617226960287496,22.928598640270497,23.951719371804444,28.25859566501822,27.178549406590932,24.353691254599006,24.76653731934313,25.010324970494757],[22.000336969128213,21.799984178429337,22.723027332896738,18.60309303896054,20.423433631784615,15.349330567867558,13.892156613218372,14.693775805505119,9.955987092831242,9.953076614293268,9.488049818640059,12.467063451877387,14.276920107515211,10.933567661297078,14.570210649094351,17.286235010297595,17.55921906215735,21.13888433308163,24.149319306221457,27.12284868260755,30.42329788384383,34.63174647281117,35.30967643695019,35.632107622742936,32.758104934727605,28.516156230770605,27.19435067092322,23.01877587371827,22.410951617743912,21.554034612800194,21.999970828092895,22.57328341697845,24.78433998349613,28.44100565513421,27.480301044989535,26.389728957487,26.500689759595524,28.171671502925847,29.260185884368347,35.604171765122246,33.14101162811309,32.10440770450062,36.43049038099692,37.23184509382999,39.598851571196235,40.62328957747324,44.29979163531504,41.94701219925396,39.74714805345672,44.80504262350546,45.86189296019062,45.86632550896287,46.11821487361332,40.51080869198761,43.84525990857953,45.37074248760149,41.155789627698205,39.93273531757257,44.35250219714526,44.576365748079134,40.55544063783942,40.53371791850459,37.930454443531104,39.493994431500504,37.91544951300588,34.190754521344644,30.672040460507215,27.061389435655748,24.37139949294157,20.91190179289979,20.480488403392396,22.152860246753864,23.5769939663058,27.901234178261742,26.77312099869409,32.6555840016894,32.781514953403764,34.92847550903796,34.99053827699694,37.26504750736318,35.687867383148934,36.67748201411357,34.695294356091125,36.73447375496553,34.385606139669974,31.33804076043793,32.08460666059531,31.735240818588036,30.627460955152824,32.139462598956655,29.120264439424428,30.89117675568734,27.164078210456232,24.99605842728004,20.515331744954135,19.688640037935343,15.548128098004566,19.533793537615093,17.880955429052133,20.338842520597606,22.844926493097027,24.260160145420993,26.214122142714576,26.613826575693636,31.23811795958524,28.091288318299444,31.895715245354314,32.729030102677164,29.750761862443145,27.683528630319596,23.56688953587523,22.105501802850956,17.392929985155572,18.251168245872897,15.418897792588476,17.20493935220844,18.703269926664326,21.06695334328798,22.768800336229887,19.53783255954933,16.98897443160804,14.07689615417227,15.247284004695674,14.059625730391376,13.090981319701145,18.322315881310942,18.895839663806946,22.52304402872625,25.88263979035738,29.040984865676577,31.124534304541097,34.87206291701331,35.35810995021581,34.28750616063592,31.514610733611025,27.121749790361925,27.57033756210211,24.785910651152733,22.912995543388448,23.773906063013953,25.830406443274853,29.369577107961273,25.912668196046692,24.262819789909035,26.697427325453695,23.627561563770612,21.482034387590755,19.663862419342607,20.360591628171594,16.80592076022888,19.43259312456073,16.563170330486823,21.24309395015412,19.2480891006624,18.140860955921532,20.0998914847725,18.289719887409035,21.212287450405974,20.903398840447032,23.677544590951562,24.74312167732095,25.436247004337858,25.785831824111856,29.610928099589273,32.15371612503467,31.735766764929252,34.43659060083408,37.16204879978611,35.38700576883529,31.505602224304322,31.17114580962138,28.18265841939967,30.227949630107418,30.001684237153313,29.469979455318754,29.630822471844446,26.51994680054299,31.780304206638217,32.49537774312905,34.0863444862268,33.806117715203285,30.947929930323532,36.24955410061647,39.108095514764216,36.416675517280886,38.24953110347564,36.22240771994261,41.39247622883448,38.99318957440716,41.747125330632784,42.29790703060095,39.7777976321149,40.04784189496056,38.454568469812976,39.185008709810944,40.2896938245132,35.93237126524221,37.24492516506923,35.55110200756596,32.698840559246136,36.15215946087775,33.292270828937404,29.93077614028708,32.90246994543555,34.679698617096165,30.020202886913044,29.499181227981126,33.36738211411662,33.152980499683395,28.230377345560186,30.58641862756605,32.90531113429435,28.965554705449584,27.997808112388288,32.550390495773044,33.348962870588366,37.03630176674664,39.04423679271149,37.957176181607466,40.509355788569955,44.94555299535669,47.53433307217857,49.71988487850428,49.50883385851354,47.273938810429705,48.63609028753573,45.1875822448116,49.54582699981825,49.78161583064715,43.71996742581045,45.33180619602149,49.67151542698816,46.52289968548039,43.51243988355618,46.155953990889955,47.8788588041981,44.1064655605214,41.65564172606302,38.79366236610394,38.519491936103975,41.41587688183797,40.47623557672907,40.833583999123455,42.938355044960716,39.078389254011206,36.89106932333298,39.09183328492348,37.671741582652196,33.22363656524442,34.16973779333579,35.16889681794012,32.438568047963784,31.322295944225967,36.254650648823414,35.52904382225183,31.47354558960655,34.72992488932313,38.60154414146848,38.55711854727944,40.76732378367789,39.300755352898776,43.52042827367472,43.14341507438543,38.002628771688485,41.169598059642524,43.81065744314063,41.162537126900524,39.483220441767386,45.49150998527914,45.48856709670967,40.4899196202381,42.16074459726531,47.305523854673105,46.09498315906884,42.461081529506764,38.016523962624476,42.56613264897893,38.76678145558851,39.3824374559105,34.014949187886245,32.74059992738067,27.871700375977642,29.1585159486177,30.324582979520034,33.697129447205334,33.18863892550186,33.624008331826865,28.472066473901997,29.941190817978946,24.885671575718444,24.582710756745694,26.041461713406704,28.19403485125615,25.50282909248164,22.363099118945193,24.80695610874308,24.636546534649618,19.317322218825364,19.79724909520198,23.62835722337486,22.499390300641856,19.821423798646325,20.593307046361716,21.13779796141771],[21.95126509497393,21.604299020522667,21.979729223743437,18.851138152746977,19.638713658435602,13.984609071056765,11.94016443462646,11.256007293251288,6.429612957181387,7.161226445163415,5.932424881660525,7.826693742170998,10.85620651892399,8.938089608616647,11.846883746397738,14.102656974155893,15.371927554726648,19.220624330103302,23.14375028367336,25.412061067746972,29.13025337962927,33.05498959788587,34.233925919469016,34.877192112153466,31.735784416926762,27.695412474289125,25.819776572630822,21.491665141450927,20.105841860796854,18.385911343294403,19.109775324019232,18.717348833093588,20.867208393438542,24.922851485166543,23.962184820008467,23.434688691097133,22.999184865722196,25.568247662952178,26.891308941822388,33.008415959514586,31.357919780701934,30.29348769526254,34.43850933491463,35.58311395355653,38.35020005034718,39.675575816334906,43.1462875282408,40.338882407061035,38.356774679492176,43.41814800481805,43.98282126762511,43.771550498598856,43.76833550165504,38.125552569617525,40.99639941946543,42.82132818736318,38.84673210676118,37.20462735723001,41.67097027598454,42.39078460116025,38.53742159636879,38.33879913307165,35.514496286748646,37.646358147251746,36.20065510968277,32.123525117827924,29.273402224662348,25.283327006995897,23.46796113867491,19.725208624001148,20.09224580802092,22.220579432762655,22.673394863091268,26.88647745007213,24.883926195079983,30.57419489224319,30.395778952873854,32.10219182492655,32.03692873280959,34.360533157172306,32.33774776365178,33.47266403285453,31.035399909848113,33.34932111621203,31.419141154567487,28.15670833759792,29.20301065104741,28.236702133852866,27.776668267434783,28.852621435764092,26.283132086411882,28.32108240407462,24.455989067088765,21.818061171388475,17.3112453682905,16.729977447399754,12.59792698446468,15.488622725667346,13.365863333023293,15.42648960606717,18.247178702152432,19.529054333996914,21.858110650487905,22.360290747600796,27.393778175258685,24.517372545132954,28.301064472514422,29.63169054120318,26.93561278111711,24.356448144430562,20.68160684087434,19.21887327769398,14.624136445716061,16.238778205662722,13.573423589089314,16.3366517864291,17.711649701007627,20.936862910660277,22.608417221118085,18.65188761174257,16.832593933713063,13.70469870453142,15.723060476057297,13.89858253435265,12.285609616057704,17.232424651104346,17.014126386258027,20.53433949552074,23.662339342868208,26.293548974938957,29.080352464090165,32.406319590918926,33.1247037055983,31.45850703036083,29.4184425113396,25.141701496698236,26.377672425352245,23.834946102111665,22.565196689578464,22.943719079973654,25.839456028325937,28.963514866905864,25.319482001971796,23.26079382090943,25.146048503163758,21.52137128352865,19.562261948274077,16.90392331631694,17.164210774363756,13.283347002357868,15.507266518751724,12.092992208785446,16.58484466216331,14.755651303594004,13.247203206337963,15.193318333152051,13.63384847847031,16.78605130342133,16.79377089861056,19.96446166064173,21.906300333026703,22.579931431874023,23.884505672714074,27.35297708170392,30.3406070339939,30.739879075691906,33.00718097708701,36.18681776235079,34.46351727321756,30.75786531324135,29.904541092993043,26.791992754113107,28.098789768068283,27.332061030179677,26.37293757047076,25.991260932377443,22.799351288009873,27.776790176957658,29.03552483215467,30.506455221560124,30.891890139339754,27.75821239387932,33.32590267506184,36.418385471730076,33.98097631379179,35.779745491957605,33.88113373929889,39.121298642706634,37.4203057224985,39.96619118797206,40.7039236924832,37.89676456283733,38.28113475127903,36.6347121540574,37.24399718417637,38.44296897545738,34.2645084415932,35.27747376933692,33.805512647887085,30.4823185603084,33.95726638143349,30.718650546558678,27.679595745068973,31.21167061670189,32.63632693746611,28.010591040844787,28.42641307438772,32.037453742802036,31.25551275809434,27.001339145759083,29.78651288475484,31.831246921635515,27.80327738319408,27.70781002565606,32.252334038899455,33.05576689455198,36.37801269026243,38.75572970383009,37.130703603238594,39.44016387450416,43.66003448807255,46.13834162912549,48.17525888345811,47.49196633268,45.112948682657105,46.1468123216052,42.476054296088115,46.891099115380115,47.512805362436275,41.57525293725036,42.86839450655974,47.483970535510366,44.69795792053955,41.54584771013815,44.05494865458042,46.307578957258244,42.74818842814006,39.994643925086095,37.07455551559375,36.07629911417504,38.790245148172055,37.76836014788666,37.66925007975733,39.617301166926936,35.52891294337925,33.78988275801083,36.05411165918247,34.22829719110005,29.926183618092324,31.4158509142363,32.23584853323664,29.486815166412107,28.91410537802144,33.8295862074681,33.030475262366245,29.348916295117878,32.915590949098444,36.62403196633457,36.70405742635214,38.53807145977922,36.84127454322752,41.11590602469408,41.19281842314452,36.22975099278219,39.098767992277885,42.107870938786895,39.757074918523486,37.96520600449873,43.882613286234985,44.38995838835475,39.58857373443662,40.96055490590353,46.19957275301589,45.44575813907172,41.980751272366504,37.78786450247043,42.654017306531344,39.235053892189526,39.59021117226448,34.37030811165574,32.452241069508766,27.67534849417069,29.66610012775076,30.51462586681476,33.9564892080158,33.01154582713967,32.80422973639073,27.44475472890592,28.278212565990483,23.283591299708775,22.931496443429115,23.347517298134072,25.390749524225228,22.165137282308972,19.76676949541734,22.66998556112345,21.931504516220322,16.401626158969652,18.18585218888526,21.816936980396203,20.12061474911083,17.166607560199484,17.366712423525712,17.56150564376021],[25.256610223676617,25.447501884402325,26.327622343852422,23.189459331476396,24.580571003247982,18.84114175166653,17.10927913866518,16.349019173435273,11.614937141237624,11.751049690180096,9.427828128218069,10.938653887338049,14.455139166593522,11.767511717705187,13.37915113411003,16.289711814640558,18.05273417064943,21.06232231292108,24.712799634559875,27.465834540814576,30.833215426424502,35.00903492867742,35.974475188960675,36.862654820363474,34.07594972873771,29.86978762840022,28.56612905880901,24.389654760579884,22.775045790389722,21.237487390284386,20.274185199051203,20.879810055217828,22.105014951340873,25.90772450315541,25.777243329835745,25.46803589650888,25.7870619579479,28.451914212170898,30.170628173235038,36.36181426623213,34.63400500772721,32.93311197002902,37.04200265431666,38.5046185553228,41.02641061050633,42.56867033272275,45.97186708052472,43.279250809522665,41.690614228873656,46.794843070648504,47.285959318139156,47.25014031158631,47.017541669766956,41.47804723727478,44.23696861101263,45.64755716841165,41.61405101079802,39.70909409759342,44.01163378677974,44.844494518506075,40.602012751097384,39.89132077298843,36.86117567934629,38.646500056378265,37.64981466376678,33.79000939688676,30.31462775368518,26.36623449101822,24.14306626157217,20.050354920335547,20.215654148931005,21.454147415201117,22.160251953038337,26.8116792770721,25.211973847703675,30.598944447313528,31.350041678748667,32.84741321070808,33.46104177490634,36.27500137679984,34.70687238160355,36.42331446403968,34.282377558843734,36.99769003558783,35.13341966911927,31.504389185380166,31.938431238892154,30.767855359967896,29.688735644165625,30.09145569207687,27.07746003200409,28.25595951312399,24.327555111116276,21.89443213082093,17.85061279646615,16.171232867229733,12.624465955001739,16.618978253525864,15.389488142599495,17.55452126222695,20.88380236467502,23.093443894322753,25.406824270570894,26.64209097550243,31.89851008032667,29.364425255084203,33.19105380404441,34.714445849938215,32.10706457465077,29.40450625487307,25.855496139055948,24.30593517422248,19.751619089799668,21.083831680761996,17.8038899346808,20.26299147643501,20.969910241361106,23.99236392461732,24.621565656707926,20.733354980577477,18.90463309673225,16.389705810590012,18.90575532140851,17.858047049559428,16.944960402564867,22.06244695342124,22.208826079593365,25.689460966711877,28.864097966653834,31.38792236106366,34.26381031394741,37.57926708613702,38.200002265073486,36.43477054329239,34.41304780242895,30.09162563728013,31.389771864170537,28.585786318411103,26.952442271168927,27.177942713890488,29.46256494778256,32.34510732215891,28.50767106747748,26.913489352278308,28.697070974210423,25.091322018428087,23.491800576796837,21.076964624254455,21.769082828618465,18.102476724129556,20.340235228522413,16.50061501877101,20.39546000108254,17.62209780963179,15.830956920568731,18.4547131401811,17.360105836755316,21.024648050382304,20.716224540196432,24.571479887532558,26.50020429226319,26.528238016779824,28.086904372252963,31.353599813748506,34.64157693228125,35.04233823911512,37.60935576560474,40.726847168258026,39.20110393853267,35.37321042354437,34.68366191526236,31.431132842810136,32.67149193743355,31.809933922679466,30.597692780369158,30.161288268121552,26.549043899560104,31.415716702439486,32.88581661347807,34.626756763034,35.244547790743965,32.44344794002017,38.04787365854545,41.12074444179503,38.61146767061551,39.9947735678303,37.74116461941112,43.01546719324472,41.21261999298522,44.11925030419453,45.05275160958201,42.3881703911281,43.027252781828324,41.53967460132672,42.2732029571703,43.57199537802369,39.41845702694185,40.491086213031004,39.00262590601148,35.68720061172972,39.0829841517025,35.76820279600058,32.796500302408376,36.24176260547567,37.54292982699354,32.84409705173152,33.22964344723901,36.748461356515314,35.77315760893109,31.43273305953463,34.10752023763978,35.98501236523745,31.777120028667436,31.574308527203844,36.05930283059197,37.14361119345223,40.36914304290663,43.09293890016228,41.62634976168657,43.82518129873991,48.2308502361428,50.50702928849191,52.80598402952584,52.16824376336418,49.93660033687485,51.02369099850193,47.41337457866357,51.90527475436716,52.514023324479176,46.628738363486605,47.981918280779226,52.626209673946704,49.82339565143732,46.719775139064325,49.26358324182315,51.4757208136506,47.87536243973809,45.19450396589675,42.2445066975012,41.27532331974613,43.94267674510384,42.8037048356473,42.60515622915916,44.33730530598997,40.254374123911425,38.718829868335455,40.740945030384765,38.71335667553155,34.60393337085783,36.101708015130626,36.56169053600625,33.67215598219517,33.28140620534389,38.06757932308179,36.93212547543521,33.14403216711561,36.92320545349696,40.603881784124496,40.95890019489776,42.95637815118476,41.48183990473811,45.82238720126366,45.738274669382314,40.90044453208306,43.96639207306582,46.89362368368038,44.476744218127905,42.90294971850053,48.8365185357094,49.18926480673678,44.41154067030015,45.9725779514393,51.154448997863106,50.23765968793712,46.75635531018272,42.44986599279539,47.20492987276401,43.592155143533645,43.880061334871144,38.61918357699101,36.94823279991095,32.04067803485018,33.86152976582377,34.99637203293253,38.48117273491859,37.77694811616496,37.730880996089745,32.46147320753918,33.45002255038195,28.453262969293217,27.940161895047297,28.37963502228051,30.206894875424307,26.87551202645963,24.703992922812848,27.271329850440654,26.19894232111157,20.969497067657738,22.598964211135318,25.694426794585958,23.65227710066843,20.72772587501063,20.819008937740065,20.887294177128894],[24.352906099054042,24.807920328392335,26.132768103495398,22.767640314693008,24.941289294565316,19.27822066688696,18.127148293010425,18.055249651022525,13.332238080051654,13.786901602364663,12.123002979649574,14.048806687394679,17.209211334088707,14.099622245888117,16.343688413376064,19.339770183699972,20.591879141781504,23.652149210465925,26.87988784685373,29.93467876961265,33.14033737668813,37.43407264935418,38.15974457288615,38.830736583642796,36.136583701061554,31.84314493292553,30.731476560760747,26.588935661852787,25.401791728743294,24.18089794943743,23.378682976077773,24.177762319077758,25.520116214357618,29.240440803562404,29.040851126879815,28.500288784140544,28.887451829268556,31.191335312603073,32.71485121397507,39.009507538319056,36.90275420938838,35.358278366522086,39.57238994299109,40.795552948895384,43.15545516000959,44.47973873018349,48.01937411645639,45.55086771847824,43.74302645356305,48.839593591746194,49.61833000105292,49.64453551952559,49.59520263512317,44.038161952313196,47.034743945939084,48.40985617501198,44.271671252270856,42.602076265221505,46.915931484469446,47.50286720665066,43.238108533408585,42.673071795144274,39.76123048660487,41.30839472380847,40.20952047266392,36.495957467347374,32.75023504237275,28.99034035932739,26.35106283824209,22.442711093185114,22.182744231714956,23.170405685346356,24.426720997167514,29.113082157439592,27.943297203156252,33.41385428264606,34.26650808626886,35.954810128310704,36.57583271229536,39.32211780728661,37.85665366236557,39.41766099509245,37.356320130912486,39.879283587473374,37.83360758140627,34.38191674320442,34.83834696456179,33.93230060559479,32.705550976159756,33.33857380331325,30.190091145164786,31.281156082723587,27.415906040212192,25.151205982989612,21.11665259479299,19.383184549742143,15.852428544730753,20.05761713918092,18.77529496577322,20.75540206546228,24.20085085826707,26.092407836552855,28.49930676431367,29.377379964503483,34.50063685511785,31.644815867692504,35.37385035657485,36.61081233044105,33.70318805511402,31.293629552181933,27.43697857762169,26.17958522140486,21.512663656632625,22.756535700436658,19.691610838362248,21.763903267350376,22.771807096178616,25.352625107693672,26.23558012762917,22.748377993118726,20.50660685441394,17.977924854325348,19.84450160412846,18.89982510104614,17.97492060865775,23.189044147017324,23.333143840346768,27.055387992207834,30.27796229875913,33.22162627318204,35.63888272775308,39.18210099031363,39.854838669534615,38.44344308020694,36.07331834217917,31.714945168720615,32.43327952916054,29.715454645354182,27.907951677093187,28.545771215138362,30.54721233382105,33.78585477098719,30.1184839108763,28.61929887296577,30.74880942376384,27.40648443225385,25.585689445856154,23.453160834934266,24.12011921680528,20.382131103710375,22.57811871765902,18.868220959951294,22.864157625751538,19.769679373173503,18.593094385163212,21.38606010932049,20.321561924420763,23.746102944858084,23.621260344905195,27.074494570775045,28.75172349349558,29.06947917285038,30.089339347785987,33.62772990153807,36.57766872424015,36.49929884558129,39.178790565236646,42.04848500212821,40.3467372710793,36.479037973136464,36.02502260562561,32.938726751992625,34.63514879817575,34.07510399988663,33.14754799402559,32.908826168776486,29.465508979199956,34.45410650693382,35.71527964153263,37.39406766591748,37.68365102830088,34.79365454382928,40.29729842359319,43.29644700323096,40.71063310294991,42.31274459471704,40.124203558581456,45.363224091981465,43.22649599316116,46.119315922203135,46.86500611739584,44.28621393395866,44.71577465716769,43.13993756218736,43.828036626122746,44.94560775553774,40.615595933791944,41.724574727624834,39.95979406091915,36.86795307259865,40.09555345359991,36.928933229741176,33.8224916840375,36.87841873976501,38.249588406544675,33.48274640837828,33.413807563682184,36.9579966236564,36.16993337573454,31.45379263842373,33.86863055198948,35.78619101689408,31.569456434426147,30.925672864780896,35.3617356449204,36.56550828443704,39.88874971923309,42.625644463929255,41.466503871083255,43.707206428701156,48.30947072194223,50.53939862276206,53.047651379107265,52.705643354105206,50.653543478699625,51.99516877750906,48.5918511176645,53.12249963846434,53.44177609552799,47.52789165224168,49.169876100020275,53.67532783710286,50.637471193446075,47.69261237725463,50.42325875013062,52.27807188488292,48.521186344823846,46.19282852457491,43.100963239263706,42.62938449528429,45.32619299039795,44.067519664836496,44.15910414531835,45.85786154064988,41.98960964557887,40.188735341705176,41.986484185892316,40.18987040184743,36.040913700096695,37.12416502045807,37.55576933501193,34.63002241617566,33.9271052080709,38.67393445998323,37.48441070954107,33.42723718261946,37.06962231048135,40.83436107482639,41.209487108897065,43.502816766657794,42.282274399946985,46.6234185346362,46.169007792926486,41.300453803072806,44.65899316492403,47.32029762958033,44.710657750807954,43.359901126532236,49.34446792159492,49.33527148038618,44.51438405832193,46.37911725134636,51.45047173674517,50.21799175450063,46.687893105102454,42.226441259435695,46.7993509767094,42.96430908453572,43.230598365545525,37.93502739167923,36.6171470602731,31.621603909580607,33.145601221319865,34.57514257884328,38.083637031524525,37.71969996752133,37.95325574759187,32.887378085981354,34.31334581887457,29.33488674186155,28.556341764730192,29.58230647701236,31.326794063802065,28.327592287370894,25.751250516067497,27.85744641884681,27.00618510021059,22.018492643262444,22.841333289814923,25.835852123068108,24.06584102984528,21.349713926061703,21.845087892149145,22.187956346080835],[19.94675211305291,20.64937083772069,22.124749110999637,19.64787582511507,22.170375705053406,15.980159721835353,15.644425700987433,15.41779328049947,11.29778678087692,13.4308155032025,12.540597111033144,13.698653763581216,17.442795650020724,15.353844449803415,18.080222226177494,20.54178859854331,21.91006087517285,25.60118986978718,29.262532202816246,31.839529136686664,35.40205870620926,39.46122028610261,40.46323133674341,41.02149134074996,38.00949724309162,33.864501242964536,32.2067771099064,27.90845246849947,26.686775211766236,24.96872782257717,25.23484013715114,24.89814590892632,26.545560311690643,30.72981649750148,30.185530646264933,29.897931366147258,29.478692457584494,32.18829421618021,33.472729964539134,39.58801248880869,37.82190343590784,36.81699181998048,41.00185558966661,42.061852612225415,44.71971561338878,45.89800135689309,49.46942847608316,46.80870130650294,44.67267380479245,49.722022144755286,50.46341512556721,50.25190633372051,50.33382309447789,44.67925152118289,47.55904742345063,49.433752476699155,45.45098328971249,43.7954985836991,48.24378548465793,48.96909622992983,45.0477589894192,44.732555660006156,41.82658482679628,43.82169199115549,42.519201287706416,38.53585962752801,35.37574564113675,31.443045202029943,29.270572576211947,25.40901006035276,25.454330382277874,26.958560478755267,27.866711029936667,32.38423204460879,30.696514351569444,36.21987681382828,36.53683955735681,38.06514994354768,38.30137984415662,40.81088995349227,38.78704043647765,40.023495423631026,37.414177688918144,39.744474532958954,37.897779346160576,34.70012526709646,35.8055599927546,34.66625614921459,34.22813352614178,34.91971681367546,32.257240296539806,33.82157532348705,29.857910243569385,27.169484315555984,22.970095559684005,21.641696360687718,17.950194430857625,20.972405958674855,18.85392773862958,19.70634361474596,23.807985499162886,24.549628037824686,27.68428935845556,27.678137637262576,32.882149261752616,29.624765905733057,32.95285621119862,34.13457592319288,30.921387297777933,28.596621037122432,24.693684615459976,24.279519330066833,19.721656876751243,21.766042143512816,19.69924069777023,22.12126745222492,23.83992280104152,26.620505473441824,28.417736773606475,24.780123366778753,22.59227138852479,19.54392166452421,20.867330118492646,19.095001162971606,17.160151980207512,22.056800215165676,20.989789983005636,25.08351541463411,27.99151279354707,31.189011700752598,33.40739222951641,36.84048474993927,38.014158836823604,36.65101313299802,34.53595714685982,30.3516077963018,30.72273506581029,28.69036073674874,27.44226430217749,28.45473284726489,31.160112573352198,34.73556699386156,31.275376517425514,29.27967035764466,31.461548077039293,28.00283716562058,25.865853204317318,23.27888112421871,23.180556429979358,19.015924112615412,20.3446139729437,16.458882354282697,20.153286174480776,16.60590706442913,16.511172465184508,19.618472848429164,19.095187621116533,22.013576046164562,22.861608169822997,25.63579725397481,27.890653325155547,29.020345196311467,30.01336739928223,33.691107007124636,36.34026036562048,36.292272372501614,38.48336262317533,41.41898665986559,39.303117540019166,35.66749324968748,34.982301469957775,32.21009636056771,33.951378938427425,33.38065557877897,32.60949588139676,32.073873475701376,29.101075682933455,33.868512692986705,35.35818197206197,36.60613452813633,37.0196436906644,33.4739881928729,39.00327386912551,42.131880695872724,39.795891983391954,41.98777616731216,40.28221518857383,45.47945217561333,43.636891505031855,46.04011141871304,46.537637279133314,43.71076233340594,43.7073328078996,41.795567755602974,42.14036985879276,42.90353908726445,38.43926053516335,39.153690950873944,37.050490974298846,33.84977228853241,36.66044798526873,33.355141425344904,30.420991127092698,33.31471283399248,34.34994687673783,29.5249998923765,29.728716777717587,32.96032060846092,31.840320559627052,27.235693613284376,29.689705377488806,31.349314798540025,27.02523562234698,26.65862162450096,31.01983968418595,32.42111130588556,35.47372861662454,38.68706097009259,37.391393624338434,39.40426833276502,44.085910640971676,46.10965534597514,48.79599607803367,48.43078973073969,46.553315471415694,47.99218635632815,44.762503409612144,49.41868660426656,49.6205641452629,43.84334422960829,45.68532202866092,50.230689472578824,47.19080215498143,44.425390025200834,47.38608139608222,49.171403164157184,45.38582623221949,43.46218183844286,39.957019886934106,39.632221617939116,42.10580728832163,40.467242753178965,40.619543373588364,42.036585652051166,38.40518190051535,36.5876239931682,37.95878763894273,36.19950211467032,32.179200826453226,33.0151555096273,33.19719325723144,30.213792186051386,29.503364940076708,34.13939760793663,32.81351173332492,28.698116009599527,32.40592178873594,36.13754834418766,36.65662702560585,39.042375892366444,38.034228221205595,42.415199971627075,41.79943802402208,37.099805303416524,40.651318354031574,43.23459946824866,40.6363710036052,39.5958265063495,45.53798629350623,45.479330530230115,40.853438453907174,42.94049534232147,47.8867369943436,46.65089418029811,43.267898189726445,38.85209118717451,43.51679394400964,39.794993123756996,39.63625177340873,34.47328934919171,32.93714519196996,27.89182737744593,29.827476238257823,31.401378471348885,35.07237098420579,34.79561374458525,34.69371621013515,29.828625976558083,31.36099336416799,26.600179792570472,25.100906002130337,26.075533366855083,27.443804693224315,24.598737622004247,22.09349887146423,23.690084642986253,22.64000131760463,18.046599546953544,18.65656430631327,21.199687752344452,19.358317440671655,16.76741689351575,17.496542689564162,18.092181872830885],[22.094712470918065,23.415244784465774,25.19948590952997,23.572864110218834,26.311659055436426,19.84978660705685,19.803214941377835,18.937937429951965,15.167196645732616,17.510254089917762,16.015676705526197,16.309593358270625,20.886343892600063,19.089400206986262,20.9335591485588,23.42881280066126,25.46924805836079,28.854107533355577,32.72005345603773,35.25401004340334,38.79788878130539,42.86073549071035,43.95539141898522,44.76477006763097,41.82998172500275,37.680640475866795,36.085079114781166,31.797846015278264,30.161246251849423,28.112183043557202,27.632220518113687,27.238380745343765,28.19841273649667,32.462378225558204,32.47868127189107,32.6912112204665,32.33189012093079,35.58893571980941,37.15707427645234,43.17035376439032,41.760656105274904,40.46383013952537,44.5413442412707,45.90314270676716,48.61277317548708,50.0026582696508,53.466091613988496,50.6727728454341,48.7928421865568,53.857690123652205,54.36017269538859,54.116465086936145,53.97468635072758,48.35697010916341,50.919751024253955,52.77199765918229,48.9017731733108,46.8855795386484,51.25593123176826,52.31480945131798,48.282896472538134,47.57895428351919,44.433789159942236,46.510317011154164,45.561151624737086,41.54527339096522,38.35272677648929,34.298869388789186,32.28216038651802,28.148494700675162,28.37854922091481,29.48033204871868,30.16486080469642,34.85938053683368,33.03817135197389,38.17098867683214,38.95039845132161,40.042708700054725,40.65094365818706,43.47690767636507,41.43339265602143,43.06393992651183,40.29113313296749,42.96577619063688,41.420838605835,37.96901175862164,38.96392567987236,37.33161404517604,36.97407441036674,36.94750873599887,34.33319152612545,35.42835345643216,31.392760389137933,28.57131754424082,24.816221376566926,22.90274177303532,19.826560940433613,22.598672267062376,20.684701458336004,20.78184425920618,25.724802682585807,26.59640420637176,30.1971472449076,30.416801805233003,35.96972640069163,32.9315106220986,36.06832005190655,37.57098160046365,34.41268263560143,31.852492810089917,28.247263632902765,28.12139442789782,23.71149728675949,26.06763756234758,23.95178850902151,26.57892547818294,28.0476420199226,31.00326409870027,32.367655403611785,28.537591252821965,26.563249973493768,23.695171188854246,25.401034443262596,23.713650535872038,21.76986597094581,26.596020265730434,25.13018050683796,29.256661686351816,31.972361033967395,34.98985805467716,37.42736002811379,40.63617673643682,42.044349364691975,40.4153586677928,38.69210287131624,34.59190383028148,35.12597258707099,33.245044868708746,32.115604585161655,33.00918859914247,35.77357752368866,39.18436679401912,35.594568482163716,33.633612620323845,35.59710740302978,31.932695226184386,29.995638863482842,27.14873677757975,26.931604992147733,22.676858077125715,23.515485234295,19.0998327172408,21.916322627259078,17.37852072182536,17.528752360352478,21.318855791968225,21.58146781925152,24.70689008663306,25.851135293371357,28.987277120391486,31.775541978651784,32.73376189594146,34.22121323798238,37.687361168262974,40.5941022534228,40.817612460274354,42.90760889539498,45.9664073086176,43.844366856554664,40.26485280690002,39.450947933143105,36.65798076990215,38.12726067656949,37.29479647539725,36.24241614810159,35.335791073674386,32.22147976317885,36.655637201681856,38.63033246806256,39.85425903631468,40.75744251422187,37.09556698625774,42.75013907459561,46.00227352211746,43.81278222824224,45.91722470580132,44.18015860779193,49.40757461638484,47.84220848635919,50.261839568095546,50.87117023120189,47.9534489057371,48.00150584836887,46.04979240194292,46.29684773084682,47.00421628591456,42.56793106784196,43.03465966317214,40.833989562181635,37.44505791551153,39.94554416095844,36.389602731577014,33.76744999489059,36.66070823487914,37.24982184209493,32.41482871878909,33.07476394208793,35.894838903576165,34.19485922895738,29.92998648333105,32.38825291818588,33.57731347944051,29.08012635268051,29.105865471652415,33.224707180137656,35.01484933925998,37.60277992843681,41.55017549153728,40.16975946875228,41.81107022253075,46.60044530273204,48.21413227353618,51.21638981514356,50.718761587349256,49.06914704067789,50.493005722823405,47.37456749893655,52.17336983899481,52.4278679376976,46.87204421308424,48.761234301033596,53.429253244139815,50.51730857514006,47.86892284269137,50.92799626590579,52.80989342730136,49.06127948023681,47.33246115564194,43.581139621491765,43.10878075202067,45.3349859452483,43.3499270043839,43.267065655234354,44.225485689297265,40.687588533671715,39.25339398845273,40.136341923383256,38.05365017832465,34.42416234090315,35.322814517144884,34.90048802617244,31.780837248674704,31.495658010812754,35.81919889969717,34.02669280695237,30.002139341602064,34.02294768801374,37.56284029126899,38.51964135203257,40.96201038232938,40.24965191132781,44.692162825988895,43.98096712487267,39.646318517747204,43.359917411654884,45.917968672201624,43.39413758521023,42.72762606774682,48.57174093429782,48.5052983246031,44.13201831774685,46.40810485276035,51.22244098854955,49.983036681815754,46.75558627347772,42.383882881896696,47.04494954903056,43.35625543667409,42.80607249854299,37.80461977688805,36.20306986910187,31.14240136830814,33.32198476358716,35.109316236574635,38.87231207825275,38.72656976683976,38.389276652745444,33.69674668996741,35.178843018092834,30.59021547462922,28.634958539692736,29.196409905058665,30.09420091075214,27.08433014825621,25.185835848179558,26.338398879871047,24.644990156917256,20.675245838129563,21.531785408947766,23.062005061492034,20.64164042691421,18.212049952093196,18.646172320768976,19.060309679403787],[21.393591188050607,23.2416442956111,25.137351160305652,24.99892468170742,27.78061509234018,21.074760768425342,21.677823989294215,20.173484133124774,17.44243229654467,20.711303889160163,19.3868710279484,18.632713800490553,23.79265252908602,22.93577172220437,24.464768216433185,26.50752176702277,29.00508573642518,32.552456774844934,36.837434926312994,38.925259069157306,42.701750257800164,46.5366953440537,47.92531742401109,48.84019823030935,45.723244841230766,41.73338214539192,39.770337627850225,35.43810975612439,33.49307142311305,30.89811950496742,30.73785532211054,29.46097842570796,30.177697591684257,34.73204848077565,34.83638592089214,35.57578935152326,34.6479541064098,38.54075470394238,40.11747308447565,45.82192497222987,44.991047337993905,43.89420414127902,47.819109599545115,49.28397187724847,52.26115974515175,53.71295668997973,57.07907817974216,54.02442897601553,52.12497472032836,57.12519567805525,57.375581090233354,56.91688300257824,56.691891010276315,51.07873511704273,53.26918358188694,55.486539231580515,51.86627564668765,49.602682634229716,53.9825289854009,55.405377867122866,51.60562384043322,50.83054503647841,47.55171208254976,50.04544800019558,49.18316256470074,44.95417058560136,42.25727253438668,38.02675388308837,36.521301447399374,32.301908815346756,32.89117219698631,34.16292784608368,34.40189235043494,39.0112371813704,36.69469586839552,41.55783951946299,42.17134731223878,42.83001028354704,43.35463927924684,46.1652539263551,43.68357619138382,45.318650180947024,42.03852822882454,44.78346502849552,43.654720913853566,40.25719026355694,41.65460763196087,39.51200730502602,39.8418813710378,39.381149637355016,37.24491915885081,38.420983679211815,34.34329705229989,31.176587385855015,27.682918757914305,25.829480830202595,23.115611291533995,24.727035417816072,22.432108832773675,21.118509519250786,26.87201702693011,26.90045124251572,31.262407120386627,30.98516999460738,36.71375998772065,33.663144264718895,36.269543817608074,37.99743937010298,34.788267609578526,32.12415467055174,28.908531331918613,29.57986230327655,25.57035067083836,28.61306839708804,27.178019134542573,30.143772178965083,31.843652140852136,35.066121186434685,36.72811964685729,32.667221008648234,30.94025151408615,27.900003841549125,29.56281722769274,27.432727203952037,24.92507193751929,29.293199585659185,26.763428518773424,30.965971957028636,33.21060310865089,36.111242202415276,38.60650628006506,41.44222123806038,43.37396406974647,41.5376403746905,40.404340868414174,36.58816947014673,37.10557457122007,35.84684850382959,35.252282317283324,36.2197603294498,39.530569162799374,42.95793882409982,39.436557286073885,37.1596582957748,38.92544997725248,35.06877548211462,33.11687769392069,29.821754024072234,28.99224363473526,24.579763979426854,24.381771523125302,19.726593918775276,21.360209103710233,16.003885644286303,17.26381597657203,21.49863438056999,22.748853849091777,25.468614165628587,27.489682852791873,30.29466235567062,33.84280262952431,35.20822284484828,37.06512305682209,40.37773939524778,43.25443263569155,43.7843804758524,45.391681599746235,48.60583689220663,46.24000421232138,42.930664637562,41.813377741309374,39.24601938782997,40.43796522900209,39.37319144199563,38.215028776583104,36.81039884966331,34.017122092427705,37.91497962555346,40.395614165790036,41.254121633127596,42.638493905347055,38.4800507835017,44.15395032775347,47.56038385237112,45.71651376362758,48.13764032372807,46.7583135502077,51.919184698814405,50.85008536097685,52.8897264404807,53.42368597784395,50.26450714436878,50.06542867575269,47.873983599292316,47.79375563724074,48.22247693456398,43.816692219301636,43.775675032569424,41.35180009771026,37.74288594411086,39.66268995475745,35.83253748378555,33.703422095444836,36.505486373672504,36.431582316294616,31.68763463332812,33.0608023678255,35.21789032644382,32.74446984119258,29.112886453426665,31.624855463396347,32.16239611433198,27.564435189881674,28.33073877513023,32.07995696430901,34.25437401474677,36.141724538924215,40.98996089024441,39.342270407337544,40.45196219869946,45.24909868921188,46.35829275299911,49.65240247074222,48.93455872284767,47.57391565439308,48.97044157887649,46.063405896668094,51.008119022096594,51.289967427787985,46.09992326658912,48.07859981543378,52.857136940408296,50.14792411304016,47.72253176382132,50.947544587578015,52.92813850143746,49.27961704081588,47.938284246080194,43.77209371035781,43.17231147790666,44.98222588608803,42.48076570820601,42.18409786640253,42.5314681415831,39.27406563942137,38.23076605340633,38.40210326662689,36.059884034794976,32.95879721006595,33.793045818616704,32.663990096643175,29.4634831460706,29.64696102494403,33.513297391947226,31.25217401068227,27.44919636048172,31.75224600926151,34.99651103528989,36.42426957944961,38.84806584488437,38.490881591547684,42.94564392353271,42.15281345441432,38.34157389641635,42.185133467937625,44.70591904903018,42.35497336723814,42.175946776158035,47.80301546523469,47.81219829848245,43.87278041273666,46.337462897907606,50.922273024714414,49.798999769319074,46.86804260164359,42.68903841047481,47.41083898220047,43.972151698774724,42.80735676608074,38.145485781469105,36.22695940073099,31.286538962924478,34.01960090329722,35.92507592702678,39.78925992899514,39.69494441841445,38.836965962307396,34.48009116559997,35.84019663972884,31.674228675848514,28.962630248405432,28.970312959785932,29.164255790407342,26.178385262289936,25.030493448254948,25.47469441753766,23.06152476999061,20.149768376527806,21.217681897342295,21.418269411362225,18.429321925820094,16.38262722792445,16.59221111663602,16.99763177969866],[21.52196722636274,23.729430299182376,26.187306065427443,25.656507790246298,29.260681628121684,22.855033305688146,23.86175564011848,23.168874225901867,20.150895354107902,23.191847626412507,22.109779548310108,22.11212989278277,26.832809099913007,25.280279661075806,27.292492951547146,29.651101198435285,31.68457519943069,35.2185271297617,39.08844357093823,41.58858615213315,45.17850341330498,49.21340127260151,50.318123472651074,51.03984702789284,48.053905070710385,43.91646212455364,42.229643515214505,37.914044072266286,36.36290341572573,34.17561939607528,33.927669698067305,33.169665457771224,34.02860590664048,38.435878541161756,38.50415162325651,38.898779441316535,38.251459613129455,41.68282559877161,43.12932225019644,49.05097729355162,47.72064726178275,46.662378131595545,50.74193872006728,51.99419999620018,54.75863537722259,56.015424770724124,59.53763680707179,56.74772315965252,54.66563174260196,59.69413803089707,60.27139024442525,59.92748684897415,59.88042909904776,54.2328218917135,56.739254242911294,58.8159009888406,55.01435867233988,53.0000625992499,57.40029569997703,58.51782147188818,54.595193367560285,53.9282486765488,50.75344042287949,52.92035254879707,51.97323711419621,47.91378339117376,44.793855044291455,40.73007411085415,38.713995386137505,34.59439105001121,34.76855855625823,35.76483360831782,36.54794012480886,41.27330339513491,39.44374838409901,44.47693412189158,45.29218528043855,46.23107823331619,46.83785883749432,49.64809631154637,47.39666811089841,48.93999086220346,45.87892321523578,48.46654181019611,47.05558601525126,43.75806229265603,45.02756978835767,43.23902786235349,43.193937902548456,43.01538478119712,40.56675408025385,41.59961445761715,37.54621548066019,34.61257127977967,31.00639586890811,29.011575573127296,26.12738538736628,28.4799799295804,26.34540566737625,25.5361797921717,31.03104305912684,31.163235114083566,35.31894376444516,34.9337058053071,40.4796377476949,37.15440024996882,39.79514543709519,41.173863607426526,37.69528497415797,35.37793345603223,31.798004706103985,32.520103065866856,28.32664199716111,31.062486299769354,29.558562364153122,32.12742405273428,33.96369328905635,36.77321113597517,38.51004303427685,34.794124293369855,32.68924253901253,29.704119711250282,30.937589375844688,29.037571123584822,26.713517974210678,31.23833021661519,29.003558457310323,33.36379794392609,35.74998530138406,39.06768957084064,41.078316208539015,44.212894773513014,46.072438019769706,44.6406003633316,43.02829218878776,39.119558792594674,39.07845247911276,37.76899562613272,36.887448750378965,38.19439805301985,41.09795575848922,44.824503138767824,41.41727813200319,39.31730653408159,41.426865021640474,37.81919393305,35.700753854845416,32.76245721313115,32.135614928570114,27.73394580368717,27.86764142024445,23.47663125290204,25.563138620999,20.37781179603139,21.70473340245934,25.8066735732204,26.680648197785345,29.36920075035385,31.19353846192197,33.81481877130424,36.90735738751534,38.367443328991136,39.682009864871276,43.274440564384726,45.88010341289735,45.89334255274708,47.726652651444866,50.65800921341356,48.17810107605179,44.78120584403289,43.967960541833754,41.50794098988735,43.185743693287435,42.45097874555846,41.56153273956951,40.47483429909319,37.69303199483112,41.87964168906166,44.03949420427072,44.9650737311687,45.929510331074965,41.83554503622528,47.40877090321362,50.704182141282864,48.69903564387864,51.233395410902205,49.800973988039715,54.96452103862536,53.45569103697619,55.59238104934708,55.970242077639405,52.95257387079375,52.61187636181565,50.39144318229288,50.338511123762714,50.63470724302054,46.0560897043784,46.152404006850134,43.478404704314244,40.19198471263699,42.001483282744886,38.43358609672647,36.09068891037899,38.41252226221966,38.51752219551229,33.74897042862755,34.438025244272254,36.66658951323478,34.56126150790919,30.42773102797472,32.52767524737866,33.15166002674637,28.633413765675748,28.696994268064394,32.3141751641883,34.62879395908581,36.65888517790736,41.434882110138744,40.251815192863546,41.442834750059994,46.46697726075715,47.537763738599544,51.0729670463907,50.7794563374529,49.63675882611802,51.350235036901786,48.69692197548097,53.63088469170301,53.5504862090614,48.31594307053743,50.616138193073496,55.18098791087957,52.17512259734665,49.92565207605379,53.32360893082783,54.856967691259825,51.027786970833645,50.050719139973324,45.81571735693355,45.81287302285505,47.716489069699755,45.1823577156365,45.2626547684122,45.666481141981656,42.64804855372836,41.24309688949762,41.26023623743991,39.27124162100361,36.08395422673394,36.41276131038587,35.364864727914686,32.194930027513806,31.902166628134243,35.68856958499519,33.43825271806538,29.314506998527012,33.305034038357135,36.63572758280428,38.03881040755719,40.8409929874211,40.788599062088814,45.18965798504539,43.92234836093429,40.064546329875704,44.23083593544249,46.385334910735565,43.78489656672771,43.847040565205454,49.513639402022754,49.04331873424898,45.03983451942083,47.850331455616406,52.286513326437024,50.74930714434331,47.75041282829806,43.38921147753522,47.823197751972316,44.0989331909171,42.949779969649605,38.27306173235522,36.88059811838565,31.889248972616446,34.14324067695857,36.404902689248495,40.24176142001027,40.57296884863585,40.13007435125802,36.02679995871657,37.88918755725267,33.71661245697084,30.8873779579665,31.660856139230134,31.88945286333878,29.34650666116219,27.617586376770735,27.62370755417679,25.673026615109798,22.971032272431685,22.992219037101567,23.184902756494296,20.782916137439656,19.098257627091392,19.85360096687271,20.551120351936138],[23.355139566095698,25.884552599095272,28.359355013381485,28.72632913626687,32.24576770654447,25.754675456937502,26.964163289800638,25.809066449594877,23.265536623987565,26.603221286750948,25.39092038450874,24.793724467770975,29.89987222814811,28.802159264351545,30.41555396090015,32.58375961328351,35.008713447976795,38.5006531791022,42.626371374283956,44.9031620680027,48.59132467275795,52.51515133409784,53.797548264212985,54.66770624559024,51.62188511928238,47.55597763371465,45.72316835489525,41.3931074629196,39.560112244645964,37.04342728237673,36.68530115934671,35.55059527334541,36.07146711924881,40.57679441760102,40.87271143999185,41.66025756719771,40.7997636830967,44.67685771439589,46.2312557185726,51.966688344104476,51.03304690834482,49.94840779555855,53.91216602049515,55.32965438978161,58.23804058900348,59.614141634762476,63.04485463682002,60.077290501059935,58.09597001607417,63.10384055687148,63.4601557008603,63.00623052006229,62.82564541612119,57.204545888421265,59.41317295302141,61.639076979594435,58.00069643610323,55.740954831486505,60.10448417518067,61.514328379975886,57.66327254625105,56.819399617577254,53.50487632242743,55.891004320319894,55.11450335079246,50.95163285970094,48.060400805341494,43.880016091967384,42.161640266225994,37.92376789455666,38.33093923315167,39.29684646106852,39.779922228628166,44.501340845177445,42.398520016287186,47.15312846399686,48.04320639701575,48.628246282704076,49.324262734996935,52.229739715107705,49.78734041063889,51.473673448242735,48.15050493926586,50.88870370726397,49.778201327466704,46.41666503345429,47.80874759717604,45.63008122157385,45.91046864686596,45.29079505470635,43.0881326454056,43.99534880189516,39.93269744183144,36.83398845895356,33.521874784739616,31.40841668012958,28.892103903471135,30.665511211191966,28.491306244977174,26.929840594518154,32.87634065721251,32.72755216094267,37.276373318130105,36.79498943711172,42.48023305744229,39.2843070962631,41.61730904144631,43.2158029478526,39.79722662442963,37.35632340661769,34.10963121554785,35.19691653996432,31.24664728491688,34.31632908451485,33.026132109643356,35.8159544542222,37.63638587767691,40.648268881829765,42.34665061741438,38.443462737181605,36.53249537100155,33.52820786657901,34.92448300944489,32.87259073068355,30.350398113052808,34.679710597747665,31.95296756979201,36.28865143568841,38.40666147403613,41.54853140004914,43.689540129199564,46.54669601971938,48.69347405738718,47.05536752066371,45.86448183311311,42.11828101631093,42.18878565398226,41.16514793856983,40.54668320300971,41.79622819718871,44.96325744986217,48.60754056785732,45.16611159607679,42.942346038241624,44.87059344480572,41.102497798755294,39.06438196018371,35.86014830427156,34.97168299545544,30.52934544537474,30.135834911899728,25.582814596602656,26.86619511891509,21.274485022217053,23.020799069047825,27.34637045469372,28.820892225412898,31.382163307935855,33.59860925162463,36.20697790989055,39.76736001588949,41.300089479362484,42.964028797224685,46.39311425788406,49.09977515836568,49.376995867135015,50.96555014740757,54.025403611646915,51.46581279672416,48.208103048494394,47.20425965746215,44.814589713061466,46.24072173152771,45.29838841118174,44.25060945450928,42.82608619760529,40.135797127281734,43.94551092339481,46.484224766335814,47.24830385244124,48.60638060203168,44.29634729535249,49.899387674228294,53.29605198020025,51.50233672946025,54.11195253045098,52.81548294220015,57.956026023896385,56.78676300949539,58.76752511459405,59.17023563810047,56.01453381316783,55.60902564241971,53.28785333765985,53.067209399993644,53.24170715924061,48.72471025773931,48.51216900426265,45.753559726070094,42.31222307048154,43.7536611875354,40.00240616358198,38.0307985856105,40.321065069063856,39.95703061993598,35.310634782357674,36.5100980768431,38.256249973217244,35.59358847078311,32.00432810664043,34.10766761603317,34.225605722242996,29.709639274100855,30.308786844911154,33.568056840610176,36.159191706118364,37.61926355990202,43.04547837327702,41.69139507567872,42.459734843264584,47.45218931417605,48.09614103030411,51.854833599484834,51.381678323400735,50.471652098764245,52.131182463449434,49.63490155504476,54.64734285607849,54.62281353316601,49.69503017541499,52.011866382852574,56.65317442232436,53.83140825410404,51.73103339468441,55.20085477199406,56.83956268314127,53.10798137255136,52.347158164612516,47.88211752168141,47.72208883635001,49.32939437644355,46.46257234819285,46.3310402048915,46.2655656581008,43.44136648301673,42.40157714498901,41.912713993500795,39.68971308221322,36.96447587750186,37.309004410460666,35.70663111993768,32.52027221054364,32.64751370730982,35.9984060752754,33.36927783401659,29.522884050171495,33.68293443433643,36.70349431857291,38.501703959912355,41.25315533637679,41.4803139286732,45.8509760787521,44.545224548298926,41.14376379348819,45.356686528113386,47.47919219541867,45.036086940395826,45.45064129759024,50.9176544868805,50.515044705832445,46.854246544832584,49.76766409313112,54.022271193258085,52.57920622075981,49.80632306704724,45.604566899706704,50.04462617250498,46.50246576962367,44.94021803041177,40.53884412763718,38.96091559201226,34.10813943821308,36.68470670983396,39.00503834210649,42.873964258820486,43.230060403279076,42.45183459907802,38.5702059749904,40.29590830952636,36.3922274151187,33.17573161981174,33.50628459787613,33.26981272833203,30.71249503619916,29.581051493010737,29.183460293900428,26.72972311550507,24.771482393806917,25.04256072666289,24.30874515634205,21.533811160467398,20.189189553388303,20.68063605972924,21.21982659350703],[24.635761040214604,27.528257377591167,30.405215036748565,30.90453475617389,34.984155844221966,28.78707646545237,30.405171035888827,29.677652733123914,27.185965132021707,30.532799929311558,29.52401559216082,29.221018897701455,34.13734232141952,32.773850619891626,34.66079218279651,36.94337986641892,39.133875901655465,42.6602698389971,46.58056181206159,49.047415046663644,52.653755170447624,56.66863486134472,57.806353349968816,58.547624547490564,55.55772700797101,51.42867123132631,49.70820826963197,45.38329355693639,43.77131008094192,41.42182398867015,41.09822880698484,40.12101713501746,40.705361460943,45.17423956945003,45.45033370462383,46.10574552665544,45.304741873899026,48.99126446934317,50.44310790279534,56.25853933621982,55.0940456083541,54.100885795173426,58.14274537585367,59.416882714034266,62.231180384841416,63.46449984421835,66.98947210208537,64.16284939555564,62.026827165920096,67.03133509686167,67.58150236444935,67.15838596883245,67.10152671192502,61.455475986697294,63.81284157236688,66.03320208711754,62.321610763010376,60.192984008946624,64.57787140981398,65.84692278478263,61.96572560784443,61.193714925414575,57.927541594316345,60.17427540189209,59.34811008302251,55.25822006321624,52.177599780664885,48.08124604901039,46.11301444201087,41.93721991639061,42.12482878313997,42.93553018161669,43.713958798515606,48.48940337504126,46.627152321073524,51.447529429879836,52.435368665272556,53.12735719109373,53.854552723949496,56.74856766286252,54.36227289469123,55.97044821250414,52.67894461300322,55.306178329161966,54.088786633861126,50.82653448942207,52.2326433267296,50.19656177891535,50.3757050331128,49.87113951290281,47.55844505250013,48.39114122342332,44.339617072999154,41.33070352970042,37.98772100706768,35.809319183819724,33.23777695882666,35.266360473531265,33.10943682529517,31.610216093120734,37.52298608214302,37.2404852066726,41.80571623046886,41.112132229009745,46.67839414982057,43.279499139497894,45.48001887098634,46.854809236227545,43.23374337229513,41.05628067875064,37.66753716833989,38.989990169800194,35.034624066283705,38.027865995849766,36.86043446057021,39.434383912217235,41.40778532990585,44.17089230257631,46.00484075526376,42.30864325076089,40.18598604720822,37.18860141897803,38.25624883017008,36.27387404747318,33.7689195343918,38.05830683339499,35.30574560040987,39.73248189480302,41.81148436427913,45.22187856784293,46.982471299798476,49.94928904428467,52.18206093426828,50.81561791612079,49.4199178448175,45.70140094658731,45.331116342005444,44.4516003005036,43.76420491916594,45.286543300384416,48.27725567020724,52.146437744695746,48.82348601935161,46.65407880939689,48.788265609875474,45.16549014256357,43.00100245607671,39.955501778418764,39.06706039551694,34.614815879504164,34.22041826453195,29.83844809334898,31.175163219723437,25.619019387972312,27.607140537134285,31.894068618544498,33.30407540295722,35.73686605965235,38.00968200634581,40.38914919612944,43.78867444551052,45.49806116746255,46.84169049313156,50.43779942418714,52.91624478627364,52.87186346438296,54.49406889860457,57.36075310296983,54.645578562948344,51.413949663729326,50.56885329312641,48.33983897110101,50.06245835792185,49.31667158687766,48.45215894718989,47.14333936800152,44.55360511580458,48.44026256404464,50.86027937536653,51.57277222408977,52.729361940644374,48.342279095226026,53.8527143511081,57.19560732111717,55.37828571727434,58.166910797919584,56.93420529481735,62.05154139644029,60.67342898336789,62.61689845267945,62.867439046576386,59.7620562712589,59.16716186038409,56.75799936979751,56.46026072921902,56.43817724816632,51.81564685226639,51.559640598084385,48.5471296927234,45.334876964071356,46.4875501974991,42.91074541616915,40.94303436781961,42.77951923708476,42.35229743680699,37.79380763861704,38.6361717891811,40.185315763557924,37.62141602746358,33.90973174844981,35.62382849601063,35.572219792382526,31.221739283810702,31.460578502334737,34.352203997700144,37.154990467189116,38.4329226254594,44.042762148112494,43.0304960885649,43.65585658692473,48.78313420128233,49.18558929087265,53.23472905638004,53.07142987516602,52.47534193697265,54.38991189522187,52.214748230199476,57.223853193887166,56.89111732482482,52.09938101767732,54.7030537083515,59.16164544513644,56.174079701895586,54.319185150872826,57.968334268697255,59.24195375237623,55.41650885252322,55.103864638597585,50.48047202499229,50.78019061938315,52.31982032936288,49.2819888905345,49.40024539108684,49.181279323785674,46.680844916031596,45.47485987724091,44.629636055603385,42.65131927682748,40.06111982395893,39.96022901754293,38.21890161248844,35.09904889916371,34.97860906209318,38.023645068744976,35.29242009973599,31.354938498487364,35.22121085711262,38.13190589565927,40.0534622306057,43.08866793994011,43.71101988348098,47.97778224600465,46.236187689528386,43.038663054818144,47.520092992949806,49.27916820607736,46.70990306658203,47.505826881110465,52.86791940087805,52.070043021863654,48.554625144601715,51.804194023800015,55.80287397522675,54.04741567313704,51.352864275391724,47.11287286938099,51.26056235114651,47.60243711393153,45.84713003770757,41.63677916673903,40.43629955324079,35.68793563405714,37.98788568890099,40.608145624432765,44.423098768330284,45.155545876579126,44.56413798983561,41.05605945239287,43.1279375492659,39.39172171307099,35.91482098526182,36.67705330795827,36.26636953723873,34.10793780732258,32.760822023712244,31.83177064374505,29.595173386183493,28.13622500042522,27.687422978201166,26.572622566563926,24.211666910113504,23.314858083573327,24.119671914787418,24.85207128797869],[25.066533434602064,28.030815416631338,30.731764283290754,31.973908292625474,35.76606115077308,29.48956739034093,31.195362651219583,30.04214353127828,28.009676183896342,31.651236570301077,30.624990927719573,29.81686240744169,34.977482726284315,34.11438714124798,35.75629781967008,37.788562311967944,40.263620821077524,43.84316224869481,48.04389606397995,50.21678843165046,53.97151895397204,57.827531653788135,59.18241957142321,60.03018433436008,56.924902289330085,52.89861120841809,50.948628017782866,46.604358647870086,44.75946483214924,42.10032652537566,41.91484132679402,40.47648060779555,40.91755840708555,45.49857836131356,45.821959525797,46.780523748476234,45.68396766260715,49.7369245403681,51.22903296817905,56.832893442276834,56.06268018988953,55.13792613350011,59.06248839390963,60.44412906272038,63.43678517040577,64.76089142973446,68.19401992262947,65.17099628919482,63.08648776489889,68.0546838852851,68.38793984021405,67.83010336004556,67.67616868303169,62.05885474033561,64.14546405324165,66.56456285160914,63.02783555167678,60.72247335285956,65.08894277707007,66.60403690544572,62.869874382726955,62.034330620577,58.686291969339315,61.2062885813617,60.4451286939704,56.2218088429609,53.47623332079971,49.2589418037802,47.63930126917272,43.39814946524735,43.84748758968743,44.81981872462776,45.25709486969981,49.96446756741579,47.76567651611529,52.414905231306854,53.27694355781354,53.70402756969911,54.37177797534052,57.25099199038153,54.62470144254629,56.25718461115277,52.707176175639766,55.394280070377036,54.44723969378631,51.19284142620525,52.79122132495188,50.45064368708966,51.01601646319149,50.251409269366526,48.23237903751183,49.132574831898836,45.07707282397336,41.88794076075839,38.69849306651421,36.596082558130625,34.20914488889747,35.627036464131926,33.33218136458376,31.22444260112246,37.382641713703386,36.743604801700954,41.59823968452443,40.74076858497262,46.358011069543096,43.072693084603294,44.99701644365396,46.55502355706145,43.03184621963581,40.745549536616174,37.67869202061169,39.29399993304011,35.593279017133874,38.89418710776825,37.98768870007512,40.793528961545384,42.79993657234979,45.793217427618806,47.70940237773491,43.81234105349695,41.893643708992144,38.813442567333375,40.01252523435981,37.80910310252979,35.06975234035915,39.13324055958703,35.92439725503984,40.284699384627245,42.110218388408704,45.31293953654274,47.22410266304159,49.91004939040123,52.3812990801893,50.81241031698536,49.826430601919604,46.27852270667106,46.076082863314056,45.46508826963839,45.0763683780645,46.512364512583936,49.83708488155878,53.61310196796907,50.27770128598046,47.935245616195424,49.88298635206859,46.1171472906771,44.00717859882786,40.706438317389484,39.54310515087141,35.082571256722744,34.22158175521686,29.79115567256861,30.498657644131374,24.797157667330744,27.136401341805776,31.47268545994508,33.31921928143258,35.556533320141256,38.181473729930175,40.45302496346261,44.24862727646278,46.07474825328703,47.72041620833577,51.15470254416612,53.698584750767765,53.94373514233072,55.28971702849168,58.30424188701729,55.53118732524828,52.45109068512977,51.38652711391677,49.22445139161451,50.675870168732885,49.73806421023734,48.7545115233394,47.1573960725196,44.717804478276996,48.26205006987344,50.96960566031978,51.50235538507166,52.98322275252813,48.39967959504573,53.905701052046474,57.328843078931875,55.72243188055601,58.5987005617798,57.53620177971258,62.612014738581294,61.58964045369296,63.3351867737913,63.6015995530083,60.35487805530303,59.69911774273855,57.20369019813897,56.755157634059046,56.64735361861049,52.12127903196344,51.59306118199759,48.57542206509072,45.19960437506648,46.08887190456577,42.35098231238971,40.71120259219456,42.61117081952321,41.805228910343736,37.375655081504824,38.74270771297259,39.91667873643834,36.883881852362656,33.71550082957639,35.534518474134735,35.104679451728686,30.772041651427802,31.593496555341446,34.26423580093513,37.192189328725945,38.019409510508126,44.07918233805916,42.796989887198926,43.097703527788205,48.110023215655694,48.23380685549465,52.34182320668147,51.93510159162081,51.44689335051783,53.240803290259,51.1344925394079,56.17805678454177,55.96588912304671,51.42385614902695,53.959909047119424,58.50318535282002,55.72846004429933,53.95032609632742,57.60529538384639,59.05409377101336,55.35759226893261,55.12595238463992,50.359147170788596,50.42152423380877,51.71238802158415,48.45081721600605,48.353173082123504,47.791512670374466,45.41640162206191,44.5295806834934,43.35133188701581,41.17220901678525,38.94697875841965,38.935600009937,36.8062605820552,33.705696862191175,33.96789110793477,36.69428548943504,33.725607357905126,30.097688019832148,34.11548307115967,36.76397450589565,38.95073785884086,41.832933810259256,42.57539743992239,46.80579558923185,45.16454452748189,42.318029298323836,46.725670297842505,48.546331903911614,46.169736091621566,47.147989964267374,52.332052869339286,51.72277502630744,48.485389283476444,51.69914292398068,55.595402504245605,54.03753822465953,51.5376127622856,47.484659572470186,51.72329773533733,48.305451689364496,46.253264155869005,42.255768779500926,40.750027639743124,36.139742431303176,38.81711444115141,41.35186995409416,45.18787609866208,45.80263593583374,44.84587812862413,41.45380975925864,43.29983039606435,39.79500945450927,36.06982752060933,36.36261840290018,35.60946386583797,33.41474467297418,32.592758711143375,31.45674072230092,28.81748676306261,27.89196265350847,27.79120306816248,26.047725686455514,23.374621920043833,22.69966242921317,23.266544067008265,23.861437928288286],[22.83474726242511,25.9215731423129,28.581852107451656,30.570253072324,34.31577488012259,28.236225167588106,30.31824139960638,29.1459208958679,27.710829032646437,31.727548055971848,31.057503759536,30.064821144220495,35.12816944333028,34.65711840570137,36.51466932512277,38.28937650854156,40.676957609620494,44.4964181200882,48.82182161318382,50.753550984615906,54.6543044509906,58.36178283550063,59.841839435641376,60.595464319394,57.335689177609765,53.42147005343324,51.21590158853281,46.86223345272727,45.075433770541984,42.28296340438321,42.68540848662067,40.76904063407535,41.453642456802136,46.17307227022679,46.218636200485705,47.20604557547541,45.723682515481464,49.83529084108642,51.14970791309368,56.579674739462874,55.969381574648914,55.36814581457499,59.24849076918748,60.49303164252614,63.616602878647456,64.8316115029749,68.2623589176722,65.16665559898081,62.897246696159954,67.78579849512835,68.11509469049744,67.42574723975466,67.3748752030772,61.75899639977605,63.79353836337232,66.4791139063037,63.04959490853949,60.826241555285996,65.24096438829264,66.7716417772285,63.27414236386329,62.64668736346426,59.364739392822734,62.097877089571675,61.168170387868635,56.833063017310494,54.406750781274646,50.149703889134635,48.73135217807729,44.569453598804074,45.11909683819143,46.39842838820007,46.71977566845034,51.31573594832887,48.90165673155314,53.645910001847085,54.13441669583721,54.56627109356723,54.95108052167637,57.618722549690794,54.72248349081672,56.09458071368259,52.316803797861695,54.80362158600454,53.95455089170261,50.92800288511264,52.858192030044,50.500939529866365,51.454588432086844,50.857768860419924,49.09341567675442,50.32405260093016,46.258387098185004,42.92631229087417,39.61245561584872,37.822001782907115,35.279941770762335,36.241066575336,33.62730583567877,31.12028022654434,37.26757084819019,35.9870137156596,41.037599520673304,39.669491076140304,45.110361084930446,41.68134431889726,43.26472335433711,44.723538962104634,41.127627122679044,39.00268698606186,36.08193050797684,38.152530956757325,34.73790892666976,38.27395521700414,37.87597368981881,40.730405523318446,43.00045886244095,46.02027784893196,48.350833161494926,44.44446196924608,42.56109085369452,39.31696099626,40.26911133124405,37.7884677404072,34.74728707315763,38.43679968525677,34.73178716820595,39.05620564259104,40.593716820182856,43.81844995247402,45.534779269469716,48.05670808376991,50.778338808088364,49.28865393583635,48.48238681169216,45.15195068159786,44.76218537076995,44.56336620891026,44.48926423318351,46.06369954032296,49.672513370956324,53.547999041556636,50.37214583027047,47.82573656414948,49.769119383993285,46.03862030953915,43.818694347891224,40.41964967417847,38.926344186502014,34.48448844308335,33.18178745292523,28.996052986360166,29.36337213193123,23.805761524569657,26.724284839248575,30.903558312248546,32.92520496793921,34.73069133507349,37.75405907725726,39.53137248065871,43.4814654881149,45.69119709880637,47.24995334388332,50.68704261791174,52.99990434828418,53.25466770441512,54.29716111570245,57.29234998933197,54.340144608015706,51.46707059965938,50.291795081939206,48.36222953159251,49.80245563051054,48.894216181066135,48.04192957993336,46.34766973176332,44.25498596907389,47.60993815127856,50.33573395734266,50.60757916287488,52.087623862551034,47.244648462091675,52.611826370630425,56.032072155116424,54.60277219486072,57.774890211263035,57.00868449523156,61.981239349954585,61.121657782860446,62.561387726405925,62.674812474633654,59.33742732453809,58.43541540979504,55.788703226382715,55.139499540331784,54.81183440108697,50.3176843838358,49.539497987332815,46.38207793969551,43.039977041536524,43.57259783688421,39.856764584721596,38.44750149198319,40.133680727464714,39.05113982403551,34.77997568264034,36.35322121783297,37.162191577052916,33.89444555616535,31.060104023061953,32.80277708088409,32.06576145537397,27.83650017352759,28.971153372536303,31.361318280631565,34.40066242419565,34.87123349428801,41.241268480330795,39.858602217596044,39.91321596052375,44.871844246366564,44.7991205198497,48.98782881552189,48.5548126381408,48.22408711221432,50.06065329289409,48.14137859361062,53.18121430791875,52.88436885139898,48.548881889185054,51.17924303779723,55.662478386126715,52.94725788526634,51.33991380909,55.08076306926392,56.46018735090641,52.82495469150938,52.87494477726738,47.93947569807365,48.09774891032734,49.18550597352401,45.716535788117916,45.66792397461969,44.881754464264006,42.77953362156692,41.91466481871054,40.38693423306956,38.30349529955145,36.310720251856985,36.06968268866261,33.72496419568865,30.693629418704607,30.989004666353487,33.418721699992645,30.345980080105488,26.830294004474855,30.78068249396733,33.267928634444374,35.59177394779297,38.48642049419648,39.43205345362976,43.58402266176986,41.83524640534093,39.251714855310475,43.7004743383984,45.41167105457381,43.11498668466433,44.33754544855315,49.349005231925304,48.72939389496894,45.73988207676822,49.034116648773306,52.75025075851569,51.24108831538603,48.917884372930125,45.02260475728567,49.23185656542003,46.00998775242608,43.67021338533985,39.9231258635656,38.27492661129633,33.856335060042724,36.761344808790376,39.28782777604952,43.09651434764919,43.73559565832789,42.544492348800354,39.44923597776342,41.27738841918347,38.10387643318674,34.047567499087585,34.24681953191279,33.16846711430784,31.256983716105484,30.632132039993557,29.04088317942648,26.313556295275294,26.08345843152396,25.790292729411462,23.425328999134862,20.834938890506766,20.600390147668705,21.275162804519425,22.007094591985243],[20.051236836190665,23.07942776352413,25.924518388634876,27.246292576405217,31.282402165066255,25.24909376392459,27.35659835050931,26.65299951614946,24.890894139653373,28.77930719167704,28.295084446696517,27.794225249129564,32.55822857488751,31.70951630575577,33.96630185812834,35.90515749810492,37.93119232738673,41.82536075841487,45.91416405257025,48.05968987659162,51.87689560776673,55.69773336390289,57.001716369871986,57.598065536868795,54.38198450688629,50.39641884570212,48.31785570090032,43.96634970039416,42.46172061765397,39.95722131710098,40.49795725586124,38.88703188279456,39.8851903139431,44.554366690503514,44.39164720883419,45.02433625092374,43.708951128397054,47.42084773354226,48.61425501289786,54.23490215890591,53.23436193175064,52.69311931054686,56.69748686728515,57.76317519499585,60.752049985114475,61.82706894137633,65.36374681582997,62.44650097303551,60.04405195329172,64.95353770291273,65.52191238454262,64.93151590018357,65.03256177601871,59.37306211206322,61.71174674990137,64.27817518135639,60.680909328834815,58.70060334036429,63.16929670170499,64.41247934206072,60.84876065293449,60.39702574861409,57.24313986842177,59.768357434537734,58.672772216031504,54.42887084302947,51.77924259303695,47.627496478443625,45.92160353555945,41.86750526949988,42.193354781980005,43.4873909935312,44.10402618472393,48.71655128529482,46.558928209950786,51.57056723590219,51.998154612415675,52.75726114103574,53.06323397769318,55.647177267749875,52.90880596929108,54.13430368400989,50.57086145277074,52.90569611859581,51.76277080349044,48.810184085988375,50.6618070453626,48.66353718992911,49.33438599705933,49.14507107857079,47.149575449680825,48.49050171911854,44.414439060948894,41.2110431663516,37.62236406971913,35.917498680377435,33.048302561877435,34.49971264160409,31.874275969350848,29.947451329013475,35.80197921539773,34.70078100065676,39.47782642725183,38.1170669534181,43.45695289595489,39.82487078303766,41.671082059288096,42.886281086332154,39.14297097415692,37.17034365776837,33.87481183862749,35.73157054136119,32.08399933075646,35.37841012855168,34.881137186862304,37.52401049736538,39.878749794873926,42.6840218359865,45.12054441114593,41.40796951002145,39.320779399166156,36.06939211655113,36.78675100427289,34.402436009254785,31.46722579606601,35.29591706535176,31.915012651009075,36.336128953530036,38.10044030009629,41.58529113763869,43.10114457402366,45.922608547735145,48.42914154607146,47.183233380233816,45.94683535124161,42.46412297281987,41.85444364896703,41.46833270432022,41.17806931752553,42.88619214349918,46.267763977324,50.28329374890992,47.16936415446516,44.71590417771664,46.86636131026424,43.29429417042626,40.95862679150215,37.79188561165961,36.48226858964855,32.02652535592437,31.12275738048586,27.0505669303421,28.127940847201227,22.760917260651766,25.48306245989854,29.560074500935094,31.100454017926072,32.992684255581054,35.74990618107464,37.47925144838365,41.02779484779272,43.25351398383083,44.440654209085615,48.07405704471035,50.24260392557242,50.19149661012239,51.445780219112,54.293683461835606,51.35388967896377,48.3605706369136,47.378103782336446,45.42814050506963,47.16620347529989,46.48294131454206,45.813967409321855,44.42988605989305,42.278277585805455,46.00120719519919,48.38058005964945,48.780143629523415,49.86866916258629,45.1597459660175,50.51124611271435,53.84636613086343,52.217769115122366,55.3890179830603,54.526650735400736,59.52448846896583,58.31933352260534,59.88002240763698,59.93183092096277,56.71533454809394,55.81596337301335,53.22237208528407,52.698496610405265,52.43038343950296,47.820650835984665,47.30666487598494,44.13669804082132,40.95787828298511,41.778797607957756,38.23068919377744,36.44477014828159,38.07599132344319,37.42192443139187,32.97075937794719,33.996399585731076,35.242037217616875,32.49817106081391,29.00836223650147,30.700306358369037,30.42778867335692,26.10600738848588,26.641490118607255,29.38624081300393,32.266029928906086,33.305895331403704,39.16005975552051,38.00433754036449,38.46925801150945,43.56236061385415,43.8862561422715,47.95198321305646,47.767828791078806,47.25300909648168,49.21722831060048,47.181306840742984,52.18877150384564,51.76701333883866,47.10818281106152,49.809082176688634,54.21272677585322,51.25729309103352,49.54417511389644,53.281533007243304,54.48961229333633,50.712198444789585,50.65875693252599,45.86100764236764,46.27748696862021,47.648044102285155,44.43366467556548,44.65095937623537,44.30533854746789,42.042670654976426,40.76172555574826,39.65472810931779,37.83348409114911,35.35532724022975,34.99757504634768,33.16268505685501,30.091072909698372,29.891559450697027,32.78716620102913,30.04387738124256,26.090068677934767,29.9088329076434,32.78329968673373,34.7398946203924,37.800958311717835,38.54379868747187,42.7666988339505,40.94505512043223,37.8821008040385,42.40741862358542,44.09590906713998,41.57862261343256,42.544765555507986,47.79358351568676,47.01184412636842,43.675479126676485,46.98215164053267,50.85715950841907,49.172893521095425,46.61931144836286,42.51581557220066,46.70320873530432,43.24550982096866,41.228461375155966,37.20288902913447,35.78864898133687,31.17478657293763,33.77943745621563,36.3670833879698,40.18893898281201,40.902772305490394,40.04694922645304,36.79938402651477,38.86277924221296,35.453779157110596,31.603739562013327,32.324946307038616,31.626870864879447,29.783192509567186,28.526987065119236,27.132609157235805,24.86892679404686,24.048972050799634,23.316316539471355,21.643182984826282,19.40803805280066,18.916876476689943,19.960070140330874,20.94291552015402],[18.62912014390458,21.2249535023694,23.677880553512164,24.698120623209473,28.232414520705984,21.87385425574149,23.601296289357382,22.574567774718677,20.726329128353886,24.633292493780804,24.04725751471813,23.375357805880906,28.22881778079238,27.573729853777635,29.6981978018153,31.54338040119714,33.68646300162005,37.58021531096772,41.80282726854988,43.80879660005762,47.68212435937493,51.43951173343816,52.833223021954446,53.50900343022232,50.251957872257464,46.316043858951595,44.1567432166199,39.80091304291244,38.161554112043724,35.56295729338038,36.15158988989891,34.43462758528259,35.474014249702954,40.16400198033092,39.948342564739555,40.61663171000024,39.26383614423388,43.06062170331485,44.313953712163666,49.90324261999142,49.03126511773041,48.42695850588019,52.386879084943494,53.54220262588169,56.58867664142195,57.76293979426114,61.23493769722451,58.22903801086583,55.93763634254076,60.855549126595946,61.29862958780553,60.70690622917468,60.72747884931046,55.0781478861058,57.349649464406745,59.89512186999017,56.32817413105493,54.28334789426531,58.745146720905986,60.05637437977782,56.506395206975704,56.03528228499537,52.87100169198211,55.47776664813363,54.38477699748117,50.094813680754484,47.578939740803456,43.382277381477856,41.84965443629142,37.78240269845109,38.25424146965502,39.70058778134255,40.119457299727095,44.66653191363388,42.3476902420461,47.357925095969144,47.66310208179013,48.40234286204695,48.64787621512215,51.21197034048259,48.45090407403282,49.704619286220094,46.15053799454601,48.55047690988555,47.440871324855046,44.417105034158624,46.25026581075906,44.20480689136993,44.91987797295648,44.73330198980234,42.8006482421754,44.25174189944046,40.17694166682211,36.92742613230693,33.29964054352225,31.71625259309456,28.81033587945061,30.097975276901312,27.420609307848313,25.542080561945436,31.34926413982347,30.361034965434637,35.07988095360817,33.88761112521599,39.327958433642834,35.82766817259922,37.86417709213844,39.24674211470308,35.65596848813906,33.44953748054441,30.193336419103314,31.78963908494364,28.08689503733461,31.425398200872962,30.81236098265916,33.61764361945924,35.861879927951534,38.852658543009845,41.20031406107186,37.3455499354284,35.409670114821026,32.14574135101366,33.102903695927026,30.660257178850685,27.71103317363677,31.60754185496455,28.298271601091994,32.670261416780946,34.52746858362456,37.82030897517221,39.66896465387352,42.457795225938945,44.83756691588085,43.37935356156785,42.242654659339074,38.69125154475603,38.46106861988412,37.89242147296336,37.62294694284494,39.104162247520144,42.61114950481911,46.44962053838754,43.239362450527125,40.74952230392172,42.75404983178492,39.08133331671233,36.8299092837257,33.55668498092081,32.26863542028184,27.802757295061493,26.961595777606377,22.742982658485086,23.933405127816684,18.574453888877173,21.0945410574898,25.173078046566136,26.670799198254524,28.675836077638998,31.35296926049906,33.26337292687756,36.889609528296866,38.971527882259515,40.37515271231731,43.900865201930024,46.251314435724545,46.43857714916128,47.7094486965344,50.71384042096585,47.92390084418995,44.87243232035366,43.7784344481795,41.66574090088332,43.189705252585284,42.369253748422814,41.57033415505368,40.142491085416005,37.89301319306765,41.629652729981245,44.04358510507399,44.51357065989952,45.70472569887563,41.08411748393651,46.532277440136,49.90706623670867,48.25316851177071,51.26092105282456,50.31956047413864,55.34643948487222,54.25979693482078,55.885870370844714,56.06881216457201,52.82724325878989,52.10928879231863,49.60912425321821,49.18792538260572,49.126951752001496,44.5866606772446,44.176169372309694,41.250846575597166,37.8699588997459,39.05272170778375,35.354880684154345,33.471997563325836,35.562713822061625,35.07245572938867,30.47648650149248,31.74989362545076,33.30790397457093,30.580317949049384,27.06417814059059,29.160517162546665,29.18072744274649,24.667197105427217,25.447545056082365,28.660810874513935,31.265594955692,32.62716150113874,38.14827160534563,36.6985714211991,37.406644190534806,42.38481499057802,43.04402650661468,46.781230950919195,46.339190557554375,45.46562884062359,47.20060481320557,44.81108012091751,49.821749626356336,49.68220304257459,44.80793652749852,47.238780013454054,51.813203950162645,48.96699881114721,46.979763011293656,50.542680881333,52.07630583946662,48.355058583662824,47.82876163168947,43.214792780370495,43.22899660224252,44.73516188167315,41.743460318188035,41.76952327024706,41.675920447888004,39.04515982591497,37.83400396795421,37.182767009499386,35.164798955579826,32.42823196881641,32.503289430050884,30.924230655988897,27.76444113398805,27.71477317877993,31.045170231387406,28.482986620514996,24.533076333945388,28.634183990521766,31.705484427017897,33.4483383492638,36.247771302736446,36.53571844769739,40.88566978168618,39.495303383929595,36.113123408177174,40.38175871815458,42.43810896955587,39.99971283160757,40.51487368336881,45.92827027344665,45.50973275458317,41.94434161636982,44.91238687778735,49.08434910259212,47.67283400750932,44.98586627207839,40.87201329968188,45.344310151247655,41.948329730992384,40.21305569489723,35.93121234389061,34.19008082529988,29.42333164577236,32.2359098671289,34.52583786069509,38.40281780658359,38.75236372303598,37.78803460352049,34.1150930742312,35.885205542302586,32.24131472060155,28.68952974935708,29.08650893209531,28.651335028918265,26.399672325959415,25.21331948738023,24.415146275664664,22.01107896666216,20.518846016941133,20.444060565693007,19.34960004246595,16.712780442225096,15.651321923052713,16.46266125547985,17.376205651210487],[16.528243348662265,19.01159754723671,21.726164935176605,21.860775244333176,25.87416620459061,19.74706489562327,21.586516883282645,21.3492592267249,19.10894126912468,22.7822152236335,22.53773667946647,22.626400502017695,26.929654670103062,25.729066102015803,28.447924632570732,30.496182199342456,32.08564535371728,36.070590105109666,39.93164045549654,42.22394233666019,45.96961474028373,49.859245119019306,51.0151258586123,51.457422599170684,48.269266325827864,44.247343969545376,42.26009046333401,37.926113221065236,36.71131397153429,34.53195901748115,35.33149315995836,34.02598464830869,35.46334822537522,40.035415486434964,39.55044587787683,39.749835979045926,38.604183490626056,41.836286395725885,42.89689003080012,48.69627555061547,47.3067842897836,46.82375701463524,50.93405314117097,51.8242157998364,54.688938327270435,55.65033722889841,59.2653604582708,56.507774788579496,54.00744398563329,58.937472713505585,59.710030188719365,59.232745590493906,59.46682383264961,53.77981539431012,56.43303479200804,58.846583560146385,55.08788749624202,53.37812811717805,57.88822308197932,58.8236706695406,55.218476301261006,54.99221503273669,52.0078144879105,54.34242396121908,53.03105618771707,48.87660513848746,46.081392170848936,42.049797865733694,40.12344431178231,36.23615769247947,36.37819966751388,37.829416585610204,38.671047832604934,43.213716805645824,41.265453688109865,46.58405217024265,46.81685989657403,47.966754881770136,48.10571924622517,50.53896848292559,47.97885025828576,49.01463147438628,45.73416155932349,47.894355918634126,46.42213464654829,43.54713261844558,45.295530736002824,43.73086219768609,44.10061683698334,44.44177629693934,42.23803663887115,43.81236058681991,39.76319956191788,36.71660381398476,32.78127825762297,31.32986002917741,28.029771702451352,29.95711903125741,27.307266179343415,26.20116428349514,31.500853672310424,30.688093514848283,35.00088398359149,33.756110481194135,38.95823347354651,35.19463831928219,37.46949857563674,38.47850927093372,34.69892519600541,32.79038405467137,29.084878770964057,30.46148892462197,26.51665057484013,29.48653215451173,28.803070960349476,31.26044385531356,33.6582360419489,36.304401819386186,38.843466048447034,35.297414229149766,33.05847840734732,29.788161897783144,30.333898609790282,28.025559948408784,25.22364818550545,29.256535385028,26.38474285469105,30.85451522662392,32.96309684003071,36.61240816582087,38.09007157552767,41.2387505552698,43.37369683299537,42.294367435790235,40.60057907714324,36.90358396463331,36.28129625320967,35.53216023370422,34.98640642133295,36.70775772036764,39.89156984696964,43.95889229035054,40.87256416448456,38.50833644686202,40.81517571565052,37.39840614563337,34.97626520096206,32.061638049733695,31.007854341408265,26.584994459626866,26.267673479890416,22.366480943441445,24.433944876362904,19.58092073202855,21.795827076818732,25.581636640235725,26.417294355514098,28.43547032315528,30.75887188820162,32.49588902110258,35.54076535611393,37.69034319094497,38.533710513564436,42.32568030632262,44.41690605340489,44.1496652742675,45.66461547951952,48.431003263368765,45.61692332155788,42.44659430482548,41.62788284781341,39.551682062212954,41.51049388398134,41.0237488224814,40.50946499823556,39.4971218519689,37.24397730899858,41.39544210182354,43.34234072658453,43.93201593141322,44.59333278349119,40.13852245780605,45.491204432186606,48.727894467163566,46.85019295077765,49.90464918801878,48.88516219161075,53.913586761663744,52.3776183786513,54.11294732737545,54.172933300577995,51.09202760777117,50.31709598699912,47.86057721009411,47.562243060637755,47.51132790788084,42.83724042542249,42.724149520262465,39.73697503713317,36.648074600415484,38.07140277013557,34.67127363846171,32.37245520668061,34.24252453075185,34.24380822583933,29.544155744264724,30.038242799097446,32.04353032291949,30.005810874067315,25.762552073472236,27.654565467366197,28.180240686265854,23.72416392388999,23.66620468784234,27.147912399284355,29.560454565330705,31.50558790613354,36.40194394060637,35.310535200835965,36.43378979757277,41.53219580487059,42.560329738583874,46.192915871181725,46.10786564094896,45.12996317846428,47.05836851530318,44.66035799478147,49.58413737870943,49.22067925161462,44.07051621993766,46.63976196510911,51.0378251433776,47.897370575593726,45.87470308430076,49.46086981429546,50.68931361919838,46.805212114959815,46.287049127618424,41.822691973888816,42.2654197367502,44.05808600350718,41.33830086188446,41.73825249605797,42.087466262640014,39.41793370722095,37.70578262665834,37.42922211300088,35.813053248574434,32.6319020870762,32.43709058399246,31.424366977658348,28.326311956484087,27.642742127003057,31.319315770738186,29.15251331908554,24.824749898028905,28.565843798064797,31.950969971395878,33.29341224774903,36.30232399634853,36.47592721678783,40.80805235347136,39.23429963045962,35.42682451930688,39.79384805410588,41.69999049670111,39.01156566837631,39.331261601969366,44.92645377632106,44.22924449704712,40.34494706138168,43.38525224046058,47.63690462517805,45.96030403349766,43.05574935320266,38.72853647276327,43.073527745522185,39.406616210759914,38.011997499344574,33.489536371525155,32.13268834935613,27.22214336310544,29.562590364201096,31.96971259261509,35.816382759710635,36.33991190224554,35.830830702110504,32.10786761704593,34.23577901014071,30.393016872712344,27.077929445975133,28.239765629826024,28.22601333428577,26.23485811436685,24.231514317832083,23.559244230130854,21.883395148008695,19.84028178984465,18.979899519547832,18.756796673716064,16.84779001878058,15.668928077356863,17.020092872617585,18.240789827930556],[16.016781264307365,17.800231703337626,20.11216391379167,19.280408829304474,22.917070613265377,16.62692639824156,17.95416482615373,17.84677329573648,15.131913538453228,18.575306170767696,18.37243709474828,18.80086028274942,22.839636528735088,21.457898791003892,24.358166633576214,26.456287239695712,27.860029489244415,31.859248195182577,35.64658838147656,37.98193372531884,41.698916729852456,45.61168566273297,46.72136386367605,47.138172997523,43.96509554224658,39.931181380993365,37.98450471037541,33.65620357167655,32.52301848826317,30.501529230484287,31.38375646547347,30.27102279974022,31.928249380069296,36.410422327318045,35.76835315599737,35.747972506868344,34.733470723860755,37.73410739332901,38.780185936308065,44.67374893645432,43.12957227835564,42.59798562201221,46.74366963389657,47.6084037332397,50.422520214867745,51.39342595233025,55.01563967769932,52.300395576839044,49.83415763315772,54.7871558463915,55.596394383830706,55.18877406955184,55.434817906626066,49.74414698483997,52.52268486032189,54.81621687969975,50.98065131370179,49.36324543079526,53.88074529959603,54.69457647897577,51.047383003723226,50.894655580527676,47.98602437724182,50.23690666894132,48.840837249037676,44.7272115568804,41.88400718407662,37.899904638245474,35.91621057775065,32.1033265297349,32.20635754056865,33.784550208890685,34.65850970853796,39.13762977446151,37.252278321908804,42.70596157412516,42.826793981113354,44.16349649472438,44.224392177604464,46.59420939269508,44.154376140176936,45.14188652553024,42.05106414322755,44.17575193550492,42.54340120890471,39.64694553725854,41.28203234473495,39.92600322136308,40.10616244068565,40.70030114623763,38.39237400407295,40.09347289593604,36.07744860096788,33.12751908157107,29.021706574227206,27.74291020594965,24.21891272797014,26.39538403107476,23.78196190257361,23.267542590364044,28.14165572230469,27.649559818128516,31.601673155499967,30.591268239989212,35.75028642389836,32.03671607383214,34.656658365693666,35.649914445320036,31.97821074654018,29.98278467390823,26.105476826793527,26.986540419272988,22.822391610022382,25.565036365597674,24.619854173319293,27.04971368463585,29.371915097514854,32.02827547304825,34.51669486425339,30.984979045908364,28.732393914765826,25.460897293632154,26.081570765512343,23.82824236501837,21.15529728431493,25.410230175397253,22.984638319242546,27.420121845807717,29.79492101530458,33.397273748958945,35.04566598905541,38.342414771483746,40.17982234037338,39.0696507930199,37.177712151973246,33.31681395413459,32.92164926092092,31.819490814430466,31.096728461220735,32.67715681692694,35.776268595654976,39.759553920746676,36.61456974591355,34.30805170822096,36.625288672240636,33.233922718201015,30.826834659541586,28.019461985558273,27.18244411203172,22.79804640986242,22.9474225286874,19.103770997925047,21.830459520667535,17.436606295887678,19.07064347523362,22.60318881808158,22.953192094352968,25.144375336683233,27.08925069767471,28.98680333529205,31.752152667307797,33.71983570022658,34.50026840548579,38.31509127897204,40.49127962040446,40.235967271289084,41.93446673869791,44.73842812152768,42.097884507475726,38.785460243340104,38.010574587527906,35.75348450379753,37.71259640879866,37.254807106785435,36.73752443721795,35.9174502790045,33.521187098630726,37.91016448121222,39.64022858135336,40.39676179258612,40.890203387049276,36.66678919780797,42.06367720337659,45.25935259424664,43.2275075274605,46.09198211582593,44.91304290323387,49.98291207445079,48.32103242542548,50.21509469071189,50.36507581786093,47.35675898537053,46.7712867171004,44.45810415729389,44.35160935798334,44.5404029623873,39.89214900965014,40.06205295223783,37.33270406659135,34.21250568146681,36.138924516501966,32.77954462222327,30.18641293166241,32.406488257022424,32.83314053152986,28.018573450462586,28.34270915177842,30.871510136603796,29.235463440423864,24.711047779037127,26.851880787303926,27.89532885407414,23.428468193221125,23.188335426658774,27.13423269028293,29.130282576700104,31.60420692985794,35.806851660854036,34.631012768180916,36.15741920301372,41.13126136729072,42.60852305534461,45.8626965193911,45.70107301173204,44.35582213382924,46.13481369070226,43.418176466728404,48.25804238096296,48.068068530062675,42.62850024307637,44.970959036529905,49.42098336690627,46.269826790197726,43.97011468541678,47.364847640119045,48.76165249033487,44.87818894660542,43.878278426337474,39.72041698138314,39.95706840756407,42.02398280232152,39.694132641483726,40.0723436654801,40.871906170936875,37.8492585228675,35.995297226867066,36.35842422564,34.755446975152616,31.16574711686679,31.28695281372618,30.807421351791355,27.73068706337327,26.91940135959342,31.073516851971736,29.29279470585246,24.941996710895413,28.666527658428837,32.27504150631252,33.230081339708946,36.03636107684993,35.73164151005181,40.11140168251555,38.87927097400852,34.639170874842065,38.73999783993354,40.903367547762876,38.207798711819954,37.99096275104071,43.77297420317076,43.29574546093805,39.078313815208915,41.78822766873521,46.33090123521208,44.8012346969355,41.6864949479613,37.28613234231442,41.79475692563393,38.083290817792594,37.161585430302196,32.33334869614945,30.881239848471825,25.837252873092208,28.07104952228802,30.189780665369344,34.02129814979944,34.25465760964935,33.89406900003549,29.726617564107706,31.70791092321303,27.51350351252295,24.75203347882874,25.966255428964885,26.48214812079456,24.225075064657307,21.87778332572753,21.99422479709266,20.628913404741066,17.546200963810865,17.04040668681555,18.014150488123413,16.194315050045653,14.383571493976255,15.703697799714224,16.86683970091606],[19.762410162501023,21.228024402713928,23.412411860304857,21.47668203279607,24.94418203789648,18.80526582334531,19.34225965281158,19.362748872329156,15.696100021419188,18.16189257989971,17.38612506359379,18.359809786049784,22.281531281814495,20.11538927407628,22.787751480205745,25.32746042951143,26.70797247668618,30.325493499447607,33.831136480627045,36.56972716467536,40.03915571558396,44.172396777726334,45.062211554688396,45.563623811403595,42.629859090962505,38.43492216537628,36.90240199688643,32.62800180832756,31.50504593724643,29.807054570520318,29.872173189210365,29.57913100279027,30.99118412076741,35.20736710835218,34.86658067005514,34.68031134889886,34.277389781932584,37.03209391348421,38.28745663783412,44.40752993264412,42.560596391278914,41.59197686228504,45.8032810566333,46.804987554654005,49.39166747494844,50.477407086502716,54.10704340528874,51.542992018581494,49.31605632923313,54.350243520542406,55.20843881844444,54.998466942805486,55.13901014470577,49.47960788231352,52.3774168385371,54.27474938436693,50.28186590558217,48.63204542908746,53.07065517144259,53.78286672543249,49.82396177538222,49.453645189376864,46.5107707425267,48.41371450812587,47.18796067912412,43.26593010007174,39.930838576855685,36.04857506016533,33.68624808602815,29.802509775570908,29.67518870332923,30.842167324234936,31.993709601594244,36.63329370912394,35.13758825494064,40.55617811432144,41.13845791547544,42.58189812820702,42.97834969280269,45.58012594693595,43.56529011194589,44.84705707861336,42.156363999421124,44.48371401862553,42.670317038704674,39.51603644789846,40.649452362255516,39.43925794890621,39.00015310094718,39.50835454054564,36.79705760013043,38.10536019745837,34.120460912643495,31.43887437473004,27.42132085836161,25.76795894480285,22.331609987446573,25.383841874785453,23.302357973211777,23.61843600555853,28.22749235078934,28.700154518142618,32.18747001548283,31.91999292170745,37.16078959145831,33.71547396661427,36.7647684821071,37.8347352058236,34.35995830531623,32.22745768499631,28.26093972572373,28.38768678534549,23.91861022110852,26.105938915934605,24.316771489581733,26.554830218167627,28.423389380727308,30.957053978551905,32.81196728943553,29.36564460875187,27.009457482623,24.0279254681047,25.006128331892786,23.29825500634205,21.280658498327142,26.043689922153735,24.602943525747833,28.89696710355829,31.646813711419963,35.12597425789413,36.983280901541164,40.454525308246,41.87494229167063,40.71056757856966,38.54741566247298,34.44411119122687,34.31899243451176,32.58661141529754,31.353756681737245,32.696437156809516,35.26552578947297,39.07344689209464,35.73067537296438,33.78163752672384,36.11971843380553,32.76171695599715,30.53761424459244,28.006903605760495,27.758927625872754,23.51470589289635,24.44613032111262,20.480571253466834,23.683942500224113,19.43164675904895,20.06694554790575,23.589616517098985,23.519892669801447,26.283430908456598,27.493141531958663,30.05142727755371,32.42055728162083,33.77449347903753,34.58508192352872,38.371911458408334,40.82219101947547,40.50877926311373,42.65546889339824,45.42576923852155,43.091764053231095,39.519891544978435,38.9477594917706,36.38564149367175,38.36888299574269,37.918483770975634,37.260280310543386,36.66325807745557,33.81321253212199,38.47173302927637,40.06241590202914,41.19223597657829,41.59792989799832,37.84912624105943,43.32603216111538,46.45783040581156,44.18005505189135,46.59065347901928,44.994037410362054,50.1586654017178,48.22083215306183,50.543258948330475,50.894341748451225,48.068280636001205,47.83619779645838,45.77952431544504,45.97120557393168,46.46838500760146,41.86340152440783,42.400380500679404,39.93130754169718,36.86521665767836,39.226208248933865,35.94681002456397,33.12359230125988,35.54563243082354,36.32295194948168,31.479753941763555,31.5101813342208,34.41854229624709,33.11772407026384,28.387943740486122,30.518077078371242,31.8663600024617,27.46978450107094,26.88675601911104,30.968035153298096,32.77172841279392,35.568335256912086,39.30721765177522,38.28570981315708,40.06162376608302,45.00255563182397,46.68435641091793,49.79894293390772,49.675229695590275,48.164796178115104,49.87222769490466,46.975253778754265,51.74086839486673,51.64994360838203,46.03460238613104,48.221799893066176,52.67022095024028,49.48175108133285,46.9984461734316,50.22316205233418,51.67777788237363,47.77371817044607,46.40621953696815,42.57447617255921,42.694540957024984,44.999180653431296,42.99540371428529,43.320584978948865,44.39060863547791,41.10209808689362,39.24475391667023,40.026846905557626,38.355742029327175,34.583517842090814,34.967384531787935,34.73471439169701,31.671925987197714,30.86725430258446,35.193938571525614,33.5360466004817,29.214696107593973,32.90315603015609,36.57099801824678,37.38647752453904,40.126239006655915,39.611234251137034,43.99291576355333,42.898272688959736,38.45164605546133,42.411781486815464,44.65964216089302,41.92040538518322,41.404863350078244,47.286525779366414,46.828653830070756,42.37919225243971,44.92283886529274,49.615926845653405,48.0511653634383,44.7620151852773,40.25430271308855,44.70179279088459,40.814308338828404,40.30506035978035,35.27999379457726,34.06440207041037,28.974599902514477,30.78991751656334,32.82582888849584,36.564798213294864,36.74702309645448,36.73393055534074,32.2894927888126,34.23154949494988,29.70524591831547,27.58175746627414,28.890340721447107,29.821174797342156,27.312239603711806,24.806214704578558,25.53039917997723,24.34987946313324,20.591965388474264,20.398624431477813,22.051456058640703,20.2515081270782,18.132351465773297,19.162424928622528,19.9912745778321],[22.084310264336743,23.090436452749003,25.119965297597677,21.97276000140329,25.32752613996074,19.73977387850867,19.696831074578416,20.30482690395453,16.03336566211705,17.372691342222733,16.529314839413082,18.437452774387946,21.554877238826062,18.505876857304777,21.384363553125716,24.26553518264431,25.13463440385222,28.454428770126114,31.419082295528277,34.58788424796596,37.74964441832104,42.0672033453096,42.63936136866629,43.03186749452399,40.331741440036815,36.02165921076059,34.91324389599374,30.771485724402687,29.992766349075065,28.873516108143004,28.57770120026718,29.1274017447626,30.648813655470807,34.49045022689481,34.132921461090945,33.49472897219337,33.64280116491533,35.768562014461054,37.00455958211139,43.320432781370194,40.95233122703236,39.78638158817882,44.08977362936127,44.992487963221606,47.2829995707859,48.30055307260141,51.996774810108825,49.71171986488856,47.53365885465978,52.58664983775941,53.67551470021793,53.67301059594511,53.8782741041434,48.271036366373785,51.467495055225015,53.00253945746609,48.81898820173334,47.395527627141526,51.769799428028506,52.15468920623619,47.99853417825149,47.66891674029317,44.87071374496342,46.34219493707262,45.07500447046675,41.41723581399306,37.61458724106631,33.98399136269539,31.117924448919783,27.414723797152444,26.86875278408028,27.761881511049715,29.413378667287038,34.06380559880966,33.12592083175523,38.672968457987025,39.45914232707998,41.254444532617065,41.76290104353963,44.37102095157956,42.79215021931851,44.08592861414861,41.88119780654698,44.13896537180675,41.99475545491351,38.826070476640666,39.555526679952656,38.80176237628279,37.7342359666912,38.575573065607806,35.473830201557796,36.623863013321404,32.76814546728699,30.484202436715936,26.40907934894233,24.717822648181517,21.163207059232164,25.12793832938759,23.50085973077318,24.853543077762236,28.7175915016238,29.86898277685138,32.67808163024442,32.85111386033942,37.85815750681682,34.5120006221861,37.923136162805115,38.80965209703427,35.445567752733545,33.43565088468518,29.2722037211372,28.729372866844532,24.074082587083204,25.52532596855508,23.136511519578335,24.905480734551606,26.489720059224357,28.637158331797533,30.136120887674316,27.044130129084028,24.4401407658025,21.754743105164525,22.677482270276847,21.54794583310599,20.23950436477806,25.2789762219693,24.905681607874353,28.988918780197743,32.07772553547709,35.58205234706832,37.347980519597115,41.07904160582766,42.034264246460395,41.06437718043836,38.42436066192711,34.14248843840173,34.00849436107699,31.73032407397662,29.976915343861137,31.24832474653498,33.17868810975377,36.94003589302961,33.58155302588615,32.00629192816952,34.51452801960699,31.42390718292586,29.26701748793897,27.258514336815683,27.589316107024786,23.657549822023398,25.41382661094358,21.806967411031053,25.659440070608895,22.0493868318372,21.919620790156486,25.01167355438921,24.239132154482473,27.229899624718055,27.678288101623053,30.458706208747945,32.10973486510398,33.050922878449406,33.49202323101372,37.35632085437189,39.79493264500951,39.17431589343543,41.76004410655966,44.33879281873884,42.25404601149122,38.47250801213685,38.211520786730546,35.48725872562267,37.709960980014934,37.48002066184901,36.921132251723755,36.757759052651984,33.6792137989023,38.680357131297484,39.836850237685105,41.269761642294526,41.27047231672075,38.02015608822513,43.39654194306487,46.35604020480045,43.80380410503468,45.89345097750512,43.98319234743225,49.15100321394716,46.7663654558991,49.43004045801768,49.84812838668341,47.27505890393025,47.26872862301381,45.449860427380735,45.92724409733213,46.656870358136096,42.0813264054785,43.04401332663031,40.78949043164649,37.961921913809356,40.739126965410684,37.72498227089616,34.58087967382601,37.0141654699381,38.28634961550296,33.47300980353865,32.93475436106534,36.29524812525386,35.59223869220628,30.50766069159742,32.52318497613406,34.319467259486444,30.104637594715072,28.972771772789464,33.20662728754599,34.68929991252919,37.95708102117369,40.950877841295245,40.180928924329855,42.329158002171724,47.210316354217454,49.236118192115825,52.12063399943873,52.16915060072598,50.46932393946099,52.18348187973851,49.16064332815432,53.77556323038452,53.66371984991058,47.82923580639227,49.928115874999264,54.2477947204835,50.92623323674194,48.29872047109293,51.360525960498144,52.709959027018044,48.75861511830877,47.103384070209124,43.65699170748601,43.888319842602534,46.48847975399316,44.900545829802354,45.37174238814486,46.86101466955422,43.40221116975902,41.306524785783836,42.58298521380501,41.09177401245339,37.023442739876465,37.461407623538676,37.6989207219057,34.733746986025054,33.65687756964575,38.20739684756928,36.865317052624555,32.48612813960404,35.92996911289057,39.73228807607097,40.228081184512725,42.94818570877174,42.19823255295288,46.519657975551326,45.4892838064346,40.72943959198284,44.546730383996234,46.78645173146187,43.945269265174105,43.07663470648758,49.05236931755804,48.52191688554429,43.78653702660935,46.1639366493447,50.97896511633722,49.31587084556618,45.82128972966472,41.20516338374321,45.516097019944716,41.44659893433158,41.46024118121135,36.24259731923284,35.35618101780298,30.291134410453306,31.550142747696707,33.46808082022474,37.03994344310704,37.20985369826583,37.66640955315965,33.04967922065201,35.073718555660456,30.302851709027433,28.86610163665159,30.57711856216728,31.99833391013025,29.52336903230121,26.57123405329752,27.787493227602297,27.122535335758656,22.799915358262417,22.468275328741502,24.958769914514818,23.55343709647443,21.284850507041934,22.339789775651703,23.09243149484918],[27.610161705883232,28.67022537055003,30.370532690119397,27.673822891337476,30.20560057752103,24.188889406352892,23.3722062408877,22.770320305812138,18.280770427685262,19.07665412326404,16.869069116637096,17.90018632260784,21.867739085464763,19.0568441099145,20.245150932795532,23.28982028337873,25.229408884767487,27.808413653621148,31.10718700646885,34.191104019832416,37.25394675361719,41.573124953980496,42.31616580070548,43.2684083100411,40.762416514351855,36.46644802177241,35.551062893198754,31.48808150264272,29.893763624112136,28.41123234305732,26.594061797466274,27.5444145479396,28.035536030808654,31.704276540870747,32.231931948907906,32.202257337719274,32.805810910546754,35.607721181108644,37.45914164761966,43.65629131846462,41.85045451257739,39.91037036205114,43.993587652102704,45.555936902524486,47.884166607635834,49.44063819184832,52.85574968522693,50.31607561001056,48.83453601478967,53.9422117957812,54.496443329503684,54.54414657577103,54.23963319710389,48.75328236667873,51.43844508457357,52.67765403236646,48.63571802381591,46.58730754241645,50.76553412241164,51.67175124651431,47.21935494365227,46.163507359815895,43.00070462951321,44.49994643402632,43.86225748244344,40.217308865017834,36.30968763047105,32.5079782967938,29.953019107310652,25.800514081518333,25.667516885047988,25.9700005655835,27.064819128164103,31.936185659683733,30.794654438683462,35.71643986211282,37.27092268310017,38.48477258086674,39.63878287209462,42.786726159705424,41.43828334564641,43.49059200536602,41.36573953662455,44.27889244597432,42.51346702673508,38.76551787497584,38.982514241717986,37.59421866288036,36.292666353740806,36.09147329665885,32.89524484123176,33.27534425944013,29.393374856976315,27.12047847790418,23.72203664293911,21.201092274840267,18.558127318187168,22.62574386969588,21.72925438471631,23.06081889955677,27.28879103035914,29.469674091689527,32.27035786513739,33.47785736177028,38.95841240775529,36.33336109232516,39.92561048822232,41.470492003764775,38.59407006631419,35.957072436637105,32.323799342015406,31.316015859436032,26.733454584576172,28.263096629412036,25.12930033991106,27.34872230943267,28.05460199808895,30.72629681705163,31.017540982547377,27.43714809772669,25.438589306578745,23.220355631148713,25.430087256778187,24.63032925582529,23.69871323021389,28.880881010769706,28.666795323146374,32.476919132142946,35.56278333907578,38.374023392882734,40.99217223434482,44.37006083098547,45.231917577868586,43.577054310452695,41.53009633688733,37.218886225714506,38.063637789938426,35.44324327229541,33.68796470298524,34.221763094003364,36.16590280177073,39.20873084827879,35.41770053807977,34.042257127784346,35.954168488631055,32.44893135924376,30.86638212905549,28.533393560198178,29.133193576969553,25.301439277674696,27.070960085552937,22.822522120589674,26.047262104616017,22.027896028804324,20.979971405651597,24.42471273130371,24.09689960778069,27.776797109098098,27.873347573802402,31.74559319910487,33.89893528297532,33.97296870418196,35.4675714209258,38.784374055773775,42.009727290548604,42.15681306593462,44.80778639099911,47.766380828191075,46.08763405127628,42.23867200829419,41.70836537425261,38.582762178819856,40.04542021217436,39.24362792392595,38.02566359873864,37.45209669649699,33.80603525989233,38.477616174540586,40.20571799098551,41.9207903835955,42.68209295639661,39.74480205751537,45.37951454213814,48.487252987042936,46.006599055103905,47.45122696870657,45.158606326358836,50.42738055843782,48.505901121410794,51.49228735170499,52.37474698701872,49.74987135773664,50.27273481063953,48.68773438515741,49.3163184747058,50.40226829865648,46.07587690959266,46.99064069838015,45.117086454494036,41.85787470979413,44.822631006194804,41.4199387555,38.556765142961964,41.59928008855966,42.58914532770721,37.76639944259463,38.042621868297296,41.253447439397,39.96183299821973,35.45512613439821,37.849327410657374,39.363703082512195,34.957332616849634,34.56949027563061,38.80897016327313,40.400396460212896,43.341156633299015,46.76295620293604,45.58645842512366,47.508585172642256,52.2660383899811,54.11589465881791,56.961844701955144,56.53752893168231,54.71112875361423,56.06617531841807,52.76610476032137,57.44784895878525,57.79807099934454,52.05791982427152,53.770195152874145,58.3960000267428,55.43918951174651,52.597767065989764,55.43755969031188,57.356072865379694,53.59849882366727,51.457853510691024,48.1303509421414,47.55917780452923,50.05305170741342,48.4723319668912,48.357292927570185,49.63549470801715,45.83716785032943,44.3814295865484,45.72937294912216,43.625735024199116,39.8166924829061,40.944592353871286,40.815398681746125,37.74299311379829,37.40125886426816,41.883802453494205,40.244393101031555,36.220652038429,40.1530915883737,43.7674160724526,44.55794093278955,46.95370577111517,46.03027316778195,50.45022486762591,49.862500041528136,45.30153751057052,48.863453139602974,51.482070259564814,48.89956100701723,47.91095796845594,53.84405456552231,53.77313600387684,49.14725052351791,51.23587402017735,56.194376701153324,54.900517443484915,51.48189671781201,47.00526180064033,51.55351969082698,47.675814873222606,47.59824523926954,42.40883022273329,41.10726990086402,36.038658305793184,37.7227330990476,39.41774924732001,43.031800601024464,42.84927575311364,42.93154071285539,38.00704779973574,39.452688922579675,34.581194343796994,33.35815546908825,34.083956042402825,35.41825736396101,32.256238443450975,30.16369722361946,31.856035401090367,30.44358475355714,25.95025553543404,26.91401625665967,29.054533726951497,26.79398466494451,24.200337164496148,24.477852442809304,24.65908210874807],[27.37285645471107,28.159538728028622,29.993093825640415,26.21153069580231,29.13808935975492,23.90813793272716,23.138854208577776,23.680272813560066,18.972398046350424,19.066594896610418,17.56464555855091,19.86104751309461,22.53636441348548,18.782651722781576,20.97314477595284,24.23311237489221,25.051645490170287,27.61460595483631,30.064200856927204,33.66942396531719,36.3934243638014,40.89885984261439,41.17617867634202,41.71129003672951,39.4008622014964,34.99597527899339,34.48629646281999,30.581316420702247,29.802103176795637,29.137070378889014,27.71879080991818,29.335651054234738,30.440845811695475,33.76602461609203,33.836403303407096,33.03144449459358,33.967205454574476,35.74695408356083,37.24101469718559,43.653090774063976,41.01579487742097,39.27580820028695,43.54395278981558,44.645588307829684,46.60843862485612,47.795545337757076,51.416514116459176,49.33587242295286,47.54773059071641,52.617761175789866,53.70448084176485,53.94518717877901,53.98028762016042,48.51434298690603,51.76145547161205,52.77275770624049,48.47480505397047,47.000094404498405,51.18829192720216,51.471699017501436,46.973996904210324,46.329690242989535,43.52397521776962,44.50637399332353,43.52075134457038,40.19597972007434,35.81632512232227,32.431171557364614,29.13153120003013,25.464249235992106,24.59310788093932,24.76560973127117,26.791854587975134,31.538793856999277,31.19959561482604,36.518056581318774,37.94225420780515,39.818054429613085,40.77636314631184,43.64317201079862,42.644231159676366,44.30616002145602,42.63428230035765,45.11418203819922,42.836935311086116,39.410617900519064,39.47916901677218,38.89432541562679,37.06793461086798,37.73483779991549,34.192078727301485,34.74714080069034,31.06809200448234,29.264709548915704,25.543083576386298,23.423662158522575,20.292757409447475,25.15660547630334,24.336838699010737,26.528988598843327,29.882504888650647,32.05986073673308,34.26709852890028,35.27688292483512,40.256874657436065,37.33008692475253,41.08940789284362,42.095111883115514,39.03897107822332,36.88604180402555,32.81888553902315,31.54950749864705,26.84010342361549,27.64732584468908,24.403028266941597,25.84993268954161,26.68412632916158,28.596539288971,29.064147026104152,26.210090906087363,23.648027136002217,21.61549079239592,23.061717665550002,22.76250341896999,22.3759120689551,27.602728357296048,28.232523370870595,31.966095930714157,35.30316049853457,38.51304832210239,40.530953702839014,44.31506643090847,44.82339905962854,43.74896800026832,40.95106451606067,36.53675997272414,36.79365835353914,33.89903815377498,31.65786315050023,32.52166654434252,33.74178626207614,37.08625428410084,33.55126788019541,32.504630934704636,34.89257512152772,31.932307608324805,30.14137569593318,28.540768942366338,29.529376689465185,25.983655557733574,28.391547089732132,24.830207933490307,28.83806647976411,25.493789194058575,24.47353675357504,27.37010150896937,26.250254754078735,29.68906999733098,29.331798219191448,32.756222259990835,33.96682629193042,34.114751700033715,34.65826141263757,38.3128855178732,41.06691670026069,40.47202453182877,43.50313062653075,46.028012428774524,44.37148737120329,40.393024283058935,40.32896444736851,37.30976846666968,39.41644448353574,39.14963937288142,38.397226483305076,38.45384844087428,34.93698073688275,40.05750710332136,41.06296807818533,42.89505430833526,42.85814956258267,40.22921467698992,45.58768569319734,48.434572026672605,45.67253281266367,47.15679516551209,44.77490554124327,49.95663800983968,47.332927448081584,50.47621022923621,51.161153470346434,48.8340392472765,49.271046295202105,47.78632825663309,48.585425121762675,49.66079160874813,45.2373866819661,46.54020781132733,44.61885076123385,41.838338927178896,44.99045556471941,42.042018409152746,38.782786501561624,41.42803368036531,42.94978210298644,38.171812622436526,37.51410485774381,41.1197714008811,40.61754523063198,35.509628732877054,37.5494305134397,39.526451690086674,35.369945576749515,34.12108636963775,38.41283632685021,39.736445030185244,43.190961737311554,45.82079353250976,45.1261193324686,47.44328668774528,52.24548311522669,54.42828599508489,57.16141599785775,57.181561275421586,55.3178164364476,56.912604869968334,53.706395284279544,58.22906452157535,58.2661999595784,52.316992855854224,54.206239544931265,58.52714685298603,55.239482806321696,52.43379199835005,55.274239379553144,56.73684717110119,52.8297009972879,50.77469019022689,47.70281905370628,47.72454693885619,50.506690072640694,49.24062904737814,49.59531443974689,51.30024179534664,47.59379706515038,45.58185266355742,47.22584123217166,45.622957716284006,41.462815786173685,42.193702149618964,42.591707640062126,39.64416653526333,38.66761177152245,43.32209214791477,42.05017396783104,37.74964138318528,41.21937618189917,45.035929001116166,45.44911193467536,48.05806587404134,47.106596971459275,51.41762452409423,50.57208719730481,45.683955685012684,49.31488775444967,51.66591283716583,48.84088674479452,47.69312316264085,53.70412342257372,53.26089506369626,48.36857169278697,50.52361252807559,55.45710294539779,53.8309188706407,50.21705822800215,45.581224702219,49.81766211813501,45.67379215713512,46.05825141986287,40.745231584406184,40.00788791582631,34.99886699425522,35.95184649654071,37.71002080103632,41.12659378561107,41.187794186982494,41.89814439717091,37.08383164875649,38.94938593894691,33.9920824423142,33.170830890468295,34.793517762588294,36.51243150945577,33.806789927200754,30.901220731799498,32.602417499407615,31.98104604385802,27.273071832776786,27.329215936701864,30.153558447503677,28.65534526258321,26.193604803385966,26.967093690032563,27.45343205765344],[31.88422749095451,32.72494855294654,34.51276525728,30.71875848396956,33.41758852345473,28.18302529617379,27.102752691310403,27.32104084364366,22.510200239182435,22.128026341322823,20.079330081021563,22.17255012074872,24.87542517864635,21.019064261611067,22.31458155361815,25.708341735609114,26.80709106508803,28.706742906268524,30.914327290256946,34.68450181583383,37.089138181985646,41.65122899621972,41.79970938108829,42.569842034503075,40.56853558180468,36.16843883873236,36.04931311195172,32.348436815252896,31.350863176520367,30.804203960220622,28.3691036459458,30.612630613869392,31.14380123781203,34.094153833538165,34.69391533944856,34.02061946761274,35.47007761479677,37.27249514825802,39.05538982112775,45.41866458998038,42.82803923197513,40.59224065948086,44.735691366982046,46.12035113247033,47.897700646740226,49.30972271776466,52.79180923789934,50.770979314360396,49.38565825531116,54.44608096055337,55.38605842203525,55.76299906311726,55.56744527640092,50.240760051515345,53.33986868048085,53.99367780719312,49.70729537097951,48.02684738681967,52.02464272113134,52.41031288801771,47.667169169593805,46.62029611891345,43.716123875426796,44.40836034080641,43.80225945330499,40.71200139260626,36.00797710379825,32.76809233578417,29.3559954563461,25.654247788230208,24.724106612912145,24.18696179082123,26.254936511248868,31.053355164316255,31.045226010521052,35.920197648601594,37.987939996486574,39.685521141462,41.11290564638749,44.274094714214236,43.658090177127626,45.7303517734935,44.34231955055485,47.106465348638814,44.90035802254319,41.2136727605129,40.81016177878353,40.11002991308695,37.84786533269024,38.058021639050075,34.28736680706069,34.202485048594,30.67802531643789,29.190646691624725,25.996363268246704,23.395685266700013,20.940494730048012,26.123847674460478,25.916559878809615,28.34102632342793,31.595747707293413,34.442916494962944,36.423932572107205,38.03919631849603,43.124289506090335,40.56132633398066,44.46016811732702,45.68310824888124,42.85033352037374,40.496677242153986,36.610138045014125,35.02400156563174,30.35321943909132,30.966626655816338,27.271354677364506,28.671184586136103,28.935833326996963,30.821847707160586,30.4240599357188,27.6379690454983,25.327975933023673,23.81127666842271,25.766162133213797,25.902390643898286,25.939226783089765,31.192413722355898,32.159267466283026,35.70926670605089,39.105782196988955,42.03915854128636,44.34006379221111,48.04528008440692,48.37985382887447,47.098858959885405,44.406398932990214,39.960579169632716,40.5749480657141,37.39966549776162,34.98413895957025,35.509051531707364,36.3877061316483,39.32455591663719,35.642403909613286,34.9210025255321,37.07159414713731,34.10041729233861,32.65203470086051,31.157053007298625,32.45296738041113,29.10359335718369,31.6766916521633,27.966117782352377,31.767792855222815,28.343822376383763,26.85838156477954,29.79206795023575,28.736803063875858,32.484786430786826,31.762242508474746,35.69744006721882,36.8825650910625,36.47186472306123,37.33675630122746,40.72060354502059,43.7957690938393,43.398462326253906,46.62036268977624,49.191764919515705,47.81334231304799,43.75986110954154,43.72036941894757,40.511513467281446,42.37254671252335,41.94348455386317,40.93598921197762,40.95873193347749,37.13001353213536,42.14650577592175,43.26149367053371,45.32757363030066,45.49683012815646,43.21221104326375,48.60768901404234,51.43822176468194,48.62381421725269,49.6721126508421,46.986781024875626,52.17013774862945,49.56892590894426,53.00414423332847,53.92473463411196,51.706748018078926,52.459708733177145,51.17188903730365,52.12726342266352,53.40795239564015,49.10293841871606,50.50258386938199,48.76589051204004,45.90386621830954,49.187145916285225,46.15760869251717,42.94628613310553,45.77113976167384,47.27286576594169,42.493660881212364,41.987027456962316,45.599920096636176,44.98370301888061,39.99120866937227,42.09746235697817,44.02109784547618,39.81247837412519,38.68230453657268,42.962636467291546,44.32416399449161,47.72585205789523,50.421711473709294,49.69087268567031,51.9769552210184,56.76536510279843,58.908795686837685,61.645839913427615,61.563938356538294,59.65646687742044,61.14723789536818,57.83943652475381,62.36312484277769,62.5443845039484,56.59609737987442,58.34798922513524,62.74148781347317,59.54409858085468,56.64936251970941,59.377753833725464,60.993675707799795,57.13931093270575,54.873372635124625,51.93593720317327,51.718203563561936,54.51844837470542,53.327049831248246,53.49695378270642,55.17584998549221,51.32555309807978,49.52104833047147,51.24071557889534,49.434759111007445,45.34653674140483,46.31284374789519,46.60868009508912,43.622847394512824,42.86762494217251,47.50370257192999,46.12354912391606,41.910211512984,45.52470733230273,49.29168430782771,49.80217412162366,52.34013108397113,51.339234201005375,55.67941287042562,54.950972043281276,50.100083765823264,53.658724361547634,56.107767733230524,53.333085832492344,52.12535369748821,58.13573837991549,57.78803619430652,52.88615569690178,54.94909680816448,59.93251333134875,58.36571587725197,54.738058258802226,50.11420092273144,54.34968626939046,50.198930968084746,50.64701336530412,45.324261912883266,44.58376186843488,39.57912866761513,40.516805069350255,42.23098298463236,45.61085876145118,45.60887054670713,46.32908545140887,41.41887703533554,43.127231387700746,38.10913276507454,37.473187747616784,38.844637383452536,40.587110225285265,37.654602828134465,34.99529253427239,36.873587885814786,36.0471140482439,31.265122292619022,31.684287187465664,34.41531657828338,32.66584055853931,30.11378261884726,30.63077688187876,30.903404944505766],[33.078377636565136,34.398797774961,36.48738027981263,33.38650089132112,36.439518003527496,30.781387973111134,30.109906584131007,29.97027562755084,25.35125495366969,25.643837675982276,23.45199661220162,24.903918246907015,28.363725789136183,24.938787575191174,25.931753079233594,29.222468390304787,30.82800388494861,32.790194836408844,35.32317110561307,38.91716524407514,41.43428481009404,45.93932140297137,46.23601894945924,47.15593429400202,45.10804230933063,40.73384766471092,40.4723509411102,36.68427229901602,35.37958269229867,34.430224759161874,31.805893591271175,33.67232691588626,33.806179514936986,36.946883989295586,37.87533599784042,37.63670920285791,38.891782566242995,41.21797765745918,43.1353782120977,49.42442044093929,47.164809179052504,44.88152426729757,48.960653226432775,50.51689255040008,52.42359130132797,53.94235023809226,57.37127534383394,55.20061546969295,53.88813976912154,58.96800459628756,59.74024128323286,60.03073313544284,59.71417637564025,54.36065826324827,57.215760027444354,57.992822546754724,53.81693951641335,51.87029957714757,55.855090652411604,56.527792360674304,51.78514047402706,50.50563709309824,47.41422556894726,48.283897320158715,47.90276143431096,44.70950014539528,40.14844065935794,36.76063056737435,33.62353682738919,29.727354933751343,29.061614827518042,28.415430516892503,30.1532829101435,35.00876074255796,34.73333616338323,39.29033837982062,41.58713276830988,42.89242065883138,44.51716918889365,47.86522538998286,47.08113870324037,49.36146638724971,47.692369405644605,50.66023730780277,48.70559801872765,44.89129084089136,44.60265156343401,43.475283948127185,41.48849120550576,41.16923547077598,37.56398379957126,37.22380381547746,33.62779983305125,31.925092342236155,29.015971776079834,26.096255916153194,24.019174028981826,28.71105227634099,28.40056464076795,30.078778597913445,34.062796217387294,36.70742124107461,39.21041363641897,40.730715030653364,46.113688710792445,43.53369517266861,47.228263128310125,48.63687484177459,45.699306983235694,43.21613212861997,39.42839051559289,38.26427943421279,33.609547390783895,34.69230677542869,31.23375615539703,32.9342253556769,33.329022663681364,35.44133224456145,35.105544811407306,32.09418775225935,29.919472380181105,28.25161841416837,30.276475794416243,30.116799041836778,29.74625356558891,35.00194190772403,35.34179436467089,39.11680055297602,42.353247240703766,45.31778511529439,47.69523172532485,51.27671179128936,51.926390908600254,50.49421709355094,48.088936359302416,43.69324829649869,44.27137627404064,41.3820321736598,39.192456346270795,39.80182197381182,40.97898341558914,43.9696984650401,40.24201650524459,39.35590151311307,41.41393140882804,38.22901022813273,36.77134917893406,34.92280624117715,35.912380349497276,32.29025836892084,34.369425772772026,30.247368446300353,33.52397262112668,29.414367331745936,28.31893590211651,31.744700773675422,31.28831700295674,35.06895228062926,34.80690477053388,38.81471766371444,40.530642903167134,40.275972994249,41.45724140983214,44.79869094115785,47.97081623348818,47.73859011581643,50.77103619387881,53.45389068275823,51.91070539401826,47.92729408183967,47.74095704341263,44.59227610732306,46.33467621941226,45.73570208509591,44.587702196219475,44.27728025460104,40.45684482060421,45.23413917629394,46.75516218118393,48.693484407061774,49.225111257012294,46.63397720631924,52.17061576800344,55.14472282724378,52.47809840845194,53.66633431377194,51.08991307520541,56.31668654315377,53.968406986197806,57.28678607941492,58.204371148817394,55.83676417747948,56.482414059609276,55.0451306555744,55.83217268296814,56.96087728452592,52.58178133781435,53.71139782847733,51.76558015349019,48.74542999061477,51.712595120594386,48.475297064243286,45.47418757034383,48.23153226608676,49.36463350616883,44.52895694723371,44.32746679148529,47.61012396068276,46.550526707147746,41.73531941893154,43.82030903700424,45.376661873816325,41.028339587604954,40.140923141778565,44.23120052435367,45.92969841697624,48.963545676394986,52.299064397083285,51.52785915756825,53.50784215027977,58.43480262484563,60.222692189517836,63.2749544802736,63.14375555985113,61.47235463299655,63.01991289651867,59.85777629828797,64.53498450717963,64.68244217513839,58.902321151038876,60.7877400575456,65.27887145699604,62.125355271689415,59.369898284824394,62.26996919431571,63.8957261038563,60.01764161715975,58.03501007386702,54.772296386231005,54.55152578582286,57.14141454432464,55.58787104954083,55.64701045153164,56.935629830439936,53.22513319292239,51.640071518354034,52.89765282788591,50.90612057288296,47.097614939455724,47.995981961818494,47.82482614362721,44.732984436765726,44.208991064579024,48.60270509702956,46.86920966249549,42.675778827489545,46.47607635829554,50.1086946405611,50.95926615820063,53.6085728015346,52.90451165001703,57.30463709351797,56.40731042143177,51.84017659397837,55.615424088094684,57.991555773761505,55.23339265787432,54.39828229547109,60.35994359158407,59.93282916406477,55.2375188106256,57.55024090149467,62.40958514752318,60.78103936191777,57.282403406808044,52.65598222557573,56.90219774778351,52.75069870345444,52.79864807360391,47.60193816465759,46.812410379020314,41.742931616980485,42.91720743879309,44.872703453528146,48.389826455249306,48.55188863921402,49.05871960643866,44.30164447527879,46.073646260982606,41.16921881753631,40.00475728924682,41.17977287882281,42.535506965926544,39.55554439724184,37.21646577804504,38.664195260031406,37.42680377099311,33.099952661015905,33.52505583772947,35.556500345813404,33.501152072859426,31.109580236726085,31.562830540672454,31.804433384049098],[29.066361580048643,30.48347563506687,32.776096166979144,29.732167501350464,33.215154860157945,27.64620983381164,27.438168623389494,27.704922665077994,23.239867152397164,24.018614643283016,22.379765536954277,24.048188256562582,27.44271346704165,24.041480667188818,25.868337866334176,29.079734773374685,30.341027484541407,32.85597873251304,35.465556865044384,39.01431510170385,41.74545742903599,46.242509112328904,46.56636823808931,47.21517750582715,44.94599746921089,40.546300705204786,40.02565006401448,36.08980179723638,35.08155886211084,34.1161646452354,32.382827491267435,33.78175931554832,34.455582339109505,37.91058680302295,38.352274296650556,37.924971004701085,38.76913924577682,40.97279269259834,42.591571853635806,48.951564775863304,46.53310293420693,44.71404307051293,48.93113927455599,50.16889831941917,52.173875369124744,53.42733564759086,57.016363168014855,54.87576931868797,53.151624900352424,58.22999161704944,59.226585769368185,59.42248856014026,59.36564461680579,53.89012073446099,56.9524273391833,58.021491519372475,53.79562928269883,52.10477674309729,56.263168276891754,56.75898289213288,52.214623225156885,51.33087868283581,48.36415858177505,49.40057761879038,48.65342609201995,45.30808569282719,40.92433602329663,37.47010993546016,34.290424777681324,30.474864244556965,29.73053334096513,29.583609880620386,31.471230210864896,36.306593123050696,35.893512858838164,40.88594656337624,42.65806248648786,44.197878612024006,45.41525857311616,48.49090837442861,47.41189392954199,49.29178232507464,47.40532164381577,50.072266354932374,47.998503829978475,44.45757888596437,44.57427163228651,43.62947169037927,41.96047988749017,42.11923233708792,38.6507237931658,38.85128817827171,35.126862067442126,33.19840409224291,29.800396477670514,27.27850737385669,24.58617805901676,29.103599722431646,28.247895803581898,29.701985116180307,33.81147981305151,35.801521471115706,38.53193035068585,39.43446702736228,44.69120600350226,41.708993145406346,45.24125750112093,46.37592696083842,43.16221552027436,40.945990788739,36.938532463417815,36.14899000552537,31.467375617157167,32.69858810525993,29.696565104616617,31.330769482391567,32.254313586242475,34.2506789265575,34.67436525296705,31.735898294698785,29.267394426335652,27.213337786746767,28.655923005123427,28.18204136160135,27.464042655670756,32.641878842045905,32.665928162520046,36.63519509906995,39.80361299971492,43.11276239186476,45.09702859870173,48.79723933835715,49.616964780239556,48.47606339772378,45.88714971656492,41.532214873113695,41.626141474070025,39.031104392272034,36.95830367434346,37.963527975976326,39.321493210109,42.73535999107418,39.20080367028542,38.084795420559246,40.428021833420665,37.33479882140249,35.542389473925795,33.68166970915471,34.400871760072995,30.603426822599715,32.50561575560132,28.53643249116396,31.993733400349306,27.851695281245632,27.325340105532664,30.773644238401822,30.274050267645432,33.7377349432704,33.83957093715451,37.31198764183051,38.98751082182984,39.28111283468835,40.04421760841005,43.67827516050943,46.471481325697845,45.925442510280604,48.818234996479006,51.367570250054854,49.53844391820975,45.63037542869618,45.49966791919412,42.58219807394555,44.65821573744285,44.285443940439514,43.43647798361656,43.21019909481287,39.70058725644468,44.60791485956279,45.97315248799984,47.69336672822982,47.950531100692295,45.04244688810926,50.50700541171466,53.46648745835644,50.827260414905815,52.45263746520272,50.15588478182152,55.36306021367024,52.8893187782123,55.95020149038393,56.6038287792868,54.1785285507534,54.48512656932615,52.855354881749825,53.48912730811313,54.373689893720176,49.851809681751746,50.897690419165436,48.70218998184648,45.83936633214651,48.60676842068951,45.49837156651855,42.438621102359825,44.885512036805466,46.03426152535224,41.20398281463164,40.73208390281381,43.968495618859194,43.05729228911841,38.05328137940465,39.95984833378131,41.536933135408944,37.255463753772325,36.119258655312066,40.14126159762842,41.86989950865086,44.939790345717476,48.242821727990496,47.63141292944058,49.624874426459264,54.626098789697345,56.40549843473235,59.541795084681944,59.61617854059581,58.066220401064655,59.798580469288744,56.81607478332457,61.497175204914534,61.40889001174214,55.64341757401332,57.751631884808354,62.11694671998822,58.809004099791025,56.2050746321496,59.263628664368255,60.618799701443436,56.65289460268945,54.99990998842728,51.57601654355838,51.73695223212154,54.305606802073555,52.63924834533172,52.95707354404692,54.24245744041634,50.744828715806406,48.9002153530573,49.99286328223544,48.2596067176709,44.39690952959158,44.941221031988995,44.82844994822203,41.765057785697124,40.95178925629249,45.31109032635314,43.641655063360595,39.291912309274544,42.90280214166688,46.58576747045657,47.37363424782303,50.193451910500634,49.64453501977533,54.00509634247604,52.85991792912165,48.28368157079269,52.22392596609336,54.39991614046682,51.537074740283224,50.86176081187772,56.81206509716891,56.15915680374225,51.48981819493208,53.99751519691732,58.741481636280795,56.940732786067564,53.46049923784453,48.79320047643434,52.93579691277263,48.72817158188933,48.68962532630147,43.538911046387426,42.90092219748189,37.84196418784019,38.91323513990152,41.019903882351635,44.548321689076,44.90585939941073,45.49417976684398,40.94492339842895,42.98810004388835,38.19029550449084,36.761405467974704,38.31631814736315,39.594777172039436,36.93076920116576,34.292728405384956,35.39635383282951,34.389327655450415,30.274304055593458,30.137534995337955,32.11893978288089,30.371022189002527,28.166588298286854,28.951846520830355,29.455064137622532],[25.531926296639135,27.178738371706427,29.54834362937218,27.215687316601148,30.809896720854404,24.889903744168706,25.08843711960531,25.10271337484468,20.992380394043593,22.594100857726954,21.164087802343655,22.346833543642653,26.251523944767257,23.431327811985284,25.464839197999865,28.42207887204496,29.936607941143134,32.918387699338886,36.032536492992875,39.220407222057624,42.31200426400125,46.66745181173677,47.28362741546769,47.934855628290606,45.364135586796124,41.028220344580525,40.047093119482646,35.92065762369406,34.738023596190274,33.331161156271534,32.207931311219546,32.81886491198292,33.63882916024523,37.49492832429045,37.74554532702388,37.572576684810926,37.86086675202958,40.490906804523256,42.02974696676878,48.288777696967784,46.218724404686895,44.70784881806014,48.916879076659846,50.13265459073158,52.432008319371604,53.66691349051062,57.263484375250705,54.88254702452705,52.9809847085987,58.065327266016276,58.939776715106845,58.93686264577381,58.91133923162298,53.338218967131354,56.24670507391528,57.70124298747868,53.59896345414608,51.81677281937747,56.09910585657122,56.79395162081453,52.472671624527486,51.70960882175829,48.66934232647212,50.139297022926186,49.270246210042025,45.62961215278354,41.70007769257448,37.98530138996662,35.20753004501163,31.244014661239724,30.836948692128974,31.19891531499672,32.68795991627762,37.52290659999491,36.557759936569006,41.66365439893181,43.03156924254905,44.4004819562591,45.356731740790096,48.32309759555982,46.79709032530027,48.52389691140739,46.20619328619513,48.82655083471541,46.94851019120003,43.49707072227597,44.056595921089624,42.83974838610536,41.756413843577576,41.86329577061022,38.74053544090759,39.314293939819265,35.42050329287041,33.0848852661309,29.499423586923253,27.180384062308317,24.281414776545727,28.11177640480563,26.744671900282587,27.492505922255674,32.09573828638199,33.44645320160443,36.67090246180721,37.10333453923633,42.47462966253304,39.31984489154902,42.58635807186202,43.776189242068526,40.4347048041071,38.19543143837234,34.26135704840606,33.968459933828534,29.377750752718526,31.13686209734764,28.64444249844618,30.632178541459812,31.949706861052263,34.26227240818836,35.25626373089816,31.996379195014732,29.60323493400566,27.122881273975864,28.461053376515398,27.42217067199583,26.08746864142908,31.127492362509802,30.381171117668398,34.543419132857714,37.48816814545847,40.85750688390111,42.83308677259595,46.386547066760095,47.55872396454427,46.34196346982545,44.03733478794024,39.79845559152888,39.812026178524356,37.64704804505957,35.9752991635692,37.12832003251502,39.07278866382491,42.664040803186516,39.163266559921,37.65723598720667,39.96545522496011,36.669257643189795,34.70859963213167,32.45072749139295,32.70079246967238,28.633677802707037,29.992782164302522,25.85740720793004,28.99576993183964,24.52361001709469,24.568161970614504,28.25496783969531,28.152865725198453,31.385614375275892,32.071413649147864,35.249316372348204,37.39670777296915,38.14154969444444,39.058817021373095,42.7381947097053,45.45136400213845,45.07020621769545,47.60375870253946,50.29124226975888,48.20605888426321,44.45197106155891,44.08902763392844,41.32226141190031,43.30770983592539,42.83191243032024,41.99377843401304,41.49309669240016,38.22751928710285,42.95597318937169,44.570609548002565,46.017455620618904,46.47835001670934,43.12947867215865,48.65698698015947,51.741181185591046,49.30003176574608,51.28219545487149,49.29508539808406,54.51465605538324,52.351304942048976,55.08154041914018,55.619590264508446,52.973957129353764,53.033729967808846,51.18170238541257,51.57959790760118,52.25766486402802,47.6824754125708,48.42335882929607,46.04876266531897,43.04643868068881,45.52572791990198,42.272753593081625,39.401883720482644,41.81030583289018,42.658702340677365,37.81827366240323,37.67208495153562,40.633040533335716,39.38415793684085,34.584944847441534,36.55983620466823,37.88286923129713,33.51195474286622,32.696965356602355,36.6434392606812,38.54482275685613,41.33963392913448,45.08196165770795,44.2931957178741,46.065559582378775,51.08976109233027,52.67568907151577,55.930501518117815,55.90331967361043,54.4694536178601,56.20906693783316,53.32443930977531,58.09217936197176,57.99280919948014,52.368294654943355,54.55354680278601,58.98546808244727,55.751901024051264,53.25444424526502,56.43936484647535,57.841151881205285,53.89892855511334,52.46794848705902,48.76329983759153,48.89770371462542,51.2731101267555,49.333081177204726,49.60261099819615,50.63943645899429,47.28587796058473,45.536830341612465,46.316181861928335,44.52904983679032,40.83161965275686,41.290778512765016,40.93071382357205,37.83109612238577,37.130340414816715,41.35553077622858,39.538573641784566,35.22338173616209,38.93710337218506,42.54378449331343,43.490575078972306,46.31814922625975,45.90929325167864,50.29241784068412,49.10117476932895,44.709245165990026,48.73504658550555,50.90608175045329,48.10714256406661,47.64950139495308,53.53858829646677,52.93471931495265,48.44758807138556,51.06316314793815,55.72879311366103,54.00286217351729,50.657506258181044,46.06151469351731,50.32290266576212,46.248914166870435,45.86055292953075,40.820489800373004,39.93882519662042,34.85702469189698,36.30754335978042,38.480127158651484,42.138333769251524,42.48980627071491,42.75554125418076,38.316956535188325,40.33379349452206,35.69560467337408,33.805894176990776,35.16986478494557,36.15232367287076,33.52957094441727,31.09820433911687,31.881475161928954,30.630708112076356,26.866180168548887,26.730417604423998,28.26382465710396,26.36227830270722,24.275938019063314,25.09803837838075,25.68640973700583],[24.696064662760303,26.096792610983666,28.57996078561371,25.410995403663723,29.371899006100552,24.119168892718598,24.434149550657065,25.339637570383697,21.148463222708124,22.339684156412957,21.48646225344182,23.501341460946595,26.51317135543498,23.146792501159215,25.924746023463715,28.973720470942258,29.69152254973819,32.740435732872385,35.29204171327978,38.776308289315686,41.66393512945531,46.11009002537213,46.41604352008757,46.72410203001254,44.25719737388674,39.88258319941807,39.12286597959909,35.110175005103095,34.53477082956935,33.67388760195888,32.977312832969076,33.94580433308746,35.26471123291371,38.934875949721054,38.79212257628024,38.06706534011258,38.50516248478932,40.40803373126149,41.63802589742907,48.02445345268677,45.36310719565634,44.09250425648004,48.42996901660893,49.260818887584904,51.317376050629335,52.235953901574575,55.98784205108398,53.94201860266421,51.754844956863515,56.78641857461902,58.07459781048822,58.189627936941946,58.45349430452453,52.89032351053888,56.22242631821631,57.56728115638277,53.2917812351037,51.96039908125589,56.27013645150318,56.49774099518314,52.20100842421538,51.79957889786195,49.03780658661882,50.187494939371696,49.01271599968766,45.575170647063736,41.395249393066884,37.965854116327606,34.73068687341857,31.135981921309718,30.263667709419813,30.646554717566662,32.72022514700599,37.42275945098023,36.9486038689873,42.37294159564238,43.544046097293474,45.397312729448366,46.14128517625757,48.8559265148261,47.52118894032861,48.90119532520576,46.8703759603245,49.12723715683195,46.87447721612326,43.709581867281265,44.23784667315988,43.60952969960783,42.229291891902456,43.00964352678173,39.68719729791716,40.47774638804569,36.702469659145244,34.63808610561753,30.764707617748737,28.77425573963147,25.47756743998526,29.785796765109858,28.402544180467512,29.755388842868832,33.73107505841091,35.01071266634056,37.81880444853823,38.03087952918951,43.0009940883466,39.58191736160207,42.94194004959992,43.68597724924612,40.18594671609196,38.355963074110335,34.08889184359704,33.6606647831841,29.012333250742834,30.276277634628805,27.83903166933365,29.269064017979744,30.77822678943636,32.527734602778715,33.80788452564514,31.08255229546852,28.30479296164866,25.89800226389062,26.558064503596405,25.782919596109785,24.74625826826731,29.72578243156454,29.521705304773487,33.62943518524138,36.7257333742362,40.42590207844657,41.88597194046026,45.74593494435818,46.67902709591255,45.94022515672711,43.06746535871462,38.785207973551636,38.27949884918657,35.996633849478314,34.02605273397928,35.491760034140405,36.9621314621609,40.825564081005346,37.578785522097746,36.25712370017135,38.928036492782375,36.047184500790635,33.89596317432533,32.15117288686007,32.61686738022086,28.754096701332948,30.536073896311866,26.94854047463404,30.685528302760904,26.785553515703118,26.828504308773113,30.088140863358138,29.398374210485255,32.412638672123485,32.81492718767322,35.58416656641855,37.044766687617305,37.935035882031336,38.11118955240995,42.055950867788994,44.34925526392589,43.3847132327157,46.14308603577683,48.479678319552306,46.360977197196505,42.55078177795341,42.53527921468929,39.910161037520986,42.404054982989436,42.3506769034422,41.89747242502179,41.85890445519025,38.74613656191923,43.797254125845754,44.86793323549797,46.358823373240575,46.202262034754355,43.03550824657651,48.32999647270263,51.21177683338594,48.58188163587939,50.66330362766544,48.67479057329913,53.80743656416734,51.13587468823609,53.91319325253551,54.2566808158668,51.82389404607089,51.75710114601701,49.94883917042383,50.44216156709952,51.06864916393625,46.41321969281032,47.42821496681237,44.98845520998462,42.38494067858101,44.977126092944104,42.10641177489475,38.9298868016584,40.982612186919354,42.254037651625644,37.470553215314034,36.550852294747905,39.81362487530972,39.230870047457444,33.94521730580706,35.60746755992635,37.31830055306395,33.18548387378319,31.63246408056383,35.60904714178281,37.274100953923984,40.49920640152825,43.56339158390847,43.179944147959525,45.27832368467961,50.32777017289575,52.194174676343934,55.34253039194674,55.68951808693665,54.22949703231547,56.16951588993094,53.376814648827036,58.00499967914301,57.63772781886051,51.85887405314182,54.198507260115456,58.368108062871244,54.8655865749339,52.41820817270913,55.61513766086529,56.627185600719336,52.56670184135003,51.25078003124357,47.73038698023643,48.369636042513655,50.9596081916808,49.26302467920397,49.92690052570518,51.30826382304074,48.04844187715949,45.8393444812602,46.851301059723745,45.49470507860929,41.51533563198155,41.633833461810234,41.725294146082106,38.748819893039325,37.507838408173384,41.86613724400695,40.38621773520644,35.85901592170194,39.149807529754334,42.919039792925616,43.52723335932481,46.522408038705706,46.087920954063456,50.36567640113679,48.960016406693185,44.30505669267029,48.381855486867146,50.318673079884746,47.32305184162231,46.74770113378088,52.68402266740939,51.76573501322319,47.076636289557435,49.7589448122474,54.383354716822495,52.38069305461391,48.889048755767625,44.172215369976335,48.16730630755202,43.882730510263,43.85129344440865,38.726321327505495,38.31697020386726,33.301392111799935,34.14728627058951,36.389329803865266,39.88509988082399,40.458675265093056,41.2218533351463,36.91795638019596,39.28898743698149,34.627758337918344,33.01666889725743,35.11502145642003,36.394211502233674,34.17071097690084,31.085469509699973,31.849363810854467,31.27583167486379,27.361828308355417,26.459868506473057,28.56431019594906,27.343873576056954,25.377528151928416,26.605979800195666,27.4454519944027],[20.849122714435808,22.949370941141318,25.811721887447543,24.122017926490148,28.504322296988146,22.83129619593203,24.06427000045956,24.601922698479463,21.21688365967615,23.702083020224986,23.16175692343351,24.32551606635184,28.06685120387315,25.620040175912177,28.479321062766815,31.13766237656932,32.265512115291,35.82171667278042,38.9903334031698,41.988744094859776,45.28874908596086,49.53011124186625,50.19713856185145,50.53108877908036,47.72695729134902,43.47146393512443,42.14864678530084,37.93813773645725,37.101917515222546,35.62080342366914,35.6044738189501,35.52351095159865,36.88168219236219,41.0354696414339,40.767813955243966,40.476206388331775,40.176625631294755,42.71302867334161,43.850509795836665,50.03258527511631,47.8916262231222,47.01584035830554,51.29791890827736,52.12132914263839,54.54424140699539,55.43662264696577,59.17265764664933,56.82788491226086,54.426962046331106,59.430666045665426,60.54809130741633,60.39210863539623,60.685799115567875,55.02414628012828,58.09619800067582,59.95539590123206,55.8794062836701,54.386045003551345,58.82310327891254,59.35849315793265,55.352162112100615,55.0341928886403,52.15113667572184,53.83528414422888,52.59019488182706,48.8081682459198,45.201595260439404,41.469085219504024,38.77093191055802,34.99373029075488,34.55515600226182,35.396480252355886,36.96077819643916,41.65868928566263,40.52703071482454,45.938177387879804,46.73433852770506,48.26347024229609,48.76307620991645,51.38362898153585,49.46866530300368,50.69426278300848,48.050341188068884,50.26212723855636,48.339114670663974,45.307078431284076,46.42591873006421,45.357886256390024,44.778429618035865,45.337154702098026,42.48913972155438,43.601890446892874,39.64850260571551,37.092278242686135,33.157671281478905,31.318502829871907,27.988290903311924,31.273663678856437,29.265182942535276,29.42484755875834,34.18331379977214,34.46810011499471,38.069773134534614,37.543309431050055,42.66209714848419,38.97789343726296,41.81194881106791,42.61186515229644,38.86444930528155,37.073652935145596,32.95919771865268,33.47366571565817,29.07179219818462,31.164793228550373,29.587057253582017,31.474312889489152,33.50732608507083,35.629048369314944,37.595193808046176,34.502583397183194,31.88412584323774,29.006776346063575,29.491481906380688,27.9555467397373,26.014327160708966,30.622316243585352,29.11063485373376,33.50826932283921,36.16301796058471,39.99344157023003,41.32356116845021,44.93090487948221,46.47767481734009,45.67726105648449,43.25979854668147,39.22236741048047,38.46393780308581,36.95589284439549,35.62210297794887,37.353335670484626,39.60400622917893,43.69634838929658,40.550006069479714,38.725267535074266,41.32386539311476,38.197027810828295,35.843387655206435,33.549352416925885,33.28202976329151,29.061946221031526,29.864205142229984,26.06530263514854,29.08040207757608,24.569586093777342,25.69506723432819,29.340268314373265,29.394775527797062,31.97973079972442,33.3385329970749,35.60597723233839,37.807061484467766,39.37483764833444,39.771156911115185,43.742725224057054,45.87527227110218,45.10775072191589,47.30438216439519,49.78074048227047,47.242976078542114,43.719201969028035,43.38812261813643,41.07057404485698,43.45103940061101,43.26002331937687,42.831770595926756,42.353185662347066,39.63959399736134,44.32818109591182,45.81285847595154,46.86995410501863,47.04735053008584,43.204994296585426,48.54426161417908,51.598387306554976,49.30089017925398,51.92941254963975,50.41378451313901,55.524893027320125,53.30249706163683,55.58175840876266,55.730160534929,52.99320396795613,52.51039251086078,50.344296920583304,50.43191441469973,50.65696192859915,45.909372184951636,46.38301785242976,43.55356507743182,40.79933356158855,42.74907010523612,39.680801632861666,36.87680623837406,38.66773358088094,39.34548209047915,34.585089462705255,34.126620159573115,36.77366771849066,35.581155976258145,30.62915116323214,32.23075912767194,33.36903093098049,29.11569240363887,27.995292472762554,31.650979348885528,33.76965091791221,36.3965060381277,40.385250382515906,39.85166551078574,41.47232721852023,46.64685288433465,48.040838381642324,51.55892699979548,51.85288088275645,50.742714290978086,52.79857740720664,50.30839976962533,55.09712992642136,54.59710207817208,49.1335532389059,51.71816305347226,55.93731773416793,52.50847932947091,50.351142807010646,53.82864978787341,54.78352859583289,50.73452472213259,49.98467236974674,45.926921660331246,46.68133696381129,48.88994665750116,46.63445093986294,47.2795324605313,48.12526796422786,45.24127236217018,43.18877102919589,43.46829811409357,42.070092005593445,38.48386183879133,38.28669367851884,37.81530255722468,34.78069826488773,33.68387061696345,37.64980051167114,35.80532435757468,31.287271997637724,34.68323761173575,38.26808924791526,39.259105692262985,42.407365829078735,42.41395106487928,46.70071071738117,45.01949675074979,40.79980855118062,45.16044498731625,46.93366127919611,43.995319267377745,43.99568134987199,49.77363613874717,48.764155343419354,44.46968550336219,47.4977412886905,51.86410417610831,49.846679206629574,46.630806550659344,42.02525749545963,46.07463125465206,41.964865812067195,41.21998043550395,36.39242229168945,35.74493577410909,30.744330175521984,32.13471626999975,34.65057651681427,38.333515618025004,39.08344033280943,39.36313648311604,35.451343427485874,37.90273558779218,33.635398787741615,31.08607634509136,32.97104916788041,33.60018049807874,31.600061287377585,28.887285962692708,28.788722465591164,27.793947613949705,24.84052677070549,23.64373494237847,24.607297257232737,23.223756708631203,21.71384124856073,23.110681956695093,24.164904223975114],[18.02417638857879,20.38463343632358,23.511904129143012,22.291791355048588,27.065291444557598,21.672010368274933,23.507273681889767,24.344324943820165,21.496075689049345,24.403814503931724,24.368942444172554,25.4964727818712,29.052169587958623,26.877276611078578,30.122754188216145,32.571247143729956,33.47387411575047,37.31121280875555,40.498616825208046,43.346648757609664,46.754181877609355,50.894402898959015,51.607601592971676,51.77185127158983,48.83152282054798,44.655007422287504,43.131269313880935,38.9103201257427,38.26667925761926,36.75368867888795,37.3649556226014,36.89755867654357,38.5551007926923,42.83748296231097,42.26861919455516,41.90875732573889,41.27452847565023,43.73632438273583,44.63489880120468,50.7230277622112,48.57111097979044,48.069114380610344,52.36261850572747,52.96129993610604,55.456027615738954,56.156433509469956,59.9520927940871,57.621240445468295,54.94672936498321,59.88264745496647,61.12087696620009,60.869651164839745,61.338082195284166,55.65491411874161,58.794506658039126,60.88503419403096,56.85171365489445,55.53094022810694,60.03507540326393,60.47999787118309,56.68376714928076,56.62739283353866,53.84337532399891,55.655093301985865,54.20250754245856,50.34845589264587,46.964421046811026,43.2384889832755,40.62675442825691,36.978726434067916,36.54813925002969,37.6661715500791,39.22993600225612,43.81967454402428,42.580071036782286,48.13540292994975,48.58885624517546,50.2021605463793,50.42935595344299,52.83140520775329,50.70040736617082,51.62390472366963,48.81106226324161,50.766035209839,48.83136640302182,46.065960122281076,47.50196199363832,46.52899762013533,46.24548702055402,47.065334124139554,44.39450833013754,45.81763734271477,41.853869688912646,39.19286144732768,35.093535009080775,33.546217895739346,30.015678217332418,32.9672145524861,30.638799561322735,30.505836624472717,35.242946546495205,34.924642803634015,38.67725812741498,37.602628557860555,42.509311807355395,38.55113296167526,41.10555433418004,41.66196139930978,37.71247372977503,36.21163925332192,32.041929874581164,33.026403302739375,28.81648851297252,31.073384955302227,30.061273614242218,31.875307104719035,34.283848225014076,36.29486079313061,38.79393341161077,35.80464819955022,33.11371188965253,30.053194188321488,30.072061776314527,28.260073971941104,25.99184054399051,30.240378335947906,28.28205359123552,32.74499240709211,35.188252422729605,39.24445298143611,40.18301704385636,43.786740945290575,45.54329456298223,44.99108648672231,42.53447831403309,38.65932744491758,37.46361667984992,36.372001356662196,35.27436976382164,37.31065490923193,39.746020208102955,44.08170553848962,41.15848715615269,39.15520466701144,41.88012623593495,38.87369266119717,36.32588529757304,34.03282237046132,33.46829572182638,29.23643587750189,29.70501662985244,26.20209256525747,29.109180961460314,24.731677262883537,26.41953390561063,29.932247525736543,30.04666300220005,32.21082753800952,33.92355713995735,35.629458396173,37.83184215342729,39.85824418638724,39.96115976828442,44.0565923298986,45.84106872500336,44.875214679053755,46.84166505380757,49.19019382198624,46.40419655316462,43.050458125525935,42.72479236259068,40.69181480967454,43.266773533370824,43.23676700833925,43.04857191607863,42.58903818212198,40.22288069959344,44.848656184931436,46.23840244465024,47.061592799351175,47.07153287030642,42.97391953843896,48.15772340632393,51.17370803119885,48.978607814056765,51.96693689665222,50.740069253917184,55.75161396866401,53.529902152148296,55.525839011775034,55.45086802215102,52.66793862147135,51.871506078272354,49.5327802507935,49.43522540094562,49.394747842601504,44.58086856833931,44.888601830429714,41.81308232647714,39.226246425868574,40.85023759920707,37.921515243926606,35.178081150637645,36.583510999577264,37.161719126804066,32.49125990136038,31.843384493142104,34.282715871036956,33.1500200610907,28.136910800741084,29.496800157150044,30.52799694191031,26.385571345722415,25.074629205267026,28.536746167339935,30.76627518840228,33.29269838074264,37.39807875824967,37.00608054707288,38.540039288751935,43.7788576348256,45.07802986998719,48.7192537496459,49.19874822710229,48.26764275017832,50.49911044725927,48.24346486744932,53.01827378830781,52.287810870264,46.93310954311125,49.73594319861513,53.8122050732161,50.283482382235,48.33075474382052,51.95822964898582,52.65585307747844,48.56609982156847,48.210986062159805,43.97037485449839,45.08163231469685,47.181913537932616,44.764655087626004,45.63551170612267,46.38577233743877,43.792117438795906,41.5578565899967,41.56166871406038,40.423137687836764,36.91237292297453,36.319568042747456,35.81896793776631,32.860160812011344,31.50574528310359,35.29926867701081,33.48498255622773,28.873342733332507,32.02403189311125,35.58922913177242,36.57241747791059,39.89137114027165,40.127243132500595,44.332776815878816,42.37729352224679,38.2631374155653,42.79128122078209,44.32679298449576,41.31869957945064,41.57724882631932,47.26566023963585,46.03252179410303,41.865368442781474,45.11306504295524,49.29396882650566,47.124908829411225,43.998504553218766,39.41386885435272,43.33763521328662,39.23970038534254,38.275765043420606,33.59772754784288,33.07115758858488,28.158292581555582,29.525549877762277,32.22114639704783,35.897937485946606,36.865383283933,37.133673258858494,33.569049070932934,36.24947357402472,32.25522340141794,29.33810461110415,31.520640154750122,31.941061959000116,30.35679565379298,27.495230543936586,26.860986775464365,26.073096067549972,23.668134513748523,21.812209752989833,22.421144939866657,21.441676018304488,20.349139247579657,22.09216941742036,23.423539766122122],[20.993629732037157,23.71919575861551,27.249306613125604,26.297461242413537,31.62542492785555,26.890680725849613,29.144647795037194,30.355796140076727,27.70949834958521,30.541703561554357,30.65484221063702,31.939129291105907,35.32991361484716,32.9516866319264,36.335312429331175,38.86716075958446,39.54933836508207,43.33854185675802,46.23335228653961,49.2772674363896,52.53690321277254,56.747496556934166,57.26712102609654,57.26161678229228,54.434698545345114,50.23289029537062,48.881439192001054,44.74000990642546,44.354044229587956,43.03312119864454,43.61965709873975,43.31863898911266,44.97140403108047,49.20540967652089,48.65775041903956,48.18485390396263,47.626835708468306,49.87226146622482,50.64706293720406,56.765779905645516,54.34635274389123,53.959691096679244,58.305156327214654,58.715289404574065,61.05705296813604,61.556279793666704,65.44332801681425,63.327147022579496,60.47286591172094,65.35387305892068,66.84701749004195,66.638358882471,67.26662152047645,61.59791755791717,64.9038716422869,66.97042145175159,62.87093429695063,61.72201628255526,66.22406374242073,66.48508951024984,62.6740418627685,62.70322186070751,59.99089370920834,61.619573296747994,60.11954436654062,56.391178410390665,52.800670764412665,49.214494281915925,46.33704330108609,42.80537148454638,42.12821072423169,43.014570081072584,44.90434333429279,49.511355555420515,48.56961026472364,54.14031081355686,54.72862844537876,56.44226094995189,56.722221094108804,59.110821720520065,57.05890174166198,57.898164301009054,55.13658497120339,56.95650409835428,54.9156327017073,52.28727664276156,53.72221066828586,52.90290191380197,52.50560912010569,53.416106865180154,50.63520666200215,51.93785045928228,48.00278536413658,45.443088513058036,41.37875497732016,39.722450149704564,36.23873009104558,39.37854637437034,37.100824788398526,36.9108369990688,41.702844135729904,41.24836001075353,45.04392266552529,43.757126874222884,48.500585013996776,44.36042304215882,46.7096417728703,46.992922022338526,42.85486022974506,41.69892188874805,37.46505257023439,38.732607821581034,34.64162039408557,36.763649519238214,35.92729822537027,37.43281809108224,39.95443469558835,41.59720064495252,44.19984318572549,41.53208056186814,38.65209146097087,35.69885266452226,35.318101412059825,33.67406333343189,31.52354083129486,35.54847589052657,33.60657726880204,38.041499514540746,40.36142385027002,44.66958467176962,45.09747890091211,48.78371481137911,50.62405545280688,50.43540544784826,47.75341787875546,43.99200503102472,42.23321262677607,41.3671875886362,40.204182202807424,42.554564023935725,44.68312809899452,49.234203053751074,46.52857551194886,44.64245313821431,47.57603490624915,44.797817840325855,42.15328014876051,40.083315053222655,39.51853028955426,35.359107592893956,35.76142964431756,32.4476789660174,35.232060804373155,30.782805976880475,32.74085843117301,36.28762703553451,36.445521283765466,38.465626505288476,40.25463523390177,41.707656979968,43.719782312347505,45.91921805894413,45.644854814851875,49.87850660776501,51.34613885697432,49.96271490731277,51.945584140460234,53.98368554179103,51.028509892305536,47.77366515588407,47.679852170865566,45.90624010260743,48.820876815302704,49.03583306718669,49.06660985751399,48.73234870053743,46.50095240072185,51.15447682820046,52.417683020496504,53.17041741425826,52.94787007269295,48.800786736634514,53.80809069419039,56.72095433125552,54.5197903735109,57.70439082706206,56.56990201042678,61.50239007825037,59.02181034001141,60.946751773086824,60.6655516084971,57.9882517296428,56.94700236563324,54.52316954170759,54.326140894711784,54.01858553326244,49.13265828382857,49.38527697632239,46.01530856887788,43.79847101739733,45.00629375465387,42.36920889572054,39.690342871703926,40.441736348263525,40.936818323313126,36.49518161630441,35.351134227744964,37.46018353697214,36.529777127204305,31.475329462408546,32.21163398557052,33.00622481991526,29.25346752117468,27.40288789038235,30.191444316955614,32.63674524888815,34.8991409145772,39.07910964860278,39.2528414100428,40.59661055266731,45.94488747957174,46.93186224320085,50.91622625580613,51.86162751837258,51.35803538227602,53.9233702286868,52.12030331656354,56.8339433798369,55.67831229575026,50.55471393194782,53.71821164264371,57.486350405212434,53.74917714302264,52.16032769982351,55.98570769602323,56.14650968304017,51.97081060405701,52.2490615680531,47.867176801690604,49.6026723738001,51.5924396265612,48.99020060828825,50.18426754801282,50.74123279555485,48.57779548510991,46.16120769895076,45.713278559581745,44.897249795688005,41.60573750802892,40.46361288919661,39.797532344350046,36.97034764486214,35.33736108248673,38.66226417262643,36.767239974091304,32.13336642356267,34.80003870045057,38.16252647362101,39.25534587245527,42.9102505177956,43.658799188099465,47.66285723677974,45.133641883731265,41.337796109784335,46.15780673684853,47.155875539024784,43.99824321503434,44.772490743308595,50.23364950882278,48.427977516458256,44.508941594273324,48.1879912265153,51.94369420580968,49.322232325071774,46.33737824009073,41.76550909425923,45.147208412303485,40.91597558525933,39.725839042571714,35.432199826140966,35.55368131846216,30.965040219371378,31.79526227414183,34.8754865395153,38.35060316188253,39.88168597034842,40.45415686026396,37.5280275025662,40.625599797557676,36.97311033841102,33.7910293475011,36.4511521939011,36.62053264018419,35.542565670314204,32.55788436516455,31.254991539359647,30.720956469434732,29.044908251574416,26.453610548200768,26.481565929361594,25.989391531506993,25.46095125172642,27.4058801422766,28.835424410763764],[16.710863888962646,19.76279882990238,23.220735468723113,23.485661645623217,28.531242005746947,23.431278230709925,26.03079858304191,26.752375948042182,24.779859015722973,28.31073279090249,28.575442534772446,29.225747796719254,32.95629644348175,31.348392547260715,34.63573034492842,36.79400475584486,37.79981972802969,41.87465445828935,45.28153469719909,47.844750867124034,51.43040223148501,55.410354195011394,56.290305663273024,56.39356004303287,53.28831708504741,49.23241345999862,47.41002714752497,43.16228392290611,42.483133737359914,40.69114278906243,41.7875366221565,40.706662524592616,42.41331188254255,46.91108383181458,46.22031735648977,46.07261466039469,44.970930511257194,47.692145298806665,48.441369068411326,54.30816304762534,52.429956826828935,52.27280943110042,56.501242632901814,56.99539502945673,59.66469782873036,60.255836347199946,64.04528506457288,61.60681164773984,58.72491469903313,63.569875026877426,64.78065747089303,64.34923012368054,64.91052283519907,59.217372751735034,62.21961513466117,64.65932692246234,60.77627342857371,59.44935570598034,64.00454287324551,64.56724183181214,61.0149503091576,61.081894882665054,58.287695190795645,60.38055144883621,58.84405013339124,54.842465498735855,51.80875117654814,47.9876764557837,45.64522737624346,41.99477156798235,41.732307652804266,43.055648739947,44.427794376512246,48.96214886111003,47.43404926019078,52.960781670578136,53.16334758580491,54.617918203482276,54.657557636216865,56.92991115154997,54.44746747848004,55.17810187138321,52.00080504283942,53.80487912999678,52.07430562615134,49.52736355294356,51.366097962370205,50.20451244478107,50.4307010612838,51.189406749923386,48.83260008207801,50.4519671648954,46.441747862943366,43.55573191523754,39.47508265201137,38.068650246124555,34.57942674661667,36.889630119045826,34.22662169133533,33.31157088449529,38.37254658891351,37.259526102741994,41.45900967590565,39.74616441600878,44.53180630529756,40.373084004324596,42.37539272679156,42.820039500588535,38.68823748471024,37.43014970995829,33.475159713140194,35.261274360851935,31.45462640569732,34.14215934246672,33.835630085383954,35.762281782527076,38.499154093240556,40.56627877426841,43.51663857225091,40.47118464883811,37.857016962945565,34.616375583621156,34.37031436310575,32.194169675669066,29.47332656161368,33.18542910075491,30.364850144715952,34.849577865696375,36.827211841787296,40.981359906973196,41.574850747746034,44.94195381461811,47.163604464427834,46.73571429852602,44.56855675686794,41.01602632284053,39.43646939771423,39.03641358868725,38.40326101902038,40.68959722327448,43.50209096525127,47.9966507820478,45.275462791751096,43.00851506514877,45.7169107646368,42.70270341036973,40.029198986324374,37.528122796649214,36.472164425714155,32.19084389895475,31.91664745172025,28.574073176882003,30.792779557134498,26.252799221762164,28.79715520763735,32.36279706663533,32.962949783340264,34.631133402050544,36.99101708470779,38.13012362263172,40.69347782655129,43.23691885624509,43.31434141777948,47.409440653704564,48.908878689599575,47.93781798512272,49.464656829962124,51.760744294631564,48.64690444815012,45.60724156512664,45.14088891028585,43.478424152986484,46.05623339532311,46.03779545452014,45.979934717020335,45.28759052786363,43.33780593559614,47.63655547264715,49.20714813001929,49.66709897488274,49.7923872817143,45.25964784585232,50.29229916471484,53.33915053553671,51.4201859049818,54.85159860390142,54.02729649288456,58.925827346939435,56.94720177883097,58.52290528075278,58.22220725229867,55.29392280277768,54.101651713375304,51.49634918919557,51.053367697864246,50.600494335388795,45.774395125074804,45.63536499157719,42.1972605183415,39.70306652679952,40.60384084156809,37.71238711700534,35.36462158358452,36.23822506048995,36.28036594000474,31.84967035782364,31.399703525755804,33.10737387646235,31.569803795605548,26.970171194968565,27.97037468437692,28.357825514166123,24.38726412533361,23.304006212290318,26.082954219671063,28.76321594381633,30.584656417899033,35.47729859493035,35.16029927461302,36.18007430010017,41.496681901846344,42.27093185860084,46.31207986176366,46.92567648191243,46.4566788116338,48.895982310468256,47.09806429874714,51.913344991603665,50.90973958894814,45.9633889290778,49.07216411362692,53.01087542139926,49.50116962585402,47.94881120493655,51.82568769010961,52.26221152703113,48.20648832330775,48.547275211165775,43.89686223897957,45.334330179951365,47.05815208990711,44.164216981540946,45.16011478728232,45.408371185416115,43.352639603108976,41.176091671904274,40.403097089631345,39.427753340492906,36.388920337019165,35.27872238481659,34.27495739762506,31.407368680559962,30.039829412935028,33.20917945118893,31.106671465363352,26.57132983228062,29.50374769930199,32.77368582541062,34.103485770344484,37.65106771790819,38.466467720630945,42.52923884191314,40.1310757268794,36.568508828635395,41.37808190069758,42.53963024151556,39.563460581218585,40.499654459943535,45.88361479101691,44.3795567843533,40.697600775955145,44.33616511061226,48.0904083585539,45.78022908495148,42.98238245831829,38.584816391763795,42.29783430008482,38.39208773034849,36.75031946478691,32.57756669848844,32.07421515091233,27.46080533532039,29.07613792801109,32.043508843170535,35.6995059527826,36.979875478749406,36.94495684854534,34.04878380015539,36.87921624756115,33.46553708832673,29.79654665999729,31.950414164021886,31.719803993302815,30.646380701330376,28.11138679705074,26.461267581250993,25.510051635328598,24.41387458048052,22.01452007038866,21.285956931001298,20.539187546620937,20.27421755687326,22.215627029560956,23.74321440709114],[20.503374566263613,23.343951694016752,26.44250794041806,26.46402220222045,30.954660267756317,25.112547784159318,27.019712830434205,27.00283171059488,24.48622379176758,27.822202295556732,27.34155354312331,27.63616917992616,31.989231029459106,30.3381816837732,32.93424246284191,35.25951766369472,36.8531937768134,40.618452068805944,44.25156546643326,46.85817794827051,50.42464403599915,54.48417274970693,55.45089785597958,55.891601981395716,52.88074377833663,48.73808049644289,47.038336007478534,42.73309023553997,41.58084397864293,39.56660278061064,39.82450380162028,38.955321276429274,40.10795044488584,44.56786800518496,44.383792943797474,44.57650960293969,43.74664944089411,46.900177661366754,48.05160623645783,53.98104099221389,52.38143004595594,51.70526675972403,55.87446742371002,56.79356946215062,59.497076448860305,60.44455115439213,64.11138748120834,61.50019764571231,59.044539934372295,64.00666323236925,64.89491179179001,64.51728679430867,64.7463913820102,59.060035982488664,61.79018985612679,64.03176593949402,60.177477928017105,58.445577035243495,62.9212491928637,63.80522401821471,60.00769637151441,59.621122379343554,56.58671220169452,58.68613346131286,57.518617714959724,53.49785750168416,50.33010541910835,46.37441125404833,44.13272984998122,40.18943043445201,40.107785793334564,41.12650473648577,42.262047682829305,46.96235708762663,45.33804522640373,50.55415489227713,51.21706079071274,52.34755995867068,52.77879122156951,55.4058416023868,53.057039892293446,54.28264738936323,51.13314942887062,53.4011019484255,51.86357573691645,48.88220107774008,50.403045617779156,48.850587632832585,48.91291495610327,49.066811686184884,46.62884582908431,47.815731606922995,43.770632892118705,40.864703559767875,37.1042825415631,35.26094629665378,32.173034699633575,34.55022354886526,32.19635047233332,31.198753622465194,36.65581049744816,36.16707795825425,40.466266930815415,39.42826685699478,44.68104726457251,40.93387571397246,43.20554126311576,44.15978250947258,40.31276741536762,38.502085654883444,34.74542531388004,36.09061266949836,32.05878039962701,34.82302094071186,33.87521326894628,36.131699330865125,38.40360493927627,40.83293092519484,43.10261109646237,39.7161619055329,37.3160457553617,34.22073668101474,34.7359767263585,32.73780470740779,30.221206742105135,34.41488631780816,31.827496690611614,36.317565895875205,38.487062981797486,42.25643213535008,43.55448882505274,46.79652837660686,48.90816387223246,47.96088512688307,46.10160652768332,42.35627456942191,41.5047795436747,40.667396681177486,39.881236757195936,41.71137019064279,44.53224658737626,48.67554002268492,45.57929646956312,43.42091385669604,45.85229635520902,42.50785081663686,40.112457002583746,37.364095743907626,36.516477820982146,32.11257390274795,31.97201763288178,27.995781033570974,29.994956719420415,24.902038085144117,26.977892020837164,30.952728879318098,31.83376757998411,34.04968956844447,36.214703018799405,38.15292652823131,41.070380035867835,43.063581746325454,43.80005834260407,47.66085549460467,49.74692653530228,49.25208705178381,50.952688295045135,53.56566614892468,50.73743521743939,47.502939458249074,46.873773968195046,44.80938775929682,46.95524222810901,46.559710478940644,46.05362797500747,45.10770881863657,42.70552034133433,46.917633073637646,48.87473782114715,49.56509726399901,50.18146523081252,45.817592930118764,51.16310331978765,54.36574308004187,52.41471550405037,55.41139953684388,54.26541728900381,59.328194244429746,57.57752539000861,59.45938139591647,59.49975976192646,56.51279098220281,55.730929503821606,53.29103882266061,53.01602998676034,52.89570326648462,48.15818740563767,48.07930874165947,44.94518264047234,42.036095404631496,43.27191569825713,39.99379534882325,37.71761411259432,39.249419269957734,39.19212614564736,34.59014617445676,34.772441739085245,36.606028044283455,34.62395898916786,30.334575507712195,31.828659758980393,32.15949463962228,27.888712620853454,27.45329088726484,30.508728685287657,33.157019907344115,34.89441644281238,39.985210325743466,39.27638167801702,40.23693719049636,45.46394868069074,46.197790401654586,50.15089699718058,50.33106998903691,49.664015473240966,51.78861811864853,49.65984758510597,54.58502302372014,53.99601847443648,48.992138830369875,51.77060695746238,56.030302066415565,52.76986045089458,50.94422975866471,54.6498813167706,55.591146102369706,51.63162818366014,51.443147229325405,46.89955831359805,47.66431406495047,49.4064172653464,46.556530439834084,47.07492657305837,47.23069884637003,44.78262940094435,43.067765411269484,42.47194588452811,40.933473516786506,37.96029771320897,37.50419777485327,36.25525148094178,33.198493317593126,32.46182505530553,35.781784274141934,33.41532385840685,29.102228641218304,32.62564866047145,35.83000700880863,37.378972806995144,40.626591928958504,41.18437239974411,45.419952666053256,43.46936891811778,39.916374241214726,44.50853221833559,46.09026787133761,43.300598343991716,43.9813777458019,49.464408900046955,48.395771687125084,44.65124878142924,47.99514769383099,52.00785929103559,50.01798298268953,47.174510477832314,42.792358823705136,46.805480229955386,42.967209544667405,41.44150250266217,37.09570741582718,36.206138116261535,31.408563842303163,33.34717894265283,36.0689264479777,39.832497502005744,40.74128264413593,40.48896412007023,37.07186931090406,39.47685683135213,35.713400976076166,32.31393194336207,33.757457275260734,33.608845396274695,31.817390301928267,29.77957188509181,28.766540955542343,27.160032476953983,25.488025981763926,24.247403432119125,23.653081917020558,21.95246528030122,21.103704210426127,22.44137474525941,23.547237567072038],[23.805333791419766,26.82375603271881,30.135342476217875,30.151057422357866,34.938390250879166,29.339934397504404,31.35400209095407,31.512060717031662,28.917647770128305,32.096432224027986,31.55782020471048,31.98540274352855,36.3045516210946,34.41412012733316,36.98654357672488,39.44705964130679,40.9894317898376,44.638956712323925,48.09744642111578,50.89043621780902,54.33699688810444,58.49008353919592,59.32503378903951,59.732195308185936,56.830945523804985,52.62833780476699,51.10270895159784,46.830295175327876,45.761513240433814,43.86644850363875,43.87289081238632,43.24291869801807,44.26634382757301,48.65003299573432,48.61132080811941,48.77543743822701,48.10985561020416,51.17953435234441,52.34767663195109,58.346152923154015,56.591956041651216,55.84522433298149,60.05235531768768,60.94853947650364,63.54285355054402,64.44498610479245,68.15390004367069,65.65736335826904,63.190243817209215,68.15771092301222,69.15133551563291,68.83081185695838,69.08702117744177,63.40557625656048,66.20368854810853,68.3544157670964,64.44124874450938,62.73180741282047,67.188801993199,68.01275224375286,64.11859428173348,63.6688968781014,60.62577011577994,62.56980253765194,61.4662569079519,57.53993873270833,54.151452299434204,50.26835474330506,47.824890438025754,43.89142592069249,43.65255774089601,44.412111298955026,45.752291514910645,50.51820660567106,49.11606516904886,54.27337017229554,55.17345086906021,56.3125582131405,56.89726800419604,59.61378197864267,57.38592188389086,58.684700020506675,55.60898274484581,57.90114078593898,56.31049266126732,53.30616317350446,54.718914547376826,53.205035422448724,53.09660607307595,53.17945735544858,50.6103330073907,51.58215600206188,47.557592225785285,44.751105136715765,41.091775631084474,39.05616269814228,36.08537678253767,38.699930192444114,36.49560042636724,35.54782662783411,41.062115599541336,40.68955336213522,44.98602864082488,43.99641182152339,49.24036290724303,45.45960415408405,47.691046760264705,48.56572192408112,44.648186601286675,42.949172119087926,39.152003426425786,40.538100013905854,36.48533681985313,39.132816475635195,38.10276728785668,40.20591244498499,42.442471420339785,44.69659233388477,46.85616922743149,43.615019916597696,41.10605719920778,38.117232794733525,38.53748279617634,36.71449350604118,34.34711400413298,38.570372330372926,36.111921683259645,40.609936209402754,42.785756076374554,46.66219668732253,47.77924680913402,51.08167407486268,53.200594370003394,52.38495757657313,50.403826420688304,46.65488775389443,45.59051868651621,44.754672079908524,43.844818719175755,45.784839874081,48.37555031423259,52.59435895307277,49.5366360160142,47.49901822056414,50.02949392349633,46.7649483807215,44.361794529418496,41.73494993569704,40.98005211548582,36.596210927219765,36.523961680413365,32.55934516346893,34.519902451469484,29.339610630075548,31.403283378362236,35.444457679561935,36.341865046140384,38.61035587660399,40.71844468783208,42.69317499487672,45.51361003400996,47.47087057925312,48.0818442894466,52.004312457721035,54.0267882264293,53.34301007487643,55.13529436293922,57.61641033543554,54.74841101915596,51.50229559810764,51.00689851157114,48.99672375938996,51.2974326272569,50.99229510125248,50.5337243093654,49.64434982940743,47.20030051715532,51.448476760895716,53.38324317682018,54.10739134362896,54.65630567433111,50.32206450708256,55.63288597497111,58.80163677198207,56.81368317835097,59.82246147353356,58.63404353565512,63.69708784305589,61.79434454231623,63.73372210849181,63.7258937555416,60.80343826258585,59.97044277338156,57.51986576684176,57.23529994509091,57.03034906708701,52.248136936452156,52.17318379181701,48.91337598549643,46.158960583508694,47.22515618431377,44.06190261674887,41.81006300470628,43.060978988138295,42.9581198259929,38.45443139324915,38.402469516509264,40.086620694619015,38.172205116911044,33.87530080830237,35.0655508020848,35.2547436039526,31.17403236669981,30.477352211001683,33.17707161408676,35.95819044911739,37.52276325466403,42.7025651519726,42.286577163248126,43.119603784666154,48.40716548363461,48.91806528986483,53.09180783594248,53.49250267603568,53.06922602208928,55.350835089842356,53.448522669932494,58.35764171208996,57.57509418793698,52.69824606782779,55.6468011424165,59.77603388104251,56.4214197011233,54.76567497641255,58.56592557206556,59.264525602932764,55.256677426377266,55.35185988520691,50.74467455781591,51.780699567933134,53.47500606493821,50.525418244860504,51.16246375987579,51.184917539198906,48.93050478378629,47.180963875524874,46.344567199696556,44.90848034547197,42.0804640988288,41.39748150920185,40.00913791237712,37.00889996066637,36.19600091329286,39.24414132182724,36.77945449212542,32.50016363232383,35.804245266838166,38.858566324448276,40.52395588769689,43.93667744271491,44.780007106606384,48.918671400768616,46.67750738012444,43.32706017408321,48.071413497025524,49.387585673232174,46.53040178578954,47.48709924137341,52.85790027359146,51.49994889062646,47.88781900709083,51.45458013411852,55.25810671495971,53.032732015110376,50.25815169935022,45.868236565212364,49.6030914711384,45.67471026135863,44.040106874705586,39.881005857957476,39.334833261845134,34.67430631704458,36.32230069025756,39.248026223707775,42.920507068117736,44.115037065282664,44.03790022289533,40.88771539124697,43.49584137948146,39.83249106634072,36.34826117183689,38.008454631177464,37.754406648291855,36.149919640881045,34.068408808506994,32.78742404174153,31.269160496005714,29.883055346574853,28.343274084221694,27.506854091293423,26.00012653187423,25.38819544681487,26.76968604645524,27.846966856544658],[21.56402774712918,24.756321760062423,28.266192651527096,28.67001136594429,33.762258939994574,28.62815178506747,31.130822367277815,31.655958271092963,29.50201330067528,32.917068103038524,32.84743257068788,33.38421653661017,37.40915769155218,35.652132761503566,38.64232053160621,40.95644481559254,42.191326104612465,46.084596269179585,49.476422936712645,52.18585074896652,55.69533990018691,59.77295319273451,60.59642703973254,60.80164436643095,57.796911028642505,53.66423671522019,51.99650691880633,47.73984332897819,46.92939821211726,45.09566936098496,45.698834964005535,44.80783101888606,46.1777622969668,50.646520738079,50.27593075164635,50.28532532248567,49.359133956074764,52.24163799274033,53.15085079787293,59.07304351202446,57.21477768633431,56.84418270238172,61.07732377620733,61.70924042168987,64.32699042257632,65.00093260124022,68.78386172245759,66.35749100400258,63.59473264096892,68.48138989391424,69.65583199991933,69.26435433558368,69.73473988607176,64.03853193276831,66.96793047474748,69.3127481058154,65.4161988007394,63.93744211751599,68.45309967745703,69.11868256548019,65.41525386041977,65.26310708684574,62.35052715555246,64.36347741613051,63.01826428565422,59.0586235516627,55.82674784377856,51.986252996098365,49.54271050502757,45.7647339495443,45.46417269736922,46.46804373404872,47.8987679262692,52.56634780104634,51.142366130662474,56.50176981627512,57.062278715737506,58.363931909788256,58.67071316838933,61.15442081323106,58.76499246020148,59.73289839033237,56.56173061249985,58.558843295478646,56.89796385140095,54.18307910954158,55.86644634433644,54.53511554076427,54.634968653597774,55.066263161868655,52.608655335328834,53.89770488979421,49.87041380168368,47.011678663017,43.141256461782305,41.398435577027854,38.17056893357134,40.61912851391767,38.15009245798892,37.09623808539925,42.46252822024423,41.57471260926761,45.90983988307643,44.410925114092095,49.37323038974199,45.324277630252766,47.297128687642605,47.86832874893195,43.768860050656905,42.41985429347463,38.56455943347528,40.33895383616252,36.485415771774335,39.1745099454527,38.631203784417856,40.582015865502655,43.14674107540657,45.22197081819598,47.86705692718127,44.792056886723906,42.17287425478652,39.0530180285167,39.000900588277815,36.999774214574764,34.4291341189818,38.29320693735208,35.55139422521614,40.04171042464428,42.01892261350828,46.11768298435974,46.779664355218415,50.09692042742924,52.36633221369402,51.86390835761042,49.77268923766676,46.19964828887084,44.66398056454844,44.20362454999139,43.47052758063488,45.70652782074567,48.37540655211203,52.82581577542393,50.01314185267565,47.855700500173256,50.53884936826994,47.45080267191897,44.86270023022117,42.325646131998745,41.35682251915563,37.02466735347084,36.73829093635688,33.14454062724622,35.105265348719584,30.189949886534205,32.683333900948675,36.51258377341314,37.34456371456943,39.21921188279274,41.5648748495183,42.985637699580266,45.68255177643988,48.05336583155473,48.293063346211156,52.34896209112522,53.98667002635066,53.04088660693241,54.64440968555468,56.93897068293426,53.84839383139661,50.77703390402171,50.342177242540735,48.62905997351428,51.16585317626469,51.072178423106834,50.890150147921545,50.09602804926996,47.98871818892421,52.22768706106768,53.97955610079139,54.50007663833819,54.7958177450439,50.27891183404144,55.385220411925914,58.471176241440034,56.55789291172275,59.90212822818053,58.97778509321009,63.92892519696076,61.950810439325345,63.62958399903202,63.380907145626345,60.46043423251494,59.316551472614364,56.7212277772512,56.27333635972409,55.80083911769509,50.97609516607843,50.7792516666242,47.29134797532053,44.791768330418115,45.527160179152105,42.59486283817701,40.3930556295939,41.17835812861614,41.02008236131221,36.685838440061566,36.33842894250292,37.7920725947443,36.04486346037959,31.71220222390865,32.55192113794688,32.629125775738316,28.796192266412618,27.816427152503973,30.17605048229216,33.04298677777328,34.471959495786585,39.673545713140996,39.49543831101404,40.239475995619415,45.55948785631525,45.9709978809672,50.26459020575571,50.93311329949089,50.72202801337971,53.214791070872124,51.59928789024674,56.440349800822,55.371104870574285,50.63196209128063,53.813699619166904,57.72231690728698,54.24594949240404,52.83136507165495,56.76517726806493,57.12542495484474,53.08674292825072,53.61684733532794,48.883514627561546,50.35088760213665,51.95267609790705,48.89311499483419,49.81542881352669,49.78524295281982,47.86294677373471,45.87675909803988,44.78761046909802,43.69884660333235,40.93948705239082,39.804072818745226,38.45042066759858,35.585469994685646,34.44273249080757,37.255658661223265,34.88468778989978,30.54291766311728,33.454294364251815,36.449984884087435,38.06438385841192,41.66942262695839,42.7726215382172,46.76657861208389,44.19500798291464,40.97969632626304,45.87484965223295,46.87379316227941,43.937225336052656,45.172724594221876,50.39719394602007,48.745291283416854,45.292309522359425,49.08463878829484,52.637610779055585,50.21363773401823,47.54911011127371,43.21550357615232,46.711093229308545,42.81212481079728,40.98115539494,37.06108460698911,36.74083350452803,32.28942755043275,33.79054417401539,36.875278191779046,40.455307681397606,41.909500258285746,41.89033848910979,39.1743678781618,42.02623988036492,38.67932048004908,34.92733478532502,36.94664679871151,36.5248867081787,35.39907415215454,33.13385020389286,31.33689501748029,30.13493047126935,29.298746155951783,27.083553374406993,25.932474094714937,24.96593383677026,24.812225632563614,26.521344462367363,27.853026846662186],[22.444787462814777,25.867433895418436,29.3065398778852,30.661463470116562,35.57612792695076,30.401633134457725,33.11583515682416,33.2742899071501,31.581912948353004,35.34640483600019,35.26800006843805,35.34591233094561,39.64753492194178,38.33422279122636,41.13487520093497,43.24871334931551,44.75270633405285,48.73397716944778,52.4032165184263,54.861588693981844,58.525918878899475,62.480452804226964,63.49755506015206,63.78912495269915,60.66156269984755,56.60798463179033,54.71738413612033,50.4185978082449,49.39993803007904,47.26395832485703,48.00810555964405,46.679198511809346,47.9250100169674,52.53158800088046,52.20583619807621,52.498242104698974,51.2756709439395,54.512254512311735,55.44559760892696,61.18683799789273,59.68874096247178,59.410691451921146,63.554736369208086,64.26931094904226,67.06205551132781,67.79849852383035,71.5141321701568,68.90832217864323,66.1543071812848,71.00899407845723,72.00399813789073,71.47952148658965,71.88551996460401,66.19454962606703,68.88430210055844,71.44942711180747,67.70529480025932,66.0689477649578,70.59139613779838,71.48559350216088,67.91617339833196,67.7117350804086,64.712789623375,66.98141746187557,65.6910670251973,61.58958921660937,58.64249870758204,54.67149375999521,52.521700471390595,48.64927789802227,48.574450457417726,49.702321462354384,50.85325442443322,55.50621689283495,53.77666204834934,59.007426570689496,59.47224631521967,60.53229707487811,60.78946607174583,63.265401654871596,60.62740744761858,61.60183602179706,58.15056283028211,60.1857274574776,58.774405274062055,56.08646228508262,57.987112656316235,56.36838713567523,56.84458684994914,57.03518816930476,54.83554145872842,56.17852196338952,52.11759994437292,49.073542892313746,45.319581500139215,43.60431835551321,40.523864903950205,42.452663206825676,39.83054905859147,38.18561459273507,43.83241889250131,42.541270045751745,47.2016581047067,45.45661653074838,50.44861275703746,46.44364381898922,48.077421166785484,48.76936793243672,44.69914734802487,43.318732382843024,39.758729988433984,41.934425651247246,38.33626519631685,41.362301798988284,41.119614865809744,43.294015386240154,45.93673365099199,48.22328496578467,50.98914505671413,47.7180543530083,45.255308972114676,42.030022593504206,42.074576332269345,39.83776953718127,36.997407632197316,40.630192593480515,37.35437621596281,41.81561797807348,43.49855295962526,47.460885111849,48.167526073441906,51.206931423401784,53.78138850932596,53.14467214010787,51.44207234547612,48.063351246572246,46.582061189734425,46.47073971904374,46.05628252837023,48.27112722951869,51.27928058106124,55.695785258938436,52.88556415113434,50.543051175555675,53.08322778991579,49.85891395796465,47.28619178775712,44.4930785359801,43.22487154951036,38.85004094771784,38.066512942064854,34.4338250084972,35.79326950030269,30.73100193542935,33.62685475132954,37.53024236325269,38.78987750356397,40.44743523865275,43.18899089687258,44.444432406055206,47.5383424807601,50.09514943789392,50.582331444684215,54.521967896637996,56.17202635532716,55.454316785611994,56.758320759002544,59.16392532852806,55.95244941358167,53.06065143287915,52.42242223660285,50.82918457724576,53.15564091481396,52.907406978718974,52.64935853817594,51.5751165405621,49.64854309286987,53.56809849896919,55.59549321677504,55.90641314202439,56.49121579743257,51.71853872950859,56.8026664930657,59.966578998794084,58.2759945178707,61.78477119126054,61.06896343313019,65.97439632185801,64.32141207650726,65.77139371545053,65.49272658948009,62.42467879158903,61.14661452343463,58.41847390742061,57.76863533547629,57.12866961855836,52.37150367806263,51.84385800606645,48.25386743790081,45.648425747397354,45.970539352763,42.92271817949415,41.094332651822214,41.780323515543486,41.15545113185187,37.00619816415081,37.14064077672658,38.064212282849354,35.808831351288475,32.06879675258719,32.875313558946615,32.415667087405815,28.683880847159234,28.278280338813378,30.182726821185597,33.298984880653926,34.07693277453073,39.91971085203608,39.55645768889261,39.839986498460114,45.080350057413725,45.036532741421546,49.54528413949352,50.076006685607155,50.132238679539014,52.600067103460404,51.2037851550172,56.081315973150694,55.0133293888531,50.621566032001276,53.84558594243043,57.77193574903984,54.47480634248528,53.251680414641264,57.26377800591751,57.678915922007874,53.75747001368076,54.55911397288746,49.596290292464374,50.96819026693081,52.26163387869041,48.880358027337316,49.668607721560754,49.20230123959129,47.55605528465982,45.8444286665535,44.24249500045766,43.051197411360846,40.73512795522558,39.51041370285321,37.68111768810073,34.872380113255694,34.03281253713495,36.35485832063562,33.68832999622367,29.646150349252547,32.57929596583597,35.224029878786595,37.191960425535896,40.75435624349556,42.16986371342082,46.07268802518195,43.417927662817,40.70100111198776,45.62509189413868,46.53553249309294,43.77131491810901,45.38638930584017,50.35409049634444,48.753927642615096,45.703487855667845,49.58991593117064,52.909662138781684,50.59546822596098,48.20443095565528,44.09241355774212,47.576584581389234,43.94281893908956,41.657266219154884,38.09938760161275,37.54332071700923,33.31443424018662,35.18965696462396,38.26835169802665,41.84795744871836,43.29389621258452,42.89668020573231,40.45889019407726,43.16799453990201,40.14202837954313,36.00934703587237,37.644958585269514,36.778550395805894,35.76822124096033,33.98893926718334,31.768668449923652,30.201293852337624,30.114761907667365,28.05201582101565,26.043405570102195,24.895814796002753,25.127704090071028,26.69868943383717,27.980776608016054],[21.736294513200754,25.25346880181038,28.74868087639191,30.6421784056848,35.670528358877945,30.971737423889543,34.057960759213984,34.427797708208125,33.18156350338363,37.119469606078745,37.378213457401245,37.46300457072575,41.54728777764857,40.41493344909305,43.462115576752794,45.42229013064876,46.73327894100744,50.88192116977039,54.52719739157191,56.868156661752636,60.589220812404996,64.44922359572898,65.48529460598843,65.63535065543884,62.424200229048125,58.456432953418116,56.42898829149596,52.160484545013205,51.307302654710455,49.18067306820443,50.38417180053659,48.80063046922376,50.27336819645502,54.94127776631194,54.37754653986425,54.600098762798645,53.137766205660796,56.274409495925305,57.007658745378166,62.62720036203934,61.121570357615646,61.150207129511635,65.28091108036661,65.8026375381015,68.63223126131263,69.1984903177396,72.94456562009543,70.37237220220106,67.39990379744344,72.15904306938079,73.25856430307182,72.66357574309899,73.22560528416365,67.54901446303042,70.28684257989019,73.03302289020658,69.34398203153754,67.8609054628266,72.41830647356309,73.23423216781848,69.8414129744053,69.8582767051853,66.95067937521787,69.31407704434606,67.84885183901439,63.711328357754034,60.93972758176881,56.99562126731996,54.90258608693336,51.14538437849383,51.06125888009554,52.37889960320703,53.54743314827178,58.10983700321055,56.32223885358802,61.661978860893925,61.85939770711274,62.997092481475065,63.03533902526298,65.32312476329874,62.529690685593195,63.24474979190999,59.684832614594235,61.48315402651552,60.07128515193613,57.63067896901705,59.769424231963775,58.249483894347385,58.945394638538104,59.357212284451805,57.291717827997026,58.871095982251276,54.81687182718952,51.720659202331696,47.8520474527534,46.35846735679972,43.136890940477045,44.85777981315852,42.0405811107435,40.2387000315625,45.76728909928279,44.0216549644499,48.730375447682675,46.553426656714386,51.28028136491165,47.10270966812752,48.43778226192483,48.89516731334358,44.71826450551142,43.63981304439056,40.13942042499535,42.68723629880311,39.34348498497204,42.42887806751801,42.61730462396715,44.693501050233166,47.57501246582059,49.745642978438376,52.87933082251184,49.719458896413116,47.217835457676344,43.90521972579742,43.61490605441433,41.22762116969056,38.222061203834365,41.48412665638699,37.920136203649136,42.3075936711656,43.74578912101839,47.8214960472219,48.1513695755582,51.11516658912413,53.862521866281554,53.462832854992364,51.7648114267669,48.599073428365735,46.75738398224477,47.027705106407765,46.8223352490974,49.2466070530232,52.35587442200942,56.91678664567825,54.31496623992874,51.86281376011314,54.477098029396295,51.38695857895602,48.69442151801297,45.948563649453796,44.47195733807869,40.17804096700592,39.14461931797612,35.8459803418777,37.071932079553825,32.27841295659236,35.51503815896628,39.21847491273116,40.48838282746568,41.78434591910794,44.75325278785592,45.53509237409999,48.578656275207365,51.474523451536434,51.71436115536186,55.708683041848175,57.044575243322754,56.16637437261986,57.248883001715996,59.50884067302652,56.11002471298206,53.42121845763629,52.795516206390836,51.48093972034965,53.93756452422846,53.83030287543241,53.77945257424258,52.73389615746497,51.11937123419658,54.94623784586829,56.86901370096692,56.97479927953937,57.40961934995309,52.47175324436476,57.347815371593406,60.44091150076814,58.8680790648009,62.661877942826784,62.20265288623692,66.98559006685096,65.34169172679411,66.53067631325706,66.05136012830827,62.9718987627769,61.41737072007927,58.55735663529337,57.73171501691817,56.831781327518065,52.08885424277715,51.385930427376366,47.60608585522577,45.22283124098234,45.15240934817692,42.313421730591855,40.64116102230298,40.88236066333966,40.096243941645795,36.20343273864234,36.192790694173055,36.75197067277512,34.54627792273298,30.999250094020535,31.45161237641693,30.735400347981663,27.34746802239612,26.849396142736776,28.236216478055454,31.458800675662587,31.895809568905047,37.882392451559944,37.69881555024974,37.76219607707513,42.9668203040743,42.7052878829089,47.355495419060816,48.09725026816686,48.42487302866367,51.06554327227284,49.996855210593125,54.790044570962515,53.46735665910914,49.31907964187602,52.7407151947758,56.44856796498713,53.106039945401385,52.15550590309442,56.27978748675653,56.403370535567106,52.50846569532696,53.75544643925261,48.665837543976785,50.382442591145576,51.512510051677054,47.98218203094358,48.98551781588865,48.369748337143996,47.1004453680645,45.262148193005274,43.323566458202336,42.43241317145849,40.31262700657177,38.6744004094954,36.777709074259164,34.15108390890375,33.10047327796613,35.03180313805641,32.40991049148557,28.46535322670534,30.969390504011457,33.415115267269485,35.41414113016359,39.11081207035916,40.842582277366475,44.55029003553892,41.58298869944814,39.15785690335311,44.18310910588744,44.76549182183722,41.996821133128805,43.95833343424716,48.68297422767082,46.833881416107346,44.06417324539362,48.15001773479712,51.157826349330946,48.70220148504659,46.50307216554593,42.53973248792432,45.76960809249225,42.26716804517984,39.6952650426468,36.506018921080845,36.10395930030356,32.1993649586062,34.006398674570406,37.177751228096845,40.62497233704066,42.28540351442875,41.84985941476922,39.894813906894,42.74821425601503,40.104808594105556,35.71766050918281,37.54652377444945,36.442106671961156,35.88918990354906,34.09687910400233,31.372968990712863,30.028469663772167,30.590226538697678,28.04452968927115,25.597108381837966,24.923423890754595,25.629547197326186,27.401461167146614,28.830520839090664],[25.17193241305831,28.71720157746706,32.19502986813948,34.14991481968182,39.14319969434925,34.340910809415604,37.337468248742134,37.54224913799012,36.199514670625355,40.10348013741733,40.165044703697404,40.13667416267,44.41640155058142,43.25369483825248,46.10731087811603,48.12683143834992,49.610753158888556,53.66611315821554,57.35424892533558,59.73648027819503,63.437345197194816,67.33883539947874,68.37977614488584,68.60910167689197,65.43736405417587,61.434384460260155,59.46480154449721,55.180114405878165,54.207519020495155,52.012179711130386,52.94218373204422,51.41556692152127,52.67597313765106,57.336824359324986,56.965353897984905,57.31819274296811,55.92560650486826,59.21042106252754,60.051433604305466,65.68877615462809,64.26232158718787,64.14919397643826,68.26724849214152,68.89610720456129,71.72112630871668,72.36529861980804,76.07823348747948,73.48470672470856,70.62628085125881,75.40393091745061,76.42923040294681,75.85340470710747,76.33001851499738,70.66525660664254,73.30651735129219,76.01062273828637,72.32237543741054,70.7118632940587,75.27003681335302,76.19423898246421,72.72531704694225,72.584643936355,69.60013126634294,71.95009337847314,70.61477505291097,66.47973224349441,63.63374552388347,59.658891248851354,57.56596418060244,53.71751544708542,53.6544703627021,54.82210131376566,55.96564846127323,60.601402155310545,58.814642131447,64.02941291867877,64.4185106821677,65.42825235493498,65.61549905109027,68.02607522223471,65.26151938565299,66.13109839633168,62.54007283911263,64.47241768140377,63.13897775567121,60.586630174075474,62.653540475868155,60.99309639100811,61.65722787145213,61.83945188851758,59.75657828948405,61.15113727534945,57.086434047252695,53.98571383754033,50.25901554010261,48.58667170704699,45.533633337696635,47.2634134834814,44.54669351324641,42.622619942159325,48.33052792249893,46.701287775278594,51.50263822513141,49.460486285140504,54.30188050078553,50.224035514383814,51.538140965961574,52.11211910755466,47.986224714702985,46.8143535240366,43.40370231118114,45.93077922738178,42.561641966189576,45.68427674733543,45.735997350087544,47.873479557676426,50.65576514365732,52.88176357334922,55.84706320524112,52.62404862226437,50.14746814150041,46.87707114900123,46.74011422241567,44.41621837765486,41.463210186139584,44.828647856668006,41.280653513616066,45.67681683929081,47.11197705689172,51.111756014168044,51.545416663986536,54.445097038038085,57.229729210557664,56.73396762037624,55.136917826840495,51.95167677259166,50.20677448819396,50.434192466340704,50.197980618632414,52.56569422972514,55.648188421792774,60.164004209816426,57.48987016183475,55.07093978328693,57.64238744136518,54.4745301704649,51.840299524086085,49.031733482180954,47.58480873935181,43.251772507600045,42.1916208747532,38.72846697018723,39.77298278143589,34.78892464654477,37.97519409029613,41.81936987952223,43.2495106903967,44.65979410927421,47.6361508306796,48.597851667030916,51.76698642874257,54.556115468615666,54.94844023290313,58.89750639868744,60.34931647117814,59.54324468089522,60.647718612521366,62.946387444752546,59.571401715872625,56.86558978014114,56.22120091551189,54.85636815931246,57.240787232175876,57.050333252640414,56.89641522029356,55.754007705988464,54.047603644235195,57.80399935613841,59.873577999679824,60.00313563702093,60.58985374343629,55.647716172705096,60.580741465797146,63.714712145673225,62.165567769202,65.89660810386411,65.39153154403033,70.18398883179209,68.6068244826802,69.84727187937885,69.42472606445004,66.33036862822969,64.82168808248653,61.96650350397699,61.1338802870069,60.24214356753344,55.52162664887063,54.76753254650961,50.989989957715224,48.55815105720321,48.4063238555876,45.51101322819548,43.94824399841969,44.206261535793224,43.28343097697308,39.45337988915434,39.584995070765736,40.0039270659414,37.63329138069685,34.308547191147106,34.739524591312964,33.84959177286096,30.542526609832617,30.19788117880847,31.38671253268566,34.66240069697057,34.85360495628763,40.997751042932194,40.826314611289796,40.70720395554033,45.84591743810173,45.31673207859562,50.092816555842305,50.80987909307672,51.28094923059586,53.90131379727629,52.925808753261215,57.7254686747095,56.41276711051083,52.41940501559719,55.84255880671254,59.55575433492407,56.28132050867785,55.395490290513436,59.53248007606362,59.67281041058187,55.81548296593906,57.12914154761289,51.99882374572314,53.65170495674166,54.69146980140043,51.05973069357652,51.965083160902495,51.15856605472926,49.95546741789775,48.29088311176737,46.17262857809737,45.16686658913894,43.249218698424215,41.663233210167505,39.545382865581324,36.93299209548173,36.08764064722072,37.80036268559623,35.02505935016169,31.284007841898923,33.80373418036777,36.03500208450778,38.21014308809881,41.856983242125594,43.726092198208256,47.37721450885954,44.378691557986976,42.201063828503464,47.21191619331131,47.74222668236879,45.047898351336,47.15579199798934,51.763394168433315,49.89623337216023,47.29041651862324,51.413807130461464,54.30845493676845,51.84997884072318,49.750332062849,45.8545786986782,49.00400366642896,45.53902920347025,42.869506499687404,39.82649802904999,39.45257885074232,35.625298493534984,37.429665733482075,40.624637249541934,44.04147776520283,45.73464468833873,45.26044443518485,43.353434963785844,46.16230450410064,43.53406636117981,39.122958520143065,40.79514372373875,39.584061005910975,38.95625460062352,37.35935233037142,34.625926189011714,33.09845039494184,33.746955513708855,31.399862999030553,28.794608842956087,27.915222885760695,28.599321431986276,30.202337672417,31.505658882871142],[25.493900007894847,28.89561117025874,32.45304444629508,33.46056220218001,38.57378080371254,33.5397618436936,36.200054745212434,36.54785428618179,34.609611406597395,38.15602338303777,38.00140812946266,38.29203443879941,42.52677042916384,40.91478572863865,43.73326873920513,46.00865013423736,47.427372142113526,51.29686198607643,54.77963932697338,57.440126500233724,60.97599258227521,65.03995593697088,65.90435642236038,66.15657233204807,63.14763694943912,59.027782237681265,57.330049977007626,53.060839408510745,52.140719397478684,50.16395146513991,50.66047130048737,49.63333047717,50.80761065026327,55.32700579496737,55.10574658713093,55.306959244505904,54.29771360920289,57.39138931142458,58.34637893109606,64.20130829873625,62.5003282888537,62.11676983262461,66.31297776837732,67.00324943387993,69.65933197918487,70.35482095620453,74.10289254730625,71.63920043777732,68.910058353183,73.76558774136299,74.87014380501644,74.45967641268635,74.8884384104056,69.21149773752053,72.00268839478304,74.4172293296858,70.5768390550244,68.97330220406265,73.50823720666321,74.32462631996488,70.61821512029229,70.36274437444393,67.37061158881744,69.4638996649991,68.20985277166733,64.21134453307438,61.015723333712295,57.12735660952124,54.76201136986657,50.90779272551746,50.67017236804519,51.58059283412941,52.94032013250427,57.65139097448476,56.15126247663772,61.370893176882774,62.045555847648714,63.171645569488405,63.563105165372384,66.11879532769102,63.64762651969001,64.69108871674229,61.3738118075742,63.43503461121818,61.91782714007717,59.18466192403484,60.932908094939236,59.414407766513484,59.64724755148626,59.83833779756832,57.46601823729579,58.63057274042455,54.587171914705465,51.663712083390436,47.9498279171366,46.07847643146305,43.04080498870306,45.29304877305128,42.82635249125241,41.40117631818566,47.021177984478626,45.96976005196051,50.532139952719064,48.93380391491911,53.928158238863276,49.91373156038444,51.645458840431196,52.266849163048086,48.16085796846914,46.841548502389166,43.1712599889866,45.211371051854094,41.50251088957859,44.347653972327706,43.91721502454459,45.93876160341714,48.51451258233883,50.63838924754535,53.2713705233582,50.138217220633265,47.562912035687454,44.43956411904337,44.426937969662674,42.38574550319934,39.738914062166984,43.49262901359849,40.49499782941722,44.967367839677216,46.757563058380065,50.81205265370679,51.4130300639632,54.57188916805478,57.04414422182062,56.52048555769482,54.62461811834766,51.16805398262807,49.56334711136125,49.321072908528734,48.71793627289997,50.99357748294255,53.74115530363592,58.20457021845234,55.40793425433002,53.20585282157084,55.8478988734723,52.702607226132145,50.12921545428165,47.48380559969887,46.3827122145199,42.02252890585022,41.46072509194574,37.805090260162665,39.33377632019993,34.24990909739382,36.954717418919536,40.90124569031513,42.0458128001006,43.84291760656828,46.40618137383415,47.785573228097675,50.70405351424126,53.15322137041285,53.50819870768922,57.517563153032626,59.143816808212854,58.24403197161957,59.709674361375235,61.997394023616074,58.80911125962438,55.85045888974815,55.36337965024515,53.75488545076635,56.23545965957744,56.08119358476205,55.859021118630196,54.89897654834472,52.86140360194016,56.90980767118221,58.854778635996205,59.26352716544809,59.73292119504727,55.06684229181805,60.146698723086836,63.26899583767909,61.48321308886519,64.92891064871175,64.11192845131897,69.01254213995541,67.17387171261392,68.74763438169222,68.4602373070598,65.48764238181074,64.23076387010128,61.543279491503725,60.95691634022621,60.32616847077045,55.52974527949206,55.114050271920675,51.48901100009272,49.0178951257494,49.36436020187811,46.43343404811427,44.510843289679755,45.05714885968142,44.550498573715466,40.43153921891982,40.27046500386396,41.25647652000562,39.217502470266176,35.32975289443689,35.94333092065757,35.558367282843264,31.976742467781104,31.23144963746948,32.99423867624508,36.07915982287613,36.91947571720892,42.56523001209825,42.47483386045158,42.80035154182324,48.05874422898374,47.96042644329342,52.54996630157022,53.28021338494524,53.436285418014954,56.00794217066074,54.71031768415249,59.54907245281059,58.351056795008844,53.96655399247802,57.28170918700634,61.101536943720426,57.698044398745814,56.53874466127763,60.58001962527119,60.81358798185922,56.83550558302397,57.74266437811477,52.82609767575894,54.39235215685152,55.74670568515749,52.40489134517678,53.29975720170329,52.87254602432827,51.26793349110729,49.472280415206825,47.87581657831207,46.774130195878804,44.4336003688932,43.115650377603885,41.344795247962296,38.573029556083505,37.61930883181419,39.88972961554547,37.26725874043024,33.21868590229802,35.96760814551178,38.57213766485149,40.50164110211653,44.15058598395315,45.65948403946776,49.496391554564255,46.68296740507584,43.9885295720167,48.96973462599662,49.71680304801068,46.87404236123102,48.55940883793458,53.4964701262017,51.679646502944806,48.628225958129235,52.62275603619302,55.84553970530016,53.33667630203211,50.93178364201657,46.77164487671821,50.038299543304106,46.27559130322879,44.068989301487434,40.570330668096446,40.33538896047568,36.16477830668718,37.7050551404647,40.90142730217379,44.391537277694844,46.0245950018054,45.871014638578366,43.52364614778584,46.39223634937692,43.32062857936846,39.292453673083195,41.15872696656082,40.37749571542647,39.41883973296356,37.479478099224316,35.27904564548656,33.874029907662226,33.67056974972779,31.444837753536365,29.62197535961638,28.609254096835226,28.790209275859564,30.388948633793046,31.648360816227736],[21.957423626481138,25.30415915019903,28.98199850058745,29.900835812521695,35.26130200912404,30.767924920079995,33.72965308867137,34.58865546272234,32.889485433380315,36.44962749073629,36.76136418644043,37.369474134832,41.1256498366708,39.47921642295293,42.77056176551436,44.96051851921279,45.93613482018989,49.98989839394103,53.277289615101445,55.926979557060754,59.45200340267535,63.460962777770746,64.23714149302363,64.2508766641299,61.19900921285016,57.145387283453154,55.392288344981694,51.18358892145682,50.61449792286184,48.85040690769976,49.90508916033639,48.817230043111934,50.41864122094902,54.936505639983444,54.33172958665026,54.23016924762098,53.09657491766563,55.80903295852563,56.485656979314626,62.31182911248638,60.356675080969204,60.31522523919268,64.55601945412346,64.94150871475271,67.54396247432136,67.98745148592346,71.82334377609037,69.50442797284308,66.48170600609475,71.24901927278297,72.60439253714559,72.18586752288019,72.8586181219467,67.18368565360434,70.21494153171251,72.71277551626157,68.84042946790294,67.55192009742768,72.1204905569961,72.66982661653108,69.11004725529126,69.20197188589134,66.39649812364132,68.46050041335634,66.91856345466239,62.95728370490171,59.834330261227414,56.059060058162764,53.59788223105745,49.96595970110298,49.587995378404976,50.72708170518686,52.26535749261709,56.844875926239666,55.44336256308341,60.92306923399766,61.25566135699535,62.67033883923424,62.77376236605812,65.06989109170411,62.55844636180267,63.2462464321998,59.99364195978796,61.719331244978356,60.01267372195453,57.57571499840543,59.48686437218092,58.31029209759979,58.578138199491846,59.264744653025204,56.89927329606347,58.393851734891825,54.378276634463774,51.4982395487704,47.51314544483721,45.96424329242504,42.59766932135641,44.90631220717901,42.257799323188,41.064692480232715,46.31900978331685,44.97191552237353,49.35089471600564,47.38557054236751,52.04278585218751,47.773269150653796,49.427832436864726,49.685089798205524,45.427314645177326,44.47038531493502,40.62765118005865,42.811298277285495,39.21730274671032,41.91366557258195,41.82807275555764,43.594448022161075,46.43251471288663,48.29376869882377,51.341023180177544,48.46210597095166,45.748541232079326,42.561448048724394,42.063060042740126,39.95453271230777,37.253836774714465,40.7093968960644,37.71832724115298,42.13652247405327,43.86311966956696,48.15422203017313,48.30389755860454,51.59234008458471,54.0309707599419,53.87188397293077,51.69412272232576,48.34220249678959,46.29618713303996,46.253083957715525,45.69517930006134,48.2276848304526,50.908115773025,55.56190071385033,53.018748085444685,50.78518849024442,53.607152818050345,50.71509185101396,47.97618925911318,45.55325538210623,44.39284783717174,40.15361990170147,39.64094315133811,36.42161787940317,38.26856988949714,33.631129142244276,36.474727908468815,40.11332874389084,40.93913101970616,42.43699402669322,45.00333638531943,45.90306402728323,48.47675805175643,51.22285168486534,51.10356235797786,55.26241348711837,56.501679991952834,55.270839892798016,56.675167636608464,58.734616655369216,55.41538362447433,52.56110021224504,52.21439216655726,50.8403799928742,53.61342813916213,53.73490341893613,53.82099302217375,53.104277248198784,51.3264213389883,55.50821007797425,57.109015604682945,57.41935433073896,57.487885531386965,52.80489529380121,57.6644415752318,60.650347681005485,58.83700374028269,62.50896599203837,61.85447372953047,66.65530964290224,64.60542826911099,66.01640529647845,65.51484016407089,62.622404410804926,61.142466690832485,58.399322291968424,57.76313179484953,56.975333564497326,52.137567964056444,51.77963414972337,48.031145054718564,45.86366128861775,46.13441675755039,43.50393618982841,41.43856362721538,41.613906206612995,41.32280859580445,37.294691518666724,36.6142072318915,37.66880665473328,36.09400241453738,31.885073392912762,32.19853352909539,32.0218345062657,28.65114325665749,27.355067376399447,29.04405402072579,32.03039447499815,33.12140346879883,38.38659500352722,38.5789612963569,39.09961070365425,44.40510486119295,44.5408584229513,49.05264038753114,50.08310957989508,50.239070170252226,52.99575363512953,51.81532204724466,56.54568026849704,55.10279648027154,50.64542648458929,54.11914473345391,57.7171394927044,54.12227310400158,53.06641475825252,57.160008775956165,57.07047626078699,53.02509120290643,54.155943740142014,49.27871867475634,51.26831188661768,52.70632368680096,49.478664901632634,50.71419203317637,50.52599073474869,49.06609996395596,46.88437380816966,45.39269652700745,44.69832594351209,42.15410873662575,40.47697955742839,39.06726848918376,36.4209884184738,34.968553216060364,37.31323059456788,35.01132643738815,30.753111507024848,33.085064428022974,35.849556505024154,37.47310458277109,41.292789224039346,42.8161391468272,46.55639937259857,43.52832699412955,40.65089710294485,45.71103286823671,46.236272572664205,43.24036840740459,44.92794026680048,49.861299339039036,47.78941715755411,44.65703646386064,48.76006768449895,51.893946422973265,49.18606203936688,46.734963532739066,42.537325271910504,45.61547291621793,41.78814186206735,39.64978528573471,36.187659244017986,36.23515236033494,32.18522131791838,33.42569684529981,36.70900631279911,40.0935032119676,41.92038516066716,41.98621387235029,39.902020278537094,43.0251308935285,40.119375256174244,36.0839201501178,38.457810178675395,37.78055262562831,37.223905623473726,34.86945450864889,32.45279639034968,31.580393942481866,31.486965979021715,28.594859833469425,26.97604024304139,26.624311174210906,27.023159214368924,28.990323326443484,30.50564821446333],[26.012372763307898,29.4085058492135,33.12546205470082,34.31317360392976,39.75784273701127,35.546410947045615,38.63549031857951,39.539839402221496,37.952363782199164,41.51594692178577,41.834847997209096,42.41605583324284,46.19121213904854,44.529416505527415,47.80711298994053,50.010285791056475,50.981488487063245,55.01712215071693,58.24949956956289,60.93742984008868,64.42737749250003,68.45210335444486,69.17819813848006,69.14904530587664,66.13038437597498,62.07923406640554,60.36626691784139,56.18073705561482,55.65447306905256,53.899018784154514,54.91821779282986,53.83186854243815,55.371797132469574,59.893044425694704,59.339819993610796,59.26750496230608,58.12228785872834,60.83777290521771,61.48512375638889,67.29056556062399,65.31098520934817,65.30976269118466,69.55090669545409,69.8918872827542,72.45373886379637,72.83054600105577,76.67350682062238,74.4202120545629,71.35771660391252,76.07153832397728,77.48333475569369,77.08972328364642,77.80537573396504,72.15322677381124,75.18322152610904,77.69929810011143,73.82843196786226,72.55246227682687,77.13901343604228,77.6888088087048,74.12773383501873,74.2190996306972,71.40984378394147,73.447511345901,71.91236895194282,67.97423992435309,64.80110386892939,61.053372124665394,58.54237093681697,54.91736556421234,54.49195258052248,55.541015292883976,57.14565154968936,61.745252444384704,60.40106133101111,65.84159526766312,66.2479283659737,67.63454805293681,67.77690565002995,70.08811887710003,67.56775858076654,68.24355483989928,64.95298365769045,66.64408910479358,64.95876612253741,62.57075928286832,64.51215107358252,63.32196290515599,63.607776080682406,64.24497068409454,61.87908034471928,63.299538880651156,59.28558963047448,56.41202395598923,52.48580501493028,50.86479277979092,47.566759178032086,49.8706307562999,47.23873911017967,45.91882738392198,51.2579844190408,49.81469008452512,54.27152819804142,52.20231427170175,56.78983064888998,52.48915008933193,53.97529692657485,54.14892249346379,49.85438429739277,49.038948771047,45.26978844803943,47.617495744812146,44.12701845861734,46.82310497225148,46.8268959739044,48.524612409952475,51.39996199859842,53.165424068020045,56.24768285929636,53.44606598252669,50.69250943338862,47.53321344725462,46.93243982785186,44.860543439903644,42.178508311881636,45.51798157685914,42.46622711854465,46.837396200953926,48.43934326692567,52.770890770219395,52.71804825366651,55.95046030801462,58.486811790080864,58.452446699874294,56.28169468016737,53.027077028072824,50.777542022017265,50.89931346574691,50.38035076055621,53.01820335536231,55.63056703223865,60.35334597774104,57.89247675732265,55.677794194819896,58.54692249024463,55.711621923956976,52.94828778911795,50.56081525812895,49.3564685225683,45.14078779235627,44.52757469376346,41.358761110245226,43.031324313172306,38.35508079242451,41.31167531209673,44.98298545874062,45.91410012942278,47.3404938164562,49.992315090502395,50.79308368887985,53.37235305043311,56.20319069244813,56.00027948082173,60.179546725269375,61.29866555851016,59.948372017638306,61.29036867654213,63.22933724820537,59.820716361434805,57.06619884533154,56.776615266373526,55.54174896448963,58.397925529611754,58.58116401297488,58.72947753321106,57.996381060721696,56.29745038543644,60.41607960829822,62.03592834954163,62.27497740190457,62.324547308922064,57.57730670805494,62.34502189415022,65.29820576955774,63.54221569022013,67.31943798386354,66.75194010286037,71.4818151733841,69.40991161403761,70.7465371324821,70.1510987461874,67.2859019040829,65.66821561448585,62.863484255158134,62.135332143778975,61.183837879790474,56.36258998263424,55.89628810606737,52.014853788511736,50.01825990742892,49.97691431782611,47.492784868402154,45.5822219173637,45.42168026074126,44.96633892764314,41.18106195533713,40.404437098653375,41.123109422864516,39.55055573102828,35.605781319067866,35.585918418521004,35.13231269608597,32.13764167004521,30.781266163141325,31.87667830521169,34.93851360821008,35.62319997995131,40.976653068576496,41.43651107001986,41.682559197454125,46.899165231470306,46.65702133249522,51.38311580371819,52.63770919489793,53.13110979154075,56.029243936084335,55.185102131709016,59.83919882175382,58.175182907434746,54.01334579124344,57.6542309779487,61.054078752743386,57.4379012248418,56.64859174611623,60.8351056970604,60.477251121723185,56.45939753039338,57.99146781198296,53.028038586109695,55.27915500486597,56.560644577809114,53.17955181500967,54.52236255175513,54.107417500505434,52.959114552106044,50.79937085682555,48.9552919160974,48.400493493137155,46.130711932892005,44.19897382014314,42.59969663824225,40.09691283733314,38.63393870625491,40.53119282770723,38.1644088053627,34.13322142978245,36.12327249628754,38.56362407542024,40.31621403597573,44.21169664938794,46.08400698375442,49.614079278428484,46.289801425420215,43.81683457496917,48.94341913177888,49.13100747622673,46.163001869578004,48.22431284786106,52.87160928260396,50.5173872784118,47.715847169378925,52.02022295844187,54.79709978457732,51.900681868168434,49.66253907697145,45.616884652092125,48.32414310371409,44.57605197164713,42.214567270957225,39.17993091107102,39.508931309113656,35.79852552375775,36.83295362725029,40.228293727860766,43.434366813268156,45.5130816054198,45.62937429836789,43.95896104507274,47.19443531111548,44.54392433588741,40.37722435851432,42.824950443807204,41.94498234913059,41.6271573663284,39.37516539415621,36.64854383324465,35.81830615274528,36.15529003752286,33.090461683845966,31.125547860547197,30.93207580194353,31.581172807596506,33.545212985301696,35.02871495675655],[28.3597784220445,31.625144939583848,35.37966228817126,35.820642468837335,41.36565594137006,37.02107133222845,39.83062326609721,40.843486564376185,38.767557078841584,42.00272840014854,42.114222893602765,42.95851821087967,46.707427983092224,44.63597639947128,47.855039192578865,50.29366762561356,51.21191040884401,55.05529872297254,58.073954115481754,61.03616831024392,64.35577087851763,68.53398125977647,69.08542395412914,69.067393423576,66.2172202276282,62.05596747924842,60.61558187735427,56.45572911993915,55.983141769960355,54.42540668762532,55.018009000575915,54.38697380946556,55.81025016655848,60.19727760128183,59.81346983275382,59.6254125390219,58.82748593377647,61.382839927742154,62.13479050889914,68.12343195086345,65.89390381255576,65.65383391959395,69.96419490701368,70.35544002961063,72.75525346761962,73.16651654764587,77.0546445935435,74.92776795738894,71.95857957640354,76.75051515521204,78.25603829646569,77.98070232826724,78.66719898691983,72.9901387329181,76.16030481401656,78.43622372695746,74.4341951586259,73.1769483199488,77.71438196643444,78.14569363280421,74.38719534687822,74.3631493046218,71.55122286397727,73.31574463320521,71.88287630827872,68.08243871108324,64.57194883430338,60.91514858135983,58.13049686288342,54.507917934601736,53.89774300772761,54.6558000760593,56.492188137940005,61.1630390403753,60.11883528920964,65.53228002911273,66.24113262647896,67.71390674070766,68.06785587744402,70.52120995158876,68.2638455389543,69.10934763116255,66.04737172508976,67.86215453562876,66.02719178357088,63.48331246442867,65.13952540767403,64.05378845035303,63.96042185562831,64.56810758495766,61.944032047669154,63.113561338568495,59.12920406429104,56.42136844938217,52.54388262773084,50.71300757696554,47.470505972840584,50.23415641904703,47.841482871322214,46.90386393390276,52.20354946842437,51.24284618919251,55.52447734869443,53.82477876497766,58.55033960439512,54.305103575439844,56.09521457399444,56.30827833068569,52.03175885387492,51.10843967326665,47.15705786110866,49.1283416767362,45.37042224732743,47.822356244437024,47.40900210704635,48.980946408540476,51.65964330838271,53.29471136367821,56.05323864440078,53.36937500034882,50.514480701807386,47.520874548344665,47.01510720130261,45.23070436798894,42.846151763850465,46.50262666168651,43.92719519697242,48.34441346815991,50.22121957021779,54.596261231719566,54.650396183181776,58.07823596864253,60.37633081766966,60.335980433690295,57.92436551279633,54.46505304683883,52.29662637901674,52.03742189327764,51.189111493994986,53.765395199259515,56.03401904414707,60.71997796522665,58.16696341437368,56.16935295028159,59.110004480626586,56.31089897593924,53.60631281088206,51.37216225986653,50.46644790250775,46.23879816199961,46.018143480154585,42.683710295758274,44.688282108897965,39.884184421060816,42.477840172767706,46.253569490638,46.98909303097006,48.73881512648292,51.05996594720849,52.215914687292816,54.5942843816232,57.13254343055406,56.88799200528681,61.116597374941556,62.370964995105794,60.9054075312868,62.5612986071274,64.45642515717931,61.198119397805,58.2447617128431,58.113101934824016,56.693439141902836,59.647536739492644,59.87032557109524,59.96348505970768,59.37409785065258,57.40023809091207,61.7355413166241,63.27336396111336,63.742029944029674,63.7018993810258,59.183658233924,64.05916534729093,66.99575993524498,65.05004780481416,68.5966284460441,67.76431554430056,72.5953914389238,70.27732576001851,71.89884692603955,71.40025615101813,68.64511204104916,67.22030754772122,64.55020137591386,64.01381684201121,63.246079990687356,58.37019274954154,58.15928961964574,54.382277191216076,52.384025041479426,52.67876716624434,50.18083771331979,48.029331412883735,48.045098833222596,47.869889275332106,43.908193703429575,42.907380253179305,44.00053189321899,42.65130232079396,38.359165638807745,38.43167195336591,38.29477353387186,35.15310228011541,33.52461138011975,34.94513532581829,37.8699180895776,38.94381721569903,43.929198076003615,44.50523669112003,45.018985054156204,50.29798486422344,50.290632781923016,54.920125561813556,56.217925042304564,56.550238861213224,59.431179240450994,58.40729574249408,63.07789241285299,61.4690142778929,57.079685128380916,60.658188920952405,64.1036212254949,60.39508792255507,59.44690928464421,63.56404226319933,63.22584465027309,59.127425830965535,60.41475076038647,55.612654611846565,57.83607998690786,59.326146699097706,56.137336639826614,57.46982477628132,57.27238339122812,55.88077049157104,53.65227974063689,52.119993663608106,51.48293867588739,48.96931007157081,47.21670221166678,45.800427784220055,43.192937419417326,41.6943260867228,43.907868503510365,41.59648804293646,37.40052923320442,39.544097266633145,42.17445047486135,43.80767365749549,47.710114785290976,49.38773881512112,53.02077265556198,49.78790729536516,47.02719859580528,52.13840245033579,52.42932468251466,49.366605962298685,51.17682591150881,56.00960052050328,53.64315942740313,50.57222431730579,54.805123122679085,57.75082909356125,54.78132690362308,52.34962057150863,48.1391902322623,50.829443091848255,46.86638666403326,44.854384613897686,41.56712497126203,42.077510966332426,38.18029826474312,38.941237285089294,42.34258333670601,45.55219755452971,47.63805354253382,48.032855551477226,46.09182165634851,49.387901598829636,46.42726942455265,42.55389377087199,45.14155172445614,44.550378885446484,44.005748633538396,41.52386953799995,39.167483553102,38.39324664701438,38.14862936797245,35.20051772474817,33.750642432764494,33.42402772598413,33.73698293254643,35.66043039686081,37.0901116962603],[27.815553764350973,30.89203863184912,34.66253193054208,34.595519422845136,40.25741382499187,36.18075685275115,38.9432815407516,40.28089801223864,38.06804763414227,41.084586106183075,41.32673064349063,42.48293693737273,45.92908417766036,43.62253360750423,47.04352143158853,49.552209367062,50.19134977091833,54.00680295438617,56.78153073895503,59.87946093017133,63.084430119019686,67.30357344680507,67.71471425527123,67.5681828662752,64.79039317676721,60.61906614990248,59.30801662966053,55.21850292114359,54.971780442232756,53.6508101631858,54.30901680732085,53.902796098612534,55.49132992253809,59.78534682683028,59.28219048453486,58.86090520585347,58.19316437489823,60.435570909799836,61.08956945009148,67.14231148505294,64.6435637044754,64.4553715173824,68.80875059798002,69.0552686655297,71.3318524312842,71.62846020867067,75.57182466750588,73.59678757554543,70.54131898299022,75.32075430205037,77.00882903329611,76.77333905228825,77.56934253585956,71.90630641567458,75.27093523358054,77.45555512857199,73.35876262796685,72.30015247726212,76.83275065233208,77.03354867743005,73.27415104105394,73.36843499223056,70.68194647593279,72.26892762782441,70.73443987379659,67.05042859439394,63.405582205096614,59.87593321661736,56.89944022354212,53.41792070806887,52.63135681049179,53.358293215991026,55.40954884501669,60.032436636583505,59.21058200447604,64.73259452377047,65.41156684431797,67.09074677466906,67.39793492517745,69.77461964494555,67.64729499050219,68.39249946060005,65.50325875854507,67.19581353789908,65.1827263190486,62.720163335680816,64.3005808922221,63.46890103504388,63.18259705661519,64.04830397802772,61.29643348110801,62.50911210089828,58.56922084325783,55.98726461135426,52.00375499274984,50.24498846435939,46.86992764864233,49.90135152328233,47.5574198041777,46.96732644958625,52.01284731905382,51.17484553355692,55.228198891480716,53.557051320672116,58.149927433938494,53.82953940969559,55.750119814365746,55.79246080559996,51.474390576550384,50.68463263042787,46.56703894141164,48.371535868203665,44.549912573347235,46.75521667518899,46.28708212115845,47.63533477916727,50.328866920912496,51.72977943657894,54.523710845682665,52.0636912712123,49.08913782944448,46.170651403913524,45.45649495125913,43.81823215544737,41.60106499946218,45.248849781569064,42.986989121176165,47.363505342623085,49.35590936577246,53.84824136764189,53.72661069402241,57.31831268047652,59.43983298859851,59.589776142561796,56.89757619597996,53.395415769915274,51.054966115406714,50.673136899094665,49.66004822058631,52.324129594580576,54.33964571967033,59.08641591965952,56.637736249818936,54.7550227348764,57.824932313666906,55.19802942970433,52.45166007319947,50.442193066710345,49.685110582695415,45.548105564515716,45.587343658444944,42.41673312795817,44.76509979622216,40.15088951562778,42.599817848190256,46.243243165234425,46.6900465459604,48.452891477617385,50.56645648408147,51.662257792271376,53.72156654040249,56.23496057573603,55.70781917945007,60.02559615765541,61.143162217525784,59.43436379776413,61.23186571701969,62.96911085883722,59.74782903781761,56.74848274063489,56.786442707101024,55.39236183143797,58.54697525259156,58.93917133803985,59.16736579007108,58.798404013908254,56.81700089691869,61.33005988256725,62.62264762904936,63.16812417408791,62.85797570996235,58.48818647043629,63.283169688024856,66.12311574237147,64.0573722790542,67.57663040289691,66.68433079007542,71.5003540310205,68.92837105077516,70.61680481139891,70.06542933957522,67.42611758628595,66.00414967954312,63.3976195406904,62.951747058635334,62.219958052710645,57.31666741599968,57.29522793179529,53.54331601333908,51.71883838701193,52.17718019861088,49.84818014198281,47.49161602812625,47.42021903616554,47.53439239634285,43.548548140620206,42.145913647575306,43.4980172622085,42.54425265287312,37.92196135500159,37.89192501430422,38.064222839381074,34.98857876710626,32.92510504958098,34.486782778006734,37.22675553954702,38.67088012261279,43.171219614917966,43.9615732227599,44.74632543392597,50.04501835982839,50.310486749237256,54.80862145941587,56.27546726525114,56.497274533893886,59.44648064919669,58.372551150892285,62.973914877949746,61.28109569424032,56.729314980615406,60.33333320655871,63.67672184625572,59.82649372336393,58.8345269080784,62.918380863886334,62.4279147492879,58.26230813778554,59.502400585455106,54.85190922197592,57.26636582965028,58.92312363086417,55.931716430028466,57.43086806254827,57.50202903134213,56.035965018272,53.575882649374265,52.305570538045885,51.835849920726254,49.081243422945846,47.266455972332864,46.164592621414684,43.57864444400004,41.81764272304272,44.244898642813766,42.15637573266526,37.799729790533156,39.798205839236296,42.60670257293656,43.98958745128758,47.94889238638952,49.49385986466813,53.11829993617311,49.85758853391295,46.83651851126179,51.93678992175897,52.180605572411714,48.99878626268573,50.636104607788496,55.55673857927556,53.06405172175386,49.800079283656466,54.01576364760654,57.01216994795759,53.90995182944711,51.34841350590327,47.04501378366893,49.62391450471798,45.51531353612786,43.77005276524945,40.36065509861783,41.12891349925332,37.224801091152,37.63663062177071,41.0586390111518,44.18321316436457,46.35926733639988,47.04217636973881,45.08768949627867,48.52632813703533,45.49049986738962,41.83156987670225,44.74672867588822,44.390455710604336,43.92947443018748,41.115990107768226,38.89881001569217,38.445048187329675,37.91296267921226,34.73672739343251,33.726029308151126,33.641149987070754,33.85738402622494,35.915972863665004,37.39413953533665],[30.03485533805863,33.07336653903484,36.7914535708244,36.37580768917231,41.925868749584666,37.475522602330955,39.91915194373353,41.05567717295921,38.46886061975297,41.280691993038275,41.18474090848076,42.3398407910508,45.96705668977526,43.46732377803512,46.60834327791292,49.2736285129481,50.09692687611338,53.703107122637384,56.45803493898321,59.69315689542997,62.80846538615944,67.12406568024844,67.48882483532596,67.48725866503113,64.8218048505127,60.56827066340993,59.42848322131326,55.33055223555654,54.93021217093655,53.617639061115305,53.7723302392955,53.65272542454406,54.976863393459894,59.175327312197666,58.94430738972417,58.60191487694213,58.191853276631576,60.525496076301415,61.37816070969553,67.53086983199708,65.03586459170907,64.53841688788765,68.89913679391144,69.33841854776601,71.55933790083893,72.01595816347182,75.93249072075652,73.94126771539639,71.09593786617796,75.9578806992311,77.55294003036933,77.39746648570885,78.03979779317922,72.37290249090147,75.68256784192792,77.67777687843692,73.5472648808146,72.33070818740673,76.79700776892702,77.08444051867542,73.13442197282734,72.99884619931755,70.21072227785658,71.67636783104612,70.34120865957404,66.7163134561464,62.86712091992829,59.3379577873735,56.27618444630023,52.69828422254035,51.89247867136309,52.35020708901995,54.42321577801235,59.13133721723098,58.41974215394849,63.791875037525635,64.7918687345073,66.37750700986815,66.93612658546175,69.51291069579564,67.5581297496017,68.56732033911274,65.7920543366191,67.71324056315925,65.71508993396247,63.020390191912185,64.35290486872951,63.41600293963864,62.9004035577453,63.51608946807684,60.62346705747442,61.543944433327525,57.621947024307296,55.12627196206399,51.30771213515757,49.29898455990193,46.12002642774293,49.37142980253277,47.25913657113059,46.80349714519612,51.95028046784098,51.53415014060925,55.54852887359337,54.27240850272756,59.098456811461105,54.944191785794644,57.08599601760161,57.34050203923191,53.12030975566104,52.07542045768076,47.94424325781509,49.45441547332233,45.43554637623725,47.57830448040663,46.705731962852596,48.12193724719196,50.5599103406737,52.04375569146097,54.42994215779545,51.89543540307582,48.9589998738128,46.172064285181044,45.77845999644277,44.324448380819426,42.297761562437756,46.264751409731396,44.257405032583875,48.67837211971396,50.85909622889093,55.2395308859862,55.436981417994765,59.06815454099162,61.064958403434744,61.00437388220648,58.3337791340827,54.662652794414036,52.63300036387172,51.929341370743835,50.72263632234865,53.19062894093887,55.07580164328376,59.6789394086504,57.03345594735561,55.28411073388626,58.27735954208311,55.53986015028082,52.922205462609824,50.885249416550806,50.32673389918593,46.13808182658693,46.37865713172624,42.92814765881248,45.32408821704807,40.49189118315708,42.63629910871436,46.441781453441735,46.90650615752598,48.98607860365669,50.89582040455418,52.42259823250683,54.53539306893617,56.723380088057716,56.43054378725453,60.68346787336505,62.08790589205865,60.52407278855632,62.52032904999279,64.3789069756257,61.325020200501505,58.1544501414478,58.18657470043591,56.55240156172838,59.58265013906789,59.844154833987076,59.87718262358198,59.46860611478861,57.20474821487694,61.772722005538604,63.17811648757369,63.90579621898228,63.75143952717482,59.531905905349895,64.50156220685923,67.40405062918067,65.24702647164071,68.50466167995229,67.37278152924569,72.2941565473521,69.71405351853493,71.64800334874639,71.27810173435705,68.65392013352799,67.47508373137049,64.98113506727897,64.67515719560782,64.14819450299036,59.24235174738401,59.339537084277424,55.73043477072606,53.71736804556938,54.43862372015612,51.92645280587656,49.49578248781362,49.76130462407443,49.9323793580248,45.77159848726806,44.54644359325737,46.10148884482729,45.01794964691272,40.34150839078172,40.57010505932725,40.83165975406715,37.50794855647156,35.611869977061055,37.47612927899825,40.20466374828151,41.76916506100281,46.306836279016764,46.9368841462345,47.79983174822772,53.13283454087016,53.47363773098945,57.92244780853566,59.21161914181032,59.28354814189094,62.10367211738798,60.81397477346952,65.494926176537,63.99903045770596,59.30841481882111,62.76909528291377,66.29055919133104,62.49683493300534,61.317205525153994,65.32488556607962,65.06779341786793,60.89467858726867,61.81215255415346,57.23712357867493,59.366791835261814,61.11507707811179,58.19211372850979,59.49864587007798,59.60783622897978,57.88989056331708,55.57892729498318,54.48201506074048,53.75319401205489,50.92367358891732,49.416685421486825,48.27068892559309,45.55347499913677,44.00768423824377,46.63239594915417,44.435411905837846,40.05799561613108,42.38129372435642,45.268838586213754,46.72021310817562,50.5898519563272,51.966853984846054,55.73435010050992,52.67908436238273,49.52786610326922,54.57279252760905,55.048633578119286,51.892583165582316,53.33457491373134,58.40866427808026,56.10621052734374,52.68351195365039,56.76670309544697,59.97026527791289,56.98278494181094,54.30533520250044,49.91061797993332,52.66617762758486,48.48753569449527,46.906240494231696,43.27068364271649,43.89975922116998,39.77694104455197,40.280805138800304,43.62523350591668,46.84753957399799,48.86046276214505,49.540454267190334,47.24005594059928,50.550295869579934,47.23693608939209,43.75247004837865,46.46716491192527,46.240470303963555,45.42356919004653,42.69638764989161,40.82146729075893,40.14216042341839,39.20535409253385,36.43099976042784,35.632633338186324,35.18080300118545,35.10052575950209,36.96104199077266,38.309052912228246],[25.434011719881866,28.367875466071805,32.027906333165184,31.41804108412551,36.900517120823494,32.360414912670926,34.75272071235194,35.93723550577246,33.349773666465666,36.18419113616944,36.19724074499037,37.40832822691119,40.92726840012511,38.4860576685129,41.75179675329296,44.35389917039504,45.103260471924166,48.80217269593433,51.61600175352296,54.76466899642065,57.94829782279279,62.21412434978026,62.650652325802575,62.63659509002504,59.89032296737126,55.66168826104012,54.42135989297128,50.30460416799356,49.92332746123878,48.608907135413745,48.98057700190396,48.767657151966056,50.25156724288262,54.473957648623056,54.0874658809727,53.6813982607087,53.19218883661613,55.47984219144063,56.284320835352155,62.41840851767912,59.95195333021865,59.52334339090162,63.87778645129181,64.28958242370325,66.56662285851729,67.03120300292352,70.93792967323951,68.89407231670204,66.02931045332188,70.90026514404694,72.45755559311743,72.26828598535941,72.91385912414694,67.24674725310638,70.55810627293158,72.59806008391243,68.47974963239534,67.3087402691023,71.79678847536931,72.05986809661758,68.18805719108671,68.13831213389007,65.39265251901065,66.9333487518389,65.51353720629628,61.84083936458456,58.11339194095148,54.55886134393588,51.576544927183086,48.02385535159963,47.2709566914485,47.929691489429814,49.927195523002126,54.591381425356325,53.77671531640042,59.249603474617025,60.05061396132097,61.70118745997044,62.12228688421007,64.60423212499933,62.59665697502425,63.514473474378995,60.736669046556685,62.599964936064126,60.57967765898298,57.92855183439559,59.321845608812296,58.44477471639548,57.993289242420694,58.75591910119893,55.917979918631765,57.0235501032389,53.090481257215146,50.55992354270072,46.62067929084192,44.775324644603835,41.44761996234076,44.64654437218399,42.44710968778882,42.09521399364851,47.09065670095558,46.62927201042562,50.55512532024249,49.246747682092646,54.022402675425745,49.86033451745405,52.076544593697136,52.327358385713744,48.13140399978527,47.058285972602526,42.87904670878884,44.30902415791362,40.27148727763774,42.4078768907009,41.577765631502636,43.024050851506175,45.515678306709056,47.057622675760015,49.56629227195921,46.98136184616073,44.06147628560426,41.19488606123713,40.78175630372993,39.23872189646341,37.148056476514235,41.11860003562486,39.122717884143974,43.548857288906845,45.777610663932876,50.13929647935885,50.410021696230395,54.06596278008711,56.003837766844725,55.90468929118235,53.224007647066095,49.5258385381038,47.584488400895374,46.8325655839298,45.653780870765615,48.08869230100842,50.08283025262656,54.67857316152758,52.0204580770013,50.20503250190517,53.18203805714818,50.435671461828434,47.79670069575507,45.74981565243809,45.176836843764626,41.00273653767449,41.29914141182709,37.921787615632184,40.4814202320788,35.812616224631505,37.90483446214045,41.599259742074686,41.93323313230466,43.96716730633633,45.84008866227578,47.30623580218348,49.37085779121796,51.58589706736936,51.28099627587962,55.53258555736851,56.94393621464515,55.44267725789165,57.422192340757,59.34839379559174,56.324382030504545,53.12684221992016,53.10762366214012,51.43054108570452,54.42412825912472,54.67626433328762,54.72338901260101,54.351637148336195,52.12038901203249,56.72344597184994,58.0582266575174,58.78524897369947,58.58841617601221,54.389722575441155,59.36389772003627,62.26601180430512,60.09373728771314,63.33876208803273,62.22166503973066,67.14203167809455,64.59938443258123,66.51268969108128,66.1692814805006,63.521052903346934,62.386167404107255,59.91564775924254,59.64789752616619,59.201962213038314,54.30066119965307,54.45798229830896,50.93781401971036,48.85000351046268,49.76291731060689,47.2075886729424,44.670800716619816,45.11703785275025,45.425203869258844,41.146019978369786,39.93408175609158,41.71712175231317,40.707507760652284,35.85291861222758,36.27571753308261,36.76055267506612,33.253923306303925,31.34678726591412,33.594625646618056,36.22039332072003,38.090455018797115,42.491143604048254,42.93989782799916,44.012401861857505,49.371865402923866,49.98997394013855,54.2570462176934,55.41163817026578,55.239742860828294,57.963951226337564,56.46139193561978,61.159708779343205,59.79479169073295,54.91372259004619,58.26147444873744,61.88319528356949,58.102299458193656,56.75494510069116,60.692117778174484,60.60001619095613,56.420530058420226,57.082576244827415,52.582043302144754,54.56680035213556,56.41732833379656,53.625476172937546,54.90151397540414,55.20458197544437,53.307107757733746,50.93399777104363,50.10482502494279,49.35660338649448,46.32524028663143,44.94766785295723,44.00866415220613,41.2441427483656,39.63851405721514,42.560085835807065,40.492442418982634,35.98232931282109,38.44090625160387,41.54478086442811,42.84078611991342,46.640095372700245,47.76040671502958,51.63147688564775,48.781050637551296,45.34566368210768,50.31281286683445,51.00056383789598,47.830425587858635,48.999540446114636,54.24540336811259,52.139195120035765,48.498758113179356,52.42691491039085,55.86651528450968,53.022091368746004,50.20975461556219,45.728702066937956,48.75546622961964,44.53974569785869,43.11095272345221,39.187141007407405,39.61544478990268,35.29344864856682,35.92513940923735,39.17968983383068,42.51337081147918,44.340956062532705,44.980461440652554,42.43485791098298,45.67193043124148,42.230082048663434,38.85489426198824,41.56999093228086,41.50077149457223,40.60108210290529,37.75146572057227,36.083357640897034,35.479671112085114,34.26669417641109,31.52846044601274,31.04696754605092,30.60082604697691,30.360471831755852,32.270386395717644,33.66353738298587],[31.263727988153867,34.06082221964057,37.63763856410945,36.4439199488299,41.789598389961355,37.04354178108805,38.96935442166417,40.02446946715263,36.89763168183326,39.25380165809118,38.809949308671165,40.156845793686124,43.75826957615135,40.903013455253344,43.78465470036243,46.65697492430435,47.53187269815113,50.83114041365537,53.41401610044386,56.86031792311688,59.78900701828728,64.2169723247093,64.4600603064776,64.57635319933722,62.09610208430637,57.761379138746705,56.902340717419975,52.85890628852992,52.39099720718457,51.242327658003624,50.82389963745898,51.202224390243906,52.31453670388734,56.30080909167698,56.310612717364215,55.91253369344167,55.908473984223704,58.14502119887109,59.185799119524646,65.46980717472641,62.85295548703284,61.98350394523531,66.34882454550824,66.95543161165163,69.02772013326611,69.63836867195566,73.51165461029184,71.58855925182722,69.00862650383381,73.93439008897609,75.47482888838533,75.46718797256621,75.9618215159138,70.33511216838245,73.65835275908223,75.34278867660113,71.12852891109604,69.82728108294913,74.21007173644063,74.48399279664399,70.30982515999328,69.95676035721543,67.13294346359825,68.35984739123067,67.2053535854127,63.73072522924368,59.58730052854662,56.14869076103475,52.90997640111054,49.317598737163834,48.40619884435757,48.54790275577333,50.73149625372003,55.479576094596034,55.01839455032841,60.25408673481361,61.596378587971856,63.194847369389144,64.0126151700989,66.76676733199612,65.11799361991143,66.38640038929496,63.88075562238254,66.00719853565496,63.92711917811663,60.99928328863011,61.963045892207205,61.06709032280475,60.14605126308466,60.62934594334838,57.50366006012349,58.113591737470465,54.264625680314424,51.972675729349874,48.303319819575094,46.07247835748481,43.0602321637311,46.73328790293909,44.961235240753346,44.95231002229256,49.96220962042658,50.17895112483495,53.92960756863605,53.200885444668,58.18961321389036,54.25285529892919,56.774975853501026,57.20842550941482,53.14048634432705,51.83564689692452,47.621724983255284,48.59330603704562,44.31763071499471,46.20310760458202,44.77217129659788,46.145432925611246,48.23539607121622,49.70778214632089,51.57910820713227,49.072994871210135,46.15431487642668,43.59078207939722,43.51758460256014,42.3893073440376,40.7275408269819,45.068429380339985,43.61426992036692,48.017332862204036,50.503663654566296,54.75022004698112,55.29968253522017,59.05418744354327,60.748714782365084,60.501429926998554,57.71785758360338,53.81330431780333,52.15845532699251,50.947230503211685,49.41347596533924,51.62563852354979,53.21727344881588,57.613062350250765,54.77676131743599,53.26345972208874,56.19403386811569,53.425480685580126,50.97500612409909,49.05005404864225,48.847399486776965,44.69805892126584,45.38373033187279,41.730357145265366,44.42466985930309,39.56553452313533,41.141400961234204,44.99138428165157,45.248413333268175,47.71962978887938,49.19268466465254,51.22583218269711,53.18424983065209,54.91011249050466,54.76856928622532,58.94931985136495,60.65601211881193,59.18686798952352,61.50931678856351,63.455408931275834,60.678646438619,57.26931408929021,57.36628975113351,55.422394081190376,58.358817553370805,58.53538780382203,58.38899553593278,58.07279957086248,55.45538233642503,60.18075675644775,61.5570409673766,62.568226077045054,62.45064592903945,58.55386418491006,63.67573228255711,66.58895855566587,64.25122606156584,67.11400823791317,65.64460511298908,70.653914198901,67.95552503063496,70.24213813336262,70.10068736111891,67.57237595881547,66.74433676430684,64.46045616858217,64.40934768903062,64.21071718765064,59.31982830629757,59.70044003906478,56.353647205106206,54.180524753579206,55.39882949117404,52.75031260796404,50.09255925164572,50.80737514875873,51.25907154133211,46.86097942390645,45.661172004281916,47.67820922758011,46.68681704286657,41.75525834040415,42.317624311197676,42.93135672231679,39.31712856663444,37.42260293801637,39.832999144400524,42.377912690241644,44.385223723662605,48.6250375610755,49.093784754361835,50.269533920283784,55.62886132369623,56.299817210483496,60.53615605388107,61.63358091152587,61.365004870910745,64.00697349175698,62.34133669394487,67.06876356821101,65.83234664076905,60.83124240774479,64.05702466280614,67.76935545879505,63.99839569579854,62.49656474841997,66.33795839223629,66.36514431871302,62.16166892981534,62.536399974011104,58.200105060961306,59.99384888407276,61.98376782941511,59.32802248965751,60.45930855712209,60.84201589309068,58.70100793295881,56.44564488434442,55.82806504040616,54.865686502389266,51.75260862733417,50.66244060213903,49.72608231342888,46.866341691626054,45.43921093188888,48.51139984107634,46.37126434084176,41.8795096000178,44.545212909624134,47.675198612750094,49.005712172080166,52.73884974946496,53.728306893867256,57.68034874976531,54.966122552449555,51.427111055559465,56.33063915879498,57.14998772398624,53.976832336956875,54.96669280066669,60.31727551137994,58.27364605950061,54.48880812698046,58.30926036527632,61.878943848254806,59.03807153892505,56.11167238281511,51.54913259507662,54.56250697840786,50.229802701450595,49.06615529723066,45.00683391350978,45.51082353941716,41.083030304615356,41.56164659455483,44.74790015922701,48.058949139416654,49.819181668296714,50.62666928004736,47.802576605985514,50.9625198983615,47.23025040085462,44.18199140404754,46.7867926267907,46.919207861302525,45.6738431008324,42.85775632592218,41.604386821040976,40.856636234231836,39.156788175717715,36.82827975252202,36.66960620979054,35.90915598848279,35.31312484684594,36.99097127951528,38.16753104539793],[32.43997573514174,35.520299051949955,39.111583235031624,38.72779374257702,43.99813875936139,38.95979964417036,41.05831581013653,41.69187461115426,38.83858854426353,41.58693387870243,41.01384373045164,41.88083232720654,45.93187344388152,43.462669284023576,46.0939865099746,48.84112750171445,50.10709209547626,53.49083338196287,56.437258885884795,59.67173799412842,62.78607585396728,67.14241971276218,67.60561703735416,67.87674566802065,65.26706241834157,60.95294710436744,59.87084432207709,55.721806241988915,54.952414812966225,53.445611560813916,53.003245365252184,52.99464714295525,53.886421318878476,58.038594420962866,58.20074592170125,58.147101507613236,57.90290253014025,60.59689555325749,61.7462125107146,67.92449757810923,65.68933025195469,64.8131133982062,69.11712489626792,69.88975126696283,72.16529000803185,72.91087136289077,76.72691239432736,74.5728132375377,72.05106751221524,77.01135841943172,78.32757398765746,78.18466739998875,78.5571968924143,72.89456048559227,75.95526726175338,77.83551577341326,73.74999754863069,72.20527203200015,76.60302024963617,77.16513468097709,73.05076978827655,72.54938569414813,69.56930802733275,71.06412684727871,70.03602696243387,66.38951211450748,62.47501745441961,58.841180389888116,55.891231236067306,52.097954140602226,51.447186466881604,51.66661169580289,53.53061098363849,58.34733284781511,57.54592796511279,62.629465593171616,63.98754684217048,65.28306462302724,66.14682062212357,68.9925792818737,67.11360697550064,68.49884658634964,65.70364985419171,67.97492751153446,66.15701922578968,63.145631851447106,64.27151263592171,63.00558797388545,62.414934671060344,62.53474464698665,59.61965870200226,60.189754763468834,56.26594742003461,53.76382300037192,50.238784006599204,47.91474734393131,45.08878148169413,48.31533988216773,46.42805078054207,45.84578738418849,51.263416756628594,51.221005380392285,55.3423781456127,54.49501109367022,59.655776482736414,55.77801800274701,58.058704936471855,58.693015190386014,54.64036979611411,53.20227059149387,49.2169902323626,50.51739031806129,46.36447150434809,48.632689911664116,47.37749197799427,49.06173074921675,51.198513029668966,52.978957662446525,54.89117602537351,52.083590042129636,49.32227894407465,46.61933896539849,46.76819485979152,45.384301441588455,43.42354036220617,47.70646229225535,45.723905085769964,50.19711129036168,52.48099936752921,56.60753512357412,57.315350617014154,60.83881115005293,62.827634894862385,62.36561103572428,59.96911261743588,56.16921196351041,54.651273556342616,53.69763832470215,52.437057011928786,54.593886348295435,56.56493834798463,60.924756007709775,57.99249496777984,56.28340080671543,59.06126882302172,56.06078478474468,53.63586137963521,51.38228420379456,50.91560299365883,46.625724548388106,46.876213283860004,43.01401577680986,45.18032524613282,40.001253327023065,41.89480672895209,45.94961723818653,46.65689477255706,49.058194834446134,50.89567344559783,52.93761956050101,55.36554104529698,57.204552988117435,57.41848985675113,61.49970955492091,63.33935203291304,62.16060509024965,64.24012715522653,66.37257437346116,63.48730683749712,60.181122623007404,60.04844358294242,58.13112960421412,60.830112968189624,60.79457976934676,60.495848794604754,59.86181067423728,57.305366077951334,61.76005873965589,63.48731683314365,64.3492744905397,64.5959019896552,60.437781330067224,65.6491334731993,68.69215939423822,66.54167870637588,69.51932157133764,68.18199241084287,73.23201356281851,70.8694757752504,72.99949218376206,72.88336944461982,70.17398654012796,69.27462540490971,66.86409825628692,66.6430669306794,66.32861296722825,61.458959328719374,61.53881500575056,58.097231199232354,55.7333973770627,56.63693684608425,53.79292294403676,51.44173545000453,52.17086243858138,52.194959448952474,47.86606468065487,47.157732584270164,48.756095295343535,47.24469683783256,42.76667108980341,43.37765482531419,43.53421251395507,39.88966889983045,38.507514887373866,40.63122235708007,43.4504749018526,44.91496077341688,49.82342041920272,50.08491757150423,50.857504040829575,56.19481035668088,56.46502070936573,60.914506305772235,61.83975664120609,61.79309483450836,64.3920157678455,62.870969227436326,67.68373989177896,66.49654146553787,61.7641541076115,65.0148512431001,68.82130594128105,65.21573380831099,63.8408770343328,67.76742430039448,67.91847338446588,63.79766466652891,64.35983690211629,59.77108212672683,61.401156279499446,63.12953765117869,60.15718774412821,61.1056462808091,61.07894121828715,59.111672654827046,57.15251437174476,56.09369988866677,54.94688341990212,52.20292632887478,51.115258097177644,49.717092047831706,46.84658242251769,45.744825758144714,48.45598678142584,46.00534598245828,41.73955611964632,44.53253691863928,47.39212627545437,49.070667172277396,52.767272273702375,54.01145943138953,57.94211465421966,55.18295728378727,52.05372689342851,57.014042937340065,57.81346016639347,54.78435951868113,56.10090701666844,61.28754352506257,59.326166209689006,55.858918721864335,59.77830493296456,63.20457098338629,60.47304261691891,57.76307206655371,53.3460013216272,56.434531649590824,52.298235348058064,50.69204189505706,46.86902444766159,47.11019052283985,42.75222974855348,43.64314236576758,46.867581001010066,50.266451143035674,52.00184134777731,52.436090379231416,49.7417183521908,52.767018316067755,49.21242951550941,45.78007281821099,47.99495197193125,47.74774781892607,46.47498543082537,44.10275528469264,42.53776407650178,41.37588808822106,40.1876773891509,38.08123969154337,37.21815557493508,36.16734822581558,35.802799453652185,37.329743443832456,38.414356571580015],[28.35574917398175,31.453076297368927,34.94824866676848,34.80214962832879,39.88316206481846,34.58953362949171,36.678439416126636,37.08857980512276,34.36608445529885,37.32568099478192,36.75968188297783,37.40945842442859,41.60835419665088,39.40744168889129,42.002239814894864,44.62216559767669,46.035054754950394,49.5446972470189,52.74300725146208,55.77329123850024,59.0500616462914,63.317085528547,63.95975213394748,64.30335429584271,61.54714003427692,57.27953624153883,55.98791288890144,51.77315423664408,50.85360141171265,49.15171459266464,48.902168151561355,48.595784093245065,49.52707533261259,53.79580992323742,53.88216199165189,53.94903457536766,53.50280492711402,56.3956362966108,57.559762464990186,63.65396122344953,61.656083779842255,60.83899311361086,65.09908477469882,65.93786711458812,68.3701706957339,69.1931238236599,72.9609112910941,70.63787333794085,68.14296258638889,73.11451502849263,74.26943738922049,74.0426413996708,74.35211676809199,68.67884237858883,71.60295810933764,73.61539955159036,69.61324916154469,67.97685501110875,72.4089995284998,73.11077276029715,69.09632554686362,68.60617317998458,65.58197770698592,67.2967655709627,66.24510080786347,62.45734230512699,58.78471662756441,55.02482596289716,52.31355915274129,48.43854015674556,47.98258178605152,48.441903527468455,50.061004012847704,54.871324040383094,53.77967364190012,58.89227184610257,60.05082225558963,61.2555927648228,62.000627119084555,64.79737742036659,62.74640924498726,64.10008515642595,61.157844890530335,63.44822013009729,61.748800230314735,58.73572529329617,60.002424945655996,58.60020295620303,58.2452678292551,58.32208934922315,55.572603724373785,56.315596620319454,52.337126964257244,49.6834484164422,46.108168805369516,43.896543651546736,41.01770024028712,43.95499183151178,41.923893526757574,41.13945169677186,46.63171527683945,46.4243841735574,50.651054570247716,49.72902041117727,54.93379108836424,51.10041760870871,53.335774322260335,54.08540365375453,50.08917511845565,48.534351536536306,44.64655217034794,46.015824317887585,41.91544725239471,44.374814699801,43.2320093056303,45.117607614239425,47.30640308215095,49.31432095277491,51.34526597997267,48.32331381943136,45.67510430638276,42.833342652231856,43.10972925909104,41.51600364792658,39.35566418711477,43.61241280119463,41.38369194398934,45.87625436503806,48.09639046000161,52.11116005412458,53.00029195742563,56.41045807617805,58.48267279240861,57.85484318672845,55.66723322354212,51.89720376759422,50.57649374958581,49.69672035811833,48.60791711988783,50.67492111690559,52.9459519298769,57.25440237300219,54.256357919426776,52.387404181499974,55.0523515442819,51.91884708380816,49.50116559601101,47.062782257118236,46.451444492820926,42.11021237646207,42.188128774683534,38.27106350885546,40.304711210514455,35.10287190799344,37.09599152874881,41.16019069282272,41.984871180703145,44.320963243432004,46.30415031984988,48.313122663198556,50.94430808476039,52.84758919656234,53.255788802442765,57.2649961072749,59.1908309493243,58.24490889006931,60.17944418609374,62.47709847494582,59.585318842988364,56.31257777628855,56.00597263090646,54.05349695695501,56.56716405147945,56.400837832541875,56.02410759361332,55.25547009877805,52.75528768274956,57.098285697945975,58.94219988405138,59.73073726002531,60.13534413399777,55.87733063035591,61.136368668843375,64.24339944657761,62.17929664344782,65.18393469494751,63.92560868473368,68.97564618299279,66.84360342828661,68.87598004152231,68.80850068452783,65.990605982452,65.11169698449561,62.67093228685792,62.4056991401141,62.1259873068461,57.293618483759204,57.279247515358755,53.90130312792498,51.35701350473921,52.29716777917666,49.302698176309484,47.02000012112727,47.96315243380951,47.894842252558774,43.49709724873827,43.10110352553937,44.69799572108447,42.969716611706474,38.600230131371376,39.452090845458955,39.579135598351584,35.74613176000423,34.68407561891057,37.02390253608455,39.86566355457846,41.325266846712765,46.4266409165024,46.383662822026274,47.14582916370552,52.47228274184526,52.80384358510657,57.167805071164004,57.8529081941901,57.666886529173624,60.13244536419305,58.46352386882772,63.32805301827286,62.31432474249062,57.542010532373425,60.67263040779441,64.62641239552485,61.13845608994735,59.65621547104717,63.53923782500471,63.93521440243272,59.86738076301747,60.248389416236265,55.62601227572896,56.99464114083582,58.684324850356866,55.68953230685902,56.493662944885585,56.448895028662264,54.38037006168341,52.53332807807931,51.522502094851795,50.241940311224,47.498341008714185,46.57297480041042,45.13448003487585,42.208065349034385,41.25205475980875,44.06829313428456,41.579687817382094,37.32280558311475,40.338635178538134,43.25928557785798,44.968989990818386,48.54989450638115,49.653261736645554,53.67281042840611,51.121832210169565,47.93488514487957,52.815415801425516,53.83121069704812,50.88298320231184,52.08156344962753,57.33693236541531,55.634777951536954,52.131794697384755,55.91788057729223,59.49634804163231,56.98528626020501,54.26472744211852,49.863111140653494,53.243394799490176,49.20226429953048,47.537311581033265,43.58097835003861,43.46756648673109,38.978191014595716,40.224935191901416,43.33862967536712,46.86985435420105,48.3788576230427,48.565397494305984,45.69196254789626,48.53682947587238,44.95220487527769,41.45870490527158,43.41621182496597,43.12898395240249,41.72307523365756,39.508270483293146,38.022316890774405,36.682411354415805,35.47096907042838,33.599825644089606,32.679112775821146,31.422180870703166,31.00070299104001,32.45785185283742,33.545450517565406],[30.07266773297685,32.87167629768453,36.22383262590335,35.25519512515254,40.16173060709213,34.73385450021391,36.325193479963104,36.74867015527223,33.49301864893999,35.942274653386455,35.06746639171843,35.978410606557176,40.06963014483674,37.47006526440401,39.84931620738647,42.68797253381052,44.08320639213181,47.2845000180351,50.25458972138037,53.519636098503156,56.5868009108856,60.96935366313305,61.45580641745739,61.87616020085424,59.31910630327424,54.976902093035896,53.98603027427125,49.84760208489735,48.92209166443948,47.439085881163756,46.64557767897305,46.880423572726876,47.63991859164769,51.67882941487527,51.973881694245364,51.931874915991166,51.90683627889836,54.62272186824418,55.93863835125205,62.16306619179104,59.980038856699835,58.83368139637528,63.10624972875116,64.06163624743613,66.31998349303916,67.24974389932154,70.99276365593849,68.77587826558042,66.49828151921865,71.51966147107913,72.67927671422532,72.60085338321684,72.80886606334943,67.176719673307,70.16693763257766,71.8680636676093,67.7676593009327,66.10535628680195,70.45147434601442,71.07809410116687,66.85466458340647,66.1915577268592,63.1639329067579,64.60266678602044,63.70034308005581,60.08543372594573,56.09744002349156,52.455764177563104,49.52685486912942,45.66808402056421,45.067843936946694,45.20664302966942,46.984651956622294,51.82650489558452,51.0309055115278,56.03619452354061,57.52500647986344,58.7907827504218,59.77670827952261,62.72374384605512,60.99730498366927,62.56683921611109,59.92715080522947,62.37064923160429,60.54975986225931,57.3478175993053,58.247314359807405,56.948606204378486,56.159575883994734,56.16840028989083,53.16179389422131,53.60704872051615,49.707772638189695,47.28227524268054,43.83243403895371,41.40940013525328,38.67189673316554,42.090435151249885,40.411788913461464,40.15159229315419,45.43882197631431,45.86916661730334,49.776797599018614,49.37435386687561,54.67628724929723,51.02965460306194,53.631461667583444,54.483413028862294,50.62278979301831,48.89123252001854,44.89702569385762,45.72933771522132,41.396652958418635,43.53928899627927,41.866383958717726,43.64568844458375,45.50429188715869,47.434625636253784,48.9839460894747,46.049919211534935,43.3931931591895,40.79357593947484,41.32126261280042,40.07751121437671,38.31279089662374,42.88896657094984,41.262752579547985,45.70344031387384,48.217855706151994,52.13500845295041,53.27051580449774,56.82605320240816,58.57609372795983,57.847106840642965,55.48174344197667,51.50681751560937,50.46458231255699,49.105154918770666,47.67917240589747,49.535689603715845,51.45941421251408,55.587246143416934,52.44805421017475,50.83467019883555,53.47154541346924,50.36199303949973,48.09507065149803,45.82804792162596,45.59153833577284,41.32793837759723,41.890129260804194,37.84785187597216,40.24204175118254,35.09554899432758,36.48848161236368,40.54596461414291,41.09581755966055,43.79992444109615,45.31046954864488,47.77053221737668,50.163062729706525,51.628330118407796,52.09695415373978,56.05545598265311,58.21212179969433,57.27953328938226,59.541570572891985,61.86055242507834,59.226829858220235,55.74172883738041,55.54708080795195,53.33536112734679,55.81874556324022,55.62654562166732,55.12551340567641,54.50351815142913,51.679223565365604,56.20630866912834,57.955009111740786,59.02307744767242,59.3848427975345,55.47101207627535,60.82808828041525,63.908102266133355,61.653714097298014,64.29353631272629,62.71450456337132,67.83635373853741,65.52740492301707,67.89357157306345,68.00860212779831,65.31607849888583,64.74365522831815,62.509197401013665,62.49325073995719,62.50146069020486,57.68725406049842,57.973609012555585,54.83352823379626,52.224900327671286,53.624973592129464,50.58864907680402,48.06250969093346,49.339604925319755,49.595454417206966,45.025002235200866,44.51281802251416,46.555128426452434,45.04831179430774,40.39461031561487,41.46095594503587,41.96532887820135,37.9683662735632,36.757835782580415,39.52945936237791,42.14989137252527,44.057444363766486,48.73323205173114,48.65520994901122,49.74318711520326,55.074690359391184,55.73947038118923,59.88742682274199,60.492452593354635,60.010429004136796,62.35208956252393,60.37675031214425,65.23799614110663,64.40447330900795,59.35010280586337,62.29143407352127,66.35037345030904,62.84150501509214,61.09488633047052,64.82161192077729,65.3904643423847,61.2869551620433,61.21665378605232,56.85496097877725,58.00911347793577,59.94413223150507,57.24322356599024,57.953772945274665,58.21872962108494,55.786826503338794,53.92181785852742,53.39145481313343,51.976745120393204,48.938068514129334,48.34380853101474,47.18515415745591,44.17115514024241,43.232735705293365,46.4532413418599,44.10026463881295,39.736075356438626,42.93976918538697,46.08319444689108,47.606206275517316,51.08323364441537,51.83644344795675,55.97837414260735,53.688836237541906,50.133299854308724,54.877329925669,56.13581175628264,53.14460150436635,53.930915387154364,59.40842285652582,57.86284917125926,54.030137918799525,57.592620961986825,61.45677743892407,59.01308512781771,56.066106840415706,51.52035131313632,55.03167484969023,50.83619305746446,49.593226651966106,45.29985620292614,45.19445636980454,40.49871524092118,41.58491216797636,44.56318531470262,48.111023181161656,49.44865889477075,49.84066046547545,46.555530305511375,49.310740948807954,45.3671080828962,42.33376892160937,44.291856030339666,44.38649234926581,42.64783133751112,40.269334009130695,39.36851803975629,38.08691053182136,36.13488144638763,34.59685533941219,34.36875512869406,32.94956212218616,32.06336229157513,33.3842672413693,34.32616205359524],[34.39139402946406,37.32988391260395,40.724199353983145,40.02243777122761,44.94751202887384,39.45906575822835,41.06951909680181,41.316697909934206,38.08991599758078,40.556578799951986,39.50838412745983,40.23858973561276,44.52336893466444,41.96558458177562,44.08831022531201,46.94814778488534,48.538909815202786,51.61073790394096,54.609358566611746,57.89420170560796,60.91754642685029,65.31807731727199,65.8026273942183,66.32118291434462,63.82907182640314,59.47270027925137,58.545351844497056,54.413545724084514,53.35741018162011,51.7915916551347,50.69558306377205,50.9725130920668,51.46483008049085,55.465270584376505,56.00075404053613,56.126643083631535,56.1684926105761,59.054354652151154,60.483840260057335,66.69192890832979,64.60624021669298,63.322228174055766,67.56227590793635,68.6387925973133,70.88883334389074,71.89837360443235,75.6095447201571,73.3675660348052,71.19215041271566,76.22794547568857,77.31742066997963,77.24724018729798,77.36570794284586,71.74423084526023,74.62525599010596,76.28586863279628,72.22061431401542,70.41429028611158,74.70633101142873,75.4605100543391,71.15727216043821,70.31764180455298,67.19482971475315,68.61098228446585,67.87825278424796,64.28845068855418,60.24139204667706,56.58951130160614,53.68355790832314,49.75761381689238,49.193242541663416,49.12543148507809,50.852248959032416,55.72418360378967,54.9497898097416,59.74515485293533,61.479898245287806,62.56899478309098,63.74537659341324,66.83612313985684,65.14665303024665,66.89059037317108,64.21870653176008,66.80246377935485,65.08283092777522,61.77243526052485,62.593949442747935,61.123510010398405,60.3160304465316,60.03452088999499,57.02664929062296,57.22339384490955,53.35288644320892,50.946330187601234,47.71893209837088,45.10142506252659,42.626167053429754,45.9770284461404,44.41746331413885,43.962997247824035,49.4438373032254,49.948615360006585,53.979900966492195,53.67876202987403,59.09667150327467,55.53311306406926,58.066055159139566,59.027602398157434,55.18797566487095,53.38410053890534,49.492307303623605,50.39642683962496,46.08633795812305,48.306140392568444,46.56862796279821,48.410333721165244,50.17010635187264,52.15071976757376,53.50762532324281,50.528344054381314,47.93461265940457,45.41035048393729,46.078350786952456,44.88010682122282,43.133819697494566,47.73480779111259,46.024362563124974,50.4764590744221,52.94170031346896,56.803989706797154,58.00658049876007,61.48941590869936,63.3228675128791,62.50918586917466,60.264541448304335,56.30446245448408,55.31138712488523,53.981306719930885,52.565198333877035,54.378443643422735,56.28820870280577,60.35998601248941,57.16258189814289,55.58544348804056,58.15846815569732,54.98065828087572,52.7822812834506,50.44277302784665,50.196310581469575,45.90268720097738,46.3545814315919,42.17508606862413,44.30357732705587,38.9574565094787,40.37816940524561,44.56717836782593,45.331113763455775,48.10429315605651,49.67480777429963,52.273308087300315,54.82530729911669,56.210274265862154,56.84222826854085,60.740443498926695,62.99899758092701,62.14344351525714,64.39870352142589,66.75071054792613,64.11491709481282,60.63645780582966,60.414365956280704,58.18407263900044,60.590168864898516,60.312687119336665,59.70984530871798,58.96760354128882,56.07525194967366,60.491604339659936,62.410856965914135,63.484571874658,64.01937838512089,60.074685107508415,65.4831267188779,68.60885628902776,66.3955063052735,68.9948095731651,67.37881562452368,72.52689548864582,70.28903497805292,72.69087620529473,72.84859119327399,70.13030433749398,69.57837658817033,67.32898092826068,67.27923670668628,67.25789181674578,62.44854140329836,62.64461257805344,59.4560755933852,56.803497133800306,58.056441773624826,54.95558900116607,52.56356459706228,53.7986807085664,53.86793486709113,49.35226779517165,48.98905379265431,50.82435958463544,49.10921221296312,44.66596978738638,45.668822166290475,45.93773980174298,41.993594004160364,40.93244005717037,43.46040684925337,46.22098135531768,47.83710233110778,52.79037970370395,52.740119112565836,53.613436718220996,58.94173243885565,59.34647052268874,63.65814377612303,64.25711794936686,63.95126559362741,66.30857225826054,64.45346053833146,69.34863072750379,68.49547225525762,63.597969926436235,66.58189462382474,70.64959315153115,67.19077022352839,65.5371596507001,69.31368919787118,69.86986830755214,65.78675242387463,65.85166944403427,61.39027268555719,62.52707199101474,64.34727346263013,61.49482344405535,62.1259710779803,62.16201484712445,59.83169417232447,58.12997383116991,57.34984788539517,55.83387577315043,53.01499358786623,52.409301305327084,50.98432920995241,47.9729557307125,47.20785974792386,50.18378219053012,47.64246609436792,43.4213173669882,46.639272641726684,49.59373700141328,51.322522966009316,54.816021163088266,55.76221047924814,59.86704010217832,57.48411493140269,54.18201720352285,58.98396194640265,60.15881303597543,57.215606024659,58.216528746488905,63.585635693015874,61.98241711045088,58.32323863463541,61.986822164594976,65.72088116443985,63.240189226071195,60.399256905674115,55.911576179421836,59.32477804061746,55.17109778821292,53.7483259681092,49.62789912875429,49.55842007117816,44.94716610175499,46.06952956169409,49.11639010138139,52.64828138142669,54.06921700428796,54.39390739591334,51.22409533330198,53.96771877527125,50.096472044714844,46.93000779830129,48.748121858393084,48.66684228940297,46.90351645067506,44.74749168650545,43.6956437111192,42.21948841909531,40.51732348191864,39.07772492411189,38.501822503277275,36.95255103190215,36.17486375679912,37.370800987523275,38.22272862743672],[32.13953504608358,35.34285604901447,38.77427143113742,38.99769009075858,43.9321889104361,38.41428488815983,40.430737701671696,40.47086302265985,37.7885465315607,40.814635512082894,39.98034487531528,40.30144475770592,44.829201521059886,42.78572580947739,45.00456966961604,47.60674830660025,49.3591688380166,52.74553747754829,56.109769383590134,59.07395601403433,62.37388499831506,66.62845950066105,67.35884086158575,67.87941750642004,65.1373621396862,60.865358527238406,59.56226089407717,55.322162585002296,54.14285620532322,52.241387640582474,51.655942137925145,51.28353880155175,51.87482847814496,56.14641836982345,56.518323446814,56.863052298576726,56.42614278165038,59.64076107286273,60.97729261216861,67.01565441329791,65.2676124305224,64.27203785407711,68.46819651326138,69.5134305738576,72.01178808851239,72.99491732471228,76.69240497134021,74.24555294377893,71.91958725418078,76.91955575072718,77.89080883006352,77.63503523158617,77.78388546647534,72.1206196533828,74.82768370802957,76.84032531764416,72.92359137607109,71.04330163354295,75.41951369867098,76.36309254603486,72.28349189608655,71.55723605253246,68.38376732496879,70.18077095316033,69.34220938812607,65.51559500695016,61.87615427874458,58.033802373521574,55.4649489334781,51.4480979363601,51.1356534267354,51.44390199886637,52.874907398778205,57.73650534220255,56.52515245924528,61.386756887519915,62.77101849295075,63.70231847094879,64.64227598611873,67.6103195068562,65.53243168982891,67.11497175668516,64.0709108030608,66.56960070163649,65.06303187063266,61.888417895188915,63.10076370985179,61.40394862159244,61.12420965385668,60.79529161804505,58.11637717838045,58.61985919045148,54.64614718066688,51.942088086992015,48.62746316400252,46.20764394251636,43.64142372163358,46.37822768476086,44.45434412841721,43.35469737113515,49.12209688354853,48.98620436916614,53.40019660640533,52.627331021764824,58.014504906531734,54.34853887609109,56.50193163657353,57.47718216128585,53.5710940473466,51.83206646126642,48.14207097617028,49.57273719015589,45.511959274261244,48.13852705978421,46.906013924856964,48.97778036515949,51.0291468643835,53.226779996101826,55.02662698504985,51.826582205930954,49.319793086211114,46.5185604505862,47.08391312604022,45.47483770367026,43.280222877546386,47.59467202599808,45.20067785730033,49.69768328893746,51.84631779200853,55.69753248309151,56.811402393277156,60.06441626327536,62.256017964210734,61.40661905768615,59.488347036044274,55.739529249384596,54.63775946454832,53.78169217356992,52.76517440845701,54.694073674664466,57.080155392474786,61.26591719861685,58.138193182082176,56.250361011654036,58.763502477405964,55.46405039689588,53.15738210091879,50.53567658626871,49.872868530940934,45.47664336154238,45.370226812881356,41.22915943582188,42.866507925814204,37.405428004697804,39.41115811696945,43.64927735734899,44.79360124711433,47.2257442431445,49.31525858841728,51.54076394162623,54.472557102335145,56.25603466545642,57.00017525141915,60.880761867824404,63.015489919254044,62.309032268387455,64.18397887902354,66.6219203882436,63.755489270357074,60.49153067855287,60.0599266341178,58.034642485843584,60.3311138957655,59.972218561139115,59.40168541149369,58.4105585191324,55.82059095015455,59.968294708019855,62.09671777932512,62.87701099391207,63.59862192616639,59.28119323999246,64.64025310502643,67.8389566589008,65.86325327075424,68.7915612855873,67.50114326559547,72.59259741498302,70.67189387965736,72.72544034440273,72.76051458127247,69.85772082663941,69.04856423732625,66.59393525593953,66.28406011635535,66.017468077104,61.22771338055081,61.07129511275485,57.705845451936966,54.99746708804653,55.81044067992278,52.64748460399464,50.57030646935378,51.62182748221407,51.283451113490436,46.92697090419695,46.90903211809779,48.268197296459626,46.1646939506813,42.15275426825759,43.082682868269686,42.91544227204567,39.0621459697133,38.39166572584324,40.55501635722402,43.54098987180666,44.63715490937646,50.138524343914064,49.95002604269133,50.44154072214456,55.71904159999708,55.75788362571426,60.25241793421141,60.77405843222744,60.71954510347376,63.10215363961602,61.486693393767524,66.4068814503679,65.49223971547588,60.9040902908924,63.98624720940456,68.03293737134676,64.69652121154783,63.256153290782294,67.14986213378052,67.68771365485958,63.691073606762316,64.10054575300151,59.36929667292481,60.5291236342956,62.06111503382304,58.89038989134228,59.48618933852471,59.14920525764985,57.12935764130296,55.57950370157208,54.31455672801294,52.80513033901767,50.344457812590775,49.54761209099409,47.75827860525827,44.81243388195011,44.197058348477306,46.763200620065085,44.02322988833153,40.00230733941187,43.167468810965865,45.85777398192725,47.83880677663712,51.33441548191151,52.574444462694274,56.58509416800126,54.073626718903284,51.18313111213566,56.049769182291314,57.09993832184088,54.27871717129288,55.64797763920481,60.79319597750943,59.189907930798455,55.88627437503464,59.685896168781014,63.1918544351972,60.77794959325173,58.185742991148636,53.8801400099231,57.294692450685034,53.37008297558164,51.48782273527743,47.67536957570571,47.405553342882456,42.96327292550052,44.43235617645046,47.5344350932813,51.10169350339824,52.56013371205346,52.53544333301283,49.673897001505104,52.3709102204428,48.8348921004188,45.20806114048987,46.80904267357389,46.31019220820489,44.752588012172325,42.92776467508743,41.380410940729995,39.68195098323612,38.698195986095904,37.17412062249548,35.85674052693876,34.28052643914352,33.894552319562685,35.101057470571966,36.019940719901335],[29.84374389737615,32.88692169706706,36.089848992331746,36.19015656966878,40.76070892723316,34.87762735947139,36.57371554841187,36.27689468862812,33.4662071401577,36.45107801609397,35.38500809733312,35.50997330732965,40.22091117018736,38.310254714568366,40.259399775930305,42.825957335978224,44.81205466172971,48.126516302566806,51.66758096728342,54.5160814707002,57.872965084200544,62.07876246910298,62.93618920037514,63.606612552334184,60.834673048003424,56.582450256490446,55.215871891998376,50.954997083019485,49.5533724997597,47.51526738422024,46.76121194304732,46.341940398832975,46.796629766652245,51.06687655808987,51.539916674593115,52.02297988907105,51.60133543971545,55.0034575881642,56.47526739977797,62.47032061804737,60.92929171046587,59.78186426409334,63.915126792391504,65.13286118281441,67.7113881776116,68.8639315381855,72.47654776160496,69.88942132466633,67.74358053397641,72.77788683547897,73.54858445849891,73.27032002150314,73.26922425384261,67.6249031063924,70.17753686124865,72.1621420169857,68.30531087342095,66.26941309200501,70.61058271123544,71.70269449099227,67.61225139984808,66.75674735146808,63.5105592062378,65.4060020175391,64.66917280705049,60.78720842764967,57.25532575127306,53.32933060750613,50.93966881445364,46.824154851218935,46.68352807096045,47.04299506061692,48.240766244626926,53.10647992448682,51.718038133568996,56.482547650036004,57.88145889009328,58.684514157972245,59.6717905408742,62.70537984225188,60.615740752099214,62.335321651153635,59.28064326205925,61.92901381193094,60.52616901768594,57.21463657624742,58.360419466837406,56.50837980131079,56.262970408750476,55.755661655331714,53.13525373165816,53.60845786798036,49.623564162045355,46.86653531178557,43.63482142737474,41.17398343187169,38.715871393160036,41.33360769574827,39.47251647192928,38.35416942145075,44.16594513361373,44.227400268327344,48.62169116478294,48.09739833229426,53.62933242454879,50.155979392972604,52.44692729722934,53.65195980385319,49.909819817506985,47.90720442971249,44.3182595775445,45.53183056080719,41.42358180827647,44.1124288522228,42.69583027999832,44.96249457856765,46.84859300800645,49.28060389818432,50.8865036790517,47.47906190247012,45.136461848274706,42.34071803455026,43.24387823469707,41.60432553477062,39.41457904451475,43.860526726399975,41.505668900439446,45.97482130576676,48.19576545269106,51.82585741631383,53.31443356963652,56.489000472166886,58.60796517472116,57.48305101444961,55.747245297376864,51.93416774198603,51.24432448251405,50.212991526751686,49.214196048119284,50.89561996362851,53.42325856309347,57.411599054612736,54.12651340160733,52.210060446800284,54.544361567993455,51.090088136601025,48.90699707748192,46.14454614055823,45.51995811424881,41.109943449670055,41.03858731170029,36.713648332164446,38.30426795715403,32.772242702627764,34.547744625708575,38.84392425278573,40.048684676709534,42.638723380852696,44.64683557251276,47.13845073048241,50.22300283585228,51.80145503744372,52.86169291840423,56.598734459470265,58.99072953953914,58.58888506890227,60.47351300203622,63.11638768556137,60.39662957310892,57.06458374795415,56.48849315708117,54.27577559303326,56.30618549607441,55.75312336704807,54.98814580994843,53.88525641137715,51.15766323233895,55.23911444495122,57.50106652443034,58.35650967466744,59.290422468436304,55.0535045614552,60.53055539950805,63.796265933146486,61.82772830274947,64.5617872410721,63.17153260571384,68.31455178723205,66.57925090633124,68.71180020111598,68.9161847663615,65.95888090494424,65.35341032368169,62.983285989424644,62.75653257574283,62.68873933443815,57.96501915560124,57.85165894204167,54.69848682162679,51.73978159531184,52.82449621527162,49.45333287590809,47.36000398575685,48.845503764231154,48.54215097710456,44.038277635071324,44.36080037940113,45.91718880568604,43.649531367540696,39.680611416194196,40.99548567966629,40.95819529389639,36.8288566781396,36.49243379245745,39.07480761872196,41.96428177974255,43.24094594478676,48.73691525807443,48.19529932197403,48.813055585803646,54.05386467633125,54.307830397117826,58.590502893640405,58.791384912565725,58.44435718511197,60.59423337076495,58.65883350352676,63.632250998670294,63.02231701962937,58.27472532008566,61.10525482498408,65.37313949220248,62.18254646198232,60.49168772541729,64.2459792283305,65.15711889657854,61.216205165983816,61.19114370457703,56.5635565790048,57.2847319029254,58.88338989456675,55.830440933883224,56.17585648442668,55.94361094661597,53.615420139836516,52.23848157825018,51.25840750307222,49.48201507779415,46.91062922480547,46.511266903356066,44.77599291457938,41.72229955942804,41.34806518137709,44.20684251403015,41.46631404485687,37.454666193947055,40.98702986216164,43.81882398801236,45.76355227190774,49.05034367433683,49.95844627464794,54.120644737432514,51.99448451231322,48.892200763831724,53.580441030808025,54.99748672835028,52.26697822984586,53.304869484855445,58.612367944484504,57.38634748632119,53.903312359135796,57.4307554452231,61.22875159237105,59.10300445101305,56.4016552955062,52.06519604925846,55.83582875543933,51.958558840018426,50.22288586892221,46.13480892177847,45.48396755323326,40.82937911918679,42.60430248482613,45.49720348900532,49.19480345166955,50.31545806570169,50.10935498393878,46.84795563675945,49.263741638946826,45.522118866958834,42.07447549445864,43.31362410793761,42.94633851801837,41.02047864352476,39.36977385832133,38.238085620553115,36.30017935393212,34.91383622025208,33.93940154784129,32.86937518407252,30.899548173664318,30.170819909062143,31.153574422957192,31.914196030122113],[33.212007660138845,36.01919709561871,39.01244013896409,38.62634802010054,42.86139481153972,36.723518257133136,37.875870716182575,37.29311177557691,34.06155988409464,36.60192818109311,35.04622645917877,35.12068371894879,39.9523920929418,37.863991984309706,39.27171761749325,41.98129202320723,44.22956894804587,47.14948140314773,50.63361504757674,53.585456877410394,56.77580523234357,61.03771401522815,61.85229454755778,62.739832094619246,60.15007134835279,55.86410800998395,54.734304198010925,50.54466938786637,48.91503163490781,46.9104022782762,45.41100306551351,45.41387240148705,45.43968636864867,49.482263806822864,50.36157951659669,50.97289884186857,50.93271280638302,54.42345243594345,56.165962942651724,62.194468834594815,60.718074084038136,59.139890139285164,63.20327066631126,64.69596167364624,67.18038537963899,68.56623843121561,72.07337686633174,69.46956139571155,67.67724256055251,72.75984902337208,73.3590547232212,73.18819466953045,72.95859296365315,67.38484388011632,69.80647279293512,71.50580784736965,67.64316425490993,65.39003324543017,69.60560672125632,70.82937675718259,66.52707975542158,65.32919253706707,61.97359534879211,63.70625542309172,63.27103746271156,59.513013357790584,55.779888950293795,51.896602032010314,49.488639974892024,45.28801520917095,45.177781154409026,45.17312496614678,46.291775685453324,51.192910740781834,49.928172272723934,54.37104684987425,56.21144625834091,56.84084777285615,58.18161740285885,61.465934227997096,59.64970360357369,61.737096982030074,58.8915802832874,61.83460002184246,60.48212769491076,56.88508170610688,57.65415484932988,55.666398163351765,55.10041078454429,54.210372486974194,51.440874706382154,51.47334324942877,47.57544521387986,44.986139431793774,42.09861437803468,39.306502514044254,37.25368344883374,40.10016346497339,38.66595846294786,37.816849113894506,43.584611925307435,44.316713365206525,48.50817205388132,48.60473157901073,54.331398352288915,51.19215784972475,53.7707173766584,55.24184123293863,51.72767852840728,49.421237555598154,45.90725272212415,46.6406078772678,42.38473054711204,44.89975120751424,42.94937727869175,45.27490424913818,46.737947484917356,49.270389722813846,50.26258600123993,46.77858304316962,44.58941411022718,42.0493738391343,43.430302272484155,42.0776001809185,40.21630243850677,44.947967483804135,43.02428761040487,47.40959672451637,49.83395567486528,53.21070129412712,55.11753582871588,58.28908679010852,60.178801874474004,58.77700779464485,57.10361189838205,53.135712848397844,52.90929699417227,51.46051346494864,50.24037378980269,51.5909065741175,53.922661057365524,57.608020312799376,54.10401497487819,52.392791529536424,54.54700858198919,50.98658441114688,49.05046734353222,46.302095309256984,45.98042187810468,41.639809259556955,41.88127134619261,37.31247838208205,38.94542854359013,33.35834872657876,34.50798135353067,38.873652888320656,40.043840074285484,43.034919496680295,44.656566641122225,47.725374569322085,50.80586123017177,51.87170025192223,53.27001060090194,56.82423410452442,59.59424088934475,59.42975784518168,61.54408895747642,64.32761450244016,61.88348112112011,58.38112750081891,57.79126709964837,55.28586041873269,57.08099715478992,56.34178025638199,55.304907759644,54.16699739970938,51.081132103426405,55.15716327123205,57.53926628373984,58.64647716232381,59.79123739592474,55.85637597007365,61.47905072381807,64.77880618571038,62.71243244841157,65.02695106210179,63.32381270769278,68.54278184549075,66.84508666509505,69.28353844266302,69.74610151947398,66.84427725737774,66.59262785093969,64.41911102682096,64.39705879631263,64.62390903681543,59.97373952877703,60.040460580168734,57.15305526540222,54.009340382097434,55.46137318159884,51.936611559503035,49.76037262329745,51.66366158225731,51.49429646574665,46.86547117407786,47.35547397317257,49.182766117917645,46.885549678264724,42.89660391327939,44.485487237798225,44.63089770784587,40.33635828566869,40.12561875792234,43.02286332055795,45.78103459460589,47.269178653362246,52.60465056427077,51.8990663583883,52.668589464824535,57.868633074349376,58.283551016854894,62.40856186396159,62.39321514803544,61.809798354918804,63.757932393582124,61.531184999921,66.52693775978211,66.18875628240157,61.283982030487664,63.867762449835816,68.31102511931881,65.22281058200589,63.28516612557295,66.87282929241776,68.08643691314195,64.1777985185992,63.69704748780461,59.26752746208949,59.594291142459284,61.32081631700908,58.45752086247509,58.552353934126806,58.44776043877387,55.77708331776756,54.59688455908676,53.95292128018569,51.89142439452856,49.21562974996272,49.25422868176042,47.59296374252926,44.45565068401254,44.325830298003275,47.43178804758366,44.697863481979425,40.74961787932498,44.54969612215302,47.462083058074356,49.37000589151313,52.47121317855126,53.085972102477164,57.35832276544144,55.55601605053727,52.271611474637794,56.78339802035882,58.489301354628594,55.8144107538597,56.533843834821106,61.98332578928532,61.015515988837834,57.34033270464072,60.62926872402623,64.67497870070291,62.714595896446916,59.881033422377634,55.4821284714811,59.43777165749938,55.51145225871618,54.03256513199787,49.70555515750239,48.9138184102985,44.09731514298935,45.907541319104055,48.63682414025482,52.37810115195058,53.26436575734693,53.07655588070819,49.41962073157369,51.60838524654912,47.57434622147703,44.49632464306271,45.454750007441355,45.323654359126245,42.969543854649665,41.450824290800874,40.87022433563417,38.76332862382816,36.80488890946807,36.42391185320859,35.78017633113123,33.4614267254002,32.310332969782294,32.977376081885396,33.46578629462195],[33.21752165899556,35.73682435499678,38.541362028203366,37.595704970367805,41.565681772754104,35.35964370852005,36.0892425061531,35.46390851099845,31.888538924628826,34.0296252630752,32.23307923524538,32.453516496292025,37.18227956507904,34.88368415269885,36.07534500927412,38.9015936853793,41.16311820034322,43.857180824951854,47.226267599982165,50.27620281648712,53.343733987680764,57.64811563782211,58.39442785298396,59.354611993687165,56.879834398677886,52.5755906311555,51.61328492579001,47.48949518975068,45.8215498623995,43.948829098570066,42.09035429656262,42.44661019894246,42.36672907884441,46.24158994717688,47.24178882141835,47.7825335427915,48.0179073457194,51.39331748934369,53.24253327429293,59.319125580002996,57.76579714720895,55.96856562279223,60.01390376119547,61.600020288171216,63.99002831868828,65.46796012731946,68.93105558728075,66.36999895782486,64.74658532441896,69.84583051513393,70.41140496997278,70.33074395542225,70.02015226495851,64.49242588479606,66.9344834868577,68.42814571858483,64.52251206535767,62.24320925359734,66.39455102924903,67.58552861162983,63.16511716460245,61.860635863897144,58.50538597366322,60.0912161854503,59.7455228847901,56.08747609833228,52.20346035354358,48.384634351875924,45.89732344559173,41.70011047732458,41.54968377655617,41.38178714476628,42.52749253083987,47.433000561737735,46.306704867339974,50.67994622698117,52.69426622965784,53.362609161799305,54.83686305178641,58.20289858382457,56.59757573164457,58.81847401493059,56.191636115769604,59.22896396318069,57.806393457863834,54.088676716371296,54.60923673031276,52.69311022278254,51.84921370042383,50.92551257094817,48.00243211720772,47.871746344837476,44.026012563270456,41.58368341123732,38.77856252797732,35.86808219684056,33.92050389744616,37.067231695533216,35.893498419830735,35.46917899218473,41.009327526899106,42.216513816694714,46.12387910276395,46.610381493877,52.36908098483249,49.40134119275588,52.246371689929646,53.79653685881564,50.427450303945804,47.98650763000607,44.43786152896095,44.7518909399689,40.37546777615564,42.66100528677677,40.34652423647548,42.62988623955743,43.83194931435341,46.362439483646966,47.009609310520624,43.54273968170557,41.41186417844685,39.043324243860106,40.664385187681184,39.53024055880275,37.94238310958379,42.848992799416926,41.351203513361845,45.64436678288506,48.25742002297358,51.50455366698621,53.62372778115968,56.86194561237164,58.503620746255336,57.00245135037692,55.24386324286148,51.15829780217847,51.200739529919815,49.41940261676787,48.006334980201004,49.150031264409215,51.292386818324346,54.78878204103799,51.18395114662967,49.63104774256549,51.71164921740355,48.15589275882954,46.35545933602996,43.712876146908656,43.65346640285864,39.41079307558098,40.00300706490122,35.38883123778039,37.29718233368253,31.86474913699609,32.49912209523001,36.7869197438903,37.72088328201157,40.96325119147684,42.2140334637937,45.601569089441725,48.50655660626532,49.24044657550069,50.72475815486596,54.19605873119998,57.14450708722578,57.05774562226907,59.36496201068202,62.190939440613654,59.957413573999816,56.330770533014324,55.78164340798754,53.088361701091,54.797041642338165,54.01341929762558,52.873399396991985,51.83600386516049,48.53132813906561,52.71734398015648,55.0185575249078,56.32087407153975,57.44661826619126,53.78426736813851,59.454370521135154,62.72574561426954,60.5412464323916,62.57178750071073,60.65156259797566,65.90070222865062,64.1331995405402,66.78329562069447,67.39330670224415,64.57581977833378,64.56269837669932,62.55204457433863,62.70872319519896,63.166306103272674,58.57001176320494,58.850115871514895,56.1846951629839,52.982769776991475,54.79797792030434,51.25088217333819,48.90663713008218,51.095031244677656,51.17661324535402,46.44427881496243,46.890454707363276,49.051707228299975,46.93295195802447,42.771400207065284,44.551763105784445,44.996760916233626,40.59858132536065,40.322560270756874,43.55872739328542,46.114134792852866,47.94730983538629,52.92751641713005,52.139717228987784,53.16993203306586,58.33431914406381,59.05501832994366,62.9497618364022,62.83804010725845,61.982023770656774,63.80246878507342,61.31190794440238,66.27967484626828,66.11183450152772,60.99022034583277,63.38669106103228,67.91164669134655,64.83862509248507,62.679222047169745,66.11440406761838,67.50099685747173,63.5988096248674,62.72788746988956,58.52752828841987,58.63559656856918,60.54584910582372,57.94522089952443,57.955554084735724,58.128507082708246,55.16304336475158,53.967456975858255,53.74783919341563,51.60143809956753,48.6807287866895,49.00090480458584,47.612885979394854,44.4342317669949,44.30775461432526,47.745214293362366,45.17667608979194,41.166534896150786,45.08544992008138,48.17952243096655,49.89478989195504,52.874025875206875,53.164188776225856,57.5174499483126,55.97172838746891,52.38520201249354,56.73671724222909,58.66248980880611,55.98163465212754,56.33677817959211,61.94193894899855,61.15453756181372,57.23108358787603,60.290285098559536,64.56897549413677,62.72190301288897,59.72529938308087,55.25387332930349,59.34770360953668,55.36234227338649,54.20298777100663,49.6293682753895,48.76714223593737,43.82164628572212,45.57569111857785,48.138935532477305,51.885333050583725,52.57364367438638,52.48413229848695,48.50541604392357,50.55945270082059,46.28250809325261,43.59076690002027,44.49254010834406,44.67217054412758,42.06549801902603,40.44752968077367,40.36063850539111,38.323773333108946,35.78056822634684,35.715427906064726,35.63838662115559,33.22736020723987,31.720503801712894,32.26413833159849,32.64626231913141],[34.304941208794176,37.00009078451281,39.69119512607995,39.59417443287683,43.32739984579278,36.88069126135522,37.72893366841392,36.55283457386609,33.42146835583621,35.97933143971607,34.07681419565205,33.621141718624855,38.80211426842154,37.110402370264175,37.93578700481792,40.487056518227554,43.211583887334754,45.968900537573354,49.76163610894932,52.447772964948946,55.72144470352714,59.85268785687149,60.88865853851439,62.03392002277336,59.40804781645499,55.20844869904087,53.955811652466885,49.77019556239346,47.73733766498943,45.42017890138081,43.603125946696856,43.39385609576084,43.019249976944096,47.05133696274283,48.22247744843016,49.22175270984115,49.11934551809724,53.04872893899493,55.0101902525875,60.85666616823728,59.83517198720021,58.054527328538136,61.95892177384512,63.7455549754512,66.37548949107494,68.01473137483588,71.35778959631735,68.52001057636393,67.00693441591628,72.08920439420709,72.34575866160485,72.1069216951629,71.63050212982904,66.1179359429091,68.18396865037217,69.90553263835055,66.2170089785296,63.63778594630591,67.76653239040002,69.3368972126823,65.05143166927208,63.58184004154802,60.06503510264144,62.01288938318515,61.81638602617105,57.96810136593463,54.48305397442822,50.46803832713541,48.44768216450462,44.09400578124488,44.3155008190044,44.320550226899826,44.98090606283122,49.85014053838141,48.24590747443027,52.3518820593395,54.29585093631866,54.5481971332033,56.03228747494599,59.45715207140047,57.55744314413685,59.90268342008586,56.935171705548235,60.13527145553945,59.074467595494106,55.29085026601788,56.01588057154305,53.634498687516825,53.26078020978795,51.87568223158973,49.31312489507081,49.178142452157694,45.30294166188248,42.601329911589104,40.052004722041374,37.13342263151525,35.49106055652168,37.872310898482276,36.56806816535708,35.36069964677848,41.32071825870275,42.20000722924596,46.503678789646294,46.885322008747444,52.79525454565624,49.99260565211782,52.543059983464246,54.36976134384236,51.11048818390389,48.48046029283991,45.298477617102996,45.944982233171906,41.805522126799055,44.51053474722974,42.4554259875054,45.086472116172764,46.32239375163679,49.20164804002252,49.9175049687514,46.12667439715226,44.2559593916143,41.7543960000205,43.60214505497253,42.16562126885923,40.24986927804514,44.98064351913373,42.90353620099843,47.18398039375799,49.526239602711215,52.53355834279258,54.892938698754136,57.80673579458279,59.74909758565036,57.95269457450829,56.709411232005024,52.78797747809731,53.06591915245788,51.58254124997224,50.518891897830976,51.55236195229896,54.14379940610271,57.53536887346782,53.85863299225625,52.075446255624136,53.91472609754876,50.11773198905819,48.39180564046688,45.37600642609356,44.988734138730486,40.671231131919065,40.71507613611818,35.92447533250899,37.08363501983192,31.371342699379053,32.32816983788494,36.778410219062195,38.295070226044864,41.39887484709414,43.070169663759785,46.444071588759286,49.899163170829986,50.73520553721555,52.67330429380464,55.948893145545725,59.05024594831468,59.357080972311714,61.34761475311643,64.39524728702435,62.08390585643573,58.60619963094462,57.773458256712516,55.11904127219452,56.477008047772465,55.41604997543915,54.07437976847713,52.63856916114797,49.44536178443268,53.2085624266869,55.939944365826705,57.05065867669101,58.64724696693419,54.731624220671335,60.459846816845975,63.86313752332828,61.92832706679368,64.04091478127808,62.29547687195645,67.52847623955317,66.23117585450265,68.67175893356308,69.33398352983178,66.31864772913626,66.2580928388861,64.13545497982248,64.11198980227437,64.48100288803771,59.974664384568214,59.92352312430485,57.23883407731359,53.79967487673388,55.3165646124881,51.536222349942726,49.56821748705382,51.863048006848516,51.4872611267311,46.862295099064006,47.932756269544086,49.669730796032326,46.97440142722118,43.396922644837296,45.30884451608569,45.31088972561016,40.885276789374075,41.24698568130596,44.25470684722936,47.006693578219526,48.31781003757682,53.8983940534073,52.803453100169605,53.44172666542521,58.50701596783808,58.857974450895505,62.870378008154056,62.46434100863761,61.75410103704711,63.42804973883672,61.01290472517804,66.045187784414,66.03539602383258,61.210120724839,63.52832162512945,68.18355243196487,65.36961028790262,63.293325384973336,66.75025753882288,68.3692308902716,64.60349101278732,63.82503950888818,59.41923592329731,59.218827319248106,60.83377599734001,57.94304973533625,57.66372806657234,57.3983348224563,54.559765947580956,53.78329817118593,53.16143122667943,50.73175006123563,48.24768288704096,48.70785855824569,46.83604498705515,43.661512728766645,44.003193857420705,47.07863083496757,44.208080431124706,40.54481312881047,44.66092826381601,47.45287279721166,49.50455736990346,52.32011965359818,52.766355186080645,57.09300894803714,55.65632108908881,52.48828102191526,56.783193110990275,58.787730656069236,56.32303022504275,56.91679882089868,62.33710775680071,61.762176007930925,58.15884520217905,61.21054122116482,65.37938960530144,63.752601115609835,60.975845149531715,56.689131624258174,60.915934473320135,57.17662145384417,55.625641560294895,51.26764132385221,50.05334290963418,45.20147206178854,47.41775524989032,49.9378562521981,53.760170906037985,54.333119639921904,53.805431948735006,49.92364969695417,51.72967943804174,47.67120844650065,44.64794615101446,44.99159954420015,44.773854334732945,42.06324959560692,41.06020669348165,40.74821574438693,38.21218035022389,36.20628752363857,36.55483362328691,35.7795682300047,32.97623520461723,31.653207570359104,31.908342536133077,32.12479302653912],[30.38571351368163,33.24454199396227,36.095129679571464,36.315075776601226,40.31737558779775,34.01235420905697,35.28699665343883,34.363058963616936,31.519360501337978,34.4674679747592,32.987295611645344,32.62904719751068,37.715204252505096,36.12662746202464,37.48789654840258,39.948635561200234,42.41394560632311,45.54898164623036,49.38739193864546,52.01539091651684,55.44337795274201,59.54949069892276,60.61327163896088,61.55386120110513,58.76080073477749,54.56706348460935,53.11136045694204,48.84408146877908,47.029015824596094,44.70426493720491,43.57381793252374,43.018614327666256,43.0860424176393,47.34457091002275,48.109407088218774,48.94448191558838,48.51878286043579,52.334970404637765,54.05305636926397,59.9136276716683,58.79091412194579,57.38727659315353,61.380047685266256,62.91173136071855,65.61971544837888,67.04940985396333,70.50174031366662,67.6850431863077,65.85019389147753,70.90767999977949,71.33164211814493,71.00720428685001,70.74469199602387,65.1527998263536,67.37578370957625,69.340674722302,65.62539998540547,63.26506571688862,67.52438796995634,68.94173311265226,64.83011868209663,63.68934210899261,60.28221739975413,62.35609005149818,61.862313275885995,57.899731055999794,54.56094705636023,50.50385058928804,48.4567500073221,44.17199408678242,44.34219176624111,44.690500413096224,45.46194054865356,50.31985943119604,48.62880248321254,53.08831390197269,54.615457313973096,55.08107505944173,56.22657078803961,59.417891701521704,57.286946400315415,59.28854048446194,56.15395192719427,59.08518272777564,57.94150945045127,54.40255602976253,55.454527843810666,53.23397111013032,53.111296247575126,52.13508472249192,49.66749477879942,49.96638393918499,45.99102916515783,43.13952535978911,40.205753105406316,37.59637942057223,35.505593296418155,37.765976898303656,36.05217550942004,34.67097941657439,40.67567248697464,40.98317718933844,45.45629819785909,45.29948541774812,51.06009891699119,47.94359849437187,50.29994148117294,51.893347184585906,48.42653610544223,46.0391799861238,42.74223502514936,43.75764334657164,39.69094696307714,42.53783701909225,40.9059225837789,43.490824775053795,45.09969177591757,47.89485278578385,49.154552024715606,45.42518071074536,43.39069881539634,40.64751412815606,42.08881715129449,40.407097539688785,38.21250951427372,42.75311365259644,40.34172551229441,44.719845642887925,46.93182975734659,50.17440730865387,52.1981356873847,55.15012090613206,57.260555636822616,55.70145654566295,54.364747504053504,50.53848348969326,50.4385358196778,49.2643335087234,48.36277231874804,49.67563118971892,52.429565691589154,56.09600281455548,52.59222269294484,50.63232757529793,52.64922920079972,48.93998631910113,46.982910858235805,43.9594692894397,43.330104563272656,38.92338844331715,38.74567672491035,34.129229294562485,35.347805549475,29.640589158219466,31.13831227394858,35.56197740956618,37.06013305617644,39.8490028435926,41.83499970914518,44.72800395311731,48.1636937634657,49.44168072995373,51.06548486737729,54.526967696781725,57.30974823886748,57.40062697693423,59.22438271034953,62.160087999789184,59.624287935958336,56.26234910071837,55.44788501407918,53.01618416598055,54.59434936972972,53.70486706482057,52.60691360163657,51.23027455941493,48.32600937601882,52.157446029711444,54.75161813724144,55.66374244610687,57.042765427995434,52.87269812648178,58.500153961920155,61.87788536432543,59.998259957228505,62.46821022684754,60.97401107808328,66.16388668721241,64.79529867496741,66.99808884011301,67.43888287653624,64.38142789929772,64.03300068293757,61.752939386545705,61.58185972082586,61.723121673403604,57.137313792905154,56.96890629727065,54.074995423062745,50.7730168539896,52.04877519249158,48.3818338091638,46.43276320257476,48.430762165251636,47.99281065244288,43.421059836441266,44.344753367497226,45.93156948734368,43.28405295919128,39.65636337767909,41.39940744892938,41.31362522056437,36.964456015865004,37.2256426556451,40.07665426696759,42.90606370147236,44.12656329971972,49.78706942530648,48.798108172812206,49.372663833407955,54.486864466758746,54.77274973563384,58.88333276335054,58.644747231442814,58.07273362537904,59.906775428968466,57.67987066559752,62.707132151093084,62.487127141500466,57.72621108441868,60.236823126618525,64.7685368520618,61.85082839582722,59.936960490983466,63.52251594407876,64.91355333654437,61.10637341834931,60.646388138066605,56.09383350015722,56.20724999653639,57.75791159400062,54.74277709641364,54.680888813840404,54.37348723619406,51.76333943739006,50.78277920467006,49.95409582551788,47.758143572594996,45.28139140271088,45.40388337740883,43.524958658768554,40.3854604927688,40.50219003673653,43.47230706057538,40.61722563187556,36.83955897929075,40.79190283828955,43.585661198559414,45.63117997340252,48.59840387119538,49.22588535253013,53.500752817143294,51.831193255587664,48.72652076413615,53.1628116298379,54.97580780038262,52.447953964411035,53.23588493392426,58.59345813442742,57.83428179150704,54.324557600735695,57.54442452279196,61.56877063297452,59.81893036882284,57.11067087930068,52.84651185455502,56.96781813521057,53.248966085330316,51.54540538902266,47.3153399952159,46.18415601120044,41.41199615410576,43.61613369029799,46.246165346907695,50.05356253377627,50.78167498898375,50.25084175749293,46.622786044222934,48.61445449372873,44.73908979665585,41.439736247562166,42.03179872089586,41.66941129363993,39.271452953006055,38.10425728106091,37.40114572605084,35.005537098908725,33.36054674170718,33.245129389809854,32.208284678860295,29.64596786115554,28.595638674548777,29.1284129201401,29.589377138920863],[27.806892780034524,30.411689221409603,33.211869487626466,32.7599904936326,36.75281744743167,30.49622881219495,31.569193995331034,30.92197541232349,27.743214222481523,30.43871621805344,29.009642169591157,29.045874504169337,33.871225654347725,31.96715295948247,33.5647866426925,36.163400192555336,38.36371094830316,41.507736856632036,45.16135167265268,47.94572606333747,51.30047320010862,55.48261028633361,56.420766039261515,57.259265631044585,54.509902592357925,50.27040315440425,48.926184202572344,44.68001246224264,43.05670565846458,40.97085530565899,39.90240162522381,39.62919498418104,39.946400344885774,44.143670662178174,44.732909276093935,45.27628649066342,45.01528694155417,48.5046678947627,50.15169206814668,56.14473424273973,54.735799764415496,53.33910609505323,57.411152634696755,58.82757619923259,61.428382705445465,62.778690645530915,66.28953979165892,63.60083183671414,61.70736669990696,66.77681219362321,67.35408426622618,67.1157640504093,66.94587698433321,61.339542745083335,63.78470787489809,65.62827011997817,61.78976687148906,59.61398059396822,63.902450423801454,65.09608468412391,60.93309189110597,59.92992815382253,56.62977544293618,58.542754450154945,57.91506986478082,54.02668457031632,50.52377775283269,46.55000777036544,44.292295004092004,40.08990949468251,40.09924886097987,40.476107492139484,41.455929690522254,46.32190670551982,44.82135699755723,49.505491530865804,50.96236893385932,51.70415943634973,52.77207884417783,55.88935940032082,53.903758692369145,55.799097838987514,52.87090341377457,55.69509792694385,54.32698600454456,50.826779221214466,51.7763237481608,49.84797018981935,49.47687245227175,48.83882422640567,46.1822941424632,46.593195933355815,42.61177034074081,39.87168145974865,36.70534919331738,34.17658813958221,31.815156727620565,34.5016531329724,32.82177669167418,31.98653518688804,37.68535444325648,38.22948517462692,42.41120213644705,42.35972533916029,48.03560285330078,44.84589401811641,47.45851374559604,48.91420228481707,45.428388480953295,43.0979032447751,39.56971837693171,40.277489198545815,36.039734549795796,38.632617663087665,36.81663860828032,39.245912405886216,40.828622967517276,43.486507248098796,44.73737220204712,41.138288971522734,38.98504316778379,36.27828877624686,37.642071323911296,36.093154092776544,34.07384956066451,38.75001244183554,36.72722604983514,41.09785137209365,43.514849126300085,46.85143197853737,48.824321392178796,51.975983130386844,53.846497791874626,52.41317598161386,50.77519367261196,46.82480044925138,46.698909388578755,45.28404432577684,44.184518311848606,45.498988260869865,48.0515395194692,51.740385651422315,48.254131235998315,46.396834145383565,48.52235705862222,44.92818525308101,42.935247341434085,40.10603679418618,39.68323699644931,35.32092335906199,35.532923401104476,31.006427621952177,32.7914985892536,27.31635729929627,28.502355961286877,32.799162148429374,33.87353808716685,36.782378099418736,38.46532544805323,41.40460788462921,44.49949453174599,45.688731725336844,47.08277501469355,50.64066350475633,53.37224858650999,53.297000212827115,55.30933288191852,58.16316043572198,55.7184703607114,52.24889843568512,51.566596320322866,49.06213353592432,50.79370219200701,50.04098014616209,49.04193643351159,47.914344296532825,44.922930258356054,49.04010242181417,51.35231740232935,52.399865554849335,53.49434089689716,49.509653817150465,55.12251694069614,58.4246325961877,56.381092550895,58.76106994427248,57.1495487578522,62.353269632663796,60.74210403630441,63.074861163387325,63.51779453048482,60.568501921001875,60.3001494710523,58.116427311463696,58.09048826045195,58.35853848356035,53.74211999573874,53.82403035199867,51.03290096748629,47.81899981975489,49.42518804461868,45.86879670455518,43.62910914922379,45.718236605442904,45.653975049092566,40.9590014708276,41.54454553819994,43.537092603063684,41.29559016364992,37.247485915623265,39.05208010574488,39.383631571672666,34.97163156418279,34.87946485877116,38.08406450520692,40.68330637649151,42.39359377231929,47.53428903059145,46.623716175761494,47.564286288984434,52.707795449150076,53.39324015590795,57.2824310822641,57.139305092943424,56.31840239094632,58.16229509605732,55.74718168573236,60.725948873397286,60.50820746173617,55.46212446665935,57.92073841155901,62.427767401270565,59.37962817922117,57.30416265206682,60.80969857954475,62.17185108226682,58.29555107093984,57.59475577170753,53.246673110837584,53.41844064601673,55.21643887291468,52.48703686677962,52.55819835546916,52.65394782599112,49.827036537652674,48.57501148945194,48.198853611031495,46.14141276856427,43.26537770417419,43.4407846601587,42.0067161922422,38.841446420551065,38.67044244094766,42.05555116019586,39.49116305675514,35.46181043483093,39.37427897640394,42.46489377098391,44.18696575712193,47.16967470725884,47.51069993775893,51.84941926145886,50.27456103070201,46.75123222302704,51.12688226686439,53.031050101793504,50.38609604193016,50.83373092146192,56.38259924124833,55.62993534632943,51.81111005201872,54.90206293178811,59.1210309321412,57.34115312785036,54.43163530570938,50.03744744581454,54.20606056863158,50.35121418054148,49.00605790985807,44.51540960060157,43.473456280943076,38.566371559791875,40.56198910071877,43.110912837035855,46.9035410218816,47.560281204417315,47.26728868701874,43.41523564569256,45.464917568295526,41.36534581088017,38.39163502134907,39.25759649650947,39.266168047353005,36.81536506263601,35.236356994399465,34.89318311584894,32.81970088777662,30.573560777845866,30.372571127993822,30.02967661059114,27.642551107765225,26.292417979463355,26.965633161916198,27.51772311693874],[27.22083377448178,29.540648598220944,31.821947473606148,31.772522786040085,34.96584898454497,28.340124195052713,28.999381671757057,27.531715629167543,24.58782285168816,27.43063564428851,25.658026706727508,24.92945113400621,30.225818986804864,28.987094273686292,29.96853124596755,32.276196769357,35.040143766822766,38.1310942269537,42.25333785370203,44.606648797835646,48.156616313861115,52.12779783637354,53.39738103842125,54.49925245714277,51.61467121493974,47.518105677204645,45.89630506955009,41.6308269051367,39.528305126181515,36.99657310932232,35.843389361257785,35.08983896916209,35.110361396546494,39.42536144218025,40.17401224743815,41.154036015919154,40.65266116315051,44.68699881329722,46.52872341147912,52.27580265213052,51.45129605125751,49.94344187826953,53.829566982119815,55.535376167610686,58.37300481156131,59.984582905779874,63.307097977118005,60.30171873127878,58.6646617261243,63.71637380228956,63.887233541373874,63.52276072624811,63.10898323348272,57.555733968149674,59.601156957088975,61.57296845415356,57.94895115147587,55.44134578673143,59.68320502880403,61.262709116003165,57.21045143807574,56.01288152610282,52.559246134207044,54.83642836839568,54.36815896588206,50.29591290509733,47.2357266888326,43.05900863737746,41.36421080560685,36.99640369928142,37.478771481817766,38.09840445142915,38.44777252901557,43.2321315067248,41.18604073862453,45.61277630976461,46.94612647146854,47.30803629073903,48.36780741494998,51.54632870377263,49.33883355226066,51.41332415907022,48.26299700729376,51.31668587498896,50.29407282003972,46.63852400536234,47.66911139451218,45.29582385702854,45.30010945593093,44.22824501398587,41.902338691011025,42.36300679879024,38.351817897192966,35.36399393120648,32.42239119017741,29.919194134483597,27.86362217323585,29.813037455394582,28.092698405574346,26.729118485992295,32.7067703635065,33.26069791260976,37.63327514865679,37.800012409893824,43.67867049466413,40.85315204126435,43.42180042992762,45.29220133913555,42.1268176442738,39.40264281386752,36.29340122761775,36.92129655804025,32.87338925244415,35.76638856531007,33.948733363728486,36.808982966550616,38.196324670779006,41.327570015448124,42.41654749775983,38.40383772688164,36.66902435131044,33.91980513131157,35.8141694570542,34.04702710152741,31.862448127702283,36.437502352124866,34.134765304704395,38.34435895863279,40.62207260303486,43.482179076781875,46.01427269525876,48.82623315871064,50.771700299029,48.861493540601764,47.774161802274286,43.91551273527103,44.42863648625277,43.035351374935644,42.22093445074485,43.1440038960403,46.13019784202001,49.472042710439545,45.818762975631095,43.78764843782933,45.51756329720287,41.62759744201645,39.850850790333205,36.639976171434775,36.04422556780363,31.695033354956426,31.588566035867007,26.79497483305143,28.019928952137718,22.384639522893238,23.405399208543603,27.82555090906326,29.331912521420872,32.31377293319577,34.14864853066926,37.36050812682865,40.949116766545266,41.963281977535566,44.001048291146304,47.225458263352344,50.30687787394266,50.832750502102236,52.6140445130735,55.802007676514826,53.50006874501035,50.10808223063356,49.08562312608293,46.43499735046385,47.60808764443029,46.46585893106478,45.13185243236639,43.635937915915,40.59075819666314,44.34525597282862,47.05141022442371,48.04865402763095,49.659187265128914,45.63989278511886,51.36666040535905,54.7944520872523,52.93413158490449,55.13966441827332,53.55485531391706,58.761227364761666,57.666773971602154,59.91902628560747,60.567775993254216,57.45821703948782,57.3804871067237,55.2413395070237,55.194659193652036,55.6273007357623,51.20585620368531,51.13325700199316,48.62267016988406,45.03658299134141,46.758336440148796,42.89426160529654,40.903205239447665,43.52625079099273,43.24239121505449,38.559999967378666,39.90807899159349,41.820948746601445,39.127896840894046,35.615151355062764,37.883664612304976,38.100660642548206,33.54121280112206,34.22282924611456,37.6205002749975,40.115159282914185,41.66784894714257,46.97594226277593,45.52561779534418,46.361879951534505,51.28317518241274,51.99135402324409,55.639206745840625,54.98710023815632,53.92823929446937,55.40606601051077,52.70505915969984,57.70900194978791,57.91745343428702,52.928782094940956,55.02211101937464,59.78827020969205,57.0863435827323,54.80936546809593,58.12040145243918,60.0099046233834,56.33539203277805,55.21577671603884,50.932825264295865,50.41825224118697,52.09827583629678,49.38708385435398,49.008177395286545,48.996686068064264,45.91299186796646,45.11102754105,44.866490290381876,42.38056964199623,39.65541540580724,40.393580868518406,38.8083261571197,35.59839602616766,35.988423564397394,39.43462860597857,36.79787025723778,33.114611254191296,37.42356651560975,40.41692250152638,42.217345790557786,44.78959673231194,44.8145918105569,49.22535339527042,48.18093339144043,44.72467837061996,48.760779348874145,51.08638999228668,48.720070696995045,48.91572975657661,54.43296264180317,54.230508303898084,50.47617371374793,53.19395916262329,57.596841254840584,56.28717851348831,53.44512022986807,49.228730320389914,53.76054784756135,50.198174147274706,48.81752607854698,44.29303830403241,42.64832224149983,37.73403565521941,40.28589346461635,42.47797722652979,46.34562932282341,46.53296486552043,45.77419830624331,41.617665810087296,43.12568512051576,39.0150791478517,36.15054106414487,36.1921568884655,36.13708637081285,33.211000082394946,32.28052357771091,32.36657426124112,29.769190949913366,27.367351549187863,28.209566177214544,27.809515079053362,24.780826627484146,23.118625510771608,23.23617315225218,23.444876123484256],[26.545620835284016,28.461292448810674,30.56691063740223,29.650160126125865,32.6527311468509,26.081997560676232,26.279608127738,25.015613650306246,21.533812858598623,23.88005893534145,21.94897300412841,21.654177271025173,26.703609844471085,25.051952163933777,26.0875276070685,28.60955661990325,31.18822130208775,34.16517301552429,38.0962866469454,40.646696370115436,44.079094517167746,48.15484902107281,49.28329084655557,50.34813630626427,47.560974367610896,43.40313556036327,41.964104292771864,37.73549347184008,35.752555555050016,33.48645534487667,32.146913587525965,31.852470238450774,32.01596124390335,36.19432284672868,36.87703771310608,37.57573743775842,37.38328577216082,41.09443209351959,42.950972410437885,48.8533337432935,47.74643082807128,46.10764306926869,50.06126194906723,51.73452194003326,54.43636637809159,56.03996837796457,59.39157342968246,56.51116760764186,54.92063095981814,59.9995270610271,60.27864141108031,60.035783757734215,59.651667600902286,54.10189936500262,56.343249246980406,58.10135594952687,54.34502464868399,51.962040480455144,56.1996800693923,57.58827739675488,53.40905518199342,52.25241291190576,48.87333933345259,50.94099663033256,50.4174755510157,46.45011831070868,43.15328831647103,39.06078354923132,37.14044999942823,32.812009366030324,33.15010933113829,33.70892535661941,34.23438025213018,39.054300949144604,37.2294351538631,41.82152189677239,43.207183316312694,43.8182936753349,44.901731735240574,48.081514442329244,46.11385436565309,48.19097596323172,45.33107480666773,48.36196175513859,47.11155375602853,43.40505705284687,44.20337573466902,42.10435244040666,41.73255420691911,40.91234456573696,38.325080320169654,38.78105790645792,34.77490876739502,31.95331141050537,28.842257497119963,26.312317324898995,24.064329873024903,26.603918449038762,25.07873896086594,24.496470188654833,30.061504230304017,31.13508485294527,35.07666722601051,35.57822615310957,41.39853032469588,38.61760775273626,41.54655673872865,43.33865533720525,40.247583848290816,37.50916265549753,34.20015394071619,34.31227708265733,30.048087956622254,32.5822279306193,30.36693072992455,33.08926587795771,34.29311885805612,37.329670894370025,38.20388334729117,34.28054040754879,32.4801387006279,29.850792440228137,31.857535292759835,30.32950989833106,28.46196247475393,33.26414961230648,31.55565675888932,35.69012567824291,38.2437257359449,41.101493154641986,43.70131162492352,46.70811371449521,48.31836586589271,46.46277639038767,45.07860339757213,41.05253884123028,41.69494813311108,39.91362329530054,38.82293111124665,39.624246382887655,42.3391197513761,45.59598746182071,41.88531124098477,40.025655941487045,41.80495797843501,37.99637240092819,36.26849487230921,33.271578968710934,33.01618982220919,28.75980268230666,29.220700842786744,24.48302978610035,26.386848041113243,21.1265711994458,21.47006347837568,25.70951790792445,26.680470445608332,29.940309276282168,31.270952688388018,34.734295338690394,37.93306852131123,38.669839808859294,40.577734102444445,43.84014909676843,46.98992180955953,47.422427081504104,49.470048980589965,52.61251388168181,50.49830030460659,46.95026242806587,46.061924245774925,43.244958654178134,44.49612209084055,43.44017541352809,42.12437903220765,40.893333846601195,37.63514550983913,41.70110351866307,44.13048183403034,45.35643539560646,46.7233887930373,43.01345309523958,48.75453652132896,52.10336863446153,50.04224047262962,52.01749891055816,50.209706013209605,55.45603691788189,54.11834828236352,56.59949654808172,57.328336863342244,54.353514875891115,54.46860656620116,52.495972602281654,52.6636918905197,53.314411780284274,48.90493159370013,49.14950548451955,46.84146686829174,43.32077260689839,45.482137355422246,41.728884837498306,39.42686584686986,42.23955730596711,42.38489092026216,37.60017792123139,38.623483902370346,41.00382673112483,38.760065729698745,34.86525660424108,37.22808890565025,37.90786348040556,33.33342098197413,33.6703221307932,37.426858592402134,39.624245357644526,41.6855918017779,46.37702029221774,44.989199022285284,46.215181286900894,51.10727786261118,52.231542077396426,55.60367286085178,55.01210969912852,53.66441277943987,55.09534674672064,52.15559517374647,57.07755876745717,57.351547359769484,52.07179892051241,54.03406452221253,58.78788516963689,55.995232644997145,53.504198030301914,56.668118980564635,58.59585519647347,54.880163540021506,53.396180618383866,49.407778579701954,48.84666728107353,50.811215030932,48.469880294674944,48.165811927585914,48.60580996806732,45.234937673062504,44.209771798701944,44.5303767044779,42.144595882417846,39.004474884325774,39.90861876789755,38.827393102837476,35.625314287456405,35.770712607425374,39.64273774045145,37.34556062181194,33.4964182254742,37.73613621100098,40.990952392947044,42.43795978727798,44.9548218650323,44.6253654899008,49.07853343159827,48.2089496188753,44.32948399895471,48.21998664630112,50.68151177618108,48.23138925070883,48.00487743282536,53.70490296868433,53.5672633258948,49.48679057481618,51.99376992340262,56.62142569527528,55.326957042142425,52.27179511851583,47.9436524500888,52.52855430597026,48.84630936606488,47.89799833753714,43.10443486795502,41.53648358078276,36.511771432784144,38.82404726681313,40.85815023365221,44.67996873538011,44.72725633462092,44.224370053902696,39.76011254738889,41.243090676694365,36.83890243951122,34.48019487587351,34.723337419102336,35.14436016088454,32.07200353508399,30.747479300174533,31.405639853840107,29.161955914773287,25.954636279247016,26.89931769146192,27.3971926365372,24.552772870894316,22.476136294060556,22.637476016890023,22.838386930577435],[25.46908632326157,27.120685654505884,28.730890592369906,28.405320560269264,30.671336803271,23.91382508605741,23.880502519882995,21.83769884085495,18.870590157732195,21.578629363625417,19.546288903959987,18.353011414306433,23.85145441126519,23.08604442799912,23.702616916474177,25.781860118682648,28.823096204162454,31.91994060509777,36.336193135617776,38.36278703096621,42.053483189841884,45.8644554633518,47.33792193363285,48.55540983943635,45.56705068788632,41.60021998763616,39.77172547373586,35.51800727298544,33.15537182301143,30.402057878236267,29.381784573931316,28.327402392051397,28.407211320824025,32.82570682685527,33.45451066258337,34.54663054632405,33.90301427593808,38.13487349679369,40.05640060940212,45.676525270354816,45.13721315777303,43.593563381462474,47.376696418576564,49.20832850063584,52.17902973556762,53.928656772040064,57.12902322689028,53.95442499323209,52.46517289073944,57.48772319429629,57.44193506004271,57.031306118908816,56.509570231452344,50.98965678999955,52.8889480701962,54.90098737106616,51.368522129624516,48.75775405762583,53.000425187669194,54.71245563762633,50.75076459815448,49.56726921028188,46.10011021084995,48.60108567688308,48.09475119056606,43.89940260859434,41.17365863655837,36.885076548526214,35.581818551594864,31.185403262018706,32.0008656292822,32.989980650841964,32.89506925404324,37.542355902146745,35.10673670138382,39.56137528545679,40.580801785183446,40.88951675769695,41.77787539468423,44.88416803461025,42.560823056437926,44.64144989721736,41.45690927405951,44.58475736776293,43.66158985381691,39.933266499836186,40.99606219449505,38.506900744508755,38.68742074558758,37.6192780502402,35.46662835708132,36.20866251009774,32.15830175638269,29.00138055195163,25.964561667690536,23.697389270141652,21.587494807161764,23.10398435191138,21.281103848732684,19.95103527650818,25.870868325314618,26.631012002387575,30.879107835559928,31.32910463382366,37.28467470358222,34.73642088107168,37.51241894423248,39.61633854723773,36.76745284164441,33.748522570172106,30.8539148330201,31.07435670314489,27.100987867565593,30.021721980668502,28.08147115184353,31.210846681396983,32.40058774226457,35.852019556690976,36.84839398217914,32.577853307442595,31.167650218199125,28.405077579508074,30.703524002929843,28.828579520834875,26.65344192447217,31.15230336915353,28.975146467239554,32.94275149023519,35.254174467358425,37.714902476256235,40.70957850410339,43.37013523216786,45.14032121282393,42.920228852478985,42.06927404259256,38.21409507915091,39.31403067031753,37.743029623380025,37.051080698447485,37.5923857839963,40.8197038861325,43.84070655534733,40.08731450971148,37.96512000395736,39.4069263505366,35.360964669949304,33.75254921260437,30.355702751289428,29.767503829529524,25.510333579795216,25.478131731790572,20.55506998158029,21.843223676791112,16.43549577261872,16.824418548285696,21.197277002686693,22.663031104714243,25.823158671579147,27.500853566999044,30.988767862964337,34.708588660972076,35.498051166055056,37.916573831421346,40.9055193463791,44.23279837782116,45.1678759132017,46.87711727184675,50.28297680426935,48.202192728175646,44.81817511437903,43.59766159428929,40.77021034868234,41.54776548292085,40.176596281611175,38.63845941298244,37.04158881900509,33.89243278970107,37.58840172681318,40.36984311116425,41.43137494026105,43.22892652201941,39.3539990510796,45.14725201220801,48.60680920007638,46.77147139267001,48.75108602824348,47.11299836669717,52.31830114049159,51.481002998846655,53.74448804238345,54.56413354120413,51.41384203888835,51.568075931858075,49.56320598778718,49.628045032480905,50.32362113408573,46.089195997847206,46.11435015447068,43.993427644014595,40.18671709952295,42.32977946817438,38.34518959040374,36.324253341226964,39.50754489307698,39.40147044641901,34.70336696624902,36.40830892378786,38.607187883082034,35.97132124977261,32.63717016698798,35.33619574739404,35.855650790115824,31.257163360013884,32.285193964186185,36.07664018781493,38.17708103198514,40.013720563776054,44.84610341088127,43.01496728588867,44.095467555859656,48.75365658019382,49.85545497707622,53.018583779523404,52.030027579048756,50.52974749080443,51.67216848940565,48.556836691001266,53.47757978616375,54.066371535300945,48.90538572698034,50.591211549391765,55.51808609085963,53.028259701170406,50.434128202119176,53.460270975943445,55.78216284299206,52.25808392875038,50.53605266770708,46.55621491810323,45.46671473250986,47.27089530478428,44.897638303060155,44.245619668609585,44.55896654782765,41.04736395612469,40.3861993474432,40.748499049815535,38.05645389295162,35.08356603047436,36.40279295369172,35.19022216173012,31.99796818462843,32.598653917788994,36.44538791861246,34.128955564077216,30.6297929933266,35.10713174854326,38.226778510730746,39.72022597200709,41.88022017738548,41.32316212615978,45.78744149920377,45.33214911150904,41.58300213627659,45.17484256238537,47.93568125751699,45.7440976415308,45.37215723073228,50.97042116503046,51.26964696647479,47.33184047413057,49.54683221993595,54.246846297010634,53.34669511451074,50.413554044577886,46.30351931174827,51.13751038243825,47.77387760143445,46.714788305019596,42.01341274307395,39.93541015424077,35.01755239459253,37.824261698265175,39.54773788964293,43.38765842268216,43.065455965229475,42.10737482982146,37.51734898484457,38.53220887720164,34.2547834474072,31.895706682439627,31.396038362258707,31.684210096196217,28.285374662487325,27.584865395706704,28.510774251106977,25.83261507632985,22.65239380517816,24.488799411912673,24.821689045557488,21.506661536608423,19.23796261663605,18.896626027281926,18.82508434919598],[26.516405227589253,27.65604753842641,28.93628544312567,27.726791550857232,29.521243696076162,22.922719312862405,22.146430451809824,20.128094980739736,16.560042977024413,18.46541577857635,15.988614687827354,15.075633808294876,20.401587956220045,19.305698100193002,19.618563789936186,21.908965700079545,24.961725324452647,27.810866949229617,32.12362864246525,34.28302625659035,37.856686940462595,41.74572594685392,43.13507904861714,44.41804202154142,41.540611687844155,37.53543431464663,35.89740951679703,31.706333457478266,29.305616810640053,26.75649142188817,25.30443535985687,24.77582325621659,24.845998172520154,29.08731958984114,29.772237697250343,30.676372521882,30.423655123132523,34.433369776745664,36.476991119054745,42.21505968154549,41.505460393576314,39.70197971700359,43.502446220575216,45.416823614993405,48.269581337893285,50.109253152831506,53.279745250276655,50.17325222093385,48.85735785160633,53.91023480639473,53.866210503432015,53.5808514161201,52.99806207066128,47.510378561097625,49.51446281710852,51.26124139956849,47.627099814535725,45.03813431451598,49.243163655956415,50.85230415005411,46.7318976533459,45.48048932066008,42.03283798165891,44.35554903006969,43.88570983800066,39.78499867616614,36.856864431076616,32.61284610032759,31.200849834104257,26.779825940921082,27.580926543077275,28.503005338527398,28.402155243494523,33.075690133871134,30.76525535947629,35.288661053329555,36.429862129402025,36.895177756333105,37.88452773851516,41.06554561831911,39.01829672066563,41.221524211270086,38.36511020371951,41.57558418317652,40.48592265465441,36.609729811989894,37.34125887381141,35.031324854914345,34.79778711966601,33.82805185890508,31.415513247764043,32.07822646048987,28.031172505082232,25.02541492697255,21.905245957827944,19.527088521520334,17.35001712033435,19.454847738501016,17.99589170125773,17.65338808018564,23.034456196461715,24.614955118399685,28.291973747270216,29.337315917803288,35.25043109059367,32.930995149994246,36.122245609381594,38.247148776041925,35.622425333405516,32.5021454775278,29.542317013492397,29.055316006592854,24.918324457466916,27.401975995663655,24.892655740602706,27.95707815590152,28.774323594153792,32.24035120462333,32.81638808382231,28.531702661504834,27.210214837908985,24.65686830417541,27.321969154501353,25.754202320727863,24.021169547830898,28.729067899828532,27.29511195288148,31.045517399168826,33.63602228314383,35.91338143466051,39.13345359387885,41.90854174709012,43.275356030609814,40.990343229091295,39.94439880395555,35.93308660332586,37.37946632371376,35.330169946075834,34.35912903973541,34.6046369582769,37.562845953173785,40.33335084898633,36.45215194846251,34.535364366461415,35.89240516791561,31.858357396051947,30.426192957506984,27.20791962748023,27.058639566237847,22.99557061504117,23.646735171813418,18.79452147772474,20.745942899168814,16.0198810972284,15.233785731581813,19.281004862065412,20.140007670647265,23.727243025121314,24.703005480966755,28.66939384855268,32.014623661407,32.32003887849869,34.8061086603727,37.7065852825339,41.25027033749633,42.24981089771544,44.23423894685747,47.660530359711125,45.87021523736732,42.32979791749835,41.19538515336119,38.12455177821743,38.81682111469698,37.427441585749015,35.7850781800532,34.408144285010096,30.933745284665722,34.88807041965016,37.457316625609266,38.81570833638742,40.48894771054713,37.03894479522462,42.85943723707995,46.2442797687801,44.21836460708977,45.81959201465462,43.88381738569729,49.13677012678458,48.14972355051383,50.696840410370434,51.68664051040543,48.67223960317929,49.13533049382297,47.364820050319175,47.69093568753629,48.691380557111664,44.55281873578669,44.91314894780482,43.1163259181954,39.33724185879149,41.98076999899918,38.09961325259364,35.82076635018637,39.29299067444501,39.60679062109748,34.88252648335107,36.36047711332961,39.005940717628015,36.79567349864431,33.2361211293481,36.05368965806615,37.00642485239481,32.47017729030235,33.24594534555449,37.33337879071443,39.09551880208026,41.374759716861256,45.56432552152336,43.74034308112072,45.17568507008903,49.71707141303472,51.208492036490135,54.04261745388309,53.03379993498962,51.21642725543803,52.22634745882796,48.83298556385759,53.629150792245554,54.373088567975756,48.96751205207145,50.41646194305552,55.348732415161514,52.854951376845435,50.00848809870729,52.80186863421075,55.26471758870175,51.766764573199666,49.56253690641002,45.96467418294979,44.668953997981646,46.745968581381355,44.808178269430115,44.1306277192785,44.896028468740695,41.050493398450875,40.277874279416515,41.274990207152385,38.62047863056643,35.29613929594765,36.91187428443887,36.209245415762474,33.083818582066904,33.54426643597614,37.74921332455372,35.79095612818704,32.2774126147835,36.65562212566322,39.947967847478374,41.0965136423406,43.098210606967044,42.13551590022227,46.59758595798032,46.422128727169024,42.312898952196086,45.643253422970346,48.591698226117984,46.38922672468365,45.540140556193435,51.26351422525618,51.72484308458237,47.501799495256705,49.403062974760175,54.331370080963026,53.53487166502386,50.41849270771035,46.26339738611223,51.157892420230354,47.745591818244016,47.13890682221354,42.215838653245115,40.15798199526095,35.2077843798459,37.79443862086795,39.26481178638076,43.01460834918824,42.462094677505135,41.711294863478884,36.777562202092994,37.62191837668229,33.05658054211536,31.370592291028398,30.902801692640242,31.71530740120988,28.09643270876118,27.138377951025014,28.806895175329625,26.476430830678705,22.443221183967644,24.61261403662059,25.892042758191934,22.781154254565102,20.114241727216967,19.679081022633408,19.459316146849133],[25.91459171758368,27.00753537399863,28.038043699074972,27.48447108501054,28.90142713263762,22.22228755574884,21.501033351766207,18.915539477729787,15.989480225735267,18.371083765625777,16.013963566817957,14.269803997985875,19.944579497974114,19.66761221551873,19.755791156861985,21.594612059486703,24.958919701372515,27.955553671679677,32.612474480755495,34.340813855270426,38.117265973954595,41.77755771175656,43.42767150477597,44.78324730229751,41.74111866823178,37.900639331489096,35.93544069955925,31.732623362658472,29.089826857380245,26.129292032095286,25.085014493604152,23.798084117935073,23.822230127817264,28.295543801306525,28.9049876430438,30.151693009867433,29.43506331610187,33.88019689146604,35.919062504311995,41.40427196028205,41.14495116856465,39.505132629051914,43.169602493912194,45.15606617989882,48.22456882068325,50.12420125523874,53.196507293232976,49.876941417475,48.57067426655711,53.56452959588791,53.30373357252552,52.86282719590339,52.20977753844911,46.738251528395885,48.475274004182495,50.48314300593103,47.03957344603807,44.29689262963819,48.513460306789504,50.3697955028138,46.46343256026801,45.22701788531167,41.72674064307497,44.40122690535276,43.92379608506435,39.64829558912205,37.2042542978705,32.83381154898859,31.905735614908856,27.497575647105315,28.632220608770837,29.873073277570146,29.344659410263112,33.83788898908446,31.07312133461048,35.45561441354888,36.27719876740404,36.483613199192334,37.28692996994408,40.37708841240333,37.98778293373257,40.14371579994644,36.95411333197459,40.20221989848549,39.39448138258508,35.55903991815268,36.58886396872805,33.9508418986011,34.254690168449606,33.0909088318022,31.09077961381474,31.999787508753606,27.94574886831979,24.65805725817652,21.63353927353205,19.546772251467733,17.522818681348426,18.562665634367235,16.73521498378756,15.464348893996855,21.310219428791264,22.4075612501108,26.489124800093855,27.321942261187935,33.34402649767174,31.13046988972073,34.08879278068138,36.423804161897955,33.914350692530356,30.6343724431888,28.006888097282506,27.80111405389795,23.958180210010383,26.832508836477146,24.728157885479465,28.07247263415129,28.995122813364034,32.71130287854149,33.513011223748315,29.034609622743634,27.973810187249164,25.290584184262197,27.995091945602766,26.10614895866913,24.040308673519682,28.408030817074916,26.434333053206025,30.096387714255556,32.417327709640084,34.45749215334951,37.87541179346161,40.3695657152913,41.96102271516635,39.44939695195039,38.83410197386507,35.00578851534006,36.65569929326327,34.91000279985021,34.30740287352031,34.46697067256362,37.84294199554678,40.5208948336556,36.67641942531406,34.52240092275725,35.664077989344584,31.48075638545052,30.086221101301916,26.541490744170325,26.00999735969793,21.917098837190377,21.988868097725383,16.997169382057976,18.26607765386816,13.27451724962292,12.75981432338888,17.02462042052829,18.462373177740588,21.845737030060256,23.29351739927896,27.126265623126002,30.95532703753428,31.44851576227711,34.2667584553214,36.99077028210049,40.575980281002366,41.89514033383026,43.55421036881447,47.13969275385396,45.28651312184509,41.920083113974435,40.53964764734848,37.55165240328558,37.93916010086728,36.33872540124166,34.5748984740786,32.86973385257837,29.580300785767154,33.182489006750366,36.067105161993396,37.215377875258746,39.22807970956371,35.53823871053954,41.377230459219774,44.85532975876118,43.04729087660886,44.7674779233137,43.04730842963959,48.2486672161968,47.65119005923235,49.952246635489026,50.945463719596795,47.77687160937684,48.1672206151492,46.307170128028865,46.48362449234559,47.41941847530357,43.382118319030916,43.494260668904765,41.735564301054964,37.770549444352106,40.25011592146495,36.20021478624144,34.196651892599824,37.82044909060592,37.84852871480294,33.21970191094427,35.204963897938924,37.587360594010946,35.019566974117694,31.921049466480365,34.89841673998774,35.62136846767415,31.098596636558632,32.37490445536601,36.36085095859502,38.14179414266601,40.139161309105155,44.57083319259755,42.47385254302644,43.7095309312983,48.11124629941727,49.47550949300199,52.25559433520761,51.00156715641388,49.17777601978205,50.03350026619916,46.610062847036644,51.428508600112615,52.33285151642356,47.08821522488985,48.41685161817785,53.451027150357326,51.1620891824898,48.326985316744,51.088509665229786,53.7645714946586,50.3932815920913,48.17970785732577,44.4887373754169,42.90224338680189,44.787886123737984,42.713413974512406,41.810365537778864,42.367511380297856,38.52309163163389,38.03181651134534,38.88673191413849,36.02449809658189,32.91774972162729,34.7351092416825,33.818331916736575,30.70459947122171,31.50626414664436,35.57168748959546,33.52638570538746,30.282105136950808,34.79739209342679,37.93120723912073,39.19165060916616,40.991078558371804,39.99014404198792,44.44054756680471,44.46092841444328,40.554202692228756,43.74419475736721,46.82413562479847,44.801533268820805,43.99453735687504,49.594179566793514,50.28951354966959,46.25733991703255,48.0511908148261,52.94230843915332,52.37173163490335,49.39926727484231,45.416397251741316,50.42730289941423,47.24655254745687,46.440392064276814,41.669902438252635,39.29646775956309,34.46492400944812,37.40748786005183,38.74291771403533,42.505655390375395,41.78785682518037,40.68436261479618,35.79826757741826,36.36988826478128,32.00420905809422,30.141146684689517,29.149865048073064,29.72615731996351,25.955626338862395,25.522436523302623,27.169631057321315,24.477302089575268,20.72324544488546,23.414643393229667,24.322231043580985,20.89996000888053,18.248899207217917,17.461879221578904,17.092697905141684],[29.404802027450984,30.47944028982137,31.31393966448106,31.039435794411574,32.0650453032512,25.46517130295968,24.494819735813067,21.442264411523496,18.84110550988519,20.89331261397479,18.185754633400485,15.839187563041952,21.579413904923715,21.736355824579327,20.901652727849658,22.48480217353996,26.370729218438374,28.928936468799858,33.74779840499754,35.20095600794259,38.9278766632333,42.41562321508089,44.24187936880476,45.88657502140158,42.91806185455739,39.22040277106645,37.26189975756453,33.204131793094895,30.144382460309103,26.922238356570986,25.248880383017976,23.8463942728232,23.14139338126899,27.48178706277982,28.607990438723593,30.36849713964381,29.7088380648969,34.60579678519963,36.9147433047988,42.11504139227174,42.33683523426028,40.405167120254916,43.82992385561211,46.15357719065735,49.287230982323315,51.451596728929914,54.312198211694586,50.81654901591573,49.87671842457951,54.81722601425827,54.203980156681986,53.72627965420699,52.78451149408738,47.45404613324588,48.77250203554834,50.71293320827428,47.47958898233966,44.3649400731099,48.41520823534437,50.65055129071107,46.73602846192304,45.1278110861339,41.45146277482842,44.27884013922802,44.14913736200822,39.87269131366933,37.657231857021344,33.24340080887995,32.7371316861489,28.263244499063987,29.719742195845438,30.782445981800112,29.770457751225916,34.144263636311166,31.10430435292885,34.92326976140504,36.0044385668091,35.70995128526384,36.78897454715503,40.093486136838685,37.70895863195383,40.242419910448966,37.00325531188013,40.57713949284204,40.12069914573392,36.07212102489304,36.92914270502329,33.82379843239613,34.25861587820036,32.38160490618698,30.61346210364463,31.160559176995875,27.19945897196397,23.847662488065957,21.489397316404606,19.146931525327453,17.998466270718147,18.3303643904848,16.95265226723792,15.174576219614849,21.163640506743942,22.64644916947374,26.729772763411088,28.06200326619801,34.19126005282577,32.488264408572704,35.35883878141399,38.05404225598506,35.895506747170835,32.3511273273089,30.197020572402412,29.864000976637953,26.31505937784557,29.201339820160328,26.974922410011004,30.45647823494851,31.008140637447962,34.919514061404655,35.2591462500266,30.622274886875736,29.955428890707886,27.524871260549936,30.64217062681837,28.863335823595815,26.948801851197295,31.144716976639565,29.185062248671088,32.57657061677666,34.75089401170664,36.333726242218766,40.135743268892284,42.32002302354356,43.91322501837674,41.03612156434039,40.86973406916602,37.171372554963504,39.27557930633312,37.500171775189465,37.00270865370667,36.83081080384833,40.265459477541015,42.56310878113883,38.61030366838685,36.51453910536019,37.2818790961776,32.956224691307064,31.89410550214556,28.212868979089357,27.704223106078725,23.8710572508922,23.74652103005118,18.75414195647057,19.200620368504435,14.370963894636997,13.352887743183798,17.502554863234685,19.419055934117818,22.8874883621756,24.24886216856511,28.452465701827748,32.576366482476146,32.68343911819946,36.062387208355034,38.39294708562977,42.30320797050061,44.06058716965825,45.61877684879149,49.37959532946999,47.7118956664564,44.41324398921947,42.863747967799355,39.77678717415069,39.70573152875383,37.78422758384273,35.67870826411942,33.66177505385382,30.23922865639327,33.36791053336435,36.65530505203363,37.84140099701354,40.361253395252234,36.82786897512797,42.67670437295881,46.20354815112954,44.54446532598539,45.95726891166911,44.15536169968499,49.308138654484004,49.10356380170546,51.43813651114135,52.64738219696788,49.436668345094645,50.04927586683006,48.29459595677476,48.489702833533535,49.559861577332754,45.72914686261724,45.73864219477669,44.196098721251786,40.054672935285254,42.51601864967509,38.319458638612446,36.58793152962813,40.442418486348366,40.25563346925641,35.76782543799281,38.18793511766183,40.38792297314051,37.513186135931,34.87591498240207,37.97218527384769,38.49952127378944,34.01447973458356,35.66740160749104,39.547590170784105,41.34995537748803,43.105300481987896,47.72386583299871,45.41631669909892,46.474356240018956,50.72114223477209,51.9417382935485,54.65600325632691,53.10969194906387,51.252719846184746,51.867996951369626,48.35202397855139,53.13897548123077,54.316155964151385,49.249496075514394,50.332456518363365,55.48212080251305,53.46501100510975,50.57313321292297,53.18196831508028,56.164711933711544,52.960509085097094,50.55349414621194,46.93973286445501,44.911088336063344,46.64395899038104,44.55944834020686,43.295740257527605,43.64415913071312,39.70508118870867,39.67664789857286,40.487683640495966,37.29154444235211,34.50606235717509,36.6906787443437,35.53059850158023,32.46942688692238,33.72899051508269,37.584023845500774,35.411633973852624,32.54142514336152,37.19068160656606,40.101792421073576,41.518009238647096,43.06154275571529,41.99203664266476,46.39791703478219,46.69342583137689,43.020786602482275,45.9920879682873,49.23923206411612,47.4205448451362,46.590370274687345,52.05080946539005,53.01554541210163,49.138766629663294,50.755082915670044,55.642283400931994,55.304160000034265,52.43629134445198,48.598717449376515,53.68921546087711,50.668018185036416,49.78147594054755,45.10501886797325,42.53264433789281,37.805150312298785,40.92896336034269,42.1381058959383,45.876245817500646,44.99136701883055,43.66506899573656,38.75129171296062,38.995730390139414,34.74456684539101,32.98192596067773,31.44480930092442,31.881894057337092,27.88097697230577,28.05048155547621,29.829517929668818,26.812263639138873,23.299598151299413,26.509798518153982,27.13069203898739,23.44156007649224,20.84945567831072,19.637148275148284,18.939153463867548],[30.32559189618593,31.580681608636237,32.81171207763753,31.881859246047334,33.48325832553644,26.867428517382056,25.95218308782724,23.541127745832064,20.18893395884424,21.839562182838037,18.993895648431277,17.58275542087364,23.036457933647462,22.20301697857547,21.636710552154714,23.801907158841253,27.338683044811052,29.716379093794917,34.112759697919884,36.127456789864944,39.594321955059776,43.386793009902576,44.876846405701585,46.44520579309897,43.69398918153018,39.77640133889023,38.237192338048324,34.177479906130884,31.40408407302266,28.668655655444294,26.436396874136395,25.991433337429093,25.30312083075856,29.353428700426907,30.632537333118208,31.99412149899056,31.916129303757934,36.30760376472644,38.63490491509818,44.165845137228956,43.83135102808262,41.68217997203316,45.28353056767253,47.532647505951594,50.39724287662856,52.49350847162405,55.48280755068404,52.25072144358785,51.299227513895275,56.32453487056929,55.9800409458022,55.69686230598264,54.83392457649688,49.473733404821665,51.1156620687082,52.73327353480097,49.26081273728697,46.31467778847869,50.34709002663181,52.293919484063025,48.09102629293781,46.4230066447514,42.78697019738469,45.156770717585495,45.07951285643146,41.02774850328645,38.16780973640802,33.90759923012838,32.7770484011255,28.25533737339011,29.289116281827482,29.869916882925367,29.401231423754556,34.03750013209343,31.59187712311263,35.538559432351796,37.11249003161111,37.10354801016078,38.476131943897855,41.93275725713337,39.981936688393674,42.602761996025166,39.75429739823487,43.29757436416398,42.5022794655914,38.39012440441688,38.88093018720585,36.153427327486874,35.91233307411709,34.21447976072578,31.90974114835523,32.05600114168128,28.100585557790495,25.114417770405968,22.68558728877026,19.88221166068661,18.608265630879938,20.29689331517805,19.348197350773095,18.630126589854953,24.179222229675958,26.175219481041072,29.868018168418303,31.389678264262404,37.439504183589115,35.54503642777867,38.66982435708639,41.10990242541668,38.741894640900995,35.38940754634271,32.79014902710763,32.22245779762538,28.279448244218308,30.779727072463842,28.097893813552712,31.261749569084547,31.715006828025597,35.32199660505621,35.376930135335876,30.97403790979449,29.97122759660625,27.69156561343906,30.7486359799648,29.337444082013317,27.765271409645365,32.397810439267566,30.97326504871276,34.55430781759228,37.044942360938,38.97739338966325,42.515085032096444,45.05632861683695,46.437310878974316,43.84451478298789,43.155791813708234,39.222376985235286,41.02449359686012,38.924108804537234,37.991420173665425,37.96705845184062,40.90636226180535,43.352830588154866,39.346407735442895,37.53400742817611,38.58616613437222,34.427028296508915,33.29571155770368,29.979077082814424,29.89042046695438,26.00749306625865,26.49850821700406,21.5504276641705,22.80721639643614,17.995532249933184,16.89576061726893,20.97237842700832,22.264203705752543,25.98262059455877,26.874220790992492,31.22156522705676,34.822997995599195,34.75041477277376,37.722920736511824,40.29840136883322,44.152787360935854,45.50045909663217,47.450444348592,51.01732633798762,49.38477140678982,45.87017237811101,44.61871225936601,41.44328299814996,41.77320018248167,40.112797220499466,38.16067208243354,36.52066355103518,32.87594567004204,36.44259258727769,39.37465120019096,40.80138227331867,42.92115335346038,39.61760754735869,45.473397118497736,48.90781679681433,46.98846068029369,48.296036530000926,46.23844616831175,51.469539771268664,50.78184336498713,53.41591090352779,54.60933294697497,51.5705002261242,52.241686864074836,50.561518254204984,50.909750939891964,52.017254190822676,48.02216564319776,48.29249373385009,46.6322439464297,42.69696695947512,45.2902767069713,41.258387425178896,39.20768972085824,42.841708981452285,42.9356737026544,38.290748353587794,40.12927472746296,42.590824365342996,40.06166806082113,36.855819814950124,39.74964935721437,40.48107210077608,35.924882345258304,37.00938172291561,40.983389214395125,42.850223730052534,44.878716903424944,49.35307443185713,47.38520307142419,48.629393050700116,53.10375334813353,54.406267534577836,57.27767620036284,56.04903103292805,54.26167529869795,55.10754525563708,51.6711236038358,56.478899564282344,57.42365551545613,52.174418866310994,53.46593910552964,58.50727283352437,56.2176811424619,53.347233091728896,56.054400243298105,58.74539887260486,55.35961844996453,53.04396189959212,49.46088022557275,47.83383735960102,49.77173787688741,47.76477382732461,46.788898335042006,47.314819052682644,43.41957713634563,43.046730398167405,43.91596027981465,40.95850493624427,37.93733826103372,39.81741561976648,38.814954896311235,35.69186064297827,36.55257833597691,40.547575626902116,38.38694654578415,35.14109548940486,39.68162022616666,42.78087016331691,44.14225780220024,45.99388544213698,45.056187506391176,49.50676749332098,49.48825511111974,45.6110872020973,48.838781723895046,51.89353379281725,49.8349419731843,49.04665145453392,54.66941145591098,55.30054361735119,51.2185312553283,53.04692101413495,57.95625284628115,57.30199370271758,54.27265052042383,50.2036217169898,55.14819890043139,51.8236240294623,51.09838529944653,46.25177848310975,44.06959909492905,39.1654829747794,41.89693886172783,43.33891026792384,47.09758194115339,46.468258191817576,45.54889981995982,40.608340270725094,41.236585805586614,36.748376189993984,35.065130194927065,34.17318611191632,34.81413548648168,31.00104075533885,30.544106329644304,32.22574736388971,29.552774364774507,25.783082617494518,28.330904727639,29.237849231113383,25.830256942627045,23.23959411831367,22.460246161385406,21.977813143719136],[30.53540490318525,32.299716069470726,33.948041181394025,33.574567147973134,35.78389206601326,29.03993954036608,28.76972099945237,26.54125446985076,23.438704126551105,25.652615946949144,23.143631363469016,21.801412345502616,27.347027820180788,26.468071108570996,26.31807477618677,28.48666467231522,31.890539625200432,34.45604390606937,38.80661089532585,40.89383297127528,44.383879950649266,48.20841188858201,49.66343501495669,51.145989625488276,48.36709983612927,44.403292645606825,42.830220226975285,38.70169086255571,36.05917526413613,33.29241706710551,31.303128622905387,30.663861243793477,30.004971380203838,34.12389046198738,35.39286060216351,36.79964960489581,36.542432859629756,40.98238698871635,43.20723192130029,48.74338935127966,48.3853098439307,46.398242182436995,50.0448824672702,52.19792932340034,55.08408239237411,57.07884820514184,60.141685476140246,56.93083999781186,55.81852230067228,60.85098966947412,60.590215300798626,60.25380953712463,59.46424468979737,54.06245911760664,55.70322447995661,57.45936888358475,54.00725433148428,51.087277737956136,55.14162872848881,57.09972134425394,52.9455658523571,51.312363003432985,47.67034245383293,50.050151932857574,49.96501884075477,45.90345323230436,43.01648766103706,38.770739454426895,37.52232672647867,33.019368293174686,33.90941687422338,34.39257131984526,34.13537468784121,38.82174522999508,36.47184846169285,40.38529253140368,42.00764565030159,41.939410791482196,43.314747263194555,46.7531221936493,44.685175785682716,47.229688659833485,44.19714389453213,47.6660033519421,46.92237373207291,42.916758799779615,43.59443973937522,40.81540109053882,40.74487235450661,39.00942557681609,36.785488780284545,36.876160253592,32.943838928292884,29.94829238161976,27.564311485796964,24.769210637313133,23.454812647807795,25.028297668644054,23.840052870568858,22.532931916678102,28.449637637976654,29.853195217871317,33.9560595781935,35.0065533961106,41.08198800518789,38.93086672584413,41.757150188542155,44.111967520420905,41.48395549908655,38.27547721125636,35.605227054123155,35.58492951136681,31.65128626668891,34.41540051811169,32.07664767910675,35.20158470861266,35.96414961532865,39.45950210493486,39.806244848002635,35.492998212082874,34.27874639932229,31.847162512071787,34.55384440309204,32.98952214646264,31.139570264578985,35.753515237048894,33.856636699651226,37.692512747499194,40.04119798220183,42.245556460989306,45.50436603772794,48.052151362657845,49.733187757654925,47.28102216898715,46.60756802068815,42.73325855406246,44.12973500373071,42.34384512114464,41.50879225435133,41.80238500782008,44.818859830774755,47.5539149059876,43.63493185638685,41.72864439392285,42.958410276592204,38.834885297099966,37.51489482915259,34.14692096948401,33.80087359490268,29.716250217895116,29.80529821469342,24.798612477907152,25.705324025202298,20.332284123635326,20.194989266145956,24.539466197946442,26.189043783568664,29.61591956535201,30.993427487281597,34.96987912108507,38.75441410883953,39.059711787592605,41.846565249797315,44.58863846854448,48.237710020362215,49.393284519375044,51.22893270831824,54.71803381479434,52.8317856560534,49.38072398904369,48.15056226538943,45.1589938096877,45.69694377013258,44.13178780930113,42.31515094158054,40.585628761040276,37.15960104672422,40.62290818459786,43.65162622402308,44.88487910018927,47.006772981510906,43.38582985830881,49.22817728267955,52.70736027072227,50.879320517574364,52.496038140175514,50.62289365034382,55.84304669562485,55.13674637051243,57.614905151443075,58.649868473072296,55.54145184152388,55.95084288480381,54.08151195973585,54.24268949267013,55.086352653120876,50.95147201974796,50.99914929270528,49.00648478679971,45.11198255739641,47.28550565376228,43.212880707787804,41.308099403518696,44.60566102049533,44.397279972392596,39.746847465307546,41.603389026273454,43.72880392199003,40.918995733382054,37.76772182981164,40.46809728728591,40.85321248055202,36.25175327765283,37.3732643385797,41.067832500687736,43.26644038357945,44.95126563774728,49.97235770039677,48.120239019785366,49.078784041424946,53.71968024016642,54.65909998774923,57.89538408937937,56.7834046599431,55.33007857563607,56.36494782992404,53.2233733956273,58.147561746302344,58.87878432259824,53.82005478167988,55.39141113665588,60.39215975484773,58.02833973732155,55.403783186989735,58.35280752650957,60.82374919947977,57.35891413771916,55.5203227483122,51.59761558875697,50.2824126269505,52.025155694130426,49.63787417396967,48.7613812594756,48.901632931604965,45.33723356263883,44.98774754205025,45.2747858682571,42.343048619998655,39.607946505450464,41.13064054343732,39.6887773886797,36.504531382776925,37.39325719139446,41.05736849732612,38.56159436417587,35.260807453821414,39.830870030861945,42.7898247584375,44.46920483265476,46.55215505367101,46.04667784657429,50.49566279566008,50.11863135108661,46.54376641535665,50.08465486981032,52.89490355761293,50.77958959157822,50.458585752434416,55.99975581717111,56.37087668644257,52.502987057904164,54.68970091699315,59.38240489005356,58.527671506624756,55.624192932817195,51.527699078650464,56.35317412178222,52.97441990131462,51.8819225700003,47.198684482343765,45.144531630959996,40.231289159919015,43.01115310908515,44.764871027857325,48.601867323353126,48.27621214164105,47.30816338179994,42.68012359874668,43.5841733247113,39.28085034076461,37.02847041239144,36.30575244124577,36.53379370598398,32.9800970292464,32.578484692361336,33.56853482977428,30.70082621131764,27.632426593615758,29.679683606903957,29.82684394315655,26.360378420473495,24.1640384769292,23.58542066902463,23.263228507812173],[30.22703299618395,31.87428518035065,33.7184551893041,32.38651449670595,34.94110015716511,28.39921116599845,27.990163068647128,26.45592383231296,22.66470461810371,24.321398025792366,21.825022542524962,21.448327904693816,26.477795918362155,24.693225885188667,24.968188227177148,27.6050669661941,30.482651405747028,32.94800013692842,36.81143682458345,39.41756092939393,42.660442556824584,46.754941513913884,47.856502459950015,49.16100174531031,46.56870009905383,42.421419155054984,41.23050902501257,37.13334770094041,34.89430321152952,32.68303553952577,30.475831106884378,30.68074091586422,30.335505160869197,34.21901438460134,35.3578194024747,36.20266637834984,36.44396008680956,40.22395339635328,42.36285197547572,48.23102585400227,47.22383643553939,45.140079638339266,48.981824039103635,50.943363209075585,53.54366487928186,55.38804477285238,58.601955388743185,55.70520181863675,54.495343237172285,59.584097499151035,59.672677554222496,59.536949051857015,58.916597162953494,53.47671675870762,55.55886929334045,57.01421040300758,53.28371293889969,50.678358213387156,54.76072150161397,56.29207066110224,51.91579624197227,50.408435358935456,46.91775668251448,48.83598972029865,48.62760547980894,44.791851533947934,41.32804184088983,37.28355084726237,35.402659218443496,30.989556295510678,31.413677307836455,31.597818043276583,31.95426764373038,36.794439417604835,35.05774340864435,39.29249476291021,41.12953147790007,41.545553064291255,42.99789571033687,46.43249006333505,44.76405162284934,47.22249773102734,44.618073658280665,47.935107694617386,46.75286266423867,42.7760463457572,43.153595718699236,40.919573467868574,40.201147025176404,38.962355802649675,36.22333489069878,36.208959480266486,32.29274645216178,29.654930206870663,26.965766948263727,24.043185829813563,22.342514237965343,25.130653010397836,24.194931019829408,24.02973046371444,29.363025179944483,31.24339148347503,34.83301919865859,36.045445958047004,41.95511727112033,39.594947300631944,42.773948752678905,44.80216195407736,42.01708671189454,39.033826717255764,35.89927777774945,35.48113298492377,31.196441665494547,33.45216062661633,30.69374269021571,33.42940674559173,34.1154096588775,37.23971134713757,37.418464020607665,33.42727772372593,31.871193526032048,29.592146179324452,32.13326666775085,30.9551222793162,29.51749373875506,34.46105848320757,33.272189220688695,37.175716644469425,39.87341228525984,42.39290285742762,45.37233294746936,48.31656913987708,49.662231133229014,47.55107984086401,46.258949210372094,42.154527236233825,43.275773462161915,41.10612220571046,39.81986606240494,40.23534008668603,42.71800877185642,45.58654521205782,41.685925476033105,40.06524546802175,41.59832157915803,37.718931476685356,36.31034539563221,33.38260315282816,33.4821682530648,29.446029583172884,30.26408933585093,25.448045107616295,27.34577017805861,22.337052238947862,21.807268289460442,25.924882381125684,26.787340736043017,30.4334930014926,31.24919795878909,35.30081330584486,38.418327561950164,38.56200751049968,40.82971331124647,43.828928439961025,47.347034786680396,48.04347983796831,50.28803808908591,53.53976374226025,51.73736011123334,48.07722924986655,47.179304298554484,44.106262632246434,45.07078106769381,43.82579255786968,42.23061574290851,40.98296472576346,37.374601888042,41.37787051673997,43.898613323564426,45.38671406047193,46.9598593372392,43.638764093913665,49.440795946689704,52.77848682234238,50.64367532331066,52.15100798176208,50.03371521249516,55.3060206235231,54.03911800541791,56.80526108197325,57.79662075802593,54.90703553473605,55.385878825912876,53.638233079941486,54.00808490147847,54.947044710462066,50.684799380944845,51.10394381321303,49.099950094444495,45.472823843956284,47.95030290067146,44.136930898133166,41.80596524415245,44.94744497830605,45.22085490288139,40.44064960894093,41.580440942916205,44.14807889781088,41.94313060702844,38.13027392346356,40.652774403827195,41.46976695491219,36.88919058747948,37.3003205871825,41.20077782759742,43.25015371489513,45.439417393990404,49.91682732118762,48.42336048948948,49.758376612156894,54.54382795228123,55.799085739607186,58.989994086465394,58.22570725368359,56.68227782919942,57.91408962074291,54.745870987499764,59.61429781390648,60.13391561453898,54.77834591286631,56.47961837909976,61.33035735468581,58.66710580535743,55.97888825357919,58.93684375774226,61.123287933343214,57.48863598620746,55.59244471223153,51.86011613682565,50.92944918886729,52.99110943808311,50.88221147699642,50.349538318660315,50.92115292072966,47.277050056614975,46.45108714691272,47.102488303712825,44.50864469178695,41.328580956350706,42.62445616501038,41.65423601540811,38.46733663672302,38.81697243650138,42.8090649872409,40.58212540395799,36.888094130564866,41.22552244069497,44.477134900483726,45.858373951956665,48.17326008119521,47.58852861355009,52.05845305724175,51.48505234651724,47.51023813767119,51.17201733190383,53.84806555832699,51.48212103911285,50.97445452100429,56.713663664336984,56.803927622813916,52.61219308657357,54.863954184678185,59.650934316989684,58.52127425994985,55.38924048423384,51.07304486639475,55.747371573904495,52.07889122431613,51.360819129660314,46.4508209731718,44.801515851454226,39.76181621713065,42.03798246600998,43.88368098187871,47.66311851824836,47.49870841459005,47.02218756806667,42.29116946205528,43.51620477625108,38.938993470024414,37.02405012171192,36.98721035597946,37.638627743724435,34.2488121587488,33.09580128865623,34.27264087646893,31.973848261137704,28.34073470354815,29.82064528250082,30.691032229543623,27.697042107422295,25.35126291825225,25.184036567386737,25.09764247776252],[35.32641455356268,37.29060543606911,39.421227675177875,38.172920940659694,41.06900495210914,34.566526190567814,34.31924386617395,32.88099326542155,29.073826162281623,30.589353099973422,28.003483572039062,27.68861326936406,32.63780892095989,30.641692458907997,30.65061000395118,33.385325328315815,36.30230766481865,38.40884916858727,42.01510071128408,44.804919463456315,47.79717907118347,51.954111597924786,52.90702027719185,54.309577343667904,51.94913821578205,47.775864526372665,46.87834876378834,42.894026587400894,40.63638204406262,38.54727073991973,35.738497198385794,36.328906909264525,35.54413079612521,39.129701118718785,40.697474732745135,41.655360163262735,42.20614068990065,45.97633691281498,48.250714632866384,54.108268873746766,53.06037874036249,50.70992479394093,54.493186055877594,56.58683631010998,59.032227224279005,60.958931483549414,64.12782536463627,61.32559046974875,60.305640566743996,65.39440471803385,65.46130282676309,65.41513954244621,64.67737777044645,59.32050642898873,61.31683293546162,62.55621925609515,58.83305566248907,56.101505237224245,60.03843962822563,61.63770002364098,57.09578429798613,55.29228141918846,51.731861708265065,53.40206576624922,53.49692093530828,49.86600241587506,46.13441201715751,42.24462899372188,40.20998347206866,35.83667278077672,36.11286201132888,35.74387336965535,36.24560428359525,41.08323627594734,39.67085774854253,43.468001820761074,45.85832326520092,46.07371238668026,47.9213296369071,51.577852471723865,50.16662764731902,52.90131832254572,50.43937328951896,53.91967180648927,52.78964135256287,48.68778256387007,48.79706745063587,46.474014601431534,45.49269703408001,43.862502327152065,41.00597117445461,40.41609755796969,36.68054172304239,34.30748138393126,32.11482474748054,28.85614471198924,27.693177084299986,30.615874465565412,30.054078324980118,29.82963926644043,35.18061308439898,37.289975306505205,40.86201541579125,42.27991254341352,48.23897041228103,45.977892951232405,49.116643299439964,51.19365848079003,48.387672268068776,45.404232525640985,42.2905745330658,41.9147828228476,37.616192420278225,39.78707449552549,36.87699655735278,39.47353372571045,39.98749286856365,42.9540875286077,42.7523692149834,38.92237502477795,37.35411682458191,35.32058344078399,37.884709157543874,36.953933458959575,35.6996167750478,40.71600571838883,39.62057954516546,43.561954390866724,46.27267321432818,48.82459276528112,51.767127883582624,54.72698836385691,56.086782334659496,53.97358333224747,52.66808740314266,48.54059704067508,49.58321785149806,47.35458128455689,45.92127164179852,46.35439728998144,48.5663936129375,51.381685284956475,47.450099238503306,46.02812473642938,47.55935765910514,43.73263223085882,42.42754181394727,39.61490746161806,39.83871876633241,35.85136887575355,36.67178933511506,31.82300649459316,33.481906000468676,28.302092204364666,27.844483681268,32.01192004925104,33.02167384539577,36.721738066094666,37.467384814798805,41.66113150819173,44.76375001004698,44.72256982756785,47.024011143794226,49.97441785456407,53.56949750309423,54.203433947404754,56.57543897340149,59.769446246800584,57.99989555098184,54.288183283258746,53.48382906958015,50.387003331157615,51.38911971020692,50.13657327371938,48.470465791087555,47.199012687610754,43.478269715801254,47.37289551467513,49.99162005809683,51.56130991833516,53.23104751829367,50.00603257487257,55.814143415166484,59.14823616080927,56.9926436500325,58.36467107077727,56.114710821702545,61.38674226639893,60.05938084362819,62.97399207468805,64.02604274456193,61.199080058550294,61.74325913624131,60.028271612606986,60.419753105099495,61.34303884400514,57.047296345395225,57.454671552984294,55.358938558222576,51.76516362660841,54.1031214274257,50.27522715200456,48.00555531612008,50.99548174186647,51.147606469744964,46.376936694576145,47.455797128640135,49.8807084758006,47.55602780391837,43.753676846255324,46.108536684654226,46.7381664912655,42.163416805330534,42.48013065074403,46.16953058512849,48.43006873027734,50.43228690369344,55.19603082709679,53.86356577676304,55.04100318559544,59.93924819805232,60.940135957323946,64.38305457979943,63.70258592896954,62.3673042381463,63.68328139839446,60.66017850771801,65.57860485761331,66.02016591772318,60.7723557945797,62.58334026580509,67.41967629629137,64.72503187315601,62.14116933590663,65.18304117363832,67.27162623418022,63.58989580074845,61.87204634877556,58.04354272710582,57.22616905004737,59.216668204234814,56.95907149318878,56.412029963774266,56.76185120526277,53.242467525470246,52.52737681929967,52.898088076314735,50.24204921542708,47.27106561139917,48.45519840148693,47.20619184633898,43.99791259775788,44.4243988518074,48.17892654532347,45.71863633328498,42.04450326046629,46.37996624222323,49.503910829920834,51.11274569953842,53.562904825455384,53.24074222452291,57.69641591954348,56.920075132742895,53.14470295279811,56.97419455864136,59.50313595870509,57.094954504342915,56.84507476385867,62.53944300604682,62.44908071671133,58.35463395831644,60.80806416195415,65.47666364649832,64.18688001496392,61.09622141528101,56.728380946626004,61.261663375930304,57.48369464864843,56.629959671479014,51.797614427631125,50.35922229274165,45.31661044303894,47.457395345600524,49.51791418910883,53.30195289325016,53.35811071611612,52.97522582798637,48.38757608947019,49.76052984033487,45.21963703929707,43.15216415533623,43.20468702862192,43.687953473410786,40.3733464497625,39.292243989935734,40.18007348516774,37.78133859865706,34.48238871093084,35.726606665283576,36.2124508894012,33.21035658359824,31.091950540479694,30.949228199514078,30.8528089300208],[31.665136070038848,33.83996898136554,36.3159035700622,35.04768112891093,38.54476511606973,32.20193777829264,32.481247309361635,31.619281681272494,27.847657361364146,29.73035492596085,27.684209210251097,27.839027904900355,32.59150953064021,30.33227066636096,31.25338030333108,34.07953205723254,36.48275768052824,39.06002320188468,42.522647437485425,45.493193111275076,48.57574393904334,52.84273151134888,53.661484679923866,54.73171404749943,52.250598767859564,47.97734894537356,47.00163544235037,42.89892400068388,41.07987962211576,39.17311281833857,37.13493332772423,37.574013380173284,37.42692720316043,41.2513674998653,42.29757571537975,42.87071316958251,43.19501760913435,46.618437848071274,48.56889582839346,54.61447400190288,53.168848509148646,51.235095595864856,55.22876548974639,56.935863668216875,59.355507207689094,60.956901779411886,64.34458530390748,61.70522278267709,60.23766127426866,65.34137927374746,65.77280421305693,65.70805709540193,65.29776997241454,59.802964174539554,62.16807261101274,63.589574045492654,59.711427254938116,57.35100555754422,61.47038718125902,62.729028040418115,58.28672789684374,56.913919406147095,53.530438388845525,55.158816371608594,54.85859828807301,51.17842509651384,47.35558628741266,43.49394944629339,41.129185686900534,36.87271730998904,36.85245410797666,36.74468255187392,37.70390461510037,42.60677578692067,41.361748819231686,45.71161300883767,47.709847519617384,48.34912247645819,49.83973252062701,53.23610608346421,51.679301271635076,53.98681606471154,51.44214352379731,54.569383366148294,53.1757331307148,49.35909254395198,49.767216178241306,47.81156513298457,46.90733867523555,45.92713317408219,42.99597424113457,42.87159435509214,39.01728350112741,36.57249432321309,33.790432289143425,30.85570991105206,28.96499443127929,32.1520568083726,31.113021607547452,30.93008941398465,36.31517352846254,37.84753735007958,41.5627996104988,42.35736697097126,48.15678869976256,45.39542341863224,48.4281268332406,50.1229214285571,46.955253240752036,44.32789127754855,40.86173031170649,40.83112602116965,36.42529240734952,38.62212692692798,36.06458483973054,38.45310213762617,39.441843152350046,42.134443071928715,42.559712252308,38.953822012070475,36.97968863574886,34.67702272030754,36.619747198629135,35.53953638646235,34.0781657326739,39.07050717352446,37.80557659764002,41.97197055375079,44.68049107119643,47.697246397657295,50.11801249635614,53.308353066671586,54.78025559627343,53.087074311288134,51.41341579744434,47.27625385968905,47.70012480266455,45.694988351266005,44.2486668970208,45.12965791625541,47.30983593414625,50.584222651479585,46.86181615067165,45.33616700897816,47.25423526025367,43.61620076539235,41.954869799736805,39.27680880166528,39.35021841402035,35.19020006807765,35.9768019018473,31.301623945831295,33.339787167931526,28.08224999074263,28.24777708144369,32.45361593802205,33.260374276608246,36.687860666029714,37.692889878560706,41.349028164482036,44.23508688637678,44.710802559447366,46.41671519250146,49.74455379971609,52.899580684356664,53.045515967115676,55.402429747074265,58.360744930320934,56.31340804517355,52.63116466794042,51.99984697130642,49.13750875632886,50.62460224305596,49.709843224887976,48.42420506363574,47.37795869304143,43.925156456925826,48.11711229034738,50.429430759006024,51.84649700069105,53.065884164844434,49.586040275207054,55.3061315066263,58.583442080299385,56.36782848284547,58.167774233202366,56.12632150733522,61.39133348170114,59.73201536065245,62.48309529613171,63.24108606917336,60.430810183111944,60.6291258473574,58.74251716084832,59.02114855911893,59.68881542866845,55.19933397405744,55.59648820140988,53.19020848968103,49.850448027563765,51.98567498796635,48.35835463203275,45.94572230469083,48.501794734676324,48.736475703556,43.94249427438121,44.55829868766399,46.966901354567845,44.89475256946003,40.74711143015036,42.814347234829775,43.48450440744885,38.98157513732523,38.87233514818943,42.443804042769564,44.78153826321271,46.85742073599163,51.565097105372814,50.539898556167564,51.762110350724754,56.814344442581955,57.80877154215933,61.41764074273655,61.08818272162419,59.93169513437919,61.54460260913713,58.764238811698455,63.69568452832712,63.77895132891108,58.501678946757664,60.639770086255744,65.28555262412885,62.32707135501271,59.935582941777085,63.18500313391975,64.85667283251676,61.02681752380465,59.72563074309781,55.73604407815337,55.48371159507363,57.50863060085517,55.143244176656964,54.98367947620265,55.38053966172609,52.11909002480412,51.00188058967275,51.18574161350255,48.8954500184631,45.797294180496856,46.47969943458883,45.32033335691223,42.11918565071848,42.109006289517765,45.8404186527979,43.43382488240278,39.46827265076535,43.55494211601897,46.77766763815452,48.32000726682925,51.074569706509514,50.99488404433542,55.41717144893861,54.237080897142185,50.41382478691792,54.518697324843195,56.7398109060162,54.13931721145917,54.11138460277607,59.821946582033426,59.34963241926549,55.24875357701244,57.99692327081417,62.51351991003632,60.91265954386529,57.811691625643554,53.34988993195544,57.67438424309674,53.75322377717919,52.83746449920998,48.06215129209772,46.94020932202544,41.90543790410991,43.797801069312705,46.097879341184104,49.86576485341484,50.23678022840504,50.07281512071997,45.75616028751426,47.53832232668117,43.082445092372474,40.74017399231187,41.379846073001296,41.80951306665468,38.90410532315639,37.3511166172522,37.78946279033877,35.71596536623795,32.64749711296676,33.098521890666476,33.505805289396235,30.901812452716097,29.02884678196433,29.360130932895018,29.602995188880513],[35.43346719711167,37.48240436308431,39.97300351347848,38.12524281620279,41.638286090128965,35.49219268635129,35.50143807241019,34.857793158206164,30.75145132058894,32.05500352868939,29.8352437476481,30.365276792988976,34.766316897122245,32.04889066487745,32.77375182336283,35.81020919999825,38.048880207970456,40.21867783831138,43.26669361802052,46.53363165115741,49.293151367842135,53.674743502514886,54.2433384471166,55.33852094258725,53.137769525027885,48.816435309835164,48.24095665392712,44.29857180654065,42.595282063418765,41.03395741273256,38.41742645680115,39.53074019499509,39.198644519529566,42.660033709051724,43.938098183468384,44.33607386473629,45.14819978812327,48.25001011902384,50.29295997012756,56.42603020917658,54.70246379432509,52.47629589119058,56.46397069882622,58.219101775200414,60.38149097833349,62.017509736279884,65.38728636968905,62.952304743688444,61.6626746655018,66.76543896521193,67.28705639571383,67.39738274753229,66.93743184653813,61.52895182220981,64.00268394537967,65.07546879434871,61.098765637037936,58.78246919637779,62.775448635053245,63.89083501706488,59.23774906401822,57.70369989678732,54.36203289616606,55.59828311849055,55.46425368485634,52.057128492020034,47.83729595864425,44.20651576219152,41.5263461684056,37.390502843169905,37.11281188083525,36.51324605122429,37.76112685603195,42.64627681225564,41.88145782515713,46.03575383054835,48.46924778319054,49.19735807248149,50.978447108022436,54.50981879726767,53.35788529986606,55.84341760629668,53.66436637139439,56.86499256116479,55.31857745267553,51.39837860478273,51.41078884302943,49.64843095515713,48.23230179991999,47.21373251772613,43.98408018704196,43.4457454809572,39.76221387098869,37.685791691880354,35.13789981382665,31.979257719478348,30.341094935175942,34.083357878787716,33.48878056811379,33.882291822223195,38.893590858873,40.981472608213544,44.311071783407534,45.511169709008755,51.254125986344825,48.61996048088236,51.88415352377576,53.54127179079549,50.44440232016326,47.82651161969536,44.26057892100476,43.84737696612437,39.32587659224128,41.13128025218804,38.16276768651282,40.288158455317976,40.96378467841694,43.40950351183643,43.3392369584064,39.991824181775854,37.97677334866807,36.019491931801056,38.05175913479984,37.40076292615178,36.389502659048354,41.53100882624494,40.845203197439204,44.911640042779105,47.81902327575948,50.82319694296627,53.25116673852343,56.58533974970198,57.783899304020615,56.149566109196826,54.2326702882318,49.97887170060963,50.44841165236106,48.09692918045227,46.322136583624626,47.099621595363516,48.80625075519947,51.93674039074166,48.178363259441824,46.97551322703308,48.919143896587045,45.43161102074502,43.909792922119905,41.53374091322265,41.98159126876157,37.99729004669232,39.22131932731239,34.63178565022338,36.9653177491884,31.932492794233173,31.637282348160806,35.68317254121653,36.174289105249024,39.81854328014565,40.358288145786396,44.28372779203863,46.81107555636287,46.9142236019282,48.514422960670146,51.80969595830967,55.04946405255035,55.059584545807006,57.72119674984084,60.57032333632139,58.72088372216785,54.898769293108266,54.46016752156148,51.46782729176554,53.03850709363429,52.20105666473157,50.8925352311139,50.058713487585564,46.3799830857737,50.72132693914041,52.85340754723034,54.5084286034377,55.580583421347974,52.45031269120957,58.14653406389136,61.334851944139984,58.94877420791099,60.44982105153512,58.134798697813274,63.40178908211362,61.48556654945314,64.52819088589158,65.38974421981246,62.75847715834193,63.1624322073614,61.45053057833128,61.92111881823219,62.75134451450965,58.276579255433454,58.92063769716353,56.626845362554874,53.390768228346275,55.75625011331671,52.230506823026715,49.64230008198114,52.21808520581162,52.69665729808084,47.87209957688382,48.19512849111472,50.83854029766644,49.03836905317433,44.658976187467935,46.65925345484558,47.538436398353205,43.0749920457475,42.654782819877134,46.301803283380366,48.53667137606339,50.84844781430529,55.24228458565867,54.39094045298623,55.79413332947386,60.87382010860211,62.01042373643599,65.56859502852598,65.34908283183178,64.11827307266981,65.75255642134015,62.90060452191873,67.78638734632106,67.85851466844139,62.448997266599925,64.5557864222232,69.15895843065574,66.1134371916052,63.64033961044101,66.81555278204375,68.43316678489836,64.55618844127845,63.10087283511695,59.30434727230802,59.10239068157728,61.291647015669334,59.1236174215153,59.01536788036657,59.605510624572226,56.22519561631143,55.01677959441299,55.43657260489645,53.18945906483629,49.940271433447705,50.668935413641684,49.69920180551308,46.50679820725317,46.377330839634205,50.235338530992614,47.93047668396405,43.888255593683716,47.8983374270017,51.20504331404053,52.63243164745503,55.42425782704409,55.25870471543938,59.683194322820306,58.49781503272415,54.51168105423885,58.59803664282034,60.806845281104216,58.12516201198839,57.9513724972442,63.73981959171038,63.18794125843997,58.92499786756477,61.63362255407837,66.21671694881806,64.51511138996646,61.29274702186704,56.738140986434004,60.96303551567368,56.89368046821648,56.23802379731663,51.35426848109455,50.46071743456139,45.40018732567974,46.9782818382874,49.278689936092306,52.96935206270391,53.385453905560475,53.498849946443826,49.08665582305204,50.93430142622389,46.32097260644408,44.299763732212874,45.13735309929913,45.80416191687456,42.861104740034435,41.09686190131981,41.76463986468059,39.8929305122552,36.51199701153444,36.900021576363045,37.67891056279394,35.21294084830567,33.231279333633694,33.58162663535783,33.78632498887883],[32.54851435631247,34.74169156258485,37.481882455131554,35.65550195169225,39.615858458243956,33.66658887979334,34.10392675020742,33.90152828575283,29.9135523610788,31.51395707722522,29.751704620092013,30.576808268699775,34.80621253296628,31.977051941196017,33.38487543810773,36.42786246651933,38.28400662628775,40.83004288854557,43.796511383245594,47.13977078833573,49.99037198282856,54.417111058251514,54.913497279206354,55.7443388784912,53.43012797944062,49.064265359999666,48.38592658717342,44.363619683231,42.990211966951975,41.53671425659787,39.57116168462259,40.48122023396338,40.62495646156375,44.28325165608745,45.152670094173274,45.292717230241806,45.87469432361204,48.73971193831516,50.51763347841392,56.74987761340805,54.765194260933384,52.89930076259651,57.02666451391712,58.475039720945176,60.63924775777076,62.015218749139095,65.54165236446497,63.21691231795509,61.57053428457572,66.6645671931938,67.45446765825896,67.52962479697413,67.32506648514611,61.8223703335548,64.55224561028278,65.8009846300184,61.7319619359071,59.696134232507916,63.828064583521076,64.70317031386821,60.16747887834804,58.981101743808175,55.778095101133985,57.033148254891444,56.58151909820582,53.118246050546624,48.90554673765014,45.28686457505482,42.42341476321395,38.393722726280664,37.931731192456525,37.59942173843884,39.13544785929862,44.03175540552832,43.32704344404774,47.884584916675884,49.960303501587894,50.97984041578552,52.45467471645665,55.763476256727195,54.45796153716384,56.59795445403374,54.32484211469459,57.241092618631065,55.52107225436658,51.84478832421373,52.12542049973906,50.61909562942118,49.3308801218581,48.79182877700518,45.566392208164146,45.42279028026776,41.64883608172403,39.479873280001456,36.5082937456146,33.63439912050303,31.478668961097974,35.28860370713115,34.31487088526702,34.66781786574807,39.69789848402294,41.300325791118375,44.74567592079919,45.4425078607456,51.033804182126914,48.031510755164526,51.17610459959693,52.534751361518204,49.17588018943623,46.84869765473838,43.05241501445477,42.93499532065816,38.38702687717186,40.222668662196114,37.59146518588781,39.55670602790247,40.623277949105834,42.8587666703809,43.33066402924391,40.15421212937393,37.8530369162515,35.674810937158,37.18717852942365,36.39043366225415,35.19425824958482,40.24653312306289,39.39549337410163,43.60392414919378,46.47101060675096,49.81268879307603,51.82054433617711,55.30283999820338,56.60288089896483,55.295555710954424,53.126727751496986,48.90258880462275,48.88107332277157,46.749653696394816,45.003963304200106,46.1375400692329,47.84958844192996,51.33443747641162,47.76814727419673,46.460158916113585,48.68617083701214,45.350559306487156,43.55583313820366,41.27393756031654,41.569634700617534,37.48261631473287,38.631329057684695,34.22304258907065,36.77962955919939,31.746559475449814,31.92668180353436,35.962195321298424,36.3328409539007,39.719745975571385,40.487527976891016,43.95563883160871,46.333101773740275,46.86108646851807,48.00857308697224,51.57424985106813,54.45016407722798,54.094064084446885,56.70241658042307,59.363496544148056,57.28713754576311,53.520049949112256,53.20374123906391,50.424152201689466,52.352986754019646,51.77174785703527,50.760447458866736,50.07904278188241,46.645216394213314,51.16287047013423,53.07694722117338,54.585177256965764,55.328683775210955,51.99016482849798,57.59003441717228,60.72808509953615,58.32306230785511,60.17389585858216,58.05605083801778,63.29719467945887,61.161353554619545,64.03455440361746,64.65419510887948,62.031020138378615,62.14624920039255,60.29312764866924,60.65760303555544,61.270928855228846,56.66505331418725,57.280116955438565,54.74857055570694,51.724536115175326,53.90291639153341,50.55121355591063,47.88118814160247,50.09668680724563,50.625135138816304,45.8222189760634,45.7887232572923,48.38890280208572,46.793214189642704,42.188174706405995,43.94138400099375,44.84091738516935,40.477726936859554,39.72234134636126,43.23994615152934,45.51995598191946,47.86952010383591,52.196715434756435,51.59119390194656,53.015918741764494,58.18751541813919,59.30783286471732,62.97949316916763,63.03227223529517,61.949812686475,63.80444085267027,61.157804940543755,66.03246481803605,65.82824224855996,60.42840603121149,62.780330916627136,67.21801491330385,63.98472269170938,61.67843039254963,65.0064118438007,66.29537681759713,62.31988331995621,61.210257864790826,57.293511240141925,57.52982862962051,59.72317415753571,57.47165540761525,57.65883637791952,58.270793628371976,55.11280535740932,53.61144749725504,53.87387864287673,51.91904786895171,48.6034218925963,48.940805728192835,48.04126022339013,44.88250835845686,44.42204051875433,48.22487383053718,45.980629280311206,41.753570607277226,45.53109042471735,48.88652669510726,50.25261087130251,53.260128117863495,53.28583949053631,57.655948298708324,56.165142702286516,52.1719421000962,56.44836026840116,58.40491446518069,55.58997565297925,55.59842613452584,61.36538634010455,60.519218370061864,56.279142359705816,59.209226834893734,63.64647707798694,61.71255818352727,58.502420096980515,53.899627345895524,57.938362556120154,53.78114880648726,53.06759518571499,48.26068118570456,47.62184033101752,42.6078333967088,43.980661037912895,46.461013680069485,50.11745831502254,50.78560558485922,51.05995172999221,46.9000171035473,49.053381396204735,44.553187115028386,42.31706471155304,43.59478927600076,44.20257155034564,41.604943904549444,39.50808256203817,39.8096256897126,38.206884174026,35.060409780138166,34.82779640198939,35.52573672289375,33.411443919294214,31.656261945653306,32.35501253049029,32.82177115495876],[31.302876123319002,33.78994699359443,36.828505499724855,35.3750300174241,39.797014983217224,34.02748729008666,35.000377211195804,35.07945158991717,31.397009149242383,33.41751921500186,32.05917813911017,32.92448506145982,37.126140986647876,34.388840821135275,36.26315225952024,39.22473092323811,40.877434738704245,43.73980902933191,46.717805478908346,50.03678906477087,52.99356408932324,57.40994844233606,57.902424270512206,58.546592529499854,56.1194987486961,51.75106709021889,50.928261655538556,46.83824178124101,45.66607221534909,44.19006692635911,42.76078096807387,43.354123049895925,43.77848494673448,47.62704424181912,48.23810036557923,48.29979997354128,48.60095777219424,51.41203768431969,52.98458140931246,59.22990244262639,57.15048666075729,55.60754324535588,59.810772620797316,61.03786287654479,63.248239484686685,64.42388540712793,68.05663138279287,65.77754364375939,63.8401796433455,68.91178230321194,69.87203327674767,69.87791325932022,69.85899267195333,64.28697502858302,67.13692897760417,68.59451690440869,64.50602514170974,62.63256851397065,66.86728083894837,67.63499581872813,63.23150641271819,62.27952718179826,59.14860906744001,60.48995485173479,59.834544994924585,56.297220269956455,52.17848812158157,48.540940923420465,45.63726701075189,41.674105819406314,41.143817596677316,41.02547540398582,42.68363892327735,47.56582868963773,46.82012510827501,51.59008318259174,53.403251000454254,54.532349042257565,55.78894329844122,58.94128407378422,57.43878298051095,59.32683509305836,56.876999044987336,59.587970356209354,57.82108610938063,54.34982568962026,54.91500817926802,53.49453244063538,52.435846570110655,52.140062926502274,49.01135316691535,49.13531427094224,45.29581598264844,43.000212977011415,39.80022329632826,37.12634177653519,34.69038034625141,38.323674351484016,37.01056704427362,37.05989300062253,42.25016844915984,43.31069296816404,46.99541664842149,47.18833259149506,52.67518850391411,49.36868796027731,52.27672832554653,53.41622950320384,49.81551937086188,47.743091962551006,43.83965328338307,44.159241146926824,39.682638869135076,41.67576918810181,39.47129022964776,41.36245081275872,42.80154375824912,44.90589582950244,45.87564914554816,42.80042234814936,40.32160894819147,37.93491725548923,38.99612916865509,37.98858066804439,36.51999808048011,41.39027884049236,40.17475934851482,44.518088941168735,47.23907410239896,50.85661533198655,52.48122693605132,56.00845513899249,57.51973193867735,56.46654530510162,54.204569702595656,50.07627476792384,49.59235870787467,47.801458887639654,46.191786407961104,47.662091897988184,49.476305894313214,53.26922383866067,49.885303111771925,48.43290474242866,50.856525123804786,47.611560555093675,45.59135602260956,43.30329039555707,43.35151204572706,39.15587398236619,40.03355898081166,35.756223733924706,38.24330137261131,33.102775598132254,33.861608715925115,37.94510321432379,38.41427643437447,41.504000914994904,42.62765796990058,45.649346525259695,48.052022817435216,49.013600717362536,49.856872894603335,53.61528849140239,56.17384783778964,55.555129868180764,58.01561732309055,60.5307393576042,58.195181457544926,54.541552663267225,54.27914591473535,51.745809234948226,53.93356928960204,53.52558306636929,52.74151844470182,52.079773299410924,48.91309426141308,53.44677518375459,55.297429960975144,56.60673832629792,57.18492546614191,53.56968277789532,59.080257771480504,62.2035672604963,59.86140660008852,62.07592822073282,60.19737143323453,65.3983277631518,63.18059191379705,65.83098259047709,66.22373205753661,63.56226205038756,63.36639609484082,61.33454870542525,61.527268374882404,61.868276205404435,57.15383566861898,57.62047192572599,54.80496824295039,51.95140115684612,53.78608621823709,50.55638184005035,47.94252098832015,49.75033000517639,50.15293960089651,45.42820226137609,45.1893987086131,47.55096046804204,45.97582072453042,41.32853771942188,42.79159776050137,43.51556772500597,39.28209276488569,38.33053726353541,41.543680168919664,43.989595912271106,46.15062903898165,50.66040910784882,50.28168560375274,51.55827163412349,56.81905315842184,57.73749141258675,61.632591576534125,61.92561916845283,61.11049104879419,63.18487565188941,60.83091028585893,65.71650851576308,65.23414136301479,59.97560602218582,62.59759508193706,66.88173266605337,63.51885345791551,61.45623868692811,64.97531292888446,65.94739722125514,61.90315613756706,61.25664023011533,57.123532677510916,57.768970551808636,59.8503547842408,57.383920041458786,57.800800864718276,58.249441548022,55.40802945120805,53.74534412134862,53.64484713678648,51.915798257781795,48.71742463889486,48.64136084381661,47.609328387014,44.49549704665371,43.829736888639545,47.388440357543885,45.074306227136375,40.76614006476609,44.32051975568978,47.594964342433805,49.045882592830566,52.272793854542975,52.62598718379825,56.91274553757703,55.06311517281079,51.25448252361091,55.757279807974335,57.41220112846624,54.51122384333671,54.869070644084736,60.526317131735624,59.369535353768605,55.29763343957675,58.52103352661253,62.71638184818255,60.55192663152449,57.44882121156683,52.85439422688932,56.67401824875582,52.48515478790794,51.53361463839503,46.931694910771576,46.52362117439177,41.620107913834424,42.87771879572134,45.5939142932224,49.222277517188395,50.19152975249419,50.51762245705607,46.72775140833978,49.16145722451373,44.88821812619631,42.274214422697575,43.85989938303337,44.23295306580344,42.00272093890577,39.77372402392832,39.53141742960064,38.049017146291305,35.423002121080444,34.603766403145094,34.88128659988479,33.04623047537221,31.66480821962798,32.64581236104184,33.33475539426311],[29.847917401943423,32.06233865715898,35.12541600531619,32.916259621470175,37.51833581147766,32.21416528542555,33.155207851215415,33.847350452760274,29.985988929107588,31.646737779027294,30.614486883814962,32.11149790636229,35.69401189053418,32.51937832739352,34.89314379331771,37.966607043550034,39.04481519229687,41.932910640532356,44.48384847842192,48.04145381820545,50.83152445219112,55.32585510125981,55.57205794911344,55.96008050753624,53.626888789122454,49.22860763633551,48.596950699807174,44.60338300335744,43.874549164869705,42.82803950126691,41.670320834471326,42.60128690303308,43.432193172074335,47.1455742600648,47.440466276651065,47.04486812678177,47.50883301400087,49.73910080596682,51.09391564066182,57.455799752682225,54.89851340455878,53.50564400952279,57.80977168848928,58.74799167801987,60.75534122197391,61.69799443855532,65.44353869798066,63.434306553507,61.3002924467319,66.33183049572753,67.61430508154909,67.72728568315651,67.92516232730564,62.36672761663471,65.56699431283592,66.90253498047218,62.66189662494495,61.151228159474925,65.4072006121814,65.78498632220477,61.38298108557841,60.71716567396183,57.80754753634513,58.88114870255082,57.980493702019906,54.606760265478464,50.26950714847583,46.849033174990545,43.58289653311009,39.88388664755209,39.00803886510127,38.90306930528316,41.0018369828265,45.80086995236431,45.44008165934526,50.500016562568646,52.158788874515714,53.70627015875595,54.795255954600485,57.75759317221268,56.43576984902479,58.063514602439945,55.88210978720491,58.32113565922813,56.23464603037207,52.959249308963926,53.458283254302046,52.52265379332749,51.17677107501896,51.43886874232619,48.10692355655504,48.41715790494632,44.64416570554811,42.557804587323716,39.076848257618394,36.62902359261032,33.83492122241788,37.94421151063781,36.63755172606105,37.290926536994306,41.97514895816565,43.10218000310433,46.406643454085355,46.51894327774145,51.71901644939604,48.234778202433226,51.30021704809971,52.11000822714057,48.42121039115504,46.62493723594776,42.44464661475252,42.548873760148645,37.99012702665329,39.57393649243837,37.328322393427676,38.8167534335216,40.33586198403433,42.03181065650395,43.14553639029122,40.4625511905444,37.724868768681496,35.4254616349995,36.064212850416325,35.28723002728265,34.086547431918845,38.93662188849111,38.214231885372214,42.49161618688274,45.373754085173715,49.20978875576273,50.49412363823392,54.27619074707471,55.53386416496146,54.829160425404105,52.10394894318363,47.918372127257115,47.11143813873964,45.15898690792655,43.29407373447056,44.94106673185676,46.361859432020346,50.30480266128296,47.10045443488139,45.81726990580056,48.49078119962327,45.557158573462665,43.42288807691014,41.53012048538904,41.79695125786914,37.75795349548302,39.04762451063465,35.13363285597065,38.210832432058396,33.51861069733387,34.118977409335635,37.894887601907605,37.83363373914223,40.84994213501875,41.6691874046248,44.470936810851526,46.31370695557406,47.31395862145842,47.61741928860491,51.55852630240562,53.83268807636817,52.78930079081662,55.4572279879737,57.70798391252402,55.40188178019186,51.6869390583197,51.69753287705274,49.23313382829407,51.78246791323471,51.688129411437615,51.17824789112601,50.90178075827324,47.79350489691462,52.635070963666465,54.03376522932744,55.42575842887755,55.507627870735625,52.09465971264459,57.440936314269166,60.398759549607796,57.87808248702398,60.10718094907767,58.18129819387614,63.32221945744134,60.69080746793596,63.4176626385721,63.6902364843337,61.21539192845551,60.97662373654832,59.0215274073566,59.33406184051893,59.694813535802595,54.93670642286698,55.67501434899824,52.873124483891885,50.315688627118874,52.34801678474982,49.41266680128444,46.50409663637701,48.12139285039161,48.93704552103746,44.21951661688033,43.3667740988388,46.06584739794631,45.078971610470724,39.985044299929605,41.26645754076603,42.397682675901315,38.31337441695042,36.76055648323608,40.10858827007903,42.29888071712175,44.92045456295567,48.76295783070865,48.682491466229656,50.30916083495393,55.578661491197806,56.83645546464672,60.56185296137765,61.13352074771301,60.20023574083324,62.39925146309322,60.03023656317849,64.79552131561634,64.14596354683266,58.68772970493406,61.37681299530447,65.47317560400165,61.89582013309317,59.8057082792893,63.287776996505755,63.99714592504491,59.86305015901479,59.194521049815556,55.277621542570685,56.25969822865033,58.5701508753528,56.38205054104993,57.0962786325491,57.927353794949724,55.05734163308668,53.00387711577992,53.23838004918119,51.83577040437045,48.30496742266038,48.04659460925277,47.482314743141956,44.44408896735684,43.33337786434705,47.13307657066578,45.15895747705999,40.634386067466295,43.895326413494296,47.3803311043874,48.4787757326165,51.804842234880134,52.02052442936606,56.2546086171705,54.315737874621604,50.18295281572493,54.675816222874246,56.21450454776571,53.15089413083887,53.29540331196451,59.0393503445971,57.68676302343485,53.376599591826235,56.579146329942176,60.81043671559348,58.460287027667746,55.19505070756576,50.49168226022407,54.13534043332656,49.77170832298703,49.19603984540788,44.46447584198164,44.4059119087685,39.52542934177674,40.30015323378108,43.01730683763193,46.51007954138776,47.59435745862766,48.331488712008074,44.562291723429354,47.224400805708036,42.87149633335201,40.57566072556015,42.70515584088231,43.41051016988309,41.400611030615345,38.62731876133059,38.52868014415157,37.59226712611935,34.63153261534331,33.344079654469006,34.249043962796875,32.90338032183218,31.46541044257595,32.72764284358441,33.588482714615694],[26.816789071682525,29.233164789122448,32.55822576386459,30.69668912173437,35.74725655777697,30.806912758122508,32.34092469145988,33.41976301958869,30.00214490246902,32.09935140205293,31.618989742561563,33.1741183584839,36.58444962186283,33.60200346917688,36.53631333471985,39.43850124800861,40.22008565391713,43.49873748828684,46.07414501350404,49.51485952618553,52.451085261947625,56.87204563684092,57.14897718044657,57.29572819420783,54.79260562488217,50.446626707847976,49.58572819832918,45.54370848584023,45.08000768861244,44.022922921432425,43.62679575974513,44.13319727588812,45.37440855872517,49.29279903522534,49.19330217280375,48.66766160185091,48.75343685643043,50.861449438364545,51.92368065172642,58.240102170401514,55.592427764756486,54.65325356703175,59.018487273545574,59.65661577362413,61.737373267335805,62.41964856028527,66.27298897383807,64.30781145444396,61.80430562140944,66.77280249208121,68.25246479540287,68.26454595479987,68.70582268359985,63.090989997161785,66.43666203633077,68.04591558145283,63.81241662696233,62.5415480341241,66.91156381763004,67.13752362303158,62.9639708251371,62.64718369250225,59.86171695273396,61.08005324583421,59.88257290482649,56.40558543101413,52.28301587861475,48.848113055789774,45.6164390082175,42.04145231349941,41.137248470413915,41.409157157605975,43.568213708979926,48.28850986898081,47.808625935667045,53.14872949208754,54.36947027927573,56.078029971686746,56.81985216615928,59.52167922863949,57.94251052864088,59.19518526965866,56.8237153914289,58.950768643417746,56.79947038438834,53.83247121606754,54.70435223423388,53.922143379713916,52.89205623834866,53.53121198671675,50.36214687660597,51.093359496596754,47.25630200051358,45.013843290213416,41.23163430294173,39.12112452438613,35.96557342805134,39.80123885119594,38.08548563585265,38.472279454338555,43.17451264697865,43.647412050807034,47.12279381867245,46.6177808772312,51.587597782216434,47.759911358220094,50.547266026926174,51.048120306980806,47.11472966370699,45.669011537863724,41.38088404186551,41.958287356475815,37.55435711356359,39.27198707801969,37.60525838765203,38.98304977207528,40.962560352178805,42.50083432790469,44.28393413270505,41.72733644832575,38.82914718040172,36.27475924237783,36.338148259602036,35.27130970413084,33.74074449945385,38.2625604498547,37.14337307235052,41.500893261168926,44.188841553005446,48.31755382231382,49.11619209934199,52.938663171553216,54.40033799628531,54.02744657672216,51.181526456042256,47.15281978239134,45.80014525303193,44.276343325793135,42.617378313832226,44.65146667081159,46.23136054334342,50.51389623470942,47.5720988893276,46.090707514882816,48.97056143884129,46.18484249999482,43.78968459263369,41.922408168053536,41.89062716833994,37.80678797686672,38.807655667885534,35.18719386752105,38.24975650265615,33.658162026604195,34.84333753868113,38.526029882714354,38.47972832152627,41.07935350485837,42.2646169698779,44.45724016220493,46.25014706757251,47.781102197770075,47.68457205675481,51.823836848876816,53.67184124741818,52.32656806626542,54.77535296849422,56.839781268179166,54.24013545251617,50.69885788192161,50.76520681041845,48.62532777336238,51.46547259310834,51.596988862219206,51.39114685041095,51.1788566080723,48.44392577743778,53.29027967842206,54.542172267544224,55.68377772169573,55.51440463593414,51.817136182361914,56.990300471437976,59.89273193245026,57.456843006938804,60.116777517606614,58.51218667474192,63.55889010905024,60.852949368363824,63.2686895602163,63.2577106851468,60.7496484754045,60.13589419856329,57.986539224367554,58.1027617656877,58.15460092894981,53.30756781542323,53.89924201086103,50.814473106729444,48.501612533916806,50.18223210535947,47.4559286447535,44.58320113327272,45.72354380238252,46.478517849225774,41.891507935723745,40.725699384473955,43.21447175785514,42.387097595938144,37.206750352605006,38.147801314353124,39.1891500067829,35.31458613453295,33.44936227822296,36.5017986062996,38.774417658685586,41.300535234308995,45.1543041170915,45.33354216262682,46.88316497118321,52.204797170179454,53.35806342924256,57.21965209588722,58.07210801656363,57.36570816267113,59.79285265189975,57.721914451833726,62.443414984398196,61.48714441204607,56.15955906711514,59.11661349714496,63.000872942615835,59.27807884430678,57.442607735277036,61.09525747309858,61.44286454516212,57.25130928838067,57.06596470740975,52.971768369725154,54.42661709213375,56.63809429553037,54.2969087436227,55.30840142462441,56.06120705173328,53.53212360457156,51.23371346523262,51.17784186799391,50.107044289232576,46.64167115033933,45.915855679555634,45.35611088597051,42.422211868633845,40.99065733125301,44.57826789178955,42.667900993873886,38.05406271140562,40.969269934130374,44.4090319285712,45.469501658293986,49.00093645945435,49.4910579696232,53.598600971566846,51.31004445646694,47.30424922965657,51.98088122177835,53.19392732294881,50.03460517361919,50.47667379401644,56.09318973072911,54.41972070256205,50.25807228906601,53.7250476385627,57.703222060289896,55.12320050493371,51.95793490570496,47.27997282262552,50.68515460250403,46.30559389548576,45.53359824717561,41.010571982336124,41.21142446953918,36.490990964606205,37.093426149608845,40.02374525874672,43.452984330948375,44.83982989911843,45.65538679178096,42.31384495958965,45.27431678155009,41.21506902537557,38.5767391282573,41.10254961433078,41.619217417948576,40.080497137796264,37.0907235387561,36.44500192486696,35.787994182806216,33.35694465839775,31.357810364559636,31.959365299304064,31.076552875691142,30.04443016565334,31.66186233917417,32.79575113805283],[27.048536081989145,28.935797148738068,32.082897620416375,29.159294903679882,34.16087028577306,29.80355625176837,31.043450102021577,32.70124837599773,29.029173175287593,30.487357078613705,30.241213758260994,32.449367799957365,35.11066933017101,31.640475016964697,34.91045752618223,37.92017250852135,38.11524883910201,41.2476049816181,43.285205736985326,46.98397460236632,49.65189387408945,54.13471368220617,54.11827866184223,54.04041614000179,51.71787152173573,47.372165824326316,46.809091283235325,42.947374211436795,42.925901166160656,42.38150381723733,42.06811768537947,43.069363150338916,44.607004339520074,48.25335423336237,47.93051500204731,46.94196017259057,47.32763684953991,48.78629919457377,49.67696137082401,56.07651325150824,52.93080430652373,52.03616004189277,56.45582546971113,56.84991124010087,58.65976912984,59.14820372053406,63.07415200402028,61.41569237336655,58.816419314647604,63.726640757050056,65.50435618492797,65.66860094720887,66.2783727659505,60.73523599102724,64.40790357029012,65.78399586415338,61.40703168535873,60.48009962772362,64.80466285424498,64.63702562756723,60.427225314462845,60.32904791612043,57.78162022831257,58.65155793174828,57.27259435877364,54.04464491839607,49.66376720414616,46.521015243764296,42.920879737827555,39.67512176993087,38.406080766151504,38.59655669485145,41.18863126098385,45.76030407656364,45.742114680388696,51.24927097169178,52.407414696216854,54.50915318684094,55.16243451630812,57.7061566356627,56.42304800034886,57.49220786671469,55.5078515830282,57.411007898188025,54.936021966209225,52.12319303264277,52.7915222987551,52.514771188011316,51.077993844106295,52.21266199649541,48.81310212354188,49.61555168251293,45.92547953772617,43.991371985665666,40.065883105764975,38.1502083857976,34.78900939432526,39.13270800305542,37.59318902525781,38.717538870354446,42.766091922803724,43.53031624566482,46.46440780867995,46.091366964693975,50.7473854261348,46.88816074865394,49.92386743326752,50.14945079050087,46.253274962746985,45.02343947785341,40.51652033472149,40.655211157459924,36.18386442125166,37.32647192062948,35.45731458943372,36.354576184761896,38.259031439594594,39.32893701250953,41.06901273315196,38.97886707465357,35.87318276630656,33.546012874072666,33.25338517183821,32.57947174132041,31.519113355771193,36.02734297681387,35.6761327485589,39.84410811540167,42.75690216479195,46.98489013815266,47.544754494009645,51.616679160786965,52.6858110427817,52.60839626741163,49.285499820022274,45.17939358994373,43.64397778716384,41.789655306405436,39.768232172760314,41.867550050863805,42.90140771398199,47.216301341232956,44.440890992797804,43.23822599696325,46.31530878249048,43.88492812909701,41.472107578514574,40.09520925398041,40.41918246683304,36.61674632708311,38.17841099260883,34.95982449172531,38.62086862339192,34.59597041788941,35.36652986235328,38.656116265487555,38.01355792251127,40.61949374652351,41.308899071826254,43.41852446267029,44.54650094687037,45.92459029133742,45.325506167684885,49.56663915421727,51.20310292597727,49.46533460390817,52.2151803256189,54.01185143074587,51.5699008379502,47.92306696748979,48.299206904305436,46.152444588236136,49.295432849116956,49.718355351382726,49.73117657279961,49.94430761183229,47.185457583648024,52.317658537615365,53.091058920114584,54.40136690922938,53.74790447234366,50.4251245138311,55.414599854149685,58.117877211244334,55.46348654572383,57.97056083367185,56.21567786001621,61.18848884397517,58.04985921463562,60.63881281732215,60.58203474780243,58.32037240377366,57.79077418729477,55.816637291639445,56.14592739556505,56.334290698287504,51.509455091710876,52.479086157612116,49.55129382136882,47.527765597975666,49.56700924935948,47.1429879213271,43.94183727793559,45.02476624099091,46.29714037688458,41.73501453154069,39.96000586448602,42.915689302557325,42.75331958714655,37.15907171479421,37.99953325454994,39.568065403218,35.867524779040906,33.427692783291846,36.71706610635162,38.58478061015021,41.68919649117002,44.647874265572604,45.07984811392928,47.07588330415813,52.320426365195736,53.92188728665903,57.47761673826425,58.52971047003644,57.587288304932436,60.04246748060822,57.8455225044553,62.40263249169877,61.384853698904934,55.81202242073301,58.709787999676855,62.42709002459069,58.53900432673333,56.57989771092236,60.08839105643821,60.268906397388676,56.02212647888666,55.617132950119604,51.889559550495676,53.5467776387748,56.04903357836785,54.1236199197433,55.35346478150409,56.57802354074487,53.90375950674548,51.27435295415936,51.73259105194781,50.9175928756913,47.08661350259199,46.35017273802734,46.348166419948335,43.50842141929363,41.714875404379285,45.61690085823292,44.11271183163618,39.37615513732535,42.03336258034266,45.68600769261851,46.323681412188954,49.83151535855278,50.03162385190684,54.08294734245687,51.86712417987215,47.464592687285766,51.99339421309134,53.1939552979389,49.913941194716486,49.96279310737962,55.68369486867493,53.92628417715526,49.448587439546486,52.74417612528127,56.84033822033471,54.154340776684755,50.77269983832359,45.993977136681565,49.2506878694184,44.702014803763454,44.4951727321134,39.76789279381074,40.29848521036027,35.6172513702942,35.658714244262086,38.45929562186386,41.70009573401415,43.09521847455627,44.382897831865066,40.93950785631767,44.0265800706918,39.81722952639551,37.74821773006217,40.73498684796614,41.71457662066486,40.280923079807934,36.78885409843606,36.547846910838764,36.44804644913414,33.4753217496268,31.243320999464654,32.71596925904831,32.24856494892937,31.025082412564664,32.777792329697085,33.95410579435423],[24.708022990884768,26.805669547016016,30.20048153318538,27.747926001727066,33.14750319584075,29.16274006103233,30.9852655873044,32.91075722099723,29.74225739658274,31.648083468623316,31.855159259646385,33.97473459923853,36.55996555212538,33.387547339071965,37.03337699767443,39.84158003065063,39.87062144525219,43.329796929021015,45.454024138260635,48.975443498509506,51.79245848597248,56.16861159632479,56.225269630386535,55.96869696456246,53.48215896220134,49.21847273624909,48.40912702375869,44.51390762624887,44.661326228209056,44.03500340490904,44.362822622034514,44.91784203277344,46.74044465489918,50.575251216827624,49.95746213359482,48.937209149272164,48.94736224895381,50.38502498521168,51.033244199328855,57.33719771677008,54.20079383786168,53.712769077271616,58.149484324496875,58.308493386746036,60.21378312056992,60.49241238601357,64.48375604293096,62.82876054176479,59.92618002755856,64.7617489635482,66.66665995837587,66.72120107626246,67.52351570011896,61.94806163082495,65.68520238757374,67.32916698349423,62.99584375621319,62.23429063027444,66.64929020159147,66.40815147545938,62.425315530760095,62.59595835296289,60.13384703991924,61.17992332761131,59.57881523809471,56.24236808761929,52.118753620774015,48.939285528737976,45.46261832637213,42.299150781621194,41.08429282198401,41.60552109762141,44.142532328667194,48.635662352249064,48.43754580187356,54.11451725988314,54.9051933031931,57.06796219933157,57.437264918085305,59.76712593281048,58.223881232294964,58.98606457496491,56.78935748788901,58.4383746803688,55.96539963594276,53.42313171746336,54.44481930494138,54.22855700220003,53.13613036477389,54.50807416305577,51.30442433352101,52.44158946662776,48.696154731488825,46.5954819082548,42.47901330842263,40.82150942542751,37.24036483211679,41.22782037722299,39.338069051882506,40.11888247672177,44.23587151184956,44.39096420412816,47.52085247840025,46.589416075933414,51.04299457460159,46.90443818366849,49.63325946728202,49.599933043710536,45.49835169730207,44.58505128406664,40.04261156684059,40.67416683145443,36.40945479651289,37.73269529407117,36.45140756740406,37.30067934270608,39.61266227049018,40.59332547531124,42.92928819007349,40.90337875301841,37.72894026735418,35.17348284866268,34.41076076090967,33.421985977698334,32.00680888955137,36.13293113972385,35.31832897436489,39.53463521053474,42.20698258051517,46.667464353598525,46.78941352326343,50.84616668431765,52.14622996652662,52.34621015204165,48.98843038048238,45.069649965088146,43.044344231549125,41.66051645218712,39.9030113894721,42.34114861036223,43.58826348997874,48.17781410705058,45.646182037508396,44.23312406102065,47.44298499919801,45.11804462969633,42.49637407258862,41.08938680604069,41.09105928245393,37.258866385554555,38.46827540888679,35.50789689348772,39.032685300430025,35.0893296055818,36.39222148900616,39.60936979203226,39.069552869144175,41.2789910026805,42.34947783328971,43.905333724547525,45.06289473092384,46.93033956314071,46.04145701507552,50.415575589054164,51.676150826844406,49.71940410899208,52.20631557059244,53.848110013889645,51.12035141766736,47.676886130857184,48.066343995830984,46.24604083764767,49.59880458599829,50.18983612482397,50.4507475104783,50.66358341637976,48.26173841347964,53.32013795333064,54.02411704468648,55.07814104823206,54.266283362820026,50.65832987630672,55.47971100712857,58.141319648155616,55.60774229439262,58.51504060314354,57.08424240849421,61.95116186145316,58.82074844047194,61.086420038835605,60.77365848575647,58.46354499304035,57.57410817851604,55.40503898059849,55.52097376381413,55.39861750575225,50.513050974975094,51.296214395172065,48.094588202914046,46.2909553150069,47.943204837545416,45.70801732353551,42.59593628920007,43.21008307842177,44.370786437448196,39.96828959729964,37.944077606778926,40.63274273292082,40.580155738087655,34.977057045052746,35.46934466975295,36.90271304637302,33.44086275748997,30.730656971477966,33.67090045661795,35.63388938563899,38.58960225849556,41.598290646111685,42.27848302996465,44.157944907371075,49.43961874230937,50.89721685438827,54.596821085755245,55.90578267059993,55.20635860969307,57.86824350109384,55.97521690848889,60.48787032088567,59.188585175551786,53.78164355177136,56.932274385463444,60.450495028609616,56.4483308893533,54.75515934114178,58.4285772113402,58.27328063232615,53.99193283895723,54.08054206817788,50.16289980563261,52.24724064259638,54.61369622328582,52.51083830300276,53.99502890288635,55.09384222847485,52.764213287540024,49.956314032973495,50.089963373353264,49.56568980156505,45.85863610360115,44.68744953268829,44.64237297532239,41.917351651589804,39.86351965098857,43.50473772848083,42.04398212526893,37.27739901473011,39.58826613318411,43.15469667875437,43.77954327762706,47.46674842294184,47.95327190056092,51.86564248100951,49.31714606832063,45.09261552609072,49.78883711079217,50.66721207499966,47.31561835191467,47.69048984663287,53.25364353234761,51.19285669269571,46.90283241223145,50.465797671898144,54.28913720068352,51.390515291891035,48.134879846988085,43.40184347310745,46.41664982665653,41.868410137056365,41.42256367823886,36.94154452264584,37.72208724404445,33.235564276309006,33.12683719818307,36.146819389004904,39.31785381026243,41.01963392456414,42.343090231272285,39.36065209907888,42.70890899249843,38.83731584692145,36.39916886924754,39.698020562621565,40.44423486634229,39.460595932995865,35.85268310503084,35.050645523733984,35.17581336390312,32.79491523501699,29.934288589276427,31.023947974449463,30.981554930721835,30.18312476488541,32.21764994736482,33.631158126096814],[20.594839540908463,22.86912210727947,26.3190132911379,24.418804735599668,29.8427920161069,25.59355165564795,27.693778191190212,29.45085775759634,26.612610260620915,29.00484504548557,29.369548853499857,31.182827015334997,33.98327616669482,31.241548045372518,34.961090509012614,37.564712742238356,37.76944548049866,41.5078510967888,44.01638210436707,47.23956700068842,50.324749751206504,54.57782124620167,54.88874907741346,54.689722313244175,51.967913665269485,47.76404919324926,46.600350417417594,42.576927726626664,42.555317135446565,41.621298556370554,42.35279126555694,42.389044820711405,44.312609488289226,48.36497437626655,47.60897182049996,46.76728003678552,46.40129624213208,48.13881827048513,48.751758601798336,54.94579142310558,52.131153648326126,51.828158706097305,56.22996091800046,56.424190367369356,58.574200101844056,58.900588396454665,62.85907346943781,60.97457055853137,58.005858817401226,62.84455844732931,64.58474496921275,64.48583983496519,65.26731191201365,59.63806146697739,63.215216297783485,65.12937628033241,60.91474466872136,60.050430823529105,64.53674129664492,64.4844290528112,60.666792343056535,60.89622218111421,58.36991360768354,59.753428627651274,58.08959551103338,54.52817335624562,50.76668075298116,47.389453112398506,44.24543279263114,40.963177825126834,40.02204452854495,40.90506773436985,43.106848615386106,47.59894182763545,46.97811501060744,52.70961700255564,53.20672624459358,55.233300072494444,55.413506381260355,57.65977805709805,55.807635448019106,56.47085181141837,53.988353895879115,55.6074865900411,53.30109608947829,50.817337102869516,52.13538750087844,51.71915864044169,51.039619428379645,52.36572015503902,49.42094478579637,50.82031910958059,46.98161291476763,44.63365236163076,40.42213215455879,38.937912572912666,35.2542539416033,38.77022966806791,36.58852084834403,36.97164078073716,41.25751210657604,40.99038997892798,44.37130142196022,43.13778047825211,47.62074685857852,43.40908537169051,45.95203458527926,45.97877768582449,41.83062217024704,40.88282837177609,36.428614125340935,37.38295369327624,33.2249237304409,34.911222860471895,33.98407864079569,35.11377491874905,37.6537247827221,38.93424534854223,41.61018756299947,39.291743816095355,36.23256390131157,33.397017444626634,32.66479380534278,31.2577082531045,29.404480400177352,33.407588398996104,32.02816502664512,36.35232518390924,38.8540731493251,43.29895628725722,43.48395007915181,47.39978755980509,48.94484630985759,49.02894413678696,45.934508323720756,42.10613116915752,40.127089190899994,39.04183530909169,37.615153042552066,40.08103566612655,41.830439755347356,46.469376412920546,43.91097508710631,42.20029919513885,45.31888119998344,42.82089746716809,40.12112629768935,38.426135066615956,38.10847025184203,34.147784303157714,34.98877214648714,32.01749263821728,35.322123991955664,31.347591201372442,32.98610321971449,36.21812200677047,35.88790858055489,37.88896303460474,39.3129542817489,40.648396520927385,42.12698618793241,44.27144881653344,43.558180966728166,47.90981557965935,49.16997802900207,47.44181295971052,49.64186956194145,51.458746257476506,48.58008931654771,45.24641975006574,45.40232912456784,43.65177485699618,46.85204090851449,47.32303475313433,47.55900106227165,47.56991401371541,45.34686802219887,50.2435683919654,51.11587881760412,51.98240072767045,51.34826727879542,47.45886973183683,52.319026564312985,55.07608651805236,52.70158206605548,55.81832532441426,54.59846853821291,59.4706731886652,56.642627983338855,58.67453326740982,58.32722224582145,55.83179412768475,54.81536793332903,52.502709763797306,52.457619934800206,52.23031642132335,47.330656190856544,47.88335132984715,44.600917316086914,42.63882059933738,44.13061437210855,41.760031059232674,38.78333268421707,39.44868418500102,40.397343800404585,35.962910024030876,34.23892157425153,36.765326998552766,36.44348714034115,30.97101400860312,31.593370008093622,32.8778747150887,29.281980864234583,26.844359324581248,29.860992634813744,31.95183159724216,34.76232157212917,38.14975871128021,38.57159902313037,40.320567574575634,45.62556232335622,47.007852974163,50.741349215557165,51.880958749765604,51.185689959102234,53.79678546623817,51.90015364538972,56.48061314683954,55.249046554271786,49.905343196166235,53.05002134516783,56.671923449072324,52.76935735948464,51.089452919204994,54.82190974347279,54.8130330572173,50.56786838811893,50.70503171902718,46.59512524755876,48.550851693668506,50.787033597234284,48.51923400411959,49.92717270582012,50.88652511180636,48.61410968013055,45.88812272579629,45.86805397698269,45.29464946091514,41.67793155638433,40.49204701238724,40.32195625649819,37.578667663958115,35.59498891204092,39.20270580707012,37.67756035623556,32.92129344769974,35.33456648634582,38.89558083685089,39.60251733065562,43.25719380316702,43.76566001405387,47.72158178906236,45.228565449997184,41.074491557769775,45.794708184102525,46.76247398020488,43.478433478923755,43.93198952857105,49.49918413446102,47.58966812689691,43.38556115429817,46.9585707988822,50.81398747205176,48.07135742010786,44.88979062152933,40.19838869718739,43.458403117492296,39.04172601493071,38.32273252807993,33.822874380670726,34.26210868544462,29.67119452657722,29.991141447530563,33.01829403153045,36.36524359306603,37.94623196209935,38.937408507082274,35.93870397326809,39.19970587281189,35.41941999027514,32.66846576099918,35.79039130619539,36.35431885013405,35.39834334062816,31.93281370618833,30.940668348977447,30.932318520700598,28.78923049823147,25.90107856175005,26.72954644449626,26.65469798063088,25.959271127293096,28.05651988291604,29.558237819337798],[22.33511172420168,24.334165254996655,27.459950285172503,25.028431856837333,29.95918739456739,25.157520354912613,26.584807927893443,27.981172190451353,24.54863066193682,26.547534821165048,26.40771688797457,28.269687445059507,31.25507461768501,28.24897115062924,31.59238490453078,34.39866415886328,34.850810429473285,38.319761547704964,40.85910461440698,44.21553929053542,47.222516980336344,51.578490816403885,51.880028212190055,51.89811826895093,49.28713695198595,44.98968830684802,44.002323262419566,39.96004770728673,39.69489190658385,38.76525125006933,38.8733533584378,39.28228354521095,40.9209008442764,44.84273050974788,44.37888230522245,43.61523974348339,43.58100385714047,45.43104510031677,46.317945885083574,52.6202887126755,49.86686286728337,49.14360399110418,53.53371565268796,54.006691252021405,56.11933489476247,56.69886364810664,60.58341604920322,58.62976234188787,55.986503830888736,60.92509283228624,62.4795406803887,62.471376997741956,63.0290510236606,57.40903181248436,60.881898192839564,62.5592290468076,58.309749908594426,57.22773162908571,61.64645143768389,61.72682449958711,57.68525525778236,57.62562372584693,54.98005981716594,56.262111014184605,54.823089763292764,51.30911178155301,47.34465685185085,43.93420386249422,40.73361023176272,37.29941702010565,36.377772017922254,37.01645240435846,39.183237584946745,43.78648861018985,43.23598897096243,48.82570598956049,49.64886535511868,51.579842391987185,52.02766410926021,54.50104812162783,52.8593242318321,53.85096532985588,51.532646322362474,53.44801458945747,51.170896853496245,48.375626134302266,49.36608975433017,48.82769966463071,47.858656261604445,48.91215891103606,45.80141460519529,46.91005186423641,43.08409277077795,40.837305149013105,36.77911057036187,35.039687283078074,31.533659435734297,35.36718265237366,33.49443944366661,34.1977080466681,38.47334840869795,38.830367207326745,42.052502761692416,41.41072229698024,46.16221802169404,42.254424887313604,45.14176341095541,45.49227295014872,41.57669056065586,40.23181295748222,35.8227042266196,36.24165708267605,31.828448496120746,33.391655766675484,31.835128763351598,33.10951831385937,35.247369007184375,36.7274318325188,38.82766831809738,36.33244933143415,33.36431761981083,30.68572149052634,30.512382197396114,29.351127267241868,27.795519131529378,32.26911320379142,31.32680767085768,35.63346747181304,38.40222857031817,42.575000409237305,43.30704570449288,47.21930960324815,48.538538259085826,48.264372914261244,45.26161747063189,41.21387097373717,39.832937392348875,38.243350291714485,36.57361295371124,38.65236591371643,40.289013277969175,44.6404016811415,41.7782870673343,40.22446202924177,43.17809182785946,40.497012379496965,38.007184112667375,36.26046442873279,36.24789775939368,32.26258181355037,33.45927427827273,30.1448423622555,33.60566509951933,29.510968410843784,30.569600235256924,33.91410209997337,33.5007297855349,35.9490000502614,37.004696233553446,38.96181863669878,40.488007048888015,42.128517879669666,41.799673095173944,46.00823465066935,47.715678323579446,46.296693075977345,48.745821515061856,50.790854298937305,48.20985064492532,44.652024242204625,44.737838380029004,42.608419526689055,45.533125740578484,45.77749083976725,45.71414512252802,45.67847036985339,43.064669819924674,48.03371193608325,49.03009843685264,50.157035418564774,49.74945335477419,46.12118608822758,51.20534182716146,54.039381776447954,51.55271912735744,54.25291058485982,52.7034919687036,57.71040209030419,54.93997665243127,57.29682297748287,57.23988401308052,54.756695356262206,54.13190355328277,52.01350773359081,52.18645874445667,52.30873925827709,47.47695682738803,48.21104771775519,45.24667825820863,42.98300636336276,44.92437510606846,42.298478500325935,39.233408816878175,40.4932353987078,41.54750784299973,36.91438732940902,35.5556121934299,38.39006848327123,37.89433503674059,32.46843473813317,33.55352562555059,34.989517232600036,31.093429307297452,29.054034742714123,32.50995826125887,34.476426720353246,37.44380050156653,40.79188779919367,40.86602994428442,42.74013345454482,47.98189152931684,49.5324696851861,53.07294038772056,53.87259719363646,52.8779291568327,55.22141264870282,52.951495431091764,57.5921144721246,56.7190426373502,51.184096425639474,54.016591597766194,57.897572820616105,54.15167742697564,52.15091661220412,55.69054111233622,56.113732539600925,51.92316908569331,51.46944996236416,47.55841061985311,48.96711006513576,51.3457875391816,49.26825123600211,50.35287735946557,51.447509783901964,48.75829077247586,46.26383686507292,46.62526623818662,45.684995263286844,41.92464582262554,41.28111898329478,41.15427406426699,38.2680706018608,36.62252021185571,40.554288672142086,38.97810462782007,34.27556434984347,37.13216000565305,40.79282908917215,41.51571462352412,44.92586083505268,45.072789302229396,49.19999089839833,47.13765784526226,42.779080659955866,47.28030516870639,48.660526370337145,45.48347851078251,45.54035758022507,51.2915020394499,49.78551538293943,45.371396234953316,48.60982443082139,52.79918526946829,50.349582783515345,47.029931369422556,42.29701382669586,45.88530463130955,41.4937226316877,41.03768462482839,36.24550468922115,36.32200596198187,31.488841658125118,32.059123031658004,34.800244220578435,38.25123777981485,39.431231444774596,40.322234644618526,36.74904371840401,39.669255197347745,35.48256137706953,33.13650997016058,35.83451734673936,36.66392890767975,35.14462814160772,31.839662401389468,31.537612863852367,31.222402012818797,28.344148059821944,26.263138554478882,27.56619490482067,26.931824443968825,25.691776710546698,27.445144460054685,28.685794979810012],[24.04813281152189,26.360379552325497,29.43724343914032,27.740479041758505,32.38420517656488,26.92313175497313,28.225830342858,28.868403573846503,25.409401596324795,27.688759725503434,27.017956999600088,28.269448697421705,31.99855034603224,29.303748155214564,32.031825505152106,34.83912682971524,35.94630219243526,39.305038688389715,42.25617738776197,45.46590524042997,48.59961379628315,52.939997380654134,53.45419785036383,53.78168886711915,51.12780807177407,46.81020418438856,45.71998148004784,41.57314445141465,40.80075867020596,39.45672805839597,39.07237278985057,39.30120864203196,40.465761325206635,44.505459066710806,44.440041044892965,44.13071933355343,44.058368440026484,46.50696749306865,47.69495124239995,53.94320669308554,51.643897087134185,50.6345656330589,54.94007215227712,55.771185033406475,58.05340577616189,58.926380336290784,62.69119531518936,60.47473413863932,58.11154775525321,63.12422095456565,64.33462187376901,64.25674778425713,64.54543266637937,58.906874126878485,62.03266382774477,63.74897420887101,59.615962184711975,58.13028490541832,62.51742089151469,62.99149437725237,58.86095988094047,58.439341175531766,55.53977612168858,57.02069239159567,55.886682963004006,52.23463272061691,48.36364683781405,44.73218244183067,41.81158528871283,38.051873657071674,37.439413225133556,37.933747657796964,39.72138647556696,44.4820330258974,43.624247799419116,48.92598682385683,50.031949079238174,51.55744774562601,52.26218721446683,55.00299838062188,53.26040741146448,54.60657971633482,52.07757799394765,54.34785427804824,52.37537001964526,49.28657245905249,50.23492110147921,49.19852268349425,48.391436866011745,48.83478791771419,45.8267903485314,46.654291888560365,42.7424162665362,40.32167055821265,36.54338751445833,34.459992692890914,31.320628678240954,34.87154374845511,33.07209850362491,33.28386533730837,38.120197522018586,38.59664304814135,42.18391387197938,41.782030700979746,46.92373830287876,43.247735885114174,46.07756381996296,46.83669414654873,43.04526621656285,41.319497857724954,37.177420215343645,37.688268872510214,33.2639565028234,35.221036901456,33.5001011485616,35.222919168031076,37.14319290386232,39.075097367771356,40.81819183518583,37.89352501339299,35.191940007828606,32.49374252067034,32.939430561911976,31.648050560462814,29.921277573777104,34.56325573833809,33.22625164425822,37.61310378622837,40.29292722601505,44.19401950696453,45.39753219523388,49.065301848168545,50.5850308611585,49.88229620435377,47.34926126322894,43.29471357147584,42.38055420604286,40.82003402702923,39.32841267432214,41.122108508986884,43.08353620638509,47.2017375038871,44.073314431030504,42.41967612417298,45.08861912011509,42.04702035291022,39.72958246299853,37.5723637506319,37.43620838691682,33.2541657544456,34.13342896884327,30.29852155822261,33.23790499412386,28.56163260695826,29.659768402316807,33.41356783744176,33.51242645076914,36.19507702131659,37.46365295556786,39.83890847168604,41.94579962497952,43.40337992928949,43.713352887267135,47.71293678696315,49.826564179880755,48.89253168523618,51.21723529114448,53.56905617672825,51.038473960709844,47.481975506164986,47.292085372092345,44.99426274492644,47.498907665032036,47.37732651635422,46.962066212196035,46.53771976051968,43.737087860826435,48.45805156837419,49.93225153487042,51.05857698810822,51.19119417679556,47.42583662664971,52.74550649173326,55.765527346052096,53.41460356156679,55.990513598515605,54.38546148481934,59.496005297993015,57.11746494098002,59.50328712023521,59.63977028537544,56.98438161783753,56.50330496712631,54.35988664864953,54.47154836382528,54.65613565237549,49.874274656937914,50.38145349966839,47.461385652691305,44.83127103311424,46.66694554970862,43.67749854313403,40.88306454975106,42.4589865745651,43.108477155062005,38.40160613135235,37.74813874713176,40.291717150485745,39.14171212980534,34.154190508286014,35.51426013652785,36.54256370069191,32.397561492439635,31.05602798233161,34.44735307534125,36.69384343435709,39.20795128064888,43.27278647228413,42.996214027206385,44.53179122735839,49.78626673897234,51.01769822124774,54.72364762559775,55.19929761555212,54.275025745659676,56.4609622670435,54.13246033154728,58.92369240189392,58.27483714168641,52.88642630241025,55.606884519279475,59.73309155408572,56.2154498283693,54.18053357694041,57.7290018408528,58.48873944239165,54.389495426512994,53.84739570805754,49.753544146103295,50.72404896751177,52.90958988382346,50.57997477747836,51.30863039698567,52.04985754821133,49.2923023734985,47.22354537941481,47.31624559736202,45.96713013154802,42.4876205245359,42.12879746314611,41.520363012527945,38.49658140915897,37.36067207891124,41.13395177001934,39.17299100171715,34.640474380299594,37.91951544034192,41.41269489016044,42.51643504060798,45.81714668874933,46.050814980067074,50.287353878424874,48.36909531007797,44.286985151818875,48.790611940212514,50.360229748852944,47.34966627869362,47.565146685476854,53.277558489970396,52.02330901595065,47.80636022349316,51.02216164057134,55.23773845574455,53.0080009936865,49.824501967853635,45.18669507632875,48.99872575859012,44.77712210332186,43.974911941029184,39.27218368175831,38.94165805205686,34.031673790616885,35.14765340759224,37.85119318371127,41.45572994091705,42.45837122255958,42.91957984429085,39.2139729300631,41.83949023887358,37.63622251256064,35.02881223412298,37.08130243828356,37.61995312616034,35.73475034724285,33.011412673663706,32.686402502875765,31.710681618400518,29.00316777705478,27.585549027692952,28.281378572410166,26.979955229774486,25.664025126002034,27.07121164729702,28.09235679559881],[27.69608045717517,29.561819694875112,32.40419507818334,29.69079773326226,34.060877698370696,28.83099302824168,29.49594345050849,30.330424907746966,26.294168332879817,27.68406422551949,26.717345303416742,28.489500070695733,31.77705492337322,28.44756570108217,30.98197970578307,34.0784374877283,34.95761730785132,37.86011811291925,40.328108484097484,43.910574655506224,46.6884830725183,51.18375822278812,51.405098118700735,51.74599603081002,49.3964810218756,44.99889644861878,44.38063361504905,40.40862274021787,39.78708810924197,38.88479914033,37.86008683205429,38.905868263408905,39.9366644600746,43.5887490823016,43.71168146567065,43.13289772936282,43.65363101041684,45.67574946645645,46.97499680902054,53.36327824903082,50.69792878632071,49.33094408868828,53.655358964223716,54.53300690888454,56.5143568071335,57.43364510699703,61.189668013267955,59.2093105509552,57.059196899553775,62.08841720724267,63.40735490248308,63.54727994602775,63.780330793023396,58.233261040278045,61.52220130231157,62.813957858131594,58.53875868217387,57.1346963743789,61.39797339903732,61.66783023576427,57.28671359636127,56.73434568512811,53.90435624074,54.94380561591176,53.9326350499803,50.57463833908176,46.23642657055711,42.855250413842285,39.53511820958475,35.91067091104853,34.976520064948765,35.00329069505043,37.16805136645261,41.927121092089074,41.6044153521729,46.81673464115824,48.315748264664855,50.029378441949305,50.99799575623373,53.86190545101916,52.59243058181074,54.12079986028057,52.0605678625865,54.415502465645964,52.22253450530442,48.994251320845976,49.454642073165836,48.69875559244548,47.26121464074818,47.768707187243145,44.39101654724337,44.86440293063561,41.109074822039545,39.082389523601606,35.44636620249163,33.16413334296227,30.17217376773829,34.45919854782567,33.17114875644776,34.1979034664696,38.541078539082555,39.79750540796691,42.84018576708328,43.03461150403028,48.12000752418058,44.66514251505696,47.886471003587566,48.645199607582555,45.03576834405404,43.24378079149073,38.99888414269882,38.83286619844466,34.222446425193965,35.60542796122143,33.23466717162289,34.636359238941104,36.116893860042765,37.768723641419186,38.89635402406691,36.26178275873364,33.484218752074135,31.1971713024404,31.8208459772449,31.1197634658133,30.06121032047348,34.972115486251795,34.55794803196633,38.74951421164269,41.75091998865336,45.54375453214939,46.87635150083491,50.72364048500288,51.799293380395206,51.11169337515228,48.26744459776829,44.028116031325695,43.32322712564721,41.18616228116313,39.22013894144403,40.79560363221461,42.14472731354816,46.04998273822933,42.83985961464141,41.595436080870485,44.287528383810475,41.41879737207528,39.28824342651559,37.519252113228,37.92390754278897,33.98725644770311,35.54468808171505,31.78404497459328,35.18927801067512,30.839884888589218,31.16335345850629,34.713895392088496,34.34203178731422,37.38124930562053,37.96441235108711,40.772266064414865,42.383586809617846,43.29791161354668,43.49966030122215,47.44896408911932,49.71882826219323,48.65928961294881,51.41377458713982,53.66483839374168,51.46149088275991,47.68763756912873,47.7327018558495,45.19493086019559,47.75736852559643,47.71064207295871,47.239818222743956,47.10940939880033,43.97721498728932,48.93945066684965,50.15566777854646,51.62036455654101,51.55481900586043,48.29724527021776,53.6068752129307,56.51097928798608,53.91413969873134,56.048233251396816,54.06236025837964,59.19172242243473,56.486349815853345,59.272771930388494,59.578264492145,57.15522351123824,57.00817121721285,55.139733859077296,55.55704690973179,56.04767472238825,51.330078998893505,52.22957408703027,49.58982084394283,47.044937537122074,49.34758969856062,46.4667226876867,43.40772095427235,45.194581701197045,46.25366255239088,41.49933823861504,40.54469384251037,43.52917961102208,42.77554361160451,37.536942715905205,38.95958467232583,40.384468839897494,36.27949436465846,34.648085323299384,38.287886160396454,40.23680382704768,43.17686432699071,46.61974620712022,46.45275947087033,48.324439845104344,53.514968695520615,55.071132652972615,58.539213532350125,59.044984290894725,57.87199305857648,59.975023785318484,57.416550394930084,62.115725642469066,61.57221968860639,55.9467348572274,58.49207761057969,62.604423249463395,59.032214239832484,56.78044653284226,60.132816286585786,60.94526795346368,56.829081754489984,55.87196527779081,52.155769467384765,53.025222568302794,55.485486116516434,53.54046508621258,54.25837585768791,55.3654869994163,52.31363655837419,50.16074226956938,50.76513796876388,49.402258117436254,45.64381850247266,45.53654859566112,45.291335666448504,42.276649802581034,41.07195794669248,45.14138418127885,43.39973941240811,38.83984267939709,42.099705690986006,45.735847374156236,46.59691413384658,49.800396791911425,49.725098294424726,53.98136570048339,52.25840880708035,47.860802136101725,52.18315654171355,53.882191672049196,50.82303574973072,50.6357047522889,56.4803754276536,55.28716183383547,50.777942402457654,53.76008651700332,58.17013957334471,55.93895298662238,52.5492640412392,47.81600988253346,51.58755970296414,47.219372260409415,46.92830779642442,42.001278511390396,41.84995165307811,36.90235507488398,37.6339956462084,40.163042104196386,43.64252274918449,44.53265042494743,45.344789510938064,41.34455654341317,43.913676052251816,39.411701608518776,37.447582383575394,39.62328318906387,40.60956662353738,38.516866879085484,35.55925866465996,35.84259929106846,35.1029598866514,31.698426711841933,30.529125499389334,31.995352669394723,30.733006784012964,29.057259872668023,30.3246507176351,31.17939195322137],[27.38926478425682,29.463368988504477,32.14079357232439,30.30718278044966,34.26296523230244,28.319867558233838,28.892089915120334,28.842526316323912,24.968376792513244,26.845701636030935,25.413614373274402,26.33737125888741,30.481497516221634,27.784880968636987,29.677625226378147,32.60987131599531,34.27193215129608,37.208505673060294,40.332632887781955,43.53251707723574,46.59765751894486,50.96348326411511,51.567487824050374,52.250048173418,49.71721188259397,45.375312196429874,44.42456428161122,40.29953127542251,39.05818309205475,37.549489270959526,36.27471801497029,36.80519014625153,37.40075936352998,41.28876063983474,41.73135861192742,41.73062165426881,41.983952547080534,44.783141493970895,46.360719791515336,52.591280298411405,50.59339227492689,49.06006977332469,53.25137246272083,54.50800196496421,56.80461125689152,58.043501940796865,61.64026590494066,59.25981596660696,57.363632757197045,62.446040250733,63.310481420942494,63.28997293486897,63.239087452596124,57.66465177277333,60.4966216336535,61.98042648638323,57.910039358971034,56.04103580595056,60.3029244646277,61.08408642206957,56.73859084791816,55.86452234234631,52.754450485051244,54.21788474843205,53.4679961690297,49.839245481233775,45.87197244229255,42.1548410830566,39.38377017107675,35.381689810487515,34.97650645764846,35.13898310318462,36.63327374033115,41.50337857662861,40.563942288924956,45.49355477772726,47.059099285983564,48.26558626104811,49.3624000017403,52.4284459464618,50.87342295720704,52.69656513543911,50.273484242494504,52.9656504498805,51.18459391403777,47.70383796272469,48.28923422920711,46.912256074669436,45.89796243904702,45.756616925808785,42.66905304433965,43.03772434057378,39.14867706908116,36.78506926388326,33.39845823179518,30.89211831870611,28.24468539260114,31.89795133771148,30.535717789511615,30.859159086996726,35.82083826438568,37.01353557137211,40.51109178747414,40.83413649457539,46.301353637014735,43.09659369393735,46.180793820383585,47.39549541893083,43.94784552316442,41.74022547332752,37.854105167578915,37.876573108799214,33.35030376909356,35.28700050762589,32.950360007573195,34.956867092266876,36.32997642391502,38.610700723608794,39.59312555727594,36.356845931435295,33.96420462232347,31.505019813760796,32.76739192923335,31.69471755209655,30.243579888163843,35.202384206371356,34.15413288920204,38.41417854060029,41.23419524596541,44.68615619667035,46.55587089955296,50.06203325677806,51.423340877851196,50.22805654370297,48.01139196216308,43.83192628538229,43.66904538898273,41.7018885944232,40.10397894925197,41.377811973897494,43.3347664213763,46.99959150216166,43.52908850008153,42.01293502904053,44.335209530054875,41.01775356828463,39.04230561030511,36.70742524726357,36.821976710752566,32.66894308053395,33.73616457528801,29.47481917960999,32.233271739192006,27.364878769092513,27.777621344650672,31.70768173308494,31.951223218397395,35.124424047650464,36.06737367523242,39.19596583615576,41.545248385386714,42.39489605647546,43.35524017492191,47.04393583760827,49.72290458593259,49.30018137435544,51.762489991883456,54.41479957261256,52.21101421534341,48.51287265847237,48.15023962008017,45.480718773610995,47.50293618970467,47.01207351875847,46.1622612722837,45.53197496275041,42.310832799008494,46.907083718512816,48.691173970697086,50.058472760204666,50.64073737302454,47.137134488401635,52.68010332535562,55.80603841088812,53.4370092315439,55.526997334279926,53.60405176592918,58.819547601921194,56.6979242286717,59.37278329105524,59.86238047864976,57.17849647945916,57.12800390143576,55.18312375909732,55.47136723667403,56.000260664430385,51.36688861936656,51.94734681569133,49.37675956219319,46.38971903277542,48.56678170953336,45.273066839491484,42.549467309559795,44.73356808829475,45.3338415037306,40.52408213576169,40.42949082784763,43.097172209966956,41.61894328656299,36.924128854003015,38.72141217060201,39.7423677166324,35.37624417524982,34.587251539862216,38.23957320972732,40.4156738230056,42.90006107360125,47.071901180668625,46.40325042471315,47.92892214210149,53.0680366053042,54.34265128671038,57.88810026177754,57.94967543714816,56.780189015529345,58.64384561512377,55.97387808557295,60.817323011776274,60.583206760604924,55.127011014229254,57.4890568370256,61.89369519610687,58.63247689961595,56.31660622616495,59.65134663559893,60.913972649444865,56.937146495070074,55.83825289066491,51.913749149993,52.21729205509045,54.4370256293214,52.23041271436111,52.52120321694919,53.259606495324746,50.1186552159375,48.45604182745625,48.81775957551405,47.00431716868714,43.552815088507494,43.810554352296315,43.09975353904817,39.968261422281984,39.34116679162371,43.27531384069451,41.19506161559722,36.88444218448865,40.59969093461489,44.06189558207361,45.268885988474985,48.25851720145442,48.18160414644915,52.54736159987249,51.095256636070125,46.97277147211665,51.21147565413209,53.19296053767687,50.36689162760122,50.27665014942168,56.07204367291139,55.26894580332365,50.97524243932597,53.85251386030274,58.32973401611487,56.44740199789631,53.21732818230078,48.6254663044685,52.74621362949902,48.63780646388424,47.95799972447833,43.096895093479894,42.35530056667691,37.32004411000439,38.770577227462276,41.18447083379021,44.86539725682748,45.4613309013249,45.689981108320154,41.515404327720866,43.68389985549534,39.210892068741686,36.94437441274619,38.32955151962297,38.99883491569258,36.5069036977093,34.2365640427448,34.54603570838662,33.10571812345714,29.878763632357508,29.50116663959252,30.394824800881143,28.43156222169742,26.644308752942546,27.5072916515139,28.1240198963311],[33.03137285326505,34.80814327177588,37.2721471127491,34.73736015491147,38.32708217304613,32.52014471501831,32.43178953189038,32.31514999507216,27.966997438635982,28.922766759776398,26.961993957833005,28.138503170003574,31.98651122372115,28.80713363329916,30.04613667320304,33.23766993889186,34.93891056138817,37.18429607504024,39.883504435818175,43.39442107775453,46.04537935849308,50.52939845744426,50.88798105007818,51.74683776196034,49.59476260650048,45.213097337057306,44.78487754469262,40.887778057263894,39.5831562735835,38.41440773493651,36.095413325094874,37.52680472159987,37.6590703926107,41.0448437629473,41.95991906141209,41.88992414677716,42.84121882342185,45.4025567802427,47.24419964677279,53.52716884369106,51.35430880903478,49.270783974106145,53.384622042556664,54.87178655650627,56.874965623628306,58.30625776561432,61.79558227698703,59.58282329745194,58.097254299267306,63.18674740613405,64.00030700652431,64.20154233600917,63.950951983732416,58.52372046566409,61.34520261403955,62.32915123912727,58.18804409839755,56.216011007801846,60.268310580259346,61.01202005390861,56.3538142167686,55.11712018632046,51.97916862547785,52.99444072595712,52.58606423467089,49.28885534195948,44.85212776755552,41.37816150505126,38.32897923385888,34.38711958649616,33.78012651802133,33.2397909406435,34.93180892007015,39.804526080622395,39.37640798786413,43.9204869392623,46.150367503270594,47.3278756364603,48.90362244283197,52.24236771802759,51.23021618996888,53.44696832913946,51.50031414459016,54.44097750928433,52.577612260275785,48.831181798064286,48.80407662760413,47.51262363951209,45.83208888791061,45.408961557355575,41.96307737053519,41.682444054064604,38.00965462175617,36.0991094314136,33.168621282772015,30.246236916302617,28.135797482468885,32.428901101568684,31.79468119198975,32.82341954734838,37.354338296913866,39.49720638193601,42.47306257117618,43.58617079794581,49.082116969842296,46.26628636299103,49.7051974288263,51.06889550477293,47.89344043760076,45.50266525056239,41.667878762129824,41.02344826655034,36.388478558391576,37.82845913992814,34.76997390851341,36.567764791828054,37.30943612106572,39.43572374928162,39.498099058147226,36.45089973037268,34.17723677881541,32.26501609385878,33.98528994529237,33.53377462732346,32.76613525043642,37.95052650299055,37.72554292740241,41.74378712064303,44.821355347124126,48.015814074628324,50.17720202312406,53.74619160884802,54.70767583053617,53.36814823081998,51.0311355929695,46.70135015732651,46.933358673585744,44.403231507717365,42.39607264085781,43.299577418749244,44.68961577867939,47.9533268287232,44.318074821869835,43.247911562427035,45.42299477217414,42.1865092011308,40.546910593764984,38.51027045840816,39.17082636716468,35.30076945039364,36.941241344292386,32.65946623251669,35.616143927424226,31.000827047850898,30.55032045829563,34.31473746957382,34.26224389087112,37.864100567969714,38.10869264944794,41.85135542193797,43.868541001992725,44.006408396319586,45.1269255586453,48.60677917442412,51.613521299621546,51.26742713325623,54.122511118869504,56.76644266411746,54.95297782801969,51.05962584414261,50.84317655627437,47.88035347086392,49.763290349536895,49.2006845309615,48.13833303836289,47.66729743760882,44.02750394751933,48.70456380384981,50.40277228904274,52.14045977299235,52.746120162059704,49.789854879156955,55.36180082138198,58.41103572388832,55.852898049212186,57.371716941366756,55.007539103746886,60.24434587979318,57.95258792065763,61.071163508179495,61.83247842796774,59.35538660818814,59.73333178722987,58.091180242698144,58.67813293293391,59.54723218599843,55.033494058647335,55.929442196235584,53.671014591166326,50.66883605344578,53.25219111072953,49.969347728604426,47.101348616446145,49.56403010784691,50.42312059716986,45.58207455840992,45.402089286502154,48.37362980574868,47.08206846620742,42.3062605409164,44.203190668257214,45.45837899366995,41.09182339836877,40.2005065618678,44.01959985234282,46.01365956909132,48.74482683533221,52.55278921303677,51.908091266294065,53.63578495029776,58.714343755506384,60.18287530796375,63.56134030036071,63.55762880355008,62.18579237713805,63.91305683732231,61.013258442524744,65.79723660173555,65.74378421351709,60.129255112627774,62.27334190002639,66.73001043764448,63.503411641367094,60.97511404499423,64.10392329161168,65.52742089188364,61.57632420332993,60.046593941041536,56.45428073189724,56.508546851854085,58.92054790287647,57.02035807724997,57.171209255778116,58.136729437698506,54.70027219984319,53.12560907078704,53.88984528277108,51.93182204664265,48.34357214257628,48.9365452785815,48.41357096466062,45.27563013402726,44.74864764336342,48.86905728672951,46.87996582552549,42.628055240583926,46.41210161788743,49.93157179315033,51.03204322140577,53.89421318670119,53.56578463907117,57.96119735574705,56.734477199023324,52.42645226180648,56.48373663146508,58.63093946147326,55.814883383057975,55.406161404068754,61.29271197431226,60.61566988496549,56.121331855233926,58.77078345370113,63.42271193094469,61.60006221885619,58.2243822222003,53.57917493673925,57.70066094819036,53.503901056459505,53.193972272638284,48.169862833488885,47.5095691026932,42.44548864909711,43.66543467964564,45.917131233632446,49.505539293218014,49.95878531960876,50.40054021340735,45.94256946903816,47.953421342684315,43.22907495153799,41.52379673077215,42.814738800806715,43.811570375280034,41.03150817237244,38.76067836491154,39.62136125891699,38.22654528122772,34.46428851231406,34.49901768773931,35.89134732815822,33.82526977344462,31.743976088689383,32.35054823366853,32.72212700546865],[31.819277835920264,33.4910385050514,35.668616179400274,33.48933358553929,36.60020583172529,30.458879204156432,30.12643526395677,29.443163074512423,25.18677353029516,26.288636659677064,24.017223468385726,24.669199478047094,28.95205629775929,26.22045359250503,27.012610580460027,30.055613971992745,32.239607931255414,34.51176328263826,37.667700456776025,40.86043437064087,43.72872973161315,48.08584414854017,48.73244083132415,49.80468294452249,47.49563546918863,43.18588128579425,42.4926264988074,38.51419576537598,36.81018584873719,35.262457433682435,32.851387595490905,33.93256002697314,33.84383878797941,37.3767482082225,38.424430834874215,38.69467992293668,39.456776301040094,42.478045943567125,44.480048975474624,50.62635124908227,48.90267515494239,46.744039927856534,50.75422370028381,52.47081336288487,54.69965588440735,56.33552433230029,59.70571074240833,57.21466571085138,55.89037849514359,60.99608489450899,61.499415692870144,61.586764880373075,61.159577121742494,55.730464478775644,58.25826283107215,59.37841205741798,55.3850543562468,53.14021976631232,57.19460759165859,58.25542194535695,53.66538477561701,52.27814709041487,48.98490699109033,50.3274728872958,50.03041613587886,46.530582112949254,42.42307875649941,38.71531531267259,36.09760409263427,31.926789755915433,31.724557299927042,31.420531883013822,32.58370292615624,37.48998582203026,36.56913547382686,40.989868237808714,43.13266180599277,44.017724800562966,45.59442918787899,49.0092639639703,47.795619145324316,50.15533933790444,48.00563807659081,51.12925728815619,49.51850811991187,45.63544765857508,45.69518021867366,44.043681331674485,42.655056220945895,41.89065331971363,38.66198525294852,38.42799983536657,34.655495241986415,32.50065669566495,29.676863262594523,26.68623862764425,24.753805144098457,28.621049746614418,27.964539441597733,28.698038204024577,33.44969254016573,35.637252970575304,38.76472581042871,40.0288155832213,45.696780532033536,43.10657166561804,46.51271366668597,48.161967742238026,45.177017001061174,42.515391613610404,38.94587767689608,38.27800293680138,33.736390461134086,35.43999153635973,32.37527636042633,34.55232814465111,35.192489350385536,37.745780496236556,37.745487580337645,34.28823765797995,32.31231694998815,30.289082460712994,32.446408816544036,31.7596090502604,30.797344250026768,35.96272226171076,35.46589042424247,39.42422856105083,42.404337097928874,45.29793351437228,47.84785284175208,51.18341702622004,52.24020220355279,50.560219986974964,48.62245235824818,44.3445263952187,45.01233024056218,42.53456718321972,40.7646715997889,41.41018776648126,43.205748601804785,46.26187885176499,42.46932965261971,41.21359166536444,43.11135490753062,39.599951000424625,38.0889691116146,35.71770712150192,36.237526523264656,32.32010563100596,33.74797941513527,29.247018487892618,31.883783532196823,27.182260989426293,26.555155139926047,30.414540051904815,30.630358268611438,34.326728612336645,34.679885938068864,38.6431002022381,41.05037929881142,41.0932315347932,42.70718056256341,45.97762644169848,49.252633657787506,49.35798087050122,52.01997349400574,54.93274346452348,53.17565642195756,49.337581126746954,48.84915592932913,45.782589203322395,47.269891246916025,46.41623016335543,45.10773484169251,44.35442546166162,40.65761811373632,45.10693182572498,47.111424928034346,48.806306014389094,49.79691738377646,46.764543074478205,52.448107220587694,55.61035067185865,53.19012119851652,54.629461963769586,52.301263173124084,57.5715367319508,55.67928420054096,58.7168811398048,59.61454716466956,56.984540567894086,57.468183059766346,55.822221289239096,56.36654419283506,57.32226423850918,52.91921212254781,53.67232483440921,51.56837193362277,48.295139869063554,50.92067801254517,47.416684207575926,44.7245992474946,47.52901148601615,48.205461426889535,43.36283297202181,43.70862635658016,46.590463098737374,44.96287567504485,40.535551429865286,42.730187470816844,43.866762354894036,39.38537123156087,39.01151116870552,42.937788466120764,44.920773743640595,47.49783422690229,51.52260924309341,50.50882289927518,52.12690937944349,57.08310640124833,58.51996267338557,61.78193730703283,61.44701774798054,59.95170201843547,61.451158233985126,58.387703893290016,63.200265035716285,63.41666340092663,57.86178930749506,59.785446136315535,64.42175318878027,61.4291305846189,58.785878516331955,61.81258275059327,63.58890515499156,59.76702815598678,57.99774502265949,54.396978881414,53.999014449488705,56.31161369065462,54.38426383011732,54.240477230751324,55.10659907570547,51.525199049758534,50.24757234029625,51.0574100453825,48.828412520668785,45.351686659670506,46.28485241882029,45.63941524337645,42.47443965469666,42.29637068437236,46.43182713912455,44.37791451613011,40.33520366710263,44.36688608136017,47.814176331077945,48.994310743335156,51.612999833785075,51.11742658629042,55.56041212516326,54.64927801027253,50.415448603049846,54.281528152341,56.69083019350558,54.05601004519986,53.53231663576858,59.3950099553577,59.0701420649297,54.64640012811617,57.08638933169846,61.84676809333058,60.33354992524821,57.022916545630665,52.49360348807037,56.881258899155306,52.88791712466522,52.470520199401776,47.434946920434285,46.34631720396457,41.25435693929277,42.9047732510935,44.95626566982395,48.63318131902367,48.78538466544485,48.86905477630776,44.218226702455205,45.87949024543746,41.14772440389658,39.448284739753454,40.195958323077384,41.127990399673145,38.04994403702032,36.19297031261885,37.293826089255305,35.55706257315481,31.708723835508692,32.383909330985006,33.69576940698039,31.245446109394198,28.982132120928558,29.267028260083933,29.43457786441879],[36.030254205318286,37.669954189814426,39.66861452367666,37.642819564544595,40.37095601653391,34.10471977940232,33.442825515747515,32.278734577019705,28.060979919032143,28.893823071711097,26.16465700831484,26.369267747435547,30.82874204733298,28.33436409963278,28.259619594592127,31.22062080209673,33.86986973997125,35.65603086584503,38.88062662648602,41.94486265282971,44.67686854196321,48.94689815291323,49.67478913852263,51.053206571522885,48.90241043818617,44.68283117335709,44.11629926538947,40.27065061217003,38.18260789916353,36.49021659923578,33.28823265706097,34.5668114082249,33.82614667346263,37.093019247102816,38.68934406749046,39.32608887640351,40.33725862118887,43.66583846531151,45.9697755157362,51.94311131921564,50.559635983965606,47.998341430718355,51.810322382588474,53.883465842947366,56.099758884684164,58.02551821622826,61.196288482903505,58.58931921087208,57.68221986957934,62.76808967216269,62.959273573638285,63.07748402946917,62.35364416670638,57.05874150482834,59.25269836474495,60.17692824992468,56.3202872944555,53.732190861841275,57.600035873983806,58.96496753372189,54.25812608204596,52.43398553130072,48.97220695689891,50.29124626220346,50.40861425458233,46.99770723144755,42.911878500101885,39.21714541833459,36.862681971068746,32.60473757900897,32.63842554557722,31.96779981573523,32.74921460569101,37.593080328706876,36.60064019454064,40.43333327774797,43.05128044421656,43.52145243474994,45.499408404011675,49.18888964852631,48.15076006785164,50.93295802361493,48.87073818606398,52.32626723947957,50.95881064760791,46.81440053215532,46.572647721656885,44.57757480805429,43.076807531113374,41.658802564539364,38.468322978587864,37.690185714488386,34.06045115683985,32.0278424314814,29.837468122906458,26.479962047949055,25.327553545973508,28.963072854141014,28.786602187116408,29.42532723705758,34.18288831851008,36.86793628916398,39.904907449624574,41.70424268562864,47.51903592426558,45.353170901845765,48.805679156957375,50.77978712632504,48.074080977414205,45.129101742854814,41.865959780230725,40.97935759724686,36.54889692632305,38.25127915528992,34.910623090159,37.24155986641627,37.45525763937805,40.204908424071604,39.59541435301744,35.99002519997247,34.37792575530914,32.642143503771145,35.31561416061926,34.783198393156205,33.996853241925194,39.15330794361418,38.74527529235714,42.533152508101445,45.48588964183515,48.008860425840744,50.96412873815065,54.099136880292725,55.09697817825999,53.07405784228728,51.45765142259374,47.20165121450512,48.342235476363484,45.71289658655541,43.95501730617278,44.243647030595206,46.02451121300153,48.683764936206536,44.72149724213025,43.58912692689701,45.15305427543471,41.4958795332153,40.30756985033934,37.83303665587868,38.4733953188515,34.703667291268204,36.10214583346037,31.441061503869392,33.659658807883325,28.94329567176104,27.881407469374253,31.741728373138134,32.19932031502279,36.11345484891402,36.27775849288444,40.69718706249306,43.311690569122156,42.90617051278388,45.032782992069,47.97035711343146,51.61793867071329,52.1176591779507,54.79486515568347,57.88539047321775,56.348393520139204,52.49537375967896,51.87618682557025,48.63271145083304,49.72133187599755,48.58196327825954,46.943508362013674,45.98061625851202,42.05151159804873,46.21168236788339,48.50707574946199,50.33224885150958,51.72941741037535,48.90624311841786,54.660200403160516,57.87200021960954,55.51166221481613,56.584190540493225,54.069670777894885,59.33707490457829,57.71956319789491,60.91010895208686,62.05684243068653,59.41996351046632,60.185101974011225,58.67417888792489,59.296724599308575,60.43651861872303,56.18313448495351,56.91250921667468,55.01602671575467,51.5439891266412,54.25675505419564,50.580388952648654,48.04361518311222,51.13649206131391,51.67870852288391,46.86339751886252,47.5921700079158,50.40466469144188,48.507696421929396,44.385070867943384,46.755147319102285,47.767859185143436,43.227650625335905,43.19940526443975,47.12842264962124,49.13746779846904,51.561939332962055,55.76476782054512,54.54533534476259,56.054511907288344,60.92468518412718,62.27440671371567,65.49406904631122,64.90401651723741,63.34217978821509,64.63780426723771,61.43755569183819,66.26000869552024,66.73033495875305,61.24564617039194,62.952140778143985,67.73548177745003,64.94857144960729,62.19706269421329,65.09199155316507,67.16896709191032,63.45800016765778,61.432808237282664,57.91239028737616,57.09885126758914,59.345030019627366,57.4369341428458,56.98048080042315,57.72564516813578,53.99021989454284,53.06850982247509,53.91389735653803,51.37750726351749,48.07817458160343,49.362074392482036,48.53953080005204,45.359512619039826,45.555839277438324,49.62159619266048,47.44066759519668,43.63201970989494,47.86515241258011,51.18870298182363,52.505381529161724,54.931570045677475,54.34087912881404,58.807244971859895,58.142357108366966,54.026501283544874,57.734668985616736,60.33646669750071,57.846584705400005,57.25078557012548,63.07576365088959,62.99767279736592,58.63225563564583,60.91087699181763,65.7415303161435,64.42860711297433,61.15581139146155,56.6997690250754,61.210523281991016,57.31459088508024,56.8684359282184,51.83904418537317,50.5449994359564,45.45918988110893,47.301867527751455,49.233315506768584,52.92689925664684,52.89732820906717,52.80197521912077,48.005950803385936,49.37858389279977,44.620567595768804,43.050268453838626,43.330758524211966,44.22028728406794,40.847229624834824,39.418497749151555,40.74722947600894,38.69467324058626,34.818281710724136,36.05619060201881,37.240776616402954,34.45203917989776,32.08398204760644,32.003772693289974,31.908251116628687],[34.49506570317418,35.7859949609268,37.52475013105361,35.08221070768605,37.460007953338945,31.344797980524667,30.3158073223121,29.203521166934767,24.804293814468693,25.223410406572608,22.393224550497518,22.834244011314286,27.014102032041723,24.363210408755787,24.238482836217543,27.275836108368004,29.811964273517404,31.53199402037239,34.70132851340256,37.803424593413325,40.51922931369985,44.810142296895634,45.517243986682004,46.875510412922395,44.72386287068083,40.500708645201435,39.970181295066176,36.156832795706194,34.114617974461716,32.56493294396444,29.340864506016437,30.844333719220646,30.27021309446893,33.471306269855695,34.9280035491073,35.37520477860135,36.51476567224968,39.644201539254574,41.936109253746245,47.94788998881013,46.45882620480277,43.86856239724098,47.70138700824402,49.7449155261166,51.928590953932364,53.8535041262811,57.02384587810576,54.44546412959897,53.55425937117614,58.63803591934943,58.857048290059126,59.01506488264797,58.31610910338962,53.030343841761095,55.32176023316606,56.17503775862659,52.26379746488616,49.76692578111024,53.65345817535592,54.908699006642905,50.18775930182708,48.45278973751965,45.05316627548239,46.32712282476222,46.3437905960014,42.94241921501796,38.81258278510865,35.12874458251729,32.71418499166745,28.464760664040163,28.47706017753323,27.89807348634246,28.704126455523785,33.56980256756548,32.60903410610609,36.637732969472374,39.13761449321421,39.797732599874344,41.68349447445766,45.30827916985398,44.35333862414692,47.070470062265485,45.16206720640218,48.55897812100511,47.07598118439378,42.9421047997635,42.610369032295075,40.795013064995935,39.13648317282952,37.954598866837884,34.650365855297636,34.014481694008005,30.354272241883287,28.384446810026848,26.013997998983633,22.72417395617118,21.399269728142762,25.37213955568507,25.315115283557084,26.48822281822231,30.836304429261933,33.78907836240645,36.49567171040386,38.47137710725907,44.16972119683217,42.08164727764606,45.71182294643219,47.644360591682855,45.05976998418035,42.1098274492181,38.82625700838975,37.60723952083214,33.157349431819725,34.6216675442549,31.076814489879503,33.34583332560425,33.41061977933123,36.15788717464514,35.4351818711985,31.83067175003479,30.253859645081665,28.601448265379435,31.41409565486388,31.0076863820423,30.432267168912393,35.60607014830849,35.55582301897311,39.187390883015695,42.24565262190871,44.66649687548748,47.69643572446061,50.87099537502627,51.659984212401895,49.63967838740385,47.92113024658844,43.62664748582369,44.93146532321204,42.10175417235859,40.24976435784979,40.39108996775095,42.07986412755292,44.61969100532525,40.63037006930971,39.566743954877744,41.09606069163673,37.4834810875946,36.357509284542445,34.006214366801956,34.83910213058925,31.218820907453885,32.93573263609156,28.432333241343322,30.99756772223801,26.708323143034324,25.21211596442753,28.802082224112933,28.891245279746627,32.897649316104776,32.730310964042594,37.2480669454201,39.61675369018998,39.03645178382162,41.123628669099396,44.0241375697188,47.71171104120877,48.23537215757369,51.00401815978996,54.095450504614035,52.69876990604267,48.804127168942586,48.21291229609239,44.882826252291515,45.932916341872826,44.81692717202397,43.1843908648312,42.373978484395764,38.36818864554879,42.67208331927142,44.77750241076147,46.71186458506636,47.97059438343771,45.35245464446071,51.06517488220959,54.214546684972305,51.772906755928425,52.70267737994553,50.09548919596916,55.356923244154395,53.66486684862876,56.939258934706615,58.138400628448814,55.56892640798362,56.455549186068595,55.05664915665739,55.797346407598006,57.081412688693554,52.902980816370516,53.79851454367255,52.092568759067134,48.652030106710235,51.627660066768904,48.031458155586876,45.365893293659205,48.61445344218967,49.3921724447625,44.587319880005126,45.22079922145899,48.273601874928296,46.62279945829343,42.4128990357021,44.88224015805808,46.15260169611828,41.656175450463536,41.55377808475707,45.67700890882413,47.44701140607324,50.13305344083407,53.92260152156139,52.65043038178518,54.37609013529307,59.13794028510976,60.75850579742253,63.72609239937712,63.10068804060789,61.32203571516117,62.52730652385404,59.16041541346474,63.89120514678179,64.45332833740792,58.83163043532762,60.38853150653918,65.157721436616,62.38362959780751,59.48894825330545,62.23791415286012,64.39982362077721,60.72653928731789,58.423918153334654,55.13360367642181,54.203335800460756,56.59403480918684,54.94949285967947,54.500722407669926,55.53200308891754,51.62530635783296,50.60348583323451,51.827577820353405,49.352542521222816,45.83471675716182,47.268476677755864,46.77649943220552,43.64583228152579,43.744470424149654,48.037296843908976,46.10467551582928,42.28945466277788,46.46753591706015,49.907273680407364,50.98273260086128,53.284934150107134,52.421079904244905,56.87638352790498,56.40970640260801,52.06925725152515,55.587520801732396,58.316611249095395,55.84274748797624,54.93679844452192,60.81648328505516,60.87603490251549,56.355654438847814,58.40856904327548,63.37193542476212,62.16864085925087,58.80474478220607,54.3616633252595,58.93626595861605,55.07150211740746,54.890732180688204,49.747302519624384,48.391388562858666,43.317807806094436,45.09631956969044,46.82148171453767,50.4510440537649,50.23525435727786,50.21053533695746,45.23509864591441,46.47788651636919,41.60976032773818,40.414543448209365,40.697324231717396,41.871241260432214,38.41879995559334,36.84743762516843,38.57550982386534,36.72831579001697,32.42763009065306,33.8474131790426,35.55165457512268,32.86911028798872,30.292766662338483,30.179682034528017,30.04855568355283],[33.924586765716455,34.90496663240761,36.5066631671677,33.44440695768579,35.67902066346759,29.896877166482085,28.58807507674888,27.84332526702775,23.194621946555994,23.042362782409523,20.2779386388075,21.33673735188435,24.90327798489169,21.775382922611712,21.870145328823938,25.092591060319805,27.19803981614914,28.809226193157752,31.637725021148608,34.98498078765458,37.54769665531127,41.94259926188802,42.45719837309934,43.68832986027321,41.63388885177086,37.35593037787518,37.03109782340176,33.29865939114526,31.534539288716804,30.38059131066193,27.17277387977398,29.157705163648643,28.899361455182863,31.903702480207418,33.13232022727583,33.16576085653638,34.57225872440821,37.20783800560486,39.40491046599595,45.53522480172413,43.682543151741946,41.078437121230095,44.9914363441813,46.88953651200259,48.9094168072396,50.73618584541174,53.969267525651354,51.57031940553311,50.62486092318953,55.70145293305941,56.10986438223574,56.378291446688785,55.79103164345535,50.52219284862294,53.070694861809315,53.75894601111708,49.71330085382732,47.45698794564487,51.34804922494478,52.31918534467008,47.5300890332243,45.961084484821185,42.71335304526123,43.74249628774362,43.60140021189998,40.33475572702396,35.950606183619726,32.420462790198115,29.66512855898326,25.55528471416824,25.284443860226602,24.637635484870497,25.811568728058788,30.69229308221398,30.08296730482113,34.38376731167546,36.82336479052004,37.856643276218854,39.65209176425594,43.16655977348999,42.43271189663197,45.0073643744267,43.39170505316519,46.62747722065837,44.88371892451006,40.83250235870454,40.33718417903019,38.92490686531963,36.91345175270615,36.18171787056517,32.62756843195262,32.10322965675392,28.499084083844295,26.78017766482996,24.164871805784536,21.028483698986573,19.389033341381754,24.00835918771781,24.102097459265952,26.022114104230575,29.757860911911106,32.954872226428385,35.207114450737905,37.289235307201906,42.75819562884022,40.64195179635691,44.47506202149057,46.21733587122083,43.667966492367995,40.85286849642584,37.4142944920775,35.84320354289423,31.320487223298578,32.3680746460323,28.57331290669014,30.55803497090479,30.4893290523597,33.00157979711243,32.14399837337495,28.766282438650297,27.051932244728192,25.572626451426256,28.331923761542082,28.22089959456364,28.01211732327444,33.234298582815086,33.73866391010382,37.22912420760043,40.45686607198684,42.919660208667096,45.83517620247397,49.170634762573094,49.68287193808995,47.836420486858515,45.80082344917587,41.43194546176504,42.69943566838292,39.60673150405548,37.51161083016545,37.61434959051068,38.970579679870625,41.48050117523825,37.52639534159463,36.653506656094116,38.294837232727474,34.88087955719876,33.76075739706736,31.74204319421116,32.879266771884815,29.458794179352026,31.644896783276693,27.4502307035886,30.545612233652374,26.768244731952645,24.954640630417835,28.173563886708013,27.709415756580935,31.742745745046165,31.14861502532449,35.64499254609147,37.52422625606043,36.788695320930564,38.56596714167632,41.53601213077709,45.136516894588794,45.45362352451416,48.437779426934725,51.39647351599031,50.13198478333549,46.152433172657055,45.734479464698595,42.35132496950493,43.564624213718766,42.62718963213114,41.12910536993821,40.64029132764519,36.58274064040466,41.15799654479949,42.88759189378961,44.96617645326622,45.87226794183185,43.52875557024922,49.13634256208746,52.158260402833875,49.55375531571407,50.35691670834104,47.616249430187935,52.857758161075836,50.87199779755697,54.29483683852913,55.48951080365316,53.0744120458412,54.04970996487502,52.77923893177207,53.674740470516454,55.074787114163236,50.922290566734915,52.070264041790786,50.49260588116103,47.21880071354183,50.44998045383019,47.04627584972334,44.16187940590393,47.405625115096804,48.51468569289017,43.72457576225195,44.00580188555322,47.34914763329816,46.10792414796425,41.64866407078166,44.07802508502499,45.66252689342302,41.26632667240521,40.85080231372122,45.11771902939491,46.6505907510197,49.666847975902265,52.938700640598576,51.785042017424786,53.77821254917492,58.48638509660458,60.3918069369634,63.15896720864552,62.652195027531285,60.71523202845836,61.93498800625574,58.4796700409408,63.10053229335971,63.62875110847969,57.84228988150328,59.34941923523426,64.01668983530983,61.14608806185616,58.15811145379099,60.80203618852954,62.8832818501499,59.18858088826552,56.70672942459508,53.66543253448251,52.83094824789128,55.42105167724697,54.06254375989178,53.76321142826687,55.12925620293196,51.12494258150982,49.86031895471804,51.44382220763503,49.16235805051179,45.37781988553127,46.796215576659584,46.691945495667035,43.62798728226318,43.46367135037977,47.96762223301012,46.309524322270754,42.396312446582016,46.400568266125546,49.982849499285564,50.78538032971605,53.07603561541526,52.02054407492841,56.439425491694024,56.0234361141507,51.42649839296848,54.841176764537195,57.57448374002785,55.033359746732216,53.86507188720172,59.81049005742423,59.845737236938604,55.13283230580677,57.050344003345366,62.0998550134743,60.86453116559417,57.37444379075372,52.889767621933466,57.404374214695395,53.476665048166936,53.624643733544225,48.36929868824985,47.1506804935296,42.104612070381535,43.61118257858338,45.211854841233865,48.731670543845304,48.46145122556122,48.68501484372339,43.611114262361816,44.887107147052845,39.901889307791826,39.108071984857744,39.66337197726671,41.16257408078502,37.78385067187407,35.857403667877826,37.878204842637096,36.409491774782694,31.728231920662065,33.0127879903641,35.282926272564865,32.89747724564985,30.207839098066668,30.22445450052143,30.162253562570477],[30.35117295855797,31.020037008878887,32.37422979099367,29.13805274836089,31.09400869540437,25.404156822119592,23.91556601712579,23.26491092219804,18.544254784724103,18.31435596110917,15.67125006119834,17.01532980587096,20.426508680163163,17.257016223897555,17.83678471354248,21.070183531263005,22.983916346473617,25.024695705203627,28.072992480147242,31.317973673052425,34.13953995509205,38.51679092795789,39.14625370020548,40.2348289917097,37.936600204696504,33.63797782048421,33.03322432852191,29.149105224109494,27.490319188852645,26.306450669947836,23.780647615835537,25.465852293792018,25.75757597595953,29.02015319600524,29.750494661564467,29.572509437215388,30.698019137629146,33.23933174917755,35.26640342483665,41.468134726182925,39.56379994203559,37.24963623190391,41.26921297268155,42.99075774566291,45.15335391450102,46.86436480400083,50.18372488786374,47.7165666792335,46.531367040190645,51.62973299088615,52.11255192733214,52.30107322474848,51.86200043623062,46.49088994491453,49.1782195787519,50.08180950114966,45.99609772452689,43.90896274720136,47.95971751355624,48.8203506930806,44.18707983405197,42.95160481978444,39.79663418725324,41.04584196288489,40.56141014118843,37.095921750894824,32.93015669288954,29.252355340679788,26.555456123329712,22.408673802775205,22.206044424865617,22.197153199972483,23.32821875454592,28.225526450548568,27.339505540621758,32.151128564352526,33.9993916377261,35.292286893772975,36.66558327785185,39.933415234324414,38.95880121436307,41.21958137851098,39.488637592896666,42.521766503740764,40.67301039613619,36.76994612533226,36.54342546315015,35.298946064453446,33.50620631968128,33.26159409855337,29.80054614777657,29.898042082636675,26.13590613115238,24.194392162313378,20.987270025782006,18.28818939630658,15.8965860934557,20.604823201840343,20.337987010120866,22.524781567736753,26.02715752260492,28.988905156340685,31.163428238738128,33.00673640908817,38.35850946375783,36.101195822082644,39.97498386213687,41.6010970918905,39.040008892002774,36.29625433114202,32.7887841143343,31.14677872590426,26.60019212316076,27.62742757762166,23.913907639953347,25.97054247722411,26.10670062822912,28.73531682294889,28.32395436156333,24.798380834295617,22.983345960760076,21.21030397243374,23.90862891665538,23.596099712660962,23.279911560875796,28.49334457086625,29.025948752813054,32.48016527293801,35.72928053001923,38.2236417079069,41.09404619334485,44.459937327050035,44.94573382637859,43.168873688139136,41.062401770590505,36.69074766325248,37.95347828821135,34.889159824109626,32.87529366973211,33.01208822824297,34.588540235412125,37.22931955986492,33.303910729500956,32.239555692481055,33.96443663073873,30.524098964668973,29.2489085308456,27.187773538489626,28.26828552395572,24.823684137890876,27.13580954871764,23.118367430813407,26.56841106117424,23.18243122176191,21.298956041951946,24.280845690567396,23.503958672398937,27.440847315263273,26.831650449750093,31.132323420698846,32.91024741553331,32.37751620646699,34.01178884611516,37.103257832783385,40.585857037409696,40.87776943499727,43.78014210378046,46.76159654358441,45.43702821671566,41.48341561755263,41.019170478086444,37.66437527717316,38.930522992245635,38.06084609068253,36.68615851973829,36.28915494182787,32.354185281195434,37.097285440785726,38.659417833494956,40.66357095639309,41.393552820823594,38.96202993685361,44.545606543258856,47.555844167747374,44.944295193015606,45.91437648274586,43.30202214243055,48.56061950020036,46.56286545692245,49.85078312111747,50.95488500397044,48.48815742281788,49.3692460323787,48.054156717974,48.9307677380488,50.3208092013721,46.1721882304,47.351711569642106,45.8292447509734,42.583382215934094,45.92052522203717,42.59129682564652,39.630987939936205,42.93218266761914,44.176514517603586,39.41900305137725,39.65056887566104,43.11555914564533,42.051488649589494,37.56905138011925,40.06841221568139,41.818975720837294,37.49902203404024,37.07877924559669,41.45726831990497,42.794542886048724,45.956895506878574,48.93826563452884,47.70784592074987,49.82871155990047,54.428119525583476,56.52036901788975,59.08913872590855,58.566224528985906,56.497962345379854,57.67856338632349,54.155287792850686,58.70920368719513,59.25382391057361,53.39990798361724,54.847639413907444,59.48225982234951,56.61185798277323,53.567789922330704,56.1568919725845,58.26035489108845,54.591541628920496,52.0084449998488,49.05115449037945,48.19929572479302,50.85760199255896,49.632906105028454,49.402223961015686,50.96023607534078,46.91232688910343,45.504258306977285,47.30558583765399,45.15137383016548,41.20391083071451,42.63949695591767,42.80123141413144,39.80580168815007,39.508397031765234,44.15189493658037,42.721584468630375,38.81981510044003,42.717979455763604,46.36846063983854,46.96513413699019,49.160325770903675,47.92768898297701,52.31313794689064,52.01471020950945,47.28137442313453,50.56195678418056,53.357713871176706,50.84125254720914,49.48419479959086,55.43970809514847,55.572651986454005,50.79550606658368,52.568195477601925,57.679060457564326,56.54127391805622,53.02526707382712,48.587581373226094,53.17085174479464,49.329754954223446,49.595956323822136,44.307546122109045,42.97201069013829,37.97039178034669,39.51770984106649,40.9443676305277,44.43285288229313,44.011704696430066,44.205209404839664,39.047883823829764,40.24449566669775,35.231900677912996,34.61408587219181,35.201451728305834,36.87314161740057,33.530595954992755,31.44662300271467,33.69461588923323,32.43389899729597,27.502103354239303,28.850403799634456,31.50231509025785,29.28475577570103,26.491111268561635,26.564670750452564,26.558295114413845],[33.107280613716064,33.54875086130872,34.56859598947525,31.304674969477915,32.63659111718607,27.07386391343042,25.066498763381453,23.999075116096563,19.36523903965512,18.508976393520275,15.360385188792872,16.383647413572387,19.60785096311611,16.648366573468056,16.130119894599265,19.323429870895907,21.627917071380253,23.079164089253467,26.17487244377036,29.29803126869291,31.98990528851677,36.29608553499482,37.00611839819313,38.37877528053677,36.21704274729669,32.01603790008733,31.54694477893261,27.838856786790437,25.819930717037064,24.614601376011194,21.24994336483975,23.363276227221426,23.172255747082314,26.116007654830764,27.240891708753225,27.249057052289128,28.73280312101232,31.40310891437579,33.71222612501156,39.76098424588213,38.11370151524672,35.398041573565365,39.24236730182455,41.27945754049264,43.416539045034746,45.39954535123689,48.52780830197499,45.96357124397207,45.17730488060078,50.245823983874246,50.45347374111894,50.69503569725963,50.0024499561131,44.765180328590574,47.215091480147215,47.89236565448532,43.893792451392066,41.556490063955145,45.459228016278885,46.52026187980168,41.767842442200454,40.2052956942949,36.93229697611601,38.15044603472576,37.95700740792776,34.557782269789705,30.3874823620067,26.700100101857686,24.235020071984785,19.972781287803038,20.042579662225638,19.779889933377046,20.48216568865798,25.37764240493433,24.40163576666551,28.876588154368694,31.05263843387505,32.131831225247694,33.790875275884225,37.265044274925536,36.514032587912745,39.11184515332697,37.58911484427616,40.87599967223854,39.16839902610541,35.036631725646096,34.45062698292331,33.029684186038345,30.99667122339619,30.344841197646485,26.802614387714634,26.536485228310685,22.844763704632623,21.06646618018985,18.285882301947332,15.25975716668258,13.51376714449387,18.36279016713704,18.739886166441096,21.34394003255415,24.393159330349455,28.045539891395705,29.818632154949228,32.30286831193753,37.64689325844651,35.86766491989159,39.87809654659898,41.75418065197833,39.564681882348104,36.59203909380567,33.406609455417644,31.337827086582113,26.976667989388762,27.799655087697072,23.720261596846143,25.856276446094096,25.42083334589115,28.237297427001785,27.120889316990443,23.439526881153274,22.088769022118928,20.72896843162081,24.053309393958898,23.994410351553277,24.02347193511368,29.097469152652938,29.955569699275635,33.06359328782593,36.31006593262015,38.34870369768386,41.61983649086228,44.79321866733346,45.073443162041286,42.99478633763548,41.13513670731601,36.805365942714836,38.62405600731974,35.32049307776253,33.29212399555876,32.96091151876935,34.45601504380119,36.58892677791618,32.50210409762704,31.612325868676344,32.95230682378612,29.41952128190045,28.538387166931095,26.49335425048251,27.839668385329716,24.734494085664977,27.22603420693922,23.2816231209419,26.53299804216815,23.564073343535508,20.97743538803269,23.636128621522666,22.77532050764068,26.93456973618796,25.85766024477868,30.634788861590966,32.39656036261653,31.286000108337664,33.38927193617896,36.09822236840391,39.95058563460342,40.64653220286789,43.59719193063618,46.7299760767,45.71769397727427,41.76173034504132,41.19070713445132,37.639209980310845,38.474377201574384,37.35261067480954,35.67451500041378,35.20210616402379,31.006594555925858,35.57012100184137,37.24175897579858,39.445752768212415,40.44574787974108,38.38504692441505,43.96369954837129,46.956377242556236,44.35711184671248,44.87576703580187,42.031266675841074,47.26709120185469,45.48759845129067,48.960099682330494,50.32898657534774,47.90979311014582,49.13335553873621,48.02900972395233,49.05316249439353,50.70113623302465,46.77588922312427,48.03484991262776,46.84354640289956,43.472380495533045,47.029790685310154,43.636399198584854,40.763630636666804,44.38492340102034,45.64950410315248,40.97883131020746,41.48612562362597,44.996051270279985,43.864890032971346,39.64768681872046,42.324807037351235,44.10108052972297,39.80911455432205,39.64584365340228,44.08304241590191,45.29181062339404,48.444722824270464,51.30843813153902,49.878935455878164,52.01927799303949,56.445281962850096,58.61886424339933,60.97803253578214,60.221147826880234,57.96933179519211,58.911010744008756,55.183459413647505,59.655769105738266,60.47498459809772,54.62999459708949,55.77985942800375,60.50312358137158,57.83861048728134,54.626586241943215,56.983448242964855,59.3952032134101,55.87554759467993,52.90135746010611,50.19185289558244,48.89777209929291,51.57487397065375,50.55564990339182,50.06122545582647,51.7004242531818,47.43436512039225,46.2766011009681,48.349681434648474,45.99558714653164,42.090845505443625,43.91253823584004,44.13916187189405,41.19665796700218,41.15558035203581,45.832321186856454,44.46669271301483,40.795394005401185,44.783828574425534,48.36918398142554,48.92535805793949,50.863832411636515,49.387020827312696,53.750039060235316,53.7879314841798,49.05226750956416,52.04829395542469,55.06854426263429,52.705868186974456,51.102095952143685,57.012550623451716,57.4459706361163,52.66005715459297,54.13328465675709,59.3533957979464,58.46759837269595,54.95551624468895,50.630902275010726,55.32367327017255,51.624401918925955,52.01689154788445,46.72031143175795,45.179178257848555,40.255980223073834,41.91834575998182,43.094490709091374,46.51812543597395,45.8210243647465,45.89158609909096,40.553920413380034,41.384434970819335,36.347884898050935,36.10581604284722,36.26135700299846,38.06214094256386,34.458531744882265,32.698020115432236,35.3661653339234,33.984661226227786,28.85905378052522,30.79201566372092,33.58744998057866,31.19224279128921,28.249209191084926,27.988322542723612,27.73243739269035],[29.99797150670628,30.117431212732512,30.8636133990938,27.47277042007576,28.47066980454031,23.052827573229266,20.827933497617906,19.837160195529794,15.159789839050745,14.139662277087023,11.061287130810173,12.45655206625198,15.48788538336373,12.491054277804205,12.571690215612668,15.79026659872309,17.887779535472433,19.90964216267148,23.300718590033902,26.279423605428665,29.2880966498547,33.561883192730164,34.4053995127325,35.60381144208132,33.15774307575811,28.940278749585538,28.123098830559847,24.22018226593985,22.31065434275515,21.03867804019087,18.56640278611913,20.254768583204967,20.762516655746992,24.026712574023207,24.531870899826835,24.29507015777646,25.410612257571408,27.99338368845383,30.102089268400263,36.242819853008115,34.54307500672475,32.17778469435136,36.147793340799865,37.97680915887028,40.28314023909078,42.12611539166112,45.354448234233786,42.71369040553732,41.64268618790936,46.73767453987766,47.03465704347988,47.180159660101204,46.66119650646986,41.297669955142084,43.90576206868678,44.843415148578366,40.80159363034689,38.65643662780875,42.74205613918302,43.68267878604053,39.117507999029336,37.94194546178775,34.78314328754225,36.25743624588837,35.669907845964865,32.043187721124546,28.158425322920557,24.306673781936297,21.944818328642576,17.670953237670897,17.849716661785543,18.40883846976658,19.028401554670204,23.860233071956674,22.548383336998015,27.5827836790362,29.040552333443323,30.407255759618934,31.559211590467086,34.73477046002029,33.68629386290191,35.91293786151977,34.23292078778174,37.290348652852195,35.46666443145336,31.501519860332955,31.251766691896545,30.015076099816806,28.271347319734055,28.195433000561543,24.80317388378899,25.292761473161622,21.458008693090388,19.41133347816629,15.89317402635898,13.520918309610627,10.721686904819192,15.637196805135217,15.525764606215311,18.45439987501915,21.20809144774256,24.554475765232777,26.25285261582583,28.44364122893032,33.666981482301416,31.71508230897365,35.76491464310781,37.514376741049816,35.30406495079173,32.41032417677329,29.155684861560125,27.012917434225912,22.630397828924753,23.44054451421173,19.4491525195004,21.70660798883132,21.51954920095089,24.50191309608419,23.938341635860407,20.063022859520352,18.607910867289743,16.867841696473306,20.148925758948995,19.82767003548008,19.720725109059387,24.762263125655938,25.635979696215045,28.693377527145962,31.95508175504301,34.03011773237284,37.251756807156035,40.45622375048073,40.72459827512076,38.721088520705955,36.78924483493014,32.455047268945926,34.2687885324225,31.013726310638084,29.09466375889965,28.801160900267593,30.574086480422416,32.864310992551296,28.812916040450474,27.681409673757944,29.118305710714885,25.532774073494682,24.459849926287948,22.333153307904503,23.605754107130668,20.463706490639805,23.10425927165881,19.382799017644615,23.029503796756238,20.557979733768114,17.910876069103075,20.245245150762926,19.002688145058393,23.046923145688197,21.95589409131898,26.513690796356755,28.18101584970423,27.319759905540575,29.27295571382953,32.132476196815084,35.852623631500215,36.52351501431849,39.37253841381109,42.53522952485601,41.44060604008893,37.51686921259131,36.88733787288332,33.37013208346461,34.26413903739785,33.21353211700575,31.674259459023517,31.294405808435567,27.239497889139724,32.00471672767535,33.49794588705684,35.607824248152376,36.416098950246855,34.22851804182524,39.79500836362805,42.78601273636807,40.1820177981027,40.910725751747385,38.22128650663802,43.4879037228454,41.69558097500706,45.00583331147899,46.2641804177773,43.77774460581044,44.88161229482243,43.714072303224306,44.70480760105656,46.32832418799152,42.40085434886783,43.68069168155683,42.53628637182296,39.195737977499746,42.84649938974268,39.53471713953621,36.59418282082662,40.26211030188432,41.65338598822583,37.03505137873895,37.49725887655807,41.10557960105329,40.15227441845593,35.94320303923637,38.67244580746117,40.59529342002759,36.412462468849306,36.25256467511679,40.75757674625229,41.770781169815415,45.03816256748925,47.61535995058954,46.116645601770024,48.366262811059116,52.67246742189929,55.01269670569003,57.18258822634846,56.41827455477931,54.052685106071095,54.96275155286795,51.184994323430594,55.588182852319875,56.41088354854183,50.51253465907899,51.61208405620186,56.29545145754747,53.629473791400876,50.3739653122271,52.6840601402135,55.10663927151024,51.61378447819611,48.558336635899366,45.92355958415276,44.62162783373912,47.36063524857383,46.466643383403486,46.0497928917493,47.874364497633444,43.582156398502704,42.27415449180843,44.55198427932617,42.33992006070555,38.28087288588935,40.10595806605455,40.59728910474504,37.739966905387305,37.56115369741129,42.34750970824114,41.21398876449077,37.57731699932099,41.430175239209774,45.059245499304474,45.413907190398746,47.25591962848656,45.61794703125695,49.933934559328634,50.076494052163234,45.2279733805685,48.087729825560885,51.155021216314545,48.82215583125878,47.04630259305783,52.95098712860563,53.4719584111279,48.64272376142245,49.97663767460223,55.24094741459329,54.44857044026219,50.924639184004405,46.661493159159754,51.405828096511286,47.806587183581804,48.30043403128615,43.00421931260228,41.350846615665475,36.505266242673876,38.20713514694341,39.202210022777,42.5798095907974,41.73530756718693,41.76520580534215,36.36472994997127,37.10665562733637,32.05791877085167,31.999049995687376,32.176949033474784,34.14852880806556,30.60154980503843,28.688793541222985,31.58343656924129,30.427029069709473,25.08368991379878,27.086564467591376,30.241099777611684,28.049264248629374,25.045930203966783,24.840078385593532,24.64130807339132],[30.813937920872668,31.09125123119033,32.31382712412835,28.182305783421118,30.03166253377232,25.04754930716857,23.272784319136214,23.37356100542726,18.47448034676257,17.30361848860034,15.073782322846439,17.516630789667353,19.62702296258775,15.614049210182404,16.80535197052516,20.23404387904105,21.198934153472983,23.051225934392207,25.36264457839166,29.053745426536373,31.560044329532396,36.094815865579655,36.35528247663264,37.17513133554629,35.06411359212275,30.67852412888952,30.461916613422943,26.754795030284523,25.703320647536557,25.27286033392134,22.93040830664731,25.343634158775632,26.14129471791435,28.989589615372076,29.336321218916822,28.46410691880595,29.991192807678797,31.626617611305704,33.42790546587217,39.782752268210245,37.23396249945797,34.95493640059622,39.0959611657353,40.521015193986884,42.37589908880213,43.87456413674264,47.31206708274268,45.18737937399098,43.87480057381025,48.9452599402772,49.781248758561496,50.151543297827395,49.92176376390008,44.60264260594161,47.7113425963172,48.35023278083166,44.06175657824253,42.410333714404885,46.436777893730785,46.805595996024266,42.09968723747831,41.15797383167174,38.2992697459343,39.099043766873564,38.35322837149091,35.169038937149104,30.587946814148108,27.26441457550473,23.937716765373917,20.184477181950022,19.35965818721082,19.23227352257175,21.136879541386094,25.933522345643784,25.74222951939017,30.89369772670419,32.63012409556517,34.50664924118219,35.72471816376836,38.76424993445711,38.157395007089576,40.145646195487004,38.88929632202581,41.60749395300465,39.345192002975445,35.65273149288113,35.18420101434843,34.63338635481891,32.30199549311971,32.79981798747841,29.017979500725804,29.26745597804618,25.728319569749132,24.276880251279813,20.82635095656742,18.561987068157997,15.777350075060433,21.236944486803697,21.178643425727497,24.2835856951743,26.795151853573962,29.94472988858522,31.42641909432649,33.30977238733793,38.205664891116754,35.875007788048194,39.965360973150915,41.23469212753203,38.69572064691144,36.254435557880846,32.51872396160646,30.42933782703273,25.844090744661813,26.140201928915616,22.11811267271821,23.54896293082132,23.526067682805206,25.60842058077872,25.04783724412001,22.05983037817736,19.89195297689216,18.44187920802659,20.844439244728616,21.105978404449424,21.461561142593737,26.67336964617255,28.111961890625267,31.323761575718354,34.79755301272309,37.41166903939708,39.97528819966957,43.59736757138911,43.67685910176914,42.25421605710664,39.61081634210865,35.15860752697635,36.22032843905277,32.78218205566613,30.342069461130418,30.507576580928042,31.44746300745143,34.11703410376809,30.308401691819878,29.59296868433882,31.577870396484702,28.56464826677772,27.257698449784623,25.851403996243608,27.400973144399394,24.350137070093275,27.322015159776008,23.94235477886436,28.033615957702413,25.41188276101098,23.319190654761925,25.678787180491135,24.13304973093129,27.92131190455467,26.722078172165762,30.79804420402952,31.726988119438495,31.022364573722896,32.01046386402082,35.24957045899636,38.489067195801475,38.33766826745669,41.5933624241968,44.29435239951726,43.14277303219383,39.06844980858356,38.936602496133816,35.55984304735648,37.17921083878627,36.66466800645497,35.57772165967947,35.72035683281932,31.80895891362173,36.90421625538328,37.841031558788714,40.02419404459212,40.14412466517459,38.1354165170115,43.482192850773,46.261525255727086,43.40623600708843,44.22398159347423,41.439196090026215,46.62516149591727,44.10692415506216,47.60992956601282,48.661558921768666,46.461679037969525,47.4277453487952,46.295628317355984,47.39142079628257,48.906248024086445,44.785766609324554,46.33913116251583,44.956883915590254,42.04135210894402,45.667876984513875,42.68581072460802,39.427839006617575,42.586903844975105,44.29641388672986,39.61766554966113,39.24062521727206,43.069261270166436,42.62626731566481,37.79798437537758,40.131236547813714,42.2871732246572,38.18371453853155,37.24022785058066,41.71206768930393,42.73527124338713,46.3183957020106,48.563323558314124,47.589697948718154,50.05675445827809,54.58353574136064,57.01753324411184,59.35510124351788,59.065638202561814,56.85020231598238,58.10047102751328,54.53858827178701,58.915025273474846,59.34292009553002,53.30651297467797,54.74080899539741,59.167412716394516,56.12901175309934,53.01543333079321,55.479502381739096,57.371689043689024,53.66069849907013,50.92154974037522,48.31631988287326,47.72299729580477,50.644103199226905,49.8008646727989,49.84057055627471,51.82143907824394,47.73614646050984,45.96119449758321,48.17244101162717,46.35035311271721,42.10256093503944,43.40463700140406,44.06545060422661,41.19869318690958,40.4960238503928,45.325574550809094,44.25191245270975,40.23540423713395,43.8085980345827,47.603433941089506,47.84855733482619,50.0714126165414,48.66392880940649,52.95086744471486,52.633391606753996,47.60880939670447,50.77991685890521,53.48861410247438,50.86027313384659,49.21141215052209,55.21246870347968,55.22141623049871,50.21187735414461,51.85184422655735,57.015024798064125,55.761907286042685,52.08573409553578,47.591879454288595,51.99976185818644,48.04495325767343,48.7725994220818,43.37918440431077,42.3495711170773,37.448010445756275,38.49566976658654,39.790711186416495,43.07663531487862,42.663584848202774,43.28964763381558,38.10073277358109,39.42916656240212,34.317418353535274,34.25938024146756,35.359306546329975,37.43876569623444,34.34107937425941,31.720995037082705,34.23073859177284,33.5663024937554,28.314508073046934,29.256648163217747,32.58212520055214,30.882161861288306,28.0903058479781,28.4082192256998,28.54435168584617],[29.507742133930545,29.428477127344102,30.478888524710875,25.782390631233785,27.4940354381369,23.084191302857985,21.170311474551024,21.883569243211515,17.02066837528917,15.342913141693991,13.736631421846859,16.948037118482798,18.071266163280924,13.60657474913103,15.705576350691647,19.08799228395731,19.21619234052718,21.284971525227725,23.20564531454511,27.060897852712838,29.521240052086068,34.09312520166956,34.19049912397868,34.70507869569023,32.55111733346918,28.12758390497909,27.95274413096306,24.278523985821266,23.76880020774387,23.791312326570228,22.179449734799963,24.67303386199701,26.087815550740046,28.83176861456509,28.639817754898317,27.255728686842726,28.752957125315575,29.76300994285737,31.25253176186835,37.69832279639819,34.72075716611115,32.73388580841014,36.99798179209855,38.08000509566658,39.8313301510545,41.07862234266654,44.653329646318404,42.71470141939524,41.1228259254662,46.17172429043277,47.29639751728395,47.71339569021252,47.729059306369415,42.38951964838651,45.82922796329919,46.47883827380718,42.07253130486373,40.81270921507879,44.904632160460714,44.908778585145534,40.30969124969292,39.77961343765571,37.18505990596612,37.857886910133736,36.73718817979733,33.62457512704336,29.00654108345912,25.870063059933084,22.24598002643217,18.8642656149361,17.66924572492766,17.945755988132014,20.282153082600775,24.86419856513923,24.923957708617934,30.46651830015918,31.734345108828165,34.0580605512236,34.90358706593485,37.61145422573609,37.039662385667356,38.626589057706575,37.54302665573057,39.90252076283423,37.3482230804096,33.94232611021641,33.561655354812316,33.52620421708885,31.10219670615766,32.3212872809261,28.515805858222635,29.225219449796057,25.803401832004926,24.50521163925152,20.68954702041719,19.053043156146238,15.746052561686318,21.304407828974146,21.066315477879634,24.585772990086106,26.460050262138815,29.387136784140367,30.492156046973104,32.11937791563977,36.628182707363415,34.12151124259454,38.280084565951945,39.22699310783211,36.65038636998622,34.493415639772195,30.581289602824572,28.299789953512704,23.729227600680183,23.577798627069015,19.56219536864137,20.56065902349051,20.692961171861164,22.409154598437002,22.21264957808641,19.578188042399514,17.03561864716423,15.546583587802758,17.480978546450864,17.96373209293324,18.649481222622413,23.791437134883573,25.74553533763597,28.803989674688538,32.38504536338587,35.14767958894874,37.405485409885166,41.20204367064701,41.07277756526103,39.96013300714019,36.938172479633494,32.46366144860953,33.280409982147084,29.70055892040869,27.05721314163963,27.362291548875586,28.039510482557024,30.905591086120847,27.24879572576686,26.606000266748556,28.86876139634362,26.162243742925774,24.67787821654262,23.685186993350918,25.407477447863283,22.594440431473316,25.92222946651392,23.100169455118476,27.634965013720397,25.62386535452966,23.58070313293074,25.46185472702618,23.399284213350086,26.8985552026926,25.4698311747218,29.126369402470182,29.48243440341445,28.91695179934915,29.31949076625593,32.764535507630065,35.689459938083516,35.17489957609542,38.56964316037405,41.07574774694404,39.93427861913031,35.81927875857277,35.88457016489754,32.57229330230631,34.511646495465115,34.30117613505315,33.522669061139176,34.03751338316991,30.316109732123238,35.65183692127609,36.12076322134319,38.30096703030003,37.92908174317436,36.062109304200284,41.21358303300377,43.84071668177464,40.85823990715291,41.7642413994904,39.01687723424742,44.14018724297997,41.289864535570956,44.787390520459596,45.702694494442696,43.62816480503147,44.519127570507884,43.431168224464045,44.608136639936305,46.13172703645897,42.00794873988753,43.769222475760145,42.442980677030725,39.7774869809138,43.553785236908276,40.84347405237991,37.394211153737906,40.412346925223936,42.43582829638373,37.85141248314488,37.05398272997293,41.10806171284502,41.11830447553774,36.09618733275382,38.311366448307105,40.75005934760067,36.85142661316341,35.58119247788443,40.09663001260584,40.85606000367667,44.71375568113071,46.40630648616837,45.57844979474311,48.27910660217159,52.71111102112276,55.39391656328649,57.53185959301689,57.40162372951227,55.08697022542497,56.39045063253233,52.83155097575793,57.06770214787359,57.3899187140997,51.25185173837527,52.69426467081497,56.95240485674369,53.7987133574685,50.664309254580346,53.06061221991898,54.78208972183319,51.04946400294177,48.25540663320826,45.861610131763925,45.490620399774265,48.57078544842682,47.97413847937864,48.24332466830092,50.51732891707615,46.46311651874835,44.38867403616145,46.86294675852741,45.33377887792835,40.88234098761963,42.03728757729376,43.08126080516237,40.342337471298286,39.31996201145411,44.2571089581882,43.48465092677242,39.4246429281602,42.71145119611409,46.58820790213009,46.54907550372718,48.76463267050952,47.229713587997786,51.41755959393914,51.09163976714842,45.87987046564362,48.94892728780107,51.583735335705384,48.89667747897309,47.04485291692505,53.04846300004142,52.985025876932774,47.843124642943124,49.37882499296318,54.55795741947473,53.25149281531072,49.48947672472148,44.99190154926571,49.29331193914283,45.31431869538221,46.33952697494451,40.90746537344112,40.03692337274056,35.25160604124946,35.99629450879569,37.153156767359604,40.29096181543338,39.853899439347444,40.73457996264223,35.558672344882154,36.9785856336448,31.84962718619639,32.15386247537822,33.63408627464985,35.98175800164769,33.136283873906955,30.115523780615582,32.775039602939465,32.584586425454894,27.174918508539,27.786186502301963,31.596529056485583,30.331363490776432,27.586092632153996,28.11138754634268,28.395985350354902],[32.82121295400722,32.44137584113389,33.40517487034087,27.922057907474773,29.527445833966055,26.176766795783216,24.13420984815761,25.56198954756616,20.926578762647328,18.45310756568308,17.42717976309357,21.16342331643195,20.94279869504361,16.072344799792855,18.317521902011983,21.562954853344742,20.583879063237106,21.971512805889414,22.525289108912453,26.89779446450187,28.642221336664978,33.3022345653838,32.78457069468278,32.942583173891045,31.2666677244633,26.875818369322396,27.46618261790135,24.33751214939311,24.67644220165139,25.70282789287649,24.068568767273458,27.412944016695523,29.05127223466118,31.101527478092315,30.704723116115726,28.629836099905585,30.706065398492147,30.552921109915,31.763621513005123,38.17352066557119,34.407375685762716,32.37995242462916,36.63508651011656,37.354588936137915,38.538520005370444,39.504906873800536,43.145956030854826,41.77787832692062,40.161863977344076,45.063106755967915,46.63372523283268,47.34463871042818,47.57178707697331,42.459169472650906,46.33082641885863,46.502126344235776,41.92082114304319,41.19712727863189,45.09721513331735,44.48516598412574,39.79808899733139,39.5275457613635,37.35882391148986,37.28996576533782,35.990882202247555,33.46654729827505,28.30812373729826,25.914580805421195,21.54141639555299,19.069605818818722,16.974620596723618,16.69420022032846,20.079309103296907,24.177273762708158,25.36082684211817,30.859920951897866,32.203286540973295,35.08581674573397,35.90448991472018,38.358572092539625,38.39416801172126,39.746093103921545,39.35390296909529,41.35869518008329,38.38728467370925,35.28149537868392,34.45777972202667,35.22919246851864,32.094167934903425,33.97208944115095,29.870705364531254,30.45468386461873,27.525601903625525,26.95276231723696,23.367443824431525,22.091573027569414,19.037274494003,24.871088504567787,25.028598551469784,29.146845162966788,30.104611892749322,33.26291396517172,33.610310986747955,35.36647995204071,39.275193248715055,36.8370155459823,41.12665618294553,41.68452144756199,39.220297446395264,37.44274319917607,33.43755715992945,30.733629029492704,26.378872102208497,25.31797021428381,21.15018288034917,21.10898218657326,20.857370330438503,21.48627286685516,20.787581807625617,19.349178007865234,16.518644800574457,15.950235877663008,17.17519093234563,18.688266589055864,20.36409364120989,25.078489294014748,28.100782261498775,30.704446311437778,34.41400359873851,37.203201312244495,39.037837759662956,43.04457759833064,42.39878527833311,41.72875510905545,38.12964311973579,33.69578305104024,34.23072533228547,30.243166669823086,27.04926811955632,27.35370356402464,26.874804783641235,29.60274785305815,26.258030469515628,26.303917033484545,28.802105800429086,26.86070425410363,25.508519583537826,25.491873113285905,27.73860470082088,25.585851707839797,29.410581922037082,27.288192258507895,32.10545731581647,30.677041940418206,28.498381731274204,29.86767183001557,27.28504323659517,30.536819218523306,28.519480225810206,31.866739798815498,31.21235825447703,30.328741212940027,29.916599954896586,33.35971615908989,35.9164433958418,34.7980724820044,38.65509385509062,40.69134393219835,39.864340401708475,35.668680465210194,36.23138721080859,32.9770905187825,35.305056674576754,35.539323873061775,35.09285385535906,36.22190218315885,32.59165991998606,38.09093585230694,37.86246794954218,40.25102764001442,39.201669187392945,37.98491467952047,42.71134087378007,44.98510641014128,41.74769232469804,42.332381236187224,39.3459857485047,44.24079773695868,40.72453904701999,44.53265724128363,45.40852025809305,43.77615273958303,44.82182319900156,44.03603183204419,45.499261320109134,47.17366549940073,43.17825203475583,45.37730761123448,44.245088279781605,42.039978180420995,46.047822279538345,43.77409837948874,40.089871049780776,42.84586776389616,45.32568652962703,40.921517265786264,39.44949719406097,43.79199379165247,44.44855753410955,39.15911008764224,41.098387399378396,43.88476650600743,40.28205141862739,38.45424946294239,42.924286586919656,43.37649890268887,47.59864665503139,48.49276709438831,48.026165379176796,51.04499569603973,55.36928625665334,58.35192053472747,60.26821776069173,60.42098099330047,58.00764738761477,59.38887136168236,55.84828372075533,59.848685959288225,60.02748702788742,53.77498150186641,55.197273006629274,59.16115805918649,55.84436922898759,52.688076852521185,54.90978538582472,56.337198962708825,52.594467555443885,49.67846712113506,47.74943144854315,47.70327310665729,51.02448391925422,50.8460353741817,51.39139960151644,54.04291589521602,50.011907336420435,47.62216997243308,50.441818066720444,49.24363997795586,44.601349860320326,45.592932122078764,47.06052228542464,44.474256595848054,43.09696935040029,48.0991369088164,47.631187702920094,43.51037768231371,46.439906725645656,50.391241976787164,50.04337694450221,52.29330003113842,50.64799333027224,54.67890306221661,54.29458377094613,48.8760757876223,51.81747001374038,54.28914315129321,51.49926739646968,49.398154549164005,55.36024327472617,55.10714161718428,49.78145900170736,51.18118299715079,56.32499150968754,54.85172308512529,50.952480374992874,46.443795446629984,50.40866184954668,46.313433821974044,47.87312668836548,42.430881584340824,42.020263673419954,37.468357834852156,37.541262842669276,38.56923799633235,41.37075986789186,41.01878516686402,42.454745314134584,37.41254563321527,38.98463908253387,33.911003546432404,34.82184511329173,36.823952901838716,39.49451141302039,36.962567989570296,33.533743514468604,36.309179117565414,36.66492549359573,31.189868933527375,31.34500291267453,35.580519338557835,34.78843954744515,32.14691461518743,32.84603094591818,33.22293133539199],[29.446373778832953,29.71987020706279,31.345085742187155,26.47636549821592,29.219555718267994,25.056675420093153,23.951303517450853,25.339305963182277,20.618714484296582,19.60822348268119,18.62588409668011,21.876083058378114,23.08913986264595,18.604454126889635,21.27295406419723,24.591045980607042,24.332460428162882,26.52353482886852,27.946828620443622,32.014544267098096,34.24212087801269,38.85510274430309,38.63970733568813,38.82462026844738,36.83411598241856,32.41154877154928,32.4517454758167,28.896388757931042,28.885991056437806,29.12444300082429,27.838478777119185,30.258823291951007,31.777073974133014,34.555283010357044,34.29152659847143,32.755649371135924,34.180462029565085,34.87645246365531,36.08899364581218,42.57407113713566,39.17254657853346,37.474348557903525,41.809005589745226,42.53921530327595,44.05600273261426,44.95834933398148,48.68558897466068,47.08610578120301,45.18155127951831,50.15651803916197,51.682662431114984,52.165338709934844,52.44158421088339,47.113728253604336,50.82696203124051,51.46641912222336,46.96948290098927,46.022486312189784,50.10828462955999,49.79811406650689,45.24207868681283,44.91839774738732,42.49691881656705,42.88914805797253,41.646624693872084,38.754621552904844,33.92925407717877,31.086232651187856,27.123466118717676,24.103835146268445,22.510235504477514,22.4488360292596,25.3261803333218,29.76416070132906,30.290388726591193,35.792451787839,37.14551147519998,39.62115132568991,40.45371750232286,43.052947490386266,42.54121078310695,43.91558595838937,42.85138046945255,44.965567912080665,42.23281797143478,39.08444070165989,38.81691821952753,39.02811036271371,36.568829737066636,37.993137074431836,34.137198268695364,34.75420480675718,31.415229611790643,30.20111313076677,26.415210669525717,24.709648358947547,21.439762691422747,26.895563094537213,26.40688450243131,29.515096277616056,31.789350018892915,34.24885901735618,35.63365931919116,36.762040899920905,41.164052682404964,38.2366288317278,42.216129838868426,42.806442554613234,39.837741325548514,38.06030435442624,33.80943508579151,32.00007547682866,27.368701978056322,27.238872317410344,23.71977735376353,24.279360147414504,24.89051964827405,25.95696430970246,26.220418223126575,24.234267748842438,21.307249988623344,19.812238170730957,20.668261015640965,21.184984735588923,21.712427406471633,26.74948289183865,28.540658000269072,31.87383841809257,35.43253566337918,38.72385928509494,40.342414466771324,44.399901228057274,44.38026796931641,43.74956267510961,40.318728206617884,35.867650090581535,35.85292288730726,32.5084975809666,29.7189039224133,30.631529480785805,30.916493379656934,34.26000060998188,30.97100597393085,30.434875452162895,33.11425338994877,30.776685304227158,29.007209127913637,28.26998087202093,29.808962248553236,26.841878257651473,29.953591703955595,27.16450856005732,31.735573724557216,29.254309349821476,27.89823179556179,30.10954058033899,28.22106297802309,31.475355616347862,30.425585690069813,33.583795397761804,33.761882142992825,33.65859628749075,33.4011648128264,37.16101386850884,39.57186363271889,38.39173352786125,41.86468181197318,43.9781178041687,42.5741519518737,38.47599089141177,38.87219196211606,35.871246731165584,38.40317110319418,38.57929091909639,38.170015777810335,38.860045858058214,35.39480028808104,40.82045741129805,41.104302102822366,43.147982331371345,42.401307372529,40.35254999916821,45.356666154989476,47.88522319511362,44.84444505262938,46.08925765755884,43.497619927659485,48.52422769143701,45.259876196128474,48.66655992958353,49.28782001879188,47.340427724518214,47.8968832975264,46.6731902250436,47.754900093913065,48.9882212885206,44.647299842124724,46.42245755066898,44.70551535814445,42.373342006270015,45.85867784016892,43.36526086320444,39.78654773240901,42.22754844149971,44.31152919496678,39.692466263626656,38.28344678362243,42.30243078444642,42.571244196143766,37.118565815084295,38.91524567558121,41.370997592450216,37.5430502629249,35.65970570793457,39.99601443895932,40.904004947386206,44.85075786170654,46.51080306129382,46.16591474193675,48.89737747308352,53.56880872424051,56.157119111159396,58.587697794128495,58.89208636607798,56.85642347002151,58.51656614231977,55.274767712231366,59.54934099493829,59.45529416791528,53.32229629589965,55.170164758432286,59.20678259126622,55.73429810409495,52.8586055456617,55.51348063891548,56.69983100968775,52.76557370348425,50.5248568028961,47.93588982032367,48.27268295081874,51.357393505416674,50.57689065506231,51.23483203309922,53.42854100329092,49.68671723228894,47.28535215461493,49.41584813714057,48.19036303049068,43.72848962330693,44.327840605657194,45.30360156131835,42.53631125860948,41.127118738903654,45.94727427710576,45.101374504180384,40.73604008415255,43.78953187216856,47.73148148606999,47.72397710471301,50.332238381812616,49.17042632457558,53.327763996284176,52.47743995099279,47.278946806348316,50.73536424906229,52.96368728646976,50.02321728841715,48.518244920381385,54.53679979408688,53.93582111881891,48.78383986801358,50.75441459971425,55.71588769916223,53.941814947480125,50.14428659105704,45.468598725119655,49.41925351540295,45.14073710675739,46.14292171048981,40.745556958433106,40.4489099909262,35.64427912350023,35.8903121713154,37.46543764287695,40.56298909348727,40.658450473933094,41.950763537189616,37.165674417587184,39.179535209772794,34.17356110496587,34.08387234976008,36.29031334160565,38.47490336661366,36.06779075786136,32.61764849662795,34.62323185801024,34.69539937297214,29.696186824029226,29.322949512314608,32.884954685598956,31.984027307814408,29.55535390427405,30.51915680768296,31.103227313176056],[29.002104963651153,28.866458415389676,30.42801308033323,24.764941829002964,27.68462390120496,24.781896089867793,23.917992692611897,26.343164879083265,22.072518707395037,20.77688240793868,20.83604685901709,24.654172295659883,24.702086023321822,20.08681976335256,23.669370443616955,26.705459439710072,25.330629610945724,27.65281162986688,28.251878742380732,32.444372520536454,34.39342478049879,38.92556905862936,38.33783115255141,37.942011124932755,36.05267860718365,31.749869379120376,31.980694048485162,28.721410826328174,29.65010764262686,30.55058395674721,30.24439688100648,32.68359326207503,34.865165656509596,37.44480552194783,36.55599212585215,34.39219532902747,35.73925716102086,35.472231871658984,36.11813159249994,42.55095311351927,38.44495067866038,37.31197023792761,41.7154096164666,41.7987510150091,43.005139971614646,43.36498108899714,47.2813515860623,46.15105391725484,43.75996763134231,48.56305275355676,50.66729517215253,51.25070410192341,51.97625566522818,46.73457624056282,50.954814224209905,51.568373541997445,46.95163955591818,46.68335746882355,50.76778731522175,49.83192870618218,45.51397267813051,45.817652899874155,43.859392253221124,43.94668960379613,42.20254445684273,39.59026984562713,34.760838160933105,32.39758799474982,28.10335207293381,25.862944302306246,23.776952664180136,24.023900673599382,27.439786740572114,31.363559138806945,32.36737100645472,38.1384399829431,38.94575114836201,41.969290635155026,42.34240524420084,44.43627560474734,44.02991919100792,44.78820997036233,44.00805102545279,45.51131558307783,42.36712949132595,39.785418643277566,39.655258979307874,40.625479486479364,38.06866976882216,40.40476762214631,36.57878762639741,37.656442173650106,34.56388590094197,33.59358230265333,29.564025242187345,28.51035507476963,24.90429260986015,30.239377438062608,29.539722722780823,32.90549669952124,34.50352460743273,36.512582850801394,37.4715544607671,38.092087632727726,41.82075299658565,38.57976587074135,42.48607924799452,42.45961708438056,39.352744899333096,38.19213300111854,33.6925375417515,31.86962430894092,27.465787212433174,26.69517921710954,23.646548704913737,23.2984573607665,24.30117409322886,24.380694835076483,25.361068255217102,24.35548320212326,20.99822578494535,19.654334185352653,19.113698557519278,19.990051250615846,20.92306487946729,25.406423952327472,27.8309260113406,30.89283752258126,34.46924000939896,38.103193519165146,38.93540848408515,43.27744559089182,42.978458532388714,43.034766613019556,38.94072447219304,34.60418528504226,33.81179858109715,30.465836133404203,27.372411071601448,28.77892270777237,28.37542438894631,32.1285601129222,29.405038302592832,29.08982070092314,32.25028127891191,30.636088089304778,28.59943911014935,28.606877541962398,30.24135320471893,27.69955031152688,31.04683074348827,29.101749878489024,34.043850022513496,32.221253214154935,31.14583534661422,32.83901879492787,30.468254177764752,33.17179211978216,31.990761536882644,34.31565760282501,33.61508233361808,33.87412736356846,32.51152134878239,36.55903187486107,38.207862132668765,36.181251866141224,39.833141637060315,41.390965010334206,39.92169990310604,35.86416215605123,36.74286790132208,34.08429864551315,37.29605100016957,38.08237913776994,38.269822142920646,39.524676342673764,36.49941131803709,42.12018296434362,41.70172295585348,43.65289356186397,42.08602094545241,40.240588468259,44.77693626103923,46.9824565696074,43.78677239688245,45.25620403054402,42.826829551574406,47.60771627169874,43.72484594521622,47.03231080033442,47.31094809584186,45.66318678782627,45.956456710146355,44.77610172911544,45.928687920171754,47.02952881195787,42.67241919923578,44.75066688777602,42.98347184668223,41.24285053327036,44.75761414615159,42.82021762676244,38.984728942384095,40.89298044200972,43.4440673793581,39.059461586310015,36.75462296469836,41.018780390775014,42.092972040884895,36.28987838550516,37.66029353588621,40.50968713981446,37.122720060551295,34.49915742298977,38.709634517893136,39.24300705482817,43.59345594077706,44.31909793884976,44.44717627109364,47.518231616090766,52.080825452164724,54.98153969284009,57.20253193362985,57.93562553008455,55.89100529712953,57.75986554972884,54.693261363415864,58.7198549119168,58.294338540937844,52.08629422431588,54.09213363725622,57.7254848230497,53.97849786942187,51.222356700178814,53.84625748132438,54.512175426851584,50.502560853563146,48.457184709419316,46.16182614432934,47.14775366099808,50.42411626208765,49.952276980476086,51.09381508142946,53.64717037145913,50.12522551886305,47.21053393267519,49.54956777018563,48.87751582354558,44.20825851558114,44.367322091364684,45.84676101811403,43.304274999330964,41.3190664040218,46.14794963746577,45.721514186767095,41.263567860436645,43.740150477027996,47.75626312434762,47.34044951664162,50.05874814226864,48.8805431680688,52.814143077247074,51.744124270122384,46.34906076123223,49.75942899491343,51.665207549431216,48.56382200744694,46.919774894763336,52.86018633608718,51.9090465589455,46.61117962436739,48.586304492603084,53.40703080184486,51.348034725358865,47.43992187704009,42.73959375075394,46.275065194323844,41.85786364306623,43.345707608270274,37.99094216671021,38.26379320068638,33.76158605262773,33.22330885941639,34.74338756079966,37.495496139016005,37.8274967212222,39.728581146728345,35.27336034674361,37.66063318004505,32.84028460062293,33.139027768095545,36.161427844442144,38.604669633305065,36.79528971221393,32.72623018331576,34.60571074145161,35.46041772409814,30.58754448196092,29.35636485711501,33.37836239991491,33.260464196203024,31.105207361279515,32.453873044125814,33.30410327622139],[26.34287709188871,26.880903500240898,29.027919394574944,24.208284911772697,28.00611722672066,24.269897369117228,24.18484417970241,26.320275278612403,22.091559889179482,21.98860112433412,21.898834599710067,25.141676784736294,26.373782050117825,22.183521789525365,25.74656912195028,28.826290022580615,28.185271558488985,30.974409206520086,32.35509318491212,36.29669129927785,38.655263370038156,43.17328319493722,42.906429901556294,42.68868292714941,40.537540540711156,36.19186070535073,35.98114691598372,32.371769595648985,32.81572024713071,33.020601311361006,32.75905337080091,34.536996318969926,36.50309815453204,39.60848856216437,38.92327959535297,37.27244570342304,38.16736464388208,38.71468792913547,39.491890577674106,45.95520786842921,42.319011677316524,41.283646025583366,45.71571865988002,45.97323400221972,47.51085913788603,47.971845316231104,51.88808902718368,50.455022772467274,47.985783156012886,52.86869716761346,54.77658502083066,55.15984429248116,55.81147066167696,50.40215409682555,54.370750588181444,55.345343719938256,50.82917424136353,50.2368361846089,54.46021909822369,53.90176219492534,49.630312396271435,49.75769306138957,47.51277846377606,48.01515226735767,46.415570503949574,43.460917952117406,38.87349694225676,36.0801187339754,32.14105252117206,29.355435930644408,27.701875383010574,28.03192947304039,31.008653051670596,35.28499496869494,35.72659612867325,41.463396512551014,42.36485408976812,44.991017454481394,45.45101085500006,47.7444037285084,46.912255750282284,47.80918848086074,46.47452177666228,48.177459791041514,45.32198240868107,42.5998523527954,42.845588732426556,43.24591754457699,41.20806157227403,43.039760744905664,39.39846918234717,40.43043123935815,37.017285518042755,35.568807851433604,31.47649158756862,30.06357416059997,26.42637809559205,31.41628368470461,30.308724373578933,32.83358174088783,35.45737712213119,36.98573543836839,38.775047544358905,39.0066573651392,43.192953995104666,39.67709197917492,43.30517760761685,43.42700651787931,39.986236448587114,38.72196865248864,34.15122496180108,33.07355137441154,28.51579979466735,28.608345173366473,26.004204937561838,26.31560667295485,27.772877531890018,28.437585273264844,29.8244544912489,28.178796237898187,24.925926922598187,22.99877759041055,22.65268583640715,22.709790114480164,22.667041014869728,27.356687984351044,28.599425219370556,32.22322580432453,35.6034239790622,39.50110645175021,40.32506333688676,44.58750440979497,44.85426962935541,44.78384041990164,41.02355500320848,36.70945344505949,35.69056830322812,32.91821787513934,30.291062056369892,31.982760408008453,32.35491787369993,36.37493385978348,33.551794978160544,32.76261235275125,35.87819410600955,33.812300079654705,31.57921672779687,30.89762019841346,31.96765065574579,28.797233489765453,31.47806797623349,28.936100040440426,33.51540164727475,30.830916094590034,30.40017351066083,32.753426209863576,31.024040581909443,33.759222643771885,33.340673341185294,35.64402486685312,35.7631584952092,36.50777540651926,35.544954153694015,39.70378123568166,41.42152397263561,39.601851852375354,42.8640637736045,44.6155264109683,42.72758326641604,38.793675561029104,39.39822315250846,36.88613227067228,40.03400973352412,40.619406063515704,40.695305749190865,41.487951910416015,38.527458002653646,44.00068212099116,44.10969167570921,45.80629841923309,44.66134431680747,42.15621778359324,46.96416174661702,49.42322965997935,46.443182968158574,48.35197858924874,46.199296662351784,51.10965085985202,47.601394402355496,50.60689951209204,50.776896961421436,48.81816889829171,48.79485956903366,47.27028597948346,48.09127999140619,48.862141779372216,44.27863637271769,45.91732328459829,43.70385607826357,41.75260314237625,44.787564774135404,42.58018992899603,38.932407304980075,40.65660229776751,42.75106436341685,38.19496089146196,36.14661483531552,40.026727786024395,40.608014297715684,34.79564602556443,36.09702041922386,38.55297359891734,34.93226757498114,32.41067770949667,36.47609226611747,37.480371908261574,41.474495601725145,43.04983502941733,43.18499471506258,45.91537042206355,50.764645617401456,53.2516040017591,55.93581494844674,56.70754877010761,54.994167806326814,57.043314817662655,54.21164885458163,58.48655972045768,57.90413578346526,51.855154700841396,54.16595755285236,57.919073067182175,54.12843951869432,51.60093592368889,54.56959416512624,55.15021768068117,51.029493662462016,49.514789179566,46.63141859208107,47.78134585990243,50.79325337132011,49.76902593743728,50.90077556391504,52.991911738489016,49.697506855802075,46.89369240382066,48.60347020635993,47.82145711800844,43.384883245166,43.289382365213626,44.25772411553562,41.5555630356236,39.65347299298436,44.27502343041193,43.465860185965944,38.85534821554974,41.499992862920436,45.46277163864108,45.409698661402174,48.393347520444586,47.63636855837879,51.685261869683664,50.270666789594465,45.14285947253203,48.968131845328855,50.71700315693405,47.54470475167507,46.44997684108718,52.404695243236155,51.2413252612207,46.16656239251135,48.60684913205322,53.26741230672573,51.03428337178867,47.27024252453957,42.478510054394086,46.066612191289366,41.56836801334999,42.43940759163374,37.16945925750781,37.41490165830237,32.689267705635636,32.47870804410564,34.4748183994189,37.52648238959344,38.18250667811229,39.79331726855825,35.55310469985764,38.19006742334239,33.472584054832225,32.84853656331647,35.83718926212781,37.790915443984865,36.01890444088579,32.107418228005045,33.314081364725055,33.7948258327178,29.41380809307583,27.871561173988447,31.151336245593907,30.847626821910918,28.89569749555384,30.403936597418973,31.38840849461478],[25.34647105258755,25.347888217278957,27.304814003990213,21.76134882393232,25.621792386249304,23.2156700494318,23.34804277476002,26.387699772609054,22.720038190407497,22.3754862724881,23.205331435829606,26.854248468655776,27.042233491883103,22.916563596928725,27.190565480535817,29.948890768344047,28.408165929922728,31.36871892619468,32.18821562608082,36.072491989397825,38.27900556393966,42.6391039525268,42.15272017675583,41.445146461993794,39.297340830305174,35.13246670400427,34.93712344555109,31.580942833762744,32.77888499349948,33.468345108785414,34.1685494383127,35.828163865870415,38.399408673369926,41.36551820934234,40.08790862451655,37.94097089233405,38.65629496557858,38.430028260353986,38.68166188123896,45.01602191000319,40.8776399119507,40.435796671934,44.88690981721894,44.570096086984215,45.91459521497246,45.890789063070116,49.94374565166223,48.857752386373974,45.92370913973106,50.62005858728274,52.99108342730241,53.41090535534857,54.468549236647455,49.143079550644444,53.50443166154805,54.54512271410561,49.98128710987928,49.96988120512442,54.20268357047461,53.14789419254061,49.17407738389745,49.88541309946891,48.037504444870585,48.39966316075719,46.33537741013022,43.55323242211912,39.1356864912736,36.69133860114968,32.640930904663726,30.47069014568756,28.550793555567033,29.288148399793187,32.525331905699595,36.35468330618597,37.025219544128404,42.99864496090121,43.313260066959124,46.36851129709036,46.355747207531,48.16292302813664,47.331006704045244,47.63527100432851,46.4851993783731,47.61226121258414,44.44354036714705,42.27119545146226,42.72991646965278,43.75014147370741,41.759109825668745,44.380435854463,40.85342951135437,42.37467731820415,39.14880733245864,37.84565077013663,33.523313912336825,32.72427349565007,28.785510886086993,33.56710711471653,32.25153984084314,34.99094759002622,36.94017138838351,38.008128348819,39.397525886884836,39.12431286237987,42.64294174030149,38.86212531420147,42.366605043609226,41.91557141137679,38.38238381223917,37.709401901829246,32.97901414507878,31.930125951815842,27.68489732967556,27.245008141298413,25.22033370205844,24.80026756281287,26.67745133814442,26.577559868910495,28.75064180553019,27.8395565272777,24.339931069835448,22.46262117696138,20.905075064265283,21.089935999236356,21.270796064582104,25.284483563113877,26.995685700700506,30.30807874524363,33.63040871567679,37.80274864222596,37.88607441331539,42.358117497518116,42.40227391923769,42.95716815140035,38.65862560140093,34.51663486201368,32.77141973498014,30.11930653947109,27.35441173850226,29.521695599994704,29.456890968514998,33.8450879971157,31.5783786775897,30.86943596900515,34.3516774499855,32.89966664212458,30.426944693086952,30.34062974680249,31.41135935998256,28.668986612648578,31.49208730993577,29.805720664993068,34.66350981691342,32.733754081126094,32.50114799891878,34.2861450732904,32.12363448623905,34.29454218665888,33.78720817530835,35.26702366165672,34.63354245810478,35.77395032459068,33.86440313995798,38.2409442838153,39.23486578772731,36.70921845008657,40.00944234121313,41.274484065088515,39.276085978139356,35.450569155924214,36.43921845444644,34.304758169146105,38.02002233446183,39.13557881265991,39.75537626565569,41.0147930489726,38.519598111210975,44.09633569493773,43.59639448983909,45.15296001191946,43.3006391019705,40.93772214859892,45.28078555690128,47.445142633587785,44.38110504856098,46.550905925634204,44.631799651312654,49.28730616058771,45.33323154270898,48.138770101727964,47.96955737255741,46.24296503328031,45.92626384263236,44.407238352045894,45.24775644552613,45.864377490540605,41.29004549973216,43.16761521868839,40.92079021172548,39.5294845026501,42.57255797361408,40.90926841461838,37.05713609107961,38.27978818466458,40.81335242421135,36.53689773940528,33.66535408264229,37.76507129570602,39.13634542650819,33.07254292280362,33.97704228151504,36.83034316526131,33.69999343611672,30.515363186117256,34.450441660970185,35.01742161098053,39.40577194739241,40.0035849289981,40.54536219562754,43.60945620821157,48.29136669315083,51.107292376362864,53.520117430086266,54.6562646527257,52.90219133421625,55.10813165728441,52.43009077368426,56.439927474302344,55.5746646240056,49.481020206388045,51.90227272703276,55.26897083908407,51.25763192613807,48.84161067241118,51.75904106589805,51.8798279592002,47.71543403595117,46.378873453583616,43.779013211937155,45.50549510148606,48.67291531135887,47.9584153105734,49.52558405919095,51.963793556623344,48.88279247555197,45.619420893967465,47.55593994230024,47.305257331803396,42.697421477273096,42.21769581935084,43.705280351956326,41.26459636723562,38.83687058234218,43.44827434808437,43.1014167378908,38.48877747448382,40.53783728406103,44.54123028422109,44.050105905118954,47.065874275139706,46.24125048066268,50.04421780816289,48.48735602537189,43.1827169603633,46.89156973066048,48.35910743059568,45.07211362009667,43.804143144556434,49.654069884183706,48.21328001275206,43.015223667530876,45.41061207346569,49.93802601673494,47.48872998216714,43.632372278265365,38.85044344966264,42.07277640629855,37.48442293976483,38.829877953205546,33.607486384561746,34.35101568331165,29.969420041722433,29.016055597249537,30.904071831176477,33.61217076235552,34.45711402301069,36.6060544787913,32.703301019879504,35.65007625801336,31.17459817391573,30.93850901586703,34.64423582613487,36.843753175247606,35.65655239766118,31.2203147066806,32.34574590942497,33.60053781753392,29.370387330681236,27.089222181298574,30.84333962663391,31.32075083540943,29.63987219756956,31.45585909921794,32.660471547077655],[24.102276758020004,24.528383535794262,27.031652404811762,22.13750493998756,26.912246177898396,24.861813941765973,25.9655783043262,29.23280052772152,26.10659268762381,26.59519910292894,27.734889064229154,31.061915476525346,31.607240938150387,27.880602163061692,32.35913701490161,34.980392456145125,33.51822671649707,36.79249363977947,37.769852433969895,41.47551539885561,43.80356433178402,48.059793897710804,47.61282700773783,46.734165806603635,44.49128384890699,40.43957416088166,40.02075684401128,36.632587327662364,37.903990791631685,38.37559370128189,39.523072023254514,40.69469102817318,43.366797234940655,46.604207060204885,45.21056771613025,43.17843114873684,43.50324020767626,43.42257886544925,43.4687038954129,49.687700423912005,45.59297290086902,45.559016703328155,50.004629811796114,49.462541315272745,50.87016121318894,50.59586723109016,54.705488747687895,53.67602449663718,50.41524658710342,54.991855457167006,57.53954013979834,57.84555369629669,59.1169440321313,53.7637382250826,58.171294895520866,59.490955091714994,54.98472855074905,55.09463460330785,59.400019829713344,58.305150056781,54.533291724498646,55.42992567084174,53.615544572962,54.123713569281485,51.93530768024103,49.07165066949277,44.859124944360325,42.35873108287922,38.440120311082225,36.24594904848996,34.423749621869945,35.26611572261898,38.430113891475216,42.26978830647417,42.77777353469955,48.79828820741417,48.95675791006878,51.95544437014958,51.797761160456716,53.49496632118683,52.392920989703676,52.47126431080235,51.03178407487313,51.95761679860779,48.83752824178797,46.91284595403417,47.7444678398762,48.69890008309483,47.079665683110434,49.729959188023976,46.37148495557736,48.033982902795,44.70320439366799,43.17922566936369,38.76162526716053,37.958663034476416,33.93516751914649,38.36789924212677,36.68359912365961,38.82353536450919,41.22588354116317,41.62643167588335,43.46118489690782,42.552196307148705,45.97995623103121,41.82278890527535,44.9144880240825,44.17120975648353,40.29019156251157,39.999567262098644,35.18269891199767,34.90089199079715,30.85944720516744,30.81538217140852,29.55163937499126,29.184306499276147,31.542232055050874,31.36905409094184,34.12410103135722,33.248495038159795,29.740903850746417,27.618786604333,25.621424457305576,25.342207555537314,24.91903846698724,28.46105785668629,29.3647939990753,32.86226101306664,35.853171294647574,40.40482233878158,39.87191646938465,44.35677833585987,44.76698028189182,45.69832469931488,41.355759630763025,37.45830717999888,34.95058533805693,33.00766632349093,30.616875609581733,33.29279662484384,33.46306005268222,38.18633347191428,36.25832359894544,35.316991832801804,38.93683186076853,37.56644541931775,34.86303292600688,34.62975717786238,35.239420393850814,32.31074361530272,34.566349715027435,32.93025991358737,37.50868474075238,35.26923328183647,35.765077462570844,37.778226945754035,35.95726656215002,37.780785905918904,37.86629270790918,38.798311399016185,38.3710070650463,40.11996677884329,37.94360967554379,42.4741939667861,43.01021762722049,40.158596790346536,43.118262554455214,44.118283748150425,41.69717057917245,38.157544324671406,39.2104093507717,37.55063778502117,41.563714630286015,42.8728822221434,43.75774550038022,44.92830736985468,42.800047373115845,48.26092452780025,47.810359896580806,49.058040020204864,47.09639656772508,44.311468406143696,48.493491643434574,50.629702594129434,47.725593917836626,50.41782660230229,48.88689466435354,53.423587680854055,49.458158337653245,51.86825433907969,51.354628493149235,49.58048372163385,48.76610582310765,46.96916600698205,47.50548520922833,47.65399458172843,42.93757906851174,44.542574783801065,41.81834891632005,40.74382063100777,43.191973938526665,41.75294156546943,38.011473448297096,38.50924828754573,40.86281841473747,36.737329171161484,33.432687155465636,37.15872798532721,38.666530471397685,32.47217831596171,32.81962030208797,35.48260680904707,32.622471930590415,28.920039178707956,32.36950223454342,33.127864505216905,37.36138409294337,38.045236164005736,39.085027576100785,41.9959601637732,46.83176188577238,49.39822473682663,52.13750006113684,53.70956832014664,52.362812431576906,54.92802700027609,52.713903395427515,56.7236258929939,55.402020017048166,49.528540722458374,52.38973820655007,55.48173669471865,51.24200481201654,49.240770799105,52.46326402827332,52.020926459116424,47.73686485995681,47.21445815969872,44.27006488842158,46.70135800105045,49.671670826678344,48.6242750926818,50.55136375515347,52.73568772117625,50.134131077853674,46.64855208517874,48.025483281337856,48.115360484879176,43.70281684938463,42.59061615057253,43.897186901013406,41.53607527598586,38.77781457098262,43.02516371899575,42.62041881483127,37.884804945593984,39.52964149665926,43.43431566331197,43.00370831711593,46.3688860546806,46.03736685955923,49.69404959086591,47.561617746845734,42.507026629809765,46.577830528188116,47.52949363598956,44.0687960751386,43.358065921108334,49.029639714853865,47.01934992681038,42.05626391321675,44.96954350746185,49.07925699490657,46.17660009935959,42.461986636947756,37.65044881204782,40.41902063224235,35.67289968563468,36.70828096815049,31.790571038189157,33.1105008230361,28.942279175118085,27.58127178580803,29.9676348421525,32.5847694336596,34.071694328720554,36.40292935652163,33.2253807950065,36.68246951555531,32.67058820969669,31.751965511150594,35.95335243999318,37.75278736554499,37.126859246731414,32.556200229777644,32.77968551668442,34.23409017273085,30.836880863061744,27.637108516618447,30.73998703557661,31.672491731675837,30.526481379488384,32.7054874556066,34.18649046646461],[21.629117849090207,21.33839709225821,23.339958362240164,17.790527881296327,22.216325830327154,20.984617042851752,21.995431610370705,25.716916747787618,23.035980812713596,23.337893148990567,25.0703123408937,28.540650296050494,28.38947934752916,24.940694167801706,29.788570377982502,32.07668745488046,30.166197179992995,33.64471580076407,34.55531207626252,37.9919246353959,40.4091993745418,44.467110277082995,44.110145206828655,43.050416211704324,40.63077336107136,36.731482038860335,36.07274834495013,32.76660294818668,34.34052040751749,34.95088676363929,36.85119766350211,37.732173322002005,40.812045934663686,44.000844941899665,42.1786147843959,39.93851711945093,39.99610705074417,39.59785858335442,39.3447180901697,45.41045159659846,41.25610198946627,41.62562266899488,46.03752633724952,45.23779904558828,46.719186857382304,46.269514364625145,50.41026665711296,49.374754040426325,45.873628635673874,50.37775676364175,53.012866005960326,53.242403114029415,54.67416508868848,49.349344989743784,53.85089124185694,55.33466439136753,50.886884683036605,51.24223503859381,55.572989149833795,54.330284269745,50.8350418269,52.07397744666412,50.444073447051785,51.096524306910844,48.629353940670725,45.71887903044198,41.8766642161393,39.44949092679048,35.74404903166391,33.83068456082878,32.08828907204316,33.44030948413196,36.43865236426867,39.989552069878606,40.322235849050585,46.478305003309735,46.09739514398172,49.2552708294101,48.70937554230159,50.06878727792375,48.825341729393806,48.52485220212661,47.100018791728374,47.693048908242396,44.48287597883938,42.882881325020406,43.951343924162316,45.169747771248296,43.7752274940484,46.862563311582136,43.729452848924716,45.83598794068233,42.59795269131822,41.0630244951683,36.494490648037036,36.19957321194248,31.976884340414422,36.05027286665601,34.19511175051637,36.46500723908631,38.302887598732596,38.38758062400151,39.911004949791604,38.71037653948027,41.70490007034392,37.47535584022315,40.51688165549337,39.51673222518991,35.69155779485484,35.66169049612382,30.83615576276137,30.47305882183216,26.684438150828928,26.363714375176926,25.539619617549416,24.894738592973205,27.565930072534986,27.197739352505526,30.57734279223939,29.876965695138477,26.377558104691673,24.133161341407945,21.539224745802564,21.086388667492592,20.6444545854451,23.711558191091413,24.85459383042655,28.10135722403914,31.05791917923662,35.6467260710678,34.859786004935486,39.401496020926025,39.677893913278844,40.82475160897576,36.30502224703013,32.50697098312962,29.779711445994696,27.904808302146584,25.575114951085062,28.449552890671423,28.719646018225557,33.6209459386262,31.93374264997942,30.8460399207501,34.565930399469785,33.432413167049305,30.596440665251542,30.58862638133095,31.12374308852237,28.506444550388107,30.836879448138856,29.825182500000185,34.55781613543236,33.04060581008248,33.507947866,34.99519014109713,32.86589495389345,34.28643697711903,34.3013246347826,34.711333816330644,33.9039123700218,35.91067585407504,33.33332934396914,37.92791105246063,38.1341200674151,35.107679926745675,37.967318304925016,38.87764449053952,36.392540020658736,32.906186203384976,34.013466328654665,32.50832282578946,36.689900836377625,38.19968368209378,39.34036703969261,40.71317919775964,38.90213146971397,44.33951337177424,43.58104318925298,44.70819540377948,42.440967356290614,39.70833833534959,43.65094590641074,45.665111696586116,42.763775893279174,45.608302884370985,44.267543062932916,48.67838828449431,44.68504044338495,46.89887193134942,46.25187150130039,44.49523531839789,43.55568913319329,41.74573085895726,42.28845231206546,42.43418458072423,37.75604226172628,39.490965711579975,36.88518687597145,35.988896241452366,38.615619051962675,37.41115673729853,33.54669802173717,34.024267263269316,36.68907686791234,32.71001650902803,29.126991006639642,33.13198890467127,35.06615863216211,28.845357532573125,29.2286235793499,32.249008405009015,29.624955531443014,25.818191491083006,29.449861654067966,29.76721317141554,34.33017308925121,34.35313255108878,35.297644055837274,38.487303778552935,43.10357262194343,46.02042723528331,48.37720365685865,49.9009161389599,48.31699490073575,50.78600732234845,48.46045772993285,52.30778856591478,51.03989384416082,45.06436538731779,47.794518900134506,50.80021912337973,46.561253698224135,44.45329139482028,47.54413871783771,47.12118216627079,42.871767590351574,42.145808089267234,39.425754480788456,41.89073551382083,44.98167956242382,44.22076885742699,46.257001193402374,48.737722301181826,46.10883851382191,42.44076288477465,44.17353319323937,44.476217978920886,39.90959238815207,38.81132565677561,40.55312269898233,38.37426385081891,35.427295553592366,39.80972468919667,39.7905677458583,35.19071953078101,36.59288047826076,40.54578486853516,39.7644516543743,42.92198363206527,42.28624870719541,45.835642279152516,43.934706879654264,38.66236870883077,42.45479446507992,43.50373333332449,40.08805844160858,38.999841397192604,44.685563639976515,42.84659162356471,37.71021468653393,40.34651211782234,44.5951279909241,41.848773142705454,38.024695475222494,33.23633391930914,36.13618420076266,31.45627595520402,32.86057015817055,27.774328926695652,28.992245957657744,24.935916034833514,23.39909458344469,25.455064295649017,27.980429079826667,29.23797530534703,31.701539621653694,28.426653229193906,31.85149104431831,27.881858409002525,27.390268958440437,31.814324989570807,33.89222737505565,33.47890435459414,28.66981009000472,29.18011355137032,31.094079686741477,27.55434164846157,24.249914076237857,27.952586985063125,29.26120510416069,28.119772015234393,30.342599339943213,31.865710190389603],[24.087199239988916,23.586344585135926,25.4772762479074,19.93708551749495,24.25421465236423,24.164494709572672,25.351729280284943,29.39744968843574,27.108237670901538,27.2512997958586,29.24957201257242,32.8120208598162,32.19940256084129,28.813397551669993,33.75443272984919,35.89947817320705,33.5679535169344,36.922550974850914,37.348213460507914,40.76732952931816,42.92318366491269,46.83852180572536,46.24088718381602,44.84718705030286,42.59481260191696,38.90904762041893,38.41951426306169,35.43860778905,37.46085977635998,38.404122743944,40.60596302183804,41.562582309487986,44.83327075110507,47.85413740766322,45.817650656952516,43.31472711776864,43.38107858431727,42.4683564172045,41.900144587832116,47.76356010747137,43.26272527015386,43.97015830342337,48.30474475754175,47.10987262117753,48.32825163987266,47.501897475774506,51.67475218887919,51.006942911770174,47.24709935257134,51.50667956438653,54.515140025003134,54.809143988041534,56.52718122112181,51.37145101768585,56.11535159091646,57.546869539142136,53.09918450301919,53.86576430116499,58.11578974279145,56.4964545163463,53.19768543356133,54.7601523099848,53.41262062744629,53.84047755060692,51.16271187545881,48.4966833399328,44.685312706464686,42.585175346579796,38.77179406930983,37.26863767991015,35.32743605238974,36.661013242376235,39.870301711436,43.133716596634656,43.75474669074186,49.904930376893674,49.34418130163613,52.7311326590702,52.008677431305216,53.10240121005188,51.97222891606469,51.35028260427438,50.129263482397114,50.354889598169564,46.963766987581224,45.743648253248736,46.842184924737275,48.45142516378105,46.9879886987043,50.45436358208022,47.33879956666957,49.553983490570936,46.476398539063524,45.1081788152097,40.54693097165198,40.438816017009586,36.21205185358691,40.260702369852275,38.417976078372696,40.775715725103815,42.29558034752632,42.20176388960145,43.4768319261372,42.03849697349735,44.554309551097745,40.23668206793379,43.095480515091126,41.677061862432424,37.847614647761496,38.29046096180476,33.5044059467249,33.22942463203721,29.817241609770285,29.14519023467399,28.69386924730554,27.55512010682014,30.28545718771111,29.31389115298883,32.92147232283689,32.81571226422675,29.298199635892868,27.317658908945205,24.163773577096546,23.946954027588127,23.7536134130882,26.101133990023527,27.502293145332562,30.35555257029463,33.11361958225696,37.793858711541866,36.35792233282753,40.956934411712034,41.05881180185291,42.73510376536614,37.87280354199182,34.36067900606326,31.029308702001682,29.390661057699063,27.038606422977963,30.18543190849547,29.929349426447757,34.9110592677139,33.75241957212447,32.86958128421048,36.734468763150986,36.11105192590379,33.24910922926564,33.681642845032265,34.240868758071606,31.982673277306887,34.30862967099509,33.75713043946306,38.48302606306769,37.26836561349587,37.84417530927465,39.09861923486741,36.82283010853031,37.94648490477692,37.8924046665299,37.841555829773014,36.54111267000065,38.70635997354746,35.52268571300576,40.12784566142634,39.76210543698548,36.16580412790753,39.00888675018921,39.383917719433036,36.85751280222435,33.603449418564765,35.084031704464415,33.997151043876165,38.54174844278377,40.43727805785902,41.941224350912314,43.61681928629802,42.108732557099756,47.51722336998869,46.370416815129104,47.407865760238614,44.66780136664176,42.12981081353939,45.619926098791765,47.34470105202969,44.42514420905066,47.39142222111455,46.217763235500385,50.33594520418465,45.99141165120705,48.04433936714107,47.1147825378945,45.63312637340011,44.45375230382225,42.69323974233529,43.23250922803594,43.18849337405707,38.61652955769585,40.500977499525085,37.85184728156058,37.53599985618396,39.986521751504995,39.29662484983791,35.40714440760444,35.296153047383164,38.20626547244845,34.60306870690151,30.359631626171613,34.306794601662176,36.84824509074834,30.613845452370914,30.485256253288718,33.65235712024468,31.574767032450858,27.253533334322317,30.437311835889453,30.441002083062003,35.1390382181685,34.312795021221355,35.80173661472277,39.15344404485121,43.58643496776244,46.63865593685303,48.846323736726276,50.7904780728095,49.31499938935356,51.9688823105121,49.91149812789571,53.489866041743035,51.89916652333272,46.03460769805707,48.91023519693439,51.4762138909548,47.04832357251678,45.17354643447559,48.22312832832221,47.25300921590702,43.00688056373486,42.64017148688826,40.18402549353741,43.240909478900164,46.366595863358754,45.80719574348002,48.206991054390855,50.84461644157983,48.498079461269135,44.53980395239218,46.284262684882236,47.00843626916122,42.46173924244567,40.99743792242434,43.00113210039295,41.05289483858867,37.76744468032784,41.9342590000655,42.1938102899514,37.66854142187857,38.52967311655077,42.38508380372791,41.33484852973354,44.55642437372158,44.02141180487182,47.28178010805115,45.140253648194935,39.91364469709602,43.63123565010263,44.27966258478202,40.779722594155565,39.72695065325142,45.15552948482348,42.91994720721018,37.83873596635855,40.52698043685723,44.449508742026055,41.38391690464849,37.57818769577196,32.89763670273429,35.15889922016191,30.404506447224957,32.20208156509732,27.43906974423933,29.362410941385228,25.893407068194858,23.511283651254658,25.530481027353336,27.523090992001027,29.165395892791476,32.17799146936373,29.538792257110234,33.22224949318958,29.707011025414683,29.43370949323272,34.30792530511444,36.412489387300226,36.48641682247497,31.49450355084293,31.748741384369037,34.115601783472094,30.945443692574422,27.192856166310534,30.84442646290788,32.62866644394097,31.772811476861605,34.122086794048876,35.72821653414229],[21.28845187985597,20.584591749373356,22.41600609950751,17.214785917431726,21.743564361871485,22.269414578600923,23.97220530214276,28.182083939584142,26.533882360026894,27.142894675379093,29.51900715501615,32.81920051327155,32.1904150220454,29.32223768359737,34.43552570834552,36.2933782751376,33.9639327843449,37.637184851949705,38.34527426450157,41.40177174266613,43.792167267301885,47.50618763841437,47.12425676160953,45.661517411946726,43.171180404139676,39.64383689852905,38.75505462208915,35.72888684235027,37.75513501844127,38.47392949495413,41.30131093088327,41.69059402623904,45.16814748249625,48.37354923949275,46.08875468731403,43.67870221336914,43.285304267096436,42.50047058963788,41.72591530294257,47.38432102610681,43.11082957785911,44.23708629947054,48.512816654729825,47.170041391442275,48.59788437373348,47.649152360120105,51.81015731480903,51.01066954065924,47.0055838309896,51.17126267106287,54.16306828192183,54.28175962569779,56.128307644968906,50.956301368244546,55.636407583194654,57.4054542230699,53.08956162609281,53.921249419827,58.240426095080764,56.68082469366138,53.670439814090344,55.43831188108856,54.122867357919276,54.861745652859945,52.02841836232571,49.185076167164496,45.80608543039787,43.588728355263676,40.11513508966381,38.60357724593809,36.90227976700611,38.609799661449415,41.52486135290562,44.711879565989534,44.961210998511476,51.17320328851281,50.22836431594248,53.54375900929149,52.54136335216586,53.4322684568937,51.96916884007616,51.0670474733013,49.57015462973614,49.56313717501198,46.27435506811087,45.323763532029616,46.830211127638194,48.3792459287384,47.3856078890247,50.9573489980357,48.137271559013236,50.6728203246889,47.542123246765335,45.96183910242397,41.297843363959,41.430635661141054,37.09512930873309,40.63293765425071,38.47032731806305,40.44182868066086,41.97768373168815,41.280168907163564,42.72161823812713,40.74439111805511,43.01579102661981,38.48442092112547,41.00206160377706,39.34785080579821,35.372351767895225,36.1319446875528,31.395925992825344,31.623289636869856,28.54073304030436,28.122036413156973,28.398137658389846,27.362912350741837,30.50702767384021,29.661237072429323,33.8748739799851,33.628219301661375,30.22654233669757,27.963646695199056,24.538044345198504,23.80036173645614,23.0867077808039,24.858873214336835,25.64656102849473,28.4646567292135,30.903366857866008,35.748824480659835,33.90066574892627,38.433407436197385,38.796433444404414,40.6973107020256,35.905305986847424,32.64666219838404,28.85709133442346,27.839065954922596,25.960120535625016,29.411914373399465,29.662372779422842,34.8318806884791,33.894105560706784,32.66511574611545,36.52655828738484,35.919168845512516,32.89203284788355,33.17662354936259,33.32498867700178,31.09039412876774,32.9889533219253,32.764883319865476,37.273808701925695,36.281214316678295,37.2616854629567,38.36495962261746,36.220323844636624,36.90949992417578,37.24859163554364,36.62139838724163,35.42944642432645,38.110729152377225,34.78275710134142,39.43099423837417,38.72567255243153,35.07698391938232,37.49845902042517,37.81270376849457,34.94649856506463,31.965135533629613,33.3406416199112,32.62170133872687,37.25495525415161,39.24333970774687,40.95146130510669,42.54752380045059,41.437860909958424,46.661497763086906,45.51240231678897,46.252949670668144,43.45180684027001,40.59553822821796,43.90183665702844,45.60596917793919,42.872250424300006,46.26253392800853,45.478250605924465,49.479569306231376,45.33244022797012,46.96500476492771,45.79992637231559,44.1903988108287,42.63252321836818,40.64014630396739,40.92332489678908,40.56665571879835,35.93969663530668,37.60730539786841,34.71779084147875,34.60508247944581,36.72931003243243,36.24335858088758,32.43875159999506,31.91604959318208,34.79798438210733,31.393429837581618,26.873154593956617,30.671168558325746,33.44113835041309,27.24075111888862,26.832878116004238,30.038548700702812,28.277126779320607,23.722028234462236,26.694444488219315,26.546507545173124,31.28644623032964,30.217671649030976,31.849924647183443,35.222769089495095,39.60678412516159,42.67737287378856,44.86459341467707,46.94891174304309,45.57356571254523,48.341432206856915,46.482308429365425,49.994664563606015,48.21912571529681,42.463456659070744,45.50354547671201,47.92025655672562,43.41840440609686,41.72975624247945,44.90928291027389,43.70969677814623,39.42863908075745,39.44927818513762,36.81984740866045,40.219418403768756,43.22438586014967,42.56119397092308,45.16624480165443,47.750414150457964,45.678679814594396,41.56961840974174,43.13182334101159,44.12668616217793,39.67849155981929,37.891366128135026,39.98070626601974,38.198178249556754,34.690997160296554,38.67466567869488,39.107076043595015,34.671089485151356,35.172609789876354,38.954188412602655,37.76239767172401,41.016257711589795,40.59036250589008,43.705327931958216,41.40911218993671,36.25392525057611,40.00443701459524,40.44999649575327,36.914039580785435,36.00241441027327,41.327955393057344,38.928120226250186,33.924512512309754,36.76922486619413,40.54514190696742,37.369432766411975,33.61255607213649,28.93119381554197,31.118547332824114,26.335873206485594,28.04727457561268,23.34762951672784,25.44961888428559,22.193150747886783,19.566985110230497,21.70141088126598,23.65415080528249,25.52687115442753,28.574108680771445,26.34001966113083,30.243138278667345,27.106063403711342,26.557853325369397,31.700507664991115,33.647250962624874,34.149127136459946,29.093542258536317,28.949903252865916,31.6153898946616,28.94856086631756,24.73529565416955,28.22844707116659,30.436507836695075,29.907994809038524,32.41657414119728,34.16833789489139],[20.93138909678912,19.5216466959413,20.64710026798596,14.68486421008344,18.379880747789567,19.67371105181885,20.940860329147522,25.38182467315832,24.009945349187404,24.21054152084304,26.904559558779894,30.29946448639607,29.03482920489509,26.37427447172543,31.566585052533753,33.158062017939876,30.488546728997576,34.15454889680763,34.73492300402183,37.57893318088441,39.96334394098861,43.513923204438306,43.17756422378793,41.6241579838684,39.05508324436831,35.67017960504972,34.665789940444355,31.772209365766397,34.017438794445944,34.91268801222032,38.14886357118167,38.459464020453346,42.1598710250528,45.20358496750631,42.66472552940983,40.08565880678005,39.6103438077444,38.520060407978285,37.56176120382514,43.0889100838629,38.76015925102313,40.09325237351105,44.31014606543254,42.83189922170465,44.28255429422008,43.26423132851776,47.417406007495025,46.60910483491855,42.52346011691145,46.6490607059262,49.65825598997716,49.76847673926289,51.67704305147526,46.54950195416856,51.288008497140595,53.08109166098027,48.80311667862481,49.788010490567295,54.08160724488134,52.42827430129369,49.57489082802981,51.53522642163112,50.36483353169048,51.152193846888615,48.16531177326066,45.34476490528913,42.221293127309245,40.11366419349776,36.81953057063052,35.5683148196507,33.9319768370657,35.9384378577863,38.69970228927519,41.611148713617936,41.78283405869831,47.992606510146025,46.716080394128646,50.13447660625706,48.90209197263888,49.56569415509954,48.096229177883004,46.97670527284851,45.59757800991032,45.38932936223467,42.01817231358558,41.265990825327044,42.8301122299226,44.60226090575541,43.67089198735165,47.5294306735205,44.85329190480632,47.63195756498295,44.64166092838791,43.14487399588959,38.48063334543828,38.970522867143345,34.617625295926246,37.920882222684675,35.78294876269655,37.99532082767076,38.9531826240557,38.23476942578439,39.27305072528771,37.28780862038468,39.2113901182108,34.77085629934758,37.37832466453071,35.60570418805629,31.813786071523865,32.67283740593278,27.991154328484193,27.88271947500701,25.024949480183587,24.20889369642605,24.691348159924008,23.37195281544009,26.60525798635868,25.58148506424175,30.114241893781628,30.039128911331293,26.736138378956326,24.523706825447455,20.744035658515532,20.00065842890894,19.476814737059183,20.788103175682267,22.091405589432537,24.546142818419796,27.05079171583408,31.791009041859045,29.90929635916001,34.50463536723042,34.603213210215884,36.57744357032067,31.620611203760838,28.37542455248544,24.597712147995843,23.407089315886473,21.465595848990475,24.968385935802168,25.20687060477822,30.414210721971298,29.62738504777447,28.359459960832655,32.240376868835476,31.845500668338108,28.80934929437432,29.356683481573103,29.58111323344813,27.726338602128177,29.833060764155338,30.11537545444369,34.752871206784704,34.41290585252223,35.11709576654642,35.7470946016397,33.29725397605157,33.76075445643732,33.848862669689645,32.95929572595184,31.36218577151785,34.05513608546126,30.45751294704124,35.08767792047889,34.22039498005672,30.491823271236495,32.9510298109953,33.258198147457485,30.46654998591522,27.417151992499782,28.852786025726576,28.13571218557605,32.84387228998304,34.95844582053565,36.804143189516225,38.59893326850464,37.64489025689743,42.84643020703373,41.43200224812644,42.17336149982941,39.1508961617707,36.50042023333501,39.640162030790414,41.24257328735732,38.4493491027755,41.78838539203131,41.03518031587668,44.9620776201213,40.77799471425598,42.38000167230838,41.213992625582506,39.643823447408025,38.14704712959905,36.24188036220563,36.64957490242611,36.46612733145003,31.905452037662034,33.81572586596405,31.215821198960086,31.154295432219953,33.673205802725086,33.30925562575101,29.363404081508026,29.103163252817243,32.326306582359145,29.008120496007585,24.437647085054607,28.619143820152182,31.664630460483952,25.566578731086526,25.430942550256415,28.96173472922407,27.290094932550478,22.975679415362496,26.245918628483647,25.670252845503526,30.663508706716474,29.057034972989864,30.364708362091793,33.99987888065972,38.1183165535363,41.5380963043779,43.295279194324166,45.14582719991801,43.41923228789294,45.95614485892425,43.822498509349955,47.205436056442544,45.661137594042025,39.733084250540614,42.487234453512194,44.94685799758868,40.53419731058299,38.580632940163724,41.52975124205382,40.571399963966684,36.35661089960369,35.85944727782455,33.569676809827406,36.73093948766875,39.92238342645896,39.631999798719605,42.18187830361619,45.092863884272944,42.81949736025907,38.66201216131893,40.72028660862464,41.741060615625045,37.12272612313991,35.60089139166893,38.08299070587926,36.41903652054584,32.932059291249516,37.129564019373944,37.85894754916387,33.61561038984383,34.106628521577385,37.92786654099442,36.468665385813395,39.397489147408585,38.538689214228434,41.61855367274931,39.7519220325462,34.34818092989306,37.70650986663201,38.44815136178515,35.036909710139156,33.57279413796066,38.980014698977484,36.97165439424258,31.72824359287397,34.10278898367276,38.18146458166695,35.34109091916631,31.428762904152567,26.78702114570395,29.29511801700431,24.666630190583813,26.857412939977227,21.91170733844146,23.629527320171523,20.429591918722902,17.84072449377598,19.365856421936257,21.245767166716995,22.59699770232567,25.72562492978282,23.102340954139983,26.782958639389157,23.525812447254733,23.671926445832217,28.797905345327763,31.11557144437617,31.584125818506617,26.436765372897955,26.869056225898102,29.790605080301944,26.7642469080632,22.872296815790293,27.00749197972296,29.278159480915434,28.570267011018284,30.93103683811046,32.597894544134],[22.734733607742665,21.638419255452252,22.9259030804638,16.67754746757627,20.23998519931508,20.459779859638108,21.124174171426233,25.31675246747751,23.139535212327985,22.86706940022458,25.1278349283704,28.811060355192744,27.656372268836115,24.399930157835165,29.448803333143744,31.384895515832795,28.79487332827441,32.192704353826066,32.617520924622,35.8669090602397,38.09946767565632,41.921278709825444,41.432938596126036,40.03945039331313,37.65270139553618,34.01367013532492,33.37252972407248,30.406726777234375,32.538474864224405,33.58666266295722,36.115987471999475,36.99479970196071,40.45438620791414,43.363516530550925,41.12225146727746,38.50384205327399,38.50308109532348,37.41859164116076,36.76779762211854,42.5951213938379,38.112926322594234,38.907862967216516,43.23022500174638,42.02103242631465,43.33874722763164,42.55960639701473,46.731897907227015,45.94463645186468,42.17896737529728,46.49417122923289,49.41186754339235,49.68701580272536,51.378613470865666,46.204182817608974,50.95252887717353,52.4139954199166,47.98613783928154,48.78337972460467,53.04186227094033,51.435440571042555,48.212389043235866,49.87612906780382,48.58858759491078,49.12981136644933,46.34489795981205,43.62310723078039,40.03101508643894,37.93861715256917,34.303974714131485,32.94479772909826,31.10269600640649,32.7728528445814,35.79074939786479,38.86909886249607,39.33648044427472,45.52401214738347,44.67119517573784,48.11545334144117,47.209260316834346,48.157555408710415,46.993917180195666,46.254537876045845,45.09929018173077,45.24292089589169,41.81073214191096,40.657587226702375,41.79036191577309,43.52138898682953,42.11761207685231,45.78276793029071,42.78992583161941,45.23470842995798,42.243596593268364,40.91270168943388,36.32394805301364,36.5373353659214,32.265115590889216,36.111797842941876,34.29022852641031,36.896046091079555,37.914597523139754,37.871572252868916,38.80758477865774,37.45258538354755,39.781629204152836,35.58736333029755,38.611215302059314,37.21811454912356,33.57936700096331,33.95434763735451,29.205316493717707,28.535452530969906,25.18867509843079,24.197596637294627,23.757088749051846,22.451642961371203,25.245756634809176,24.252720724509,28.118817258259075,28.02204333050412,24.55630458912489,22.540129318772532,19.144441902032334,18.91600597245937,18.91436422823782,21.131363036205403,23.037034379707407,25.670801436704863,28.582872040019463,33.11523173530354,31.886383056849606,36.51985475031856,36.40601847716842,37.969452854951285,33.05468062684251,29.44312399574212,26.375000067724784,24.4193056742718,21.93939567756404,25.019950272650174,24.86012045498557,29.869400468854472,28.66506891371968,27.703295262611633,31.57015373168992,31.00009448107126,28.13048436233155,28.71178365403165,29.37830855755931,27.382476059026278,29.96025472971633,29.767016528350798,34.65175090611235,34.00873218956973,34.26287008867401,35.10472249458449,32.54264990798117,33.54724230120385,33.237287557952065,33.09294306970871,31.52671465553373,33.623800327223904,30.35362079423297,34.95299449762062,34.63150759298903,31.138392020926975,34.06584211939124,34.6122932381167,32.2058039553245,28.790266665208392,30.214205545722002,28.953823316234573,33.452116184425954,35.34810661624393,36.865873215305655,38.65691427074747,37.18705684228435,42.60697584639446,41.307522009551604,42.3919396759932,39.57521360344627,37.1978698648793,40.677982641160824,42.39380415730804,39.410222444297546,42.263444023257655,41.04180948778443,45.195744763446534,40.901354374567696,43.003756667764435,42.176505275455376,40.65637379622479,39.63701753980171,37.963246744989526,38.63884982484725,38.840822794535,34.31598174180267,36.388975198863214,34.04728488727218,33.58695789370399,36.46935479119802,35.730034350481574,31.720639880176634,32.05351384927945,35.1965647349501,31.56020025518434,27.49246525067659,31.797937458492843,34.405642320822025,28.26923951465026,28.54253035071595,31.964087976070854,29.808878349139977,25.840553184395972,29.430464833058412,29.141061122744233,34.03643940070027,32.974725907899796,34.0094299824297,37.550659712817044,41.79338398774173,45.13368826297043,46.98311382208664,48.5810830298883,46.74596699224694,49.12418686107865,46.727241227979036,50.259350618157086,48.989309512887544,42.93783395948079,45.49139567144019,48.229663893058024,43.95531414451633,41.76242574268944,44.59773879783975,44.030166579345405,39.85881884234957,38.886696722340815,36.68102651260256,39.30718891993812,42.59420328767285,42.33016001003349,44.559060554493435,47.46170748123873,44.83367197369008,40.92181308733123,43.137399839133046,43.758292083917084,39.04253510851702,37.946695574801744,40.24515085606769,38.341403290154105,35.173949000150984,39.60854142754851,40.070187434447426,35.70207551426223,36.70592512341916,40.630926860848426,39.40523144378446,42.303914807471685,41.332405511699086,44.64392281295083,42.977063163294204,37.50993234908488,40.88044114756861,41.924893358564034,38.56987303655291,37.00057797204597,42.572210792112024,40.8225198529241,35.51715287439614,37.75182882780233,42.04414199447484,39.38973416628037,35.44758597925372,30.784518459601674,33.520513245162746,28.938362209020926,31.026985809782197,25.955763395561544,27.322263981885722,23.72386427199805,21.649390917499744,23.153797225791,25.24319939032352,26.287402996793187,29.17431229376695,25.974925718889512,29.338540461380887,25.550760934260733,25.875705686696204,30.573684281697833,33.02804004879636,32.90963123736231,27.88495658320594,28.777981745542114,31.250750761202415,27.60889764840545,24.301639203831776,28.58942575833941,30.306709031922534,29.19217679674742,31.36522729913221,32.862609387323914],[20.643783920670018,18.96967863694837,19.600016520616105,12.906768678461646,15.655220433307012,16.2495129135579,16.567612695352167,20.926637567455252,19.16470824270613,18.787965685654157,21.46857488339769,25.05064138370816,23.478393883476727,20.689987804380817,25.875369733903447,27.462277473650587,24.75451811402988,28.41190225774689,29.146612613683335,32.01124734267605,34.521351304083886,38.17313448340452,37.972960609319344,36.64717976952581,33.961813368104835,30.408566219615587,29.336431471118754,26.261768996719518,28.363906957174798,29.278099612780018,32.39245109948501,32.84558221203062,36.5339065311738,39.48537887750186,36.9839588625763,34.391153651216335,34.05967889293967,33.039442236916976,32.28149652548377,38.02635983202559,33.794747433816255,34.811977950828286,39.108333721025616,37.920098200829244,39.52368459015278,38.835909573913725,42.98192856367081,41.906070875339246,38.08330778345707,42.46517688319675,45.18318083831383,45.31866490797382,46.9742538891209,41.71969197007968,46.36246883163763,48.055417868544,43.71879852730696,44.4608806228621,48.78839459998399,47.33196524536602,44.28630186833612,46.055711466158826,44.7597680532579,45.62876493174525,42.73746944347292,39.80131003066198,36.656269253523504,34.419378422472654,31.198220417960655,29.86291662895821,28.331501714641046,30.499169519043456,33.08230160954425,36.00760010294688,36.0453721061345,42.264951265502454,41.00086887852039,44.38322213242418,43.21154266826904,43.99233886698187,42.58059230234696,41.67128312910601,40.360752775238666,40.40803983360719,37.039552161797936,35.987113249909505,37.37806350803357,39.07272504985188,38.01200174145781,41.802045730051994,39.086603461478035,41.87082801963331,38.89702677184166,37.441388093176116,32.794566578068526,33.384157457102916,29.049174387166033,32.39171279410195,30.41130577782565,32.99406278347081,33.63743092556627,33.35128296922192,34.129448589601,32.61296624630323,34.77423499326043,30.58845369622852,33.64653584165698,32.27113445867378,28.730873431097624,29.069957698377646,24.360395002116775,23.538921291268597,20.32685611646174,19.245795324285385,19.177083100232107,17.912243994215277,21.041265461689758,20.310838364459507,24.727099596893247,24.36942552868832,21.06850851834815,18.767922563943348,15.124060625789834,14.407443965270335,14.170244861851758,16.100122370540838,18.133689580700906,20.64787032609338,23.62527052912321,28.096501059354562,27.042155711921794,31.671068883703274,31.545457321269684,32.965316224879714,28.124106527693048,24.44309214955767,21.56010931757763,19.540706875892667,17.211748772839883,20.34996160506528,20.80816810837717,25.928351704602093,24.644678907776395,23.31639414368241,27.144313312643135,26.473498480820883,23.490725118810264,23.999314307036478,24.518040303831153,22.696263297187656,25.286119302625046,25.516008218527904,30.41929272270074,30.357301296471977,30.507394741823937,30.933668497384,28.216615237714663,28.936513993250365,28.622859705736463,28.182593866793315,26.551816545342092,28.852512143026324,25.58273394842195,30.219433941964688,29.920721477741367,26.67228776667443,29.447789337661504,30.30078080285562,27.830258601228394,24.325687775181088,25.50943373043594,24.14382234980346,28.55694942605565,30.394612416171306,31.940811262882512,33.715072650369784,32.41781644684034,37.76653748697935,36.43231365024026,37.42119220189706,34.62835061665177,32.1550557143939,35.6743422797492,37.46592203469171,34.52028608289091,37.478295090026705,36.37860771916176,40.5925622397955,36.56466824659712,38.52725624402604,37.74947614193081,36.026465889671904,35.02381276702184,33.28590297258867,33.9548408869753,34.278078079668376,29.73245266586045,31.82422865917116,29.667540303841108,28.99451113440091,32.173507733810744,31.340974535393766,27.273546662986114,28.006191879240284,31.266508985997866,27.613613565425677,23.81356854438521,28.357731079212357,30.935440514170594,24.991799321358776,25.652409161291008,29.222452539043964,27.033704166071907,23.512497606412914,27.3994597957787,26.876600854556976,31.82835671612217,30.70836563479332,31.23804066880575,34.86083959340691,38.92324948116828,42.44508082315246,44.00790544408506,45.254373609064004,43.13606615333,45.2667537218102,42.59970980784705,46.12699235624872,45.14175764291491,38.969517032405044,41.26465027713158,44.20217274632977,40.09649138835676,37.64819983251838,40.35698555965301,40.20186736111593,36.100367164495836,34.66192274822727,32.526598896818705,34.73927069092573,38.10445909581832,38.0008691974234,40.069867227883705,43.13446319608508,40.317271079768844,36.458588610337735,39.0062753122876,39.549127498895785,34.73305245665718,33.92407122069283,36.45108723358416,34.61899066108429,31.565010009307215,36.17512272625527,36.82163071549504,32.65917998384956,33.75117828653219,37.68617411953449,36.32590891155599,38.915860672092556,37.5872324426,40.93789451923519,39.69080501431982,34.07337571196759,37.146341389910695,38.552930881682904,35.36011630853114,33.39572990006531,39.081879679815934,37.8062202004097,32.376599037398904,34.23931997275606,38.84872350613022,36.61848724636739,32.62144459430199,28.0143845550011,31.278959474537007,26.952108686058313,29.087878794406354,23.81294901567659,24.502332504334753,20.79500163251781,19.232347907089245,20.242920849969565,22.517766449867153,22.950095809605262,25.516937451090254,21.788184758794557,24.842375689602473,20.830169157654357,21.57445636798173,26.08451893343296,28.787595541233916,28.571261709392992,23.546724649319696,24.94239831181184,27.52547344217881,23.611390796962485,20.680557621143194,25.45842823297634,27.170618396500554,25.922365968565384,27.953232229978656,29.386044753045926],[17.207739693036803,16.15294897230841,17.425186043106276,11.319266287902622,15.195333682255415,13.780700383222978,14.606431388651364,18.53187784223825,16.337016573752344,16.891612794482544,19.215144732373236,22.47191394594347,22.05249837134001,19.31138109906423,24.419337297252877,26.257458019210176,24.398809929317515,28.368297978675955,29.929677488272286,32.79486757075102,35.69594272046799,39.526433632187974,39.647845716357104,38.746916980335094,35.875443209629296,32.07577402937613,30.737806112717447,27.175280822419122,28.51760164469599,28.735359701685617,31.45150122969158,31.576704908787036,34.957605026120504,38.345878148358636,36.19340397318535,34.11426802285762,33.60677907394562,33.54440222720028,33.22220645370543,39.17865974353724,35.5321934574115,36.17292478238838,40.5448942841254,39.8563536150323,41.80553458101337,41.537093531698766,45.61475377837996,44.10275497071245,40.555923241643164,45.157046226891495,47.432386996988946,47.42375923298763,48.76094366833332,43.30265750638708,47.568669818702155,49.44722188385815,45.15928018142772,45.33650911018163,49.78865299866515,48.8601607881321,45.60959197079238,46.937145013654884,45.224479921934545,46.43114679390938,43.85376598406207,40.56409718619303,37.383640948744315,34.64015830837258,31.576493293111167,29.543447121687223,28.32302899614605,30.40626046676984,32.71861654778092,36.151178707677616,35.75267760605656,41.9772441715719,41.0323429968928,44.02071812652569,43.119779990130304,44.30084607205033,42.61215844278099,42.13168302030461,40.34873944129976,40.88884798964247,37.86401374930127,36.328315028092405,37.831241732892664,38.836625037665335,38.038718774234255,41.18098207446755,38.470355627049905,41.06664542662631,37.76904013857795,35.94190962064419,31.23217860846382,31.419862193250264,27.038155217681652,30.338183137324773,28.12666583500072,30.2011158907776,31.74882997425701,31.37251856722144,32.90399300280191,31.391822201048395,34.332942953518355,30.047735559227643,33.088945888261016,32.20471306979018,28.420874281245787,28.242980925243277,23.420422194625743,23.07428643555532,19.31623998592768,19.26476952033604,18.964013518807217,18.72513946923355,21.884879925558476,22.1500540651212,26.21100961958028,24.930148996739618,21.678487549570363,18.872630865249963,16.23134586213298,14.8589887562215,13.660465261508445,16.68925378766118,17.436619096261474,20.833909745637815,23.830051284305913,28.376596185172236,27.934008095666286,32.399460486742186,32.842270289945496,33.679116467184286,29.446665643471725,25.565143915208743,23.181318965032027,21.41858094402907,19.51515092436652,22.368395651362857,23.71042936369871,28.67769533185716,26.79601324808785,25.111881507861064,28.685912850928737,27.223815358711576,24.218704794397087,23.828350531595873,23.99796559239511,21.344632547800565,23.52464833165064,22.892551962489087,27.65838233780146,26.794916939920363,27.25973389236523,28.29979721262188,26.074618125716945,27.134634767762904,27.35393755794286,27.4101440831351,26.83394014130462,29.204667193926152,26.87130129660898,31.489479353611305,31.83565832357153,29.3244942893798,31.83880965504068,33.25373547837581,30.628668526727424,27.10684520015332,27.740627631911693,26.09597096708132,30.008605805886358,31.30614230431413,32.39127688628892,33.57722688248428,31.981543174029582,37.293545728612614,36.65607945607482,37.5988461022062,35.536917404529426,32.49112257132895,36.597941508259744,38.798861979487555,36.03007232239767,39.081602337496975,37.957635886940324,42.48362349877319,38.998615861591986,40.95600372596237,40.38800377896848,38.27841785071989,37.321824543091076,35.35475215399303,35.79359429616117,36.03215546848556,31.300091231675975,32.89709738777213,30.43322642166449,29.115410588581693,32.02917710414603,30.56257521908997,26.659097987398628,27.710835572835958,30.396972556815207,26.27661971158568,23.192958649209377,27.461414918676756,29.195661842341703,23.15948814434376,24.14544977024669,27.327318898768898,24.518835794038452,21.359697475178052,25.511241280414236,25.605368592923142,30.226211784817988,30.387124504265525,30.583449722694276,33.828656477210764,38.281633493811164,41.39231869972097,43.43758703217245,44.44810171757789,42.51717259592983,44.669249364217904,41.990313124863526,45.90823300736242,45.02753505434102,38.90605961439366,41.33777625862879,44.67809305894561,40.68188420838363,38.264624053159956,41.26199384858391,41.42565751125554,37.26065473021326,36.01467718014627,33.2183143753519,35.09369475556593,38.213007949180465,37.518796440298566,39.302538683911834,41.90421412353699,39.02696555783491,35.46755603992196,37.530504288757065,37.67228623304902,32.97566488114221,32.24697041953756,34.20432230112578,32.05795752354951,29.275019586861173,33.940294882807,34.10691129625529,29.715675114126597,31.328390516864904,35.33980733825303,34.432847283212986,37.21665481911338,36.143245794440354,39.81298317764477,38.44633107323281,32.98019289617353,36.47088310221862,38.02881231048101,34.819532365361304,33.302038032826594,39.178804669643554,37.980429618223134,32.711117827220754,34.94642231776788,39.6134248887137,37.435071017722244,33.5693984633371,28.828555558877714,32.50778818642797,28.15866046869781,29.463981640750948,24.064269142600512,24.27954732546155,19.896603637551785,19.258390230030585,20.811574228331185,23.731940494051393,24.23704371434086,26.106158233218736,22.115766227813275,25.154908511871874,20.856399356403738,20.554548278030648,24.685186533641456,26.999084488183595,26.398438534973554,21.56895632607691,22.65452130389183,24.640271890500298,20.6939425386403,17.789968901980945,22.19323941994488,23.47911578650295,22.13271990377187,24.242388573740453,25.739533024836373],[18.095260548175627,16.778471255988723,17.376957576216917,11.337541557852601,13.742126572178282,11.41701974469671,11.034657729949208,14.699165492238595,12.083481932740158,12.142927096825376,14.535756079759171,17.917182340030063,17.27008404409286,14.57030017898737,19.70677169351983,21.47222740016757,19.727379870416087,23.80423870621681,25.734921302821768,28.46051721211341,31.570020389449827,35.41213798180921,35.761729367085586,35.12291349897101,32.105381683564666,28.228318921607237,26.692453973885513,22.91937133367999,23.948187015710502,24.006317555287442,26.71674803755183,26.786520610986674,30.18544167483828,33.56364773265233,31.413568752856502,29.411710816451567,28.908442346290936,29.078541704066218,28.970901457428752,35.044159961857645,31.675789556648144,32.05291624531302,36.43817300146217,36.05624340890196,38.210778664706105,38.26982985363139,42.26333958607098,40.45085356746289,37.178509935410624,41.93909895125331,43.87249653794301,43.83594287198138,44.92622557441901,39.3839443586559,43.46721593534016,45.3294797966315,41.05767419149922,40.96490721105174,45.450632980211076,44.774640623366636,41.42694402789534,42.57396708199319,40.72342862792415,42.1160252844195,39.63827202058388,36.17917970469437,33.13189474546799,30.18957567226412,27.371833175807833,25.177802913051497,24.22055027966747,26.560315373396488,28.514451876126866,31.954497085003986,31.253351318375422,37.4672004305725,36.45418246944304,39.337715487915816,38.44479352751774,39.71560733127113,37.98114872618006,37.681788744286244,35.866820455739536,36.649747688582316,33.71450754905773,31.902696649576814,33.335176964362546,34.165643429627366,33.39508977098433,36.42170440826596,33.765799357647516,36.43965979808373,33.127072676059775,31.251050585495875,26.526967556151355,26.871458154253528,22.471971451413175,25.6424854202438,23.487811812089785,25.850673875228182,27.10657731912666,27.05243885083617,28.393971387267438,27.27415880363828,30.45419225425885,26.43843090237715,29.8326794024669,29.35637643817443,25.87147662493708,25.177405260002647,20.450029990069932,19.47190959003756,15.371670564817775,15.284847682348088,14.451943509488112,14.623139574536294,17.678511351122204,18.54738125643596,22.43592401341813,20.65396733425177,17.554606421870897,14.494195313112272,12.39364090434492,10.69478685274137,9.395015262559403,13.281344719538907,14.427551908352717,17.86043880153295,21.17370439049198,25.33417174430513,25.710529074237943,30.053995403156417,30.362097790750664,30.640781686842143,26.698103361745872,22.53782064714581,21.13043691526605,18.822727829998282,16.863731737665113,19.160560284696224,20.966723583423367,25.637027360997966,23.29347347860238,21.442088926085944,24.798462583038912,22.94354247806502,20.014128499932497,19.362210732743772,19.69771545180053,16.97820961679216,19.564398932081474,18.863647451261127,23.864599441630688,23.36399212243829,23.279317331887626,24.067318084821064,21.600186200947217,22.88185739138374,22.793849942255484,23.281158180474232,22.850513103084733,24.895847709699474,23.078089457620187,27.600226919349026,28.51172273043162,26.625668124249984,29.2254326647757,31.142203215468513,28.80383960716241,25.06738884839682,25.34995525505399,23.187462948647923,26.624949120480757,27.56210687315034,28.310353440441137,29.37432878350661,27.49046755017866,32.876824954498,32.39242408965655,33.50465096958653,31.756935649013798,28.805603937444957,33.242882337673976,35.62148330476941,32.80956559183261,35.54506874802104,34.19394037275794,38.92926038763327,35.7445083239654,37.90822140964082,37.67285748426927,35.40157023743225,34.845064581263806,33.010664120146544,33.6119789954932,34.24261056310492,29.629147011883923,31.282696593099946,29.24452632287349,27.404855264083402,30.80031080420738,28.949354738777984,25.064062343024105,26.973281517655284,29.605569525198593,25.335899654305276,23.080399574027464,27.479272211824043,28.781189173551905,23.148173449441956,24.77896818216123,27.893576493887608,24.806359956315738,22.50936544142362,26.947209877719253,26.99871106202174,31.45157080543864,31.874386810525884,31.448613986822785,34.62271623386051,38.892110906624296,42.05869669044667,43.870981320613716,44.367676092078604,42.11976714294219,43.88910822046876,40.79260893316285,44.77150664973135,44.37416738703444,38.14996862554803,40.147988285778226,43.83857571407751,40.16475442203206,37.3841839171221,40.13482026984346,40.96170837117224,36.96914576426524,34.996689929594794,32.3673607084554,33.37856730370804,36.57310668085395,36.04494462572981,37.37558319050045,40.0794446472092,36.761181689494414,33.52780852770095,36.0010674753829,35.72438166640703,30.92532506687097,30.87015668104722,32.85785772424395,30.625859830940048,28.304835331583206,33.22634141076787,33.363371415735315,29.192573277150263,31.256411364568997,35.2584685586226,34.41237527763102,36.81182920749768,35.32346875416746,39.14283705270999,38.352599262648944,32.81677274444475,35.953112867051715,38.04244404993268,35.092347073250735,33.17308047739225,39.143381691373925,38.57453291941132,33.272132047562465,35.024218598865666,40.02155620850603,38.3756194456858,34.526588573977996,29.954315030672298,34.09799332738797,30.092321446070482,31.377498078700835,25.92917096055118,25.359853463980077,20.862011565518493,21.02753360215817,22.049439907551847,25.08441353073163,24.868878409004743,26.195948829627124,21.474851651429077,23.80302290631565,19.016127812756014,19.22998423435307,22.548539311955317,25.156975209606724,23.90825754335809,19.363183301345483,21.38767548817547,22.986635259959506,18.247952948358652,16.55145211248945,21.41417695238859,22.12281345311554,20.27118800619332,21.95915991676855,23.178304089519767],[13.935485770884462,12.99898837646025,14.061203049472892,9.081793897756885,12.587726443397758,8.781172949028926,9.785673854451028,13.079511274041268,10.956406558496933,12.779876999978269,15.063158349534314,17.590854727440504,18.110280019241948,16.220765393915272,21.089704530957654,22.71293168592478,21.749202339693507,26.138641740836853,28.75448406068832,31.124463861468016,34.56405262385707,38.287695874237265,38.96264701226453,38.51341644232354,35.29414948333793,31.489837594253096,29.549712799340604,25.575313656545536,26.058818824629626,25.38145570660339,28.244625067038314,27.529404143712036,30.770098308989024,34.60372218585486,32.56769021100098,31.092838639173582,30.055380137964484,31.044133528294324,31.050725837540313,36.96519851613604,34.210281116704394,34.69759265976368,38.99953455044611,38.800219230355665,41.26989705515262,41.450108000039116,45.35679464528393,43.23771972218418,39.960794771219945,44.71017219659623,46.37344672089819,46.112865444903996,47.106518319906165,41.486039557805945,45.22901219897587,47.469168719348026,43.38258300994013,42.98230742078818,47.54931337152611,47.25746465386441,44.04471085712902,45.04986028007708,42.97591940820534,44.78663239608644,42.43799453906022,38.6897839936761,35.99077901061662,32.711910945672855,30.317699460521737,27.725874216842566,27.175653503706563,29.57472975142371,31.11632860796462,34.758472684051654,33.53234390583683,39.647514080751975,38.61096657839705,41.105330716403245,40.20949834505813,41.58371005743811,39.40402312156548,39.17672250270379,36.79642650639928,37.72026722121228,35.16060089378975,33.28425103666391,35.13204382900738,35.3921816919258,35.23288321544688,37.80372603600948,35.44045608406038,38.15440079919836,34.621285330315075,32.319843576493795,27.590229960967896,27.771219361380876,23.400585625725565,25.950294443472306,23.3184173854563,24.71925270777778,26.847134249887343,26.072570230189726,28.25860365737317,26.588307351089593,30.153033944005013,25.86477369417964,28.86552136540915,28.560522602031355,24.73806968512684,23.925052348474797,19.1724814062082,19.222779802641163,15.136921551324344,16.30002880722639,16.211099533331588,17.218452470648376,20.48899254628265,21.96041656273483,25.94393743068255,23.619084493262942,20.818197439775535,17.453251907437767,15.908166022307514,13.495874247026924,10.951654664641913,14.58792204747092,13.779519842269345,17.87333703349429,20.788549733435094,25.13917145462191,25.564584273586885,29.69010452057426,30.6676088229568,30.741016414224244,27.346934408120724,23.368165842632436,21.850936546116433,20.40550952650409,19.243167393154312,21.61998339615321,24.24198332718038,28.88185551351092,26.50220695644078,24.2374998041819,27.335641886111738,25.05785502761734,22.068659929470197,20.627366233258748,20.19909159978744,16.842784675028952,18.426146865835385,17.232776861761803,21.80553028976502,20.70452095554522,21.42700174143175,22.68065834023728,20.898972195448145,21.993735044508774,22.850137631220704,23.12997991641385,23.696002578567327,26.274862327467773,25.011275741049904,29.448879878899334,30.42772027342469,28.937029088350428,30.967043154738278,33.11415148894096,30.40530736242851,26.95611985686667,26.82633648436055,24.896957639639904,28.042226762801814,28.687320019998637,29.29247982190246,29.80969051034306,28.122933837705407,33.20828515737525,33.26864693028175,34.04454613641342,32.795164795045864,29.14590358726571,33.789987849709675,36.41554566658353,33.92436523083292,37.08505825702975,36.08475422582788,40.851389538175546,38.185940308434645,39.96477108970944,39.644736860829994,37.05696739083619,36.18874287507325,34.01176420947801,34.22018088884381,34.497537276027955,29.733117892277324,30.818418627322696,28.340684737729795,26.180932186271765,29.053494351353315,26.848429734690622,23.187390684137497,25.013232094699198,27.123871272815833,22.608921388550737,20.80576918249171,24.82821676802618,25.549969697666356,19.890239862384473,21.655456506343377,24.4325787977509,21.012396266654687,19.00109848817976,23.51264887368919,23.97370869120421,28.107434557009764,29.42623685422384,28.78812598753187,31.637630741882543,36.156346254948524,38.99031727851234,41.16302558198707,41.57444823902941,39.56217729951318,41.441696587508346,38.505145251699155,42.74317467733264,42.26989342229987,36.1874592889877,38.43105267557244,42.29908076483949,38.65505415676848,36.06362199261673,39.13549380486278,39.99692862456102,35.94761117701113,34.452651879688034,31.191539104689394,32.23886759022023,35.123235157671104,34.022642762552834,35.30215240001965,37.56890870670235,34.44584442037844,31.323560114155388,33.21654420321673,32.829243031635535,28.205973280671152,27.931522927205112,29.490177935561114,27.101602459282386,24.829579783457866,29.675629292135326,29.52666616756857,25.20485889051526,27.47751581140889,31.49492427809739,30.93321759203689,33.515489838797734,32.32794415429132,36.30328101110706,35.29574549784476,29.950892146522083,33.45082616341213,35.505470951933766,32.5333662533245,31.084533263718942,37.099803030106855,36.47795191082102,31.39731091567053,33.5313251160858,38.42874185396649,36.76041553525072,33.08210386477475,28.474890975488144,32.838209818770586,28.890980344047705,29.477501485453267,24.083568182056982,23.17428598913229,18.329170117021953,19.218133709396202,20.63338272167265,24.07000242965358,24.026302416434312,24.806526732964834,20.23455542940821,22.71228591124942,18.095306566323845,17.095791449747676,20.300283716795693,22.397293569433444,21.195243051930973,16.743526910461398,18.100487814927,19.394874600853264,15.055567620402664,12.905602222982484,17.352166794098093,18.010442028043272,16.333270680147326,18.307259394433018,19.785155544956105],[15.690340562903137,15.33563403811521,16.296454020970764,12.73746882556638,15.18358663829678,9.584854528738035,9.547266883777569,11.113482609369726,7.741940700410775,10.199094483948265,11.515170445238795,13.583837660431966,15.36779922979463,13.598358997787361,17.86727100010766,19.708640754453167,19.736918173768032,24.071083798028752,27.3582913029231,29.669783237530314,33.31877376389812,37.142709275573004,38.08360590642804,38.10935657473646,34.85652390753062,30.914351367083096,28.904771625933954,24.6739929713289,24.320987646057933,23.050594989468806,25.164168465265416,24.348802413480193,27.130834830140778,31.199894690317123,29.620818545680848,28.65108514024818,27.69290531576132,29.532238768572945,30.090119508012354,36.114324774450715,33.92115734828741,33.81008766782856,38.073172380610444,38.45779579380198,41.1328884797467,41.80505211711269,45.54891834153391,43.07189716429897,40.294466242120585,45.208856644400655,46.37441063168468,46.081846916557204,46.65016444817213,40.963230833282566,44.287034853210685,46.467122984188144,42.44696336556434,41.463052803752156,46.03254541446174,46.24614300423081,42.779535172728586,43.26217542126669,40.819171926059795,42.85242679942891,40.89432095985163,36.93202990318007,34.20550625578766,30.55123893700157,28.416695676584297,25.26079414843336,25.10281500566381,27.380809096876767,28.485092622192795,32.44629969442916,30.825746908830677,36.77088477460803,36.098509970587685,38.186492098101525,37.63381376305616,39.42917535603713,37.18454749888137,37.524633605175595,34.93960838087492,36.47290071150418,34.2518908693722,31.78200118698183,33.439916956525,33.057120874477924,32.94073248624883,34.80153429720565,32.41810179481172,34.85608918435244,31.12455297856263,28.57773423849398,23.936550060715884,23.74666445971917,19.490076051373794,21.992980279426938,19.36233505600948,20.580940595622632,23.382209248411623,23.090617861572394,25.7044032068051,24.660757513118714,29.02850783993191,25.153381920791414,28.396186743594395,28.850202892157434,25.332624978835124,23.679315403556526,19.261212491761754,19.011462080888382,14.505337144754069,16.31786711533507,15.342958761922313,17.299761446846595,19.98521188086464,22.316212401856607,25.473182395864793,22.36468175417393,19.893718263301167,16.432610680942574,16.330126056465453,13.899684108362559,11.292190857203847,15.787406611686844,14.665520760931798,18.880415324353187,21.855415178941303,25.60971160102403,27.088804538930123,30.854310247415047,31.943118227307874,31.213192044407837,28.511318080948588,24.378312608134475,24.005655665267223,22.25357149154361,21.176801998970145,22.7838864001735,25.740128624751268,29.84706112190783,26.891247225195286,24.58339815235042,27.207603170890252,24.246884112129777,21.575325413947194,19.404209113704457,19.005696228410375,15.074538129442585,16.601141296876566,14.203515510492252,18.728821649214666,16.91273905832454,17.261348914958493,19.073928855874446,17.652609220536178,19.483037964471222,20.404854350494436,21.753087304967234,23.218318815686043,25.23958067878973,25.129027501854612,29.237757904604646,31.072857526209056,30.4367151765374,32.46462743925553,35.12746692516605,32.71446953500468,29.174704844506707,28.635269195543994,26.221197036969837,28.580188201992495,28.572169072312995,28.50754649280153,28.49963310273982,26.2531358754595,31.258611775616412,31.97524602202287,32.93567426588882,32.49026738338123,28.788328366970777,33.94480717491605,36.8678122315201,34.464820053610794,37.215011687261125,35.92852206128761,40.940893887893324,38.773289305877014,40.79318294421001,40.885740125261215,38.10313478231387,37.666070553972176,35.597252067650615,35.86612691431979,36.43404079693566,31.83158222933347,32.72005708061019,30.515495754465185,27.703709271301175,30.685640576876292,27.853814377464722,24.511178468801564,27.109235765518193,28.718568795492132,23.995556915101933,23.403663902024448,27.106398103673023,26.88009149679482,21.810953574770863,24.130298407816785,26.414278877804467,22.503934202869093,21.53552160647031,26.096572732012394,26.921214602696274,30.541922734625242,32.73353779928573,31.581748103385365,34.0553925868497,38.567991433445364,41.10261172838793,43.38873865699566,43.2971332110059,41.22199050197979,42.791362678908754,39.58696074505474,44.03051877704655,43.995004191812114,38.00139967273686,39.94061103454761,44.21619166123151,40.934867166951626,38.15714887988482,41.11567855307169,42.588441841436044,38.71368365866414,36.82631687697252,33.48099520083349,33.6538815236441,36.37634335163287,35.080563879780804,35.74830751819517,37.71134549052533,34.221358170814234,31.717510063766497,33.542951461308114,32.46191340395618,27.996978192500237,28.41320632158709,29.447869579490412,26.772543992286348,25.27515867148207,30.179347563204797,29.57333559187786,25.389059663048727,28.41612753844539,32.33896984430703,32.2132373522084,34.57312177736632,33.29351168320628,37.50115995930534,36.863697268010604,31.745848452883283,35.1447365847393,37.61269907774664,34.89105084781165,33.47685185622849,39.4908070908067,39.33109118496186,34.44588881498809,36.395736619671595,41.41609608028215,40.122997618338154,36.592943790300254,32.147594182082,36.79533096913579,33.088790593659056,33.33003555900079,28.044985548477175,26.57326841015979,21.626943766981796,23.283999060690157,24.580043268674277,28.144416111115227,27.75994776286288,27.92363819137183,23.008750718202826,24.806104393047807,19.98757502467381,18.84159170886527,20.741888225375604,22.638104951591522,20.480082165396663,16.888649265445174,18.731916331292474,18.899322220226022,13.966809374043104,13.520001171410819,17.45440066179599,16.88502013652721,14.552944723532606,15.967562297358153,17.074530394858545],[12.40137227972062,12.29263727832913,13.391602429349243,11.323258723465495,14.07995920642982,7.788043966606757,9.166636406469765,10.284080684653196,8.408133987568181,12.19629749642896,13.697909719003897,14.76987718412594,17.061442253260065,16.279777446132307,20.26378550193475,21.69278932531915,22.046818537832966,26.570170712527045,30.17893411071905,32.073937019572604,35.922035609829585,39.51619163847872,40.69148573482128,40.73011622910359,37.30576326315369,33.548680592622404,31.180970878232838,26.947552857576508,26.410789316354528,24.691047061054036,27.288034330851364,25.678729496826964,28.453728881465203,32.789692250095804,31.123197326971543,30.493529018749985,28.96435570509582,31.23985207836552,31.691885836821207,37.422762808693086,35.66988200149274,35.881999602583086,40.01802880858592,40.37554714355177,43.274730943669525,43.9079275503626,47.58806128661666,44.93082986545095,42.022033610756885,46.84077533462989,47.87336501906579,47.37898877956396,47.974436912930166,42.283645498802244,45.37752347994383,47.93028467695924,44.11001923028228,43.03948996938839,47.6448362829482,48.0632098535785,44.86480232994492,45.4151637323016,42.92994787323639,45.302092719497146,43.318874266916865,39.18619840376921,36.91410019779783,33.140067220825856,31.420400745580395,28.23211277108648,28.352882124335377,30.792698081941033,31.575393478980384,35.45788441874807,33.45323585385141,39.2702860267263,38.35295688238498,40.18924096238803,39.457215758771554,41.13854396697496,38.49018279081591,38.6743004785717,35.64665471051137,37.0859712244674,35.15081478324072,32.86075095176858,34.97204667374535,34.27926815402861,34.78469337147236,36.47354322390357,34.47967956534515,37.09884870632088,33.31941780851831,30.49248024371583,25.933517141966917,25.852744350886404,21.742798409881154,23.375934092118932,20.310637462992904,20.506084204422542,23.80862641890351,22.568656007265204,25.807745567438346,24.039214916883985,28.447308421029838,24.315175596187206,27.067577319270256,27.53253943734408,23.765631263329993,22.171279554290074,17.849956374754886,18.60937765417802,14.50967627781787,17.163902753394506,17.178407677116343,19.415708784452605,22.397917211278653,24.895086605754457,28.42463566587211,25.18985570899998,22.961619706162402,19.390966680816007,19.147599417729143,16.26317428453813,12.971202539016844,16.653155935650137,14.056304677591651,18.51966442908165,21.0026174040454,24.875606994014863,26.211757188828404,29.745737998457944,31.367128021263035,30.60324143421489,28.317787640602788,24.478351286515455,23.868432200492148,22.906417898452744,22.481303876676034,24.273528154133125,27.785375260033945,31.9492856657032,29.176958419917042,26.545901263533672,29.023678804418424,25.97284555220296,23.224577728122046,20.658608019864403,19.54444141612005,15.413294055492813,15.816924172844738,13.374302776396329,17.24606736079773,15.147700694648409,16.531234218136408,18.507383797537738,17.742182372520958,19.01494969958438,20.84773038707404,21.590903647044726,23.696692946982637,26.313938050473098,26.369661562801774,30.397675904663448,32.033186092366165,31.567862645696216,33.07166336544067,35.810177858891315,33.077226981768035,29.848099754352027,29.035750361775676,26.955533419417375,29.17180222805955,29.059182587937418,29.044991485434142,28.67527037193124,26.858201162322594,31.478591234643105,32.492435564256255,33.060841359159774,32.86628621157179,28.61585155898611,33.74332346453357,36.779209751118735,34.67875716117859,37.86728938221862,36.99868108738097,41.9152704858916,40.12674332409614,41.712410847145385,41.63927304506866,38.64437971014075,37.85997816320519,35.507533635738,35.43046622706303,35.66024862067338,30.99567987339447,31.41809037235078,28.888538469423434,25.91427894504181,28.403403867535225,25.36929465343666,22.280068959420685,24.737939380908898,25.906198980304755,21.09621328922562,20.94640031902357,24.245466005192885,23.555425779846434,18.641884108759072,21.083832365993,23.04535334445069,18.95617956021372,18.42382719854286,22.93245213219964,23.997286160014767,27.2777951333258,30.07531659298149,28.704094353251186,30.897018618101264,35.49801728990939,37.79396117132846,40.27485339867664,40.103051160151686,38.199577323815525,39.83919971944244,36.79255282841838,41.38140829763362,41.270763171129744,35.43919929761725,37.55558959673796,41.90588485060272,38.67224037961564,36.075729542833386,39.2541569616908,40.71708169195588,36.84769412319637,35.36420453556773,31.579159205904084,31.820945154277798,34.26369062090448,32.54105233186149,33.213687230449885,34.84195027581795,31.587918122475255,29.13053812439305,30.478496081322614,29.39249664349592,25.096690808846223,25.276749801336166,26.010791700494185,23.263756696016646,21.782548636964343,26.590481770950607,25.82719373739002,21.584805319548344,24.726710537173705,28.623599925942276,28.671521830632482,31.11124330303323,30.043824494165452,34.317582970063825,33.54681817359326,28.619313450235403,32.22201608062316,34.65086188001462,31.965336555637926,30.89395454219249,36.85899847579718,36.69980550208027,32.05083007329919,34.21949816917195,39.11272424440525,37.86121185627192,34.51463227949185,30.153711332177757,34.92480383397719,31.390685500149736,31.121320090996566,26.015266035507487,24.21382117599571,19.2087555924167,21.467747999200608,22.899409400675026,26.638349928780706,26.315224723418577,26.01355035336215,21.348818714606544,23.18648292197806,18.713053614132235,16.62757972408922,18.354541762380567,19.760010906319202,17.776347129512708,14.329711331447582,15.510971419947936,15.424060405658105,11.013760821933548,10.208311332989181,13.668093356350806,13.083601166895303,10.947393680241268,12.750511957528385,14.256983373188113],[13.933093201130268,14.765980802642922,16.321977662122546,15.195984682935306,18.067637648609075,11.543796706337151,12.667712917536594,12.593747354349256,10.216964883455706,14.107180685814122,14.566430985763969,15.018798594056923,18.52832149484743,17.682676587757523,20.972044862036704,22.66492512671106,23.77593083417373,28.073333830824442,31.968512248158074,33.95765658506837,37.82777659552728,41.535068900606284,42.786784406577304,43.104239304261725,39.753049930548606,35.88321322504083,33.62713720253303,29.30639717176186,28.280992595364832,26.220735873408728,27.972910254577243,26.415609779422024,28.603149634424465,33.10569881768598,31.96310405262766,31.770556574739658,30.398632402188884,33.25483234844484,34.08310312615809,39.85314474147127,38.396340905731634,38.186250561057506,42.28757538096696,43.00234578720632,45.944097344952795,46.83881148757085,50.4361865350379,47.64171051441925,45.038406913726085,49.93359729108536,50.72137042840242,50.230814947992826,50.57096749047162,44.876157488032426,47.693129115579076,50.16421497206104,46.38769847751375,44.930529977485435,49.50087022201394,50.24073292862647,46.836707515481855,46.97660239368196,44.22168345083762,46.65472643820661,45.005358670776424,40.803473645476124,38.37023814692004,34.40187385437382,32.71752474902327,29.13473023354914,29.40125317534682,31.506420251029642,32.1454015918903,36.32528100643155,34.196759428893245,39.80116203505427,39.347065865587524,40.837594151317376,40.48384727465925,42.53342884348927,39.90020589994271,40.54431357148417,37.38712457709376,39.259623472882986,37.58232719854949,34.911033310487596,36.82625488053342,35.648635759778244,36.119508363641124,37.15078726725733,35.08886160430838,37.303912094581825,33.3714197882602,30.380675761914873,26.03616745997357,25.40125356232906,21.574069583105683,23.25594693928402,20.2964999891255,19.96726802316693,24.221568621340744,23.31052973924132,27.053236447271725,25.710377613385855,30.649848918813355,26.81710165551997,29.517443449479135,30.423803945096108,26.79599277403373,24.80640252827019,20.839951917166278,21.64737228969982,17.525811975280234,20.414108646043072,19.888289400845835,22.443729503397055,25.012977699640377,27.79604883650621,30.73033598261156,27.167102889582683,25.057715056149423,21.59113529099391,22.036742126501135,19.394044887374353,16.353901563140663,20.35253685427255,17.702277921895263,22.11540920557311,24.49617979148203,28.05830308777312,29.79425088658149,33.08754266947836,34.860837769223274,33.731196536632694,31.850809539333174,28.014547196963214,27.77953727705522,26.744906753657496,26.26838247042908,27.79043729563978,31.252516228335903,35.201824399754585,32.159238548068,29.62549587155465,31.88540921900778,28.521626018480127,26.010396423175116,23.129215939125373,22.07268269193798,17.710229680322943,17.833342913522205,14.378871787119913,17.609694064473697,14.174202460174408,15.735184178013581,18.617793082743518,18.557390320581856,20.3771732357251,22.387263769491383,23.85900013525386,26.546955009624202,28.783174022277368,29.467684826312627,33.286333992287815,35.344209985071906,35.20915054368966,36.73767941117995,39.63756592354975,37.00332612406151,33.753874801581574,32.83189312497838,30.593008748103188,32.46833022183092,32.02581303769918,31.623648460883615,30.88082385108626,28.72424153785382,33.1588379932414,34.68369132165237,35.334334164554946,35.676092920207076,31.390979079359116,36.74083908301317,39.92208683971179,37.91206579280898,40.88507299341706,39.861644476166596,44.87711448914008,43.3224095801033,45.0480044589174,45.16313172324085,42.09751781102961,41.483912392786436,39.161521608744856,39.060874184280806,39.3293129781121,34.73413526433128,34.96489728917466,32.42539120439704,29.21443196952976,31.458408418670366,28.10989999747378,25.36268796535461,27.921923025859904,28.609429367833744,23.76252349931678,24.191345891618624,27.047808370223144,25.667277974976322,21.13879374908083,23.623980367780707,25.05334362636368,20.66941887545544,20.615168315722944,24.908753406314464,26.437045496034997,29.232328123159817,32.84244740499072,31.378000267437304,33.18354405158431,37.91391708100948,39.79370891760499,42.60113015799299,42.26566818253141,40.56563940091413,42.16040568705095,39.17308186298698,43.920979372519945,43.912326856738545,38.285515395663566,40.40022132294881,44.90626783414031,41.82728639048987,39.3092557051046,42.54288397067759,44.1573556433417,40.345049051514245,38.966708749703805,34.99723653186471,34.98283411213425,37.196662877922115,35.1515450514433,35.51579059520406,36.693278882498916,33.44025396700299,31.431481506991336,32.32795278749714,30.814980134159203,26.880100801698326,27.243921873835472,27.30150144514657,24.326367294055814,23.38362911308466,27.93639968508481,26.61950846110766,22.386349041094572,26.0166837788724,29.765064392933503,30.308184111098402,32.80895351481704,32.017116480809264,36.39865368074135,35.56840377117525,31.00076006133913,34.760692464352076,37.208763245622826,34.60811360324028,33.896991400543484,39.769483267314385,39.632408218232506,35.23179100735593,37.55789403415293,42.33495867083274,41.09790270255843,37.899267335164204,33.58431398301494,38.33930121529767,34.8206818784321,34.185741160499134,29.228550219106545,27.38911353325576,22.361009101223754,24.831783477902828,26.49749858840522,30.306657746016935,30.108859884764758,29.593283042639992,25.075025182588533,26.773036803462958,22.4311850438272,19.994631876491688,21.0825982356654,21.994758294112337,19.615469623387636,16.992218041376486,17.795022684248913,16.755470093276564,12.831474170676511,12.74251135629816,14.848351861551409,13.257180218186734,10.96927631748851,12.40169401778127,13.695295899930498],[12.679644367032706,14.165736398691976,15.722376964816888,16.893145934264872,19.566309555805695,13.11854281101418,15.043327961645632,14.05929492567683,13.295763342364939,17.824331097199536,18.26684046442857,17.58927209840838,21.605850905530787,21.74877435106045,24.520105461418634,25.750625506721523,27.345343231771043,31.703949181375336,35.987537194513,37.49009746870326,41.55946141457842,45.002548054038115,46.543137952391916,46.974682864209456,43.459741659359146,39.80629181961695,37.19773298380013,32.90193780213238,31.54784268885227,28.94552569838934,30.988358827206483,28.563377795452904,30.514188723955687,35.26544079699235,34.1810265365585,34.51562452945607,32.55834275447202,36.04049325984036,36.86035851346008,42.22384862513315,41.41918802487396,41.42195533707126,45.320523045543304,46.13693669868848,49.3329713124324,50.28598134309443,53.73719321102393,50.691113114199894,48.100882103161695,52.867199110522456,53.371364237541655,52.669129615483854,52.92893509311889,47.294061387590936,49.695951327822755,52.54014714413451,49.05183876796504,47.35420845555107,51.93048725354256,53.04745166114901,49.91078432363414,49.99786880923737,47.13045211452098,49.972490544084536,48.40600221650842,44.00488304774835,42.09240003056379,37.97620885332749,36.82501322688818,33.1640290899683,33.789091570405574,36.016208439462865,36.21863399441772,40.31064397898588,37.700267059784146,43.0272483638512,42.38641038033873,43.45398872998675,42.98640101741667,44.97653944256552,41.90135711400938,42.50462443661631,38.8264880106685,40.71989711632705,39.506927148327186,36.95021132320987,39.293030702080586,37.61108683282992,38.801511413455266,39.422531119040286,37.85700531561427,40.16412455252071,36.20834948917009,32.908657534139095,28.837505712476336,28.258980352230438,24.803835990430418,25.38779469607758,22.100388349687314,20.366096270729358,25.28846728404227,23.372318706903208,27.88528406933896,25.90924003783857,30.930108558807245,27.09779811605057,29.102952422201806,30.233460127161006,26.566547129658098,24.50407413014214,21.100782983173804,22.935943060513985,19.499245201546852,23.106558160170415,23.355658690142242,26.21561370946629,28.903769732179626,31.933878979172075,35.06195718059588,31.293133529007363,29.50419815675831,25.981054901306592,26.47769439623039,23.501601719457184,20.035021228888585,23.27186400570658,19.39297656797296,23.710943621325022,25.41236530198895,28.755661708134134,30.5248827288673,33.31189243834231,35.70041922012254,34.349874930397014,33.20162934066285,29.783608752118106,29.55872003574829,29.308545413304667,29.490849906659292,31.0206190115869,35.0241707500106,38.88649104267056,35.957990238491675,33.134042936900514,35.11072665245063,31.594894686436646,29.139708300627667,25.82842974494887,24.098256018619015,19.722273494059987,18.539190565518332,14.993386620056052,16.700331803671947,12.58961939119416,15.555405178875597,18.714489362681434,19.72152289404562,20.947165670769127,23.937697105138973,24.935398442407898,28.446369019987717,31.11015355935037,32.204725797505766,35.76905012360031,37.756404527044275,37.98918489550459,38.92760124316749,41.972756790570806,39.09915511634779,36.22920231288465,34.95399026346262,33.02391396045619,34.525261139499094,33.823473643153434,33.32058173986862,32.03497769297381,30.306616783369595,34.09331960553819,36.12691536160067,36.34087903074361,37.19475648389485,32.38220169098691,37.67113794855372,40.99227147202059,39.40744203659541,42.71950094527035,42.12777459123559,46.98208688868334,46.00715042417505,47.289014013149206,47.317656092289184,44.00968266419519,43.11344178341111,40.536973056857775,40.050353543354866,39.985624769780166,35.48340881983875,35.08988221617756,32.30564194687801,28.848254370075956,30.350300865667435,26.674447277032627,24.566921043672835,27.000779622715932,26.84742950941547,22.1098485234322,23.518445359629162,25.501092524752185,23.123068612624596,19.42204630638497,22.038716166185967,22.6459387393641,18.07743103039834,19.126152110367553,22.975718657477167,24.9403223663753,26.887023600554503,31.567519832166536,29.715259809248437,30.89209705868436,35.62115047238085,36.94537977631967,40.06433065846448,39.45199086482882,38.04918066823201,39.61463114602357,36.85513937708446,41.78172931594772,41.798973748482915,36.581369854704676,38.80287534114608,43.43437858472719,40.59681231713613,38.34128046069946,41.75382516049573,43.494864176973934,39.824660710439325,38.898983496292004,34.45928196160613,34.28621065839005,35.99525849962598,33.338210890619024,33.47915661174894,33.97921497882619,31.057935017709234,29.45456480974337,29.51673234355691,27.743513700310263,24.370783614067072,24.609331324190993,23.85866105787199,20.74554492716948,20.30842332872875,24.41340071594917,22.578534688959063,18.494906294996262,22.543839866623387,26.02827578099889,27.084924660907948,29.56393615158552,29.1505108364722,33.58154600984168,32.67510292635021,28.677636369314293,32.58676006116192,35.02168596200244,32.633655732384874,32.47986284920112,38.093997884563635,38.08298698348016,34.20779305038172,36.72048201977064,41.22917152797118,40.16806344482695,37.341151820615664,33.309585548717386,38.14936265233616,34.99630504159948,33.6215080234653,29.11980741383832,26.82267563043211,22.02023777708266,25.241165680615893,26.975060056048598,30.85051758208957,30.669616250646758,29.467725182525403,25.424933222518636,26.90682203800317,23.208543870051976,19.81063078429794,20.120098927744912,20.08235622262578,17.794406049665035,16.177011414570053,15.935365830157503,13.890791457667719,11.565074560894052,11.765110079091158,11.830595546298527,9.319331404169482,7.498147133392482,9.088480650866103,10.784906602445574],[16.86036807112172,18.64941586803441,20.33831034270777,21.194550437667637,23.803475374465325,17.16042779575835,18.410385845850804,16.839823727663585,15.258384699534377,19.39433267316585,18.919282556774117,17.87853241503267,22.718855902151113,22.63149719348513,24.69246223727891,26.207385671592085,28.419517605862538,32.43905838643683,36.88340587269894,38.54430606536617,42.55922838933104,46.12981793034952,47.703715220068645,48.42253838353312,45.0397504094043,41.25424313479216,38.84467904737836,34.49946977977243,32.72645305217328,29.94473382351418,30.99650681627534,28.862227965409737,30.160906885805638,34.92744621243655,34.43262408733023,35.12305328708554,33.50327662072832,37.40105829643617,38.62442353854505,44.07562011564746,43.44277188257638,42.938711088438545,46.807830071867585,47.99355199048518,51.1766631556232,52.41771629957965,55.798509713075994,52.648219961100374,50.40441665236659,55.28523127153142,55.569882618255605,54.915528546040214,54.89284897384705,49.26040547025561,51.43753256159538,54.08473890567366,50.60616103571296,48.545249618214044,53.02432424258974,54.403982586645505,51.00652162146365,50.64688077656592,47.530850688057825,50.34683378502101,49.144659894427036,44.751720867762664,42.610284039715175,38.360342546520414,37.189216688003675,33.20460293201652,33.93407473199193,35.778848112468154,35.8528397044292,40.1863347779843,37.551693746532436,42.607446209510584,42.50484759489963,43.255628520632754,43.23512131153111,45.62849624654492,42.70594757500006,43.83124071950729,40.19826006636907,42.5566990998807,41.515460993741854,38.528118739580165,40.51274841872698,38.44093223187395,39.41243563040862,39.38453778215912,37.677063145837835,39.49233157685181,35.449235286391186,32.09381958762764,28.330478777468993,27.17601680363043,24.12196924276474,24.88031522899083,21.927114174764178,19.98303636833229,25.599254761454883,24.42039091349043,29.105529615892394,27.879634485683866,33.3568766410869,29.956028560301426,32.14099291187897,33.69163794145861,30.297947532647747,27.83691283049881,24.693638752694348,26.088655262464894,22.463431070546058,25.97648923859921,25.491786594766044,28.545383146584218,30.76436149530477,34.01474541648309,36.46528990074869,32.43935316645521,30.764693761592284,27.420371397873108,28.568066235536865,25.901760776676827,22.79112579805873,26.522916206967846,23.094425481062668,27.333768849518705,29.190730631977754,32.205595474583816,34.43807917017376,37.11352666940961,39.39743346677347,37.68905803200405,36.756307466935624,33.21539057009948,33.45377433884205,32.81824937684301,32.74550122891022,33.95418128387283,37.773769972851824,41.38555903527441,38.15106319655405,35.50868905792465,37.29824035082067,33.52131317226043,31.334411056819878,27.87111139299587,26.43722524185624,21.982227965476014,21.01661662384345,16.73253048041925,18.034354023363733,12.884959099389725,15.3809576872285,19.28670785700184,20.729732488151623,22.65024924794165,25.402553744553796,27.290490611244795,31.07589265835581,33.15613085273047,34.80045357633354,38.172018267167346,40.648250444145255,41.17015224514941,42.31468750149419,45.518084983578674,42.86781222659345,39.84399972535209,38.54340608478386,36.318061192579755,37.53111019916011,36.54325141035104,35.64200036822748,34.132670187265035,31.928862437958106,35.62292049554018,38.04925680376209,38.49529826871264,39.79149592484904,35.18384256671431,40.69552896297709,44.112353406515616,42.49635194476158,45.41608640354706,44.50862280712752,49.523970266043335,48.66734165342631,50.23011065036622,50.513966756492664,47.20696497609275,46.628384189886674,44.19817030410852,43.84134708032604,43.980824023522615,39.565340181896744,39.21491493817157,36.60609898085095,32.97728860585724,34.561703422826795,30.704600864193335,28.75605930364435,31.42260165392938,31.10868354306172,26.418140017800226,28.092632561808163,29.967279911814675,27.27973018601423,23.894308435611656,26.504793436546233,26.87207269600851,22.27093316174566,23.466187828240866,27.151409921851055,29.31237928301199,31.00283796060132,36.01055810448601,34.14405786109112,35.125108756320316,39.85097601492815,40.93206308804628,44.1832873020651,43.405839731978276,42.07465990019325,43.50012185581228,40.68840204027866,45.65702486723896,45.86902177469097,40.77581950893057,42.84563073727838,47.60393238891029,44.92857218109439,42.62190344261656,45.948888563681116,47.89273432807899,44.290788616745616,43.20022673002643,38.82059952321196,38.31058914936224,39.95057448051205,37.24927230461905,37.05050091320274,37.29879992913466,34.24218110978101,33.08925054325638,33.03688856263646,30.8394768652883,27.767316248053078,28.38504793814895,27.21476334905025,24.021833332092527,24.138461888242382,27.984333104267463,25.77796737619257,21.95585775548116,26.273549047310976,29.527700301092537,30.92069920118633,33.31155746463639,32.98641716747201,37.43510504573193,36.630832560073216,32.891893331817066,36.74779276772675,39.260755382456715,36.978624057180404,36.909089571061706,42.452900087489006,42.534981717874935,38.75709701600068,41.23883277408648,45.733993757195215,44.72714092928717,41.93786071894216,37.91511203765395,42.72363213869455,39.53023304395889,38.11471289669041,33.63510382646432,31.406303638533377,26.601168897779917,29.736281423528908,31.537121732569318,35.415946981841294,35.24255345215057,34.04342826424264,29.906013483047637,31.213806443679964,27.3894814927645,24.20895433909987,24.081265501857445,23.97036053882173,21.23496229189381,20.199190221463294,20.21411286224246,17.670677439121395,15.305433276452428,16.274139409246366,15.994546581749452,12.920283730874543,11.055736536331157,11.546863965062256,12.429511879781087],[18.518616673207763,19.724274513816486,21.208397231348343,20.514675698458216,22.897137361680972,16.178667740689708,16.520475973301643,15.19105370849877,12.335123752210603,15.800326058130091,14.930515298279058,14.49479121974463,19.24893144228968,18.49460767315158,20.603536494112284,22.500239383838444,24.59079531184219,28.448026013435253,32.70168171210604,34.688840998012665,38.553306325334134,42.32371428574189,43.71728286136387,44.456984976540724,41.22100438980186,37.28432452190909,35.16337152625395,30.809312489284487,29.101763157251035,26.634304045692033,27.221075813033217,25.784686875986537,27.13520041634079,31.72062343369509,31.291596817412504,31.677625758792946,30.573625674736725,34.13779406335708,35.48785438447158,41.23538192678527,40.229614793053585,39.4073208747007,43.392168929143565,44.633549716278885,47.633031846128375,48.93978915676414,52.363418343987604,49.353640740994585,47.25649752734702,52.2354330557508,52.61930917399147,52.15237282119304,52.09244463394919,46.44124713731023,48.845218549666505,51.140021229398826,47.45815243197828,45.462262716964894,49.9277561019256,51.120783452455846,47.46069453394318,47.02565400238597,43.934146728859005,46.451950301887095,45.280347915763656,41.01943523499863,38.47965222005606,34.296916644885535,32.81036521502645,28.794039185621376,29.358159942719997,31.067016616616215,31.33915024047949,35.77008817858342,33.420395222268965,38.621071634803826,38.74169781972095,39.73783113240763,39.88235744671002,42.400073991393896,39.849299905001416,41.131802415564984,37.91182639573298,40.38047615719257,39.04600555146778,35.85147947394859,37.420217620805154,35.62259815212319,36.00787148469075,36.14776523880483,34.04498831556084,35.71767067460443,31.66810572485604,28.522542057163285,24.594832242362493,23.301007286541697,20.030574926215678,21.635811324381912,19.00371791431259,18.208591416653036,23.378268525971936,23.199007288945865,27.277462702109915,26.76333315333451,32.290525960037144,29.04725757653985,31.847328987633045,33.37798923189412,30.140844218134326,27.568015495565223,24.120981652109204,24.58832752041617,20.47368632116326,23.458179988270754,22.184262315137786,25.136150494515675,27.045962559752134,30.250760276999184,32.29914092253476,28.30191526801687,26.527309764151564,23.311763001082596,24.753933113918812,22.429931160007023,19.77966849062443,24.094021746720095,21.665527992229208,25.858496588715163,28.226380420266402,31.21250850736748,33.65370719587834,36.630947513303084,38.39710114451014,36.688367088794884,35.33229159613836,31.45925805582153,31.9761296335583,30.64786634716616,30.084894730728593,31.07623701704422,34.49837818412858,37.99100883335665,34.5688242898771,32.18396386570845,34.038758618487485,30.27703279779366,28.179214942528485,24.951578651111124,24.092043881817244,19.663147117217036,19.706641422452073,15.285430693853499,17.728795079321753,13.094101550856852,14.172336665924133,17.95133797983202,18.613925300530248,21.184632160433516,23.096936412566208,25.61776212021142,28.892479254231343,30.445665728620078,32.029148527935334,35.463882386284915,38.17628757342992,38.61311618696706,40.2202645920058,43.40863574049164,41.05654316345082,37.733161073476225,36.62811552624001,34.06381683602977,35.362666555277244,34.43562358428272,33.46071454403323,32.285783474293225,29.61991410967901,33.78228031235624,35.91842717017868,36.76811258319037,37.821394442570615,33.69354140196135,39.318435510223146,42.661292628852934,40.72745332767942,43.23300558603769,41.915787416424216,47.05415710759735,45.86237764292431,47.842867612972135,48.305916251486614,45.17629005457263,44.9488376921296,42.78044958204312,42.7688896543161,43.27465355519085,38.86314137521746,38.9998448071193,36.70665161181304,33.15027511715111,35.407156249745015,31.70188400399971,29.301291658609667,32.27094673399734,32.57790351603425,27.77498772892488,28.929224366755555,31.486120342772917,29.458267292238514,25.5536488266808,28.223364265385964,29.221071604288547,24.690966731234646,25.27087425749669,29.363009330350724,31.14145943402879,33.485899614477965,37.66463034938526,35.96037513494627,37.435060585632364,42.108223648544,43.66157648700781,46.59151972434491,45.8995098193324,44.23551896205368,45.57893370734275,42.46703710489562,47.31021384683617,47.63122618123177,42.188999302932025,44.054803832796146,48.79937342426969,46.02219850980564,43.42137571155208,46.53014795326621,48.54368125204637,44.884755056234106,43.26264306014654,39.312363733614085,38.69451047879719,40.73349647155327,38.557762027286245,38.39908227791739,39.21324501202116,35.754380811222944,34.39330765900582,35.11352382607083,32.99098932508296,29.440323449948423,30.3586935750453,29.836157923736724,26.71200667863978,26.562706761552786,30.865939811330584,29.08149778017111,25.17809570552486,29.30554477512571,32.79046634860108,33.76855012191934,36.06619029893669,35.31061429066714,39.76693784672476,39.18741510351224,34.96531555419804,38.60277116729188,41.26858952571426,38.884795931568085,38.26928920661316,44.030759490799234,44.171134900415744,39.972582782506336,42.18277747219301,46.96455118323377,45.94512199558215,42.86717518952383,38.66973218238952,43.503326104282635,40.0948851176746,39.282328291705326,34.438473486207585,32.413075276848325,27.444640684317356,30.134238790300348,31.763318145724043,35.58142498230035,35.250365108781224,34.47402898194378,29.856432472086,31.135125397052263,26.785719694413118,24.441876682557236,24.61044970787244,25.254703928739964,22.232695270228845,20.623524694891152,21.6294070318553,19.66464925198702,15.916489990799386,17.121467469202898,18.355696549774443,15.697281961612815,13.201626398151994,13.627495266506674,14.190018525400966],[17.71703050811914,18.419534868881893,19.318511773925177,18.89125163336033,20.515136792268375,13.74109645600937,13.81806450143861,11.92045209638085,9.626562470591285,13.573827185573041,13.0224218558194,12.081538513649297,16.789041378752312,16.787323861609128,18.90238329269086,20.360766178341265,22.48226565431167,26.53502640373095,31.008366980277696,32.6094299240585,36.638343424908534,40.19525017158756,41.78192281494125,42.51921442311837,39.127829124458174,35.35905048948078,32.936341317297796,28.59172114447074,26.793155250021286,24.095166301790016,25.317659238682296,23.301617059656685,24.942404736669687,29.63365049130453,28.892993993274498,29.339725554492876,27.83680517287616,31.542995107439673,32.79634841386918,38.36218552140053,37.625993254325586,37.02068541770662,40.913699980897206,42.12769508257562,45.289912587614644,46.602139218118886,49.95679077300687,46.803544304641115,44.66463573216224,49.586421836005066,49.84664470479254,49.26692671996633,49.21305227956256,43.56645774329107,45.86180206272903,48.359272540115064,44.79292474044596,42.80252760932253,47.29945019858992,48.5681059605556,45.12273736974051,44.8352228622868,41.80077309722816,44.56190559161425,43.26441010012224,38.883280273630135,36.77049800866455,32.541761598636164,31.43864703035978,27.54679839189517,28.355074294345407,30.453932768518715,30.405321204205343,34.596887350678095,31.924350758870645,37.13524235065332,36.82213859965091,37.79059249341225,37.63649067946579,39.94870528465998,37.14871716142659,38.23757417233248,34.831420548682736,37.19849290239585,35.97465263844275,32.89711844527987,34.7409144842359,32.882842228528446,33.657208722156675,33.94566721091511,32.14792839798972,34.19840964375821,30.19724277131495,26.923106267252347,22.904300653352927,22.097077154343612,18.731180087831678,19.603809040260273,16.591596083791643,15.516357449746092,20.51897041610569,19.866302261925046,24.044585099178555,23.26018931144484,28.77202195644079,25.53012925444721,28.29042590725214,29.916937764006498,26.790368216774887,24.085211077765983,20.79284066814114,21.318781269006802,17.38896418544063,20.670890394671506,19.77392823935426,22.960510291272108,24.977586062533817,28.38846035370039,30.697063110969843,26.584577809561768,25.05087256388888,21.722578957104346,23.179835425968495,20.55032932257858,17.614402621759012,21.57626557470067,18.78576901256782,22.858265443806864,25.084685328408895,27.869992241801285,30.51893812420519,33.33179449600844,35.16055188952463,33.29314682729623,32.184363736739925,28.416666729428663,29.19835953208198,28.031554281930806,27.78141669547258,28.634556068466058,32.429140450357856,35.80165260500752,32.43872454267567,29.841097008910936,31.52429157773543,27.687535857475247,25.587417311139063,22.133227764738013,20.969521040337305,16.51607630355589,16.221277964797295,11.787613638041229,14.244957965136134,9.983671426730904,11.219106619341908,14.731725304452796,15.433197608440656,17.73949904006487,19.93966556264598,22.223634375452235,25.74358385602051,27.490458305088058,29.242200953147467,32.56306530768018,35.27194241076048,35.96594162417929,37.33202065061786,40.66012967222811,38.314793850538415,35.11244943360233,33.79895995047747,31.263483322864097,32.31911620914862,31.266577537550155,30.262734767366975,28.95639077935854,26.478825964236925,30.517709607980127,32.70327005200328,33.411750681430576,34.56817361848465,30.301157332808188,35.93400493253435,39.32295645481387,37.501774376107186,40.09110144484105,38.938109722532715,44.030819427419985,43.08888588648857,44.88201477016465,45.348722440867,42.11836674432534,41.871151706026254,39.673132636856344,39.60594170709668,40.145079461033106,35.833780846679694,35.884986948545134,33.744499747772885,30.02817542369299,32.39122786220457,28.589943810786302,26.263864339134308,29.531072185642845,29.822072734393508,25.06589353852103,26.588260075921724,29.159345906690003,27.067271169168144,23.459888704598082,26.388214828081324,27.447086266842543,22.994477667073504,23.959369513008156,28.12753594241946,29.67045994197694,32.01150242531565,35.993852674639875,34.00485611883656,35.51435113358526,39.97472655903477,41.6722054443913,44.33386130760864,43.42430428974096,41.561667807634976,42.720426943555644,39.434745352063274,44.239790595163115,44.74976693928958,39.28675118552162,40.953001850429764,45.78455007583024,43.15792176400459,40.437491962251976,43.42702432168763,45.679486251435485,42.13460399279163,40.2808242624927,36.407533944216574,35.46854641035753,37.4950194386333,35.41525268054437,35.116924398770436,36.044328743049036,32.43109443602601,31.140391986592384,32.10375255610815,29.904816948535903,26.255381895035317,27.453648728683735,27.11487806743136,24.044586334050813,24.03019544703494,28.478505927100123,26.90099524041708,23.213486073048937,27.36354228826653,30.832314774220823,31.64916496647316,33.669152050041305,32.6208928067134,37.073856437256765,36.82152412769902,32.53589793897727,35.900435489019074,38.79304858280693,36.56167972330173,35.697296491314276,41.43125151662795,41.87971049200308,37.692880523529745,39.625149200998,44.50690400827512,43.76323780690778,40.72269051877639,36.680304279001625,41.67750186526885,38.5026763291254,37.74461734028043,32.94608094862616,30.571080845454016,25.72619065978609,28.698255670264288,29.99984026300033,33.77593708649273,33.12583002532033,32.08240646434654,27.31501025567291,28.24631201818134,23.934307924929644,21.72292936890876,21.438111838422607,22.180013966722008,18.93039695754025,17.540502311273865,18.9812941093829,16.931342794847623,12.80485505381793,14.793504213340599,16.35480482960655,13.577609564559184,10.768714000781989,10.916545631902393,11.378719449869022],[17.480582982212912,17.545663780134724,18.09479306206371,16.648286829833328,17.904699714204575,11.29507942424733,10.743473395128204,9.331354818191837,6.271461964408831,10.178035533397436,10.117173944526769,9.976702690618033,13.91734517396921,13.671406013061272,16.40764385461351,17.88124957495095,19.469221120436906,23.69528282844153,27.973446020874224,29.661258400350157,33.65791730463912,37.25206813524298,38.73076556410397,39.30798167543602,35.90402416146161,32.113657849720475,29.7114549299477,25.361376061512072,23.86547536802105,21.484903077677018,23.14436940527949,21.368738461444806,23.52158863549626,28.053873320687508,26.93842328266619,26.938422888497787,25.532469310458865,28.74546020624843,29.829446874979485,35.54743602503899,34.46747926149547,33.98115935880436,37.974231412053065,38.998014875736985,42.07823918491915,43.26958529213427,46.703509002971686,43.675116380267326,41.40490320173057,46.34331822900288,46.78848822634453,46.28262428303045,46.36994346474128,40.692163317747244,43.269874414929234,45.68143559265301,41.98365465727393,40.260381944915736,44.800462922172905,45.787985476926,42.3490069892191,42.30316325205834,39.4433038923811,42.058575278121694,40.537280667651835,36.22492089041327,34.040342557450344,29.929002955103087,28.66277732014317,24.980179982184804,25.637539144356534,27.956312742880172,28.0834055304787,32.14407314589967,29.648300377535683,35.12495481076376,34.56714143142135,35.89617266405847,35.538733444671905,37.66202942708778,34.99108763449654,35.843941929135596,32.67941016033916,34.82702777657388,33.3023806458192,30.34970828706745,32.15791372228709,30.733924876928025,31.284148983950036,32.12109077150147,30.186302217397618,32.4962410938018,28.575294570224326,25.490384790355893,21.167503866944543,20.746721345068813,16.967663589767785,18.21988648431486,15.199710633889051,15.143645893874554,19.19659663913893,18.753088736514275,22.33128654152115,21.580902904386697,26.824308884178187,23.457346992545848,26.553493453610454,27.931226219416647,24.81083061681572,22.24796559303826,18.62579115556022,18.63588275484729,14.409345271391759,17.373845972775946,16.344371997324945,19.415923497532933,21.541413475452323,24.84732543492696,27.353978492409624,23.382825806549874,21.72586868215019,18.31669852194328,19.59379825960061,16.935393214713653,14.04640821046933,18.185878836519723,15.916571033451666,19.966527654061927,22.49401382101946,25.40376766085689,27.97348071432333,31.037721287099576,32.54906430376743,30.86428334721027,29.352825986213812,25.418374415408515,26.1939017715357,24.727818292359622,24.293187325371658,25.148822735794226,28.841752959677727,32.27635827769695,28.9530145088488,26.380409736236178,28.217204215933897,24.517752923132317,22.29362908596496,19.056177114042363,18.113149562420578,13.69014864373768,14.11176617868647,10.139616170817117,13.785737768745104,10.893065629634005,11.313528623042213,13.984964115596883,13.711262896405987,16.01082290811848,17.709145626248866,19.878898861989818,22.859955641711743,24.602232554088175,25.994798553429185,29.4855815292513,32.08731999375285,32.58923506549434,34.14497454047323,37.4003828000738,35.14192411599027,31.817095577498176,30.62911507211075,28.002359816381354,29.260616991288842,28.404416194886743,27.582164941067347,26.64647738644971,24.144878695979465,28.568751808540522,30.30682695936428,31.149951565802066,31.879769590235053,27.825565439462256,33.41192197902815,36.69767846451194,34.67894875812448,37.21731136594498,35.97098366892159,41.084020538872636,39.86246058983658,41.760396703040705,42.20345401956464,39.076936993716004,38.895016832554845,36.79605400446561,36.89662153994565,37.58360335880547,33.251580110398464,33.618423189649256,31.645535048484234,28.08043882716917,30.869338452452688,27.304921033494807,24.61899405025505,27.97936154632027,28.77307417616132,24.018550587462837,25.062098493655725,28.109370403102062,26.635731142346806,22.67425707911992,25.59365151673235,27.14591688789242,22.889893147538583,23.406238897722677,27.79781461830148,28.956328849335478,31.77130843907009,35.00440929346746,33.12594178974908,35.018810469733836,39.3721307763049,41.468712374240695,43.82499219281778,43.039266761093295,40.936643048996224,42.08495707586202,38.64910356740563,43.306162669948016,43.80482929431881,38.099393640534245,39.67213889782342,44.40572418915231,41.66378194895318,38.779784530802104,41.63434015190458,43.84018537330807,40.25827954000145,38.11047805117493,34.537870836327215,33.667062749123254,35.98682294945305,34.31314320833334,34.201211146445445,35.62048640179777,31.845747888156723,30.21170790405125,31.749231258055538,29.831519299422716,25.78203703596751,27.002558925058686,27.29686360231894,24.386045302526792,23.970243403235457,28.718912609562196,27.60347569298214,23.871234803361418,27.683585885431704,31.31435367397551,31.70928340897395,33.65879210539439,32.29554693148752,36.68268999154789,36.55169522970852,31.8990754205827,35.07402918215143,38.01400495920652,35.70949039305855,34.43188701417565,40.28132628308919,40.75000766677369,36.2829861591402,37.998592250889146,43.04546831673614,42.30264643487483,39.08397965646538,34.97841493284171,39.97498404439387,36.735975368986004,36.40976773754697,31.42952142434651,29.152890500854852,24.313963357102693,26.991779776492653,28.068128389137897,31.745658893055637,30.94256824014859,30.170013104113426,25.138516680045345,26.072020330990007,21.471488899043376,19.87306826378866,19.97092604051257,21.310696767598746,18.141480757652605,16.089754328621975,18.198216588642975,16.873248448833785,11.88783964003226,13.757304084012741,16.521872303887612,14.430921105365602,11.50601159398237,11.891260089454352,12.408100074664828],[13.747246352446165,13.410002536141867,13.588693085560546,13.040454734172338,14.186398742407743,7.421945991506848,8.154638112717528,7.208897144526443,6.6566508022712725,11.363324673234395,12.657684953277633,12.447673183752821,15.306010830892571,15.814626288986746,19.07639358449659,19.952298203418,20.957237362451774,25.523649679989457,29.696076469783893,30.996990491562045,35.101376043377414,38.406043970810224,39.970332632530095,40.265003169779504,36.6690227694835,33.131956642788374,30.360552617418275,26.111698370795278,25.006626304484,22.637210900212366,25.527595300016355,23.060039639756006,25.739130641707835,30.286107946618703,28.6063854526302,28.46671273681512,26.415194266326388,29.397978050031327,29.9974856697987,35.404560973744275,34.398284760041456,34.61574379260777,38.5333642757942,39.164953645754395,42.375280240132724,43.257999608972504,46.72992778242844,43.703116750114326,41.005008521890716,45.78214499902325,46.37105332042052,45.68626831523527,46.055483913155136,40.387015558472115,43.03215390618334,45.8538903497691,42.2912758909765,40.882358433722565,45.479585301634856,46.32287263154871,43.315209234539815,43.72869471938231,41.104362215238424,43.91768447118064,42.055103472031696,37.69335909010527,36.00880640051656,32.025000128458565,30.995575100438362,27.700299002363074,28.35319221454252,31.04553581992472,31.161717622562087,34.881334470208294,32.272692973182835,37.81990112961497,36.648429032543696,38.094297289267544,37.2343900009913,38.89499787304591,35.86529361037598,36.119599912634996,32.6766474708639,34.295747422148736,32.78859398873798,30.399087854157045,32.807776360159195,31.597082868496827,32.724440233031366,34.04422194654901,32.512836823268856,35.31466989963131,31.533309695312646,28.421052818854545,24.042188435355627,24.207295718425545,20.372437176579197,20.867567437010127,17.44303549118822,16.809106342600813,20.36514039233509,18.53882862967222,22.27191812785796,20.299383492406523,25.05567252035249,21.11842153488482,23.73127760589062,24.718795831598506,21.209041988468726,19.048531799627703,15.220382331456785,16.254937077331892,12.495236256472284,16.010527281671546,16.4060287234962,19.310960684715678,22.11070800346147,25.193042313228993,28.597666412553977,24.92020146567438,23.261273440866262,19.676632202323727,20.059413690484426,16.86093734372023,13.243104345527739,16.38220358276848,12.841815059821378,17.117783645734995,19.234657693502463,22.533551237825666,24.58954982055567,27.630365843203013,29.536741076370745,28.169164339078847,26.685824659716197,23.043482672386745,23.23525305366804,22.559751090732757,22.720284555581337,24.021192888634566,28.177854988190674,31.905579138824134,29.02035636404789,26.104504954091464,28.06734475102339,24.638751437148727,22.10068380276938,18.883050886574786,17.208687633323464,12.870310651024779,12.311801891561926,9.398065975918021,12.79073864752838,10.873021822746415,12.581973295980571,14.449005702626312,14.230315174863556,15.252638669491327,17.759028129876516,18.509383793489285,21.541135503796166,24.237986649433207,25.112410375484906,28.747495223086247,30.72605206542618,31.024869919251707,32.091309458093455,35.237780355819204,32.589919172184736,29.570437393005715,28.258413768745818,26.10349251018316,27.58111446725058,26.963213553127723,26.58635264553376,25.670654081926287,23.958275896913246,28.1576203292826,29.676232621163994,30.04405770023857,30.485537830157075,25.92309946405505,31.257460098039882,34.51081846230938,32.6986404674514,35.87184821437052,35.1698546414076,40.0895954655827,38.96230484101454,40.32903643020721,40.425589782638504,37.178046339303776,36.495664296367146,34.0978962050022,33.88336411031211,34.195040869298154,29.745925090117762,29.82258585429,27.539201144713246,24.021291061332057,26.501992700925463,22.986653582453393,20.301483519081177,23.445094907148146,24.15690881645848,19.370392103232657,20.471939918049465,23.403983762378246,21.970821457269558,17.989739835102927,20.981401559885555,22.558758714884416,18.401754871196637,19.087409067986357,23.4622787878541,24.49515702317374,27.277944041662003,30.46093196387792,28.46045651720795,30.34735076353074,34.66292211822972,36.82625026602088,39.128375505370826,38.40983182018962,36.33487337275746,37.60441118743703,34.29683214121811,38.97294887506892,39.29187555913263,33.59424517823628,35.35930642405876,40.024755963085504,37.195493663090296,34.44446310403767,37.474719185328354,39.51679214457381,35.89854474431838,34.084560308622684,30.24204207196513,29.66783929801537,31.892306352558496,30.040753661806683,30.200853136483893,31.640133034341492,28.120878689151258,26.14779795233468,27.541539235432552,25.9696332235743,21.788268381791415,22.61254024773039,23.116154462194118,20.292070265231164,19.496533068858152,24.338296341234017,23.477544583626937,19.684717456464185,23.25737006880792,26.956646553342416,27.157241609013344,29.137102698788343,27.78518848717817,32.152969675886496,31.920269003138497,27.204103542544452,30.450877904975115,33.31984658921183,30.994526409071163,29.787737073936306,35.63238352450889,36.0669314863558,31.667838320105545,33.46692219467068,38.448378246694816,37.721500987036,34.58647566023591,30.564462117239437,35.62949693752663,32.564832625162865,32.04586062524042,27.1970374616554,24.67781567991002,19.927582588625953,22.94359000492866,23.928632876274023,27.6399447580798,26.80919949300558,25.774233192531987,20.924803044723724,21.96855457821549,17.643177358532437,15.44419443459827,15.754735982117872,16.96315188839374,14.245388005372297,11.74062315147844,13.530215798308973,12.5536945879623,7.607231777192053,9.072463778247279,12.154538350731938,10.660928057597527,8.01033930547619,9.128758036972068,10.417153167649095],[14.042638315384824,13.03027861228523,13.006829483206749,10.655238780189398,11.761591677027011,5.302919044673863,5.497100208859635,6.6438066044039665,5.410993810141402,9.37293502221312,11.512409666920187,12.491408654364536,14.039234086309044,13.942797571718865,17.973480859813797,18.95080482313205,19.113165041382864,23.77269308040951,27.495422134393085,29.02855327418932,32.9867523795682,36.377913162972646,37.70769233540403,37.74829159011353,34.198830690058344,30.60916497315907,27.98098865841058,23.781162551210098,23.232831242917403,21.447854399970645,24.677051731070403,22.7261046133497,25.839673048826196,30.096426795981188,28.096919688630553,27.381466286944438,25.588996374389417,27.797684926588676,28.135562870295335,33.742195599118965,32.15757146871568,32.538438226584624,36.5958639923003,36.92684655414082,39.95120347768238,40.61495836890765,44.225553138929314,41.44776726553539,38.539093801907924,43.32765672046726,44.24729385037459,43.68904431217515,44.278300149256864,38.594454001192126,41.64789723970448,44.30353238778073,40.55350384980117,39.53008153170241,44.14822114391484,44.57989600970333,41.55147115576333,42.249985572823135,39.85741839987689,42.38291131095028,40.276897348528294,36.0809322722304,34.18235071503131,30.429097722538867,29.05535279431725,26.073151534843912,26.402814398327024,29.199121127568983,29.680197248029213,33.26242143312228,31.032838774682897,36.83492015214138,35.51488068322098,37.39673983661911,36.387694720211364,37.849325502120216,35.07494940419522,35.05838594167422,31.999598808314566,33.30984606902777,31.3771389198002,29.199566026334796,31.48656912573604,30.881303665632146,31.61158725774518,33.55238554816915,31.78702202248253,34.73679447068241,31.08258613031669,28.273204120027636,23.68031416010674,24.106513161532217,19.97335265767127,21.086326067725075,17.89373275676618,18.338444104497906,20.89656194033083,19.462121316576095,22.368630004862162,20.482618543397702,24.728833232711995,20.62028511186211,23.57060006764447,24.083453604112552,20.50750385117032,18.76130859965539,14.424703983546804,14.820516971261334,10.67141144830956,13.503261409239068,13.863967157317743,16.325905776624364,19.39465998332903,22.110059703884854,25.84291635551022,22.53231078946625,20.583832009582242,16.9576827283808,16.769134142178146,13.557217081168615,9.930660406135157,13.334814505975782,10.611894579400902,14.99199948982863,17.576073858590796,21.244009192554294,22.913883567590457,26.394644687490867,27.874844016868934,26.93200669554072,24.73980162198766,20.862275103574966,20.71138894977101,19.655131186377982,19.466659075903664,21.00335016347364,24.890230827967965,28.860320969306184,26.101588747820067,23.2804756990613,25.589460265889464,22.49043324995929,19.731437690860226,17.03641149604263,15.748862127653279,11.675840297467449,12.214167002332083,10.369559782745055,14.699205419878808,13.841029467197007,14.7511146966094,15.908341839401348,14.673385597942406,15.612073020825587,17.34380229616473,17.809799399300037,19.867829349667392,22.59926491688361,22.74061610511677,26.690772224168004,28.381345586769083,28.197942157760128,29.580137910210528,32.51057643175252,29.89620375596793,26.683302063878156,25.6657029339736,23.469939743125945,25.448300023327757,25.23898783717265,25.21722059390257,24.882629740611165,23.192232759413688,27.828749760360004,28.711217279764384,29.250296235081827,29.023647487445537,24.789547011417877,29.95422764532028,33.013410369670495,30.916062400310594,34.06986437124728,33.254068952501385,38.16139811135952,36.54438369404926,38.05804715971759,38.05658402811122,34.99333901090212,34.31830924392633,32.02325773089707,32.01778367718398,32.444546168962766,27.895441743283573,28.419614872218233,26.23258385757786,23.08212098476026,26.007581858823627,22.94659153330009,19.76068173630997,22.744342116833945,24.147539668297437,19.436060233495443,19.570723666599015,23.11954384945304,22.60612729381416,18.051473216463567,20.799398063504576,22.989032091655,19.16818387078954,18.99977017227452,23.547834759663072,24.1631494774345,27.54428935288976,29.798163446293298,28.11942683864456,30.475741634841444,34.72785126477303,37.306259327206135,39.34532108730585,38.91821701207773,36.67411643786633,38.03662038765697,34.68703952979831,39.15637817208586,39.328736631026146,33.379802556351834,35.149951516597035,39.593029354416934,36.531362378527156,33.6718997021601,36.601957997067814,38.405068321421815,34.67525121369551,32.665834282048074,29.16721338354461,28.94138912558132,31.529740896560654,30.151079881077212,30.663672851647046,32.6306128431759,29.081653410244922,26.637145459413144,28.571384267344357,27.446594445522802,22.923487713950735,23.548508024427782,24.737131300603032,22.1586456416921,20.79084543739331,25.798751861688842,25.4149184871286,21.550786496724363,24.58589391536731,28.423714979248164,28.17266264033912,30.190790366131584,28.633313630531877,32.85312165802967,32.58067883583532,27.485249865835886,30.60897093853948,33.36531725045916,30.875121110239725,29.28630388145867,35.25073880934729,35.52072552713173,30.777775706396945,32.45225783076304,37.56058271423918,36.67866145983736,33.303391790620815,29.126140532104092,34.087273377607374,30.82568902572172,30.84737889454391,25.757312782333752,23.574905082016894,18.811918254354225,21.235866298743247,22.07844340384089,25.67474258971325,24.821812221139947,24.318080963382172,19.236675426008773,20.549455427167278,15.843309209230428,14.446670071542169,15.72668311430266,17.644290653602532,15.381847173120878,11.865720223709806,14.169370914424038,14.331687084723864,9.057273316389187,9.404631151531389,13.784225123700097,13.299993348778349,10.94550395750442,12.282834755650393,13.510720960409381],[15.981856275626994,14.32881729541343,13.930032184879392,9.682830810292241,10.163937157900616,5.630890905186849,4.242014118215796,7.599529404709759,6.084745022967913,7.970093378156363,10.984919425344879,13.106778237550197,12.98735252607905,12.274296779488582,16.977201174260124,17.954045616618,17.1110080460685,21.762257582887806,24.920568185123606,26.647832778269468,30.410356449112513,33.84560439697577,34.92618467511395,34.69614450447565,31.20908128023684,27.606624733263732,25.140863880171324,21.05893262717114,21.163415783781144,20.088525608572517,23.673152592824884,22.29294908481549,25.8155003689453,29.670886881351272,27.335015090545596,26.000687267288548,24.512089967376564,25.815461608026403,25.85703775510864,31.618402695042107,29.420053963366385,29.973414511652756,34.14224954882139,34.15271096413594,36.966183653551646,37.40774209362,41.14435662637122,38.63131696983253,35.52930241343926,40.315697407007484,41.5649483125466,41.15117398070892,41.95642481612871,36.29229903450492,39.7605346952953,42.20950012876174,38.28470091424874,37.6790539167138,42.2839219892592,42.27955403317322,39.25224007866583,40.26131745722601,38.143608046684136,40.35973659746404,37.99192778313708,34.00395076501381,31.93512776422065,28.482844112751845,26.799391483164385,24.250921933175228,24.249547904522792,27.18008575704013,27.998273494230666,31.330458793453786,29.506860203935876,35.506259199895275,33.98842171589443,36.319890967015674,35.134373673327545,36.350428841290395,33.87607246088948,33.56617361311095,30.973249739837684,31.944555313055208,29.56940472403901,27.63979165841739,29.754568841946234,29.822448714974453,30.1234040522084,32.727889291185015,30.76472874645728,33.87411698778954,30.42540096802278,27.987493511457576,23.276864302604917,24.04084606927636,19.735510293076075,21.36281017264156,18.520651308533566,20.008287079272908,21.435251695382558,20.464284110063403,22.394620442431172,20.719057236205693,24.327494408808132,20.214923292489456,23.509756957871712,23.568483734011433,20.118661319213114,18.793975715345216,14.19233112454413,13.639859473161227,9.308791508153126,10.927551366434052,11.170689794620708,12.976152251996599,16.316638842065252,18.575217649789767,22.671052079273565,19.82893240652513,17.619623333608494,14.028176182008178,13.109374843443756,9.889792237834392,6.350033849449364,10.111811923840012,8.97632636343424,13.071287020009699,16.172053516096415,20.02731647745833,21.34852819211779,25.225638094487394,26.13258400444344,25.604759586129553,22.673956858884065,18.564916462231814,18.178726824447867,16.531247521283724,15.86092946718532,17.58148123756729,21.127880059396958,25.308092094014814,22.69320280660349,20.00360327199388,22.66618621641943,19.988840357385037,17.038499220807736,15.063416865897443,14.333228943367223,10.903281578662659,12.680831856380532,12.027650834196105,16.895472671534115,17.009679535428653,17.177735989781638,17.593756985221617,15.422525342139897,16.23334740752398,17.013114949512364,17.19772214554844,18.05126430722484,20.69077464628206,20.009303176271803,24.24436264756807,25.640820669415238,24.96671199388502,26.736380267789567,29.44340190010267,26.96054961383128,23.51452934862975,22.832095832169735,20.537476514418877,23.013699919471133,23.242133643519033,23.585753064003317,23.90664999620027,22.250070770945563,27.267070881336526,27.441988187417458,28.189137352682888,27.251609784252803,23.51131477461914,28.42466837156745,31.237907271880516,28.829127065056472,31.860327560731516,30.887605107262072,35.7566957266443,33.6262566307764,35.32769267566763,35.26256548755108,32.42820547763756,31.839373483475647,29.727791641157054,30.005672192127026,30.63955756848856,26.084983300169547,27.151742261485843,25.22809871881681,22.505630232444247,25.946432656926294,23.40808307438132,19.8144354137332,22.671958700058187,24.78203245775893,20.323433765142894,19.557797444953085,23.664057273098983,24.064920209108337,19.22767942872468,21.69093105730365,24.42783455974867,21.069899337942346,20.196595583310327,24.765023089394123,24.883972673571154,28.781322685450423,29.97625486041844,28.59692495666159,31.400883533332816,35.45595299236162,38.46145059273118,40.13345147957076,39.93187137297658,37.473241445267355,38.84042349437827,35.41154358401062,39.600209294028055,39.70456197984673,33.5515969873742,35.20851585799726,39.40378240202242,36.18545011432328,33.18004206145038,35.89338863098235,37.52037557296539,33.754029994923066,31.407676915741085,28.427545112007262,28.433007612544223,31.391529225831594,30.600318416709484,31.387642285377215,33.898611638616885,30.28823974622796,27.477455332860863,30.019322380069276,29.278943400550556,24.504737206757106,25.06499507604017,26.905391538297298,24.610336491075568,22.852412306622238,27.923827650496328,28.00814676694538,24.2318321262624,26.75416261413315,30.630599185491032,29.937224311586256,31.868497755600544,30.043768536573264,34.05165729217238,33.86017961476871,28.462884572213493,31.30017219613424,33.98210568679646,31.414230238076712,29.353476801881246,35.34306447119977,35.54300924452226,30.49387470421041,31.891162998662548,37.11678474234889,36.16638971194097,32.571316601511235,28.33407807684508,33.140198409634245,29.761928262806293,30.440597477414844,25.190139707210893,23.363209681297622,18.809223564971187,20.497268045138995,21.026742093333542,24.358809641376208,23.378957501648813,23.45797245952483,18.170219792906956,19.589596147704505,14.577069565620999,14.418888326417694,16.44835667239312,19.040584030033866,17.17502123839961,13.077037681554721,15.90886485513874,16.970445208244485,11.667493253944341,11.461166811777879,16.566361591425288,16.75828400830888,14.609885742851935,15.900284956362475,16.993142170249918],[12.356476470956865,10.524035490483309,10.790175331065788,5.457331853931362,8.720982036529154,5.720656514684935,7.612711516907852,11.544765438041628,10.966353960858005,13.119168258964166,16.046018481990373,18.153822991337368,18.144133187450294,17.160853880688553,22.037016935402086,23.098046588195444,21.9178158847642,26.502604254011434,29.195179410522694,31.06295343093368,34.63266936503868,38.02783599556493,38.87934179730047,38.29606939134077,34.88812718826907,31.378607443821014,29.048038243368026,25.196137807418527,25.824888916729005,25.037037030490126,28.78688983358097,27.443315528391985,31.005720805280205,34.85692003762041,32.42847188908428,30.9486178826392,29.384758693792538,30.297581421544297,29.96926812855377,35.546707321264485,33.00651682825048,34.02587432132013,38.19114812719976,37.760698982794835,40.39528966518609,40.40692922130971,44.26892970312454,42.06539980055171,38.53452876396542,43.13331599783574,44.79507632999737,44.369941538763,45.52216424335962,39.94132697329709,43.642988642187305,46.20983870975273,42.28971934127036,42.06300584789144,46.64928676171083,46.33444042664584,43.5034767987074,44.81806663780443,42.89818717288716,44.95787639872321,42.393931008645794,38.56587197133428,36.42354490646659,33.1972061970245,31.228924877376695,28.901146408569044,28.568021291399205,31.341059610975712,32.58284424385831,35.89574274864204,34.385354544964066,40.45391801724589,38.895053519912715,41.3800214059629,40.08894334178704,41.10891905420287,38.62511062816456,37.974391852082974,35.386533388622645,35.93657882404149,33.44565894523081,31.986643179693754,34.28816007415906,34.632953924431504,34.98459390566671,37.82746164356091,35.85852741552148,38.97082453335267,35.54663938284374,33.16064011211399,28.439029808252243,29.08415761497932,24.742748670665645,26.52709250264077,23.613780629879308,24.674454986425754,26.392168037761813,24.842448160495902,26.96959234814576,24.599970119760094,27.689701994813074,23.132663125564896,25.816220457176083,25.1940103322389,21.21562589022918,20.777505801374808,15.970430562501646,16.550896820383397,13.004245180665169,14.407002242860823,15.534725538044372,16.510361075238542,20.212431739937088,21.665290566210288,26.284830709729665,24.05587268376753,21.525168459662122,18.093249354814816,16.106542303179705,13.161416845548004,9.971526682194407,12.371788292207976,10.640991361561696,14.75036989054242,17.373321197190077,21.95210940234375,21.99879518145075,26.110585608372585,27.295666471680846,27.582308766536457,24.221924466038015,20.487054087168463,18.57751865989565,17.784641114071125,17.258025025693147,19.89995269048249,23.082382687240443,27.798764761512974,25.76127036691495,23.15960590232185,26.19770835725279,24.087318336836063,20.947690211281294,19.47826371676376,18.523531627963894,15.447291706657502,16.510765032296685,16.21455054537578,20.549996410604923,20.259064476866914,21.33492353215961,22.01940285538937,20.218787418005242,20.532184435393315,21.75806034070801,21.08867667830108,21.594249226763583,24.818452875280016,23.273007195843658,27.71072153963202,28.25574848322068,26.750585623203097,28.320525110735243,30.45992284932066,27.477138422636564,24.290519425005105,23.980266412279168,22.41026679443973,25.619842738167637,26.401112604180607,27.30429635771604,27.831741046557262,26.71964954582624,31.56626674560258,31.468228790930244,31.90640587463616,30.47805833220645,26.53797081390748,30.94261442792821,33.52660188148272,31.207303996816947,34.790853112779295,34.215331371138035,38.80500551253078,36.34108170600922,37.679672411478684,37.14072607415059,34.435244426711414,33.23199919501661,30.851461063052163,30.846295108608356,30.908314370822563,26.09120890323309,27.023181251193122,24.42971033521904,22.33693864942159,25.153684383702956,23.103102633871053,19.37042992493099,21.095810439552032,23.34900513951809,18.940504540281367,16.989414516677467,21.145777061350454,22.157426112765545,16.546413589962523,18.379685332886638,21.37206075573439,18.25413721542448,16.33243579395025,20.859962940703543,20.966942875337057,25.195005567380285,26.147605411618617,25.318456507748458,28.28496903176663,32.620913350451076,35.645503150005425,37.570985442807604,37.9458900833595,35.82200995810722,37.679781418225474,34.74262516813417,38.90397245285879,38.40096124668049,32.28616846700954,34.53559689483076,38.355778653842286,34.703478498160884,32.10979819024396,35.20835786935738,36.06132660117155,32.02506746617413,30.575878217383465,27.240701201598,28.400892189842093,31.28144033400307,30.234549952669088,31.680554910677735,34.0958996701329,31.097435833886813,27.747474552055095,29.767491353203265,29.6651521899075,24.961809819869966,24.51296816940028,26.432415272991584,24.267035214063092,21.733168404811167,26.60635348905375,26.826413789376875,22.6969934497001,24.61968476410113,28.612573499646462,27.757411289683237,30.18177154209332,28.821151323192456,32.69608523122405,31.80279109378843,26.344981341930716,29.682882175979326,31.779921509963717,28.856046884654507,27.222499780567837,33.24030371576097,32.747261305781045,27.636251774136912,29.63949911224599,34.59778002518494,33.080607339162036,29.41820820497473,24.900098003349402,29.449038740391753,25.719667497738232,26.310699681635757,20.946902675190522,19.687740737955792,14.946663428885424,16.12658304255275,17.204221274826065,20.67762106857295,20.37650536466208,20.9416475678672,16.29856528712663,18.806188792708305,14.306201401416255,13.248409121009255,16.813231586644022,19.04182225559837,18.30076367676459,13.50536118683296,14.888553217590278,16.797649895393405,12.743283470538316,10.09507950629665,15.08290444558517,16.376799667824475,15.03577925446654,17.125376568215138,18.7499913044237],[17.271023812536022,14.968772760872081,14.743255401332172,7.9250527542508005,9.665039228199571,10.531240829339465,10.843292863480693,15.419581942238187,14.640605682403486,14.848324179473906,18.102910116877855,21.11620927363617,19.488322540368006,17.80655627676387,23.007648419796592,24.04067654870408,21.618430927648596,25.8026776450903,27.374441935428877,29.515659330107106,32.57450114115862,35.933419232931676,36.29865651464342,35.20633762567974,32.04799386132748,28.66395295019537,26.780190178520566,23.420318089556744,25.10885403861216,25.40634675483057,29.37633643143003,28.851015362471593,32.75872015533612,35.99530578099894,33.22349250032192,30.959052677072187,29.89120295570087,29.439649569387033,28.624062266182367,34.181389998143906,30.675609577166583,32.0163134656732,36.21988056540441,35.19982191308944,37.36007660182285,36.89419791878916,40.922199585837795,39.28738806200131,35.42761302209642,39.87882229388225,42.15177798622082,41.97618114342972,43.5130315874305,38.10790076266461,42.40753345804634,44.611686719784565,40.50151249261826,40.97803079328409,45.43754790983913,44.40533625753876,41.65322057751276,43.45061622124676,42.009741056335045,43.51688946844335,40.59268080808488,37.22596150730032,34.842839165717265,32.22901992018411,29.795133426579685,28.248241853341632,27.360768627629152,30.127088352206606,31.922588277324216,34.76746844428762,33.97782229570859,40.1545511064202,38.38680742185277,41.46328450687295,39.96810210650395,40.60330586594494,38.62618068709578,37.546090401292815,35.70387433046743,35.71038842059781,32.63755501804091,31.665154400622516,33.63917911619898,34.954875739388925,34.6807134961239,38.36596648142753,36.16067460172604,39.3747778179265,36.31294858835233,34.485257911481376,29.78167300300138,30.764346208260758,26.399501471260066,28.755867439561154,26.34089155118271,28.428990934886063,28.961804507740798,27.970947118493736,28.949283631443905,26.896769771206902,29.027072349680278,24.65408724679447,27.574977177434437,26.29013383315568,22.657521136089244,22.906041961304993,18.172422721897913,17.66404860101882,14.620724901016416,14.086859767787104,15.071804394456178,14.482370199498918,18.241003195474356,18.415162260859628,23.47702253931281,22.36663005171171,19.52520804648178,16.633410597263154,13.222469201787936,11.114077761978406,9.50527365869836,10.90773912280093,12.000447154192393,14.79075470402082,17.71911788450336,22.299219923510258,21.525793137304316,26.067809429622706,26.33494092741019,27.428614989537536,22.99075058232838,19.260831063370798,16.59491724770296,15.048650288268025,13.592213900268368,16.791779065884082,18.834840510259077,23.928546921073895,22.46009716035808,20.335675661131294,23.892738854145126,22.766129845271784,19.572852786683367,19.459381868922762,19.31601027412995,17.403839270937155,19.533917889003817,20.23933717979873,24.94683160715789,25.478533053788397,25.84276801996656,25.873823440734444,23.254771222401068,23.44601055231252,23.6019999433882,22.593823550706077,21.414956339798632,24.35304305556193,21.449922134632395,26.10319784780826,25.922380729501725,23.34623392058122,25.512606050255403,26.976657110169302,24.192904206958243,20.77225554623332,21.275278619326908,19.871075360334252,23.955711926956024,25.51915679575517,27.01944694320884,28.464486083419786,27.510075421765073,32.62783961186454,31.545834300507366,32.2206143967558,29.741069565671882,26.692667487535033,30.428960525935747,32.49005749976365,29.77845035071609,33.14344347750566,32.40975574703098,36.73984015700084,33.40411699668512,34.95019795389372,34.20338473293424,32.00288752679089,30.838901330277714,28.79255351933221,29.205474400386688,29.482047054339176,24.79316699264102,26.567382036415076,24.395292873542534,23.231137101453516,26.558580441213103,25.423629110698343,21.35933163826169,22.60596109467763,25.77383829710766,22.000444971124786,18.777725485886968,23.442385776890884,25.724829547683076,20.090874565632877,21.295999568150794,24.866602066000677,22.578807668499913,19.8087873115555,23.976687068057576,23.335358925295097,28.131357048255996,27.3623483695293,27.15390143258949,30.6904547200515,34.617308531209765,38.186880502527806,39.56303762459857,40.33861807679837,37.99421103834575,39.874651022095975,36.95213074975895,40.606660105200326,39.9335585493078,33.684527786344646,35.78205253951814,39.0696573073405,35.19490891881869,32.52195696110688,35.252221062409625,35.64826519551175,31.608160756780503,29.836961342475085,27.419562890698874,29.10201811383762,32.416474358483505,32.22273480841125,34.07245188741491,37.14294351642952,34.18165602487281,30.420773780159177,33.128375344019986,33.54388880354686,28.675889303313053,28.122840321839803,30.771774126914636,28.99706792680476,26.102285384912065,30.86081903361388,31.640526170195447,27.73421529260121,28.962363602478803,32.87171509893771,31.460668402584453,33.72927192140725,32.09267107230175,35.55041328271064,34.72384740333047,29.032843941857653,31.887196620544692,33.72721434741983,30.739995415067977,28.516404394279434,34.35812130983818,33.65049579318714,28.214209254809802,29.799673992166753,34.739354057932665,33.03233281657867,29.095974099617393,24.59074064433195,28.60170131364105,24.69076769643709,26.448574232882088,21.05979391740126,20.679942961671813,16.739828429903525,16.283750760813305,16.806685596493914,19.52362184018281,19.214848606230024,20.975696654578574,16.551800341365226,19.25061444923082,14.912522589962034,15.703539049380797,19.957112028903172,22.797886340202176,22.52583662206691,17.50625710078001,19.32405276520163,21.985554036148407,17.96975951716855,15.39023908944835,20.58532242339444,22.323538830131454,21.05900681384145,22.961691009652036,24.384681180639543],[14.604797741560686,12.884346780993502,13.728663659302644,7.343932192415352,11.52860503442098,11.29752457500689,12.879239522505157,17.173837129749582,16.144568286548385,17.252635746631658,20.134419170939374,22.95724105236813,22.30882903148614,20.426861410906916,25.597735335096512,26.94339331309156,25.007359583294793,29.258561095907964,31.03148407819135,33.37626162974402,36.47390581479251,39.98201978893158,40.325783546186656,39.30805614156437,36.20655320357391,32.69164188278067,30.901139979904947,27.404031543245928,28.81694174073423,28.821577062650128,32.3868574034917,31.809215266507863,35.46926398463287,38.978063808662135,36.47645888679302,34.46907480931385,33.38910908980504,33.37196749465368,32.73537329046325,38.35731346078115,34.97605753617238,36.17200095671448,40.414934337202276,39.5052544513435,41.66173337646874,41.21868976979158,45.255281373259976,43.6286635841927,39.79553289180389,44.24155660773091,46.51001323749437,46.305126095306484,47.809076303454255,42.375503112589556,46.57378543667288,48.832994749330624,44.72656007963367,45.04177983767247,49.53508278932824,48.62852362147755,45.77230431127363,47.390880841574656,45.78756365697972,47.309348021905016,44.530490171240075,41.1047408617431,38.50463768193942,35.73373110152649,33.13191808436374,31.246971849057264,30.308862820355778,32.79392752597617,34.74381911376863,37.93241649130275,37.15629881943988,43.35733525785812,41.908260451569795,44.83304474898655,43.5544771162243,44.417332156666866,42.364409051502314,41.48303558469445,39.41917798338808,39.61017940381721,36.69138328838581,35.55954340733866,37.56029298994363,38.56761902744775,38.34295771598651,41.6776965479006,39.371854388946396,42.36171583329051,39.10009194344,37.09728183771775,32.35089503524487,32.922004744783415,28.513561290550356,31.059940772389545,28.494136723309353,30.11325508241159,31.484071042799844,30.31186583088528,31.927647057803103,29.700943941886646,32.222867554437464,27.661506387740854,30.3008823864887,29.080497052250838,25.111992397725068,25.365707940168765,20.556887287462914,20.83247589624609,17.6152340067079,17.839573706961612,18.700917350686513,18.518141505292817,22.17024670081575,22.499440605117318,27.264778408218163,25.96261873896663,22.97698896248421,19.983571442526493,16.96877648279639,14.932721827529527,13.000398708960514,14.901551909070127,14.787819672613386,18.116049238981198,20.733537970831424,25.529885896313782,24.572666196051053,29.011435592213168,29.73056636401258,30.848380199303094,26.65774805716799,23.080342048651744,20.114091794947264,19.139881232772726,17.913663035861685,21.149040311641194,23.12655495456543,28.24293436875982,26.717765991928317,24.635436747235527,28.15999301218329,26.81597481956838,23.635487716116767,23.13761754177602,22.751468131025252,20.272910235490087,21.88342773411899,21.905053026285298,26.385731759411424,26.047278235071143,26.9708497270149,27.6457259550046,25.52177231930643,25.89740160486743,26.574921086426695,25.75481494592716,25.209202724209536,28.26187190541786,25.67487492117998,30.309390905926982,30.182513504642408,27.611961621640795,29.599562277196295,30.96248428314567,27.956683096746644,24.747809691674917,25.226074866955564,24.0367035919809,28.063099523713106,29.506922929176532,30.892416018362415,32.03368501189077,31.00939322113887,36.05798880659146,35.3355020191336,35.903189426084694,33.70097583703646,30.300636435824345,34.14522697647668,36.304038264465966,33.746277940656675,37.300390083821476,36.65943783178886,41.00313624502549,37.74834666356435,39.1964761256773,38.356428810183836,36.10471102419426,34.719156823723125,32.48884796592166,32.64883286578972,32.568389757568475,27.75035661751878,29.13776693261787,26.441470070262053,25.304872688638742,27.991776561338728,26.75007656986147,22.841956253694132,23.550894883237127,26.3299909474083,22.38042423015316,18.960744684581847,23.275018821957836,25.339894891004263,19.29549737329988,20.147757828769,23.51879865896025,21.047586968691167,17.75524854057564,21.868035134310464,21.6614306538901,26.408193098181364,26.232527004618685,26.37198537283806,29.721642871590806,34.06231065533539,37.30680791282275,39.20086291946041,40.26593414767884,38.32042880406892,40.532205204234586,37.963743863532244,41.8088434465845,40.80114316300638,34.70488807571117,37.247069470319126,40.48050354615555,36.42293980362923,34.10370044972418,37.205126445566464,37.23023343196847,33.032890637516914,32.03589616977345,29.078085739574266,31.25077909647101,34.30556084918297,33.57841030034773,35.590379273374985,38.244844966267536,35.606748764438144,31.8203750832243,33.83979757065587,34.30854805028486,29.628322400679185,28.58929962600258,30.79999205977564,28.873690702622188,25.79850482228702,30.376895363554034,30.85008670418475,26.601373357767013,27.811611904876575,31.782856566623508,30.62510510493705,33.349092163820245,32.24099204696597,35.77909957323888,34.383295401794435,28.867986513656444,32.30303805763928,33.77512453574067,30.558189270663984,29.001747360820023,34.85390032451266,33.64145923573341,28.360383185319755,30.61917253887827,35.270298520604065,33.12245249478335,29.267997158923087,24.537493014227877,28.358455096482075,24.110630941283656,25.37087287603952,19.9370871984732,19.99598799218382,15.699262546266361,15.089811456388745,16.520979468421086,19.534349738693063,19.996130866604968,21.792528911838396,17.965206740121285,21.23410167374819,17.243334659558435,16.74787155726403,21.319411136176036,23.596092582491885,23.541563416445893,18.49619008190223,19.28757008448338,21.806359470523127,18.37509439093335,14.868510133921813,19.41983886102916,21.31647882728006,20.359524598879965,22.63522269584685,24.307524812396288],[15.93292533191967,14.426348696319767,15.60316049801887,9.676886300022927,14.082523188151365,14.654113556877578,16.43362449396366,20.763235824575318,19.728064493909997,20.69151101611004,23.5034118620402,26.463372559813227,25.721677373653918,23.596572651399615,28.799030721206382,30.239201653421464,28.081191673369045,32.17355923248617,33.555469258307795,36.064966748840185,38.93499520331396,42.448908879643945,42.56079286839775,41.32496674752651,38.39062739274644,34.93324911933915,33.384946651927386,30.093611817897767,31.807529234890602,32.08028805024323,35.57499757211497,35.23063652103856,38.90256339178297,42.308735229889606,39.78986958273417,37.615645759382765,36.677362587638754,36.324224761005716,35.536398588840456,41.09160321864746,37.39399506816051,38.72012395614107,42.95369211439514,41.799212801022975,43.72157321129044,43.022574067860496,47.11176811847379,45.782962521849136,41.78927988336011,46.08993909869409,48.65310206439381,48.53625474257133,50.2284790683866,44.90206885026199,49.2899545604841,51.45113883732362,47.302309647416244,47.87269075989986,52.31233707417093,51.14334817455402,48.32750767559757,50.09735463338895,48.643365535843664,49.939210976326244,47.06658723806518,43.83305588757779,41.06930097665401,38.51145979563788,35.66506309123655,33.97193367492842,32.78519945922983,35.092884947421155,37.34891794998051,40.477777137220365,40.01513175912295,46.239573388665846,44.841603984078,47.922949165946584,46.64423258989358,47.42452699634521,45.5185469629561,44.51023116867275,42.620291629444466,42.62324456267209,39.5670490307097,38.628503185130185,40.55412204588445,41.805625290198606,41.407585706521274,44.91412440305142,42.50145623966304,45.428110136338724,42.22821230354603,40.35606922069232,35.6194320484647,36.1258139459638,31.718381443885786,34.50216868946229,32.022225708320676,33.70407778263866,35.06227604661704,33.89947490412566,35.42935675980323,33.13382013012708,35.40648844094028,30.800287559848563,33.280972805115596,31.768046885868888,27.761813733311726,28.37285122327336,23.619703675913136,24.009204463128583,21.022349168174266,20.973268710569407,21.855569029336937,21.269837532507196,24.847698167412656,24.67252101323429,29.446234956731264,28.580982731608028,25.45857653771334,22.70637425191977,19.35262650464231,17.73822113037096,16.2392106269829,17.772013609853374,17.932045479716603,20.947845091239202,23.378936971885103,28.257068870768478,26.748948129934483,31.236614794513994,31.85884211689118,33.40451549440442,28.941560581292055,25.581902248718325,22.062490360010866,21.269059974689846,19.907296117664206,23.37445230295108,24.779712376663248,30.008169492536517,28.817814499746536,26.982370659983527,30.66042932302003,29.67353439564928,26.504932256372253,26.349297113004255,26.075206027264308,23.786053778385646,25.402272584841022,25.50878858824177,29.930925244025488,29.478581800967657,30.517958349691977,31.258752281449244,29.130101741098304,29.46142737113506,30.08090112896007,29.110201562294105,28.25142518259761,31.315324223538198,28.31358755642443,32.970542858187564,32.459063848521446,29.393057578594096,31.437266707695592,32.34824720478946,29.27883296737319,26.22558592884889,27.061717761839354,26.19907194576975,30.543781611757232,32.27603320023423,33.891127354126084,35.232611692665586,34.32831855236288,39.382334822613174,38.43687085612081,38.98068963949974,36.46922628641723,33.224974361502355,36.754414059144054,38.70267898764132,36.119331265247325,39.740286395272534,39.16876834203456,43.32395031040963,39.75114968411107,41.14272381982939,40.091960538033526,38.06698657784353,36.49010458541956,34.28463947596493,34.42829708482012,34.151005692853,29.373388021365432,30.84809112432631,28.00678844551975,27.383465239261984,29.79036975033219,28.95809934246188,25.078180351092538,25.140870931622032,28.036534974263727,24.37408090677407,20.304403687104923,24.471386255808234,26.991104178392487,20.831511219472457,21.08643700314163,24.51303795002534,22.44142440066176,18.488539666690567,22.18353503896557,21.870713118359244,26.755779995267797,26.053295547569924,26.79091407321634,30.24121855873115,34.58626955244625,37.84453631857452,39.798151037464734,41.28852286260543,39.5412083208354,41.994125061229525,39.7293508281954,43.41392029567521,42.06226252014201,36.081716505812246,38.85609928662833,41.72850905060534,37.45603379128747,35.4021438043882,38.56398651784196,38.05239622819672,33.787708220822466,33.2541023019736,30.397546916194628,33.18541453988817,36.22166998017305,35.53892232026565,37.87077516301681,40.535396136521314,38.191961464298075,34.19765704470792,36.04362546613117,36.834406802366956,32.247783973080985,30.807784707915864,33.069355692064576,31.273910242152034,27.91882861670183,32.24025338713322,32.806078878771565,28.51356212420769,29.302776621535667,33.206772052482975,31.93515644267148,34.858988254866794,33.99837422092851,37.32616766920386,35.565496280203824,30.139470957662102,33.6852316993299,34.72360533698202,31.354505602235673,30.010807524330893,35.67817736921435,33.982858228522836,28.744711802449253,31.250181306226406,35.59123924657131,33.03092012431262,29.164584285622237,24.38558544096615,27.661119780596913,23.149346626932875,24.64358427685609,19.348382410470553,20.243005426083965,16.35609043666007,14.755504877153134,16.493502655797062,19.14956733633551,20.20587283173452,22.589337361318236,19.47972177191358,23.12994333816312,19.614525755972675,19.09119852656738,24.06512163366446,26.203542606673757,26.55423627855371,21.452586120906513,21.75502796704271,24.512233513001906,21.560612751532908,17.575360218061803,21.713266617385997,23.935142311964224,23.26470493575753,25.683359318510753,27.433431049441104],[16.77247519328216,16.26513344222528,18.3682918856096,13.532578190154537,18.65026715124517,18.30815449181891,20.40642214618204,24.38906785500753,22.86410454849727,24.10493507069824,26.45890576811564,29.40648827956464,29.327173679279035,26.80194864196783,31.888813658479304,33.69301288302224,31.83708293287278,35.82807246792087,37.191978089943696,40.03595432631544,42.81524824306079,46.543051367932165,46.51737821704656,45.33965719600098,42.56169531936349,38.93054435644477,37.64298568304363,34.274929602943956,35.836869480412254,36.04312991235737,38.95417241722118,38.86830550413948,42.25969816462558,45.77262338311664,43.56849956492471,41.51360103213746,40.79814784640758,40.65357161087255,40.069100031410464,45.79031191279525,42.021453886282316,43.07023135117213,47.3770065213523,46.33746688290831,48.14347970285318,47.48648199059205,51.60737689313198,50.37465384365197,46.47766841116989,50.82026460352991,53.43594581449939,53.37549448009203,55.016263460204755,49.67009332789071,54.05306440941741,56.09419283621125,51.865799963094624,52.32048465271881,56.76084787083296,55.61800208234273,52.590490436813816,54.15180051431334,52.5730820776424,53.713017239789615,51.00858606067318,47.82511268219462,44.675615177661975,42.071860431100966,38.91851947968624,36.99955329673432,35.645479107801776,37.551941308519915,40.08285597227447,43.501711762969606,43.25121718304779,49.47451970386378,48.50168246589688,51.52435463297219,50.53985791217488,51.57988216264146,49.78535589671772,49.03973357733761,47.1321335231979,47.35920560558552,44.33671771464421,43.171975996868795,44.92242538292157,46.01024704150454,45.40496922409379,48.628272762267684,45.98396226181202,48.58396687940823,45.25997381266402,43.36882613208357,38.6551677680598,38.72579783652203,34.356735507252495,37.54520184618057,35.131913597947765,36.65805609940684,38.622928625892015,37.63867482405651,39.52810134506576,37.37811895156215,40.01666710024286,35.39055868100488,37.82397228557811,36.44782373785472,32.31556434341026,32.80239068605445,28.0349745914241,28.64174594054097,25.39631307474431,25.61280538533255,26.060788069801806,25.629880957611608,28.98438493855719,28.819233637837527,33.15257598693481,32.24895282714765,28.960167799051447,26.276760625722332,23.254351901470546,21.913955242289866,20.510733927235975,22.602986523012653,22.51888494583976,25.80375877932094,28.19870900643124,33.10813973827644,31.637272439248232,36.05971392286029,36.8444692043034,38.345927078472215,33.9847953466437,30.611080623829537,27.106910972284847,26.32722492529371,24.827616527882228,28.210090805458275,29.31411144123051,34.50779581684198,33.19625682195714,31.55018960254238,35.2528459640614,34.13649836642104,31.028064548564412,30.73108373868867,30.523663521196816,27.885019771819316,29.395652232076262,28.877114835596537,33.18669146991163,31.937588833905224,33.20185331598805,34.50524345627766,32.67612386094544,33.35437241686748,34.11829808446449,33.552745992671525,33.01259314502873,35.912173419286326,33.12674958350484,37.788735694003705,37.43954417382835,34.33809507364569,36.48212863660298,37.29926558091627,34.240446610185316,31.215784996647425,32.126651004019706,31.240176404201893,35.55552701171875,37.199889290060504,38.66832822131546,39.869226810784426,38.72820093079129,43.84064208587188,43.122424137168366,43.73624309990895,41.40379333105648,38.08519082269406,41.74948388955303,43.75183035164528,41.17663342895616,44.74553224877373,44.0575036872199,48.27417984594965,44.61546750639177,46.13136491468118,45.09506472153493,43.114235416077925,41.5364796013937,39.3211313818586,39.41022485559752,39.00357998224921,34.20975894816046,35.51919915583108,32.44072294583141,31.833384636120485,33.8373534132295,32.913658614539365,29.20549312519657,28.96480517250996,31.49885971354391,27.780504240331446,23.762607426490174,27.467568059277156,29.686896931789164,23.433894818831124,23.3389134724004,26.37079447215792,24.185191570381583,19.9143144438008,23.241904892826707,23.44722189252131,28.04652949806718,27.91264521089108,29.079921533025406,32.24229766800342,36.875641175543954,39.750264301312825,42.17665235998537,43.951152994657534,42.59360035875056,45.29866610885172,43.33939114125982,47.13164316725864,45.52395006588701,39.742983873642274,42.806737369587374,45.58916002106584,41.21622146361632,39.45184094037265,42.81442448788643,42.002127828519534,37.680699438354566,37.67477967012383,34.56295610875762,37.621454174466244,40.47601394765077,39.443302779154976,41.83013390657087,44.15125425376805,42.01713926723763,38.0969886324307,39.415489359235,40.16264435543034,35.77765111219086,34.069228018783825,35.87222131257139,33.932802960895586,30.58378091728176,34.64833962874887,34.851237086947314,30.321716394259823,31.14705239697575,35.00536585167175,34.052592749332035,37.34997565264379,36.9818924115209,40.33164002385868,38.087843451363206,32.95499060144489,36.916764219414674,37.603466083975704,34.095674415523604,33.354932478510584,38.89629526518631,36.742561553958005,31.767462273978676,34.76127462508746,38.74485413429807,35.787752426485575,32.07871472425399,27.27070596354806,30.09317630437317,25.377859303988902,26.445543713110933,21.447868741829048,22.899756301400494,19.041697317614748,17.25599471483827,19.66453274890438,22.259417730848565,23.9344244724524,26.35679947593752,23.758976132033478,27.607892933359608,24.26741894179383,23.099870860298527,28.019209454904164,29.74697111628589,30.086192684299405,25.14899129609901,24.822395522966655,27.219092256501163,24.642930569458517,20.383122839782033,23.697900701969694,25.770314151806815,25.267486171493186,27.82932122478369,29.64281800270535],[16.025371215611994,14.768874596197717,16.30311529595007,12.06503051102,16.804758975954,18.285387792711806,20.855744841833218,25.0896918061722,24.657328090821732,26.097078030198563,28.976335429614544,31.65855074492306,31.104809466008636,29.265615375719538,34.45069950671355,35.77420684699966,33.636684429284614,37.78625485134479,39.11279876407096,41.475061381450104,44.31207274362556,47.66216147613765,47.748621616314104,46.32088336410262,43.40045864039271,40.14169392196479,38.52137049790523,35.38520130608145,37.213539903927156,37.41432639868605,41.19183301772896,40.55350464529283,44.27793530660946,47.786383118111786,45.16110975256912,43.037898349533954,41.834620232922546,41.4598114046933,40.44447672271261,45.70311099197194,42.04596008071901,43.763519049110954,47.88904952534703,46.462060863426856,48.342391597383205,47.35167320823829,51.42432853984612,50.24684510081807,45.971733371165605,50.019135239825545,52.78288644096212,52.5543011056551,54.4886387578166,49.283665649442376,53.691961572073716,56.0656589079389,52.039472419612544,52.8201453103464,57.2354051398288,55.94198436188165,53.40013129682116,55.38818979514841,54.04949788829739,55.3910469512882,52.40096370683712,49.20470317748435,46.6234138596794,44.140775712793385,41.35924055196145,39.75310614593859,38.55993798130755,40.85769391618878,43.15149879601929,46.22524230862369,45.74841218725717,51.9597021756657,50.41923707367782,53.49288182397785,52.06642845814893,52.6732058826093,50.60523864663774,49.328150816915716,47.28808657306615,46.99348238995125,44.00628001400147,43.42092454868831,45.6193088540269,46.90533915599379,46.783259482092156,50.3685587531276,48.10833630907428,51.132123488339396,47.92215237969961,45.9630364075763,41.21929120212747,41.73741557209031,37.3291815182646,39.87784899153407,37.20588401547899,38.43690698132935,40.00592804997436,38.281392612637255,40.04626011403141,37.192246496062886,39.11892197731088,34.2997855502249,36.19663178802834,34.27078548356378,30.075218947212417,31.264355765689775,26.718143791336043,27.88646445064197,25.439505680445098,25.63471953934154,27.13715058399551,26.49814151969159,30.212964178001553,29.830877960070413,34.84625880784643,34.17552438178673,31.103659513409532,28.38640542736156,24.850185745598203,23.167758515723847,21.470379827620537,22.25489373051857,21.682004248751294,24.45115918563994,26.25671220000119,31.27997017306836,28.933304003611042,33.24336565153233,34.18186807771515,36.25176386122552,31.8256176197785,29.013346950849186,24.696538415804408,24.843790912510677,23.977776850332795,27.7289293994831,29.10682926588764,34.39598209000013,33.66003511227405,31.779985512149818,35.45737821820036,34.70997336378917,31.49141003168255,31.351034922137426,30.726724513339864,28.51707247754446,29.552744519115457,29.858588599240143,33.8466745419126,33.2869696119138,34.91639788313693,35.72859058140433,33.89697718479336,33.838288740182364,34.89873608277269,33.35694235238696,32.56215701596806,36.068619136082916,32.791498646177985,37.391686411039046,36.314591186477166,32.91221064957941,34.49562365582491,34.950222917974095,31.527760493021056,29.027349892047564,29.982178797102048,29.796127355432468,34.31734440069691,36.277872730552446,38.19004648652216,39.50320303665381,39.04581100108178,43.84481388777168,42.840439825326015,43.058164862813555,40.36864571482249,36.898816312982206,39.98592016333842,41.74990007711779,39.409730095142564,43.47587894333287,43.34004963082016,47.19178177381012,43.62186450741241,44.5386738223516,43.09458916569607,41.14114155877317,39.021124018964244,36.599483684324355,36.395450531600524,35.53801772811524,30.811121726312514,31.959593435153593,28.64856437891191,28.673181236608727,30.23216838791103,29.939258649166973,26.336859564577864,25.253036487039694,27.99061810982612,24.85459319499467,20.052892186951915,23.605377177356694,26.620461636567395,20.530935724048806,19.78841751851198,23.084865116057546,21.787555971386283,17.008688074206045,19.800525854100833,19.369847166133507,24.22096302852358,22.98089771074586,24.55730931258227,27.95699589938652,32.31337854750466,35.44456605872986,37.577596068881725,39.691604064398625,38.39934067230215,41.27334079840675,39.633962552571816,43.1293813315251,41.183203424879586,35.55989706574137,38.81666707621486,41.1644923789545,36.62686165568172,35.159206591497835,38.58263780438655,37.2517273594616,32.91851387680756,33.47422981414109,30.3939153320708,34.15047754528699,36.9027422811929,35.98095735952245,38.81112268358202,41.25521533295307,39.578264753231494,35.31387931334534,36.56917781116016,37.917335712708436,33.65651954039032,31.421798124463617,33.626078354848275,32.1138227240897,28.31802930768178,32.03980490163908,32.76074160261054,28.537875534136635,28.520941767843944,32.201118925219866,30.786760272332813,34.01989500490136,33.69296640276577,36.648618866618826,34.2250826502171,29.135470653221645,32.939165497872494,33.222064976243445,29.66252688156627,28.940198832910514,34.21618162036095,31.75187810281129,26.821685880259196,29.908160384834897,33.609778606446994,30.44197736457618,26.748480541541376,21.99715643000232,24.497914383560186,19.73909604523423,21.053798716528693,16.194636066219385,18.214470658852157,15.113344524243583,12.374611817725999,14.766434987891282,16.988002698392712,19.08065238611306,21.861252120928057,20.164226875628472,24.34384879557748,21.85585173236402,20.674782526088848,26.107639661236398,27.73358992522696,28.910832744638284,23.88174963085582,23.074158637634323,26.19112865147241,24.43358262846171,19.595924017917262,22.788126692578416,25.662721209705968,25.68366506793238,28.359449377434586,30.307050912491498],[19.49153295870245,18.784269194795677,20.67674563870906,16.729142399219263,21.5010634546814,22.771562667065833,25.25079130992231,29.45371599722945,28.63107715854782,29.90006094148432,32.56822780680422,35.44962568967974,34.98305391877971,32.73050393400524,37.90988998060153,39.47190787070589,37.2563512096194,41.22307425154065,42.230268561761804,44.891899104641425,47.499355582642664,50.97240323423546,50.80480562018056,49.262778579589316,46.56341288984406,43.2488410694687,41.96196597745416,38.93138852379424,40.91094520730541,41.32906770067781,44.75669204645393,44.497216599826736,48.12408229293241,51.554743955386,49.05693317853994,46.815074022587176,45.89505947500579,45.317619639146955,44.321272204147235,49.6657845554117,45.699386406014064,47.30442704354128,51.4698318994388,49.95065953488075,51.57784976477297,50.455630853954176,54.57337912443329,53.67283099359214,49.38465701656431,53.36730528889268,56.360865325184434,56.261545987055534,58.27767468647267,53.14211815581095,57.71059741394577,59.88051854816248,55.75707023474038,56.66536536881411,61.03081228283186,59.538887813401026,56.87978234873891,58.86241047507594,57.58238498969434,58.6420188521184,55.66920363569639,52.66157843470199,49.743372258169266,47.41480425395206,44.297894885506025,42.75615521586471,41.30079390419726,43.29462120223753,45.93043189959879,49.06134312032604,48.943309992602515,55.17098970514989,53.875687903283364,57.071246948654235,55.79700738569368,56.47829700115225,54.63328456720307,53.42341880412694,51.576674592043766,51.293590075447476,48.17983421891014,47.566620675623604,49.54811600501163,50.97723489945547,50.54180227195314,54.15379150419179,51.6672931038626,54.487417736221325,51.291156141826214,49.46593925791864,44.73710502649227,45.045720994127926,40.65166425243213,43.61278708969607,41.09035325297428,42.470819566509,44.17533634994862,42.70569157809508,44.45249250385733,41.77777221371581,43.74635714004284,38.96195537729304,40.901116290143406,38.926109384133966,34.75428538216163,35.9810652719355,31.426294724227738,32.47160037694949,29.89934135967019,29.908602347422878,31.056738254841516,30.20688391158107,33.72803782122783,33.02921290559204,37.7743677067435,37.390739428288605,34.15306706038253,31.646143560221375,28.066728105320024,26.793657540266345,25.46680044719368,26.490587298250407,26.29134338296113,29.01511557997514,30.876011448172093,35.87777695943062,33.399671977070746,37.72527295850145,38.52309285144585,40.76045906218363,36.16564070642192,33.373506097331365,28.96269400597837,28.92828334889392,27.753991867206523,31.49943344692478,32.29686400049814,37.57391942940382,36.945094929644405,35.36576560070144,39.15527585607413,38.57696665536957,35.411867132435866,35.47750545135363,35.08219091404335,32.854172462346945,34.07047921203545,34.15442174052338,38.21739408584967,37.327824484262564,38.9279710154536,39.964568042914344,38.12528293368914,38.28809058392387,39.204179351478786,37.88110878892504,36.93134082688941,40.234987838659436,36.80051069465116,41.42029874809506,40.26425896486322,36.56164372408019,38.35861058829302,38.50293835920695,35.19927993445718,32.726132017759454,33.96228133456958,33.82026841407438,38.49385572540641,40.579094608925445,42.526770552853705,43.96569761991088,43.37299760855193,48.28765330394442,47.19263256236747,47.52227442986728,44.693208336355696,41.4162195453163,44.41412408406952,46.0580653762712,43.63427094059507,47.57622058755573,47.319543261345494,51.1059740461,47.228234520434775,48.27747231722404,46.77253839680016,45.04107173249656,42.935211580982745,40.63074019482943,40.50390932686498,39.60790733674123,34.98166810574544,36.22856080319566,32.915644880685974,33.194376286634906,34.59167328615042,34.46504637691768,30.93099161458137,29.57610649375267,32.24930773966494,29.26881477358658,24.34761885686898,27.60989562854595,30.67314310851299,24.659625979004826,23.5795847943963,26.633840313802875,25.508411296235394,20.525208996591296,22.782125062986363,22.513420444351862,27.118418447173443,25.730741107067068,27.84746567251843,31.10927727451226,35.444322721054185,38.39127061200541,40.679799883033105,43.14954609464544,42.11672806304328,45.167583449334124,43.79130698200553,47.17576253045237,44.98192263504123,39.54773145080687,42.946457792044754,45.015733818932624,40.3758159566961,39.146598906428004,42.56585297356655,40.83643882008768,36.53185005241169,37.422681888416044,34.48394015519575,38.544664160433136,41.25622150129401,40.32922805329953,43.289067443711026,45.65397357116332,44.13895918936527,39.84368027734484,40.908914915806086,42.347675373528745,38.19010487762953,35.786004307947714,37.843296320816194,36.33068993494564,32.499706706958506,35.989212286539235,36.5968362353103,32.316998545178144,32.157015678485095,35.71894754630308,34.39473159881196,37.80642988637172,37.76219977201685,40.57524608588986,37.83417254401607,32.98610386569115,36.88763237851018,36.80416789808757,33.18623300373944,32.76553181169294,37.76887899563548,34.8848927525316,30.193280212195894,33.462175307228634,36.75870730696393,33.2294521843292,29.677616379790308,25.089586327637367,26.82378125119975,22.00026610518466,23.37069839087627,19.097894092098905,21.799541320997537,19.156674429263962,16.01478824170031,18.52143020912188,20.229451025804593,22.744752568348527,25.829023585415264,24.606442827915917,28.84698375642785,26.509264543555624,25.343978712487438,30.788434713256052,32.303914966980805,33.50871199767468,28.52403217293087,27.523534740648657,30.513941241209896,28.862370832869864,23.975695196978805,26.79924561584428,29.59563316781542,29.671524894593695,32.38618032644517,34.32736940416188],[16.47269557658493,16.418828631636345,18.896745474163076,16.22576980202213,21.601345603943795,22.062394856995343,25.096733986726967,28.92506518017346,28.267060825463442,30.223985962464546,32.74364283607548,35.21461040667106,35.43364673293036,33.45634025228692,38.52752904494595,40.101456735948574,38.3859243403143,42.58152641699451,44.11754735354792,46.662637919167004,49.560610980132715,53.07477546041223,53.16310780962645,51.84642954877013,48.95888334196469,45.544257890102635,43.98766481906183,40.68272952429022,42.242074816086514,42.18720688133364,45.564961989225026,44.90587052493855,48.367667165916835,52.10333038710121,49.75635837628859,47.87702480418815,46.69024997713411,46.72665264536948,45.912704159946045,51.29228283290516,47.75926926362019,49.28321366925528,53.471641118618535,52.20253476196637,54.10958979741355,53.20179810851251,57.28664407718897,56.07078369022242,51.86214309991598,55.96056706943101,58.67248392895908,58.419208907073156,60.27946589770652,55.01368652349754,59.314623569177456,61.726101527295405,57.68441117301891,58.264986272995685,62.72541729308434,61.58652661119999,58.89953323435222,60.678084014175916,59.154930924557824,60.519713100948266,57.69168979544997,54.41900759151371,51.62136630803674,48.97281222492234,46.05795661773787,44.13625636364254,42.92665648853015,44.95746913302368,47.34950454971544,50.73535607571444,50.25692061735004,56.469281451906056,55.25437295233366,58.16818586592337,56.972129494700624,57.82599367011923,55.69447488197439,54.6495222967847,52.40634856324088,52.338111590549246,49.49403908334738,48.69723933218971,50.8900315703504,51.86929159572713,51.770130434261326,54.99952231511662,52.63760670774342,55.42489265035288,52.03669808594738,49.92831778214608,45.19209314429695,45.32496994145612,40.95196157549378,43.64300818973297,40.89689990966106,41.714434650196935,44.00834881283984,42.206476021548504,44.503762248728705,41.59994685216086,43.919425555531426,39.02099465571752,40.721539265919525,38.96537049977963,34.59921545817349,35.6580055779234,31.163012752392227,32.77736955430626,30.13651417092633,30.81365901645604,32.11310486107139,31.80042908449223,35.44340393456265,35.27581690516006,40.022268722615294,39.12375782672144,35.9593387996365,33.153563548117596,29.97193283542172,28.27734078775837,26.385040636387366,27.655330866943864,26.494665473528492,29.622974384113895,31.288140218204678,36.346318807635555,34.07488408698727,38.20449022217185,39.50791070888964,41.45630567593277,37.3215107265666,34.54143837269258,30.284404218782512,30.623720389720447,29.822937436394618,33.51099945466125,34.936046317999235,40.21968213850027,39.31419116062116,37.435785450112,41.086484032677674,40.08191257088014,36.867421646288285,36.39984652277605,35.64357291542497,33.008589557725976,33.704922127414065,33.41337862136693,37.09945593876321,35.73979312954692,37.80157959108877,39.17823001430534,37.794694676652675,37.94385498638484,39.37358832780941,38.09647678158688,37.83404952445151,41.35681201635707,38.41661306342374,43.023725102945974,42.12782312999066,38.850574793081854,40.34938343885338,40.83508234150508,37.32433817118827,34.926432378952356,35.78256622353395,35.599678161549654,39.993668579482545,41.782821925733664,43.52596076310333,44.55872168207126,43.96839274892693,48.72408935311786,48.07457770444731,48.24124659431343,45.86080113617647,42.11170712477333,45.371228315182655,47.26052570415943,45.04084721644128,49.200088471987755,49.076944601607,53.00746165626891,49.54041414357341,50.43993589486674,48.985424435673245,46.95764397427037,44.741970561761974,42.20257162913861,41.813666837226314,40.72000990728589,35.97930446732704,36.75212544283886,33.11259475815727,33.059058384946375,33.9872806590486,33.536814546949444,30.267185510394555,28.82504965515026,30.940165362029013,27.819669252193943,23.328095744229177,26.08081663530675,28.55974540621531,22.60960070645834,21.43250810622925,24.02578809614307,22.713861731614784,17.76534190981616,19.818463846052595,20.133024240737125,24.336072414466198,24.07537021181388,26.083949569695886,28.92758352127038,33.5917789531261,36.10096920130697,38.8682967114272,41.29439143713776,40.56860827086508,43.742138828053506,42.55739725743908,46.18612209858717,43.92523517877611,38.67879607057292,42.30007051087058,44.55326392767756,39.97762287753904,38.93408268766543,42.63584862418621,41.005801403101444,36.672547896918495,37.96050497089481,34.443206979939454,38.443729972378776,40.85714460553447,39.395063404351895,42.26445347899017,44.17703797135041,42.86336699496943,38.738446270868636,39.21462587153431,40.540515277273535,36.63914011498338,34.024189235883064,35.60063612042233,33.98766432806088,30.229673808091604,33.47569631725054,33.76433670674442,29.385567476753618,29.295141661575872,32.79821823751204,31.81212644004677,35.47184958790638,35.82885423119495,38.75405130444742,35.71352908012564,31.157919143324346,35.45776751119422,35.276339106229656,31.625168596519,31.79193870302016,36.79867764050717,33.81645378157179,29.420282585511337,33.12589885654105,36.28635425329593,32.720360570575984,29.393246426481024,24.780974308630352,26.749471493870825,22.00586098578307,22.37367712543922,18.217883287180744,20.65549328548242,17.724730748700363,15.272794484896536,18.35826886155032,20.533873650619157,23.207166706890387,25.66919415121599,24.605579885133547,28.893160998438063,26.67162606619591,24.606460255793763,29.841746076821728,30.86185042523394,32.12160513212596,27.392321979636407,25.73692316569455,28.408871845418663,27.34503187491928,22.206820041141274,24.226905920774144,27.008702150903304,27.39260404990085,30.225481029209472,32.272389015051814],[18.45672411586545,18.73446177608203,21.418684143375177,17.85227877776993,23.332820055667355,22.864216497526726,25.410312837200873,29.157690646197253,27.6666590806475,29.27175570525427,31.41040874211497,34.17729622089571,34.565490563046325,31.999400076734318,36.982875205311565,38.919629817933576,37.273173258438945,41.24946781085157,42.62398906370001,45.57399566047729,48.31482549380655,52.09847263714118,52.005137063261444,50.798571376876296,48.09791321079247,44.44463207475175,43.24151698056365,39.86919582436207,41.36585867090866,41.46862729035128,44.17691912736297,44.07568043262545,47.31310302416807,50.94781648970686,48.89325875589175,46.95730224289927,46.23244185025131,46.24241199700678,45.689357457584165,51.39744397942945,47.63123096690704,48.6834936614758,52.99533285491735,51.92898006125502,53.6771143696528,52.93969857427052,57.073658580822745,55.93373175375325,51.97509199954703,56.254196671362806,58.962048135644245,58.8851524593722,60.58322506725277,55.254497799263056,59.631223541461175,61.70945432574202,57.48726700808588,57.93389573195501,62.37601698536043,61.227299009229135,58.18138603657687,59.69684815744638,58.07246480418344,59.16575065358199,56.520924861211945,53.35992981674367,50.08042694469032,47.45811696561474,44.187763448718506,42.156589668157835,40.73764420362709,42.411211943260625,45.076008942852006,48.642102253816866,48.476049946873836,54.67808348546783,53.89950406139363,56.85789463944143,55.99037266668076,57.1242867292501,55.30102014747986,54.60825850784982,52.59510285843142,52.846091091422586,49.88545479408145,48.72019016905554,50.50400891938642,51.47813222087555,50.898211779977,53.960032056218594,51.26037166580328,53.70444299954734,50.29696967581705,48.339577916609215,43.65276379812033,43.46957984010143,39.151406178814206,42.41963644879239,39.954243175130536,41.149851388544896,43.582915524713336,42.443395250141464,44.66959418859967,42.358208381615775,45.092278112540676,40.35878243748008,42.526884235540166,41.086683931853706,36.80520759952638,37.42613061798812,32.73648286423928,33.78189272303454,30.603368601670244,31.08325352467681,31.590482683363415,31.2507133444233,34.576100802596706,34.37878911298835,38.593185868457375,37.70738544610077,34.37223741079778,31.718856477204252,28.80751684196169,27.513506641943,26.02002179952587,28.090533646909286,27.567485996878563,30.927960414911205,33.074101937432374,38.06442045312605,36.32274845325917,40.6293359747654,41.65975970625059,43.3120848635076,39.04566370584787,35.854418063733284,32.07156703705671,31.654947561264553,30.2922911645145,33.75793719974229,34.766893004682565,39.97977401553236,38.76029078123994,37.16130388178817,40.87587474617399,39.75017620305116,36.638084784125375,36.233469710760076,35.89270684399738,33.07980671697086,34.27117783280422,33.4840120849708,37.50226839174842,35.73579482067371,37.39559908736724,39.060510878990044,37.558644531727055,38.26077837415251,39.316927364478566,38.73989350976526,38.440688487133414,41.4554691782076,38.703304656126974,43.36239332963908,42.89807933975805,39.67374633561123,41.67979124324225,42.30292264673082,39.10047175595268,36.293583897903176,37.25803793386616,36.601226742395404,40.96373746376019,42.632691410636795,44.126650624148105,45.210434912440725,44.11666238366213,49.15257295173483,48.572826861553104,49.084189036943684,46.81251544138415,43.32060478079781,46.91801201780034,48.90275680439781,46.43677628582449,50.174088921538086,49.60113412345814,53.75501133901052,50.07214895567672,51.46247846575209,50.28143888816684,48.33151222285821,46.53424361691161,44.210473481195805,44.11907539303334,43.40812491829501,38.62193000017808,39.681385620615956,36.2898774752841,35.89942847685277,37.318962655939565,36.519332519832965,33.05877588348387,32.2396388637479,34.42516493923821,30.906133879098302,26.775819576466205,29.870441762218963,31.98577904754214,25.85732569042866,25.192475925875993,27.77670105666067,25.854834795326983,21.266655849130686,23.82665351776732,24.40134063544768,28.576566608586514,28.75155897379228,30.47637426783157,33.308246477095814,38.081813615810816,40.55361804575681,43.385521370727545,45.57404813848835,44.696401598733225,47.714889279895395,46.22532041813453,50.008207843000925,48.011748902598214,42.55901968234419,45.98120403824234,48.504520855198464,44.00424424414998,42.66907076667631,46.25178402171607,44.95949626152398,40.614437088117356,41.35841437477614,37.99142431394569,41.53719636659983,44.14090399636218,42.76969631734287,45.35696437556122,47.329586943816075,45.61161403615638,41.668943402128285,42.38254763887798,43.30230283102741,39.219048189457105,37.04736968366749,38.482210358842785,36.57753127174697,33.12030943425745,36.70630301555685,36.699729583350454,32.11390576176525,32.64060780985926,36.30029698375696,35.55726102673824,39.193287041968155,39.39020569804124,42.58344371500808,39.76732887833226,35.06049762366856,39.36131975660752,39.51779169094945,35.90035973484276,35.837311483142905,41.07665688121753,38.35347272179849,33.779801573509225,37.28057404576685,40.7304328845574,37.32300382119697,33.87239377652306,29.17255565860248,31.35403031322952,26.573484028275267,27.161709462319614,22.760544145936375,24.8609353234102,21.417967499276294,19.33214582341684,22.244290645885428,24.592428933377363,26.922465844342586,29.39852428233627,27.602035525913927,31.70058371365711,28.821812961254647,27.057985512249353,32.04762676869015,33.30680519478543,33.94888984339739,29.191435102948848,28.078653509150588,30.33521653122809,28.506730276803925,23.84837359260643,26.196654309815038,28.379004955747828,28.28936603935247,30.997277292367055,32.909381917051114],[12.850435866217715,12.9078004818177,15.627413841581875,12.892093958763953,18.61317918445503,18.17923864613833,21.29256013280742,24.91422100748802,24.182608782145206,26.412121855688003,28.836739144929894,31.125084538072205,31.65823328404817,29.82729799728357,34.80755985796586,36.37775190138356,34.97167800844614,39.28237610813299,41.1952067686304,43.65732567112144,46.7609571895146,50.323525058952896,50.615365043174684,49.5339798582488,46.50657209523608,42.98553530654894,41.2517613560049,37.73173895798214,38.96216896879867,38.62339101568436,41.910036988880066,41.07294389466434,44.43117958681895,48.29630381910709,46.057331688097754,44.38999717168257,43.11483305065578,43.545865996698446,42.9323954546978,48.41803280645552,45.18482210687446,46.50879761812879,50.72767901415557,49.73916834725276,51.86104834088796,51.22999032760924,55.28051406906505,53.77239097808154,49.75267122859194,54.027833701899624,56.44265015898399,56.128017622548015,57.77156760991466,52.381179825626226,56.48275598713573,58.9628988076515,54.94195181809707,55.223004151884204,59.74196415170672,58.892621707487464,56.10461626284697,57.671361346342366,55.960382851554684,57.52559697143007,54.8342591734939,51.374340597992465,48.65125141848696,45.77531082524858,43.03471643560332,40.864701849293176,39.86080691971245,41.97445462478816,44.12541925281347,47.643559587848124,46.89369892576841,53.075606284702594,51.912738061671874,54.640776703941334,53.52086249379265,54.524773705268224,52.26981376202251,51.424997886194355,49.0004125697985,49.183812112932074,46.49113059787363,45.44361131156528,47.6674818061669,48.350535914579226,48.38169642720854,51.35071041153984,49.04929871070942,51.81527355880478,48.335549335038316,46.08583521745061,41.35948054668696,41.438448513078484,37.08642485354923,39.62401221350668,36.806348261112426,37.47090818729562,39.97166533003979,38.183034414901776,40.68578822406054,37.87496790741344,40.54282426815183,35.67671378269266,37.51182337128102,36.08524212384762,31.68631177135798,32.36670942165044,27.802933351894687,29.433451205127543,26.554277624261644,27.574688968826937,28.768277908847963,28.844829287735685,32.49748042362682,32.77926025466721,37.43663740301765,36.11836439293155,33.03902321116428,30.034218402545676,27.21356805676567,25.245763993332133,23.036852228387747,24.69092848590049,23.160146540204863,26.63858123750101,28.4461007462944,33.47062205931744,31.730337469924546,35.83956101110899,37.29468768881043,38.80255402961209,34.943705829555,31.932512378325796,28.141434471843837,28.331160252283077,27.609814999853857,31.114753947155876,32.99529555024796,38.21793065778942,36.958819270413336,34.88924108420468,38.41073030454451,37.03840857720973,33.832488820398346,33.01009775015808,32.14853426461293,29.25064736377743,29.845234241306557,29.280689588159532,32.93895475166354,31.423574841664013,33.49515298035291,34.988403834765755,33.73811937476996,34.00785852706515,35.568264579151375,34.53098512503717,34.67181470884838,38.1479633398166,35.6571306163094,40.24816599653237,39.76492394025871,36.94113011187704,38.43412180365316,39.367633045959536,35.88896949086245,33.28617155072945,33.827922133354996,33.322457077921825,37.43146639207139,38.92128350440031,40.4027115410271,41.191539581919166,40.43109547051678,45.17475006114281,44.818687595121,45.022230663534415,43.005161560127405,39.070233884464145,42.69039615708099,44.820462179258136,42.618057461443826,46.70304665859043,46.47820434194618,50.62522921032905,47.45207089298981,48.45866881391725,47.23075053550648,44.96993466945122,42.95119940102073,40.36822455326872,39.9909642992543,39.08292461277909,34.22660742546887,34.89121453039342,31.297675361125656,30.68523975316807,31.840468143000393,30.89096180070695,27.579135842809755,26.72860962626201,28.676758984015677,25.107066737734094,21.192237860705575,24.149869994642266,26.070144909413333,19.94656145315381,19.373133263181135,21.95966203976006,19.9664429347206,15.419205226747335,18.2641561819176,18.893646854648605,23.12212563809666,23.758594576344514,25.059025705144307,27.82938193373105,32.7034561753086,35.176396613937825,38.02425577375162,39.97178826481089,39.04735327867459,42.014418103223925,40.4954764479803,44.39962798515583,42.49062460085243,37.04948207767781,40.50443758215169,43.217681640656814,38.8179998297002,37.478219976766226,41.20214820864952,40.14941218338995,35.80257520388475,36.63587870448272,32.88890998509032,36.31051908559475,38.73856129897104,37.12112431422828,39.663594731058225,41.49350415408439,39.87743812534839,35.96670289919074,36.503245566164125,37.452447729202,33.45443887794327,31.16905350506453,32.5780906352417,30.730835350957648,27.20920696817865,30.788624129187802,30.856873254280547,26.31978936700748,26.793839391428946,30.501505919832734,29.72789211581933,33.32347556810556,33.49787179816584,36.760648356832206,34.02027143041313,29.283864173463098,33.65875513354345,33.96473762329651,30.384598727077243,30.394001303198152,35.75030498375203,33.259603938171054,28.698964570366417,32.27341328047696,35.872879099766095,32.7112508423306,29.302129844004003,24.54343983311909,27.323379002201403,22.692935212576295,22.77100938142287,18.088218464946415,19.584246799822548,15.80032874082617,14.373392960172724,17.46450103761798,20.299585227101357,22.44957863508876,24.366247070188688,22.545659247769606,26.63260014833491,23.955180767796254,21.631221424227938,26.575289189744606,27.603853903044747,28.48178564234885,23.806239232229775,22.32918000060481,24.704852490506266,23.344794014313873,18.369176828603354,20.546482545465047,23.057670083913177,23.251076836964387,26.071256451594262,28.118150768032045],[10.947183167218094,10.629106043558426,13.152661435856883,9.539015814257978,15.342857937673424,14.090294058039154,17.028868423340263,20.60622485192648,19.722058204061018,21.989977330986758,24.410523072985264,26.666764050498255,27.242540778535325,25.502025065697726,30.44279447669297,31.980803175802162,30.72039286063657,35.09249542064924,37.248678236197094,39.633246067513575,42.87166113101875,46.455246876398824,46.89521171576582,45.99559290630195,42.87109683233083,39.281867209176916,37.427301757388506,33.765825779407024,34.778198232656145,34.29370684898872,37.542949192498874,36.637547363029874,39.97316431240178,43.864453647838246,41.66177448395128,40.08456091471769,38.79519271396303,39.430627944848915,38.9681112509874,44.551012954214826,41.50269415958796,42.64534050671798,46.88289766913388,46.11364213746492,48.37972514658963,47.97831703343002,51.99277168779791,50.27008674219472,46.43147656117786,50.851426703809274,53.02909605988057,52.70439985769572,54.16470624639951,48.6898658415419,52.667028352982044,55.13857108324057,51.11700234334161,51.19069228872769,55.73932998410134,55.079910811326855,52.20298875914092,53.622677634375364,51.80131056523542,53.48855242178886,50.883454814951016,47.30881627986932,44.65459371805238,41.640369451961206,39.04803450071748,36.74976709975836,35.9061053061148,38.13556369324409,40.07654175261189,43.627546366800544,42.68721759056747,48.84476795689444,47.677161588709936,50.310449247080136,49.22378637831573,50.31384090195135,48.020943515373055,47.32215922554181,44.84814852650628,45.22128456272999,42.594250307872585,41.341867213977096,43.53057367760794,44.06048489572433,44.12349640379931,46.96830693983553,44.70053953129497,47.484570214012564,43.9806061073615,41.678611798287825,36.95250006295461,37.07670832817253,32.723661360378195,35.16735188176551,32.344042648279256,33.09128875395343,35.541033503692546,33.89879144185063,36.3876396164534,33.774826831292444,36.68792934934663,31.911722788050984,34.01522423531585,32.881209211537495,28.550835309200696,28.85061582877402,24.179106491582495,25.554919815135854,22.40880652094917,23.56562605434991,24.5886127825252,24.930389886169543,28.55846852207531,29.18487295604484,33.75125397455688,32.13179146142879,29.14154043110714,26.004374856841917,23.462431144219348,21.295229577866948,18.89425691396508,20.91976926273875,19.342205628885328,23.07570565721859,25.14497809523379,30.085380161453248,28.90262418877708,33.05017104781761,34.45896897107277,35.56670858249643,31.852892709638944,28.572808432399345,25.310293005367765,25.166796596122065,24.412850885242843,27.694454797836315,29.896198197436497,35.01470182328479,33.45634046415271,31.26550690895873,34.6755995268592,33.038877027000936,29.86023734811743,28.826568029829513,27.98131029302816,24.943120327454814,25.65837465144639,24.96295363502882,28.793983540046266,27.372592331570598,29.2171193814219,30.656446251170937,29.332251663936383,29.735666534432145,31.22316009719505,30.432912616116422,30.754799100064076,34.09514459795183,31.936005905055662,36.5048944145504,36.39758487057501,33.95746083078057,35.54173483390401,36.86103827252792,33.520241074364066,30.67317803057144,30.981226091998927,30.11231660963149,33.97615855480719,35.23120051709128,36.492040668471816,37.16756953824881,36.21640643675174,41.01583351945317,40.80545783860017,41.11414328473604,39.331457218133416,35.378827034370794,39.30324770516195,41.605773367644794,39.34768002671241,43.25497330693621,42.86798528210459,47.19893240285213,44.216515880203566,45.390404885361725,44.400476765885124,41.99507043260747,40.2499286914533,37.71943607429172,37.46194718164174,36.85407048662463,31.945140087831028,32.680690048335336,29.316739504933633,28.198637609656533,29.835440093239576,28.462474208055987,24.996384063807827,24.915059593749973,26.918070578676524,22.935237911082034,19.5724665416695,22.969533642602567,24.511617813212425,18.285617825610036,18.509530476761448,21.262481793895244,18.65451361042784,14.770751367342863,18.469846883674226,19.090085361096005,23.41704928783357,24.418444657962635,24.99138995457875,27.833368282844177,32.69718900300055,35.31261994981115,37.98729299748043,39.4205265292527,38.138048197030585,40.794184860997944,38.819464525216034,42.8930966644427,41.419218662160056,35.71506508650282,38.85274691239977,41.9811583420595,37.78073668501612,36.03650131372392,39.63387659272606,39.1923633430037,34.880055995522014,35.02418227555559,31.301129706222955,34.04989820595824,36.616398684698865,35.08287439049369,37.27639986149087,39.22377243803571,37.16839236144454,33.44167834451465,34.343093186908575,34.910604625145474,30.687742929174256,28.92146765530698,30.3823676352181,28.335686432620342,25.093579917434553,29.150228836151232,29.146716752625476,24.555862975891277,25.62864580622161,29.534880268686898,28.82501501730953,32.16724259346636,31.92421002220827,35.479597442877186,33.25237523320218,28.228801129141154,32.4341359853887,33.327049434977134,29.887713059977784,29.44223377834962,35.12203698448998,33.23957712507112,28.43078027626746,31.616208331853795,35.71343574990085,33.037972726174225,29.49164815904198,24.674387757518364,28.15504031887558,23.701604520415323,23.890445775032944,18.76697464046371,19.318492017659608,14.85708299591178,14.360855742862329,17.03004927842645,20.2934336390167,21.732065804231194,23.247667551918816,20.482892335390293,24.237792104363475,20.962399246326566,18.793850198167892,23.429806340769264,24.73033097202635,25.102478103658278,20.36966699759609,19.521409691624168,21.6902993972742,19.603044475690705,15.027501334624588,17.924593192362995,20.072050049682684,19.82657078664135,22.551049575456055,24.540864932975538],[10.529203494062639,8.675900445522217,10.063505821788928,6.928796138216374,12.202780603423854,13.30655858695721,16.601282403142367,20.46856976408418,20.86451747259022,23.12635290784433,26.124982593542185,28.13422165958926,28.011114840551077,27.02042183152559,32.016718574263834,32.99697288066279,31.379452937177756,35.86376243849638,37.94571964257299,39.8001726448037,43.08476071531494,46.25496837718945,46.8251986523922,45.69426863094013,42.421698608527294,39.231385124649904,37.02831440180594,33.63064103865723,34.92622934741772,34.47564585309438,38.65368610154383,37.20173082256959,40.90699007181161,44.71792558288405,42.047465466838304,40.36976887431619,38.586390790008764,38.93576979392243,38.02440886050697,43.10696422200953,40.20709306287452,42.01826891871123,46.0499323428316,44.909778762161174,47.26897189301514,46.57268671463996,50.51694779098327,48.811432794875856,44.633698405616066,48.76797957229737,51.04037629272812,50.542688753204814,52.269299404141876,46.942161093987956,50.922444292000584,53.72349969181489,49.920292440341086,50.31899991474658,54.82868558473736,54.02967896041816,51.65522124162099,53.5091222834356,51.94985325197314,53.84292891821652,50.946655402227954,47.37011587880085,45.33387819546545,42.47320882363358,40.293919553198705,38.37363794343718,37.697182598910274,40.345597297543875,42.02485000831324,45.15801770261032,43.99416087446332,50.10892483132978,48.32206189067395,51.01824927773755,49.45353611559375,50.06896440740861,47.513123712222196,46.25368314907784,43.67332064149427,43.496696153142075,40.90847832821453,40.26082003320903,42.89944712474654,43.66205155406464,44.21575339828081,47.467963336261626,45.61782824580682,48.857091392045916,45.52344966219409,43.204551466174316,38.4853453535049,39.14695688946873,34.791593424854376,36.540157559907485,33.507031009383674,34.053552386783736,35.88393645993538,33.49957831814215,35.72755515366344,32.401285123770684,34.501461532384575,29.545717349341853,31.120978272604827,29.41430978950076,25.027816231617134,26.067488861732503,21.628115513521486,23.55148472778789,21.330312713570084,22.399422042140483,24.548565120342584,24.646154354525788,28.603557206137964,29.02121553779869,34.24547931331039,32.879366604690304,30.152159550759425,27.033368016177125,23.977159818367454,21.493469344952686,18.858694802066495,19.400997207115388,17.311894890152658,20.43992374033131,21.88888900565373,26.940361134299444,24.916740278832588,28.963410412817435,30.528877449372693,32.15627397005236,28.403869743749834,25.679563585868248,21.67944684580674,22.483726836475455,22.43086566158198,26.011161650706164,28.560346986035267,33.70988490606003,32.69586014081222,30.259317769425493,33.60039279922467,32.344205572882196,29.080142193527248,28.24118040921989,26.979032562531156,24.504435748322187,24.764471640912436,25.124083040698405,28.632412575195374,28.20260396885832,30.27809693268296,31.02161815218145,29.59693839842058,29.163001134624082,30.873577414941206,29.01244994922185,29.01094410156315,32.95901602653996,30.313671315041727,34.78676691467003,33.98087475482914,31.340215108934434,32.34122785298439,33.40246378250514,29.728517009332656,27.3774509023169,27.638611168764363,27.424887995747202,31.430005484439583,32.97812084681539,34.685263759967256,35.495064377746225,35.27105967503689,39.73020583209119,39.18731908544985,39.09761502036346,36.94919317837624,32.86214331399633,36.20698954893654,38.28690404525863,36.26433306679899,40.64691288927109,40.80691344057287,44.77869124835494,41.94079544282628,42.52722124068401,41.17951245052625,38.76582197275392,36.526944420525474,33.791045493310385,33.25106713014615,32.24989007420491,27.384592533227845,27.953542568816026,24.37958860022156,23.79694460911811,25.11266567318348,24.34164471319402,20.892877164846094,20.06772512737851,22.397942185429848,18.930174119811134,14.673847416384222,18.179648015904746,20.65518838569374,14.471115973850223,14.176242358326357,17.473614430443135,15.801977142964084,11.39661212717198,14.86970610644365,14.625318577935746,19.440638072750797,19.27538658845109,19.96269696478906,23.18695967584745,27.76463325604349,30.797791280696018,33.04764162576624,34.672093712165015,33.28891862099277,36.03196194641996,34.22526962486436,38.03330938401678,36.33558216345753,30.65453143000749,33.906998998977905,36.719736005564855,32.386135957107996,30.79757533491232,34.43525682019151,33.6623780373092,29.32759980825068,29.82150555378931,26.100934412777164,29.416643469965347,31.945101811638345,30.586617347148504,33.200311524513914,35.38789426283464,33.6943984611393,29.5791563119001,30.59801155465191,31.78063272199219,27.581799340884345,25.352321208002234,27.407208120522633,25.84076175309868,22.094592479418697,25.94834491401724,26.621073050164675,22.41489656345946,22.603124097762265,26.394923518995796,25.084863110599862,28.255163958061647,27.8590667551769,31.077684823422295,28.84220059080059,23.666630369463785,27.645035549171897,28.322340583143422,24.840495014259442,24.1977385304131,29.78017488291513,27.800467799124558,22.876826430104387,26.036259622867256,30.07695169190404,27.380633395969905,23.775744631138746,18.95214138667112,22.517008734713826,18.149832084011873,18.53068478346923,13.255219669749122,13.863545067733387,9.773052625147509,8.724282162307933,11.313713883845917,14.576881012050666,16.10750886988979,17.76020772767792,15.61340790192891,19.70348121545228,17.220610572885565,15.07479099101777,20.347455372348698,21.676374592695584,22.95681008534543,18.05328597206595,16.86030893411898,19.99747047759626,18.69329730255182,13.586519194224163,16.660046101412494,19.758807261629762,20.030772536630185,22.769026827296663,24.833312113273465],[6.935491364076115,5.3587396713186335,7.497274847357858,5.1893525396634885,10.961770017542692,9.486372634160963,13.196714267057748,16.464527102926382,16.765021791868467,19.724872386944195,22.43261435488306,24.000038529040502,24.654035340336144,23.936641569331282,28.670040586513625,29.692019387349884,28.73571497978404,33.36457484909814,36.068995573810085,37.83702774155908,41.412186923852786,44.68403495986503,45.541750225239966,44.802557202622076,41.3824211101611,38.01657737343966,35.608849433210125,31.872250305267606,32.539198269039204,31.548971779159093,35.43300121777773,33.68567650180226,37.13286944328198,41.206167446958574,38.80179268339975,37.54419093854677,35.638281947263565,36.744805992806775,36.23048049269308,41.481405427336846,39.095235095626464,40.50210039878454,44.56729827526988,43.91332681164435,46.56177556654446,46.306188837715915,50.16857500964311,48.053587149673625,44.228260593828615,48.60158503535305,50.40988111794161,49.832995287937976,51.196036496474456,45.702445431641195,49.32908288991065,52.20631451439014,48.44347015100013,48.324352034249905,52.90944663211121,52.58824819600831,50.01597672995614,51.47093508642473,49.58132833567978,51.75858909866046,49.13663662022286,45.28924004793953,43.30118801133358,40.0738471316965,38.13827440841844,35.769577260821954,35.413373170836145,38.07074767622953,39.39657899796251,42.78995795636636,41.23088617855164,47.25872484309601,45.665051115860486,48.0196057487458,46.65402759365938,47.579214723519634,44.83533248710718,43.97634645752154,41.069691127177634,41.375071397994695,39.083111374933466,37.962345571320604,40.617250907080376,40.81493001901919,41.567093998645355,44.28850787327477,42.506322844264915,45.623800494502476,42.114331502468296,39.541877243330354,34.86549045026814,35.33530410329855,31.058004045290375,32.55565795755099,29.379395802022938,29.52522352079216,31.916971546207368,29.520212685419686,32.26719008429719,29.095239776167578,31.924925931631986,27.03878128691816,28.79322644173814,27.750587005316074,23.324791080649103,23.591492040393717,19.08114360238954,21.15866951447362,18.45618015542818,20.335210688767468,22.20130106239007,23.080354106126904,26.92873963936343,28.11823866400459,32.995241709704835,30.9372794844952,28.374406630645222,24.983093926226704,22.722295706054194,19.85750749510266,16.659092000467258,18.025364794756538,15.045070957723333,18.905524271750426,20.543953580870266,25.42480251058994,24.43400965092178,28.292818096428455,30.16872324392115,30.985152994725922,27.847745482546653,24.78983510499135,21.77681067643581,22.30740994405126,22.37925264212458,25.497020929695573,28.667759606419178,33.58989119619754,31.99939034007712,29.331403545177352,32.39685876016266,30.487821581697588,27.295457931185677,25.75911176743557,24.277198971998526,21.20784167964926,21.137366801129243,20.81590730141987,24.18230806811795,23.270040611044067,25.512781174506905,26.609444321275422,25.559588197949697,25.387313944478986,27.45435175286046,26.106631362775502,26.98851637770545,30.803753356911542,29.052818635552185,33.430979799437445,33.36921789478129,31.52315622228808,32.506084492377084,34.2299920005952,30.705341176399017,28.11697613018994,27.863347827035675,27.10889757717462,30.51743289556795,31.49161278483937,32.682895767435326,32.992729239828165,32.43185535478025,36.84437616042083,36.89562785319601,36.86401034028893,35.425133405221715,31.00116216273702,34.97370524136886,37.454250591864415,35.507817176873736,39.71915013079007,39.69588786189576,43.99420837771757,41.6394237891217,42.40824945451274,41.4289568105195,38.691461168060314,36.79164287249812,34.02704600069595,33.484426447246186,32.75109082576708,27.834677821144194,28.120185080761683,24.660895069745504,23.09119248154957,24.58919507487045,22.881875913658092,19.550057191582926,19.78651721081037,21.51477556172826,17.31443028879805,14.597921553617107,17.981568265922956,19.10810380643546,12.940372271385012,13.817068380436552,16.612870721493714,13.714278517928774,10.600262818267195,14.92043897873681,15.458513093867385,19.6637619916197,21.194082772216376,20.90297676684795,23.640442755430904,28.441321044380633,31.106182886521438,33.628011123354476,34.586332736606586,33.10294667687141,35.55428247284374,33.37848138853413,37.606735153756475,36.39613351760158,30.650492759881107,33.66700286879955,37.116789333281936,33.14281674047805,31.259547045107087,34.918219760186325,34.95421152307891,30.7291628078792,30.7124022062655,26.63644504449986,28.950828304937524,31.352302337838854,29.598808691187696,31.61818393317617,33.47888140680335,31.38203736340944,27.735536628069042,28.61488276334397,29.105647048305414,24.870175930964347,23.178526736718,24.705334159716035,22.68709430882325,19.461715607050824,23.73062070789419,23.866628984678098,19.409421051286703,20.626526123906864,24.613304683771254,23.840441050865632,26.939101864823634,26.445353157148595,30.157400206266487,28.281854909881204,23.145327688321007,27.266088438965753,28.57005657290998,25.306469002017913,24.71437534550207,30.55490012662353,29.21894429264634,24.445720708452644,27.438435129832886,31.8039648448887,29.651382631308273,26.208671953040025,21.53373080258713,25.75392476239983,21.80977147348845,21.533253589393443,16.347291716021743,15.591453720651286,10.628317385153895,11.810010837324004,14.055612214588695,17.791454686339062,18.562660345991077,19.110182691740498,15.957254965210383,19.420646383036694,16.244972957224846,13.360649841251098,17.780973265907374,18.923955416299783,19.439926551491713,14.749956064143731,13.710603804344577,16.06862445207206,14.323817045351062,9.388432750084682,12.62745919130301,15.14844811368299,15.125606103572814,17.912386441375723,20.043863392718702],[5.960626621975449,4.571163560965455,6.256477865513809,6.030613622656933,10.446049172836965,6.930515812536957,10.961125334105587,13.41190177463088,14.097715838603127,17.703800873362557,20.216009809112,21.193717220935756,22.394160129861817,22.22562163035156,26.60449079876022,27.464236058504248,27.052654938619142,31.7691215954159,34.98357788967506,36.48543442585925,40.2945360890717,43.5004167391371,44.64273405820536,44.18819417116073,40.633965802985564,37.274376227393056,34.61257314248766,30.709771573698017,30.866571335125784,29.38734652995906,33.23430686511237,31.046224765784537,34.329903327263004,38.59227644161085,36.3120267056832,35.432887216035375,33.276354694864786,34.994441963896584,34.717512586001185,39.909945437911375,38.05928184402643,39.28338173490213,43.27489659857512,42.95448456196124,45.858602738370024,45.905735956213455,49.64174629050613,47.19184745350006,43.61601746619291,48.07230992097636,49.48584813892527,48.80390839136784,49.91075081353556,44.35530592842342,47.63632550206751,50.655580552857366,47.01994290063067,46.529079743814876,51.14068909779824,51.21164117961501,48.62440919222071,49.84121733836041,47.7446009273037,50.22535638572141,47.779931058560656,43.71910501480464,41.97981158983262,38.499830872121606,36.93930395644991,34.30731182743899,34.30289066637875,37.061194961917735,37.968092670222745,41.43017971905076,39.45656380694626,45.34109957858292,43.74443435125637,45.78810895751992,44.468022950397874,45.525786483674224,42.5498893943045,41.896160405077616,38.68010533832623,39.265169109286816,37.28080516882492,35.916220798603476,38.69564984011578,38.43719515216067,39.51920451703987,41.85173940056721,40.27627833003607,43.39955382557122,39.807946974370516,37.014351302140646,32.42839211122283,32.885109030278734,28.73841978171472,29.73788891455196,26.385215907807066,26.05591322550367,28.779441793144734,26.14774669675642,29.30012077381684,26.0901757576112,29.348890585950883,24.550890014030173,26.294786533247688,25.744784350877868,21.373046197903,21.082494398988537,16.70676583283776,19.05303061618529,16.264145525463,18.877819558594474,20.760622788900694,22.282109447782926,26.010636349460096,27.80753316859231,32.46347723055804,29.895900442893648,27.622680102124882,24.07899863757003,22.47012034794533,19.28281685794164,15.64586857109499,17.249834228397685,13.373580972020525,17.560134346727985,19.115130220252542,23.705804934681478,23.470011221218314,27.03001231754116,29.190342962703472,29.39561950731884,26.87800444906288,23.757816323070276,21.535341963204242,22.079376002113843,22.467078535322237,25.153106858131235,28.88452897310983,33.51380913618701,31.605871275600848,28.716052964721612,31.446266461244846,29.087443963959593,26.00712691986847,23.897619194882196,22.095824395289167,18.68496393484495,18.093869434259076,17.40559096467143,20.4591648731984,19.404252287468008,21.87430322619142,23.080364041238884,22.40010849093421,22.21629897570161,24.69436460636129,23.53756167703347,25.1745725084712,28.976263147765923,27.952188498801544,32.12944476839677,32.537142327509486,31.372890751482217,32.15480001148923,34.351386502797524,30.92734702078073,28.331290020285106,27.623800323108217,26.598438382831617,29.42793061946505,29.94051589316132,30.762490631654995,30.63158143664623,29.9806392929686,34.19238178379613,34.70488358834466,34.607689933784016,33.73938720355723,29.02529663572952,33.35423941742767,36.104024286685195,34.31928981975424,38.45690580283602,38.428228887933024,42.86833388026259,41.00724509140752,41.76262576426722,41.01480536120705,38.02688330233667,36.31286819551711,33.509549671095094,32.897882265495156,32.308644344742206,27.45865633040414,27.448190498830222,24.133507037464522,21.85857611524126,23.417404971699245,21.042714736476974,17.933619166624283,18.987157311906852,20.204789887886463,15.612133678127764,14.313548147324239,17.43499231285282,17.51538123510598,11.794262658294171,13.629834794818246,15.94479415604653,12.331738819229205,10.780833797973443,15.342362169867435,16.20041043612719,19.804795681263208,22.286478687561992,21.21501796183112,23.571465859667985,28.330246183534523,30.768178264764042,33.32878068370172,33.72268573379089,32.111178126018466,34.268850954024835,31.80668653206398,36.28161838463027,35.47840786393521,29.753199416989485,32.517969890921094,36.40454047973352,32.77052736860741,30.683904809492144,34.29921226082904,34.957514873730105,30.89095924121455,30.5029682690458,26.223248723415075,27.72929199645834,29.97245502303135,27.95882044773202,29.499168868557756,31.121021375552168,28.743480365750656,25.489321441398705,26.29836172165088,26.277922815442388,22.055315739458436,20.83984764478295,22.017390696764053,19.72360899858833,16.988487409904145,21.536832966251243,21.36467579264778,16.91525888514281,18.890337906032542,22.915258373829186,22.472276790900874,25.33601412346484,24.667260893074456,28.67492493039773,27.208468175358263,22.1707743779327,26.20974768961487,28.016268874547833,25.022214196828184,24.385281231778755,30.29829608374938,29.540255558498856,24.953886959875874,27.68915755423767,32.245869937603715,30.594103071363982,27.325290550459602,22.894803197282418,27.539068192610223,24.025161604970062,23.371071340070703,18.39187958817066,16.66857552476467,11.601821832915276,14.094709842024397,15.873616266301806,19.737230838476496,19.912695377687612,19.59652351834402,15.90587825306818,18.686412073558362,15.258997595076456,11.86685917828072,15.28051982068346,16.218367918276186,16.152480946667072,11.800391323012375,10.948051672029408,12.613589319099608,10.586206689020216,5.935966333855011,9.447587718953255,11.470497715468413,11.218516682693581,14.015826909370904,16.22859836948791],[6.297482514679021,7.106839042345306,9.802468966318392,9.359810392343038,14.083634540213936,9.553762818931792,13.009315345570501,14.94740248232317,14.547679892980005,18.306710506203665,20.24036160480352,21.243788436436187,23.2124037851836,22.5411523154524,26.780881210950763,28.057447471680938,28.02121287064569,32.640672089702996,35.946527322069876,37.79071159827891,41.57070925571718,45.03713058513791,46.10458403860579,45.80877281907621,42.35672231927469,38.752147791914986,36.32356726822767,32.26309297050333,32.18368784798938,30.620833975944763,33.73724990529521,31.877122734473648,34.80658444263243,39.17763445589231,37.290281288161076,36.56541508439106,34.72720680253071,36.71879588305449,36.75258315911371,42.2207586259107,40.313056167269195,41.11141685179654,45.21356322251359,45.13408021734219,47.974942897065326,48.19227702208821,51.9639805262652,49.511305281186715,46.14013361533797,50.744103967715674,52.10509419746196,51.51391677504279,52.458250196094276,46.83585799336876,50.07594241690695,52.9040551901768,49.15999818058004,48.437221062301106,53.05899113970314,53.24946231499522,50.35498879539268,51.26207547595141,48.966298175559515,51.33666469193569,49.11605162587304,45.04797053282987,42.909368008702124,39.30311548639269,37.4879531248707,34.54230648282076,34.45804831634651,36.8949707051238,37.94698033379696,41.736516719926506,39.87383999561586,45.75287679458068,44.619303578662084,46.5554130358275,45.592160585828594,46.99503046174533,44.16830249766829,43.91250857016979,40.729872708413694,41.688198055084385,39.73128755513251,37.97929419661349,40.468766700621536,39.984229126709,40.78054636872009,42.73828520310264,40.9015114708576,43.668645652604226,39.92696841726963,37.08865959531301,32.529107361764524,32.51678745299587,28.409628798204718,29.854116522960638,26.624585999994544,26.24038769507962,29.635804673524458,27.494222586014306,30.950551041936055,28.234987723981796,32.035330192520235,27.420425329982926,29.372975943954224,29.170762790642705,24.891896195272338,24.205185087078736,19.87538985213283,21.894065886042736,18.588474447353143,21.235046247845858,22.324928460253325,24.016492573303893,27.486278772384665,29.408697234094056,33.604023170952495,30.849713140233973,28.420776392535572,24.876409914773305,23.669425834071706,20.730251396008786,17.311047893466387,19.836925210405397,16.427952706811553,20.803728052214492,22.625059576512584,27.07404224151391,27.199901485157348,30.74804018060116,32.848202635777966,32.818187422310515,30.356687005977665,27.010353858170078,25.08231027530201,25.173268125577803,25.14809551816949,27.693066477107934,31.14913972711206,35.76679403790771,33.55875741427337,30.84469669056479,33.6027150337097,31.00954686779197,28.01723549741836,25.76622693125736,24.23800695146622,20.44319862525806,20.0741380741811,18.427351693798446,21.49214792365158,19.36102770366299,21.85331066237931,23.77716015210226,23.369179848785876,23.832068992273182,26.235801378959714,25.86673922193032,27.77154769175873,31.153758561498663,30.46571393401613,34.66289878967796,35.45714597509667,34.358138464440444,35.44486023201905,37.70259340699829,34.42054719808493,31.614322667282618,30.994213271265455,29.68385464324946,32.44552504272106,32.788395168029666,33.3232771414016,33.056553356324116,31.941959972773724,36.288958406280884,37.086671362985136,37.210048268011015,36.61649365201275,31.99224791910969,36.599520697463284,39.450223652680144,37.57163869367667,41.44426041094641,41.11993804254242,45.73567631276231,43.80148008562613,44.86397203784639,44.285235961848535,41.32296840727977,39.83157395249849,37.12812260108471,36.628942190807436,36.16364640524297,31.320106469715352,31.351114339407836,28.072019643180514,25.683762338711922,27.179983232109237,24.596798203008206,21.657998839085707,22.79153097047267,23.71047709157326,19.072075860838822,18.07402235906524,20.86075352165897,20.43007546328972,14.919115325319257,16.58469727580718,18.393882556711983,14.428878408706687,12.952087129095935,17.26141754904721,18.707025475770802,21.952449222988683,25.12986864884496,24.257416535936024,26.311891029201725,31.28455495925276,33.34489018808883,36.287200253537854,36.70917179578776,35.33611697911091,37.54136646361619,35.171770352566256,39.763154332281275,38.96090224792304,33.37481127580428,36.186544791638646,40.13307753042614,36.53557556890237,34.526818162456976,38.175164916682114,38.83168982948075,34.7634586401752,34.454886344519174,30.133206454174424,31.533012385308435,33.68765019722456,31.480180107562454,32.82105507111847,34.126344449710935,31.715997044739723,28.772985031063456,29.243140858953424,28.878841891433513,24.87725574270549,23.80232343049066,24.379971425523692,21.814967990188116,19.485188726176972,23.827932588359985,23.086785483532932,18.420670161624066,20.86627905775528,24.829166820376,24.87176379836095,27.946883992393786,27.613913024154957,31.71376842508007,30.0456847787831,25.311927666990428,29.57338757924414,31.276993495407787,28.266464943380626,27.992966725086433,33.82549966652385,32.90140701327717,28.482193339462043,31.4312272474058,35.84164781558193,34.02160432315108,30.821269993889242,26.339596822621576,30.77454953952593,27.071379851661035,26.223980647313674,21.32570802118429,19.982019272703457,14.925224003634392,17.090877994837562,19.278080009357936,23.121284315626813,23.600032991558145,23.430531376091015,19.85597047254683,22.607350849688988,19.036129116154072,15.697480262006682,18.623064907431814,19.287884411003912,18.7146836711248,14.877076459291558,13.940368051669092,14.631443746141505,12.502389462883524,8.75464511088709,10.932390635070456,11.95470074987458,11.424738527620962,14.221494931976322,16.388385460049733],[6.651077064595845,8.411902498971811,10.496053819148278,13.055379643715506,16.390162063638023,11.206190440368315,14.595717945382338,14.87138407456408,15.40904017862304,19.93864410559992,21.43296463107706,21.254932671278087,24.133965945350933,24.413945785006426,27.927018260274043,28.860465173537158,29.638920387055634,34.27600851663454,38.204281652328284,39.565529315653,43.61388294225906,46.86471437981306,48.32071510349312,48.33432875795109,44.71594064099697,41.25808097091232,38.4715608421877,34.33637306863496,33.61345333071737,31.338145262764076,34.43835270467974,31.773535066628646,34.34402576998908,38.99715526120747,37.31342004839833,37.241404928163746,34.91230928998146,37.78629653019008,38.03973459378429,43.16867663038647,42.09913165048487,42.835633018166504,46.72630423928045,46.99043950049195,50.15722034052374,50.65339662463567,54.21087344559147,51.36352128183441,48.23593763409932,52.78938330226006,53.658875288355254,52.866347426544884,53.545009622912865,47.95148593594731,50.631844783253776,53.7725703469486,50.32570115781918,49.149783035774576,53.762558432940125,54.49886490616429,51.75428499919766,52.405750200933085,49.87106100485066,52.71125952455968,50.71689484719565,46.384574855115595,44.73408592242367,40.84546720086799,39.63441824271101,36.406715224474745,36.81769175017162,39.350231593337895,39.80460968151037,43.62029930018174,41.15643347109953,46.7170870623482,45.52975902412096,46.93688696177459,45.986023664510725,47.48668695739525,44.238188002322936,44.1623612518944,40.44749269488311,41.661608915337716,40.264076836993304,38.37645151526491,41.16657213819533,39.987781260524194,41.44665941022812,42.78224238045817,41.392049166110944,44.160483274465825,40.337973124670015,37.14291533782657,32.8526217611193,32.787931970209954,29.03769400069832,29.49772792849017,25.991937367149806,24.403750997629626,28.51627321943852,25.684219226812026,29.92155129140456,26.895200749940564,31.06141571736651,26.642584423963438,28.070489930739217,28.41547472779492,24.28086224383378,23.133296688692592,19.515622624677032,22.291074846182568,19.4625503521358,22.98714078685503,24.36420774258592,26.721188597440626,30.02164042193701,32.54642215063309,36.54975844875164,33.275543340809264,31.296078444143504,27.674081535763385,27.13949579891755,23.90613485581407,20.13263333696827,22.358071328428846,17.82186077078952,22.077713161428562,23.30140326213699,27.21002393407412,27.906958007682544,30.792505065474508,33.4784334491351,32.84962724787928,31.39283998720846,28.36221451588241,27.069481368378177,27.66377908868038,28.250953608319282,30.39706493895874,34.49428531392273,38.75801749040145,36.38556394767844,33.39499030708524,35.670440507042684,32.650610225133875,29.863152806706896,26.93359986982994,24.83283776437125,20.83617844156914,19.28596407753047,17.14505481796395,18.89893334701751,16.179396232131758,19.60099970236984,21.843717483331762,22.43498294076103,22.6359652123967,25.899893972926687,25.528948582396062,28.529496472697833,32.03032037878486,32.21878989030635,36.019043469877325,37.142720398192274,36.80226985548583,37.359935128687106,40.01056165480223,36.69721476197198,34.18620352083761,33.03719830748163,31.75262968317873,33.779333984222475,33.58679191506241,33.734346201780916,32.769153918977906,31.8169687442167,35.54301721976631,37.04399378602946,36.85640629680289,37.06425716019547,31.972628497038365,36.73813478522253,39.84210502744448,38.387798322865564,42.353354581424455,42.28277738384083,46.86658218233866,45.68299206530237,46.45684841412506,46.00391106728257,42.74220625467519,41.22675936903296,38.3690396054563,37.565580627377564,36.9739801689486,32.33003201218689,31.70880357960076,28.410369517803243,25.440775301466097,26.34152985925459,23.119922402230547,20.961434678810562,22.456427374317133,22.30642083732076,17.66742116583656,18.43243502331673,20.167422441978903,18.19011054303184,13.937703739697236,16.17332509065307,16.839718220865816,12.337479723640703,12.973304520674153,16.804272384124115,18.813683176079213,20.861518922759938,25.502387832741775,23.863643947460574,25.11009797742173,30.01754011869597,31.458859882999477,34.674095477279764,34.51703457366808,33.32352489480031,35.30458407360619,32.95955871358894,37.8128945032832,37.300683845859034,32.116409987232714,34.82035174952499,39.10661260317906,35.954106682114826,34.05021085812204,37.76918532052925,38.9097610509068,35.09493518673896,34.91146253374929,30.168741034198007,30.89741707697865,32.51740144474751,29.681542892311537,30.50320982439252,31.08102779027244,28.777484046911024,26.47848757137235,26.1932192868609,25.276881605525542,21.820850083806864,20.971121331178495,20.58313191248124,17.73183931407347,16.20289290790327,20.256951525020394,18.839685840613537,14.28151321174066,17.608659791630075,21.344227390426852,22.066500739123462,24.971650162385817,24.87622842183883,29.164791608290578,27.691375321956357,23.571499862850512,27.86555927339583,29.842554846415336,27.20712168795141,27.393928066316253,32.979831619340914,32.51354112714974,28.69607269995614,31.6077655288448,35.861437653862396,34.50488873676797,31.73940900502181,27.68839488690708,32.362019728456936,29.243003184360592,27.602934834371702,23.285326256200555,21.074299305221583,16.364978532953486,19.718332108427372,21.658773410964134,25.52417650114968,25.68364592863922,24.482041847693473,21.128807142688306,23.18445487463325,20.123560162580315,15.952325548328,17.323901875876153,16.985808957276113,16.071189076844792,13.61687204898507,11.901872975708121,10.993280991029554,10.267383059439107,7.761636905368401,7.206974929665286,7.020025342456643,7.049397872829445,10.001942866707175,12.446018642483734],[8.279299836063974,11.29270546934186,14.000949126780561,16.978539855651317,20.851750445834746,15.909420338629863,19.27021079389369,19.388535454003456,19.525946841697102,24.03894558822848,25.142302783043696,24.84521890420952,28.24363654066687,28.277633035264397,31.604350037016037,32.76045623681315,33.80613619943759,38.35368815291115,42.32152411032052,43.85562009123381,47.885385372732685,51.24490497388328,52.68537608395721,52.766752510371994,49.193854053717615,45.62266307615925,42.949664375395784,38.76039899840046,37.919716570140274,35.559960784209885,38.20180677156578,35.644340161902925,37.87783600256714,42.61567701941091,41.23715579918933,41.3580133297974,39.136816300926014,42.229249056994014,42.61853444907409,47.79347905442895,46.755373153778066,47.34863054444749,51.265929485788995,51.61826862859118,54.773246155292405,55.310076580800825,58.894343300800415,56.04224263956927,52.94576778325953,57.54891197379457,58.408845937399775,57.57463685589123,58.200073805478254,52.59956622752466,55.18726357237866,58.32936521415195,54.89045433801877,53.585432123868095,58.17713341762493,59.008489949543694,56.17343691723399,56.64753701398599,53.98615298494261,56.80614053166751,54.97143553411036,50.630788677364926,48.80101761193139,44.838024851646104,43.494230014513796,40.07377160671127,40.4356891343746,42.70880850274745,43.25453732137757,47.285571262719614,44.8744235005079,50.35280377341375,49.47683771205962,50.726688782128925,50.00290585322675,51.70065498951415,48.46503173851949,48.593347648737065,44.79967693649183,46.1753573084183,44.88635557916725,42.86983059875382,45.57817138579525,44.19063010606678,45.60634988698511,46.610655216158314,45.143952344413776,47.64142038417918,43.72464535022006,40.46058378916114,36.294873483730406,35.85120031025627,32.257751514222676,32.8710972975243,29.462982209187977,27.522658324618018,32.21434094144095,29.483666884145197,34.02495347144062,31.115255470450943,35.44391072904905,31.118897452300875,32.332631766888085,32.758266456596914,28.625897463693313,27.50247781654864,24.101513815991723,27.009774567002403,24.173371935246404,27.693390186339325,28.83599663668269,31.197149675128742,34.409876424025526,36.91454931758525,40.735197985792595,37.41023790432759,35.335119051811894,31.74313975416159,31.315088583183783,28.23524437253193,24.587502882935937,27.027976217897393,22.57814166195995,26.819002556920182,27.948149961971932,31.823504271406794,32.40997299122949,35.17195097594317,38.01946625159743,37.40719718112946,36.066033602200754,33.11166716077771,31.669370576466502,32.336194704739356,32.82962080742809,35.052862967892665,38.99950369216013,43.33952014006997,40.910285419843994,37.99430800026848,40.30628009373007,37.21923328801092,34.469318658875245,31.493129550485683,29.44954223719744,25.35699896226687,23.72690991221897,21.18455633014337,22.440918336018438,18.87789040264312,22.581603412220385,25.353973290769748,26.371198553800454,26.798997259933174,30.168502536105553,30.055530094939755,33.24077299178975,36.643151551750016,36.945338763205626,40.74098664273863,41.91736634122146,41.51709688631547,42.08252976742249,44.66085749812539,41.271645475892626,38.80216696153233,37.71757356122963,36.49218371042879,38.548018533743345,38.31630337158003,38.38122990701987,37.273667664868064,36.22511743727079,39.83061833380784,41.564346843828055,41.359223884783475,41.74923925276005,36.59619818796038,41.35641351808471,44.47954718040073,43.09965809240518,47.09100523630126,47.01198630873137,51.616247901665766,50.45549099899161,51.22899650671265,50.75360409907486,47.477314436212446,45.887227195406965,42.97230347165938,42.069148607658136,41.306005106481514,36.67360496321506,35.86558439322826,32.365463504703996,29.522501698337127,29.90173395836266,26.721163077741192,24.915768331396166,25.94574312935575,25.333878223401662,20.969932924979553,21.764025446087253,22.8392750942141,20.429853694384917,16.625423465294286,18.30765646985262,18.21822900450463,13.83155166538961,14.511103583285513,17.536386664686713,20.19309369975829,21.515813863145027,27.0676624285143,25.690682918821857,26.403158403904623,31.495120520232206,32.31127437465102,36.07028759854621,36.079977818143284,35.39078299743606,37.57049549261127,35.651853202596385,40.555445861642895,39.81650366553719,35.023603039254866,37.97945592930941,42.144567160337076,38.995931481394955,37.43691017529397,41.325472887180894,42.2178319759501,38.41624592031208,38.763909230163414,33.79308901535392,34.7770425604107,36.10743333469543,32.888184661360256,33.7154020562072,33.744843105777846,31.86170553073054,29.801974158921375,28.742943477583562,27.78072493280108,24.908919307066654,23.715321390335333,22.575204728728114,19.718686194085777,18.446486546218697,21.704258537765085,19.676366880297202,15.125394942389196,18.46721199374673,21.86486350685712,23.18053999873959,26.408973647939426,27.006517794548625,31.18318832358037,29.213412037324314,25.720234816739957,30.341804036853915,31.918138137136555,29.27529172054596,30.168937973234875,35.46465633366119,34.6436610734215,31.249002994011946,34.57601292583338,38.42413514760729,36.81051597233905,34.291132018416484,30.31577945665646,34.66650739823815,31.517525167751298,29.3606035542428,25.428146950758187,23.576619273651932,19.122280553807133,22.27019967667747,24.643368019409596,28.44603377746119,29.04928344403768,27.87645686432094,25.09930253146028,27.343436697098404,24.60930861316368,20.146492144168583,21.466635817819448,20.577856486780394,19.88281398634685,17.970485831224174,15.532255820532471,14.188089993320748,14.574225961830072,12.154009828760632,9.892161296893642,9.293587527342654,10.072341145623946,12.504881109962414,14.662956703552991],[10.77589414163271,13.369551326347148,16.038782304018078,17.407592928625608,21.36940861724622,15.632388507367432,18.346319214739555,18.360297681235167,17.427803602536375,21.723262268540807,22.375865750238436,22.29350294476165,26.029733579961814,25.565413790004985,28.767208002254474,30.27596699317439,31.488394389007023,35.87742512312401,39.81727309018918,41.660174763008676,45.598045984464825,49.18551486532906,50.50643139156772,50.71884143515631,47.28574689853863,43.5184430092296,41.09984982461621,36.820503852812955,35.85074142616114,33.57725561319931,35.57432011392013,33.51038988752862,35.523791328382835,40.215949062841894,39.124328619205095,39.217663497356625,37.425916708449236,40.53568118788372,41.18735630406246,46.671912802867155,45.44287455468226,45.60559908634614,49.630429652861835,50.1888434784933,53.23196194897662,53.94077134571653,57.55747753268703,54.74084363284124,51.87026189522584,56.633090293817276,57.47555738198605,56.80075376478853,57.27768368020265,51.61184299579911,54.27847058982564,57.11052898558155,53.509104279350254,52.06443728626429,56.64512526433881,57.48740016882543,54.32509422366505,54.55216081145633,51.77597022336924,54.4014347131096,52.73147316943632,48.454331907324026,46.235700040355134,42.236173833715085,40.65332455208065,37.05818102457428,37.3320971129377,39.352829662846325,40.01787818284519,44.23748373263579,42.00161390529631,47.48412931395463,46.990799418373584,48.25887732230462,47.840153674481755,49.81430340245525,46.85611492957976,47.32865209408677,43.766998882894214,45.45703527069399,44.03922071201909,41.658311219603675,43.977570493809125,42.56872986257771,43.53778420979752,44.362799421274644,42.5794630398353,44.778586056577915,40.80017250957656,37.620623604704925,33.462224593415925,32.694709008309275,29.116490750560942,30.2713945713478,27.10228996451037,25.596237443669562,30.48868835135952,28.562158869373434,32.97978873140725,30.77404093304669,35.513487474828445,31.38272009453378,33.17224036093904,33.85182160903197,29.854954808325303,28.340252609517897,24.683198296280523,26.842094307504006,23.41122969251516,26.723826692041875,27.09596591996652,29.52666191785736,32.45044791419794,35.040521921532346,38.39427000894556,34.96207902237975,32.80212890741519,29.286832746069408,29.2347131321345,26.41071950699643,23.04298471994598,26.242658238501274,22.475412700739607,26.907139033433477,28.561301234989596,32.38397944044593,33.41485719153075,36.421418476433885,38.89694579719883,38.070133729576895,36.50638917053714,33.156852417624606,32.10838447591489,32.08373824135046,32.1055418573663,34.11598057581721,37.77758284977229,42.02277983171991,39.3013014253755,36.58988280199116,38.92473279101579,35.6849867715536,33.035192849732326,30.070774558145178,28.446812400582115,24.145805395078696,23.14324596436918,19.976680351372618,21.803475212517192,17.704637889085863,20.788445018415057,23.96877915580607,24.804282695604737,25.926877803130225,28.835883094782265,29.513184036549653,32.60997368582029,35.49913892651685,36.0030086974535,39.84225498552652,41.42330821402732,41.077347778933074,42.09077009872526,44.77847458133793,41.65431978943882,38.82622962777123,37.85508720393984,36.21056950544675,38.24822751615664,37.91846230124778,37.74707633145528,36.72133338617917,35.13435694461027,39.06466248080391,40.83837931956493,41.00245773452273,41.45883730814943,36.61207076141681,41.678299136331205,44.86039115641923,43.21768553245059,46.798586996469375,46.29008348064166,51.1138474904849,49.757683900040256,50.96978849474862,50.734737343948076,47.53805050754371,46.331763157608535,43.63062268640122,43.035607915573856,42.64252470740741,37.96246720792227,37.540054085748004,34.317653028061606,31.324833748190642,32.34709382961573,29.046648209427136,26.889809614755773,28.44040660825745,28.25636608821705,23.638572532386934,24.237354880840044,25.95856366107757,23.853117426134556,19.671024010850466,21.574984800285353,21.990915213028092,17.516638796370728,17.733217123904904,21.220022211530456,23.626515372339718,25.464238918469498,30.48225626632181,29.20528913194247,30.260785273455916,35.33196087095185,36.41001516877223,39.98462790476482,39.9259880407067,38.97784764505202,41.000703056369794,38.749821248161695,43.65618888888777,43.14047869815445,38.068090219021094,40.78982532575813,45.09559521743041,41.931374543709836,40.06694514546905,43.777753667341074,44.87787635964321,41.02066296253248,40.833099079481244,36.150367284320325,36.83507845298274,38.46977703239616,35.582249349252386,36.21499268899289,36.53946426476131,34.1675197723797,32.200268029052765,31.708449870552652,30.436894274953097,27.24954588028782,26.622820431866028,25.71913714661524,22.718177333956394,21.6763731209772,25.34759156977866,23.37602039271663,18.88976227386709,22.458187869834333,25.949197783147092,27.142847385018953,30.207897781241446,30.439302588862827,34.72819681047847,33.05283164820225,29.242180255365483,33.678649680372466,35.503193898128465,32.82425061277666,33.27116149105171,38.795655560515016,38.10353271271869,34.35065132789832,37.45678828097828,41.60435185053098,40.00120923640936,37.22384935491068,33.03626448663849,37.4701465966642,34.04968938991964,32.38229665374412,28.029816108960738,26.361119336695406,21.57117188644464,24.349414850960937,26.680824021785693,30.549020751128015,31.030883531047042,30.198109954438667,26.80235787664744,28.981306673925015,25.588699199721475,21.73308907731101,23.030064316373164,22.718137620141405,21.298551677867817,19.16927514011254,17.799864632652522,16.359874230054103,15.166235276889658,13.517285967523987,12.738074359734952,11.38426501690598,10.868343301582135,12.933437899562955,14.808031113926745],[9.696134285855294,11.663998577743936,14.29983668037705,14.468420828942337,18.619800532758827,12.919571474379321,15.573688713083238,16.23320827663619,14.989249094364055,19.04420922093503,20.01899436825031,20.49520230271241,23.685841785687273,22.909690222734792,26.51620133029116,28.094135593901914,28.878275345981567,33.31555065482935,37.00614702627546,38.98431523418756,42.832253727196175,46.47474661028486,47.64960036967588,47.716615515680374,44.32288983790311,40.52951233482958,38.21004791003838,33.9665447822005,33.289380702005026,31.328099729328844,33.52381688740101,31.743400707318393,34.0635874849254,38.619513431944696,37.306864354158634,37.049770132610206,35.41262171499327,38.089299577243764,38.60632668824973,44.22419018588206,42.652040636901866,42.88141763551393,46.98869354949659,47.383030613235135,50.301194245377516,50.890489022656986,54.57820773750858,51.91980948626399,48.95504945712625,53.718692005658994,54.75156316525851,54.180991685642525,54.77980075674349,49.10510942138836,52.02999110230066,54.73211060883954,51.00121772915111,49.78548598323163,54.390154289323256,54.97763227196722,51.78463705761705,52.184301692460494,49.550870539414326,51.993894610691896,50.16940527994304,45.99146384897748,43.63680606184432,39.77178474750829,37.988804336065876,34.569752766095625,34.66207945868592,36.76178817852152,37.63804262135151,41.77686903233991,39.75811323203106,45.426483334586294,44.82213730261563,46.380155419801305,45.857537823055665,47.7122783830384,44.91654180780394,45.235033069822876,41.91413005278817,43.44203700641442,41.75473623577119,39.46937908088055,41.70107225305164,40.655680968901336,41.37128265710206,42.59549040973506,40.653522400202704,42.9773021690486,39.05933597169751,36.04683612664875,31.695996091859808,31.113996368991614,27.28279025352604,28.805848003890755,25.68920990301225,24.84836193983555,29.206540793812636,27.512279297313505,31.50108065877526,29.36935331516495,33.915788263668404,29.66865707436133,31.758434759161204,32.205654242888464,28.157909465942986,26.78976126747845,22.775621287057625,24.570930089790515,20.918250481120054,23.907435653696403,24.204733194371723,26.401865489835505,29.415162487139664,31.79933210863534,35.28694922140084,32.05874463335703,29.74646325947314,26.22953937662725,25.909432275801656,23.143644041830765,19.868476886480096,23.182185861722246,19.842449829443385,24.331622192015676,26.262322156707242,30.285905312572304,31.17180842386991,34.470025748505186,36.65415580124552,36.03636545575641,34.049185790544044,30.534294203440034,29.34545169208514,29.068160871418716,28.873354066662554,30.981192429764977,34.45077636685548,38.79724532267395,36.13884490719082,33.50839915050764,36.01654533033366,32.9538874153165,30.207821869999893,27.511608747855608,26.099573247444823,21.880004745349193,21.390414672227653,18.533224809734303,21.141981551574705,17.652572284631823,20.243405294948904,23.068284808947247,23.30412930688366,24.457521726345885,26.983432212782873,27.58294098202314,30.191324164687536,33.06001566199237,33.19384632258013,37.191587587908685,38.64245454446873,38.04008424737848,39.26605842312241,41.838235530614405,38.77154758174664,35.80927813610362,35.01185282164433,33.31448924307848,35.61044083697926,35.49325160418004,35.49527090422622,34.79895782900418,33.172194219855726,37.41622408781836,38.81887914711217,39.11801850738309,39.19103034393577,34.55091697549405,39.56996697898652,42.650736708923844,40.81084583656615,44.33317884945575,43.72259981278168,48.54409279693896,46.88672405026787,48.22544607687099,47.96123764799449,44.89062223057946,43.736421914076026,41.12569203538325,40.692782093100234,40.4264618101449,35.67673708214884,35.57407247163119,32.45021187907769,29.61503317482607,31.061472106516288,27.970738520902866,25.396868860287043,27.008760290574543,27.37727625095817,22.647733297517867,22.640956635240595,24.96542661986122,23.549744142079508,18.76004364109875,20.68018525575043,21.752959869683693,17.380839394716293,16.903463274524775,20.842171366612128,22.834266466242894,25.35468436979953,29.535215724710653,28.426753189437104,29.970355585232568,35.00778391841849,36.54926556675035,39.82637001470089,39.91864903520701,38.706386434951,40.740345361288746,38.31123203282515,43.106661024120925,42.56874697018124,37.19139289637628,39.85641439505006,44.08467083644896,40.756267925922074,38.71687502321644,42.33393772315417,43.3550947954153,39.40347453466815,38.95392511447556,34.52454375572923,35.34479402297577,37.29241133047338,34.78518734324495,35.61155245158064,36.428297264392334,33.84910263977943,31.536440590274914,31.62607983494142,30.588324964463695,26.950446703210947,26.36216390378023,26.107270192006304,23.19825109610438,21.733686063194607,25.842866834843647,24.353161187367874,19.75334453965789,23.022998961366632,26.765157270367414,27.484773466893238,30.510267581049767,30.390633646126666,34.66616190839479,33.102711845563526,28.817040618385782,33.12756844745304,35.009650235384704,32.19389249131353,32.2069920897535,37.93445079342397,37.21097789965573,33.083126199243544,36.03870989482415,40.39703747456829,38.72969560833692,35.70258722685492,31.33950015304532,35.80104219045521,32.187152064694736,31.006258508721608,26.31985556657417,24.821482921556733,19.838285296848404,22.272916099643748,24.5146627189647,28.378120313212456,28.794451585094066,28.318461752930837,24.624446031720417,26.955618397830715,23.241734356983155,19.82816255040315,21.663381927617884,21.924574540038975,20.534545339299303,17.687182943453188,16.87806656080468,16.14925009872193,13.98835865340524,11.926652353005936,12.657417566353569,11.942403825718344,10.943593916441214,13.274382926321216,15.208201389329151],[12.2742508696434,14.680997629976623,17.76214840362666,17.41785756492968,22.114347707523283,16.723590093800375,19.189654605904607,20.065989458049973,18.160554155997378,21.779647943673186,22.405600668956097,23.20225576309336,26.542715985214826,25.14149565700092,28.71050138744425,30.664788670609347,31.441424190831135,35.68775009554263,39.15005261372757,41.51162654049451,45.189228525556516,49.04525270776582,50.01674312908019,50.07375157879214,46.84998915199585,42.887587059222724,40.88384838490145,36.63903236672133,36.04063196304748,34.28526727561199,35.90157369524455,34.63884776178195,36.726897887080995,41.203025171429566,40.16104138586372,39.83609357967426,38.5787148212703,41.13217074246967,41.757752513838476,47.57613038999336,45.71576131704548,45.71716877781069,49.92283275923427,50.33900572436709,53.08150713663789,53.659144283668084,57.425630497820336,54.92558026810385,51.99985528983718,56.83012208793432,58.007647133125,57.54602271698564,58.14439506795653,52.45420273157922,55.506417675820494,57.99899279411341,54.135495894199934,52.926497844414875,57.50512618406245,57.99124407863922,54.5788978004115,54.842097927129345,52.16510631844077,54.351519156541244,52.637422747896665,48.587303719972724,45.803500949458,41.9955200011134,39.83010317942022,36.324202749671564,36.166176398848684,37.88639842205761,39.096415668495915,43.43694855061607,41.754644289298085,47.424882224272714,47.22633417175353,48.83678487492525,48.591979537527784,50.64662566903986,48.09776415041736,48.613575263807476,45.47855788819293,47.129568851123096,45.321203070493276,42.89009725463804,44.84057355469749,43.85639919913152,44.18450133536662,45.2908174758498,43.04834401167433,45.035160461270635,41.0780295467037,38.19022217207257,33.89777931857101,32.92194522813967,29.159510560926627,31.29187161504825,28.45490977395343,27.85728278740002,32.42528445730196,31.214117733175232,35.144667828990045,33.351506193668115,37.9995951263183,33.80313267407195,36.00950560411293,36.417240715650735,32.34428935288068,31.03054268089054,26.928408011883004,28.49297523737641,24.633008103324087,27.303524962887973,27.13788174592924,29.118660290157134,31.97051329843025,34.13519141539281,37.32988945059491,34.2429325002238,31.708511458332623,28.339135409235045,28.02489189612529,25.630692080113405,22.73971454824395,26.406663678472178,23.608825572104447,28.104859390053814,30.20957915693229,34.334362917484434,35.08538361414801,38.53100661492798,40.58502997988366,40.09821597522899,37.864142279822204,34.23744127656243,32.86623273347864,32.34309086628241,31.781358127589243,33.97561524878848,37.000312780807114,41.43921574470751,38.72720739965599,36.3389419894151,39.005318646030524,36.00822029645497,33.289173061307935,30.793186715423563,29.703875712333033,25.47366666521652,25.353424512374286,22.266416440672796,24.96754851134381,21.033115812218803,23.376871528056764,26.530959378213307,26.740260185078327,28.264709705640122,30.506714624022898,31.468251985009292,33.873148228334465,36.4844468488198,36.49776137833495,40.59114395330146,42.08129342332035,41.22252341208051,42.72857409153059,45.14034398041036,42.114096866157766,39.02235310841961,38.463922894654,36.70949216934318,39.22024219053601,39.20628152715525,39.20025569157814,38.62624477636659,36.75383267928198,41.160336924399374,42.52879323641543,43.001964725470444,42.987142221823454,38.524642423907814,43.562307220014475,46.5945489437846,44.61984217687547,48.01294692486947,47.20257253429085,52.089362916477064,50.15441966361995,51.70855238509505,51.45343274176572,48.50471280548501,47.40666629650532,44.863196348079754,44.52249062657039,44.25934778650882,39.45221063496266,39.48480526613479,36.27966941541408,33.64567434463441,35.03091937256895,32.085761009160144,29.462834939660006,30.787093083517156,31.208063517072546,26.555689574168813,26.12752387666174,28.406212504695528,27.150990348492407,22.21346632855085,23.717114384706786,24.705409008129546,20.48134016737918,19.458167491075724,23.079967123719822,25.282094352209924,27.76019869531079,32.004935715420146,31.321461991824325,32.81407502968439,38.00175860056013,39.37304136169046,42.90228842945935,43.26905050577225,42.28296549863023,44.49371877834282,42.259145598308606,47.03798225747434,46.30567346118747,40.993578123018295,43.82333466764711,47.91462669755336,44.445444700857216,42.541471926092065,46.22905104880891,46.979288310445945,42.94092849205354,42.71397002327169,38.297054952795946,39.41772423118866,41.38964225725063,38.85248707832343,39.79321459808607,40.521541268360366,38.067257379449316,35.73031011667451,35.63969135143526,34.65798676500651,31.13840008838302,30.36948661373511,29.954416631481347,27.05351259739596,25.538401612370812,29.38879294602095,27.72621622063118,23.06509681527928,26.171163479275208,29.818544834053622,30.68672911566143,33.95240750700271,34.131083457761434,38.33550912818818,36.443275110688255,32.29881765173077,36.806468340667145,38.40448762071185,35.45666872043023,35.72313134267702,41.39262523228592,40.311658614385365,36.219199975932995,39.430190690557865,43.618177847184384,41.62961004819008,38.58997633457518,34.114833759201474,38.263302930696334,34.40061019795367,33.2117690440319,28.576144893229703,27.625720500281236,22.696565788299324,24.580068270847935,27.161375534793322,30.945719654808872,31.747400210627973,31.643352428386667,28.176384928727252,30.79317249963037,27.06176619791985,23.740623552073075,25.889122821881166,26.12716513398337,24.827759350415654,21.93196726203184,20.951207334316358,20.278590661388243,18.280029531479435,16.029320957246252,16.45985593454159,15.792744110452865,14.97543372703465,17.10034584261169,18.804489355552754],[14.741844144078756,16.35615314337303,18.981055301654816,17.192457446867955,21.513420924819897,15.909495684327926,17.530559944289738,18.526434249241557,15.709679024087826,18.72595964598615,19.09761441571199,20.384091438651154,23.544385677065414,21.603617993436266,25.192673991616317,27.413180329897887,28.08455729957926,32.151281254934595,35.441010956882415,38.05353493457272,41.59320800099619,45.59698952174107,46.42991950630367,46.53721871179459,43.44555049911085,39.367760959768184,37.61100093189797,33.37208192230123,32.80590027343714,31.297498904116193,32.50896837613845,31.78361915358443,33.84653485986055,38.141445501549555,37.192080540997395,36.671763995319026,35.82357978270287,38.14627175135897,38.90421384273447,44.9294020494819,42.82407915918157,42.52528285045832,46.79822758288837,47.30463314890395,49.90327313963319,50.575569207940056,54.35199340398101,51.94209062519959,49.18999364017061,54.103319650173034,55.30632814762028,55.0031846005226,55.52361801773388,49.83367499875073,53.00995837998502,55.204515312469866,51.206195335694574,49.998939457081754,54.5413768435735,54.93112756877644,51.2993224245075,51.46061620692615,48.78849284475575,50.74670117104501,49.0930795526811,45.158697707337225,42.07322987123242,38.333406170573,35.93401483177364,32.42143777228678,32.12149254568923,33.70030118534488,35.070780740106954,39.464890712967794,38.015518118215155,43.73726386296684,43.735346770688196,45.490480496678316,45.39916580882553,47.56589277940145,45.31503909333412,45.99738686640969,43.18139574860637,44.96528385241894,42.973563188864674,40.347019675781425,41.946301644967356,41.13108567574763,41.013947598345595,42.18660871857271,39.67005919040452,41.50764743534711,37.584043234936175,34.88525291492001,30.552360073468456,29.47717817365292,25.642237929589392,28.35024206964406,25.80332917946916,25.940257792730538,30.188380385301055,29.704350368338428,33.21544743518469,32.00917011843323,36.75100152822498,32.75455956705904,35.452001671489306,35.96056423923421,32.08416192541306,30.55683129386506,26.294135960798254,27.0816548283338,22.841218506214645,25.092882444799876,24.251649163921098,26.142959287870024,28.711574329145506,30.846978529994985,33.663131348149875,30.60328728223689,27.987919391203548,24.744410138479097,24.67418987237682,22.590901044645854,20.11204964842816,24.320112336749986,22.374722405283844,26.823192524576836,29.356380184512776,33.365010736843324,34.42969115583559,38.0672569350181,39.69645873105631,39.09834413060946,36.612017832979944,32.70060322376127,31.692446520371064,30.527852612553186,29.53588371363703,31.496040485100256,34.19332975053968,38.49392021987883,35.594217185483444,33.42980392114223,36.1173192101477,33.11591076714876,30.500651684021605,28.188085517319045,27.558228336614906,23.373682766889257,23.980293256801694,20.761220910407115,24.109255221351702,20.391525043001785,21.884859549783528,24.957530385872158,24.695440345609022,26.681337127902932,28.310329420109518,29.797148750900437,31.86310194726289,34.00242457888359,34.03989680765993,38.141063586071645,39.88992594044545,39.04052307125078,40.93944836339812,43.397706512780026,40.66723270120673,37.299164448173826,36.8665439855394,34.77480517270015,37.278890635855845,37.25343529596641,37.12875066980196,36.76522402362657,34.515355511619425,39.21825351870139,40.42423743900697,41.2215454353367,41.10532985479651,37.03893845583301,42.20380290581227,45.203941320909266,42.98814621414627,45.98629439593749,44.81916429255698,49.81213188938847,47.663187037033985,49.58450688148919,49.52702726143339,46.7085700858102,45.9612818213668,43.65807096442725,43.62136466227213,43.720183399147224,38.94775217043184,39.37509692638584,36.51305327471109,33.82372954452639,35.82509341211105,32.88368689797707,29.951061847492312,31.721854029523875,32.594547730531275,27.82464048002715,27.227376045755438,30.083028162961824,29.190225397688206,24.040154106812903,25.785078866575947,27.258355174484514,23.040834047455952,21.84987361369562,25.85882768632955,27.660016683013453,30.62083053456932,34.17789342777496,33.46872596000969,35.33696424019591,40.39608073914968,42.14170970842237,45.342310828237096,45.609305808216526,44.27870101383572,46.30562607032963,43.72568889205049,48.4317752093011,47.924681172705256,42.33028066044488,44.8838738382443,49.05603615681002,45.59623858291034,43.37679562642164,46.82936780384154,47.78785661575165,43.74903568673013,42.93855222951771,38.90712741723448,39.73830439939815,42.01798918283035,39.904670857295535,40.72722006307114,41.85938729161124,38.980871626252856,36.62766886559321,37.184320944398685,36.07118830031705,32.21176080757619,31.89858357997193,31.891912782179457,28.97114814111836,27.517057623275164,31.774067559089055,30.353285919848194,25.75790451069988,28.954356920143546,32.737167029874136,33.34062725328326,36.379941465359025,36.10641109187066,40.367961834560234,38.84065418369819,34.32966357261129,38.54894961865886,40.42112852087463,37.48223046795279,37.203110695964064,43.054743724190494,42.19115885346961,37.75513874835354,40.61526322274637,45.10745278190929,43.23946580821961,39.96385379254323,35.38514808064451,39.63942066278677,35.657240537950386,35.036465474128725,30.071990428891603,29.146306161768504,24.085176458308755,25.684114383428327,27.985060381216524,31.721460867376482,32.25312066774972,32.4220603174877,28.417188698836444,30.865560802595034,26.641907240887658,24.080947376177736,26.212791754988867,27.032536695536432,25.289139522386044,22.158732921127857,22.1530316688747,21.637132090362947,18.470149262314997,16.852459411176618,18.496554418392645,17.634192762401433,16.091009615939065,17.917604535041185,19.33585495801358],[13.001602283750122,14.03250329210561,16.356703000524988,14.111653672197093,18.304453596189227,12.811056570908931,14.49937841584887,15.911041094619579,13.33575252093259,16.40893561740003,17.304944472060484,18.79407944204624,21.427887563322045,19.659526486346298,23.612185298023814,25.620930720961066,25.95762583776553,30.20359914043362,33.445506358595644,35.90753948435011,39.49879972509386,43.393477909180135,44.256050028675205,44.237544512662005,41.054170107264774,37.068240564690164,35.16420022693366,30.95449574360185,30.585206896567353,29.171021871194018,30.942152249949743,30.039398318480846,32.458113935909935,36.71921544772173,35.43650001179537,34.72773341893341,33.703476855427034,35.796655437860785,36.35766841993451,42.320873464642744,40.15378460427446,40.1075442874655,44.37486355756555,44.71185531255404,47.34437848900233,47.902427581117706,51.69781002173707,49.30210413115977,46.39958682583809,51.26533199544192,52.53892737682567,52.20203680244178,52.83821218905589,47.15234323457278,50.42445484112264,52.71307397391894,48.726102587254324,47.69678441811419,52.26883695538472,52.53471358567549,49.05988987178759,49.45590091311639,46.9213779717944,48.93542279056817,47.08396529020125,43.13509071290842,40.25142158197145,36.57191447590742,34.269494408241535,30.95412799962493,30.669844859206943,32.55665886851126,33.88185730254611,38.08298549537556,36.57287518701566,42.41919404956536,42.06271064697091,43.974192904058256,43.61577592035532,45.55359952785094,43.223954183497405,43.64128724877726,40.83844062723472,42.396345924906555,40.314002287353254,37.89146556221052,39.652096929250455,39.045645802104545,39.04914269967825,40.573411121874756,38.17071249046593,40.32052035637514,36.46622829587126,33.79034830014071,29.302654771929983,28.61695580746624,24.579621722431874,27.097609005012217,24.394016942092524,24.723638985703243,28.507025887882143,27.777282202538355,31.072265317922543,29.62150029054083,34.11032892765179,29.988790136276485,32.70756207310925,33.03861636154937,29.133481634721466,27.754358236827365,23.36814002317875,24.130448100390105,19.93819795410314,22.127494268863675,21.59181269945754,23.39925012945031,26.195547100673966,28.27131809022594,31.454314674075068,28.48695223874627,25.868497488861916,22.51042051056431,22.13103422063291,19.84068635067084,17.17748135403483,21.203727403893538,19.235639773821717,23.67506552337356,26.230409873918806,30.32837207986246,31.26564545873594,34.976456998396,36.53945255176938,36.06562559669405,33.45195928517388,29.559957436582433,28.450598484245578,27.34280540876561,26.4405799285905,28.492697613948515,31.322525346421227,35.6993705263886,32.92765816879555,30.652859477912,33.39993514873594,30.515724517600553,27.78720836457184,25.56496686077484,24.852070669181956,20.769427283180335,21.450863853306892,18.665682925584534,22.32348470583625,19.257346726653253,20.70774576683917,23.33178126550973,22.748246792398945,24.44612946827209,26.043861592377684,27.158603871816123,29.003479705010513,31.353988690724762,31.145736594197665,35.31565202031683,36.87555036032772,35.94680677121518,37.776245246323306,40.20570303745452,37.435736988951646,34.098964372236516,33.66099732389808,31.64039001525857,34.23890067609663,34.332507531902344,34.376407098609604,34.15632107422485,32.10267312468778,36.86433687606017,37.84259883910012,38.57082103700859,38.23284483276525,34.16030303717281,39.221142332374264,42.16322585410447,39.932476042925664,43.0424698178676,41.986662076314424,46.92152856445629,44.73718203409925,46.546142726308645,46.40952101304956,43.59473858722739,42.773050976892165,40.45328585224836,40.42024758830839,40.522611867653964,35.74508173103104,36.25006808571095,33.44259705640642,30.815346178261663,32.97996552856321,30.15304145332205,27.067211374945554,28.885245045920783,29.99556911968362,25.227615096571288,24.44933981663738,27.5591737924684,26.975309452902497,21.67034075939184,23.50800496774442,25.2933628822348,21.173575213312606,19.86108380272873,24.10130258273333,25.60040789828276,28.850695324352223,31.954117574286435,31.175524465832062,33.27027883880848,38.217537409980096,40.2367429653001,43.184875694189074,43.44369408051127,41.92963570434206,43.91226236026159,41.22842221222579,45.85313115054628,45.37029682108081,39.65027769935803,42.13557008925961,46.27275923788196,42.78539169910949,40.47420792342678,43.86023304307941,44.83544955675287,40.79843581490295,39.8426212956746,35.92579839490274,36.77440974879901,39.16856039042665,37.24530661725613,38.1669512269141,39.55760583433542,36.61548321277247,34.0706913699933,34.92843326411845,33.983764263080474,29.910004346809526,29.600278346329862,29.973486699181258,27.15354414584145,25.480318733942738,29.94985726259057,28.851083948793676,24.27395709899979,27.296410003842094,31.186267438318954,31.49533711006666,34.42088298778825,33.90371686275205,38.1333654967178,36.75376984699789,32.0131285967864,36.080073433291766,38.0375149360544,35.09709329259446,34.543687607792606,40.46021629096614,39.69952001879713,35.11447640399145,37.80706370720447,42.41716646243752,40.63979950599121,37.28172135046928,32.701892307289654,37.059805840529016,33.12320314624238,32.717100751495984,27.62993170622261,26.5869637657326,21.501885914457432,23.10873972287617,25.2100847336383,28.939029764306937,29.300136815398478,29.498445872955056,25.344520019307108,27.776046360365175,23.482738407709945,21.117704892044518,23.451376199723715,24.530745204595306,22.90163459522382,19.435990927448298,19.700201031523722,19.590739190708145,16.088443467173985,14.276314293398048,16.657798004248683,16.183954973395775,14.550634204142098,16.545060671563498,18.085047164349973],[16.308771715100207,16.675587988807152,18.576826648141463,14.785319545944017,18.5679746939787,13.645139951322385,14.326709536792073,16.24497649134595,12.809800769610163,14.679116421911091,15.517907175752583,17.892177735909733,19.813013583484818,17.201376485626483,21.40649523021059,23.715686746432482,23.592013421055828,27.60472350663628,30.399337627717543,33.23836600733444,36.57948634849691,40.64754640781674,41.243822887995044,41.14552074087162,38.15247820642582,34.04410876836688,32.50536590551411,28.3828065469043,28.308248234409493,27.411395250283345,28.857654604758693,28.704356371409748,31.213523260193515,35.15006536193164,33.858947066503255,32.749241071556035,32.24071668903398,33.78160093430209,34.35532286730311,40.53475142592322,37.89521031483681,37.62947144318632,41.99267113539636,42.27244829359315,44.652584872808134,45.1837771486255,49.04149337748683,46.87081582430303,44.04467835896287,48.95903871232531,50.41365676011349,50.272450119075096,50.936221910347236,45.28418053684085,48.82055765183757,50.75750805850154,46.5875131697453,45.73379954871425,50.252326269414375,50.24469943529309,46.57129880150163,46.98668309965409,44.56853004059269,46.21554353288801,44.33035658670789,40.59889804308609,37.31343477566732,33.837552885459225,31.11935066315492,27.96429969184596,27.345295778687312,29.07558496807774,30.78080089154567,34.965787193693735,33.900698410274515,39.863468873320215,39.66522857299209,41.88111515662852,41.62349256180321,43.58140094872612,41.65132569018768,42.11722224860446,39.77318049635508,41.318883094363656,38.928806262631674,36.43868576948947,37.79919112052851,37.59102304915969,37.011409707634925,38.82150457595021,36.07571802935967,38.10571885146233,34.36255505840036,32.019332836738585,27.469812757725983,26.780909535178747,22.624663470901382,25.913508411345568,23.61971253990227,24.929529476018207,28.058111849741117,28.087540397886663,30.719169532409808,29.823008129723824,34.15348273764136,30.2144168439214,33.37689958761871,33.61741017714384,29.917041946746465,28.549101834166116,24.014091398598886,23.911781323307086,19.44990266774138,20.848922431185024,19.589507941234675,20.982440109133435,23.518725401055807,25.285849847404318,28.17164473762274,25.481919000096756,22.624491119411474,19.46950525163467,19.036165087429893,17.260768797173604,15.311280970108003,19.809106956285863,19.12157894394344,23.315931556097514,26.299499218938752,30.331868636855987,31.323878826718516,35.28192803177529,36.318472649147324,35.94679956303446,32.884452345710024,28.75430827443669,27.787343045412822,25.986804597325914,24.49722055424689,26.42546727478091,28.66456553851773,32.997560979452004,30.151174085181456,28.21273398985077,31.11948930747259,28.439682129589194,25.77694147807536,24.03016975534621,23.937415413798217,20.141106944790412,21.759141735822404,19.217685136221515,23.531807185368223,20.99498745239309,21.540460271088776,23.827392309909506,22.568624806165115,24.604575084844733,25.388342084821236,26.862082888331862,28.01546965074176,29.885781906783212,29.38615540641117,33.630335212669635,35.26550364843991,34.100007868158706,36.40917891725186,38.712915310811965,36.242034642520096,32.63680791516307,32.48675325509052,30.21236354433411,32.9981545569972,33.25881219508861,33.33912679817625,33.52319425167958,31.17292652278099,36.281604037260514,36.87811416444283,37.94316787209533,37.265339596655295,33.722956113311014,38.74119720713751,41.537165023537696,39.015462376257496,41.74412601174553,40.33415324170894,45.309715115467434,42.71890780776452,44.90425349169901,44.88565403151818,42.30281689058324,41.779004337877886,39.731553303044315,40.03028801146489,40.44792577048907,35.72858752447233,36.70841770583392,34.22493817523051,31.776316987879,34.47621844544365,31.874138239393567,28.47736060095744,30.46526906293209,32.09668613429714,27.389497704442395,26.147421787027493,29.759846986643485,29.741500165183915,24.239627659642988,26.03815623548822,28.27317299197527,24.37967972617279,22.66486755872299,27.0312461764811,28.131959925198185,31.826527241288428,34.110340393878786,33.51367587995332,35.980408630319594,40.782907340111464,43.15660085493137,45.800960867779295,46.133474371160204,44.370427484782056,46.26745980888551,43.380814814150995,47.83928852765235,47.43731798883277,41.499231778961935,43.78961938420401,47.84216441826102,44.29043033477821,41.76587784779059,44.917178940161165,45.89733417215704,41.85237957079899,40.45486827575046,37.00650249821495,37.805580115539364,40.51634364691939,39.07389565696823,40.034210937934255,41.855357243358824,38.650895961551306,35.973322560464474,37.418099175491264,36.53903844505691,32.19144864162865,32.12024803033775,32.94846823098817,30.225620477883734,28.45321782551719,33.13867835587061,32.33428560669371,27.83449218946667,30.69028204405401,34.64906637292985,34.658755654837606,37.44613199814227,36.60561180305829,40.77038718807084,39.59186065493285,34.55983572816069,38.36286529196623,40.40346384175729,37.42865705380999,36.41776633701502,42.41413516348955,41.69598970983836,36.81628901450171,39.2220621372779,44.004204010294586,42.21870578433015,38.64654484028876,33.99038744434785,38.25062053091555,34.166007366477004,34.375246303171664,29.080971139068474,28.314132318648237,23.305278476293108,24.323200860664322,26.179511026639073,29.70937420604454,29.943411566913458,30.609416133368025,26.154733059676193,28.54069203932598,23.90540513934471,22.462146045480516,25.0233432547526,26.673579773568544,24.90181301900751,21.13093590601375,22.1689172228275,22.451088896224597,18.19809623999267,16.7113810610953,20.002487244023545,19.667306603821164,17.725877340960576,19.4496844797018,20.707355246166845],[17.569532610826627,17.424025094279916,19.147503766846384,14.2106135754115,18.031382609094123,14.329739458393972,14.810976433718078,17.592975980936494,14.283368782743,15.247750708467391,16.563256834966378,19.59217115433684,20.466296551947494,17.40042085946069,22.030017294776215,24.34098206308749,23.449325052257063,27.342129870928467,29.519097916940023,32.581471495006234,35.66110722306896,39.75818073209721,40.0643252834596,39.66911097983336,36.81163149841589,32.72106459883738,31.436938479520244,27.520535819436514,28.03917121291365,27.730849802810745,29.415742807973345,29.690079336871587,32.49973173671982,36.12907931970069,34.578161846126676,32.99010163927022,32.71263753676337,33.51213322729004,33.811763595809914,40.03036715350657,36.85055307046202,36.76515461691392,41.18733390526242,41.13362869621309,43.254122788566136,43.51329311963596,47.478941264458626,45.63014761782698,42.603031759003876,47.44358966590931,49.25111846461706,49.242374989172234,50.13586933468907,44.55400832967319,48.44081509757105,50.20679627671502,45.911551491036576,45.45841652408322,49.93716930468156,49.516125743788606,45.872464008087,46.577081082866655,44.42679084615319,45.75530237440425,43.64132629640582,40.151673397614054,36.67698174321279,33.52782608723817,30.461695893351347,27.7306505864745,26.722184296775737,28.448095170002265,30.584901926194565,34.55011209755489,33.93581842093124,40.04073119712065,39.70866892392422,42.30494885362767,41.90605389233896,43.641218945808866,41.962738922211976,42.15841223399993,40.17602563591286,41.40317516228077,38.68375997718567,36.46250858353956,37.69547674590034,38.03629068607428,37.12702135826445,39.4712371993059,36.57128845561959,38.70318826863759,35.14519151483845,33.116004242918635,28.497267618689,28.05974813832868,23.794197822974475,27.433542613324658,25.33661745129084,27.23321571620527,29.64792130171627,29.815277405945036,31.879696359430742,30.97617195745512,34.82348670909903,30.817814700732804,34.08669127115605,33.93191366070093,30.244133901465794,29.26713407968026,24.566867159111755,24.12263560119691,19.764711191177998,20.41015922423117,19.137653093776507,19.815567249619896,22.43778179384022,23.566850825552613,26.673196376962075,24.57664694309457,21.431237813019585,18.480753182760893,17.291729501138423,15.915756847446831,14.532232965067918,18.819878625475962,19.0456864415818,22.939029256769526,26.07997251769841,30.281521708839065,30.817231678319942,35.03225573385625,35.710724074500256,35.77293006271215,32.16572703237829,28.019852422477914,26.63148546289667,24.584261995889847,22.70635428300174,24.886375451616953,26.553443365418698,31.087062154442638,28.504397714029015,26.81201799008147,30.02203311410772,27.81708341036289,25.06355724727661,23.95230495750165,24.192072750384195,20.850651649993825,22.973073681277825,21.11573625810838,25.779087560223807,23.89623427993408,24.178796632717514,25.978446775658647,24.19103094065828,26.03368167036494,26.356983657607145,27.510531963398343,27.861086558986173,29.706261875969346,28.49413006394634,32.90409618167892,34.15811551595049,32.44684636041094,35.02646564865821,36.98306762094707,34.57244517741861,30.88854446660914,31.113491047215152,28.942427065782006,32.17840951979613,32.8410479124974,33.25835126484422,33.91540860593552,31.6862547418317,37.00096165367034,37.06470587611986,38.22029533508432,36.970306627267334,33.77336893763823,38.492639262895295,41.047231716750964,38.33433745648336,41.02587190525099,39.56121731916947,44.41482232290102,41.3528685901096,43.62871552229566,43.47499139378848,41.140777566842985,40.58390220610714,38.65816899326615,39.11671205298938,39.57344230965206,34.85815051693073,36.18754950943715,33.7842315922853,31.762758288440395,34.66755294125476,32.494821577624485,28.836262837028535,30.537930112665432,32.64569047075278,28.120070042323054,26.123000525426253,30.073395300049793,30.768171128856242,24.977425276460476,26.47077855059249,29.11790433941993,25.599547165792035,23.24133319765342,27.57253960196565,28.29947481556616,32.41489133601416,33.84318589228503,33.602090187617314,36.41291495998624,41.1086344568445,43.793790806397595,46.212015513947264,46.82484445329329,44.96995145408179,46.9595230796223,44.106668185870895,48.356482021125785,47.7912536899728,41.731494253290606,44.04599237649369,47.833980922265205,44.096314894050636,41.5647203500316,44.617596059072014,45.299518141077485,41.19828110458717,39.759181990004215,36.642507934485586,37.81530542988374,40.75095811621382,39.66625106459579,40.923975307534235,43.105523451736,39.947517986194526,36.93058028532235,38.70443228527928,38.18320279447066,33.64322940254578,33.38448308280234,34.67622761031003,32.14535758183588,29.98866709826119,34.72500620902453,34.28256520284286,29.779145456724393,32.19430126751116,36.20932834997599,35.866201748829035,38.67057677057458,37.71194542740116,41.71062090235374,40.46899197759203,35.21867312015242,38.9026268090951,40.77586994860055,37.6870608773464,36.433196421106224,42.420072187093524,41.50480428706525,36.42049343758022,38.740058192432,43.51220437018318,41.549723022348005,37.82245965041679,33.098391474219646,37.104631231670346,32.85847517545125,33.56866822761821,28.18770813342067,27.872967714177108,23.05570222169291,23.35464143024713,25.115907457779556,28.39794251539599,28.74114792809479,29.954147709759784,25.589895154720416,28.212310389444085,23.576268851711575,22.718913334865647,25.89619666971797,27.901126141383834,26.484976090222244,22.250852621145054,23.448937670689208,24.388395866186237,20.062180082755432,18.091112437372086,21.940030636437147,22.192644886365233,20.39606888179924,22.235873292714004,23.534555507293184],[20.24565936387561,19.468399843910362,20.401841446127097,14.85074454055841,17.28420377444728,13.992983136673207,13.178782559746082,15.993915765606577,12.332500040709803,11.98985872482944,13.42792431797027,17.03698639772337,16.981731982068315,13.520159300015644,18.333491180220093,20.62480657959356,19.303967219816403,23.0650205207934,25.03833718048183,28.168151535207592,31.170236605311484,35.288236563406976,35.55042492759063,35.17229532500088,32.341839465518305,28.21980650760673,27.036107866870587,23.16638078985545,23.834672394639313,23.87246194004661,25.569445427898284,26.219424751903336,29.198896219803828,32.531717903532886,30.839090429406447,28.962277654682335,28.952519741207436,29.367707425842106,29.682470600707347,35.980941295087455,32.63460228793251,32.393617181709466,36.834137502107076,36.812661285062354,38.86841010046117,39.215630265836104,43.161685916978975,41.32651318970152,38.43954234250446,43.329085703446815,45.100147684769645,45.18746873892447,46.020704631390174,40.471946876626006,44.44318879466076,46.007623627576706,41.6476278276626,41.260905856502916,45.697814367325584,45.175580374268996,41.46266166031769,42.20419427840429,40.14576210046482,41.35874559715667,39.18489427363082,35.77271902380661,32.248071852472805,29.20570072947603,26.08038941874607,23.5417520141883,22.46206392381991,24.381302846837155,26.521320067217882,30.309030568161063,29.8021332973298,35.96858161273954,35.5114125062444,38.29847649445878,37.83332466272741,39.49207417895922,38.02465845256275,38.212854720751906,36.54424125609315,37.763302153347844,34.88827034596971,32.61536360788068,33.60375855443301,34.21236829695909,33.01070801465797,35.62345353848698,32.63484694686277,34.868313108534,31.461154515550607,29.662588378799196,25.023118274126794,24.88420974622489,20.564506109421906,24.411698990445146,22.605414747340106,25.254285672876303,26.85010087250517,27.54027217026554,28.948408406135936,28.51946482992115,32.18097877784536,28.48884086420339,32.127576767927856,32.05549440926152,28.746224739853997,27.609281830712447,23.018762170832506,21.70220648696918,17.270984707154625,17.232778402156814,15.307208844593047,15.757007227686907,18.11048984158895,19.224715222431556,22.152165082307278,20.107033325239147,16.917752009842875,14.039639273637825,12.955525436829385,11.908446222984377,11.23765175251604,15.879025303484553,17.250592963176278,20.714828215253977,24.157510222959623,28.00057430841147,28.906937135732207,33.13678123233585,33.361265184962654,33.26345090190844,29.537460460683562,25.225628861528868,24.418448526622967,21.7043972099047,19.456148007946574,21.229147002030395,22.677595214281823,26.987631310811555,24.22544461359806,22.687698697702096,25.86589248220676,23.724408374408434,21.08739865739668,20.292244646535877,21.026407241787876,18.0799235039153,20.939630626226315,19.459203368039045,24.496453326272007,23.385300268874076,22.879687318955494,24.112930794448726,21.74137866936975,23.716985761155996,23.330059506435354,24.745307102964965,24.589966804103994,25.967225440695106,24.723095876410884,29.064183437089074,30.540090682026726,28.967141025680586,31.84516919766795,33.915868751607576,31.878235356133477,27.992973772656498,28.245535205232006,25.729393914703937,28.82190454953078,29.458198781803674,29.795779002057422,30.707924856351635,28.27759061804458,33.76092747913436,33.553545784120836,34.96097192539455,33.573362178198096,30.844097025073662,35.552815128700736,38.030819823011036,35.14505985903521,37.43112750061485,35.6886377913575,40.58451960441181,37.42404168322849,39.975774772898156,40.03197179211348,37.80337360652269,37.61833055494804,35.96420959818004,36.7162019393618,37.56765366163833,33.04389179528902,34.712122816516896,32.80664282385988,30.72125636226555,34.17901905960027,32.04917526994881,28.27402517942624,30.46436889765038,32.88195213914689,28.4576226959778,26.610216997559252,30.878786154317357,31.762753300669274,26.21366049678159,27.98793000834116,30.87323926222637,27.473886997632334,25.408024024761733,29.88228255624533,30.230259414256963,34.50459967073822,35.39884046652155,34.916173733533405,37.930203973318356,42.32257145262544,45.30725479675949,47.29928720066084,47.67116265918721,45.46012445716524,47.15701331795115,43.97090864386038,48.06452437783723,47.81381667568397,41.61256294837786,43.52460662051411,47.3742503734871,43.804532764805096,40.96188435589159,43.66888486195811,44.690055801166906,40.736118700430545,38.61911767010217,35.988762377772275,36.679085814426806,39.83313537853155,39.21407370321896,40.277156302586256,42.81949242727941,39.31620475441356,36.379175524141466,38.77250896361407,38.14295641766614,33.42198614886423,33.649144838495175,35.30705393953315,32.87424637767104,30.889623928173467,35.83258042814148,35.647150969198,31.40416273532093,33.86014369210447,37.86393917052068,37.29571308667051,39.730251124183965,38.3046372006439,42.26272762048026,41.511200927159706,36.0738987246348,39.29191079584291,41.487990398250965,38.56866088128547,36.75852762569254,42.75679455890153,42.249450025083085,37.00322336805144,38.78876704192279,43.80585423430249,42.18137320793209,38.36023329061932,33.77172343226937,37.91887642046705,33.86242787431017,35.01863797622067,29.570533256066312,28.989985487176284,24.346374012190466,24.66022337869005,25.844746514944088,28.9369882654299,28.759298292312128,29.98339103188963,25.17097415970333,27.30934597546879,22.394884197520984,22.49700756529574,25.3243563560019,27.814095953127012,26.08320530527099,21.914762778089028,24.036297561508743,25.06455413364217,20.07197411281624,18.964699813020363,23.47670290545668,23.582462975111916,21.43579336410512,22.886720136370883,23.898888708109574],[23.088772310353438,22.050949735598532,22.915636584670583,16.644172793079786,18.98656844361445,17.183732833765948,16.333765939430037,19.692726746532024,16.36807725619832,15.192948588678021,16.81006972967967,20.78498829553426,19.755396169277414,15.911443828979905,20.738365993641562,23.00614639586315,20.8418198280128,24.14292934443733,25.107326239646994,28.576761982869606,31.073804766085413,35.216724562365776,35.01197532106822,34.246751676813126,31.725831864624766,27.66288264294429,27.00259441360715,23.57301998546495,25.014655733461787,25.850583715867646,27.55407109945336,28.83656488224052,31.97261042967015,34.84302124667643,32.98323952980685,30.575962826503694,30.97233490433285,30.434541733512283,30.4397941418192,36.69453045126214,32.636166917027175,32.53113943763283,36.982822926903935,36.54963624538822,38.16077561553648,38.15435571571242,42.21282202694613,40.87592834679518,37.81131291664757,42.56254991693143,44.80008512488739,45.10242542385538,46.19710708992848,40.81808801482107,45.19812236491946,46.44669032418034,41.9467380592577,42.06318082009849,46.37291757639901,45.311144701091415,41.60727853065389,42.649991785692684,40.9459042330059,41.645230573791,39.257083731403625,36.26811304965452,32.4227688453221,29.916446939338776,26.294921284068966,24.399135543520995,22.748049652812036,24.439376045183714,27.200241712081933,30.646631203926244,30.856678473222352,37.04392417551545,36.56546427201838,39.778789571379804,39.24324672572009,40.66522126189012,39.6169852190277,39.5474145073003,38.40758525376237,39.27223271297912,36.02804239661129,34.0803531313005,34.78337289604952,36.05770330610482,34.357522377929655,37.51028830429233,34.3127990397885,36.504485573949324,33.39378882726532,32.0527974012946,27.51717942983693,27.540211929979787,23.327595998050807,27.54802022506781,26.087937310051267,29.231737558647577,30.16943827687047,31.082779747419004,31.875199037093918,31.534900606884946,34.6179219386612,30.973917905503136,34.656752159812285,34.161821044263306,30.950620456705707,30.26154848950206,25.64567121471091,23.992892256207213,19.909344828945834,18.929727351929724,16.971592574081736,16.314414224774183,18.48018190879595,18.48857434935791,21.42754671045581,20.404375594793372,16.914338473786064,14.698966364742933,12.592137206672168,12.588203468875106,13.072846819786445,16.987273156334307,19.492476514543032,22.383463193189744,25.878225373138978,29.776315625390275,30.122207712747596,34.56394924957733,34.31774613730901,34.745996355032815,30.418292306728713,26.200269884034483,24.90870693374603,21.87050434509732,19.04093279871659,21.03612310903742,21.374615865751917,25.831443949259533,23.483727847671208,22.481087296725274,25.98908327551625,24.586846370868333,21.996875358711932,22.12426131468478,23.307857103527052,21.035355782334506,24.281136420409915,23.41400971559374,28.567313995111963,27.869677740749175,27.195050432076997,28.078049606751907,25.33080678109616,27.121207680780085,26.23369426343823,27.347301255646144,26.24238372893866,27.424942454346187,25.315945419886177,29.725534897590812,30.712434301972916,28.4063483446645,31.687889771824278,33.22528110394052,31.370629404198624,27.42299760673841,28.234269459579295,25.885286483673976,29.486852191058794,30.617180632214826,31.33242968564813,32.799868885851396,30.50486211757532,36.1090293874884,35.28993145622152,36.82783843344434,34.78349216387328,32.60103303946085,36.855372396576605,38.98310167326782,35.87882174656045,37.998260333098315,36.137184756617124,40.80976641937803,37.01193388286565,39.73843638023321,39.6522639189665,37.82168795891496,37.65547143483423,36.22854080755302,37.20821770891386,38.11964997854256,33.695830589284796,35.782792441898025,34.01265711651986,32.48462048868662,36.079370076595175,34.45784577849695,30.496587543707808,32.28405551131094,35.14454373063163,30.992571834999126,28.378647547705796,32.869934263059235,34.44738407261124,28.69772590571939,30.076626261207714,33.2762673564718,30.278169772541453,27.596911974608116,31.897154512400448,31.916570434808875,36.522939955189386,36.54620133601533,36.51352912271564,39.8269440005014,44.0873015303394,47.335717758236136,49.121270203606784,49.82776572843565,47.57778754996149,49.386033890607884,46.29560869226404,50.12992572346057,49.676908732961884,43.417948315111424,45.358408337635716,48.85582870595785,45.09760466958104,42.300179318266096,44.86353511907945,45.494796941286225,41.517432774313825,39.399981167314756,37.214419157042975,38.34930460476066,41.70666104087929,41.472891094489476,42.84976968441791,45.7130851487677,42.314443923690426,39.07052932837116,41.71961499938144,41.45141502460268,36.62330726747712,36.623664194079375,38.655791345942816,36.41011216680805,34.08435541929946,38.981201833400114,39.086538796939614,34.83776267016057,36.865788544308515,40.88044279471808,40.01581123732567,42.49400785785767,41.02441649054765,44.77102114939525,43.90329247357575,38.331110585032455,41.42672773619112,43.376789349617084,40.35113770544324,38.35337754220313,44.251334142301424,43.47969801118172,38.08731856028269,39.78373650435596,44.69646240237202,42.84381647240351,38.89670106485873,34.29939795280302,38.02085179274182,33.814007096269656,35.53815250189368,30.12814796967879,30.14343949521088,25.851488657968762,25.306620994740342,26.381299646371346,29.05943099440663,29.06430895372747,30.951257671961795,26.42462187803116,28.79284500817125,24.063422637089378,24.77608546491394,28.16222089870198,30.893611601611934,29.552849987574618,25.07899943846199,27.179958832513528,28.736384672135976,23.889526603140226,22.311166134953446,27.032580224295653,27.60094117982728,25.6386971026499,27.194963061066826,28.253070905068395],[26.68182982069693,25.51675223788683,25.95539120261633,19.81374499361261,20.992091555094444,18.984060569946344,17.02983633428015,19.723791121305876,15.97993574617987,13.490847843870485,14.510769656750153,18.78975340086166,17.148746161012717,12.743311875971246,17.1301949169888,19.552445476428474,17.20470898445567,19.968086947958398,20.648208061387066,24.412081467075172,26.722062632360288,31.029842763854646,30.743789458567385,30.198674131021633,27.834502520359607,23.61328543202438,23.30653871787969,19.94991584221902,21.307528083687405,22.51657222254127,23.553627282250595,25.56473667129193,28.532651695955803,30.99261747756915,29.29626367806776,26.70946316105557,27.68425358033515,26.90438229629435,27.199276973476874,33.57541486810933,29.456558400022402,28.773204081677907,33.227513079229844,33.094303500953174,34.592476981811224,34.906286072792035,38.869273848992144,37.49116160869254,34.87473587841181,39.731536387272826,41.75630856971042,42.21677657259632,43.05273903229899,37.738442109985876,42.060056305439176,42.92945685919509,38.35198427706739,38.320199762801316,42.530612755632134,41.509230739066325,37.527083921728774,38.329326698431124,36.5923285772347,37.07391508614515,34.83694341991092,31.96809100838929,27.808689326355484,25.388551692734936,21.54236681269243,19.721332200306556,17.895242707220532,19.51212814499947,22.37805524310696,25.78042297377522,26.238550737285312,32.378912764368444,32.11111533129829,35.42222635827243,35.08237520231117,36.6508981750626,35.981513922354864,36.21276609884212,35.475226195090336,36.59776924077905,33.305678808251066,31.043341225926888,31.212263909414528,32.59230837440799,30.36001008829935,33.48830069100199,30.05339290993805,32.05415577616389,29.10541394506462,28.095480654154066,23.735530235435267,23.803445635642138,19.791506389275273,24.428225022998493,23.539553364002575,27.412755873570024,27.715320175556588,29.499102433798356,29.687830399446316,30.19522426359445,33.31846367226596,30.245885968433463,34.3100354222102,34.16894179259857,31.464233149900892,30.365162975694673,26.0738623372975,23.54799092164194,19.44834146137739,17.916662168322446,14.798781103097937,14.0222371312642,15.22051624941239,15.334628315123107,17.252173761139684,16.187135685638026,12.667724151768844,10.953432141839434,9.796801208751535,10.848309697677008,12.526831390195447,16.735616246864772,20.167670689021815,22.578611234608417,26.271316895429962,29.530065682924654,30.577756648507243,34.84093731928529,34.1807175356895,34.16645397068274,30.01495896087886,25.65978414894942,25.38524452398911,21.614494215503683,18.428433808392356,19.52238221706569,19.442481715061056,23.247551697452383,20.43026476575723,19.835612688027023,23.071786598978573,21.587267890456776,19.419452843093858,19.817104469608953,21.682634765677925,19.81958046125213,23.684655602356877,22.797020357499353,28.032080295324725,27.701125669449297,26.181445511655184,26.749224131526617,23.65042383209623,25.844256236530388,24.15731677343011,25.997620494889723,24.626502282182113,24.89020926956953,23.197253906442135,27.28962236962902,28.877011054813284,27.04401535157084,30.68997136906341,32.48324930283293,31.207256850393243,27.07062573522357,27.791418175672597,24.924651405505394,28.015047353358177,28.869554506836874,29.217573974947754,30.788573946077495,28.032230451124786,33.71553966500596,32.83235840825209,34.75974144457361,32.87609930395267,31.298593244507284,35.65065226061908,37.76210697179453,34.515233156637045,35.930433275997075,33.57817330873481,38.350363980406364,34.574635672014594,37.78298719616188,38.11703123359043,36.39558752949031,36.83690584813013,35.783570102033174,37.093062413092596,38.49518440466385,34.36829603217768,36.67851765048915,35.45159105029663,33.67190797510714,37.70764290132889,35.92230516129413,32.0239137123586,34.412673093949515,37.304532977517596,33.179316933187,31.086787278311622,35.65982948759987,37.03055121141954,31.637810903475454,33.37422740797958,36.55002016897485,33.443454673958044,31.26415810246932,35.69298567276701,35.63081479305734,40.16247967600707,40.17751467025236,39.80824451727768,43.11840578989356,47.1777109325785,50.51741063119002,52.05386232974969,52.4113788164803,49.889180055663545,51.363633034987224,47.93650622598534,51.70138263192163,51.652732759758834,45.34439973470153,46.85066532081124,50.519678397945995,47.04153084072414,43.94680760876887,46.16493102979218,47.28340703817433,43.510591700269174,40.7099264128038,38.925160247359344,39.351338832934964,42.80803442186045,42.887758210150835,43.88220950170557,46.90236253350864,43.122803385225,40.19520005854648,43.2738901249619,42.677091294148404,37.81845729956479,38.412858093763305,40.50210333082467,38.238839237756046,36.30840995421739,41.336008869563685,41.44274023697605,37.41545038448979,39.726745847692264,43.69833510484286,42.848537917143176,45.00294543817051,43.18692514534742,46.972056427068885,46.57924041310104,40.9728564405769,43.69879134392122,46.01685727775843,43.203330895170986,40.83537044206616,46.71796002710471,46.40309750717689,40.98056515515642,42.21818958406825,47.33406118974088,45.86416626579725,41.915799552634105,37.48966138197321,41.39329911978669,37.41914144679912,39.30156257994997,33.89396446030221,33.532309487501756,29.298886533848002,29.06612354414013,29.744619816667566,32.33555879486793,31.85521554652685,33.514536684542655,28.591808473955233,30.33335103055614,25.403952143679252,26.761076800668885,29.431504614569388,32.41038657893859,30.551312210034773,26.48837701460585,29.31677144227909,30.557193480014433,25.202514693357145,24.659034791011134,29.56283857926521,29.660439554661572,27.326278160466842,28.42235092715768,29.138708481388512],[30.283800500342306,29.292184405996178,30.04089249360296,23.662608419598534,25.317716849841336,23.775468722887094,22.153904338502258,25.0217806567213,21.24501458483104,18.776930357590402,19.50885295069969,23.783244071430545,22.140062239243175,17.5393192810522,21.404885804763,23.979143453813727,21.440864692528717,23.473412713371495,23.163305354232605,27.35275516226101,28.976260525351705,33.3508341445917,32.50663712104169,31.719287976870564,29.91565947551904,25.77638733461562,26.24784989773307,23.434096226887526,25.188947516853084,26.914897875398996,27.334521872442586,30.039623705274426,32.774306754444865,34.832265584944686,33.34843250119432,30.520037336933424,32.019910011488555,30.664611511448665,30.890246549847415,37.15718888976115,32.51113769325384,31.662777145074383,36.02900144539146,35.68800132280498,36.62944578433424,36.71062167003835,40.685804368586076,39.85549443100346,37.304021949643904,41.9752004178243,44.36959740671854,45.093835592492105,46.050117760071146,40.97714563049901,45.54176040430763,45.9689490307074,41.29320785251533,41.565528936358085,45.558066179237784,44.12855106062343,40.007422518435355,40.826350083005146,39.32654866037436,39.160552801175406,36.97754018300869,34.646196546967914,29.947872663414632,28.096499381812503,23.6774096609308,22.348642724748004,19.92366760502117,20.708300264275735,24.322518216658832,27.524476011665644,28.874750788002395,34.78500883974483,34.94107131149576,38.481189158774875,38.38450306513687,39.95783126170834,39.80437961050767,40.072315702620934,39.812202305263355,40.82728472301571,37.33601042110242,35.19140121974996,34.9277271244928,36.68192404347795,33.87439771244049,37.098814289723286,33.35949039424184,34.926245982930524,32.242615855258606,31.68142149802836,27.62152968711603,27.419421701583698,23.739109059830813,28.844190437245047,28.325158717499693,32.38129336291751,32.63405382144462,34.719093097374824,34.69819301591263,35.394205822682395,38.31674204083924,35.309682654179504,39.36316353642886,39.01570678857154,36.31037834152776,35.446391895431724,31.117596048727915,28.57845576875403,24.634232065961086,22.80415450577219,19.696067404773522,18.360825123017236,19.096896875123786,18.278673500765574,19.436134172405815,19.38020320764683,15.886494513058683,15.138630498137521,13.745761829815812,15.529261332867286,17.577788210053004,21.326702223631756,25.061820873880837,27.28848697662257,30.941427893088562,34.261519869370446,34.9212054700107,39.29648781033644,38.374929478990595,38.70527423134652,34.21675069630866,29.99018083207175,29.329221587233405,25.47571499079868,21.958526079616636,23.136940934793238,21.91887691985867,25.5356042260794,23.112925386427925,23.206382957815993,26.514565376029786,25.604132430498904,23.667955191520285,24.60171826743414,26.71081070062583,25.087831140097215,29.00600614309116,28.110403523661887,33.326191745633956,32.76547761126563,31.23940300265921,31.95151910233026,28.857561571631084,31.131157226276265,29.245631697755492,31.110164243072994,29.328602262316558,29.31825396665491,27.20782120714807,31.179479245341856,32.47713317758546,30.10848534257194,34.075174930508176,35.367729818001266,34.29835880607545,30.19064158216204,31.3722767769568,28.690215753705534,32.058557048176425,33.19963481855618,33.70756932300576,35.560567640138316,32.78075344546641,38.46816365757318,37.300120875870874,39.36890591586976,37.15609552283503,35.99355325735184,40.043439135931166,41.89951288636374,38.52016917958799,39.68453104582778,37.15229684163614,41.695672846945925,37.404856857405726,40.85111343905357,41.124446575429396,39.79988450694905,40.30460286823826,39.45968357029699,40.9246653330669,42.32685794318606,38.2778123403803,40.81773603723951,39.57740513934724,38.17384478589493,42.153583024880874,40.641503447366965,36.65900561266521,38.67461530857133,41.7394133089836,37.70337796448204,35.10532444845855,39.71848762824448,41.41671735203276,35.77879171098304,37.18313898509642,40.45363796031166,37.48324731745687,34.81551358190499,39.086403321216906,39.000923687023004,43.68601812034995,43.35135237371978,43.41532890558582,46.84615512658225,50.958983773679975,54.343954317142924,55.93634323044096,56.611447610540964,54.18861911743845,55.83159096568668,52.55418276237618,56.21164917436222,55.94293091031321,49.63559376112133,51.27229042871475,54.6885638745497,51.0329006580667,48.058697249317404,50.25838813569551,50.99748723548892,47.17036800799653,44.55305777253033,42.97453594264614,43.814032004637696,47.34868038963547,47.54598849376354,48.75972730906031,51.856312093660634,48.19407558032901,45.099998806829575,48.1455143341407,47.7289191585927,42.85360772867101,43.21221505168208,45.34947673294567,43.10236882311629,40.9652650758133,45.92812515370143,46.04662863239816,41.87204301045006,44.0043696816652,48.008752427370716,47.10650520752592,49.44805656895338,47.7760292361218,51.47516732281727,50.83027300455138,45.19693687653176,48.02980291183899,50.08111476303602,47.12501961846055,44.83418272263598,50.65178222275336,49.9920141678319,44.52123469222439,45.884665465914935,50.830806052017486,49.05377579794161,45.0448635544219,40.56444434181256,44.03884974258762,39.86456430412086,42.02628783233173,36.69075645086352,36.89937966035346,32.81839972793461,31.972716020027015,32.81572393324012,35.146402708281975,35.014949280685876,37.16996768397085,32.58840252363518,34.62507309628873,29.87471599583208,31.283500691399407,34.35519396325461,37.32300119406922,35.675927032114075,31.44314084778672,33.997184833360805,35.40558177831784,30.223233093135928,29.232083921611736,34.02008954554875,34.285957348817604,32.062582002043975,33.29269559509417,34.07435478869716],[34.36017422985139,33.04232845654627,33.24494484853296,26.891228825093407,27.334704575972683,26.129616768931786,23.63950407250812,26.030958878028954,22.388239307275516,18.835583089173355,19.224634389148928,23.481184601363374,20.84150131169961,16.292793019240193,19.25996244586555,21.58569141139774,18.56712199962821,19.577148399938213,18.315517923528816,22.74001617723879,23.830096614373495,28.226925267091765,27.128493997356863,26.40830566589638,24.93622072640824,20.822278467611124,21.92266820584534,19.64436293677819,21.629815856869065,24.05539989880988,23.98420928750306,27.475015068789727,30.108664448051755,31.43659191187936,29.95874255478413,26.756845612571812,28.9071045667369,26.848747722207555,27.17929061912753,33.29404633527084,28.440585826011077,27.09829888677754,31.330070519585743,31.119262490590895,31.755122505239985,32.04955673496503,35.8818817600495,35.19018254195817,33.1011187045934,37.740934447544724,40.01263908121234,40.962008210981814,41.728641459375375,36.89471574833458,41.468146122681354,41.40090298668082,36.68043461694064,37.04419482987877,40.817858551474274,39.21362862414083,34.93153704038743,35.689403328946895,34.39196852534428,33.812836070896964,31.64969116798591,29.681942153285693,24.718339190838208,23.350784342789296,18.670128705294943,18.05670672179025,15.261113903588765,15.928672819666756,19.769820481568072,22.426652949662063,24.340126177132753,30.046479952071433,30.21584156079478,34.02006928940037,33.96937320804431,35.45222191307688,35.8442829026433,36.21703421768371,36.60161580299619,37.644402617906174,34.04356053246801,31.83731602998858,30.947935184379535,33.11441068509363,29.680379584574943,33.15789098179156,29.279687174452658,30.737810790876345,28.51195258349854,28.53908318403933,24.88638245866021,25.034969496579045,21.83018675778995,26.960361922276697,27.095828049063876,31.83334164933874,31.04100319857059,33.845863909496835,32.93264399441617,34.38078904073298,36.94347551611704,34.600202105198925,38.90609123134517,38.74451241869919,36.65548684131717,35.59373497897919,31.714270616596384,28.354601704035314,24.784022099999934,22.25211466109143,18.466979132089307,16.700448240120735,16.20048697447932,14.974013043052501,14.680356300472914,15.323566912209232,12.169110493157193,12.748401844910687,12.149422060923568,15.016252823195455,18.09779177198498,21.39474827955069,26.029749158417953,27.50265910128131,31.185425196092957,33.77131905885899,34.919616921417315,39.050846143249,37.57842941488738,37.62689993617605,33.26421076533222,29.11563108230352,29.359526412202033,24.901955121494332,21.142253062037312,21.350720539690055,19.36841283717738,22.002990271095047,19.384255305329724,20.186661811474885,23.088188493952824,22.5211922318111,21.205377208343656,22.763044837940015,25.53292790305397,24.708376773523263,29.09463635245229,28.588133610736406,33.73385512578238,33.88896261711467,31.616891628908842,31.717907281422352,28.231731395865708,30.575867920440256,27.837045478503477,30.062923689997458,27.70249216258945,26.725259516651658,24.774694890746503,28.218456032522226,29.88159996560174,27.887310901466996,32.190633847905396,33.56624998981754,33.20393723955837,29.048023905465758,30.22735338477108,27.19440452592658,30.03781907631267,31.03852004112467,31.324731826339338,33.45694403325922,30.449742099929708,36.03889918192982,34.53934903562652,36.967624092031315,34.699267539105385,34.398128488489924,38.22973366203212,39.889679845601755,36.38540159848167,36.7314474637878,33.73393910536486,38.16315220124381,33.784523410908996,37.702696027589724,38.3785300938736,37.32698996616361,38.46586761334994,38.1056816136275,39.943309629856415,41.84907270022076,38.23752975411786,41.068741691460154,40.4700342691568,39.001390514127166,43.411374232191584,41.93087984145675,38.02503879149395,40.504895050669084,43.70772622266402,39.85979999439001,37.613090260352045,42.32842889931225,44.0331893918591,38.7869827951285,40.45729116875605,43.79924569663148,40.899041881313465,38.62757518595156,42.97997744817665,42.65406231751314,47.341585877154486,46.70357428382288,46.468888142089945,49.97418016244218,53.761259164981,57.33939202929045,58.52982283747662,58.89377524402387,56.148263182354455,57.431682798922054,53.8408079785313,57.28592307333166,57.406260632643544,51.08707719078503,52.229781064663115,55.685074721476084,52.328247803726846,49.070393379519786,50.820380467874465,51.98701674164505,48.433216198642285,45.095779855944784,44.10146596994929,44.30032499138767,47.950420022275445,48.61960086664182,49.530004241981075,52.894569167671115,48.92322559893728,46.071067508589636,49.64801337583647,49.05808028221259,44.163471733904245,45.043699147110736,47.40539362660124,45.26654437218222,43.41220255219655,48.459190383159644,48.74700344254988,44.87343167637303,47.095120014265106,51.02822165096197,49.996934679437054,51.946755901086604,49.86109560901973,53.48227121504177,53.35828940083811,47.67345477080651,50.004630988806646,52.381249951349126,49.66663240279955,46.903885655109804,52.61489740097582,52.429247376869625,46.931380830008045,47.720276765191414,52.827950108906784,51.474927087556935,47.47194093897611,43.243951179636404,46.831372981145556,42.96427679116196,45.41305019798772,40.126914132717054,39.99981998792526,36.12915298242325,35.465642473608995,35.80050018449825,37.92229754618992,37.263630203316,39.267079565706304,34.42128723632703,35.81860001480785,31.06768401854959,33.26180038098955,35.744337324287336,39.002075096492156,37.05344948410267,33.181189250862445,36.41225202057221,37.73506021721933,32.222692251259154,32.046915761630956,37.099848974373636,37.14266174546293,34.681569107587315,35.50931382029648,36.009754779733846],[33.086721097168514,32.175588412692825,32.676843869161885,26.73672295898168,27.62960319315884,25.26005436130584,22.83377666799451,24.687120609005564,20.484290394890753,17.257333103513556,16.90786024659867,21.028033354094703,19.451633953887832,14.577918702543613,17.248425158476316,20.094542612352935,18.068869628196286,19.312755651504393,19.10880592797991,23.56182680441626,25.094289477022034,29.688511653032226,28.965427752704333,28.78181573414615,27.12436346403378,22.791345744117695,23.558415458884646,20.721775425249103,21.771874190129424,23.480097413546865,22.600755696056545,26.0760249017002,28.26365573952228,29.965672099411474,28.999189927727812,26.343487660016244,28.480336788766717,27.442727060543238,28.28919896819499,34.625661034056094,30.399349364712645,28.63173574372828,32.91547341417079,33.26686544276735,34.268760048617395,34.999025571256595,38.72452033582847,37.58111125943799,35.783029989475196,40.6084061565597,42.433265218889815,43.23711343978176,43.6772065802146,38.655889850188686,42.83334598735307,42.91307318283873,38.25330672661314,37.99138997862156,41.871144169973086,40.838469583460565,36.31501834054736,36.512371752049226,34.715666136612676,34.464892712659065,32.747533595881606,30.404655210029816,25.319964596030903,23.313343587761118,18.744485327646206,17.054633442731333,14.576801959990966,14.890629993247988,18.54512655753792,22.044259908096674,23.517973110916856,29.24394421925577,29.971445217283527,33.32764933917478,33.702587126629,35.7087064547074,35.88953797755461,36.79678851226452,36.76194926894579,38.34627681343539,35.07892458014816,32.340297662688826,31.476410055601253,32.90022166295641,29.60555665556289,32.28822754145722,28.268974287302147,29.352790774576984,26.730220651025654,26.443733801011643,22.74420174111261,22.261339475550628,19.045196389141726,24.593052291294054,24.764052181375042,29.319159322825485,29.289873367367182,32.347208459052595,32.0110077033222,33.68921047590076,36.97450072216876,34.62202932329571,38.977455024252485,39.2402255912136,36.999996207232705,35.50273796100512,31.575587657874824,28.44905904832467,24.429594646861688,22.622968617118925,18.45992417960317,17.669957414751646,17.219162232523008,17.179652638262787,16.58342441917866,15.89266223335063,12.827922675641139,12.755700357510705,13.408555457249907,15.595753892332747,18.03666658381863,22.20105544816598,26.07278967581553,28.12065351094915,31.85896920623274,34.492195283025275,36.11594970041022,40.163786055761136,39.11252792370189,38.70006450013363,34.78504542031665,30.4446830201677,30.986788990465953,26.708415059548546,23.25253129303828,23.412787636344653,22.37259019314323,25.017378605979562,21.867850394989773,22.2085323384686,24.857602103612003,23.45051757829232,22.12840235781116,22.82317706353225,25.394222949436976,23.897425879356604,28.098200165968397,26.794366887143596,31.83181596868363,31.30743927795185,28.975432483787905,29.622374179720474,26.50262892154457,29.346769419868046,26.880766391774827,29.770373115122787,28.30183247150414,27.298476371580396,26.261983896888356,29.700046712392982,31.953869175837873,30.549080841549888,34.609861777386946,36.43331945761177,35.84722384576906,31.642537443584157,32.42390800406295,29.19066676643784,31.677768183492987,32.20889239248067,32.050925342893365,33.64850330662128,30.254803398834298,35.8419310791249,35.01631044849569,37.45781059877799,35.87374304069794,35.102545581491356,39.4600888021525,41.4759605897876,38.10766508841737,38.54320247517653,35.516428614297645,40.24331866414021,36.39403884626625,40.27413672737984,41.106797174362455,39.70043260411677,40.8418253462001,40.26355070769226,41.91810935107332,43.750291704430495,39.949648362715735,42.447303210375466,41.62135319980016,39.70020149488363,43.966388323941416,42.031891981533775,38.23888105741714,40.96756796021413,43.80009906460243,39.65044117144844,37.88791655634082,42.44061155207254,43.57453712955261,38.343948836862765,40.2275383226269,43.299425086661124,40.01726222294791,38.052071160549076,42.5179443101516,42.56772712378886,47.0217085786931,47.18287228093464,46.746149417605494,50.00702377603085,54.04731703738073,57.34420567460656,58.86486844032094,59.052383208388974,56.42757184933539,57.71076284846856,54.08689626650661,57.82466648220521,58.03964988943917,51.73545844524693,52.966319966732215,56.73336807895559,53.4391187603861,50.18408662470268,52.149687952006225,53.5453117190337,49.912348552813214,46.70051807641965,45.231637550530415,45.1896864261838,48.67961074121831,48.93659504139829,49.60396441743614,52.62780320041903,48.566141957497834,45.98550023173082,49.241301845303504,48.29773800767534,43.51046063761206,44.53199072985797,46.46391097523667,44.09776655198909,42.52860056703075,47.592044506972805,47.51450380154729,43.546806382155964,46.16564032623912,50.113020842768584,49.41789415525515,51.467126315660344,49.54225365257626,53.390121159460584,53.212423415278415,47.64259291127043,50.23759643214441,52.73526912423312,50.01288012160015,47.53097080276341,53.39089179377247,53.25597400552597,47.833250274768325,48.878854055363384,54.058047488311075,52.713913621526444,48.761117026848495,44.396651614918675,48.26283085508078,44.31024782676997,46.2932152588778,40.89429997643667,40.518941195294616,36.268715104398545,36.074137673034,36.711473764320324,39.21988416367306,38.63189646911999,40.27000289356199,35.22550985605736,36.62840638020021,31.649392821901262,33.250156883116034,35.39386627284723,38.399129784875456,36.08134023826611,32.463673551322536,35.58761360426999,36.400335746468755,30.806023542751014,30.93350429583083,35.65727331237683,35.24355245559334,32.63776928156473,33.357740955289735,33.76033271251059],[30.184303583527477,29.589511901202705,30.543712325172336,24.682720178417938,26.5009123092092,23.762937527666832,22.016587002197063,24.162481211480326,19.827608963473367,17.52794893839535,17.409809009344706,21.47584490370237,20.75842315561724,15.934050111608647,19.25857313398016,22.24160389695274,20.590423308386978,22.56689407732785,22.968214201560563,27.228876590044017,29.101319926191113,33.658722976730445,33.089668621635894,32.81793033911497,30.94623162402273,26.60617362655536,26.962944779200242,23.796434712594852,24.729808555258224,25.92794157936997,25.447733132626944,28.280825335969045,30.519019365321448,32.76677088522954,31.801912439148513,29.434780409946203,31.075603579006955,30.533184291010144,31.282555319171195,37.70778106947599,33.60482491661615,32.20686270637231,36.579649362191894,36.81213478288158,38.006445234682694,38.56598429257538,42.40238364069559,41.186975470566175,39.050760051286964,43.90029791714111,45.8297056608741,46.47935221950727,47.06058377016612,41.875448911949476,46.055092512345716,46.48425595747796,41.855199363381416,41.547237241157006,45.57365355722308,44.65006880375422,40.25147192535319,40.51120518076672,38.593399396094505,38.62605829672254,36.8759659833505,34.300968350496746,29.432508844423783,27.134210227385633,22.790414365666432,20.69414462137323,18.519824351734606,18.937340720235447,22.360043953545944,26.149293942958664,27.223130529842926,33.03617890524364,33.736493699889046,36.88920550781443,37.221449175318256,39.27442150483083,39.06356302609177,39.88417188672367,39.38490794363806,40.94537551841452,37.759364173516225,35.07918136619826,34.670425801242445,35.80265089884526,32.98155161886499,35.47671843582878,31.59407142154476,32.75272607701472,29.818494447036123,29.08486543169141,25.119582447967886,24.358600995208604,20.818107904552644,26.269671786624304,25.921843341938086,29.88650749070118,30.714316395922456,33.20989564787831,33.57515817067679,34.688618890939225,38.25092123427184,35.41910354317509,39.57485997756501,39.72169918221657,37.03264060743521,35.660809278402425,31.417222327991052,28.92274866550606,24.632013834664747,23.385456640911233,19.748054501783358,19.26879788341844,19.686522059524073,19.8386090035098,20.254968572605875,19.232906696431375,15.95350071735217,14.986579298081011,15.004278731359737,16.420282199132583,18.056569638491975,22.54353814792017,25.68985298044394,28.3047172369759,32.00452480046877,35.15776779281178,36.44526351760889,40.65140687006105,40.00961920281492,39.78662018635421,35.80303286411586,31.415908630353947,31.330964139972608,27.498302049241406,24.231063868326256,25.046409596819846,24.486061812744563,27.78708219056613,24.799089232184844,24.686624342509194,27.627756558221215,26.01820642899236,24.26129912425534,24.512807536958235,26.57744591249203,24.473954512837665,28.280514293042295,26.626953264278825,31.68252024870042,30.536992903077447,28.801586533194072,29.97052662933167,27.20023935803824,29.99635549300854,28.205314636186188,30.82527895107029,29.805838614515487,29.504961312978836,28.343684994654808,32.147199090403625,34.12938249952317,32.45921224566291,36.288353647691835,38.05249482325923,36.980190883705,32.817018332836476,33.59308414033557,30.609111148944127,33.45637350598535,34.08596676553982,34.087383582554324,35.4737753345718,32.25805639533924,37.892471864908984,37.31685809091976,39.49057147355947,37.953849986085054,36.56162868563522,41.074272116304805,43.230977377873316,39.95675100544419,40.96929515129114,38.27293602846109,43.0764613047448,39.26754022014139,42.824457808675604,43.37753907380266,41.78550077218154,42.4836945809551,41.56513756992304,42.95070445343555,44.42266387763288,40.31244986709179,42.58479137312069,41.29121806483457,39.39614991144347,43.32699278179712,41.34266659547814,37.51522505896624,39.91536993864396,42.606439447546364,38.30501004834531,36.33901682406566,40.7820680071584,41.85060993686134,36.347241081553726,38.05102549191203,41.02772933443621,37.65628164190692,35.4406118290042,39.84282502592023,40.11685508737917,44.52773570693859,44.99745955592887,44.761966913697655,47.93400891960826,52.227977601313526,55.345814671326075,57.19270594709916,57.59514047089797,55.2233854937369,56.76821448626593,53.38030350780359,57.28493235509912,57.221017309320295,50.940390165026606,52.533424947534726,56.28307747350631,52.78211192773382,49.73962743050203,52.037155728933016,53.13359456175641,49.310734269271094,46.62909422730689,44.72028870567803,45.12625038622281,48.516145119499114,48.402315395196304,49.27423046095555,52.07038202243731,48.240086294315105,45.50560544345631,48.33649772475175,47.49611892492344,42.742824860915114,43.385191815508215,45.10516436140401,42.63938875897402,40.890229212346235,45.8811382202933,45.63836935896456,41.43830225297708,44.029295043956985,48.02462373739546,47.46303671162234,49.81092847851804,48.21193792929867,52.128531483667324,51.56081325435454,46.051962064159184,49.0327002399368,51.29528668845404,48.401097093510096,46.29458971789039,52.22764056763784,51.751956601620236,46.37032141141212,47.84649349554394,52.898896932242565,51.25264562573207,47.311392844011344,42.77270190278483,46.562243725896295,42.39892853245275,44.12549680607207,38.7048093421361,38.55005842287611,34.12823899623916,33.85589990668835,34.886966933743906,37.56523728374999,37.362035245124176,39.07070010607667,34.22454435585567,36.079955423285746,31.109835350802957,32.08183129394989,34.6184374327727,37.375492100508986,35.25697885374127,31.407775545937103,34.00021599956581,34.81649278780208,29.48377173935461,29.02646573675697,33.48871378359466,33.185532437750396,30.748916245724597,31.759437376369696,32.37256282359732],[26.417258590650018,25.988472169217665,27.063308382980612,21.59247949538517,23.70393575087641,20.2807936006642,18.7991192383021,20.793631839803176,16.358200493851605,14.779455022766092,14.733494362088727,18.61453739825157,18.641439978703765,14.088666972532904,17.828675951899402,20.806540254564485,19.681001353915295,22.37574844856767,23.72007123602924,27.596615180446122,30.034614073872945,34.517356359668206,34.38115704580995,34.25649731075852,31.970469032196625,27.605703632224564,27.318516101827644,23.70708161129007,24.207880638352027,24.73368881363528,24.688959853595527,26.742135080885443,29.051226643118095,31.848506380041005,30.831229420923815,28.850528495127048,29.922172280748686,30.100304464061587,30.90393971914887,37.3815206670699,33.75627662590565,32.583033419249716,37.01072995502735,37.36604172295598,38.99349034845344,39.64702259002177,43.49496224365095,41.89441393313154,39.61300376089052,44.56617934244646,46.27113411805575,46.67943975906342,47.214930937455506,41.82794324848434,45.79002126390862,46.65860604582859,42.135877517140884,41.56277001019835,45.77695537160719,45.20840122617333,40.952212386723374,41.17735457654873,39.02216930600833,39.60792457972437,37.85828270388704,34.8392608501681,30.41380596502033,27.609493466525873,23.765318619110126,21.126563498336488,19.512985297776897,20.446583079051585,23.23997399581555,27.31139561982378,27.60741149339691,33.557307432790246,34.029778345340674,36.87971407156369,37.08491081810736,39.19879710127817,38.469492122573385,39.28544331671044,38.232434429942636,39.90122368419881,36.94760618691055,34.18580592649959,34.25035961028352,34.91645757255688,32.70751710338713,34.939027358742656,31.325142808537578,32.74149957898432,29.47162539689311,28.204161346823124,23.95985353098896,23.15197120572295,19.28506193647934,24.367340197707563,23.524800625196495,26.973132733774655,28.41594538139288,30.448475071293878,31.39864783026822,32.13792060307034,36.036771773854255,32.96213441519225,36.9748210494197,37.25335262189701,34.34637493772466,32.842495615885674,28.518334621932,26.459251959938552,21.96001501712398,21.376617922968215,18.0606270179101,18.25864364482576,19.263325263773453,20.141341501101486,21.285844482964254,19.463664300955774,16.234485850885232,14.381404214596088,14.543829583151071,15.00700680312038,15.757423082599628,20.621447203628854,22.936470268904387,25.997584483750845,29.623952206722898,32.954332777484424,34.35322457303651,38.501133732093585,38.28527478210726,37.89161672203894,34.19481839456906,29.763797299222038,29.638228934427474,26.194177078267042,23.345400066327674,24.378270171526157,24.75895381900595,28.371278508908095,25.239429901047767,24.518420632868537,27.44151671085925,25.342032279561682,23.31379695479232,22.898180584762795,24.48120352515008,21.843232236673405,25.27603490023786,23.28492492150004,28.27040526180037,26.793589260029663,25.40376999547408,26.868982440215476,24.398954576982668,27.179454629218,25.941139646291997,28.49017972108675,28.112495901581234,28.30039899156733,27.485425228032636,31.445866295493467,33.5145193568744,32.12111435296054,35.574363394385266,37.62141737971218,36.189891788502,32.09170214201932,32.542914012209835,29.60562883823954,32.35938590123574,32.792400131734546,32.70970937403101,33.72647727450214,30.596049218849572,36.17689969760118,35.99663583584965,37.934864177697285,36.729642016018076,34.74601266463113,39.52952779480634,41.92858077836471,38.83139214331168,40.261546815121235,37.849182836350195,42.805782627816725,39.40548295616243,42.64070541299809,43.11070429094384,41.17854751728958,41.621831867424774,40.402706977660095,41.52784917519078,42.7961409741868,38.50906912140854,40.458494525004305,38.91546383358714,36.76521734842898,40.48680694621476,38.25949705094061,34.52816687425997,36.98935916525904,39.41349266815321,34.967846008733794,33.30403648028385,37.587711811897925,38.31694435007494,32.86530312318401,34.69475210177301,37.49192125657242,33.945131911158384,31.96485064725649,36.41615284005431,36.88543140585419,41.11377013157392,42.07998185077903,41.65989250278801,44.65347606124178,49.06226505982391,52.00141196941022,54.02371696274957,54.31786368890804,52.04669830760217,53.61723289269723,50.27510122931508,54.35112031304161,54.288939133825444,48.06257662475697,49.76562029680768,53.676543660286086,50.20850372965761,47.22654482536755,49.71814755613373,50.910298568944036,47.03836011401025,44.5599465595236,42.25562938031214,42.607341136741475,45.845087254879154,45.40820269390361,46.210901615497235,48.77139436746027,45.002308972709564,42.351554098499584,44.90694374995665,43.960523450319926,39.28641635251199,39.888787347502806,41.381845728230736,38.82842489013487,37.170378539271816,42.133668247550425,41.735828148238014,37.50465586034546,40.24628047933163,44.23053376603308,43.82865141852277,46.22387331431384,44.74377047759175,48.76053318338907,48.13646925256693,42.727665442615496,45.8674893484831,48.17160179550776,45.29078618320611,43.39341449833536,49.38306769832491,48.94659156225128,43.664690812999716,45.31575758418224,50.37694116080257,48.7708887227812,44.906173088576125,40.327678266312176,44.34053740303465,40.20885277465085,41.55364919968408,36.108718157441245,35.693282835503354,31.07343882493605,31.209496452988624,32.39146424652437,35.33729377847246,35.14502824425426,36.52293542870372,31.61740316297876,33.51024680156112,28.491019068246832,28.962725933687235,31.367340358557048,33.9155902673383,31.730316587126126,27.958640263495056,30.367278548380828,30.972311046351983,25.720015432316206,25.278489860794153,29.548123569808045,29.110534558949823,26.68002528955562,27.740787695946782,28.414903508073095],[25.224064259886365,24.764974497454766,26.091851623776165,20.260847872018953,23.051837882924847,20.37950615821892,19.582922451336614,22.349274448894302,18.389485331725428,17.28610335055368,17.9931018073953,21.892558854917944,21.64506014586033,17.333328776459055,21.57811140395402,24.323051712107635,22.708653117629332,25.6070426440143,26.561102085701854,30.40961819513469,32.72655644185204,37.10840155998369,36.77649914747724,36.258025969103,33.99992167697224,29.75894945800094,29.48522837566592,26.035991052821014,27.088780560820627,27.831850288512996,28.462836214089247,30.26813536988224,32.889769159235605,35.721925035309305,34.39619126349249,32.194396457425725,33.031907785110214,32.80232824978817,33.20176081044838,39.596371961647336,35.60396274282333,34.932902046809915,39.38899523617582,39.28943440644108,40.76712847782025,41.003042498942264,44.99169271912336,43.68115109094864,40.97720674879895,45.796227788732295,47.903927896152545,48.31836967232045,49.18722328771936,43.83069537211235,48.078629831994576,49.05515838551845,44.49855912036008,44.3298382498574,48.56386145681085,47.65404048034306,43.60967442592729,44.22204415184114,42.31406262462341,42.787567707491235,40.75505401232469,37.87011447105239,33.52670020887641,30.97470843122992,27.029560386252374,24.800753429763184,22.984170876151627,23.994764057320698,27.038604357469296,30.849434562371265,31.350174549886084,37.37854222078306,37.57574496624822,40.63638511575621,40.587910247820176,42.414363563097375,41.62346383406635,42.03473213971309,40.98399450063729,42.250386264966636,39.10912551409327,36.76095645926846,37.07580579700753,38.07869054679747,36.001244876656216,38.64690725210229,35.128750701827926,36.76011367422713,33.57152072606967,32.32276755560073,27.9797690036945,27.388667142238667,23.4053815940976,28.23270878158959,27.09872600616765,30.28778078269561,31.73815770662098,33.199486196951064,34.21446879830804,34.36321616137196,37.90976393457707,34.4510778685945,38.24280197684282,38.060558406074286,34.86456915811942,33.856866960024824,29.28799033524521,27.623106478727205,23.283814404813995,22.57861686475449,19.99031089890052,19.67055523861819,21.241400972196722,21.456683813669414,23.370355712928834,22.171032198295116,18.714765055430917,16.823398905454273,15.72815903594175,16.100528574386672,16.687152436352168,21.070280935756585,23.338381916721236,26.442221992087514,29.974096326659755,33.748705691769345,34.42370677822742,38.78962755873638,38.60628950713336,38.765679659688026,34.6464555944764,30.34214973973017,29.36126572668914,26.21501689202785,23.312542763529336,24.979094606535202,25.071579911926477,29.17532151091509,26.542884478520318,25.823740171895153,29.128178965324437,27.48079585574362,25.15951966634714,25.071113554201197,26.434437937394918,23.872125242464428,27.11398092892081,25.520411085273857,30.562882384608976,29.132544636918723,28.29595473498619,29.717905212331782,27.238439418357817,29.5766148878309,28.62592474571394,30.456563377297364,29.73388652090678,30.46153127881975,28.879857328612577,33.11351824027841,34.52985872469905,32.463255392417175,35.89013800835154,37.51399564936734,35.816006068858016,31.811953393251887,32.58500864912897,30.047630158637457,33.38588951128226,34.26165755668966,34.63880436097089,35.90208973003061,33.182813853529275,38.80245118967816,38.30254460718834,40.03888049909511,38.35072725537637,36.239836086475115,40.729429642886025,42.96068172075947,39.83884890297375,41.65932862780317,39.51590392989477,44.29702087329706,40.53814913550468,43.547439399493506,43.66558926174056,41.863224329281124,41.92211025271386,40.57761597746901,41.604405366126734,42.589161638702,38.16768518872074,40.17524836938131,38.35466764426082,36.63380287572334,40.13768354003392,38.26649592278223,34.399994342964156,36.282666239879646,38.89764395439886,34.565125573209194,32.20983774238459,36.53554020975006,37.73298356040339,31.948843221602925,33.36137034190598,36.3200344894954,33.03506768857496,30.43527157907658,34.71768698326235,35.08977618402001,39.51573165380332,40.07652829278624,40.08788613308714,43.22157986889295,47.69200336142601,50.6999359260982,52.78017471643125,53.470956484728,51.358336879603144,53.2041369360523,50.13173254301287,54.12005006598756,53.689225828188256,47.46993306163358,49.46925533232458,53.08873341445613,49.3492608353976,46.584940042516486,49.22586259804199,49.910210694236916,45.90310894626959,43.86599535676178,41.525499397282815,42.548505242528165,45.823920769732894,45.377406920849204,46.59519589984098,49.22585588335207,45.76192958533001,42.7312349054883,45.1409660511654,44.60776697831654,39.88376234858122,39.9736385360479,41.63198520620665,39.18634653942724,37.07863572312927,41.943024800865736,41.70182750462901,37.31072188095432,39.64672060203157,43.67117551995925,43.10442762326709,45.735632686639384,44.45833749012018,48.343548518019176,47.34942603759072,41.89621122660082,45.21512536559435,47.15650417148256,44.08884172485772,42.34357052118131,48.28529060079176,47.424561900406864,42.1064292911794,44.00516398171847,48.871454172517616,46.91370545624575,43.00451915074917,38.33337060571159,42.00914309778904,37.683135080869064,39.17523465396463,33.77725444328543,33.87616074937798,29.39375190736386,28.95788819898134,30.34197737476498,33.13780154374064,33.33644983619096,35.14815374934071,30.6410648179104,33.02545722616024,28.2238490173665,28.566089897379946,31.702773293312173,34.219342614001086,32.57713630546579,28.3524028024799,30.285136490780452,31.37690306615065,26.508225899899333,25.133214081419933,29.417505209449367,29.55019663015937,27.462644532790588,28.922769769240627,29.878136253390352],[22.885736682260188,22.991268400214928,24.697801518271596,19.743080838399116,23.02096683455885,19.093120237308398,18.699607626681907,20.83618350096561,16.633790369183128,16.5472738644295,16.779970128955565,20.11703364830085,21.151674763947117,17.193757690472033,21.165421620479165,24.033943447423948,23.35317870093614,26.566389430687707,28.394776269359227,32.003136935588955,34.72203202564447,39.11390490891097,39.156071106337556,38.98232023498483,36.497737491389344,32.18934109756688,31.522810919547233,27.711842281573283,28.051198272256947,28.038033216338075,28.413803883038575,29.70050897056699,31.99210779892427,35.28512125184972,34.27541429670853,32.649948290295164,33.16908037572815,33.87678184544337,34.58294226142243,41.01131386031818,37.63642969526236,36.819863656056015,41.26416307149571,41.53498283181597,43.37058399113246,43.895281224497694,47.80091385741016,46.08820538634973,43.52846829584453,48.46457033819964,50.19705899934957,50.42691634267562,51.06744468552544,45.56471552384798,49.43726703803711,50.683852901902696,46.2492171180834,45.6038982171918,49.937751984026626,49.524302957399776,45.43844767060481,45.71418026763622,43.44591087914153,44.3385168870155,42.57117953705555,39.33374618408464,35.18837698390588,32.15557894818505,28.59602271019182,25.714142406272472,24.385010509125763,25.398043008901347,27.9381210992874,32.15755877448764,32.07013644409166,38.01106134180303,38.40755435427254,41.01084966102044,41.14720079621131,43.27315545420498,42.12674244744176,42.845082079821786,41.29305807869332,42.92309175892036,40.14277637298967,37.48209959084,38.0242766014012,38.352184961347916,36.69743713228293,38.69723481164005,35.31876586209194,36.81951779805549,33.31759462784624,31.62907909777633,27.274250368794966,26.276253253210033,22.307882415283466,26.902937380562534,25.498293779212354,28.033294965403336,30.419698011101442,31.68570017891538,33.43815641186063,33.4952879202519,37.63152986895547,34.10135511336883,37.75218714118132,37.93400963487935,34.57177387194967,33.21477055737333,28.682387975619825,27.522265350816472,22.945664366566195,23.151721754128012,20.676969888085438,21.253243779287672,22.973298842137215,24.034190161030644,25.91267333139533,23.871648080885674,20.67195162926895,18.29688006565581,17.98876851493319,17.588161348828045,17.240379619336053,22.053148867933878,23.18354447740603,26.819591938307358,30.219203110974004,34.01949594691008,35.05596876003108,39.23966400208308,39.55546546274124,39.31992991632553,35.723844441516384,31.38527281538673,30.628113909568764,27.87742062245783,25.458749156916564,27.070954256885074,28.013588782551576,32.08435811522207,29.14793419647167,28.00570375319213,31.058738398544108,28.793462143368934,26.444562752996433,25.542836047380508,26.457965371147065,23.24800374756957,25.948033058061842,23.592612737578325,28.323765835427256,26.096323053736565,25.58868728201188,27.633994461967113,25.73957990133226,28.312520073832516,27.950952807948063,30.090910659032154,30.308838071506297,31.235836400873005,30.40125405519313,34.58267859976731,36.369723494481015,34.83293471126559,37.90327307450908,39.910328419448064,37.97397303614978,34.047011996480116,34.4028382801551,31.810715574407713,34.787469420416315,35.25878077512822,35.31116471788478,36.02675697673036,33.18335328168889,38.63801823304866,38.77032599485362,40.364536399334376,39.296879127332524,36.64495096387342,41.52064510243228,44.0610656195755,41.15431172470156,43.178261173730284,41.16330555239826,46.12951655951692,42.89565764265233,45.73244340318532,45.9269789050559,43.78637400291518,43.75135399710726,42.16182709402416,42.937365581592076,43.76963392472395,39.21394944956391,40.79414791475167,38.71740500455048,36.57192133043557,39.775667901833884,37.466299969871166,33.81967158367948,35.86330575723931,37.986343301039454,33.41179437526401,31.65321621659406,35.65219826606464,36.1711810350731,30.514994571497976,32.129144981328785,34.69145678809086,31.025804912024437,28.85319514997011,33.17056381849249,33.98937352674174,38.03769667544277,39.54576023463177,39.302177155952265,42.08783038955931,46.78125068400103,49.42372698606105,51.85733628620215,52.35755549341797,50.425690867560235,52.278094915027616,49.2497992109746,53.50893022610027,53.14369192330956,47.038519766305946,49.146512765959876,53.03553540188152,49.399120478504415,46.70784287344694,49.5745467838401,50.461690551538574,46.42587968697592,44.61137822308695,41.764130654655425,42.574864006525665,45.60365255375213,44.67693455176509,45.67194725162471,47.87635875744629,44.43812278012007,41.687732490011314,43.640430289338646,42.79527978303438,38.270085603100924,38.409482839913146,39.55677508646442,36.90168799875367,35.08610267316956,39.870817176611446,39.229245485804356,34.76290885338476,37.483756378635185,41.473079591328286,41.29002959739184,44.02344724490616,42.97983188884794,47.05350709941051,45.97232750866035,40.73868072638243,44.327256482620314,46.34730591918984,43.31267314562363,41.94165707407708,47.945173268681884,47.14414260512613,42.0167679169236,44.18128169601142,49.03424236306879,47.1277510995742,43.35530016328506,38.64253141832399,42.579921341873565,38.28835046696057,39.17464588142534,33.788955064703856,33.548016063205395,28.75170758796521,28.950509266904596,30.634667064160194,33.80040656177523,34.05490425143913,35.36612401184106,30.805160163652413,33.15833240037342,28.314966492089475,27.873775504924506,30.613040507413753,32.72703672571724,30.82168456241071,26.93172803911948,28.538394782366687,29.057020951868466,24.351378117770796,23.17025237220738,26.883368762057156,26.55583023781748,24.420783929792357,25.84593732374541,26.801244727581693],[20.354414437311107,20.25035308409357,22.170685766465983,16.81289369336613,20.902203373271597,18.209238000047364,18.736688376438796,21.875386000154894,18.586352930123166,18.951677210119165,20.22747199797611,23.598269129815545,24.009973569567975,20.460429704225376,25.0924653955444,27.565526266357725,26.21163214353117,29.75538345999527,31.23613748647125,34.666709823048365,37.35062075418905,41.54594835850487,41.46260553851483,40.818127250664304,38.25310348266039,34.149829556831136,33.330929779690145,29.691821917432126,30.680802811581888,30.901525596485563,32.34060797852862,33.19283387978106,36.003123619983704,39.343633216888406,37.80877711467512,35.88779712721721,35.99415342036927,36.2004258632754,36.35535205176747,42.609881803779345,38.89290516861352,38.8068022286757,43.26234948273585,42.95508460778401,44.70822263028684,44.720690221222746,48.77423187639991,47.32995687031277,44.20407996739527,48.949567649758094,51.123929126684175,51.295763884833406,52.36618517406668,46.89803917261868,51.0842973216854,52.575664901504325,48.14769495952583,48.013143217659675,52.40122053231571,51.599184642631755,47.87765374967763,48.70933918481777,46.76030994827223,47.6476526308049,45.45903441163777,42.29741615582092,38.430925587730286,35.640385806304145,32.09694700281087,29.700440251542588,28.226690267004646,29.583774086068104,32.278850714716725,36.14250995321645,36.134711768964465,42.247265084117394,42.101816074531996,44.97744078376444,44.66200229169248,46.34000063154205,45.01202040555946,45.12627416354162,43.51725301294458,44.57016860129872,41.58787923721514,39.51775783430063,40.48310704699297,41.236919667398396,39.880502620725196,42.49112955698077,39.3308289500733,41.27779806979651,37.87507566743434,36.17214439939435,31.629969800030217,31.10263366304975,26.917764655611506,31.051713106831457,29.24735226923248,31.499789606225598,33.65258746851429,34.07860475911203,35.81800449530996,35.03106972288192,38.588730066770395,34.57793225863621,37.872342610155,37.42197524693981,33.725186579156656,33.07037407161591,28.303049553543154,27.694740548336824,23.479135230540805,23.539348030522746,22.121179409609685,22.122563076303745,24.56778373883344,24.9658597991593,27.9033512200088,26.476507928021203,23.081421181274337,20.584230300099502,18.888884593708795,18.218019484695287,17.567586055968654,21.534697717748152,22.47203713240027,26.063665466582005,29.242823888933657,33.562791871676765,33.63804122952135,38.03419501097971,38.43334117406475,38.90721296445771,34.85025564035737,30.759233075257747,28.917164314324427,26.70268787708304,24.410157547596913,26.791309429187347,27.615323750974184,32.25391497425808,29.948278439558266,28.680209592812464,32.13245337300665,30.396391039569032,27.68075780994346,27.151782729499022,27.728069922034674,24.730031313882062,27.13730606787304,25.530603736289695,30.28323146690299,28.447116345085913,28.62667387008806,30.365649572100484,28.377261458153896,30.228892823939947,30.22228949174652,31.301862780337242,31.066793804668485,32.7482649582776,30.979534498156873,35.460808359609494,36.39372117808726,34.108296848493,36.99148762101148,38.507215862658995,36.181551594187596,32.46962528678088,33.13856069328757,31.119569938665848,34.758955254453994,35.76819077253649,36.42463870840022,37.44036318534602,35.21994968852014,40.66719566443037,40.36477988042325,41.63849593644425,39.958467033343325,37.10766880734081,41.548453756954174,43.86872499674468,40.99396000198106,43.58114228916047,42.003143018625856,46.71593958125866,43.15471139637025,45.584553284603075,45.30918070670048,43.27739136541161,42.697075778951444,40.90759808587777,41.50018163448301,41.92833391156445,37.236254739526245,38.83029583809166,36.404347311410035,34.8341990328322,37.71809155144301,35.92235878606699,32.138588923925475,33.39640997555189,35.7713666883705,31.427584294394485,28.757004965731895,32.78648219369266,33.983039930455504,27.959566460048553,29.003375101834557,31.813079852915113,28.59950967155402,25.59964150555347,29.675902331058232,30.280979723996108,34.60828660225797,35.489743274945916,35.769134909094866,38.752666888427406,43.45762702729311,46.234689942435416,48.65951726606653,49.65153494637054,47.89735983129633,50.07829021373649,47.403846707286114,51.502629370521895,50.673359095263734,44.608107236668125,47.07007791401688,50.558669838230465,46.60589638493893,44.20620537656326,47.24584958731094,47.49714497995793,43.3227796255699,42.08868683650179,39.19671799817218,40.858281610518446,43.90727092563636,42.99714241969215,44.5416790071928,46.867059663548986,43.8604058846006,40.603678676683494,42.40507573364785,42.16374134987075,37.59095168388871,37.047967762684365,38.49897328751704,36.069271299801684,33.62566455349498,38.248010670781625,37.92311440105595,33.3360993585557,35.4050354790008,39.41779709898489,38.93489158084348,41.91094338916097,41.08290082607383,44.92963363455696,43.417232209152715,38.131944176903545,41.878877420088024,43.43277509467964,40.18960610856728,38.98178214602206,44.88135110396336,43.57810300939147,38.42791661782621,40.87089491610584,45.46244875995083,43.15496312040604,39.35068792863361,34.559536316267206,38.10052061774799,33.616916791683735,34.66488824670167,29.355069304782255,29.726655920410558,25.16748494777607,24.64534568912774,26.55582960291433,29.529005761254496,30.254078064475163,32.05818314182591,28.066341375734314,31.01559371127218,26.55559988759697,25.959352600020157,29.641472772271918,31.72330819053832,30.62694206912732,26.1648665067222,27.151245017375423,28.43216412270076,24.3346956013656,21.88794796383242,25.66869034310062,26.260338338774798,24.67475555446154,26.62145149454433,27.953938160188823],[15.068250754745947,15.537270725206595,18.053743382536908,13.943115037924978,18.9721641089727,15.638599475464085,17.355946976793746,20.266437647872685,17.69716231566627,19.49387632740693,20.978377469173275,23.56785283588685,24.81380653419214,22.14959932237439,26.770554136716626,28.95533912368161,28.154665890000352,32.194072817844315,34.405365287967776,37.35544023573086,40.47620574109887,44.487786835364595,44.800306246354275,44.26607866339585,41.36533634633413,37.36953580341729,35.967048101728274,32.08600592272423,32.6807624487477,32.209680397973564,34.175441549729676,34.06856639463207,36.88314625648474,40.70800354939245,39.11313913494897,37.65255855651988,37.06738395026249,37.98873309358717,38.115338399853414,44.189337834607535,41.059178078236236,41.29907560860917,45.69443507702286,45.45318312503614,47.60110059958845,47.6513278114992,51.65972316358572,49.87213703663826,46.58690288818145,51.31582276240157,53.264871070649,53.15923995550925,54.220501406016936,48.642256269577814,52.53678820926267,54.5315521177613,50.30367550095618,49.94828611718329,54.46447094991264,54.01310294459027,50.54044782574595,51.37796612096521,49.254188280459516,50.671688141277166,48.48504561541603,44.962013577339455,41.619550253322025,38.468024656047376,35.461572551244565,32.743140788576646,31.748965438446714,33.437802032739675,35.601365125568634,39.57878133103361,38.908072817138844,45.00005911745017,44.59894893974198,47.12620974367325,46.64279386884312,48.295892679950136,46.40892632088083,46.428163440480034,44.201653344235396,45.25261029664384,42.60940517159468,40.61714560685334,42.14966873695589,42.41731613700628,41.815488891005,44.13411030564901,41.376200827966535,43.55742183035531,39.93646456332384,37.754515015069884,33.13683377197745,32.63389937434721,28.400915269240443,31.725760956287942,29.354098221347993,30.599250626330974,33.48107043459587,33.006206143038135,35.51401892879063,34.00863495671768,37.75598364062674,33.41885262692957,36.22800097055514,35.807889629824444,31.774100741860657,31.174848189897805,26.436260918019464,26.84525613009517,22.79267831910219,23.836507604427595,23.320370687954806,23.9677484970836,26.92263068352988,27.881918348561335,31.374738484377435,29.411618800287457,26.263344327124166,23.2608443894486,21.673361355623207,20.057641469769116,18.230136577193434,21.872906485113212,21.209565878730547,25.26155518621321,28.00973885301661,32.56241211748703,32.49620016564412,36.69070629465796,37.75981328059247,38.163676822230144,34.56580858558173,30.693050276273944,28.5631050436452,27.242513620492396,25.729092560483785,28.367326258229316,30.158247968778582,34.96147348305189,32.69460537045303,30.864338498904868,34.17576851381615,32.09176148768731,29.183086942394695,27.98243993889579,27.782393882702006,24.32457784614011,25.773064223815854,23.95536402430007,28.184263449630727,25.89976640465339,26.998658669768854,29.063353447643607,27.708626721355845,29.18488724176863,30.113646884899172,30.73198575335602,31.30434372191875,33.68560401410686,32.24075447592141,36.7422700283108,37.573685549139476,35.5710352986303,37.826652522218765,39.54005025550961,36.74047128725512,33.335134082888594,33.61393218670099,31.907223870746375,35.39582160730485,36.22697227392861,36.87923676104928,37.4292797977826,35.562994184179416,40.6968615043461,40.83100843033955,41.68716294699346,40.37021963330227,36.78673906752041,41.32940189574649,43.85611858128558,41.31707560229182,44.47453022226997,43.36578961040443,48.08503208467179,45.032752744292225,46.95616249809136,46.49969390923654,44.12311442895644,43.110001264943946,40.920655990119215,41.07583367436816,41.07543163108345,36.22186815875875,37.244952990505915,34.34432472666965,32.59508496972286,34.86344197584314,32.86156486787365,29.34090739552782,30.31366609971885,32.18040177972603,27.744702921196883,25.358171072939847,28.91843700429591,29.6537387009709,23.653320315419702,24.628066227254326,27.06622721419072,23.679393452344428,20.785136458410783,24.778010179155736,25.802396880067686,29.78459718444063,31.513506654733252,31.676246133554823,34.31640062528468,39.24971244451113,41.67252310815134,44.46388806271256,45.45358711478024,43.99833112390707,46.33997737623988,43.92910408193605,48.22474363036961,47.23478469782923,41.37758679587081,44.13669255022982,47.70746141071543,43.75823164285336,41.622886208639095,45.00038822128707,45.183200210121484,40.95436819562842,40.310071446310936,36.79275389584046,38.633591611057696,41.347430526202785,39.8762458947275,41.46639538086269,43.347117068251386,40.672757800254665,37.462950811922674,38.61752914887364,38.40493926977233,34.085013505223195,33.16958447409688,34.21547175445497,31.726568088550675,29.23683890917492,33.63012435966706,33.07093864221143,28.36928617742172,30.457560108955043,34.42677292456638,34.19519865035359,37.38916525113687,36.945095659601265,40.851412022077604,39.03046529141963,34.00843393697704,38.119349337842685,39.520743406108,36.24559750590694,35.57831393885405,41.44455076373126,40.0055134298859,35.13018668767018,37.99854490186924,42.41025232943012,40.03446774486098,36.43281235288675,31.62952296665702,35.329092223006555,30.912255537830205,31.214201813250597,26.019685052359723,26.159254303672242,21.385205436611784,21.433648352240976,23.783599241432096,27.108441285568173,28.070886615486838,29.386479559167096,25.720223075008338,28.878892249208167,24.737010418446204,23.043220111549555,26.730014433864152,28.24955945773823,27.42901684872566,23.09138301671604,23.209883684402907,24.313808467697008,20.990616408414557,17.902078271604502,20.94265965747099,21.684038540724238,20.512702060170593,22.78903804210324,24.42003522999236],[16.474834472729604,17.820066118085272,20.6172321024315,17.665739104508692,22.479796606201166,17.865199661521523,19.417209950284153,21.30578363166918,18.233997455755762,20.43582070172884,21.060659770752245,23.14332868503503,25.511782599433193,22.848000482363847,26.84174318317065,29.290078838542048,29.307164908748387,33.20639501914768,35.857989723660296,38.875674465444,42.10260556973373,46.252277930027056,46.71505597734437,46.55097403548395,43.67249381072845,39.522991760624315,38.149775557993706,34.07676798669148,34.05309294721922,33.14160484259412,34.29085552836515,34.20321509817856,36.45990357187608,40.46909795736863,39.40418935841823,38.411745857298015,37.94653464831454,39.56667790094417,40.13482745520591,46.31140245412237,43.580816562852036,43.33339310413433,47.71654424800923,47.93206701103453,50.208032858351345,50.62323231320487,54.53558584101622,52.502664836121404,49.58271733246525,54.456015623940324,56.05823273965134,55.93079272967313,56.668105222382415,51.02531599059409,54.59144058775451,56.53519987368429,52.34753474079427,51.50877336447193,56.0174006214941,55.975852414157025,52.25379869164157,52.60945761293812,50.15199523312248,51.68479728502888,49.88056003524657,46.22349486079821,42.72770988670518,39.29824752064427,36.37240961986271,33.161649744550665,32.37810893834497,33.726999265699945,35.68551312463052,40.02183329919146,39.16149774633035,45.04207385753247,45.1392653934429,47.28102983769398,47.20313587786069,49.27532708975234,47.36607951452182,47.895041632264295,45.47678961565013,47.03011029459314,44.673769323676595,42.21443397343321,43.58029942621548,43.28794328776802,42.68208074038236,44.2926234283927,41.461546503764346,43.22443826263817,39.426642307459275,37.06722682811221,32.65055953322778,31.591524179117577,27.626541902723975,31.024923217544295,28.75213754479431,29.587926142565873,33.29703183787517,33.132012550010714,36.142988393507714,35.032435417846905,39.42115046449721,35.31463284557417,38.16691013591457,38.27787441290786,34.32457615940469,33.18535210645427,28.650668322051136,29.120099209087485,24.819979499941656,26.378228939855653,25.347819860319326,26.585924548116772,29.161721437246545,30.665220558424082,33.503370093969025,31.011085235318113,28.035801267803258,25.027160621838426,24.38107761831811,22.77683296977168,20.8511977452738,25.05547932142583,23.9683674532557,28.260820099791797,31.002713697765028,35.28127032712184,35.84440866635163,39.807384314865,41.10046124235875,40.972964150274706,37.87404097432668,33.892865953226476,32.37573335883268,30.95525685796729,29.507606761072445,31.745919634705924,33.75790500624368,38.27501318844072,35.58851905505114,33.74736792694656,36.77545239955824,34.20302610704046,31.503441497147207,29.792342294811704,29.561889465472944,25.681507117423937,26.876652177104614,24.130673918846576,27.964027405642113,24.689020393202423,25.839091651355528,28.609577615663813,27.813064573061364,29.800955459448367,30.934353930698034,32.28653761448173,33.59166860094651,35.63949685128668,34.997639209262,39.30855142721706,40.726481268278974,39.263286664771094,41.50824042522669,43.57082055320455,40.87850464263272,37.402129099931415,37.40536862052756,35.406279926346414,38.42328137421622,38.80677420015669,38.98914319926681,39.09812318499788,36.84055399712561,41.84705266948728,42.5596423334471,43.51142081644782,42.83058548419887,39.10154995188066,44.03283553144285,46.80675941520272,44.35742268546359,47.301924258433075,46.0058399911784,50.922663963679824,48.21388066180407,50.3056964545422,50.11294176786317,47.567883612290316,46.78469794450762,44.59521698875667,44.720323992825605,44.817956458238335,39.98537572026172,40.76333097676336,37.86942049741241,35.65163041638554,37.7874037910738,35.28785091788873,32.0507967070143,33.399533875008984,34.740036078444426,30.097437856805936,28.56848197717048,31.739363965271785,31.606199888374785,25.973782250178342,27.250449027235774,29.1220073621339,25.266744107373295,23.120837885954856,27.032431321145935,28.597409985444855,32.007315468089914,34.7996395712952,34.65614254658796,36.85611514435158,41.94723676701518,43.929124827726206,47.068045739665976,47.77021133541863,46.4651236324299,48.70602919704257,46.25351030211745,50.7911633777117,49.99973368369039,44.28407197952042,46.991882670539255,50.861879940773896,47.11832074334834,44.969201046458096,48.412926310384016,48.93007557710078,44.761835798835136,44.08001496017275,40.294074921268,41.66944560239879,44.17551219331594,42.34194089267196,43.53809317302897,44.983687771328256,42.202166672687895,39.458373368369195,40.233480180562836,39.51366898652073,35.45745239395722,34.83249982829665,35.226930442600185,32.4625801865965,30.528493853755343,34.800338777394984,33.675387252003674,28.955455954431564,31.64961487287397,35.51414378912639,35.81557596618909,39.03862382844053,38.79806403580358,42.90712250686255,41.11685698492326,36.40452773504737,40.67610733259525,42.24280924860465,39.08711381150803,38.72844798261804,44.59189987801317,43.323242121015454,38.685644235188555,41.65531890241675,46.060085945451725,43.82351542575517,40.38395816287072,35.64573425601386,39.51536842446957,35.21892083488468,35.02079692771847,29.96944541013802,29.746840981999846,24.804583703964212,25.511221608839207,27.97677376565446,31.495284227887513,32.374645293015725,33.21205692221172,29.40929183161302,32.2738165543722,28.029543886907554,25.889174945744838,28.80922233185348,29.946232453703043,28.58889914794362,24.884787422392428,24.88888998053318,25.071896707217093,21.819584051664986,19.482415212469352,21.651188990160456,21.482773755804196,20.119363495568297,22.12671156336198,23.580969330609545],[10.595750532545933,12.306100915331227,15.45307010126867,13.891643362497971,19.106901697365515,14.64745678465405,17.325344219420842,19.27058940247798,17.483163080495004,20.6666057531014,21.955575698669463,23.447499768065143,25.806950902987694,24.118513826685902,28.30887846437027,30.211314516768027,30.240592104008545,34.57508605573404,37.58494259757746,40.0475883631458,43.58062903326331,47.41604968970205,48.174639745614705,47.90973034697244,44.7236814915697,40.820242771720054,38.902640297827205,34.79841232060188,34.76421164483126,33.48345478950552,35.63309605436528,34.59182180604633,37.16306788918248,41.44455400988159,39.98935132409055,39.17026440984413,37.96776883265356,39.83003188338028,40.11088397285018,45.954088218051865,43.61508770356537,43.94534805759505,48.21727541378114,48.24582626605084,50.811656625785915,51.07628751425989,54.95414666068605,52.72857490932873,49.50724143574672,54.244462067279,55.77812114467162,55.397749545880814,56.28132882774657,50.62823053583021,54.045543750572705,56.4853320634548,52.51249017692558,51.74042103935441,56.335427243818906,56.408094852826416,53.10849623884973,53.75632109548347,51.35982906871479,53.33546514773917,51.3094491517815,47.41834626761714,44.579680270821996,41.028537507213294,38.62351406707596,35.498065926151746,35.048768001341884,36.93384239170488,38.476250069625294,42.60144517938106,41.22618311027186,47.14167048749019,46.64279514593155,48.66373259138547,48.15067821979677,49.90513541184175,47.48523263160901,47.61055628734402,44.73816798215892,45.98285835150445,43.83716805019154,41.751883150297814,43.73834366126407,43.31236694063802,43.45889932167034,45.21104542508276,42.8775767296024,45.13624484922799,41.31070649340578,38.64615477398356,34.12679336044629,33.52195453568529,29.456200915556636,31.86736693330766,29.03639627684111,29.07340424017927,32.86875993148367,31.599909750268353,35.00237972961029,32.98156814459803,37.1095629437773,32.67223033703862,34.963503032308736,34.86546916771252,30.661312165189923,29.834133643525192,25.399758417884218,26.814880768969694,23.00458525545756,25.169002424728145,25.27100747132331,26.724516687437198,29.85139604473212,31.52445097023269,35.15526700214777,32.53793602386282,29.765880129230677,26.42249945121388,25.378353043478047,23.057544224133927,20.302695134304795,23.68500361050271,21.344478601561494,25.73847657473504,27.960845667054492,32.422341013814425,32.60076616748794,36.35865248871036,38.15606942507072,38.17584532758419,35.375900496245684,31.75399700277132,29.81458627126712,29.28141963134744,28.55837689794967,31.099556587042652,33.828439587710726,38.522513602257774,36.12271003522135,33.815935894358375,36.78212586382466,34.204880792776336,31.296662104571514,29.29079652053611,28.34799565883238,24.422897451686772,24.73019328128216,22.407535728441264,25.741797956476972,22.723001578384828,24.797711012650122,27.3474216419604,26.896699604412323,28.121919102197474,30.034534758670553,30.482713493233103,32.15176555554959,34.97337556829919,34.24593521463445,38.56336601343298,39.58124461893738,38.188015642445954,39.81312387970006,41.89583525149283,38.796700337770005,35.70026196773545,35.43981650800266,33.88599669542655,36.88026745573865,37.29253167692576,37.69881005040659,37.588884207006224,35.94354932559823,40.606181967032725,41.40724472238639,41.88719433679941,41.2438849812996,36.96744821914057,41.71264184177237,44.52335606144546,42.39115197215568,45.918342258431366,45.17732312094281,49.93225544428541,47.584553765380605,49.09506059953441,48.62806127526382,45.86490909078965,44.60637855178408,42.08891500204098,41.82455407004093,41.50578393931947,36.62292702273937,36.946274038453126,33.70054560280597,31.50778103342747,33.08749071494416,30.611162858437204,27.604211667143893,28.5644099361462,29.57040876991137,25.00586608302025,23.596835828023714,26.362823792004495,26.044542300922465,20.46940786207706,21.645466328864217,23.2976813459998,19.44574755477726,17.379907286779428,21.23181618103777,22.973483501705363,26.16473705118258,29.38918492219652,29.10001520699234,31.09684693627196,36.24673160729007,38.082032103722106,41.33951300637361,42.065578168221855,40.934806315522216,43.30027578925245,41.08997840469457,45.66895947705298,44.70528846470714,39.17434262424895,42.10352030694003,45.91942702420485,42.1780346317101,40.26858744756705,43.92870647571547,44.31876024335171,40.15935275677945,39.970483437334266,35.78734981508598,37.41400785114722,39.651634594395894,37.47666051492022,38.84158004007595,40.05329912465573,37.649476258742766,34.791334407089934,35.12655268756006,34.65773870762657,30.77506386002353,29.697515606867015,29.985844177752956,27.318756129542827,25.141014193604374,29.21819754151014,28.138150371349504,23.36494844635215,25.8435145763089,29.692938723800783,30.001481400099127,33.33814180454124,33.32639584752506,37.38116114594971,35.38308728652729,30.831502166040607,35.282998035827326,36.69655484893988,33.54425579622784,33.52236666327757,39.28558909613955,37.949186782149745,33.54339348578831,36.7429447710959,40.972528600780365,38.7536869696522,35.500929176823256,30.86136132004122,34.84524377820198,30.751492977953006,30.02978804290146,25.155993273620524,24.646324266128776,19.704198756281787,20.931797267442562,23.554364164631195,27.231322746555122,28.198015423568673,28.62185889595016,25.22602414898744,28.227543608992683,24.470472188263052,21.5254615592887,24.576277295822386,25.273932344707827,24.459781334597892,20.756113743834526,19.91572220497744,20.26994926016282,17.95971526474316,14.747910849168486,16.323751384469304,16.729399575055275,16.000455369203298,18.479122922524567,20.344807460493016],[14.059811888672535,16.286407159296076,19.706355457472878,18.290191277270328,23.690357459573878,19.34525110333268,21.874785601554585,23.669769963055003,21.481710107215203,24.445393270604825,25.318716484759303,26.866215977360177,29.54308578873571,27.452116883361832,31.446170337497946,33.64358537071199,33.81106787811747,37.94263091915436,40.80930688583969,43.56930446391329,46.95840531174278,50.9662130326301,51.567991218258896,51.33382229618198,48.310222584359956,44.27732236428555,42.63003729306914,38.53023005807187,38.46904941082881,37.267836025872235,38.84565825468391,38.16943449022433,40.44985080404786,44.70003115289309,43.54776562312444,42.77367752746186,41.8595624372575,43.74851485812212,44.16915343654097,50.146129574489514,47.655228766995684,47.75288242866431,52.082199947392496,52.18184201721229,54.60856830100037,54.89236664041022,58.80883003556452,56.699463771344014,53.55474287436436,58.33187941112886,59.942546772707445,59.652764038514505,60.500972023639854,54.84333741553229,58.30287068395056,60.5786093017005,56.523180209559015,55.68893911754209,60.25348418248474,60.31014780164503,56.81209235655508,57.285804210809346,54.81087824060768,56.593062512871306,54.71549683314044,50.92177649384716,47.72970307912065,44.207063715821086,41.51950630481471,38.2801272169993,37.65397792125063,39.14478567382337,40.93688329568015,45.253121915409345,44.13335208203096,49.98621532283529,49.89059993126176,51.8771132930033,51.64569250328254,53.61349161713923,51.370862550739446,51.717734850209055,48.93914613713181,50.34454802065559,48.17039150131354,45.92492811841574,47.68623468548879,47.206356179055625,47.08118094800493,48.61259699243866,46.05503837293721,47.9696941072759,44.100756743115724,41.50800708874163,37.10402990462646,36.1036059556315,32.18633837470734,35.004661470751515,32.38966176623466,32.42709762038059,36.56879799845901,35.62520013591613,39.13168141984637,37.36758532847623,41.669026637089864,37.30085994437382,39.61104995627323,39.56673319702546,35.353772137253976,34.49781285994378,30.095403076800622,31.44414099995424,27.52250561913477,29.565460694058853,29.29161405763011,30.648006862624708,33.56996415189565,35.108234658585964,38.39189562582866,35.857046766329525,32.95688614964797,29.780585276012133,28.860598288220142,26.877531124971018,24.44417024867239,28.06564606647449,26.00601335509077,30.387226776082,32.65762364095989,37.126854075956594,37.26220202723068,41.04618661749692,42.82320374255095,42.87951778469785,40.01089067298314,36.34454837068082,34.328425682652615,33.66481896668164,32.701536262429094,35.25238757125417,37.62610871134699,42.3341234561715,39.87542374810762,37.777952556798226,40.810301322433034,38.23882181686679,35.39895418143721,33.46894568560355,32.72262027557001,28.739065462546527,29.156153070529015,26.498589299785085,29.696825478625264,26.12648367142469,28.16578543765261,31.099513079929228,30.815033535833805,32.34462605778251,34.162389636523926,34.95222462851272,36.63096765822719,39.2314946244573,38.53420491600361,42.871403710128796,43.968337280174715,42.43789186449607,44.24376737413101,46.21138969180414,43.14689286120307,39.99327976804316,39.88734256193412,38.300538769491546,41.38000679633059,41.80701194789507,42.143590965460376,42.02939193379593,40.177608861815735,44.89383336421921,45.78335812619591,46.37583232109814,45.77944747500203,41.58843615577217,46.37664533318806,49.17932221465457,46.98948232859149,50.411533352706144,49.523010136999225,54.3254338375319,51.816714360589344,53.48873032255372,53.03990431637696,50.360392743434325,49.14171216521526,46.66328622384786,46.43234789499923,46.079827125758484,41.18113008697316,41.51889288021323,38.18280984356722,36.10174931466358,37.501170308816505,35.06664628826684,32.15181238482037,32.87852314956865,33.74564071878371,29.272905815301385,27.760313393381225,30.27032174644808,29.856944549570148,24.385711202972985,25.22615733568192,26.5794879873608,22.843214062193066,20.609931701786557,23.965425213363343,25.99748966433328,28.89839946557131,32.395433063304324,32.44988354220915,34.238775354198495,39.506661306218476,41.04200223676472,44.60673390762038,45.54259942967552,44.69456131937864,47.21333518658125,45.2260669554732,49.82452530707273,48.692084166490126,43.31592339755753,46.40416713041326,50.11758668561021,46.305594206522315,44.57351763266264,48.3202352607707,48.48776094833817,44.28927397167933,44.38136920490277,40.14121709187799,41.97395887027081,44.13630972420013,41.81913707660217,43.21922912636245,44.213800116132745,41.96301561178044,39.18491404912646,39.20301726455578,38.70321333874108,35.029673770344225,33.80956695847262,33.77573280730557,31.072687202520672,28.986376103077074,32.741234556797025,31.38330345707248,26.596100879376486,29.030075381217596,32.71564051937137,33.28306053054204,36.828222160912446,37.169607521141316,41.16706365311003,38.852453426510266,34.57622500184021,39.2245796610165,40.36839589409297,37.15119361502657,37.48582925046941,43.11660331320539,41.46532186161035,37.23188207876967,40.69295041096165,44.68183185244927,42.192613279795815,39.02424241851902,34.37445210089064,38.00696322398698,33.77713237921561,32.908414758979106,28.26770555148783,28.209856201683326,23.457079997001934,24.307258674155015,27.212365952178512,30.758438874862968,32.08446368789709,32.70932771480457,29.624015114998546,32.779415027891375,29.115508056608952,26.101420142448532,29.16645686506533,29.6670198428466,28.862361016450045,25.34894123928526,24.231039715965657,24.35015704350054,22.360658155001126,19.223710244828077,20.133227110945846,20.317973626277407,19.741470089522934,22.074207028374136,23.811516306987716],[10.859589200661192,13.373792723902888,17.11023578065223,16.881814365569834,22.61253080427746,19.35870982325908,22.709576132666225,24.857551581214214,23.723240719582808,27.036126466136828,28.52050149120215,29.89689111809762,32.18949506197091,30.618542017938832,34.90263245396904,36.72375057542589,36.600205138298485,40.98939092661644,43.8370087104006,46.28228676613334,49.76808244521041,53.535651809006474,54.216860449036794,53.74532369324099,50.56468693897417,46.75316876050446,44.820057391505166,40.82323819416184,41.02321813183073,39.792703232860944,42.203367641795964,40.9926161431317,43.61990808536315,47.95737817648747,46.409063387220485,45.57135802911982,44.1819489339345,45.92985038582693,45.98101348051027,51.66108947582621,49.23387739969281,49.90821376317601,54.15842054281997,53.91854598839264,56.43213989080058,56.42178706686232,60.357288349314445,58.283775378824735,54.76656506345604,59.35191567695823,61.113955259779615,60.66263128656034,61.77356560778006,56.17103816769122,59.670332032812034,62.2885921080293,58.36444887757486,57.79792388655103,62.40137526962226,62.333179413157104,59.21454099630598,60.06301033852482,57.76645397123612,59.733204172290726,57.58142053430929,53.73223652981465,50.94918062194684,47.48902349227687,45.01767772723415,42.01387715084562,41.449296554442846,43.2861357897135,44.993089844072436,49.085056730107794,47.801061907292,53.744150651841785,53.159003639102934,55.21749492908391,54.59587674806447,56.21277406659876,53.676114683065556,53.56049647514072,50.570970777722565,51.5464780132615,49.4091538698176,47.63241041307636,49.84385824838161,49.5032844894733,49.8320081682302,51.6960866717731,49.4478191699118,51.761839731042365,47.93750012002858,45.24184923211419,40.72972016484857,40.12555048591135,36.082066287642185,38.356506682177134,35.40933789109464,35.053680470019216,38.99464304872388,37.20715859533803,40.79799488449024,38.246288337862666,42.0423799542034,37.36665365776703,39.120269430802644,38.63207494649349,34.20400887603421,33.92983538178351,29.63625132686773,31.73335555671661,28.38352690324114,30.570407949003574,31.22677977276202,32.41714347216291,35.77544400104931,37.113007577404346,41.08173092587314,38.74760311392686,35.88090033371473,32.57832818356015,31.054422131620917,28.743166783576477,25.95122162131903,28.679182725281358,25.959388766449703,30.167222700017888,31.93165487017479,36.623279331996514,36.034080752782714,39.696730835607234,41.79575600906991,42.29313506592297,39.44073316697178,36.1983002981412,33.47705836375902,33.612548187119906,33.1322841382877,36.07873487505283,38.702055090070566,43.634345275643625,41.603030689752885,39.27566588092426,42.38842861165932,40.07392987730986,37.044367387907045,35.182902532190475,33.99786550929862,30.21972470227329,30.085971422967713,28.09512397354221,30.944974380017836,27.857510659051037,30.5319958464538,33.09996385549884,32.90267988504385,33.72110756337429,35.98666529410624,35.86133377592471,37.46933943110846,40.71210529974468,39.58760925883219,43.977259482548796,44.47913036865352,42.68015500599849,44.02261583711894,45.73008529920359,42.300764109649464,39.550978184578156,39.4442159331231,38.41246408541854,41.70735118428436,42.38369656054153,43.099569774172885,43.017889524164076,41.77126706685143,46.25057173636239,46.96795562558464,47.17062077947706,46.31843162407023,41.82292129732899,46.211845111833405,48.88266165329804,46.9209695650695,50.86978555651547,50.47640630998428,55.02701937602528,52.58477429390567,53.74489614535363,52.932279467548646,50.220472142759064,48.486986580523485,45.75927281149882,45.20137886638327,44.376842249322415,39.47493260509425,39.50032699267571,35.78792064198487,34.11444754140858,34.85533017211016,32.80546276526592,30.09317922843509,29.991580449726147,30.68106394476301,26.57766635720108,24.62927364119148,26.638404517494532,26.490434480970535,21.0477662412744,21.228744902348694,22.389543865242114,19.15613032654589,16.35498714838704,19.126279795020373,21.296612160058164,24.022156030725625,27.580228610713696,27.97805418306989,29.617620511477323,34.93505024731542,36.33110264326996,40.05458640423116,41.37174157556193,40.85145884888539,43.67255284263273,42.15231263779421,46.62956439434143,45.072580251949844,39.96824035135017,43.41488480222432,46.78879915357807,42.82936033005886,41.510536092104346,45.47203125555301,45.144144553112405,40.9279764987823,41.7705455088762,37.28027398443425,39.768817469689644,41.69659077181938,39.16080496338046,40.97573713807919,41.82192069362251,40.149304502672685,37.07655148336455,36.63055709272196,36.678721783851536,33.23119974655913,31.279159091565575,31.285682507176553,28.87606914856844,26.285099844589848,29.577694704923186,28.434345317904853,23.66448009504223,25.351128453019736,28.913743588246415,29.34640852668939,33.151926644789846,33.90122034674009,37.631027611755044,34.82321936848966,30.79397466907622,35.66103904427895,36.301150060528215,32.97830572119435,33.79747563822241,39.16180559611285,37.07787991424915,33.13610264905712,36.97760375679528,40.55076339773673,37.785229839622076,34.82477220799903,30.288139866910306,33.60858208889708,29.462904254608294,28.14556002475179,23.897718118628255,24.143185389856928,19.781629570014058,20.485261441563086,23.702279966203857,27.1227956294073,28.878004680840775,29.474566511784943,27.23862923202509,30.740663409672603,27.79436479297009,24.241682455350038,27.78318536169858,27.89721992435371,27.968479649793466,24.348279534331173,22.252436906363883,22.92121060361943,22.125853486988248,17.92553967672418,18.121651021348402,19.31947240006788,19.628253302383488,22.338962629595414,24.367261657952668],[6.155076276310193,9.176938193006364,12.973222062431002,14.52690466857865,19.86969861128017,16.855780998179622,20.70820653068756,22.60152230542563,22.468520782367982,26.259496380271866,28.05882230676612,28.93825668988091,31.177996343807504,30.380473061654822,34.60282027759946,35.98252503881716,35.96062922940599,40.55607557483428,43.71445695995695,45.670081455914705,49.3761760183491,52.85932579986818,53.81643147271665,53.36242416633353,49.96450840695642,46.38083321688983,44.034308594934785,40.053046395438024,40.12606205422538,38.58479064680568,41.628623922868194,39.72645511204675,42.510774162943825,46.97550189370222,45.18208358620052,44.53341869441989,42.61940635956212,44.60832575972305,44.51210261212848,49.85224706165163,47.86939228755083,48.88371650885548,52.97914472276294,52.70297956585321,55.460590937531116,55.43984054486013,59.26606360936308,56.978438939084064,53.37350085488779,57.83131645280386,59.40141796676253,58.76517853588169,59.89469856860388,54.33446857358352,57.603714106554655,60.569320570115046,56.869771043964164,56.26765934506872,60.89184110789926,61.003286642198205,58.20785507041037,59.20365215641655,56.932236705375814,59.26468065925143,57.008254091153006,52.98427424574016,50.759147832413674,47.201473896103806,45.215658834939276,42.25878483386417,42.01280830228733,44.23583224559841,45.53136170325608,49.43599357457913,47.71230649996087,53.590814313234254,52.57089598576828,54.47122121842927,53.544170524333296,54.932522199024525,52.027509575693834,51.664733923174474,48.352179034000095,49.14395888602193,47.250637980175775,45.7174965827976,48.34594749722338,47.839516002231214,48.746050705846855,50.63010415968386,48.8000201309862,51.453890843213856,47.65248018817551,44.75916455518473,40.25996478650429,40.0056520056722,35.98203781415904,37.47436337658445,34.21370228405847,33.320414885740014,37.17399164324329,34.646188693727645,38.43243495931974,35.30793215624864,38.865935738127526,34.10241842445932,35.39815960908369,34.85621470272831,30.383979616152203,30.26270432491746,26.25374218199047,28.993807410980015,26.154413652257528,28.77315700416946,30.15666866239904,31.586209293157864,35.17037069928944,36.75252900711163,41.10750453763086,38.59462784083227,36.00044796359843,32.52790177251781,30.970903318910143,28.203567777288146,24.931139598739495,27.003596297971388,23.384188829508894,27.4804076181884,28.761531538027818,33.363457190498146,32.67301938231336,36.02386465905196,38.50870888110174,38.956144394318045,36.529133395410526,33.61742065377508,30.869479808914548,31.645302427072732,31.77779533505322,34.71972592534194,37.93765054942958,42.79363775433469,40.899670891010295,38.24361820805677,41.15206108854879,38.779045006709225,35.71630246678962,33.5970645490314,31.914466887975504,28.224009675132034,27.40779989763594,25.803793336796243,28.134596053375795,25.466421050123078,28.63001511584809,30.890293547304626,30.94856922009839,31.19315791498769,33.959663372644364,33.23541617094871,35.17317664073366,38.853825904865246,37.86214036821617,42.102502075235634,42.43610074887791,40.919599081650176,41.74361228661408,43.58382658868609,39.959699406033934,37.5312400237055,37.10300769749685,36.336093352032094,39.382987700441845,39.95491520812505,40.73133743372712,40.41695578177692,39.61431014881754,43.721564814998935,44.55908657411885,44.41740869738849,43.722493304209166,38.884391363777134,43.120747753735984,45.83290736703351,44.16788021024059,48.43350383122716,48.43259906286575,52.836373585134204,50.81887234529602,51.5580527644292,50.63730215672656,47.74023860285788,45.757260794422585,42.83260536056038,41.99104614484661,40.92998319230458,36.096536025409954,35.71140105470561,31.852524289490084,30.07118700615183,30.38889390924051,28.269179196905494,25.86075767296368,25.608902304026135,25.91263117966562,21.905689706521848,20.39077924274188,21.945457253357528,21.441954820140026,16.257070711416336,16.50970818690212,17.37115385031807,14.039441733761123,11.65669966864138,14.478332183255931,16.862476765592355,19.301025234300408,23.457486118668974,23.414275322433422,24.83028958849494,30.15966574675776,31.47643767692598,35.2088819463594,36.33053375233481,35.838337293702835,38.63445977546272,37.190572406328215,41.71534139822604,40.180537004702344,35.21938047790136,38.70954411543484,42.144530246856704,38.32002829091962,37.10315183490753,41.15876536841114,40.95429887634371,36.8293666191336,37.87169235922919,33.10468796376824,35.52258782332539,37.19654055507686,34.40554622233845,36.21994025079092,36.87442802042688,35.430294407634385,32.38466201649033,31.64016295183659,31.80539760171253,28.540827420492356,26.353824719387895,26.267135626599632,23.96381177408952,21.268794657580706,24.415230495281833,23.3373762869868,18.593370120828155,20.161671420439045,23.74164965362691,24.17950196325643,27.971676495390156,28.794910728589123,32.52173169216181,29.726245154416848,25.812411008336998,30.732266323727863,31.423551401441504,28.198419825831753,29.20195371573082,34.498208025216634,32.606107288109996,28.87314643050232,32.74120331065267,36.272322339783294,33.75444688350736,30.97764026359543,26.620321143829,30.248527083584477,26.472542944963628,24.658096995743453,20.57714629536139,20.170912370805297,15.846924498253859,17.431411690152363,20.53063666512562,24.09354325117575,25.641324223552076,25.625774955303275,23.638125611755246,26.981472548460978,24.494623435851278,20.37364047962172,23.687735477486907,23.397508146834845,23.862871581714,20.49448658588073,17.75975425283881,18.48728757252539,18.619732507860228,14.062203438735928,13.482232475318556,15.236363992269894,16.160550951629013,19.044008153807777,21.269214165461264],[9.226061956654815,11.202593943113015,14.7758914568913,15.562204659943113,21.193299063940856,19.52660908673629,23.38916550256964,25.95482113318143,25.815608587977355,29.17139930657213,31.25593137940821,32.58927283510607,34.25801748087528,33.14438684878051,37.69214264713612,39.119957439745356,38.58316460033536,43.135650867301564,45.84196412822164,47.95648564643253,51.46160519006284,54.9427311620787,55.661285189139825,54.91394595978768,51.62694823792835,48.09948883321429,45.93059526510318,42.13056528118939,42.674369584902344,41.540129804173105,44.788308545838696,43.163047387052714,46.180764335686945,50.487567444378236,48.4931649252344,47.49447655240508,45.70292536480335,47.134876468654745,46.76688377006871,52.081948521922,49.65997567866721,50.93644345687191,55.06461220831555,54.4330277031483,56.97164117080716,56.62903060768203,60.55063163362799,58.5773711197442,54.69783368346976,59.022897505519715,60.97062543968506,60.38842016285932,61.79407907496311,56.31487285606246,59.89236012534438,62.79240575892342,59.01152545381201,58.79715815744372,63.39595401845422,63.12527272861419,60.42509277913806,61.70334807090223,59.65993258196604,61.74759976521198,59.28799539815993,55.45436064979179,53.0947152840898,49.78377457125329,47.5194017678266,44.85059028828926,44.31272981532555,46.49675535283417,48.14047990453123,51.92440179766117,50.54676480823434,56.560521287808214,55.446420737361564,57.64420322366657,56.59645037833711,57.7936363848024,55.040794106912756,54.40384970930631,51.32283528924557,51.78586220605585,49.63353923151264,48.40228401391886,51.00859122138012,50.93305060359631,51.63681206478082,53.940734353482384,51.986461389405164,54.716608686714984,51.00594371328158,48.29952802936732,43.69768769790157,43.55228523702474,39.39128030535241,41.20517312488271,38.029228404583776,37.52437758837062,40.982547015007825,38.48639267303328,41.91525932363042,38.65887961176442,41.757070127474066,36.85013440691898,38.07151880439211,37.035301347014595,32.49340846592702,32.91771421006879,28.79650539624186,31.46521873573841,28.80134534755404,30.915876056977293,32.46159574515533,33.36634897868243,37.0770471608592,38.12147796154126,42.72458523692826,40.694271990289,37.89474527383799,34.56226898814177,32.42597750726445,29.89938342727708,26.928408365136455,28.625250573530018,25.510655599262414,29.3168991798689,30.55079949633984,35.38574129117013,33.97494080566038,37.50889121165589,39.804021615085105,40.83584578885058,37.9264694343758,35.176288991263206,31.736976964121737,32.653670337600815,32.64311789444575,35.9316717189437,38.69632679417715,43.766687691084705,42.23536112911229,39.7462974356277,42.914973482145385,40.969313825963745,37.801229442389655,36.15383430571654,34.63505251693021,31.251600334710904,30.739775124907954,29.61834380918065,32.24353894736381,29.95808031148199,32.96744492919226,34.975216991070006,34.67386483203409,34.766525074714565,37.273788913572325,36.1977405607559,37.51428907390873,41.32032419450695,39.669143161999564,44.0549680160546,43.88717624231655,41.77477505967845,42.65953731855394,44.029042207737305,40.29455663475524,38.001640584837524,37.94327672779585,37.513649362651634,41.029225949083,42.01859564642696,43.16955813405471,43.23463825111256,42.625278054772174,46.87135103497846,47.26928654740847,47.11054095706186,45.879146436961875,41.2361460935185,45.090613176414124,47.538728923995436,45.78800893157013,50.20010541873144,50.29850182574584,54.5168955063974,52.09246579303753,52.73653704701992,51.548686832342746,48.878020042432645,46.64847821650358,43.732112193029316,42.88819356075792,41.61517379846066,36.78488879255951,36.57924864632508,32.5749287473182,31.469077034867027,31.61598032297853,30.150084033961228,27.599328435221295,26.563523801738647,27.263472102104362,23.709578757335798,21.057277414908317,22.63672043487421,23.147101451327885,17.74695225641173,17.057690387792828,18.27125409690494,15.950146620764523,12.204620940504906,14.244907414925365,16.24982802680531,19.08088391183355,22.17042418147041,23.034598036269138,24.725124976166935,29.989974476953357,31.47561557628295,35.15311555474974,36.92361500148237,36.62259639419672,39.73185277415125,38.65134902528295,42.881866083272115,40.88673038901109,36.01230630535094,39.767795705244424,42.697905988940825,38.564090647155396,37.641985082892575,41.74095845049799,40.85637200606768,36.63940625072301,38.187874955274225,33.6033787359654,36.816177635413425,38.57409203747918,36.0098062257217,38.32088948604688,39.20621069820669,38.094908150530024,34.63532385246195,33.948332977918575,34.689788428419824,31.398087265679735,28.72451026215633,29.069322190127462,27.116016931115094,23.895871151398296,26.737768793633386,26.11900968874137,21.54740568943024,22.14611241049671,25.572416807371457,25.575811740613137,29.5403212084162,30.542651840851097,33.88893616888435,30.657838128165082,26.757244001317495,31.69507370895991,31.794806706501586,28.34773716026171,29.496601836158252,34.56545426675879,32.029430195733454,28.300538399712195,32.44110715005114,35.60336584280142,32.55374525874176,29.753238144643042,25.342890836979713,28.30159236330653,24.243795097189427,22.613621468366063,18.75712276676167,19.43451396532297,15.70236374215066,16.014769495286473,19.455552291557897,22.613528142104048,24.79561933086487,25.46870533823845,24.210922481321187,28.03244006763931,25.918787837622155,22.120895360848046,26.219512772092994,26.11774481586812,27.169241668889235,23.386850893661137,20.542143692004615,22.060065515719163,22.286928819798867,17.209358599456582,17.105978112500473,19.500584567541214,20.536969824371305,23.461841199618277,25.65659244204191],[9.460115827201005,11.510978365054294,14.72257849904497,17.236605144535133,22.315451499047448,21.079010312935225,25.204810431415584,27.46166246434655,28.008026104925555,31.667809819006415,33.854176656119385,34.78591514308808,36.532164486385085,35.922045727292605,40.34832188751458,41.50865579874874,41.10326324482587,45.75701008692328,48.66309338027452,50.4590965721242,54.09414698326202,57.37380141607805,58.27204443988083,57.52879785250099,54.1135548667687,50.75444166857776,48.3283523299056,44.56540371181585,45.008803304277805,43.63990881482801,47.23612537472343,45.133531407385036,48.17389166450523,52.58193850733201,50.48139676623941,49.6689867462294,47.50801063101848,49.148540151229405,48.675873733980104,53.69022356028826,51.61178922528657,53.14502150500414,57.14091582024603,56.465867495407494,59.15906297271805,58.776175339650074,62.610105530749266,60.51300084446817,56.55231966365571,60.73822995956609,62.570634331070806,61.828070822328975,63.26867323440464,57.8585807468429,61.23799079426246,64.41467971098179,60.82478212367964,60.58792683993765,65.18443756234272,65.046885595007,62.60141741724692,63.96906731310795,61.93395212848358,64.2725964156877,61.76874402475245,57.82497480991345,55.834929991802426,52.46086025423248,50.50498247611336,47.840361171011054,47.49941001163032,49.86284185846207,51.26294472079155,54.96085073139307,53.30505490328373,59.23996816428074,57.885993396272,59.930831145999804,58.70643179036339,59.76049024782507,56.73408402981171,55.92714771611087,52.582482842207924,52.898295486103336,50.97151627270234,49.948202588191556,52.8631773562596,52.627633411252845,53.76495189514189,56.009693118951546,54.35335068552904,57.255145483418445,53.54753757150193,50.69024509131559,46.14613539048749,46.14752666333473,42.05873299135771,43.34830820661947,39.98248554700221,38.97764436723839,42.49307487480602,39.428503704902866,43.06629300164638,39.35588077971603,42.21932718699119,37.28190859081741,37.977084620094075,36.848722586044985,32.30995346226018,32.965182192202256,29.235746356038554,32.48716132805389,30.31818378090148,32.730331111599156,34.78054209927256,35.82896284703975,39.65540322353101,40.82755791911993,45.651382124046094,43.523682070057276,40.902754280057025,37.492311386220436,35.35676723305737,32.589468252428304,29.358775861011345,30.534940902405236,26.782752653201776,30.37035736544616,31.092175647571665,35.78887217715896,34.14509881239077,37.30943570927677,39.983107085912515,41.064987745295774,38.55325723464304,36.195296814729836,32.63580435452119,34.16648266263466,34.63729985404251,37.93601303082737,41.05262837968923,46.06134290609534,44.67963492705084,41.99034892114017,45.005321912255845,43.04782437791327,39.88164319591943,38.06282595154811,36.17543591120169,32.891211588602175,31.80092976177405,30.92594484892,32.96712647558438,30.849050702639843,34.29136505160324,36.16795229296428,36.18025398572902,35.85201298926053,38.77531865754109,37.24857450688398,38.839720523607696,42.96975303805363,41.411629965601755,45.649619840048416,45.287276602133545,43.3333238949777,43.75569162821801,45.12088801365926,41.2014547157065,39.277626635150376,39.011800512405294,38.90064657218229,42.23142184381428,43.16198137419698,44.37688744284258,44.235193576387154,44.00218380321454,47.8818099947144,48.408100003294145,47.93699493378673,46.84256997270344,41.9284394435821,45.55413550941252,47.986586075665585,46.535972912858696,51.23968498514713,51.69854609263376,55.73937156556973,53.64265860420403,53.896187930372335,52.56197371957138,49.778067495368646,47.26106307431207,44.16565510561653,43.01633985321858,41.41076542996169,36.71455542349815,36.057779339581316,31.846146404673064,30.847971032434415,30.285182510511902,28.941849853967298,26.877119140068558,25.335000072916802,25.48172449983159,22.375553970440954,20.04960189929496,20.70902944471837,20.90759850669861,16.21977265326291,15.042028978856054,15.506321104608944,13.752564748864026,10.349906728112831,11.182827333902189,13.64927284641957,15.638586679531494,19.544150534435214,20.37688530987413,21.531691461000296,26.809246115304504,27.877997793013925,31.831833209987863,33.7054475016517,33.7722122999726,37.029521692649745,36.36097227155085,40.543918665176264,38.334906686193115,33.886751761923605,37.84807870534475,40.61489924978901,36.574810795457026,36.02745888832169,40.276945496181966,39.22273202833628,35.13408891949427,37.26911918491138,32.39642079099658,35.79687352845816,37.16377076680425,34.24652643858015,36.66140875164158,37.162322540477845,36.56117607256511,33.1665772555192,31.86332936190827,32.85843764395357,30.02500936716915,26.89661501970587,26.952167626021573,25.26100178631929,21.965304245516855,24.12351780341377,23.50727176372803,19.22036603859556,19.22924307232352,22.331692732166474,22.452443794770403,26.556274496050015,28.022686215278593,31.135504084208904,27.55002010018631,24.186521277099924,29.265786431800795,29.012099449801845,25.649720738098676,27.421621996281516,32.10646749004058,29.40195389452425,26.229296580034447,30.63375379969065,33.362414126339736,30.309430733437683,27.909408578993418,23.85338401512604,26.649784390378105,23.0332410977609,20.591472844334763,17.496645486956773,17.952253154301435,14.906054283724643,15.720984785007229,19.108755315450352,22.089815543920395,24.364414367412074,24.531393716674877,24.034491887699733,27.742604700940955,26.34023851883002,22.04955133643648,25.873473924851428,25.20064879294835,26.777813779834144,23.46322807048881,19.848302365428648,21.345789646869008,22.73281662843849,17.58521102811627,16.34346010219434,19.11113538293632,20.79160710742557,23.687770725036675,25.911638887929268],[9.090118404880075,9.764158562205784,12.481188949515657,14.350910294615396,19.294692632022453,19.189506913023454,23.268348818493966,26.04410950819429,26.83816577887812,30.14947494841309,32.7053259832743,33.91996914544541,34.99565482710185,34.40495419723404,39.05455676295491,40.061243828364425,39.20880568388288,43.850948312378236,46.47451720185635,48.1878072656801,51.716556501717726,54.86796982851434,55.67810114940551,54.73561605771625,51.34231425633782,48.132951356391295,45.709087181893324,42.12669138410009,42.908473129264806,41.82394560570396,45.81854453781429,43.78013764156682,47.11917190545929,51.350645822054574,48.95905510586367,47.85724744729185,45.68070747514345,46.86070149452414,46.13092811693681,51.021534562089364,48.72343465884634,50.530374367642594,54.483468817346996,53.544833617064874,56.138978143304485,55.54994458365208,59.3977751322468,57.45897956260894,53.32238597076903,57.38165029926933,59.40389493680686,58.685491239419775,60.31162238995885,54.98467488677368,58.55233301598786,61.715077608637216,58.12228266195806,58.186611300222374,62.746995184296814,62.349252551640106,60.06939498301417,61.71269430866149,59.897096576976054,62.139811285684075,59.43165636503219,55.60828923153169,53.73305174950583,50.55722251401229,48.59354002404308,46.235997956876226,45.80043036242681,48.327007292777125,49.80059773872907,53.254295525611084,51.720024826661856,57.72345002933977,56.09550286273255,58.36704201668993,56.918640071644376,57.71590238388301,54.75792864165684,53.651526947425694,50.49588509518049,50.49541697007935,48.386500172625205,47.658944215515454,50.62092069360125,50.75024311746165,51.840057228280905,54.50078523098854,52.876064319139104,55.99053755666883,52.42059591783802,49.712535800603696,45.090662583145225,45.39609889760536,41.194234150041964,42.497109843696165,39.156392099053626,38.53870899629625,41.45034510948133,38.351163704835855,41.54867669253699,37.707638050192436,40.10907017762326,35.08879179853617,35.809892382029226,34.30352433096084,29.76056297605238,30.805807383396854,26.971095346196368,30.096140940918808,28.171691714145354,30.210778551946337,32.5579901221875,33.26407678576814,37.20705594142108,38.07380381681773,43.16996481819395,41.35497442556555,38.729092973811326,35.40618681231613,32.86336220772621,30.13463211726018,27.029668401171214,27.702851983616853,24.23618302126294,27.526031170576232,28.20123149318525,33.02547268696009,30.939504549248067,34.26654957111002,36.728659094210286,38.17793827148517,35.32721331201999,33.09335695946736,29.15191926039832,30.816273525044462,31.330671950015414,34.79187595405939,37.773220905551284,42.83266877575802,41.73314444167411,39.07969208868713,42.18355050940633,40.54950284844244,37.328988331170294,35.84704887810828,34.02066025700723,31.087493191705512,30.22401710905572,29.952335152733177,32.3266008904991,30.910465168486745,34.08132464351116,35.48773635643261,35.07684824831004,34.49295724231685,37.16636869690933,35.23621242350871,36.3019069893934,40.56204307713326,38.54026191365993,42.81577118072881,42.088667336701164,39.83968280191097,40.23051795798042,41.36326987365462,37.402240992715114,35.57744671849683,35.47232293980282,35.58105403726475,39.15149987996394,40.359488566646725,41.86027410871961,42.02732335347303,42.01788025896727,45.96765159562973,46.088966213072624,45.59331487870111,44.07528571995878,39.34313859821326,42.67322505985339,44.91347990360551,43.39792954705607,48.178416878877414,48.73762954691449,52.62104335750943,50.330323851012004,50.47829249705113,48.994651404690295,46.341228911963874,43.70424706283443,40.6370089918444,39.52947068275518,37.88518886804173,33.18654212790462,32.742502876874376,28.550226663079048,27.934945687701006,27.581111378844582,26.671647959809384,24.3036413626261,22.466857712426687,23.222649363652202,20.263105563245603,17.001402303424396,18.196875069458557,19.457756536817243,14.231280017476738,12.712616882466781,14.178064813194084,12.96883425207395,8.349013964627858,9.697205868302536,11.197545882425933,14.421413738570548,16.77097011825184,17.907649842934955,19.804639268622182,24.948068522083588,26.721459794351844,30.15910212377923,32.22027615747102,31.954768275922383,35.23105929645059,34.434509852050525,38.41329984139243,36.12433713413385,31.39459767571079,35.33558916401688,37.912983925067806,33.67034963694519,33.02804402729889,37.1972068453196,35.93398684510476,31.747640117018403,33.80844736928934,29.17875941945908,32.92901809530559,34.53936446682898,32.03335957810811,34.74797123657661,35.757399564354316,35.08366179355335,31.298850208626895,30.55146999820686,31.917139855073664,28.740094703328374,25.528122487829194,26.340788300404924,24.879283267519156,21.133363101049802,23.627825833614082,23.671654973100075,19.478402571937057,19.00765627769764,22.30560625527217,21.721090596707597,25.658192025394808,26.687766668605075,29.67023217037828,26.243605667092353,22.331644875859787,27.19304515044967,26.92492611056241,23.395677703545,24.67046141173942,29.521060264565673,26.73542186726555,23.107655150808835,27.404160921678653,30.31391935607048,27.152139999542428,24.45274666397003,20.169300328946935,23.013113181632054,19.14292904729498,17.21454318317852,13.617660492011039,14.450304638531671,11.442345980617011,11.582730120566398,15.044503344032707,17.96971745764969,20.35944522583201,20.941329182211444,20.5841941314865,24.54565664093521,23.283858880796483,19.396726552751428,23.84157226278774,23.609930564687936,25.519973909669798,21.712706662058366,18.400364868589474,20.738423377552586,21.762453732982937,16.27485899503889,16.131171799500603,19.467746964181188,20.968825494752945,23.904021113611837,26.15629040135201],[5.336590512308239,5.97765622997834,9.21130823033514,11.063636340771701,16.180159497032278,15.274839087941908,19.387634908791828,22.021300844657283,22.780500035486245,26.22256652667291,28.724108541642018,29.83356017899556,31.03625701979569,30.558626098553013,35.115576241924636,36.09997132460472,35.424146752445125,40.09734279438559,42.92805254487247,44.58905360787419,48.21942734183611,51.40128798218367,52.32476350367552,51.545032541832555,48.09118996198746,44.81708828703835,42.313683196578275,38.61232981886828,39.18190935392383,37.94763840392132,41.863390161082854,39.7618558990316,43.04824594919269,47.31646901463103,44.98977191485942,43.99152165124588,41.80913386524667,43.20262133524829,42.625768171685905,47.61635992985605,45.47637795471117,47.09799508707618,51.07054385977273,50.338079077632656,53.04434315249944,52.66195213110718,56.484321495287745,54.36871557291949,50.400076455318036,54.59983546098008,56.42211137014576,55.70481655511761,57.16087989213829,51.747002347690625,55.209632560911956,58.34688916523206,54.745103330816875,54.61195773619073,59.1928618990913,58.96580176893559,56.58161427130397,58.07287394136885,56.14564446171387,58.47930721810514,55.86981650549369,51.9559080235273,50.11245937785605,46.820387760011926,44.97395593416986,42.497414268797066,42.19668154063401,44.776642269541576,46.079010082666464,49.56857953722491,47.88731557436196,53.85032133689185,52.26047830268453,54.43538234384199,53.046399042028455,53.94773930150229,50.96401476934795,50.01635699818125,46.80834354509989,47.00620840964953,44.95793755744604,44.02172404725347,46.94131991841467,46.91082388247897,48.01926953873271,50.533875724178564,48.92668843163205,52.0222522186309,48.425868182261084,45.66857051293599,41.06521006287157,41.37396426099955,37.197901490975525,38.40796257071251,35.05201583777531,34.43841015763006,37.390348335158606,34.39270989792393,37.65135852597426,33.966717094501874,36.65787850128664,31.678245096540095,32.65300459716065,31.438297067793783,26.885000675300752,27.550632858021046,23.564800183539724,26.572674653288434,24.418945589776744,26.664257444792817,28.88484575141852,29.84633420224241,33.740640616565614,34.900120766814354,39.87018297863844,37.80187341289536,35.265706844067495,31.858889971962817,29.59490517203945,26.720137112626166,23.442489934898894,24.393005531221437,20.731613572285774,24.302821554615225,25.19434495001818,29.993378512546993,28.432522467778846,31.835521040660293,34.28097841449521,35.34689782191904,32.62227912046065,30.125921843558434,26.64085033165506,28.03216589475547,28.527706499894748,31.79580972471924,35.03077433967144,39.99535326374776,38.633196816238595,35.892804962588784,38.89220038190417,37.01656992661031,33.830341027301,32.13293077207321,30.287957977757276,27.187755204455527,26.333041852690062,25.887503051188652,28.36347708360659,26.935269337876665,30.00127889137216,31.424120508665702,31.01563372763906,30.550447142872073,33.228464813578974,31.52688763611675,32.82370478893151,36.97144516750218,35.270772514741665,39.527383267981975,39.15001570017392,37.23429982012521,37.72796731212591,39.20618631517365,35.36363851825863,33.29603142146258,32.99238654218204,32.77095504123604,36.12745289113616,37.114911996551854,38.40308213892659,38.443198815984005,38.24655865442218,42.251996840258975,42.53740330033764,42.1432713825357,40.858391497651105,36.07709947212247,39.73065742181349,42.151711097588716,40.570038902626905,45.19042139478909,45.58307283630663,49.65480845160253,47.51410648939191,47.83920335689817,46.577919232141376,43.791807669424706,41.41362179106213,38.38911689195186,37.40067673602737,36.043541998429724,31.244542865350645,30.876543469894244,26.854264926637583,25.692772696871746,25.83694242620864,24.420212452344842,21.83697621998772,20.79340117036638,21.61868218561052,18.035844175911144,15.308035816445186,17.104317603263205,17.896635650742038,12.183103327264677,11.699153468887081,13.497606866835342,11.180444778671404,7.085594016345206,10.192344062206953,11.714414424394805,15.203610713588569,17.95213864431179,18.236880305279207,20.291494705779765,25.48406095405919,27.452302119737926,30.711663304111223,32.205971848876715,31.528519174392713,34.49347409291907,33.17463854315066,37.39477544790534,35.560166716458234,30.470062083860334,34.11508112961513,37.16846274231239,33.08749964933058,31.99249431267038,36.066539443552976,35.42295736388123,31.222149766274995,32.56649894833275,27.916532042810914,31.01802476742631,32.79774160395503,30.33314914291889,32.703385785896955,33.834593823229966,32.668393917331855,29.031413886681634,28.64126985083019,29.578507776807015,26.098149680935837,23.376597007318367,24.213971675867597,22.438876217430067,18.901751085465023,22.077350895315732,21.96979653979314,17.491258416639887,17.857606289600053,21.535065947700154,21.06491293562899,24.799100281940163,25.369438307592972,28.771340702809226,25.888634120224882,21.542868486745213,26.32379502425568,26.7394709175193,23.31402829275044,24.056226329467943,29.362574334828803,27.225083944995877,23.224434376837266,27.130488442817306,30.634265573153254,27.95417850052112,25.02904475688576,20.58061996241266,24.180851314067077,20.360764888042812,18.77256208036949,14.485337744655663,14.301710962701865,10.158907541193814,11.374259130746601,14.543638891873949,18.015141740334563,19.743643655918177,19.9819946364331,18.59534047570341,22.33003779260239,20.465237873921737,16.484716044308563,20.727642133306453,20.704967178834444,22.136476431131666,18.20616624355027,15.254110784949793,17.416795004880463,17.89280878866751,12.448714685548627,12.834120231649385,16.00577821705618,17.214171664665376,20.180190143893196,22.487901279472307],[7.594991741047116,8.119367928709654,11.327964335805367,11.177076426515912,16.828356603630354,15.936925519622827,19.7630748826622,22.79390992114322,22.927226423294865,26.000264762172495,28.46133657294714,30.008394268531447,31.04696761328493,30.044663728397893,34.78025006251974,36.01533502774456,35.11153533206056,39.68420424375747,42.22489487278354,44.20317146068148,47.66710731790069,51.019901863100586,51.72124200119645,50.850763407897766,47.53930594016171,44.1407938954292,41.90958418973954,38.23091251742381,39.01126473641114,38.075481537986605,41.72785591936467,40.09171505296949,43.390535808154524,47.54588172336276,45.27604220314295,44.05005184264043,42.20672964037519,43.293498707808446,42.73085840311432,47.95062483611202,45.411139028989766,46.89482429863682,50.982367915268675,50.18276263322071,52.691961156615314,52.24061124703695,56.15873451079632,54.244607882739494,50.264473776660644,54.522601000220725,56.551134650424835,55.98343142357272,57.49297784607208,52.05985103569801,55.75720205910683,58.6539700282105,54.880572849161275,54.86823830360249,59.44554592472529,59.01265038795128,56.44870765547425,57.940277582417124,56.06298146630266,58.124866561401724,55.499666834402426,51.728156104816094,49.53403938752904,46.35830976079815,44.17118961427732,41.757212583424945,41.20682230803262,43.61060589578404,45.22243682131594,48.76798448939915,47.41109595543359,53.473068322444085,52.07049784746616,54.43652131200765,53.171664068130646,54.14581432937446,51.42311269366376,50.5469614366105,47.60745057555024,47.83811528057975,45.55194370534235,44.53229116913354,47.19206243063715,47.392835245348095,48.09748924214746,50.747510512741684,48.86401083996607,51.82212250722621,48.23846733715644,45.64383810378418,40.975838155730436,41.162759073643834,36.90297970811731,38.63136789486508,35.456777428901106,35.30161886136573,38.16653284279497,35.63837653900617,38.666807114893636,35.32559314138119,38.08050161641286,33.12291458764096,34.45622488816317,33.19048698860586,28.663389994317832,29.294562082549035,25.03387502759933,27.526573786183064,25.017142571559262,26.85821623427533,28.673994271017133,29.357838994384828,33.18677964242476,34.072067743388814,38.92809660161546,37.08238856730958,34.3279560787628,31.025845767803894,28.587215011514004,26.00116574688304,23.051581562963495,24.355263721592408,21.434385866259273,25.0701920545306,26.352292847649075,31.28027355770352,29.684503872554696,33.38577120175972,35.47540320052304,36.68202239505087,33.52494851277006,30.786514754353487,27.187826292039095,28.114474030673115,28.151255075490194,31.522259724272338,34.301719254077305,39.388022697753016,38.02028344005749,35.50495208028807,38.71045387722818,36.97171403018899,33.75889068447412,32.33933917398333,30.853114018380296,27.75272610558088,27.448529279962017,26.873395396273974,29.831244426549002,28.270489868417403,30.985825215598066,32.506269027409466,31.802716594211255,31.662253804790968,33.944324517509024,32.54387298539528,33.456131127901784,37.358516367137405,35.398296824814366,39.80852139815296,39.4329667974299,37.195559874620294,38.07660780021852,39.385194155892286,35.6592450218933,33.359101712703136,33.3559963414419,32.996352832529716,36.6409351273849,37.79705407943242,39.134483136949406,39.43285390374183,38.98470094393512,43.29697432737182,43.37911714302729,43.22162720843964,41.69273570976939,37.19493459836784,40.89339839343333,43.23532135863699,41.4094654167418,45.83537348695833,45.979626299930594,50.11722003559888,47.59777599246267,48.196228688943705,46.95974890731682,44.347322968048076,42.10970277126797,39.235508637116375,38.475816416775665,37.29232056502386,32.43393061473595,32.455000053213915,28.56922128938407,27.582212518559594,28.133472847660435,26.857477346725855,23.96519865630474,23.024669742757013,24.289118466197902,20.65815952499696,17.442767874159042,19.742428921652245,20.958114616453237,15.03315523312218,14.522107640442234,16.642001842909107,14.408544642274546,10.099927299609558,13.088434493594205,14.284758393137729,18.093740488020284,20.056423137439236,20.777856909576357,23.110386136421337,28.218482300694845,30.353612741120457,33.499063330229696,35.17439084859443,34.419662030395486,37.39370739722345,35.99543521204155,40.120437463383254,38.25780163937529,33.0240396926954,36.60913737873206,39.55643107398338,35.34451685018058,34.15058190667823,38.11266517408628,37.32213104219345,33.04213543007458,34.19747574657053,29.85243318234912,33.07285692071059,35.107416547183526,32.94242000227696,35.36372267006949,36.74374157578977,35.385946266371924,31.657567371445424,31.609415272244284,32.5137864154329,28.8256432726236,26.292498293874864,27.31211627605161,25.469656035984734,21.96727046056763,25.316533510242436,25.223164619269085,20.68619804113669,21.15959605008611,24.85101541930488,24.305954332865177,28.008573266833213,28.445879819802315,31.816462819839117,28.970376880355726,24.476949319877995,29.13285590686344,29.50603947566351,26.004271594664118,26.48471286313384,31.837392528809534,29.542073992240493,25.308232944455373,29.13012845142317,32.68585890711067,29.790674117229496,26.662749266646824,22.03912725561062,25.355670211030837,21.157676427464306,20.16353020073037,15.632479762327895,16.16772216737128,12.050650275591542,12.149485483194315,15.442535213785636,18.764859345603803,20.70566489338057,21.60661562410842,19.999005167227015,23.920441843041154,21.668019173232718,18.271908024420927,22.824808822941495,23.219619800340656,24.379943437259428,20.120428992878814,17.762837865642613,19.95938356088196,19.638263915010697,14.317072720461503,15.4673814865637,18.30505907020351,19.079348228123767,22.029809041434746,24.248591851744685],[6.7899524123027,7.7745137052956705,11.212258221045174,10.269375955078017,16.071353930646485,13.733110957226149,17.340791524416087,20.13038351183336,19.71701798122182,22.88654348810489,25.07376245304441,26.614621553051954,28.01682660288933,26.846995250959168,31.46459475969337,32.87650005964517,32.2527257436883,36.79983063425667,39.5364556110085,41.64419201923054,45.16962691939929,48.678540571666865,49.4286383062189,48.77149657698204,45.46584469887479,41.891149342145084,39.715255823680465,35.86137737131791,36.36632091196866,35.297860283526525,38.54702166924786,37.05535322256817,40.16958091524269,44.376992095967985,42.33071803904422,41.22832861617713,39.55866501423715,40.91343541815879,40.62801606876022,46.08267585292528,43.62612431493128,44.7327860549677,48.89544445288636,48.38657160396209,50.95052127460929,50.76332237254938,54.67522899250109,52.61664239828891,48.89177792956568,53.34396922148058,55.17964490905138,54.66765061105583,55.95287880238381,50.41566978337,54.02087694389143,56.78050923122539,52.93391667071925,52.65423952655354,57.25414428615168,57.006505264950334,54.196056405033495,55.41496183825915,53.36063047658995,55.42573912761476,52.983942276614165,49.14431119449721,46.77307258938799,43.45248946609119,41.229725681473795,38.58578383148657,38.09681975903401,40.396020940063366,41.946114332886665,45.66356262412202,44.25790635101748,50.291800835448235,49.135788581630244,51.39464380998503,50.345934783703484,51.56526754475197,48.917933684878044,48.36356479676352,45.428534627507425,46.00406388774993,43.756903948428416,42.368123623552705,44.83052613029544,44.822975277892745,45.37057150272112,47.75394362335022,45.74304682746542,48.52176751354695,44.859659995379225,42.23055516467769,37.58409456314079,37.577581977704824,33.34955866625762,35.245705854597915,32.14453129500824,32.0729063671529,35.18635432065851,33.03539896060526,36.18109926680071,33.25091522769156,36.49947679758074,31.677342394099803,33.39962725978168,32.56109938510036,28.107172104163997,28.182337700025315,23.764730255955723,25.89135871125255,22.878781859071953,24.880978101076288,26.182875871067576,27.159638653099982,30.816250184571526,32.01469400524772,36.52698920994602,34.38600224859506,31.631253626136893,28.263128884328257,26.25727840517196,23.66615959315368,20.672688367730586,22.70553683053212,19.887957514792156,23.90365224964987,25.57934719384543,30.400857663510706,29.50108604671453,33.27398625830292,35.259338539388295,36.000565925849436,32.954862527045215,29.839122098067158,26.864946930410426,27.24070203879303,27.025777956218917,30.121869929718834,32.978638019172195,37.95494114689615,36.201492528101994,33.70600337226764,36.837425013257366,34.78140630630485,31.639222250194486,29.98831928562687,28.650789592340217,25.238046842440326,25.13983756842495,24.032440833318397,27.196329421532553,25.254630590353038,27.760723382895282,29.55197066273223,28.881429482252855,29.156518720113198,31.33157378745093,30.514933816518294,31.698480248604696,35.276004283086046,33.742197878000034,38.15192728549135,38.28706114899616,36.38256392199355,37.53438605883205,39.18427251343999,35.67711109578549,33.039239887476825,32.90466447317983,32.072541882504694,35.489244659491035,36.37276925220418,37.386493294772656,37.54504068123184,36.691258545121904,41.15452941001804,41.47625554572607,41.54041671231011,40.31843627237805,35.862580001303854,39.98530969452397,42.52545246420349,40.572364574950306,44.69371049331143,44.5227322710407,48.91235903249122,46.469572786610854,47.39825555099678,46.454598271727725,43.75385273835376,41.88666463279904,39.13113022672723,38.565727399011315,37.740790883891044,32.830077736705285,32.98660929785819,29.355061971148857,27.82408778021077,28.878305333255625,27.074986315951037,24.04778147877503,23.969955741637204,25.198406576633467,21.06646490844169,18.583475725647983,21.242487524116314,21.840738899895626,15.87089676036681,16.24758473519464,18.302637242290963,15.217666291908591,11.876803362259661,15.564012003667536,16.949788550383882,20.60400274453468,23.079392261074666,23.240416206417795,25.507621477643298,30.635361298543376,32.73812837849714,35.861792156105565,37.08213407161494,36.08415563754505,38.7788513109731,36.96914600161345,41.303264388544854,39.85105534081788,34.40958952718333,37.700028394063146,41.05542893417827,37.03301626866983,35.4739351551101,39.309704637920504,39.06899902013929,34.821694608254425,35.32779669589984,31.038390842003444,33.56893121059836,35.73516771304306,33.59467068296037,35.596303808194754,36.98394479633693,35.14704252806056,31.707241183846165,31.911022921627882,32.27545755911729,28.403049310943494,26.46821762765294,27.295861153363965,25.098740291104757,22.046321108098002,25.855110767634283,25.42370529118128,20.705659970809535,22.057347688024038,25.91971863071559,25.66504615718741,29.195070287416907,29.346302278968718,33.054781242697366,30.634814863930362,25.98797604736685,30.547544806504803,31.448712756007925,28.088993266527638,28.241412072773457,33.85575615276842,32.05253609284319,27.657080590773962,31.153367328236627,35.09598769147188,32.55679507931589,29.32601993210217,24.663244861976423,28.397903449571245,24.263712602827646,23.459869322705092,18.66137709257567,18.562253434227863,13.876548101838889,14.659124669884427,17.58579853255474,21.164416027732553,22.57169309482042,23.22947006526439,20.691981962858783,24.26205347664652,21.29213210200367,18.02321290346838,22.10084243705257,22.696472354083742,23.097967271113607,18.87817206860032,17.144535900794438,18.75493180975347,17.57288760154401,12.766672078152377,14.384176668112612,16.47694211517966,16.701042428406325,19.59328724350075,21.76297855659818],[11.442759655358348,12.97370096049693,16.41634258365947,14.611892952660522,20.467058292065715,17.738436650684044,20.80368836491994,23.546048414117084,22.157037892003927,24.945544886904614,26.67386591487856,28.56560996290985,30.238495430029616,28.328073432556327,32.89792867686717,34.7698851187345,34.186981612311115,38.5044378102157,40.99048555696697,43.58436918948585,46.90235228294021,50.701852634146505,51.19519076719907,50.558676156635435,47.47860386209444,43.67129772845654,41.912014609758366,38.03093081074745,38.57080265022697,37.72265704830985,40.23826266537788,39.37765280940008,42.23267580577403,46.362759278923356,44.64126906950068,43.45562849719268,42.28203068311827,43.533451567039535,43.44752664973359,49.2088925502148,46.403586369539255,47.12802586551132,51.426146350848484,51.006389284082786,53.340555981815065,53.19246380716264,57.18827552521239,55.32075409963892,51.72549584476555,56.28562499316972,58.26149346064305,57.92960763541927,59.16187280670632,53.59508993829958,57.350406180534264,59.78955384055844,55.753064455359024,55.43627834298299,60.01354503336147,59.66426768405884,56.521801149638144,57.536405359498694,55.41069374639036,57.147928382953516,54.85671220329551,51.16991740075587,48.24038572379548,44.97971150189975,42.29091751456129,39.53315218288235,38.7492636983959,40.60463714513265,42.55064199458869,46.50612321589037,45.50394850066067,51.561604594242006,50.899900705716085,53.237173930246676,52.539003026155235,54.03304100703147,51.71314336754978,51.461596430151744,48.774615613699766,49.58763538889346,47.18504337288349,45.51816212057623,47.57900971053864,47.6232085294221,47.653552238841215,49.889688373480254,47.48766650172018,49.87306208532449,46.15931681904397,43.679883879419755,39.06702574446285,38.62840050606961,34.44035389026256,37.05699463196887,34.25176202532316,34.509293031378036,37.908356540415745,36.415668791077714,39.53211835553784,37.14102042752708,40.69608867055825,36.00576401695428,38.044852966512835,37.342264010458685,32.956640527937395,32.831879593889575,28.296878393532843,29.93045684422082,26.472086046341015,28.160094658085615,28.686345654907786,29.499872109883402,32.86901658936958,33.870987382099024,37.91091418547084,35.89738206451836,32.88640031186998,29.699059420271453,27.83251349547201,25.73653977185105,23.250118206010253,25.980371139993814,23.949429968520857,28.03871807047151,30.070604908707043,34.877068699257286,34.125281059881544,38.06130632449518,39.785914754043134,40.5101341441726,37.214146981890394,33.845172191167194,30.967136994744088,30.78135714724446,29.995825183555365,33.04120718318857,35.30506941097137,40.313071929837314,38.400717660730585,36.24115889366654,39.52509637707681,37.47324221549743,34.40366838201767,32.92446310981203,32.03055847481615,28.478920610272233,28.880140020419038,27.233446696842066,30.649509147828628,28.072754215785427,30.272778166331175,32.509851716513566,31.7914482420616,32.64582963948124,34.4612783920068,34.29278117573362,35.32962783500548,38.45687233093468,36.920731613008954,41.42034238343415,41.76628475751855,39.65439198670455,41.26114776505062,42.78928085396997,39.470992987590186,36.5805840061129,36.722983477054356,35.651707824354524,39.21968759316137,40.13393257246253,41.02328523031742,41.29647956787577,40.00728566268074,44.7388198190655,45.06960671499686,45.42888536411814,44.1835888678777,40.00102375134008,44.27766230887521,46.80253673464227,44.63376398109403,48.45191952429437,47.925187939273485,52.442641763967124,49.66104116829088,50.97390148205417,50.139528889311585,47.605204336090125,45.96157914519718,43.37719523261708,43.02571741557725,42.36554140645654,37.44220152710396,37.8543034767,34.31675133667535,32.858725771648515,34.066435751913005,32.264059197803725,29.17102004233372,29.140841279304418,30.42450781988585,26.290264095542685,23.715353481105527,26.373569157891065,26.938788918754582,21.045469104472193,21.24728679017978,23.10839025018151,20.044966379943236,16.663017640134573,19.882012851784157,21.45673898180888,24.92425136794393,27.39465333306682,27.969939800639004,30.148852781625465,35.3354737942925,37.24586368450608,40.575140240903494,41.987005175814836,41.14991781517456,43.920792060338655,42.1835620987149,46.513868101805,44.98856689121195,39.58565203798882,42.90706494635546,46.18905847193366,42.093012183850334,40.571184743060236,44.373632540516184,43.97982627268438,39.69342885528442,40.20071119549655,36.07235743605396,38.66420613121202,40.914787439986476,38.823941495534605,40.78114049894463,42.11457062879407,40.2051236481085,36.864727995263074,37.02761536841028,37.23269314259091,33.40110008255966,31.58548550458456,32.1819743431741,29.851993857796877,27.007909978905385,30.696919024867334,29.97423272199592,25.189575783204166,26.70799473274896,30.464703091378386,30.447460628691562,34.10946137251752,34.44665773715145,38.146382285291395,35.55343328220749,31.064989236875814,35.7002513261208,36.4408917934209,33.02628681331952,33.31311653361978,38.84990326410909,36.790022433923006,32.43816186919797,36.036216971106384,39.83787101774148,37.03442899054906,33.78701183277817,29.07681892939747,32.38502509103052,28.003256274069464,27.381943937153988,22.732354034382915,23.25976140706039,18.7938764028198,18.872035352302397,21.949307700464576,25.283498480505468,26.98316893429246,28.07494123163145,25.557549826405253,29.18857183599605,25.969145855296116,23.052198741303133,27.057459774988192,27.729322339800106,27.786706882810915,23.6484726491874,22.172221024617258,23.390435950847312,21.818048243944613,17.51232959248045,18.94128729848747,20.40900800323238,20.3265673341335,23.049142047472202,25.044861645403152],[14.858451251586136,16.237747486148777,19.48077528589945,16.732738987966762,22.40047144009589,19.359545783217705,21.83580047543199,24.573980093725453,22.44307233045965,24.751850225944054,26.151694275841006,28.38000011592319,30.06497775036704,27.596665491126355,32.0946564095177,34.27749878970881,33.66592722516517,37.74886201030595,40.00737602772351,42.94363788257809,46.07725201015281,50.073797719160794,50.37678003940728,49.78337575392674,46.89003737812955,42.92632001989313,41.4973654869003,37.62717962381799,38.19436366871294,37.56763185245488,39.52722023145173,39.212353169014506,41.902086249334396,45.88546560732084,44.38109894296957,43.08285865722135,42.33656046798904,43.43919860486204,43.516965670655615,49.50156784166922,46.43646492501796,46.821933861641924,51.20058896340166,50.88075998739796,53.03340225078258,52.96385159492954,56.99421634823248,55.255044200902276,51.82794914913082,56.47982804996043,58.51517783548809,58.34299509244065,59.494754998017896,53.92215545690382,57.785159010959575,59.92474935711495,55.74441379577537,55.39658818660226,59.93227203001707,59.502482876636634,56.098476298451736,56.948514834082054,54.79137347243152,56.2557916036578,54.085071354688885,50.54122574361164,47.20834141994604,44.02818035649615,41.01471041632965,38.22448560949205,37.226282331234934,38.767904799560995,40.98220093883738,45.05227729231514,44.370782557003096,50.41809922124234,50.103517586112766,52.525654806379215,52.07989361840949,53.76057087766469,51.742587640006455,51.72716358340181,49.30465658729676,50.304630535683444,47.76229092425199,45.86692859707072,47.565448899320636,47.69750808396829,47.27986944313865,49.44923807135771,46.74872048290099,48.850467908919086,45.153141407016996,42.85177739748077,38.286878266257816,37.596681043605194,33.45637224337067,36.63055391841598,34.120220873024145,34.81516352959302,38.19925920171987,37.32447018720435,40.247205573348545,38.37373256074751,42.12522589096732,37.60200416068602,40.00638580866823,39.4480836197427,35.18672625852219,34.83661610389285,30.189397027348573,31.265925607402057,27.458984563054212,28.82117131609285,28.69156967004502,29.372304459575098,32.44882305417942,33.32794419126728,36.9296133556323,35.01536731182387,31.86152616393328,28.86044884764739,27.168882638074738,25.483964600622897,23.452166227009517,26.715126719454442,25.406668004716348,29.508187322205252,31.892934720389913,36.62103348234223,36.13244732939818,40.22022744197831,41.63800104514996,42.26068160746486,38.7645888439354,35.140899439042,32.52206229696993,31.764265480557814,30.51383860870681,33.4027172559087,35.223543551467166,40.15828031277986,38.07743711552204,36.19586340026514,39.544403313900496,37.49626952868884,34.52823285045533,33.2184860801832,32.73272806794149,29.16081803631756,30.072845466436117,28.1348999208834,31.875304670399338,29.088150309695074,30.8190793425482,33.2165476074057,32.30631179938854,33.60812653826591,34.99882379916848,35.36187102578337,36.199782873365756,38.88716983525352,37.384737268071326,41.9092808315358,42.49600708578873,40.3208185883375,42.32935880510388,43.84842318661416,40.776761942316476,37.625001466444246,37.9375051883837,36.576695061001104,40.18307376255466,41.08518665355645,41.84352560477722,42.248317246599,40.586356147621125,45.54885230963187,45.829526055680546,46.47496060931443,45.20224001863387,41.327930185223565,45.75055021576387,48.26758385911142,45.890618022663645,49.363884206893516,48.49370136465108,53.123603597568234,50.1001628019649,51.77939974848268,51.11121330033845,48.70855324569936,47.35898200332929,44.973089832246,44.86983626425411,44.47919195275862,39.56592039162509,40.27175787156228,36.953967411560384,35.43618421214902,37.0267878881415,35.15615771255108,31.896059036821992,32.182284091172114,33.66976415030963,29.416197702064196,26.844837546525003,29.795883134395385,30.401654873875525,24.45380674281813,24.836032584637035,26.822329044689237,23.63718733407495,20.364117349185506,23.70218578638136,25.17535729645886,28.753182498911368,30.991355469797064,31.60503641400723,33.903032704092446,39.05131800385903,41.04337557198693,44.30254924404449,45.668362871451265,44.707068237354854,47.38706017055843,45.46978710999054,49.800362265930715,48.40312074335747,42.86261875805209,46.036676576045295,49.38266848258787,45.288650863096066,43.59251541758639,47.26141585886162,46.972093592323716,42.675851546856514,42.838554210373616,38.952432942814966,41.354073879277266,43.78619753003796,41.895469383102295,43.72779604710346,45.204109676021574,43.026028244940214,39.76014600810755,40.20330088295592,40.210992477555365,36.2387113553352,34.73684968702461,35.37312613955361,32.92829888404455,30.265516825723605,34.14200688134593,33.344123377966945,28.539246017066176,30.31364843279116,34.10940465398754,34.12400695310679,37.7089066620678,37.88435642979663,41.659224847398335,39.22350370196415,34.61633852550651,39.14349452766316,40.02335635745402,36.615961870999946,36.66578826168913,42.29186379259947,40.30695463348268,35.79684236999459,39.2265603307491,43.165302409500306,40.370915320349745,36.999010100452054,32.22681444725848,35.47986709072886,30.97516424371174,30.72469799069264,25.953611034022813,26.60462441271223,22.085839827494414,21.906817856360302,24.83217297416484,28.076810792752454,29.679156424007964,31.021038456554585,28.16033752801098,31.69475405137517,28.098313423628728,25.653055375942476,29.55783279660536,30.508941734157602,30.166873400073968,25.9923168922354,25.06464699987983,26.1029478751864,23.866903227530642,20.074452496566476,21.917818948701598,22.935936327817476,22.41040232491258,24.927197534063776,26.736044202438055],[17.850668901037547,19.22546074505437,22.30442983671018,19.09968272113237,24.431074489203162,20.853079195290945,22.739411373063415,25.219296602238103,22.402677272111223,24.325598066976283,25.256174048757416,27.65102998873691,29.528258169618848,26.619823480142497,30.876653125832014,33.35168750975526,32.89640505042946,36.72316207989958,38.8939391560627,42.10502765154069,45.10655167526648,49.281340056215896,49.476196500720945,49.027079631853645,46.293195958744946,42.17745703879734,41.023354556878225,37.130281370072126,37.56091398354927,37.02233749606055,38.330674926666305,38.48169584203002,40.90580819529776,44.77446090231113,43.566878270626916,42.28163919034414,41.92380671552527,43.05775349691422,43.38196419203673,49.553484874288806,46.39829591116157,46.37118847607129,50.79613000088547,50.6881143490899,52.72954925215945,52.838744934029286,56.85523189913686,55.143440843755485,51.97520538407674,56.73575283387832,58.70245739371259,58.656850518817656,59.64316142985243,54.06176349296421,57.9137957290106,59.78472758148098,55.508710225737275,55.009214671968806,59.49584363126826,59.1111794737003,55.43766860062355,56.02888631449973,53.77109642509697,55.040630866841084,53.06868843877166,49.615488151631425,45.93655084614356,42.76584784283291,39.52893215979571,36.61267944787058,35.499223966513654,36.70846705767689,39.073434614243304,43.29655338761426,42.82896974695762,48.79571681461653,48.872406876237136,51.269197290840445,51.1207607417224,53.04441021903638,51.27976393803955,51.581422206852636,49.34784288220146,50.62259256350646,48.04357737216957,45.847472697667094,47.19506141896478,47.27052676238385,46.48049076230391,48.4305197405013,45.480326825529545,47.25344598090942,43.55281950153952,41.37954573800877,36.9244838902171,35.927689624540946,31.912916982381244,35.54528310248579,33.332166277678475,34.33797113988163,37.810450816335205,37.54007253261666,40.36308236174026,39.03527369565734,43.0731799484122,38.77685983672884,41.50435920156814,41.20821162578917,37.103148345581275,36.42065759975081,31.756820597983545,32.35028208125691,28.22654182574571,29.419920929462833,28.614290012933765,29.331539217500065,32.04057807361537,32.97281527190152,36.01804224398665,34.04928233748746,30.849277461708173,28.022681788358103,26.743534809378637,25.41044349567187,23.755930451378784,27.57254266493649,26.77799840648333,30.910476234705726,33.582508216774535,38.13616897652613,38.06712739622497,42.203979360767676,43.40700281809173,43.77882613581868,40.26870799450593,36.409903873608066,34.2302442656335,32.95380096086224,31.35089828019843,33.9567421928902,35.491247753157516,40.2455199768293,37.90285963413604,36.248765885737974,39.547068179625384,37.38020549421419,34.570967859653074,33.28553712954872,33.14303941436925,29.500428630651257,30.79274748714422,28.459326845238405,32.37330706373333,29.298579524154096,30.58620365315845,33.1989421731379,32.22361896458131,33.99469060249001,35.04181514070721,36.01509722072713,36.84762327746273,39.06143603314711,37.80953379233528,42.27703123086463,43.23438604883693,41.195834556690755,43.52706701831278,45.16340066613794,42.354186828152606,38.965068306548304,39.31623255562798,37.616978757841736,41.090030315033445,41.85017915781768,42.370067608902374,42.77907240111022,40.71790238517619,45.82272565190502,46.190879134584634,47.10298329359727,45.97362818937463,42.346001781533204,46.97995973358378,49.5518838427016,47.02855356808897,50.13180457084478,48.921997928945146,53.68903146416726,50.5817645182586,52.613947621877934,52.17639254363609,49.8341390824187,48.81931746259545,46.61405669302286,46.72175320119816,46.61354986696436,41.733400289850486,42.6254861692451,39.533963831190974,37.813511096178516,39.73410018743071,37.66618169300695,34.33363435324456,35.039810022938155,36.58003072043684,32.16727535983292,29.860570260773937,32.9916965511733,33.41171554989159,27.51633934143206,28.188564103828053,30.17733281744936,26.75478019201341,23.80186260753765,27.3119975401753,28.801860424645028,32.365865749235226,34.67685151885431,35.145357439088826,37.458331904725284,42.59575170064036,44.59771722106993,47.827962167354414,49.019386654965295,47.931652590945404,50.466858928942926,48.33378938237768,52.72439813187264,51.53712040483432,45.8875602183123,48.87836524416811,52.38743586415868,48.3766904261404,46.48430123689769,50.029626738122516,49.986146560180934,45.71335903556058,45.49296374178627,41.762535614245095,43.81246364784177,46.35627316007107,44.57469941020913,46.176374340487016,47.70012371846624,45.23286068553332,42.15274751320894,42.7994418079012,42.507337270932844,38.45957790034443,37.336268739997415,37.895134409741424,35.30071099761997,32.9276804071933,36.97485787556346,36.02017554533496,31.217037916563438,33.35990435629841,37.18476201587919,37.32062075237675,40.801488436789064,40.82261945211294,44.72430119214426,42.5024235414194,37.82778267028282,42.260532229881264,43.36667504647869,40.016948625096674,39.87481993442212,45.602586682459076,43.810039324627716,39.197298260076856,42.44715238669487,46.55832230449701,43.88526685167359,40.436477743080175,35.63854028872492,38.987882953695014,34.46264280906847,34.400115658798924,29.517930998166904,30.041689321616467,25.395773972435663,25.299360338504282,28.054971380846766,31.309793883648577,32.70459780766853,34.06276119215939,30.80896931926603,34.1280014633544,30.177069973354183,28.054632742920184,31.647566801929184,32.77098880112553,31.957214717614463,27.912961515030716,27.474437303271415,28.17540469589875,25.37919039564658,22.232711718236096,24.2855734378286,24.757055120779366,23.816497680291924,26.071201985008777,27.665924723454758],[21.555081235032265,22.568547118091576,25.37439287093869,21.328016696608042,26.316569224513934,23.018332946561056,24.311846024277607,26.944374679142726,23.649164814996478,24.8118596227425,25.547056760484004,28.385886564972143,29.874682722771112,26.412066616620642,30.60413595624086,33.304926818226924,32.58154200924867,36.061831915227806,37.76779643300507,41.314178664207056,44.007164515336896,48.31640155231784,48.23094098711772,47.72577186189186,45.25006119315285,41.0640433335301,40.322289456394074,36.58822888219946,37.22828864275775,37.09777114256019,37.96606349267603,38.758239754871965,41.11747886526764,44.68909412822981,43.5876155274884,42.04450617296643,42.15476104801558,42.87989096640468,43.25128866413583,49.54662525235037,46.02001003747872,45.748120527161156,50.206986415978704,50.07617140916876,51.83933640000164,51.92726977267763,55.965868332316624,54.49745508090064,51.451141144297395,56.21406286326431,58.33389942265109,58.47928557739334,59.46469154061548,53.956998728831444,57.99138206965506,59.51743108639958,55.10767068222137,54.72963127251372,59.12541103979083,58.52265712999708,54.65918692596807,55.20259282470376,53.037262016692246,53.928350050919015,52.00116937810943,48.80284930663392,44.73249751447301,41.79807449131943,38.18891782472082,35.44375868560478,34.01167087110283,34.889532020229076,37.628233258568606,41.816302059041554,41.81806422194113,47.758578849438294,48.096528631489974,50.690192106046695,50.71330898927184,52.699864254607036,51.31469059878226,51.72102618666017,49.87532240778645,51.18337329460535,48.3960828269139,46.12245559803528,47.087280563508585,47.43823494003443,46.13932240246797,48.20821339719939,44.96624384606188,46.50581611197331,42.93433591643785,41.07156786707567,36.69520257506756,35.58806560155381,31.64417023175919,35.84229180042942,34.00041014072591,35.60841689927013,38.72340470235631,39.039049362154174,41.440804953791,40.56888874672529,44.543039459432514,40.42140622491564,43.45352446783916,43.13985140760369,39.19553513718386,38.47616895376977,33.74741070298425,33.769690068221955,29.505112910355134,30.165648805128683,28.817070863268114,29.179643209073483,31.551876933350282,32.14325091546731,34.754884131370204,33.12242684133642,29.78859969324209,27.308824193303412,26.03530991805636,25.268293407506974,24.25846565358353,28.28656552789141,28.36322048238934,32.290287018861605,35.22907062082738,39.69032360416866,39.6868546165683,43.973861238253306,44.78753261484496,45.21466331286449,41.40868174940448,37.40618607840023,35.35472956649265,33.56818221182507,31.50553711952407,33.971822645658776,34.890047312594724,39.52519697859287,37.16528124557484,35.88336003968606,39.25972449519603,37.296352064703875,34.61618897836872,33.71207355152411,34.03014646256108,30.608205089390328,32.45987064675295,30.178250242226113,34.429022014702525,31.531853205364722,32.267848277006244,34.76194405971905,33.43414542416345,35.48134079747289,35.98413574253477,37.28124122638794,37.6635324018997,39.44680828593782,38.01909305134308,42.47449555509954,43.500674244178974,41.26910117881295,43.99189745908969,45.48392447326918,42.95070026748612,39.37822713838556,39.98362278642773,38.10770049135633,41.68850768512947,42.55690031070822,43.06909758365984,43.74830490208373,41.43943673145852,46.74923832588073,46.87686067647622,48.05728187879284,46.7182740714309,43.52184421615082,48.116320230103355,50.569209178565444,47.833084818461195,50.58671778716344,49.073800853872875,53.83991593731592,50.39700043706606,52.75897383426435,52.428259976869874,50.310222324024885,49.55187347452387,47.58426614393465,47.95378423277938,48.08840011795766,43.27761839755242,44.51486188940555,41.666277061556585,40.06002728580318,42.34267467866186,40.391444359192526,36.86996091869314,37.72032388932783,39.580479115508744,35.17958183532198,32.64075819647935,36.08592627170892,36.808074498295,30.808374789245843,31.506691560399172,33.75360470864364,30.410720131067883,27.312653448596667,30.90867520074707,32.14984497552606,35.97057173830382,37.75081677732598,38.34462734665814,40.8879686097882,45.928531421880365,48.14543739578547,51.189902307845315,52.424933921063996,51.174322905731245,53.64710345494496,51.366205696022455,55.65948491409553,54.53660678492069,48.73996948131561,51.59175757098087,55.04843727040021,50.99692622157305,48.95778239042456,52.32981147238446,52.28486652633075,48.01353436565417,47.48180465468999,44.09811542569713,46.095527073880014,48.85171688719065,47.38522758298471,48.98263418911769,50.77134399629322,48.10051532760274,44.96905015359171,45.98862630178721,45.67995681320724,41.456058507433845,40.53106808917518,41.32836656044233,38.7438681063831,36.36969901117173,40.58436136848753,39.757165726886086,34.975668036952946,37.116307559388964,40.99446445648468,40.98079414308251,44.37222695885063,44.18370318641663,48.06987808609296,45.988817312804024,41.12939729774218,45.3940425920302,46.567625942019895,43.19990409558455,42.7560745963295,48.532401788470544,46.764020574878465,41.9613416544693,45.00887088091467,49.22335561071646,46.531212371642425,42.940858606868616,38.10868936944273,41.329795100228914,36.70478236382485,37.106693188016024,32.12678904238057,32.85884284470467,28.28873441123032,27.79670754335929,30.359219485295533,33.42269412471284,34.7442264176029,36.44348395351242,33.00280855915129,36.266084740101945,32.102195256441895,30.56626797562929,34.22761076287842,35.687906440916684,34.703522738552,30.528283497910675,30.578211402300678,31.399871214121614,28.098477104016506,25.24679121790728,27.804623617551265,28.19612911369882,26.979152604116027,29.069974076548533,30.50432730147187],[21.98070958540598,22.98450149645983,25.538418914580962,21.555223711205397,25.999907564655636,21.817636006910814,22.548834513449293,24.59013767372847,20.79293261897104,21.832082604430862,22.02263726565151,24.731421430274217,26.648888441373032,23.103807746460753,26.90090158798774,29.756771555306234,29.486832903619998,32.84081608354903,34.86583350897517,38.41495070828099,41.20392377155373,45.58795755753545,45.659414589344465,45.46964204565633,42.970660532681386,38.679834948153974,37.92253138055292,34.04866209336225,34.251438470129976,33.894776176825886,34.23149330084325,35.13909008771313,37.19794918474676,40.784562781554136,39.974838514414444,38.666779710605354,38.92836580716548,40.03827487034245,40.738348567444,47.11634253303186,43.88866144138975,43.21313972249601,47.65251833243601,47.897728983462166,49.78737733912442,50.22080212198803,54.1593679413494,52.44621358662442,49.743804548309114,54.64434808276985,56.42962620277206,56.572264050972564,57.26911515315567,51.72089336777461,55.51284635236515,56.950228971144476,52.568914858061824,51.83881360492973,56.215469065832664,55.91268345109519,51.86853478491733,52.07555238273794,49.69574323840252,50.68564960503559,49.01019802338921,45.70535066515915,41.583904615107066,38.45255971408534,34.957382203064554,31.899406268593157,30.655287786210717,31.429131277403226,33.940342337455505,38.31912369452221,38.1416730931597,43.95943114940413,44.549774027702135,46.92466948374904,47.178162460406504,49.417077919331454,48.06807205240542,48.8284451416642,46.952531664690426,48.61893305534395,45.99527597154467,43.363425983865504,44.13977403389713,44.174511719176806,42.80331519578354,44.47465973275558,41.18079134561059,42.508530366013396,38.865372154645684,36.949269378297465,32.68798102927059,31.339911485036183,27.534178520697576,31.849409894551535,30.180832315972577,31.86757558778249,35.15349808797107,35.90505113538322,38.353674270486245,37.95480643486319,42.30528815975453,38.47179021795487,41.734397729315916,41.849812474614374,38.1161215349289,36.91364121008359,32.31668705523325,32.00537902173989,27.5034220671911,28.3194642278488,26.431619311225628,27.201203371760514,29.2316680340186,30.302047836326956,32.40493078420705,30.324294467055267,27.15469353354165,24.661988670924448,24.155775590858784,23.40223190332364,22.434837350970067,26.98699771059175,27.113631499612854,31.122208636291408,34.221725974469464,38.36292901847085,39.027768002839174,43.18315313554226,43.96615300011885,43.89260266033061,40.413366564629996,36.229494214348044,34.899841632450745,32.77600144612362,30.677660275695587,32.694982561034585,33.83853733018658,38.1654840158901,35.39551929282686,34.09679793629163,37.214851249069035,34.87934566888967,32.39284613564877,31.19204552167196,31.641702685033678,28.058154651042454,30.03843382909457,27.297982650402684,31.53004531687162,28.4062349429452,28.747602267727125,31.424951675835498,30.187010388304607,32.63559056586754,32.98589759801774,34.889750583384185,35.61037853533269,36.99450990319008,36.1799172169358,40.45855728699961,42.033148174762864,40.334155174533365,43.1329823936696,45.01292167782039,42.69968655772056,38.96475406069014,39.3114774174971,37.05039979909165,40.19140047174302,40.69260901934279,40.818687462868155,41.270955810852016,38.60939602535958,43.8927450220251,44.32598510265875,45.67391900354244,44.759080942307776,41.63026545654638,46.53231373980152,49.157789349846844,46.41849594367042,48.853270720063826,47.10268069677859,52.04371247997836,48.88611962694736,51.46486987443316,51.443183778477014,49.19850873118226,48.78406356890867,46.917730490359304,47.39412680999486,47.81189867309843,43.06647041430722,44.2886571897977,41.69013502938335,39.63270820277428,42.197744009420525,39.853797491442876,36.393755692992535,37.875644370575486,39.596553799689666,34.986826624659905,33.12111321826027,36.642052203757785,36.88581876452356,31.117336684534536,32.335672721683984,34.48534154022884,30.761560857913235,28.331845147381607,32.26055278435008,33.58444489093241,37.28139756192336,39.47700138885287,39.56989978042493,42.02536200747617,47.038301402394204,49.23372712146704,52.2110542575106,53.01194610888977,51.557425988515206,53.75031102231522,51.15033433119403,55.571946250083926,54.83474522655038,48.95727277111663,51.519345998960226,55.31218157111879,51.50318332432591,49.19735195757803,52.43950455773633,52.92288232224475,48.74490218253414,47.71501921391715,44.35268112891216,45.69155049286037,48.45446815595881,46.994908540293274,48.18557474519059,49.924863302971055,46.909166694779174,44.12457540977505,45.31535251647369,44.56635908493076,40.332009658028014,39.932107224584435,40.569872520098144,37.81926059256182,35.8919041077508,40.30633646003604,39.29383537579809,34.60056601645549,37.25808702030432,41.16127248804931,41.320927233921815,44.48274176832267,44.05063593013069,48.13006170447443,46.44833164338632,41.550877675621514,45.659613395329,47.25747970421303,44.056719462769706,43.39396449138533,49.30453131973124,47.99928875606572,43.146581111052605,45.92595448400342,50.42354368381699,48.1044904261165,44.49595028473796,39.69376672539853,43.350484762546884,38.882928225428756,39.21699402663072,34.06391100457714,34.20298018567526,29.36942526532361,29.49617975407097,31.811588550940616,35.08775827507378,35.956452366301946,37.26143379241957,33.28117585825141,36.109922268764166,31.610123601768656,30.20505547979901,33.224724963509125,34.75561273446874,33.19055591921718,29.36203081515561,29.924337571001445,30.242592356321705,26.431285563236706,24.457119074370798,27.133595222625807,26.874244827468658,25.22210130068156,26.970145627695636,28.166136431121878],[26.036370348153945,27.27906934745094,30.103128433811616,26.140675045501112,30.899535175780905,27.174358938705545,28.06966956126099,30.278207234198867,26.496930181107114,27.332189249236198,27.433671855537426,30.237137401133815,32.0549395394092,28.248716262517984,31.908754082591226,34.90429765944201,34.479247756982325,37.544025864664754,39.12001372262622,42.94912094586876,45.426515190610495,49.90289075789477,49.67872375546176,49.36667183643739,47.13911514526034,42.83440723848335,42.450829395744684,38.76162810933735,39.183639984700626,39.10411401736789,39.08979072387248,40.40713610770461,42.32209158785856,45.727125328200195,45.07601679209348,43.64087085897163,44.19588099766771,45.02800429938371,45.700649964020684,52.11617968820055,48.5649290446228,47.80387884383175,52.25354918624004,52.38903576112899,53.99666176752463,54.291507597808675,58.27087095453062,56.85480165830457,54.1417643775788,58.97265586392051,60.99645480013781,61.27835859999418,62.060563413835354,56.59027471955342,60.54872521516815,61.765753821914686,57.29361142665384,56.7102663225386,61.0053985870873,60.48829433598764,56.32806194007838,56.512152194447694,54.21643702773362,54.84907794947869,53.23317147445883,50.18704319286788,45.71356475259189,42.83115775329171,38.99250831497952,36.10916195042951,34.554575264530975,34.8630650088701,37.77125591160986,42.12282566156725,42.42216314616581,48.12808721755771,49.038452397636256,51.51737719587749,51.96188403183341,54.26308602286137,53.17992819167748,53.988946820976444,52.33155916246556,53.96487555646757,51.20595604726746,48.606149689067955,49.16762594321079,49.38109280340373,47.68112501854054,49.364113777355094,45.85558812531025,46.88310120035201,43.34378979947011,41.6565437896746,37.554047905871926,35.98764807554374,32.3776795270217,37.01564282374606,35.568100223694806,37.34756184069683,40.663845996142676,41.58762991320617,43.966506724412746,43.64705867390982,47.92168649694211,44.057172646288166,47.29559801480577,47.257707621478076,43.451509584431804,42.43172202532748,37.779748830004955,37.49010348672265,33.03427973913964,33.61906618048447,31.651896314436414,32.086824835592,33.97291801505131,34.61764763393497,36.4591439414142,34.79717074439896,31.51960394755279,29.35753244399756,28.650381907214452,28.290610914733243,27.654569110657967,32.05884012223048,32.438194308408974,36.35880996503643,39.449462361735186,43.71078396624301,44.071592311434,48.331544548870895,49.024206028231106,49.20271923251977,45.47821552875199,41.332418225703755,39.6774955467854,37.52994979369377,35.21926297648141,37.364528403406325,37.969492792611916,42.317538681144285,39.718350064366724,38.71848040433723,41.96139496667189,39.88118864342381,37.4386995988868,36.52651843966479,37.1417854841676,33.67177079705073,35.73201088256022,33.01623046272346,37.20467350820556,33.897991431019825,34.27789752696838,37.067101633364096,35.83864473952357,38.34065444183773,38.57890330632987,40.50034445503606,40.98134363949538,42.26617011493311,41.178538682944925,45.493153299786826,46.896842327290365,44.837529965892614,47.81482503031847,49.39471343604045,47.10535255663417,43.382172481270494,44.00696832286591,41.86430693389321,45.25034644535071,45.94103273337876,46.17986690114508,46.79169098489046,44.09341825033779,49.44049008344264,49.73773396770541,51.161075452221,50.04676926343899,47.072440306914196,51.84560016703555,54.35206891986538,51.526645169416426,53.908949886584885,52.07276450290873,56.93667344304083,53.455582161827905,56.15243503802627,56.04843882194661,53.998241136264205,53.54320086888954,51.73484602604831,52.2565817953032,52.593537342343595,47.83113183076919,49.14820956074395,46.43359101082938,44.658061944833165,47.07212247583809,44.93404536761676,41.448300790607,42.55141599927531,44.32060578075073,39.81972686191292,37.556203989974755,40.974077348507684,41.42724840045986,35.541779670675744,36.375141576487565,38.46662609102802,34.94709672526805,32.10598913378015,35.67722738750342,37.07689221968725,40.73432158867942,42.790476012435064,43.32934317659052,45.76312421235259,50.85209000533582,52.93505921092993,56.093162628197234,57.227023673722144,55.988726312423225,58.39172987926492,56.021577209485706,60.39333355044333,59.39436879730745,53.59167320560894,56.35421491059269,59.934035090849974,55.953529335053766,53.83283570204374,57.15062795432375,57.26169078565995,53.011123562786025,52.29937293664764,48.9662215207204,50.71212563417116,53.48226174946397,51.99894956008763,53.39149262863769,55.08766677370281,52.25458273357793,49.344236263494025,50.35615324088559,49.77138763575943,45.60420868724838,44.92662443496529,45.500109977923366,42.78310077345961,40.693173659754855,44.90924139549097,43.84130596740627,39.07000869103199,41.4987504710485,45.336018690870816,45.53467864465782,48.91542216277517,48.7476063456393,52.72864521903337,50.70788481508019,45.920159150881254,50.20002269454859,51.47344471627827,48.14309040729591,47.718838142477246,53.5237598615053,51.822901283690946,47.04030059593135,50.05675659448363,54.313269423228284,51.6518692857812,48.06580900984212,43.23514109266065,46.449259705007364,41.814533462229456,42.19866255698155,37.24884310706542,37.94076123061009,33.3157750646926,32.92216151122583,35.468989004245515,38.53407254243938,39.79817096811183,41.46000848222902,37.85519209248894,40.96256533129276,36.6235923922142,35.18180875308481,38.52013547220485,39.966540651471064,38.62721313054623,34.70541435195323,34.94297723977031,35.37952854289781,31.881272626644567,29.53253573885621,31.90700225665066,31.825705485323706,30.40445218198075,32.24222142427978,33.45557022178646],[22.169165421933965,23.839300214866924,27.007854193324828,23.9276111527021,29.167497326945945,25.324924679238414,26.943862300438568,29.11269199359719,25.877311486307054,27.5610907788537,27.97609556549207,30.357100121534607,32.55851974950136,29.31335697108909,33.1902342883487,35.943443681413115,35.71773952478992,39.2335414847551,41.27453341022805,44.76375738947052,47.584653890340434,51.92412091584825,51.973877978405895,51.6435571004655,49.11831906652358,44.88354079854049,44.04157841712814,40.17472398255833,40.469659012793116,39.98485239786642,40.57178357687912,41.15558758006632,43.212052821764594,46.979903891609666,46.14981973558602,44.94712596652164,44.95118204837981,46.16312787820908,46.71388463871392,53.012248818833726,49.779801117481675,49.3831356257827,53.827471113850656,53.89646858648872,55.791771856781025,56.023329011522364,60.02343443064765,58.39231505908089,55.44190494288763,60.25887781925351,62.206241746948265,62.27599686658074,63.13314719601337,57.56965575163411,61.39655066307417,63.02622752826499,58.67788685120025,58.03718531067644,62.45815010879934,62.113990962714986,58.19059799854033,58.50755655666617,56.1427272470193,57.18725192928895,55.45244060177863,52.12563440384341,48.07505580348649,44.94680629820906,41.46911576730587,38.43220193628133,37.18163898018353,37.908801971242234,40.466474797983594,44.85493067117777,44.6581994853657,50.46253793294562,51.028509635646735,53.34418028826799,53.54962750981285,55.74017675479645,54.2160001773617,54.835817597537826,52.74154348338157,54.26786085769727,51.692439344458116,49.24395910995053,50.27631782874895,50.249547113773566,49.12564157156006,50.76564349509059,47.57571819490981,48.91834859845913,45.21791567667677,43.169847624766966,38.917683993192114,37.50179556140564,33.73845287146538,37.769480543186205,35.856803519239584,36.947279729195756,40.68509572127654,40.87911167650969,43.7449672905599,42.826079036164224,47.11840520083273,42.98618765345122,45.84656667113787,45.734411669785146,41.69742244362219,40.820602862574944,36.19966214580559,36.59528119599523,32.307870221749916,33.429877493760834,32.133136461301305,32.86113642580014,35.21775359328772,36.12652960766045,38.60062379538313,36.65139140797641,33.434148061329736,30.852034918792363,29.940312190371696,28.967187731198504,27.638488413340525,31.7646113971281,31.23066065031503,35.37107262521646,38.15470545469831,42.60298337181851,42.735628426420156,46.872656901977564,47.99949355068663,48.23949067578315,44.746486679983185,40.78077454478296,38.80346425124871,37.26546692703564,35.42708190860371,37.85376987485894,39.06754600174599,43.6665028729005,41.16829790595095,39.75640683719946,43.008034506001536,40.77411535124039,38.1230210900006,36.853986737585565,36.948280826405224,33.23946428024918,34.68317284957321,31.95939191162621,35.79197700084458,32.26068324794099,33.34200618533321,36.279730737449555,35.432081682138204,37.58124741990653,38.45472674023343,39.91734658353436,40.822829962329735,42.673032119224516,41.62838891988504,46.028584989051545,47.2335084923365,45.23595230172996,47.78743534759324,49.4276421306252,46.77202185402055,43.27042730484699,43.69481569560711,41.82689593717486,45.22504937830085,45.88837476143124,46.22389153872262,46.5894015428228,44.222091189319386,49.37569809442487,49.88038074107265,50.975570337928396,49.994506832437864,46.51795544352174,51.2825399770505,53.88721811830898,51.28586618817208,54.13922079538493,52.685111487728776,57.529703512175566,54.33227696490673,56.62176804172177,56.32022371662515,54.04932550192254,53.22392975944812,51.12450249186677,51.33440773403781,51.332007854223974,46.468789489744836,47.41611766744153,44.36756329942534,42.581568553363894,44.519289350550714,42.34709561942405,39.0632054043973,39.846672486774864,41.28264181726272,36.83173053175888,34.66675076356489,37.694547041857724,37.911843083310345,32.123403088726846,32.778579968935034,34.566594798341306,31.072686919003566,28.251892929209557,31.570786646839128,33.24564054734239,36.59470632672554,39.15216260409093,39.71278909158719,41.8813522419155,47.079753881710204,48.88174606248865,52.29376672593614,53.50776269732311,52.53444364114031,55.08631030481968,52.982040636244314,57.430294200229255,56.25108460249503,50.652787215538574,53.65257766122237,57.19719352046241,53.198405871236055,51.323251935856064,54.870569745916086,54.833140346307445,50.556695646965615,50.33435242842853,46.612286113784606,48.58924155199236,51.11791074622307,49.26948735088376,50.76348810217633,52.15306324948029,49.64034467627904,46.717014280628106,47.244175889015445,46.771623778322464,42.82525353819893,41.80197338937773,42.109388708661754,39.41527340981578,37.249392886525506,41.19133552597084,39.989837751191935,35.19022694802394,37.50082883023664,41.23842969284123,41.596960011300595,45.142191588648956,45.30218253776797,49.242731078234584,46.94210508611379,42.411965938812095,46.924071457246434,47.99182066797748,44.642622931583304,44.640219682539716,50.335298020681954,48.46391874737255,43.931039114638494,47.254997554504726,51.29779406905285,48.53902823504234,45.128321724000244,40.33714423356795,43.536225715662596,38.963839405870196,38.85061748292101,34.09256260054489,34.752445941173804,30.15006775766843,29.990398266676532,32.815044256565834,36.008616234272566,37.49519958235693,38.904866081323455,35.65638881066442,38.935640884064185,34.90359758709947,32.802123265842795,36.20354380801868,37.250353273054834,36.21517080107283,32.380118172458,31.96278647337445,32.34098888403886,29.5176096686234,26.69602948289223,28.432355371539536,28.528225492157098,27.50478891513633,29.56920970748694,30.997285568714428],[23.203182821967435,24.622938669583718,27.756171798585253,24.278787909061542,29.619358966136527,26.487931883358456,28.17004652473344,30.778525509862902,27.67828657051529,29.101625750100506,29.810772675924195,32.482485033958206,34.19090887937622,30.799678805769215,34.928305565068726,37.64715750231112,37.001194568924426,40.47818491452421,42.14791176719384,45.73000302604236,48.38282635868533,52.70195034303209,52.55944542295019,52.00028885245434,49.57501060965722,45.402215813393546,44.702475016267925,40.99350506389381,41.65323919978026,41.47731045282577,42.29583642231656,43.0366389912293,45.30956250476376,48.944543544450525,47.919793247407,46.4426692969343,46.512815365760154,47.2947158191285,47.63660647934709,53.90878822631051,50.35242701682751,50.14366989569219,54.602585681135615,54.41012602416283,56.12623490935838,56.12318607366777,60.18482054261167,58.79853398141053,55.67088126301844,60.384407854863966,62.59902017655473,62.73817559934179,63.788453446465006,58.289885656236834,62.34425423543984,63.90691223384092,59.49821463367241,59.14778285001357,63.54575761919344,62.91513816523028,59.05991635021613,59.602618647023206,57.43065148587663,58.282992385874685,56.37800579574468,53.212523267837,49.08608770171852,46.17491905264007,42.51186272609852,39.75583173289338,38.28324124698248,39.01025089902248,41.825002002421805,46.05304679128911,46.12411759720168,52.017017675211186,52.46213937875437,55.01526445517282,55.09684143827371,57.11638137291979,55.70613413129881,56.107296272065774,54.19090211704062,55.474134898807826,52.70786113778379,50.4816244005606,51.50013931860157,51.807542007514684,50.54879077999627,52.53770306362828,49.28588413578353,50.72760512876963,47.13046402167066,45.237525150832454,40.91298294237678,39.669028871948804,35.80492409427576,39.967536499842915,38.07845153810598,39.41567074239827,42.81258376712601,42.95395744455907,45.569996706812205,44.52268948273266,48.507943476285114,44.27094264783316,47.112288461533616,46.70450789422648,42.62369757444524,42.05095055206993,37.33456847823409,37.68342722256068,33.51391291543348,34.31000088997057,33.15390144085076,33.496347167573624,35.93570556018678,36.4296422162419,39.077810592653776,37.5300343768448,34.179232563189636,31.728478476797157,30.35671077245338,29.571771910934633,28.461582494292504,32.30976687837811,32.101457389120135,36.07127913596916,38.84961332273999,43.437559604647966,43.17451504811359,47.441105430229335,48.41312998047986,48.99641213738398,45.18431671717431,41.29507263603917,38.937026989716855,37.41920287377479,35.4512900230825,38.080282148244365,38.940072565882225,43.6588014415666,41.42494978847631,40.154378837986705,43.5806207892811,41.66889279058866,38.94997600106099,38.02332672768036,38.21585258491543,34.72700254704914,36.33592055487962,33.98327017589236,38.007888234996955,34.81416427525154,35.87023491582534,38.56445660668479,37.4596348327682,39.43815376916415,40.16322477696919,41.34012763207145,41.8237294372344,43.76018454474754,42.25309218005681,46.74451262196122,47.61773710271686,45.22620902399469,47.860625155911876,49.19909407183277,46.52586699276124,43.076354890032924,43.75085036176826,42.06478310011474,45.76208131714427,46.70222960756455,47.289297334189584,47.92178145305457,45.701125309429884,50.95278709547816,51.1368700829808,52.226421597588015,50.87290689311919,47.542164560518884,52.0718284935519,54.50574409387044,51.82817204702707,54.74269713536483,53.33363355134641,58.05081489816419,54.555627144849836,56.8162391634968,56.35798094721009,54.26044119044501,53.319497863867745,51.25892345028565,51.50776858963588,51.43094703956566,46.57826701577422,47.680751448503706,44.60246023518176,43.16026232120989,45.08961394143986,43.23894485202503,39.834183772970626,40.28998687498886,41.97593830019665,37.688539332533686,34.996076105600245,38.12393557114097,38.8195588009536,32.85758398359727,33.204109285332386,35.20295548442892,32.02618617268871,28.721256799117317,31.87546546244532,33.32948723728389,36.89680577723319,38.87158694089821,39.7892128800528,42.14023841587122,47.27349596262695,49.230019965942844,52.543060307312125,54.04195196820015,53.0958432595351,55.77899624014333,53.79820808539625,58.09572106975051,56.71241096763901,51.100043559811596,54.197959158125336,57.493988030800445,53.33641980856861,51.55817399823663,55.08995662962414,54.72528193679878,50.409036014044894,50.34733532370176,46.78974536024725,49.14458865314674,51.76514311592185,50.08543531259089,51.839231088452046,53.413825682423564,51.02298499851565,47.84365763742799,48.47534791046971,48.29950409921635,44.26255514839366,43.00756041255572,43.583391169644145,41.02803789381086,38.55788057444907,42.466353467409355,41.503272480009095,36.68619302433126,38.62698643904234,42.37523438580404,42.5012290111669,46.115245934400534,46.290679359195664,50.08226589269165,47.62869987654563,43.02170053143168,47.512078562823,48.353312605040486,44.905515452651514,44.86726827411048,50.48483847614474,48.35709002267744,43.772009838672176,47.13781756730103,51.04812352831108,48.07287977222976,44.617509475498686,39.81796871469124,42.68723302766684,38.006269413888106,38.158081407373146,33.48381799440179,34.58406384374845,30.216857250354455,29.50717892278714,32.35755787694957,35.31169023883286,37.019049673543044,38.80568634804335,35.82071362534817,39.31570953002045,35.42407842373355,33.53194832808326,37.3542317837089,38.534926020553335,37.80586297146903,33.68243936401223,33.20579594435985,34.00502490150215,31.24266464447901,28.022652447255194,29.994167556391776,30.517494294411346,29.625797348323406,31.829578173322684,33.34222266282424],[18.14953553988953,19.869849917524732,23.27918487158627,20.81603676593439,26.549665788223308,23.59596977517536,26.058202870152257,28.69962851521147,26.394438651502114,28.609321063080294,29.77166657870905,32.019833986436886,33.88423116280657,31.182888746588652,35.54913471763798,37.90788854576904,37.35477608372037,41.2873832954075,43.39243920241403,46.533075767855884,49.53383802890839,53.63471257828682,53.79711147107791,53.18745727375305,50.43301919336859,46.405004922804025,45.185887048644645,41.35529908420561,41.944117412424525,41.394910779705825,43.00447878800208,42.933457730799994,45.44945960454084,49.40005737902632,48.07868443862275,46.787432669986245,46.22871281892871,47.30729509005588,47.44708363318104,53.50150709408491,50.29981348307758,50.561950918492805,54.97092646327994,54.65516073990794,56.67870828355533,56.57732038904727,60.63577895630059,59.02490276345797,55.62225425791916,60.270112114239126,62.40312114658306,62.2993736166639,63.46042767219571,57.90440076583843,61.8205150101352,63.845275854424635,59.60586534028304,59.26160244889589,63.77121260111821,63.28584241505367,59.76563665821096,60.52874128165443,58.34828352457122,59.64575094116838,57.55936317331127,54.11486066020595,50.53267134550192,47.41404855132108,44.188987250226994,41.37011010475739,40.22259898589363,41.466053285479695,43.88901675235933,48.05657995251386,47.59775089931145,53.595302438373054,53.54933570160261,55.97300897426681,55.70547408115526,57.50662194444517,55.61923680381844,55.71900609683876,53.3693120357318,54.43889604622594,51.862300707471675,49.89861325581963,51.4561443419525,51.587614452060045,50.982545344256586,53.03944960098503,50.185472141392815,52.0556539937628,48.34835842846585,46.116885058179804,41.6342217704099,40.69556730575036,36.662899083308204,40.09429866848474,37.716126922210705,38.395577200973214,41.994512594665146,41.282648294427545,44.27986195213798,42.52097705037649,46.35247348549037,41.84394236861994,44.22425960329478,43.65737198609064,39.368341496802834,39.047493094160146,34.42026557368014,35.513682812083175,31.671766830504772,32.969699380808315,32.65177712786726,33.24031025044226,36.181617275110035,36.91354797937998,40.283860770676206,38.492879846809856,35.25831037657427,32.406105468800384,30.760481572668844,29.319859818418646,27.496561394204836,30.83517160588892,29.655680394412855,33.73364936800603,36.108163983759844,40.859026166487986,40.269833786957314,44.36760295003959,45.7828625432844,46.48692330784984,42.926762617545215,39.314643952588355,36.58229262082126,35.795962831318235,34.4103907902275,37.324162127011476,38.85727392464408,43.79595313608488,41.73599616269958,40.017935111098396,43.41937400504175,41.422454214021215,38.49665758241472,37.26212345141876,36.883144576322096,33.282715539331576,34.22290614308614,32.100000145476834,35.74228910599258,32.619172622522285,34.38276352139702,37.01193880842198,36.21324801205541,37.669028777975676,39.02900559899639,39.555066366762475,40.383613473535206,42.960105651220005,41.426155853096034,45.964008929030925,46.541236907325846,44.21880794831125,46.329340395697436,47.708230288831075,44.64834202681159,41.50381890302555,41.94987788993519,40.623083558850496,44.315727314223444,45.26233033732309,46.01184786934439,46.431920667886494,44.67107646872203,49.66653468212136,49.976802956928495,50.677548900273194,49.39383983815612,45.569423857452904,49.979411748130005,52.466293659498014,50.058445342923164,53.49123713261492,52.549426126035684,57.176337317008866,54.00872212671824,55.77059050020709,55.0760528903982,52.758701756052545,51.39459557989588,49.029592344534265,48.93094580273821,48.47431488867737,43.56320641563293,44.265171660952646,40.8580694041993,39.472865373675496,40.8799475564929,39.08467880634602,35.90255375526663,35.95105967440459,37.33185025516861,33.182083468637174,30.51114141483079,33.22646849147483,33.80224589311088,27.9495311854111,28.047524857090355,29.799172262948645,26.76708606362933,23.379454632888702,26.25869466276451,27.911390871725047,31.233846002997417,33.59114294728217,34.52484630961111,36.65471710744085,41.85559637926206,43.60855989330199,47.09517030715061,48.68383270234878,47.96818021368268,50.79606339685483,49.09579426819833,53.41372962940382,51.83524162457128,46.44143636251394,49.76665674177085,52.97868126156364,48.810698959412065,47.29479854801563,51.036286148737055,50.505502808274336,46.18782059344413,46.63775928427303,42.71530244490024,45.341402333895296,47.70592019801378,45.70715519552466,47.61558738963475,48.93838237393012,46.91987546242174,43.66962704502526,43.85816496433154,43.90353061663884,40.082885966602944,38.41581107383931,38.84378366727617,36.39939616374812,33.75049316350654,37.365852709890795,36.4065278749681,31.603031751207002,33.26687698372754,36.920458855448906,37.091505362382264,40.84022956867056,41.30345475533805,44.997604106938745,42.28117375014678,37.905829610641334,42.577755343549406,43.19380921853261,39.73483288418448,40.0854654446404,45.56141674194851,43.28008160448026,38.94745967911364,42.591239341627606,46.27688501238754,43.236549188470384,39.96655197799386,35.237571665580035,38.11678920969673,33.54689986022216,33.17986659782453,28.707060469412777,29.7501492056253,25.474295300576674,24.998679961034252,28.104007033137975,31.170127688062134,33.07903549418652,34.58011498183887,32.04135789183499,35.699641621213935,32.23770721374571,29.70116916876741,33.64265702525812,34.432174541380355,34.15737471898509,30.0898409472182,28.906981691795448,29.823224722249993,27.858802218080736,24.037245316810033,25.414913363022976,26.35313017192253,25.971078586581296,28.450437261502145,30.209393689824775],[18.75848778294418,19.444699723608338,22.28273484171658,18.26828019305295,23.676693605343168,21.623404934757744,23.602663184162097,26.890691875542558,24.4838890249049,25.931903628074483,27.470007280982603,30.31035432819299,31.223406185862142,28.212482039540284,32.91090317552131,35.216179644853696,33.99748546900214,37.802800201313396,39.38161644702967,42.627618192302535,45.390121178928034,49.45245844883957,49.3839278230671,48.52575585287634,45.89566010563187,41.94706221536165,40.93236780399828,37.32993002832136,38.40989859387366,38.38196461109586,40.26094898564325,40.556077625333025,43.410142223040275,47.04873866078526,45.4269835896903,43.67476540908251,43.32947407283093,43.70944538608096,43.61187192086146,49.659271140884506,46.00735567019091,46.411313491629095,50.82758826668831,50.232296045306974,52.02073197200786,51.707005484375195,55.81628417243047,54.480519573164706,50.96070543962538,55.520508433915346,57.924780330960274,57.95429099023687,59.291889346016106,53.83450390634645,58.051577306505976,59.87808225244567,55.54543916875476,55.57038536570133,60.01793925201154,59.15377492312518,55.690428457752546,56.7349635111934,54.83154552461467,55.85619748702354,53.54470491928026,50.3288257533579,46.669258787041855,43.86095104148429,40.428630033490826,38.03238891912999,36.61639731506799,37.96662210344833,40.65634769992337,44.53676343916703,44.41657411791587,50.53446449721002,50.265313102828884,53.055134278067506,52.60128580644634,54.15332530556809,52.517214399068706,52.36092812730512,50.40381525722225,51.18922935768727,48.30264169565134,46.56960023300634,47.975686044176875,48.63758012107266,47.724940549706766,50.32354735380702,47.36356707707071,49.41025889684364,45.902881145309905,43.965016935280175,39.382967649317386,38.786924873410165,34.59557672823701,38.299288564127586,36.08915064292648,37.488022946598,40.26374311632222,39.80905162741218,42.146498732666984,40.522127806350795,43.91735567295676,39.447603344946735,42.090848524607885,41.235787895241,37.08562468442463,36.994710637032995,32.21162924366514,32.74022213422706,28.93824102573798,29.536265116676834,29.132236962063118,29.15738119083864,32.08488158279618,32.30701483562707,35.81322928929756,34.524638809081665,31.15031411781768,28.509884271743168,26.33921895260157,25.24097062797476,23.918137882666652,27.061830831565477,26.821229038733275,30.56676147946485,33.17653063151127,37.95408734024954,37.13883317147753,41.48017416324918,42.41157575836054,43.412029112741834,39.35888991876459,35.690830342175076,32.79828612580175,31.638421912949212,29.89367707549534,32.89355259010011,33.916393890950836,38.90495371714828,37.07568795231816,35.59162558886179,39.17516490573996,37.59696231916498,34.654203623221534,33.974102096579244,33.944815712329124,30.77311163365814,32.31090448878192,30.773288722637194,34.97456518694988,32.65245613921524,33.88698614402041,35.95772816604509,34.51734150674723,35.88095339291849,36.68476133372545,37.02955383503315,37.0874331342662,39.52583546918368,37.42857643133079,42.03740251842703,42.34671755060967,39.63245334256187,42.02617714270697,43.142846522446874,40.26406814972554,37.008040524629266,37.77011323650898,36.447413370144446,40.43931201159434,41.69952144368086,42.699647429108,43.57861211556805,41.86820479883782,47.082069383986564,46.86109729280098,47.70993348072694,45.90909356178009,42.52373278277559,46.68260001885574,48.93756787520999,46.31580002153984,49.57750183141676,48.523201026031145,53.028335421830505,49.466514161637335,51.362734406730894,50.62378994704461,48.55702810006348,47.296280990013706,45.13722479959781,45.2887179466236,45.0344370088154,40.189539222187015,41.350580326639204,38.231327003243344,37.14613559409684,39.070770700242775,37.61765883901261,34.074121144712535,34.19700610492738,36.23161289046724,32.16334626384863,28.880926753886897,32.241672791861546,33.59508058188167,27.43213539901346,27.568777344944717,30.01847926865624,27.23492448304605,23.422774058918144,26.689536632596116,27.654783402610498,31.695305919016295,32.81162337183572,33.854931767778496,36.55768823356192,41.51566225299154,43.87450787099621,46.824930336234644,48.46935490953494,47.35894335590266,50.07947096132555,48.12817080792917,52.21652641052998,50.70670232979489,45.01972428952809,48.13694138837128,51.20443549799105,46.93684343130975,45.18613712779277,48.67188647189498,48.09021711447369,43.76269729698213,43.774473849357115,40.36786497163831,43.06471090051859,45.77577464958926,44.34616518126381,46.40727900729879,48.304550929527004,46.04999065163548,42.50950675021778,43.41340599818901,43.675485549134315,39.46466333746575,37.95633206669671,39.07695146105493,36.782508750551486,33.86528808845083,37.863974839726815,37.42207778584576,32.66752522865469,34.102205767031975,37.9387911836668,37.58159450126918,41.10180437691573,41.0637126533063,44.6733603299784,42.26903692084359,37.4174208933235,41.724829654162214,42.47684903654271,38.97993382398965,38.67618501004266,44.26999600870984,42.10148882012544,37.3532663021494,40.60232271347115,44.530220524074544,41.54110704075238,37.983718689491056,33.16919628421308,36.01944751620699,31.31256242019568,31.794448674899456,26.97794837798469,28.236899025699454,24.03688214847623,22.913136390210468,25.646589526083257,28.48008572755194,30.207986189393765,32.23901752751051,29.441394434408327,33.122009364246495,29.467782188321124,27.79620887828122,32.14641082386937,33.54608665471986,33.32277432364545,28.77846960259231,28.29424772161249,29.82896916425041,27.159748671168487,23.33970656156009,25.90946313147326,27.196374469931637,26.50537301319893,28.96368712202173,30.68167822216888],[19.57810826995525,20.69823057514678,23.874470195469883,21.00164293972716,26.740888974126694,25.216402347160148,27.830065833181067,31.117590494628793,29.240052374688368,31.133887951481857,32.81153215670749,35.382440917305,36.473741740999905,33.75287026567726,38.48295796019352,40.672536072449056,39.49231802519547,43.4262381689599,45.04463038019266,48.16992931356924,50.97339318166273,54.94120224618192,54.886394851370895,53.899418234193185,51.23042775144624,47.38883925788644,46.25899641010461,42.698466970718094,43.84193834357091,43.698529594417884,45.84986861423465,45.83617638785179,48.731563619945014,52.51277022581493,50.81628917760162,49.142470761571865,48.53893053407036,48.9849121456951,48.729621281393115,54.620384200529045,51.01774974842415,51.71856769031571,56.096032904225666,55.32139430556261,57.127685314397645,56.61670960274514,60.74178873053198,59.47382046955285,55.726060552145626,60.14816528525189,62.68347894151973,62.622617538195705,64.12532317088272,58.69982707797713,62.925787889487374,64.95442655214022,60.693548055425474,60.82927383185916,65.30233174555396,64.39232217953477,61.105489940160965,62.2946010376405,60.4347185591571,61.54418739943931,59.145565177985844,55.90241755765661,52.38655242043362,49.57836122032389,46.21995594969634,43.846690562107064,42.464239555882486,43.84415556304256,46.521184489605396,50.387402871379045,50.19848612590215,56.32537313617549,55.94897930549486,58.701809549335856,58.142143060438045,59.59398257708599,57.779689937380375,57.44184468858059,55.2970654070194,55.89855155329518,53.07638865426775,51.56731115412886,53.22800073838802,53.858429839700634,53.20733081537994,55.82807353891806,52.99845846893633,55.1290219742524,51.57764022833316,49.520936405937,44.920899377468835,44.329244446558995,40.13802818595847,43.581325993229186,41.166711062313,42.11324568966859,45.15129645394083,44.194851246277416,46.81409361578497,44.71569252099662,47.940585467527185,43.25964887839673,45.473106933000146,44.36573930633703,40.026607859340686,40.298524677169944,35.62008098070447,36.76706809102574,33.28788889359885,34.126223371778195,34.25192301919177,34.269800656583485,37.41866258253862,37.54244203806349,41.34579789274292,40.140776907598394,36.788472615823736,34.08760018664578,31.688643359046868,30.405401102659763,28.80907136833616,31.45214663677634,30.626521353977402,34.32310890267791,36.53855611741136,41.48055216840241,40.13055843813906,44.3535375517013,45.58546627643314,46.90704271362838,42.9061149102421,39.55622216053685,36.112334315598474,35.581496725749325,34.17505900633472,37.452721113423955,38.572705850513884,43.699384350414995,42.153535673183875,40.56087752117925,44.188558844658175,42.7217136575064,39.677939830094594,38.9443898579822,38.59888283394488,35.41057547822758,36.47081453695401,35.051958499111564,38.87930584952377,36.39441480110524,38.18126617015019,40.35607896590235,39.203332745158846,40.255599237267575,41.476338011479974,41.38183353473739,41.56867248535852,44.407815490785396,42.125801885717415,46.76408695709815,46.698249611648436,43.76241528297588,45.83307230787961,46.69126531347434,43.52239204987332,40.60215652352043,41.407218986467214,40.5154985080815,44.65917768858477,46.061303311245155,47.26379856291066,48.07392188795771,46.68597765398094,51.72900832000182,51.53076683258757,52.120580965573794,50.24115425661327,46.58829174477933,50.51422620334759,52.6960559786952,50.2531559709667,53.89238238612762,53.163322727131245,57.509021238786445,53.96808550879613,55.521976505737136,54.502029965459606,52.434676993280576,50.768969156329916,48.41226267963478,48.28965544967786,47.60979422470415,42.76220209016866,43.63343051745681,40.145180786972865,39.41743302701717,40.6794009866701,39.512101295502696,36.21546229846295,35.58267613332722,37.34704031917397,33.618045644689566,30.03003900571244,32.79710982220243,34.253617530811084,28.257441981723286,27.722102893923136,29.812413652555826,27.518780644638394,23.30871181861418,25.72735154596365,26.891063659092055,30.54955888516678,31.746399411152296,33.34706927732057,35.7699242741847,40.76925669819496,42.78743893456928,46.0467996649971,48.150724149712005,47.51156547509458,50.56502699995035,49.14665490236475,53.14675847405815,51.18471376656756,45.85723469728538,49.3608686872853,52.077350683648454,47.66095288771562,46.38658600184788,50.10363497395208,48.95786401860002,44.60919325636159,45.458034884538705,41.798592824282515,45.12953437914277,47.57665750708173,45.85064373290491,48.231064629764006,49.8354232963377,48.11930925941603,44.44155199044057,44.755808567077786,45.373582536262624,41.47982741266457,39.36664408521717,40.27193908622235,38.15052637831355,34.98159233339504,38.42641588462585,37.95076006173724,33.247263918419605,34.137490696499924,37.72486831164433,37.437340434541824,41.247276153820174,41.751315909282845,45.10018743126797,42.117956784278014,37.69152993127273,42.264861148580046,42.42464429218717,38.830327055109564,39.16282062077771,44.401278927006274,41.65408642113555,37.31571162851297,41.04055373855058,44.405881609741485,40.98730157685185,37.699576699638165,33.02765870126574,35.260357460305286,30.55451201713237,30.59480545131664,26.388225035751603,28.26331060955681,24.593727871255886,23.08244081802961,26.21883351737445,28.783469904591474,31.133936586211238,33.250100348754586,31.36257666998216,35.3724551738619,32.34434811362552,30.120359302393737,34.736501924770366,35.68479238958808,36.03435130771699,31.576881388407887,30.219225857907045,31.89368440027956,30.200112122732435,25.747908604191394,27.433821393031657,29.147954078057293,29.05993912219926,31.724216921466592,33.60016945056183],[19.694270622525284,21.144467525972182,24.487610420877353,22.534485526198214,28.377411853413285,26.95482413081349,29.935531249291756,33.09071766248739,31.55137662920418,33.805508619300845,35.527639332096754,37.84042018263553,39.15425370909374,36.69389568973059,41.39885798620222,43.4957120910901,42.45567067948293,46.514163449883036,48.303369779639695,51.293902601065575,54.20607860414336,58.107658840882706,58.15077128035989,57.16041341706783,54.40356061010514,50.613259166485236,49.325702681586115,45.727195764781015,46.79195602779969,46.46282697747393,48.781034250057424,48.4734494102867,51.35832789981671,55.28064293289689,53.56371579771057,52.02796503605704,51.1998965973347,51.83495873364939,51.53511448682629,57.32190827821496,53.886426026603516,54.738433764910546,59.08490368470211,58.28112043787975,60.18653082147121,59.63390054519803,63.746948448278495,62.41304879264015,58.56915378983414,62.94019357525554,65.45093286537362,65.28959224849845,66.8339253986059,61.40325648343943,65.54568942387311,67.75684053502539,63.5741086397639,63.682732697054455,68.18764739975487,67.35606740126082,64.18092670656391,65.40472784369032,63.511515616841784,64.77135799669597,62.35628270190845,59.019880902785765,55.660153852994334,52.766951573658154,49.54380340763328,47.098160933608234,45.824846137743734,47.27590045385712,49.83871847496949,53.737170538313165,53.38211390566315,59.50010638820767,59.04647861932984,61.69880569305095,61.077539928749836,62.49943184359541,60.50340512872124,60.096623841962014,57.75017433783762,58.29797351758924,55.59331154282637,54.170249955041164,56.03007420224391,56.52740847655722,56.12834392735537,58.671265281909434,55.97414689268994,58.16972828807708,54.557879887243914,52.36270326495795,47.75937369745065,47.16439012197205,42.98566388972265,46.17209881631673,43.59543489144782,44.16568920449811,47.437824471557114,46.12926552644465,49.002004327722254,46.60570286867088,49.79785592425972,45.014618518943,46.934119498480584,45.76136855422712,41.32531099493998,41.73464287296103,37.17803084124522,38.7510484882879,35.459836791062735,36.566545348081554,37.01044050090143,37.16011635747177,40.44632536924848,40.66831608595567,44.64553236821319,43.340862147181774,40.04589732719841,37.23580431995927,34.82644805709306,33.333140755733154,31.47147929389432,33.8849614019714,32.5592411640466,36.27227312232193,38.220287578278906,43.20414190413307,41.65465962426659,45.73035800060169,47.228418976408,48.626760769537576,44.79931199603433,41.63990056656421,37.997292596108636,37.87657041779218,36.7537133214071,40.13105406437719,41.48363148856718,46.66167430425021,45.19655094963779,43.45802964031483,47.05042454415797,45.53714750772942,42.44106639892444,41.54959475549528,40.94972152452049,37.69074945708491,38.3761256939523,36.96118837189145,40.47375446826664,37.85035503546769,40.0100055464732,42.276069687365855,41.37851332908868,42.24399130128365,43.79384195236499,43.46974807357274,43.88568358534956,46.977417405156224,44.73642365190983,49.3611854279732,49.16652540948956,46.25348471791573,48.060678847602006,48.88268172264731,45.528698996604845,42.816639401647926,43.53193148487689,42.85259389179909,46.970949860433,48.360931160533475,49.6122380078789,50.28131951266399,49.07992854293235,53.964441915395156,53.886291903873655,54.29135254722805,52.49268525611309,48.601203457280896,52.44859368470986,54.64548885945195,52.36162063192959,56.24094595615708,55.72770826523629,60.012441101093586,56.61813951730986,57.93750943926146,56.78966280708396,54.64405238245066,52.74872812993535,50.24152462433463,49.91348376772392,48.977460621308204,44.13826922135649,44.7399953683198,41.029742584200804,40.40158795948187,41.21190407881389,40.11995950323966,37.054584189201066,36.047869857306566,37.51564475114617,33.98295043571706,30.432382551846977,32.726435366128925,34.05546968526933,28.299455257222775,27.433810990619612,29.165428498578148,27.125650670813133,22.890328619944253,24.73699278499752,26.122979174876278,29.370305375781886,30.882914441408403,32.69025719101008,34.81629893325703,39.8408614137375,41.547452106138564,45.04721593481494,47.34147784399712,47.01832493101377,50.236383123307114,49.1412580889062,53.125311760776924,50.941699628587635,45.88848031908044,49.602712331447236,52.17312731837642,47.74039428154646,46.755760030770396,50.62442106585602,49.24324525003551,44.918702298872645,46.2622315823841,42.372088110237534,45.95841686380467,48.17854862175237,46.19102689425584,48.683502234096665,50.01794191102191,48.63534808484074,44.966022794529344,44.842321573474955,45.60469092783701,41.97411955210383,39.53822702615521,40.20860095935799,38.18047954008451,34.955118549829386,38.00778670962235,37.44456799955996,32.82312273630106,33.441863565154954,36.82597062962609,36.66534085428941,40.62527189375493,41.49146054784991,44.6983214843963,41.392185392660394,37.315418285902595,42.05198107653725,41.89633254609781,38.29806736982281,39.08298282347493,44.08167790232489,41.065243894786065,37.06444753612516,41.073432598516014,44.093590678864174,40.50407008783238,37.45009644546949,32.922889684278125,34.880370208101496,30.289726575522533,29.866133878654157,26.105045137984213,28.15081417436675,24.787150391288105,23.317669400447862,26.657271955932487,29.132260800692276,31.758000212591124,33.72318228925847,32.34027479150301,36.44665795693419,33.79384669619747,31.14232276269299,35.749898951511824,36.34653323025489,36.98703187871535,32.703842430886745,30.80103099575795,32.43317770036411,31.385118935750906,26.67803372225085,27.70125831279964,29.579721356539853,29.865160463280326,32.607906702502184,34.55844457488452],[16.187467584895785,17.847099044114206,21.324374380981418,19.766550326455665,25.679640590602947,23.80584196264652,26.931414921890333,29.87285441115997,28.47684805408678,31.038221487905552,32.74968375206988,34.819659785715835,36.36865522115394,34.17640640001917,38.812575563924696,40.81278662956661,40.00755242872444,44.200239182088886,46.31726657141343,49.12988417888313,52.23580209436419,56.09234520885066,56.34102136980458,55.49644697272407,52.58572085742932,48.78842703213439,47.275829434134195,43.545174753075266,44.37311599992704,43.781373454508,46.193874444824964,45.594631147462685,48.44412696101109,52.49506342219055,50.79047886928576,49.44383430368979,48.42273281559516,49.371398552817844,49.15356724537962,54.910960932120986,51.77407114122153,52.60639058826148,56.931754197087415,56.28147610439497,58.38892046855352,57.99178039966781,62.06065754847204,60.489781518604346,56.719911535167,61.16171385929956,63.44952247013805,63.19210952616162,64.61799379191797,59.124481522989484,63.08495476824016,65.439290271401,61.333247386759325,61.25292879340662,65.79940364552634,65.1922106069334,62.04988590944525,63.18665843419104,61.17962279257245,62.672305278667345,60.31091274979481,56.803868783285594,53.641211397700964,50.56952577671453,47.58171058961725,44.974575470340866,43.918288560076995,45.53123496914662,47.830005084026,51.78158229935276,51.12755088639606,57.21898273609004,56.683513526646045,59.17336738024058,58.5203695731298,59.97791043914425,57.80131346409057,57.45152257717349,54.904761029221774,55.55494301969115,53.009519180898536,51.502979015836274,53.49507214923929,53.76043743686245,53.59908526743943,55.97682273064143,53.4260820978775,55.696829928562,52.01885916345574,49.6675930910169,45.06532220620619,44.50411811000247,40.33300500096037,43.23916744568803,40.53331014489251,40.85342416579363,44.277684775278736,42.79988116106707,45.862377159369274,43.38576488297243,46.72431391382868,41.948177642856656,43.8170217905108,42.81506009792902,38.360532704290684,38.601922530327265,34.09631168846409,35.834840413901865,32.53199878633659,33.946194941555866,34.49937606486286,34.94548047343501,38.300725910926154,38.85623682300061,42.89992854812602,41.28096102589691,38.10002516979437,35.11060860348832,32.91283499119364,31.137265936040986,28.9682845451765,31.452625473026753,29.706039381701633,33.57454519070021,35.47149525327265,40.40531159047695,39.10473662167875,43.08178300740204,44.76392865369914,45.91702267021155,42.35475482358747,39.165448189539354,35.75106592310087,35.72966279193587,34.81267927314286,38.099575946387034,39.87213218668698,45.01399373531486,43.38367093344291,41.43927251985524,44.9075094730817,43.160143969344965,40.05856397639921,38.88661693927388,38.10020823290495,34.69779601004772,35.15363442089418,33.62707250807573,36.98173166170547,34.29057758186098,36.59286383282303,38.90365533655057,38.17531346146049,38.99426376672478,40.7528870689101,40.4377328836338,41.17826259838918,44.35425760873246,42.40997665297441,46.987125028185915,46.97620769955976,44.38306498521635,46.03911452373385,47.13441434018274,43.728809906742235,40.999422898922525,41.46409311556841,40.69125640772648,44.591114212933526,45.786564333391105,46.903404691712986,47.36517930505306,46.17573925867387,50.95050479301513,51.08453292886566,51.417388675623705,49.87379898781615,45.78749721420833,49.78928136628828,52.127290150492385,49.937530604128824,53.86759987903402,53.40891587105725,57.776082670631915,54.668029432841585,55.92208483662144,54.86253944737736,52.53286576502545,50.66631363448121,48.075711694867806,47.671045986462985,46.75853615711228,41.876556221506085,42.31014568719187,38.57779163936349,37.65185832444748,38.453474527946,37.099140272717726,34.10561981000127,33.33976543886436,34.619442051685425,30.910251491181974,27.742592001315582,30.00291926098151,30.97161952051185,25.22987670324399,24.632984012394203,26.270107794709663,23.908182147595436,19.944850951543806,22.10748494115726,23.704256998074136,26.900076990622477,28.983300956267705,30.38455545262591,32.42091842119872,37.565799389100114,39.231162765184926,42.785349347557805,44.79688574336727,44.39122782797918,47.500431184432294,46.265655095437815,50.39968597892407,48.3974458153698,43.293118298361,46.9384377190442,49.754957296733615,45.44276252656866,44.34487704253758,48.252991913359885,47.18737759501497,42.872129979767045,44.06147754408152,39.976577429342015,43.26465163325769,45.4158462233261,43.27813923050852,45.596464092890095,46.819750941725985,45.348588397791254,41.81843068411998,41.63045883942936,42.21524786471949,38.609389545330984,36.292394002036424,36.823277097365654,34.700364029030204,31.60611828501059,34.755554970711636,34.07085946688115,29.39416884556876,30.27342273195568,33.74036903946557,33.70717274384428,37.63363744526035,38.444638571646266,41.81057171104541,38.64818918726901,34.531777304778664,39.32044281642503,39.40562869002352,35.86122416561037,36.6334939320122,41.78318605183571,39.04003242058965,35.00374443069569,38.980824233889095,42.207040374861165,38.85629263329358,35.79239290059897,31.206190257878927,33.63729159722721,29.12655202767324,28.43208999609072,24.422635782422336,25.95265864422463,22.235472718880107,21.357856345506317,24.727108674169823,27.542603584493687,29.926885011075996,31.506256710389152,29.855958522101133,33.83096305883979,31.082528951111676,28.165638854466255,32.54201233303557,33.02812073474029,33.54520753898173,29.39213481969965,27.43406588537463,28.874232351003744,27.884144803776962,23.242608274295915,24.120381471623883,25.891576814681592,26.18827471832781,28.940440285764787,30.926124388970937],[17.892781687935134,20.358467076403166,24.085852876758043,23.23556558793304,29.09980754560934,26.031005850423046,29.05922673559931,31.309077726186445,29.544800726512936,32.41854455141678,33.554614633472944,35.24994346087485,37.63614622502326,35.42404811788464,39.63468790758028,41.838395120718424,41.65330000732548,45.77439192034447,48.257318453102684,51.15662156266034,54.37413883729388,58.38142760056012,58.755202507668805,58.222360213225954,55.30630309130737,51.33337430016283,49.83330650755249,45.895861482103605,46.23758773367962,45.28939603089319,47.067647376189015,46.46979295482439,48.86696813256889,53.077972515305696,51.81097336259255,50.84949061912719,49.916043882401794,51.45299334878693,51.604106236390585,57.50741336127493,54.68280785281831,55.09956903100443,59.4544297463877,59.19803454336744,61.43297525654345,61.35786683297439,65.37749283313839,63.57778132321093,60.10412499500391,64.71835313034002,66.71129304836448,66.4380153955567,67.58160954567641,61.98773706316921,65.68458350512509,68.00940949839027,63.91166072489369,63.40622685500924,67.97048217320572,67.72322307203368,64.34040456079873,65.06273857369948,62.758373340692906,64.35284738091117,62.31011594363374,58.670960978745924,55.3556665285928,52.03873727314831,49.09233217084788,46.080874359775606,45.177349508962934,46.52047057672972,48.67430407520605,52.928708952124865,52.12487602581673,58.051009065474865,57.937888495758905,60.10413540371162,59.79609343750924,61.61795945756899,59.408547996822755,59.49653132782403,56.762591479859616,57.85509964076668,55.53978780367288,53.6181784198838,55.48513282967348,55.2740870617326,55.11500195170397,56.90136858028896,54.289126775144155,56.20937194999147,52.38452917060024,49.88583858646337,45.45645193936155,44.45323609523736,40.51478749649381,43.4475168402546,40.81070759002269,40.74946255972331,44.86479437424233,43.598720064011154,47.110952677648974,44.93273645489275,48.846243788543624,44.22739456400857,46.15150325656228,45.62603805532373,41.20394981136027,40.9518012035086,36.5637935357787,38.34966027822561,34.76613054032806,36.599906441820266,36.73275551836139,37.64162674137287,40.762307245238844,41.76540320997255,45.34003342525453,43.28068143099908,40.18200015339648,37.13755907920523,35.60098596919487,33.79347011108824,31.504536133540004,34.567563537904554,32.50121093802052,36.67178185359545,38.639513628002156,43.39750056706769,42.681627273967315,46.50149670347595,48.39406851694385,49.05892125512221,45.89923993540843,42.53659379503851,39.655438056431066,39.46506143677066,38.537491957061874,41.53806718253868,43.52850844444809,48.51474830193268,46.48261742348954,44.502224965480124,47.7918230189977,45.61209550909282,42.63450681451612,41.03825571262499,40.22378739646174,36.44021272087885,36.70064555059113,34.43959179069621,37.445174109955154,33.93888842216933,36.353917033582675,39.22983346537795,38.973428602435426,40.18445980043218,42.13697300282233,42.41038390001164,43.7688289900565,46.69952304238199,45.40327331303812,49.88580453783051,50.39874628016136,48.255179891960665,49.95418817192912,51.40224569437315,48.07366573730753,45.20029891335897,45.42010890238048,44.334089840148124,47.877215966915074,48.6943283127621,49.41496798964525,49.50228498197885,47.976285906729125,52.66852845459081,53.305517410199535,53.72171944912922,52.724845753778816,48.471985952283504,52.86654432574431,55.454021349932574,53.317784912353574,57.08645269499074,56.4493565315281,61.03801188558955,58.202936970160955,59.637117703791446,58.81863932682936,56.31141693088264,54.655577143662995,52.047406598391916,51.62681096606405,50.823515522306316,45.9112217228815,46.13781058384298,42.40664498967907,40.99489106204068,41.71443099674995,39.853473356683665,37.09362036254443,36.742481902581815,37.5200835868385,33.57054254757016,31.256891998514472,33.19233712355235,33.25482213327625,27.87484292584311,27.655562702800317,28.6916958964138,25.81605863091178,22.720687883498766,24.836005794433266,27.021468474713565,29.538122134601306,32.82790484145373,33.82471662606728,35.367713060748926,40.66258091538726,41.81845355653549,45.75804162059199,47.45527058831855,47.221480347466645,50.22987673575711,48.96036153600342,53.35187069488982,51.54972648764423,46.583019341770914,50.18019230062675,53.31541109770497,49.2106663495831,48.07719231088035,52.06189841200689,51.35481171950086,47.08915387989347,48.189428446993446,43.830017493165926,46.64714335793942,48.615646782185465,46.11125678387798,48.04830892541467,48.830036761082354,47.27456508563405,44.18105411788711,43.60065156448942,43.698954410989,40.35686868072906,38.297349075836266,38.166260939240956,35.776643296766615,33.21916567217091,36.22018102642564,34.933384420812864,30.24388886240524,31.734254891163776,35.06343724256045,35.623824897074044,39.58738070220507,40.63157425541843,44.206357715499486,41.066298920459715,37.28894962155028,42.244246219570854,42.51408781962218,39.107965667612,40.17837981768538,45.34250432171117,42.81057551023798,39.01671494861626,43.0617217567744,46.31440835686141,43.150272657063475,40.25092276323112,35.73419804920004,38.41186679111541,34.07176248958202,32.89317039210035,29.00587735974309,30.02072082613102,26.040055974545673,25.945350150374527,29.33040291044027,32.40341828081615,34.59058026269843,35.67970375428025,33.74426353834041,37.45114218246852,34.48530654644152,31.185349337412926,34.90754190273116,35.05704481134788,35.096978462766046,31.45777541786923,29.406300062365347,30.008614964042682,29.116932143737912,25.057287505855065,25.160191539152986,26.135484588831346,26.35413787595871,28.9034107086339,30.748174472270264],[17.020592752092035,19.814847175146422,23.53297572947506,23.047103489588253,28.687504206472667,24.707481075362733,27.57693352499626,29.265289132857287,27.329968861994384,30.451605417788123,31.22881660994966,32.57313375025899,35.50031598036418,33.44977605972827,37.32447823543316,39.55812710558895,39.839934577478,43.94473063281037,46.78929113065452,49.6037024254459,52.96476919712809,56.99740922918645,57.55796466227041,57.28935557409944,54.30339544237584,50.26283072874757,48.65818355446261,44.57344598194451,44.50823007660132,43.24076168456981,44.69997036701491,43.96730522886451,46.086792862128796,50.40953382860003,49.3892102571177,48.735150854908554,47.774577698228455,49.77670858373911,50.186030406813785,56.12254121206804,53.645395875031014,53.79541734502178,58.124229186246,58.18365525848698,60.58601033410282,60.793083213167925,64.7348911299075,62.679814628352545,59.45380128563155,64.18846709008055,65.87189561989398,65.54937260928222,66.44945879189724,60.798536905808376,64.23471203145073,66.58146496913498,62.54511913285451,61.702268608546184,66.27042328227654,66.34348810047446,62.855103569096656,63.296495105276534,60.7829174788348,62.55332688757108,60.7232155667131,56.9403145541728,53.682501616125045,50.15769769421497,47.405634219492015,44.11711231372543,43.44249522280894,44.74766317705571,46.628452587805675,51.02767858836542,49.966381669193716,55.75154462763265,55.80505365467856,57.70197734445978,57.56004160712827,59.58814007127496,57.29450264012513,57.664146645505916,54.76976820140503,56.16909205297764,54.06712997749102,51.86330178167756,53.690076895060926,53.107492298804004,53.054495194306966,54.42945009826544,51.87712692712397,53.6513060875338,49.74195709901354,47.10188126613237,42.796899121424346,41.602155407067194,37.82423924471079,40.59291648317791,37.96381523795982,37.62296994262313,42.11764932235845,40.96485298126239,44.74322209144389,42.784502246787085,47.081956526529524,42.632742637585935,44.633790097401544,44.505251847649085,40.176391244204545,39.50045762099302,35.233239670813056,36.988935283338996,33.24806448706125,35.414661878863306,35.31228621014638,36.6298917707602,39.593883794714266,41.02797042182579,44.32619963683497,41.86166682049577,38.92276781907397,35.7916187208017,34.784630538832836,32.84357404022579,30.389175642021364,33.80259067403628,31.46421851941446,35.81458878761702,37.83673390650409,42.38555546018635,42.21941976636199,45.896412692171715,47.909526656117386,48.124054821563284,45.33036793041656,41.841478739974484,39.49381793756205,39.165612602401474,38.31142997259633,41.028040744604056,43.33402263410395,48.140507018997795,45.79508345141121,43.7114057117087,46.79001737782823,44.25889203329473,41.3933662958498,39.43748973587059,38.55863891353051,34.5430292073382,34.64411183145569,31.921209995919416,34.68447124341226,30.75013267367508,33.183500819728984,36.350542382074664,36.39952450710052,37.83770707786576,39.92136974396449,40.58613194820772,42.415858613052656,45.169435848351334,44.423044779404215,48.777348409612365,49.71799252911199,48.03924915682468,49.71404426849742,51.52131311378396,48.28508744530755,45.30012454486295,45.25120329525032,43.89344289191374,47.068167341738274,47.54958192966222,47.9482392185921,47.736660944575,45.99871603069239,50.579286088181995,51.58635040133797,52.04862978300298,51.4963203896709,47.13632548656846,51.82588278474319,54.61207279132925,52.534798332361476,56.15118677243295,55.40245468865882,60.145327835481595,57.627394536883465,59.161282314968574,58.568781652425656,55.89006639812077,54.44384859622286,51.841255435404896,51.43136768730025,50.7927128341263,45.884454378577864,45.98653050344296,42.36602772844562,40.491349483580585,41.324238632607326,39.02177289450446,36.38577395437882,36.55899774888739,37.061123116003486,32.85822387377652,31.27648559978742,33.17158077926522,32.58318892122698,27.427302471736603,27.727182663697963,28.525820595604404,25.132398954302527,22.802183088661756,25.27109838362382,27.701947206431917,29.97738670165709,33.979460408280175,34.42829979882763,35.77895190048819,41.13228077893283,42.14563816678578,46.15107292681164,47.405921103520775,47.06493041913416,49.850919606749976,48.344033348431886,52.93322877196711,51.45934902742473,46.459314633824974,49.86650155034327,53.35558291509049,49.47371661702044,48.14499514295264,52.09898051449779,51.8711181544435,47.666245610006584,48.42706110934853,43.936191014229784,46.18994125441912,48.086762335658,45.42440614874882,46.98322367747866,47.56786226708221,45.78054135037059,43.038834531870556,42.400459593394345,42.05635284368591,38.797071974022046,37.121777088712435,36.64835767658877,34.03894690077183,31.932939268234936,35.052364239775564,33.423524231696945,28.733787963145595,30.836561207347454,34.18674863835982,35.06684820518779,38.89616735910057,39.844068131042846,43.651486483907064,40.802021933401775,37.06645005701492,41.999748802979596,42.65113478907844,39.39497396226245,40.3991696513744,45.70437150543248,43.59065699898073,39.79909730706702,43.69313117706394,47.19158995363757,44.368493554400935,41.47984725542537,36.96640635408618,40.114574629251834,35.91394245148949,34.551018745078416,30.47657718470007,30.85226279152486,26.519635283652,27.14901015842676,30.39761798007148,33.762604310787985,35.57318583400092,36.215351160790846,33.822204678084695,37.20181565553599,33.98487765990283,30.526409955070086,33.66230153964551,33.68803929912716,33.25813557724202,29.99988794587685,28.12154131558217,28.117082596706265,27.076110568478022,23.616681866089948,23.44296260006328,23.758527362289968,23.762678436623993,26.112358850124203,27.85400938766969],[19.473724566000662,22.452554237219513,26.24563723305749,26.523388278965175,32.26430230631281,28.812517302073147,32.028812721962304,33.77215306520869,32.233566877439124,35.51544762698294,36.43060040551798,37.64992697726453,40.57502341707761,38.67645181122606,42.600486066630246,44.74842316994266,44.9892835221107,49.16271959037854,51.979997586918884,54.73998384341673,58.115600531375925,62.09357330837762,62.64906830339695,62.28204345694038,59.26548137439548,55.28286361689858,53.62079906737311,49.57462073700395,49.59924075498085,48.299753211296576,49.95514973638482,49.04022116472205,51.192999874540746,55.57875684981912,54.50000326545727,53.878074544842676,52.752445485227,54.75774327941219,55.04224676091386,60.87028049754034,58.40509735454395,58.767162837973935,63.075747802256195,62.999987328589384,65.40800308840521,65.47161261734486,69.43531553608524,67.43260087303202,64.04112888576252,68.68765578204591,70.46948189600022,70.07809142522562,71.09864041090029,65.47197549845973,68.91502163681474,71.4069470200359,67.41759289921016,66.66334969123537,71.24856191426001,71.2783440132511,67.91516347331435,68.46520297023295,65.99082950276485,67.80420907427174,65.90821817258518,62.114070711618844,58.937522091592925,55.432312942857344,52.698228441694404,49.45751602925306,48.76820156045634,50.090101919641256,52.00014726479894,56.37825401131955,55.30438576828483,61.093054559518954,61.073762375455956,62.95596318918979,62.73830981357237,64.68726895494636,62.279228255260406,62.50978535601288,59.494385352112516,60.74894301472346,58.69150200122933,56.660141501636815,58.65942713679952,58.07458037295653,58.19290493790638,59.6007597080584,57.13925033333826,58.966644567554454,55.047890875211266,52.35316352805651,48.055725640679064,46.887210116023844,43.12626273093636,45.72320237544508,42.987187004723566,42.354503084210656,46.95307163541414,45.44309272534486,49.374738904489476,47.07871109761704,51.201324887311905,46.628235164365975,48.28213260505371,47.96476587717868,43.53764785582787,43.147352626563844,39.010244248928785,41.17608728915248,37.69987714828276,39.950196908125,40.19517636696819,41.43318323188736,44.54786420439463,45.85626949291198,49.37227311970463,47.01469579400865,44.053477409968124,40.904979658875185,39.666809266180806,37.66067282216284,35.106414219510675,38.16503868779134,35.53468447477154,39.788340543279226,41.52365797177275,46.15871661721101,45.59843645762418,49.1584488045266,51.386340510448505,51.835601099907336,49.088968461914526,45.83652911088465,43.10264739822209,43.185238499899306,42.5227460365104,45.44059134109548,47.763658692575405,52.692917288434266,50.5428671980179,48.40559294296159,51.541528159276794,49.116642719418955,46.17938534035705,44.24315698069538,43.17601172026118,39.212415274591166,39.01075689404292,36.464354581562525,38.91260146208211,34.96389374912958,37.76324485736863,40.92257427001547,41.15290499730341,42.33345328241444,44.6739115610562,45.000119026761126,46.86797554942939,49.89077296635103,48.97486439638322,53.3544190018005,54.019716866809055,52.16437747302017,53.62784766645029,55.245907833472764,51.81281234147991,49.05945608489399,49.05357137475706,47.997060759356685,51.29241144547393,51.88733253448821,52.441575587138566,52.19792780485762,50.707931891656266,55.145365452406914,56.15211255093201,56.42626763738966,55.80626481724673,51.27611691853625,55.770303968181594,58.4920761446703,56.550004525376586,60.43054158075654,59.91446173352216,64.53416437387867,62.02461053719532,63.32169602261969,62.527937555988096,59.85237081227723,58.11589157064356,55.37616544588766,54.766798534582875,53.816047002848,48.93679731652898,48.809938494420514,44.941854486954384,43.34440351708075,43.634647891715495,41.56871440180146,39.18497312230422,38.7764491278332,39.004809078369824,35.15923372431754,33.42678202940366,34.75883585707272,34.17019725785698,29.35811995734359,29.11511356626514,29.475322378668174,26.594762697245592,24.143447919027395,25.71618661334854,28.347334652408588,30.05519353348391,34.283700228939324,35.113979179407906,36.09015075746539,41.401110606264616,41.995957969612604,46.29027976113244,47.88533203064543,47.999666341603834,51.033337013789705,50.00920710521479,54.50213552999112,52.67484322865528,48.06083246592396,51.75143419983131,54.94592604686807,51.00390129234476,50.080162182921846,54.19098081173087,53.5460101942133,49.374010409787154,50.783594691644225,46.11721835263488,48.818240289819975,50.46799225197337,47.55785172383201,49.33699566007217,49.62327102798506,48.32163187977777,45.52998084238233,44.357307593700675,44.293999324624764,41.39181030259749,39.240056009632994,38.52344855903808,36.114231245888035,33.88239529281504,36.389347397053044,34.69480411944265,30.20044118320206,31.78599324670235,34.77979557054892,35.80172455402692,39.82513543226716,41.282560807465146,44.818543283794625,41.49445546149712,38.26453534092706,43.36187334384138,43.511754879920446,40.248109743530655,41.823082425445335,46.747871441907286,44.20664727077452,40.865562742724194,45.098587489357435,48.09175916642349,44.98443490922134,42.39494839513963,38.09129343986836,40.742067437936164,36.6670139307727,34.87728147703345,31.426720534451267,32.18369397984255,28.3738459382731,28.781016804238007,32.22939460334679,35.348667416097996,37.5545306498467,38.20685596026985,36.52224698258306,40.088406459964716,37.36522283597533,33.578066721744236,36.85175376328039,36.50568009024576,36.54988826712612,33.43393755649089,30.913211455452156,31.004601394500202,30.806653344798953,26.963468258243857,26.04836551210714,26.7023604467997,27.2496782164646,29.65195067844003,31.439448567683606],[15.75407711575326,19.05071033720594,22.760615959806547,24.327720692239108,29.775701847941583,26.231741900674084,29.77317075999605,31.148157917664033,30.30016971035952,34.08332530896235,35.15842239960978,35.87235758457885,38.96636104651873,37.72711315105445,41.556706983057445,43.36313714952516,43.831563162098256,48.2142983961208,51.42527084333061,53.761414206393276,57.39114077728175,61.14550295115692,62.00607461720038,61.722672640901614,58.477625553413176,54.64744517325863,52.58685018888318,48.48488161270262,48.2881615380226,46.62054099348372,48.73151316169886,47.16790240231102,49.37212205894141,53.93517498527868,52.71827460619125,52.35817650192279,50.76419464756307,53.130641883752226,53.36655507197979,58.926768506469934,56.93318929694837,57.52203621114704,61.706881050159105,61.6813734622787,64.36452290827116,64.49269611520072,68.36149488198326,66.09023077271071,62.662651820215956,67.25024666404589,68.79005353816966,68.19772382628933,69.17290040363555,63.55195147790807,66.72292583602454,69.54600046140351,65.7729156016935,64.8898854043102,69.49356633056901,69.77335267007889,66.6616054198238,67.2623807083907,64.73774550413063,66.94407686563525,65.01070504155473,61.00573258760821,58.32210740880502,54.64765285657076,52.37077017144769,49.063952732202495,48.71056108247512,50.381227366774695,51.868840684328866,56.15859341285017,54.61257443739286,60.340854767852214,59.98389937683799,61.64997991423675,61.211401682823634,63.031890100894806,60.2569598039928,60.36178394868933,56.99905446348123,58.193508904238904,56.41543011412063,54.50451521550463,56.858856791561934,56.00834323222944,56.66947523753145,57.968650756498796,55.88505440138696,57.98140667986045,54.029866947836176,51.09351460332173,46.81383641997737,45.87798232998993,42.145366786952266,44.03495701510232,41.0061630689547,39.78692230597064,44.49870524853531,42.381062288317366,46.60195905016423,43.886147081604506,47.94199439268648,43.354588555606796,44.624624919857496,44.39058239563115,39.97168760160549,39.58067485214612,35.74441441495528,38.42113312364966,35.29594463201478,37.99439270822104,38.74869420526628,40.30207408840389,43.59166005151055,45.23018496422323,49.03776562969044,46.39681576784468,43.67263022021191,40.315639855407454,39.16768410726694,36.729223477254024,33.72011169536913,36.40592723085894,33.00313977317187,37.22590760934102,38.58810598920309,43.07455839710991,42.57647622913004,45.815383335631125,48.406373909446394,48.68985133071336,46.41260922174927,43.40929035052444,40.78510720850009,41.34687947272508,41.1812256443245,44.048764439837974,46.95518061322637,51.81776808977108,49.686157294474974,47.231078742988494,50.15826089439897,47.576347988572415,44.623762194802296,42.36053788519628,40.862451304444726,36.87701381680069,36.06552653896813,33.64001213733848,35.542418906892124,31.699805216779097,34.98621666511796,38.03899508757414,38.61702356624435,39.408895132631955,42.227684055532414,42.18704548708921,44.487345922038976,47.82951338531656,47.17941021866072,51.41735014522448,52.05852936594795,50.55267077148981,51.57658575438585,53.397126942682206,49.81279686415116,47.29495529756928,46.95872595142998,46.05147601147708,49.05167926901524,49.465958223651896,49.97691977404085,49.43808717982271,48.25606101242597,52.34302535557991,53.58056287017595,53.566674194938706,53.220234292291714,48.36129978482479,52.80549050171081,55.61716467863485,53.95200984531097,58.07503672843301,57.86489243515985,62.423136402226696,60.36129870881907,61.31326574270224,60.47917950922887,57.589025485970424,55.68545483151742,52.774644357930015,51.91887339449592,50.79325482145668,45.98775450689682,45.47161135445057,41.50918186273688,39.72169246348722,39.62631020015739,37.39796573643576,35.370474599190494,34.939317096696406,34.70038929515129,30.96132829688028,29.82188034478695,30.653825793317417,29.51873808048449,25.199656315396886,25.06205981351676,24.932682400080708,21.9779197595766,20.196091916837805,21.55752413372445,24.504308259336728,25.66342327512321,30.699554543171498,31.09232847065086,31.69313764079832,37.00066933069473,37.33067508126159,41.74237235922911,43.08603389650239,43.29615919189027,46.25748511503437,45.319224634283124,49.88273325916214,48.1391652194491,43.74473735319486,47.43035886174292,50.733693688542424,46.996008867202534,46.16712764656378,50.350188932299844,49.903257339179575,45.8467356599606,47.404705509880095,42.471894363236466,44.975524333524035,46.337802685780645,43.130929917227455,44.7864041418574,44.75511236584854,43.662437347840815,41.05632697699475,39.49831839402029,39.39074312228318,36.788189029295324,34.533973493027325,33.50207482547139,31.140015934681564,29.05995201030188,31.27805330077048,29.423381293963,25.053899582645023,26.69136987043156,29.545055619004454,30.79515118612354,34.7839318190385,36.406106774377704,39.93884329928277,36.6387903811146,33.70141757477366,38.832891196711856,39.04699352765699,35.94625213142465,37.77261928096259,42.57428112423023,40.25880489671311,37.204046774995035,41.451833684857505,44.37770451561609,41.544176506900264,39.17047574070899,35.06147210262699,37.99967636400236,34.2722656786049,31.95650768252893,28.706619132428173,28.878299764599824,25.14629902578395,26.303308947683803,29.654403083769758,32.91659458760475,34.924409046012066,34.979973471785385,33.45911213904735,36.79995003737351,34.41782927562016,30.157387581855442,33.01866646719786,32.245421465441865,32.45919742664562,29.763745988740403,26.776473818752745,26.616150982369415,27.178286347061597,23.36726525630177,21.61854476329122,22.320725472982055,23.297250187360905,25.731622877456843,27.598556550824387],[17.22908085725971,20.14931155932646,23.85016797124489,24.99063737922054,30.65513270592645,27.94300881327684,31.585550355794577,33.49975741008417,32.690751509793635,36.21023814212879,37.56625778779308,38.65684614036497,41.27901237117134,39.81021327452678,43.9497077422425,45.78462685830441,45.82685194823352,50.21243719127853,53.07684221547382,55.53410768744649,59.017488161503486,62.778729185038635,63.44492229235194,62.9224751554828,59.75333069486948,55.96402931071605,54.033995326906066,50.060563741118926,50.241320425870676,48.889455711883784,51.22613905046904,49.85617741223163,52.30343504596014,56.75828828084557,55.33865242826869,54.67794698660584,53.15834329344642,55.07962582279219,55.091066728278605,60.652002037786424,58.307031966187814,59.109936598843845,63.33377194137374,63.02188606983115,65.53077233212986,65.40164186207451,69.34680192200429,67.32732769574,63.6842183501683,68.16750571585405,70.00775055709016,69.47204734900404,70.67241876804364,65.10559064039701,68.53365153655454,71.30591556031179,67.4561132408181,66.88952240269369,71.49417450083197,71.46266811408174,68.42481043004578,69.27230872366286,66.93368557340747,68.94193646688002,66.8255733742684,62.95879981192522,60.167375371222484,56.68579325443457,54.18651130434417,51.11158544938103,50.52201719113705,52.1873075303565,53.96305636124867,58.1558474519306,56.87938114430039,62.75231622799469,62.2871309038634,64.21624651391801,63.655405309893894,65.30915281745419,62.645165219345145,62.50937077976081,59.32130680557002,60.244975017391475,58.246565285760596,56.57792628067378,58.93571301724474,58.441757709557024,58.95055034173116,60.6264424358653,58.44253623222992,60.639990613666384,56.75365881879198,53.95831272559683,49.55315283741045,48.74499189238716,44.8515856243798,46.992865507657065,43.98971678382809,43.10068089367321,47.47338193912276,45.332868848257064,49.28425464120358,46.41747740231286,50.12898570908866,45.38591575659695,46.617926787691815,45.99940423563662,41.49609391445985,41.50551944750598,37.53426367597373,40.1895025289061,37.16474385972812,39.522897159287915,40.42836346495914,41.59789068691865,45.01046962026797,46.2461292546659,50.26983321898735,48.000360885165904,45.10844679370702,41.835223129521246,40.22908008331265,37.947319069599395,35.12222076394831,37.543351081769245,34.45652014257343,38.51539939522679,39.85489306290963,44.54681213595579,43.520917369143525,46.91207331479927,49.36618442744746,50.09092102511396,47.438145010643694,44.537023044325124,41.40507334801414,42.06782451368873,41.80261284185663,44.92827118782232,47.508252556260715,52.54183090724932,50.684021501025725,48.34481551838934,51.4841922460239,49.22234778546897,46.168573540908035,44.25189831049953,42.85777769533365,39.073624440152216,38.48092490548259,36.44392894023672,38.64819235526606,35.17444149008486,38.361548215582985,41.17788098018931,41.437400837202134,42.08279427323983,44.72663248843183,44.38087498521891,46.21240029142169,49.68536638428429,48.51660488582378,52.88544255328383,53.138698302882325,51.18016959233555,52.251550643610045,53.720755831780004,50.05804475510444,47.63699343896625,47.57219658110937,46.909841446070274,50.271325901252524,51.00724590429537,51.81617115106504,51.577772003034056,50.55243051746328,54.781715560604404,55.66168957717012,55.6316299073006,54.853356834398014,50.11919934126607,54.290500970827374,56.90937504396544,55.17056602339859,59.41802643094422,59.28993844502561,63.697585041806974,61.31519262729093,62.1984046561084,61.15884815125862,58.44386910900626,56.35302861628742,53.44780345379013,52.59227741732316,51.31179599515867,46.50010824719371,46.118979206228346,42.051282524443124,40.73850845474234,40.53925170797466,38.77046572400228,36.606926304564475,35.64323203508844,35.698457374908166,32.22955939801616,30.319369539627512,31.189203157144867,30.759499774670157,26.208108103787477,25.502437298900112,25.62391983067263,23.26759076988284,20.637624137084885,21.54459877945946,24.22576087108574,25.62275265762001,29.893918052948862,30.9124310531855,31.69897563957699,36.94757479822492,37.38163709896263,41.763808488755394,43.59119407944898,43.9352431270913,47.14101442404153,46.46427144391088,50.81266510337848,48.714668847206795,44.36922885957893,48.256253122178464,51.181260673738386,47.20745086234269,46.59351344128552,50.802184824436985,49.850299531590345,45.73819228811903,47.65686481686226,42.86328213867944,45.94483411459213,47.389041796401195,44.35393049039404,46.39769464506531,46.57724137269485,45.709025016072985,42.7494295599337,41.26772652480663,41.6108587116772,38.915333031805396,36.28786126011578,35.62726131822844,33.49890699297974,30.958157232535957,33.048855134046235,31.576324113779435,27.236965449337422,28.18966352503355,30.99688914030693,31.89222635495995,36.01996999327511,37.748995589341654,41.02324255562639,37.399538322411125,34.43947756572943,39.58808816741633,39.37728395464072,36.11373784951313,38.033730249219616,42.66676360718042,39.87982124410239,36.851429094383484,41.275429861986495,43.91867437230396,40.7009826262387,38.33854166970469,34.239453724975036,36.64932606667548,32.78494110143934,30.611423583313943,27.62122803668992,28.49340264297943,25.16055276465389,25.55018325642826,29.052151684128482,31.9959859994122,34.404997062902424,34.927535697816396,33.88432911859509,37.55524544071766,35.402143103964995,31.331500410628294,34.78619182615706,34.170600530636634,34.81447310224893,31.7257765259491,28.63058784138295,29.086187803872352,29.678222262320354,25.322769769156114,23.960135455885204,25.272931847761317,26.36555929189473,28.973985933285842,30.920092598509846],[16.91152541036817,19.504183304874378,23.046358372013152,24.395448838674547,29.98896076109028,28.038775506020283,31.862721540019226,34.06145080979906,33.62968383161213,37.109562985860826,38.78476677608985,39.96113041500466,42.20786437580046,40.87332916574712,45.21430162649027,46.88887849163975,46.654092528377916,51.11924707016191,53.852673499486194,56.1909812461136,59.65426036784876,63.28922506851555,63.93040205505261,63.23276100703831,60.03686971301532,56.38341138404408,54.375984124372515,50.512649104513976,50.92294541824602,49.68539197166101,52.444868566318284,50.94041966005435,53.627369430716925,58.04813895921086,56.3754123466583,55.56770111777026,53.892982740708774,55.57300460068092,55.354996693823,60.75689250439992,58.33375906823264,59.444916326830786,63.624824183461875,63.07862933004643,65.56080077192213,65.22884455302588,69.18535212245276,67.26379944003658,63.41267647122279,67.75325455045875,69.73920669580514,69.16626468572535,70.54587532339129,65.04916853935174,68.57316035493561,71.45226038327512,67.65067538844276,67.30741329169216,71.90757873542458,71.71862906389875,68.87509280687505,69.97241428550231,67.78963795515168,69.81627756182124,67.51090307538097,63.68204793847094,61.0582468762074,57.679242745809574,55.22378129934829,52.345840137204625,51.72043834785961,53.557033943741935,55.36267706958808,59.39717434848343,58.13133367032762,64.08499053205817,63.34495463523821,65.40433456091588,64.6185402503203,66.04738587700905,63.314956236494034,62.89403032818125,59.713463516285486,60.35501380733337,58.29792858294649,56.917268274354804,59.44102937475258,59.148301985675126,59.78313384986926,61.75015798505703,59.66977424274832,62.08975297515903,58.26432481323707,55.495082470690974,51.002803065334675,50.43976019444122,46.433162660864696,48.439865758188915,45.335838944144314,44.48508835790261,48.55865296324755,46.126960474514604,49.9308429309352,46.747225341270756,50.08619835090195,45.22654889045792,46.24145152769528,45.317210355408996,40.774006921062856,41.15143644610706,37.230588923778264,40.077573855033016,37.344748463803626,39.58773053563307,40.87301162070889,41.844722654276495,45.42651812110082,46.45934471043369,50.79871754513043,48.73200573854978,45.83138481967449,42.558919766171435,40.60376115592127,38.26225532357457,35.40761399032626,37.37491328299847,34.23105132285197,38.07892746458031,39.205279565342764,43.97209755449618,42.509025445818736,45.864416762361714,48.347808209690044,49.38715612258776,46.63333275599889,43.96255851776115,40.45594792981597,41.44085498140294,41.338310218602714,44.64262564979756,47.20703037662897,52.320782582819035,50.7306032772387,48.35115017688447,51.551241289473424,49.517612197253314,46.38718062417789,44.63733378267768,43.13788691871082,39.5624792360633,38.885726329934805,37.28655742587295,39.50330236229504,36.46502349540543,39.74026348503187,42.26341182457504,42.38300435775886,42.7047722805635,45.39184099989965,44.593400015220716,46.18852416483979,49.91139598901524,48.41212738100503,52.799527869603544,52.690046453461775,50.51161811346302,51.403169456149,52.65203930283078,48.86573310942741,46.663054818343355,46.67716509199878,46.311040614921055,49.82894652224467,50.76452928332003,51.8177900955195,51.71466430256801,50.9872512365883,55.15729235147594,55.81063513770517,55.630681164509625,54.593127302412846,49.845500373963496,53.72349294510629,56.1957715555109,54.53054480777279,58.985267348252755,59.07767338783722,63.31205357666307,60.86868034802439,61.51775952941194,60.27403409776159,57.624178146994005,55.29277099349199,52.3241342735404,51.35788158382727,49.86613706685431,45.11973153595652,44.68086850322494,40.50340810915425,39.540276794805834,39.08490626896563,37.67479484253651,35.56013699276282,34.118506428152976,34.24389301642738,31.10116970672646,28.776396528809613,29.452744438949825,29.45326530799834,24.959882925044287,23.791375015605688,23.94954581272831,22.163197814630546,19.090900929092975,19.468094746078638,21.98359572830356,23.360637488689868,27.207252102878567,28.584499077707612,29.400536657233907,34.548367092720454,35.05625747593582,39.36064977448498,41.51670502293767,41.983863095151975,45.35100922547077,44.922333947578004,49.087052732080416,46.73065891826476,42.520951855114646,46.55608222683489,49.184712811412886,45.10634647674231,44.71393069261966,48.95852010581293,47.656504561453474,43.55902894761625,45.844482973915134,41.08431440723909,44.57597916264127,45.96062863465211,42.9803297098618,45.30912983389486,45.56816654765391,44.98070978005289,41.7883976391309,40.25248834499857,40.987714722024585,38.334162293483594,35.354991276994625,34.936824226794,33.06255429537522,30.1828727523802,32.04581105138561,30.902069372850434,26.68897190110077,27.025521064443232,29.730101961646678,30.34860718149067,34.537279048329964,36.38065450036724,39.40545684827647,35.54966623797231,32.677405585004514,37.80721480226029,37.26006565609315,33.93852239364245,36.010703096753424,40.42785740029285,37.34854215776096,34.462807045679256,39.01287585192598,41.376265294664236,37.96897857527295,35.71167756520239,31.733858922135116,33.80329193986181,30.010240467780537,27.733273276554762,25.091776144600317,26.311510033320726,23.43860931554364,23.48390139736598,27.017292510189055,29.707047585095864,32.35363383704173,33.004917166261514,32.479057460114724,36.301259849780934,34.54138505947996,30.473683344578077,34.23281752219685,33.587512577975666,34.69173310374172,31.466038045837685,28.118673205358608,29.0319338540647,29.971002560269607,25.216752329639107,23.885189844001182,25.765192988177883,27.117470907002332,29.84925834293309,31.888434967351937],[15.953179180726071,18.212442872576347,21.78390420650463,22.137104520704778,27.907441632742483,26.095595848864164,29.742728673846837,32.272942156025685,31.559710154325604,34.733628497245235,36.4834403246806,37.994198626837985,39.94039471568188,38.32407716331238,42.815603233917216,44.583444868816684,44.0992336673963,48.49163336961369,50.98957160850083,53.47876429925609,56.81613009376152,60.51227341713035,61.008594537572755,60.22841683846017,57.12561916415513,53.44064326889355,51.5911445176236,47.78765627517482,48.38678330443842,47.39585660934402,50.11044297768155,48.90525970447719,51.6993095577138,55.9898469485257,54.25843715013674,53.229335988519324,51.76024334289632,53.13703855036199,52.87978924708165,58.3918331973,55.693054930988644,56.76043967035017,60.98904045777561,60.36239472597198,62.70925921233725,62.319133588395175,66.32307334255037,64.54062934512591,60.676392266385484,65.03706672622224,67.16444108038424,66.68904620078497,68.12255937614661,62.627456491318796,66.33256095474852,69.04812550421919,65.13932399599045,64.93295533749168,69.51525227517465,69.14450859995183,66.2282744596069,67.38492492820441,65.29293174178632,67.1259083247891,64.76730672756915,61.05701301182268,58.26758452684676,55.010430423933535,52.3698360894628,49.616661952987165,48.834096532048726,50.62473035299088,52.610482518563146,56.590285075489916,55.54459698256618,61.566725110597545,60.85411046344579,63.09449858573878,62.3174815955493,63.71919915823817,61.174522563803635,60.73142021272414,57.77719149288534,58.375414767281434,56.12439720544822,54.744383811060096,57.10815503122584,57.052828714130335,57.42096616730636,59.59013339410281,57.353969615793986,59.7620357299707,55.994643302369894,53.37374415997871,48.816387769430456,48.292670798925556,44.198182413441835,46.51063854613035,43.52193412872168,43.10049235206024,46.90282668487469,44.76346744394694,48.28382228306706,45.29486296975876,48.58278140104913,43.71589743043409,45.01831827715314,44.007873855668045,39.46581805185057,39.859040609042445,35.701824580787,38.19211505694005,35.28992649337211,37.22926343459766,38.32870285224462,39.08667739373708,42.62930327573455,43.461578809608426,47.76100695337417,45.883275298048254,42.87906065680155,39.69604000282179,37.59232701654777,35.428684578235426,32.78979600289664,34.865422482575546,32.18669562035192,36.03101700257637,37.408642158264236,42.27597383615812,40.78771859012957,44.38626026661354,46.58427615234622,47.72609651290465,44.64282064746084,41.81413460370454,38.255932885310486,38.94242375605573,38.58106268183114,41.92219860579293,44.21138958530212,49.35998784342048,47.80101450429596,45.56204800613403,48.87729810443594,46.97936119950243,43.83686954160814,42.31574243140446,41.04796423682925,37.55410222386699,37.269676762154894,35.76034982897386,38.413364886975664,35.55562382569965,38.507517575535914,40.917887362373946,40.70373731404915,41.15433327983128,43.52124359556642,42.81766460911278,44.067831885319464,47.6480857374764,45.92717657733123,50.39870010679513,50.26142960082875,47.887901871801105,49.0256491943649,50.18287256918579,46.50118248347565,44.138880164491475,44.33042633775694,43.86931794680619,47.56489424576969,48.63312041341595,49.75560698895112,49.882624099200264,49.0349759662844,53.429710154827426,53.85458274867261,53.83846599519295,52.56461449177974,48.043320640781346,51.92868716780013,54.33287450580692,52.48097187920692,56.79056714207343,56.71947727039816,60.98286748841957,58.28298676544845,59.110584592715085,57.896450777377666,55.368147671388854,53.1593002266608,50.30929449155663,49.529366958501384,48.21081936901588,43.399493743106035,43.28173882313129,39.23134319184002,38.33987114904231,38.3193634914019,36.98418066316387,34.52198050001988,33.242365933711646,33.8353079931046,30.496206448671096,27.73879170118908,29.0139550218613,29.483211649097544,24.434226621171035,23.392384812561016,24.174042743342298,22.214542185760937,18.616449457115632,19.668520576752044,21.811731505749,23.990756148457827,27.05959808919868,28.534835469340255,29.87435986177247,35.04784531767485,36.020661054546174,40.05389315067024,42.226407888851384,42.35673156862447,45.66070939157258,44.95152117905703,49.086696320763885,46.81726194553784,42.25710940258099,46.182135996388205,48.84245304515288,44.63520491484296,44.00499684650944,48.143799393480734,46.86341024480949,42.66338083405354,44.60635057849854,40.086391419221755,43.591307387763976,45.27088676018704,42.61615516288819,45.00213125040463,45.65792026295967,44.76689762558068,41.38348158283545,40.36319233551868,41.11065801557803,38.06912387187221,35.27062608008096,35.27242202397709,33.32428592450269,30.27330750663918,32.64290110067704,31.73519835984218,27.302728658862655,27.769941418347095,30.807137012104665,31.106576667590883,35.232080503586204,36.68457944968775,39.82373135541864,36.188010861067134,32.796280795433965,37.824264207334686,37.47012294483793,34.02040417086278,35.61318671007457,40.316364268857555,37.297061997361624,33.95145612376344,38.333669611557006,41.00174305381664,37.55740495707824,34.98125229579465,30.747860532150526,32.91698635264519,28.810384839033137,27.110529163450877,23.942611949182023,25.37775973848876,22.21271241254487,21.835861213826366,25.37592829775715,28.101988117695306,30.72698146623923,31.765651686792605,30.905398435419464,34.846024737570396,32.77410940896508,29.097063103793598,33.18195982436186,32.96138850355013,33.9326553447916,30.292501744194805,27.392602188109755,28.60590305967255,28.87048927872594,24.021201227270446,23.53096755669295,25.487029133433083,26.492230891910367,29.286528964456426,31.36234740711346],[15.871371105238707,17.401400653267643,20.621992182952415,20.805304034361157,26.40479881625388,25.699622029936624,29.43001488912437,32.38596514067567,32.066552975778144,35.037090349241744,37.18585817416104,38.88121335074912,40.23961582506692,38.73025446560104,43.46351699656729,45.03807720082571,44.13395222904741,48.5628249475075,50.80641913519647,53.16832549714705,56.42381054653829,59.9582256358273,60.38361037890797,59.36588774550017,56.26448066000387,52.76101919736002,50.87323371887889,47.25890134672931,48.20145304663538,47.44037161982299,50.64781623009852,49.377645721460695,52.48115589666405,56.65574966753475,54.60419995066879,53.32893386012926,51.74353800263824,52.709419180124655,52.1527128538324,57.47241948569978,54.602686503457114,56.032724502004264,60.19893639610635,59.25982204654019,61.520625060746355,60.86601221911114,64.87835113423074,63.267929541995876,59.1657295124903,63.34304633098986,65.68139458101201,65.19560572081447,66.85676461858652,61.47307213319592,65.33814765395114,68.11509217654178,64.24411167161523,64.36117934920763,68.91758938997451,68.2918023564895,65.61062820632527,67.08917658979594,65.22753453742328,67.01518773509734,64.42204056590349,60.80957102828707,58.19732584731604,55.12792757612566,52.51313217292067,50.06663973751179,49.20444511140809,51.19230399812786,53.24193632201092,56.98034100968964,56.01017318277699,62.115087842202655,61.069445255451704,63.51408006531763,62.46428603158098,63.5704605243626,61.01490426722275,60.21288542108289,57.367201672607855,57.594578721272164,55.21472750300728,54.201195419236925,56.70374312850864,56.97884274847877,57.413371837168114,59.99535985732726,57.854507546746916,60.52314757909947,56.87249744367871,54.34581086978352,49.69762248765975,49.496407600729434,45.27523134010966,47.48734933064461,44.441095142520226,44.21137886718033,47.519011557737294,45.14620086836882,48.353121912964234,45.07416284977764,47.855013591967754,42.88162061641696,44.01812794367922,42.59847169869814,38.05486614310485,38.907798758006344,34.76997411238217,37.33073284728155,34.77462148921808,36.43295785464765,37.94382846793993,38.3708711506032,42.08114643493884,42.58582539614429,47.24377145105908,45.69337536193806,42.68096637165867,39.55784635324485,36.98804134586305,34.82638804332119,32.258774035741695,33.74640857293987,31.205449636660806,34.719539144020075,35.90708894415926,40.86234136084981,38.823759565181255,42.45152721620607,44.55297650162076,46.12134642677847,42.803423101836316,40.22843656127081,36.20185652108236,37.18295303784239,36.946921002660886,40.5004616664446,42.66549056781206,47.89174285482178,46.6941868327194,44.463354654054505,47.86706322295265,46.316238654014484,43.10080988344154,41.88358528626344,40.576538980186456,37.41557696102423,37.17216137947933,36.25807852705619,39.043043661061006,36.805029058109724,39.720288084520696,41.70349222311162,41.20661600500203,41.29775558479919,43.5803736525289,42.35582209670286,43.17085025637653,46.98416661250115,44.783094102116166,49.27392847716503,48.67225894038307,45.96700638642443,46.9577809470961,47.79799742083411,44.01619970720652,41.88545793837599,42.241953905301344,42.12749950074486,46.05980126260928,47.4191760693468,48.86465630667237,49.24312993324607,48.72779155220305,53.09571537647707,53.157417415557916,53.01544079829855,51.34048106664094,46.91785520516922,50.41578637531515,52.598853166217786,50.776259923124314,55.26561116518288,55.41284432049966,59.44288157213632,56.591660530746594,57.188560297430115,55.74088602267157,53.34784786066096,50.897720332599924,48.029165701826585,47.18905228595039,45.686792893545324,40.95432440701568,40.89981374830923,36.79817447910881,36.387340016759644,36.2463487943767,35.40761462860268,32.878790682763224,31.08480245787086,31.98733062737183,29.014198498409126,25.55785008335059,26.869064241955353,28.1113750123823,22.972415731589916,21.424598205523317,22.57798882787062,21.305714730262856,17.006033116584867,17.700763836543242,19.309858781839225,21.90336475531641,23.89499848985035,25.858597320791265,27.512483565980492,32.50895600762202,33.83808879909004,37.574792387057954,40.093320059812626,40.19735295983188,43.637549507743614,43.09160381756694,46.96903469052095,44.44613582976354,39.90581923053748,43.93261152269132,46.23795414640048,41.8633629040036,41.390992336493504,45.49950223034942,43.813988253467926,39.6047978742262,41.824435851536144,37.48630858538162,41.47905814393481,43.209028759843235,40.793594878394266,43.531661832393695,44.459461432451754,43.77198109857182,40.05695587528088,39.2197653939727,40.43093477084848,37.30354818232213,34.20065348679488,34.68868879272726,33.040832866480315,29.56299128605574,31.858915800679785,31.4666314269921,27.18219886911288,26.973530422629715,29.989987448484154,29.790614300959824,33.883708018779586,35.255939907326876,38.11325065465082,34.35957573380923,30.848952615803643,35.736939741560136,35.079051327964486,31.531449497342983,33.04099155531772,37.58251169373137,34.26909320689421,30.88038150939664,35.29946466783608,37.773240801293355,34.093721440223284,31.490090341302604,27.300158392581952,29.084500993940804,24.909022468645,23.421186945367957,20.434809164114746,22.44438895117547,19.806752426991736,18.710530279049717,22.25654395952031,24.633640582406503,27.543398113073334,28.93410723350992,28.59877349675393,32.74509101805212,31.069012970961488,27.626361455039888,32.174859335266156,32.10707914983125,33.572124327223705,29.653829415847504,26.694878238055086,28.566974660637303,28.97234423145615,23.727270488445658,23.639317938610652,26.234770315947443,27.383501110528698,30.283349671768875,32.41904411617358],[15.418749089666495,16.251470247177288,19.164443098576115,18.61883486582734,24.108133315398785,24.085842360356796,27.696677308728614,31.007401421157546,30.7768409280605,33.453319521956416,35.842028678533524,37.768429749771784,38.64455305512158,37.09787568220775,41.990820506068744,43.47690842453955,42.24048172904399,46.635540506521195,48.643815945780815,50.97621449346252,54.13071437451752,57.58828264526342,57.925768705547185,56.761525279938624,53.69990102221453,50.29405568193811,48.446891899032764,44.971409331552465,46.168048144002015,45.63974906655049,49.086649553545925,47.91152330388434,51.21664644784153,55.24872266686187,53.00348765069391,51.5057520691836,49.954207619013644,50.56540080270463,49.84029725643718,55.09247490080931,52.02914111309181,53.61916208162028,57.75962303442489,56.63759871865852,58.79900256971786,57.99933841846201,62.02286321146517,60.55012800556164,56.34248697273741,60.43359316062313,62.919986021238444,62.47815273167398,64.26170012406341,58.94539320932251,62.9602563284459,65.68350099347279,61.79487795910487,62.13024718228884,66.65359247986233,65.82689895069491,63.240035202732216,64.9063588787979,63.2035068546789,64.89527965863387,62.16225066936278,58.65513185488024,56.09135557511173,53.18064022413211,50.53403035731198,48.318036797348334,47.36791271447204,49.45887142990933,51.58252516464001,55.14035028563648,54.28741897982426,60.44177136792536,59.21811017952649,61.837667802679974,60.644353854135254,61.57716875949827,59.10554360415275,58.113139152319604,55.44151315878272,55.46336260988725,52.93630711783529,52.1079499480579,54.5994525180959,55.15152925386344,55.504180089453016,58.38543407212494,56.2433406233157,59.04759668060823,55.502241646425745,53.100471003060534,48.40030190395685,48.408734093434184,44.10800076782535,46.366796586902375,43.361739326763534,43.44494683120798,46.32030719853212,43.98799442750482,46.861516523761615,43.561037289126176,46.046298529786355,41.0522209740877,42.26774539394372,40.62071493975286,36.11561148573826,37.1798903706982,32.961770732336994,35.33149724791311,32.8905080688132,34.23378151679936,35.86876245709278,36.02396784315094,39.78530804888281,40.04055776576812,44.85900428956919,43.55775474110711,40.52633869654841,37.48763870065315,34.62226400560996,32.54127436690014,30.128857102704306,31.33143875821141,29.127351195799104,32.43286644336877,33.65718023865578,38.67037012600644,36.3853797923302,40.14614747515739,42.029133764726005,43.830949110744434,40.2442119840137,37.714562400605104,33.47191742539281,34.42841974276266,34.1356977689362,37.78973955011677,39.778328783077235,45.033240190199585,44.03184141198125,41.86743260213743,45.34546159167532,44.03744600102381,40.79722715085594,39.850021508434374,38.64215267466001,35.72731769850306,35.70816127426434,35.169310099612716,38.21957157409894,36.434604372542,39.13217822978965,40.800843173235016,39.988251845302884,39.95144335299977,42.00834593577086,40.57162292147898,40.98540982745446,44.82430249855889,42.291126796689554,46.808074550863616,45.974607843679316,43.040686024346336,44.079414748749834,44.74136769228243,40.980663098348636,38.873980867717236,39.38731053285777,39.382204593965525,43.492592297270605,45.048861661652985,46.67745221320808,47.29419733734774,46.88905160658703,51.33076058870871,51.09691334635267,50.97761007219496,48.99924000683755,44.76382917865328,48.07033506584652,50.110900103243914,48.20934346729379,52.689113555781056,52.85831045205879,56.784059032516375,53.754825974068815,54.33028860565339,52.80205737407705,50.53136640992654,48.05107885741141,45.248318967752084,44.49005198083397,43.024986243699864,38.30692826582906,38.47112644067827,34.45897702167455,34.29266831396337,34.390789410885475,33.81557456825773,31.06325500451592,29.1853587703536,30.52449756742933,27.619976690503133,23.63333574633981,25.36322175479164,27.22248232853142,21.792568516509842,20.17411984512341,21.901992195367065,20.833663399735347,16.06821675269468,17.095762182826718,18.11959441400123,21.401017384651787,22.359071158165918,24.489138032252818,26.62365913149501,31.48843078607504,33.31272689524586,36.658652101730794,39.245887253888505,39.08509607189654,42.49058194527477,41.80247883180216,45.53778515629234,43.015330306458196,38.26344691156068,42.21466840673632,44.40659904241827,39.91882379727216,39.33134083654136,43.331996399121834,41.54276791392892,37.284830547232225,39.3464884179323,35.262566877151805,39.419063845897945,41.34863511361793,39.26441507340887,42.155577749459354,43.4506886364804,42.650162105100954,38.70732824017532,38.299325357092,39.69521239733975,36.31528511710187,33.243844011392994,34.20970176267839,32.66787777899339,28.95958031009713,31.523919252877466,31.506988062941186,27.23250201738419,26.845715265769165,30.021274764542078,29.413481469192412,33.36952623107204,34.408095124612764,37.20731611471219,33.63062180450811,29.748044532211335,34.43545925636325,33.8315485872959,30.208688732866054,31.302715716860877,35.95336254258239,32.646873107820426,28.92781987035768,33.17724902518532,35.80748109999422,32.0872423382835,29.25094719755687,24.9212581728854,26.682299440618063,22.292932065209815,21.366407170892266,18.03973119225231,20.368519782191605,17.797912617479888,16.08803194561168,19.569451572728855,21.816020825164124,24.773842615567435,26.5459495800951,26.199463162809703,30.462708450807995,28.792476546374257,25.75455589763666,30.65047121996608,30.92184409167899,32.50668308700204,28.27591655779805,25.62920502595455,27.954374471028416,28.023775025998507,22.65208864292073,23.27546855755037,26.155413598750712,27.148915806723107,30.072584277452936,32.21599743045491],[17.40681597166154,17.671357265323277,20.197253651479123,18.94116866548156,24.178136672091565,24.90331907835985,28.317841265542192,31.949441933766572,31.73209127973876,34.05220437448807,36.61421556643161,38.79534770344724,39.21498213149241,37.545049979756826,42.56924655547326,44.01800834205926,42.43183818688986,46.73560826233763,48.41687923107937,50.78514253675939,53.77327441717757,57.170890170506695,57.354567709386075,56.00400169471444,53.04094783130737,49.733844692549795,48.01134083899063,44.71946616708151,46.21866083905833,45.979963119519454,49.576800047971545,48.58300253974075,52.048881691293396,55.916500828578236,53.51674006431327,51.775536205677355,50.320769527794475,50.52127691229483,49.61836434993307,54.79861977717145,51.466355024656224,53.21133552347142,57.32508578848465,55.97769871573939,57.97079128090694,56.97322528766884,61.016693968905486,59.763255942662624,55.42947957297438,59.397528934920494,62.10561668501328,61.72588375916041,63.67110268805692,58.4524334416327,62.654327077335296,65.2851619080418,61.366898150802825,61.96680295936824,66.4367624545906,65.35200811073308,62.85093611207156,64.71264969941384,63.19215667174921,64.71429851512433,61.84558452624953,58.49819496340618,55.910010873737114,53.20551077902081,50.44857560170215,48.48819450243716,47.38619179776433,49.49292532522144,51.77262023159061,55.15916424670365,54.51606702518742,60.70823672371633,59.37028301906185,62.18688511843687,60.88727342195535,61.65792228576383,59.32060898400527,58.14330277434829,55.68667011757814,55.49007739352138,52.79173907831725,52.16634611635467,54.60219867171269,55.4666725573961,55.67271729234093,58.85276834309425,56.66355947627371,59.54432714995128,56.111852590492646,53.86700425127791,49.13632382583358,49.291196501591436,44.93709277090979,47.327751033879494,44.40817345984689,44.80521578829989,47.298180210985606,45.05364624645911,47.595230685006555,44.30399682908724,46.47083688219735,41.47914373161101,42.7420137460715,40.83675410984108,36.40324345776804,37.721883437465635,33.46916908204792,35.619367120212445,33.3105967949967,34.26719671894795,35.96183722108115,35.769304334723834,39.531857071517216,39.433220014873456,44.35546795537633,43.39627779619768,40.31457498485348,37.427578605880896,34.240595107796246,32.35475697453423,30.211570366879375,31.125561604559646,29.386619784360107,32.41010703778327,33.65256626154348,38.69318938484242,36.07808821819084,39.94681218205692,41.57243585816641,43.68829083078356,39.79272695495258,37.357472190259855,32.833195805541436,33.75589800277758,33.34419664588778,37.113342597640916,38.76171354837317,44.045767623375546,43.301556052947824,41.28268285508509,44.862768128504364,43.86504689837432,40.617779047349984,40.00948358074303,38.953674168870606,36.31148723544843,36.5445608993438,36.33789013345026,39.6131211313849,38.18318462343827,40.66942399982832,42.09006738639114,40.98999849732102,40.86557197943542,42.66818091984597,41.05145005422879,41.01129880015606,44.83481326519512,41.907141334717586,46.4450200672012,45.31877458739801,42.04967634347303,43.1646762463946,43.52818950406924,39.80568133696127,37.771008289793556,38.53144329247639,38.69231147207323,43.031632835770964,44.83479113993685,46.67435337533483,47.56261528774272,47.26041622927125,51.777656325491805,51.22127088581987,51.13352803734111,48.80476627735375,44.81069246616091,47.857514069622304,49.702293134732656,47.718732496129434,52.17799075673189,52.3664220624433,56.14276552547649,52.858152272410535,53.41217670277739,51.76007904368182,49.67889092981645,47.13871168110438,44.426324582392496,43.75389094829226,42.27886133038903,37.6351260323985,38.03526818510808,34.12283901061525,34.33156380204187,34.5705909752567,34.359250735382425,31.457698343738066,29.373311628188183,31.101582474131614,28.4174593718282,23.90274522743058,25.88606697214605,28.35631957150349,22.86243408369906,21.066085407246444,23.174665707356095,22.47715797065736,17.43347674044095,18.411246712463218,18.858935643159537,22.511353938150858,22.334458457518384,24.82206178132931,27.294964753845782,31.905225748106144,34.06105459572853,37.07167724442651,39.86854438665127,39.589121349282,43.01662660211044,42.34120436819639,45.85101612306141,43.2209351678281,38.41194349326866,42.329632171756906,44.25957795777769,39.64904472885816,39.07764639773772,42.952912679903775,40.88742996262481,36.62584514686532,38.695058363536255,34.93868611954081,39.37888350682904,41.45902625570622,39.7038929232198,42.791752564236944,44.3834852514963,43.58768159944266,39.436691358771625,39.344343005328675,40.97249349401194,37.45273760136067,34.34945825865117,35.701813592509524,34.31101001488669,30.422183934717143,33.05279107262318,33.355528378345326,29.186335839159337,28.529024694435805,31.696949721393285,30.75199460797288,34.581905412982216,35.42832040671619,38.046785123334956,34.53100931320751,30.491285545512376,34.94243002718579,34.21305584274062,30.55473409374269,31.36891899931481,35.92511677583874,32.47138489676459,28.609328723594636,32.71620252541205,35.27489924774296,31.39746784197368,28.446770640227502,24.131941221773005,25.502766087981115,20.968390967485544,20.65432735858394,17.37488790410828,20.257921134814826,18.099457959326266,15.577539217295634,18.86778956851608,20.699756548914202,23.82952793575123,26.104433339040334,25.971462795964776,30.339619136621454,28.788264207080527,26.229782436407326,31.424295848089525,31.97231642956535,33.708403805532875,29.25318695417034,26.875294935718134,29.570418543766067,29.40653812897415,23.99853288470732,25.139603118316302,28.20569015026071,29.089920450685018,31.99010151645789,34.10929080386704],[19.387692931927784,18.99379931066029,20.9256316178919,19.37141351483598,24.038072536487487,25.805601196263705,29.070150713599258,32.961068008025315,33.03277310374554,35.058995486708675,37.87927787908154,40.19123248366256,40.08132657852867,38.50605909411753,43.628145327531584,44.89886164562875,42.95080363135701,47.18995207728128,48.58180057697822,50.82259763797095,53.67339089178885,56.89171148899207,56.98492290169062,55.41792411348315,52.51002446851216,49.41452550442686,47.708852214172175,44.66056765323393,46.471063952091654,46.476598978011225,50.42207057297063,49.43170639833237,53.11114199867291,56.81498235179588,54.17147101503738,52.214244878271934,50.71279617182216,50.50072162785873,49.335136930378255,54.28500512958188,50.78990793514027,52.8390463849124,56.85156700054057,55.216338051923856,57.08243770948804,55.835110310806776,59.85300676215071,58.79925953663444,54.28503864344837,58.03764168982315,60.950548324801034,60.57586579695338,62.729689108023095,57.66406244143165,62.00270518955327,64.63964255807412,60.77535749214641,61.6858580933425,66.08553934437818,64.74971956000206,62.47492197803242,64.61562107664625,63.32483056702559,64.76320558752327,61.7074476798507,58.5021065669119,56.07720497116227,53.59106437042893,50.871486714376985,49.223307638566176,48.051790723180524,50.28543414190804,52.60677365882564,55.73275464157831,55.19371012976202,61.38993206353235,59.78679074440291,62.77239407141126,61.25564238983117,61.75726353496109,59.465904980183886,57.98646144242663,55.689930194723075,55.16199820546269,52.34828642483902,52.06189908689135,54.56134100941029,55.74096154018526,55.96097185376821,59.48366745285057,57.379499332166475,60.44290603049305,57.15467691646627,55.03384024767092,50.29056385288059,50.70552294468065,46.3166381149309,48.62188380739519,45.72398013976599,46.317036271376935,48.33936093872271,45.98744711490714,48.180970851428455,44.737023437757365,46.409832327617835,41.42640098551999,42.56527597976859,40.30983525211679,35.99027483036462,37.6995399587419,33.55688094643688,35.63053119098129,33.683862774108974,34.29145489406999,36.27840409777405,35.74582476871607,39.555706263552764,39.11273435748578,44.26163117516997,43.65179886990728,40.61604309983378,37.87068284004751,34.323485603007825,32.53930786914347,30.588471003332966,30.920572036440717,29.488584818139266,32.0667810360584,33.13460179797892,38.13348150555333,35.03635406838815,38.895003527743704,40.32465388532117,42.840727073142425,38.72313811738628,36.566424024967894,31.67286210677615,32.80632663684462,32.4769566753637,36.36689179676529,37.788391729348234,43.05388661760385,42.68789550942309,40.74452384308297,44.36131721369094,43.73168271396902,40.48471291542958,40.20916207693919,39.185451898503096,36.92557432573623,37.24861088133101,37.55098079515779,40.89972979941017,39.99434652333591,42.359758395074884,43.40894433990072,42.06409633401348,41.666643065992716,43.30794323242909,41.292536721672576,40.79897287026772,44.72948234514105,41.37147323810806,45.85776692950079,44.297210069116815,40.70897606003028,41.709517975747104,41.716678488836216,37.97286589841029,36.187007265247686,37.14990372563091,37.64464351861109,42.16828702170607,44.24328002154024,46.36352780730704,47.50448930761121,47.481755290635654,51.93740873102362,51.030622595341804,50.8598916224817,48.155356699249126,44.36540615768989,46.99591228498355,48.58838538953407,46.62413667562054,51.165744296004895,51.527351182832334,55.04444978935197,51.60180727172546,51.95887346301762,50.10032026173171,48.203987042187975,45.480611183030035,42.815550313973475,42.13571875077281,40.53712927733567,36.04775099950205,36.589355542378726,32.76016168929626,33.4773454639859,33.691228965556675,33.986077402146485,31.052228204298565,28.578974786716284,30.656341154481463,28.402316952025895,23.344721991080526,25.40375222001977,28.57875446850783,23.24236697896804,21.14576360507381,23.575976329445844,23.489839114597928,18.267875579677618,18.954467282141916,18.686854858601627,22.613122768124196,21.063054142576583,23.960330370126368,26.75184310451062,30.971798824097206,33.47416534904798,36.06213353952055,39.117549514884544,38.74321046712225,42.20097019423771,41.63252317116784,44.82237418297166,42.025183780710336,37.26613986801775,41.164477267246,42.715690459367295,37.99737236632993,37.54122742334333,41.28038494891674,38.837166002200604,34.62145702256411,36.8544511505772,33.446079708194624,38.27406996655001,40.42420343107711,39.010746680964075,42.361388561842624,44.235239515728566,43.57953854668488,39.19845350353235,39.36748917124873,41.349980156820656,37.78744617462694,34.55558064266722,36.34330553845106,35.22705496369309,31.120791027157885,33.66768045501754,34.40186513977999,30.481595448938688,29.357947412064412,32.4185716093719,31.048437295141248,34.68587262717354,35.356939109228975,37.66524277852692,34.20171475976327,30.09916598103372,34.22064830048144,33.26770318251947,29.618334218827567,30.186769705792642,34.50198385048775,30.86287147179889,26.961648584225813,30.909402819719162,33.27027385608538,29.23137835626796,26.23779821060438,22.06218628406403,22.903747923173867,18.32645737652461,18.634203999698084,15.640644470691571,19.142374982683016,17.755707385709506,14.386674666120916,17.32213830455011,18.52026096649029,21.86982491723043,24.612658338085282,24.989574168852375,29.41277094677344,28.262200014620824,26.171585796693716,31.61654492028762,32.35786605680373,34.421993104469216,29.84620791862192,27.622256256409855,30.764549520014498,30.619863891579346,25.17796146582259,26.683953287127082,30.055846452875763,30.962778175892417,33.8236973119575,35.92565094445677],[17.207478631339974,16.079950758335226,17.528309139533867,15.152613742147954,19.529324425202347,21.784235963246438,24.838552884855208,28.9112103150836,29.130549294892198,30.937499118951433,33.94015116580007,36.31520334361956,35.83397977370409,34.39613669608932,39.54589701012876,40.66045163991288,38.549842240546596,42.78668831655068,44.15650168538887,46.25653705746558,49.12774417944246,52.254450224097326,52.40796261865562,50.84240919314539,47.87225643240345,44.845766455054964,43.04875001104813,40.04734769367167,41.92798689245423,42.00551970292477,46.1660512876564,45.134755415929924,48.93972801997528,52.53867095847967,49.76024431638246,47.719032067772446,46.17893945875013,45.82980733258735,44.5925187331846,49.49201342469381,46.00812798234778,48.128544990470445,52.10931202162227,50.455945172845894,52.37166763146824,51.150295848756855,55.156706104514626,54.038447315835036,49.52482435270959,53.30594378331988,56.16357974287439,55.78769800957928,57.92191014155366,52.85800962431189,57.203455183572075,59.83735867828222,55.9936911216269,56.93986131758059,61.324876790329604,59.98157204032597,57.76661998912296,59.97555267384385,58.740686099766634,60.22477071497849,57.111855722659776,53.89914263425592,51.63174081470396,49.18399700596604,46.59833000712115,45.073572699888885,43.97159367804106,46.38075784984687,48.57368556171636,51.54634855075945,50.9317183140004,57.11043545228735,55.32880407551216,58.35453856640086,56.7213156715148,57.116029827745926,54.827812192369734,53.258195252611124,51.03297311526587,50.43253000962003,47.57420654655907,47.35357284759289,49.87060024735109,51.151962153716745,51.39922636182277,55.06061396741655,53.037663050058896,56.23321141356282,53.03002365771873,50.96151891057168,46.22410863861413,46.85296054862431,42.45651012690075,44.628815029936376,41.75679958666067,42.54908081577204,44.19248686540083,41.8809436672722,43.810986208600326,40.40699340579422,41.92860204325457,36.983183517221875,38.271226056767155,35.98086473560306,31.724284344156494,33.44148854675428,29.23681973465108,31.08565548606012,29.225275719992645,29.647967098643452,31.76423993958798,31.14219471542437,34.996992914774616,34.54764583147117,39.832706605616394,39.24549142327783,36.298325039856785,33.56095689240321,29.90656400634601,28.05412597611893,26.126078219279236,26.21017378771893,24.979299563691832,27.41627206811853,28.57500437212597,33.577198113056824,30.528781442230663,34.52273348327175,35.786528086231186,38.279486683652905,34.04060943720647,31.81320564453174,26.944717040261107,27.99059480169135,27.684346555360527,31.579644745826116,33.11397592401002,38.37279898682714,38.01754704071143,36.014823463157626,39.60647927348189,39.036542369241346,35.79106350321625,35.615252440662,34.62586641064619,32.56001475653489,33.03517428587793,33.63669110689265,37.15347143510541,36.68730744998189,38.80524559604805,39.54749510126766,37.97447894925297,37.47111760855927,38.93698163656818,36.804264629499684,36.09835369416152,40.02625532732777,36.58023743420812,41.05673734551494,39.484251624628286,35.93526789591492,36.96871514800511,37.080455401464285,33.36076985138068,31.4629006389003,32.40047956168524,32.8344948197669,37.37170668654325,39.477968927622854,41.63968889795854,42.88358885531556,42.90698888094302,47.382173324635936,46.33806339226339,46.200957494122335,43.403511046494444,39.717727883264224,42.34161560685585,43.92866991836205,41.89255970435809,46.37776434116147,46.71238112138793,50.241819353793474,46.823560178307034,47.214823166841555,45.419554757471516,43.492310078434485,40.86228257085847,38.23502621825335,37.65950438890259,36.24282777115928,31.682885378568606,32.430145404888826,28.762236209350604,29.393197482033713,30.072480592798733,30.33618458205955,27.139274533976923,24.993852219009913,27.480756528338233,25.04861988236272,19.798418087805985,22.515364232971567,25.970473963282544,20.35188536953341,18.638970676926945,21.653316152916094,21.3541799511061,16.151419009670782,17.684320158312495,16.979507222555362,21.575579325768903,19.60514404681658,22.008754021152804,25.27053599247639,29.452213232219563,32.436134752815086,34.64362491274168,37.338321392331025,36.48833956531381,39.709002886830646,38.70731010303935,41.93545551443125,39.446305150219466,34.29318733046877,37.94269974111388,39.73347210941627,35.03642885752195,34.18275134894951,37.795230838086084,35.7144659491101,31.421805918192472,33.0531190655053,29.804014873785654,34.376158550962764,36.776707292612414,35.654864563012346,38.91563080244493,41.1306875660376,40.13707474818416,35.687662641485865,36.38907914485866,38.29007537246115,34.43118861732224,31.501788239738424,33.67477466919838,32.53898469242611,28.42115783609023,31.428720124286336,32.386701043538615,28.45532786690782,27.551441484201113,30.8636223100181,29.253331542707283,32.638601881764124,32.79070914761682,35.27089422816409,32.28747594918791,27.666781754240773,31.552585443939744,31.07777910077302,27.440711044235186,27.338593603378577,32.05826174375685,28.898890118388632,24.43957592452131,28.00748262818109,30.966631014742497,27.28097326524903,23.891570325288175,19.38512576633967,20.997082896416927,16.204333848781594,17.181385428227124,13.148707629393554,16.26634044739778,14.439818289182126,10.831144897264899,13.55737287822325,15.07359735986223,18.066068704769187,20.97421995624859,20.786908882348946,25.194367426992596,23.795984557838963,22.129277684249015,27.70607316186336,28.82963164575602,30.771699966846345,25.996203541623213,24.288048126408178,27.685526744686385,27.067176557786237,21.77310898542777,24.040955570026615,27.45213103524597,28.09978339678079,30.887946133230873,32.94064356455885],[20.921952747100622,19.63042415994145,20.837950703860475,17.532153013965907,21.461120337801265,24.170190978763962,26.772214391375947,31.09675658481548,31.044132930255792,32.30563123883969,35.33965895793383,38.0698152684898,37.13073891937551,35.363829581218965,40.582137353559006,41.7632123048576,39.263077986141234,43.266290342166485,44.13571854369944,46.4066582410172,48.978647405992604,52.100324789476126,51.97554705306553,50.191286290957194,47.44212965745648,44.492174867141124,43.005185523775154,40.25900745004134,42.50625860735197,43.00754311428023,47.09005029010542,46.475348928996674,50.36632780228018,53.71376039190442,50.86723574419951,48.51886409730119,47.26929803098701,46.38818097962713,45.01261413694791,49.89814560842862,45.97974137341294,48.14021670003548,52.10650643068872,50.21997885905397,51.83002668280551,50.383105924760436,54.42327002556216,53.652740947370916,49.06596776594321,52.713403016760104,55.8757264955799,55.66712253660235,57.958257026698774,53.02674469398232,57.632326964730076,60.0170860050767,56.08313856987269,57.331138924310494,61.62393703358214,59.9381114606181,57.71972567682191,60.09049222470231,59.06703129597075,60.22704444312941,57.00505875467372,54.061617247928105,51.60712321924419,49.45423097808,46.620281756686424,45.4030948807735,44.04207566821068,46.32846915569828,48.80044718219003,51.59372858303739,51.3600120224632,57.54778360262598,55.782311867507104,59.05656234911316,57.41219957022668,57.69540264579741,55.69701033934253,54.01974795028151,52.164493668558165,51.39792811037585,48.29157732575985,48.211121202424266,50.49769591434043,52.16885871440722,52.06316043831418,56.01900405443156,53.83293415173735,56.9858744873131,53.93118310542872,52.11374528279073,47.39001978437837,48.07540974218498,43.67218194804889,46.17336774169618,43.51376668084114,44.76206729342111,46.030698330712625,44.05781923401174,45.57440277986433,42.41292579778644,43.68507184098285,38.8517056807159,40.340070370219685,37.875010261731646,33.799968926354765,35.641893082457926,31.395951295552326,32.749030524265784,30.892153340555886,30.74861155818932,32.63582033529587,31.542999928685518,35.24017919811697,34.28211982544677,39.48447081035953,39.382745034161225,36.34158262983889,33.89813387029269,29.938975106513247,28.527649492575406,27.137386648002384,27.108685959577397,26.74685354143863,28.856004343829177,30.190140866744414,35.11951208054987,31.87343925294018,36.01320492586116,36.81278130296785,39.594804881907145,34.94064704737472,32.724648313269746,27.70809508724028,28.399623937458497,27.71019852737283,31.645543894702687,32.49705069504188,37.73297017082813,37.65639312251056,35.98291937839661,39.71046569168887,39.532562437255976,36.34744472240521,36.64455324359679,36.00395322377737,34.2356692339957,35.16293212647061,35.94440447744374,39.76593545896365,39.504016477605965,41.2751392810067,41.860559194799116,39.95653373663361,39.549076325108366,40.582717403358885,38.49943305323517,37.217737625879764,40.90720308199877,37.0263821631189,41.5094549121212,39.68974895203943,35.69271531651464,37.01976330199607,36.72551341875252,33.21315091782154,31.2910480638622,32.638451608286644,33.139769625398266,37.945663372161626,40.32909827280817,42.66304723370606,44.260305791044104,44.238047690355934,48.865269932785125,47.45103066445053,47.47551140897973,44.2817467225089,41.03731454030878,43.41387134948978,44.75652368524582,42.53763336195277,46.80891311525731,47.01043663429308,50.39155841285487,46.54279278310022,47.07851534226373,45.206398589546595,43.60406656533979,41.05581615650183,38.66310623635316,38.324827904299426,37.05136495440783,32.64446795441636,33.81616801799584,30.44584829723331,31.42922214679256,32.43514660427635,32.99754169390452,29.636296006352232,27.52095945111982,30.396586118315145,28.12612147676562,22.613749550817996,25.6053828736404,29.432910255039346,23.849633179104856,22.190916080970297,25.386425429724163,25.198150498405166,20.03585972493523,21.568978746124227,20.579840655457975,25.245435519633993,22.45089783665757,25.071641851295876,28.532792521903882,32.38697192816082,35.59651800006518,37.471172442094556,40.303542448695254,39.31951566422095,42.48155821701811,41.43069243457728,44.405353791484494,41.89423097336176,36.70458628043435,40.197397331105,41.7213039754145,36.96724070360183,36.05935280271383,39.41224945450066,37.10229365527166,32.878561814284495,34.29736618394793,31.613471263288638,36.307726165014216,38.91953641769015,38.23065079253922,41.57985845784565,44.102154853681874,43.00712838489119,38.44752923939268,39.53190637622962,41.520731622649976,37.51969159674607,34.73181963254276,37.180715497652876,36.10279358444966,31.970857865156727,35.07458824146284,36.18843941704743,32.31010230843411,31.374350111873103,34.66727330728694,32.883756463935896,36.11648109968268,36.06306266773173,38.39427841962335,35.559534458267265,30.856435329633264,34.42244440340856,33.90292517937244,30.32195603687774,29.85644491426214,34.41245433401694,31.21115414587831,26.671636950122245,29.88387205225473,32.75993030529744,29.00524441161025,25.53463245009608,21.2153697459276,22.2468417607667,17.47734692264361,19.37762443648427,15.666607118859886,19.099551024670852,17.654489456968168,13.585572634830234,15.685337968717006,16.51752585094926,19.443270877236166,22.960303288141066,22.77883881534122,27.11149754542935,25.65841667552579,24.729312263201148,30.412086520735027,31.875426334263405,33.745729551973184,28.805664404408525,27.560959550072823,31.083618182521768,30.03008019079006,24.94338744181639,27.665487269376868,30.99689179204365,31.417581499548806,34.13023131483823,36.11130556344774],[22.0877440737252,20.128745711434693,20.574109430456367,16.633256954785004,19.5092577980552,23.217167105424657,25.375001923619084,29.868319632524102,30.07926559588614,30.89726342576773,34.15697185560163,36.981374497452855,35.40849570905281,33.81740051502112,39.021850234498,39.95411447130775,37.09585077414185,40.97060419437931,41.56831269346513,43.63187158074978,46.075019589918114,48.978754258572025,48.81483426755604,46.870641375399735,44.14791493467493,41.43431383159421,39.93123758473356,37.455409747632046,39.98307537984569,40.73936007966711,45.154855389335424,44.55364715061304,48.63374300532663,51.744809259434035,48.663494443131114,46.10758003181321,44.83737707621906,43.53033778194236,41.91674831165114,46.56051451076182,42.51760210691906,44.93914863956968,48.78131380200569,46.667308628232526,48.19030840079573,46.571028284408406,50.57299841932258,49.92648812407357,45.22517773683879,48.716349846261195,51.99978558029757,51.81079012605737,54.23755495120976,49.443024526976906,54.15270502205318,56.50793417422671,52.63324893909088,54.13957912584683,58.345191599793814,56.462159219594064,54.45207171141701,57.063166284096525,56.259934956316265,57.3673036520896,53.98516823223541,51.174125773061675,48.95476134567362,47.02132464967621,44.32616985486196,43.450974830136914,42.09505014773812,44.56211176175825,46.954805796093375,49.41879354184778,49.22640769383956,55.35030649851138,53.29120345607728,56.700227827364934,54.837582869495456,54.851645231783145,52.924152082529346,50.981542617552854,49.336504314840184,48.28361454001455,45.06425266756775,45.28077840651495,47.58031188237728,49.560776319141645,49.4553336189502,53.7310115155676,51.66801635421796,55.00715176305683,52.145558575544165,50.481348325943344,45.81038873744312,46.81210003178345,42.44244691592715,44.77909880664052,42.20843594546186,43.73452587733321,44.38962126486815,42.43903439692899,43.4787235913588,40.3226599544949,41.11295126575312,36.405797939376036,37.92707697204891,35.22634371495159,31.39046396077128,33.46908855324936,29.352971298675868,30.368534441533697,28.87880176419873,28.268857814838693,30.388901892079442,28.945350523416245,32.61984497198104,31.358232005511965,36.75678048200893,36.970959801280486,34.073918449922,31.81536341208939,27.56789170737308,26.270291803160596,25.15861843803929,24.481753431495186,24.666388514019634,26.21520181522728,27.4920064375881,32.26763074596652,28.75992513233448,32.95016757024519,33.38771126255521,36.43350882253885,31.52552102891449,29.490960177229844,24.298143444133085,24.987016461984744,24.325749446248295,28.295944762664774,28.953850006131375,34.11451462728046,34.3686577803645,32.76287075367762,36.468953023527206,36.65179948451666,33.522655851544634,34.185940308173215,33.649715110072094,32.36411762945154,33.49440750188393,34.81458429056341,38.74021954831577,39.116735632942934,40.58601987854825,40.706669934785936,38.49329796953221,37.852801035956055,38.58774733363077,36.19706647265344,34.38960292258355,38.06493496056886,33.80631547799239,38.19259027927995,36.036256055365484,31.804028829276426,33.108898978987966,32.57523551191301,29.1300330215715,27.310783606295413,28.852200503298384,29.55754131215672,34.49064802414804,37.103336996236585,39.65839320436333,41.529455954046156,41.72338450658772,46.28582510640014,44.510004426627845,44.5243368150306,40.98724433179744,38.06088208593665,40.0876830645011,41.20789422092541,38.937643455696936,43.15774996217108,43.438662580600216,46.61573992202138,42.63996477917703,43.078504171963424,41.10960809803871,39.66664379993151,37.09651122305106,34.826251477910105,34.61519782233424,33.44880640200735,29.179284231107683,30.683148701701086,27.635974673852193,28.928366578980796,30.31400272176464,31.199474049258797,27.699407259601198,25.678101886740954,29.031666290785292,27.000810175501844,21.26058155788712,24.663545362594668,28.965049148704757,23.55374209633304,22.103757497196128,25.677182152859512,25.6842344128302,20.778398424415826,22.55852107643987,21.002456057374776,25.941214181815862,22.23176790132108,24.608412334144493,28.42806285611282,31.87079870062282,35.539548647935746,36.83480542804715,39.50632815480196,38.13568862838644,41.073719169830554,39.78134515224653,42.51213085504144,40.17144584336713,34.81298522887458,38.00989567491131,39.42365512096963,34.69834367828319,33.55787727524042,36.61616842796244,34.36343652856986,30.204676581697075,31.160840418420168,29.005222606265498,33.6579891967375,36.49226895281724,36.31458315323,39.701748860711135,42.63421726962715,41.38320503934517,36.71216636123152,38.36047817898196,40.46373682204735,36.29954220068432,33.74045134734442,36.66713276555297,35.7605594275936,31.621070045958287,34.90224608341984,36.375615686004956,32.72974108003962,31.72090451655832,35.02089256873741,32.89757659485575,35.753620250971075,35.22543041534943,37.42848405079114,35.04494066885455,30.080907938123577,33.13396133626257,32.84261235009867,29.398894517441718,28.25238375207847,32.806111440961864,29.946660236871164,25.113378707357736,27.738441103214967,30.871159475970146,27.40311041694653,23.707229723883064,19.474521491222553,20.617471014472596,15.988887057149766,18.863252687321335,14.987878633298392,18.192730747390797,17.109188411493317,12.77860691089951,13.935936085764014,14.276272344240788,16.76837027286562,20.721657083521944,20.421050706196038,24.567294195055243,23.234268821676896,23.14778781513112,28.861230779341238,30.717219930073274,32.632599721774454,27.622013436208974,26.94611415079115,30.769032240840946,29.397194218635033,24.64580594886533,27.97579885712545,31.36140698561931,31.60196739349282,34.15224844541622,36.03321503677202],[22.23090517548316,20.410717276744123,21.086786366362524,15.951717559469355,19.073716800470145,22.019542936632615,23.696616639267056,28.28049735239949,27.80764620235262,28.200345078763803,31.270188270236588,34.43014962827176,32.79881770811844,30.69944826175836,35.920599997834444,37.11773628360308,34.18293334697818,37.89660192227239,38.30548316580625,40.73079734015015,43.0488207474233,46.20928794226886,45.88126271887113,44.009645458706274,41.416692273138715,38.45859460348955,37.257499734892995,34.70576846343384,37.26541887815789,38.23099751820222,42.17388621630309,42.069467792049416,46.03657294086863,49.031001288274396,46.1334515827114,43.45593456377568,42.599050697374594,41.18382479262887,39.77759717527293,44.789013735529466,40.46273408098153,42.465364481602215,46.46241949749276,44.519481679573815,45.9112872029005,44.45700253669657,48.547967729575866,47.9510850643287,43.46576002661781,47.19386435007261,50.47606477689844,50.46954288595088,52.73584194006563,47.83633613103704,52.65868439109177,54.69686573886292,50.615610354139534,52.01691198059167,56.23336249900664,54.3229091166993,51.964634363843025,54.37408439571183,53.49805821570816,54.366710664220854,51.099811726412696,48.37528733170386,45.73635636397158,43.84060933580035,40.831089102576,39.930633116476514,38.3800188409315,40.63843404385644,43.260685717402076,45.82285868378071,45.90195438756026,52.06149588754524,50.306985683219715,53.809257515525296,52.187824227437304,52.42002348097511,50.77624088207667,49.126376802812835,47.71728973797236,46.953047684966045,43.5744679289736,43.44397396042467,45.369385204739366,47.408593947800746,46.85045787216087,51.07163526456461,48.71295856503892,51.82410757074634,48.96849813784674,47.458745081874156,42.79786889362046,43.63290068765288,39.27273149769896,42.08165444284323,39.751319987686244,41.70449410188073,42.33941104118635,40.99106243655247,41.88452149912337,39.27954508577961,40.45448654184487,35.88093667032011,37.940482079359626,35.57082048540786,31.794372094406803,33.39969118656037,29.005176403635375,29.388838647009127,27.34465155783645,26.443011158276384,27.862122335840862,26.279983483761356,29.74305089859,28.371879548188666,33.43592933402938,33.72376583890912,30.64159420021804,28.509504437788614,24.301259849326126,23.36964736499073,22.67524187648451,22.6956246272087,23.646367745378218,25.46299082204734,27.33419847488093,32.102062552681765,29.21882841136701,33.66800358118027,33.79566346703713,36.4811780173012,31.379093210224994,28.808798776581323,24.129631281570113,23.879709844567387,22.53180645797714,26.369719803319217,26.604264287788915,31.818099963203803,31.760389655138155,30.40129969527206,34.24603003872577,34.34470396437925,31.262947328800056,32.05892945748674,31.946320746393173,30.5426347537681,32.22033813066245,33.203546606660936,37.523988483752376,37.69614134820038,38.74989685617417,39.00846506543472,36.58137246760077,36.40390785012506,36.731292164846785,34.94860539552083,33.013595765881384,36.21921550918634,32.05089535803821,36.55995655541983,34.84272387484141,30.633473971796178,32.558509603583815,32.25100463230779,29.148270892244692,26.745135329426375,28.405606876135522,28.523421182528626,33.492993084070534,36.00812717710132,38.33969297668831,40.31109658521552,40.02227368756008,44.90835326349122,43.145828308715224,43.518741934766545,40.04739497504083,37.38184797107686,39.807573140194066,41.0579112635382,38.4854762229022,42.26790748019829,42.06348987771456,45.51648503397478,41.28822362408013,42.28082839823608,40.63036009752656,39.235149521227754,37.15942925089115,35.12407508923468,35.276331410565334,34.60907807282953,30.232421400918792,32.079067101658914,29.32289653395482,30.109265138063595,32.13294156678081,32.545122483320874,28.764838429976614,27.544836772449102,30.98387036814609,28.393641258737894,23.046227508092063,26.936559602779834,30.80649626556445,25.026109443391327,24.170453200094258,27.826869956003936,27.10198814176551,22.376794944464077,24.885324267550697,23.699777222661478,28.75834732842298,25.82988611783802,27.746032199277565,31.565046755710775,35.2644760724383,38.9015615248998,40.32154102708281,42.64524549050546,41.05201482738922,43.79026356443637,42.080391269419,45.044550144265756,43.06949156689921,37.40824054985225,40.35573305132525,42.18625453190832,37.58265234981411,36.026099441163225,38.95833103301681,37.25526038242011,33.08004131873053,33.25771510919067,31.211023346905044,35.222803367865666,38.30484984881458,38.21454396913915,41.26211966132421,44.298279939088,42.54941978491972,38.04983381558419,40.015726146068026,41.67433856333239,37.241545818591,35.17102729393049,38.00732779886114,36.78081761085066,32.890453061641686,36.63697414206776,37.8399520236295,33.917882823713626,33.55567292049342,37.11699331667098,35.22699767496454,38.089306782430945,37.33964820095425,39.91594295809282,37.811316997359015,32.580106795863806,35.699376046921216,35.88985613792826,32.46036296166186,31.041817701027767,35.98503782516828,33.52941282640926,28.44445308307504,30.844862434731365,34.43872029372592,31.27002620437455,27.431699970010413,23.027624284600734,24.74755421721625,20.13663728075349,22.884365514300487,18.47839939200318,21.036585945701923,18.989500444433325,15.300065154221569,16.527217702664636,17.508282637726072,19.388588758204676,23.142072725851882,21.71627543169156,25.668669888001336,23.437486422773144,23.690270119570666,29.241785484332514,31.421374106295147,32.706951403334564,27.549863947436922,27.4808398593711,30.999090293492202,28.797757791362862,24.415022933584915,28.254521531932234,31.190385111387727,30.978058132841934,33.44262244418003,35.22103247428059],[27.01342307008173,24.998618104216085,25.301123718030187,20.28214809244884,22.52411129777652,26.278637601986603,27.62838849963933,32.27717871303276,31.950229282667546,31.886222526736745,35.03889948059584,38.34504268920632,36.15114407585656,34.04148347220016,39.18979149152704,40.242320496074264,36.87713301137838,40.274431273017925,40.08241146429052,42.43590335094249,44.36955303235706,47.28828081363305,46.68224292656727,44.471483808682216,42.14460824207389,39.525977967457045,38.59049263027019,36.52913213382941,39.536556906498696,40.93858206335991,45.03730198412459,45.159661485847174,49.2607799587626,51.93405955045237,48.84840448162334,45.86665623753768,45.148500004339255,43.07903082528379,41.364196146702156,46.023978575364296,41.336986247413826,43.637613546629765,47.4457025095838,45.08593280091696,46.10833081707194,44.24593343352055,48.2796116280435,48.14854033049259,43.48285646163496,46.83199289607773,50.503781630880134,50.61912872935686,53.17389747502829,48.59002671345275,53.642793998228626,55.50259300013716,51.47641362761238,53.35184819298454,57.38252503032727,55.03431722216341,52.92508777375753,55.67555981031474,55.160413186510375,55.733777891315974,52.265077775677895,49.897020603201135,47.33772786167818,45.87344334307376,42.806687711064065,42.40315159175981,40.66756392210794,42.88745327881454,45.66624589133827,47.83392944292238,48.24615058747233,54.30211325560954,52.35630429608227,56.100296913387034,54.30593239059482,54.223999082456594,52.81815790252355,50.846563745321184,49.82137323205308,48.65961412539208,45.09294889224109,45.38055891554382,47.19255446810927,49.70885027075953,48.97416278310668,53.59363140811774,51.25617275572567,54.441243126524576,51.83887225558499,50.59539951582266,46.02850856850342,47.07243336729253,42.7846580887233,45.62735385252083,43.46466520001528,45.70262362301918,45.81380284957062,44.54195278769411,44.95190012355837,42.37250188210297,42.95490220843217,38.55766362974537,40.51794490191258,37.797877724156244,34.328333386333675,36.30673705242869,32.16297533572297,32.272291748777164,30.662119788837884,29.21716737510493,30.72277448969752,28.618638192865472,31.858650438652425,29.849635713759675,34.8837672426036,35.83515225000874,32.85297679633979,31.14211070721827,26.624826849257833,26.13654789465173,25.96787224285608,25.360002376245898,26.95041475704242,28.085016061055263,29.75872054705989,34.254740653505614,30.87929501916637,35.22844014224186,34.89822921532167,38.084998782209325,32.68259767305768,30.52245740836948,25.582441278974663,25.36101477851413,23.928015710487585,27.711898515986377,27.167230865725116,32.148819029565786,32.71592178787283,31.72391363449351,35.562070671210186,36.285263464042664,33.35335712332628,34.71184622340498,34.808673694406735,33.93804798330451,35.802236728782255,37.22053726588107,41.571786589782796,42.15822559129159,43.02016084686526,42.95662894173218,40.28111360210495,39.920972969237724,39.92581271415398,37.85964161688032,35.275804792073124,38.353218340728354,33.62863156917941,37.9419789894114,35.65141236495647,30.901930822585896,32.84879646594925,31.845639985986807,28.970618959767116,26.927875521827648,29.05520927353977,29.591305489605585,34.751082393868124,37.640742917567856,40.28829034803993,42.640471722096024,42.601080442358935,47.39516665101631,45.14572035359006,45.51270872248254,41.528529969504646,39.37717457982153,41.18289597552503,42.0022191269247,39.40010798099724,43.054418770173285,42.95138272302376,45.96951620749035,41.35788958669643,42.2196133136722,40.31757772130784,39.37877480956271,37.20252888546657,35.42597375975549,35.71755059968594,35.023170165492566,31.050474774874694,33.220360189361855,30.800757670910105,32.23898226623738,34.272449237349804,35.26426607109821,31.549722115415573,29.994192759925337,33.72139244454939,31.662907540488803,26.014208814773912,29.800649644777558,34.195384327218974,28.758680196219686,27.645164393505414,31.36950934273823,31.160269063836232,26.411529857067954,28.496179780212834,26.890790242298813,31.900061731255736,27.884148436921098,30.15486798467594,34.111502896023076,37.292924909901494,41.162267713660384,42.121959456587554,44.70927724900482,43.06225896173969,45.77751968609906,44.21763574851467,46.7251398937986,44.59698712241414,39.11832164604852,41.929565739536066,43.21993955904349,38.590254697126575,37.177789848991424,39.77205488268366,37.60220683693656,33.63571399183011,33.863198128289454,32.53633488156948,36.87775743410739,40.030091408039084,40.42689699117025,43.69724287668782,47.01500649807256,45.422710319666606,40.77137494781722,43.00223263019275,44.97947915377168,40.58467427170159,38.448557930313555,41.61528943572897,40.64908544875233,36.652359089216624,40.21074779926917,41.73150054936858,38.055611934404546,37.30476710207688,40.686644674594085,38.49605375173034,41.152997603228535,40.28239914001266,42.474834322124714,40.44326437301528,35.31652549574202,37.99159725625869,37.9173964898328,34.60932180736157,32.93930793423564,37.41467122827089,34.818296075786584,29.88022237664252,31.883071798605492,35.105690678800954,31.85945054221144,28.113468669871864,24.188186835390646,25.02085474835442,20.748412548965877,24.272612562879207,20.584342909791953,23.578289513053278,22.435268460427984,18.264848837652025,18.85444306112729,18.81230393415046,20.6731605757873,24.92822233995357,24.127132449449892,27.875347874408387,26.165195634972548,27.072155949321985,32.62883066920401,34.95930831288223,36.48662030401697,31.37346044832597,31.46256153426595,35.226607730959174,33.087631068221306,28.83425763980984,32.75099306668754,35.83807136429273,35.66300383515885,38.05223993663091,39.770072243175356],[27.420480341208076,25.47814321999931,25.858120156813474,20.015517918541242,22.202875320419064,25.303480394850844,26.104178274015432,30.73589885864404,29.830975803212713,29.274715391443937,32.21962949870923,35.808682143148744,33.47974398960953,30.93665057302564,36.018898831005586,37.27361237908183,33.81035686614798,36.982319749846255,36.5521927684414,39.22152760775312,40.99956142593142,44.13399140024525,43.364848254654675,41.2234758530274,39.03868877253225,36.216031924362554,35.59366105814915,33.5179757368379,36.571599201403835,38.20686386466171,41.8549103684794,42.460735067071106,46.44547886295981,48.95194382696213,46.03176364551554,42.925747856491284,42.61320084700647,40.40023945388794,38.87619669710841,43.83679465462681,38.89642787032735,40.78854895971586,44.71590885455197,42.52363735643787,43.40953131699538,41.71802954257506,45.82166893038625,45.73383991400464,41.30518423610992,44.872947858120256,48.516815135410575,48.80929216095794,51.19438661380127,46.534402576138696,51.6729784226019,53.21696480037168,49.01357813747262,50.79285995613215,54.81019484304527,52.437794912649935,50.010767216491644,52.57477946813594,52.01129801476618,52.34760216078601,48.986366431064035,46.72538034890711,43.794810909570806,42.40737670317699,39.06852669984544,38.70398992152413,36.78414521201152,38.81096012927651,41.78955705124491,43.98620103983556,44.66994178213823,50.72042544816575,49.038673079941425,52.87152269479941,51.291434753866,51.390725588150964,50.273604785540215,48.57038333595851,47.798626703465,46.896864653084414,43.19576677822599,43.17222983393852,44.60796781257165,47.19794743316086,46.029789312810145,50.609366421416325,48.01730040484779,50.99102635912759,48.43843837481219,47.37693340340627,42.86610923136406,43.79392679295112,39.56479601263695,42.803593665033,40.9085315297239,43.56600195754019,43.56397063416812,42.87276504946835,43.078206973927436,41.0447659866274,41.929128818872265,37.7206421795959,40.15746172480826,37.75847892248705,34.404586356690096,35.944732399464854,31.632239488424446,31.122173779114412,29.08295902533973,27.31791777089584,28.13743923097342,25.862537672553955,28.81273168643795,26.650365405184495,31.305279415836473,32.3897144455383,29.27870099621998,27.775639109589026,23.319970576542946,23.278397121173818,23.615210560772358,23.583888714650563,25.93641132751887,27.20854124652017,29.3827266097425,33.77743292457135,31.021341960232903,35.548485520879936,34.92395026374923,37.73642655463697,32.213358721280315,29.59337471906572,25.24182653340043,24.122802919267958,22.040350465117307,25.5954802013495,24.574781701850224,29.53472821607875,29.81356242406862,29.104998046843154,33.03188837642101,33.713704067288376,30.880323785310914,32.40937783903177,32.931807424520905,32.039959390819476,34.40993082700668,35.574374742326775,40.23564422225038,40.72400187982156,41.14888572234819,41.14127206692812,38.25569800742288,38.29822950173622,37.87749183942582,36.37330379276474,33.640989491952396,36.217537929959605,31.598269321211138,35.96600722846432,34.10984422841361,29.439479826882913,31.972949901388947,31.2209144999404,28.72896807339253,26.144337979834663,28.34791616042356,28.307607034065203,33.42741448382941,36.20191453670407,38.622766481792326,41.0731923981994,40.597843926967045,45.6471182663275,43.39396556076015,44.10034893370038,40.19092326009793,38.33695677011013,40.481429927331696,41.411756661235685,38.54201677183454,41.73411566399688,41.16124624290841,44.420115805371964,39.5973420842488,41.00030930299089,39.435006800480295,38.54307230068109,36.87736970402763,35.34539697453746,35.982645148153935,35.77650883975328,31.746165277718532,34.20202519394131,32.07838830248257,33.04236880613082,35.64193176301902,36.213647499736794,32.28908732462135,31.460208318510205,35.24843846286426,32.742335885366565,27.487477419219513,31.664505663004256,35.68678595514355,30.015136107444956,29.419114672776637,33.21504505380275,32.422506265896956,27.908070934441305,30.58242772399637,29.23330933379282,34.353135843894776,30.96645007665715,32.80070129825088,36.77340857813538,40.165947683979994,44.04131718452919,45.078930210095265,47.311933214535635,45.43605269193938,47.94346932360735,45.98328840706401,48.69628877522102,46.93446155093149,41.17951998285518,43.73601995195066,45.42935326893639,40.93777880300391,39.130342577269204,41.59642021821405,39.98987856451538,36.0216028728164,35.510416185578926,34.27553280199865,37.978217041509815,41.33967097422532,41.829951066582744,44.767056221782696,48.18553956053723,46.135503589983365,41.66705132988868,44.209164348743364,45.78157740124107,41.166342750085214,39.50176320903594,42.60758192453272,41.38640475175005,37.6414317708085,41.593627342217275,42.90636578699665,39.04784490738317,38.847686862614154,42.43907358295749,40.429665409905766,43.047132579035015,41.943543315801406,44.45799937567929,42.72062061348573,37.35303882386953,40.047912377349505,40.43338142371775,37.152778740014256,35.216899329344486,40.0470700024382,37.85724337174494,32.67935482939327,34.47313307347179,38.14461834328631,35.206872961712506,31.319871830412694,27.215579999350545,28.658164854554382,24.3641863971972,27.74617449386583,23.544613041759476,25.9749338936053,24.096840946404168,20.468893011644052,21.07896059111441,21.585855695354155,22.92566786784261,26.933566305273846,25.178169599643358,28.674483074948895,26.221565626911524,27.472728088017224,32.78438778719099,35.39980260521727,36.36186935266838,31.199339163603163,31.86743974019021,35.34832000212893,32.49492046418351,28.695192396792702,33.031962655954125,35.69906417134389,35.11831629182689,37.37025954782008,38.95725573904991],[24.127705263939475,21.951704662325422,22.093563998046136,16.088012952506055,18.085112164982256,21.302479341225794,22.12477159324684,26.776905382886415,26.12658856883748,25.757623967283216,28.867557170536013,32.284875410427055,29.995386910293682,27.767873872668734,32.910209459782294,34.01416026222043,30.689567761884003,34.129469870120815,34.1342614741017,36.58090981797252,38.68486633590505,41.79640219765044,41.32725480283603,39.35939790837913,36.874032013982315,33.988020535993876,32.97725649386503,30.658860505065558,33.51174147411517,34.87134074261398,38.802735343343414,39.03643667077567,43.083678557966365,45.75394459608346,42.763344450275945,39.818745387800156,39.222507954445156,37.323710337441845,35.83470867507489,40.841397075011095,36.217889120324685,38.17965043991604,42.15305953003226,40.11969430041657,41.345640268420134,39.85078100697535,43.96535928720193,43.50460810857931,39.067609973105384,42.81411474645061,46.1894492584624,46.32431666038531,48.597328389206695,43.76296569887726,48.74228093320122,50.537775981888906,46.38730479928989,47.949111949959864,52.080268563824724,49.98246989709797,47.58860511693763,50.088488274217674,49.372514743699725,50.04419943407801,46.70151375637337,44.16109434916878,41.489046535163624,39.83598470599923,36.777359611362975,36.21126973144756,34.552811782903134,36.85849091140361,39.52373184748531,41.806366400650504,42.09246572966258,48.19119032101798,46.34734463086265,50.025931355026906,48.35429251689799,48.47165932060805,47.08499315777212,45.384897815795924,44.33981487974199,43.50515665558886,39.93256307051687,39.8484595258949,41.52223159393399,43.88711607079067,43.03464003392924,47.510698360985224,45.09347974137031,48.22972785697204,45.57892918750941,44.32427938346871,39.75622948268648,40.79434193523185,36.51737070293487,39.43181659173185,37.36979023802866,39.83916807778613,39.862026951250584,38.94333523403948,39.2729163207193,37.073572799241774,38.03621991653964,33.74232570481865,36.16383110525132,33.84637151184985,30.41410906532672,31.877215641882856,27.529548050596723,27.130132190804776,25.114238489592086,23.533308747657486,24.648318541651236,22.601603974385885,25.83707878939608,24.066833320679144,29.07966167999481,29.746139674117764,26.71327947198105,24.897334788848557,20.447761660807924,19.95248077183985,19.923931851744165,19.763049457693747,21.848011009264482,23.222298238889763,25.413429152045875,29.902890796345627,27.29484204492451,31.86604439964607,31.438757433053695,34.06088288203289,28.670812094977432,25.92892289094048,21.604158205706003,20.60042670893189,18.740210892529937,22.442506450120742,22.132254405169625,27.288829926039508,27.33282940023351,26.233517499784416,30.131719493822686,30.53651794503395,27.57791109418067,28.84259996594561,29.14225815148637,28.174238879899075,30.391673157273807,31.65366173690359,36.24136816259172,36.88106818728692,37.373689909253706,37.27156754646962,34.44439634681833,34.34935990570605,34.10548748750145,32.46465320825779,29.948561105705004,32.7626119466182,28.322467015069368,32.78185588493505,31.07306616682766,26.698655489171855,29.055547545829718,28.70956270402841,25.984971524685978,23.259853719091087,25.16960209770173,25.026472266920912,30.076986919045112,32.71389227537862,35.07482036178003,37.359500407238684,36.95146711628844,41.9485458264937,39.86588290774642,40.47226950263872,36.75564673894156,34.608118952563714,36.95702552312945,38.081651507374026,35.273639486245074,38.66146985071461,38.18817325706623,41.63136287306804,37.134574169346486,38.428965349587514,36.93405513464729,35.72512272756837,34.01397334556428,32.28951388527829,32.82167313493005,32.62567852587641,28.393848771990083,30.73202939397494,28.539238419778222,29.22456167884971,31.940850618476524,32.31113735772396,28.341932147702067,27.76172823846465,31.535770270815938,28.882393170661796,23.80875494750853,28.14759766253955,32.02058994365277,26.358869929228938,26.02302855226068,29.881635614827832,28.93846109570325,24.670440566129702,27.622554309944967,26.26335373663288,31.4333635475792,28.350498219000787,29.78349136878179,33.76895712904448,37.23589558329505,41.1486944459106,42.17813093881529,44.13322049837782,42.12500621764468,44.52062913626053,42.379444172894175,45.24929654241278,43.67356252512203,37.78091560521123,40.2722490741845,42.25602690851622,37.83767113223061,35.85069445495852,38.39910664544526,37.150832409616434,33.11135592555942,32.371413029452825,30.893339647022387,34.33549766796709,37.709576883319045,38.10715944923475,40.91527197819295,44.31606731049136,42.14931978483321,37.74026056320081,40.344335367605105,41.799579809727994,37.14120537039465,35.60757455705581,38.72936758326351,37.48119038731438,33.81597354629822,37.89377029168149,39.21123319353637,35.398657696910405,35.342252568254466,38.98617426641794,36.995283152749664,39.513971523955874,38.26809640279661,40.9196320529088,39.37229394922214,33.88743532957442,36.57187996535274,37.22984653974482,33.988006536502695,31.91588887264238,36.98131392527385,35.08991295601703,29.76459608820632,31.502954644571055,35.50097204095795,32.814710834437776,28.83240889847555,24.559382851135574,26.643994439631836,22.349486625218308,25.53425677816438,20.944794244572403,22.856840023594607,20.670133604835037,17.424571675975994,17.91245101083704,18.83450236119039,19.844095707278925,23.58276128855203,21.39025973453156,24.848006570874027,22.19446669308021,23.44616832042483,28.700066342061007,31.365384569848207,32.26396879237479,27.10579953592237,27.91467145862716,31.396630597329946,28.48220844780706,24.791134735894715,29.291819195897823,31.934198514845093,31.315175107337943,33.52169189363225,35.1070568624472],[26.1342957365737,23.584939104705807,23.163339112984517,17.91943260071118,18.939770543369058,23.4806843159577,24.418096855412326,29.05128103549895,29.156615975683827,28.838146304356723,32.21233156489734,35.39535067802536,32.71205191349048,31.037533386360465,36.088628648573106,36.78805825604617,33.24361228991081,36.63314095071004,36.468705491785286,38.440664183147376,40.44758010055937,43.11679814822911,42.67944755756295,40.446572713557714,37.958557003012984,35.55709665789948,34.359034145205904,32.44113296592363,35.54759875413636,36.98796889526043,41.52901350923021,41.405626240589726,45.665595930372646,48.2096387173246,44.89550289275715,41.866037780466456,40.94466050909328,38.704798051433116,36.800157661707274,41.21590646497172,36.64936710805281,39.23478061215006,42.92699558549499,40.47038909589603,41.63277763825486,39.744898636402965,43.74243435646744,43.47386777433005,38.70843437200356,42.02483454493221,45.618296787142654,45.65019251016266,48.24282418965023,43.68502734146541,48.70668671078733,50.698282634649914,46.78044239851961,48.73644489743104,52.74317008502275,50.413453177044225,48.52580660896474,51.44162846371934,51.027341817676664,51.78026271798006,48.19464693832409,45.776539538623545,43.637386229848126,42.215621656699824,39.506958099364574,39.29746116425483,37.76843543689617,40.313622006535496,42.76873291148989,44.66332325452429,44.83780689888552,50.8116467451404,48.499403520707794,52.23085891455075,50.187788801592895,49.87160615285031,48.35778795807155,46.157935522369904,45.153648134289725,43.78281759691512,40.22230266203707,40.7480631049261,42.713540513499915,45.344103382887795,44.83160369920073,49.63275531780053,47.54991782736584,50.98613660724095,48.51525254290102,47.28861320668014,42.7895097603082,44.176345689455104,39.95442407872939,42.37701030797002,40.21038191569089,42.51361694015181,42.10882865280061,40.71337204878634,40.77738951104613,38.126428187722894,38.312017571862626,34.04450069932156,35.996542053915014,33.163976152532676,29.933499920088792,32.03081957749341,28.08665825995908,27.95147432885548,26.765705504494328,25.03149795563268,26.924024910989182,24.66864387254444,27.97690597316779,25.938923963946785,31.31253639044082,32.29592823752704,29.573736017070132,27.894536440581973,23.232910697298344,22.60333201814243,22.49384818102787,21.141581201714885,23.04082667616223,23.634654500994923,25.210552879917305,29.507540528300048,26.057467754381438,30.410888398660084,29.84841708901752,33.11009094528546,27.615283938593763,25.591521352247067,20.612465002728822,20.439017698332297,19.205740098922483,23.02118389216706,22.698044450426366,27.65889724366367,28.424880903812543,27.273261192639065,31.012780202930106,31.91536657413796,29.01423810009043,30.54147484382321,30.588243592311226,30.15047223106661,32.03913597511915,33.96882846087275,38.256228904749,39.466434215968306,40.123497856179206,39.602036247242076,36.75250706669902,36.09186421753406,35.95068369871272,33.541315293942255,30.641328395052916,33.80742967131831,28.890798991539967,33.10527257753546,30.597127372089975,25.832559559595342,27.650054429548973,26.678469745641927,23.763383833010934,21.727527135483246,23.86789245673872,24.536523249793305,29.713441674353945,32.70720626054107,35.49632457501415,37.97077975161468,38.18070008681714,42.819065988897385,40.37124019481103,40.66098611947303,36.51968982598885,34.51205816770308,36.103568968728595,36.8355024006936,34.235823737078114,37.92962639416811,37.95975319070265,40.8947026545654,36.393519194598774,37.101463032784395,35.173024698880745,34.1834522285019,31.991980953410636,30.236544405479002,30.60605565774145,30.06747666293568,26.14715719091049,28.548977100012284,26.46234007361028,27.943455394611526,30.37320064427343,31.470267437852897,27.693627523880075,26.452914508025668,30.470515295715682,28.55128520886301,23.04260518346722,27.13699949806524,31.66943188891332,26.51643922760711,25.76547235692711,29.696766694611274,29.529026497182667,25.249125011695387,27.623595878277648,25.686074172491438,30.79844675921699,26.508421297992236,28.223785003374775,32.35961460468306,35.25176110246166,39.43413199696968,39.94936177724458,42.15351499654681,40.11454490197895,42.52555678841042,40.63721463142424,43.038687763757316,41.232780811298525,35.57341600485867,38.032062237932394,39.44901529266766,34.97158943460584,33.220590160933476,35.5663294493923,33.78474988129766,29.890129062682334,29.45741446219855,28.483091753824855,32.483805329774505,35.80577059758599,36.57653716203997,39.72876594912646,43.33689984882483,41.54182169021846,36.90877286269777,39.62177787831898,41.574526398695376,37.08161843014556,35.264220944016216,38.76461925139991,37.928042850439105,34.0528475854575,37.77150865252285,39.54172886991946,36.127392627105834,35.433434571483154,38.80901285908157,36.41850398906871,38.68370115762248,37.3533181801501,39.52240885624305,38.01643049084783,32.68532578803148,34.90166999685131,35.22963408020061,32.118817791744924,29.834814374533867,34.411242112746585,32.38662373727653,27.207419683695257,28.613510564091616,32.26162425923961,29.537878272386276,25.63036681943201,21.78717503787108,23.21827360991944,19.277442954815083,23.1520354800375,19.20585244825483,21.477345533138962,20.430880910639345,16.620121735400804,16.366786243054886,16.238251290160065,17.26581145501761,21.492211105686778,20.27622270643811,23.658644669372695,21.98249999640678,23.62934855582482,28.98444727875944,31.616213545051092,33.109650355233306,28.08025508469787,28.70822585630274,32.614093623323264,30.26625666543513,26.471054925839688,30.810237027211933,33.86751863393737,33.55467854636661,35.73826493099247,37.3482310618388],[30.127695126868595,27.699546203264212,27.377931140525703,21.78890433150866,22.683599310935527,26.969886586419726,27.47438013121589,32.09998867036147,31.792698661054047,30.92902299933305,34.13181520312071,37.612246521796834,34.60577200427662,32.53335989991569,37.47157635767255,38.29060613903125,34.440512805859434,37.41098457191467,36.61187304910356,38.824567067401624,40.38517238608178,43.05584353498352,42.24005330243593,39.79049638646756,37.675859715923124,35.37429608447198,34.68688433639564,33.13327990853082,36.56610240880761,38.47502395286351,42.67787083557373,43.11500664954987,47.32824052061211,49.544941538660495,46.27987172622055,42.965352863286824,42.48749566541158,39.705600654170794,37.75516341733268,42.13641103144944,37.094508127414024,39.54348793468803,43.174641417833136,40.531509533541055,41.246865815353424,39.149160981701236,43.14359443876862,43.33405887545859,38.634094282966515,41.78227382487751,45.69046468496898,45.97214805719238,48.660291736661584,44.32056088805231,49.5746835402694,51.155021396120596,47.14371288293021,49.38423678382419,53.22372306049123,50.52779865881221,48.56934598860603,51.575756780593174,51.38987362372423,51.697682204389075,48.068493857099625,46.03278249473007,43.60687832995414,42.57422971968419,39.564133042533065,39.715995734792045,37.88283519627324,40.170934465292255,42.942507800744586,44.61014010722592,45.28358888453528,51.16658174499677,48.989899909950815,52.95575135901611,50.999336826247045,50.62593280869111,49.53258505444416,47.34070544123901,46.81264140837364,45.38011991294371,41.59736801815443,42.16435631721824,43.72524399996427,46.73179208609894,45.7280468676098,50.73578967460289,48.43856937008843,51.70725044630961,49.436955241826574,48.53122251406971,44.143377168608446,45.50580005835016,41.37981829947829,44.1894025037923,42.33222780448302,45.08249951286503,44.38183644390754,43.47474773060871,43.15090216256232,40.92998257530034,41.0047733650989,36.99689351381487,39.19298825529241,36.39118683273003,33.42814231900076,35.42552524708741,31.52165925207404,30.846386583171576,29.560306590740026,27.33481403176665,28.685941005807216,26.002171380823267,28.8730032047226,26.2573634932462,31.196146308712922,32.77835403414354,30.012516935823612,28.804332944771204,24.06364584072067,24.11084085031393,24.69250501942084,23.531536974417627,26.262999336075833,26.638106213655423,28.42525951135903,32.447437689216194,29.147787591083123,33.485646255127,32.432699639817734,35.74980789037177,30.033524108936845,27.989741731800272,23.353743109810924,22.534432185299437,20.73465399295717,24.244367060098977,22.862284655747608,27.543563028754473,28.58061308435645,27.98988034708048,31.76837937795248,33.08430934828135,30.393870051435666,32.401412528211665,32.9079383099247,32.71488591973938,35.047659287344814,36.93610853882295,41.444750939828154,42.673865159175655,42.97753055600939,42.410466964628526,39.31610461453528,38.88935579726161,38.274759245775606,36.162782243199786,32.800550928759165,35.459858217814286,30.28800009799443,34.36429634206457,31.787200556786587,26.684917684723754,28.97362218896171,27.594721896832915,25.230153730932116,23.126450457537594,25.678122751496296,26.21423923252198,31.43528147609866,34.580072932176094,37.38779270338467,40.16741037441226,40.19080579347327,44.948504738347005,42.198014623092654,42.74162658526174,38.330218281288275,36.91144201218102,38.31071124441807,38.79979642477835,36.004611957094866,39.21560429479284,38.95302596306231,41.70735685997382,36.72962404320077,37.76215509906209,35.89085940828639,35.34345076682536,33.47431482844659,32.13211108968232,32.84716274856572,32.612840384736955,29.01813061006194,31.769334185585002,30.079882389555543,31.655983638980913,34.33291147600453,35.493758264783274,31.679184961583573,30.62647400286791,34.73742709436073,32.83382077703396,27.408775113783662,31.550321349948707,36.08779383559484,30.922588796972146,30.232734500904623,34.16463053222654,33.91321160720128,29.60596571328366,32.013769156557174,30.11946879621691,35.222372354945485,30.7971680213877,32.61655871379028,36.76211645480699,39.53468252935675,43.75330948632145,44.14798394382184,46.39688217460311,44.29660895391055,46.62629126981036,44.67863478648597,46.913085279703004,45.16890148626041,39.54906659146812,41.81671944732032,43.073447966167535,38.672362067833255,36.86845669691887,38.918346596409656,37.09719521767149,33.388076205732986,32.661430416447985,32.1981953199855,36.03410498605969,39.46893221984584,40.53269786620914,43.62248771146598,47.387607013918206,45.45908540670391,40.87160310703344,43.812960977732175,45.70518659736856,41.14306430075101,39.5104872677518,43.06473411338655,42.1900818949526,38.38824754114191,42.181817335438055,43.93399514449919,40.476600380596544,39.88267238867408,43.27773560236646,40.886492379821966,43.10915787146335,41.69436651217831,43.81835089738209,42.40404366799744,37.07729687520255,39.14128159945936,39.474772101895944,36.42619893801798,34.01175408110501,38.43127047694342,36.43174183848205,31.325718811048315,32.480438632280496,35.99978431159171,33.30968931438902,29.47947808674366,25.881762748976705,26.913534988091072,23.160121136510625,27.236983106796597,23.529652299231348,25.914771652958805,24.887591958123657,21.066380134762838,20.793014323390786,20.450890892594014,21.35977325868417,25.645616315105407,24.348489528802986,27.468237302192545,25.65299993041014,27.68944539153949,32.89233232877199,35.69641250731775,36.971272806191166,31.945990600777602,32.872746058667225,36.68351652866288,33.986792143892146,30.427589260134123,34.93011692448913,37.81698678181549,37.31206295061372,39.42117818768598,40.939712173628784],[28.5464794907691,26.000209377680306,25.47691986515577,19.34497835718979,19.731838010394753,23.69762792684179,23.653793779475993,28.20660097655305,27.709401233108796,26.47767978568752,29.645277694940923,33.19911865372594,29.97646573875431,27.863306543466823,32.73407480081312,33.52877517941578,29.61922929910746,32.554243044413504,31.81042547772748,34.059887316290244,35.7154505715086,38.50457998336652,37.778031359009574,35.47712662041486,33.235906082682504,30.761396751630745,30.028592850809076,28.3541030897777,31.759251236078484,33.72154553023713,37.84331292404903,38.39156533301921,42.585015151699025,44.73358926340962,41.50224755025806,38.16493114077355,37.79943705266039,35.032056258415416,33.204880581908576,37.82735475549843,32.77151013925959,35.002098632112016,38.754943592849436,36.31915838843823,37.177225476104475,35.33883465770455,39.41816520862467,39.36525991900207,34.813701434487314,38.282531473636936,41.98580737269329,42.29394629719957,44.782890293085536,40.253739958888175,45.487401285761656,47.0023865010831,42.8868654034669,44.93089549579326,48.84015155499356,46.30019207265549,44.136916539029436,46.99580704702336,46.69458100340152,47.0635499574444,43.49437683127072,41.350801185322304,38.87231593408878,37.74922828906821,34.7678605573127,34.891555432158256,33.114074191243205,35.503172199881575,38.1682309981222,39.84160962120103,40.43710802159016,46.3360771475207,44.181981771206445,48.130373050654875,46.229971774909245,45.961539833096374,44.908661424308804,42.88250250269097,42.39597013379882,41.16940067332303,37.348385387750106,37.677244169962776,39.11218741775094,42.07736789062336,40.96184901016076,45.92767559548594,43.58866624553358,46.849963423220046,44.590132912884684,43.71918003109269,39.36317250468104,40.78344156181428,36.704347515312165,39.52554582719605,37.78974542623106,40.76645110557402,39.8679772112374,39.261338123255946,38.76445200362897,36.87264761960059,37.14377386557817,33.280327665319966,35.83938343090959,33.333231444241065,30.486747930882334,32.102357086856756,28.125672254318975,26.947999596036414,25.457628645404967,22.975531125755534,24.020844738651785,21.241606695061606,24.043233461080764,21.464630183450012,26.439739084056413,27.923989510620505,25.16771184364984,23.98424531774203,19.22686988060569,19.39876350658945,20.273388507479822,19.26877594313151,22.596513921846043,22.96618142694382,25.136348722916676,29.049704971011252,26.355229292964626,30.838190119411703,29.62291431661266,32.514382859961074,26.77122893454431,24.297065684681193,20.20817730291772,18.649888986622955,16.41088799975021,19.826468813133676,18.447525082879988,23.29898452564411,24.008008467679044,23.388461779550926,27.232430540872056,28.416047520898328,25.738957860027686,27.80885680268141,28.536088483292556,28.41568587316638,31.064150401742562,32.92670752334602,37.58469349415703,38.95776680503018,38.919530102959094,38.235762742745145,34.981437288495556,34.72095358207731,33.827901848945395,32.01009965501184,28.564882421629935,30.962545619286782,25.909144118565184,30.078716585314243,27.90222964863077,23.020150267739407,25.71181972273196,24.834753659158412,22.65263098663832,19.953382671815053,22.401237543226177,22.387918475728853,27.553416368104635,30.55040895089178,33.170709876321276,35.96573547308909,35.73236900382544,40.630022851266446,37.93169973928697,38.67701331887616,34.40610961933954,33.09170260518599,34.84942389848581,35.53732324991617,32.55455465307279,35.51207706854517,34.94063034101656,38.012621004959826,33.07355805118498,34.475552913901545,32.93387590926014,32.19939600154279,30.736917190732132,29.482062946613365,30.435459009913576,30.644609783177753,26.90194362253897,29.831021976746033,28.40401958226405,29.42750802329643,32.65322868963903,33.37883751140619,29.40728151238518,29.11664777056202,33.260374023087145,30.98492989725452,26.053462132125983,30.55130503845025,34.70218106629773,29.483411648664525,29.36066152766964,33.35512389317879,32.62504225594803,28.739493546686088,31.69916572161732,29.957367767614848,35.12547670622912,31.33228111230599,32.54048665609105,36.68737159114472,39.61515931497896,43.866971142238555,44.27508506061855,46.04149520974277,43.66083476204089,45.72138395511822,43.33029234879574,45.79840826577744,44.49444474225053,38.589636749179874,40.56762314455272,42.33208246044011,38.125182473580466,35.87687746335855,37.84110694807292,36.752247944868536,33.026553477738744,31.504854624010093,31.002041421182348,34.093525063869926,37.70181585459542,38.82397379730347,41.544049701046376,45.39654117065514,43.02935531194026,38.64742695719143,41.914885832341284,43.41907572263154,38.68073588108817,37.541791004834955,41.08430155745052,40.035423369274376,36.51546916483425,40.65646246077117,42.284433462484714,38.791618726967826,38.68175198286748,42.228707566615846,39.969966607240984,42.04193317875324,40.323131438105406,42.751753375463394,41.737372655274186,36.18013009935865,38.18253673025931,39.06589418158165,36.10219220573735,33.36691102684402,38.17652413350093,36.73050782094328,31.374931241544637,32.281037092773374,36.35958074200669,34.115627130225946,30.13950804158875,26.341578233583867,28.255811750125243,24.521273314014728,28.339825316877462,24.06852603392967,25.66996279527731,23.999836436231593,20.879368660497793,20.464565875350957,20.748119096131322,20.985503858723437,24.83484311491281,22.523468570671994,25.29712324865293,22.81637394949187,25.26027394140204,30.125335115242766,33.20100031668721,33.99603243490435,29.01399913030302,30.545099680635257,34.12881675911199,30.86619666109952,27.85525940531844,32.75441196167759,35.28799548379551,34.45302201981165,36.36862046297753,37.749566385308185],[26.261121258107355,23.25537193684937,22.02624677834389,16.689044364037283,15.943188425505117,21.18211322179277,21.42005712026369,25.88746053038634,26.439526322402536,25.71350308365921,29.255529999126036,32.26852011330656,28.98339433331818,27.834748050501762,32.65656494828857,32.9308935735069,29.187848267852658,32.492469449492795,32.341015683452206,33.84933129458461,35.92316533298852,38.298019692969156,38.06292234648648,35.83861903635498,33.16944457941341,31.028274815828055,29.530043009804256,27.80809305273546,31.017269258873736,32.529708678352854,37.51901557122559,37.164951626779484,41.57000161526052,43.91265405140274,40.363158845650915,37.27467265030656,36.16517999148079,33.698887698254495,31.59056497633207,35.73639289849863,31.30225573481201,34.17929404371784,37.734917979460576,35.20186577044919,36.538160614261535,34.673113857222084,38.62578512360541,38.16411898164005,33.326067613701525,36.65358688193352,40.11813189163448,40.072465576364216,42.6694763297841,38.11923484100515,43.10897870023592,45.21448240537235,41.40443047798078,43.42730748735066,47.40120562770923,45.108738816465426,43.440561534507694,46.51361855626518,46.20775791720176,47.15141484351993,43.45799040479681,40.993585257257486,39.337204989630806,37.98050820193435,35.7089376376611,35.74321622999954,34.47055997400035,37.35250458832148,39.40510499468943,40.95749263019255,40.869589840827906,46.70200199744609,43.99659140340198,47.704535354375345,45.40081984917408,44.83103552657,43.229140024769485,40.798648249461,39.863037895307826,38.280046263958624,34.70800701627359,35.47955361952355,37.57410310896887,40.347161719415126,40.04763777253903,45.040696596785025,43.242466734383044,46.93156481060228,44.64099258310153,43.46990995865129,39.10246048906449,40.874493528813304,36.793801270919,38.733488352227795,36.63081722802178,39.062238947611,38.001392340690046,36.570409795974804,36.15478726908925,33.537146451815545,33.267811928054975,29.236288560565825,31.273684155032303,28.388058830556478,25.54499811314245,27.670688572224115,24.01795710981098,23.399752382898043,22.740571626014574,20.560021357880746,22.835783254438276,20.386234800527088,23.677712994856204,21.625789889533056,27.312807615433698,28.327294664306955,25.9804192968347,24.410573304812264,19.70734067784266,18.968401737243873,19.038828808683316,16.736651625009245,19.21833544168596,19.027033847072612,20.55607857304628,24.495341679632872,21.131595897614773,25.502397175708044,24.545914361083284,27.7997486897886,22.16041987555834,20.223325984615887,15.372498841084017,15.033539341280473,13.996855369905305,17.77696232205902,17.741455672422312,22.624288625431838,23.5940520217995,22.259940404432033,25.84827669920102,26.97336379989796,24.156412044909402,25.930519031055596,25.989168938161928,26.145228894564905,28.137196026187436,30.64780278990326,34.84954690449252,36.789191347561406,37.107028535841195,36.03792525319831,32.964670380852716,32.00262290591155,31.590503895713674,28.858927643748807,25.516617791624068,28.689789987867744,23.554849670435246,27.633099797664645,24.92246236493429,20.16886009540898,21.929766547314127,21.10215946148469,18.210243582706116,16.014112483582434,18.18263252834465,18.904571339871683,24.096245799101386,27.205161474776155,30.132572913583438,32.7796712646102,33.23016566671514,37.69791541763277,35.00325591702889,35.25916537692334,30.93643577547518,29.183256361993283,30.566843061532694,31.21667230446307,28.55814798299145,32.2128594015202,32.32383616323434,35.213823356977706,30.836489702564606,31.45098392213826,29.5685686752569,28.499309163093667,26.40694171994447,24.730876621545434,25.295361363715628,25.110944599427977,21.270955772162758,24.04856733626846,22.538299244880665,23.911903321742187,26.96979139818021,28.070771908817633,24.2428737608818,23.640168038416782,27.923552799991935,26.120961033360043,21.099595823474292,25.49488006166542,29.95780146707656,25.256942648271533,25.076357772228487,29.10666516364079,28.86486541768628,25.323969153013174,28.03264459496953,25.878020493217505,30.932017839403333,26.65483147973487,27.58382725774363,31.78767276483069,34.33630300240911,38.77469159861853,38.81019701378742,40.45794456977608,37.94630403179817,39.916529399008205,37.563394963964555,39.86458171260414,38.55660651236125,32.6974413769146,34.62251454031667,36.28553367244601,32.10031079546523,29.854367655094443,31.822338907346293,30.715974978551053,26.98819996704236,25.503596343932738,25.028465300198363,28.332174844647973,31.88640761613257,33.13683516779814,36.02003529569817,39.9678768601558,37.83591650693295,33.322382067965506,36.66457145590577,38.469093699405825,33.865367293297375,32.57875200523476,36.4041411106846,35.67942228453614,32.08113732495693,35.99763729047526,37.9771624261958,34.89015632651198,34.39392595659809,37.737391708354906,35.21096276203614,36.974611400606726,35.07835639775589,37.26023060993356,36.459052708233536,30.95266104398461,32.581366840899896,33.49073065681227,30.691298292807947,27.679630012032035,32.35628676546214,31.1503673950906,25.79724102086971,26.387044156655936,30.562117639022492,28.603634876821122,24.62622316982296,21.02575141055932,23.224205168372343,19.891107828174164,23.82929829939772,19.743239437158632,20.910258820950105,19.866592113320234,16.91518847496419,15.714437301359368,15.655420555182202,15.358759202442272,19.17651284994431,17.180620590409834,19.83716204943984,18.0574174236549,20.776643818564345,25.640236758418702,28.666336748898093,29.95973554004684,25.14231713925811,26.562051276574174,30.472942286177425,27.78071505763809,24.76677209478756,29.545649944963397,32.40333131245554,31.860555260132706,33.72325946118724,35.14731588717721],[30.5745180033547,27.68749378492255,26.616436940694282,21.35619119606895,20.815543243362466,26.02110559434065,26.17892182921616,30.64369679927412,30.993923397645283,29.957928990179628,33.387941875701884,36.601107858868886,33.074165704485644,31.654216891988774,36.387488620275455,36.716046706951175,32.68775328363309,35.59841292244779,34.79679678186113,36.41383553591317,38.00620930029996,40.228100945946885,39.6119140397448,37.058700789868,34.79047552475478,32.93174671081602,31.90147734837069,30.672308696530067,34.243929132248375,36.184232978291284,40.992677431689785,41.04005980614818,45.437415421837606,47.48131661045446,43.90622823417336,40.555793019604025,39.751833347917135,36.70847112857758,34.42361515097159,38.275901407905295,33.41967660681485,36.39739871516577,39.768786621736886,36.87214195869195,37.70594514413776,35.42813884900084,39.31598070313353,39.43898953100798,34.51551202892375,37.42950642914678,41.337210482464485,41.48834957312018,44.34053355491322,40.16115584219334,45.37562265945279,47.166472356120906,43.37983858714516,45.84167511857669,49.591467536314234,46.842626582910334,45.31978812324039,48.63638533644113,48.65908457566406,49.190744889577005,45.375752314263956,43.33961101273962,41.56432124424099,40.65356764405169,38.16807757957623,38.61513721882557,37.066630303606196,39.731165583483104,42.07133660456413,43.33541364047627,43.70695619179169,49.42099676486304,46.72818801905922,50.6637156460186,48.3368759443191,47.573230222834304,46.32039967713007,43.722691701765655,43.230007711219876,41.38806030494592,37.64577346754582,38.69221789955445,40.51037220333775,43.70049918868816,43.0650333648246,48.3241755839698,46.42176360176791,50.021737865163416,47.94676981341586,47.056750241117335,42.79434907871083,44.58206457214019,40.577134622347444,42.77494764761066,40.88543132548899,43.58311721006214,42.27550842703197,41.078943916189694,40.34119206826427,37.91036293988049,37.301272992311056,33.49892316863319,35.475656136568894,32.41295434259556,29.845409998868327,32.14881428248985,28.688055690267003,27.869232639958632,27.33356947267803,24.82445262036583,26.79091986908897,23.956146378334,26.841137462603385,24.160273720388968,29.481296082689152,31.166633545025384,28.826941470396644,27.71119392979778,22.902256844857373,22.757092885387443,23.347089177142166,21.093003574410176,23.991745355936896,23.518688290572754,24.923161387032117,28.53439444330192,24.913861732724914,29.059170380949883,27.68466184649463,31.296554406064974,25.52434294044019,23.97381033335646,19.218981555873935,18.747591489503076,17.445278498135718,20.876832202670915,19.70401074599964,24.160617705548866,25.711436857311114,24.952979029418433,28.49428068941079,30.180322845857443,27.597620219012263,29.839757937213854,30.197125833132432,30.62220231785081,32.80836813588365,35.3644572019513,39.627622042286205,41.59037908683038,41.78105407805127,40.66536399472768,37.45659095610192,36.55019404965393,35.84964640459164,33.15765040693963,29.38485429943947,32.213938360422155,26.732553409199085,30.53511112344617,27.4163421854418,22.164030420012566,24.074266975437244,22.41099132647115,20.006148632106168,18.26874747660702,20.949171954574584,21.970720277063002,27.16888766992918,30.53414388904267,33.62318959586576,36.57084767403959,37.07803406043423,41.49193356282184,38.429002677885315,38.76672523255391,34.06327804540573,32.88773388807449,33.732142525760075,33.949828067891104,31.261920367806983,34.59579952746584,34.678850646729714,37.10950299335807,32.26392450535727,32.87945248063679,30.796049283999217,30.31912377272979,28.25523329969299,26.971130412606485,27.724369087571276,27.542597601529376,24.249104046050324,27.244610196374065,26.02825065337345,27.923878760016617,30.815450663009184,32.32491911409669,28.631613647471386,27.676281930167757,32.01761701921299,30.562652388466287,25.321314568201018,29.48184740303374,34.235033395910314,29.642315809249688,29.14089159576012,33.14353037847194,33.19363714739659,29.389210146607468,31.763066153981384,29.47493700587245,34.48879445080985,29.55717065721343,30.949349631560153,35.182298227462375,37.43507802743565,41.93818365768589,41.753010226995464,43.718702535126766,41.28953283848207,43.31018403557119,41.1846311044107,43.10476760932652,41.59888560371004,35.99962725954473,37.87160769538903,39.00039261425818,34.80140332155624,32.79834243195411,34.46449186602613,32.8418901028422,29.35850511327846,28.08503994306489,28.242567935466624,31.85626568798222,35.37679058861427,36.93554326411932,39.99085824520908,44.05190457313484,42.10136897550904,37.52303853064558,40.90144644570602,42.924187453001906,38.40953113079838,36.9969143066498,40.91535468802039,40.31630769953883,36.6221813371446,40.350636790539035,42.44584583949771,39.409554715718784,38.654736964019385,41.88764007595052,39.23090145549574,40.98284794841265,39.15824449178227,41.045012614160534,40.138171045229974,34.80363438104762,36.23297007465219,36.79916539781913,34.04868653652249,31.064795377368288,35.27137282069519,33.78959503052827,28.67704818208349,29.09756229113996,32.77532011402187,30.625100763409783,26.81029598525959,23.63051015641413,24.870509466862313,21.748502471671685,26.152100148100665,22.65908932881162,24.444786378356092,23.936179038735848,20.464915300133878,19.27637576776276,18.49169130743254,18.544616504420024,22.718062514659,21.457625450026395,24.00720101573949,22.664809120989858,25.481253766596563,30.343877289718794,33.33920701569554,34.76119442085009,29.988910680876838,31.305271357093655,35.284650240091956,32.66835489449851,29.56570062254139,34.240898954957785,37.18324345952274,36.68285595141614,38.572872324874396,39.98323880497209],[33.75762539812559,31.091728389474483,30.305934450495826,24.34250482214009,24.026181286030948,28.397205452937587,27.972275194112576,32.3819026680749,31.972558542926294,30.2377533221787,33.334176291775464,36.952245183878595,33.16963092806051,31.10348094217194,35.662057075565464,36.261100660901924,31.96188935219616,34.337807125081966,32.81558691724563,34.90857515695049,35.986703506522566,38.40515134829818,37.31644562654311,34.62926154640448,32.819189226182644,30.86393471742051,30.56052451983079,29.62375866174084,33.472566985191676,35.95301928241378,40.076982283500996,40.95405457395328,45.18665980519501,46.85847466477511,43.48948933692818,39.83777957155827,39.729635443981046,36.18230680115951,34.054532600904885,38.151679577825625,32.69821018794305,35.167463564527175,38.59555027707726,35.705351229416856,36.024937888614275,33.72028666294151,37.67309602991334,38.2370947441558,33.60425448219439,36.57434048532689,40.71469474840488,41.235057182437416,43.99846649520625,39.935410570401686,45.39034945746504,46.563831358105986,42.54316572899184,45.13287059700056,48.73730710298361,45.68039442613192,43.80433265564358,47.01986093559945,47.17758789432739,47.13909760725884,43.385682283239355,41.75917755159554,39.41467274662057,38.890138815543324,35.92685865725421,36.70031079745607,34.75773330879926,37.039429665407724,39.79410433522254,40.896842467056075,41.904747361759746,47.53265399445653,45.192073517092304,49.377876171640885,47.320813353121494,46.68647176068024,46.01446761539157,43.685364710922265,43.76208993038499,42.13647911758929,38.13446028793195,38.90523945794559,40.067110891622406,43.58222673732369,42.189077838305494,47.543137786086,45.253010191691494,48.52418147936755,46.64125037443725,46.14188469933661,42.02169238610615,43.66564243397409,39.797787682248654,42.60648971667721,41.1571962161304,44.46385540366328,42.9385652022385,42.55951082740635,41.451391208157936,39.78220704163392,39.42905428316055,35.95811023705509,38.471699790855965,35.755228910479,33.402255829541424,35.23187168131942,31.636794374822752,30.046643116627273,29.02444815855498,26.006566635356265,26.95545507673502,23.701470743461087,25.952933131694937,22.667488491846488,27.24867819712553,29.559367411969095,27.09527328747333,26.55199622950205,21.794980857371566,22.55624670769633,24.030825715847236,22.500491985362185,26.434044929232105,26.07589563247788,28.03589480715022,31.399520317114657,28.489388870820544,32.71605939805297,30.873999177067304,34.10778793938499,28.20133270401399,26.21522438488676,22.329604218900375,20.618325318154014,18.303138282771947,21.201978868936173,18.662171742719934,22.80970822548475,24.32845049617134,24.328570713831525,27.96091903769618,29.91717890974265,27.604279108838,30.312044753351437,31.351374372618455,31.85779466727168,34.711390717097444,36.941106240637446,41.56895781829742,43.356909891454265,43.02285074859843,41.99253415951455,38.50142338245067,38.11860692903757,36.78438515754148,34.827444297819774,30.704974937721282,32.69820369637916,27.193924861835175,30.91383133694743,28.2047911656652,22.848581891857688,25.68244335162134,24.00329100058564,22.46863565777903,20.187069636555982,23.140718859607244,23.457506677251878,28.5546473562304,31.86167378041281,34.71104137865988,37.91517738351547,37.88195368302008,42.58973858749682,39.35687096094717,40.17735881665814,35.41295722543152,34.89123970852077,35.939869019680984,36.108895202816264,33.07531947459936,35.593700061770235,35.00858558250193,37.51164889038876,32.11136615646615,33.511591405924214,31.82235773476441,31.734006426691995,30.426186332106266,29.677024904980854,30.940793712603273,31.35565047957213,28.249160761250906,31.555226088365362,30.70639410766434,32.2033196266678,35.54528963651315,36.699592469425575,32.85233227758313,32.48210501774525,36.812607438256876,34.96864318647732,30.016310352681632,34.41305855091677,38.85413179336429,33.975149821781656,33.76670281374721,37.789490804807244,37.36430289460924,33.54934591358549,36.292219874013504,34.28470143804309,39.393837374203954,34.91457233856882,36.23012032854847,40.4461599020347,42.91031637198732,47.35269762242495,47.30575773304833,49.13463952303929,46.61270183174736,48.511997513334855,46.13390862451759,48.1554795494886,46.892040863379165,41.16802384023237,42.83043122042378,44.164024272594546,40.10147678608863,37.86797348790603,39.335738977150775,38.06579610477303,34.68648625065107,32.87772387814444,33.240353511717316,36.29609509987202,39.97039914324716,41.64134634510689,44.407367851009994,48.5422964259093,46.20747232106286,41.81754967742666,45.425944296702355,47.09726584858657,42.406608737248014,41.38159739415486,45.18888950050925,44.34108800075194,40.84323404009261,44.87080417801446,46.73705239271298,43.46966937552461,43.1546150963117,46.566255545832405,44.093215083600576,45.91117364399512,43.99462865385281,46.11780897149098,45.329938144277314,39.86442742523488,41.38214978557827,42.18779485320046,39.41954605383734,36.374292458927115,40.75309174024601,39.414418532644234,34.22515987232224,34.591756618434616,38.409681589325274,36.33608177790196,32.50439937486147,29.226056755259545,30.563772462393636,27.303300805140516,31.58671211892001,27.82955601241263,29.55137364273994,28.458572416092274,25.17310351054782,24.318267113975477,23.93482954894368,23.929794253210478,27.930205958916456,26.009334478523247,28.343747492477164,26.308260641410683,29.35157186764141,33.98494462384956,37.20633441761208,38.07234536759062,33.26152647974174,35.03530664688629,38.71710635354839,35.42897272811062,32.69172311745956,37.658225074328946,40.21524881681501,39.346383178367724,41.13008557395352,42.40607522311218],[30.798672126497504,27.827692927414784,26.486327825862272,20.661673602259906,19.17683866384734,23.87803507109045,23.05497028754449,27.272826230366885,27.3469948844989,25.557226711356613,28.855772897793393,32.17940293228617,28.12147542501814,26.673797152312716,31.129137100513027,31.341190625759378,27.064690852403025,29.673088813812015,28.627747604437936,30.232774343530426,31.739711668208166,34.00864171449894,33.38225772473543,30.895395805072077,28.58461702010211,26.660872423955745,25.723035261131727,24.623173454285475,28.361105287940617,30.614240732893307,35.284893008460635,35.653520075623014,40.02447399847024,41.772017390766756,38.20251908793092,34.6797384979003,34.16852996966398,30.804396049467382,28.575127333022582,32.63487987496951,27.534537354168606,30.283092876529494,33.742455764604905,30.973253700583168,31.82154851191095,29.760985779678947,33.76764842734531,33.75077961015164,29.00022387196436,32.2719579776436,36.05307353721528,36.345992527611344,38.99810996781782,34.66767406034838,39.97992836562847,41.52222645688586,37.5742426721148,39.95398972684239,43.71191057246272,40.98717316786908,39.23115045881228,42.46279039304815,42.4843865695111,42.93741429541787,39.13632676743427,37.13480551190864,35.31476611521962,34.50806126844884,32.07337642510016,32.744459134778246,31.22046968127762,33.97677424892565,36.18508053416065,37.23086480989396,37.65790986308465,43.2905426343045,40.571525065663536,44.58464196257005,42.29218797376423,41.55620046680008,40.527379580342526,38.07054442228305,37.88117781198839,36.209370495980124,32.300170549366044,33.143022400877655,34.64429524892371,38.01020540072031,37.06749157394215,42.42500411546785,40.46079451413614,44.04027882555934,42.128344512189805,41.44394383928026,37.33323003660041,39.27767473714466,35.447930264676174,37.668708975206904,36.09306136811895,39.26032409080277,37.42651129746231,36.80783056374676,35.56216727113303,33.75803815496101,33.2281297304536,29.82098214077856,32.370654785586595,29.72086440809841,27.544287513688193,29.29361699824507,25.886473600877338,24.083961119169206,23.425679703417607,20.26773073580058,21.702620503816778,18.494770238396782,21.007870199619887,18.05127590026522,23.302222100653864,25.191235847037994,23.02521544333054,22.244168673259725,17.46938977103431,17.780420267043237,19.104308586415122,16.828845283812786,20.951475978077347,20.1448668532843,22.08484429393549,25.260376141916357,22.58928644066119,26.847636559889107,24.947327162481614,27.97868378080088,22.078462644050244,19.994318648243173,16.31375204893407,14.418714730285966,12.283527886388063,15.323853774699698,13.566800949017951,18.090559094475225,19.510428482349297,18.96444902882902,22.555504365166307,24.399496154456553,21.99260729116791,24.64460811592843,25.50134653344497,26.317090666862896,29.077445503609216,31.6996180117577,36.158063180606234,38.439730833401484,38.005716661169714,36.611339184668495,33.08116827110858,32.404809279536586,31.082307731265473,28.818356269613894,24.606239063756057,26.831153880842475,21.28806080965392,25.08376252097973,22.368198176834134,17.18361029998222,19.937009134475318,18.799816811227796,17.02227123524772,14.330613444316556,17.115058828013552,17.30957752463014,22.449207268164734,25.734994981530345,28.630741920977986,31.793809077540605,31.959495889499067,36.54038495573502,33.33204837358077,34.040658068002855,29.337374372707057,28.673287218544132,29.8269742139527,30.164404961594663,27.115902801760654,29.84785911908797,29.396227077196716,32.14350014645129,27.11186079585437,28.37650897467819,26.785473265249145,26.262842159475703,24.967565260594146,24.054680830536856,25.35590224740758,26.01353055622021,22.756634089706722,26.15819494315566,25.583640655192287,26.73765563411992,30.478167648898143,31.43349335666816,27.586374107434242,27.77627606799183,32.14105663580708,30.269221772367775,25.835985015086052,30.388239939267677,34.58278966092452,30.0419350838092,30.299501848479455,34.3215291795768,33.76353928111577,30.564711174888377,33.584312595616375,31.517268106813482,36.53668802530489,32.40194636535611,33.02956341861188,37.211057619073664,39.57348412301542,44.09768858119626,43.86280337772391,45.18168137003764,42.3606504292049,43.947973597512885,41.20516342315835,43.329234514967894,42.479683280291624,36.5768385194613,37.916917212842435,39.65609310199292,35.826156578988176,33.202563526728994,34.566368750126585,33.99613520740094,30.646637241679823,28.108901889576334,28.481439232781597,30.885926632361613,34.66436274639185,36.463614697008616,38.94983915226385,43.1960145057887,40.6054249890604,36.37001805482707,40.30208286488295,41.776799689864575,37.045196291355346,36.41051453080871,40.332848840622226,39.527861007429934,36.283815109592425,40.44294201094832,42.38252669421369,39.35593287867613,39.24830978742646,42.637183452203516,40.15687803512874,41.64536518945615,39.37452757315639,41.60738061496477,41.307319622359984,35.736173454166014,36.96115369161093,38.2664952574762,35.702955702587545,32.26292521133006,36.85230832923667,36.156133548305704,30.831832325227413,30.79094879814007,35.10813051622388,33.60863051415174,29.711671375788107,26.438287180669644,28.638981458109203,25.652439845755648,29.690962319544894,25.650165894741267,26.46036118068032,25.194912547994054,22.6803872485388,21.338598740603757,21.297467853503644,20.437322080131544,23.88441170060221,21.265226334120165,23.069393501989204,20.848301126668794,24.4459280103544,28.637532894527244,32.05183241395363,32.7468500428878,28.15094844767348,30.414040412643146,34.02234624560407,30.588492075040747,28.418077081661956,33.58979336997111,35.98634771942201,35.004258874472576,36.55545840576731,37.71565312410692],[32.21108709886659,29.0712637479078,27.440573449905624,22.17889223439342,20.229073308344738,25.61275163192315,24.972240764987237,29.101186500081226,29.687428600816787,28.082177380298194,31.504062213019388,34.590312084953155,30.42118773922185,29.40632453339786,33.74694205343443,33.6807085789777,29.397291195117436,31.96905887096525,30.90990517700011,32.086157071218246,33.53307887810616,35.3977401392198,34.84860427997192,32.212734475276285,29.91617927047228,28.44175997337256,27.31856786084731,26.533974879465976,30.31645786455714,32.51577161966297,37.576712142061055,37.61660899608988,42.08278341982426,43.76154065213159,39.9986683098585,36.50186058539325,35.70266036702131,32.19420791421915,29.675975984323642,33.15349710593124,28.23929819364445,31.48705308799161,34.64683484721923,31.573349719621255,32.393931422154665,30.030319504694198,33.87273568394254,33.9859558665982,28.993221888034896,31.83951112757435,35.758913179899736,35.94228082060406,38.845518494129,34.78389519230034,40.06191594783548,41.78739727474062,38.08843872559572,40.74573808261978,44.37281462947613,41.514166285360886,40.20943236829938,43.731379951094674,43.96906008867606,44.52542599288748,40.58790253210877,38.67570248767902,37.332109002960834,36.66801788924561,34.56724177505219,35.42007310138418,34.04790208530449,36.93294594538589,38.93631252585835,39.731554958402405,40.01534297714246,45.491563152195326,42.45023105593085,46.42743899240187,43.872825999438504,42.81416012210902,41.65719110433362,38.82722878741355,38.635213010228014,36.54802291752684,32.71743552861744,34.05580442882287,35.8083684452562,39.29739711385461,38.683483529686214,44.19046250791765,42.51992498907167,46.288255647273886,44.498888710825376,43.80031796054671,39.77078695866153,41.91551598978018,38.149061696523646,39.977727498899,38.30663716289951,41.26345898375356,39.20661368108619,38.20336883768241,36.82274826913181,34.66840950095517,33.548629357275445,30.208955129772757,32.345250027848124,29.3299891175516,27.37155377403634,29.571081426832443,26.53819958821039,25.00875494938678,24.98306905685422,21.89361209714993,23.911742663204414,20.77150233875624,23.29557276026871,20.37106170845929,25.709059798608116,27.679894661435746,25.79736885357485,25.047038882695354,20.354989580362094,20.428674565725483,21.48928697895204,18.51031459943844,22.212262772134505,20.87627432102767,22.2560833271209,25.176973368918365,21.87903174415979,25.866577058377292,23.82501741365025,27.36414747418036,21.471476924858003,20.100592573403528,15.99776817873188,14.965873866857926,13.643738551432342,16.573694513834763,15.055709672533279,19.114136447442046,21.117324750226672,20.48342410147059,23.777615196314077,25.93453510533643,23.631603020639595,26.33410737370034,26.918360050423043,28.05830195522624,30.475180286747257,33.5000365539844,37.67735899611617,40.29330020642003,40.02244032334212,38.38480062762395,34.92119097493911,33.83802810139556,32.66914381500979,29.847511922882436,25.469406394329564,27.970992891476484,22.213761696265134,25.6836757662362,22.29430600749013,16.869905530100134,18.986589072319877,17.200890641373267,15.278961236485758,13.383087875156725,16.359642358312083,17.371923005058022,22.46184927632539,25.987469401519917,29.19078607752153,32.432301397783974,33.1027563136844,37.32052589806128,33.88427191373247,34.30491970016361,29.322315185090943,28.77142500029772,29.25911167092722,29.246720554498637,26.417249337331445,29.401796379035275,29.427487162679405,31.69106578987258,26.741988560545465,27.41642875409921,25.419936585676123,25.10729604824691,23.374126955669475,22.46456047628571,23.64818387531134,24.062571068367397,21.164634957529803,24.640949625469172,24.266984977096623,26.000208575138828,29.520267488015634,30.983919920535097,27.345358572203228,27.121288113228175,31.58751127578001,30.249030427179918,25.668620362743848,29.976649885631236,34.51354682436646,30.385143712715653,30.414651951502872,34.41591031528636,34.32612710043209,31.18589180092922,33.84630337701083,31.473941854445325,36.37054403574473,31.590988047199325,32.30288477382099,36.51051609325507,38.43782448522971,43.102360613082965,42.4882718991154,43.90914177934796,41.0506589293746,42.59080583161416,40.011044917858506,41.76674854249746,40.810381686362064,35.11799225798031,36.35587466627304,37.68057941089295,33.886765922873835,31.404417947064402,32.5320468111308,31.653024586896844,28.49793670251296,26.045253786100712,26.91726183441009,29.617621058653285,33.33505786240699,35.44060544788577,38.128106488157485,42.50587015767239,40.18718226796356,35.843195223441654,39.844419018465864,41.64355642909556,37.07382517807688,36.272952009712114,40.417068478588725,39.89678990287641,36.55891680711232,40.444570814372554,42.6650717078286,39.928225511284644,39.42847766061174,42.6123233172225,39.89785362467725,41.17552794491474,38.837779981730435,40.71934502236574,40.505967334512114,35.096730652685345,35.9373550589675,37.05574900547512,34.65083551501529,31.047765946253055,35.22879678174515,34.55351276166994,29.412774840453036,29.01431112670738,33.0767607392049,31.69342490014846,27.929568811822804,25.092486550390326,26.89676074615376,24.35300059537649,28.679585506954623,25.134482001527957,26.01593279556552,25.4470229425202,22.765693301306282,20.985709123221444,20.32122032583873,19.290227203581757,22.860308923009175,20.9168595750865,22.52148333986921,21.087650327787063,24.880815143133077,29.033843839500534,32.37126891865704,33.463547522597686,29.029743698189638,31.1284419063622,34.959481058090866,31.956782783000207,29.71642949867978,34.71194946531401,37.351546094761055,36.5844636227375,38.124832839971965,39.30780664992034],[35.81548563709365,32.76899533449233,31.280774405351846,25.81243914149451,24.055880312773596,29.183130184150944,28.33701180712655,32.43058421403837,32.69882787389134,30.719034091455413,33.96303818930503,37.25021020493825,32.86433504616414,31.54536187204588,35.722538038735635,35.7370597725267,31.229763428589575,33.350748931543166,31.65800580446549,32.98522333494525,33.93092468269715,35.6943907266573,34.75485318592194,31.862796578873745,30.00787355766341,28.762035031691944,28.179677277286473,27.855774869301705,31.911007939530204,34.526570179332026,39.25251535829498,39.77611331446147,44.165901722128446,45.51423128710867,41.805083550052544,38.07206814745881,37.67846835913765,33.658299715199036,31.09068147081828,34.382297845721,29.05647739484754,32.190544199822654,35.1893152887046,31.88537982102789,32.179772140043006,29.52378521871635,33.30130220034262,33.969809935130705,29.061003114777275,31.59181102296449,35.86612322004281,36.31380676070436,39.340967474853514,35.61511475918387,41.07655663610867,42.37375759811893,38.65084554747302,41.63606107204909,45.0355082997924,41.78541272620369,40.49803303040029,44.15060808106342,44.666588553993094,44.781620609778905,40.79033917947973,39.31300538919092,37.78049114660489,37.55067597558005,35.23520915805858,36.47746044504559,34.85338297885361,37.496621182063855,39.7417817388102,40.248970793839455,40.995777904280594,46.31287955935105,43.363371928969826,47.54024804003978,45.0442884376242,43.87878139776225,43.14047378941728,40.29172379908709,40.58337848079277,38.4066860304456,34.42076626353594,35.84836973743873,37.19718511873484,41.04304307791567,39.99373152622906,45.68051646363521,43.86182321357273,47.47327829267425,45.91154917185217,45.51970194235657,41.637848961740694,43.769603293670286,40.12741844684624,42.24245013739151,40.84622885043827,44.13606472336626,41.83686561586829,41.2303097293408,39.52639483424692,37.74465719018115,36.50214862350425,33.448558720485025,35.70960562862838,32.74467927562594,31.031747438668674,33.14844375627206,30.198928660688743,28.33475567779975,28.227214206345526,24.843914923833132,26.361032003048784,22.92503687043714,24.95350291727683,21.508450747987744,26.282435577906746,28.862235204078793,27.018727740695915,26.74200263944901,22.094775406490776,22.757182079607723,24.33203375803029,21.63269894861992,25.79369590719553,24.38762594560917,25.866053820129313,28.491310878033776,25.35683318478546,29.17834925659236,26.76970780332163,30.311157382506565,24.417587274411684,23.151067150197076,19.508713375438564,18.03989727781941,16.299884710086022,18.717208979879423,16.067307298732523,19.524054098199326,21.9174370374139,21.93009239527294,25.1245430874727,27.71289724682416,25.694348374893607,28.78969509067184,29.75252316641292,31.073462780996305,33.78424787487922,36.73598071973533,41.03827843744056,43.63896908998386,43.122219965473796,41.461641678134725,37.84233217989375,36.945549740061,35.41092647920382,32.85917862460168,28.165246087245123,30.14414493528936,24.2647563616278,27.44210370789792,23.99018967502689,18.36878884156187,20.85463473668232,18.56478649799249,17.429805109261125,15.722032947513641,18.956029124930623,19.850505662183828,24.74506427719793,28.335065923180846,31.509141654030202,34.986068025694465,35.52044356335531,39.74713144495195,36.04493601924194,36.67240372868609,31.487290619420516,31.537231968464656,31.75318438581572,31.450264462440867,28.525158582898165,30.94762096174808,30.724308760050178,32.66031177969139,27.262640092563966,28.2110137875472,26.263650430347834,26.50999116374083,25.13685206482789,24.717231087568724,26.18828084534899,26.831476772006802,24.382922925864893,28.013325005841125,27.925003001508134,29.76620393056896,33.325037752998256,34.86957990770985,31.2654881252896,31.057365772087643,35.53586614948455,34.245442337087496,29.646351878422422,33.924168631689106,38.504864603374145,34.33657101813556,34.30913436429081,38.318020675413784,38.221854846050405,34.95137780787799,37.58441977754826,35.22109818473947,40.142418786718615,35.181872884943274,36.07661056705235,40.2970025081767,42.13283288581531,46.81856931651085,46.112826416857175,47.62652866521162,44.76796488139394,46.27042841174529,43.719365645437314,45.28894658737948,44.334794089007076,38.76370457958896,39.87524888642297,40.9781618419467,37.26670031743712,34.84072826726844,35.70968182484897,34.70670091956915,31.76228603344019,29.24275327161738,30.5138057141266,33.145416241441694,36.86668785860727,39.174273313842576,41.83245423283722,46.28838373254851,43.93797618305919,39.64668572330416,43.745644098123904,45.53612735469262,40.96616018394214,40.23995796855116,44.40010265926343,43.86989557451586,40.552442909298364,44.44293555135151,46.658487842901486,43.8837708839122,43.395288684566744,46.58196962680875,43.8524706633497,45.12866979309028,42.78281070954999,44.58427784059742,44.3801776914826,39.01701853599681,39.769977677550465,40.80461491662453,38.432813905339934,34.81991838882011,38.80250090306129,38.062784354050606,33.03142086240264,32.520449307184464,36.36163534528129,34.93931630681813,31.27160486613685,28.614827767878037,30.004036810171684,27.53149838320962,32.02998540950907,28.659971524977976,29.800886814956908,29.28497883305655,26.40418656555221,24.73404678131125,23.89307920803057,23.03166401440262,26.705053036139603,24.90325800007994,26.411238879221496,24.970461406432328,28.83677661150845,32.91653088756098,36.304975651344954,37.28287119108236,32.87005389295194,35.06277252104219,38.840252211689474,35.66546683004181,33.49698933976978,38.548259143200134,41.11574322130312,40.25430609689368,41.76675882031367,42.895643906507814],[35.01721969244744,32.031593748004376,30.54652925656081,24.708326024359685,22.713760486959643,27.19843400084576,25.79364097348383,29.696440355350013,29.620468062233865,27.189543924218828,30.255055944906946,33.64472085672175,29.05858549501643,27.584675868502234,31.5834969966823,31.634753600639563,27.029938167749716,28.960694229139754,27.13593158663797,28.623370119251042,29.55548382842341,31.533809441893695,30.57299105135612,27.797860305637535,25.878388668858182,24.38681132024252,23.936236340434487,23.575052746097683,27.690067578408637,30.492953930219418,34.95184644963451,35.78102737380375,40.090407005865075,41.30500828580636,37.69538465708524,33.874901489236166,33.767262546084034,29.64959540703486,27.252305580539435,30.93284656777437,25.391227559857544,28.158036127132053,31.358281633376976,28.287094517643496,28.63928289722896,26.284187989134818,30.244229887713157,30.711277837344632,26.014460483006495,29.023634512594654,33.11730157760669,33.6827800035704,36.44895825562322,32.47196028027125,37.99147311785368,39.08527477117047,35.145148115247494,37.92163083959748,41.406031320960395,38.26869408656647,36.61599993702253,40.07533413527558,40.46989539920993,40.52243413681961,36.60227361506368,35.07718591441158,33.3183755912993,33.07371898851586,30.667487440470207,31.959642137136452,30.30737054487671,32.95167802962031,35.17849851749536,35.665945245816054,36.48217678922894,41.81451139764211,38.98919010209489,43.20984507810808,40.851107058255316,39.85705380068407,39.28550849472333,36.69939993536965,37.14237709710184,35.27227978995652,31.174266806249843,32.24447777177471,33.3018536638188,37.16934281588082,35.815672479294264,41.47131516508408,39.501442357393685,43.01896927735325,41.49249035414602,41.21294386901185,37.40214794303841,39.53053924369225,35.988437356043534,38.24592773079843,37.07092574121205,40.66841788510165,38.19536871511019,38.066029840368465,36.161012726567876,34.88557516000495,33.96423926131044,31.120938889404297,33.84820511957507,31.302180672247555,29.706099772447487,31.306134801013407,28.270354876388765,25.803318210185807,25.387669241242122,21.687763863125273,22.627479633179473,19.008095706864747,20.71873217956325,17.096147752139252,21.725366615092785,24.401282776482468,22.589877069441457,22.53729264868918,18.004405681609487,19.049987131851214,21.118445299133914,18.747637509642658,23.60358305277076,22.25367436792483,24.204928902361612,26.659533843999736,24.36246254643452,28.318970102351603,25.752625371085223,28.687968859851765,22.803104280753523,20.95059576238092,18.18895928409139,15.633636451655686,13.165726067241506,15.186487622978756,11.953966783041373,15.577978195208104,17.66607331652645,17.8933053327362,21.205764013739383,23.758486742687065,21.842658336813162,25.13278967665582,26.483490906569322,27.881571276893485,30.998702845089966,33.78389951716173,38.24983624050232,40.85654795973812,39.95108123374827,38.255251677142105,34.47437141875087,33.87766248461747,31.95493214371067,29.90322924182125,25.09253404992489,26.57315875606386,20.808748850025385,24.084066009658,21.213412490933898,15.80080694022133,19.088685723229005,17.516143770397715,16.804149703640274,14.182349291956216,17.304759979125336,17.32537295018683,22.117037566658198,25.510686053196384,28.40445251377484,31.9356305474059,32.05183973956253,36.50401888636696,32.85518012790013,33.816550103371625,28.80553632931365,29.076162903172342,29.789426592828132,29.747485124380315,26.535596305484464,28.495717818105017,27.73107798277792,30.113616348406634,24.601760467977332,26.237232769620483,24.811460463367652,24.86508821088498,24.157260493362102,23.911643492551825,25.704311394056386,26.892894093147486,24.272462210631087,28.0080416101754,28.11582389716409,29.280538763240738,33.321751849659755,34.32843124529441,30.592775261145462,31.13456931583782,35.53191804987378,33.801778435929364,29.70974364546859,34.242197279903465,38.356155769986216,34.067857715088664,34.505840278345595,38.50287833639711,37.90650001676063,34.93760300943002,38.01771508770432,35.90914661364968,40.86387584333643,36.62169221297888,37.09839197280558,41.26354439501454,43.37203478709606,47.98154004207421,47.45834676916804,48.58968141529076,45.56803323453383,46.87918661253118,43.94671583586378,45.81978980378819,45.2508669372214,39.43385312175394,40.34296215375851,41.98678442965396,38.444615383010635,35.649082145453264,36.51843935994836,36.222207283842586,33.22544219835381,30.07787302023647,31.13778356919471,33.004271576082374,36.85458645443418,39.09459645150274,41.351033350207935,45.80272283653269,43.01026179392598,38.97318899375422,43.281822361999254,44.62965822527155,39.90730218290337,39.65098991957338,43.67838654943284,42.91880688876537,39.893476527916555,44.094643697933684,46.08988467126616,43.209852537511246,43.220429743846694,46.56139387720546,44.04372836953496,45.28550571131563,42.765204961231625,44.90733907918029,44.95763418749377,39.42270747784034,40.26927291591781,41.75904034091295,39.40320883061416,35.67557842417119,40.051970143677224,39.68565144047828,34.46477787298926,33.94126645088085,38.23137012785231,37.06021739588284,33.27752457293471,30.33521638053794,32.41219470913745,29.75419769960861,33.920769876577175,30.050259185865244,30.692058858471025,29.520577936436723,27.18488669635135,25.650483173587247,25.44287315302442,24.267321602571105,27.51056201690852,24.789796473568114,26.006682838705803,23.826583382891364,27.913156277137112,31.610509322939382,35.19825655482377,35.62778162834469,31.2968909396496,33.997882203197726,37.45265679940065,33.73036950434963,32.0932083841799,37.3951197889819,39.56299942867053,38.38232184460525,39.70893337196886,40.690423922825346],[33.5676872977083,30.32988327126852,28.348124780240656,23.14574567447175,20.183612779587,25.302836245971385,23.89984975832954,27.58812455849862,28.27347776782499,26.13779274050903,29.443092090038206,32.382495811806365,27.69817692058539,27.039000659928266,30.92846138808873,30.52300329579801,26.069942682949094,28.287531317032993,27.038828192564072,27.81600285981348,29.16506463084079,30.75552955194091,30.30882247965127,27.676994104550324,25.29767841550915,24.117202067056894,22.884320789780233,22.48461063649635,26.406492971258903,28.83212033853697,34.02001054225358,34.09797144559141,38.5709498821865,39.91420239113428,36.034635945765984,32.42633894707255,31.684336833308578,27.790534787395924,25.11896056534232,28.358787402274082,23.37790776060282,26.783229570561616,29.80544137404133,26.659958121138484,27.54580855443518,25.230858768199,29.090176060685078,29.06380631213187,24.05780948850239,27.03259558578969,30.87518625808045,31.05650792553321,33.923243172265906,29.863211335799893,35.20527472100103,36.847929197191576,33.172274920880845,35.91160494861745,39.46544949971688,36.5750640667099,35.36803485293823,38.99709280981103,39.364590330006244,39.96169131026392,35.96371737308397,34.11405124284736,33.12727010994213,32.64259524950691,30.907150349348647,32.08248070697317,30.903448485442393,33.96244322873283,35.62211526105584,36.02772075796734,36.20381258067705,41.455148595920946,38.15181079196744,42.14183825433304,39.431823114128,38.17438885887039,37.11920613531853,34.17127356648728,34.24954912264681,32.053326841786266,28.132833214881398,29.61917826381203,31.251909589544045,34.971868184647754,34.32963370870197,40.0047081827684,38.51561569477264,42.39453724153832,40.84979319393144,40.3235881360436,36.53364449031568,38.959774957914426,35.45141255345099,36.9650245906797,35.53744468586312,38.74495159507285,36.046164139491566,35.33302115645451,33.37405740461068,31.61270862957459,30.17329756553988,27.332117829735356,29.72685817127191,26.943114782606695,25.57031453044481,27.46064101496142,24.822272415627786,22.53804244030813,22.869103078454348,19.27695761242747,21.154369666488023,17.806656235552985,19.866404739818254,16.80593450891075,22.048066362541366,24.20094436083401,22.79200871563473,22.40275421610946,18.022454737117098,18.328755646442136,19.846407991789313,16.43197854885531,20.862910350087642,18.85105053251607,20.32008562862431,22.496180244107144,19.879508443650913,23.670035380274076,21.032493966300514,24.213338549363183,18.321209880782042,16.940766816708486,13.978197808661035,12.035146272474849,10.570440579437225,12.695753573034505,10.815607290034588,14.435882115189505,16.76562500622466,16.24886451655566,19.279344942746615,21.83114500849386,19.84302302753842,22.95835834374699,23.82805101617261,25.591706801284616,28.264308927701585,31.579397132199528,35.66981452797932,38.773715270783086,38.044645562826595,35.99201643294304,32.32041820365034,31.180069368322133,29.528055918710344,26.765302678721522,21.88259984160368,23.924680834907633,18.00706582111379,21.162382236749796,17.712228873638228,12.213176559948332,14.8247745874601,13.261072126210378,12.079186800761134,9.646501283419012,12.803872985723258,13.441324440696544,18.313168211953236,21.892031924751496,25.088170393136817,28.578440553615938,29.269603468796053,33.35185970906681,29.6335688270239,30.222415068532978,25.077911427899846,25.151965176813995,25.49466913288256,25.379052044460423,22.337966377194956,24.854328705352945,24.65957105595051,26.934646950770386,21.901064720678352,22.83693453562529,21.119234506163743,20.84323367451066,19.68405671706354,19.19981664212638,20.882947233526462,22.03207963112783,19.499937099814613,23.300804277530112,23.6879516639266,24.9847763830097,29.07468921512934,30.277879943748506,26.722653128417672,27.319397782706165,31.7369260590208,30.3615338934172,26.5484582495716,30.932957200334567,35.067376297112396,31.30809966711731,31.854564161432826,35.7759422095575,35.429914893317104,32.891908921573176,35.84185723387509,33.53662289012496,38.288372544834296,33.92460235844692,34.03614811103363,38.137374969784034,39.909724764783675,44.612359597249785,43.7617894676361,44.64909819467736,41.46478437920092,42.57135823757119,39.55409873750441,41.273827202018815,40.87358340091367,35.109976194379115,35.78088021706108,37.432154227601536,34.06497817596234,31.140849599265493,31.83548530408805,31.80316378066281,28.949736632183967,25.44038552136337,26.750823375053603,28.388621057330916,32.23441540027292,34.69886056581689,36.92345249170964,41.48838529633883,38.76229338922474,34.74376801785404,39.23447151669583,40.69297204655287,36.089925233232606,35.919335135766616,40.12847794010319,39.59870580340581,36.66425710275432,40.711405146963315,42.924377455966045,40.40259562642246,40.250862732680346,43.411826121465566,40.759078181634905,41.67305818333306,38.93769541861849,40.90768327126283,41.27963081098101,35.8399139050072,36.279320097592546,37.93322354905337,35.81524001443167,31.811751746889108,36.03284551829654,36.063853777783876,30.94263361864235,29.988257758520962,34.386980556186984,33.64352245861481,29.95608520167896,27.317662887764495,29.664475869542706,27.471721248764577,31.538285818177126,27.872938556836065,27.992940043016638,27.183339953145282,25.266081805785134,23.23454219859533,22.89104825930173,21.126632941766307,23.965503880067768,21.292029288804045,21.998748846470075,20.28803926044637,24.76945080666348,28.132896162171978,31.727660029927197,32.363591524818354,28.316006230148083,31.118531061966323,34.666739444027854,31.259412494537905,29.877736171472492,35.08355094529317,37.334487704702994,36.282581976392564,37.48104145026149,38.4222298201151],[36.69450348359396,33.40544714873822,31.377849142050472,26.51532532502127,23.656640984901404,29.22970788963235,28.129454016108472,31.849873573604217,32.744861212775355,30.744118602319062,34.07617687357626,36.96406062171469,32.264465374481745,31.680409526690173,35.510602974593034,35.024644208782675,30.536337274623662,32.55586118997393,31.0043080591305,31.592251328269484,32.6030382140101,33.80315410346156,33.176287458876224,30.271894607231722,28.232967523264282,27.555348020710223,26.5263112788266,26.574871566405367,30.588692394496587,33.10448425023262,38.36260505201523,38.40896832866551,42.89097574010912,44.07372475122078,40.10925976973262,36.45436999755918,35.67123294572077,31.50438419725528,28.614494216040505,31.172133568665977,26.225462348116924,29.9638903050584,32.58598330121141,29.050589064507747,29.549411207311227,26.737155335403138,30.32891098051387,30.832990591565867,25.66983459767484,27.89311140562974,32.10139143857977,32.341606214165274,35.551014164475376,32.02872820812596,37.37995982133758,38.956257867570166,35.55647451731721,38.72494474582091,41.9960448267687,38.76900252428016,38.007936179831795,41.94753450794864,42.652387772214624,43.07823982027618,38.95938267801372,37.45458730678188,36.716462926124336,36.56631657165833,34.912080714199426,36.357746369571096,35.11634028688339,38.07892550752678,39.7930195875297,39.926817173940194,40.27030156369169,45.3199977402501,41.866901837144596,45.908392150462674,43.04539216575041,41.4788953088905,40.526417066362534,37.25795185252562,37.55054188176642,34.936785251663814,31.077561370385073,33.051333567894616,34.701758278809585,38.645984614647396,38.076106795634274,43.9027274377387,42.558699648125334,46.46599887401606,45.09933801257139,44.68589372641855,40.99872086202367,43.49557013529813,40.04425810697017,41.46873228011035,40.04335179717011,43.156438493899635,40.335325276581635,39.41507967565177,37.33892722934463,35.36607343402963,33.40027706962437,30.685787727308284,32.646231001640835,29.501411511971533,28.34055987446819,30.676463043324727,28.345692965898614,26.3924161283325,27.103564833604672,23.635721986384574,25.73144125128497,22.401277779314736,24.317147769392275,21.099380155170728,26.0242033848788,28.503179738497167,27.209425515268954,26.985320851016507,22.61796390334725,22.9757990160245,24.390802533459365,20.796160565011245,24.80524551595392,22.56985860924904,23.52378471929531,25.462675632203027,22.179743171502665,25.56458627982215,22.76078714071611,26.520627265393927,20.773486667870444,20.229897516415303,16.892808491327308,15.897670864566999,15.011135626867791,16.927190927558286,14.811252321434159,17.56852088084044,20.50808150466441,20.279420349577727,22.963037832511834,25.878525548319082,24.092240787736703,27.281182014804653,28.018982962282784,29.93910706014197,32.36679523223283,35.87156231728908,39.786783674851335,43.012724293154136,42.43090431780027,40.29104480274681,36.680598853748656,35.31245777349712,33.759008249317475,30.660292892573715,25.683010418651936,27.778584962088903,21.780998586253347,24.444353044300527,20.366272564288526,14.730767761305424,16.585751963193516,13.840746268464363,12.909252465957469,11.91436807450585,15.205864242717826,16.72583177629751,21.288967345642934,25.04302702197456,28.464202115286696,32.04117094728936,33.120331468792656,36.85015631177351,32.87660169447501,33.244496753064624,27.818348054206698,28.194881838784518,27.716658273185566,27.068058228919806,24.318224086361866,26.83192316290396,27.058481216863754,28.561080363344516,23.433624932755503,23.781656603829152,21.56090475853027,21.917444019654354,20.349147706601798,20.10266176991505,21.684898119590617,22.506653339909015,20.626118710122338,24.446996944823937,25.014685068593938,27.05218196206587,30.738140103426687,32.53997506634834,29.21890930608582,29.196643408944055,33.68484282056005,32.854141377940536,28.714060887557064,32.797494202836454,37.352001166322495,33.857692422926824,34.02016185904443,37.92863647722588,38.06691720862287,35.342456748505334,37.874160901620485,35.299054793539085,39.96974165720675,34.83514035847697,35.28119678871526,39.41507972576155,40.75414366239434,45.569703711701045,44.363158968018936,45.53082871948266,42.40902359038006,43.55044608744258,40.840736988400366,42.07905118493966,41.4363174810456,36.01147945000697,36.641419544426306,37.64079109747826,34.280369757560365,31.667118311424414,32.0545675499188,31.421354396975566,28.85782078099415,25.68170542056787,27.63915429071566,29.78979101784332,33.50150750051268,36.27974211761327,38.79291903076531,43.45206019164324,41.10227928632157,36.95040174773534,41.397753990413115,43.24642037194432,38.836489115338736,38.375920745352616,42.756837657525956,42.489507084230304,39.381494395569476,43.113541845821835,45.5742919159771,43.24251004464084,42.64628289811024,45.61457777221332,42.73224679168834,43.54129624533799,40.859618604104064,42.411081104250634,42.717187757436974,37.49782232471659,37.6216927606118,38.89688815581924,36.89203526929001,32.85974452573116,36.51895238806631,36.36198416833959,31.51919308044834,30.289737426862303,34.183159001691706,33.394241730645184,29.91136055848229,27.779376183612875,29.36158323741553,27.570939991926327,32.01601225260736,28.95430548695165,29.48317940704132,29.38087392110692,27.00867719088603,24.757555009337008,23.692348537846172,22.084940189442875,25.24114517513111,23.516313272970255,24.233298107071036,23.355645152298347,27.766048272139557,31.26057801556055,34.70393471888763,35.76818322402194,31.78848996305476,34.261969838134476,38.040475137456745,35.05705809095807,33.389590734580736,38.39044932187783,40.927055773317946,40.10338769269717,41.379348865331735,42.39096629481929],[35.098275033447834,31.77991534731023,29.742726615104555,25.236561215239096,22.560721722976204,28.50936770216117,27.87851641282039,31.73057833646926,32.90052426909859,31.364084806496603,34.85506531967377,37.62300443868672,33.227609163169596,32.776083098891796,36.83618474182275,36.372746993868205,32.07521806210882,34.46790564209888,33.33022049525143,33.8963484018172,35.20173824691546,36.46802155530346,36.02625835842903,33.23978275099614,31.00724018575439,30.186309232878195,28.868614990254535,28.583415095761534,32.3956268440578,34.57513712970048,40.059355171667995,39.73821469785839,44.279035377332185,45.75774597359585,41.76293319391551,38.29713093648852,37.18859798236768,33.43537174671737,30.56515023152347,33.15522343298548,28.561061795982077,32.39242753386259,35.07329939766827,31.634169744094287,32.38776444969825,29.67842756452387,33.19846470176317,33.48393953056257,28.29994007694775,30.479726675211303,34.50721401786261,34.613673203983765,37.79283573117679,34.184546066128064,39.34449750183417,41.243970114430994,37.930680221699355,40.962025944996874,44.34953573963659,41.31947022307006,40.64976119147122,44.542251960246226,45.098305649529195,45.769879230479134,41.67058933134749,39.92968982690954,39.26699551890741,38.84501404850399,37.23933735827062,38.390384652951376,37.23678886686453,40.27901476581316,41.96325863433374,42.34852363935864,42.45656554469224,47.64454090999348,44.16286114351355,48.076909338070195,45.17843298075491,43.66445865703066,42.40253336374105,39.08743008843404,39.00229294531329,36.360930787800285,32.666946306144894,34.669651853435376,36.66234431668497,40.33748502321103,40.11520380409956,45.80722238414003,44.54940692537876,48.54463942175933,46.9881744618738,46.3364475295058,42.49789983197525,44.937976974386515,41.336365874619084,42.626652238881306,40.93000421723283,43.693109281547386,41.20489452391906,39.833125940166184,38.133278619707454,35.68699982347754,33.727769861124095,30.68828170736398,32.30698699608264,28.92212104286803,27.48434795108464,30.14320362514182,27.768017586813823,26.404320321195137,27.216820559455854,24.144318257390772,26.704387664281448,23.63833551192848,25.993437336545735,23.11444872761563,28.385978428874548,30.48972163642693,29.050084335263207,28.447970197585175,23.964878083005484,23.883553713667304,24.789780773288637,21.059011715105985,24.378424002738935,22.2892420093359,22.939281968348887,25.214200945012323,21.352296080056814,24.74883526331408,22.37383000389455,26.455981985596495,20.777257461226615,20.457978647418244,16.332137866794596,16.235532169748385,15.864384463604043,18.296284270875418,17.007731008254787,20.182602069601522,22.87144856729801,22.219682479587277,24.984573171605525,27.56853803146104,25.533202194117976,28.346532584300597,28.684261477337856,30.347701757806206,32.396296491492336,35.93280296291124,39.71155025403954,42.837404001631505,42.630179719291995,40.60372789914058,37.19365673075101,35.62676991906167,34.520775463319914,31.090155472571457,26.46410667410153,29.10923766353415,23.211683411591967,26.06360444639135,21.879864662385074,16.403301811558404,17.57701388909,14.873623851259774,13.085272185202557,12.556465530714263,15.607071283283792,17.60247482736598,22.299114992752408,26.035411313635628,29.555732747829843,32.9067305458372,34.21020042570962,37.86794733094553,34.09766443773154,34.18165759088418,28.86904142495372,28.67734884395675,28.174895317217654,27.607828330151552,25.11073034850506,28.218052484808837,28.852825618589186,30.364986808907133,25.592709492727156,25.486930092518662,22.986319901413967,23.076666360997812,20.883937423924284,20.160225346302084,21.27238107351252,21.507809161890656,19.4193364532505,23.003627302150946,23.192144893661577,25.590163234007267,28.88572988628501,30.95849704898672,27.70654666666877,27.164958548145055,31.663357127475415,31.056376814247244,26.61114923447845,30.51692413766054,35.313643555754126,31.891761558978448,31.77796830903448,35.663851349404275,36.09795280458426,33.24467072051515,35.49645385099894,32.795550969335736,37.408573314714666,31.963619391176653,32.59942630739282,36.7444365081526,37.989391024630486,42.79530605847551,41.59823001215079,42.99588644513769,40.00094336905261,41.32320979770844,38.871613496917554,40.057248831554794,39.11850931803593,33.792140824061974,34.68523406295815,35.45802371654291,31.90244742188984,29.53649397019709,30.13323512487531,29.035414951513086,26.34078851109987,23.72559048511419,25.522050062195294,28.28025086215356,31.885671174852718,34.523275222582086,37.32058478245703,41.88980891977252,39.854432022204826,35.5150488715225,39.70455526727991,41.8259355627569,37.516732207697736,36.691165239190205,41.099186556071736,40.95427769977533,37.65115160960184,41.178915533493736,43.7435013112848,41.46746212804015,40.56904902607626,43.44405474598101,40.46398447649114,41.335599666822134,38.81412751195214,40.210233818599214,40.297628845655595,35.17379784292039,35.34142326467182,36.33837905426618,34.2817463804419,30.381949975630384,33.9044880942871,33.488752052630986,28.713972053584524,27.6058807075028,31.31639690141906,30.325350403046063,26.871013382407142,24.820896844586535,26.152938764283167,24.43342240561857,28.981199972441214,26.16765378461428,26.904234427189245,27.17418391199938,24.57422886500991,22.224891085712613,20.839463863583077,19.39178636062462,22.775435742524675,21.621156165803242,22.6360747825542,22.216947266620178,26.321081642135777,30.11141321929725,33.36558916252847,34.8245131523424,30.76448726769136,32.8216788870478,36.79371057402196,34.241909228180674,32.182710581878446,36.95913450754231,39.76259635998987,39.19148880672164,40.61237996707659,41.749668243574554],[39.35099683617282,36.17022267634397,34.42289279362886,29.561609265606382,27.414324234036027,33.097460056309515,32.398743590855446,36.366546653782045,37.10273110142049,35.246409621165384,38.578329958263424,41.64461534525877,37.11132727083979,36.19387539404591,40.20424610162126,39.93089694161438,35.3992852023583,37.36878144830575,35.54389355262126,36.394855671690046,37.13516245784438,38.35024326831882,37.419408683700134,34.33091829378313,32.64934790292115,32.02561667348023,31.36742790100379,31.50568663560587,35.60995550856075,38.23149266319919,43.28732997654717,43.54445432754748,48.00063478456387,49.17727203184031,45.27704674539491,41.547314758796496,40.921450013729704,36.6531099962132,33.77668907698427,36.23804185118237,31.147276458994636,34.78964678876153,37.31334957231729,33.623852066172056,33.71535908887328,30.636985034009168,34.06058415330848,35.07447988245535,30.002736410471577,31.760626483909586,36.24330135240207,36.637918669336784,39.98494873310293,36.80601512679275,42.18525669008467,43.560844302576655,40.21479786416327,43.617805359133655,46.73744604130982,43.22969964418842,42.55771698841485,46.57341771680816,47.437429658929716,47.55780245170358,43.423877705106364,42.19653098754388,41.214114081468104,41.260712160128165,39.30682522298393,40.82858171327926,39.33441504367052,42.05740293614922,44.106092746883164,44.253678314862434,44.93411127722214,49.989775207946586,46.692005515809086,50.84633888249138,48.0619983800794,46.475873428000796,45.703983402485875,42.41819591175378,42.84474996037199,40.15361224862076,36.28945079075457,38.32631721566289,39.84980750603756,43.896359997371384,43.13940654853885,49.00533789960656,47.514565723805205,51.293005645904266,49.94126720889714,49.60879151839585,45.87137359046569,48.22170540552413,44.68843959622484,46.4184883603675,44.98343847878012,48.10098057769739,45.495885280926,44.54987201811364,42.618949623555515,40.54692799478401,38.588467121074274,35.74984406093961,37.51494242069418,34.184984345629196,32.851670798237755,35.4224646504258,32.97353365126188,31.35749850150968,31.899411894207418,28.572559779367193,30.559885244566743,27.177629949488946,29.110645480167587,25.67116612299468,30.351250634796664,33.09614615151739,31.574547709633194,31.404938051179226,26.866810844992383,27.381787946397214,28.778911991687632,25.49819169584201,29.270190241748193,27.338660800889475,28.204526835137898,30.38045310048789,26.67105935774497,29.960068228808975,27.33237366466485,31.38912638940886,25.721800338760527,25.362664350502907,21.57164353502634,20.947148374532812,19.953625730203107,22.0845452801749,19.595775085798635,22.249401853390996,25.272572245983824,25.322314730918546,28.07721786236308,31.051465855388354,29.24481195737599,32.426129270967195,33.16695484381046,34.85917124631884,37.24104321335005,40.59440096865766,44.58632864312014,47.55365143479743,47.16251710430436,45.225855401318434,41.66408009983683,40.36354548455436,38.92570654121161,35.84375465546489,30.968846656696876,33.08807122656302,27.080225350872873,29.715060919596038,25.55861319527765,19.904303212155536,21.548963655965686,18.345172428512125,17.470250191504864,17.02620785392075,20.28361442612926,22.01427454390612,26.566003717783286,30.339131554695136,33.79115713628962,37.362178644117314,38.44608501830077,42.18867789338253,38.18601607747401,38.50861767269731,33.02544243301176,33.39727137238209,32.69631938667072,31.844056158337512,29.26597163522766,31.744407319955613,32.06613462180319,33.20466473843031,27.91595458558637,28.12009050987496,25.681214265225563,26.454403552351003,24.675530337890894,24.487062046891445,25.84381531470917,26.215426458072045,24.559628156766912,28.17648101362058,28.4573066134804,30.983082068075117,34.184255559978745,36.34402682728498,33.080769916333466,32.39515200878709,36.89202246882791,36.27989168184258,31.609427797286898,35.4893931462963,40.40756544091149,36.779643604240675,36.47520803539038,40.395388204391836,40.84809407789283,37.65693871899387,39.82620603841984,37.14520404261348,41.84156334238891,36.11815075671678,37.155505328544386,41.33217352371826,42.545471073562034,47.335333154974634,46.11950550739285,47.78550273642706,44.913143022141796,46.3133621263412,44.02678966874308,45.014992526337124,43.93215067531525,38.79430696408558,39.70010679712318,40.13268129971415,36.58291087935946,34.43281249274487,34.85291665157952,33.39055115591058,30.89610776934747,28.554998411016726,30.61059890240752,33.516334029197694,37.066060882023635,39.79540730811698,42.65271854092667,47.23602655146672,45.2516107166763,40.90881309459484,45.062955491173035,47.23113624009928,42.917290881832294,42.024264559717935,46.40575950426447,46.22220151161165,42.83684834811792,46.35316865990684,48.88704575979759,46.47641127186065,45.52677149107979,48.42854023130341,45.43759336920375,46.432291746781004,44.03051262337081,45.332763049854975,45.24849263906092,40.1919367844059,40.414354484567454,41.160016113063165,39.052400742553615,35.30754257900437,38.587889746543404,37.87195237324318,33.25054220071815,32.23759876182999,35.536391236038746,34.29744080641302,30.960867442700287,29.040469591484957,29.701586026092397,27.930981135258754,32.71069714234921,30.11372580857553,31.38393097424494,31.6951707771705,28.655587837420917,26.58084206697793,24.99638562153638,24.030553775950263,27.715409787581923,26.813411605545777,28.0076277001697,27.485674743257864,31.483772900818636,35.419073595830135,38.679527341733916,40.07176421193195,35.900546046400876,37.908116253105035,41.880645613962365,39.16997282214952,36.96347034960964,41.791549601964185,44.595287413396626,43.953947589323846,45.440551726568955,46.57014832347689],[35.941801685732635,32.685680175872704,30.77604349925162,27.038841699658455,24.99959655760844,31.347187437721136,31.509554290840757,35.51136126854496,36.98434427092916,36.07425741165201,39.70213309844475,42.348208199117686,38.38018965925053,37.99180991085962,42.30295235311679,41.90883686287908,37.81795110468618,40.50600720577053,39.62071573067939,40.19249925603866,41.615611684804556,42.84249804014296,42.45239278820252,39.642159682706925,37.418155363604455,36.61346183799879,35.18141477183153,34.72506128712523,38.37620378379138,40.25579481057191,45.907744832320226,45.251283385628945,49.827071804837615,51.57792154454019,47.5582643668869,44.26754120080223,42.85856065814678,39.44163682288306,36.54956804291312,38.92464381736145,34.66456056790069,38.66399556280222,41.25190361849948,37.75669805646226,38.536034326082,35.6912025699906,39.045825298158555,39.405833642196306,34.13424137520873,35.94667005867655,39.98231508671922,39.84442847028025,43.19723897075919,39.7946427625031,44.76846061085555,46.941274266794686,43.84997283833287,46.910054798226966,50.26361748750649,47.26768052152527,46.85432460848915,50.807128951830315,51.35857385372068,52.14746809579408,48.05172868531319,46.25102015799055,45.665897663216896,45.1221072017712,43.49389134100921,44.441038090237875,43.2849874507907,46.30981472387793,48.07616242876453,48.65428881974978,48.66321078802575,53.92868916368518,50.43292495813205,54.25433642935355,51.29754092246403,49.74155658517343,48.237467937958456,44.79415877962652,44.37837766967595,41.58121166201388,38.12583470701583,40.30682170902146,42.61588082528783,46.08823023429217,46.19874264795739,51.78803948542241,50.628751454291816,54.67658743844622,52.97393051669083,52.12000459932632,48.14357639423894,50.4832682926568,46.72481733755588,47.93294966629629,45.94316079160884,48.257875094237455,46.20182140494496,44.25798754202622,43.01404192997684,39.967627708877316,37.889522816601186,34.53701040634123,35.520436980165755,31.75360087816374,30.033714025141663,33.224987233090026,30.926060701248005,30.485261097660548,31.441950864102914,28.94316595382281,31.94547206493224,29.17434696334758,31.884448871328807,29.23327245456768,34.65999654306708,36.55861098516501,34.94647685298435,34.03375715609198,29.446234939712244,29.001241235955867,29.34008869972451,25.632146152311908,27.900440012181,26.086172100068417,26.19384016882272,28.76335948023229,24.0600750293117,27.130649060676156,25.380048540512327,29.945618108491445,24.63338735551812,24.849884317958033,19.931088598083377,21.063673308173012,21.255725266957864,24.068797329531535,23.30204985446922,26.579014462205485,29.21685686113144,28.345109560006172,31.099056221016042,33.46794261099566,31.260436831978726,33.68658075248031,33.570492042625,34.901467446645306,36.40434950130411,39.92403709433413,43.45621884061993,46.37316304827211,46.731115079911696,44.899239357078116,41.79221240902935,39.97361803750508,39.444738995934,35.607275565949166,31.449305599157757,34.631276163548065,28.886876560595667,31.738459732010394,27.33849858194653,22.096153787730177,22.40068711256839,19.4544513787674,17.11650921511902,17.573777394106425,20.204217062343236,22.79006617579683,27.37393177337992,31.06676682080211,34.69976158097278,37.78768233142166,39.43043195985666,42.86444731926531,39.2759286653929,38.97258089809138,33.764344941206076,33.06014480142313,32.22360090311417,31.535985444051857,29.526328540002336,33.191426393499974,34.35923407873367,35.539262533099915,31.159962563223,30.353652047974688,27.44594734350883,27.50743394670903,24.563712533736457,23.450056005731827,23.86145767252381,23.09388767314354,21.197254929617962,24.171805675497936,23.785482973864745,27.01348680335101,29.30427938607693,32.0322185879772,29.09435865031665,27.383636370631418,31.76106544454447,31.773180407674655,26.73512277611828,30.042173859586565,35.35387375926601,32.17659675360039,31.345227210110988,35.093803696522585,36.244628576231996,33.026366703871666,34.51932416778567,31.538571644471453,35.944579049100916,29.56593285679708,30.87953867018539,34.978133464105284,35.82865353487339,40.637537356153125,39.25261906819105,41.272018503578884,38.67010913417973,40.35458113867427,38.60564164895701,39.40100907082413,37.79250441739125,32.96402868806399,34.30163990142349,34.25077186986051,30.41556765543608,28.80700588261517,29.57648581492354,27.240278453510502,24.606170278342237,23.460456980266663,25.220996720559206,29.20519299150302,32.41945098424146,34.88363897823812,38.24379692463358,42.610897050754225,41.30385427427223,36.6880266380115,40.317659612083304,43.02519453181735,39.041187099815616,37.477951214783026,41.89355503892972,42.04355267686431,38.376421501032446,41.35349227416457,44.137075688131176,42.01700480767444,40.41647130662548,43.009891538586324,39.81110851739713,40.787437823423346,38.67338471784171,39.562439589366384,39.147594234489105,34.42437501884724,34.565984963386526,34.76360530728871,32.67947460170422,29.196496548833206,32.02566229336568,30.89892630199256,26.574275654398743,25.6814973648462,28.49421726387906,27.000627917781173,23.822929050933276,22.31980634023288,22.387541716729423,21.090157513516612,25.968978816197552,24.137982451007773,25.640950298129116,26.918549324476245,23.659600538149085,21.2795779597566,18.937222190524647,18.206806891274102,22.060214715028888,22.50314328618943,24.02637169748234,24.62032606256385,27.983109194600537,32.21069448017819,35.00352084414777,37.173246061266916,33.09591234879879,34.28049592051598,38.55963442577954,36.84418816629212,34.06465631575705,38.30074168196006,41.57943480732779,41.46608629117205,43.13983283592269,44.462415006702045],[34.95847451787088,31.884622341455763,30.396860792745237,25.965972613882535,24.66777205082891,30.58180983256802,30.755049636736157,35.01406614554739,35.93887807996023,34.900682953814,38.43334633591412,41.405288093220555,37.55806894921888,36.62425620121561,41.125316800838995,41.07536638289537,36.91191888650528,39.59640365855378,38.54114079089152,39.62179377385171,40.96412255135396,42.5913152965274,41.9623242930354,39.143140263032585,37.038510084632364,35.85477093825164,34.75504769778707,34.1029428878963,37.84622100401828,39.889729755410904,45.126715650162026,44.90837183239026,49.41789475222613,51.21860263933154,47.381612298100656,43.97082576645275,42.92670539075952,39.48784986513513,36.805058048425465,39.77264749954297,35.078768221524996,38.65911233197848,41.54864312868436,38.18859899443278,38.80949667152143,36.06043486089273,39.639159229242516,40.116335367634555,34.96174767458125,37.12757653338637,41.28227339567032,41.35441635669732,44.576456000262226,40.94234277483823,46.117103001853046,48.00458513892691,44.595798953750624,47.5438084201062,51.00671029862808,47.95348020351166,47.085193362963075,50.84199142372484,51.26933114599902,51.79732986532867,47.778336464864594,46.017457559047315,44.85052845829136,44.28899607028638,42.199589000829334,43.05599574095794,41.633575492067266,44.4301643163043,46.5520975431454,47.346821844813654,47.67141644644356,53.112180796193854,49.97862383897255,53.93652317866684,51.25310139931233,49.990089029030784,48.71387799050069,45.59406193823359,45.2852621987338,42.836962916774006,39.18108093134422,40.93455405377063,42.937868035216326,46.42676741742822,46.08833681817817,51.62860562361811,50.09335261001735,53.9175375120859,52.1104874109337,51.3251631456534,47.236724948084664,49.33488994386074,45.472630370569796,47.21300667965074,45.317983800757084,47.8863496338928,46.10484275847614,44.554197327417825,43.454152616871085,40.72130482748894,39.219134871846684,35.69366687091667,37.122292685669954,33.607381852192155,31.5357523108217,34.3934591443411,31.57466693506848,30.92374385244284,31.228593211208803,28.62531971339549,31.110662159138105,28.1873970325184,30.887236105508737,28.024615005390327,33.31443935856136,35.33362698991758,33.39173061512703,32.51313990841909,27.770783838789644,27.603753862151805,28.175934179473543,25.09402281423726,27.761092358073043,26.49162361155497,27.17338737601371,30.189518543221695,25.873495363165276,29.420702449040107,27.7315882831819,31.979689236552954,26.374593503828944,25.861657936431353,20.95897574936302,21.331338273737078,20.773378796720017,23.82160251853165,22.53550785632757,26.224095778705756,28.57886516062396,27.93123596864818,31.04747955713245,33.29043763312319,30.96347986674481,33.453132344574854,33.63073605462951,34.61931825388476,36.489961771963245,39.59949968173227,43.50308304088891,45.99091969724012,46.255839823614124,44.73944944802078,41.53758465667863,40.14051317593657,39.45964048684198,36.132845619941605,32.00767125604897,34.954163288803414,29.187680734883756,32.416119455891,28.456278421157084,23.00920164684284,24.129638832348487,21.4964652917241,19.28443658594172,18.820501251593104,21.660964562600267,23.61971144844573,28.539261788430036,32.18196550585706,35.63307001189508,38.761180165477334,39.90540050920787,43.79166186490391,40.31943160905511,40.335983118874076,35.22154571313748,34.463881655977474,34.249717557522,33.84939653142658,31.50402753960911,34.9206088019199,35.57688225589845,37.18106232355385,32.40271314846454,32.2620406812709,29.66507087456345,29.68860146722397,27.170046938150875,26.10354498580285,26.737629257588793,26.23999276477425,23.817945162683017,26.865269180063297,26.127911568635582,28.90339648204313,31.413983053014636,33.71122310022259,30.434197374913158,28.923918172701754,33.32601901712546,32.7557593063123,27.47841489079487,31.132250938169744,36.3232866961428,32.486245889631654,31.673591158001404,35.55469854180097,36.314686247388245,32.69887971551355,34.47482392955486,31.74802761133449,36.44671468366292,30.470190016537284,32.02054896113243,36.2104327965047,37.63173070618382,42.32204635955053,41.43891235520946,43.579160719057555,41.1072949617004,42.99656290259542,41.170751743423004,42.37407454694907,40.71341787818415,35.61039084911686,37.22028420759737,37.53339196731569,33.49895495712131,31.811796254671755,32.93780817232824,30.72499199586945,27.751153777267454,26.683810469749925,27.837961621168446,31.80203840436354,35.15156871816898,37.267424354608,40.568901857558274,44.827220503549185,43.29414804821301,38.64513520709911,42.153596670342004,44.63669124864451,40.420147743789414,38.84907239334099,43.07623472010729,42.92050391146353,39.17299578489492,42.441448723723795,44.954724678340966,42.411009174289774,41.08932001143919,43.951312096726575,40.94720253338468,42.30497722236426,40.36799848941962,41.62608092589948,40.90757652022324,35.94434947485805,36.65486904486913,36.87912818172405,34.473365964716486,31.25736601920852,34.58838003653581,33.1461979951205,28.5231198037236,28.249289551215494,31.27770734802143,29.35069941737053,25.92101552253511,23.73679626955485,23.985327022102542,21.865140615180998,26.71761314601776,24.315468041228506,26.203433779366513,26.843333779549212,23.26179302139615,21.42348516875287,19.550891097987233,19.35184892699881,23.542066763459147,23.425358383995203,25.470775509595548,25.28085045122188,28.420773288645552,33.01806484913152,35.90300630938678,37.79995116779413,33.369025662966415,34.55891867932121,38.76357547729316,36.67033645997614,33.65789494151772,38.078122698764595,41.268956323665044,41.00938145510025,42.81441484858634,44.19010986624871],[38.72225818330877,35.73875565782722,34.39572873329358,29.683330833316894,28.52916726715536,34.23095129657583,34.1977436204078,38.47625380483713,39.1065484860133,37.7352974389283,41.140929281742864,44.314710860400716,40.268474122019676,39.053663405559796,43.45423126235009,43.48779581037123,39.12007215877819,41.451708138826696,39.87670284676771,41.099654725297015,42.02399578745339,43.57042231604289,42.604896590083385,39.57870972724223,37.86231813821903,36.86250142308388,36.20751626717175,35.9096225314482,39.88487854394699,42.28124495958009,47.24249351972195,47.445955087840595,51.90447873716912,53.43258485004348,49.6386609063621,46.01681239179266,45.32019580051081,41.447268980541786,38.724132884989906,41.555633397838974,36.51481868862156,39.99152416203581,42.74520027055424,39.195024247678774,39.36105260535884,36.37171934763954,39.8550629976138,40.82596656491847,35.76984105031565,37.62918627731903,42.081959273796485,42.385909019052384,45.71491217348534,42.386076117429425,47.71608012242703,49.22427061237738,45.80154977582034,49.03695417096375,52.296911689923014,48.89380207734175,48.04985527710518,51.91497789038509,52.58459481572481,52.718731053865405,48.66370183074413,47.28201891786135,45.94017447961179,45.743595400980546,43.4560634766621,44.62848122603057,42.98395809217243,45.563545534967126,47.908677367382225,48.4715093640832,49.20226804595756,54.51415555685275,51.47312650596483,55.608587178999876,52.981598643927526,51.6321310974287,50.719013128596934,47.58391887650156,47.68990324859359,45.166462067470285,41.365629167037746,43.18751844556482,44.8500605394263,48.646890277860436,47.92760974787854,53.62710028697907,51.95044997470279,55.636005901097775,54.01620579639091,53.49225285659903,49.51170199596967,51.591823515098156,47.816195464822094,49.83017852878898,48.16303494221754,51.03897924299443,49.05513261202561,47.854508846216895,46.47761127948826,44.06455297750191,42.476819886703915,39.17056988448622,40.75086753838166,37.28439424945865,35.40662346437536,38.1721615220598,35.37151711501395,34.38615762025242,34.584548080971146,31.68962675996217,33.77159269074719,30.580163972409323,32.922609871676215,29.647952059861133,34.50664789796344,37.005799634530106,35.072690070420535,34.558153640435776,29.814744544128708,30.10791394754588,31.111220383190545,28.235807649202485,31.388606653993744,30.065135292721525,30.904589565531044,33.71483157235578,29.572027318728498,33.03332915217913,31.006111991084385,35.24044186534421,29.578946355216978,29.07356797403348,24.524773695548912,24.41672275129648,23.452465208737184,26.196382107659236,24.079530155344447,27.35082495752201,29.979744970625738,29.820260786986925,32.88829859614838,35.47082437086347,33.34559716995408,36.17046338051746,36.67577459011741,37.80948541703409,39.972209538875184,43.021567601289014,47.07775019607365,49.54668481692404,49.591749164842945,48.06242480085051,44.70263025023476,43.4774034408459,42.47118525271674,39.37564501188846,34.95236579413021,37.481716669792995,31.578808634701364,34.612908145841395,30.606856967826534,24.985249234723433,26.43919884157593,23.427399540660453,21.86393294920644,21.43089721497145,24.511985067842392,26.328642614227476,31.15999056343131,34.87493421391496,38.31214859636949,41.655601635756184,42.66921137287465,46.59974158869859,42.892511946695535,43.09588780337857,37.793958079047144,37.537362413172985,37.12423263667137,36.48402274223146,34.03825409786668,36.97781813083021,37.4179852394521,38.744554064159324,33.59332524668516,33.67725062940988,31.12275953104254,31.63216254032663,29.435157596250793,28.7954053480383,29.70045974983654,29.44344790397815,27.391268344453067,30.600961863670413,30.133243271063918,32.93323449608253,35.536284587163635,37.85827462635196,34.57535986039173,33.15364143716826,37.56427326228969,36.98358830279677,31.715396081216376,35.37869052806788,40.57016446908395,36.658911808984676,35.82909168005256,39.71470775741729,40.425498751041026,36.69052181469408,38.471068357915556,35.79131440792662,40.5033956344471,34.44418040134483,36.14750954605243,40.32317318570217,41.67502871983483,46.34411414902603,45.399631163351174,47.626456027518465,45.170177253573556,47.01994023853171,45.21863113989244,46.258406965937034,44.60836012945794,39.63080908455701,41.11499327522583,41.23502380562367,37.303569385023415,35.66430659466011,36.54568714825928,34.25428139627969,31.508632042402972,30.342422393929468,31.83759829935811,35.67475666420185,39.038562275939285,41.328528368780475,44.58695236392196,48.91631277475464,47.33432536243715,42.73239513975987,46.33909037709856,48.79707210322936,44.55584876409735,43.06923239490913,47.304924709360705,47.120456571131754,43.39198003121266,46.691277012653465,49.183043924377934,46.581357282191604,45.29708262862896,48.1740196139908,45.17473947346575,46.54323326837065,44.60331780076141,45.806537704238636,45.09335023981939,40.17540226630524,40.82553307018435,40.985767240958324,38.61481777067195,35.411421602340134,38.56329864871861,37.07106177792237,32.58585808645198,32.22285679598985,35.02214380619733,33.075765844594756,29.78545830437383,27.772103141328657,27.653002900787953,25.61092594180223,30.517946955530462,28.264368146388136,30.34823417815277,30.93751757838256,27.23247699385711,25.551534544736406,23.6556499293113,23.576368980994832,27.77801583137436,27.6288906268827,29.580948775238184,29.258994189736992,32.52289193960407,37.07314000850213,40.037739981539715,41.8029330971796,37.34883074729867,38.664896591322574,42.82093313784518,40.52017973094709,37.56976788873199,42.08395859869812,45.201637460438974,44.8369807480501,46.62736913465728,47.962058847883455],[40.54053248150835,37.76382665292251,36.734108184383146,32.34278601023028,31.886615400314643,37.53682324868846,37.972277471830736,42.38384939288255,42.973020196955765,41.92722387023248,45.344036942590435,48.55555927684686,44.82218980668132,43.44439337046405,48.03023604337108,48.23492397459957,43.970013986590416,46.44562375874246,44.93848389047664,46.338339259791496,47.278602938739674,48.927464637964206,47.89243797818872,44.849628849317334,43.20452588172872,42.105320594079046,41.51101295577327,41.07130165714907,44.98595405324082,47.2774548186979,52.167146464030125,52.3504571698492,56.79634680606594,58.488983859150785,54.75173356664776,51.18272190866018,50.45356673875637,46.74532624609241,44.07201532125743,46.96525652630943,41.956004888217386,45.39147162872826,48.18062061295356,44.632533045137016,44.739887335237675,41.703963847072394,45.13710111712454,46.21734933722367,41.16796942141514,42.901373750335274,47.401052315892066,47.681408312348324,51.06142865967831,47.793454856448555,53.09080900988802,54.63626142800632,51.23388215530109,54.47312627842374,57.74021207659199,54.31035689492249,53.467308205611296,57.306976487071815,57.946503666040414,58.03055992193819,54.00310879544081,52.627736429469635,51.11997289626601,50.86800233287586,48.40108760023153,49.42936564967799,47.68030647744852,50.12658503026131,52.66278792009261,53.40659506354969,54.22299337092483,59.62917235092836,56.72106066715402,60.85856459780545,58.300234231531874,57.0235286767205,56.067355107866874,52.957766165182235,52.938061835383564,50.42914229397676,46.682989817232375,48.47710278279218,50.20466333252898,53.90887715000881,53.21013685129507,58.8396499583501,57.0776206216043,60.69790723233473,58.964608412835254,58.360910607293214,54.27015155399242,56.18820745344924,52.29492308003668,54.470366898071774,52.67768838198885,55.38043264383472,53.75794649824643,52.375394704172365,51.30777793906787,48.66917094073568,47.20015372076836,43.67642658356707,45.04173626797632,41.45873312565493,39.33252774232565,42.26677039912319,39.3581239509638,38.81149839114113,38.87635552067312,36.27260499777817,38.40911576264894,35.34566414001582,37.85119231542589,34.64811466504072,39.494134082552755,41.921827982839964,39.79360725392319,39.13451822258995,34.33620921240251,34.52835633268294,35.293584076022185,32.665999303436145,35.355876049652586,34.362522619604455,35.08296688276758,38.15862065834257,33.72031947614683,37.11945129419536,35.436941893498,39.82050333949773,34.272352293057885,33.83822302052227,28.93882034184613,29.21127043264485,28.338835227072014,31.303929618675557,29.325366928572123,32.73336783181628,35.25423825573168,35.05059421761641,38.20993164919807,40.64915362304091,38.404188643910636,41.04287495929166,41.400723194740074,42.23704226484307,44.21069171622462,47.082144623924584,51.11153853167006,53.26795163443764,53.62040797549262,52.33879936322072,49.13254092890998,47.920544387299785,47.18749395189206,44.04492107385239,39.88136768345809,42.61744290358092,36.77907880770259,39.92040832974262,35.90899771329036,30.326170569382143,31.573579896790772,28.518319347021873,26.736263347938124,26.515472410841912,29.470846936171164,31.417944645716922,36.29358489424883,39.98251821370528,43.43298197301572,46.65584010435111,47.69629124540186,51.652564367944436,48.06966115692343,48.16477104030716,42.93110074618974,42.399085006882395,41.98330729643482,41.35136070043602,39.06030698248662,42.20884260224736,42.78320247519639,44.044089587962205,38.962220182371304,38.8753236607344,36.190563380844914,36.70332546122561,34.24892147618655,33.44168554890301,34.06131076159538,33.37815424664641,31.317999959145578,34.18805852924458,33.31540473132365,36.38414805342624,38.436055240922535,40.966555323828985,37.79982159064571,35.77923397705024,40.02992165016474,39.62793627503578,34.01550791690919,37.32768880078464,42.7015229833387,38.75111256346847,37.45872122474668,41.2116622149485,42.23175493208991,38.13501991168679,39.44873725689132,36.76750673849954,41.335625760164014,34.9353799654176,37.21820941797704,41.28768336071953,42.56912412279132,47.07267721401436,46.24599020736779,48.959583860502484,46.87549463287755,49.02896788048209,47.6989542861553,48.610023241273495,46.505966927748425,41.858019301862704,43.70067795280947,43.39553441186375,39.29074581700903,38.154930883002734,39.23388515375667,36.23745319728039,33.50924611115222,33.2945615210805,34.55142393663701,39.02637561529782,42.16003506131783,44.20016173785922,47.75139593941757,51.87457801743761,50.68555710633942,45.94193201092948,49.11241634212554,51.84127823444066,47.75490628827869,45.81580196478234,49.93116251403968,49.81793887679021,45.86259237535018,48.86784342164705,51.36146600495457,48.713098517043825,47.08282842321035,49.836716504804464,46.81541788870063,48.40349762719191,46.84563743543899,47.832580666811715,46.652128596166264,42.00726188508809,42.85747072537696,42.4669022915306,39.99558118392739,37.27433979122642,40.0602560265066,37.956512958258784,33.82473625171502,33.87100144181357,36.01576690710301,33.563033239080326,30.528349694024293,28.721888806144975,27.68273363520301,25.680644797631672,30.583971715009476,28.930846108152824,31.684833790644785,32.658349629740684,28.494308428383704,27.13928808356189,24.90918086751802,25.546115367081338,29.967675229922587,30.56991946787961,32.93210313978711,32.91439301533998,35.61964555181129,40.491226153526775,43.17679289908691,45.25663442793733,40.70560131645625,41.46791372380478,45.72882867066106,43.829920059248316,40.375888947099185,44.53986965546009,47.89436659329636,47.77729835499441,49.767906467964025,51.23354824421533],[45.54837104772208,42.71799279541624,41.56701509841889,37.14631445921049,36.366822921741836,42.084508031663226,42.25994802143344,46.581442980346765,47.15936006748078,45.81289890986617,49.16582473566996,52.42126373070524,48.38890527868245,47.018273186260096,51.40198086050702,51.50245734834809,47.05930161970998,49.1724276993936,47.227673525292246,48.498075875657456,49.044683238877184,50.392929502745936,49.132380628795886,45.893704194740835,44.61291150139797,43.90594031492216,43.59141330010643,43.6033816330001,47.70231495135055,50.27202015131956,55.09462972968724,55.490226619521145,59.918944382745536,61.29043832565213,57.50549388325386,53.780239888010875,53.22842915324329,49.08707577508188,46.27690126022591,48.731681862620555,43.60445501668415,47.11924164454345,49.60078349322927,45.812454877696794,45.52321982894312,42.2206976574541,45.4031672046669,46.93649079118064,41.97590898620789,43.19929638686268,47.9108940084116,48.31522663885187,51.86214017049853,49.060855634005264,54.38798009767216,55.65169193295716,52.42362923426191,56.003165567133614,58.971573177316614,55.2196726959134,54.63262274775587,58.67319124435279,59.633969696318346,59.43342588496679,55.35222212722147,54.362183592403156,52.98756417924627,53.12941819935142,50.71223906566743,52.12205064068458,50.29450614835148,52.639664424252445,55.20327778321187,55.575366442899664,56.643421487356356,61.80685558744359,58.80873715453912,63.0532035197272,60.41599898184125,58.897474202732134,58.215012185168305,54.939666054911704,55.3062353484775,52.56187662116032,48.769502636079594,50.83294705566311,52.34805841701635,56.35892354490675,55.488694000004195,61.30199428990806,59.59347628407015,63.1811057228441,61.710158502023475,61.35072166160559,57.438263086595654,59.47876650744296,55.73526856111041,57.90602032181133,56.3057234409591,59.21705694121247,57.21684857787639,56.01141909702746,54.56606272086404,52.11593933459751,50.287822915274226,47.07575561621675,48.41721791762962,44.7848048214721,43.01654093603488,45.99623390291215,43.32963164208294,42.50567189937441,42.77688963916372,39.903657760670576,41.90551562149357,38.641155567903496,40.80405022123613,37.31643595797411,41.798272847598774,44.63431421884744,42.69918311238445,42.387724721293836,37.66339790111882,38.15246487262143,39.232794369814364,36.4559404130792,39.49038615848787,38.16570399548585,38.812085665683675,41.48897831044556,37.08721107166234,40.215786447066044,38.15912270549499,42.623664392220334,37.15028406334516,37.00770093770673,32.449741905121144,32.550838805492255,31.622386913592436,34.215224769630844,31.727076811047628,34.531645985641774,37.416870046662176,37.57382911414187,40.503342108557185,43.33343803287365,41.34794382331379,44.29666144632251,44.8480038826775,46.014224645456984,48.1271258981128,51.165613044624216,55.18702833772448,57.57483187785761,57.71845340048999,56.2409107534515,52.89713569857607,51.64972765104594,50.63870451677956,47.48256781292055,42.98750961662327,45.40870320443193,39.45128526527744,42.22209243028068,37.9950902738536,32.38967393910892,33.614663522329565,30.143973972151905,28.95009688809938,29.064599568345866,32.141698801222425,34.18002607565736,38.81634293522409,42.58630153832946,46.09510577727666,49.52062417258769,50.65937471087138,54.44320721468098,50.565114047510924,50.70885004351442,45.254229980079224,45.26187993901936,44.37960421395808,43.386992187526246,41.147638557651895,43.89083395237348,44.462648215488855,45.226850384867035,40.03004408525723,39.86698633902851,37.14526571367107,38.143606181229096,35.87864588919305,35.48885824341843,36.293591514804234,35.78212618328376,34.29418803499728,37.30632645584084,36.87732674598499,40.113476287717276,42.227410975725405,44.941361730295064,41.892691187967195,39.947328041194545,44.221274770609256,44.039939385430664,38.563941581925896,41.80070957068964,47.216233049056264,43.48509708433077,42.231173910885374,45.957250557857144,47.071045600016554,43.08097527997037,44.344098744763535,41.5829106548996,46.0515959271293,39.433539681070066,41.67746145816772,45.69712309273986,46.644699963533824,51.17208133049888,50.04056854524042,52.73435802358134,50.57334961321057,52.5536027750544,51.2434356677187,51.80104153284265,49.784755132121106,45.37967663920546,46.92437966906513,46.295460454541654,42.43968430202046,41.34499369210873,41.99501739032362,38.95872986579615,36.64171462561107,36.20747042346846,38.04859678317869,42.315828088103494,45.41451494026708,47.80416288901018,51.30110966389125,55.5668172624839,54.392087055678026,49.72478002183743,53.09938723113302,55.87925390627372,51.85245122549592,50.05174750065489,54.28375137317657,54.27651990651267,50.39405990298529,53.336854716517244,55.94196910606018,53.43480160360135,51.75036280234114,54.40823063973676,51.30046699534324,52.69294400833609,51.00646172816265,51.790337715380154,50.808623755903916,46.29294852690928,46.797897336107184,46.39475820247163,44.12575248983926,41.245723003267834,43.660508366096785,41.725835916963845,37.84985922561798,37.49355627618786,39.36168410135216,37.16695467632986,34.38722668376883,33.0175058751049,31.701492778000524,30.156894935359073,35.07477897414872,33.72093077739497,36.37036534433982,37.516460349295514,33.43809651812994,31.929630827121866,29.556584330458584,29.959525063559624,34.22486131806896,34.89805086787438,36.919810954314656,37.05230523696069,40.06348622103034,44.71609712551179,47.4858176973022,49.51646746336511,45.10416270701225,46.0650638219944,50.322698154170276,48.33686226072057,45.094760997703425,49.337361764514874,52.64702957137118,52.45871916177035,54.35949040373044,55.734930886018354],[44.51017556219126,41.91077413166244,41.12062604988296,36.80109021198565,36.74100612533899,42.240692288282354,42.81213314648754,47.28379181806661,47.71374181110128,46.68329945066487,50.03254654033837,53.350434970954815,49.69555149321394,48.106452239671135,52.723886546661554,53.05905905705887,48.76272878275969,51.1373584474303,49.42254119151374,50.97816752070731,51.71773490288046,53.37556367292925,52.13944480116396,49.002693237680624,47.60098780589554,46.54487447318657,46.194182161506006,45.847721150580504,49.826056575968586,52.223652162827136,56.93056389916819,57.30931287312117,61.71577874696865,63.359778340950534,59.68094664945363,56.04419175020762,55.46715273120064,51.64530932505161,48.98559472755993,51.83947116910354,46.7012088008249,50.05079923295802,52.781425029501506,49.158238437077735,49.01344436898086,45.859978569154876,49.19327977736423,50.56733005460582,45.59860790027388,47.10904024469152,51.75071138651668,52.12158355872143,55.573057150926694,52.49827571854235,57.83806666279502,59.21124644073574,55.82513820907742,59.19947337272733,62.35794116027397,58.74656787353065,57.91990330888012,61.785752131324344,62.53021689333107,62.38167490318641,58.37181370526305,57.19547618031401,55.51526579832872,55.416581637834,52.7624522655907,53.867011092519995,51.95734180137817,54.20764469355426,56.9517818464366,57.676209172148205,58.74228891185223,64.11913186440091,61.340822628305496,65.55888129646429,63.07245856906306,61.79502944459002,60.99787308416224,57.90044432005944,58.01299018299903,55.481894506521044,51.699947281684906,53.50820189872049,55.10320337531862,58.901588842267586,58.02838955623611,63.687436053013194,61.811937405081075,65.31639543859632,63.61915701041633,63.10431866583841,59.01664759943275,60.832078539297555,56.92822878501849,59.32269303244751,57.57804483765849,60.33418011463187,58.80917892245866,57.50027308144339,56.46436481396409,53.86099239901054,52.415123990163806,48.88208004002988,50.2099586577934,46.594699439532775,44.43438938607352,47.406476673437446,44.45666218480554,43.97566371848299,43.92831280943175,41.34298121550864,43.321734403765134,40.21432414098083,42.62895148489495,39.29577123956822,43.903500397220554,46.50538819270906,44.29290188216766,43.733287829329946,38.94025201510946,39.284109224802286,40.119555714662624,37.70702247923297,40.37871547074411,39.51758515335135,40.24886685962106,43.359624667151586,38.863499011629685,42.19242337520328,40.531440126344606,44.970990122859284,39.45731272459,39.056724619985694,34.153664858886444,34.397643961570985,33.409904823621176,36.341389771368696,34.09793631145627,37.36591346593258,39.932911192264115,39.923155403398425,43.09356275398683,45.60636236280629,43.39844009500561,46.08917249550577,46.52164289537296,47.274829264347176,49.28335847818035,52.031345462764996,56.11219316219031,58.0885674072172,58.49707407305428,57.34487000476149,54.14895641005153,53.02611234002179,52.28166033014046,49.22401201700833,45.0594476009813,47.707247118968056,41.850027358919526,44.951268226931845,40.927715229851465,35.3141828795987,36.59789034521973,33.38951726450218,31.77700249230226,31.654761498822648,34.64077853193272,36.58184784035912,41.43324174929946,45.13643656219418,48.5834490947847,51.842451547267885,52.83490016279191,56.82138585410171,53.19576872832091,53.32351225738215,48.043258203626586,47.60053184837092,47.09569688816325,46.36192639079134,44.10597197282061,47.13611850969494,47.67412498737729,48.76996490583295,43.57721283723051,43.50407861188086,40.79502969889649,41.520875559615064,39.096638210341425,38.39647500689755,38.996715511076644,38.220748335856676,36.31858834926451,39.08777191167038,38.14340667076649,41.33583276159314,43.15049710258121,45.78573797705906,42.684603919791115,40.420918764603854,44.56899755939379,44.25477955223138,38.5130305956087,41.62564518628836,47.05336170881415,43.074909411756025,41.54660821748188,45.19437831781808,46.34772255081044,42.04053987090767,43.089613953182166,40.464718254084055,44.90284785656515,38.365516768301966,41.00245452879039,44.95925234439205,46.15335198813692,50.51702184008166,49.72539542631,52.73802787868068,50.88508434162484,53.17338881266569,52.11962224885026,52.87704033857228,50.542175259880224,46.16062017762787,48.12140116914072,47.501326118766315,43.38679795981371,42.54317701649355,43.603114977251174,40.23789972238769,37.65622277757063,37.867390544589405,39.14517476588677,43.85120628139916,46.863528022481916,48.84606732493976,52.51859141548233,56.556200780273706,55.55434790507029,50.77064437032988,53.74909754255487,56.60190929701782,52.595444227813786,50.46508669484329,54.504972704150816,54.41561849674754,50.36375710393693,53.212587182355854,55.68404521608112,52.9940709841012,51.20322645560405,53.879364384993785,50.86791132781324,52.572578536227844,51.229234624773895,52.06875977824966,50.64151494481745,46.1983358994926,47.12153136590242,46.40829485561273,43.92178269354229,41.48689124739288,43.9694155772135,41.53557873211895,37.71435115149525,37.93172656927494,39.59722903282993,36.900954242437294,34.12695768468591,32.54210890930075,30.88706025890247,29.00213898125662,33.78903176876001,32.56278813920077,35.6915851986319,36.821020094356186,32.44611789604933,31.34274697740471,28.996835469873865,29.993003517912257,34.45487881684506,35.3841538289164,37.88298312254113,37.94903054336464,40.435011152951525,45.423958271345334,47.99769348439924,50.16743936473471,45.572042582661005,46.10975884346804,50.38398270478885,48.602667126649216,44.93414692457919,48.936806428905136,52.364047279177065,52.32488680071435,54.41104992610177,55.92263675812612],[43.30171835747627,40.94257827054475,40.54655716090275,35.725161383683194,36.286888130330205,41.207186233491036,41.753474271717735,46.32827091574648,46.23579732679218,45.11459656013845,48.28255859497543,51.83320634885805,48.38486439705246,46.32162197738271,51.0144798382954,51.676296044305104,47.42367702625385,49.7666752569467,47.97312331708985,49.98825110297165,50.68752363423254,52.73200696096396,51.32961475183546,48.28226714530992,46.96391332850916,45.52722761162032,45.45684822831382,44.893556937839485,48.83984008696827,51.313117312470624,55.54672635294662,56.31673096895053,60.594485830561425,62.28980363891741,58.84088028511235,55.163599899185364,54.916126694586836,51.18536514853677,48.77871722435965,52.172841641275795,46.758588678506335,49.6561166937025,52.66203153113925,49.26357453625473,49.0525664625862,46.103618942706966,49.63173396730293,50.989837650094096,46.19633922631498,48.10351930239255,52.73915107730766,53.27395329579698,56.52580555989877,53.177391982086604,58.63630226799921,59.78794203449896,56.11433929619998,59.28547657816685,62.56369342710131,58.99807231877318,57.70903285653114,61.30449727466554,61.87024097784737,61.514609560117584,57.64239225662289,56.46317216134845,54.239811993557566,54.07672754643233,51.02487041465958,51.9791497732499,49.855701976518525,51.8322887371753,54.87601655788914,55.840747817901175,57.169718043034464,62.66242838827754,60.2853483066519,64.56637781142598,62.38341139739613,61.43275768049943,60.82157109721191,58.08207659979016,58.243004072941936,56.082671849960164,52.170858573127084,53.53988260304667,54.862159020920345,58.58533793416836,57.326070887828024,62.83961873182442,60.6218511787989,63.86385138520815,62.06143134097553,61.600412707360675,57.45647230733644,58.997796077095934,55.05455578060216,57.920751162002205,56.28801680403214,59.23852862996235,58.00607028237379,57.08067457203999,56.20409366387783,53.91705904842794,53.02332851196471,49.36901487961378,51.08728949538528,47.73512449766704,45.30258463930439,47.93344890481094,44.583092552414826,43.91920886620018,43.30965609795379,40.71410275433567,42.18271656819346,39.06039864995071,41.39857505345334,38.02032233558763,42.357283129655315,44.957811933896636,42.48387760804314,41.95566008703947,37.204785930170345,37.78253293952093,38.78639557141775,37.02028346909238,39.9338488810015,39.54571040990224,40.73102744929109,44.15541910026229,40.04600360197006,43.753499117379995,42.154987745891766,46.28882454676819,40.58017661239883,39.5959138263122,34.811250306856934,34.496556406836575,32.986806359764095,35.99264280717707,33.47108827820952,37.00389002848327,39.190020174278416,39.33765640535629,42.744161501971845,45.04005551811643,42.76506710247713,45.417200307484926,46.08598280104438,46.50951176490686,48.80662466247112,51.125641201548774,55.48633991524677,57.033032947226154,57.334168579840835,56.49711078205464,53.26535911670235,52.55327872051837,51.68910709721923,49.144540065995756,45.10126910769109,47.51994085082834,41.788011742467134,45.17440914347244,41.6211164817881,35.983257769794754,37.847376219052414,34.999252965337526,33.39060982671207,32.59954679019007,35.64301103358648,37.069803339711186,42.0980887924186,45.68758503340743,48.920857775898085,52.15171603097501,52.6774084024597,57.0387174290596,53.58620388966772,53.99299855921649,48.87636191099512,48.340390425649275,48.422272588070165,47.9885912951632,45.45341432337377,48.30713022976059,48.40203236692596,49.94505583121497,44.500719244518635,45.01148344387775,42.594586942890935,43.17554894375274,41.07930828272389,40.34877303647056,41.11351637314749,40.57464106020043,38.19385318356181,41.05121993480053,39.86400534565272,42.613329373791366,44.685740849689296,46.881881232038104,43.50327564967338,41.5309538693899,45.67769092610249,44.81245971032408,39.0235511326703,42.43769819436423,47.63702719169026,43.120199292675515,41.713136646725395,45.43247513705122,46.13638689975861,41.593506345881984,42.963227466257095,40.652747235694285,45.31008275714051,39.37458390911751,42.05018192987752,46.05906401237358,47.8231695336619,52.082303202690554,51.77846532509537,54.76027414483954,52.94923554258338,55.36609191416883,54.130015909307005,55.33390838319651,53.05397872352718,48.32023529345085,50.4691957456102,50.32090362341949,46.03837423845047,44.988558991260994,46.36294486256898,43.28787017061872,40.34556163119474,40.39686619408946,41.18105882197178,45.751910019269175,48.92559835038374,50.61435393966421,54.17090435493772,58.118765505145426,56.84250992887248,52.071227226688784,54.98229793790018,57.5573144245307,53.338028372574506,51.284243790943364,55.122775572638,54.7279195691799,50.68319885244379,53.82523622378381,56.002875507678596,52.936422812279105,51.50098831312679,54.43389049308106,51.65322183501028,53.67425768338532,52.43923130798554,53.678370166751584,52.06469966277869,47.36909013672449,48.78427757226901,48.23132591259319,45.478531168234795,43.201220804379076,46.239899293801614,43.687415099884625,39.520255422116016,40.18722143185899,42.25527994335556,39.32108163799637,36.259581969343074,34.03977476118287,32.850075818655675,30.262336233852096,34.86430156051779,33.01821224930704,36.275326132781124,36.73602459533653,32.29772293498939,31.671777034880254,29.862461954524594,31.11104869310966,35.688854090987924,36.033935148619385,38.848773645660074,38.25338901708603,40.53479896910112,45.7122859203249,48.357284188913745,50.21901108648806,45.387411299842334,45.97197778374932,50.08307639998585,47.946558136665516,44.187220168250114,48.305050944881664,51.556371707457096,51.353918435283916,53.50905392260969,55.03819632690629],[40.12696045490736,37.946332848721404,37.81678934558482,33.092007610512745,34.202433117927406,38.8550196655596,39.7066553469632,44.33660916797513,44.16005218581235,43.353964936719734,46.512000420921645,50.0354113882951,46.95872879447259,44.807818780817314,49.666617498793194,50.4848912881326,46.443099937551715,49.06875171298218,47.63746693410098,49.81627294899119,50.80673675701964,53.118170491434306,51.86384477724201,48.987708446974125,47.44112670012345,45.67288300404213,45.43196372275699,44.47972025009597,48.22761744819596,50.449733975130016,54.6248878516369,55.26718877894969,59.50610325872654,61.4809357860261,58.13256115104429,54.61102433509708,54.2607796147587,50.93466730333052,48.68991367118356,52.44056207408091,47.143060743847755,49.904465302987695,53.145299044118815,49.97032607707783,50.03530051150426,47.31136987415254,50.997360859439745,52.03446610743161,47.22392032576897,49.48715607165408,53.947971527993076,54.38379998069692,57.50437138720582,53.834613349831066,59.235677926121056,60.56956686320691,56.77985237364501,59.65796862967424,63.14299585274073,59.840019862336256,58.32498438922505,61.723317704714795,62.01836681737378,61.85337695486677,58.06956582450344,56.605336189831704,54.21375179490422,53.73099833334743,50.58303729634798,51.18527020438152,49.093924893016286,51.07130402785444,54.147744698882825,55.46041757714032,56.62818342652568,62.306854757618154,60.08501604528673,64.263927622013,62.19944754165101,61.48414529295714,60.679706242951056,58.12505179930651,57.97698709415295,56.05011219590216,52.199292799756726,53.30899396353011,54.76211222675887,58.19916921474726,57.04274547444521,62.34684742804875,60.04818199332254,63.25228961572796,61.21955048112492,60.558636341638575,56.2737980827599,57.63874842393598,53.575746070776525,56.51910835527653,54.734709389105035,57.485160686608246,56.67760452730663,55.63350009221734,55.14194993573755,52.723827800613485,52.2064056397852,48.29940196345972,50.02445440153638,46.76304487034443,44.00910964163342,46.55588531291039,42.983401971593324,42.60592919151783,41.73335795449378,39.44856737018915,40.93193259902016,38.0375993542773,40.625317180253184,37.527896691652685,42.045825021290995,44.281913758197355,41.61308746432712,40.79182392033719,36.050918769641946,36.39820697758153,37.110542137465536,35.655502984642396,38.18912585896424,38.211566745491425,39.478870038602935,43.23788495036999,39.17020538207417,43.04355674052028,41.81011600826975,45.813422808260746,40.138397969334044,38.89904838878962,33.925889370528594,33.724103712852205,32.228582552145205,35.49954965189792,33.396118709015,37.35904883238321,39.174362522816196,39.06280071439278,42.635797155174615,44.559293218057455,42.086597061192805,44.425688521334735,44.940068931722266,44.992719128259445,47.15477868354652,49.21191894597369,53.57246338170945,54.7845576564877,55.30558944344327,54.73344139437363,51.66708550594922,51.0508113846334,50.452283746552865,48.005255453441634,44.33267975147757,46.96736058330653,41.425072461167936,45.09176148583136,41.78761133784464,36.265368356401915,38.13616158107401,35.654012398509785,33.650861351016566,32.60626183987681,35.481426370289846,36.768819604309776,41.912906128516546,45.377941690723624,48.5080920753985,51.528980679485905,51.924673591268885,56.42674228809337,53.2698085464206,53.646587396521234,48.770968398145186,47.78318397694466,48.26791364713247,48.12949912721946,45.58656296768783,48.71783449849051,48.794845467103684,50.69690104927838,45.400757910767446,45.9698177198118,43.61387379045967,43.82984896273332,41.61547889841298,40.578862170468824,41.16967154516805,40.472749010915706,37.685133899662254,40.33041088627868,38.73539623750312,41.296193070896145,43.204070969364004,45.204311481664654,41.774850409033846,39.69602151452038,43.709945886631665,42.63697950173185,36.75764571357682,40.13301180570563,45.217889676326756,40.48689629651946,38.9762643982969,42.6361884159173,43.247840708369424,38.5357723627909,39.869096380069784,37.72712520082385,42.39501428458797,36.766417604252474,39.58509259888007,43.54233858170751,45.62125112113907,49.71797760279407,49.77955935595023,52.8604685001538,51.22167265577592,53.82794037216497,52.67215584453613,54.15342432632092,51.74344710770705,46.921016371574275,49.357742092455524,49.417188728941014,44.96604785218216,43.98447315927391,45.72487182767222,42.6192617246393,39.4061464075125,39.78833271236007,40.01887049677086,44.76873820295553,47.89055487581692,49.2060457837028,52.80529607966719,56.54913756535049,55.32255154419852,50.51766899376872,53.13367943339656,55.66284161887777,51.44642345547986,49.220562576997004,52.862233944111004,52.35719754935797,48.24729831597908,51.37858073241363,53.39793553589918,50.17204292096245,48.77178732235907,51.76079004891825,49.11526034838308,51.37081131804694,50.36042162659981,51.75142799261479,49.86174976080484,45.160439305651,46.94325773543783,46.30416514590074,43.375508197688276,41.404604669967256,44.66788800306463,41.86785554721598,37.6286058584247,38.75311413780885,40.88380203054363,37.66678988432601,34.51416882055984,31.963877218555474,30.88096805066435,27.90090106110641,32.273807647579105,30.2696714165018,33.73170255633141,34.00033338064695,29.46042474597992,29.19586357252669,27.61540771986245,29.23672507694742,33.85208486082948,34.19602586428254,37.34543479323613,36.601333026522234,38.43459260080528,43.80143397496787,46.29181951136785,48.17798957532072,43.25140815053201,43.547249374893816,47.60731825609082,45.601471986703956,41.578114623190906,45.51374866538244,48.79675077469397,48.68237483695988,50.950104809544754,52.557037602353134],[40.73690030548849,38.849701284579936,39.09763773828154,34.32100354401912,36.02979251237122,40.20276915803887,41.20169428904663,45.85748692631037,45.36400590998658,44.65655830709431,47.66654269339241,51.287566050671536,48.50302109758712,46.05454906394421,50.96930759798495,52.03209674110488,48.11278250486683,50.762335984911026,49.36060049994595,51.82993304814653,52.82002775767945,55.368709857416526,54.02995695317113,51.23510882601499,49.74995613723946,47.74702782533423,47.654823638418165,46.52560999138031,50.17807923993512,52.363211109551614,56.21243316672816,57.046622086692295,61.172160976652066,63.24090173467539,60.069355687518915,56.58367043629699,56.393840341575256,53.22682063978106,51.1598887824929,55.20251828666961,49.823067833641474,52.31145497443423,55.69754968686378,52.67621918990243,52.71553195709815,50.11815902261599,53.87146238283022,54.89803524938371,50.200233120042604,52.63496291598152,57.07069112380343,57.5616086765982,60.58060932276132,56.78783055055927,62.21013248429457,63.44959435091974,59.52989008007088,62.26538407191409,65.81176282634077,62.56202630183157,60.798432936501456,64.01133317484809,64.17620542291723,63.905211293713464,60.23822826358011,58.75838920699293,56.029400539672416,55.468962118515385,52.068037939615515,52.499984898674285,50.28167406358829,52.03711631885953,55.317650467087375,56.848123963455784,58.16333992657223,63.91227443141114,61.98226322780751,66.15941061611969,64.30358237257515,63.81099337470777,63.07843026253708,60.748140824762736,60.562177331982404,58.863071105493965,54.98852878702437,55.837112269447246,57.167976438081624,60.490631961118524,59.152458710538546,64.3022300075065,61.798284180872706,64.81016896855316,62.67311406457042,62.00052046253814,57.66855982891545,58.7938853102909,54.69576302016953,57.94063044106225,56.17995082408395,58.93808825274114,58.45948485528408,57.56658577064498,57.29703649867351,54.9891265731006,54.83384141693379,50.8146317275296,52.66675147656258,49.54504942609602,46.58826276949314,48.968140562521036,45.17965028494843,44.860592993459065,43.638470198805464,41.496847303215105,42.698674881044816,39.9042313392054,42.478083593269396,39.45401173575355,43.769742674836934,45.91579602913031,43.0651739047158,42.20019027854776,37.55893975866364,37.97418370093159,38.66516932737223,37.69189747855077,40.140416954661696,40.540100563420424,41.99522514558144,45.96035510162789,42.06328109347619,46.069787966977856,44.99108239587697,48.837539700547616,43.15460520878004,41.64568337991398,36.71473265112308,36.339873690276846,34.640141493413125,37.961701035826614,35.82730069959122,39.92196946574034,41.46286872074245,41.398324427929026,45.08415453070714,46.80436060328345,44.27660578676461,46.4853481650896,47.063339876100045,46.81645026728129,49.03839656924578,50.75086328278489,55.2104717009139,56.028403657911724,56.60750460804825,56.32915555582864,53.33919318439362,52.968849179962874,52.419264514104704,50.266245246311385,46.80161385206474,49.36519058381524,43.97919450448317,47.80032826132202,44.771961527915124,39.314170384364836,41.38481925440598,39.09697138796793,37.05107608956184,35.756017269811046,38.58053973410124,39.62767069153733,44.81599800750652,48.17727954679352,51.1687574861132,54.10059668301993,54.24619389729467,58.929623029387365,55.94515247178357,56.42960168602056,51.70685539877599,50.572057442421865,51.37332199067494,51.40357444467464,48.782476452794356,51.88116347873761,51.77427581527328,53.892269015010285,48.53979674422188,49.33485116702109,47.10404642598077,47.22613392904991,45.10898161502866,44.010518956516684,44.59545233097407,43.90303633034695,40.898677286551,43.45449732198615,41.631785834954336,43.98977921725951,45.831862993412,47.61913121466538,44.12510648638066,42.051531437820685,45.93325267315827,44.61573958119641,38.71556975208839,42.066778448244534,46.97712900773779,41.99454945578559,40.419983179846554,43.98919983839153,44.423745426852896,39.52484660575938,40.84529309321842,38.9634492406702,43.60024388265583,38.36747211475013,41.3556374377479,45.21584094873266,47.58204981075797,51.47454279862771,51.88433641238445,55.08765693162273,53.629958204303634,56.3898218202726,55.30634460899445,56.98762215457648,54.4781949121218,49.62453447547597,52.258505734057536,52.44537273488652,47.89882700832722,46.978903868570605,48.934427162710925,45.808972719482504,42.457319431355586,43.03575437054373,42.92118323351904,47.72746926873469,50.825452557059705,51.87299136911286,55.466411802063895,59.04936914991942,57.812976373162726,53.01589445134583,55.407185099148656,57.84092983391636,53.602431280847384,51.286647525870166,54.71362611458378,54.05605982388222,49.92181347447915,53.07595356279501,54.886575021972305,51.452825049505925,50.16140731755364,53.21771934394385,50.74863700351745,53.24913852016316,52.46044404114216,53.995331654263545,51.84674134854502,47.16882933935271,49.28840323769299,48.56037310749868,45.48816023813935,43.818980326982185,47.22243429103055,44.191916705435204,39.967468667915064,41.46324886282001,43.562235979717606,40.10684736928219,36.96013127610969,34.19060772863772,33.10747632580808,29.846581793520013,33.90704538453599,31.81584769610303,35.476790221019336,35.46185473459397,30.87914058655771,31.0490652138683,29.752171944714174,31.682642883071427,36.27816448596371,36.52084911557839,39.904781773672454,38.90411864569953,40.390397075031544,45.877500183752375,48.26960343094393,50.056999857935466,45.03537347372135,45.147707618084205,49.080484183590386,47.04563587757311,42.84556312659554,46.639279968684654,49.85202984142478,49.73595822210032,52.09922998633034,53.74810310911356],[37.066426202114194,35.36895266536723,35.90027021293651,30.902074917053152,33.10645158912329,36.73628573273213,37.80541733695589,42.454200389069996,41.67580581587936,41.08724439362547,43.9767826172977,47.63469218276803,45.164251900457074,42.51654142811625,47.495411144398794,48.75719069752123,45.03732708430338,47.82960225135715,46.68915021817905,49.38624672358136,50.57761113735071,53.42335156026097,52.178002268778535,49.590685360174476,47.95835456536636,45.60414561547281,45.4676474007902,43.99855335345317,47.44442542402414,49.46433457064593,53.06029187251455,53.947692681673125,57.961247985489344,60.203570778485755,57.20782334457343,53.84662683600054,53.71743067393739,50.89203821062612,49.0636866186838,53.51330187252056,48.189352427378275,50.376150652190475,53.99301142778689,51.26584734958273,51.51067609121904,49.208611462688914,53.11208884075679,53.843247796533625,49.257152643693615,52.096967668466725,56.32961886211718,56.800194869604596,59.60389444585914,55.500936338540086,60.87270608146161,62.146284050218874,58.069622222794585,60.476338648326724,64.1894836502184,61.19776144992621,59.112092456287,62.05066614135091,61.94525861439086,61.77012149927335,58.248622134164485,56.553048106335375,53.56537372988906,52.744505164946084,49.20214677607333,49.32508848956037,47.10222909972658,48.78208278418407,52.116821364662954,53.956758699369026,55.201253363372174,61.07149313020287,59.38570703848518,63.471176716685136,61.81370334236748,61.60847027591602,60.81383300716821,58.77560357475931,58.409550239181,57.04464584574139,53.19927035702215,53.67769563925501,54.97017139281003,58.033887710241125,56.63608455608099,61.541737192050924,58.89165327746014,61.77365089377076,59.46243356486777,58.679459929590685,54.27748361258891,55.19642669330248,51.04923847704566,54.47408949549766,52.691802091238365,55.41022084367349,55.269628793477146,54.50768394949955,54.50449014088401,52.3190367188086,52.637741454295764,48.496413577429,50.55358675506221,47.68350130287487,44.49707899724796,46.585754506598704,42.545845046256375,42.2412883981112,40.624849168993386,38.676058112632035,39.626863424328846,37.02454837469821,39.67687531319309,36.90035160699621,41.178162477064994,43.01238883558203,39.988041219782865,38.94574587598477,34.422323211830076,34.77228025341713,35.35673013858317,34.885870127019736,37.22735589485936,38.05688517222158,39.77663205977103,43.976940208807385,40.42675129030166,44.64712213959036,43.77984001699073,47.30208636725698,41.64137973773081,39.71745278211229,34.91222630962468,34.29262466521359,32.3994953428956,35.813715571009844,33.9157217061778,38.31390062081142,39.40102121659978,39.20800138747879,43.02372446863766,44.37225858009026,41.736352125890534,43.69692862993608,44.28860212048608,43.699949928868186,45.97261836411278,47.33334208470147,51.88373582043656,52.360499479316076,52.955731370602734,52.936183123187796,50.03643903537487,49.91314944079888,49.44086327310061,47.618163542366055,44.46653834744116,47.00299078169421,41.89128923960353,45.94241756672189,43.34624695542893,38.086595477183025,40.38341081440434,38.56203426834795,36.349104897355964,34.604223109613216,37.27078139185338,37.94244556539869,43.15914447003075,46.325630513407546,49.102403734434425,51.85798701740932,51.707359948697125,56.58529185927342,53.891666238469405,54.487962838152534,50.05400566170111,48.640273600978716,49.95809083234993,50.31340785255521,47.58200717016033,50.710009022770016,50.38859379804307,52.92692057365918,47.65747092882966,48.732673525460655,46.7219230310003,46.52929507052563,44.55435642939564,43.29467318657666,43.88110497314017,43.29272122009109,39.88626559807282,42.36891008298437,40.31368415914588,42.23561521100248,44.20735609067873,45.58271731306003,41.94603631854046,40.141961826449716,43.927239937589576,42.178565385955004,36.39122914572508,39.9198874081637,44.527044843495304,39.2141605690906,37.80660919470462,41.37893030401291,41.419653242732615,36.46784552403914,38.08802646312602,36.49233902684362,41.24953859898319,36.68651977385147,39.5283965054126,43.37743645742065,46.20096111355683,49.98302817699344,50.778750240759564,53.82571625995582,52.373430745493934,55.18071547768072,53.92333764343817,55.99820261330129,53.601997808395815,48.48012093283899,51.23677288985121,51.88391362822464,47.26193121954587,46.15625078652068,48.39103966878395,45.6109881765218,41.98539298789149,42.4306039455963,41.82186513257351,46.433639481687464,49.58873960263593,50.32911041385519,53.772322325167465,57.213192151268714,55.77824957370227,51.05706753423161,53.33512158845806,55.506756100134005,51.16623518367315,48.93482865569052,52.14769332045289,51.25911861083221,47.19507414559333,50.55060547646745,52.108441324441586,48.435478616376635,47.466617353077325,50.70106917728643,48.451911793369554,51.14882588965769,50.428689625564665,52.29908849066855,50.07457290867042,45.22711117948026,47.713851794912905,47.197216225360656,43.963376270734116,42.41615159544019,46.282571570784704,43.29442016716216,38.804975561830545,40.62551104755812,43.12118675853569,39.612789515658704,36.24241134756591,32.970144503078444,32.49825076001865,28.738355386062015,32.49861214685437,29.819002949543716,33.37117139665399,32.764094243190826,28.322535837093024,28.876081518800664,28.1367490431447,30.164916529895926,34.661587229992854,34.412522643940825,37.988537613846475,36.51923581993016,37.7168182668407,43.247328784013376,45.61739416842226,47.163168124603025,42.055529941665036,42.15522102868576,45.90163866701254,43.68627284096802,39.45336897017265,43.254627015534616,46.302059949998,46.09186738154894,48.4893267843095,50.15371325085165],[39.05861716801152,37.560403742581144,38.26221710498707,33.87084765758122,36.37329713934124,40.05479595703373,41.506705577273976,46.14292622381178,45.5359274671238,45.2910698150845,48.21850396045973,51.75611938846114,49.528412040562884,46.97857706911533,52.02983126931722,53.29865396458827,49.698775841299174,52.63697774176466,51.64872789202206,54.29395531119766,55.56898259921629,58.380730140601756,57.187477964805254,54.583308586720136,52.9085538251785,50.58660485642447,50.33804994123115,48.805375628550024,52.18098143246734,54.04527143427101,57.75224430081069,58.441344066146684,62.468566434640834,64.8607221285446,61.8477963788834,58.57853048504957,58.27899769655677,55.60763057827985,53.73852322632457,58.105236638477585,52.90382041312251,55.226528304998766,58.818653348097705,56.03923496256625,56.33145791527029,53.95680055025828,57.81635789758189,58.554234552188284,53.87613415813685,56.59335300130545,60.846758815475006,61.23491104928538,64.12201087492559,60.05677937533978,65.37761745939565,66.79990660212695,62.7950693222862,65.22280877624252,68.95600305632769,65.98068336702602,64.00788241941476,66.99290330637625,66.87408479178815,66.78349548969801,63.24199298220753,61.4906038530337,58.57390007872077,57.67723944453499,54.172562729384246,54.18682995458032,52.00642344593634,53.69079419903877,57.01549136801993,58.94819609685149,60.105136460646754,66.01498837139333,64.30545717746318,68.33994111925706,66.64561479273061,66.42040462037117,65.48692934441824,63.371526173126796,62.840265948851105,61.39813621308761,57.633668557724235,58.2066078215962,59.67249318473641,62.645508866874174,61.429374106864714,66.29185267783909,63.69971525013051,66.61739574355605,64.22301537111561,63.321493121834564,58.85832035489255,59.72108194595777,55.51574649694368,58.859570058183735,56.924136390850045,59.37595596786475,59.48415342011912,58.43196744041114,58.6676166977476,56.195600790778556,56.475303873710295,52.19328825332762,53.973864841090695,50.97020888154355,47.66542758958923,49.947402479959756,45.96332520552286,46.06651325234747,44.54835720358707,42.86404467879334,44.06137768640005,41.608001647941336,44.41625153674043,41.763333626205664,46.16443278848381,47.87761664649428,44.8348658629275,43.64487896716606,39.131355892396705,39.2669828663856,39.56294742397054,39.02330720584637,40.880045539017274,41.79559322362832,43.273342103245106,47.56651147897628,43.72330127899324,47.80477032593422,47.18713923875382,50.87884658737169,45.34538814572236,43.63259991367603,38.556502048301,38.38881347134452,36.77985614824229,40.31534967682227,38.66840084956742,43.10439084597634,44.25196348909582,43.92223260209266,47.72403883952045,49.01386949249938,46.30281374204639,48.101910508787896,48.472263817564816,47.75296316831237,49.738638269790094,51.06639447646287,55.44894215467668,55.76081331286885,56.67232151044024,56.782060113152106,54.06526411538914,53.818847704761374,53.636070804051876,51.615737720028484,48.65748625289511,51.45149839792651,46.35497988245843,50.4151108239511,47.66121563076071,42.397473841376886,44.388740431173495,42.4484926411183,40.03935756438452,38.59455594602926,41.18074648871299,42.11115060055274,47.329421493983624,50.515084033614066,53.36763206611465,56.019547385117,56.03293113498505,60.81702826906884,58.19951710590976,58.62329845808961,54.20889092699359,52.57150836816343,53.765823565492795,54.08564140095617,51.521483824180706,54.90414589760836,54.81576952330639,57.242406715872576,52.09148096796855,52.88842581335199,50.69611888446808,50.48587140779788,48.222718682024464,46.816924710467035,47.16959758817348,46.24625369913861,42.9030070232775,45.11774615745607,42.82372958715776,44.985856679144874,46.47165342978737,48.051035956777426,44.606860843401265,42.31748914336839,45.900424808474845,44.41237486946949,38.48851610948642,41.58885614306811,46.273135880305524,41.13450388874481,39.34063745893795,42.68122090884968,43.06751998901503,37.96870824917408,39.04737550830604,37.474328939692676,41.92770740515808,37.18537423877059,40.439104621875686,44.08363050994199,46.76935996635091,50.32676770752232,51.21497597280615,54.62421324448753,53.50955180167093,56.52887095788219,55.68518813561641,57.61843659562247,54.87883845405467,50.10270709682999,53.102336430951354,53.401888486567586,48.71148881843123,48.01274470203709,50.364714739811895,47.10119700691984,43.54904697586021,44.67823329846696,43.93437617467043,48.97880962255733,51.91164711359082,52.46810732815773,56.12607822340723,59.371600351804105,58.31178010366117,53.514540502348105,55.41049112421897,57.82479350074975,53.69688352592058,51.098352986814746,54.19087327488976,53.42543795591155,49.22554217446867,52.222159379804324,53.79587453738115,50.20104478926205,48.882887787291416,51.915095696907855,49.665475521589634,52.48095990489521,52.0937006582335,53.72201267792336,51.142270735269264,46.638872807192435,49.212474757894334,48.24144285700216,45.001525504350596,43.88097115906734,47.356999979850876,43.94005477828372,39.8639124203008,41.95249811032638,43.88514169007533,40.064859596375115,37.003377499305046,34.016384074431436,32.850341903329465,29.28659685895985,32.805329263535775,30.802982570682254,34.76063386466664,34.5962709158682,29.973552539342815,30.71092764788488,29.69254866294057,32.13756944639109,36.62331280684946,37.03743641022861,40.78015515223318,39.71517534850395,40.508916003473175,46.15398127113059,48.24094724178947,50.09870913049063,45.04699521627783,44.66023684644389,48.46286970872174,46.73590217838651,42.174813645719276,45.538145308631584,48.78155277420087,48.846570900419586,51.36308240020695,53.11758747270564],[39.57870021317163,37.74877370909635,38.026586164246865,33.8675724977258,35.745344733946574,40.09677654030328,41.49778867556187,46.13778432232515,45.972014694389046,45.68983937981136,48.8291139269097,52.24378680152404,49.69644742616201,47.51056115081881,52.540036186336366,53.52030623965076,49.767544459375976,52.70720484411666,51.67319859206883,53.97201087649804,55.234698774472456,57.74283156920173,56.628358823747355,53.89057239335689,52.16727181502175,50.152757970828475,49.728653472513216,48.417016744095235,51.924822841585474,53.82345870102898,57.96795685279381,58.391721598261874,62.57934383743225,64.88613197086974,61.63798843874538,58.32166905873933,57.79266392168642,54.926942766565986,52.81224986234513,56.78417733874112,51.68580975677012,54.389920636255475,57.78868953766044,54.775281823374655,55.07062771689087,52.48758703353813,56.24027009296046,57.04632566883799,52.20042473569284,54.63340147503774,58.957543981752316,59.260688385889665,62.32023983948465,58.451897596614444,63.7484553092662,65.30858463360002,61.48820114172312,64.13619192170667,67.78081077041048,64.70060165680842,63.07914530336683,66.32848367694177,66.395499389101,66.41850628676485,62.71656385978088,61.0049909632579,58.49972337953336,57.71310425271986,54.49394614646624,54.72062723901622,52.671775541844504,54.609518649904075,57.726599542474894,59.40083087572061,60.402296758251666,66.24205428496188,64.1677886041698,68.2192367587017,66.25150726164473,65.7305982397506,64.6911776754106,62.257818716790524,61.749570168316566,59.97844242883447,56.254235657857095,57.19794598556,58.85283211128179,61.97610701162935,61.01144909586784,66.08507238581225,63.74711570535593,66.91102493948615,64.6327064631323,63.73206782495577,59.29990987708849,60.446983278069254,56.25443562628555,59.2350984314775,57.22862522711574,59.61661761883492,59.37402853957721,58.04611810663904,58.06387514094037,55.35555930095999,55.14919382354965,50.950572987520395,52.47273968136336,49.21977980354359,46.12146734760925,48.71000288634006,45.0017936269956,45.17008273282562,44.11673064857077,42.31378434214237,43.9311041276515,41.364909195394716,44.23456615996544,41.48006582511822,46.15214197713868,47.995368331279195,45.147949610086464,43.99044369398186,39.318290094272854,39.33988703208594,39.600810122783685,38.44216572906939,40.27362113532692,40.74465876743965,41.90822728177419,45.99282838158144,41.7957347661067,45.66451165839552,44.93426760618928,48.9125737117676,43.41485162415356,42.11732132664678,36.86579621799424,37.06546259368309,35.77734174208567,39.30475599545263,37.719562718436805,42.002156248329314,43.52389692359788,43.12821934748068,46.803012818171254,48.355957168311335,45.687272822663466,47.628687615843816,47.8654783313063,47.48423608315685,49.32217533632688,51.08632651456326,55.31597505777419,56.08186249262318,57.02023517709665,56.79629223776347,54.0197534940587,53.42430124327192,53.25906494226848,50.796498531106764,47.611656584396314,50.57288929807694,45.253144889593486,49.128998622956814,45.9607338434486,40.591698685768016,42.24219618176984,39.99119973173467,37.578338928582816,36.55892369549845,39.19647018689959,40.5210387185345,45.70310619485399,49.0432108456749,52.109876916862596,54.86169006012145,55.24493821979609,59.78456835663447,56.94838186029485,57.18366435351802,52.55570335265929,51.0457791379852,51.777171454287256,51.85219762535582,49.44459644105312,52.94363387033722,53.159395715288795,55.25437971530167,50.18317245195775,50.60708928760268,48.19034730232107,48.1190827228239,45.63233617405244,44.264017926272125,44.53642865203071,43.465890858210805,40.431257682529505,42.66029469453209,40.55183985596319,43.103084237789645,44.471379168854135,46.437883222254236,43.139454541868936,40.61391236294457,44.31102702384982,43.256394597843915,37.24650604532718,40.21758858293912,45.21393422886424,40.44678993835144,38.55229609891743,41.945974499092245,42.72938372270845,37.76770371501789,38.63885415371233,36.6974073683209,41.098982821120664,35.65358226591833,38.91785347306681,42.631525566908564,44.862505202058124,48.6134058859787,49.06253690678946,52.51176006200129,51.308129387921305,54.23338356482483,53.48765131845688,55.0791869528739,52.29559494484079,47.71373896780062,50.572592274242076,50.51989043036883,45.906534862225506,45.32435046378664,47.44498315477932,43.948378516150036,40.60820378469009,41.81972451129331,41.475836321440326,46.6711489628829,49.546775234709784,50.38842141408517,54.16786852535765,57.56200444559799,56.675164992737784,51.81309787968532,53.85645284426501,56.51687424323671,52.48820781781483,49.84075564713619,53.18890387440342,52.67742245533698,48.42620671091855,51.25484531560667,53.128629323786726,49.826234316835105,48.19896668919082,51.06819478118759,48.55958594245886,51.11089056812757,50.57168509127929,51.89491834278999,49.48771505613515,45.08754682382072,47.25534139891818,46.17575683664587,43.10800149202571,41.77299714924018,44.881235556344556,41.53458996818721,37.61752812969969,39.349968430072686,41.03944573996087,37.34722922899497,34.417731203719796,31.850976900951657,30.283623909094736,27.164738503056274,31.06197633757336,29.49513324156354,33.43701202080516,33.85572452847951,29.135880335065732,29.386419653618447,27.838514415972785,30.113699752689232,34.67428052405913,35.52496481804208,39.06387548474601,38.486819331156234,39.58095790502985,45.15926524316909,47.277252785388214,49.39983226009903,44.45717987779364,44.120810941953884,48.14284561998391,46.62037088996694,42.132380585024,45.54753459440891,48.98001796043166,49.143743413613386,51.60065985083838,53.33912888572183],[33.69254951548031,31.72580517012102,31.92426633838305,27.56983995592598,29.45368571881583,33.76039009046602,35.17236389826291,39.810677323448445,39.71050072471599,39.54331653478996,42.740046250913835,46.06508394988468,43.61096294144863,41.55588707489554,46.63526671427929,47.576589615716834,43.95699756430163,47.105723104584264,46.42693853014759,48.666925923943786,50.22693934109035,52.845303431710775,51.97228378202484,49.42120484793902,47.40865513471299,45.201805300855355,44.50482116924598,42.92170578829109,46.25410176596696,47.93957865852422,52.18588049935826,52.39755872304061,56.589496540027824,59.04918349466736,55.81034119058216,52.63197831559624,51.94780426537608,49.38435913510453,47.3695203230901,51.546126856330616,46.6431791731693,49.29165539313499,52.83051975999307,50.029296634875216,50.65239927265192,48.31497426306772,52.18796796253728,52.59575337555448,47.74881136565459,50.5255805363306,54.60236463767341,54.79245023833252,57.69165525596683,53.54018341512643,58.73782191206055,60.48759413321985,56.613945508208516,58.98448046037857,62.791136379414716,60.00363241702898,58.25469952217908,61.35985377365684,61.21233097223014,61.51486540060647,57.86764580561608,55.86741026371465,53.43844834080284,52.3761880111761,49.28561727860222,49.285441375705076,47.39922402120315,49.51851009862041,52.44923998850603,54.28689543308416,54.99253162693628,60.92105139785353,58.811263445691175,62.73308864916559,60.76932167404179,60.36690778651682,59.12419162433589,56.80214780657447,56.05601366402566,54.45696021847801,50.80832642629452,51.573087337819004,53.36451236917908,56.25847967870554,55.47187520963685,60.40152508882887,58.12839285755025,61.366806997589485,58.96635023438749,57.90592944180003,53.41707098424561,54.58169145048329,50.34797847297573,53.17389004395627,51.069341375468724,53.34901517890894,53.19659347781455,51.79185779823001,51.94808067297153,49.20139343444472,49.20234146014908,44.91526558065099,46.5302426112419,43.41169705970345,40.181578453001464,42.62687000333773,38.80867640435144,39.0173499985907,37.87020920433126,36.2074145103675,37.914722695928695,35.515378873681755,38.57228690081047,36.09511490451867,41.01528440709618,42.51525436636769,39.65082202843493,38.26177321874718,33.60521971956643,33.379583049469964,33.43622650370674,32.32198802219337,33.99997157667571,34.62697304621308,35.88817707167117,40.116625795752526,36.109462130479,40.13964212688563,39.57551633944407,43.33464801086785,37.86595794545921,36.33325194665107,31.091706622695124,31.2768146626873,30.039171394272024,33.70165455703655,32.568701162223284,37.14333398783827,38.37641873554718,37.700747916086584,41.42849330416435,42.70049969771683,39.918317227815514,41.64368697323724,41.765933164296186,41.2571097956053,43.035806792428694,44.76464729715838,48.98556504099767,49.77031027968333,50.71803903625423,50.49259710394716,47.764928576031586,47.16661854254667,47.108667970768046,44.67546960176615,41.69705096340017,44.78538568233132,39.640957376070816,43.67232043364169,40.73779394117409,35.56016988449616,37.23148616074437,35.401628712743594,32.729966286129766,31.40899496914889,33.86832343259402,35.01011225536544,40.2084317501013,43.416576079236506,46.37930376237371,48.98228727489782,49.29769936791652,53.88149458720749,51.24588196607858,51.471952093329165,47.055021732242466,45.27120128817171,46.33607213040921,46.67053116134349,44.22166632075784,47.868106940747275,48.046534472549915,50.46652792838896,45.597108939750846,46.09461819509545,43.81295447292678,43.38636263444308,40.9241746856125,39.35436202388021,39.590218145166745,38.59581583650107,35.204610449230785,37.4045881862098,35.159738850671154,37.39579699456822,38.968438224482654,40.65949802046268,37.228481857771264,34.9662718775473,38.71265053865242,37.375176926435486,31.428686913091628,34.67717328553785,39.55092482488165,34.59501807113431,32.9307568676608,36.47650062574615,36.997604395305515,32.10845767578839,33.36405889771501,31.445411201257855,36.10753508216468,30.995071823916103,33.93377287940352,37.79400063603397,40.33923871834321,44.21158549385958,44.79268600022759,47.93389988518144,46.53547591947583,49.39010486214144,48.3476821831624,50.257783766969546,47.698695496097635,42.76255886796458,45.61761455309208,46.04058976839659,41.38309023098412,40.4995414752749,42.81005310262462,39.75849343656919,36.14687288991133,37.03923244226323,36.34618572522851,41.314398591141114,44.29305034409065,44.997399175431774,48.63229046334276,52.022356644746836,50.91145141273884,46.09597600126009,48.22232721479201,50.6869438463494,46.53867061445232,44.04289534514385,47.37819707863194,46.74975398493002,42.562595755144464,45.62838129452915,47.43625563896704,44.04574221886357,42.663627767869386,45.703025697671244,43.25156148942888,45.81201107935739,45.12528086001165,46.7324013225121,44.47578540269388,39.788200561396856,42.10159748047535,41.37467459439602,38.210345390405685,36.70779900734452,40.31784935478798,37.23156459826661,32.88673894964723,34.70642398342033,36.98641891204673,33.42915409125683,30.133896438551872,27.051691189108027,26.312910135257496,22.708187380596694,26.646544537530936,24.337458118641766,28.01973881092298,28.033044226435887,23.41017896726187,23.682704067027853,22.50669381976776,24.680902041196685,29.223770307506584,29.61661404383554,33.23841233621088,32.381468459582834,33.43715307840624,39.023625614327486,41.21030321152841,43.1982753598492,38.211012837557185,38.001132962678874,41.98889269388667,40.32398437062827,35.90737440211967,39.48819788116953,42.8559989188586,42.94094480298036,45.368694773320776,47.110668434295846],[33.72584051978405,32.20097054546132,32.92057324792327,28.730455861266798,31.42449381092366,35.064059078951644,36.758287369085544,41.36815371200453,40.95317377993441,41.03973806174006,44.057519394729034,47.4147183296401,45.41950828632439,43.09151496813874,48.23340024296804,49.444839546754416,46.056270735918304,49.29859058818424,48.77726633309997,51.299805503890255,52.93708110261521,55.81691381340107,54.918293895099545,52.4933925246086,50.48873131365086,48.01002596889957,47.39665023738746,45.558856016073406,48.7068603474512,50.250462954478905,54.15605255542784,54.47811267758622,58.523653039138765,61.16048469324756,58.132669644074284,55.06771961717459,54.48577117853445,52.22093249049179,50.42217110770602,54.91159519605044,50.01332098192106,52.37808423811441,56.08048596886474,53.48035400958763,54.1447098505797,51.972481878287326,55.914605938157024,56.242190396800105,51.510828962578884,54.4812757494142,58.48422031010242,58.69320536037305,61.467421321538154,57.15632434822515,62.32487872989681,64.04292239827426,60.053167538084885,62.2122377899556,66.11186067467972,63.45264049990465,61.449182709322365,64.3292671574314,63.989926678532306,64.25880132325841,60.753921054372725,58.66603809139894,55.91221922705441,54.68648009283853,51.368615025456506,51.09332188033123,49.12420767924633,51.02791783457683,54.12834137858633,56.26898670379847,57.0403082960001,63.05869920583051,61.26435508688547,65.12709543218534,63.39136625958126,63.25410187937818,62.01423278345505,59.95060187649722,59.07281987254507,57.74424842004824,54.12623255663347,54.59125704980004,56.313469917731545,58.99323615527179,58.09747019334109,62.790358608138824,60.32774279764999,63.36743622600089,60.80267669462135,59.658506905254335,55.103258740012635,55.974003400123586,51.69043619188089,54.78929459130773,52.65303632892129,54.819504392607875,55.14989337702816,53.82533004329118,54.336957289265854,51.64442883556811,52.091288831173635,47.6561299517069,49.34074698490645,46.40308138430448,42.91950850501898,45.16738861276728,41.13580126669664,41.5332517858889,39.997387272085234,38.62577110673465,40.07156264000132,37.88848710332367,40.975424758555604,38.6920482281887,43.42911458559882,44.71330983140395,41.655648261107544,40.135608895696755,35.6486553542084,35.39473844515635,35.301071959112434,34.76524931107388,36.15318593499102,37.27218107901761,38.686679212724265,43.1462790673831,39.34155412318364,43.459493175030815,43.16487146316156,46.718206418816955,41.33715190533376,39.5383759685495,34.35796149654663,34.44957816818729,33.0774409489008,36.79254984462772,35.76612126822865,40.495725713872645,41.39252383089599,40.69141403544934,44.51670825593931,45.486770061917184,42.625013985653005,44.10028680554091,44.20964938458529,43.2923024088718,45.02731358089979,46.31179491938519,50.56352225242719,50.82079202645457,51.93874965249916,52.10309497761203,49.5520590288699,49.20894340219139,49.31676608377792,47.19425918289352,44.575125435810904,47.649374959257926,42.75884956765951,46.95597895337154,44.34393532439157,39.30590329859176,41.108481213354736,39.52596397414353,36.766471123124525,35.2244469648199,37.55793796594754,38.45812924381145,43.65316828511208,46.70036712075817,49.48615228514145,51.91356932114971,51.97608875734875,56.7183289486124,54.352819696363994,54.648553561449766,50.47377394053703,48.43255805032975,49.86609199672502,50.41746693647132,47.9370012929158,51.61130105760467,51.64515139076241,54.30620502611986,49.46216001804528,50.14291967985307,47.97610427590072,47.40310337228979,44.996245093186005,43.31185452679261,43.478250523121915,42.430130596058106,38.81009359485946,40.80775158388755,38.25364064656277,40.2314602319108,41.607229298038725,43.0303875940099,39.599446374933926,37.29087409895687,40.77126174858917,39.17473139859569,33.27569801950138,36.36269001445083,40.94817493942999,35.75722991253597,33.966404848775355,37.30523510272796,37.64470573366553,32.54512427283587,33.68017289172669,32.14205574491004,36.66150260303805,32.15179243600895,35.311856484915054,38.963118067165155,41.857664954611494,45.406293364705306,46.45216225583776,49.7507390370664,48.6430680954934,51.70043005448361,50.81373756485958,52.960191184886924,50.25316448481465,45.364278580582685,48.48449785525807,49.03681687562656,44.294628369835166,43.551660647407324,46.14160536404472,43.046314636832065,39.302743682440905,40.531226119919495,39.366716791499634,44.409102789101425,47.28455840999229,47.59433061679527,51.2205990716385,54.33502714410083,53.28727517707076,48.5120145449754,50.25612211740107,52.61908540991913,48.51938425455046,45.86193442454279,48.86597268095379,48.070017967148345,43.86537795780085,46.86914126712844,48.396085678352414,44.780676344826176,43.49215430709031,46.562977281586015,44.36440429417605,47.23915689546048,46.89774488505138,48.6485428718157,46.02653697909785,41.463984522563756,44.21193793654326,43.32329054280509,40.004518649014365,38.98070366040825,42.689588372137,39.29644913551924,35.07860969833603,37.39832229169403,39.55364399551505,35.70633578467005,32.504504904187634,29.21934570834306,28.446591499949438,24.56622323914953,27.92475651522616,25.619184789913824,29.539644140784176,29.23478684938989,24.637856024508114,25.53636725994299,24.751215655900918,27.332615069614423,31.723737065195337,32.08597591312878,35.97495935502806,34.88862171357714,35.38125411580856,41.06631074759063,43.03691899515748,44.947437712368504,39.91218958092193,39.35652880074506,43.150354683060215,41.58983897467597,36.91766534983328,40.17400816758754,43.472382427155544,43.62746775189929,46.18445103512541,47.98873370424379],[36.26163803429479,34.72144809102617,35.307789385859515,31.86387311256942,34.36246034488367,38.42668226571017,40.3789688123304,44.94132537284092,44.93587567577409,45.25883595670639,48.413146348500575,51.58977473663686,49.59327301838764,47.561890662664155,52.72102802986997,53.762141484932876,50.376725849421824,53.707685323887524,53.250101933949935,55.530805121090616,57.20407115925488,59.872376299661546,59.04462846945587,56.52076854245732,54.475176330253596,52.212990492442444,51.432538780266924,49.698301641473115,52.8744209659362,54.326929409557124,58.56318061091994,58.582242629114624,62.72340716821403,65.41356699669957,62.238383693679914,59.21717523119555,58.37379526806795,56.10459293845705,54.127999916520494,58.29832457550955,53.55914563918096,56.25036567268741,59.807778723249136,57.024426882979725,57.71076813717112,55.35346764753788,59.19134031104147,59.5786846812475,54.685432577586816,57.3772195638807,61.44004036592789,61.5356571115624,64.47643321113685,60.330433995790415,65.43935801659148,67.34741949318585,63.53062485080518,65.84476740003204,69.6964076019234,66.97990978293466,65.27918664614405,68.35450917637931,68.12426303611538,68.51271287001828,64.89721377484587,62.80523972138609,60.3445794657592,59.14417921754009,56.01647331223715,55.802517333546284,53.934420436823466,55.97587952599323,58.955131819408116,61.00097147470416,61.63083098540042,67.62810005243453,65.60242025746545,69.43709060828733,67.512548240595,67.17948346070027,65.77657977452178,63.46145811949573,62.47414170084273,60.884545548493925,57.36275954071674,58.130478260115595,60.092984759449855,62.794572165890095,62.18533190688848,66.96803411753727,64.7030290445508,67.9082824861955,65.3582652989263,64.1326757088942,59.56283145828622,60.55707675903937,56.250383880621676,59.06607642108261,56.77862449130482,58.68863631952061,59.00051808719119,57.27940907335774,57.84587324336383,54.78643507351604,54.894696946272276,50.417446157888186,51.69697073409524,48.50442049827695,45.07239017915193,47.663802830395454,43.88493651969803,44.65602925811059,43.50124108770546,42.26696208509689,44.141814029976565,42.00165250742035,45.212662877649564,42.9451576841,47.898092541117826,49.19476997287693,46.247786705655685,44.66422569564087,40.10921501201339,39.65554426646237,39.34399522745317,38.37870633358068,39.36456833881005,40.261077300668084,41.26613955170875,45.63671271608365,41.3888153701696,45.22152235996165,45.07287888717538,48.92765861550633,43.70834232978742,42.35446495614121,36.88892343381796,37.563793028789874,36.608165418276286,40.375974646821305,39.54211126942276,44.177054047006386,45.35332145933132,44.533692532312585,48.257483671108325,49.35191986646194,46.47601411329809,47.91938755961086,47.77930039989846,46.976209003247874,48.3804488653337,49.901327043909696,53.89473078448518,54.29244012295598,55.68464380612328,55.74854910391942,53.32004747418445,52.66450858392426,53.01236797025182,50.469361654757115,47.8737670206912,51.23257579170802,46.23115894764381,50.301523913388785,47.319450528513386,42.2291758965017,43.58058141295633,41.71501603219615,38.82049647713448,37.79325318194796,40.08362668974826,41.42663391481984,46.57211543997085,49.718017136864,52.68593128323645,55.08561117781401,55.50721694753979,60.00624709598655,57.57244588629568,57.61322100459933,53.33453421557148,51.204019129043466,52.238661327048796,52.60480977536107,50.36974224955942,54.303700591565715,54.70701702790324,57.06505964873843,52.36709255521554,52.60282803643485,50.16125537750208,49.66721297596743,46.900379998309894,45.128507847931886,45.04565093528725,43.622923710116474,40.278131396996606,42.03158241736257,39.39830144734086,41.821212674090674,42.66865552504647,44.51459610494614,41.37941910788482,38.496827586490284,41.83055430879228,40.77049200382559,34.75383000961344,37.31670169308269,42.13583147858591,37.40459811088284,35.203304367087284,38.31745774833443,39.24596727618755,34.16284252754742,34.61843033934319,32.87229297742184,37.00808128246505,31.888512025615213,35.43956311723176,38.9045262099776,41.34788876361962,44.7835367673144,45.63370855053737,49.297282368007586,48.466145100404106,51.65313840068132,51.222570654213655,53.01372636250974,49.96587717563671,45.55264994839459,48.79820870789526,48.80330053308104,44.06766314133906,43.78796741034985,46.332287090277795,42.65704135729403,39.13643842461199,41.05261517867385,40.01790516763239,45.51550455257578,48.13255849345444,48.448799194727215,52.3290850566077,55.3412329261335,54.75185210537147,49.89212756580489,51.368479863100035,54.098576616818534,50.27898401580916,47.27237340286933,50.30907034591541,49.795303611038484,45.462972157698815,48.00164993984254,49.72780914325172,46.40212173187952,44.59217123196816,47.34350964063364,44.98883972741746,47.787755553700805,47.666354082574735,48.98184300517284,46.14463979543279,42.010284536605155,44.561038536270665,43.17076414586253,39.97762151041639,39.239299426459056,42.31287386500718,38.5609198085002,34.88467193956807,37.225337692589406,38.66356654184863,34.60496386636413,31.822257808812083,29.12778281483245,27.39706966807408,24.057895916150322,27.36529882159356,26.08699221196552,30.33834587985113,30.85600107933053,26.10966033532303,26.838051913836917,25.44527122185783,28.27227609784483,32.63502958302095,33.886997457122725,37.74774566361555,37.33880888151933,37.66939172921104,43.35477167782041,45.07731149888158,47.417662221387886,42.54432716783774,41.5974853588401,45.547544108203276,44.55889543073556,39.69704775785179,42.56262146786696,46.12674545036653,46.586187544378504,49.18718186896077,51.03962477211739],[33.47439001517914,31.591850671392713,31.78708835835796,28.433956881966857,30.430141992662307,34.96406210395171,36.866755767780326,41.4048778282,41.7596008802775,42.10268169943869,45.42037938376205,48.44920412789276,46.269767563973964,44.57931364646243,49.71479093128415,50.52306269703232,47.11235970749848,50.52845914887036,50.22059924742651,52.21510443113586,54.022339908629924,56.52321139024916,55.880881147413824,53.37519427201947,51.15815897303736,49.02344516586003,47.983354488504744,46.27455206395275,49.43366002392496,50.794467142388164,55.373310924760375,55.10036273373357,59.34271331404143,62.03437963400745,58.707520306322685,55.73375156375726,54.65367055776573,52.411090606452184,50.323798905677684,54.3036869431815,49.76485596359728,52.67763120970393,56.155177418924985,53.33654159283125,54.19510012766398,51.83944226321254,55.64563234562514,55.86624289438304,50.881957237650084,53.54818793477175,57.50590998584063,57.48362065212398,60.446886271781054,56.30038713287997,61.320401169486225,63.41803742844855,59.71403806704982,62.02667843108771,65.88788821405527,63.2623684175435,61.74210535873087,64.91257930763649,64.70238991772868,65.30973788100557,61.62687563414167,59.42445298117948,57.30001879211032,56.04371388183812,53.19809086956193,53.02200356971395,51.337043219319476,53.63513150576837,56.36091948046741,58.294016913008754,58.666650884093166,64.6335552521988,62.34261808284337,66.11098617248184,64.00328511378014,63.52472769457195,61.94989618615685,59.47736935565809,58.3888178219913,56.66165964121432,53.22069552172634,54.15327733765355,56.31106153064375,58.991231978539425,58.65084534098596,63.49313523981553,61.44741742260109,64.85084882544585,62.334517899515916,61.0391010381993,56.48343227549042,57.68940016414626,53.393649239655396,55.86041477186724,53.48714561888015,55.29977524437869,55.38993987698569,53.442718564064336,53.912845223479124,50.677322118189636,50.538248394933404,46.08961046506435,47.228313016448304,43.93044904752557,40.58790446171795,43.32581532184811,39.705490923064865,40.54383954023313,39.69237348342148,38.454646428232856,40.67197262999293,38.55668389286122,41.883016376018915,39.70869380637261,44.93760614582743,46.13984623519635,43.345103113766605,41.6808703302628,37.063521069445684,36.402852487577,35.95968164528437,34.566763736172845,35.43365256972906,36.07363795448232,36.88513236664678,41.16455009265811,36.76657759701485,40.51912046997043,40.385441299821544,44.320456106804556,39.163409438735634,37.99841701261345,32.4331095747941,33.39099952140072,32.72278669029007,36.52368378637048,35.996857641099794,40.63272709344757,41.905818988336904,40.89646753568485,44.52950596994484,45.654670495348405,42.76822391246103,44.18961858712021,43.893558494119894,43.278293905068956,44.53989868141613,46.36361380213867,50.231743961274375,50.989467197093795,52.37990996554989,52.1899226928242,49.74400512758692,48.83576225267009,49.2435485993059,46.404694160823055,43.76429949554258,47.29559090254507,42.25831139744456,46.25471998880437,43.11939227487132,38.09833368355943,39.19364498408119,37.35330641346559,34.31700500947102,33.45208481369233,35.654778188073415,37.18341680956387,42.27674126232248,45.445961243204756,48.49923062966544,50.882693517081535,51.532473970040925,55.86497061203521,53.38586810105274,53.287835123204665,48.98407289297098,46.8055126056173,47.682335409677314,48.01259205372342,45.87600507241807,49.96058139812456,50.55821429359431,52.84970139809396,48.33895136490167,48.349641744473914,45.83611613207804,45.240524214642534,42.33505254458904,40.4793241496779,40.31231372431238,38.819791841171735,35.504979960800156,37.242000843899014,34.66749487443946,37.21213632996152,38.08823094688505,40.07720709586084,36.97665310244242,34.05974972632513,37.523034993167485,36.63699082721432,30.58387412764509,33.21403763496639,38.22308233943184,33.67016932136334,31.529142952642932,34.79213580453185,35.87462109592487,30.95136906535389,31.48668260333378,29.442203708319944,33.7183654717014,28.191805530254157,31.559816846092144,35.198214843887904,37.476271618182345,41.16825418994495,41.74421229176225,45.25192532009236,44.21005868205119,47.282464549938936,46.734420575300604,48.45536794478621,45.50986993969163,41.01168682624398,44.14692743187588,44.169285745856094,39.45160979793217,39.07497810073279,41.55797406627373,37.96092217380539,34.4272584882721,36.22500237693793,35.2913812463651,40.78272978806433,43.42290532632552,43.885469848963474,47.77544180445521,50.913087807979174,50.310503497465895,45.42635831411108,47.0819816256519,49.88310135904232,46.06070122009355,43.11501989082302,46.3533127653525,45.964427111898296,41.633124452988866,44.19606015934064,46.12164305927261,42.96921637753118,41.07464358395412,43.810400665329325,41.277878998556034,43.871069385513735,43.52546624922519,44.78058282143382,42.178813718936475,37.927243546514184,40.24380736617966,38.9887038841306,35.862217392392516,34.83298251118094,37.9378530055584,34.394679943302584,30.549304907359904,32.66535481220828,34.28784891334382,30.3942414849791,27.458846643565884,24.76908773281279,23.201147026003966,19.88667169197116,23.603813544512317,22.22312526906439,26.325243776167998,27.093434132396624,22.3210286887887,22.64986257246797,21.01073039164881,23.671306861175275,28.098493258981357,29.45546563589559,33.20378803675882,33.02514786899019,33.5636937925381,39.18894004316111,40.97858979182198,43.43894165838564,38.631555582669975,37.808979413219916,41.90401416620513,40.978092612537495,36.23818874273478,39.24791525603486,42.90657216883384,43.383978848154335,45.90879179540527,47.75277876643435],[29.945426731535363,28.22704546569436,28.709576667202015,25.200993026733837,27.731165063074368,31.78596443553676,33.824434636280735,38.358046809688744,38.50812977710075,39.02396590342696,42.25217762204655,45.274907222186485,43.40306146825921,41.59015378976625,46.77699051506867,47.7384017830433,44.53131443426661,48.089195951755705,48.04373242256681,50.197914164015394,52.18857678067115,54.9202671637507,54.374296604373235,52.05409287450457,49.71063143791868,47.297391526800055,46.19553507640436,44.19073194326225,47.14348589523005,48.32678655731203,52.709409433026785,52.437797096764825,56.582305496012346,59.4387814637461,56.2620676318457,53.4176496484804,52.36196380441553,50.445958103631185,48.567755229187725,52.88198496276722,48.42135764105919,51.079350080614454,54.73850841358502,52.178675534335746,53.21552238647849,51.11415607853576,55.03006608140433,54.99942654694681,50.12395965485193,53.11990454717915,56.892941837049655,56.85333895384893,59.62503711386465,55.22265642649725,60.181671587230035,62.311157823405466,58.48634872106864,60.50936592103929,64.50678205666986,62.11193791462198,60.330767127185545,63.26442668486217,62.82245482650516,63.52768923559425,59.97556622374571,57.58557231525958,55.274496128172174,53.78702052450786,50.86050929791181,50.40753197779256,48.75209873192834,51.00263499862823,53.73429050029115,55.92413943895467,56.20323722641448,62.25774552004851,60.164056196196036,63.83475713839204,61.890859349245666,61.655231338913374,60.012790829173134,57.792517312831855,56.53274519771908,55.100268477336016,51.6998171716161,52.31044314859853,54.4500409611295,56.88688752952081,56.52408627256467,61.14088982911819,58.9915518391539,62.292446782107945,59.624838466784176,58.21640610593936,53.60187097179227,54.63638146814767,50.29965653469454,52.876847065196266,50.460159042483326,52.19605236287017,52.60512979805004,50.73489843786197,51.46776836626745,48.313920707137136,48.607977073035926,44.03691920901293,45.35014013353262,42.28714385069307,38.71390838215267,41.18584826967436,37.32549045096536,38.22634929519717,37.02919055131799,36.0154938583281,38.061482437487655,36.159193085337705,39.575688931152044,37.66386032024447,42.86979640104907,43.766293203286956,40.849174276959275,39.00120368322617,34.51176321733496,33.725148886076525,33.110426921765864,32.143956890319984,32.817928978432924,33.87767447983535,34.914840140881424,39.42531985499402,35.352359130940656,39.30223040514908,39.381631413615,43.00413894949024,37.88763358518461,36.3488179968707,30.895929616473556,31.67305331282493,30.882035272176342,34.76394351490054,34.507692004768764,39.3771950198015,40.25857360213855,39.113242159710516,42.83562179725459,43.61897402128657,40.63630063853051,41.80243762596477,41.48103594545235,40.54268825395281,41.80493679710219,43.31613939296388,47.24643588629662,47.69590853502697,49.139158264201896,49.182657337297705,46.83955438849603,46.12924883723802,46.64467846932894,44.07687966666601,41.751077458728105,45.28247184565071,40.51286857505489,44.699914722750016,41.9514769404353,37.137179266981576,38.41255767356054,37.00213873326741,33.831447980552205,32.56712073500234,34.60142719100094,35.793658426893266,40.88949203947767,43.870534407786764,46.72670857808498,48.93520396100113,49.33553111365566,53.82544982812425,51.617722501579635,51.607463968301495,47.577547991052484,45.131711758280034,46.47958646424589,47.10825460112129,44.8813735082001,48.98829901354514,49.40425772468629,52.0543310128692,47.63660823608265,47.88604400422078,45.57562912623514,44.70577316569739,41.940369887642454,39.94491543187733,39.77994919373544,38.39440611182241,34.70132687461847,36.355917948257066,33.54597385955018,35.65071636078482,36.64385260013123,38.22087903402087,34.977820303584664,32.30806106400878,35.67404506462049,34.348893019041945,28.3696479438895,31.186611241133352,35.91126497119946,30.991998687884703,28.98453224206086,32.27617890403094,32.97925645393145,27.939347440787817,28.774651565092856,27.009474128384298,31.45990270844193,26.635234915081806,29.85799940608152,33.50428282850152,36.28667290374493,39.872957872373966,40.85301990773766,44.19110781575697,43.14767388810705,46.2652987772462,45.53736103621776,47.65405123756335,44.833047702989106,40.0588740477298,43.313422258129506,43.80600552766237,39.02750260117375,38.45355782720449,41.20828563038266,37.98886774323513,34.18996040104374,35.828246476816986,34.39054921474319,39.6784423922074,42.37174294958313,42.524708346228685,46.26923367531677,49.268322845759215,48.47501152238185,43.65699024909074,45.195721157868796,47.750061084878325,43.82436939723083,40.93981211811986,43.97496749009015,43.361859812788126,39.07234307818407,41.83969205076939,43.52540918757141,40.12314213303763,38.52557259386924,41.45523926704137,39.132944542234064,41.939680147405134,41.66484843605858,43.26557828320729,40.5806726911431,36.136423285779145,38.84541694813025,37.81318631990749,34.509140445269686,33.60878109713245,37.20971505714172,33.727788873922215,29.587936451425552,32.05341628897408,34.10993049675725,30.192636984373262,27.0126926910043,23.7413717777174,22.92110252002739,18.99509385644873,22.347938864260342,20.238690041419105,24.278420847855994,24.42304868921677,19.717090931432793,20.512159788023563,19.507942186420333,22.319055561606753,26.639661768857007,27.507089309349123,31.476453875067435,30.855828381159153,31.061614868482057,36.76354785850143,38.51804590917024,40.77629112587741,35.872930430409916,34.99005854349776,38.93650820066507,37.88248607826954,33.0505614115671,36.05101600679371,39.59854241682885,40.01664379869991,42.59628219962863,44.47179361578953],[30.48991971461338,29.209817299017796,30.121592855490245,27.186139002264827,30.323686981892095,33.888037898367884,36.27830622802973,40.71022787947876,40.77384637114442,41.636255112697036,44.74792186141242,47.67947682180085,46.240217077025896,44.353197090989276,49.57230364587012,50.68127334904401,47.71209333388222,51.39367026653424,51.54921127497832,53.82359443140233,55.92151099323922,58.78623135099423,58.27460426821874,56.04423768460375,53.665814466374236,51.105876557037696,49.98128692905561,47.78851954725638,50.56160711521262,51.55130602680205,55.77594763601941,55.438247085600594,59.4796928928876,62.52317740486096,59.478738478441755,56.78143113782472,55.68405004613381,54.06754076241824,52.31723797110066,56.767953137583994,52.41147331909896,54.95402875035008,58.69274500227269,56.254532458642196,57.363892273971516,55.349638537534375,59.290079813696664,59.17623278306219,54.33850123614151,57.41107867723406,61.117058834679746,61.032484565758914,63.74722953962211,59.25768455851913,64.14539299890065,66.34801286917742,62.49734999262075,64.36889512996368,68.43716084404055,66.16659722664758,64.28459118727278,67.08640333695931,66.50427151619594,67.26528667882116,63.80111254010842,61.30832368011678,58.86545720629642,57.220789128956554,54.20975039826192,53.52236234066288,51.868809468806646,54.012144434537284,56.79784163710119,59.21934473074532,59.452091525131934,65.5645221032619,63.641621758894445,67.22188162392229,65.39770823357718,65.32047308655083,63.5885952612227,61.503605593523886,60.05703607865409,58.77389624356954,55.46451755961631,55.92280326325904,58.113616278868044,60.338142130930876,60.03038476884641,64.4467320890949,62.23778812690056,65.43889484843886,62.62818190690173,61.09359939911129,56.42760032615778,57.25667337002427,52.884364403300324,55.53536027812457,53.02045167117239,54.509237452199706,55.353122843243455,53.373092380162944,54.46143451438186,51.205371806287,51.76956999514457,47.07174379790656,48.26946928324912,45.297576668061616,41.536870383287656,43.94225349049159,40.026573847898035,41.25663498209155,39.88539976045906,39.21306598707162,41.208285280880844,39.54254680865162,43.029641383528215,41.322008327889876,46.461888604497986,47.14308644634955,44.12585655371764,42.12766633154719,37.79276983585443,36.881534845317695,36.029098972963475,35.39430890487173,35.61647631015246,37.01815822618446,38.012389147716384,42.654331051273516,38.63305755567847,42.516753962038436,42.90829668520595,46.425963453977715,41.49640596874764,39.90353618557091,34.44954885137618,35.36889673761784,34.64122278606588,38.56107040961158,38.50119172762107,43.45214060178049,44.147526774274475,42.915584505412546,46.66281274432803,47.212852943673425,44.164338641011696,45.07206874828179,44.61982325067719,43.36539934179922,44.4197556854202,45.6204986839096,49.42590689622323,49.46062634294756,51.18276818468997,51.5309038596927,49.42642114437484,48.806516388939606,49.588623284940496,47.1295292630402,45.16901945644675,48.79886020995504,44.246682362222174,48.51106846542631,45.919090533663216,41.23917630733905,42.44353427228709,41.16622574734319,37.87967103547588,36.61812333229064,38.50272255091614,39.64322710135538,44.68079227047987,47.53425671018467,50.28701503016406,52.30177396464705,52.62780165359907,57.130923982121296,55.16327061164018,55.10258389281577,51.283187929900144,48.56259496729815,50.08994842617131,50.85204223039636,48.7057056135326,52.93746497658247,53.37690318113286,56.13263228841396,51.82625584724601,52.053546550932815,49.752205247560816,48.76176715676968,45.91578964055732,43.78471112316893,43.46230308833739,41.89865195408016,38.119727561024746,39.475801123387214,36.37716194959771,38.37678835612102,38.966703553159626,40.4307880365629,37.345060334797765,34.44172714967104,37.4454652132667,36.10176904824414,30.214642005516744,32.61490936951622,37.0888782411275,32.19866751871326,29.923818704607932,32.870627736233196,33.63995070107079,28.474357337008353,28.878170924562028,27.42949696005156,31.520690138518518,27.13462653397037,30.67872590841872,33.99789654137704,36.93630296354063,40.12604299051602,41.49453256249564,45.088317791327015,44.433541913549135,47.770064185646234,47.36305741790214,49.570861853518785,46.50922293259674,41.98935101543369,45.51742206034376,45.94805456704243,41.134104332164576,40.86129429661586,43.85175854436645,40.42968408692439,36.61463706437235,38.793440124310436,36.958991467432526,42.42507956166695,44.898524319457415,44.66744760976765,48.46926865872518,51.14130845509458,50.593229810626326,45.81683032999202,46.87048217426347,49.452313007127515,45.71768329334389,42.562965047551636,45.26778460315339,44.617457408850754,40.29529053726484,42.787345915491315,44.272279766037386,40.80570881284301,39.09217202408524,41.89876083203962,39.77722510719157,42.83628304074852,42.9835557195376,44.54597254068264,41.44742346394845,37.33016757054447,40.36270171794031,39.00086059634739,35.62547871073941,35.3150519827566,38.74699619628658,34.87879709164182,31.11390490583665,34.04616427295485,35.712146871954154,31.494563599025813,28.602084337092013,25.403374567262468,24.248454932250944,20.345827668737243,22.95479462144614,21.309219861131787,25.612239628174454,25.7827778319644,21.17288883577754,22.495561863867756,21.674632863541976,24.87734413970512,28.93140496124407,30.096524258855545,34.23691706543516,33.68406466943722,33.29124135908486,39.008039801971385,40.43295149552022,42.78383749284433,37.95549387972786,36.585634460835315,40.373064152364414,39.68709798100257,34.5883595323177,37.06708125247156,40.636250563579225,41.25920099724211,43.949995147237196,45.90396550636213],[31.796306090037444,30.122836402704575,30.441495161501756,28.15445475125879,30.449446248302532,34.87305621051399,37.285459411071415,41.646443420661036,42.349994414548284,43.26582221482615,46.62023720699649,49.322995810914975,47.58120192808737,46.2037963798193,51.369565421711336,52.114638068571445,49.033690502900775,52.75076372555097,52.93054572089283,54.760386610444854,56.8897839458172,59.38736143616712,59.02013686657188,56.666824580920085,54.198091863706225,51.99574907405701,50.60601094215431,48.63923740657449,51.504079055903986,52.451019125814746,57.22427725510677,56.478810812421145,60.69552582737972,63.68180893164137,60.362903834714054,57.67327253026573,56.22566683798517,54.47936499718257,52.44654022070032,56.3886439792807,52.27098417817718,55.28335227019814,58.77974455705569,56.099069495385976,57.27440511770932,55.050988693798836,58.84104730596698,58.74115103917635,53.70847811188814,56.440416794398054,60.160203884472885,59.9222555731537,62.82517968648565,58.562954956019766,63.35134908560128,65.79989929813678,62.20929794518914,64.2980740930014,68.27213566992438,65.94291972601725,64.50670300946868,67.60181800813443,67.2100013463283,68.16302835945945,64.52546654448322,62.03684090604802,60.11958982948276,58.56261776400293,55.9282124347853,55.445898275450055,53.980086078789746,56.4198487997472,58.93253223063928,61.0766144270248,61.07428465252083,67.09893252782176,64.7380245017989,68.28934713310329,66.1342541143207,65.71115013739296,63.78107167954824,61.309047095150504,59.79780039075221,58.1141221446254,54.92256692448391,55.84045146911941,58.33235484050242,60.659313889500076,60.746710367918865,65.36114339852595,63.49714605302513,66.9958110411142,64.3021112190454,62.726109332434824,58.10320480178607,59.26022586920297,54.91439926198297,57.060522194726786,54.418814564936696,55.71513045707331,56.2024514861054,53.76861559512502,54.68138067638334,51.02930897274535,50.97962130463698,46.34992719667642,47.0882192132238,43.773069516221405,40.23742641398582,43.09429138545875,39.60403096284004,41.09010862354959,40.36967611581605,39.67391291336195,42.26464617045636,40.54821090136559,44.13539696319908,42.392685300628195,47.85643178555488,48.61862125095891,45.85221458488111,43.85547866992583,39.388883623904725,38.27378568905432,37.28587477202662,35.85716738034152,35.8278940163449,36.67915814240877,37.14525784868959,41.527866544943656,36.98233375640233,40.50005066527109,40.92177042408294,44.808462510685324,40.05303367392942,39.065878690058994,33.34796828570189,34.933589363475754,34.745661882463,38.65533506401129,38.82794109383643,43.59243688713955,44.69270107185487,43.31249832285626,46.86944575110041,47.66941983463851,44.66253612730248,45.64927918443369,44.93747539971132,44.06488504159331,44.79909467463926,46.54195922019742,50.043640220713456,50.62002287523017,52.46738250251588,52.425556247148705,50.33331798167949,49.22415988664563,50.14375437068225,47.07103212271441,44.95484443277802,48.87987705000873,44.135166571246046,48.158603017328524,45.068196142277806,40.36307850181612,40.998201035939694,39.410993006998794,36.002505101325696,35.36623228265078,37.19584762912566,38.88959180530021,43.81647055346955,46.81215900079346,49.819354394092244,51.87284967044733,52.715787877119205,56.8488037799643,54.686494813029,54.31675469968927,50.30920076100301,47.618454702376845,48.556061558249844,49.04502577114904,47.18701975930097,51.67565525638402,52.574952718858135,54.92558110113209,50.842380459086286,50.517344489998685,47.91848486343739,47.00834270312656,43.78201670086226,41.59040731676066,41.02823681972346,39.11544866277617,35.719163147499025,36.902837575168036,33.899254385556695,36.47588915818512,36.662595457361085,38.712040175360045,35.93758245422778,32.51088606154621,35.548443525264155,34.93340478126702,28.936692695399657,30.920976753648695,35.83862882238693,31.62556552110806,29.074241160729688,31.96602779403723,33.46244594586449,28.558454845364597,28.414322359306546,26.408621049703683,30.242549422411987,24.70262022421956,28.436870887494145,31.763134385063506,33.992005751191606,37.38036462686879,38.184081944850206,41.97876056879245,41.34185274085489,44.65188696273352,44.54543142072202,46.274873722111565,43.00626663170656,38.87652534001003,42.35055616590733,42.21736424029341,37.45031495132909,37.51823137109384,40.31844552218753,36.4042832820586,32.85120386472431,35.50428640681721,34.035429504913836,39.87725908844626,42.153615122124044,42.176539388676744,46.21465976796256,48.97535420872171,48.8126137578292,43.94397026867151,45.01461545978844,48.01162956832569,44.52039960660043,41.165332929669816,44.153572400454564,43.90913478439304,39.5007962901744,41.59318210426995,43.50175236376395,40.51986702709748,38.240771769438346,40.711888715976905,38.22764838224327,40.94260346264754,41.013623345913594,42.06065314253736,39.05560575064695,35.23623938394323,37.744194348988785,36.04044731654869,32.89565640717133,32.492925756073056,35.27105154671563,31.285915915768054,27.91301129217438,30.535483265397176,31.640655452854247,27.398299467063598,24.800769860992357,22.308215890213454,20.216373996091825,17.021484463354412,20.10219620802837,19.52786892881642,23.938915273422772,25.220969100423595,20.518787979396958,21.128906966958954,19.37999989543781,22.547348626467098,26.62401313802198,28.714683968010995,32.6148002931294,32.90598406643195,32.73129694002834,38.323597308118764,39.65150402798348,42.46771891198861,37.87192063680423,36.395746665723905,40.46202017031021,40.25415253431817,35.2258119767967,37.576218585918404,41.42807944207761,42.27556975070238,44.882853472793045,46.82128514008117],[29.231053529726196,27.201134642101984,27.16702982940989,24.608387415429505,26.45188193443863,31.218471378245958,33.455454394372964,37.831238286780376,38.69740207103028,39.49523161411058,42.942148733047866,45.602945120968414,43.651643212612036,42.45244705176939,47.57371365885746,48.17377229667964,45.03915553736901,48.75875677587917,48.990899385721505,50.66285813067419,52.85061587684253,55.26385122726206,54.99635416594528,52.67689091488656,50.11598530411268,47.97319233969893,46.455542976085376,44.51286656864663,47.379941168708804,48.32119684613637,53.25814014191048,52.41306116946881,56.68709151724769,59.61844264958015,56.21753094648688,53.52281014925033,51.99746847856853,50.21929466443072,48.14120103252343,52.01744763082903,47.9814371045122,51.06742771331426,54.53242198040662,51.86587630133091,53.14039506350749,50.96634029738042,54.751630094805215,54.532477631719715,49.49183459916684,52.27217289014265,55.90673166262878,55.630174270941055,58.502530653944305,54.20748298037967,58.9639434824775,61.465415854081314,57.907966349531975,59.97303214637852,63.949415722375406,61.67831990016233,60.29523591212814,63.415895719298895,63.03182919496306,64.08516926197846,60.42481318422168,57.88601449345323,56.141091604981135,54.57208813894991,52.09937747935588,51.67204254706442,50.310596362213055,52.89577857537208,55.25059419001216,57.29426700296551,57.16653636284034,63.15160144968236,60.65179167797363,64.17881390464275,61.93638160563761,61.443662769443186,59.465701824845674,56.93731308807919,55.423535047550224,53.69932188674271,50.516136422638475,51.48445623052226,54.02932203419569,56.37247694803181,56.54833554165239,61.21022770317617,59.44984777219993,63.04739446881158,60.404994319626894,58.833620534428476,54.242542154397434,55.54709608048404,51.230956697099586,53.20069527241156,50.56744239307366,51.92341790745314,52.172738868254456,49.72458404804473,50.481720314501096,46.83502396378693,46.663962718536744,42.0801656837518,42.8716836586269,39.53491889244284,36.066577617499156,38.94362186369025,35.48953168366451,36.85610598383058,36.27908981179065,35.48482993831897,38.21552998963761,36.47472179104424,40.08752599330397,38.38989855071562,43.973072650804056,44.69590319298179,42.03893389574764,40.036883705791944,35.54284706427161,34.34858429196258,33.3592312698134,31.671746915107754,31.732969502546187,32.39848472073411,32.85047811145918,37.188436763205715,32.645008488277846,36.22865544979241,36.564011528840524,40.439935594649526,35.6330570422828,34.65343139852807,28.92940977475857,30.549715412299054,30.465162154913383,34.37128566783147,34.70268281888048,39.4644021569804,40.574096170223726,39.10376602071792,42.60822224355438,43.42729133964801,40.43357922197362,41.45373674109918,40.72301040190891,40.010696686158646,40.77801940762542,42.73191232631661,46.24975844104948,47.12120400355695,48.827905813937086,48.576042223866374,46.38665896855861,45.17320161855926,46.012171390094935,42.83114083347291,40.61008066774569,44.55916729975057,39.789998618630214,43.78196929190381,40.67139178951614,36.020963773671305,36.61159087540502,35.11987285284239,31.654669716168296,30.979528068808023,32.77034118651883,34.47723048190226,39.39059092058242,42.394873557611085,45.42679186794578,47.51330635898751,48.42232024181573,52.510306580508725,50.29332930275814,49.9155093269226,45.88060554430936,43.225967635653745,44.148923311784685,44.65205473656226,42.76954702658903,47.26716086699004,48.18453901401593,50.564322916496245,46.55969540747121,46.21901308480256,43.654544556204016,42.66372213158567,39.462486926985505,37.25126847516779,36.72980922272739,34.913780541582554,31.436570164078976,32.749159523890356,29.844526774357025,32.395383909539646,32.875137505874264,34.91789538994551,32.01458642575651,28.7842919650969,32.07856793553826,31.401926742332993,25.34985845093979,27.689162170783636,32.7572654546601,28.483482825667643,26.172461309768277,29.35972042681722,30.748544663265395,25.973582972704207,26.24160256385952,23.996069356557555,28.195682694870932,22.45938304745256,25.82812720120496,29.464060276127093,31.726593537291187,35.45617399823271,36.045849623221514,39.52508223812205,38.532932845803735,41.66991698382533,41.229169601961054,43.03192082245249,40.01078841104265,35.553309886485444,38.8576351424338,38.962130474582736,34.1896591703658,33.936677295576125,36.67657880577037,33.070147792689276,29.39364086537292,31.602098488069785,30.22052625287739,35.89743738115844,38.34340480802944,38.55477022277762,42.51511256404769,45.48817548409763,45.09616503763392,40.2078231614813,41.61828207382044,44.5410646412875,40.892016565411765,37.748416334556495,40.9611087700234,40.714959814919766,36.3414719944718,38.69282217753679,40.72653519310221,37.77219688717267,35.63997085599547,38.256922286948395,35.6451877739986,38.188606391348436,37.912692466227455,39.09501356157329,36.4321904903957,32.26111169021752,34.60876599580873,33.27286789041825,30.127714742256657,29.246460240075944,32.364860851498506,28.757849817978084,24.90841187126351,27.265825973366574,28.912502433344994,24.942536549589313,21.94435909582622,19.133814392372237,17.677332534088887,14.174814986676099,17.87610118170123,16.63113885934023,20.78580809856984,21.98372563175641,17.236019065245383,17.453677224719577,15.638779234166865,18.56986054640658,22.826198836039623,24.657035331078056,28.48374971304342,28.726119026305927,28.874635348815183,34.44946027706869,35.9864714557132,38.73486328600831,34.10872842616894,32.949512385986516,37.12311596410142,36.69647060528082,31.86225241654912,34.566946056160276,38.404470671747056,39.11483533950293,41.63467865593965,43.522126086298975],[24.386749761653284,22.906385264912736,23.667228520746953,21.217484640359988,24.391100051799064,27.999575539111074,30.675317129687947,34.97267084952247,35.43673816352214,36.70613484691887,39.92444079500029,42.52785400566142,41.31470026019878,39.86332694155298,45.06167547113029,45.99420101243976,43.31233041439425,47.282275547236694,47.98845957021044,49.985926422975155,52.46541552754058,55.296396846115464,55.15724097334115,53.158031543038994,50.439762180599814,47.81206111981216,46.242268167981756,43.77492800333078,46.22575265388253,46.80603647065802,51.30303633134944,50.46145885804375,54.50797503462141,57.77782946508013,54.700034412959795,52.2782336416503,50.80853999940454,49.676565729582286,48.00455581773375,52.457034504112855,48.57321771543809,51.168429675076155,54.93469530429713,52.725144830013555,54.25212008839107,52.49788355331728,56.43649742560372,55.851706830021925,51.0362022583366,54.31907056469778,57.65781546791813,57.368308682476304,59.913617816442596,55.22461408280647,59.85004582577965,62.38126354338326,58.62772463022132,60.18659768918154,64.3817692128449,62.49857753303684,60.65931813802679,63.342750209769676,62.547570461548304,63.735294119157416,60.331994440837015,57.49473779768464,55.36892363643547,53.395301621712576,50.73864850456622,49.77866675903235,48.44987979497552,50.87334564106344,53.27905134103634,55.82170378310479,55.56366871651644,61.692768362630886,59.61129690621543,62.94646467113121,61.03956374644177,61.009066089276466,58.9224202705161,56.873941747967706,55.03830579611474,53.86467183138812,50.78587708353419,51.1609052918873,53.65805599219526,55.52561013297566,55.65315079443944,59.85426599359586,57.88493307680708,61.24405774591393,58.30594874927565,56.5122691592127,51.816926786517875,52.72993942767882,48.342034887711414,50.54634889162832,47.80782346745893,48.919264664185036,49.917702838885894,47.56519468995761,48.92680690054352,45.3943255327992,46.07679433530314,41.26039822771329,42.29032970341756,39.41685572651778,35.49722844729633,37.86366067498148,33.98675322817409,35.61413880669962,34.35538702639884,34.11143482591702,36.48891928488186,35.215665648643125,38.95997174773985,37.76350422824644,43.19819098803112,43.36415351659509,40.47304386590564,38.13590486208171,33.96249732932124,32.53507807829282,31.15883284197717,30.388749616769243,29.89496180277822,31.458059162071873,32.27858730708673,37.02771391587421,33.110265286578596,36.94813629565244,37.7520965061515,41.032276452195,36.41471459479536,34.79886573288424,29.35240229216539,30.67816088805096,30.387604732003194,34.37752860049922,35.15147429910236,40.24427929170476,40.66211601761416,38.99170374704856,42.62745758413335,42.80651332749696,39.6566043068449,40.14691502418298,39.33265706785496,37.92318231590538,38.58905567158347,39.83650894225105,43.39272560279384,43.509709237642596,45.45522087625647,45.76244755256187,43.86980305811731,43.04779270730413,44.18696379150768,41.54138332822772,40.019796443366616,43.96329421869174,39.75161109681453,44.04964581008457,41.65211838132106,37.4063367499595,38.28827930349697,37.504312666022514,33.8825231774648,32.57699844781544,34.04047735247413,35.145345320435204,39.99032184906686,42.614403791394466,45.25661642146882,46.96941011501208,47.41613934077155,51.76111581706747,50.09421709966244,49.85361557121495,46.36676309677326,43.19962939947176,44.959116513810244,45.98224765225841,43.99238121039393,48.50864679813567,49.11727357062122,52.0724127741517,48.24126604466756,48.29793945697154,46.076301234085705,44.66354947623842,41.7074748876542,39.27809877238295,38.72396120997784,37.04554748702152,32.99081468775426,34.02364209423884,30.639097272706522,32.3518192759058,32.81481952924618,34.06720383091651,31.02331716203698,28.125567003014076,31.01042982800885,29.54558256036915,23.70991768668804,26.118801378443223,30.508087382457795,25.581410153556913,23.33450297777663,26.36988556319084,27.11655771366691,21.99535502270889,22.547530724582096,21.018308109317758,25.336976758661482,21.206117770017077,24.483208270625138,27.909727475611746,31.146078830881592,34.41877973664504,35.932891694651154,39.258700143567154,38.49221226594776,41.80589315416668,41.244982391376844,43.732562327666045,40.8106007273949,36.08203424746195,39.694298036590865,40.52409569224121,35.69588315533074,35.28208472617981,38.532976560205775,35.48138843911161,31.452094508695367,33.61792216911403,31.24884351844116,36.59568247075775,38.99444210914467,38.48782403101849,42.20718925212342,44.75880893475088,44.179459735774806,39.44792023539744,40.386196498717055,42.896668558992914,39.18303848207226,35.99878540615689,38.66256400409996,38.004549215457885,33.67933102713344,36.229227404231196,37.72885921411581,34.28511467612126,32.59891648505153,35.493013610968426,33.369590056972385,36.43732508253582,36.53332964758072,38.2827181140595,35.24632786350343,30.95285159382266,34.16072648447499,33.02593195345252,29.55812081208484,29.263345406234972,33.08779760837642,29.413451792815906,25.347461223807223,28.526337315197527,30.6390771715823,26.543340452182463,23.390620728247924,19.68644627624193,19.42595788296309,15.001734735021147,17.341864100971172,14.979941690736236,19.1585390975163,19.171289067652033,14.605574159850544,16.129760793063628,15.735714439348135,19.08336897710171,22.874030142182946,23.96034392482888,28.22069591147309,27.717759056103468,26.92887510294154,32.62449742653611,33.90803808867133,36.352230667770094,31.605594658715574,30.04843120142112,33.87249298578926,33.44298563433044,28.273472358886,30.647615529099,34.3255237805417,35.06516564950596,37.754324753911504,39.747779674540034],[25.738148574550088,23.72796503950388,23.970481738597076,20.254110227375985,22.600448841787337,26.799603897612904,28.81203436230853,33.33440605525164,33.663970895718265,34.25913813302115,37.57780085087133,40.47404189561179,38.59455015155848,37.01272438203787,42.191103331171135,43.03275029452939,39.92627225945188,43.63118837717966,43.88100818672959,45.87864542987655,48.095272102884216,50.82490213840392,50.50115221597019,48.33332933714212,45.769911777535796,43.2920697074322,41.92824582011587,39.75823621075267,42.55526465594989,43.554948183565244,48.10054817625974,47.59446384043576,51.764512368826004,54.702340063528716,51.492060484683556,48.763456614574395,47.536653398040684,45.842933190509534,44.015499541732474,48.38882334435422,44.157428012500006,46.81491858167601,50.51839329321099,48.11674773238464,49.41513695965522,47.509000699052336,51.453080087919446,51.108801998070795,46.26500117429005,49.46203158695476,53.00030942618881,52.85947886509051,55.50012604242652,50.9334145722473,55.77128905766729,58.05694374870421,54.24971732086429,56.07378533573117,60.15664886615899,57.994641238609155,56.19079881395486,59.04039100326223,58.47112002797817,59.41465076758792,55.89662944259875,53.30106142497865,51.16369310264945,49.490070548736306,46.77169997489305,46.1898487277617,44.72592496990582,47.17358965785922,49.66424076250352,51.89691716434148,51.8923900847568,57.958753762307,55.76163516881823,59.312330907825505,57.3212206028678,57.118436012317616,55.305609286118134,53.12622655262495,51.6894390384567,50.34639509065626,47.03436484365126,47.55987331159043,49.83355067721976,52.101084213513936,51.93558100508606,56.4596239158312,54.43240388388466,57.833413854998454,55.11591978043793,53.59344468910389,48.96806119387937,50.09371804637402,45.753622486375306,48.0931184121959,45.595587676826995,47.24294459674117,47.6118094045099,45.63944342693834,46.41505540187869,43.205160308757904,43.577941082383596,38.96820743826027,40.3336167285521,37.36261131271544,33.728137089648435,36.108968010815815,32.20375897004655,33.13327286841766,31.960002383766135,31.057620017018305,33.280335689424,31.539016120621383,35.10107652260213,33.46359873653561,38.868107960444895,39.47626515472614,36.63752317172263,34.610926185092005,30.172030519501458,29.1132760920239,28.279717067912856,27.202962550673515,27.699039679657705,28.80546787038241,29.87436498242719,34.45902495502795,30.54165159663951,34.591846345975085,34.78830846213515,38.22135632461133,33.171464962544036,31.495267514210617,26.081938405087193,26.91930834543314,26.285185095491695,30.22956197871471,30.448943747220916,35.447695284834666,36.12666826990933,34.724755987083626,38.41089089940315,38.98657045707986,35.94297288683189,36.931052471195066,36.47873864267704,35.51479253115468,36.69813414171451,38.2930652712034,42.19033367627336,42.80191718090291,44.21807144507505,44.15627354475544,41.82600663529033,41.03548139012884,41.62720953806914,39.00230567289456,36.81920265001931,40.46919612348046,35.85990311328149,40.10324852776964,37.521697606228614,32.94742931180649,34.15623258063195,33.115366743171165,29.770127310557665,28.314933943146883,30.13485701601785,31.202615304462366,36.23826207299297,39.09846107873866,41.88021552534141,43.97163405926806,44.38062092470786,48.84347755124456,46.76587072687256,46.722604201146495,42.85555296157201,40.21966178249712,41.77745998198282,42.58854513758106,40.361016977560624,44.56542357119337,44.99034742815918,47.83457033923979,43.653423749082656,43.90875881659218,41.7146658436966,40.57263667557702,37.84364572631843,35.70674714084401,35.511382991750494,34.214827441823005,30.271394643817075,31.905730738944303,29.03986840492166,30.870378067554345,32.103136038483385,33.46431810834751,30.093840259352923,27.70277627907645,31.179514851911517,29.628336025376463,23.697040455367148,26.854752291033,31.52650878229669,26.466743354939567,24.7428016124681,28.25978490082665,28.734694865747084,23.83488161226179,25.135063401820343,23.288263767989832,28.04899695953122,23.466157808961572,26.22704033392128,30.067488591145594,33.058669328171796,36.82802676601499,37.799480660334744,40.76513307511962,39.454745338728806,42.429839594825005,41.372733547493304,43.72344947640282,41.17340672945664,36.06703025680626,39.230093663284556,40.14379214191965,35.38412549752674,34.48141377222007,37.328796229112776,34.58236388946589,30.601822809225702,31.82654241159514,30.157352280996246,35.167244492662164,37.96941794384929,38.087554084090414,41.68492006307354,44.75132651755827,43.72464050921045,38.943796105292726,40.6642557957172,43.05531180990097,38.99755207537745,36.3038135786848,39.41849736839732,38.736003121572644,34.50953710616334,37.53758636333416,39.237993892096064,35.810532268474184,34.435773696032626,37.53122223391741,35.196891723643546,37.917509234531444,37.39597073386282,39.23819019855331,36.81780433016171,32.05633978907959,34.78653956268285,34.16444769007291,30.825081357521153,29.624886916164265,33.68948266297069,30.597264785806257,26.01967685928628,28.420384985726358,31.08712625504011,27.457751953345,23.930798869718828,20.18786539801022,20.36418473359631,16.067831074081965,19.513496015487437,16.514274332637296,20.141398652724725,19.89930148093083,15.287354605534276,15.961532504026998,15.356212215004001,17.948475852628484,22.23292750693475,22.616745645489978,26.614906111015753,25.781308438450207,26.045922782369264,31.739703306396496,33.61217134000991,35.764898597771534,30.830479480450553,30.14893859312819,34.12684689633537,32.918055006221444,28.20876565620112,31.467725152400803,34.980322332280664,35.30140199519737,37.81942286586481,39.675114483420785],[25.598904194524696,24.27274063952121,25.38611811102617,21.071121012337684,24.609339937032257,27.38691173846399,29.3792605961925,33.88897241612787,33.31955590583239,33.88089644318899,36.80741821536744,39.983189332893694,38.59607286236899,36.30921571586561,41.524294129537594,42.87560135637015,39.973707662120354,43.601414337413985,43.82022259434322,46.40777376513947,48.555201366685246,51.74364139499999,51.22442012900271,49.22526054858255,46.82341734665521,43.903533601803375,42.91920717087604,40.47408391320917,43.10641044901192,44.13720383730649,47.89426947072244,47.9270057675953,51.821944846372816,54.83588025278327,52.01801267661222,49.31527950900044,48.552769622540985,47.06620466569477,45.63052822468624,50.58453320535289,46.11026498103432,48.133153359186586,52.10158833861513,50.02341049288057,51.20610010311377,49.564459365340284,53.639727765223164,53.31129024740698,48.760701730407185,52.30119160608389,55.80184700920134,55.84692178772054,58.24877290258486,53.473928597198274,58.37912503409162,60.34446796544728,56.260302859348265,57.805825235600096,61.96780396784165,59.886898785530605,57.54912157388734,60.009505205580446,59.20295835267768,59.88602401460287,56.61383066094066,54.03863461768668,51.21706693565547,49.43842952425527,46.21923960785645,45.348093001886326,43.62639903592129,45.640138049767174,48.509470296530445,51.12149669373527,51.438109029760135,57.59828506959844,55.99705142990611,59.55973895135357,58.01547670387067,58.260814431480675,56.707968566069795,55.036364965537246,53.682668228589904,52.84731528743008,49.44178152910643,49.38912428143934,51.26094934067678,53.36360313951156,52.697293751174485,56.91777584183613,54.44937830823432,57.430902942330064,54.560311661188685,53.08889686132383,48.42586724612872,49.08117754838984,44.72076795126216,47.7389091474053,45.4150264623924,47.263541622815154,48.15963759787196,46.766452885548006,47.81113041922838,45.11726003596417,46.266422477738644,41.63375921240513,43.48572850684956,40.97830996176874,37.139516577794566,38.92810349410348,34.59864018985778,35.248618057002155,33.231884573096806,32.43052077872992,33.78408879249963,32.166806792363566,35.527913839789825,33.96959847555294,38.83611763985398,39.324269498545476,36.15196303901711,34.136579242090114,29.961776297818428,29.2153765680058,28.57214048191074,28.685254991161603,29.437109421937027,31.27796415712341,32.95250292378468,37.735502465130814,34.5301890864663,38.84436880128332,39.05374862629835,41.99338718506046,36.898143640976365,34.55952211834779,29.65120225859176,29.650682201005722,28.331503969118188,32.1636783389616,32.04689931717633,37.16917918785305,37.31003787345767,36.14226535546524,40.012009214447055,40.24463665066726,37.19397940193845,38.037146186889885,37.91885383015693,36.424951365458014,37.97111380578292,38.7792651424871,42.99494671614262,42.821002150597614,44.113478225868406,44.61411362482504,42.333378149993365,42.200050013171804,42.64947076554375,40.86262682656494,38.96675119846467,42.18694222475953,37.92277373026051,42.39015186796955,40.4697688692953,36.02858400757156,37.875784806095595,37.18810483447161,34.087722328696415,31.992030879724076,33.81728708745125,34.19456547010006,39.229318954994,41.84847307140432,44.26259873041997,46.251424948862805,46.00697488234313,50.871944223204984,49.08382394729619,49.40505618223108,45.838544933264146,43.18622685060982,45.40949263981299,46.517690951376295,44.02016641645707,47.863745295668416,47.745450443068734,51.01498535277446,46.62115797124757,47.51074449717522,45.67586663768883,44.48009888359119,42.21574069322917,40.192190790644695,40.23451388818189,39.28839430815112,35.07435831283024,36.77510798523855,33.83320033663336,34.99561527795336,36.49471772865598,37.1860475453804,33.61570886983735,31.787716217546823,35.012025670768544,32.7224767958953,27.151981257476635,30.489296574487717,34.47769707453883,28.82220565105367,27.386189652027877,30.734547388330256,30.400275755368185,25.31223123639145,27.06407719590839,25.993698173647005,30.731992717260677,27.535739676018768,30.185419749778944,33.79222872166435,37.42535542562607,40.80201058461387,42.415897772586774,45.272319009850705,44.10629729614316,47.145077783699044,45.927658208594366,48.71783137823801,46.302410447961456,41.01365573144217,44.26059636532819,45.634041254792464,40.89036675409037,39.81239537868927,42.836326966120346,40.474791565423885,36.361886471179815,37.31575734724309,35.265412295098336,39.841953572438264,42.71994808281449,42.47888024034093,45.79336471138154,48.62909220370111,47.285699800044455,42.695140957130896,44.2257047517832,46.14777950351209,41.94415155138571,39.44375289705925,42.093837046483266,40.961145335415615,36.904360309579495,40.22741767426856,41.37810445401973,37.446751282313826,36.69417846803693,40.053257066943054,38.20401876801862,41.31188117130789,41.01795535339564,43.325060220671006,40.70631369122771,35.86784397373156,39.16003246503219,38.74143655010281,35.231783867929366,34.366714759045486,38.851135751702195,35.748021689470605,31.106920142013546,33.88304213931379,36.77805163498648,33.084727246001876,29.547618481160317,25.43564536117207,26.07360086521974,21.48361070095384,24.093828662883926,20.56906958179075,23.99629626165818,22.576339116992806,18.431202914389548,20.024992661682646,20.436822465206095,23.02536671761282,26.962898610981973,26.464679493089303,30.596564426739103,28.846081357747224,28.691671778382666,34.35464404295297,36.2076866701637,37.786343828482494,32.70352651929261,32.04819695349473,35.552523601781516,33.858087378449184,29.10801385457154,32.32787780666685,35.422740375733206,35.49898087888698,38.11057022403801,39.97057546080925],[29.36196338337881,28.055768095448588,29.11675684055389,24.70795838557714,28.004419281423615,30.946234921946715,32.74809423801528,37.303695390274356,36.61081096157659,36.89566144428908,39.77734720150289,43.11243468422726,41.509032116413984,39.041285396415866,44.22049625099785,45.61362699357681,42.506347635922886,45.91802065287046,45.757063637641274,48.44983906322254,50.331835961644124,53.478864270370366,52.73330571573466,50.566691252602745,48.38858932480401,45.575850594993504,44.86018581025738,42.65184852087723,45.50772836698414,46.80858281885058,50.458772592195366,50.766947002333715,54.674622791237034,57.50974709940949,54.6764545159901,51.79491960616926,51.233142567443835,49.40064169947491,47.874491640625656,52.74158620584232,47.997090402704465,50.0417850572589,53.94677877720549,51.69087471008008,52.602370607102635,50.769847858351284,54.82136853399671,54.804158821477216,50.22749057979957,53.59203743769091,57.32333706478082,57.49016796740133,60.012269305598835,55.402346721975654,60.45773241997598,62.22992646647158,58.12012002184842,59.89819273018018,63.95487254371129,61.61394018984887,59.308033083702696,61.88082593824796,61.24709879914046,61.667515824296345,58.3377561009159,56.002669643601386,53.05459486068366,51.52479647933727,48.14059928737187,47.50333762387185,45.59827090675266,47.45861250688179,50.529326784745415,52.992696389810895,53.609908144801565,59.71930506587114,58.16090382783861,61.87639419878147,60.34064789220829,60.50219362281833,59.165094193778074,57.41832662453348,56.32146284973217,55.3611131607957,51.82404004596154,51.89141790673715,53.59476972748218,55.948613221106555,55.04906187647961,59.43689284112497,56.8687398593529,59.78189553211285,57.032297866398906,55.74181675238819,51.12903092998642,51.78978983498261,47.46842400982276,50.68311869948431,48.503260947128446,50.573067851613665,51.283497564895534,50.06931336781483,50.891497863675866,48.326092554279704,49.29538106274712,44.75838458967313,46.64978894142122,44.02917166748514,40.32271493468974,42.21057650163401,37.93256488185896,38.371972198195614,36.41557368796595,35.328363987400635,36.53064397133987,34.64488332361842,37.82024226366479,35.91139323011099,40.5953727676095,41.456116334001834,38.26539869131283,36.50876509134283,32.232063026915874,31.81637262297665,31.513484471184604,31.546203017855362,32.706817790256665,34.325779676408565,36.01163940007694,40.68278659014837,37.33388560191924,41.63129114199178,41.58438511913858,44.71898160993761,39.45165248781233,37.220887562913845,32.27623354565154,32.128054550782174,30.62283607530101,34.37987043699758,33.73522495788386,38.70918365739678,39.0935665909625,38.20821542380324,42.10375304972919,42.62611464278508,39.66755270402409,40.804361955527355,40.884437547305524,39.576358174039854,41.31420880005783,42.19985707925526,46.511123231894466,46.40149289726572,47.551859027948396,47.99501620711138,45.57683844751237,45.48735696440028,45.71614766090129,43.95158142132044,41.74251312105753,44.78874877703147,40.28353602557495,44.67548302504472,42.566376622492996,37.85409871002606,39.83575825685547,38.80258424534362,35.90752001074413,33.91799172123839,36.000858871716545,36.47662984035809,41.604142113601405,44.38580370238501,46.903192518105705,49.093603388380444,48.849921031218685,53.75168796338979,51.73707707614805,52.13436526714881,48.33036321105783,45.97965144081948,47.97173329911574,48.87948937501886,46.31695362968369,49.998542572735644,49.82266932916244,52.90850817825281,48.23901605386642,49.18228913969314,47.273659169927626,46.35674126359364,44.13109618542765,42.29144237416395,42.45492903444274,41.54794660243598,37.53728596714774,39.42102406113999,36.65309003779277,38.073603220204,39.605627769660636,40.51422010141261,36.948541533649205,35.01924504651789,38.350565799782586,36.23832538952999,30.563970963469778,33.85596889162856,38.01729556436433,32.459816602602544,30.927173868683596,34.26278993251646,34.08544711908337,28.97124219990239,30.53590386795117,29.369782046849085,34.028776094157394,30.4393885045109,33.30114896796976,36.91720870355818,40.33465850945382,43.74689498284548,45.210830978194586,48.239600901904566,47.1013358284284,50.154330924597545,49.03003718418002,51.61730151990202,49.10685981819595,43.92790882188787,47.125759291794296,48.229514715217,43.47235033839435,42.48472178314172,45.342918378279165,42.73182657683083,38.73983470764855,39.727648558993394,38.02782350261555,42.736330607174644,45.65443908736306,45.62309672193568,49.02566848168281,51.97012810104657,50.676603350281965,46.03069293995711,47.659243372496825,49.687354175952095,45.48467566410175,42.969464349638436,45.71433796238619,44.64818022205662,40.56021791237124,43.81374767699938,45.04001129373134,41.159502154657226,40.29004170654059,43.57572763104388,41.64816419981295,44.71371531831933,44.414923584347285,46.565403090837165,43.927065090998816,39.16878481494435,42.30600673827614,41.73199304484595,38.269207263428626,37.35218410308198,41.593628510292355,38.36747326674807,33.85696243817334,36.48045095958779,39.12735072930232,35.34934004540692,31.916409354586403,28.075394241645842,28.179649294479965,23.803170551494468,26.69166590721515,23.594106897977852,27.228059095630833,26.127895690564102,21.82671110803992,23.20752350336653,23.207134349147445,25.792025547504817,29.93343428111929,29.65032250463512,33.69502321523682,32.06532187631439,32.189407402405486,37.85828631228911,39.790369586974954,41.399714782595524,36.302936741796536,35.74170698629712,39.29359733311632,37.53026464880574,32.844264729373904,36.107239983472404,39.19830517048415,39.239422387571175,41.824503426041886,43.64994285787353],[31.94895270699138,30.313613890719402,30.99107936850481,25.883136648302266,28.45175863173371,31.723875522106567,32.93362827987525,37.56704398143731,36.73143401042561,36.387542221988085,39.27271680814738,42.848812842067005,40.67585930837964,38.05648696627764,43.13044767097943,44.459750842411566,40.97866323864625,44.042106082750365,43.351854596311895,46.084227487491326,47.62117915481061,50.66243687073804,49.66822345342534,47.31910186453819,45.391038123107904,42.751217498002994,42.34825736589768,40.4959416720866,43.67659857997964,45.404035105302306,48.98983833091858,49.67694704679798,53.6437581444296,56.126742915079156,53.213983839308455,50.04830315844016,49.776941579319946,47.393050514157,45.74498266648224,50.48884892672233,45.40030379845091,47.44182843717305,51.24644847131216,48.80377303465866,49.40174822387823,47.402147323240165,51.42332762503223,51.7254801627752,47.1835369808454,50.39580171379146,54.33975876563936,54.68813275537531,57.29527234667019,52.87855831892918,58.11617270978403,59.58831815997932,55.44400906822236,57.49568596178603,61.39860141135442,58.75471145438664,56.479774008384425,59.198658903547305,58.808723490420306,58.92166526783969,55.50410285293666,53.47713150510105,50.46744776957042,49.29198071422108,45.80599316204979,45.57348655802507,43.49395117431901,45.28881028436354,48.49260685254744,50.628221839139265,51.57465335432598,57.574880523641006,55.959875989460166,59.88265208605266,58.30340879982244,58.30656949160506,57.28829904202446,55.44402828791841,54.76908944792865,53.66288673211966,49.92883580790216,50.13177646892531,51.55827366648783,54.295962626308814,53.066974707430894,57.732923042784385,55.09101962537862,57.98517228730913,55.47617319180142,54.48187205268567,49.984346451691756,50.806895330146226,46.58292431413749,49.94831597272411,48.03486090329068,50.57479176246417,50.73311618173435,49.89436066545847,50.18794535150444,47.95749089404006,48.64237359324169,44.36012409983789,46.49684206834839,43.827465471623924,40.42856013218472,42.3047930199467,38.094718278963725,37.93392507623262,36.072256414566056,34.40837063134309,35.356025250355806,33.032059771059274,35.90365686565382,33.51630300715195,37.989348089534055,39.36077047538662,36.23677874052081,34.8784520041548,30.437777452739365,30.499440883321732,30.789563117914476,30.62268738750361,32.656668035553366,33.853087308425174,35.709834828138675,40.12207609334783,36.83989805304305,41.19756901041346,40.62262779686597,43.84795450000738,38.3039298692609,36.077352354293595,31.332062289687343,30.688203302859893,28.81745264594101,32.38120416473772,31.02945627934452,35.76815418169303,36.42697793290802,35.919032724538084,39.8112186686868,40.743378215092704,37.95764584299777,39.57722382555831,40.02679172010117,39.133056810879864,41.30544192264369,42.44892971504559,46.98710001704094,47.26616698529678,47.964463727656785,48.104785883564205,45.33893817362975,45.30133485246819,45.028598758048325,43.341458366125416,40.56500379228297,43.24192574249231,38.426681978225346,42.68146186259347,40.435863316801154,35.460556514488516,37.7706911902416,36.456385230606884,33.96348045660842,31.89271125362229,34.29515357509617,34.70670152497505,39.90125124618328,42.86029650333107,45.4633774918545,47.983586877441425,47.68958924584321,52.649080282997765,50.270071103913196,50.85856634405663,46.74136394234365,44.94283473615532,46.701258651156294,47.37955764554394,44.6367531268063,47.93490409803721,47.560469394509894,50.4744178013615,45.466129195115464,46.62418268060592,44.76875680080274,44.181961817129356,42.224313958968104,40.72153274114167,41.212552117190775,40.64262908809721,36.86313236403703,39.188826915277474,36.89414731855269,38.41643768590841,40.45022855932984,41.46803756812324,37.74835331372206,36.16848011858084,39.84603225670598,37.76083620679274,32.10999151620771,35.77863500185219,40.11674822927219,34.586503220541694,33.355386718232026,36.94414014533272,36.67537463657614,31.751302616636096,33.665251882515676,32.262909034805915,37.13327406297971,33.15591118974814,35.75614810033733,39.60039164247125,42.785932660900464,46.50596312291542,47.578443862486466,50.40769261508182,48.92459356730643,51.734900670334355,50.311304815214115,52.72856914365942,50.46787376502451,45.12104942120378,47.966228766271364,49.04639237459031,44.39358709090595,43.11694915280737,45.612494568999644,43.19155769060373,39.33442022810842,39.67231084769362,38.568770706330554,42.9847019963805,46.14756128303328,46.59496363368719,49.89634316748906,53.19629117845816,51.61855279654671,46.97579387955325,49.144773472058034,51.105015400791714,46.70991205439991,44.54821669830211,47.598017085471916,46.55019728307039,42.55458267232665,46.06714247403854,47.452335212069826,43.637596507037316,42.92211242038909,46.29177365402488,44.20372017924561,47.0084474721355,46.306545331352936,48.45487443996233,46.22910207472221,41.23395562779359,43.99282403607478,43.708402971271234,40.369488351059516,38.89119223811922,43.16761174761056,40.30746894385245,35.578056725220684,37.64680941127056,40.537902228235076,37.07468263525934,33.502196623485695,29.786244886032065,30.00463496046571,25.842010716593094,29.311090201304367,26.043385637963986,29.372177121010967,28.257033702334546,24.009406078027606,24.839887786316943,24.63828775066529,26.685791279182812,31.01248320411853,30.33917204493275,34.0648529601981,32.25996043604945,33.162138529793005,38.705938339790634,41.02773041273285,42.42137128996697,37.2772917139555,37.34087034794148,40.96199167077275,38.67715031726483,34.41030433321767,38.21743600565204,41.1711686990894,40.92176563296344,43.341506411112725,45.03895587847335],[33.258440587438436,31.953324226145682,32.9843232457928,27.57502543346559,30.55150922459827,33.042731642362845,34.08575713802837,38.6322794673572,37.23319305338188,36.7207877832951,39.293025507583394,43.05079377963521,41.092732778766056,38.01976880753033,43.002347432837155,44.63664496710429,41.25509803650306,44.135105901749675,43.30535330058157,46.41538292456337,47.807117569347945,51.106173402201996,49.936989594901654,47.69230453606898,45.95403634668637,43.08260039160086,43.01250925876069,41.08173550993857,44.175543739706086,45.99560238234919,48.99793367148775,50.12547612453911,53.88371058989034,56.31096134454811,53.66753390445391,50.48702818752499,50.587493455821225,48.249029584295116,46.85153366230972,51.897380633274004,46.64453330858649,48.23846268299872,52.158889236493195,49.9229232234009,50.37854201758778,48.55527845897426,52.61312955126816,52.977425686820766,48.68989775313024,52.074403077227736,55.9855422520565,56.4860897904515,58.92409865933599,54.44059116799591,59.709819309400174,60.90587719373806,56.602802081137696,58.508478472570744,62.40404932396904,59.77357762883502,57.165368870481544,59.62734282967425,59.13282336782413,58.99579907336704,55.757306193097826,53.83087975661137,50.365733751306976,49.216059957659084,45.397591583055934,45.06946108996802,42.78776874381178,44.22343182601415,47.70083883418552,49.99679489716905,51.24471688465478,57.2260248428927,56.022685722152346,59.969353047253186,58.694709162363,58.96370917906071,58.193188986093226,56.67527211148778,56.14261515014139,55.340304973648465,51.54257966584173,51.400382555293255,52.496819505191986,55.1806585615727,53.56184062070487,58.045867591586344,55.11272816853513,57.68898892873404,55.15664903169626,54.28107196494356,49.834460437553005,50.369991691886305,46.20868674773427,50.026837660904896,48.31522334615695,51.06684744381004,51.4324500000256,51.04706404699535,51.39455627552324,49.56958178217713,50.6624831506726,46.44891576957247,48.893125623513896,46.50179836061106,43.05951284636524,44.5853644352917,40.19199483218398,39.76954957079184,37.46329692075835,35.77873623408514,36.117274245524264,33.829434965741264,36.436565693331424,34.048615721869666,38.004011096112855,39.39227856064301,36.11484095895713,34.897521988814105,30.712023203342344,31.094561277033144,31.632872835864156,32.14335477178155,34.43578005588126,35.949311969437346,38.142104264474874,42.57926857008127,39.738169448496826,44.21744224998371,43.58779650416804,46.51294866225067,40.956947628366756,38.37661972317404,34.01606576550277,32.849992208952386,30.57062584412798,33.94261978732328,32.289607437452055,36.95635403442699,37.292124029290335,37.02317835976729,40.96234834534127,41.73791077990369,39.02904912670442,40.627718194503295,41.351728935737476,40.233752462866235,42.68168666049369,43.3911906430375,48.11354450271279,47.99922916089884,48.504658685855226,48.925050790904706,46.14537321007938,46.5243430395971,46.06190905826964,44.924102706858584,42.251680223082936,44.55888203574964,39.973398308486274,44.28218747010045,42.459211378981,37.60968339104219,40.313618199653405,39.20476743612183,36.93361523289236,34.511590248530844,36.909005354485195,36.89742090501387,42.02179796789202,44.8245855546675,47.18764257556625,49.67860325049646,48.972235469182046,54.14812456165269,51.901738117623175,52.746684849560914,48.79761783334795,47.096404602279975,49.2027618163161,50.02182731835371,47.11264568212312,50.10002843360269,49.354711109147644,52.484135357383884,47.338843939515655,48.92329381219545,47.323779041472164,46.748720784405215,45.130076263652384,43.74632494984848,44.40909764942452,44.08304328195857,40.19447968275168,42.59132366675057,40.31764346824188,41.48580186715018,43.72444741624414,44.3934292273143,40.56424540328594,39.33834659701959,42.922702742527626,40.466654762201216,35.0441404047966,38.83808949506699,42.83261435516008,37.04661849409435,36.02480824725366,39.543593196267544,38.84562976638121,33.93565672947192,36.111938473037036,35.05630966806608,39.91993098462334,36.57671415214628,39.068420506751735,42.828789390232274,46.30920963866135,49.87697804247976,51.22825822441576,53.95654276277229,52.490072778497556,55.29388313286345,53.72825913230614,56.36852270597697,54.22588082242572,48.74504953406136,51.584152989946354,52.92791381924222,48.29350403487235,46.87563668858454,49.42552780319716,47.253769160427346,43.32944986343625,43.44065024401358,42.19404376386546,46.32519655505877,49.556864828465,49.87509639262767,52.99376885189531,56.21641564345447,54.41068065455228,49.892730544041136,52.04131733326373,53.718579378037575,49.22699054027073,47.246956389409995,50.08150132122314,48.79401525745368,44.938048799494936,48.63808761971871,49.744371796135965,45.695811828243805,45.3533852859311,48.861761577959996,47.013978333278246,49.96809474485369,49.317580790756956,51.71687231355807,49.46128295915607,44.39079340628714,47.38103010719834,47.257604847981455,43.84777547640403,42.45535191592041,46.97056669089923,44.16237044384922,39.34903705064996,41.544329378949364,44.61159569941792,41.153071791915664,37.531640521814985,33.618731818227396,34.10968180488168,29.787586155787743,32.96628583951018,29.419827722302706,32.600139416966115,30.95027040538608,26.974486923981445,28.118233103513255,28.340780729574323,30.342438732115333,34.51341082967843,33.36621493875943,37.08994758862264,34.802347469323045,35.591910905236354,41.03536786366111,43.39297303011198,44.417569544524746,39.241549025623456,39.434736589615696,42.767488141313294,40.13518652445865,36.005939274342566,39.83992300857484,42.48622467112218,42.03398496309153,44.434290172905555,46.07799794363877],[37.76417923035466,36.36482315769089,37.23429532911884,31.529319336667555,34.06793777565096,36.65030498903462,37.27334539350589,41.79126554773401,40.19291823963719,39.18070580428177,41.62395402070035,45.56993861317773,43.24583310910503,39.96151598326174,44.74627570636044,46.39932086960476,42.759221232472896,45.210632099443686,43.80512904051859,47.03554867845697,47.98780945813515,51.205539043600766,49.70561560757663,47.29405073230052,45.93840941732367,43.24252715257863,43.616219046908455,42.06849311361411,45.41402669413713,47.63339747142618,50.372183963678474,51.95768818200191,55.67169993651771,57.747559883808734,55.13305100579406,51.71353603803133,52.17954794851608,49.35169794584231,47.90233742520236,52.815176270432374,47.23013234027428,48.7065742735314,52.49557884072056,50.111772241264894,50.15541116034008,48.174460161993174,52.14796069056372,52.9244974671343,48.766690721597016,51.936319364744726,56.069149666894354,56.78916564253234,59.28726832040275,55.05970805064815,60.479053068847385,61.297506904763175,56.96506092652022,59.13013018263159,62.82657384965559,59.874750987100825,57.25530029116425,59.7946262625973,59.542538414593594,58.98931035897108,55.73533270231098,54.20124858200569,50.55862847174232,49.81110056974228,45.810818423193794,45.867309653102566,43.35806204638268,44.54351197237439,48.23874042658673,50.23382696125286,51.93037499653033,57.73429492505229,56.62776608727803,60.76089699952023,59.54427576304205,59.72140099541005,59.33649184352883,57.80047212843932,57.706081728413565,56.81464955511264,52.855247932726314,52.793332563428166,53.54077051662645,56.56135744186948,54.54051999993946,59.20558115597628,56.13672882140875,58.562886454713045,56.27496929418923,55.72214074613665,51.43972788437117,52.01000358754124,48.001643531471544,52.05549331822278,50.63716394637781,53.78106829013395,53.768067241901996,53.775921839819404,53.71325951455817,52.235736956264006,53.137547159491405,49.17002750870617,51.791546806559644,49.38714306238748,46.20122142061882,47.69934579876299,43.39018915849223,42.51818531253145,40.26022162719684,38.15092496304978,38.15163994489505,35.53184280093918,37.73086112423963,34.909869427484445,38.392906702819104,40.3023190298353,37.10217181585081,36.343003115152925,32.185294482540215,33.07787140428726,34.14804273524745,34.60798455216795,37.539698663979564,38.749439013915634,41.04929756861372,45.23243359663268,42.467488469403975,46.927622919173395,45.883005571225354,48.867791263790345,43.149446174773225,40.612846203298474,36.496935366541464,34.932305264376396,32.34747561748214,35.42508497107213,33.02880568363662,37.302996397194754,37.87487618102179,38.06868319380653,41.94056459412425,43.08270714060334,40.599200842584644,42.60292053934202,43.678663937602686,42.865383882214516,45.65325870131324,46.46035208380159,51.33088194604625,51.3958227196043,51.548356481194446,51.81557529087944,48.80166400179829,49.298498631838335,48.41406588425096,47.44420891175392,44.348788320147655,46.24117511240592,41.46920649358206,45.584615172632745,43.6937957128144,38.66427459179523,41.65924621840567,40.25858472721884,38.43413095472987,36.014833799376355,38.67031706034456,38.594936228502284,43.689363350756395,46.60516765737525,48.99359338884759,51.74684181943115,50.942037827460084,56.15484450084289,53.62074622852943,54.65981291217686,50.47729542907209,49.29634863592931,51.184484507931764,51.779673694818825,48.73687042748986,51.302317139638795,50.337125742490635,53.25893398633661,47.7840168003253,49.605941529338835,48.07730393909209,47.871366328945115,46.52848991219442,45.48565879385577,46.41860959006606,46.34531758240444,42.722586862147566,45.41856825121082,43.49981187041677,44.77762269364015,47.28886461001491,48.06131194520537,44.17458292476096,43.124320269911806,46.88564677745659,44.4908216036705,39.09584068784878,43.028304018008676,47.12583966183045,41.38891004405263,40.481278364913756,44.08945856415922,43.376656469642796,38.55143268854884,40.81669398054107,39.65532240337753,44.56993953402575,40.963176454292565,43.413527860954765,47.263058819998534,50.56891110090306,54.270985444280065,55.404098914784605,58.097481567402546,56.478160230902844,59.1581924803596,57.47182582873706,59.948106771932274,57.910663245342626,52.40522162619599,55.02695954351971,56.257254337950364,51.69959910113437,50.16970633812052,52.43984190060126,50.29987141542994,46.52723537979199,46.291486714361014,45.505667742430326,49.47404351937336,52.83712538232297,53.48007538719264,56.54651595962591,59.98112909518002,58.02578101915743,53.52310624124481,55.97925729144448,57.62689816275712,53.04471259141134,51.266860099108314,54.25564146415629,52.98064137241205,49.1869545324902,52.99132827853019,54.17169152140513,50.157732341345884,49.87881037846617,53.406090623524264,51.477635830054915,54.302482990321856,53.46370287897492,55.81573509998699,53.75172151706106,48.60855429453237,51.36663268759603,51.3317203881352,48.00295149126909,46.34158437424388,50.769692974021,48.098252652212615,43.256400840004424,45.125770271505566,48.19718379597719,44.870866644254804,41.25399203486056,37.52332836914786,37.86637347317184,33.74426783116051,37.22197218902557,33.76173043903952,36.875161616725606,35.31022945777338,31.338174411927714,32.202808578135254,32.21860553688363,33.96228224919133,38.234260055500584,36.96404106605872,40.449639006180355,38.101247892528924,39.35958138521308,44.67930232693482,47.24998410101587,48.12572424956383,42.96113632338515,43.50884532431469,46.83855087259347,43.899073173975545,40.05435917492669,44.132781592518775,46.659986753774675,46.031546585928176,48.3153090487728,49.86044617497804],[34.30272904758631,33.098475835329026,34.19567218279462,28.27701245937346,31.180014522685433,33.02746233841123,33.59514745149112,38.00143541975246,36.05916747558737,35.11115889202271,37.366181818024536,41.3317479909396,39.33993610245458,35.85584864699603,40.64088871917108,42.49383395890166,39.110990804731564,41.67630261408547,40.588855718195425,44.01947015990197,45.196883080530114,48.69319919610868,47.33964253296309,45.202637854449385,43.68035582516278,40.63769856364867,40.940256533061856,39.038594646910695,42.09943316880686,44.118911573544786,46.54522792880367,48.18639648777077,51.74864622874553,53.97928802001589,51.5689730549366,48.313430185447395,48.84797618179886,46.41624028346168,45.25064899676791,50.52655039071962,45.09725993372744,46.22378617262738,50.20916442073465,48.181479912908614,48.469248158302776,46.84838077189981,50.91715085848536,51.33970240430408,47.3631657789546,50.91263959884907,54.75593056283972,55.43271022570423,57.67196275381072,53.168020013685926,58.46238132752509,59.31861860953662,54.875454031997386,56.658846944403074,60.498300235725054,57.864314910364605,54.940107091756566,57.16290792714653,56.61781485857531,56.20205080868453,53.131083154544285,51.35996919517824,47.497614967775576,46.4584341471157,42.360178841430205,42.06758274249938,39.58883932309304,40.70562896964597,44.40738721492612,46.72795472974394,48.303942912172616,54.19903855703883,53.34274624311258,57.339311033000115,56.3325718404143,56.808095999417674,56.35581720788146,55.14440462398404,54.86910387303669,54.34381142370754,50.46488902265855,50.00585523233845,50.69673596689018,53.409828798184165,51.346260334305185,55.711547853222775,52.51957059893113,54.80274709802446,52.34582201200861,51.68095533303193,47.358308325677754,47.716073296030906,43.68860740327148,47.907653539723846,46.50230124078656,49.623269862976365,49.91957687624567,50.11521871329103,50.29021133683194,49.01084078564436,50.39451308703764,46.39564821457297,49.23235980409245,47.15005851245405,43.82921862317794,44.95777196297551,40.472984926523665,39.5420754102673,36.88234328790454,34.98184387710067,34.6342641556363,32.276428848600155,34.48375995198011,32.01380189001606,35.36560803216791,36.87397326426032,33.52883955696061,32.591442546408985,28.67939774792169,29.521421635341895,30.512386800047786,31.580737048402533,34.42309723171766,36.04631276288175,38.612609797379605,42.906717440858735,40.62414630631628,45.204018237043286,44.34987615235605,46.91614575925125,41.3364930842246,38.405949236406094,34.61696060628012,32.75801182320311,30.002766062876315,33.03998916519692,30.969272895080486,35.44041020603882,35.473317851883884,35.52183792578191,39.44485553966335,40.152276254928445,37.610423026158905,39.31895839664012,40.43095852687262,39.283941266002046,42.14127168495898,42.56091521407972,47.49876799871797,47.24282438038031,47.334761790654596,47.84479655513989,44.92594770395608,45.707038822676786,44.86147629860917,44.29765356878698,41.563392410660235,43.34948831430885,38.977742213495425,43.248279401502444,41.87693411211924,37.20076568180566,40.369894769564404,39.498211454749274,37.58542895006052,34.7634184516846,37.17025567781996,36.664272483490876,41.643510671056575,44.28549094327443,46.39106189153621,48.92693480144501,47.800680992552145,53.158125160397,50.95201835632138,52.11210687380921,48.29435740477794,46.87657366027842,49.27329314954936,50.189955433513475,47.076081814700906,49.60211581644015,48.41726206219353,51.738200409539616,46.454895573602606,48.5344399081313,47.26847688352298,46.74281386255193,45.59647530032716,44.43429580755113,45.37607501203472,45.45254857231152,41.53513575036583,44.13301992103971,42.09402507632496,42.86688036076391,45.54253679650402,45.85502089492037,41.88293005295165,41.2419568029088,44.854877369603024,42.040802835962886,36.964487597259456,41.04828040865875,44.722347730967066,38.77321020114959,38.17026097883978,41.73378489400571,40.55590682067719,35.87469311866019,38.51975958800665,37.66576153563549,42.61847098816166,39.778834810454796,41.91261690040976,45.69512196540116,49.3614683505146,52.942502782575964,54.36710295412317,56.79036029870897,55.12637202659236,57.755892709711205,55.84906332636941,58.67324512333437,56.843730367658274,51.12618535378851,53.757471110488645,55.45111112793725,50.92707904892072,49.182821262889604,51.635484691926024,49.937646536690124,45.998880984145146,45.52156126401177,44.32894536039878,47.930236546123986,51.319147484042745,51.699221288405,54.52398774847701,57.812281604680294,55.617214650707105,51.28096038249953,53.67213111236703,54.98796560768638,50.333328979240314,48.7600031831504,51.51703809358967,50.01032055156513,46.39377700113666,50.40985553919309,51.32414185133518,47.13327556611067,47.26756184927265,50.94515305177035,49.26026738452744,52.17947896444217,51.3374939311642,54.01182686306679,52.00421177463977,46.73311728481464,49.744986094235436,50.00794098616961,46.6144773589931,45.00571499947504,49.8274168156897,47.35287064955998,42.31932156708935,44.359926308485676,47.81598399703972,44.598790761976545,40.8330229808585,36.74260656946238,37.74993240256118,33.357923866600274,36.46845966760386,32.4816914152594,35.23308797334201,33.03497332955124,29.472583936163886,30.61510473380902,31.230373920642805,32.8658115802425,36.85050599487506,34.994699379365684,38.50124124289095,35.65941848163368,36.67927081156887,41.8593842782887,44.418791017226035,44.94925706440275,39.79772382265176,40.45111205644411,43.49676789013198,40.290731254746575,36.601724067628965,40.71601694815619,42.959477560636124,42.1589781423887,44.409156994924054,45.91614886713164],[31.085864680339405,29.55056551920541,30.347997991826887,24.546825631473165,27.187537558712858,29.706116155022016,30.467392769303892,35.01897533397986,33.61355315909855,32.897881515012486,35.52267984233423,39.31386973291855,37.15652375011816,34.129995020422655,39.10493450024815,40.66238590123871,37.208946819056735,40.08909150372886,39.29238537861549,42.34706995908568,43.803482884402676,47.1043759637065,46.012517243722364,43.82170534779338,41.98625412181944,39.079365908282405,38.93599048674559,36.97665981783548,40.079471266156496,41.92819822156801,45.00432406712642,46.11932209832432,49.91709462811279,52.29564706472432,49.604714219491726,46.40201030118719,46.50009115702076,44.13641746960479,42.75197141774345,47.8421230411869,42.61690219620628,44.181353932876846,48.129837119452816,45.957758777730646,46.50822362208093,44.78420076607681,48.874752509714,49.102044358433425,44.85033404961813,48.359098446271574,52.1663514784248,52.65416982456476,55.01730159896385,50.4634882760611,55.711280409059164,56.91711509899008,52.59792752490189,54.437714606514746,58.36063543978827,55.80589197766071,53.16686955358429,55.60965112080909,55.08839790760291,55.032610508020134,51.7817513576532,49.78705035253673,46.39355390294251,45.20531362284549,41.46702490361849,41.16294272667952,38.93996759844534,40.51716746478579,43.88981314449505,46.139807922818285,47.29172479424944,53.28528046405202,51.990276346340835,55.931037191110995,54.61266610812351,54.86866041040359,54.08226788530976,52.579602259330485,52.06329494100393,51.30019260466581,47.49511869503052,47.30573306275312,48.387460745431966,51.07561007206651,49.466802201623395,53.980875978553925,51.09013484623152,53.73918987964984,51.23206581776366,50.366013981850955,45.92782506496142,46.57618181704887,42.422097568589216,46.16002143097046,44.4869811660502,47.357084233009694,47.52118424805603,47.2279376699639,47.430430588241364,45.7218043938879,46.81186343435466,42.6838993459579,45.272092725811916,42.97470390513577,39.62395296140905,41.02342307172512,36.63074279954004,35.96738517028321,33.64400835052008,31.81435289192163,32.08612485160477,29.737789589744338,32.33329514969084,29.952949275777144,33.992799555495175,35.34779586728277,32.09751264285744,30.88148594986741,26.63951808254111,27.05644317722388,27.71839914159031,28.211649173077667,30.77612710934202,32.214783775688105,34.54002050415178,38.89908743845004,36.27954750605245,40.81443483048171,40.07738359936768,42.84835637664284,37.27578805041287,34.56157448473334,30.40830359160693,28.98428664382488,26.578107364679333,29.901109669019196,28.27744453912612,33.000460786966805,33.237306913996335,32.932924153143,36.877546467263066,37.62735968968711,34.92908883416311,36.57709974897594,37.37974571748201,36.36208025367854,38.949099245545675,39.75418235569619,44.547966619254,44.644172324281236,44.95904975453225,45.224102960100865,42.3296997704783,42.71426510364226,42.109381624117425,41.02289906791857,38.2646255426558,40.48172794509784,35.92065831475745,40.239609242365084,38.5393439356296,33.78284591056792,36.60934935767955,35.69055735893414,33.48265271407992,30.854659360193352,33.2122542079727,33.01827647815921,38.10687520685172,40.862330915943375,43.17208008563665,45.68815177448299,44.92952384172358,50.12677441097117,47.863262566291866,48.7713788609949,44.854100158107535,43.22332148638849,45.425394135210475,46.303763150463084,43.32781225205247,46.21970458262731,45.38272584810827,48.6170622487776,43.51840790251117,45.21149284405733,43.7353913237781,43.07747777247702,41.61346840194133,40.26914730760621,41.037149637884575,40.91237400727432,36.9758147953008,39.490588861797406,37.379750921862495,38.346749025577424,40.895645973428685,41.41709827351793,37.49404588858393,36.62971984622036,40.32185058808651,37.72757386101985,32.47613006699184,36.53536988742988,40.45028403835869,34.642940911935995,33.93279862531345,37.59357840236076,36.694707289644654,32.00130430712976,34.54767494888666,33.43188737292173,38.4501067196806,35.224741479901674,37.344199588283246,41.212703045827595,44.71424541414817,48.43040944161898,49.662283803023485,52.090748801540414,50.38215948997302,53.002418390549124,51.155986835634295,53.87451149059533,51.9943700320188,46.318611850169994,48.96258667815145,50.552920345486854,46.01277883048899,44.32244663611626,46.78735665361031,44.9967422194508,41.05779370313752,40.70116601210594,39.513115352644554,43.29185690588279,46.63842245455968,47.07129145509618,50.02000910366587,53.36176816221675,51.31767275932623,46.87667359717244,49.28787911992121,50.8038918790576,46.197562928362395,44.489860190621194,47.42287126436941,46.08924310931707,42.35383435743747,46.27286107888385,47.406614009002624,43.38201170033475,43.25705511561314,46.86361746503701,44.99443194947709,47.797318744268445,46.887284633272024,49.42203162648445,47.467298758762404,42.1985963651736,45.065505226759065,45.27865378878626,41.92625130753171,40.22454975333488,44.96568426323155,42.51961888086353,37.4766509623183,39.44186441027811,42.88292327651752,39.713546498680856,35.929117201976844,31.88409664719304,32.90742300638393,28.565962265638014,31.841952284771494,27.881194262566037,30.639770411135174,28.715545375051573,24.99263220662119,25.923535626453877,26.371781934503993,27.988329586852522,32.0511134565748,30.421985651425004,33.97199415094508,31.424835597318705,32.50632213106247,37.81193336049127,40.35828508659946,41.18348325025425,36.011609986010605,36.57126885639015,39.875926253854814,36.934539233110506,33.08811357986979,37.24597855620342,39.768236429156836,39.13523623189688,41.42582766582547,42.99549417764251],[36.15597328590809,34.349513829189334,34.751139328586376,28.72881372937191,30.511101882943482,33.52258537221878,33.753074769262284,38.281080480856794,36.890143791855344,35.54233057766329,38.144550574732676,42.09658396160168,39.29356940321659,36.22122870782078,40.95470882030726,42.36265643577652,38.47819258729615,40.84116745996789,39.291551275795,42.306716781835604,43.22331371006133,46.27180281670536,44.81459513219227,42.31573223752579,40.90160626821599,38.363758833264114,38.669839790268924,37.309375351022794,40.83425803397454,43.21190586782371,46.23956411161941,47.7626062147802,51.61275655874427,53.5203519516971,50.717012407061766,47.17835424187821,47.59470852974757,44.49823185940951,42.89856091314234,47.644473562283785,42.016398443014545,43.664115961977465,47.37429241717447,44.87224737932359,44.92316518145287,42.87364494384677,46.85047679783001,47.619593278830415,43.396366177739566,46.535838343312406,50.680746812093986,51.39821780891165,53.93797133974533,49.76371988937404,55.21814049863822,56.043063691728214,51.758312860025015,54.04486947650161,57.697824462989615,54.68327103054584,52.203309891029484,54.905151189521185,54.78175490027225,54.28733011016543,50.90230477389903,49.39626947140488,46.007793748295754,45.37362797882659,41.566015847226105,41.87154876330273,39.441817848706556,40.89154993130196,44.408900281925625,46.138547978069234,47.744640866511276,53.50973664210673,52.10573672109993,56.29996655353331,54.88744864294485,54.86353181346096,54.48546821174138,52.778659672640515,52.81213116000625,51.76260457962683,47.755313328367606,47.86428042938635,48.62523380782556,51.82766873089129,49.860601745471044,54.73895447595353,51.82169651075224,54.4458789862138,52.296363232324865,51.81971217398234,47.58681832070508,48.45290859984337,44.48198349659438,48.29431144138157,46.931626937030686,50.242368893177385,49.749214784905256,49.77808429072219,49.35937835656631,47.94544729751411,48.54695966812552,44.75385973855279,47.442004938661015,44.99957081890003,42.05787913860487,43.58065798898532,39.419281530514745,38.22658936151518,36.21322058241102,33.77211964869578,33.86907035540227,31.009258068827503,33.14251866063702,30.111880412348746,33.775213813863175,35.88897290053684,32.83706802651269,32.21465803596558,27.864854957597537,28.869011212022794,30.19022628887344,30.245810758680797,33.61785858535861,34.4368449940456,36.74603452631476,40.70027813409027,37.995196171239414,42.43126434550765,41.11123827865821,44.10214878292505,38.30743805719391,35.834212174965096,31.877585044478717,30.10818596928555,27.44838803554084,30.422875626333703,27.830659274107326,32.035854927490945,32.803650934537075,33.05146608749587,36.88177682676875,38.25763217814644,35.84881265186636,38.10534280430754,39.27799119550248,38.830050062200016,41.76072345831605,42.93146206846917,47.82469034105735,48.38213186406629,48.29572343882247,48.19089908609613,44.9736367953834,45.30612830791045,44.19006385169915,43.059894371465894,39.63341023026089,41.43343082855293,36.474923474008456,40.485017422333705,38.46617920784018,33.37058287239582,36.44414419374487,35.00362013685074,33.34897219027375,30.881161973021488,33.62730971989571,33.54175831092487,38.620655320115866,41.62051661753086,44.08910197096309,46.99924075383451,46.315861520346964,51.44683267048328,48.70015328790782,49.755896376848106,45.41787597102457,44.497232704349784,46.20884278747537,46.696262840065174,43.605146232762294,46.041650521110476,45.0728576518722,47.90864082838391,42.39524382032304,44.22458006574735,42.72615052610327,42.586495937069046,41.36524376207903,40.461955635129684,41.54873146723257,41.69141435005638,38.20096337884018,41.11765390274673,39.529121550454846,40.80649936115946,43.65295321296025,44.47698816404856,40.54054914617246,39.7800119801561,43.75088107533113,41.426019386413536,36.14627514755353,40.32415177909905,44.518738426472886,38.930035030137795,38.290657385719626,42.09079423498547,41.36990883363713,36.808249361693306,39.34705927745305,37.93638520150809,43.011006009070876,39.15715634534415,41.24747426013499,45.26409315392574,48.38059990526009,52.34620895613603,53.136987197374054,55.538784680355256,53.603306735352746,56.034408197157326,54.07328504319418,56.45418786646238,54.691973853381164,49.05005358581361,51.367517913602164,52.68982928587797,48.27075883037229,46.472996451236924,48.50222452492809,46.677607357284856,42.99486294408414,42.21186627851759,41.76096029568782,45.40105987618669,48.89858240921874,49.859081969445086,52.800714141858,56.47266667566026,54.322120881388564,49.86336330312487,52.72162018410743,54.31947268177679,49.64334690019542,48.15184550937052,51.396141618979094,50.19907099021277,46.50263284701566,50.46913185934584,51.83473236613854,47.9839877269683,47.77678338516966,51.33508599771707,49.2487717222522,51.78711836970876,50.58211045811689,52.929884297557614,51.278491903823245,45.955773769196355,48.37346869353777,48.65283291333061,45.46247156065773,43.338031773270004,47.84097694700768,45.59420645060085,40.55878645807073,41.98500705362295,45.362705168966336,42.409258991185325,38.65867072902311,34.972218124339804,35.686944528863556,31.721343030053337,35.51348919188057,31.814815350749182,34.517887285297434,32.963459673582335,29.160443028829206,29.55206764110519,29.520000260049937,30.758939103232105,34.99677751094156,33.40266260549996,36.57616023735912,34.179064069363065,35.996075625875264,41.13425064380324,43.95979070867906,44.74437146185326,39.63035692553403,40.63457143740868,44.05718194627479,40.86100980680183,37.37608464279747,41.843183270552686,44.336856175411214,43.554763774223716,45.68653234081303,47.13087914484272],[36.64918321769592,35.052724523983244,35.649416910358035,29.310119875149503,31.262864716595445,33.49775457720111,33.41206149951057,37.773135761875444,35.84348936466144,34.21017811598649,36.47060881908322,40.582145734376624,37.905443526837225,34.42196453945803,38.976450115890486,40.645868149950225,36.859532105263476,38.97809479210965,37.28480399273159,40.659638613876076,41.43680786363299,44.747221098068216,43.150865553014135,40.821699454996924,39.576273509134964,36.784064659326596,37.422683764248646,35.98540899614261,39.38579705626855,41.86331283182409,44.27872114720627,46.25947142505273,49.88297588158366,51.681096447548136,49.15350435103373,45.60934208434521,46.419937262479884,43.38071054594342,42.07354486545091,47.119662447101625,41.3940190523897,42.51861072807182,46.33817593191174,44.12325005652955,44.07928060677034,42.30714862721717,46.31070142951982,47.049372282711666,43.16017272764931,46.531672988328005,50.53771913428433,51.39347895386274,53.69084035467592,49.43165938503405,54.86233114917008,55.405390090329256,50.97261091836785,53.04379175285784,56.6841063446224,53.75120022907777,50.905776317140266,53.30185047424954,53.04908331879367,52.32918848494529,49.15318900227881,47.72835169942365,43.902249930662485,43.28967888289182,39.183722214978,39.4187083116642,36.807588198902664,37.91888991404379,41.66553266637596,43.51763703557707,45.40516300291361,51.11898382996265,50.11577278013196,54.31339396216046,53.20893114915809,53.46074011076749,53.339014874175376,51.99769954752705,52.18416987080123,51.481620950439535,47.44417651235625,47.16227255425645,47.55978945618677,50.68353965275475,48.31975929017326,52.992731545876694,49.805715895294206,52.11489580974213,49.976053309678555,49.64603067366984,45.50945267713684,46.13529321101271,42.27735631802479,46.49074767433421,45.38131023564996,48.954654731060835,48.55273393803281,49.095282939449106,48.65274410393411,47.72222032851902,48.72723790796302,45.080694608587386,48.11038717676222,46.01068291667094,43.09368032822421,44.20152536094225,39.91614553774587,38.37152730504826,35.94431053288194,33.445846239992456,32.86879395493248,30.056732811805574,31.83848908835403,28.848090793168858,31.89383628229721,34.00852598124646,30.851226008182483,30.42974937022696,26.42033172728591,27.801381412721607,29.444428979445043,30.169495305876392,33.86082209601364,34.93598739618234,37.59255454943637,41.484118252461215,39.348381192620835,43.87513627211207,42.49107436333068,45.07123300427624,39.33788569672463,36.483069414399424,33.07014429779234,30.717068217411487,27.650833442780094,30.319284948008832,27.480158867666514,31.541217135853095,31.876737613949675,32.369625635183176,36.19028254942771,37.366434396695745,35.08625684734258,37.31975629029826,38.80506206316484,38.19724438342483,41.43776149955894,42.219989536949605,47.27735383276712,47.56441006832744,47.17631285264799,47.25932513808975,43.99462172416497,44.74462596488613,43.36744304390326,42.833948514926405,39.51545701743852,40.86144034968768,36.23000801440481,40.24580775679002,38.769404095365026,33.95351211618476,37.42972083359231,36.344923617552446,34.94321832141689,32.06930791985661,34.715297733274625,34.11000262121393,39.01010039525962,41.77913525811098,43.94079768119238,46.799234725540714,45.672352330446635,50.98876885648272,48.397131564611634,49.73674263992042,45.63816665823822,44.84861385040378,46.95030933578492,47.61747224525882,44.36268838436361,46.41959220803931,45.02888933706311,48.13062757509492,42.571073816638524,44.88063036289188,43.73176345084323,43.53895269239625,42.741584554157924,41.9643532687597,43.23969584837586,43.693450791196625,40.09347042372036,43.07394043291203,41.56755869896056,42.4031318258989,45.537733504223404,45.95902184700711,41.91978279661863,41.64428093132825,45.53520800301968,42.8302388718694,37.88485975123559,42.24062539539326,46.0577046099908,40.28292224798351,39.96512485843455,43.73256981118847,42.55484651492423,38.14937413246831,41.04548515632827,39.91518959519856,45.01671199523545,41.78384113543572,43.61869404011125,47.586537393090275,50.971928739325165,54.851719436513704,55.84756610298181,58.018692266265376,56.001274607260086,58.34149118725106,56.13315723505802,58.75872136648683,57.22774210382985,51.39845425353454,53.62398166642693,55.30886941369409,50.962850428258534,48.931290707492046,50.984677295416056,49.569814472930176,45.82365153802853,44.66530443380328,44.069094784135814,47.26649529885693,50.84848102262794,51.71501790136271,54.38907759998267,58.01299639341989,55.55258136620056,51.27843085118632,54.21029831706239,55.458652575095385,50.672933355176426,49.48426685609573,52.550433722850926,51.11903727822733,47.63504328540093,51.843304288312865,52.9594279016851,48.935564854451556,49.1642138041933,52.86963188267346,51.00123044666828,53.59602330554422,52.33154284170353,54.96168951946438,53.418550778715264,47.96753140558214,50.53861962267901,51.10743108190521,47.88676395405439,45.732596051800506,50.53510804526805,48.489423226928594,43.30227885108309,44.765752478971315,48.44756578167156,45.61603123828821,41.765657712419305,37.85298595439757,39.0222133759066,34.89804048346625,38.45007638471133,34.36821458896245,36.76633044559953,34.66059746077034,31.23328392899084,31.814510310225938,32.239417638063976,33.308506593108675,37.314393675869766,35.124167503476876,38.188108351609195,35.265249832837526,37.068150990315026,41.982783956169946,44.89489084669368,45.23550182160656,40.154727405028424,41.43579915459201,44.542343542157425,40.91120098431999,37.74525761231618,42.332000366538836,44.45575859160936,43.40328129544995,45.43385311555212,46.78153431764201],[31.92273505384261,30.213103807642558,30.721170010323597,24.283778273156855,26.229391994391108,28.40544830132177,28.368629003197206,32.77235833828522,30.98039766421187,29.54070848481633,31.973299675243126,35.99046006104359,33.40793072758661,30.11299601425967,34.86421821231852,36.457345492685825,32.788257575253105,35.28757956040805,34.105016542279714,37.34067480849619,38.556765210880265,41.94214793080362,40.69355817566032,38.540037935104806,36.87101036971868,33.89136236876208,34.080198935226235,32.282139409912595,35.50863741948914,37.6965793872868,40.42225031173153,42.01702218305855,45.73417251958878,47.7889420652471,45.178817094348354,41.79461414420525,42.297469644331805,39.620974521353645,38.354873180545475,43.56435519023574,38.11506647138321,39.33323714041968,43.29861369212117,41.24473915803117,41.631490756807636,40.06059225502998,44.16742541413496,44.44976970738877,40.45765332697134,44.11031268300799,47.86127106529198,48.51787956441508,50.72017896369555,46.187515690843895,51.49424384848288,52.3656208037424,47.937730245079166,49.754951887543896,53.5923499166875,50.9744536428972,48.12062598443917,50.454719452976015,49.98086590297486,49.68407061200059,46.49459584146294,44.67515812509508,41.06072580146007,40.06942097417187,36.17385207888169,36.104514072763585,33.728038866902516,35.196916325282636,38.67712250601625,40.750604929876154,42.17528014911089,48.071042201874015,46.895293477455986,50.948546209465164,49.74577781531681,50.05498488397229,49.59403951475758,48.26495743796899,48.10404828861663,47.49458069969019,43.56854398525086,43.189312836700104,43.87180814520325,46.73880196053928,44.714388858175994,49.288815796298046,46.24433454082516,48.75868156569787,46.42936631048159,45.83432368993056,41.547046648266665,42.25063902115674,38.25042116949169,42.21728358539621,40.893921281966186,44.26753574640443,43.99148343675139,44.294409521745266,44.05173304215046,42.934033629311145,44.08329646108462,40.30415994439725,43.32063240381029,41.303807545362886,38.26682037098645,39.29057062174879,34.9370935540026,33.51953233197586,31.027077912013088,28.710196718927655,28.33300993341461,25.702114833350727,27.836305762298515,25.185452844558778,28.765868536764376,30.41634258156545,27.186911266977646,26.368145029828753,22.220123801488242,23.23841042203589,24.603274403179416,25.36835209850539,28.85016865251458,30.093499981944372,32.795130157800514,36.82029148963136,34.812500366956264,39.39990767109863,38.24442437110384,40.65693402223285,35.02382208747392,32.01004328275507,28.588078253844117,26.29167877287596,23.316759093097083,26.201404549707917,23.983973193128843,28.471652297497165,28.522177493076576,28.590006093834756,32.503844472666245,33.36281731654924,30.885780730080267,32.85254619388402,34.13525472627576,33.37436981600585,36.48849981192495,37.28488078363511,42.30188150347237,42.63448720910601,42.362672904416044,42.42838845159376,39.236050488243414,39.89614632996211,38.7250620023372,38.09408517847379,35.0174092681364,36.63080656321194,32.13886645463857,36.34715532912668,35.016834840988366,30.405887651305573,33.760757809967735,33.065198391512354,31.359496663747937,28.301559751163193,30.714776872115596,29.99601137428023,34.912131504843664,37.56416322759113,39.67425387249345,42.35783075660121,41.267423086792675,46.592210051594094,44.2033740273553,45.4390501878808,41.535023749008054,40.387068034816565,42.74181917247572,43.63263172756151,40.424776668955296,42.75440574426973,41.47030462826767,44.83399802177074,39.56780561669481,41.76558228496721,40.64861079205754,40.09015521794057,39.190841595637146,38.1751758190294,39.32509471136993,39.74416786432916,35.908839579803,38.75563168069626,37.12428244993091,37.711259098539095,40.890022243425456,41.116593777234456,37.05234992622684,36.950443862555645,40.7829394478046,37.935039182316245,33.14274500117247,37.58489312443557,41.24330186651387,35.45264038379264,35.31232304004798,39.099106463789674,37.782010200293136,33.53229612940502,36.63090995934672,35.537598169673885,40.67142806315121,37.738995109228455,39.298316392552856,43.25490480081611,46.75070791993978,50.62536061158318,51.680323532702,53.6457866577667,51.564332746627386,53.84838819559308,51.5235635217257,54.318633373459086,52.90986313311411,46.97299479543035,49.2005550473461,51.14692452852588,46.832570981202856,44.68299439504019,46.86886704491517,45.72353952399209,41.874181490170095,40.61236690682013,39.727943517665544,42.754972527387515,46.32393908278331,47.039870616856895,49.61619476901114,53.172366353004044,50.64327051324263,46.4204486674558,49.32820612724697,50.47390780068906,45.67183801265544,44.553589506098746,47.57973801583315,46.10860658627358,42.684805031077296,46.97483686655426,48.058972053453545,44.04632540099415,44.396077028728904,48.14421143104865,46.32327096597613,48.88032083932345,47.55531927062458,50.311913170107196,48.86658403518017,43.343418582254984,45.96965116416967,46.728577481813005,43.51365471512983,41.3240275069718,46.33346934330295,44.47431186124777,39.17284050192125,40.67846760778241,44.61411230360819,41.924723540479974,37.98380865783618,33.887837219299314,35.54705140363857,31.333371848844635,34.707204344710966,30.31040117586185,32.38147074557962,30.01430662229557,26.853671219318624,27.43739333647503,28.185335958680852,29.095883064746157,32.90053024425127,30.403721661181244,33.47589710425202,30.375029270281196,32.088182970565576,36.9623676197213,39.87054353284219,40.154942352123314,35.0749647317562,36.407707143504496,39.48432295278792,35.82340984788966,32.700309706388744,37.368411685710356,39.46847627979609,38.397799472171044,40.417457758487274,41.780001508870285],[33.11418229930355,30.992994588575876,31.001336224940424,24.728805602433486,25.864563005465012,29.088127735843845,28.984122752803074,33.483610374227275,32.28437221191007,30.744955248960995,33.50140747391255,37.39390766876399,34.29065015171211,31.46722694167816,36.19947182193861,37.39510388448176,33.40651889551435,35.85687222705333,34.44988458165666,37.25288867720357,38.35748733057138,41.34288163758392,40.091493705234136,37.64892467117965,35.978020026531844,33.43690209887994,33.484506598191246,32.07649626035865,35.63167978079207,37.98867406766629,41.320308131395876,42.64364784619617,46.605829228304565,48.499083865195445,45.551254403026206,42.012336182780295,42.27600475611215,39.171891967194775,37.513201276683844,42.25706279722839,36.72976067736263,38.49489589035842,42.23683651424399,39.77157872567238,40.054937275522214,38.10354362114627,42.15109295631352,42.651652428500206,38.36104280999274,41.676202972510026,45.67232534723381,46.2943506407332,48.78155476539927,44.47976161447754,49.89459080108497,50.865673476699634,46.59767308905164,48.80599112940199,52.53257325920855,49.65489540145984,47.222082569403454,49.969129031501204,49.8034201502265,49.551266731220764,46.09495249592983,44.40931463243634,41.28193055235172,40.53848448360411,36.97119170905924,37.30297548297704,35.05119885489388,36.837069533160296,40.08532616871966,41.73137752146302,43.05625621419413,48.85978835251851,47.197191302932765,51.35302948751436,49.78441645132496,49.67654735921966,49.15660348225861,47.37629311254602,47.34235211088049,46.267631326142045,42.278270481066144,42.415812909768405,43.291997205194505,46.48453486110593,44.69045533605496,49.64367495469603,46.888569880711295,49.72164037887863,47.58625293296041,47.049822416475685,42.808319658600965,43.90644487087359,39.931138180653065,43.45734889417754,42.06518874674482,45.41771074261281,44.63313804468154,44.6188102489234,44.02536970424611,42.626883244318634,43.12202792668334,39.4194877378126,42.19605939507129,39.818670497881726,37.01403269086828,38.451711308748635,34.37093082286141,32.94374577804203,31.05906621128605,28.437568581841514,28.648993988369693,25.696547880314007,27.911939577607104,24.89558030584375,28.914474744177884,30.942207390372065,27.987351927419848,27.30281318411562,22.79068748923785,23.73230418059698,25.14870370621795,24.932377230878934,28.591960534430186,29.194268715541725,31.573316173583194,35.39807776345606,32.89120204191608,37.35310201936274,35.92807398318126,38.77385007862045,32.97493612779214,30.41218087328719,26.656427887783533,24.662940925737246,21.93432454404568,24.904242862102002,22.448008777549493,26.825322988358455,27.549049180345097,27.63963380200824,31.485102109807517,32.85891373660555,30.426124761615696,32.74450342395186,33.92341649605273,33.679395962515564,36.68118905459503,38.096672513438804,42.97975954045977,43.903932221657314,43.65711234186784,43.27934598082467,39.950369989489104,40.155451210303724,38.93549955062271,37.70192406333667,34.152835368681714,35.96281459123875,30.9663543007295,34.99920228170325,33.02552208425907,28.015747311821773,31.15501233793385,29.957235263356747,28.302393856064516,25.614018201727745,28.30055081395967,28.07075269392925,33.13173466473939,36.109184910737454,38.57534996559272,41.509527073358804,40.88454055534986,45.97507587242152,43.19283485366438,44.24455397986456,39.92001198520625,39.02946355952345,40.79520925367121,41.34903125237732,38.21595304713678,40.65119300644271,39.67594353214191,42.63606749345224,37.239911130651485,39.09143397308574,37.686312306965846,37.380316102439245,36.26039233583678,35.35120342594915,36.522571943018036,36.86711020804716,33.33095092381275,36.35934568324876,34.98057183209609,36.05384491150711,39.22290820133359,39.92158882032684,35.93244687267227,35.56522873045601,39.63718640621373,37.249250983347395,32.221736468598486,36.629710811175016,40.73455399917391,35.26546896479138,34.97131718905156,38.887361971041045,38.03312593007696,33.81600071177073,36.68037985491802,35.15947759714493,40.32365045543195,36.575950082147976,38.19678191129517,42.29501648508702,45.3559082482269,49.479240147382825,50.0838501864998,52.118461963765014,49.90942524611189,52.10685236642185,49.84532970322442,52.281285843809826,50.82847674476788,45.010785518319416,47.080269756097714,48.67057660732874,44.395293852677476,42.29616738761311,44.214258603804815,42.85042732310955,39.17806679117828,37.85446206714957,37.482710061453076,40.69772654450721,44.301341390501996,45.4060101800063,48.153702366306625,51.95467382430838,49.57925681534901,45.216686943750766,48.36992017116111,49.82170156229147,45.064780298274215,43.875488689691764,47.252766437579005,46.06539520527539,42.5214318705708,46.664969541069595,48.10884029369648,44.38183400947394,44.351465056994876,47.9551150453202,45.820863977996424,48.125181536626606,46.61359514068652,49.060125761762094,47.78645606677127,42.29773342167101,44.5024598874459,45.16155282649786,42.08681256349507,39.601606947904635,44.30078741798718,42.51257338960341,37.274644244215644,38.386799616252574,42.168883674924544,39.60565207874792,35.71499983770438,31.95530496637797,33.28787189787452,29.407836806810934,33.25196470507344,29.190863935432805,31.330390858251768,29.589471040134736,26.159900081290136,26.197398420448827,26.36918082567661,27.07552566327613,31.111665871258296,29.0138502357629,31.905765019459345,29.31296720482564,31.528758705349766,36.442913197558674,39.463469039455575,40.08671188370516,35.04635290520251,36.46311102532631,39.8767192029094,36.438391807471426,33.32524549721087,38.102729113879064,40.49153838573301,39.560555143811435,41.539548827295036,42.9010619839687],[37.209497495933185,35.106690182368396,35.04463720926885,28.57295924350497,29.337927041171703,32.31868499223858,31.708851352275687,36.02354924051559,34.508011448705155,32.39242393214504,34.87697065161399,38.93761126890073,35.50149386063758,32.41665104391379,36.80414735916445,38.04511903901348,33.83986174286352,35.709650307945516,33.62482980045656,36.60810904666103,37.1809409082542,40.119301511214445,38.48081471777739,35.8986833523807,34.69610523983963,32.308683650315764,32.94637748649721,31.98607970128306,35.75654219044601,38.56017911173277,41.43590516664115,43.34313473761956,47.17180737402003,48.63902979452549,45.79865695644343,42.02478664328516,42.78135571476833,39.17604995486397,37.552487064532436,42.187769816391956,36.31097908472869,37.78627987051011,41.38981412329543,38.8568599350978,38.66555823684015,36.634355067560854,40.59728594299616,41.51945529876388,37.49259976494571,40.646982252125525,44.812811173690335,45.70566559568011,48.16641746521643,44.129352219174955,49.66781556800793,50.152536655672236,45.82977983944262,48.24189023835041,51.73809321504632,48.559035312895645,46.022035954335905,48.77139949544582,48.835761998291694,48.09893308809168,44.67616080524617,43.43633335158002,40.045997847351565,39.75987479416043,35.97181230515724,36.736170346756026,34.227623045583016,35.69268894376542,39.17286234083128,40.478024985526424,42.32533038792781,47.894544132116344,46.40502803288876,50.742131500932736,49.301982596255975,49.153723467462484,49.113965163966505,47.420864011856764,47.90281780497649,46.8409968554805,42.70587326201317,42.81816216205817,43.205504044413516,46.722349425729305,44.410890849263666,49.4871649075196,46.55484166595541,49.15827498016492,47.309006481760804,47.15652842688166,43.15386744702495,44.25155671228363,40.50974279086218,44.31406857086761,43.31198547005523,47.1065782174003,45.93236146031365,46.46649233035698,45.4274234395494,44.55483565511976,44.95456841855005,41.61798558385964,44.64639429401851,42.40471192109435,39.92359871004493,41.17329464560871,37.220108464058434,35.241852085863044,33.334189342856334,30.298503777513574,29.938153383440667,26.690476984455763,28.26982834738649,24.800669925793855,28.04012185692093,30.66691487925502,27.84009364424244,27.762792979038906,23.484761122493662,25.100197351730866,27.16135854065728,27.086810881495584,31.411212111712352,31.755423296212786,34.29654667817545,37.74474525677198,35.567896531200205,39.95012708214074,38.0912642818876,40.80249773189573,34.96100346011187,32.37458386724957,29.187083167357226,26.615042084476368,23.497014340156586,25.90220329693285,22.5174505595836,26.27459230633125,27.145943496320776,27.863417974879646,31.55792400098263,33.2815779213975,31.19183344256477,33.92381071886157,35.559002709393575,35.61484017183669,39.00719759010718,40.40250207914878,45.40833953558137,46.44690129409559,45.762180165876636,45.26277050092727,41.71538810667145,42.147200310847694,40.41809038351013,39.54821303883905,35.62983615995725,36.80844661478041,31.784500615919196,35.5269967733303,33.68598136907801,28.664293396318797,32.224728292282514,30.8666886240822,29.852022110101867,27.079444603323296,29.94429789138585,29.458252313024058,34.308960574817824,37.28328293786307,39.642670250774856,42.80895480803464,41.96048170830574,47.07998712191178,44.05860790824775,45.3946479519845,40.945729691588795,40.679379011895776,42.3132121063915,42.68324691493313,39.38973904887218,41.201791745565835,39.85280673649212,42.649737845605955,36.92644099696973,39.19627257045495,38.0177774034257,38.09063971363878,37.452284898139666,36.9749890526382,38.48803697291462,39.21546151432219,35.98456082308797,39.28228643179629,38.316208676045676,39.323016232679784,42.80344849198835,43.4561981808309,39.4452388394608,39.41158678196585,43.55874606413866,41.14111112606535,36.32948516517881,40.84336110773756,44.86968168696162,39.45578876169784,39.35744671273096,43.296335123138114,42.30034306482388,38.23761579814428,41.24917111512315,39.74280270446541,44.91766143393031,41.17167762598436,42.66738333256868,46.790955449708854,49.76274180469857,53.955594873804266,54.41960817382763,56.32092644479726,53.953221083798596,55.978453430579286,53.52921929894736,55.86972069984468,54.622834628783295,48.769858988454445,50.569582186941304,52.17050575325508,48.04500812704771,45.77417231934212,47.40289209860637,46.24975456836886,42.74898080493585,40.96272890897978,40.99599981096452,43.837122115758845,47.55023205106023,48.92999909757428,51.501120524158004,55.45826089478545,52.853666240346115,48.61890440742751,52.06535484269304,53.36044382319036,48.53094446327142,47.6506677880802,51.08599561933043,49.8521282796171,46.46996748217316,50.74483992059302,52.17140690974894,48.458496253533404,48.6172967010477,52.256475498647816,50.13168690730979,52.31331488461261,50.61522267416763,53.087903879688476,52.0456518664179,46.497733558345175,48.513295327609576,49.349810102349835,46.369912025073965,43.657246366518656,48.32706641577101,46.75745674246352,41.498556339269996,42.31253504621531,46.164789306638156,43.79670908864265,39.91891655654813,36.29453156376329,37.624560258465635,33.906974283847646,37.862191752148156,33.81157584457947,35.79161902942851,33.98313478881934,30.719157371462856,30.612048330355943,30.747021706063524,31.17853872886907,35.132974838062744,32.78057380925331,35.33566716077575,32.576350890825786,35.184894522703246,39.80977261207021,43.01591830457043,43.34706836506635,38.415072041157345,40.228010638803305,43.49673931134708,39.68785328274544,36.992229256466615,41.95571173280976,44.102498234780235,42.9406198062054,44.755692241215215,45.9717763325093],[36.653701632468845,34.51091274183572,34.33563690277976,27.703791554308996,28.162448221384683,30.863111042419415,29.890436939774816,34.05388456047762,32.39104014934293,29.979628796910756,32.35314276619265,36.45224508541475,32.86308077133984,29.71816401823207,33.96236486344887,35.1945345116463,30.939713782212912,32.65860265399202,30.478359593188493,33.52955323973384,34.06956139428106,37.087318361930286,35.44549325217046,32.943109422009215,31.732142434853277,29.24370848294764,29.976809400876522,29.02898479621094,32.80074245628751,35.705292444749595,38.42699930118268,40.49737604516913,44.27316457350142,45.62772062268469,42.835247067129494,39.02342645529812,39.93315137040489,36.274424174003336,34.75003521466395,39.499093021693525,33.58634578685917,34.853894529593504,38.50931578995342,36.112355528679,35.94477472577696,34.08313614942898,38.088732607129025,38.90110913962293,35.022936209260486,38.35869923718681,42.396972271076244,43.33467933127973,45.65529257822187,41.545863547627306,47.0671652873201,47.44741900337047,43.05957836019393,45.36468045152787,48.869476608827405,45.76124740900253,43.07502168196799,45.724034898056594,45.74269286117978,44.98122110173586,41.60077188166094,40.35332393562776,36.87846463723199,36.60764249399149,32.79101502613694,33.61509933623785,31.089774530967453,32.56629575308989,36.02551152326407,37.281586130085344,39.16502032756098,44.71120929399914,43.2619928357808,47.610329581712286,46.22634184109567,46.14160350043381,46.19590094355394,44.62791653201653,45.20599112177635,44.27987457671974,40.127686253619345,40.08431475459874,40.31058185201872,43.83449438454242,41.37833765850246,46.432821876719856,43.45239110031915,46.01436601943822,44.21601094295337,44.144235235536605,40.211208762759014,41.342008953116824,37.682033708137574,41.522896187217306,40.66479615006129,44.63700905633802,43.293879539320315,44.08534692246816,42.886888651611834,42.294663122409446,42.791246779947265,39.62565007253724,42.85450254340927,40.81654842368808,38.471091272157466,39.47593547221012,35.55999475246462,33.25651164098032,31.256849961244278,28.058906905129525,27.377487340680364,24.059708991599205,25.403754430517186,21.873107196226073,24.907998647277477,27.60203448020118,24.809178775279825,24.90087768892931,20.733995483029034,22.60758612022119,24.96342366893743,25.05043590950438,29.714904658513873,30.012224386911456,32.730181462765074,36.00527333737014,34.230524570043244,38.612570981845764,36.639664631190215,39.06597820953503,33.28812533070762,30.509062130659053,27.78416009845025,24.783761147455497,21.41641380491923,23.54465027890524,19.965806253254804,23.635481056566334,24.297282657157687,25.14926378820542,28.817053588579952,30.506197860748,28.5215060562675,31.338453049517156,33.17497219692642,33.320189888881536,36.91319180378238,38.26886940482299,43.324122900074116,44.45466551848388,43.51661578660993,42.934404096485245,39.29251156047829,39.85554207157619,37.89856170219754,37.27680379066481,33.304369283758845,34.191973751684976,29.303336031678434,33.00386166564849,31.459055202912896,26.64380038034029,30.45693053151892,29.38265716896484,28.577378059234675,25.53029347212702,28.30529531828071,27.472450371559272,32.16542725488145,35.009546818128825,37.210257461915646,40.389578069048525,39.35661555153016,44.52567308943489,41.5246635574416,43.013582391154046,38.67142551737804,38.56088584854261,40.364878336611156,40.82194907538953,37.43319212294929,38.99057008673213,37.4063959454492,40.359951880548834,34.65243965499216,37.19626955573086,36.25755430144916,36.26457928985766,35.92980457821044,35.558849077196335,37.22204316334125,38.216609250721994,34.982796469691365,38.35527966598166,37.57401710240862,38.28714308556501,42.03549112096604,42.45954087095633,38.41577245901813,38.79249116505109,42.9229813622333,40.34720046385401,35.85339258270086,40.499118393740446,44.298996716961284,38.922407959164595,39.11784564007185,43.060655504545885,41.83171167227644,38.03278612021414,41.298301962243,39.86213407174414,45.04270757586289,41.599070264979225,42.78036361207202,46.89086168657471,49.912683481058714,54.12152041432498,54.56976416552977,56.20280222982506,53.68339070973012,55.543363792206826,52.85828095982726,55.29884248938977,54.306305232344,48.33353423390997,49.94931294185885,51.80638475951453,47.812813493558465,45.31597485920274,46.86669265673022,46.11240380400041,42.63378298676553,40.42921739341537,40.477367844470066,42.880968837120996,46.66097602263764,48.08775966529827,50.42985369714563,54.42365532363913,51.58049917217955,47.501624978874204,51.124074248637854,52.191553723151124,47.301283259137946,46.71882999206095,50.1313977204873,48.815395111993894,45.62403094209036,50.05633570166786,51.41464551398181,47.717736225341085,48.136145601450565,51.83161158376364,49.78031910568447,51.854561166206764,49.98845715934436,52.60175568999352,51.795740882295135,46.157266578785595,48.10523799317628,49.231037181670985,46.31857598116989,43.439235325255446,48.27298109643404,47.00623128338267,41.6442103049411,42.306685517946,46.42514246644235,44.29980883262194,40.360630579327925,36.667509478328114,38.40558072003143,34.712539369310356,38.56446487427513,34.273275627151065,35.86976689078059,33.79174565109335,30.889410106624343,30.695264783738196,31.083790885728376,31.197925315248753,34.90677082471575,32.09900398830939,34.40643486584515,31.353214010463166,34.1622413628823,38.50845622351791,41.83653511067836,41.87900357249315,37.05053610451377,39.198334435916315,42.29777428604671,38.191540027345404,35.875828051257365,41.004051940860045,42.91957934692197,41.568060990033416,43.2362810554389,44.34712212692949],[34.53918748269495,32.10352931925281,31.579478171631347,25.147045716077315,25.108256971157697,28.557377609927723,27.712342498087384,31.99148055485926,30.913868001597198,28.73080800226169,31.48393427725046,35.37160388198474,31.595528063007876,28.984469453581248,33.397512486629346,34.29220288055761,29.96028534313156,32.018326624695355,30.17196846196857,32.74807754545281,33.59920172084685,36.35343718281735,35.016885728288855,32.4349151552887,30.8576950604922,28.580226022735264,28.76839380806259,27.795712250509016,31.64376715844629,34.371525037322826,37.822407499045525,39.31030986906581,43.335536152631924,44.83919319737631,41.740207044284894,37.9836512338715,38.40191564275902,34.77413554271443,32.95891223137404,37.467157668484475,31.74080750091311,33.57950369398366,37.17583909632966,34.562388904656146,34.684373073245034,32.64936000108953,36.68452057739135,37.30545720755006,33.05351001080187,36.316717050836594,40.372355652318184,41.10965470500411,43.61201639960063,39.45517370741439,44.96234830670456,45.73367451342677,41.4864681598748,43.8964857959228,47.48793664857737,44.437219913071395,42.103218676612364,45.024415147888604,45.08559018436987,44.721048012842076,41.13841051297916,39.654266505094085,36.745535993347985,36.31716878649424,32.9417752398773,33.746254245143334,31.533030447988516,33.49250720787577,36.55650569626409,37.73148725051179,39.13346683061763,44.75351159278921,42.825774563979664,47.103320906560775,45.37221492968689,45.02530896021546,44.71419982178513,42.789868909672606,43.12811263174183,41.89537306581545,37.790273818989526,38.099464034640015,38.77095966865252,42.30079892626842,40.35422889293157,45.58065863662497,42.94158527808139,45.89063537203856,44.04572569731952,43.75879048090254,39.72118253930235,41.14901089667864,37.37790889438874,40.69120094607199,39.55626743943499,43.25766001068447,41.757604223709855,42.03073059436179,40.823584385453834,39.77217257872026,39.88994524369106,36.607361476266995,39.579270469908224,37.27986743422077,34.961006191374416,36.2762483642124,32.498878991936515,30.407934639325795,28.83956093074015,25.63439728386762,25.679172129801515,22.315833812814066,24.10587609251958,20.63293652625047,24.544605277941482,27.05918268873137,24.419416583878117,24.200011455627696,19.653549256357266,21.042126083386687,23.08021391425894,22.39589375295016,26.89474456218392,26.861397211718394,29.313191480012957,32.60034853194905,30.430198693950864,34.77078305134654,32.81823877338244,35.528948737582255,29.67387713756921,27.161968894289696,24.032342047109694,21.424243836797057,18.394263483028745,20.86918787906813,17.690226887047437,21.711085673039342,22.744079522529926,23.183101193049637,26.89261706996346,28.7134021938583,26.555832238584532,29.37270182571797,30.884233719227527,31.24308393348004,34.56146209344929,36.36112071977579,41.24827482556532,42.757233355818364,42.03919745847002,41.19086458786706,37.57144979292396,37.69538158173293,35.96962236729335,34.746734107702885,30.65190581484195,32.0191868154452,26.811744836097407,30.56782189064875,28.540220612551092,23.480366596040028,26.96735281536298,25.732267977043673,24.64104839714566,21.782668384677013,24.630967031456063,24.191508652387913,29.088220224560175,32.136538412230465,34.62150358456324,37.83398817656381,37.23589169436651,42.22480451771729,39.10551966214524,40.3174012782872,35.783531903081354,35.503917636793105,37.02888946302457,37.39537882576922,34.122376409051995,36.08810614004374,34.910903139907745,37.736629263109144,32.15985859602006,34.253645802385556,33.03237531340146,32.94305945893838,32.24648175232414,31.718522570096425,33.253784250507834,34.08212905594562,30.8758712679745,34.25418723546145,33.50151948324957,34.457960556253624,38.13439707419234,38.81002424444088,34.8272258356962,35.01763597355198,39.248012234688346,36.944310983391276,32.33970916399578,36.94133998865543,40.96687875428295,35.820709776939786,35.942079972947596,39.93979445667979,39.00154294935182,35.282514541171096,38.41298540276061,36.7275956563815,41.8924840461427,38.07967728966256,39.196931991304254,43.35933829837393,46.14724869736715,50.475631577434896,50.68945874180764,52.30943746988592,49.72797536762904,51.546472502321244,48.91166201852181,51.202713046692566,50.179067287711185,44.26643800300704,45.83965959524683,47.5616154033316,43.58207623952088,41.11421389453986,42.60770139527891,41.776754727141004,38.342100960252075,36.15334945263421,36.334434754547715,38.875464917662164,42.64143054457755,44.19623832529374,46.65774709578626,50.739210597914216,48.04426940979631,43.86154655909563,47.551383803462954,48.82666589028874,43.9935137626485,43.30771847608142,46.912301678063855,45.788657636959165,42.509242709807666,46.82090382462171,48.40375008825405,44.91142767555382,45.074383451714795,48.664433050899234,46.434023233826046,48.3492250087609,46.3908288816849,48.8334037358072,48.12494955701519,42.52072042645273,44.24785017451101,45.34037493877055,42.51590725738651,39.49092849359798,44.19181841955988,43.010840294913486,37.67904007571427,38.15316491825223,42.24897989854433,40.24267201314248,36.32367017794066,32.77905381920163,34.51607886214943,31.018210780202363,35.021725566744315,30.860423263377037,32.3597968933958,30.618223378365357,27.67151500994869,27.139825540093263,27.296300184923712,27.22683778030955,30.973787285722594,28.36674875071107,30.605307412156858,27.88417571113411,30.903463004861113,35.310173887919305,38.65131607625278,38.987919014801,34.17560874962022,36.28276419327415,39.6212862678519,35.78581912557322,33.3881179016201,38.53276849650099,40.69148025648393,39.505907408361274,41.187063160277496,42.34942845630971],[38.780158842986566,36.35911247786953,35.86529506369263,29.619934611124883,29.63041456687481,33.39975788063228,32.68844725248864,36.9947401710136,35.990626177647606,33.78468155680148,36.500403870956234,40.40667094459289,36.52968307178198,33.90693479691129,38.19472167396791,39.055151424948136,34.61002471861774,36.37305019458218,34.08225568097317,36.59581283674742,37.0233311261549,39.51464703398949,37.87619703940319,35.025942018635405,33.86707126776297,31.982363976784917,32.50126630970564,31.977502420181672,36.00660179477722,38.95483918622508,42.33984275690758,43.99921769334024,48.01154228451572,49.290323667906414,46.160530044146114,42.267967824400024,42.81751676450693,38.809819643644225,36.826670263273094,40.92740592318874,35.01791975425455,37.002313703309184,40.32275369897835,37.39509630243355,37.0628301302303,34.65185585752184,38.501967589093205,39.67466684279206,35.40702089516,38.15902531418724,42.559780275310715,43.44095403283003,46.16729448721411,42.42156828022033,48.03324098871372,48.57161813013487,44.44052137075189,47.23855405770657,50.58070158986957,47.14567679602164,45.05083760239543,48.190894103557895,48.57069469671353,47.86645293907172,44.21169862568262,43.13833176878923,40.26388366097133,40.24061597758171,36.82281995893527,37.96849855280755,35.61663237821243,37.35983398264292,40.56592985482438,41.43816447429936,43.17445416283336,48.58829133285943,46.64289526569892,51.04721430802854,49.268292867252974,48.709357139311095,48.64251402652534,46.52961262111413,47.17420469774348,45.671656518163886,41.50356953249639,42.119016082619865,42.65258455537864,46.4718253982412,44.37561614765384,49.77553675676047,47.141868036616344,50.02043395836457,48.382628099251775,48.2998522912487,44.388517554310766,45.842064742470406,42.169554800496776,45.53945907366219,44.50540581130848,48.27433476635569,46.61460633737443,46.89559106991822,45.50083875787983,44.42786048648001,44.19880860100794,41.02187138485438,43.82173344935687,41.29448916298224,39.11665410621356,40.69772358794509,37.072526275664124,35.04676741892804,33.723447107476616,30.435703740398196,30.56669927255689,27.08946367621042,28.65246370255148,24.907785117482266,28.432023188696853,31.38249371642783,28.888334348106426,28.957645024877163,24.496722102055315,26.028383609222377,28.120839827387336,27.19862071092195,31.648494214297344,31.374761790177505,33.58891070729099,36.72670328936942,34.178824103978165,38.35341037724806,36.19019661059341,39.252235467267745,33.34043867715422,31.23707148751553,27.91200668320934,25.605652805149155,22.781833005246135,25.096394776675343,21.47197453490143,24.902225718408207,26.468170067519182,27.24928111618401,30.76859854903107,32.99519311456271,31.02344425456609,34.066783237129506,35.61806945906987,36.17419821653254,39.45135707015128,41.382310016923725,46.22517966380024,47.79677639047103,47.10400923615576,46.197320345935864,42.54555204379255,42.57705236498618,40.77889146434612,39.39774248737653,35.05864758158949,36.337439580615715,30.917204064248228,34.37977724041391,31.943102572253025,26.613849530585206,29.948373166179035,28.06923481072025,27.257484197701636,24.914397089957472,28.013562412462868,27.98205970016566,32.83751461368099,36.07838363483638,38.734756839408895,42.12506423398265,41.70827301519062,46.548555431942205,43.158243765768624,44.33166396218869,39.51263772522845,39.578187764563374,40.605293196231926,40.616511373254845,37.41379644080791,39.222656020019784,38.15583332127756,40.49419401877635,34.66023353248804,36.60234332347461,35.17355781528593,35.56250816226991,34.78904204230038,34.500422417597875,36.07762495123037,36.79927655033742,33.96795015921214,37.43476953713793,36.80609656140729,38.22201653508361,41.70534401380347,42.76223848052519,38.87320302040458,38.675245300921894,42.988673207939435,41.00252479321579,36.113742473337325,40.549392082596455,44.89118944719404,39.83955715315598,39.66001660548002,43.66470598083307,43.04512715949798,39.101959138277614,41.919345874701214,40.07178429740069,45.210884411064896,40.82805789175446,42.29985698035068,46.50140798914981,49.04021602993581,53.43384102606352,53.45730850040948,55.35642118209741,52.85292797521774,54.73967883628347,52.323185600377556,54.303042231302776,53.078242555604774,47.37754821386941,48.95387923283536,50.226480965481954,46.216902538531635,43.9718994021421,45.27362795279883,43.99577921729729,40.73951733900235,38.8020044537033,39.3928785928214,42.279500455647536,46.00181759998664,47.77443748130717,50.43926745666398,54.612626453381424,52.128351708604534,47.83034340158592,51.5200608464492,53.04998906916207,48.29377090517337,47.415496584149714,51.142083425595025,50.163836549914556,46.73783799021823,50.86952096877174,52.600225929154334,49.17410057765753,49.038441026261,52.527261641863,50.14746624180429,52.05520702235129,50.16321949435484,52.34448325735711,51.52348553214776,46.04683839304287,47.62197484188554,48.41195336275828,45.61542250121604,42.61558310815633,46.95240564094018,45.53566947717538,40.39253905362563,40.76368915987318,44.462305300725106,42.306544917623704,38.529592702923814,35.29526561410853,36.35646483780948,33.05259897807283,37.35195223120821,33.64751176912573,35.576619645404755,34.307479010181176,30.947665136784966,30.343514517460957,29.98970081094096,30.139451766349158,34.17020438865055,32.153610075770885,34.41988485393804,32.14292060293112,35.20942863061732,39.741408905049056,43.034674207873465,43.61691416137384,38.801760596533875,40.726816033983745,44.227973785227185,40.604190348568416,38.010586879401714,43.040262016143096,45.38048081581982,44.31791654805491,46.06036121299003,47.25254150695111],[40.81133191027911,38.39413442956015,37.82513500614315,31.39846772825096,31.096321581126155,34.536167368267684,33.37353711489709,37.465859657782865,36.218696936134116,33.56169797032919,36.04409358647672,40.025940019334385,35.90280454926347,33.143700493993265,37.10394629122337,37.96238370470686,33.39984497098196,34.704523582411866,31.95235068253199,34.561155448778806,34.61654775423888,37.07887486087154,35.19274621735918,32.29424526556834,31.455606355410882,29.667223369976778,30.611496878760256,30.410183746015875,34.53985971913348,37.79173835167211,40.80970462747458,42.88539053231608,46.768206564703085,47.71568352199629,44.68634937271369,40.65185101777268,41.57625646184984,37.24738468878759,35.346082824284295,39.39888177117861,33.28362094184516,34.964994707064434,38.19218209465436,35.300890388708915,34.661021731832605,32.2921446877609,36.09070181555418,37.485215071377674,33.49980388249351,36.229320827774764,40.65232189497957,41.73685777714951,44.354608867336715,40.75920196455661,46.414715517338955,46.57903061852302,42.39409768892297,45.25931430156691,48.44449591888907,44.86288232934898,42.63581346244165,45.72254372374331,46.234202632695926,45.21461069391174,41.60833894344718,40.82989487248778,37.78854688196453,38.078756415342944,34.563405547612206,36.02344804930071,33.543702662166524,35.09846197939127,38.380547858880455,38.97696259749734,41.03603244575553,46.248709587273346,44.42092478186334,48.923653784805865,47.25094782380422,46.69038733014393,46.97658932372181,44.989690064039465,46.009473901004576,44.59492522244437,40.35001148179854,40.865296076972726,41.00301848617908,45.013729784995284,42.53603898785102,47.98060011784558,45.238795851149995,47.95006208798867,46.533721817029154,46.729568776877464,43.029527540809646,44.504775995671785,41.044958380917954,44.5545877214531,43.8314267977391,47.92764648325956,45.95149306112782,46.68945455459008,44.950924584378086,44.34883619112779,44.12308251277765,41.27572803852503,44.324038260309024,42.01401606807369,40.10300986602315,41.41889330015544,37.90089376928602,35.40150641458329,34.02146784420574,30.44963659187552,30.08733808592484,26.45095705601352,27.481531225891953,23.479021330059364,26.351509840785518,29.69445934460874,27.361155556272255,27.88863780810919,23.70426132912172,25.712761953122644,28.27654984359545,27.530137243202958,32.472622097576796,32.04908649975009,34.44170062031048,37.24892710150741,35.15553706420575,39.260375941395054,36.80188443791329,39.58299983726376,33.73394549792691,31.51753523359087,28.828935267127232,25.973929157817544,22.836960960828087,24.611660095812326,20.359688778978715,23.235633716112666,24.799750780799727,26.05267938216023,29.40322065320378,31.822874656019383,30.147333177875396,33.45517899541615,35.36666286794302,36.14128810775319,39.722090130893534,41.60618212050448,46.51904805090273,48.197056712264626,47.12387790281011,46.104932252794114,42.29813977569104,42.52852792728463,40.323079473678376,39.29825305042596,34.74818091014755,35.4730056747052,30.162317339894752,33.37692871901553,31.212228726042166,26.06148200678211,29.773564806845478,27.99825856015523,27.72686468052829,25.18938394369077,28.29066155670773,27.894265772917283,32.4703651963113,35.60319662821879,38.08309101852967,41.59816510140885,40.95000134084686,45.8018822326176,42.294361892933544,43.721582509607984,38.918469591963415,39.451851715514316,40.49769269584526,40.45314624896006,37.11607669940704,38.36933352462603,36.93544547833412,39.24100840720622,33.23815244387232,35.60678595781218,34.4851826951521,35.07216046931717,34.798812231439754,34.84118528698404,36.70167023219763,37.80978764898684,35.160808797133924,38.79136473440689,38.49178589522269,39.66807976768764,43.464384389749114,44.3382433454612,40.42931338070871,40.65935212828795,44.979764590770564,42.86988481349965,38.29627900882573,42.85725193473334,47.00021395414301,41.98858377147246,42.08307289146232,46.094799179716794,45.24845833139432,41.52897969671724,44.578979496120034,42.80138075595349,47.95095156004645,43.79313449535925,45.01357998923025,49.21114387628174,51.75636482000229,56.18173203934722,56.142928120955844,57.80413646845522,55.1333612333083,56.82767453621304,54.167957751918905,56.16591156817657,55.21424942989707,49.42859559980259,50.74903713254056,52.1966837757828,48.35954014696046,45.887775116124715,46.98998795624773,46.0919589487058,42.945458270314084,40.511309631315996,41.3020809875219,43.69955963969243,47.506712882110634,49.43793861254055,51.85522809028074,56.11857147325152,53.36723905668656,49.24811642826664,53.18477038602089,54.48201535952123,49.66030759642495,49.127145479488725,52.8525347390784,51.79442495104328,48.57387717265415,52.86623455810308,54.53354269689286,51.11750535591995,51.24456740166986,54.78894048904098,52.47159913861302,54.2608128911319,52.18030407880422,54.468971818150685,53.905513072508214,48.347954441305106,49.80117465807644,50.8622374177276,48.15174892605924,44.95481365769588,49.38305812610277,48.26349646110482,43.05115343220533,43.20053354952456,47.098703069284845,45.18888773480852,41.38550545958553,38.15787496096313,39.48761905677592,36.24989051914858,40.50477809817539,36.63454645872971,38.26227648254555,36.76582828379061,33.70261476847908,33.02240442579375,32.844411144095446,32.693526115782184,36.51143489464452,34.08281897073283,36.02986649896595,33.486883702796874,36.83535818339829,41.03837646436826,44.48544382040489,44.73429654713201,40.05323400465802,42.365369723016066,45.67630953495308,41.69622297762662,39.5385377587069,44.74150025073004,46.81539173368414,45.52723699869128,47.097736898635844,48.150418347486465],[38.42667239621434,35.82796527904646,34.937922595898435,28.544798785215573,27.587055756787,31.08262665497625,29.57900958162712,33.50606826312189,32.47010083281264,29.638867623132704,32.210737894076345,36.06053146226082,31.66565185887965,29.222713464714577,33.09207465304879,33.70535763722575,29.05571404220347,30.413135790166912,27.806845137381817,30.158611607103506,30.431299044915477,32.83445221134501,31.194651933203655,28.35080529839054,27.179361599281883,25.379365999805774,26.030483174460308,25.820786518696636,30.00008682646815,33.23970980071573,36.567812725683375,38.42382126109933,42.40160427949647,43.33713634941034,40.16308570226578,36.135140065156286,36.89812731151491,32.54704570542786,30.571290148552514,34.642721576127606,28.596722649171504,30.42069438295061,33.7123637569345,30.852199714276747,30.49849825683847,28.245133785638213,32.17955762270082,33.23255933029483,29.138293432704057,32.13895060547559,36.395872655573726,37.377264918598286,39.93144911478286,36.146115697598944,41.78167441747918,42.119429106201615,37.92325660998131,40.69396060669518,43.98966396974921,40.572256610588624,38.37122130759033,41.50935782131439,41.95661052902353,41.226503544264624,37.53095590225954,36.524706602454465,33.77678312793513,33.93477725505012,30.70786548535735,32.19675720820619,29.93941251337329,31.85927570518752,34.813082876599495,35.32459224531393,37.05126845293818,42.3066971246148,40.19715363204501,44.651874492080786,42.81195397177277,42.170090421235045,42.291381767101775,40.228278927828384,41.172993605627624,39.742379369937055,35.504536406260286,36.04433706817778,36.30078737550919,40.30371213091099,38.013731912128335,43.534249661800494,40.97054157445379,43.90364989169316,42.49257243341725,42.61453765003158,38.92541357168647,40.63047763353207,37.200235005578854,40.3783208872976,39.637026030403504,43.735420259377015,41.481548274102835,42.1807109486854,40.26564335168191,39.70554013948668,39.37492993905245,36.66647915907602,39.79305334316043,37.592560233943345,35.86838586350335,37.056400450156445,33.69277338989841,30.940949367297474,29.739755582244246,25.98946507516832,25.708593646142557,21.978934682749166,22.986865645664754,18.942366230992814,22.18807894208401,25.47520577471827,23.318397669239115,23.843647423486935,19.60473741445401,21.592268101180153,24.284161890763446,23.230261898826775,28.434015855104974,27.73906211199121,30.16527641314608,32.7406063452732,30.936560184691174,34.99834997782762,32.430929526692935,35.00197269980672,29.206027596918545,26.914160940389685,24.61189547352904,21.458735481984142,18.24449827167153,19.81602696789654,15.506317944176462,18.513463311741464,20.094584709456633,21.24741226896409,24.595787597960395,27.067511523005233,25.415623400352768,28.825483695529186,30.764295739114615,31.7876078902831,35.407228419476425,37.507962773290195,42.33865056120549,44.34461242766252,43.12680040901405,41.8528121560381,37.97402278881968,38.079279724024886,35.76322403408003,34.65968373365049,29.98231518756352,30.656188773149985,25.307186823920937,28.510833501138094,26.412214415878918,21.357537951863645,25.221380779059523,23.75545254135879,23.576116276594938,20.7712510728627,23.789713705615775,23.176473800778634,27.669461971485635,30.76370147628708,33.22413241473628,36.766296896822894,36.17089029786704,40.96692854433067,37.42626760741247,38.86070048929998,34.08046808739599,34.680950636291,35.7880678658945,35.8217694395763,32.429779237461,33.644843111428955,32.17317332573198,34.64723327040236,28.743531842911384,31.18920960429451,30.20247034388736,30.59292443359685,30.48201550064915,30.54378832632318,32.51145514442355,33.85807988992767,31.20892907856498,34.90835388966862,34.845629810919725,35.77253001762138,39.82980688278263,40.54829461523331,36.66319398105372,37.290527123446026,41.60544176408826,39.466299396373856,35.261593681848936,39.91131994288251,43.86549216602185,39.06666917165275,39.467952400778785,43.47657060327998,42.51920658006053,39.18680646952017,42.433652876752525,40.627429185406655,45.73121020820691,41.79395882749244,42.589021269186304,46.76395247735484,49.245964817539125,53.72389972672681,53.56178004210512,54.87924048322585,52.00868520090879,53.48004735359595,50.5727190649123,52.62444933207311,51.967478598299024,46.085502386990065,47.16494554944616,48.872285024713,45.21469302645137,42.48969638264572,43.48523004159898,43.057753295761735,39.96064448226547,37.034565391891675,37.878110235362115,39.793212025022164,43.654378998117664,45.68500274382923,47.876943679403134,52.20608053996765,49.261720788671916,45.291047646901,49.44814784091489,50.57943437986418,45.7415536032676,45.50747278590751,49.28558571384064,48.242129035190594,45.218567881417194,49.6032109575686,51.30043310603963,48.036740905103024,48.328200013785704,51.861105501930005,49.55211498982375,51.12260829598505,48.80811997272476,51.17034334546391,50.93917329117305,45.32306162927476,46.58014765220966,47.97155140789253,45.400212001055486,41.95603380962542,46.50237846892856,45.801451864798885,40.50976157984278,40.39332604996787,44.595539030301715,43.05176462483019,39.20444638247969,35.98053896082956,37.81903346505749,34.72395125743262,38.865971753978414,34.80276993074453,35.89880378809701,34.273166987028716,31.660923305827094,30.716217209188265,30.73787938645942,30.109867580016534,33.58812031371797,30.736076729477595,32.31328262293581,29.626440764689,33.30159840152632,37.157443232326386,40.7287456073914,40.802865973710354,36.2947670175797,38.957365925456884,42.176172279390116,38.043564808386755,36.306687998156555,41.65555678598392,43.58300829375878,42.18407999572594,43.57942529772598,44.534825408309636],[39.15192186418007,36.40418176834659,35.38060646028702,29.34156290848521,28.31776722052183,32.619076022622785,31.552412867244957,35.67029969730995,35.139233700267745,32.710211991956335,35.57579974097349,39.26620238756547,34.89654828979281,32.81269864975314,36.86495546441101,37.28619263322685,32.644989010310255,34.25239946181077,31.841015294636914,33.80835232407929,34.171404637713884,36.22150142669399,34.69943650652355,31.687673561716483,30.449890401825098,29.034044207265747,29.34550003712114,29.239885254675297,33.45614371012445,36.525084694839286,40.38502640072166,41.783427954296734,45.93620901135034,46.990037858525206,43.59311928339165,39.62200376485903,39.97220934043836,35.61074315483457,33.32174803165019,36.92427513380694,31.054952764003172,33.485658584392176,36.54695308335375,33.33437526273333,32.99661473243694,30.347883277416997,34.13055441161946,35.353470430706246,30.89270976972374,33.414438803606856,37.9050552110008,38.751599002521125,41.637512411354706,38.08208952805634,43.7171916007046,44.33190536659412,40.37324728835722,43.43317621388069,46.66144472320567,43.10344475911561,41.388477462387854,44.84565714528619,45.4663671951797,44.90486470940523,41.05022227718511,40.045625408146336,37.758883518615804,37.923903052305,34.98551751124374,36.47746019669948,34.37678180221763,36.47261005946511,39.267474556448654,39.70415271525664,41.206088569754776,46.43733288680966,44.00980013391625,48.42162910218378,46.30906819224549,45.374627895638596,45.25427873201052,42.7883909995805,43.58896860665509,41.733550958336195,37.558698696559105,38.59110293384174,39.24078992912026,43.304533026878964,41.4418257714072,47.10615853557494,44.81211551485776,47.97806173103878,46.56030741608726,46.54053235270195,42.77698580771735,44.622148048947054,41.089524951803085,43.93792837119047,42.93477344019476,46.719878793188755,44.47485505115473,44.61905345539283,42.783345410346335,41.66956131487477,40.8659659652781,37.988873260951785,40.67865644969996,38.03683910633837,36.29255188108217,38.00536367177916,34.78861123622153,32.50441121157499,31.76168950553857,28.16576762122926,28.654648350741354,24.989503491818304,26.414039950510343,22.487172604774894,26.254159972577778,29.424180265379846,27.35984898257237,27.607312779303093,23.125485709223586,24.6103669328377,26.829165423830823,25.107853592866846,29.829057108785978,28.868150745989098,30.838173428092034,33.484416648609766,30.90149749192075,34.83214858154793,32.2867341038984,35.45651638233608,29.565498405955385,27.841928607315687,24.780212089378608,22.470630779758434,19.88096197839195,21.86648726034807,18.02633630474308,21.046502085500975,23.209098710825568,24.034034139167947,27.30130819586645,29.976732463412525,28.196753896447778,31.54674524752152,33.0858536226967,34.21732423790978,37.449088949028244,39.89820268626854,44.54672311950808,46.730470978158415,45.87493946268346,44.49186621754242,40.715778166841176,40.39791104307499,38.42190085342439,36.66074064580018,31.907302665678273,33.13163492789586,27.444519766246135,30.567967246740228,27.710197808171404,22.240364255862694,25.479770156066337,23.31526749477002,22.861996948259275,20.75294427844752,23.995243080229436,24.194410767723085,28.900579739982124,32.302114225127774,35.1459852216762,38.73331130658661,38.666529936828645,43.20753675650207,39.49449602026673,40.573723727669396,35.488851959939815,35.96428898591819,36.50262952323964,36.23610294294816,33.07079910569775,34.741387819487244,33.845768670653676,35.85521108470961,29.988579415479943,31.73759304611016,30.219922801256796,30.817982247410065,30.116696026533766,30.079753951937366,31.834506670467132,32.780946265969355,30.353078364704423,34.032728586403884,33.91768463952323,35.462740310865065,39.16336646335289,40.40856890182777,36.649561727259304,36.66075652269824,41.084788724226485,39.406005944566026,34.78698652567831,39.21856787317587,43.62250537903045,39.0183034150736,39.03226430423215,43.06613600353536,42.612808622058076,39.07262768705823,41.90859250814377,39.81290485519364,44.87406615139428,40.22058074328249,41.33089261250146,45.5597488832843,47.712892856488324,52.2898723253886,51.87389703166726,53.48964513254436,50.71626331169391,52.3003737492533,49.702025625442985,51.422728614625036,50.47021548879424,44.8252869523441,46.00179872177406,47.206483469856046,43.45727580459535,41.02282314966105,41.931460618155555,40.94508710653973,37.96024123143741,35.463234136379626,36.607367084685535,39.10687245424588,42.877567665222664,45.066793897530054,47.60436956026485,52.00185596902841,49.44350439990811,45.24017972505718,49.30349400473638,50.86090727692063,46.15629743073314,45.54332600285414,49.51638567423775,48.731924149779765,45.45355418407178,49.5511823212718,51.51431624336498,48.41625681223312,48.21905311134716,51.58624324367752,49.0382743244369,50.561336722275044,48.33255342576166,50.3469976166382,49.97391129069219,44.51613835540013,45.58248944634029,46.607110793307385,44.07571122992798,40.651959279279495,44.8023626481347,43.85633516584201,38.75754707120497,38.53908924997212,42.34841489137491,40.672871544167144,36.95865890546613,34.06172757718936,35.306755702839915,32.466840480412095,36.9175727978523,33.33656684806847,34.79654271501392,33.81624857885198,30.766283266852852,29.597408191445073,29.03262384503396,28.567451359970416,32.362775659057334,30.27361818065473,31.9846431817163,29.982265373594288,33.64776654909104,37.79279059871901,41.2432722401388,41.843160144426406,37.28367883562805,39.57668709208548,43.138999760217715,39.51275782284458,37.35731475391379,42.53126808142269,44.8589467464342,43.76284678061371,45.30049211798397,46.383100373196996],[42.172243029985275,39.503707030870785,38.61721836587061,32.63641795209888,31.896050385025603,36.249826183633196,35.34490842217104,39.52686007213684,38.92356987848511,36.530540133248564,39.34114055667932,43.09796650634988,38.78303484396302,36.56019484323841,40.59456502855333,41.098118438977025,36.44214067132037,37.900482483115944,35.25075114401157,37.29337367281008,37.391624628451325,39.348074236193014,37.607028369254316,34.47635912023478,33.555512449641746,32.30685758464082,32.87840365468736,32.95545474937036,37.21528013220934,40.382689489865506,44.081122881295805,45.64576522893625,49.75176790486713,50.70764431599851,47.357647941353534,43.32853920805363,43.808215539057414,39.30257904322571,36.99135866358276,40.40746402196025,34.45934567170615,36.860856925143906,39.7669684800994,36.42994342434206,35.77820446532776,32.94514304703498,36.55861513534507,38.15699684660372,33.78080853043117,35.94809935422202,40.62299624290453,41.573524314580794,44.562008089044724,41.28876288881791,46.94749753992015,47.37730442382776,43.4908529176716,46.745468442021924,49.80750013103407,46.025104213107696,44.41070605746427,47.93246342894987,48.71815078906997,47.897670397426786,44.055826186759425,43.321921570498226,40.942149073303575,41.32898269380622,38.26792908126043,39.89058453248596,37.651342502092554,39.529008842697024,42.497310516419056,42.833708521467464,44.59808267920584,49.71941065628962,47.39064230636476,51.87020405749273,49.804183914682866,48.81149437010713,48.86883105394361,46.36436889294974,47.33312295377269,45.38457752001742,41.196478664378084,42.33127047083137,42.85856291939797,47.04035156125386,45.03409361702544,50.735105466538535,48.37702118395656,51.427613017584854,50.10014339341127,50.198463969558745,46.48669620737779,48.25971185361571,44.757125996623685,47.75904673189007,46.81324503072155,50.63800168954465,48.4232926246988,48.60510233599959,46.75184195161172,45.638115314471065,44.74550547389034,41.88101128295138,44.4741661344595,41.723089157485106,39.98091498807955,41.824473706465085,38.61787361068606,36.4421384426379,35.70481326852241,32.14642579430444,32.589699583996925,28.917867240007805,30.240690488825386,26.229774236303538,29.671656817558258,33.032331536168975,30.954617849137897,31.322394010708418,26.896909009473315,28.473321744470972,30.691053486253846,29.052710096544196,33.66513971438489,32.738063872052265,34.61317205107322,37.26562145512756,34.468625163303095,38.31413030617678,35.73706289525116,39.08825113276761,33.208977468350184,31.672793197231698,28.457043336984103,26.357709706686133,23.853452752289932,25.810991744867366,21.831403140481218,24.52667798091917,26.833506992518586,27.848122448887093,31.02347389186906,33.81962150597002,32.1183388585186,35.51278811117775,37.07496191532385,38.18303990163813,41.398182828041044,43.80354742235855,48.47047014319655,50.555239919111145,49.75091886376053,48.43804552708704,44.67100688152759,44.37818783855582,42.4007487071988,40.636549305792904,35.851447952045426,37.02383360530669,31.31341590824098,34.30002858385458,31.308701524203297,25.791521661096542,28.887656108561877,26.38587809007597,26.057558371912314,24.285944416353484,27.589526698972215,27.987941234078143,32.64234468453577,36.09665677944547,38.98537779391561,42.62218743206681,42.591031782994826,47.08573318814012,43.28407770477695,44.35370628171523,39.17301470331808,39.780564162055775,40.0958348532494,39.649993174336494,36.55537664525515,38.12936119072785,37.27946074146977,39.000656098771785,33.030428408906545,34.689237155215,33.06199767129501,33.95116115321519,33.19152631294272,33.26903453767885,34.99158869451267,35.80381520510694,33.57143892524831,37.22679007108295,37.08292619987094,38.8888516505284,42.39667576352068,43.843948410513725,40.130133657298344,39.84732123576066,44.28361998941708,42.74603708636804,37.903234090902906,42.21550353659512,46.797251289486255,42.16399730706397,41.94873457709123,45.97341427287586,45.68570079381896,41.92358964754968,44.55731857202783,42.414657327727745,47.46445478546943,42.50863988215154,43.919249721937106,48.15522879383936,50.21259888057956,54.78314815561391,54.32503013557646,56.18217220782896,53.523047397659525,55.20886022670406,52.803017819213046,54.35683216449757,53.21590730053529,47.728138074346184,48.98172827209071,49.88402812529151,46.08217009427639,43.85299622052683,44.702581774195416,43.35175305884577,40.45818382284221,38.26890785149865,39.567220110512025,42.36440006496492,46.07502820521469,48.31377414458023,51.004147823363525,55.4034335625739,53.007906004730195,48.7208475499595,52.69408798373798,54.40937834242444,49.75324156329926,48.96083019347997,52.95345062109106,52.22233435377226,48.822479712139625,52.806597345376694,54.81499222577713,51.69176096682028,51.318091524698566,54.64119192015555,52.03389600276841,53.627541253244026,51.51638459565595,53.386681446068145,52.84944994070273,47.486347250966425,48.55390122224069,49.32538833967695,46.76815345985109,43.46138651664215,47.385949419956056,46.19104903609934,41.23511101008504,41.06756936671117,44.56022086907254,42.698491286571084,39.092532914451546,36.35573704010259,37.102993968177415,34.32404683982492,38.91281835149886,35.62038527477566,37.443455807900186,36.697808651124554,33.33880472505444,32.255271866611714,31.420402039789977,31.23265891641713,35.23233186772179,33.543752862094074,35.39032657354032,33.608319953412504,37.147143245296924,41.44828312961668,44.826934608018824,45.574780040277254,40.96091390099674,43.056883299046454,46.70396713448297,43.20694685569683,40.833401300183375,45.906987900307286,48.348748071476194,47.33567859042748,48.95740923136729,50.08236408974359],[39.76241176379239,37.06245906016152,36.179956662437576,30.442077341577356,29.868194750010193,34.534961501230065,34.00794396424258,38.332097317313554,37.99819971659889,36.01088758328915,39.0282427575156,42.675052487647505,38.574781922932964,36.5316963218905,40.82984341915959,41.3049829318531,36.77501537004149,38.658724157146,36.47373955718197,38.41292404428055,38.90117680533244,40.907534203210375,39.443323938154144,36.40218472663346,35.127292714490565,33.7465643828588,33.88593270697488,33.634614779617465,37.77170186866388,40.63218712029404,44.68610787276279,45.831456199159284,50.05387207510309,51.323306880506586,47.87756017886814,44.00212023071638,44.11035032410275,39.945450267527576,37.577622335739235,41.059895747695336,35.35763904863049,38.01898201384469,41.03552226651505,37.719385577778766,37.43039170695255,34.63514126864422,38.3165140278531,39.6011208298996,34.97950124804449,37.245871787065276,41.81865334665729,42.54477259073887,45.59342639715918,42.127539393708744,47.7107615445997,48.53255905330896,44.693182046401695,47.82403015797546,51.060717118571695,47.48344988070204,45.96432430444185,49.504212568391175,50.12766103886,49.65493698573805,45.77804133402507,44.715062641822215,42.505930612262134,42.56296980413484,39.620083631316156,40.93878043371382,38.84632698322177,40.93158468969224,43.79048893168805,44.38879603116581,45.8068748489645,51.12136197112035,48.669141703944774,53.03518394740436,50.8654765462601,49.8895939847214,49.58285256298552,46.97869267906226,47.55891948805796,45.55181893285649,41.46025659790538,42.66353229948393,43.57953513414709,47.5451085575347,45.92657116485993,51.564370766918366,49.32716951284084,52.549851667618434,51.00974166173152,50.83432213572862,46.93571606691623,48.70955149481379,45.02639858802645,47.846189025281355,46.61266043390859,50.11710122234428,48.17228456689629,47.918673981819765,46.380364291713576,44.829406584135356,43.933365663130715,40.77832512220241,43.13081945420914,40.19504960536898,38.22448933275336,40.30165267786889,37.03499731756772,35.29572289214918,34.6483814256191,31.36461657992886,32.27535967489606,28.777007431760637,30.572017730805875,26.837773178124003,30.87393110874622,33.83973377419469,31.640482326056727,31.593363158364063,26.960772605572956,28.087752767540287,29.866043826086266,28.026491931381162,32.15758486678899,31.33162837209328,33.015836751650305,35.94262738621479,32.75008762105689,36.64127202806099,34.36342647099979,37.94368593233816,32.04409868535698,30.617726810930353,26.847248556118636,25.2857665948439,23.11975912671758,25.54145260604057,22.222958795708283,25.44528115691508,27.67774081328391,28.223406544773873,31.538384273244386,34.11255445420343,32.144147064049164,35.26904250453279,36.48406008868863,37.41067756281734,40.32252973781931,42.793593745633665,47.35829748255696,49.3893473668892,48.920341826969576,47.67943317232247,44.06516634940039,43.569675086573156,41.97322243413489,39.87378946289201,35.312020739012574,37.00015795337211,31.23655910903716,34.45087740163368,31.255924737951375,25.646022800962605,28.354984311171503,25.84231612385577,24.94617182252524,23.351323297703594,26.599600653623153,27.325096390891098,32.20292139492868,35.72357891871661,38.75377285532265,42.24601271486484,42.4328872435163,46.897506000133745,43.23571111981863,44.060461699982056,38.909135890353085,39.0477967601599,39.37211984098689,39.01290173086067,36.05814487860127,38.178891255110294,37.675331126428155,39.481062862432005,33.74807108818167,35.00186763255609,33.11195454930764,33.73209373919992,32.49167534273351,32.21656357211461,33.64957981574463,34.09490665122679,31.676155112228187,35.159854577899715,34.72008139136503,36.728755084592976,39.95306348328881,41.55910317754492,37.88556970249502,37.238355633397816,41.65729133323336,40.25367273880477,35.180119763579896,39.36355724223408,44.10412795958668,39.49854324665825,39.066884633140376,43.071706172951124,42.999400664204,39.11211632519008,41.53615903641483,39.311793701473775,44.32585116129958,39.17335647276692,40.75138397407219,44.98236083744476,47.007764208692244,51.559152929721705,51.13049409590177,53.15850191747991,50.630490337206254,52.46660431272039,50.261480310426485,51.80668799457589,50.445513430594275,45.02848785575383,46.49707969884213,47.2698699441984,43.32373899082211,41.2823210677179,42.318296672173375,40.66182485924993,37.66338175684966,35.9031988076441,37.00579184592084,40.2147887891082,43.84084017520785,45.93254481638786,48.82665872664972,53.138641067062196,50.97871498754436,46.55009498164719,50.308728574696225,52.22132628145947,47.63943002481119,46.56158190323802,50.55749498388105,49.912337744574124,46.35718157165212,50.18631593944036,52.262053954936874,49.17190816292443,48.566454052885476,51.82167100631252,49.15476455441048,50.8165658253761,48.85007420646678,50.62094737416048,49.892339673376064,44.60889742230717,45.75186783468847,46.310712760660316,43.69956766070538,40.54281901985582,44.38694046718355,42.97291897747527,38.07680618769724,38.074159142523925,41.41801210831713,39.37724920024927,35.79112067185524,33.06643951708281,33.62324205426194,30.827502575605514,35.45560792920847,32.321316780252005,34.338767524845366,33.82909119612362,30.270096271341796,29.18668716128864,28.177452849510797,28.19472914909316,32.34512450824951,31.02657394589672,33.11346331284109,31.6014326269268,34.905077400019145,39.444824858759915,42.67892365822722,43.72247565921089,39.03384119672304,40.80428849945991,44.60719977714366,41.448139142349405,38.74559028054704,43.651251110295995,46.31629492309506,45.5062233970153,47.25448512482394,48.490498039583606],[40.15956911041969,37.703580683757956,37.20591342339016,31.44883121960911,31.62723565554467,36.0016642832396,35.80171025562106,40.262536914379396,39.67241698555408,37.903825987786895,40.84513371400358,44.60903174824044,40.85877517805713,38.498682157446666,42.96645599488751,43.715137075187066,39.31745509314562,41.321423357208126,39.21771089516066,41.47903501658071,42.00317519890871,44.261854086830496,42.714735543882824,39.74649432576764,38.5302619015298,36.88937525781027,37.14790806852781,36.65022338810891,40.67991332897026,43.450570112738156,47.241987376926076,48.5159685835147,52.66224583962517,54.09527942884967,50.80382161076434,46.98099738818591,47.18293818392873,43.238008287102474,41.03379533255281,44.79662637277203,39.063386157842466,41.49466912959591,44.65873419931041,41.479757046543924,41.174132177910835,38.478222238586824,42.193670972373816,43.487912938833524,38.95410604784254,41.315973718862104,45.870518285576956,46.618009240252306,49.602551880373944,46.04245585931582,51.62157960677424,52.41044136935165,48.476400546248136,51.48017064591594,54.78285525007926,51.25332248683516,49.53337319945884,52.906972729511004,53.39957047955723,52.83392006847063,49.06452836803237,47.97000940772443,45.412944730751924,45.36024899756761,42.125300852774714,43.225849341948404,40.97980555155001,42.8402031028351,45.96005080089641,46.83162444081092,48.39487732175595,53.82661360468786,51.663602672387114,56.02890864402822,54.052036475198214,53.29082105966382,53.00245776697104,50.58518816007812,51.054794758972015,49.231493651640974,45.14554998612656,46.1284722763562,47.00250925724325,50.824010942920886,49.08647191890721,54.572203634544714,52.13242921348743,55.185529388996514,53.49961770260822,53.26957896925279,49.26491570213576,50.785857844428655,46.99977712590783,50.13516083382892,48.849301711316976,52.29470987179916,50.76114847534993,50.529373579640016,49.30660021617521,47.714157028232655,47.152759996396675,43.77508620407714,46.13765319704901,43.2276839440615,40.95573921562035,43.00910915007478,39.49000394135555,38.0021295191007,37.01850549099927,33.97270822451404,34.726574476956216,31.361906015886834,33.274953594297855,29.65410693061479,33.571389836161345,36.403367874100546,33.940773648047305,33.75908728102707,29.13194800624938,30.238304937844998,31.871089559696188,30.497489781635572,34.357479317151245,33.97595069138238,35.75913012029986,39.02186873013218,35.764574559409255,39.78569088118564,37.78765873704149,41.35796734576555,35.452730281967476,33.84076201492774,29.829561763141662,28.367438102333452,26.112066292328624,28.761151724796793,25.577534972828886,29.044110329539166,30.969813780173848,31.48138936260496,34.95266627147056,37.270826037035555,35.16996535040639,38.092135975695165,39.271677839339304,39.82019116229354,42.70312934628107,44.852790128048916,49.514829200315965,51.12873977196198,50.8350658441819,49.918489178185055,46.41231994632817,46.10330303929804,44.674821549402026,42.75671472281816,38.469040742653,40.245680934905515,34.618148329946486,38.042609219072915,35.04686332233769,29.48742945273131,32.212573998354756,29.825902653052598,28.68788096013678,27.01023628294299,30.17296040078631,30.817981410647597,35.80458668228221,39.24979207888751,42.19619171779381,45.563806635486216,45.575827978972875,50.212426265244154,46.74378425983052,47.593375193645755,42.582699310888266,42.43789336783888,43.0217834780373,42.811501390531554,39.860890663523776,42.111456653160964,41.548633530300485,43.516340053833545,37.79013875023716,39.11368882747729,37.23383338673432,37.74886566460765,36.408080225625476,35.95980399181106,37.23959640523874,37.47084818236803,34.819036593904265,38.12006939987335,37.300257012655635,39.30448744017727,42.28250244316349,43.83531825713778,40.11175289067072,39.19915645113976,43.52206523143082,41.98691451015143,36.66790885217925,40.77012437560498,45.52428902864198,40.64922377854164,39.98550915356746,43.940984413724195,43.85346034723142,39.63532154551312,41.92416798669205,39.845791454006324,44.871222305947654,39.79727625805881,41.73211580832659,45.92233703691254,48.16226376031413,52.562927644859556,52.427228924192,54.740024576537444,52.456927414402074,54.541969957781376,52.550938400420414,54.21790688414094,52.59265412679288,47.2140728607853,48.99741039996841,49.714774785603254,45.57513104248871,43.75318142900772,45.06150132582798,43.0820357881571,39.92559378945304,38.69061147975286,39.426548636770775,43.006038431737345,46.558378086378866,48.3584714984914,51.398820556048726,55.5402570262049,53.514640166473875,48.99178471712221,52.436916991232266,54.40266541458119,49.82564139331324,48.48323363782444,52.31242962876022,51.57501685666187,47.87470755188139,51.65067925420489,53.594179412847815,50.30169680086989,49.641181358664774,52.93729378250225,50.36207856356636,52.30400267278363,50.62540593556433,52.44197855758538,51.3383939420053,46.10683908224086,47.59483245681212,47.88722710279736,45.094540627763266,42.2980401110698,46.1706400247477,44.337315982132054,39.494154642404354,39.93346645507148,43.06897908505592,40.627017252179456,37.06042575130162,34.1767713899726,34.41872860300948,31.343194456280322,35.87306405782887,32.805881964596935,35.269278516182275,34.689032026024776,30.826559402976272,30.15519306028194,29.188790301087565,29.73427796158188,34.07717471818348,32.97947249403938,35.47815958938251,33.89204012034188,36.72982479147991,41.572058827309846,44.650917578373985,45.76896854954719,40.91019117641902,42.330049472746154,46.12973919161992,43.082370524784295,39.9973481785424,44.725989817385134,47.46514226240158,46.74367318724755,48.660445465375815,49.99467142682748],[36.92553748009264,34.67306013486829,34.50150586543678,28.7096082522846,29.56485123824645,33.57095009660127,33.68889981535723,38.24676619515766,37.483172005521,36.04360731787808,38.96468448922755,42.74834087700741,39.43095762404796,36.89622096718481,41.58632936147862,42.55837085685328,38.400899772703646,40.7383554187587,39.05729003457229,41.55715272081927,42.418022739059886,45.0143458609245,43.63076502065827,40.88395947905267,39.415594641598815,37.355660338623935,37.43426959248985,36.45033396595486,40.2393902431013,42.72610280863494,46.4032261241562,47.575661988686996,51.67008714458607,53.42596911538397,50.269565532314964,46.62049853022729,46.736434395932044,43.26985618078067,41.27878900577213,45.48083611730956,39.88771057884182,42.117817557140576,45.56127552029664,42.66709202357152,42.674925960358905,40.26507503683723,44.13895143648379,45.064617598417605,40.54669335008918,43.30339254435039,47.63838949303663,48.27597644615109,51.0960535377206,47.18091689944006,52.68316581310862,53.66142896927476,49.59519983049141,52.247778799075405,55.780104827518514,52.55652937431626,50.56088746337426,53.68026457125571,53.851808609843495,53.48481965792826,49.839356211669234,48.421727590813134,45.62542313341572,45.194029624789145,41.80386840700298,42.47167361946062,40.23314427697823,42.0644436760103,45.264678905964736,46.57154415910205,47.977098432674595,53.63382986368381,51.688561815439115,55.9398130474333,54.126144342739906,53.65982263099721,53.168507733826075,50.990209476386816,51.11289062640917,49.581211183667044,45.565068008756334,46.218541922914575,47.219488558488614,50.7037021595153,49.051092548423405,54.28205999139154,51.7176736505967,54.70093216767354,52.741349641614455,52.28974575442068,48.11063396490197,49.40232748602533,45.46273770400142,48.75344339827195,47.30661705287455,50.563184049563866,49.5308506467817,49.208491942804095,48.42844457738843,46.72008663674699,46.626269030220385,42.957218247478714,45.36260879711704,42.574415413622894,39.93003219123577,41.857578908861214,38.047964878401146,36.850743240532395,35.4974549761594,32.79541805826571,33.50209738816702,30.39695306084518,32.60881623074234,29.326922354639525,33.43473230550813,35.82182393219379,33.085027319531896,32.549231387979866,27.914976619272238,28.78111942663256,30.106498546720285,29.186214691130356,32.66609449624078,32.80507311206121,34.73469021949683,38.40132294351827,35.225963733379295,39.45300803081127,37.86459374254183,41.26717222625072,35.39610812774227,33.44925123411693,29.23843898547491,27.849967391290527,25.55317105628709,28.53531491195577,25.860136198896694,29.86527659994316,31.2896412723948,31.49463211189085,35.17975523120359,37.029004148290745,34.68641826146952,37.237349316392006,38.26742322155382,38.35557637368986,41.133248539498965,42.947221242777985,47.65858960590609,48.86553615220229,48.79059782839692,48.199092950003894,44.86189526338324,44.707110934401285,43.559214683231744,41.80320471296726,37.94757396912073,39.95270475429067,34.5655117905888,38.334787724956456,35.66995852438454,30.27460379130782,33.013186428150945,31.06884813139192,29.47923781757783,27.49295738582745,30.44559728469884,30.891488816028666,36.01276984789027,39.29873906281253,42.10660495053181,45.230581023474244,45.05483192234329,49.8817755806813,46.76242112724293,47.59682191358828,42.87711960217884,42.21483697311525,43.28755701115128,43.419806923361776,40.45869280921027,43.00914887437569,42.40870425692792,44.7966435479852,39.255054505286026,40.64907301926621,38.844930554303524,38.95016675812951,37.484906102391506,36.694235510993046,37.77974081988311,37.84094986878059,34.73182006913866,37.801911235318,36.53382004576325,38.29585869591806,41.126288584377704,42.42975367707082,38.622320824512244,37.64245543521673,41.827615244871076,40.012076560493604,34.607009819715614,38.71644446787812,43.3165571286239,38.15514387865871,37.42624169403543,41.33406386557655,41.07787437843821,36.67442347897055,39.00251022670709,37.13913404073209,42.19869148618493,37.53006304725527,39.576024024909174,43.713997617388486,46.31343098045684,50.54832592326167,50.801673050851264,53.19784772568162,51.09113501670715,53.37137255649125,51.44966694508537,53.427578689455345,51.675941472577485,46.19007569670626,48.277583516995016,49.23032668855798,44.915472905731306,43.154889902755954,44.85272057015338,42.85468577740345,39.4145291823637,38.51572011589865,38.64736292864989,42.39729699794158,45.90244004734653,47.29212076707219,50.36440675076394,54.28514192433957,52.286800611008836,47.732948516273794,50.8680759987753,52.7565716048024,48.15860785012171,46.65170503009322,50.25880821510033,49.37110814681996,45.608248881554026,49.415770994359974,51.16386979054273,47.664007087652365,47.09551136421499,50.479873855550814,48.06902659121301,50.273006265438624,48.826282784542734,50.83491935439304,49.4472176596053,44.18523620892539,46.08612703297809,46.31398586803473,43.32997919924218,40.84987515728002,44.9879054083584,42.9152320026373,37.9802965117561,38.90139025747328,42.12367829987486,39.40503322999996,35.73865057528008,32.48332832110193,32.90294669747395,29.407282038768557,33.673207985275674,30.355951978175003,32.98546972929625,32.09172540384097,28.157803037547062,27.902658415293814,27.26565179048537,28.17840241983092,32.55070122395117,31.36191635937221,34.24346917895137,32.41244092757479,34.758114369550995,39.824710066748835,42.75668271199281,43.8586514678017,38.86036849427134,40.00014209011678,43.72699010979347,40.74910949464019,37.37661502948835,41.96048457571726,44.70368382096801,44.03966861999754,46.089281219795964,47.512700358618794],[39.237664932530585,37.051635317113444,36.952472400410855,31.571816805025012,32.610643064574916,36.867471726324496,37.29992086658096,41.90604019882594,41.327878422460685,40.124438425358534,43.113597305611414,46.82912625831786,43.610276913429125,41.1664986338569,45.91424228016439,46.85858468996106,42.7261832180986,45.12133780784619,43.44597603698389,45.85727421699595,46.682821989752384,49.15312176536374,47.74433870930788,44.90424972925484,43.49842250802066,41.591573526470235,41.63463834614375,40.72456466366558,44.53035476870735,46.96475427042446,50.7763113136774,51.81669456444302,55.95465372806573,57.75976184045696,54.544737352620096,50.91296813585103,50.90513727235037,47.426972652908375,45.32657002317171,49.321025363018634,43.78280249706732,46.209248935065375,49.54288376109871,46.4950700874695,46.42713173500751,43.83700753582463,47.60767401225741,48.691473507938866,44.0729278033206,46.55739438185214,51.01049910032887,51.61112983114912,54.58029126990565,50.829178739792155,56.32172954468534,57.370216654704464,53.413186416017034,56.218051006727265,59.6896004571695,56.35700425021292,54.560929815935275,57.808721456014005,58.07775439814148,57.69866732747325,53.99925226456353,52.64765269646728,49.96015510052062,49.58117004558218,46.232195203314205,46.922089326286994,44.688567355230894,46.50260640206673,49.71921344572919,50.99895013231768,52.407171830047545,58.046200471857425,56.03201362015787,60.28772633212587,58.39734241859043,57.8226616070047,57.27621331590219,54.94418062625478,55.02683950519955,53.31771949434953,49.34064699284186,50.195261953608295,51.321426442226425,54.83901258413221,53.31236538655855,58.593607604648675,56.09695114530032,59.124175621958884,57.16404350545439,56.67559036847623,52.46961233659197,53.76252788637679,49.78474982153964,53.00807531688607,51.45827228925207,54.550081860200315,53.610058710638825,53.0435440009224,52.35826971159285,50.39459899125638,50.11754587512778,46.36099731447157,48.49974260560422,45.50034652807821,42.81499399427843,45.010132280377626,41.282938499693316,40.40415932857068,39.22825937306267,36.671652877628325,37.64596255195102,34.59657151926414,36.9110122562664,33.64390179013139,37.81909503909384,40.22661863472415,37.51042493534015,36.91629383627453,32.25206520958059,32.96871808576709,34.0848318913432,32.980757259158466,36.10733883546809,36.20289068155764,37.86957189243493,41.573703880924064,38.002777966912,42.08811577412215,40.60212344831473,44.28968420603152,38.46680407419897,36.82845586909879,32.29009387011667,31.373088411293434,29.37500013545016,32.45136896845205,29.892857557006757,33.80373882747845,35.44105582882807,35.598613203128934,39.23047840626082,41.1647938858544,38.796370511952865,41.30513748437735,42.164682080064104,42.24085823122168,44.79992953415989,46.688615971958804,51.28616565576419,52.456808565087805,52.61351240583769,52.05622855734886,48.81466853186672,48.50359019127333,47.54669870287016,45.538025602628935,41.716427216216836,43.932359675346795,38.4510273323123,42.1525825505103,39.196308931642115,33.696498330209764,36.108148659192125,33.84820458431075,32.152909105446,30.591993919324263,33.566394870655195,34.378358375067826,39.518608187656525,42.904641206645366,45.85593182301485,48.9738951596098,49.01452208701311,53.722990571827296,50.549403952521175,51.22151268011027,46.39448039654324,45.66388109751774,46.454414728993754,46.43017377610144,43.626361692676184,46.360216021781625,46.01286976155081,48.14460267635473,42.63075868957382,43.70903197750086,41.66519820802379,41.904603255179914,40.15068299830463,39.31064570993918,40.22070749204364,39.97586326025904,37.038438932162265,39.96472851476805,38.57289854943084,40.70897356376299,43.15335028908798,44.773333162345025,41.11029196844358,39.639318822799204,43.770077051382295,42.26330873860264,36.60848745095568,40.41520224466257,45.24834358424604,40.22420817043135,39.13143370421142,42.943196934553995,43.05246492995531,38.453165869978875,40.3471181713969,38.377666313114766,43.28985400267032,38.18441651936749,40.621627783273794,44.694553778343895,47.08540384117585,51.26042792452666,51.4448268824491,54.17702209102873,52.28292774889303,54.72099929683417,53.13999768872976,54.88969552169019,52.83311514515717,47.63254558222376,49.877186302366795,50.41127096821614,46.02241407559578,44.60749495093558,46.305146458035594,43.78715445191498,40.45162824676685,40.10844674968339,40.32839665235794,44.53901096745638,47.89501822906962,49.274811468895244,52.59083848559005,56.4504252599696,54.78149323864338,50.10376185751904,53.022499124444224,55.194393384255775,50.744011123253564,48.91561514001277,52.539364850286354,51.8030529772409,47.87111377602578,51.39815137033582,53.25323734215073,49.83535359859195,48.90861787145365,52.13820219341451,49.628037344551075,51.884765684395724,50.64145585581678,52.38420802515157,50.75020476726784,45.72081075168164,47.58961205993111,47.41714055306199,44.4380216031705,42.18691831022802,45.940527208598525,43.51270591094367,38.874552264805295,39.89434912281865,42.61964447767949,39.64794738320782,36.20105597876235,33.24634578738982,32.95184863690801,29.65046514082006,33.99321660462562,31.2493729465192,34.315099839447065,33.915604181347106,29.653190132560006,29.435006323452313,28.36879590841088,29.634749396723834,34.16675080473069,33.65812584602819,36.67989093780622,35.30679224825431,37.435674301348236,42.66586415843562,45.41817532262201,46.8504160442148,41.854954010900684,42.6239773981976,46.498305541553215,43.91306971621319,40.22881125440524,44.53951534710157,47.51529351900204,47.07868005544761,49.23834843620341,50.74276166612354],[40.395854737235446,37.86360383639855,37.25830426321126,31.996212551072592,32.12534178610385,36.985494242685384,37.13142157816178,41.64214498285854,41.4666147785436,40.04081102827437,43.178244865602416,46.763886693339394,43.08485860230559,41.03982763892803,45.62101486396065,46.21432774728673,41.87470390023189,44.10803742281214,42.24746181246807,44.236453416809084,44.93087752716011,46.99935313211286,45.62510294592329,42.61560570437757,41.24114022726811,39.76842287231061,39.71160606234727,39.1911273151207,43.18209094839548,45.75774742008143,49.95522146215947,50.823371287193225,55.09135947085126,56.66966464307928,53.21965666206262,49.49099490066166,49.3408304284548,45.510242336393304,43.13369847418667,46.62364621773156,41.12700160675406,43.937053387948694,46.992420348283716,43.66347063768425,43.50172779403344,40.65471618193573,44.28224729628868,45.52468338275309,40.770315596976296,42.89879823342117,47.47204482837302,48.05209512062139,51.20358139386529,47.73424993695666,53.23417245228142,54.31109286953785,50.55301305666483,53.65116960123839,56.96016669278495,53.45138482529865,52.04056249492976,55.58838492125433,56.123840377145946,55.786949297521176,51.918727263864376,50.711617845222754,48.49546675040907,48.346294703294106,45.3458720691037,46.37981540374252,44.29220650662705,46.349054801287124,49.299915524044565,50.177767485293934,51.48042888877702,56.94346963046303,54.53424937224602,58.82607267249247,56.64977203385618,55.720230486197224,55.17368799191342,52.50494137540936,52.76541543920288,50.695004368568355,46.719557078778514,47.990383955445196,49.19881983655042,52.96735946819992,51.610122031556706,57.14664846295139,54.92561337855729,58.17907238328546,56.43864320780456,56.04634718348825,51.968352296038816,53.596937076529954,49.728330407722055,52.56075957293639,51.050881854172935,54.19452637277922,52.7188345849032,52.02716608529427,50.93485384183046,48.905212802761504,48.05527500631182,44.5476781325148,46.532070594949616,43.34457693504431,41.0412310149684,43.4515465039772,40.08679614542785,39.02531357862888,38.37605853423644,35.53852000924762,36.83088680627502,33.58769759833206,35.789186867644254,32.32704669400305,36.63706798025962,39.30005559180029,36.902938062198395,36.4926096025939,31.753965289911875,32.48254253356859,33.73516971769042,31.938330641778723,35.29871682441344,34.77568684928666,36.17746948246147,39.475118361281595,35.70976756644144,39.5531510774411,37.723081496327005,41.63833375320439,35.82006538654672,34.616007174399996,30.14834979004362,29.377059621908515,27.627463422966542,30.493368773829474,27.776791411812862,31.305315486807007,33.450656411797624,33.67372794565797,37.082531411358374,39.42346360396482,37.21954035466345,40.008876431032924,40.85649345644418,41.43695833982115,43.9637860800023,46.338605986256354,50.79371780943014,52.52574578662157,52.53968970289564,51.553507641020786,48.17843160505567,47.547759159650354,46.431850675504066,44.050188518722635,39.840601093657995,42.035009481343515,36.299190246424715,39.68168017049821,36.28679472598878,30.653683711922202,32.83690452152568,30.17006542954432,28.728811577156133,27.57725929365596,30.69531377541071,31.849675579874617,36.87262483201246,40.432568596686956,43.586228734094846,46.89373250855832,47.27949502279697,51.7065582250598,48.21207987173691,48.77259566886877,43.667307712426826,43.31225031026432,43.55796464795609,43.207619298303555,40.493895225961076,43.13475561042874,43.005585571828924,44.727440032675084,39.20180267129206,39.99440190738685,37.78140677703206,38.296342534231876,36.49327492014527,35.874049662523866,36.88159449389051,36.718878150866665,34.22095170691686,37.342308209764795,36.40185635130476,38.83100687883055,41.40467377258385,43.33335513714097,39.790552098292125,38.36689791876428,42.6617452789988,41.52499972625684,35.98188968093274,39.78139261475068,44.81019105575959,40.19310165762257,39.20610122157262,43.090925935593084,43.439621436980055,39.141403387479066,41.01371056003592,38.728591812024185,43.606617103171025,38.01110026683715,40.2035821135395,44.35440339429643,46.296020512287676,50.7051915749229,50.38771798058765,52.9477306744481,50.80796110269148,52.99584396692113,51.31639443215866,52.72612627773405,50.83739167585281,45.73657308240473,47.63426376652945,47.942482824899265,43.752179677018425,42.245219055868006,43.54063734532754,41.08239740319815,38.034014460472186,37.31478132441709,38.159887426244374,42.20005078831299,45.59012793556949,47.4156443487178,50.706911146250434,54.811038838980046,53.14360300862228,48.48985188981856,51.756958491138576,54.04628638142464,49.64536430370986,47.988024571288236,51.900539065508774,51.38214152362655,47.52197015760105,50.993539693531595,53.12488355879491,50.0162533250872,48.94954791397423,52.05624848752484,49.32155922331705,51.214389197188424,49.66024500226136,51.17122671941282,49.9244640508566,44.91685980471266,46.26263782649025,46.21394257904713,43.480978547342716,40.80660366516192,44.28525489896944,42.21779241119665,37.64223451890139,38.0638379101226,40.77440569503363,38.19960056735586,34.825163678661035,32.2806765882882,31.94496076194525,29.157184824783972,33.83054784575413,31.303993023604058,34.04247223488476,34.04560801637394,29.929693587535155,29.108586880307193,27.65876715559847,28.403253364404232,32.87482261632826,32.484330071185276,35.0643462303997,34.059169605996104,36.74767032883755,41.72111465224131,44.621632892433475,46.15045482363252,41.33761563633545,42.4068078924392,46.41338477680292,43.84361215362804,40.4813003154415,44.96036496449316,47.98544790311318,47.53112263028563,49.53417570221326,50.95444728798285],[34.984860323205716,32.34879658287188,31.641936511661658,26.30464889896189,26.349758711004384,31.232322294307416,31.42772404074008,35.95177659330577,35.911541651554735,34.68050874925915,37.9289875072177,41.394337755962326,37.85393773599646,35.98855615155098,40.692304791785155,41.240382252860954,37.05637691985026,39.63270866768275,38.27297992477022,40.19376633974296,41.32831702622321,43.564660407888375,42.525901361639,39.7415038911064,37.934698214786636,36.18135564364603,35.70761336133337,34.78811794925936,38.58112204379873,40.8619929509388,45.267681392858584,45.80985799198676,50.120607525924164,51.956101356008546,48.487401800876846,44.93454990486066,44.52482958182535,41.10041996148296,38.81304837256539,42.5918748479367,37.340458961575614,40.158235535371986,43.43522407408461,40.34561628206716,40.660978684093976,38.11124895839763,41.92299235256082,42.61753020100754,37.78236810008378,40.371284414279145,44.63927443826936,45.0313047645277,48.01859122533582,44.14542157278394,49.5373885085745,50.93630354313245,47.106171757222285,49.85991803929032,53.41826979386767,50.288023544097186,48.73419758945475,52.127447780985634,52.37092830208854,52.429718140363086,48.602604526326026,46.97465634391974,44.85381898888508,44.30748469320057,41.45588300082739,42.16076493949517,40.27751311546123,42.584600005920535,45.32128954662181,46.46054169603936,47.35948249140543,52.996707740347716,50.525067186721955,54.660426886320785,52.466155531839,51.683219575550496,50.81465239297435,48.24270234429753,48.13173860507182,46.238555779234474,42.35196629513303,43.435079109767535,44.898285594252336,48.36825053654899,47.29411604012842,52.67110710867275,50.53291758780961,53.911982383835614,51.96951007101565,51.33101067305456,47.13175918778981,48.77412076106149,44.809376145800954,47.444407548042726,45.757241572102714,48.7067854651324,47.40318007965346,46.522159020189235,45.660684498599885,43.47678473786767,42.85430495916539,39.16833177141025,41.19580242123618,38.10626745205703,35.61136244521392,37.92293300471827,34.4348284276715,33.4953438906988,32.77421351890491,30.11443064901899,31.616131063199614,28.55957760721555,31.088437110027492,27.966339248549467,32.74108495235487,34.94104614852708,32.48405546590002,31.726189550293153,26.924159574904056,27.297922611684474,28.26768375437414,26.42922695265264,29.584307131987362,29.213243391509614,30.687783618840683,34.203511636303965,30.550626952549116,34.58543918094084,33.00909730893069,36.745733109681595,30.927689387490148,29.470015089666717,24.875295013403036,24.160528898552172,22.502036409933762,25.65957875273029,23.573201604577672,27.636450590800028,29.43450541700121,29.225672044127972,32.76843524581588,34.75421910762509,32.34217842151091,34.856691241093365,35.508972753162816,35.92289535602543,38.32707841800588,40.68415094079231,45.097225355078486,46.8256637855951,46.93510373792821,45.97214829470112,42.685407729087515,42.003660155994545,41.08922027368707,38.654921205091846,34.6990546986942,37.16695432534508,31.569764512363527,35.219694493772295,32.02854432130868,26.543678460143546,28.697883617167832,26.53098397211474,24.62416020945685,23.113633416303674,26.049020557616476,27.06392505891265,32.21013412033245,35.660875890517005,38.74876466678143,41.87026115807248,42.23051210391108,46.723016965399694,43.47824343878388,43.97164733508495,39.0900741688606,38.30585306235479,38.93506406713371,38.904682958004145,36.16582581405996,39.13118731511395,39.039502431350044,41.179883808720916,35.92548217587788,36.71870256809055,34.593126190101614,34.61017685774404,32.705918652902774,31.754122759191315,32.64709213445197,32.47277453240729,29.52960670654564,32.575578014014766,31.42734299826547,33.56205887387239,36.266055558774454,37.94220422127949,34.29846295955068,33.07988879283201,37.375322285978825,36.01049256126521,30.564116932700067,34.54692490304295,39.424457814039144,34.713972946273586,33.92519469783168,37.86990934776767,38.02593043870291,33.868927537871734,35.99635477890957,33.76170899010541,38.743755870054684,33.51951753898983,35.40852207865772,39.6058276879935,41.7932761963388,46.22020471456411,46.063203686473386,48.382461592911085,46.14509050739989,48.3064984430403,46.428964973782904,48.14699056873795,46.405059825037974,41.034822208422824,42.98966176036157,43.72664513940673,39.479850283956665,37.75265957873706,39.29727417378099,37.20598616118488,33.88566947787998,32.97744549883699,33.39909218469331,37.284876652161195,40.73827890150179,42.36125173166192,45.548370401876895,49.592685492046336,47.78285141681032,43.15801482752436,46.41822247101972,48.55634285990836,44.0846249409946,42.51177043648042,46.37479414499065,45.77027770085384,41.96909272534982,45.584249601715925,47.644942571943325,44.497385026983316,43.608999712967844,46.81142083426932,44.152214133083916,46.0567465179601,44.431963318299154,46.17041957115588,45.00601339075313,39.823797779095024,41.31654132981533,41.531932869376185,38.7303773282337,35.98439513811031,39.8699149957566,37.994973386451875,33.12798634584806,33.66999899214895,36.848307164182025,34.37355815697999,30.749468615740735,27.805629338350464,28.18823802710449,25.094412517178313,29.650230863359077,26.602081543754878,29.014072608642365,28.697105183379517,24.793208357436825,23.938234814275813,22.840883370964097,23.415215402230892,27.80701592490265,27.005736738760845,29.669147167759682,28.425813904123483,31.063825150619802,36.046807021033096,38.96994888252564,40.42055050192279,35.58018954260675,36.71238007855836,40.68345782501185,38.06709657069429,34.75526649922897,39.31271706257106,42.29054809021704,41.80846667208895,43.79288181840884,45.226706609945815],[35.010673994996814,32.69827302916671,32.46471071707842,27.431609386117774,28.433965489208205,33.01372523763127,33.7565584933105,38.38553839617394,38.209285235238696,37.41155821952789,40.60983815209793,44.09099271076767,41.042707646694744,38.967751124790304,43.86585838849074,44.66021046831577,40.70096160680445,43.494092573949324,42.352857548799356,44.5143271975617,45.77077870090946,48.22068755850007,47.17603665548248,44.472031518218145,42.65212168061189,40.66893278973018,40.20147667960186,38.99661749343789,42.61474122761602,44.68697695229038,48.92490115089594,49.43261604277102,53.67510176228643,55.76706978453228,52.43364566003382,49.00895162893958,48.5638343425546,45.47676337471948,43.33317550574512,47.33223254086792,42.15715426168146,44.8346119396405,48.24139039899084,45.27345020711285,45.64299443053589,43.168543321906675,47.00419019956974,47.657658121419544,42.849521755374816,45.497830207323034,49.73153759624626,50.08138630520874,53.034651722789114,49.06402494866021,54.40565284139716,55.88381450348728,52.0054708419204,54.61605317964402,58.26582884333838,55.23221995284932,53.54865941743293,56.80016788556093,56.8871005224686,56.96016109933496,53.225435971895706,51.492873145170115,49.124609471867714,48.394014766262785,45.33232052936449,45.74077861235326,43.77736016403411,45.91781418630679,48.8428748960325,50.30575794320562,51.22866821885646,57.00317698514875,54.766464257021084,58.847066229491695,56.80339513897804,56.2170499627656,55.255386013696544,52.8278267710057,52.49142026621477,50.749844665972105,46.933753199793784,47.84355956999951,49.381735393852715,52.63117032310533,51.58373938810882,56.77047347265991,54.499247249451095,57.75931135308541,55.619032897046104,54.835129163759845,50.50009597599831,51.882500614110285,47.786988995225045,50.63113194657026,48.79336175633465,51.511333180486794,50.74567893255232,49.709697936749784,49.297062399614326,46.91607792141589,46.615187193183374,42.64949694332796,44.5377988406873,41.43489034848923,38.58471875082556,40.94567157227113,37.24986952548733,36.791353552772904,35.794715044574986,33.55146611498897,35.044097384732716,32.2435547803411,34.974106630484165,32.07985597400982,36.826184393883246,38.780762430735265,36.0825578588623,35.08323229244165,30.327844065074096,30.519010847822752,31.14265883194817,29.74361350755857,32.30624551574925,32.44427480333503,33.880947592388374,37.7579491565954,33.94251112711257,38.0128073249418,36.86647441508987,40.62857273760353,34.92252595532495,33.38974798034027,28.485705659655235,28.113191154689634,26.551876192594207,29.944570958892868,28.166185494172623,32.44953351274347,33.977908266661345,33.63921894275734,37.29783562808851,38.97843593482824,36.40453475780373,38.598787852208794,39.07475678971997,39.03826622616205,41.232148071472366,43.25183908569187,47.648776350720276,48.89303277106493,49.34996388333371,48.76358887758294,45.698005651089446,45.12178837125826,44.546922533553705,42.18584363708294,38.64350014819801,41.33493615410074,35.92457696965965,39.76439495504927,36.713175953070966,31.32940830681277,33.33301201056519,31.27470320029427,29.06299966872375,27.62099704482104,30.381099850731125,31.42152483685582,36.62042472216406,39.97328129338443,42.99587848171268,45.913066477673674,46.19327167810635,50.7818689751803,47.792923085909166,48.210955637992484,43.515709499760355,42.32083257017113,43.16264571577927,43.282857467901735,40.644326700974425,43.86317762321634,43.838005720524954,46.09611899865872,40.94026950533534,41.66137441807349,39.47366565636829,39.350342636426745,37.225004687503414,36.02831656369222,36.64948282016884,36.11064465771417,32.963742833104796,35.65791168619307,34.00003579753224,36.20165435488442,38.412030107414026,40.10015479364047,36.511640763831295,34.80617887010528,38.88683371615922,37.49692651544398,31.75332551389161,35.450697998829575,40.36120185793664,35.452636624824784,34.25181275842333,38.05091847270337,38.34165062082219,33.77353357193406,35.53981031855544,33.45674646294422,38.345824577730916,33.13504184961197,35.557931973015265,39.634677100194956,42.009873848575744,46.20023279345643,46.39029448561261,49.12625500046871,47.27593689050112,49.776300593485374,48.28393180389614,50.08660944780341,47.94583849521261,42.75660610400629,45.14057691139575,45.70639931727773,41.24093928080715,39.907906345603664,41.799521360789996,39.20930384766062,35.74692824512404,35.68345837990727,35.62102727476133,40.04779996075249,43.30836863684479,44.525195594083705,47.93756857159521,51.70261096078444,50.195660499796446,45.45959965864119,48.21513321076314,50.50319614013681,46.14354229322206,44.14086147882865,47.76972998493264,47.12758829648347,43.12467378076441,46.52628021584399,48.4591962899416,45.14600456903766,44.05061664555339,47.21230738383397,44.647046752687935,46.887189656072024,45.69806509081737,47.390687259706,45.69810763499642,40.70960293760251,42.60673458073882,42.37099045871145,39.37452251656409,37.193716722913756,40.965660249156095,38.489471653664644,33.83358976032324,34.97689291251482,37.72830479487285,34.70749099095268,31.212447000446385,28.181877667367594,27.98363680339755,24.609762543071966,28.969386440359884,26.22572534999334,29.298697987853696,29.09162720297549,24.769618851290716,24.46668987547378,23.31478110188617,24.682113055678204,29.238236297980905,28.975875165963085,32.13719007902213,31.016647099756067,32.933157974225885,38.257182411613876,40.87050164723588,42.544180987727465,37.57764915429074,38.10741680783525,42.096022499578226,39.84602284619506,35.9884062889963,40.149524818764085,43.30161734795608,43.04897131685662,45.25890549747867,46.8362189862215],[37.57502736369339,35.062745721615215,34.48293138290038,29.907065704312643,30.319310123550924,35.48952638517093,36.228794121179696,40.78794156758929,41.04117581268087,40.244019259007956,43.58345938241891,46.91122007231558,43.60932691488049,41.890324876927416,46.69729966290384,47.21932495132523,43.143693853172195,45.86436840808584,44.6152134528759,46.41656449172028,47.57554353106433,49.66219240295189,48.64607186335185,45.77987420668141,44.00366740793626,42.41550282921492,41.83710722914989,40.94162270741261,44.683797838124526,46.80333370505976,51.40806641833784,51.687241001184844,56.046939928201695,58.01836838088755,54.479678096923394,51.013404235995466,50.367058460156656,47.04975653326633,44.64371437635454,48.13497855205687,43.068406570091085,46.147780041812766,49.28419412367394,46.03378122540006,46.31787511025103,43.56694186523216,47.22584553753701,48.05752568821225,43.09140966571503,45.31236711255834,49.67283612358844,49.95650231884761,53.13058041495321,49.46588935351002,54.778232778480785,56.354091316514385,52.70571283135333,55.604694027768204,59.1031254427464,55.90029342581844,54.62955260442381,58.1688563077355,58.49520571838495,58.613929771094305,54.73047696060611,53.123931217660214,51.16992455389053,50.61983232613279,47.83750817995806,48.49057114307903,46.63771905221537,48.93972783665049,51.686325715489005,52.85859239531318,53.69384063036982,59.33468707046351,56.770228229844996,60.86659195850275,58.56589352376504,57.65802786973276,56.636964146192824,53.86616722495079,53.603089519235375,51.48332397551878,47.719143332166276,49.06311264919055,50.76324779226735,54.19027311246356,53.37317657458635,58.76042132830889,56.741211711578174,60.195342032536935,58.20435547715117,57.45471799465528,53.19453485767505,54.816826809841665,50.7773088051697,53.28330432283546,51.401495805771,54.02737813450686,52.943582662990025,51.6335570752285,51.003450057102235,48.38486455529674,47.53448059967798,43.69475560516711,45.251393218380414,41.86184813260952,39.274712157677214,41.98889753480733,38.649902474746526,38.301720475146595,37.82906771013437,35.50218093176901,37.403619337151426,34.51893167232486,37.23096020884073,34.22789482486453,39.107432959725536,41.237679549087865,38.77809867279599,37.870014345578554,33.058980057423895,33.16587776974386,33.749277500349734,31.732084692683557,34.190805318081104,33.83622659193641,34.86336706142924,38.44622847618908,34.20374009599312,37.95623874302022,36.665758061668896,40.792548007238764,35.16939249528677,34.196801473179036,29.132307073527475,29.236364054304765,28.089435368328942,31.37650936872552,29.606660642059406,33.55984346886875,35.5566352552849,35.21482849913891,38.6676954719963,40.67083011845962,38.19912062886364,40.54461814568908,40.88152513072576,41.20054941528257,43.19821663739186,45.62262335203015,49.81012673988361,51.442229642162296,51.960526678395965,51.083602630610784,48.00214346738709,47.07827692610688,46.535017882354296,43.72417767936223,39.95407945530515,42.78464168130749,37.15924525449224,40.71561829911706,37.16398364202304,31.662053410757885,33.221639948751275,30.68261822059794,28.539857265171314,27.732865272434182,30.56611532311288,32.121091368213,37.215313848266526,40.74197300981535,44.00013750407245,47.0260838995107,47.71652455731733,51.99987433662186,48.76294425376174,48.96943882262454,44.02567438402631,43.02764320994811,43.26949727083439,43.05048900638556,40.61911120419029,43.92841602069007,44.26062048982691,46.052388587364014,40.96461121251806,41.226890686666444,38.74585535261507,38.876739044612535,36.47876533709825,35.375243902690485,35.900754250674154,35.15839082317191,32.47557828723124,35.16631501189096,33.74726145121913,36.455115988812196,38.436988115916435,40.60228714909379,37.245033673219986,35.19976250329149,39.33510257788068,38.488036945921884,32.6908542109003,36.10736740667083,41.31892504895258,36.88188675784915,35.49764827525838,39.24603079776127,40.007574533170924,35.58005629145759,36.97772017035634,34.57357020467308,39.27334202047601,33.3525691866658,35.868030620274155,39.92812263771203,41.761276583955535,46.07401569571101,45.80978539062825,48.667358406868175,46.80029728314349,49.22672728905222,47.935583494481115,49.29617722155286,47.04327484806783,42.17598069452469,44.41742169761908,44.477245602002576,40.11209912764649,38.99755078375033,40.58906071006497,37.62301707275832,34.4698544380465,34.59514735360504,35.0643544942635,39.71625430788524,42.864340307986744,44.398502673600206,47.97220215044215,51.85729580849475,50.61658674300565,45.82149522550947,48.65799592471414,51.247327941725416,47.06099777802222,44.94999412616097,48.796146310449835,48.44305644571933,44.389849753904016,47.511577209455865,49.73383892710236,46.74622021818284,45.272874085811054,48.198525155013606,45.39187212692475,47.37308253847763,46.10574805891615,47.40099166277591,45.82446086586239,41.06324692166678,42.51311060116092,42.05544135820606,39.273034722806074,36.95354818025316,40.18143228402378,37.71052534068771,33.370376894318504,34.11450823006363,36.43516294407528,33.530218626717115,30.290717937053707,27.87191842811802,27.038090606392796,24.30185339800844,28.961704531629103,26.910947412599175,30.018581938314,30.53708940978967,26.152158342873424,25.378660384041446,23.569101069709355,24.777299648515523,29.36006130891422,29.745227605080444,32.641940511891306,32.1730459734403,34.334514709052264,39.538743980417244,42.109092141481064,44.097730866462065,39.308016020466624,39.78752765426759,43.96037603550805,42.02776111552303,38.22230611781306,42.27980177669629,45.61855967703341,45.51885521515958,47.67538067658003,49.23700351869171],[35.92825230563533,33.19761783895492,32.30196962656954,27.73538035449506,27.597635684664642,33.04889027377473,33.62016825431851,38.10494531011876,38.59380090161442,37.73691948212166,41.163007256706884,44.37169650347272,40.89727089713875,39.44588243088361,44.1790279856324,44.511219544910695,40.41224102753833,43.15923665994662,42.014498489686986,43.58087042622141,44.83909437278131,46.79535657054243,45.930806354449395,43.092990657533655,41.17240637913701,39.68631067038453,38.90424385115741,38.04841960240118,41.78111167629363,43.85264263847518,48.690192341251404,48.7771436817465,53.196003110132935,55.137743222993564,51.495674657583955,48.05914812307199,47.25944316759474,43.93657524371175,41.4476258576877,44.80193422542349,39.87031420389253,43.11275846094489,46.1931543767843,42.92537983645071,43.35727784247769,40.62749793540789,44.28118837911276,44.95551029767708,39.917707633964504,42.1624209578845,46.435463156333974,46.636467706146,49.81291881375082,46.12196088461802,51.383662173080324,53.087943107374215,49.508019119381345,52.39422606516875,55.905291033025264,52.78190603657925,51.6271593752363,55.22720147768036,55.56113718089228,55.84833757245875,51.91959256571868,50.224191032959254,48.53162192996988,47.94229053957564,45.39398161707467,46.086616882974276,44.3888230411183,46.88308884366385,49.40971705786523,50.482014449155756,51.115456698330064,56.714062529643385,53.953935282485034,57.99522955702737,55.565617298599946,54.55455684512198,53.42108203368755,50.54452469576669,50.23217685869847,48.02214221341448,44.29958889249573,45.75756506801635,47.579419007033955,51.00198573167765,50.36503112260513,55.79316749656628,53.938024614735006,57.52945809237261,55.57861921176494,54.793857084907785,50.57225975387705,52.356007740427756,48.35774315921196,50.597829897773906,48.69085676634127,51.28279344759855,49.98626911195824,48.57566595822425,47.81650599665158,45.14022367501644,44.10264505671572,40.33792956958893,41.85707307584496,38.429852349987264,35.97680982980015,38.73669127883731,35.54117849007939,35.115984457966775,34.881111276942356,32.47984236894525,34.59555535179588,31.706572660365023,34.45657567563466,31.517910310943893,36.58817999294648,38.6485582590859,36.3422903947156,35.40791852291177,30.589785470964607,30.57445354842999,31.126385500933495,28.758204092088533,31.264522107710793,30.640553034142027,31.567441483831296,35.00951417191731,30.740848765457738,34.45536680658337,33.072316670091276,37.22501869706275,31.603995089441664,30.746274357378024,25.697552115223385,25.89712184203866,24.93374219396815,28.192910653406095,26.622348411595176,30.556392598351508,32.63968536365428,32.16309898731639,35.53154753566585,37.580977489886614,35.12942359139772,37.4986942015291,37.76520496967906,38.28048646217415,40.2278217502972,42.87929048533404,46.97858712209746,48.895158057150326,49.3429333531931,48.25669584974546,45.13935307777325,44.05401110017474,43.48714387109631,40.499196796103355,36.6377220610619,39.53725764463921,33.87234778159324,37.357178696041174,33.69494356145039,28.218776447705174,29.644360309455077,27.12254491279324,24.91297752124074,24.173260406109634,26.991834886841232,28.657195680457143,33.71672518312617,37.27182875633953,40.587290911291795,43.6297047574368,44.46397398028042,48.62982859838622,45.33981073193182,45.47878530175468,40.50003254600395,39.53317987387254,39.668772476092194,39.42357368586883,37.01765212958286,40.392766535239154,40.830207394951806,42.601534870539034,37.63078852555452,37.76807999664359,35.25803414460136,35.311522144110675,32.86491245146344,31.739286627368394,32.28181410112101,31.604589837450728,28.95085771849883,31.74143189987436,30.49821759607229,33.21381284712116,35.37243369687954,37.56707428848374,34.214976483839976,32.338990315132385,36.57906497234001,35.799739553748125,30.138527652974517,33.668473395575795,38.89187636595276,34.620632268974596,33.42945663791674,37.252541949859,38.00537456182667,33.83363441825874,35.38876541252978,32.857736304600806,37.60107551185457,31.644588765233507,33.832275784784734,37.96767136839105,39.695021833531925,44.15747496415134,43.69921662747207,46.30918760757318,44.22903786284579,46.48682079232862,45.00300178470235,46.34401116427869,44.28826419820155,39.304844351239346,41.36011696256786,41.539194108107736,37.256678917709735,35.94051691255332,37.41819072383006,34.70657322237418,31.56769974453585,31.31942940728677,31.95577102128336,36.40412518014871,39.62573810720807,41.326534940443366,44.815142445065746,48.821716372987055,47.47419534946201,42.71703456503457,45.77321228814438,48.32341956980525,44.11229734206855,42.1731328149361,46.15158368666497,45.85607153781795,41.89227034327266,45.0846866661893,47.40619846388505,44.55360631547063,43.137202487310574,46.06095247711263,43.182517770952444,44.96608660288649,43.46917228271476,44.775589807784165,43.48112520560226,38.61736009630302,39.84710958322589,39.63092226939644,36.95050844379824,34.32259862169284,37.63695158246008,35.50292829018973,31.012608367690802,31.45075201453429,34.05500571477974,31.454182538100653,28.097713035958364,25.689198752722607,25.26407437276271,22.66037341340082,27.449091118351983,25.206685581644283,27.920854550546007,28.46332084339298,24.305899872661545,23.165537604153734,21.330833591209473,22.1069259258132,26.61487604173599,26.822447710572423,29.488929153824724,29.08936293593516,31.55793332156016,36.598092246301654,39.27744403787063,41.240405900938654,36.5468791242557,37.25806536807301,41.458666437739176,39.46775990605977,35.90348924596709,40.105884950461615,43.40924541800962,43.25559181138846,45.30351998535497,46.811093859890896],[31.549690983704902,28.988093113899595,28.401536799167445,24.01452247465375,24.636249750893356,29.809235785076485,30.871123269403,35.4328848013343,35.89720562220839,35.5466673044077,38.989183551215945,42.105891385995335,39.163782430483316,37.67506975128898,42.62456286109497,43.132287805330776,39.36475180227135,42.521692364513164,41.93058593193246,43.66088399122728,45.33125558171052,47.606078561101256,46.97461030126244,44.39746656295166,42.173581224421305,40.270850504198535,39.2177832824969,37.8204868260773,41.22532466200065,42.89464888423493,47.69176974037091,47.530500132408854,51.896568851148714,54.2307642364893,50.718540252665974,47.533563365775606,46.543084424554195,43.832964840066786,41.57636797681956,45.36643815168444,40.69058233880032,43.73950705027604,47.09731056874092,44.162273607435544,44.97855732674128,42.58309567088163,46.38708236428487,46.61478456362984,41.61474816280506,44.28974609060981,48.26655501575702,48.3173696172129,51.28715383222516,47.20275784217164,52.32035052960925,54.28638552881303,50.59735830849692,53.065814287090355,56.831905607028006,54.09344548885851,52.67662282612479,55.99796795206219,55.969587550172584,56.54131630418205,52.750991123457375,50.66848589040429,48.81238914513803,47.77974477617446,45.16715426881834,45.3684345611198,43.763142071287206,46.286147014476185,48.79495110278446,50.32100576702477,50.68468729644222,56.50093997243745,53.92429083587582,57.79088198888696,55.50607282370169,54.800062580428545,53.3765028220825,50.748057691171105,49.98020740890869,48.0906544438611,44.503771897993715,45.61047461672663,47.64147373057488,50.631544059987924,50.19488036492361,55.309627019787634,53.39224029108114,56.9480993654869,54.69214165821924,53.61455899753829,49.21150910107982,50.778337171818265,46.623665499265066,48.8898273878026,46.743413392173416,49.00434904330357,48.29304841597154,46.650476632571106,46.44943824504842,43.54012208078278,43.0142700569671,38.88774617761791,40.368444676741525,37.06856124791703,34.14109615307679,36.80275161949987,33.307034504733046,33.36825779549714,32.801746446015386,30.910831747914624,33.131401918844475,30.63167944282861,33.76005628876137,31.300744885560693,36.61326389360309,38.10994125993648,35.577230070019745,34.197567953717396,29.432146180547928,28.997141365598154,29.035409232067995,27.056433931015253,28.88030293165385,28.857757389204107,29.85255621727684,33.78838632261065,29.57461712257866,33.496689482211465,32.70935336486218,36.638933494753985,31.14935270139036,29.949683187465276,24.62328512831179,25.094955898311653,24.255236226616038,27.88804781918988,27.059479655968083,31.530992784777887,33.05930176325867,32.1737150451391,35.71928478968666,37.202894715764394,34.47907173203353,36.34481169791934,36.331112590277115,36.31593432863055,38.00340962914339,40.325643256812626,44.384076687046154,45.88092815829209,46.66892238767863,45.92277856229466,43.061381871091754,42.05772041635653,41.916113290980164,39.01277521506736,35.73623110219848,38.980270852572,33.652218732042606,37.4932510094698,34.218446668329385,29.036027516297285,30.384606563904384,28.47125969020725,25.701486647440845,24.626246444876607,27.086871874995985,28.548045882407617,33.69385894506451,37.022204959450846,40.17169176059122,42.87482186282398,43.56497078376132,47.87539300792818,45.02774741640298,45.09035997114595,40.50182736621675,38.85774312807611,39.5573937083628,39.73956248906182,37.377260677228556,41.14057422960812,41.58531971640847,43.82205049272439,39.15276201192498,39.33227284881299,36.9333379422897,36.46304303849694,33.861614709385385,32.285583486578005,32.531958532276064,31.597204962022868,28.353831499885224,30.757738596597402,28.8746561165091,31.306387844435555,33.18823179688087,35.10946977867283,31.69255506843451,29.624557821859813,33.68136320831414,32.621323326750115,26.785959917818005,30.27728021662119,35.38118638566828,30.809940369950688,29.460796379494052,33.24026018090507,33.90177345897322,29.49474102899573,31.012698232221954,28.655315036458664,33.460983476488124,27.8805242814601,30.240820814791267,34.34118109327213,36.51096375827284,40.79662838489367,40.813917650858784,43.53878048448635,41.687254175264016,44.20652880059063,42.83667908320106,44.57026099139345,42.337001425753414,37.22791133087072,39.701170536304815,40.18401086428056,35.671035417415936,34.460964875783276,36.480050138692185,33.75037334041388,30.221325434952416,30.491415143936653,30.259118738120087,34.97361700978372,38.09492199157799,39.24157185982612,42.79638288510317,46.507902284152884,45.24868864135731,40.44013040034451,43.07044472994745,45.575953216797316,41.37554077205175,39.171780805982046,42.89875138341883,42.469199906528736,38.39244317089879,41.57052468892187,43.7051317259921,40.651115312893644,39.251713460091096,42.25732147616095,39.535807353622076,41.6335199615986,40.43445674076795,41.95081886394203,40.28341554726885,35.385874911727285,37.13524507400717,36.80781450402605,33.87216767900988,31.66567745031505,35.32332383260101,32.8572764641793,28.22876168285882,29.348273005797193,32.07239552342211,29.084435837010965,25.566214054396234,22.612672681879676,22.446875435135745,19.193664853683654,23.715949508992804,21.149727024618187,24.150410570757636,24.44860418716795,20.094716044722176,19.420098189819953,17.910598610489043,19.278339672999863,23.868256027001898,24.10749124465678,27.306924893283817,26.735773598796115,28.514476371696553,33.8543220645044,36.30035066832951,38.346907458776776,33.51634608515654,33.789309434133926,37.962163006005646,36.20631588392283,32.24021312104041,36.19697930030134,39.59015241258373,39.585797529995496,41.798462037064546,43.43208983445107],[35.941157419336925,33.58179901665562,33.17056380058638,29.307277275890208,30.18988476207358,35.37874626636081,36.67758403244951,41.22791309900783,41.73663140213058,41.50019734965262,44.921275881952575,48.04165617142821,45.16811741795258,43.628392095630545,48.589823033742384,49.12926987790914,45.32933273513212,48.40735818257635,47.62807233578741,49.3690414810789,50.85962082890241,53.01794462523412,52.2373666461627,49.505708126322375,47.47598267464058,45.74695805283603,44.844014261499005,43.627303427473876,47.12242987462031,48.86303880743546,53.65136061295157,53.52715272524381,57.897973076024044,60.19781445595482,56.662625988441846,53.43075484555285,52.452860600067226,49.60339766984238,47.24697326265632,50.797035143608646,46.06649849605174,49.240800033844344,52.458525368118515,49.32712259391691,49.91771687080305,47.28223786055292,50.95963594195849,51.49629341397615,46.44232764181561,48.75508350504386,52.93073179138218,53.006854679297156,56.15358418798492,52.33547448727572,57.47864569737495,59.39634929861857,55.812338771083986,58.509709246774754,62.15166712250488,59.20240820577593,57.972686312283756,61.43879401085018,61.57215093089816,61.99565037137882,58.14976094893367,56.25312238457323,54.4006825768244,53.53514649630112,50.85008402158718,51.166895720910645,49.45872334994686,51.862988571816395,54.508062908674866,55.96009109711518,56.48869471492256,62.26163024683121,59.67717518196712,63.60863680244404,61.28420565384151,60.46106205553527,59.103049370765945,56.335582596269624,55.654032205371934,53.576364356993274,50.001046319770495,51.31403582179179,53.34407662350649,56.45302171726259,56.002081101241714,61.20131594409823,59.28512196585325,62.820302177711525,60.61339787123567,59.58590466840431,55.19088929439675,56.72467080354981,52.5625615754005,54.88812301843312,52.72562926651792,54.90983599693974,54.260990907323624,52.49616606066501,52.32409519102355,49.273170497927396,48.54314061514635,44.42787541840523,45.63958193988667,42.15742279000579,39.28757710979062,42.18170565232861,38.837621360428884,39.12958444258936,38.695811581288076,36.87190782095659,39.14022004387343,36.60454526883738,39.663539053046144,37.054056424007186,42.23119765446887,43.932018963070135,41.38988207716201,40.10543780221875,35.33090170741942,34.98567110544731,35.022173486130306,33.02461324612583,34.65113443662544,34.5768755468978,35.32572692912922,39.16406803477737,34.633652766606346,38.282385969199964,37.52971715176494,41.72600528489728,36.353195045766064,35.50470070055119,30.06522946342882,30.83063469215822,30.113526758764575,33.66893437291775,32.60494002160175,36.8384738690315,38.6266196014414,37.89653126091614,41.37641181511261,43.04402737815653,40.377874448882345,42.30900045189056,42.25299814765737,42.25658931227553,43.807449800480136,46.136441179718595,50.09115270119556,51.495912931031945,52.462167701759405,51.77858529509742,48.99191125711762,47.91033680921783,47.861797388609084,44.81945124869536,41.51900876025749,44.799645461870284,39.37365925571039,43.0668659983098,39.521970778552635,34.22434486344706,35.341936550622776,33.005533464895905,30.36197340258704,29.7710381441924,32.29517915255008,34.057895403112774,39.13491979270954,42.55591781179516,45.818262809341896,48.56133213940874,49.41452714766446,53.602771948051696,50.65011681946348,50.60213065346728,45.8812204824923,44.32990128140882,44.65999604911745,44.59872233822368,42.40388278864387,46.191138172130294,46.82243756866716,48.70833160321495,43.97641669890068,43.90348650310808,41.283215430772735,41.09658812316644,38.29418981656214,36.80199726054456,36.91320250815003,35.682924995010836,32.829232724570865,35.04648133710331,33.13098005026193,35.989809482248425,37.3569902326701,39.652753177764126,36.492680402946654,33.876544808961356,37.75583849687394,37.11898386727011,31.138125506825492,34.110970059027125,39.396376250075626,35.09260785598709,33.29407062893793,36.836570223090895,37.94937410239839,33.36090912155037,34.246951166525214,31.82869985471376,36.296264666840905,30.192637251289753,33.113667591360766,37.015117630567275,38.81970830933315,42.941562159099846,42.85009236364445,46.049749367434906,44.53155582946412,47.23156738019442,46.35763007193339,47.71859777083431,45.0887632240065,40.49028832298076,43.11055112897971,42.95809278726787,38.433884088624986,37.74873068084386,39.670645141983826,36.23036752814053,32.98146664445777,34.00845493137498,33.99662562984171,39.1868722822408,42.05932126217239,43.21554659649294,47.02354549895016,50.62079184824102,49.787217627385445,44.90368595555176,47.23466247745378,50.059074976145105,46.09956428684061,43.54609905963437,47.227538807513945,46.98375219573621,42.76669487723802,45.5325005598791,47.76022163056049,44.83664704711054,43.008180318274725,45.75922111619395,42.95523749731685,45.097747593011654,44.199348777369245,45.317558043856614,43.32968935706302,38.86200834037264,40.51941839694219,39.61313620116488,36.751046853541126,34.929651994159165,37.906938739761046,34.94474421879256,30.91141095767198,32.12091797725172,33.97598424227234,30.651026095196443,27.60557218357334,25.289090893000562,23.86437198970592,21.116652339319018,25.592883892287045,24.09424687184718,27.654977404101473,28.60899259742553,23.99236477946902,23.460496717943034,21.403308541102017,23.221347222998986,27.806916882186385,28.929776198998834,32.15410269581741,32.10227794371763,33.61309711311321,39.00122891280672,41.2017322951591,43.56319172912725,38.81386783172001,38.67431601280295,42.91821768921535,41.5804925817915,37.34970750115481,40.91834401756214,44.499008515058875,44.72510710771596,47.0352539302231,48.72964442809936],[37.06806893377835,34.36848547679569,33.39721142957,29.86279788141599,29.77253448746829,35.580822691681064,36.66474320756639,41.05973593258016,42.05660084426114,41.70946025962776,45.273921136158556,48.18840646319295,44.9543384699247,43.88572379132811,48.67419037218755,48.850611860969,44.94265240885654,47.93048646858434,47.11487502526482,48.39078998229565,49.848086515677075,51.60294979615157,50.95457172676894,48.13476047767979,46.05789837956598,44.73414357684383,43.62049312703537,42.706778761081964,46.278909280978404,48.038118086318356,53.248264276964065,52.83272379508564,57.31934354736318,59.457871892628546,55.69587976534013,52.453639689724795,51.22996313455532,48.17920323012372,45.568648631928355,48.56897898188723,44.059053751730175,47.64165247975903,50.57076031715284,47.22335569231028,47.84261436215751,45.02653798624071,48.52443134655142,49.08482603834143,43.89896067456263,45.858904844441064,50.033711843033196,49.99480076205514,53.29945407127166,49.748911998824646,54.799440196279065,56.86705538735918,53.5462370584498,56.45685645624761,59.954228585693635,56.93767618105922,56.133639850500245,59.85913933198889,60.20034211894621,60.769360492460834,56.789193376657515,54.95339365678996,53.63058303278933,52.904420422148135,50.621500251939494,51.1840031208428,49.6743430905551,52.32824826785313,54.6671178039918,55.78670591392814,56.11547799015706,61.71504217060822,58.73282005204237,62.6281462569682,60.011190799294866,58.84878336725672,57.386648210316125,54.27567363047846,53.64783042630714,51.200384137916444,47.7184798296655,49.46466025393267,51.682811195195164,54.93199004844509,54.780580890808906,60.1582315339563,58.570495881984264,62.34411214090263,60.31477185842873,59.31775172960125,55.044130522231,56.89504281904123,52.83872079245492,54.700093345029046,52.52395603250196,54.64620790003774,53.53071148275665,51.520170857063206,51.026429187376905,47.7955873919255,46.45677027083196,42.56274819140947,43.4792561562079,39.758272874956006,37.27291229710997,40.462007259892694,37.56717031032016,37.83171740305105,38.00751952789301,36.03689983621088,38.7272427572109,36.121302563158615,39.13037358227638,36.48691616694047,41.82783223685311,43.62883918973266,41.4093501114732,40.219563397088656,35.43903796682245,34.98963206524185,35.029028075367485,32.317431865304634,33.94800356045279,33.24210096033334,33.58033808072259,36.99160782363233,32.14975722667479,35.44482608523169,34.47867210139775,38.95943808362589,33.71833684163305,33.440553971920025,27.997828019032998,29.185872052470515,28.926239052546837,32.29281495507226,31.367214233170852,35.24826549303362,37.441253889345724,36.640501644180596,39.8488969445603,41.80550119672185,39.278424686317116,41.35741348668661,41.16980245211655,41.63777234248463,43.022612876140585,45.84934831689122,49.56520945086181,51.5321403729483,52.43211089015818,51.32894169825864,48.485809511177,47.02079304877811,46.93209983959128,43.43250357710787,39.874598630001444,43.254507781608716,37.67824914565985,41.034723461342836,37.04512259405106,31.757806809341208,32.388615403963634,29.703204616864717,27.121178969578704,27.14350086154996,29.660099444796398,31.894913011662755,36.7751759118291,40.32207740522735,43.786594515330066,46.62490719684057,47.90638629737683,51.72956832593757,48.53388682827237,48.275679313779925,43.35110609430005,42.03443070357993,41.76639198480123,41.38834487469123,39.40655245109058,43.26160179430525,44.252015952660884,45.71737501571481,41.17504196241816,40.63248796142627,37.777469102918595,37.75323931359095,34.721010991826425,33.317067595713624,33.360733647807585,32.02016223898883,29.65582006838816,31.935935156096225,30.429890100658536,33.7095434913942,35.04793930918933,37.7631207240607,34.825783173268384,32.128270683017995,36.12951852529428,36.01393419272524,30.19269417231375,33.022908209839514,38.524573264928314,34.796677111826234,33.07956944773998,36.631004899300294,38.08207261203159,33.90388241679189,34.67852416406149,31.900486656415893,36.22219443178321,29.53443167756579,32.161633145438216,36.099075863101824,37.30102421075561,41.67216228433247,40.96728358850588,44.00274347517032,42.25117433850095,44.69739428559605,43.80427514524469,44.740873722111445,42.221784831149236,37.81750591031728,40.10266483809459,39.600693906721595,35.271167604175325,34.592232565926096,36.105845829386375,32.56550203447293,29.648793281282824,30.491477835130834,31.145407382789553,36.293384723610515,39.12092945204683,40.726334309244095,44.5637133408023,48.376640230814274,47.652603408176105,42.788266063521014,45.40881938332941,48.42298916803163,44.594413502174774,42.15559502293979,46.13126462516069,46.173284842049966,42.038342031606476,44.64620424742357,47.19434426416107,44.675594942398895,42.632140715156396,45.18100688772373,42.119843587631756,43.827822025231846,42.62467833210646,43.40903570349479,41.82927324735149,37.473053983138925,38.50015751186215,37.65213768789605,35.10558269097558,32.84875537354995,35.39382302538632,32.80073007718224,28.93622627837828,29.440179717125627,31.153964716290815,28.2731277869966,25.379555468225302,23.69692308200455,22.084579786275672,20.161243093344233,24.99199093161982,23.926993458747177,27.049428611516895,28.592078400467017,24.237651419214963,22.961152065856595,20.352956365119294,21.551191809228424,26.008998308594148,27.496377220220772,30.22245843854499,30.760516963092453,32.761621419452005,37.83272334557961,40.10250118246319,42.649235036786635,38.165219693286154,38.24609411020275,42.62058118138465,41.43491183876749,37.53353315743014,41.17216958188237,44.817233050240205,45.07408681051893,47.2114857726457,48.81725069354812],[32.04446986721094,29.197131135864694,28.061663753594367,24.51242751009359,24.24444569616766,30.130072761689416,31.254487680749744,35.610886037002246,36.76146915307571,36.5922388230515,40.213831601615524,42.978457106194895,39.880848714996496,39.01289918803976,43.82483069754737,43.945233428214046,40.21841544276168,43.44706134061919,43.05372350447396,44.25035939231711,46.04564311310606,47.92403512690725,47.54956539646856,44.94993431970186,42.558636215451166,41.022871454000715,39.58493560729932,38.35642316788054,41.70512751862415,43.191923074845434,48.524941679003355,47.84188753432203,52.32768065969602,54.65426152804168,50.9088130665029,47.84064709979106,46.41503391898163,43.738081456935824,41.2374111868585,44.46922226788561,40.21082058096428,43.736659227958725,46.82535304461513,43.72803690155095,44.730581465784994,42.21271263430107,45.83383992682303,45.93267064205351,40.76117174113314,43.11954050851507,46.99389924142094,46.81743728398684,49.93199594674637,46.04029982977755,50.9696705643525,53.27106641481704,49.88796314593047,52.47408622384304,56.16323257541064,53.48638897081893,52.5354414760335,56.08547659199705,56.17823286576059,57.05301363822649,53.14810735276381,50.98839139839844,49.7461989867945,48.70879350015522,46.58015822416688,46.87788555479379,45.560729013433956,48.38315550617046,50.51064699010489,51.81706861580638,51.817951108617144,57.49992448472092,54.50104198838881,58.239551115726805,55.63781607257242,54.618140438078626,52.912123042630064,49.924967541821125,48.9917961379709,46.73369442884084,43.345664839227865,44.89700082693336,47.301079784213954,50.2715155476469,50.34416566088202,55.54301994809165,54.03014416831564,57.870373368719456,55.699317591297415,54.51669162215936,50.188448498537824,52.04350976675399,47.95742114590143,49.62223991659137,47.320536826639405,49.27386380389534,48.288866974722296,46.13810671396492,45.833677901068626,42.49489319972228,41.372816018269745,37.32846907347314,38.30119867334367,34.67955273290931,32.00191656459016,35.09983977179525,32.098333835479785,32.48971818472029,32.6376280333725,30.866277499367698,33.75338715528067,31.376886786506404,34.61107567022797,32.33047488835836,37.93512120940478,39.32101971384227,37.11286626357913,35.65825227029973,30.94879119213838,30.166737305512616,29.91289016871777,27.13479413156872,28.480846521385967,27.8871930285528,28.252403213974322,31.868221775155988,27.123244487390053,30.63219803186317,29.915562111907377,34.20717026463588,28.975512534588326,28.474852430208077,22.90570940140475,24.259631137136765,24.202964767108693,27.75014881294324,27.46074345878089,31.66536220903474,33.522170077891275,32.361383866768456,35.611216352769574,37.23026326471272,34.56462127411234,36.36587083561397,35.99167657498546,36.3232210198157,37.574878675482914,40.393941728272566,44.05303132041708,46.04051609748328,46.994611335625144,45.896198576273115,43.13855624239452,41.62860662517193,41.71142412969758,38.1806189407021,34.879018258624846,38.47568438366743,33.097823322977774,36.64110992557574,32.89000983233409,27.831561900996945,28.405841388599956,26.24479572674763,23.22657051613766,22.93500835748688,25.21193354844453,27.32065209463897,32.24620566085315,35.65600521203963,39.029448188132065,41.68306015954596,42.925822333242664,46.79045760247895,43.834324890511176,43.534487784535244,38.84461669994356,37.144167100525706,37.25569287135961,37.196544064447394,35.18009454949072,39.28844638625972,40.27347518702295,42.12575091852152,37.84558122040199,37.35972211488569,34.64507070288246,34.15381920148489,31.082022002708896,29.363841805608768,29.30602654096272,27.981827365954885,25.105280837655027,27.336012407941514,25.59309010741555,28.589498960834874,30.123359815931842,32.584046999388484,29.500969676057714,27.012334244659733,31.097819488687158,30.725380726480907,24.940115350560518,28.046444831678773,33.45627647217223,29.594079107621894,28.10398265099297,31.789065795049375,33.024027990676174,28.996053079040667,30.098325388883982,27.325117536703893,31.854295555724946,25.517935341283394,27.769325191494115,31.853177371732013,33.38545507562488,37.86532863777799,37.33347297991758,40.05746025420557,38.12055977529055,40.52577692540112,39.329768585775376,40.64686401385573,38.335101899410965,33.510356837209784,35.848802618688325,35.89647952957345,31.463611094739562,30.447571163712826,32.25092106922454,29.19081910897251,25.88382851508236,26.412272557115458,26.59831976608648,31.597098859291403,34.55269980189433,35.97815154049921,39.70525551848069,43.51143823072682,42.574045454477535,37.716733570531304,40.40387389889683,43.244296359242995,39.29198322921217,36.96822587141384,40.94033463157228,40.88022540261268,36.79681563656775,39.61948783742319,42.11031957425732,39.530256265195085,37.701483070721274,40.401696597983964,37.39578081676216,39.11620930995494,37.77418615237328,38.85637759064095,37.40660426460366,32.74872940144041,33.94052026574915,33.45638775360921,30.792672712380053,28.34831031203428,31.47902431018947,29.14949373427755,24.78266934938493,25.403631074667334,27.830463159163845,25.079069236186154,21.73912048407207,19.447466148529834,18.851182974014733,16.413925439019263,21.294343336222937,19.479269066145466,22.23230172679882,23.471341825414942,19.294627495003397,17.848469079973427,15.501527382634874,16.489415353397032,21.01148011948513,22.092718157404235,24.93191972111031,25.280792218339766,27.25992009841489,32.35350362590794,34.67854883509719,37.141392431658595,32.62994840549904,32.805227382626846,37.16571706081887,35.91287814829958,32.09303283607919,35.84242786173435,39.43523402407704,39.64610746721895,41.74670879354866,43.355943573183986],[30.582301015106435,28.09729564814003,27.501702395893748,24.302553064131644,25.128606918716308,30.51365367467021,32.190335365903834,36.61675760356048,37.58870911479399,37.87201627761067,41.4216047109757,44.18300439090856,41.632147077068744,40.54624032601344,45.548136162739645,45.932595108313635,42.468729102627066,45.943399362933434,45.82877721204359,47.30597773554089,49.28147832459607,51.45302909257494,51.10206029623405,48.63100037080712,46.16910963733211,44.3064822919211,42.862190699933016,41.27064079890711,44.40679002626928,45.651817730477546,50.77309442284806,50.052553198845835,54.445345965306814,57.06816037155915,53.49368303227323,50.58425941743287,49.13956020972038,46.882995056337336,44.59495980955796,48.18731242657108,43.99287153558352,47.279384866637436,50.57620666231851,47.687581341307386,48.8015243107629,46.449090170286,50.166155561508795,50.13147506731129,45.02754480514881,47.60859905637419,51.3858337851134,51.17753403867648,54.17437868678451,50.07488391261023,54.94259923345265,57.318148020461315,53.82497097420996,56.163887495728844,60.00097712790875,57.50160975127744,56.31156532343189,59.64781526881244,59.50673966191444,60.4384673243568,56.65222892877202,54.31735957387476,52.77735963931579,51.48710158220191,49.14178993139757,49.086919312827135,47.71471170956174,50.404334018180684,52.68647207760027,54.36812465676129,54.343708454588985,60.19676694195595,57.463813678235574,61.122723991299154,58.711101259180495,57.963102467343276,56.14626312142967,53.396239534437356,52.192837558197404,50.20897466083208,46.897540113101016,48.14249095547798,50.5941494551145,53.27486366600658,53.35748405233745,58.308689632367866,56.64027914291618,60.35163771890858,57.94399093879567,56.58222999336108,52.10650472571273,53.681236218542715,49.461963121421874,51.33080141669233,48.871590907793525,50.57166826910735,50.19417565429885,47.92466040428068,48.138793837693974,44.66176968020675,44.031706421180935,39.695598845462186,40.61168451354527,37.11911435818159,34.015259921975215,37.01161756608466,33.73168267887518,34.589405450601895,34.33401951411856,33.02018358066049,35.80493049431867,33.71124737027251,37.1466354927673,35.119537600152285,40.71703543899502,41.8026280740655,39.334629860537866,37.61166228834016,32.96431170818629,32.002250651923,31.40682870082787,29.198710741464936,29.954706445651137,30.018554664796405,30.46786568135272,34.49591955238111,29.832232813358335,33.428691610627006,33.231105238482094,37.328599042419924,32.262264562054106,31.47932424886479,25.78357758893191,27.239640692303126,27.113140505669467,30.881347886113527,30.85431424648178,35.37815547508278,36.85266013420402,35.55850320878383,38.973092946600175,40.20053399044044,37.354913498334334,38.78965008296603,38.26391522450354,38.062120136896255,39.116950947289354,41.50351301465171,45.14600047093281,46.57705577983938,47.885667982763216,47.21189010621961,44.70516581162167,43.36451288758606,43.80023574902695,40.460808491651825,37.67017535406967,41.43564831617774,36.33153325102419,40.133094733472376,36.7120386654794,31.822988099950777,32.45473754270486,30.628875679350813,27.384595432582792,26.85385289267504,28.910467752832922,30.79398014403569,35.75794595973063,38.979844201880425,42.188100176732625,44.5806954100993,45.63109096921562,49.64848070869426,47.04573611080743,46.72814878613414,42.34501114142976,40.1723632583083,40.71279799217944,40.93946059825069,38.96498273801186,43.25785042445584,44.181004783371414,46.31053332608331,42.12886050518701,41.751669687076294,39.119458258928546,38.39022334908627,35.2650613825203,33.30021685061861,33.020292149073796,31.449449013710474,28.234660667990017,30.026103062284125,27.66780332006111,30.46134556826052,31.498358619640133,33.76357776693583,30.71979018282304,27.843516594286463,31.597207305651377,31.045851041130486,25.03233397818859,27.838517480255287,33.147013157470006,29.00502879282726,27.107852175426554,30.615471938289303,31.9114600129863,27.458312089033264,28.210309582741647,25.658617379724202,30.10910373845148,23.973497900759316,26.8006761395602,30.73042668769576,32.63707872925071,36.797068983121534,36.80417846142393,39.92271675527614,38.43207091680245,41.21489514415152,40.37995974398375,41.94598048617436,39.267294044554916,34.58101783735631,37.42050767252402,37.493032451992555,32.84868313288919,32.20649884442946,34.49655504513298,31.121102308396125,27.590690251492955,28.98696830128585,28.375259124501675,33.767764612889714,36.498661176800304,37.33078199661797,41.1975228084979,44.61947673234164,43.932811064663305,39.027295263945945,41.11095727421164,43.999627923065916,40.156711269260306,37.419972051801516,41.04890864699486,40.88311709186662,36.6255577754688,39.26207679283602,41.539700351637606,38.73947889612397,36.76987556155388,39.464536978927725,36.63059406007369,38.771945043239285,37.937480338455345,39.08625806617658,37.03138799442418,32.555969875273085,34.335173978717386,33.42929815641336,30.495655474648075,28.784947642473313,31.952279346650126,28.958481868672315,24.772779296190716,26.272176439480482,28.33785939173294,24.92953708828772,21.688193833512535,19.072882399356843,18.01128204306905,14.954714120178874,19.477179193197905,17.853882729806852,21.365721614377257,22.572842693411083,17.989351325484172,17.326276807735095,15.163764468996414,17.208941066947286,21.747619394767945,23.20221305739679,26.611007633018154,26.867702036461402,27.957372374979958,33.36846878652174,35.33950866903569,37.94456448289664,33.31281659646922,32.849516633279045,37.155859294207566,36.25712603415957,31.89709998377696,35.20535616356109,38.933324777512084,39.36769081706964,41.68981627908064,43.44701936053372],[35.578343280523775,33.11184686819364,32.38867893257887,29.627288314424376,30.135639106597097,35.77316214200178,37.421893514900844,41.77453570135527,42.936599864322936,43.14620406622493,46.732872595783256,49.45756795021872,46.71816405281796,45.74786229436981,50.67435612736515,50.92773064353328,47.32555188322442,50.64336176573771,50.273102745060996,51.57769514912359,53.34187687495214,55.23781057077148,54.78399080244284,52.122293446243674,49.83013792906308,48.296475657000975,46.93612478308981,45.672524616270415,48.9736803580293,50.35964488245669,55.636203255310384,54.8904577849455,59.34314088190907,61.815291543858905,58.11406504359299,55.114741176874475,53.62805566875042,51.08122360217746,48.58685751414582,51.73502395053614,47.534202164818005,51.09058410259614,54.140401664503706,50.97182102541899,51.86806375519661,49.21983554045073,52.753977390095535,53.02700255406451,47.831305492363676,49.94665606743872,53.91385751889414,53.69651502292668,56.91971732218423,53.18231708380194,58.05782292627284,60.412325904600806,57.11253604245552,59.76986755796004,63.420983301544744,60.67636301431737,59.82486864961922,63.41104268992747,63.52663261393995,64.35521905367486,60.450862131895754,58.33703470537653,57.01003797151684,55.96700595301186,53.70844744577498,53.91404099646855,52.50851966347473,55.20189565096886,57.49256393913785,58.92885134717913,59.00520068665109,64.73995557225254,61.82281822566052,65.55377983516189,62.97850408934197,61.96750521150056,60.209154221536046,57.18541169955337,56.14370961611082,53.826366911165756,50.536015866262275,52.15228634835993,54.63513173519308,57.533402248029574,57.67624362004347,62.81737044656584,61.27493157170701,65.06810435904049,62.810295779240306,61.547897342137304,57.14503842946149,58.850410917581215,54.68116993031584,56.43622652180398,54.00489169779095,55.693336582651355,55.08619519422965,52.68472309558652,52.69764832832522,49.09660424687167,47.996501368354906,43.82662014250695,44.43670262654761,40.70367957696154,37.89174528493578,41.17822658754728,38.243130199337,39.14875881801699,39.25842937919439,37.822827324239434,40.751616017583686,38.51138295997956,41.81711815631031,39.56164817483854,45.097509782337426,46.47665340568361,44.13710902426353,42.59687901308151,37.89579871631075,37.06096372608435,36.59300036534452,34.06432812226646,34.862757925333746,34.54998461714482,34.67468219823093,38.364102308416136,33.36435816263435,36.558848761974836,36.20251949292916,40.63163939986482,35.69570735760211,35.433933078495464,29.73144158792817,31.45152951870547,31.505205281961903,35.101130844564935,34.79385008460331,38.9615436841231,40.856807942165354,39.72659992135479,42.98387036521188,44.55130795711206,41.83939922397761,43.478564919615735,42.93969566629952,43.017798747896705,43.9780394072213,46.605378725215694,50.09399945027215,51.73608966973135,53.08444271758304,52.24415551450078,49.72092541927802,48.17536977107526,48.577741397631044,44.96245143250967,41.94817177137199,45.707091650219446,40.408708816978894,43.92702543356912,40.085093071758,35.06236839614051,35.376089955914885,33.020349520921954,29.99615944377139,30.082681033561684,32.24943489650196,34.54106543663316,39.37215134834946,42.746500484875256,46.13887201659008,48.657151900141535,50.007293968944666,53.775990177224855,50.92903781293465,50.46515875979123,45.84388684708093,43.94897521209351,43.88850427753557,43.73831942405502,41.969811675443644,46.23646523272036,47.43011804813473,49.064657407370085,44.86548194749581,44.11874617413267,41.22316535355362,40.8439292177631,37.512280946509165,35.72210816068545,35.358986074453576,33.560278396108416,30.968219045921888,32.68849853298535,30.603820132684874,33.92444383475679,34.578898252064384,37.340726548681694,34.62424615562633,31.357747362068707,35.004574036772375,35.056205281374375,29.107946106233936,31.41062662319261,36.90528243599938,33.30814502244636,31.151304248723758,34.426832086230014,36.216399963082225,31.884812077137443,32.08809454808746,29.355505846635054,33.37244117930822,26.57692627272371,29.677047480336913,33.39321848574569,34.61148745571162,38.719247444740425,38.28461224187293,41.710505515524346,40.388197336072295,43.159989299049684,42.73450051774285,43.7294239967797,40.793688452239195,36.6979308154909,39.43378868849431,38.757547883196345,34.26003306622192,34.07288120985113,36.010252096511024,31.99162517075378,28.947603418630134,30.83536123942289,30.828566952676496,36.49603726407733,38.997938762710724,40.10475627055537,44.156194737991996,47.59954608824955,47.297670556961826,42.37575603582197,44.390339344455064,47.60719333910772,44.03115018497772,41.12677419418239,44.852982123312735,44.975285461357835,40.692119222517626,42.912014179837215,45.41003970356058,42.934299589480574,40.54706214497489,42.90769638925106,39.89724896199967,41.82130208136888,41.069803854068674,41.69555168993019,39.61817577234453,35.61245831814219,36.939120473721744,35.58240505702266,32.92832034703069,31.31705070704117,33.602845963395204,30.41164939994373,26.929749218084616,28.060003935701438,29.220954215873352,25.803758219015577,23.167091392069526,21.591059889210698,19.249391430850302,17.32200464460935,21.830139694513967,21.455838948986983,25.073191073403986,27.035281539292576,22.515535053306564,21.602796816223655,18.826795680825978,20.75736963613995,25.103919510099956,27.337057726744742,30.42289531058156,31.297917314624797,32.51604844992847,37.74332702406366,39.58669351158165,42.46698440395681,38.04455043610968,37.45050617306275,41.83410455419098,41.25350050524596,36.92520434684475,40.00348429295742,43.85374416568338,44.43586644450405,46.724976553475166,48.45992534310052],[35.11110181164011,32.3168915366349,31.059343974343573,28.540493474579893,28.12702248924679,34.24279458582332,35.66484282889039,39.83750964987217,41.42437864420036,41.55428486903585,45.242559745825254,47.75129916899235,44.74501090395617,44.21576307871785,48.96702602633338,48.904270330438976,45.27657116920222,48.55297671906548,48.262673230581946,49.16017522229519,50.97654737764943,52.57337646694429,52.30468130770908,49.65453617772957,47.25145659725845,45.99237882773628,44.38513599440156,43.29249916629786,46.57377464532448,47.90087086986145,53.51990924182141,52.48069076271695,57.00633890296111,59.37396571402788,55.50764830392082,52.55622738884676,50.82890246501491,48.2267648452728,45.57063869824802,48.31503484597132,44.39895721163911,48.2390151782995,51.08325575550481,47.834861689113154,48.8624475852434,46.189298651836474,49.586269162234665,49.731396634502914,44.489075131164036,46.42674014283255,50.26409963607617,49.93067166827754,53.19075090498894,49.58440576157627,54.31553516006156,56.847298769522766,53.75296575761135,56.47976201983256,60.057410591283315,57.36838560845024,56.823667700232846,60.55054261492801,60.763660208170684,61.787224682389,57.814791393705136,55.667729134060494,54.79434877700015,53.78948049671578,51.91106735501716,52.2509054472573,51.06157282089,53.983729746029034,55.96145597167054,57.16708668479437,56.99684308862953,62.58594741658168,59.35315185542166,62.99866206721484,60.2002624614578,58.95495134000418,57.05792572605874,53.802145256612604,52.73020621043641,50.1713270460082,47.00041314854996,48.909759336712504,51.58057665782168,54.5069183030931,54.948704416342125,60.167334248431466,58.91766669762195,62.904983109138456,60.76885621278212,59.49732549627259,55.205986598909135,57.16956254962564,53.105580180771945,54.42523181117736,51.97554565472266,53.58566335409956,52.60094224039661,49.990731637144826,49.764053304101516,46.018547252619584,44.462677596595945,40.47124140685303,40.85390123715249,36.961377066387186,34.45991757098949,37.9515320016484,35.39932398435409,36.282881729640316,36.901864274454105,35.39442821158445,38.68459633545195,36.46296657931308,39.74645286504668,37.579664848837275,43.260135480396286,44.60286526520481,42.546987770816216,41.03676148314138,36.398288735175875,35.415031211618775,34.89794530625833,31.790126435907606,32.531870281750955,31.698702760733664,31.477026634480463,34.81064403220109,29.607190662551336,32.526859318097394,32.05475533455951,36.65047382444349,31.86877243076398,32.044155769870315,26.3786846170832,28.490296857417924,28.986291867594435,32.41638988267936,32.406884371438544,36.327521583026154,38.425294368200575,37.150901458765404,40.16307965211983,41.86278805785235,39.25470035218301,40.93421638311536,40.25083262218913,40.69368416709401,41.49256355164153,44.52748212264502,47.79604024740135,49.92887492820658,51.19238370154134,49.992366374990816,47.44025985420204,45.57688356168472,45.96713382247396,41.99141711060677,38.84032116920569,42.7040802078961,37.381113074778874,40.638484147170765,36.53146530417191,31.652503636179347,31.516510711133854,29.059208828765826,25.97903785200671,26.516554536421953,28.560234931898517,31.192766806577296,35.81285076457533,39.22305355160813,42.73482089510441,45.2711724472441,46.95663326885869,50.41595863225812,47.440539056616764,46.79592291143517,42.09394745411679,40.30689839656679,39.84477544429197,39.51944159591867,37.93228805269777,42.3026008960849,43.78853964451716,45.17118121855515,41.24178685112195,40.13153467808996,37.10183526291563,36.715909258605805,33.19529173316104,31.390456028173322,30.929641476039514,29.038866274727155,26.7479059367983,28.49777522812944,26.735316686664344,30.338603587744824,31.055415852528373,34.10444056054307,31.54583804409164,28.322929194900624,32.11181827027878,32.54039963378897,26.810085247026663,29.088347141575017,34.712823110082134,31.599137338381265,29.651101028996955,32.97758971999519,34.94127482782347,31.074012881199806,31.352746254748734,28.32927147567211,32.28289993580176,25.151277954928517,27.77058462968866,31.570693141623174,32.342793452184075,36.729212399437955,35.772731465245116,38.90052985098406,37.25748411075301,39.755015801610945,39.16774884432776,39.909234440886436,37.176307193590766,33.08027595984045,35.49895867821952,34.70747781948512,30.349349601694602,30.021330822104478,31.659954855140214,27.724751046174767,24.856385015541985,26.435338839007372,26.923578315642953,32.47783515514947,34.990529998795786,36.473731458089475,40.49464324024508,44.149083198195484,43.84054401968777,38.95532814716748,41.28928849946813,44.58895025321942,41.07842996946394,38.361727331788984,42.35366667593176,42.683075356302574,38.52269182126007,40.70267580285763,43.4554792245454,41.316416980199364,38.864532988724804,41.10901615799176,37.89864487661919,39.4099086355031,38.29728721759293,38.73809076522043,37.12661722923032,33.09720158427854,33.87192896825611,32.7430415260644,30.357474433911616,28.222296239858316,30.32137704757783,27.628065494229052,24.10120793934479,24.538462994887908,25.86344994062319,22.965042050003795,20.290062849662014,19.138340169886945,17.033753239613727,15.794607842864009,20.644563183745035,20.36967064799364,23.346849055065583,25.682828113379628,21.55517461259156,19.905439235856615,16.748157132257802,17.933529181695217,22.117071949215735,24.519782644894633,27.132074360172883,28.466465688628848,30.135311791899262,35.03228794874944,36.970488435892115,39.943886959558306,35.76838110505991,35.45196960343976,39.90986175993539,39.38655346923611,35.437450753563866,38.63801010252471,42.4763926617876,43.02786230599623,45.13811333238836,46.78104684810056],[31.30798485987621,28.44471132270008,27.092666027420496,24.771618763272645,24.365270167379528,30.476458399534685,32.046612083695585,36.16654225175042,37.87881910404666,38.24104763147555,41.949703686229796,44.31923800935579,41.52125816520934,41.132314819771274,45.90775801333961,45.8363135332357,42.40642101542097,45.88930576790861,45.95983256553265,46.82675571174045,48.906870654097524,50.63130648969912,50.555954432497145,48.08972333394915,45.47284352368713,44.02599924826707,42.18310199496184,40.813226761808124,43.87395720658246,44.94455711434009,50.61639993276484,49.35628431851276,53.85815400518619,56.410730417910784,52.58795735280823,49.80600239323729,47.91549342033583,45.676580739582946,43.139459016467974,46.09064663798183,42.397071993867485,46.1464051225134,49.125137765574124,46.102324567337945,47.41225884189137,44.987137387069836,48.466561671130734,48.266167352262954,43.07890782464761,45.313481732911676,48.90370631316118,48.49333288877038,51.57911691818376,47.70593567592224,52.308733204012114,55.02157452926713,51.875890092547536,54.32366993702617,58.06094441508946,55.65453053967172,54.973911247857856,58.53708186750565,58.53413917177566,59.78269906706472,55.8844557222871,53.48031109444465,52.62695666719537,51.35863685628678,49.57905393796534,49.667662555441915,48.61906862907656,51.62922183837384,53.47029428789988,54.859960645465776,54.445565369275975,60.111573348027996,56.90507285557506,60.41080043446223,57.65563304705356,56.55545431335806,54.45881675486711,51.3301784449865,49.983383165453,47.60718070174981,44.53828189249148,46.25758241260047,49.077685167343894,51.73747101853551,52.36177908818558,57.39557887054206,56.18815787783246,60.200741759718184,57.92798550566003,56.49049497512822,52.14644815370662,54.06846008253918,49.97195444575767,51.15570008969186,48.58397785758235,49.999858682058786,49.21658204668818,46.455959660972255,46.46769951440394,42.59578755254703,41.271027635864385,37.114635115497144,37.48443480337425,33.67985728639447,30.955361986770434,34.3865069422379,31.738597559239114,32.85269087023008,33.421870384345475,32.17960877428554,35.6203531490758,33.64523817374854,37.111125724045266,35.27340069694989,41.107862829496085,42.0939202331401,40.0240025834126,38.28391210504394,33.743140196442084,32.47549178847704,31.660019170243736,28.58350036411263,28.929786130072788,28.280441910421754,28.036207275384186,31.58257228364943,26.43514852412649,29.495994283974827,29.35086305391298,33.77233298357964,29.076413883615903,29.080887758837527,23.303165744166478,25.63333202798635,26.326199695980126,29.883736705146646,30.40711621867429,34.56144691959614,36.35528733052805,34.80081950099649,37.83870215848614,39.21780314220792,36.49115234599745,37.88085476565867,37.00903338905455,37.2620467156303,37.884315073196426,40.85183895611987,44.04271983947156,46.106196622984235,47.48998853262925,46.35657218261339,43.929737623861556,42.039321993330105,42.642284680730214,38.657154980163405,35.81187126554654,39.875816150243665,34.77801231829921,38.189166092384916,34.32007046800436,29.69187157799796,29.477041151448795,27.481712627628823,24.049751303752938,24.354091032889183,26.131736418213308,28.64851837148314,33.26312980543518,36.517275661961364,39.926676273569484,42.2614816357458,43.905015012193296,47.395173457411936,44.66755279520136,43.97332077785641,39.51469799621687,37.34258285242374,37.223010226935,37.18570897158209,35.6066985627662,40.19641032329005,41.685204872250566,43.37009903109184,39.677013804124925,38.62105777429306,35.71305447090015,34.945882053933005,31.38575581348055,29.292243693941376,28.684854526177144,26.726362199802296,23.98910329484172,25.56588246123311,23.46070635285009,26.854847336055506,27.573845879121585,30.437317246113636,27.797626685522786,24.58489971864308,28.38836857906326,28.642142476329486,22.863887354839694,25.26034639093857,30.855397517766,27.633417525425497,25.75165688301432,29.15238593818357,31.021190763388596,27.210513669938884,27.636286687772685,24.602822091672312,28.702732368113292,21.76992267461201,24.21329998205181,28.132618392018717,29.21362918537739,33.674084449715814,32.91906352174806,35.89359226109853,34.179021858215805,36.73236695272092,35.98590343452723,37.06974531256025,34.40643356402992,29.98814428440706,32.56836413416464,32.203807022018346,27.689613616747096,27.181384189763797,29.167726667881904,25.52448264484718,22.270259512191615,23.8379524107292,23.76741172903724,29.355459338109274,31.913257145799975,33.141936989817474,37.13399135555157,40.71876981135607,40.314687112821815,35.407756059200096,37.67354551645484,40.881896521301115,37.30562910732842,34.569462549319844,38.51962972273043,38.776159817807496,34.60612553085935,36.89355695821754,39.595372943522655,37.3942223131043,35.03721446636098,37.38712035480181,34.21794591771598,35.80551809524437,34.67312347434616,35.33999228570251,33.71013970494476,29.46617286980989,30.465232867559703,29.522328142366643,26.981140487737775,24.81633470500697,27.38911311272067,24.76151793512927,20.820723456094104,21.533141273393515,23.386845481535065,20.421411142507132,17.35169553368951,15.639225570312993,14.252974129310278,12.484942086080476,17.422853626809857,16.651355568449812,19.487693784912786,21.729766955201786,17.671148535613415,15.923710992869353,12.816256736497309,14.072589860369403,18.361099782877883,20.683613731171768,23.49616901211344,24.77295379725401,26.220321464528258,31.18995163665014,33.0835868060283,36.065506722452554,31.869104776685255,31.47250645675619,35.931757579137624,35.48422491636243,31.502107420816355,34.66100018704028,38.5052788453385,39.113331965819725,41.235630151970526,42.90917781517331],[29.484791789226307,26.374355895623452,24.694018991111307,21.9482226578265,20.86006262952305,27.185012742604652,28.39752781057615,32.47401197744163,34.25324044167214,34.40019070416472,38.13528786752608,40.47573529795541,37.453638790361595,37.211532466052866,41.880873920041424,41.685290983517675,38.20976876817626,41.65397373392052,41.77077908265821,42.51146912540956,44.65064869858171,46.333820589033955,46.357278797195804,43.95673974694533,41.24760965172041,39.82050222308949,37.8614071942384,36.49893370290886,39.54888888338999,40.63538922931601,46.3886803402803,45.10260767743431,49.62976695118071,52.10151918289069,48.23847957662945,45.44335419307246,43.53685058623152,41.25811049428228,38.71320023127744,41.681809545854655,38.024125542271186,41.78662086987891,44.771731231629865,41.81509803368803,43.244608735882615,40.926760380525025,44.44578714752537,44.080293397847136,38.89768102905691,41.289069650548996,44.77933802475491,44.35335631655589,47.37182076860774,43.382217415459344,47.99948155854266,50.72771369783855,47.553728950813316,49.92788368239165,53.692175520139344,51.36929066089581,50.64482022131655,54.178850612675724,54.156532141435115,55.477096854453336,51.58488453436379,49.126917966508316,48.39181311222874,47.097039925244566,45.456297331775176,45.5862523876608,44.638741370023936,47.75345436231072,49.437541152721366,50.739875520361686,50.22305664064924,55.837717303237525,52.55416514046457,56.03726135316406,53.246335014414946,52.13099219493659,50.02345381150123,46.9040788165593,45.582477577778434,43.23498030466954,40.12920454556153,41.825854708742106,44.6447215588345,47.31968514971556,47.96185131491635,53.015285124195564,51.86521448466952,55.92639676553101,53.70758830287221,52.30007984621488,48.01366244588287,50.04766836943535,46.0196158800671,47.078497533503146,44.57184034049639,46.1177623936517,45.079217700323355,42.431252283048785,42.240567341544846,38.49324530395135,37.11744871954809,33.03436736652691,33.609694337946884,29.855045103949745,27.227035354390278,30.5671910387586,27.916717773916087,28.725085581618604,29.40035998551956,27.97548037447182,31.47555358911097,29.465980630763564,32.90063406849201,31.128496921600295,37.017597697608494,37.94563996182371,36.00481088625182,34.29649102493889,29.80590242562209,28.50307794057559,27.764302725052207,24.432660751071577,25.04875708141828,24.14411601400794,23.984928343635037,27.469388692902076,22.437908038952717,25.71137215352815,25.350846932810413,29.700221439110283,24.823088791707004,24.7220728777084,18.980672718558,21.230804508670598,22.00488207753004,25.51335934322101,26.218175516333247,30.358454482880674,32.10596184224788,30.461785793386095,33.45061484401058,34.82810941315887,32.13210337495593,33.58212484367911,32.760110401675966,33.205153414263535,33.96248757673325,37.1007664191636,40.3567216557611,42.68963849035479,43.8273368797666,42.497630922193714,39.937023374403,38.02247826738377,38.44916324732964,34.45659619264819,31.448075878005735,35.463609350928486,30.346153820929707,33.75580513278431,29.933521633156285,25.355051576692393,25.20412729298138,23.410293889576906,19.88308106452508,19.99167117227348,21.754413768444007,24.21237344915481,28.855869517413844,32.123686293804184,35.53211267820483,37.93140191214889,39.55233134086002,43.067065214245154,40.28368972158607,39.658540146594085,35.171104524330346,33.07707445783569,33.058974605628414,33.097849924779084,31.383136406946146,35.93556196836306,37.33344776588782,39.182559776078406,35.50871337859272,34.56299933192091,31.767687744441112,30.860545823540825,27.424858041353097,25.31808854743491,24.87070936672725,23.20217825134813,20.220593923899454,22.15207613662743,20.293334210459093,23.47805237375727,24.82851592070746,27.492874744192907,24.615851201554555,21.968975345499235,26.078144478849662,26.067602416755943,20.477821489924064,23.41682724805693,28.905446083002932,25.582257851761863,24.20435773877947,27.838742887799135,29.32815750531684,25.82092182335016,26.84130150006707,23.82147364840298,28.178609149933266,21.71314466574922,23.46053030237852,27.56513841070152,28.825409475069637,33.48149119409319,32.65733352870769,35.10728538792958,32.96928566200206,35.23859637837316,33.95112083820184,35.251199601235044,33.05096016119668,28.14632060512049,30.4172966039986,30.57753806573724,26.15406278076959,25.033489025898437,26.919643894521077,24.02061270799553,20.598573708388553,21.113486095471707,21.183169344006163,26.267218135605496,29.147343567920508,30.60919265586863,34.36507318190393,38.20081872645844,37.36719295866009,32.509520185097514,35.25064376901343,38.202099573899694,34.384051117638855,32.06302006884129,36.183834821104895,36.33455577433529,32.32837004569466,35.00448099766355,37.70242260902784,35.472018940008574,33.499524091057665,36.0478056497796,32.89739768469374,34.30978853240391,32.759295871811304,33.72839496161812,32.5679594662954,27.913446851945587,28.77627154093855,28.47544853318774,25.975448821400956,23.209246416029313,26.359241138803586,24.423447000810388,19.922558672859,20.199835209111153,22.974429556020485,20.603899275352042,17.124047017173925,14.956619849570037,15.02497641353892,13.051027108051958,17.933185547398267,16.17440423405795,18.20406663751832,19.921532897120052,16.288000841936444,14.088132913071712,11.38195852439126,11.672442639624812,15.995664679051341,17.46061471756648,20.029638649565854,21.022452152118923,23.046339910023658,27.869762576538708,30.090678879665667,32.81046603669448,28.58937210610605,28.732189389873596,33.16480289295549,32.29778852285436,28.71117973496079,32.29404074687284,35.9569382613699,36.32959815887549,38.31107175849145,39.90712382236118],[33.07126570788891,29.97472802345657,28.084426454407133,26.289359789988737,24.862136394842864,31.361992248687006,32.68653277641995,36.5042887515414,38.70012253780812,38.989215264634275,42.75676763768034,44.84890254719124,41.78941387094714,41.902122080092504,46.42234797604443,45.99120958896901,42.55915442957947,45.9315736670848,46.03867053458891,46.42442870954021,48.49965629733591,49.81589337555177,49.92263648701965,47.44460969282999,44.77599822331407,43.721377480937996,41.64286336834256,40.54416112454419,43.573180880380626,44.58181532606987,50.6061181867589,49.01757086885982,53.57112915124116,55.972709442017425,51.97412741463585,49.26003952333289,47.0961804603293,44.77236315649842,42.03646689782425,44.38452181865566,41.066202299001006,45.16879693189513,47.829804737744965,44.6800101528783,46.078893717951786,43.56737770032066,46.8216067650891,46.55061551604884,41.30875322071506,43.19443196697626,46.66628141750694,46.08493885900849,49.272675752902416,45.664481286868636,50.073997959661895,52.987768968677365,50.15868063888543,52.73196880504599,56.31037450422219,53.932525010288366,53.67724026071466,57.430525495400154,57.59370381320812,59.028933338272395,55.057204120412976,52.68606984063801,52.38663844123241,51.2154620990296,49.86790014131788,50.1451069538863,49.3212689036236,52.534786613133605,54.04673412768807,55.13316727851145,54.48542152307903,59.9271974886811,56.37107467767677,59.77484479364569,56.75644413277977,55.346760377094,53.10906140292529,49.67771762657158,48.318300485116914,45.604143540733844,42.71805846633965,44.84924291295066,47.88185111891857,50.58688341301423,51.56788444013146,56.68272213846057,55.83102992821892,60.04111174933759,57.93960722363075,56.51517498999777,52.33593639766834,54.53357028059921,50.59396125443759,51.275972928239746,48.700225670010646,49.98389406793235,48.77831319919242,45.74869877990453,45.477932426589255,41.415220823325825,39.46247956653363,35.58508719364123,35.55662000958567,31.528174964817975,29.277083473825616,33.002744213257934,30.952181520204537,32.0950961763259,33.33048216719772,32.043347020866904,35.86501660450565,33.931485214193835,37.28678085323716,35.53786609723124,41.4142397282403,42.406969215861004,40.6888045964356,39.03963284384829,34.63999270737214,33.262360393828416,32.41934723990761,28.722242701990307,28.93833007230489,27.632232615753487,26.860647345860617,29.82759040293896,24.39584006119208,26.90697070161244,26.643992985636476,31.318552399198097,26.96050656820623,27.666625760860512,22.065236942924898,24.93648923086773,26.196081839918666,29.431666223989108,30.232869993203288,33.937674015176825,36.019939105719715,34.36350279931068,37.03695365377966,38.608086174839315,36.06531149137084,37.502062359701135,36.45121055755041,37.15484970300233,37.52453359690902,40.94664527720114,43.79460222136087,46.400415418982774,47.71915520237098,46.18808611380001,43.77840923051175,41.49968999525228,42.11106552278073,37.68468553036062,34.709230599982945,38.86340543393735,33.78441976433801,36.77594643936244,32.543611611600866,28.156304982433085,27.280966533257892,25.085175178794938,21.673043299119488,22.739283783931505,24.30015276763855,27.302065225433463,31.52531911451129,34.80374117412167,38.356365582845456,40.69351167940432,42.79415920456917,45.82500654058525,42.93514333447559,41.97633388561154,37.42562950094215,35.43047435946301,34.67123340519696,34.33177974652012,33.0773731941523,37.783840437766905,39.69306794591558,40.96193937784111,37.63236210923149,36.0384392672363,32.91521518442187,32.201933122780474,28.351997169471556,26.26791662163432,25.457214610896678,23.251512119920253,21.130132741371618,22.618066777915615,20.995613454846495,24.87784380181836,25.455421222502153,28.797189950752095,26.53176220959954,23.261631636111133,27.07901670018241,27.98892217431799,22.654235077833352,24.724812251748638,30.38782507492131,27.97650443071935,26.26910670683615,29.5293781000077,31.716119332409647,28.527548050273513,28.814437651953934,25.526855947790015,29.266513482773973,21.99559068183734,23.904054348017933,27.716139762553855,28.035745367438096,32.68965527359649,31.23388964025383,33.94557899649752,31.952904088638107,34.175703995597104,33.41174042047592,34.000233307700135,31.48529771910189,27.330426418729203,29.498225351208053,28.72446699178121,24.45853317478103,23.97502715320307,25.49315337819758,21.71178992172242,18.854130622742915,20.287352804905392,21.012890517598848,26.534878304123392,28.97318339170719,30.6959046510497,34.695607047711455,38.47422635921224,38.227663820710625,33.40098726955219,35.94184403213933,39.337843304979145,35.98337407311584,33.407886329710195,37.616141858194624,38.199903487710316,34.2123038136709,36.2535530999434,39.26535745392522,37.56696813252859,35.02565091363041,37.088227379004444,33.697958823195215,34.74101326689274,33.27090632860875,33.5298505260485,32.42070130295366,28.405598910622658,28.601395203485765,27.75972611709559,25.67664989971281,23.00144252712635,24.975079236224943,22.913614466342395,19.294958882878387,18.99342018151202,20.677478521917102,18.44406600637165,15.663170550714959,15.001946459650652,13.582192218642067,13.28363457386849,18.082828654742382,17.920546661927272,19.91241373658842,22.732210919835637,19.34093144023328,16.861560109793906,13.381865793524204,13.561484913918235,17.25790159087133,20.048573037956064,22.091472932823933,24.141220795291783,26.034506806192752,30.450894286324687,32.33819100518119,35.49220651343668,31.721469462040194,31.544785464298094,36.02211791954355,35.79031205867146,32.276881904631026,35.383343900946834,39.20260229446835,39.843106421952555,41.74694111303706,43.30811134143859],[32.467883596313946,29.164742723941096,26.874479679781558,25.079801833399596,22.799715080616412,29.489014076713648,30.468741862647775,34.0728948544858,36.51293040525175,36.649798093659925,40.426592536279,42.352864625380676,39.07321286829851,39.514738433935904,43.82124641038639,43.155291139926675,39.734256390706,43.029668723334446,43.21745544428936,43.302828509594626,45.433303156981054,46.548560375748984,46.829000985855195,44.421732352879566,41.65065146745205,40.768972065559105,38.49768512195674,37.50719869635656,40.470085785668864,41.429844765768074,47.63793289412565,45.877179331872,50.449883761802994,52.740898251986216,48.65471694210376,45.98731929509111,43.68410147109284,41.340081719425164,38.53226310770288,40.62278322994857,37.54018419097916,41.79176995114072,44.31389015167709,41.1838375474367,42.7389881373884,40.29774608153177,43.47865455958113,43.0195983458523,37.76110033149682,39.63635148099287,42.94197927901776,42.23494222141741,45.40744551434499,41.82767471964071,46.14121827248294,49.176044414404714,46.46458673416267,49.01081863943105,52.55124559578237,50.26962119883521,50.15875518974696,53.94683412924922,54.141737460970994,55.73697400141138,51.764328408041585,49.35403183847304,49.373177318631356,48.20798339316534,47.15153683302514,47.511070956505975,46.867196482320104,50.22551099039402,51.47259713605313,52.39346056588429,51.56058085481901,56.85703756755916,53.117001654289176,56.436043864211506,53.29442947889704,51.76249758531415,49.43428109287565,45.891018957529596,44.51878082645136,41.690662896603314,38.880600333849536,41.164424375993875,44.29945616470741,47.00260176414881,48.16885325762295,53.2987187315072,52.646280212945584,56.9604343427753,54.962443893279406,53.552714139559995,49.49485882267828,51.867805490176295,48.054824120152865,48.42694877145205,45.8951616556033,47.187295136370345,45.64807409679718,42.574996735167396,42.064586554282776,38.00403526355008,35.74820859885348,32.05413223505428,31.983363856913947,27.889946219254973,25.93674002260365,29.722959558032397,27.965452073534735,28.92422401930425,30.535720650465354,29.147654569116444,33.158140346905526,31.27219872043752,34.537664319753205,32.92191293519004,38.810990539767275,39.72424481309547,38.25852225275633,36.663119651087314,32.42158294525038,30.964527047696556,30.13930314199259,26.048924618412745,26.331696718551775,24.561334264534537,23.57198692669789,26.192827681906873,20.72100586916855,23.10448077729229,22.640398823696614,27.381580266987843,23.08197369368944,24.07400612583888,18.654457124393016,21.75982423484761,23.374986404089345,26.374645481524496,27.485018759526483,30.944966403468122,33.07933305163583,31.29596943507553,33.74336347522399,35.35856927952471,32.930965576482414,34.38808746754693,33.276030781695034,34.29363826237086,34.62095445156649,38.33135872243958,41.04768229706708,44.04379805867574,45.177845529909824,43.355588590217856,40.88811529921063,38.429826625918174,38.94196167396549,34.32751614585238,31.223401252318997,35.384748387213456,30.357470183454776,33.13843381197201,28.803427408223495,24.629464533301306,23.4345013688487,21.337164386067066,17.82930908328198,19.188551688371426,20.556527396731937,23.748732744642833,27.75245871347609,31.026468987229723,34.6257200889949,36.98300232675554,39.270732265516756,42.101080592325914,39.12665016314125,38.087262319813775,33.50446714291053,31.61759069603243,30.645836492797248,30.238746815497183,29.049344149115445,33.815705265152744,35.856863660424054,37.084760020450446,33.990040638040924,32.19493108696341,29.07716892723664,28.235517014229774,24.304505513803157,22.168732677631937,21.344585758342827,19.207139150536445,17.181588407783117,18.897657703310905,17.723227054276368,21.67284527182696,22.6561850578268,26.042598024125446,23.79905878142022,20.956482908443018,24.957787793248418,25.950894977467613,21.036188497250446,23.310777501184706,28.846071675149673,26.726259118220394,25.462526571987166,28.782836654079528,30.80147146505523,28.100167752180287,28.72950977387646,25.41148160133839,29.151091371517406,22.218188369749154,23.39102556744394,27.245388683562357,27.433654807916334,32.27553520372503,30.524333117976475,32.697718751446374,30.27835735694883,32.1368254109316,30.936856560017638,31.503508420466773,29.43542740675743,25.0004173389018,26.736543054809065,26.24499677884966,22.16487431235194,21.168681560357154,22.390667408090305,19.228076041030295,16.405694171778425,16.823720355666353,18.06985576046136,23.137888122239925,25.771834512753383,27.88824827397846,31.698445233835496,35.73721784744324,35.2365899911997,30.492381389889392,33.49474060242763,36.76156390954412,33.33966973165258,31.147783466312305,35.55796735346459,36.1934587108365,32.42725162512293,34.63454465035211,37.74286047243001,36.233969192254506,33.91429962587901,35.99644700561334,32.5650096086406,33.262728913281194,31.35591282280117,31.6855335822072,31.145367628117498,26.94170003104537,26.71162218380085,26.424301913013643,24.573239648984984,21.258785738094744,23.436307519563453,22.18565053058488,18.306820989074883,17.234580569384708,19.617865418104294,18.201459828267048,15.270113473739038,14.673422426080737,14.43653929450581,14.40194808898209,18.952847616286,18.310067261860954,19.390443687646705,22.022682558020524,19.26671252893944,16.295953924093347,13.082948753722206,12.113879461447434,15.374066589723535,17.713956332891637,19.14389939899841,21.37048513348191,23.827534574319834,27.827027893941665,29.91711307674049,32.93951865727947,29.379451289494934,29.663052797339837,34.08224886396489,33.66843712036522,30.654024736485585,33.98167736111265,37.629773178235645,38.11928975169349,39.82626531861017,41.264629171475086],[34.81438690217605,31.456861532703957,29.211417523066505,26.440157347472773,23.934731663466206,30.588292903268393,31.01155271744247,34.7418272922593,36.813386006801665,36.33587973556156,40.05925214492155,42.28790881703233,38.51751222602065,38.69113918865765,42.9096263829429,42.25676433687919,38.45873024864865,41.385874460575494,41.00969180521547,41.167633958273676,42.9215475494952,43.93921066571222,43.93634492945055,41.3124624232789,38.79565227829875,38.106609868128714,36.18640718769525,35.59006445273353,38.92123270648496,40.36789557548654,46.41712079368089,45.14219557236688,49.74423014293061,51.67932152202591,47.555818907120475,44.56179794760878,42.64518575062152,39.663164733063034,36.719121233643705,38.73622988618943,35.14406079158099,39.41789707979629,41.85773533450595,38.47008955063492,39.65780170964853,36.96681555426289,40.16164242562628,40.100332904491935,34.78960606009905,36.51318319793721,40.17268499842122,39.70533183460769,43.02708507182046,39.632777842788656,44.25563283532473,46.90116315176518,44.09133257772189,46.977529729821356,50.36728409250629,47.69843769210988,47.58668337544676,51.54394411799539,51.99142968651419,53.22811394021404,49.15776703977956,47.082082427647066,46.987316929141706,46.19397842569866,44.99554903966444,45.74389654188795,44.911735708424395,48.16902562078287,49.568095691061245,50.19436734095851,49.725358262881855,54.92619975538293,51.18057398083802,54.740259529000205,51.594931228336804,49.928943838528006,47.99752662627213,44.38144610000767,43.54352423705215,40.58538179361978,37.46647899294251,39.86689740343842,42.635359985187534,45.79412930859745,46.51356283000309,51.939358098745245,51.14204342454636,55.39162455928114,53.618125474030236,52.517825368039794,48.561794206964926,51.022934201332454,47.293650276810794,47.94317674102414,45.710727420224906,47.537726192027975,45.540947769218555,43.00927865880447,41.96529828938989,38.41074707058368,36.005718366279346,32.61113671040434,33.02374253874989,29.02558131630636,27.400453762051626,30.946651450713176,29.088701186971115,29.227063362330625,30.724462783766366,28.678234439834927,32.289427916265126,29.93082257882951,32.86026488681518,30.725562729057593,36.39748218257915,37.836429904974224,36.426557240614095,35.22891708756642,30.851483519477917,29.89068933502339,29.68896632235332,25.55522129107368,26.927953050795313,24.86310253291962,24.31147513958352,26.679344762257045,21.522504902800616,24.134139472812574,22.796074483719167,27.583289010094944,22.76284935645938,23.603901010468235,18.500294378355076,20.72700988422647,21.814184947925465,24.592691575022986,24.835847285742613,28.024609757459913,30.547276790055726,29.199008823427903,31.67150754298116,33.78342908443723,31.541802775307477,33.56243045679227,32.940359587343586,34.316651991292744,35.22926000510466,39.0089772350749,42.07778830615986,45.23330017678125,45.89564346274975,43.915396571957295,41.08093823030111,38.8387308794471,38.75538738546889,34.40153081885633,30.618726723393845,34.2806613701219,28.830669052161998,31.49350587932884,26.93611470740114,22.230879357578413,21.554658669006127,18.84069544757753,15.919802896554954,17.17426304345564,19.18914486923806,22.30041937330048,26.507564354681826,30.061170890873914,33.76206935957002,36.55481076357243,38.66098524247632,41.66869433348958,38.26388340124583,37.54120330721403,32.530316119578586,31.3971076098389,30.23626751451488,29.535093718400464,27.981044991591475,32.20331613843918,33.93744871989033,34.97938290871399,31.306118155059316,29.810493693605633,26.6895550828974,26.373504477740738,22.829350672016083,21.272252125535466,21.114361671562673,19.726186598900426,18.018873810710545,20.566541231669902,20.131723215320918,23.802487431498694,25.599637494082234,28.730605919032204,26.182826046483296,24.064063436517337,28.306786728124482,28.901990888110927,24.076446547322778,26.90175585710657,32.29838400360061,29.795276892865495,28.86362007396103,32.40399662913444,33.985200483485706,31.17081324478422,32.28753184977402,29.100184919632582,33.14388738756649,26.48858189487051,27.566076952592205,31.5269959816835,31.902137007197435,36.76302791526435,35.03132763923848,36.976556907166795,34.341182685081506,35.95153164879119,34.3753679695487,34.917426192588536,33.23073516294316,28.635125967828717,29.935089842189345,29.611756606956963,25.815343340771353,24.38535435665828,25.107605689591512,22.520172460998353,19.999348184916947,19.19088682458138,21.124744810913437,25.412628380088087,28.392501123100526,30.927133619763516,34.43940564801349,38.76068152339829,37.80370757853328,33.17090780095885,36.67907372086138,39.6532894340558,35.96129813729065,34.22966205030029,38.73185250394655,39.18011334383497,35.544726227597856,38.14805314525745,41.157345780102624,39.44605167322938,37.51472331346906,39.81712655683636,36.46570726061607,37.14835178660947,34.9888967930247,35.54079219005802,35.27660752841664,30.82586844476811,30.55367804856202,30.642546749580994,28.80929266098651,25.214775769103937,27.62375254483163,26.68732299595424,22.64190459822529,21.336300199795545,23.975154120859088,22.803179849138058,19.83090618866025,18.93191522217931,18.947467804040603,18.440848100089507,23.160053373310085,21.912110296166976,23.006892571700234,24.962742385089637,22.08857880057843,19.25693265519052,16.49727799908713,15.343392786824623,18.770516632016925,20.010036800109162,21.200795291193568,22.706311033676077,25.899521604186116,29.840138287895897,32.366042816657185,34.926728435072164,31.207856316463666,32.121780348730056,36.462072325868455,35.34486909340947,32.62977766590293,36.4891546303875,39.907928956313306,40.04346672703937,41.6528620556072,42.97364617099947],[30.579775247659562,27.127527011540465,24.725949831296905,21.763387184436,18.858837237414082,25.506794264525762,25.802266778685034,29.491756287216393,31.6170654177562,31.211258858209096,34.952019567414986,37.088110900645084,33.41658298539824,33.71886742908001,37.94513778543492,37.284229697599805,33.648276768602074,36.79553601013556,36.81747188271244,36.99378054012084,39.079823357113646,40.33151995412417,40.558220306935134,38.191877490102385,35.37663540315785,34.36883111626072,32.173252722891775,31.201530821136263,34.31309447187283,35.52618340143781,41.61217800455922,40.18122994956856,44.7768307817182,46.89356804620925,42.82397860187173,39.96493482830404,37.935466147337564,35.31989722781808,32.54206067913981,34.99763227309393,31.551984007647444,35.64275722513207,38.34311029290032,35.28414275734748,36.853352531561406,34.551752578214696,37.9409472574322,37.39425652151547,32.161314850024944,34.473647364404044,37.81028885742931,37.273672146291425,40.31643034449631,36.442094798496335,41.011902793628714,43.812034733656986,40.818666591482454,43.31561349283459,46.95095442601548,44.62814498420439,44.20550090409961,47.9089192208873,48.058352178195776,49.52865215673104,45.56921639399216,43.16643973363292,43.00423601957073,41.89185098723903,40.762418874949425,41.23038185092828,40.54955474107341,43.90855693496845,45.154872618180676,46.00089618294441,45.27913779270124,50.59483342049708,46.92716249465804,50.366047298818586,47.3123739032373,45.88081544127746,43.76469410739784,40.37159275739532,39.24942098837758,36.59724062067615,33.48931051297566,35.553700118834016,38.43650431337283,41.320960626194854,42.14273628177474,47.384275370353784,46.56273823017825,50.82072209235859,48.89155576234349,47.63781663923822,43.61560535600974,46.04151510852094,42.2829002127274,42.84502782023972,40.5365415190512,42.304948405573334,40.43125556612318,37.89706724933007,37.01484132112659,33.46006310455151,31.415124541831762,27.804339145684565,28.49148664590075,24.656725074650755,22.7528060464147,26.102768572869476,23.994915431210504,24.07885256714003,25.47889794668056,23.539994025185642,27.282002835583818,25.13510174284735,28.261216914618696,26.505259591160403,32.374059191343996,33.39026738123347,31.971421603812228,30.540982979252476,26.286264129178754,25.0381041366283,24.614841221554645,20.41097891028065,21.67468054092215,19.664385995346397,19.282510068091778,21.978819480071834,17.0058797792241,20.168755444217012,19.0165526215779,23.516806966934684,18.44861105594697,18.814067913910872,13.477996709947567,15.802847779110254,17.10037535834864,20.072713622732927,21.02354735431877,24.610946861317093,26.661429038962705,24.94532331856531,27.521746360819552,29.238286207512637,26.82966189467431,28.594614944874284,27.857343015297282,29.09884138234264,30.011070225031926,33.75446844969503,36.88126223258917,40.03077066944505,40.64240982112699,38.686284204093525,35.864508368115054,33.67066875469354,33.66014432240216,29.379102064442325,25.783122941839174,29.632331178878594,24.357840449248457,27.339959821528314,23.16610198251875,18.686922319936812,18.165239514300573,16.30966781199382,12.755495686817246,13.263051071807325,15.031891641552509,17.88331756448323,22.292525603208336,25.71983353990151,29.303557813127554,31.952485040631686,33.88200532603184,37.09350724046065,33.940051409118134,33.289592775056704,28.515047566828294,26.94971021394915,26.44346492255742,26.23328720847796,24.456674710414767,28.907761519453686,30.4472303529706,32.11041489494767,28.60698881798859,27.44225421560934,24.643332127977867,23.711714624457557,20.31148351387878,18.354291887995153,18.227598519741733,17.110722285397706,14.400697642828048,17.1587585028792,16.48202891645114,19.585705773019054,21.978682460884198,24.60688825675165,21.711983144979552,20.16909358204219,24.587085653481846,24.65281000608297,20.003649834016453,23.34028522181729,28.470467166622246,25.690410759722408,25.201630792311043,28.886890947526737,30.00725483302293,27.42615016117937,29.060522073938188,26.045017228378676,30.305743144950085,24.44071287848015,24.971487694137643,29.041467860328925,29.959442976617204,34.827576422710294,33.460413605166046,34.98626632947677,32.135844064852286,33.676830818302534,31.605743821783552,32.7673675723667,31.43301246837978,26.195184134053488,27.524460283741952,28.12469225446719,24.239312646981812,22.20361664161002,23.339903961272096,21.701901295654494,18.631356205162987,17.004855258699358,18.212764184379246,22.040845735399607,25.345763419505648,27.647039775177156,30.924494603532317,35.282180664368035,33.87675057195447,29.25915786451836,32.96403733306751,35.592929856486,31.62127109694039,30.166254621837652,34.64497743766117,34.86383310873532,31.34159923409098,34.34719633114702,37.19179009534718,35.30714219411016,33.8042941465681,36.361806036618994,33.17284237095691,33.924402948564165,31.57071679896921,32.638062734365676,32.54710070608711,27.65795109192878,27.688334348089352,28.36745048568509,26.36307872931874,22.533121637717255,25.864442339373618,25.322936548603053,20.643390100873162,19.545337071231213,23.221173370253442,22.23849972957078,18.781783466618187,17.007998494016228,18.505710832824448,17.34537283637583,21.694532982721917,19.456642727081547,19.87902030920038,21.140716596253224,18.771327679183972,15.827151182988334,13.827148362085902,12.002223485102594,15.28581951885433,15.4404866801122,16.64078395007124,17.637279762478332,21.08206193418548,25.01158688565366,27.75157543007355,30.043483402080522,26.220823474395132,27.453994950677668,31.71178341217111,30.288979488040777,27.800366255320185,31.904757979597317,35.14379887164318,35.12079412010808,36.660651245245624,37.95915505934893],[29.473907085157396,26.166897189983224,24.235450077875022,20.19540618482147,18.099759605452125,24.35937844767685,24.583145158796206,28.66404033286521,30.121744619379967,29.4729579526884,33.15657243674063,35.72604132122813,32.076882952158286,31.734952542507894,36.214943498640956,35.92976374279291,32.11700225806389,35.25205056660458,35.02230590804498,35.760953373081634,37.7318467898329,39.41033525177669,39.3468420369746,36.92486327707592,34.241146321457485,32.839559645268,31.022054424550237,29.870690036743802,33.17606758235221,34.657307539396086,40.31126325456634,39.4256325725363,43.98181249573683,46.114070194059686,42.218009122688855,39.158305932147705,37.58304463869294,34.82261681473977,32.23700169230153,35.367147198873994,31.31896986260534,34.98448738243663,38.02366594998852,35.04861690681386,36.398496467042264,34.13932787885056,37.79226550008946,37.437937151345004,32.28498916004959,34.956720918897446,38.512297621801466,38.24972070803081,41.196048093861734,37.09302037071386,41.95797658062584,44.38313476013897,41.01808747150313,43.4597006648982,47.201904448971526,44.74546433398222,43.83260397732496,47.369681268114434,47.42512867019848,48.572909581477546,44.65927063678094,42.33082928048354,41.53031413176612,40.43433753128608,38.786094812418035,39.20577371305351,38.217130245663654,41.366773660368814,43.00508070631516,44.05044934670911,43.698573824589936,49.22319441644758,45.92122663445858,49.55901177970814,46.786677584953374,45.64710338630347,43.8361342993378,40.77712086517993,39.86447798701901,37.578185330275375,34.17480549916666,35.78193521223289,38.27387038675317,41.265929367125146,41.5237232530546,46.78326908264884,45.52605912568486,49.55812929392038,47.53549234797009,46.389998725791195,42.23168077623444,44.42486153098335,40.53456028162093,41.7241524530723,39.547165648432184,41.69428052840897,40.05118892936095,38.04161124735958,37.23655921082211,34.119647002485415,32.730848749159314,28.96438414351356,30.27837001389169,26.789171826733945,24.51295282790628,27.39407791638115,24.604705024323113,24.27905706932681,24.858768775058213,22.646121780202886,25.782677749689974,23.34433737910304,26.489128752048902,24.40188202699568,30.2149773230814,31.428499034788537,29.638626274256314,28.260835120524906,23.725924792627737,22.80643490775219,22.724335554062236,19.15258469404672,21.146475320523287,19.766170002529066,20.2335450183678,23.467572783019406,19.096745208701083,22.864249762854044,21.622136801125563,25.694634602419995,20.186897616616065,19.565549637424326,14.275249928829279,15.366435488035217,15.614167027955073,18.966505020959993,19.21619099630822,23.33347503903098,25.158870844543078,23.71826597336697,26.765080858076935,28.436201869465126,25.87973919194992,27.834314040855652,27.519789733374385,28.42142417447286,29.882159839908777,33.18157550525037,36.82312814826506,39.51871670636164,39.95778367325674,38.32580306874471,35.31688756450905,33.63480062221576,33.349210942955516,29.6891412714597,25.987229754726513,29.49917158558787,24.063096671546745,27.508180583942572,23.77471323104032,18.86616063172965,19.481909999108094,17.801445935630465,14.625311815514442,13.873275720884239,16.136003775201395,18.166716244599176,23.092497006383105,26.53424920959557,29.935621886545604,32.72214272453426,34.04278719104787,37.82260750964776,34.717903798559995,34.496004964201305,29.741553995036803,28.263963410108428,28.461269166465065,28.517204106110675,26.275477614036262,30.308915847921,31.20586417795229,33.30886500025736,29.217290592822824,28.853596967076506,26.383413742457893,25.562019552887655,22.764450291267977,21.055487724061745,21.366615962769927,20.754123961633514,17.598824708056075,20.51721491632226,19.529619108417588,21.970334427147222,24.713460741988673,26.75962924375742,23.40605808424931,22.21077242310649,26.668839146768633,25.95975021362689,20.983565697004547,24.840974168442962,29.825337106500815,26.16871100694727,25.736434273476,29.63831653109645,30.246527862654613,27.14840684387886,29.200354674857238,26.469441163727566,31.147007682895612,25.72312374481854,26.56530351770394,30.767236026217496,32.35881323008193,37.092134548862056,36.29027622579667,37.957709443072005,35.2569920605825,37.00626787341985,34.83899178421366,36.42946996547862,35.064526879978075,29.56939918618877,31.15614962679384,32.12325955359603,28.083240251231892,25.9847454364919,27.42855873267221,25.91924266228154,22.584218525810805,21.03490222436323,21.615695811525516,25.281306021354208,28.74013674834999,30.666932182415945,33.81771589885486,38.06007792648361,36.342591173129364,31.724324333347674,35.3301117947618,37.65304782688544,33.3765580752115,31.972143793508906,36.23406810482688,36.066879575827656,32.456983130916704,35.8622212296354,38.381282101569475,35.967678261355566,34.833868776988055,37.73799528128557,34.778700141296184,35.980446669720855,33.818449879184136,35.329436866363906,34.901124731168665,29.719052818498344,30.426744654508294,31.140344978691772,28.761854472334846,25.2626880634041,29.144588508997042,28.21873354781991,23.21684983047552,22.86737452673721,26.691478456720194,25.179773583302318,21.459272611035313,18.863774210168494,20.468791024802766,18.282493687202766,22.71917218774779,19.720356174521577,20.66172804442142,21.055426436573455,18.205366223730525,15.904351904752932,14.518521331178256,13.455836116288507,17.272803854273114,16.543545862177172,18.449063116879152,18.24344039631356,21.542548013447803,25.970300483261337,28.896914221066204,30.7933333133356,26.483375998779334,27.827309696584567,32.01319536148362,30.01818577177843,27.266945748545165,31.717459999938914,34.847048876517846,34.601550025641416,36.29173829979047,37.64724686815903],[28.363067692592935,25.01006498913111,22.924080125293596,18.328621313279907,15.524049726713448,21.46056920782186,21.023243369380825,24.988429662205,26.293741460402433,25.243911845414296,28.882615172882005,31.487489802593345,27.564761370343277,27.27541475501148,31.619664430752955,31.261768538746228,27.37536588592446,30.462118553611738,30.29886164374852,31.01403266572669,33.09453488369222,34.88139288254321,34.92409643971055,32.65835293074225,29.8185328382683,28.263201666421374,26.340489208027066,25.083359139095624,28.379114621146982,29.927521585680612,35.548201366918605,34.76769952003139,39.32085934771955,41.36857621467477,37.48931173932282,34.38410713390574,32.91348753264583,30.122376477409347,27.625803946611345,31.063436986022246,26.943689185263377,30.427873220717224,33.61928814050199,30.850993719762048,32.380800344180784,30.406772364719412,34.18456463637548,33.54854351983506,28.522115995816744,31.61973036140718,34.96894085383337,34.758971812523484,37.483281202885856,33.10192267375367,38.01037321118945,40.35604954386723,36.828386690853435,39.069937679954215,42.915542142236966,40.61003440462817,39.45187266777301,42.84055775178117,42.775869625677686,43.981432215266025,40.12162832895953,37.67504279727981,36.84016732531893,35.65916122259935,34.08558313768785,34.49770768292926,33.600949473865626,36.84160540929672,38.332024026304346,39.35341131631406,38.91415849524159,44.4369920722267,41.152278667010805,44.783531407067244,42.0638419041207,41.03280375561513,39.26804388182685,36.37177136603842,35.51681233225035,33.449026270502664,29.935189341717514,31.290429286932554,33.66485578398621,36.65026216530204,36.78317562525394,42.029264111344226,40.72710799628253,44.75541086855994,42.75562562933576,41.656910338087414,37.54639137766222,39.81263037626871,35.99845081628128,37.170197860917625,35.13130644161565,37.53952381654959,35.643734583214645,33.97722823223161,32.93551757683197,30.190977613605064,29.01516339223959,25.380041377024614,27.217709796793446,24.081332605038067,21.93171518870338,24.331955992547698,21.409607861785585,20.38583997408527,20.8244855224479,18.226135402921066,21.188479126318857,18.641966959142152,21.72233102410032,19.72071331378641,25.601476014681733,26.694790755585686,25.013685408374094,23.684448599458488,19.2428792897138,18.36147973009593,18.54333872977098,14.82514163922815,17.60602294354904,16.03610754193013,17.02355861680591,20.17040190479416,16.577115664925117,20.68982090433992,19.141332402228855,22.68191749268021,16.92046187022578,15.642712610971511,10.86852219287578,10.938838735468,10.8601608904143,14.21478452481032,14.688428165803868,19.0111904112674,20.54522337205585,18.981296134718015,22.102342515251753,23.681565014894815,21.121015037251045,23.200960601950428,23.120611653338695,24.2015355920898,26.039712022268198,29.367514724915207,33.1892442633206,36.05811062262121,36.103000817894824,34.324709709691895,31.112195038401598,29.59198961280678,28.958954327712476,25.5687956951608,21.635249150661902,24.914753533775432,19.463672622519084,23.088933920093414,19.727756520332733,14.916949760451775,16.13973609599051,15.185479050286277,12.18454867385755,10.277675629440902,12.565172599432035,13.931292178349668,19.028450644963673,22.408113189648702,25.67105078052102,28.549815956816666,29.592390186125005,33.58545358909145,30.481919546912135,30.519370385893065,25.83481378276624,24.486953614026454,25.17522663358841,25.51013582628586,22.926963556665623,26.691887667881304,27.194008744090237,29.747964257987864,25.61743132167727,25.752745803709715,23.703454575888514,22.61754568794191,20.381334211301187,18.786004028513712,19.515755806714157,19.638065848943096,16.181496961690286,19.440067710457956,18.8356050432672,20.414703627798886,23.970286741127055,25.372234315935312,21.765556567700955,21.644518908358215,26.106722677407774,24.84601275294615,20.521967911520534,24.819292313436826,29.24811704308945,25.457997159602556,25.691292022361733,29.627495402830775,29.613377314654088,26.939225518386127,29.60963725559746,27.16774697458983,31.900411621677915,27.402859826881453,27.61060522672995,31.748791490319036,33.635577770249704,38.303215177388495,37.653247842686525,38.777348333211414,35.80463218835632,37.253556908807724,34.54150900038697,36.48058197055407,35.66116926909307,29.82198912478342,31.06255292799197,32.72819602183043,28.9594573524493,26.295543286697214,27.652783780806768,27.162242936204414,23.83254375143138,21.2036342796709,21.646793099636312,24.21777040978944,27.938774120137733,29.89897498364026,32.55627707420079,36.898417809931246,34.59664671866439,30.228787874811488,34.234367402969,36.04611380434663,31.520072641229515,30.73317544667413,34.94198715625336,34.525608634771025,31.25303990695129,35.09322460485209,37.40679379016779,34.89425031900854,34.36581231280569,37.469835503631906,34.729188754798066,35.82542793741355,33.353095669310314,35.28684792725024,35.27336594381292,29.832694924676627,30.569193368378293,31.94501773907929,29.63480074565547,25.871942861790345,30.266433749579726,29.945904214442656,24.71454655385142,24.21034498226666,28.658882864914645,27.605386725088557,23.794773072859126,20.893923006645867,23.465720251517098,21.133024947366543,25.06062855501167,21.389841505752713,21.53092300957461,21.01529113114153,18.973079433131556,16.775319379322124,16.38268404161834,14.682087569383086,17.765308035173152,15.511442186964718,16.92414890961209,15.701464687421756,19.639233169552927,23.650240561519585,26.947818056579173,28.231011388489293,23.946659934010768,26.04015679845666,29.936871166719545,27.258663785374758,25.156007658947445,30.036646538078507,32.74417470562556,32.12174055558688,33.59540235305961,34.79764056370326],[27.629836559589418,24.10733517732011,21.520884648296033,18.27045064490738,14.693468282341266,21.233785882322078,21.190775043643065,24.775180477289464,26.94149944241296,26.487851906677996,30.224283972788836,32.260501286645834,28.58930042591029,29.06639764424372,33.225432780463485,32.51155298365553,29.01441707475551,32.321937536441744,32.71260913554993,32.8593957930613,35.24467386703756,36.682055672384216,37.13873440976535,35.046927732163596,31.963451780301025,30.685227115744762,28.224802691692478,26.919842570066702,29.805015589771525,30.816548162196685,36.93577607181047,35.37927059123444,39.96508268843586,42.19832062377925,38.17580688559038,35.43109560280907,33.31920109483535,31.01898652887662,28.413984685016658,31.275149129086515,27.995007974387104,31.867740364363858,34.78589974778724,32.07548242980453,33.9998907791375,32.113931543442646,35.63476624573561,34.62278335923942,29.545391558906992,32.396266668866915,35.37617578262172,34.79423431948395,37.532649691463234,33.236749895477516,37.73616414345694,40.62775392031479,37.475978717795236,39.59210620099058,43.427757051164875,41.439039346873464,40.72420011917052,44.171878925536284,44.05488008051623,45.73852627274698,41.89875448517485,39.21042825034713,39.02211613682751,37.631358351001424,36.615462694097246,36.85618945884913,36.34915899642765,39.81261951297061,40.862192051587314,41.86075729447229,40.89225663905109,46.267399376199904,42.66067315209346,45.98248116808047,43.011423173843085,41.78855731302009,39.53255154244949,36.366761309887146,35.027516109012886,32.68831350526024,29.582809688826263,31.299621654502406,34.25071728111629,36.894327767724036,37.78703775535355,42.860584550420896,42.03000318812552,46.29527981388638,44.25930543881644,42.89407216826607,38.84812163625384,41.27727321177946,37.5344240623829,37.98113397218466,35.648010771362614,37.43400384402221,35.56557976275667,33.115664431983014,32.28601196389016,28.833525258822434,27.14075398340041,23.396891095888,24.489401395074026,20.929883299284462,18.84158756676027,21.84688866547705,19.492074773664367,19.300507277576674,20.625670933720464,18.687739068517093,22.544157996448995,20.605535839113255,23.86215335697812,22.523698479834458,28.509549918580657,29.10684124940544,27.753427001698945,26.142997853728836,22.096629895519854,20.576857635854513,19.99226030672133,15.629283843934557,16.968098505537586,14.881835001433865,14.799222885053203,17.759682959854295,13.26443561276117,17.037245795448666,15.95755090775963,19.94909743730438,14.62487252197059,14.332072601105503,8.901943681554211,11.151429259302114,12.729188979277614,15.792514189346113,17.553915206107433,21.410395841661053,22.941345788165805,20.859489287661113,23.477618364405025,24.80068515348961,22.26775862807263,23.81311248068508,23.0137905631803,24.217346332400247,25.22077511026362,28.973602435111104,32.18587309465865,35.41609795856256,35.858840633550116,33.854972566798516,30.984263371931814,28.85491051148268,28.80793335501956,24.640059244384968,21.145661941447745,25.104614751801073,20.029655679628565,23.29793739785451,19.604796271110636,15.501721586476979,15.24743628560605,14.481889343075546,10.603841773897615,9.993311093151267,11.370988652479628,13.744175464408304,18.30974126920137,21.57123369264098,24.998983409334908,27.537755739310406,29.254996045754528,32.673439904549966,29.73528639701997,29.21347944737266,24.686668505865164,22.789402269452008,22.998752485639216,23.295505251961146,21.253475384247363,25.773951456771663,27.040827343093603,29.32091876210374,26.0131547076396,25.24855108211221,22.881517954344623,21.388081759952136,18.364367761674945,16.165567974428523,16.216170759809586,15.658586475640762,12.067513744899909,15.045568062989135,14.348435256485168,16.49483322689948,19.699526016834444,21.610619799298355,18.34828544311021,17.775705656900328,22.26152019268053,21.676691848457875,17.515411042852783,21.38859741579086,26.01127824192921,23.00025858525152,23.135841993920682,26.894547143070294,27.411609439519896,25.212633998241664,27.4541762680692,24.726306263506714,29.099709563191098,24.285088941833138,24.159556050223234,28.201886600152193,29.61018100448431,34.37893844856856,33.35202902760245,34.35040989061796,31.28148616524297,32.6341206565071,30.015181339520726,31.748130083658918,30.89819104505809,25.159822548734752,26.344825698710526,27.873071938446284,24.130299507365645,21.488067933003745,22.8564065540195,22.344585968962384,19.03393996091207,16.436790658191917,16.956016134065973,19.82906064735875,23.437345540294608,25.534274985627246,28.396895247749683,32.78861052827075,30.826869206795855,26.345359292388782,30.33700754688028,32.489615789092404,28.222830693039896,27.237392652644402,31.654470943185302,31.605022532964895,28.320855431414536,31.782215447284386,34.410289370740045,32.37334247683672,31.434886601870645,34.2368736809302,31.27950273045154,32.032032648888574,29.432436136712557,31.03923614400047,31.239771407204504,25.991105421768324,26.26055359731778,27.62671376227551,25.563744106155777,21.54867396255947,25.678172699490297,25.658542793431405,20.59058288730921,19.635501578891112,24.133786768774023,23.479488874373146,19.813949885661447,17.385716585656862,20.181094506029563,18.568156723792207,22.28216742416216,19.149232731288834,18.723788166805907,19.027486762518162,17.45943096471566,14.585265536038962,13.765139076717487,11.280577562398202,13.878423702543662,12.337283738410719,13.294706682255567,13.394323455062482,17.34334138939794,21.067225972309185,24.121422051530853,25.960058821108834,22.08165183662009,23.86852385936371,27.93587969871686,26.03094438063475,23.989206850160947,28.42897831288282,31.363363384797868,31.075490952730203,32.476319433722566,33.69170163809291],[25.47053862458991,22.027240324269275,19.744311928817694,16.5293243700221,13.917090452714028,20.49268331514001,21.09396329298967,24.96477777155538,26.994315068551533,26.975857740300665,30.74744361328889,32.86598149953187,29.657815556669746,29.85512874162331,34.31405307747884,33.87914102693882,30.55070256510837,34.118575849096054,34.69029082989292,35.17077808559544,37.67038992557319,39.3958880485879,39.797537022696176,37.749156637423425,34.66362195475539,33.0768006348917,30.695894752721202,29.05895609068546,31.822265934095746,32.66018271152995,38.59731212783986,37.04673875426609,41.58435407871102,44.09487349977348,40.21319569536131,37.57000482289087,35.47618269755817,33.51507996915243,31.102425055042076,34.31838103895366,31.002811175417627,34.63687449113058,37.75036794009867,35.17445225917907,37.09246231147266,35.265153957764326,38.87091716389143,37.87589731513648,32.851740634767175,35.810009810632415,38.80308210803133,38.238484439179985,40.91537449738898,36.50867666384127,40.97450022769989,43.87415768086508,40.621942550019455,42.575071469937214,46.51797493399229,44.61503571106536,43.69405470068314,46.98448157975884,46.69568542154255,48.367708626408586,44.607629565138765,41.81316325726907,41.2933728754541,39.71342406954801,38.42278402179937,38.37609979289515,37.75812208179751,41.11559553041918,42.37416266086233,43.704480375111515,42.77683792216365,48.344547188500684,44.97993351724779,48.27648708144625,45.47725822244639,44.488840615707375,42.175372416003384,39.220603470610875,37.67302260754198,35.57717664262298,32.525955507502914,33.95747657480298,36.91404958496363,39.3343997725986,40.18166677680513,45.07295037399092,44.06453856583831,48.21969357592237,45.968110910583626,44.4526214093736,40.227351623969646,42.41199619567418,38.489204849736815,39.18293319277047,36.67829846355636,38.26321554683929,36.967860756549236,34.381261219441384,34.065985802458336,30.43577549509679,29.238407846607718,25.1316231664018,26.136104412249573,22.62998598964344,19.966384240242384,22.985661890193164,20.213242063784925,20.61933838468835,21.452746755789178,19.964868158772436,23.746975691403158,21.992430253339343,25.52991576861892,24.298687912545958,30.353349692200133,30.770820460221884,29.086483331930403,27.206975575284652,23.02559987639002,21.339540577424586,20.407668675752788,16.58896889935597,17.30251740172716,16.043558458386205,16.08952242913372,19.697931555766978,15.130661295970878,19.012305979930332,18.59401544620012,22.44711337460619,17.346169524285834,16.719769994978645,10.97614481801496,13.294919292873052,14.551987648468467,18.045590410645453,19.806157107104987,24.080154029983905,25.320205309881405,23.20137126729389,26.079838540724253,27.06973303578606,24.31601561762926,25.54098274934319,24.60446167022213,25.217944484527692,26.052759392841107,29.43184602939307,32.71672985729279,35.45536399549859,36.25853208564741,34.646582776948556,31.971054756250336,29.992328525788423,30.30556148839398,26.30122232075267,23.321126434124178,27.45433713323405,22.59323115532986,26.15705892275938,22.784004015723198,18.73394964908317,18.6588490531285,17.983544552720556,14.073121551705496,13.308581872676001,14.567135940651175,16.61967184467094,21.258985870139675,24.33278308718565,27.595020553164822,29.890028079403336,31.405507122821888,35.007397724768445,32.39213926854327,31.858814920848232,27.615605483504098,25.253993481367328,25.860224238929387,26.38442952848909,24.426174401909282,29.06335260821074,30.25792005113035,32.70484660022079,29.39268223198174,28.742196641506172,26.40044656416207,24.841571115179672,21.749707700089616,19.37667388872996,19.12932455973741,18.11936730789278,14.222868741959473,16.597350235500667,14.982382691439934,17.181401713899337,19.803613653378683,21.69891007147052,18.3382812426356,17.09350589844713,21.536437166494867,20.797568679733818,15.943735821138862,19.828257858299082,24.71231869890494,21.268478054779887,21.000824042805146,24.851468345896613,25.49181852705257,22.80648129032809,24.886196553310736,22.134760419496498,26.69297780081119,21.706725009234784,22.03306207838936,26.190797265410392,27.92459727715462,32.62718398655946,31.959029816825776,33.36184839242003,30.608772821834258,32.37017532581748,30.093219293838644,32.033140390115136,30.741429063823826,25.00704451817713,26.779151580424433,28.2223377172024,24.1047262833165,21.854934962575058,23.77787094858705,22.65993818138057,18.97281872878746,17.50943391329273,17.18711974608844,20.90096259434126,24.309759407016273,25.855502612501297,29.01498861008397,33.11611535219373,31.435675127973475,26.764194559134623,30.220017877019504,32.53920232515229,28.291122980204126,26.79012308317524,31.042225217672517,30.918694158463616,27.3193496813552,30.704564348240208,33.2535198424307,30.97236795095133,29.832580813476454,32.711887215657065,29.77194426512897,30.912138783422833,28.702279517626753,30.369366804844383,30.009629387806026,24.72197458387547,25.53493209293233,26.49407000030934,24.092203366182872,20.536747141294438,24.844072177825215,24.172638075255932,18.953437834878837,18.767327634559955,23.104757331656938,21.809889725051324,17.947728885219533,15.015202320017782,17.702832540309767,15.546387396139663,19.378321646485396,16.0764905445597,16.210287066262985,16.590328233286584,14.426088825827083,11.720005926432224,10.790861640063854,9.005302332593866,12.409784151562128,11.43371458177517,13.480327098907035,13.57597655051383,16.62762236981106,21.05015480103462,23.829563826968055,25.947519920399312,21.75184091226735,22.90149774519281,27.142550577417484,25.54614672954467,22.800809825708257,27.043553721370397,30.248327363644076,30.171723805621838,31.840477177509925,33.23488931656034],[25.673863756528682,22.321738777892115,20.13931545664472,17.84638947928672,15.84360248293396,22.42289610634292,23.603447405640487,27.40890637565581,29.649417886102928,30.062453691613342,33.84111527284811,35.80775066001333,32.92887370165423,33.202804139845256,37.720555202709726,37.306476666607054,34.150866453300345,37.82673677682892,38.52016663169884,38.96333633761963,41.50090397476487,43.165186695439516,43.59836406387765,41.523766657574996,38.45409128080637,36.926672932334995,34.502674695044185,32.842691353492754,35.49788430894386,36.15071439799071,42.144675677514606,40.37318278888719,44.88322737604378,47.5378769200323,43.662604061204235,41.158481658125886,38.88439450816013,37.13010970781548,34.703568307955145,37.718276358007934,34.61624599223972,38.35556083705173,41.38011253114956,38.75659052398028,40.67596337820861,38.75385932614956,42.2656127985611,41.31655116383542,36.244565042459364,38.97481608517522,41.97003422233076,41.30212130972556,44.060280780557804,39.79138167623655,44.11637450221434,47.17814993047101,44.0740021968546,46.04714374092475,49.95750752370629,48.089091266712906,47.336310918150694,50.66922999937994,50.38525434319596,52.139448102180275,48.37529792676323,45.55618770820774,45.12282511821229,43.49229650709162,42.230818224971244,42.08571751571438,41.487516005955506,44.82641010096882,46.09932035859351,47.512341001034926,46.51187718177206,52.08488106471848,48.6978662000104,51.91189673522614,49.07394296994266,48.04768668756459,45.586369698472176,42.55176396648529,40.81719653405202,38.62551729995979,35.7562513602826,37.31409160813861,40.44287383604743,42.724842763279945,43.79531853112109,48.59523914077172,47.68113936970617,51.859466917095766,49.53977808846416,47.905034809075715,43.644826096960074,45.764963394241384,41.79749733925163,42.381384501123485,39.71286488596158,40.94640405241698,39.941703354689636,36.976698876290484,36.9669635012271,32.97487040196083,31.681880533379335,27.469228901237912,27.95267215729679,24.24950534855826,21.462396932409156,24.815672050663796,22.250785289567283,23.350194421070025,24.31519607632086,23.268230277602218,27.215176642106012,25.661510012637237,29.2829647089404,28.141726994504573,34.20167664392454,34.54500328035817,32.812890963883234,30.815067356865917,26.657777196126233,24.837978267340738,23.608429319219702,19.941797869902953,19.858947394153343,18.822121585568034,18.38829111438884,21.989455383544943,16.980321936772143,20.40268812489167,20.482182760332677,24.5611148527652,19.91810307217302,19.764042084932257,13.938662504292047,16.879292332258533,18.360052960301115,21.835452312666895,23.647759343085,27.851506605809007,29.1680541100587,27.016250589471248,29.81621870558089,30.738248636676186,27.969308441191203,28.966160293526947,27.759697663509186,28.173488015821093,28.56871806506316,31.882285521785313,34.88075048709062,37.456200622354814,38.65977240988153,37.185302228983176,34.78084368794354,32.63491306226541,33.34464876507072,29.123514783628835,26.5170593547703,30.877055237591694,26.178902122654716,29.61948293477394,26.106668860943582,22.178493741608005,21.63606203763364,20.709657128572164,16.689217450745005,16.60688409773592,17.679817181386575,20.065181281478434,24.460577852211333,27.453105065996997,30.73626594803512,32.825683754256424,34.568567976783164,37.93913384001972,35.464771526707814,34.67548273911382,30.552994510518676,27.933392722125042,28.2640311907826,28.68843504345712,27.08141494567156,31.981107597352256,33.503302441033654,35.70019877941683,32.6052085566994,31.56518848984661,28.990950837447823,27.460651321986038,23.970164614586864,21.420625596860905,20.71732381135791,19.022941362269364,15.370081817311707,17.100824282084986,14.957570587977383,17.803806215190612,19.464424097652792,21.878068671563323,18.88987735257068,16.593131734657327,20.870075067881924,20.70466362659425,15.426332727903496,18.68844865254666,23.99459831215533,20.86287369609004,19.980354591414113,23.68736925606405,24.957411674048178,22.075759364354163,23.486150610241012,20.465346894027437,24.839395456404215,19.070064898659417,19.873595905315916,24.039233885320037,25.503451912482017,30.243216180747346,29.476257690092066,31.323558443184275,28.845495886423024,30.901120361257796,29.145939478404298,30.85831847669375,29.06383832750936,23.654163192594687,25.8277577814428,26.741724325140986,22.36184796748728,20.68702017677629,22.86078088642654,20.872777380002937,17.075459322395982,16.884804770456444,16.3247395145285,21.040754637395896,24.082170260139943,25.41618651391715,28.988542970205298,32.87998137871288,31.77698850019066,26.94653657690845,29.904894442304325,32.663442429793186,28.730980600612373,26.65097596957989,30.87232982354743,30.999153506295624,27.153180080946594,30.05360737318824,32.77627182371887,30.671180689158,28.96098418316555,31.596576581749833,28.47930541199421,29.686659276630476,27.79683036714158,29.07982535409979,28.33009134227085,23.336130975917563,24.14859852114134,24.498821067435216,22.037239149991187,18.80157104447578,22.675886988989465,21.45151014386149,16.42386135061568,16.512515279148012,20.341477885282885,18.616266843510306,14.77885585514761,12.055884469397567,14.104280514969448,12.152304101145264,16.309786656977156,13.728874116207354,14.423364433471912,15.844428414448087,13.203435603655533,10.304996863698488,8.235425632677384,7.055214879894334,11.02218059808143,11.837074973347196,14.250107988742547,15.366729352747914,17.56862289354156,22.16423635709128,24.470169484456115,27.149511285718926,23.08962914478725,23.47091902153944,27.879677628187032,27.03928207861533,23.818715854254343,27.49445569663458,31.03483718437425,31.34329461944221,33.16183907089216,34.678647585838696],[22.806440865757477,19.59228918434438,17.861057310839193,15.145743568552717,14.210532602326458,20.407466813511803,21.96574977567125,26.019438270085985,27.9015700207814,28.55996450815941,32.29322721147648,34.406474409306455,31.91920230363938,31.83614295721558,36.58295862391209,36.479655160208544,33.4726575312802,37.34470546005557,38.20741569742186,39.03569627957274,41.69541180627872,43.73317036592062,44.113938858374915,42.15415286158579,39.054471927227624,37.130388711554154,34.807093826410956,32.78093623928536,35.30735733944155,35.85165135450356,41.53743662868079,39.919298642313755,44.34602700251248,47.22436826074817,43.54380665540751,41.09893744351671,38.97587772132039,37.51613413479419,35.350978742238354,38.91208413988578,35.665082685734596,39.02926604439732,42.33767244153844,39.947790646776994,41.90021858951633,40.165876007585545,43.84090345201267,42.8175823481329,37.86484194140603,40.9297101626537,43.887715213953236,43.30947156464431,45.89788263735158,41.366968231576244,45.73779075227334,48.69988754078907,45.3700361348042,47.09434707964114,51.15914421903881,49.414240109558556,48.28118732511753,51.362106254952614,50.84694684676415,52.55189589104652,48.91124245154417,45.963265210234574,45.09999304957458,43.26131098738616,41.696731431074795,41.253430578804725,40.54714717463612,43.753763277737505,45.21993982692261,46.97670082261577,46.041759323387346,51.806633714747115,48.74038045189989,51.94684405803513,49.35825617883016,48.65766088954828,46.22543917773077,43.52606263326814,41.67048249044679,39.86831997710307,36.94942531320432,38.05580175108063,41.06030245841798,43.13985410870127,44.01116639402673,48.610947464084425,47.433283324059225,51.44206233116699,48.91524387424504,47.17923098078589,42.76475833474191,44.61632856058057,40.50618888393212,41.434367062244455,38.69643549745612,39.90726398384647,39.409164659495346,36.58614932297711,36.97901498046329,33.09741707167392,32.495253312522955,28.00956434536908,28.796803317110072,25.41567163984595,22.132585374342735,25.11472692816786,21.976143921520958,23.22513886694248,23.50505084864214,22.72374858074159,26.37760740511222,24.976983031465696,28.77650245125947,27.779856450956935,33.81797692232108,33.943379785408695,31.9094272122108,29.69566292264234,25.51331483253506,23.604826969628306,22.174724700247786,19.18257894642793,18.88437449013515,18.691269683036683,18.765243269207552,22.945189363571444,18.42094599035492,22.212747864332567,22.606013960632925,26.24104868142448,21.55855492336881,20.688773317509288,14.901936108703127,17.326946177339735,18.344316942467533,22.109531657936717,23.94902944006907,28.5644976681681,29.44839245478294,27.26563112582185,30.34340822497759,30.89938376782084,27.937972839035623,28.688340550366274,27.52552054217352,27.38436711284229,27.87047199031053,30.700500214980153,33.93382936092921,35.97358791573686,37.32131593538813,36.25269214909194,33.93409558274625,32.12435148827713,32.97298220356048,29.17342359368149,26.939382867437534,31.273682962112616,26.78380906918727,30.596745685866107,27.5869804288053,23.704909889733685,23.68269093323282,23.136477017016254,19.163761454272755,18.36257569816181,19.41428786326427,21.198065532146167,25.77327734817246,28.578206225941713,31.616217373765792,33.54643943347386,34.86278904853727,38.588891847528856,36.42190086442576,35.82234444669166,31.983521649715527,29.05109338347176,30.073613636623435,30.858829279156215,29.063777920056197,33.870865049674435,35.048171599965464,37.66307929431525,34.438467986918724,33.84165872559326,31.50890988207289,29.832052958343567,26.629972397083485,24.048911530781435,23.434902486899297,21.911884667407964,17.82975678660341,19.355864855451994,16.693035485359555,18.84326379889061,20.475673116500392,22.30187053813971,19.01897493682414,16.809852266615454,20.929351950890922,20.06448938857531,14.40830907192624,18.007489017372666,23.1398885050634,19.218331867571074,18.2452601383091,22.102065767722934,23.00730356685032,19.623642849366956,21.292480688438697,18.529714511276435,23.25759572359581,18.05755293204373,19.142276175774384,23.365092981873396,25.558673245368755,30.061952028065615,29.961003340874555,31.95013971741197,29.726995180735006,32.05505470358066,30.335143547925124,32.52441629876521,30.62010851111849,25.057641095914125,27.615496245526714,28.906871165017336,24.38578254044775,22.779633745507823,25.395434820542878,23.519901358465667,19.472516392687986,19.624465704545763,18.179197596070896,22.83766694709297,25.844020478719195,26.577353312846764,30.083603448167782,33.68430551819058,32.47182937338436,27.63892680159001,30.226316823298234,32.769582712154424,28.681715887367076,26.443801639691912,30.356178223760416,30.166407393614655,26.174832488100705,29.30901206306108,31.718980084405292,29.157884692984002,27.665974310084195,30.575036159918,27.697423813732833,29.39324977886103,27.827065593585534,29.51483286425123,28.316623290212092,23.131478757526228,24.727498459234948,25.027614338990425,22.178780208088803,19.491788565992746,23.888693912013565,22.2396803771539,17.001122011463433,18.054864574425547,21.952445615999686,19.70838071742435,15.71167394059515,12.061438907681504,14.450846030974011,11.344973652485825,15.236402229569846,11.755050485608402,12.951506813296323,13.590237276779702,10.424148817768577,8.19870354742569,7.036385967034764,7.036806215904721,11.308955659393352,11.495559002883727,14.812603674373612,15.05278339362893,16.526398709181745,21.671377531511272,23.89844436778739,26.423597037228603,21.978979325554644,22.067474897516888,26.447488748982746,25.476708898449644,21.770014464712435,25.480156144493524,29.059735489506725,29.36178408521704,31.393895580429813,33.029102543656414],[24.485107670973214,21.532857511462904,20.409886688380407,16.50694272878056,16.53292576384692,22.180691936348918,23.52897808489382,27.92237661999548,29.068114422624504,29.307196178046944,32.94475542727337,35.54924917449099,32.919338362865545,32.152150038470765,37.08061117027232,37.306303940367684,33.99683535741351,37.669918308413905,38.032467124486324,39.331546009906795,41.68225420169902,43.95117996541644,43.95138236277231,41.80397537823607,38.977412511218176,36.90198085506408,35.0632247265971,33.13794683270499,35.998470848950674,36.979853502268526,42.24805178787004,41.26990055843859,45.66944880977266,48.3929076487461,44.822047685639205,42.07845433086855,40.45971524348572,38.56833535673788,36.44099968328821,40.32017547344945,36.43440845454614,39.56527252974501,43.02072104939335,40.5038638761226,42.074637576678285,40.175736748186,43.995129904431806,43.37025724127382,38.414203774104244,41.51638216701378,44.84253509174429,44.533538523797084,47.202894323333304,42.70254828703163,47.40821252218366,49.954957874275095,46.382304311758205,48.300945216467284,52.32557148824227,50.25147781360463,48.85671313001221,51.94958412004689,51.53206777679732,52.80568254319393,49.13529074965155,46.447568738865165,45.06621928872638,43.45037088389897,41.39032927171193,41.10089259755387,40.02271264932558,42.970338004613254,44.88093937730434,46.65950948670283,46.223206217267936,52.09379775874439,49.298896027561305,52.77213737256215,50.372169607400146,49.7768878796536,47.748137941573866,45.18612604978328,43.73403709360894,42.030080733472225,38.79521843256986,39.74355587615496,42.32008734627022,44.71449306822742,44.992477031506695,49.75625585470104,48.198680621278484,51.998778792532214,49.50979789345765,48.00395104388754,43.532602634769226,45.21583305306421,41.031078828517245,42.60455084376327,40.09668642043559,41.78908504726357,41.29988837345843,39.05925574479297,39.27487291673353,35.88250285855125,35.53214700531081,31.130963711126185,32.394834585563444,29.173455873046514,25.93624299066042,28.608958886729994,25.116487754202787,25.758636042303493,25.43863794536221,24.17506641566652,27.14520658035519,25.29293072686548,28.926370088163388,27.38692075921862,33.23264316276804,33.80697147302062,31.471685318020935,29.494973320724252,25.001528823886524,23.636289244265825,22.781996087856605,20.376048991355887,21.11036187270192,21.21225348680878,21.935732673115197,26.174297985255503,21.98627717991641,26.019996312545917,25.9087306502229,29.52341910202335,24.3893104039472,23.08736042447301,17.488420333053895,18.80024809194735,18.837512601275883,22.72773992154704,23.556041588210846,28.3587772159316,29.332111404835494,27.607005545834635,31.005966730882964,31.818861620026667,28.864570783894205,30.03198326005306,29.39671941626435,29.17285779471305,30.279891308206444,32.77354458750299,36.48324238665412,38.1838593226796,39.26543356748145,38.41637603245203,35.842812307695105,34.49077215414441,34.903183084603654,31.627739222493386,28.999470197102134,32.867182532342795,28.047197857944887,32.04268127230527,29.086213895570605,24.640183317467066,25.39747526614499,24.463555112031624,20.915040239804096,19.665178023669004,21.34882771190339,22.786118843218837,27.73907494615574,30.731326101927646,33.750046023782964,35.98480173747209,36.8831935756365,41.00130022132276,38.629719758966,38.39319019502599,34.30873105827955,31.836066288393067,32.983595136897385,33.65577197164577,31.507566276812355,35.865556649914865,36.604758471328296,39.27108187766288,35.411180059364355,35.30529709984794,33.04551294648852,31.75346323755078,28.902807941886618,26.707702020030503,26.53740522898872,25.399512694137744,21.477984188313435,23.463507219351726,21.10388841044352,23.109120256657985,25.028669196204625,26.64791648609773,23.16746683183731,21.25944492473591,25.33933942161392,24.092122978740598,18.370204466400438,22.131056367487677,27.108329400661148,22.620856592297063,21.602419940283315,25.51225521834747,26.05978800617504,22.123192941683,23.99184000066774,21.52239860370976,26.454920866548914,21.397675575138376,22.98306533305312,27.189316044402286,29.625276321991635,34.0014446061462,34.13117797602136,36.34662130062033,34.26117511684889,36.67193839270855,34.980795299031605,37.15940378688246,35.202364935910346,29.69207075258719,32.230271349428676,33.4051254871027,28.875796015241626,27.313265995175552,29.758630079424023,27.717532727937417,23.7851976661574,23.817153114502272,22.733349867519347,27.237153618917198,30.36518297065954,31.169066861745858,34.592995652278255,38.209220867385014,36.82445800554157,32.04014973131607,34.6535037402857,37.024668157475794,32.7867184433541,30.65236559839284,34.40705013953009,33.97547185365413,29.970098757808348,33.29540100225634,35.46702114353393,32.53631490645761,31.279498401611463,34.36370796415253,31.652131088865946,33.622726050141566,32.215656861033565,34.02268165970315,32.61057057827265,27.422457834122113,29.273440480892997,29.440556726288786,26.467021887996513,24.02364750545403,28.348814505226418,26.383944662152444,21.252022876801686,22.481261126684785,26.074850078112277,23.481824265905907,19.5628301600398,15.915452446534562,17.473807584439626,13.901397670633145,18.056904882852432,14.49007193003144,16.53136442662549,16.55023227244033,12.730391017661885,11.506444386274326,10.594431327891712,11.424734819764724,15.830257729891118,15.575641080749731,18.96280995352189,18.405982003859894,19.979689288954845,25.312682305682838,27.7071402554558,29.856890385271466,25.11259741705076,25.367732357379854,29.611181905419553,28.095681976065993,24.227913861540223,28.202317093765043,31.64430201792954,31.730430269915523,33.86525720356131,35.52162508369797],[20.907922211771215,17.997402859594814,17.11391642595076,11.931622502226697,12.49340205761087,17.384830983947285,18.55498914339527,23.11183352154869,23.777842905661647,23.9927158055145,27.55349135198623,30.299120705480572,27.90336498195599,26.859182131748803,31.898604458819815,32.36266367044401,29.24368717435385,33.09018105336933,33.776369025013175,35.37487707076083,37.956695340690466,40.61300795946081,40.70796080702725,38.859025346371446,35.895405352421214,33.35981662736777,31.499546648843825,29.10875456520198,31.699158535415823,32.52217935595632,37.444089878943366,36.624279273784055,40.90854087628381,43.790836442560085,40.44226923158162,37.80136335259842,36.35752412328559,34.85309290219007,33.09897584458064,37.60386059497024,33.730589551480996,36.331246146114914,40.08993222621415,38.02082625841022,39.794288109124096,38.339921393480545,42.3050625541916,41.34677080303501,36.67691472592443,40.309700155077934,43.33920329213749,43.09714851535629,45.41410482933173,40.5390355777092,45.19376516440626,47.63350251005126,43.82431903674588,45.29761866426623,49.50264106818999,47.7388032048512,45.859283405917594,48.55936019204358,47.8165588000392,49.15158751219137,45.68524565958763,42.770986652474264,41.03387393274259,39.11082642608224,36.88864919425961,36.24129918646296,35.18433426743634,38.08443691315333,40.003186833117475,42.11053708817113,41.597250072202534,47.60149647822311,45.12185454261292,48.509608746276825,46.38679418215652,46.183222348332016,44.17269321757568,42.06446607598845,40.49020682711956,39.32323699579722,36.06958312764578,36.40820207643605,38.80907976989735,40.910694727995974,40.98898563125462,45.46757978657581,43.6814286371758,47.31237481804462,44.642173730528185,43.04802254064886,38.487644730023725,39.96775173577586,35.71622785056765,37.54924750062538,35.0665945815741,36.900801223730944,36.704889429472495,34.83220885994338,35.27220302682599,32.253034125229014,32.684901463715114,28.184731658057082,30.042960121079936,27.381231845753558,23.872363490751802,25.83984005824943,21.79504360586343,22.100975472187464,20.99280617585531,19.84595475647703,22.36987966638325,20.751933663203182,24.514112698074346,23.37095309339295,29.133910246222936,29.266538953600865,26.734782655466883,24.506400879339324,20.154110215604,18.614611131485,17.61702704898625,15.985704197703106,16.91193427771447,17.796570353924167,19.30144668722427,23.90007080086605,20.710637460930386,25.163188128253594,25.171541655062867,28.0072209471246,22.880969340112664,20.627984503387275,15.627035413322659,15.985237062681962,15.472577740566795,19.462725593744107,20.668293575186013,25.80671656165529,26.031818814957123,24.150817754582672,27.730761095019535,27.98945697411966,24.88752997505838,25.749562410016004,25.262760281661112,24.57340991956568,26.00499344396953,28.041329491864165,32.092892939874346,33.462989479746625,34.34425009077655,33.74714384519621,31.127270491189943,30.210587479214457,30.537579587844267,27.878817100472872,25.592964012487936,29.261517467633592,24.869641324139117,29.21497271663379,27.093728669503026,23.08790722490683,24.448110836739822,24.380927083357538,20.97803522483101,18.73344922502471,20.108699685280975,20.58265547304888,25.5058059244036,28.138910272939686,30.748615171022497,32.79629144909279,33.118344504544545,37.627046933781116,35.61906987663737,35.69109292198113,32.03992702729171,29.330256356785302,31.39876689208775,32.57721784742401,30.15059328975161,34.252094856014864,34.47518291963669,37.780983102795794,33.98589580296438,34.496161610526634,32.74250525015627,31.101755634458932,28.813510828172994,26.61346010503723,26.68333142966039,26.081359293964812,21.66500329334534,23.6828689278622,21.278214324515666,22.140373458411588,24.701404912241216,25.351634105883623,21.476877526674173,20.642335667107986,24.588452120478674,22.3335833723825,17.124671160894582,21.522105164666186,25.732532440039506,20.573227241011733,20.287499297026358,24.291391151212853,23.843483227881027,20.0553556323918,22.88122266352962,20.99428465766628,26.13493099772957,22.617170018733205,23.54752690822434,27.652153629315514,30.77915603832937,34.93376766853979,35.57270979360742,37.282318417626655,35.06664291714639,37.33086219699226,35.14127803117624,37.932521324275704,36.42952101274112,30.49821662117243,32.93747106396623,34.972124322909,30.599648482546698,28.54298493488426,31.173084786998693,30.084418899673206,25.99718944220107,25.260051055839142,23.574291537515112,27.136171746033778,30.442495630158252,30.887684743692454,33.822236243647794,37.317449422220015,35.34265495394976,30.798566420953776,33.50809905808049,35.244496442201694,30.68435061227225,29.02578018212628,32.49355427969024,31.58691211074458,27.831595195478858,31.75684306072966,33.48881637430029,30.133527980137373,29.69573522046594,33.166890862410696,30.861321881922525,33.01534017745527,31.50097897935564,33.975371189784894,32.73070393136572,27.18920192731361,29.51252906274511,30.33190436055007,27.247375415954675,24.820210155581336,29.91798075346592,28.40253576778556,22.96319055174253,24.42047627919235,28.69521069735885,26.406433261688512,22.357067436013047,18.11938094459274,20.914200580868673,16.995082939935987,20.184452815409006,15.49307769091593,16.646360270020807,14.950607705392041,12.010891235996185,11.527087654458295,12.468404511320548,12.818191644019592,16.39946133721806,14.273561683051998,17.758608981522393,15.721408478189662,17.17033063690078,22.510978173617065,25.15642763754702,26.603463635583882,21.58023296926251,22.316814347169643,26.228578798094663,23.9284285834787,20.251134531718662,24.740950843324775,27.779298937436863,27.479967029285287,29.601772890108844,31.2345953691497],[20.06749394663777,17.698170058947213,17.73144285844593,12.50377424272708,14.901304441045907,18.59311591910376,20.23809316267777,24.83658327382882,24.92166628262739,25.41845542228646,28.741916002193143,31.65339927709843,29.820026024907246,28.251994302235865,33.438903260238085,34.3117538269572,31.40084739226491,35.28774381638787,35.99371573763295,38.02618529372591,40.57394411364797,43.538964192345134,43.485192100529616,41.6925374527513,38.85274904732207,36.02699194318822,34.43150802231544,31.833747949060317,34.29732787239328,35.06610211190172,39.48087462065903,38.93394273302255,43.03616053272519,46.07987221293861,42.995765649501394,40.4194562978524,39.21343480853126,37.9329224562369,36.423210108390585,41.25689425014006,37.25043942691555,39.49452168635166,43.415168433654685,41.494190358873354,43.15765273796038,41.778101280832246,45.817837719951825,44.9462221667768,40.39707488958235,44.144848934082326,47.224468920992656,47.0580748251915,49.299084848118035,44.34946004617132,49.02763266612032,51.32421723287414,47.37504626201956,48.70863423968298,52.96527690959348,51.22538485179333,49.0647412715637,51.55002524359301,50.657413868945525,51.83612859192395,48.50958276034036,45.60206423392579,43.39815000997825,41.37876498318522,38.7735277941635,37.869051365321205,36.60906531434959,39.20759564357655,41.44589168714378,43.88700134611247,43.581403651389344,49.70230472360967,47.622375797204846,51.008290147892914,49.16960786373956,49.254094512423336,47.35331957561949,45.54135179085509,43.93560578165821,43.05700570575125,39.79904180120921,39.812267622589914,42.02252952503168,43.967183669474736,43.79146787162412,48.04480663721507,45.973261881109465,49.33790083816663,46.50013057230401,44.86416517231695,40.21131215058393,41.315809459992224,36.96905481217053,39.272762337253425,36.790991343402666,38.57311186630835,38.968199214957735,37.286022203464,38.121900861272835,35.253416142868176,36.212787312413816,31.602747837017542,33.5393291151364,31.095486487935936,27.33643467868099,29.05555371049705,24.757796493497477,25.268278867652842,23.560015581352083,22.740298288161128,24.70868238666289,23.260346759730762,26.957674457916053,25.855995466880668,31.298201293434524,31.345522973368155,28.494336066233355,26.181622059316297,21.950566080140234,20.574705503847,19.534457807763204,18.948799765853543,19.604278447590687,21.216358802126912,22.923911944439418,27.70215683358324,24.749748737704813,29.19017438122533,29.425155668610447,32.08390852155449,27.081248297666004,24.602878795144555,19.812107113041,19.911679831093235,19.00574621757243,22.94123798425965,23.831119754334757,29.070999726345402,29.021709896187268,27.31358981232051,31.034711304398428,31.05616152145619,27.914005806548428,28.57617787933557,28.191654615660525,26.96115383961754,28.42050978335325,29.80296131891288,33.973605442642835,34.60993774443484,35.69212511703477,35.627671376820146,33.192526830526305,32.67456936962237,33.13909597438413,30.96638095455551,29.06530820298386,32.56561125613555,28.42937022110781,32.90437500859691,31.106607022558787,27.11884870402818,28.725837208004258,28.660601241628765,25.34779436158059,22.998059435636346,24.405473816146348,24.631308580716045,29.52108701718225,31.999241694948807,34.39669363282191,36.29298552024515,36.26605149746763,40.97688204090582,39.22563729337449,39.425397665685615,35.99724099202549,33.15030551138687,35.53256274493958,36.84347290654526,34.379841550864356,38.379120771200164,38.39328806471895,41.85059977114267,37.93623020142094,38.68488868573499,37.01534747514122,35.400627331383404,33.204633687664305,31.013376309367096,31.05334667790982,30.361998648804946,25.88964204960142,27.677090535407316,24.941537779769572,25.644421009574266,27.821253473447037,28.23651907003938,24.41247015435825,23.3464825574705,26.93810308057295,24.392248838651145,19.08116677902411,23.21838118164081,27.185098423958305,21.561284752414704,20.9611487961701,24.807730614197478,24.141256901619162,19.764172584371003,22.518758409656826,21.050714473825963,26.219170393923115,23.183405052204165,24.617400894986055,28.56735117630644,32.13238217460766,35.97914356733297,37.14121647355518,39.160348459145645,37.316736849444574,39.877006219604915,37.956909994825125,40.9376544636436,39.16721156506635,33.36178226278731,36.15402409802711,38.1642616721402,33.64925365379586,31.883430531181634,34.78679790323437,33.40100692591032,29.20971869255819,29.075893775824753,26.98124936664055,30.796016161497562,33.92989694310445,33.93645623716489,36.922497016360474,40.085363826464686,38.24860939814586,33.73682743938513,35.93354917914237,37.60149214817865,33.11401170767834,31.176654736603805,34.23765978836658,33.11713302969077,29.2586391852895,33.113409363581546,34.51620766815572,30.79413952058381,30.424929509840144,33.99023857540951,31.94566933857629,34.551740809057925,33.50583531347635,36.10525441303294,34.33303189949441,28.931521638341,31.82060312024397,32.30902858740079,28.984393243035093,27.20342148463734,32.31349893588901,30.261273870510806,24.978045865073142,27.103999226711746,31.053193476567948,28.25124151944565,24.28933163484069,19.815297783862707,22.201120311923255,17.76241707498174,20.572798170404685,15.809322607813202,17.719034978102734,15.62006923724555,12.221994525714937,12.916359070142077,14.142965769644595,15.499524036699631,19.100466481230164,17.331675387897022,21.204472173292203,19.003135526321717,19.507230880316673,25.043525454078846,27.361976021189,28.738374435447575,23.599465948981617,23.768046131210916,27.47417657522904,25.28580831654504,21.07796634741771,25.199663281554095,28.230835411369753,28.020246375701017,30.382420658757965,32.13438715222034],[17.499739385931342,15.08960050259677,15.101249628168448,8.884441165816938,11.586847045994846,14.335823879359229,15.766713831451767,20.378047500487664,20.191928207876156,20.751382412311134,24.0320624703446,26.92547346176829,25.306900872650118,23.720684756224408,28.92070894539262,29.875162644627057,27.230916436600122,31.287412424786115,32.416197018338906,34.49934839319459,37.30583382843094,40.45891694484803,40.60689289861118,39.12668777439031,36.117490846666925,33.02583262239148,31.271760035617056,28.307904680757485,30.414961601497144,30.922877466189163,35.1586290219115,34.55782874163573,38.56338610268161,41.74685190688833,38.81133666610312,36.41255654186433,35.215381070534974,34.36459965150162,33.15556245782327,38.31950278592635,34.556084384460334,36.432881988086216,40.49604063948304,38.97521257869224,40.89210674502955,39.91304922455199,43.970638835879484,42.73333096065222,38.45031885207941,42.534130553046786,45.25371189397107,45.06567206714724,46.999651083030486,41.81484672802593,46.31790702686918,48.6228166629862,44.60317112526723,45.534667261725886,49.904345137935465,48.508157422824844,46.081394325096554,48.25700366188226,47.09651970309264,48.45511222902769,45.30602778004272,42.163279451975484,39.881958008196946,37.56513743106543,35.03255764972295,33.80174415766305,32.70859952289746,35.3705564990576,37.42346776704237,40.08571122022348,39.54288908860322,45.704024128354526,43.771699639900476,46.996290206204776,45.31350966315603,45.65708549202756,43.67456133479902,42.182684390849914,40.40669149463212,39.92033470096391,36.76392086005256,36.34776293039067,38.508719288888585,40.13117184407598,39.966349791085214,43.93540339894969,41.81613479787329,45.11256913495223,42.14323836682373,40.38133609082345,35.6932108105841,36.70787680810659,32.34187085996415,34.64507646562877,32.13924264445007,33.93995973729441,34.514671397311126,33.02670553517692,34.036857455339295,31.416048978098225,32.91647956015695,28.317741089051744,30.62098870780079,28.65008198127034,24.818610490833944,25.95496764269605,21.396666305347384,21.6736193504659,19.430826391932552,18.854695712327292,20.535887718306853,19.47980033944654,23.262205844104837,22.714736984764553,28.052790177079416,27.573781231367875,24.703540080146297,22.111532050263012,18.19693381237812,16.484809816021198,15.126176879443328,15.235557786899813,15.806470071173958,18.01396153483483,20.198030878849003,25.043212207803045,22.94293311124491,27.492863759844376,27.854666485870084,29.856218695034972,25.087564803114542,22.05222071269048,17.98422030075179,17.5229508400177,16.453535582253217,20.217765936301426,21.68524817600269,26.962199804779043,26.295735692742184,24.358809604596622,28.038674900373532,27.536895828887566,24.335195203990796,24.61012946381184,24.235403050040798,22.64959481037923,24.257054336367755,25.323237431586954,29.667281326804535,30.169404143349585,31.07685592058835,31.124120296762694,28.695696682933008,28.440711993097132,28.900536937847615,27.158715240260236,25.653670900329324,29.021540797570882,25.41131284912136,30.008208208722053,28.88469728967461,25.487131010718876,27.29912359293492,27.94036078404321,24.746964557386946,21.89577113668285,22.884998071815616,22.44632372658324,27.052507328979804,29.14374961763679,31.173309313307733,32.82889243652022,32.43810374699092,37.31008179038657,35.89943785157727,36.25941394444958,33.26872034776162,30.214589580304807,33.22346088606954,34.905199333354794,32.35103937944446,36.17338487039098,35.90391582810476,39.77466927145148,36.136858306049845,37.19890492302692,35.90935597684953,33.980509726912686,32.167904891467394,29.957627190094232,30.10286395702329,29.77160849384623,25.085371273520295,26.808179165903525,24.173004194337135,24.019430416746683,26.650961371974518,26.346605166059543,22.360387473730853,22.23185487976046,25.643894569065683,22.453172406311413,17.90106070933391,22.37503004121571,25.618169745189334,19.787854908747978,19.962043121213718,23.762313486023,22.31474503179013,18.47666464823375,21.993130745423255,20.945027227210755,26.047622261330257,24.181906752546084,24.852673405031833,28.642597282043234,32.499268567317266,36.20846863943763,37.562674511638704,39.041452656372776,37.003012955111494,39.31968217123598,36.97104922032494,40.32902054986233,39.00587891281741,32.95445964687224,35.52868534542403,38.1621160918726,33.87953728220531,31.716121115993843,34.64702601300808,34.049775778122644,29.85022291922209,29.05871292205048,26.65337651302633,29.613197541586477,32.822800841211055,32.63804343926361,35.1703052890982,38.251206291670016,35.95649889757731,31.72033791145758,34.05766733306631,35.202579950288396,30.530911741447127,29.091360974576098,31.95144518635792,30.517117243098397,26.99099713985296,31.275741115071767,32.383245644196265,28.49149077957797,28.816636552986242,32.595364374956404,30.845873363805126,33.39363624013494,32.14118788806399,35.1806906679839,33.74480785883315,28.15452236121588,31.16462970046279,32.2492461499,29.004715484303123,27.087383984339503,32.63801811934332,31.14672454733713,25.729909907316173,27.74066230543677,32.197687998008334,29.848876675983927,25.861495574609833,21.241669922451745,24.539417519683543,20.263752281085207,22.44521946563959,17.19313398699118,17.991403365698382,14.78436236946956,12.731837276652787,13.530490283742568,15.745583616072574,16.36810298525473,19.124819759464607,16.063480876630784,19.652156606416817,16.477430314248263,16.89646794711888,22.118550417352594,24.6149283202974,25.379347310621533,20.18712701576758,20.878352758589205,24.22385895245786,21.3814556556671,17.575933073266004,22.14561980204553,24.74639704606533,24.18426583510766,26.447695160992367,28.12251438297238],[23.606711202178854,20.991718667956363,20.392293550472623,13.973006702523849,14.410090181160392,17.95868793196601,17.96185211970856,22.555644267458945,22.14137104251956,21.2906516363116,24.591487158419405,27.95135976300711,25.093700102034713,23.226888430866286,28.261566390301695,29.047338934922386,25.539476899474064,28.993191117666186,29.112632373721453,31.257479068440624,33.51692334520475,36.50304326378115,36.2516131827889,34.38733565307635,31.67638640005674,28.84591377773873,27.550873048705107,25.219405319444196,28.106975524996113,29.50697511453597,33.776886672644345,33.858388660386844,38.03683759799172,40.57468346764575,37.413568124812706,34.4218380298034,33.715077015378725,31.718083481210847,30.172935301021578,35.16349675124801,30.655577967634418,32.694593626773894,36.65757782269095,34.708196123122775,36.15955579549468,34.83332474966643,38.95343626569102,38.21082582097887,33.80366846621939,37.72517012748392,40.8765425273684,40.96261572615985,43.12138230493849,38.18754144647252,43.116932719377445,44.98080509131804,40.85665398225053,42.33623901491695,46.495563514922466,44.53022788841911,42.17748706705654,44.70661824864593,43.98732166766976,44.86060885432014,41.46643702096242,38.8003320520204,36.44883883911632,34.74441668424508,32.018000915774,31.566802008007958,30.143144362360093,32.79730112848036,35.09638055840206,37.16804906628346,37.182514107113306,43.230348507339684,41.100347173812345,44.750725189855004,42.91239721953459,42.917266581707764,41.45298887123159,39.68431138153424,38.66449281640382,37.81301763118055,34.22660055876571,34.1542484483444,35.88365419220175,38.29626125249613,37.565279728161315,42.15576773985207,39.92049925121981,43.265889783532344,40.71824913536738,39.4856647546721,34.98103555694936,36.34524904151379,32.144823349758795,34.70550248712827,32.705993624142884,35.37933092271029,34.85056775663418,34.026479018605855,33.96936367585754,31.932356495281088,32.73509963166731,28.63970232150426,31.321086839607272,29.149139008410273,26.00471975521795,27.25373889450848,23.01010866656058,22.018683793956537,20.161639240022513,18.145190576416383,19.38379171149939,17.167103274202848,20.48702991674793,18.81387088755475,24.16629510419539,24.716918088382197,21.91260860503341,20.081912858683573,15.48888732529164,14.849268010776525,15.039218301425713,14.378286306652472,17.22957551266061,18.193299728206235,20.63872046286196,24.881472370488446,22.732520224365388,27.36931394813748,26.665223687904806,28.989850318210603,23.55829022716477,20.568330196983894,16.728093169259047,15.126349626022394,13.073978903331502,16.762694084976125,16.82224250901662,22.06279458751742,21.96666948792357,20.648152936923466,24.512159107869017,24.908899979458088,21.95130945117499,23.36055111133925,23.764205274871806,23.184932548479043,25.665468310356648,27.335379074223034,31.98170264331316,33.23957317172022,33.326494538137496,32.76352593089048,29.67570675179133,29.449126493858902,28.896672201106835,27.18373405576255,24.37310985379159,27.09655883988359,22.616917005875486,27.08706770673776,25.53775057668577,21.406649842888008,23.91716226037476,24.012111721440043,21.435508571008082,18.304859967259205,20.049772287467796,19.537517819044815,24.51845469233121,27.100984262920026,29.423694761170584,31.801113362721996,31.404634994407488,36.389492104790214,34.20008429378795,34.88228106988524,31.16538615405076,29.180476398113356,31.6420703007897,32.84998526791897,29.930712148977786,33.166187334614236,32.58278161628538,36.19239255281355,31.853105058654535,33.26002241239216,31.984815648544313,30.608074879842306,29.186005464271496,27.54940747624689,28.296032073241204,28.534012207181522,24.304341759899266,26.893904208785948,25.181080183823845,25.46001227709213,28.834619452186796,28.96251248404476,24.884145465111274,25.13020145340784,29.065687827284354,26.301650452662834,21.828318900726728,26.524000645923884,30.153801519314072,24.796135077726223,25.133779156364536,29.08281202030236,27.885803622233883,24.371610017249996,27.785752863451574,26.31564331286605,31.449806056696325,28.607926868898435,29.24579197426386,33.265102088561825,36.53792860912756,40.63674667477543,41.32753092918437,42.69725801095341,40.25801564923657,42.23302737692432,39.59246053314493,42.49681701432088,41.451362459867305,35.32872970731242,37.33459493375482,39.706286513332344,35.58757882041696,33.102815601700016,35.36589585992711,34.88856265687522,30.98301071708176,29.252753929300994,28.038598374361445,30.63925481743834,34.21602888193344,34.92858574414848,37.36906429646093,41.021391502101245,38.423194187163034,34.202998611323665,37.372674038215486,38.53809757112349,33.71831079128349,32.7875863633673,36.125209335439415,34.873728084740115,31.53530165468262,35.91293906794353,37.32776889230538,33.7423010293009,34.03875445969451,37.71810792556444,35.68550580907552,37.77861159288006,36.00843810380924,38.801335260790935,37.9153568368178,32.2260755938317,34.48053198831834,35.767969661228804,32.78690811827842,30.106413457060587,35.3815980082701,34.27220282532335,28.762753721834198,29.865566639095764,34.403560251000485,32.410221277505684,28.35061779707414,24.190889397815226,27.080623838330645,23.226210521482447,26.37392484361621,21.523223503539175,22.340638147268905,19.8881324549529,17.597403558953843,17.35667575636852,18.584118597159428,18.48172595166678,21.679195071047015,18.46529714488464,21.267997248265196,18.11099755854428,20.261885746459583,25.01436818014255,28.093725484661036,28.60413450789729,23.580310728895174,25.27399506612395,28.65916274635661,25.1876695477337,22.330447799962364,27.386581385086142,29.72644352125228,28.778292536451843,30.665196414078633,32.05869439245772],[25.064337736277686,22.943259059960422,22.978242350480826,16.266895395683676,17.66885869566748,19.90272887673323,19.73269107764586,24.21434639787563,22.873585228139493,21.711344107086763,24.579510747142074,28.325266463201327,25.72903358864188,23.040093030987833,28.071901882679725,29.346417613228965,25.878118753841157,29.065365463759438,28.87646890031042,31.6366696990183,33.645058569092924,37.005289012094075,36.44598295215885,34.64637765979927,32.23146297716262,29.06847664146124,28.331757898349323,25.93352649339716,28.796516522654453,30.41973528424392,33.868468894633125,34.63771293812413,38.56323584221985,41.01327131399498,38.18933477080025,35.11030164404206,34.97193550027126,32.93841512035057,31.713401812422337,37.08427727013642,32.266846846928054,33.700190261685975,37.819424757209994,36.072461594235065,37.24285751696187,36.06509363838438,40.2364481072818,39.687509426127114,35.59723355995934,39.65639055493882,42.86238550965443,43.16537578688704,45.16610991784572,40.21916978621265,45.22594515845863,46.68392839126761,42.350450381226736,43.71882584501573,47.847716116138116,45.81464394535745,43.04457177265032,45.292227482316456,44.47971513350241,44.970602444461974,41.76403055698845,39.271455767804,36.24535365888784,34.61624988609367,31.327989915058282,30.788818478216673,28.993189131942362,31.204921029134802,33.97971703189251,36.280490766833694,36.76817950103496,42.866043001453335,41.26170538920408,45.014161712660886,43.560840930970656,43.888819573244724,42.801192624143304,41.437371260687435,40.67283904436359,40.18334662681059,36.495277333837194,35.99776619355646,37.23089621595705,39.644216421442415,38.32292528341349,42.7433147978714,40.07676177995091,43.0240440830572,40.439562636628146,39.38753362435433,34.89719642300568,35.88529114156549,31.694793237956137,34.9845580355261,33.270404411418184,36.29392192215581,36.03884159229871,35.86295405732243,35.857676857238026,34.39436806980833,35.703759170515525,31.750728706839123,34.76975762903468,32.93267260945487,29.781325088736757,30.61265307999341,26.19432592777932,24.8847772525524,22.372024518896463,20.31601507361539,20.47087190712868,18.20935404428133,21.06717972113845,19.21574635721174,23.829473284543415,24.538415799084806,21.376722601068945,19.777047248262534,15.38797356924261,15.474605721522481,16.23277624765812,16.85913198424556,20.070369786803493,21.50604394115594,24.318894884250742,28.49130108834006,26.84724314928495,31.50150380029259,30.70733589048397,32.722820452990454,27.34058221089962,24.02701381482263,20.770796550381505,18.512557563966286,15.800307755464056,19.038404378601793,18.30544850468103,23.397382457158052,22.919720552589823,22.09042266955532,26.051133207721996,26.31851345146503,23.502996621622838,24.964569752110098,25.835234342736708,24.925768355435654,27.82442948942848,28.838719345358374,33.764256846667315,34.443446113267186,34.28566027192515,34.12739045850799,30.999560063329643,31.383945007744448,30.537292892656705,29.62854299663663,26.93769784700411,29.055114586255964,24.862188732050537,29.345522455002534,28.312232228388925,24.2688319863241,27.308057322817007,27.447669100415215,25.273832429726838,21.889406203614076,23.725836998118634,22.732764964521134,27.554329308498158,29.945524438220318,31.950599101619122,34.321446362362316,33.362740639492586,38.63265284710952,36.573320195929675,37.60331508371249,34.06568709463511,32.31392664872428,35.10111055394781,36.390157444992866,33.29361146963696,36.054478206585664,34.98929402162921,38.76706923119389,34.16532023710676,36.1142428028033,35.112849949247355,33.88949168172815,32.88147975366888,31.47784100037937,32.42849758260589,32.88242825986576,28.693181477584453,31.31541751398243,29.61260273410603,29.636560417650987,33.04870500724666,32.875968950100436,28.763027256627193,29.20652116631057,32.961650633564346,29.86668889021536,25.56058246621052,30.227042182220956,33.53382779064616,27.867148213070095,28.252833436264332,32.08581933051917,30.494908090068485,26.811372503948824,30.372353257088626,29.276778928965985,34.40807097842849,32.04872766520738,32.85322274739162,36.77349788767683,40.34121396094143,44.24435652028188,45.25949736041915,46.69263875026255,44.376382001513015,46.42284748336272,43.770236034381654,46.83266994586682,45.78889529044892,39.64953784735843,41.71894700564939,44.19499254475688,40.060339392754095,37.59008946313533,39.89825851681725,39.43923502513869,35.50550136830287,33.80640068359188,32.50260948070646,34.96500475907327,38.53784591184083,39.088930151068745,41.38815508770293,44.89911955741016,42.15014735731575,38.07408440992707,41.105907826925964,42.012252361936056,37.14839007763842,36.32508936939413,39.36744085192442,37.85718175699719,34.63314061536054,39.1316127560509,40.22446803551812,36.3458694332367,36.973518930925486,40.77810562061673,39.00255967685441,41.33001365066952,39.73267189552681,42.71680497723816,41.65933572735869,35.982629310080256,38.533584465749726,39.80084556580424,36.70924637004476,34.279156909583776,39.64881699547998,38.369948485978874,32.882024596235105,34.23797277129685,38.716888461374815,36.52266072317431,32.47201913560935,28.174203324663374,30.90774571087911,26.788144154993713,29.773621346305532,24.833858062804207,25.915920214770097,23.047295305736583,20.738716641418115,21.058825078985997,22.48320592854776,22.73600568240407,25.92704920282509,22.603573605914235,25.461758214036415,21.92917367519469,23.725220602920015,28.360933440951257,31.37955060183958,31.487053047081876,26.45295549224797,28.14420078332395,31.169365121259258,27.327261919107574,24.533579977475487,29.528039047855763,31.53225888993478,30.353865262812167,32.26138283542871,33.60448373233333],[28.903013823559267,26.761046193342654,26.663318659448375,19.938561451666292,20.792306407897577,23.144927546605985,22.48961592187725,26.820599332297014,25.28711462964183,23.489065543177887,26.16660797106173,30.109613257198838,27.03753955433642,24.108139027085176,28.877789436640317,30.148531037253814,26.31317148384326,28.975784197368192,28.060971961176904,30.983099398495224,32.51692395396654,35.82531811558655,34.90769749876772,32.88451071480233,30.820643629906503,27.80077652920746,27.56968848340556,25.63297366613417,28.876519899074882,31.022603113531588,34.20677400522701,35.50568982771246,39.39749175076849,41.43857337134364,38.61398552276727,35.23068341637169,35.51130025384389,32.85534827861564,31.537548197286675,36.79010240005552,31.5274457843117,32.864581383296496,36.89061639084509,34.947945745690284,35.69965386509479,34.336721058636094,38.503688700383506,38.361255628275,34.342332344059734,38.25228048570014,41.719239997269504,42.25577298079971,44.33730501857934,39.61462171686473,44.829460546618186,45.90271457142069,41.50186145607019,43.16621132753626,47.11572321599083,44.73160670093761,41.926884284856754,44.29839824141158,43.7449026492989,43.81629590967438,40.537386772952644,38.43365431578546,35.20476962357843,34.018759556040614,30.49910705563441,30.440278134132566,28.35859767858592,30.365544390687155,33.401885450374145,35.36000492070909,36.33488117198456,42.29568230275022,40.73826934570456,44.72804335018226,43.301643795394526,43.50676847955227,42.832400905411696,41.42155205860676,41.15381042461965,40.544160495070294,36.652603562345305,36.26570392264561,37.10863826180934,39.93867786593453,38.165223477459385,42.841010884810515,40.0304014654152,42.85920797751385,40.54320975538121,39.8536247040807,35.54320880468783,36.60739546529337,32.59231922442794,36.128385778795966,34.765425049015526,38.22802810497084,37.502591308683186,37.77084035676336,37.26248885526808,36.205325504538195,37.24297621499285,33.61529481530711,36.79879765297669,34.93674586121963,32.12527421011074,32.95157712995162,28.719957594813817,26.885227678223472,24.523052426283833,21.906789111503226,21.614342894995257,18.840135720385394,21.124544135537416,18.57201590268782,22.728380363392358,24.164789943780846,21.06023000800546,20.099286971284794,15.656817012148052,16.587557347878548,18.17245427313777,18.63652182916836,22.649362961352697,23.60340316179382,26.469544998950045,30.268284129037717,28.687445285207072,33.276391796395686,31.989363992270803,34.09036195030766,28.520902974039352,25.301500645630693,22.359232902003953,19.602770592839303,16.44332217457162,19.265635249168593,17.393723809809384,22.149498597747183,21.978516700177412,21.75760173199233,25.701163020820072,26.47520136226473,23.94306342829844,25.979179423109308,27.304556626988678,26.834231810973073,30.106745013128876,31.25633869665269,36.276540594342116,37.171460279228846,36.62427901561604,36.269830104374456,32.888504597072654,33.38534937369085,32.02787059741633,31.298399518748294,28.06304405585488,29.65591506857922,25.176415112758413,29.439989534029326,28.29728271061429,23.964945127629026,27.418211995956717,27.21269962335914,25.55449933723666,22.13831040804469,24.338320335793934,23.27345320364344,28.085436580894072,30.63796029408213,32.69072729972648,35.38906097939977,34.33704910983979,39.63175802495133,37.2173328071385,38.46830981780187,34.637866140397584,33.522173911793615,36.021943847562646,37.045385320465286,33.78467483235773,36.067829140173,34.74265795582646,38.317983073152064,33.29719911391417,35.54819826529352,34.62544567777414,33.79966191653312,33.105855822846856,32.09020896179046,33.35854991703756,34.09794114651993,30.231905146716144,33.189326683646144,31.894937949464772,32.09950196622861,35.746027885565645,35.73792378234735,31.628688817603912,32.18096357706418,36.0919557264479,33.153270329750484,28.868828242743387,33.57593421414179,37.01336080841985,31.48053806100864,31.88457222011268,35.762643837885406,34.24873016538881,30.611026177075473,34.126279399519404,32.909979426837076,38.06163375076874,35.35340848567871,36.211145107333735,40.206444270104924,43.57357944820854,47.598852243542964,48.39191512208276,49.82317855915471,47.37908305161067,49.30560303846548,46.564837832693726,49.42637638307417,48.475703899260466,42.35097754682468,44.19440263802392,46.51928656886048,42.465855134809075,39.90795285268225,41.9124555842707,41.46016887053157,37.68849843798335,35.65788454717228,34.876262062861,37.190511594364516,40.879812180611374,41.785760811760426,44.03686915651035,47.752797944178724,44.88879148625473,40.84970717685759,44.17450811396526,45.07474341292417,40.173011301465586,39.53947328556736,42.72597333864772,41.26729712524027,38.116433073386546,42.63891384215484,43.81737617069121,40.02011949447266,40.64483065128986,44.4212353718705,42.55824917981768,44.750012592298766,42.99197126639391,45.87636292381011,44.9912360079488,39.29731702153438,41.58946180876982,42.89298078486032,39.889292321281935,37.22326261841805,42.444714404952066,41.2608616753437,35.77863975835264,36.8161956741392,41.25108123005473,39.15105754885869,35.11204080904843,31.019187039317057,33.49169317538711,29.531160789653793,32.85058675839496,28.092715879267526,29.266951969374198,26.64451671831831,24.200378581019454,24.26555579950486,25.336053549716397,25.425519916469895,28.769076802023683,25.492576931320844,28.054431222652067,24.596955030868756,26.904387338218214,31.339144506219636,34.532903851229996,34.52113146482019,29.59153411449188,31.590434875046988,34.59346238443516,30.538525666059527,28.07186574623656,33.18045246514054,35.074014161083376,33.7580689527931,35.51922146083594,36.74121538759219],[27.514076057389236,25.674911557340618,25.82011770098167,18.97996320823157,20.121818579605566,21.082518419210928,20.049251453466958,24.080126340041872,21.852857867863875,19.855231465976896,22.170487797360146,26.268053005640297,23.555143050708523,20.15128212667986,24.904919458370305,26.5230835031996,23.013520348239165,25.737715220950566,25.20630432286767,28.493477887119347,30.259253082141015,33.96199433463372,33.19165335926561,31.602676769591774,29.42751917518844,25.92579130420532,25.71847055850732,23.292258721310205,26.08311006942629,28.022891123093117,30.59966754197302,32.155583475759535,35.80521618062819,37.97552702044863,35.47617024458663,32.27705298416648,32.800853536868665,30.65520204871111,29.824096345280164,35.553999486059084,30.534493855600694,31.21262278726092,35.4551770718686,34.07140672422312,35.05459856673662,34.23490763855293,38.40574984223144,37.87058685622365,34.27374763288839,38.57579763357604,41.61527746413728,42.137009407458045,43.82815996064437,38.84974374020846,43.848022430616886,44.840262583590395,40.3216286506632,41.464542379570474,45.52666833311079,43.539540423828164,40.29824309347752,42.186927676637666,41.26376891727263,41.4210806417072,38.44159928173155,36.10151458196762,32.488558756922615,30.944895254404127,27.22044642796246,26.689713634848655,24.59840531546767,26.468073688487927,29.560216259756636,31.95125202486989,32.85144450599664,38.91482480802848,37.76814212539926,41.60223688026922,40.51748736519465,41.159221823893304,40.50821874918204,39.6144621442854,39.211312795758914,39.156248229883964,35.39420407799376,34.38769689278849,35.00484621951074,37.43379973095696,35.46079480639249,39.71644912892103,36.66858785120291,39.244441111130996,36.73583550585038,35.96933354983033,31.620807309105565,32.39066886987348,28.359732735703595,32.2585014057137,31.023481682867967,34.630080912262436,34.229171334369546,34.9595569666709,34.67220356716104,34.08591358985903,35.82262733595333,32.29682936474365,35.827581014534985,34.5084605598741,31.653277235102944,31.854091902618176,27.474859742475807,25.38174516236758,22.358719458080593,19.978869414156897,18.801959095125984,16.438715477499642,18.522072132305574,16.589280759015473,20.234293589175174,21.055621926255977,17.689913246442956,16.526159932475256,12.590938196789981,13.693305782375948,15.442125378065894,17.17914175397952,21.209446118880482,22.737758643252935,26.005302763889144,29.751350704900744,29.038278250086815,33.625101935330136,32.5439837060336,33.9523689949511,28.74363473122506,25.01766651572726,22.913113512704022,19.64913734570547,16.24764995564456,18.626858902365367,17.241504653565286,21.901739409133416,20.78914127359179,20.47233751818634,24.360700348323867,24.44889859577235,21.941816096969454,23.559944094908946,25.0988465491983,24.17157069023056,27.703909335314563,28.240343639400816,33.40992034774957,33.9018959143989,33.091948392833075,33.036872433861404,29.703827426013536,30.72521081845099,29.253442643849162,29.305825497821953,26.5868379500238,27.78790130795874,24.067432910948643,28.4133742420857,28.17770014386254,24.597132038489367,28.245563014514474,28.76752533745756,27.21961478638257,23.419385180433387,25.142318069483125,23.37092203807157,27.74491777144926,29.790648267657026,31.326220976949052,33.716768177402095,32.096576804810404,37.60479084004409,35.64256754541458,37.14174872315776,33.88404072210844,32.594147335204404,35.772490410296705,37.186370019877074,33.86703037812301,35.88136905873652,34.1654735039601,38.21284883144783,33.50648545342849,36.15873116409328,35.67166863807872,34.52214386914117,34.231270175788275,33.18652031852619,34.4927653294769,35.4773645561752,31.432548833604123,34.20498369296391,32.88285960572543,32.38513624786836,36.21485094435115,35.583752731264276,31.460133435767887,32.642411868422315,36.256847395567,32.83473294734889,29.193872136609393,33.94973168717359,36.72658691146144,31.094156024790497,31.94712470028319,35.64977292384489,33.54793092814354,30.287596502247542,34.190464027025435,33.38898223807346,38.411302773972544,36.66479847944509,37.126792775439185,40.928850477996214,44.61071898616802,48.41497125887953,49.511290188938396,50.60747331098242,48.139683876657266,49.95074218123308,46.96666502474309,50.17955112353937,49.511467133478554,43.262554003935264,45.034670426017286,47.85137646245534,43.94580271778396,41.18438090436362,43.30969036374149,43.39118963327052,39.56332241895369,37.26406150175854,36.08024450283888,37.79097577552105,41.44591675833892,42.05277588444113,43.914335097702335,47.41931314570207,44.230265669216394,40.505517003765405,43.7575320880784,44.172823658052685,39.224114688100855,38.96277659623747,41.805138986933244,40.04915697273118,37.23879839660315,41.99028656053542,42.80615439924477,38.85416048436663,40.048900590349575,43.948375666558604,42.42197296517055,44.66157818796608,42.89553680988143,46.12875922077985,45.364149956012675,39.634061050607855,42.147837549329545,43.7973452852011,40.80428247881858,38.24705572230891,43.77581213313094,42.85057035803986,37.32515582860168,38.49391354985394,43.21137226255086,41.28373283179297,37.23155088192734,32.93450695688508,35.959811282599354,31.906991493107217,34.7093914822607,29.617723074180926,30.28896795235963,26.98422779035425,25.262206910199883,25.624075044959195,27.327535827734206,27.250752101862105,30.05060202334247,26.098526611521375,28.475945001893344,24.376494841758458,26.376699649309256,30.370683700753773,33.54287485659684,32.93549641447422,28.154337705747054,30.429723763566543,32.91997528302231,28.38069491022566,26.400827902402085,31.548808783535797,32.916125383432174,31.27026883508863,32.888707811630276,33.97959106410869],[24.602684299936683,22.24954651365977,21.80766645439317,15.029920310936363,15.337050122654814,17.458864803659587,16.577909726605874,20.91971716114135,19.681739436850155,18.10804521630563,21.108973234293806,24.813533006310898,21.812615101466637,19.371517499566263,24.350475465749824,25.403202031069025,21.828227909793156,25.095428705938467,25.114713424744266,27.668749903684166,29.882615121413266,33.20626002149224,32.87353997625485,31.230515027048558,28.58495077108152,25.37672102254449,24.36623490588748,21.834149468410764,24.648820470773682,26.24897767242521,29.931487641894687,30.566896216283517,34.58093776775147,36.979234948129964,34.04955673079937,30.97146506846088,30.745484963702367,28.74516433621594,27.552398911978173,33.000978198816476,28.34522541412007,29.740894671883346,33.89684195165642,32.308998711038676,33.72347006652782,32.77674452243598,36.94252885035147,36.085376948054446,32.09149271941341,36.347634789263346,39.29316612707856,39.52220170899065,41.37287531289688,36.300780229030686,41.21564363255565,42.74851319396617,38.42312026007097,39.639931211735565,43.824751842103694,41.96791397947012,39.18684315630874,41.38865429649152,40.50671211019359,41.204433919550105,37.9961520632663,35.33284511769146,32.530213944544315,30.772883031962426,27.750323304369108,27.210340161282517,25.638030608493985,28.165137435355103,30.609810904893138,32.8167152974428,33.023271237449435,39.11782399505255,37.3174999245841,41.01546383657119,39.46184053888938,39.76259416359457,38.58131986617806,37.23626991660592,36.43339365575642,36.020021185236864,32.35783162927552,31.76529908293663,33.038488377651824,35.407246865582,34.19020243268326,38.640353778210766,36.101111064093786,39.20905876368751,36.65683796202348,35.577448989650506,31.109373284600476,32.33177783137651,28.182442424189112,31.20005703124612,29.521931892821662,32.691554001123684,32.07094740673697,32.00119285661697,31.75314579222613,30.46609038003345,31.773311333439548,27.993245616984463,31.238297950411813,29.616880390846323,26.68962325832683,27.243766789140242,22.920541544182534,21.129653084874583,18.616818341570642,16.257317136307833,16.32429466131312,13.975321493456775,16.932223360518016,15.291987111235054,20.205327208971326,20.67129331990992,17.64429332877015,15.930355845934734,11.404912400160581,11.371069461304263,12.396184704672466,12.933789325674532,16.769012248751608,17.9982875518036,21.052209523247363,24.9754005198282,23.865111128319683,28.49119426771775,27.56537705539722,29.210270204890296,23.93508625915053,20.368363097163517,17.75251743376303,14.928723290836503,11.977238880222092,15.046445137906632,14.739941146228595,19.89826707905616,19.103160856698132,18.039468518808345,21.9817834043916,22.0943967537629,19.255646878623292,20.747180574405697,21.733173114898182,21.042646639179996,24.1766959456422,25.40723095293515,30.37272906436192,31.460750400128976,30.9901272437979,30.518721992815557,27.209974090191775,27.559272542603154,26.47572047492821,25.632753094726883,22.829584819721763,24.817582785237562,20.744370530927984,25.261273913281748,24.536337710708892,20.875116082364958,24.030899337181634,24.650906052256403,22.63465521866353,18.941926028864277,20.506722520992923,19.075715996897355,23.70484629011754,25.93444606660347,27.80869295601559,30.181650856798438,29.146504968849623,34.439405553600416,32.386694670817505,33.50080714725316,30.079409846186525,28.40030465860595,31.387170360472506,32.80904508692949,29.647992752509243,32.25708806385365,31.064416912726227,35.04362635240959,30.65206841521539,32.7292816115658,31.967781510553202,30.54506285391158,29.818164262866595,28.47454625385643,29.560019954327885,30.342281491317003,26.18262804428719,28.882304426695594,27.514885589338135,27.13315320587896,30.959058609111676,30.520765951566606,26.394357702528243,27.48654568520234,31.236705778068867,28.039929930642423,24.3122865586867,29.123071940683147,32.13129001187803,26.738809304920526,27.61237368189116,31.424924534156748,29.626514748399885,26.537798512077845,30.37989015828158,29.26898191821654,34.297819091023946,32.2288976585658,32.475099787951414,36.34621239946644,39.79773773939152,43.76058175163966,44.59207558550643,45.591288427065706,43.011270194250955,44.754381300399764,41.76166361972229,44.87976702441645,44.22881837963268,37.97825103791274,39.704686532215945,42.491408256718195,38.612556079775224,35.81903787183915,37.94530386592531,38.07530236920342,34.259196011874664,31.91631833352695,30.718383147620298,32.489448813987565,36.14801531630575,36.846050802588394,38.819448833303156,42.43838039380509,39.37215378758715,35.504159551600566,38.87427344834519,39.51249920666773,34.57167376997598,34.21655992425883,37.329350811968,35.79385831783968,32.865641317564396,37.547722715529304,38.65614951060726,34.951492483832325,35.86934024052424,39.675755398449446,37.925905651799745,39.9583700650505,38.02934236835027,41.12835765308928,40.52683247582988,34.769626114524,37.047480883656775,38.75723275887785,35.86508065221249,33.097386915185666,38.58636226803533,37.851664119150364,32.30863849592406,33.27587140859204,38.084303426803416,36.367271579135576,32.3174834959518,28.120041537397228,31.382899577387693,27.560956578103678,30.408443247403223,25.342963681923468,25.679609926571366,22.622728482661177,21.048712011902488,20.973427416270436,22.633568946299118,22.20729661273099,24.883938660358645,20.882942483611163,23.19307562546164,19.268614012622084,21.577679943822744,25.699905669266798,28.96081397234459,28.70896184592741,23.856214508170776,26.18179644954779,29.03218640469901,24.776509206567663,22.69456442901647,28.002056557875935,29.713343709717094,28.27892289695114,29.91902270621545,31.088755886742998],[29.237963317954673,26.658092506967634,25.83555701625825,19.287472449211712,18.61267588375949,21.670514056584793,20.396731244938717,24.55727337873918,23.60334858009987,21.394676345626404,24.339376856520225,28.07251299915979,24.26639482207549,21.98184855147354,26.5503952154646,27.290064242376047,23.114288078473642,25.719178793041067,24.74865862635493,27.131373277832342,28.74327510215949,31.712935538873698,30.99882579005868,28.887276339466503,26.58166890270858,23.85759590443046,23.27628635433258,21.59085943171167,25.104120177828822,27.407777150493036,31.232202169490392,32.22948481649159,36.35070845726997,38.18491819495967,35.02332970961566,31.514827851761037,31.55793893689386,28.542118734494576,26.923602432487375,31.899747986398616,26.660750973582516,28.40789068006176,32.31654022238778,30.18971983524607,31.108800147034113,29.679995550049334,33.85348437827076,33.55397882539233,29.35773631299325,33.27853011872988,36.69553357915997,37.13704703627228,39.29238678900715,34.58324167577968,39.83416637313566,41.04866888203561,36.74607900284879,38.57227782601151,42.501525783818394,40.07969983224621,37.55997779570026,40.20520263577315,39.82062423189092,40.10914841922009,36.62341113360719,34.465968421652896,31.813473724637046,30.72803072250782,27.71218290534765,28.005379645435298,26.222212431084472,28.719559663155323,31.271948665157176,32.790056162782435,33.45235737673224,39.30616368856645,37.21122843582751,41.229523086891376,39.44132759478987,39.302274019066346,38.514359877467825,36.77617299812319,36.59702484487562,35.69676580098624,31.752070327830562,31.687646006312182,32.695036370486584,35.76380535744556,34.23829224802878,39.23292456927539,36.76009569905947,39.953433041504915,37.837122570021165,37.1921189090056,32.98949723052625,34.546943676715564,30.6538932378941,33.589339167953646,32.247915313489756,35.80207612775758,34.35376531954121,34.50081717032726,33.474830848633964,32.396549181844044,32.89977078898749,29.52819754942534,32.736130833466184,30.803880752755635,28.405784445116332,29.29403956221859,25.411223071998634,23.11337242903242,21.325091019123587,18.155742037986883,18.26362508672976,15.075885079476285,17.381910288241052,14.55053111341954,19.360455792252715,20.978944498031257,18.29151258186132,17.47726247805987,12.722046922416768,13.634247535694952,15.565767305022135,14.957635836102428,19.674098346142056,19.821894619114097,22.61879769605668,25.97930104044454,24.51584427722799,28.994757888337276,27.333271547543095,29.418090437003922,23.772701527319814,20.66580336732208,18.080260179503227,14.927419394509135,11.618103983160305,14.3334164029343,12.375703258570006,17.267789530201338,17.408012580827975,17.052019012175485,20.964200064269967,22.109412391182055,19.638822757742897,22.083682705585364,23.46552702633861,23.681976238556885,27.04203835477488,28.852520027875556,33.73508900597429,35.40842405713566,34.608750971964746,33.65137078415936,30.039890180527774,30.151708476241634,28.519871267871522,27.385368513949253,23.614364579387708,25.187912293675904,20.336581881797827,24.493042984813947,23.10076096803349,18.705555133054663,22.240561746963998,22.139568908887604,20.68811912686876,17.121903831312302,19.3603137041842,18.22757542797177,23.04244024932438,25.74397950437882,27.973303760617554,30.904351277719424,30.14673546809563,35.26332496849672,32.52654430672974,33.733074505685664,29.6522740474135,28.85987815928609,31.08212754843228,31.97259765784911,28.66281108129582,30.865464640323495,29.617501700659847,33.11974774949127,28.132740322983466,30.305611574377924,29.41681517425472,28.569035928009033,28.015216251235785,27.149687252694918,28.608187760659014,29.65569785601199,26.018725421293404,29.223217155917894,28.450555688963515,28.629785699343927,32.66552306749441,32.75167328190372,28.69989044127297,29.653461760731844,33.72072198874235,31.027311068473672,27.107886442529484,31.904611537864078,35.36825341719419,30.320641328480754,31.036580777773988,34.968433556131586,33.58892698506107,30.487981732226896,34.079181939152605,32.58435937731618,37.65628193924173,34.71316887285378,35.09605490635175,39.13191317705436,42.11777776072545,46.35893028987632,46.69490587551516,47.75918509023744,44.98699101671207,46.57018151825098,43.54960500119522,46.223021784998835,45.62139312821348,39.46503549565806,40.871908870433266,43.2637687184565,39.48096621417829,36.634504365377204,38.281041075626064,38.27194235538861,34.72339766846589,31.993029052889597,31.67654341012681,33.452614048145584,37.25664193611851,38.580167921401085,40.64065144648001,44.625510329101914,41.57818545828987,37.64339339021509,41.448080866359525,42.31326413626288,37.3934940626039,37.136771361673446,40.61702603659355,39.33995733851179,36.38276145431453,40.94571532883214,42.374655791325445,38.93884331878763,39.557435836683936,43.22795177806883,41.18834396362107,42.94402050477397,40.76392126682674,43.54109563908162,43.18977862738771,37.454021450053844,39.21035339653778,40.86158971712265,38.13602330083045,34.96201950602252,40.09666396623345,39.47867748118482,33.979454285982065,34.39241388931666,39.06084829923741,37.503246959179755,33.488525919258,29.690351226664625,32.49295194146886,29.006819493200243,32.46362727420117,27.778047207677364,28.318428319231355,25.94656911058066,23.96435570859128,23.33266432652863,24.262174719686012,23.573251537898653,26.590241374715756,22.97333602071802,24.878560415357015,21.48024442997275,24.635361919158218,28.60530582788335,32.07523930433438,31.996145647467458,27.310798319159858,29.892813443050454,32.95985739234793,28.76936672444329,26.93447154098819,32.31060899091854,34.14471304855722,32.7347161295235,34.22032807247338,35.2829155557096],[30.855920472059424,28.498334913786078,27.804019446781513,21.156415970130215,20.42953347720731,22.394187473448383,20.461506723389295,24.20163193751673,22.590334614641723,19.686291191461883,22.17725185566275,26.138300140300498,22.164317643858556,19.37731978116981,23.640063209730766,24.59404363616208,20.319709340099294,22.491476776237597,21.16916445732256,24.002957083871266,25.41967563119361,28.714307034075663,27.83570794007831,25.913105112497487,23.768651679522968,20.687628880228182,20.574414927964597,18.865176740515725,22.372639920395436,24.995268828467154,28.126421010491242,29.777496796796463,33.68188281489264,35.257843590780595,32.34178978211568,28.707907767190882,29.322820766817383,26.18219010947556,24.91620225722235,30.249445807823456,24.839100559565885,25.87034433271772,29.922650832391344,28.148802282502178,28.936885298520377,27.894762791212138,32.0757922643804,31.72792211899332,28.02588441156119,32.21700727895335,35.42105466475803,36.0544158301966,37.88833592729632,33.123082050772105,38.343349330850174,39.15530763909022,34.669657534847644,36.27940110255803,40.176000260292845,37.81271491323368,34.86511361203956,37.19720717491393,36.71010269070235,36.73106722166909,33.42215022208779,31.364968260279227,28.21814514490164,27.212524646238286,23.853330489252038,24.231540387848984,22.225388354673086,24.537690062039474,27.2849515900363,28.8123027811093,29.795303170974453,35.63135297298762,33.86730512401376,37.970868030201316,36.46917267470866,36.58942658299425,36.17005361516238,34.845772792351795,34.97778831245896,34.48076226623744,30.48011081802305,29.93768602479135,30.397266478678798,33.48784590214985,31.400066386852924,36.28722775709268,33.51007637274674,36.43314255323306,34.40056497816186,34.00446077841947,29.938706881887246,31.380443605957844,27.653134631971554,31.00936734429195,30.077970431773217,34.11039293446311,32.486732875250155,33.393868016358084,32.11018745846226,31.796065735365595,32.6845946230891,29.703754730724146,33.34225810847975,31.902032992639484,29.75079853201011,30.061096652894168,26.23121520011609,23.297137705329956,21.08105814843627,17.663319390793287,16.574723967216944,13.243971598193099,14.758381879750802,11.703810397345789,15.735530458645982,17.56427424241616,14.739639183403963,14.418751788737113,9.999018772066158,11.959275800664349,14.792705528348309,15.139194076517212,20.436568423892904,20.720058187727265,23.886396557838978,26.85781668074644,26.284470473433824,30.655230202493208,28.821337348935725,30.28461971397038,24.904005766942284,21.423208306619088,19.97686544879785,16.001606290670694,12.148491693937569,13.857047213108267,11.244274465545578,15.690124383727015,15.107954869302032,15.276293191789106,19.131191969868265,20.11303276543086,17.943697190550413,20.560589158540512,22.54557087043722,22.77512297461652,26.64749612106886,28.0736750123386,33.117621210049485,34.668741988272636,33.33687706723892,32.426407262994566,28.647323089886115,29.274826614099307,27.100677180513927,26.802992919123376,23.04293599356896,23.75706937590026,19.384688785091495,23.398600497813398,22.837341681827386,19.03495331610208,23.094272835358534,23.46031844761323,22.594551024370375,18.700996819512042,20.686226790548698,18.7737395997622,23.052159590577094,25.368917428167666,27.131401532780693,30.05763361546445,28.709649531236355,34.024300481231464,31.38915293664213,33.01695672272844,29.238152418567754,28.84057142166367,31.44993743114043,32.488323579698516,29.006189861647222,30.508405940427423,28.648221673479252,32.42594019267029,27.40005310793657,30.249138241409796,29.8848725840633,29.059206696240402,29.189531374719678,28.6289016036553,30.36343085910513,31.85574038692473,28.344328350357333,31.578964212395295,31.077575521974683,30.748192473185373,35.080194430117736,34.73257568765971,30.696426674568627,32.26324890271451,36.15859545350671,33.16732919876069,29.813875493140817,34.661068816887976,37.64941311383393,32.61205750958968,33.699206080250384,37.51625080079159,35.71000827713049,32.930868184452365,36.805630150933744,35.57073996642193,40.56268005805917,38.18887054140652,38.293302132370464,42.214981898732994,45.336682783198086,49.46058938377633,49.909802381320375,50.68811757972616,47.814039121087916,49.20764690516937,45.92037549185728,48.74844689357556,48.464813721416135,42.234401340191525,43.41330348054725,46.12329325448532,42.546661727354504,39.47703120869933,41.0081692734582,41.48031856481301,38.01379901755412,34.84511917543239,34.52933671432966,35.64477196366486,39.47598384231047,40.783167154558406,42.45217174300205,46.38915074373018,42.978832335946066,39.36707290559827,43.310827051742635,43.74895500841901,38.77813137168136,38.98333588019489,42.26570806724772,40.78101747767216,38.17020816261088,42.932430809804686,44.11901341484233,40.62107007033535,41.70555668506491,45.45471255047018,43.63756574524957,45.338184880061725,43.04315348214677,46.042888469256255,45.914006412260086,40.146503917197876,41.916049379416435,43.88212743359715,41.22666028011331,38.00656349127768,43.290169457260035,42.949763910054195,37.43323720343573,37.7663263304196,42.62689799981412,41.26956467620238,37.26182040905803,33.41415059334076,36.5020236323221,33.00342187574679,36.23397673325975,31.371522011280938,31.592669303106565,28.799358598500767,27.283253986987418,26.79617274003244,28.052315598560423,27.183635488530424,29.828844993594462,25.699012881505055,27.244926221488377,23.364214187957334,26.561594721220434,29.98589292268279,33.54607403849075,32.87296764671828,28.418683394879796,31.439795751332404,34.05854461010879,29.33286087929077,28.141106997654433,33.6162685635257,34.943469754240375,33.16628201166635,34.41280966143255,35.27458019126322],[26.180386128379734,23.85805536120783,23.138147894616004,16.59086942221181,15.875395915621144,17.107843552298405,15.089044446344284,18.870543633788824,17.280623180087755,14.750557805339344,17.555889985205756,21.3860506169156,17.827963361925192,15.273412576516552,20.0209826164983,20.996834870307108,17.205083779604376,20.30575601032891,20.333713920844968,22.952174455305922,25.250559915793637,28.715329370949167,28.492948378452617,27.10464806920684,24.352413609165765,20.918730833348647,19.902902681965713,17.20742233667732,19.98731210135163,21.792533023401692,25.283136815456853,26.221333860692635,30.197914257549666,32.37807589382831,29.486497455265553,26.30719390746945,26.363746140886654,24.280433036291306,23.320761696609548,29.04468794364991,24.42619832663646,25.372973616737703,29.636419367412316,28.385865417772514,29.92654422123773,29.390727030947204,33.52791838272979,32.39724320110568,28.781184278184952,33.31730531704048,35.93087287516762,36.21653585687033,37.76691034457501,32.580613260393015,37.40651066345293,38.750932079197746,34.33179561766552,35.30718947471431,39.514862302766886,37.82941833558989,34.80277712958765,36.79407639071724,35.802153949020905,36.522519906128814,33.41180106519588,30.66158460230586,27.782762408730147,25.951840329907494,22.981351967012596,22.482934609587826,20.998921138486704,23.71713267432919,25.95799908855296,28.0831495784857,28.216452850011457,34.301879061938024,32.51187164542448,36.22466151009823,34.74362457296245,35.16211963766994,34.129518761133696,33.03354415548811,32.412755185177865,32.2903999964183,28.6018263241903,27.651363506546357,28.619406478019634,30.989418742427464,29.511729401656773,33.95023492307732,31.33594513098707,34.435281921089604,31.967174246442877,31.024346433707453,26.653292286507163,28.031811221668743,24.019453699978815,27.066190899225678,25.698889611628413,29.342579498381614,28.234042004419017,28.772961982005107,28.091002908247557,27.47798339451551,28.97481169908327,25.652280637154625,29.350149300944516,28.217111248415414,25.72803132080927,25.68906293512269,21.59021229324744,18.89598609570065,16.167084232923234,13.263747035817591,12.317020761654966,9.684906390401453,12.268968418413058,10.781939111339964,15.570060146302938,15.848319008419091,12.84933028513358,11.263676039279584,6.647424480243019,7.313066214105864,9.55894433515862,10.683323807475118,15.571553201254195,16.549212934107963,19.973473313999463,23.29233947485724,23.200646034142654,27.647634839605708,26.439598603698514,27.405975997042322,22.411519795946372,18.469224884267007,17.252248115236814,13.405260851714228,9.88875886737435,11.977235720860833,11.70489817480442,16.575230546782652,15.053067189831166,14.045289893092528,17.93285691029187,17.800164991436734,15.122814666928182,16.808876504082328,18.36077359985889,17.954353845365436,21.678540733503457,22.87026739306082,27.948877936217812,29.337396551842883,28.221989874477995,27.47789943434224,23.876268565562633,24.52965549869757,22.82304560136689,22.592875541667695,19.62915066218525,20.90104247737358,17.217215141224656,21.6574179618532,21.699711556736805,18.732219267678314,22.29317949787101,23.524903314816342,22.066416265469446,18.004525285438742,19.219981289431892,16.950535144981913,21.026291523075404,22.883285750454824,24.356757749729205,26.76247392558099,25.288410344597953,30.73021019890469,28.707573832828757,30.166507259579067,27.000672446282774,25.704297672503106,29.039130260201105,30.617365423936825,27.30031856562128,29.314992387853504,27.64409452738427,31.925182045694253,27.684181156937747,30.253241250427997,29.990647717654703,28.463849957846246,28.395867711413516,27.340481779639696,28.727807506695132,30.061375649445612,26.11907757422182,28.91538257786624,28.069087864777476,27.12135582044358,31.41937501639764,30.563615209796595,26.516701392565412,28.464158042771153,32.069507311860086,28.717654099092456,25.849517554872463,30.683841883188375,33.1707069657845,28.125124101244253,29.545663030072664,33.21076957268396,31.069206409684416,28.665163117492344,32.77159152460828,31.790990305635123,36.62343767627059,35.03226004199717,34.74321126295759,38.47453221093402,41.83815102212003,45.76380663677451,46.47921185651843,46.99334898695573,44.159026216655484,45.53376905842862,42.14455880984045,45.33061060769342,45.173383032283084,38.86161758669362,40.14246110443404,43.289032713516875,39.76656623652693,36.62276364952528,38.470165421889426,39.30732887112785,35.697064916307106,32.59939016615389,31.600611146004777,32.409972274885405,36.12731461940972,36.98582243613049,38.45303715402241,42.13370668052224,38.614857645740045,35.1434049170835,38.87359427011766,39.049276263962724,34.06429585391323,34.384851051248994,37.42469712576982,35.777719960004255,33.3330719291841,38.20910910557462,39.19317502203199,35.647179122174606,37.03420283117959,40.83334121727296,39.23243394578853,40.96575700568381,38.715215704311966,41.9742408154558,41.87414675817497,36.109145913193544,38.11096262580191,40.310294508499865,37.65541759683196,34.60947985338482,40.168784425954286,40.0066697099978,34.489617058168406,35.055753740620425,40.139918388032626,38.907449037601346,34.91647296419486,30.87318301939994,34.54360871953227,31.003179694703682,33.66323974463416,28.549468114027196,28.223984364640305,24.94353800495768,24.137345021493253,23.826693852284077,25.68665357486149,24.681761608567477,26.75099417945919,22.099674859446974,23.634100378581575,19.259104703712705,22.036597904602736,25.25917694875752,28.738110978481927,27.81771613707431,23.37821466563832,26.48085219262868,28.86110421509821,23.990679615161127,22.998818694095917,28.49343815896261,29.624168743455954,27.770888593650913,29.0013273189735,29.869821342007516],[28.355945876143394,25.456702296925943,23.94556592168599,17.919825697125418,15.6304924378563,19.062192392886164,17.161794466994625,20.955444249499937,20.73020431765921,18.356660635676235,21.566841483294855,24.86254414131069,20.533605508095288,19.20528936627379,23.52423851171856,23.651137267215745,19.405149665529773,22.231710855145582,21.772937285307897,23.400335232310194,25.459082746369287,28.103124892782954,27.922376654315865,26.00427461829214,23.167520824375934,20.64706913333565,19.253459868918704,17.47602280412105,20.937108935617793,23.041353209909477,27.667868857042677,28.021590136245372,32.3614021087191,34.196335118651426,30.713206842294028,27.298381275463537,26.832624407300525,23.88412114719244,22.05150900731693,26.873296927712556,22.057960266976593,24.2203955271628,28.07194072899243,26.005550378964415,27.484577420587797,26.286237174352735,30.41904319629868,29.53338921880468,25.230259566606613,29.361717899663724,32.39939675287048,32.527021728556306,34.60226760702747,29.701833583806838,34.792394432787844,36.40766407638541,32.249477763542885,33.9552934550193,37.99034789237177,35.84104589248784,33.60651879010811,36.36272099177302,35.93139279044551,36.746843881037044,33.17479855679346,30.667553707085673,28.77670118710269,27.471280272641575,25.220389616773566,25.535721948164902,24.322156880867286,27.395044867158504,29.199338843029985,30.47739478448041,30.45765976933141,36.21999025308498,33.57605295845626,37.42205721318769,35.27491300492005,34.89873142153361,33.72539491679277,31.738097812757683,31.320311472877126,30.266302571338205,26.406824765083314,26.526536997223502,27.943938474491198,30.945656101005664,29.971286501712935,35.077972852550246,33.061277958542576,36.66997736957056,34.61151695924617,33.80355607214639,29.669810279378037,31.688366591324908,27.90937701472573,30.01240350224032,28.548673319986868,31.972637071196196,29.967564371920453,29.822220774025958,28.469204489674187,27.247481052622426,27.39221062174626,24.188361583371968,27.44176263006602,25.584800250912597,23.541389576522626,24.328845674413817,20.80149509708713,18.077088035305056,16.88122120952385,13.30637567991396,14.104230023018479,10.809424652692087,13.465822755276749,11.058722855955171,16.783116879791564,17.92492554250502,15.81633010880658,14.780262479115429,10.100697251403345,10.3375092596142,12.201878834205898,10.293712901128192,15.55778506745393,14.921787515919485,17.700718099087037,20.633016755557108,19.580491005339862,23.942535069243476,22.125438349716795,23.921884677362016,18.36040834339415,15.14799341525455,13.229304020493009,9.492499710876634,6.008800738688976,8.8540687001374,8.136737442466126,13.406151339272386,13.433995307744018,12.300977969392973,16.15659330387203,17.268857706006084,14.68852605086218,17.236718316462042,18.46033075498192,19.279019334174823,22.575917442963625,25.012914656744538,29.645401517635662,32.044103223251135,31.0952015123544,29.575829037509035,25.856700971936203,25.527019644272585,23.80230156904456,22.210149010695552,18.13357963577455,19.934699218679064,14.909229776062183,19.142018916991162,17.74600642233726,13.725864403723287,17.145881823478256,17.72894002541709,16.25815241077239,12.33866112845819,14.168568586649265,12.674842943287901,17.434506574250587,20.112761064251007,22.432156218217592,25.411733644541513,24.956619472039378,29.89521528178194,27.05823520780436,28.142759775781915,24.042955834664653,23.22954774714488,25.47571661644418,26.48337993976021,23.16891332881102,25.5189230972514,24.427936568424986,28.116740004724843,23.582988103554342,25.549964038173748,24.795116459289833,23.52810962590249,23.08868895721908,22.161589192074533,23.690591536364174,25.05243773235179,21.4885080557595,24.750211935317797,24.434417404996395,24.263761843762996,28.69304942948707,28.634444238158167,24.694304543106995,26.269820442473065,30.307032065334603,27.74654898536739,24.524360270157484,29.308674121595374,32.50670439327103,28.04045809319649,29.201833580338906,33.041693035951205,31.665195750131605,29.305849695367094,33.00111539100801,31.3909484839781,36.230535064515095,33.480023285655086,33.210718787521614,37.13950535068631,39.83683905427972,44.15417847457041,44.16619647998448,44.7293924970205,41.659669486664406,42.8658218667368,39.51345159038987,42.15084896085624,41.98705200630244,35.795068313362904,36.76866742787108,39.44372672359249,36.00441200030303,32.822738216957596,34.219187296825176,34.89211501442722,31.54712375047698,28.085292457116722,27.95084478347472,28.93203141067188,32.79274148109178,34.35377665808853,36.09072828128722,40.22180737730476,36.936554262491256,33.20986827151161,37.40761891069565,38.10155548582735,33.19788146676717,33.4044476463222,37.043012762178435,35.89313988207307,33.25018277110606,37.850231437416184,39.42159168458,36.363692926551366,37.107725196241404,40.65440062513557,38.56466694885149,39.88094889310331,37.30932469379108,40.07875615428157,40.28997900546984,34.57169145899474,35.867087036871666,37.97820456991159,35.56388936287861,31.988758940521347,37.11708545281277,37.1729127593658,31.72486368758012,31.599524770549447,36.57025876702548,35.64480305211101,31.71934513434928,28.186507131910215,31.54935968187191,28.560020957235064,31.79032270749332,27.157038621394573,26.814701005093653,24.527265261248058,23.38230116500764,22.191158125156008,23.247545614217252,21.717567533714256,24.00651215848783,19.845076730917345,20.923175765231544,17.43398429971732,21.310965271517826,24.570463217877705,28.25326820578088,27.988677259675843,23.68096622218705,26.863005938571682,29.831311878522527,25.536047426035182,24.49830158570615,30.006629716541383,31.65037314254273,30.14158813625035,31.301627677635405,32.16710706210338],[32.33084469000085,29.50860987960737,28.12699933976215,21.973354121554685,19.91379062767302,23.276773019892442,21.25565700206677,24.912118564649134,24.347607234323746,21.498830327746152,24.379760914305876,27.88768229258871,23.259594112013403,21.546091471549133,25.51313897135537,25.710141124361346,21.120603246870942,23.17352194135591,21.664194158614023,23.50697559952039,24.834623667951398,27.368049363016194,26.64424333014059,24.325913831252386,22.012740559612496,19.765890131590474,19.181439275480155,18.200464270267034,22.164234193180683,24.938913804938956,29.0916623383385,30.137870568842178,34.3565813879888,35.68290797185447,32.25427435694981,28.481116567189858,28.594005982054032,24.824443810735414,22.858932648934545,27.409318481921574,21.921281380709267,23.985463403055533,27.667650215630804,25.24363818595189,26.05465512457121,24.484685622434004,28.648431956390485,28.42447353747843,24.162092176596445,28.026443774626255,31.518096949670927,32.025708396263994,34.257382555211706,29.72598017465729,35.11512059782995,36.17994714519747,31.93665207303291,34.10544855028747,37.876469896753534,35.20173494493874,32.95153519165626,35.92016094454781,35.869165952853926,36.10061805923928,32.40084924786767,30.46445016637504,28.30787421546535,27.646690002369198,25.08395223656194,26.045131273244838,24.44863211435442,27.218235644528736,29.368589558755936,30.193805866451395,30.837615587150836,36.39191871863632,33.824331437717674,37.97388726249335,35.8745408864784,35.32167288198669,34.71989679054089,32.66264307506237,32.93611325705375,31.70355401613641,27.604354584383568,27.91750780740717,28.772322091087155,32.32767702180143,30.746107642741006,36.15221537237966,33.95017844409626,37.36878681093396,35.65376306726473,35.29918441166574,31.41403546593928,33.44484584421353,29.88966079147099,32.34320853413079,31.296227268689464,35.141424080793776,32.750290442011504,33.1147487546043,31.27247172516402,30.529960097511932,30.362871542912448,27.586131318819838,30.893018425896642,28.993125358358146,27.31146672494956,28.147319638449556,24.85688622544851,21.819672468211664,20.745085474113818,16.862028329455324,16.976687339104977,13.260298178925577,14.874165052150525,11.34221545039712,16.244414775183884,18.523058210780796,16.52175676112397,16.393590057507435,11.889365446492487,13.27309987830613,15.864504593312297,14.258320897044936,19.77883717187396,18.864986353821248,21.509633737202,23.984590516460017,22.874342477151064,27.027449864389546,24.68082142873823,26.65326697571454,21.005290270793573,18.16721885821489,16.54471192372005,12.70821394305331,9.16006258441652,10.854473495211181,7.608316897008861,12.225258719743433,13.013051850663786,13.064053867503567,16.77360749725321,18.71356778143441,16.670459440024295,19.885061161446163,21.622878128589655,22.800095617658595,26.369857416984207,28.762285512082176,33.44386668180244,35.87154643675161,34.611479946944456,33.024426519167925,29.138349357936775,28.994930038402142,26.78139519769604,25.475360032699335,20.91196058465283,21.94668644858718,16.656522357407376,20.378120805910335,18.735717869655563,14.207404841126829,18.193656610794818,18.05893717910433,17.40490879983519,13.712019179166818,16.12545170305872,14.767708911681737,19.321323922712136,22.189639008385015,24.541954255224837,27.883059115593046,27.328593449441904,32.196491079221445,28.940001735772533,30.275071698025446,25.82661702819107,25.887282622299324,27.62763784600991,28.2059088135049,24.75071008798071,26.40144242156011,24.99026671424219,28.27160043987351,23.05637371505705,25.442615846931798,24.741503903097176,24.151165202185727,24.105526935839134,23.74536890514536,25.64023744290579,27.249031273489912,24.184418559845138,27.7430151869149,27.784751595621913,27.952632830920578,32.40729057347369,32.60040065270153,28.72478811875493,30.156636789994664,34.3025111399686,31.92737695473128,28.533567730588846,33.287418405179714,36.68607823786873,32.22285112102269,33.2308091321079,37.12463423219019,35.85611213185676,33.301969604074145,36.899962094589675,35.20133955544233,40.11814862124954,36.96659853908022,36.93768680089569,40.95089407031179,43.49667609278989,47.89509136760937,47.75274647900226,48.444987199700115,45.33859566036879,46.50273749221385,43.18421140904092,45.567177235422946,45.38892268321288,39.29597656416785,40.12240686091391,42.509782443164276,39.11357926097449,35.97050677436755,37.06370503672892,37.55861306589076,34.3930789099546,30.808791602314876,31.230852490518373,32.26091006854983,36.163375788323336,38.04506025791477,39.80899268913304,44.08349160178088,40.79996439720162,37.09682026074725,41.444787093354314,42.201136395693105,37.32630869836196,37.5723337751324,41.29180726725951,40.19159178910241,37.53780916905845,42.09325576316693,43.72213415217866,40.67083220891211,41.33609472052244,44.86170677187931,42.693552889667174,43.978977693472004,41.37108612973665,43.99344755341306,44.230512852061345,38.54144008710812,39.67259160427189,41.666100520782294,39.282316327872465,35.609978685501005,40.51495887021294,40.494480186972496,35.093612022810575,34.77896233018609,39.56643155193981,38.59252802226546,34.69432441729456,31.33468960035915,34.265835256285186,31.323504288636666,34.91170466603494,30.451522399322844,30.470873784003057,28.41457032476588,26.861840660632293,25.642908295466288,26.320775304897214,24.917407283008703,27.538467550207027,23.72743317771326,24.733857555046526,21.53430966426195,25.554744689021543,28.78248103025416,32.49677568441074,32.21891660088597,27.982533910049813,31.186211248141415,34.15659882059321,29.79677516630528,28.77928543032237,34.28782911780972,35.914759565711805,34.34584853346798,35.47399155291773,36.28907006809245],[33.86085070854025,31.297457445066843,30.12502518331953,23.84072179730454,21.955187653186897,24.134296004989988,21.53708635064382,24.737849481078573,23.4712462644367,19.948007917982387,22.295101152668497,26.004088412308075,21.237673265513436,19.009137920822937,22.558228398264085,22.978996391464644,18.278257018436477,19.774835670765096,17.777412794987864,20.17887773174651,21.26397288020011,24.226463645499912,23.29097652842267,21.19570104741666,19.057777167319365,16.30954529241457,16.345271496839565,15.35769678374355,19.353861681972084,22.526129591713758,25.860167823904764,27.666189409330432,31.624905596255566,32.65487445799393,29.514732603550875,25.588251871492552,26.387819625376526,22.469800332066416,20.953655481984203,25.972662777515172,20.27698411566576,21.405217692215217,25.296456098630873,23.330042765891065,23.98637630943061,22.93595406862663,27.11274995904917,26.810659862460497,23.203602135531092,27.411248460418108,30.603701785684972,31.3511494000402,33.16104537147203,28.555556629078254,33.88727471458937,34.46268282108225,29.979050237116816,31.8699723803078,35.621577837994835,33.02556254940397,30.22964944867821,32.81943357274912,32.638577880622094,32.55495986911684,29.045231001316452,27.21636053377983,24.44626307527551,23.892144960969112,20.923321733389717,22.042720753383225,20.199629758273026,22.7884395740136,25.128323833526323,25.928235699143755,26.947371273843732,32.49121041185474,30.30066910198075,34.56635303984138,32.80329206476097,32.56573486942302,32.40278669736446,30.858236541724263,31.48632808376431,30.76533914652545,26.620234942642856,26.322609247276755,26.50798475855744,30.082529873104683,27.82048056093869,33.107178195137465,30.54213045124986,33.65370194786583,32.03762287023191,31.971806271653705,28.25450504322881,30.157195242661203,26.812131383101672,29.71624995023481,29.131962687560048,33.47849344988715,30.932023104458647,32.14532978159207,30.059127231425848,30.18003463512997,30.513681354118642,28.158007864475238,31.9175676255359,30.593000038669754,29.114574554760686,29.301384186584624,26.0355156370906,22.408707186816713,20.81368527434734,16.77764805693063,15.51669440663769,11.702294651951629,12.2344957894068,8.255201576348394,12.194164946561907,14.882058233717725,12.809576625227578,13.380802305179234,9.46220226034693,11.987273208042168,15.43537358557435,14.960789995566625,20.88964209803221,20.272649092250937,23.302387152055587,25.415964110808595,25.294585694491445,29.316101746616713,26.90768942815721,28.134793824180726,22.893023866574843,19.632718143335808,19.227016941157544,14.699121040085329,10.74834890843335,11.135093916313725,7.142463171323473,10.928294936416782,10.633047351191928,11.477297323204507,15.099046555739385,16.820096491539527,15.181655897039839,18.570148492759206,20.987564361600253,22.120342855823218,26.204428932644067,28.11825747842922,32.950745741445914,35.18498594596234,33.38497606999269,31.886625360385075,27.853517897113825,28.29891509268783,25.513172458425313,25.190980622583226,20.749710273163622,20.750541586612595,16.14465392012299,19.658836826979424,19.138292056705577,15.541425075755463,20.006252245942342,20.479246987982286,20.41973428160868,16.49725577740272,18.458743484591146,16.211781901665965,19.994019415771053,22.318926504144763,24.060991359694825,27.34317734371804,26.075949283542755,31.168466504684986,28.080635303934123,29.90826931259172,25.892408881930148,26.350610224701075,28.587696492237146,29.376648758584643,25.772325623179302,26.59493120229013,24.433110082485655,28.063958209237473,22.8658719562517,26.070511063045757,26.024253297463293,25.435713254169645,26.166565940656316,26.103690563470632,28.222352299310245,30.232619138494165,27.256114192461073,30.738399921902438,30.943903047149472,30.548250276435567,35.22921315209385,34.930908545991116,31.073283217415288,33.082784250836866,37.01255228850034,34.28339909710539,31.41761091135684,36.21781384502675,39.11573948295139,34.59361909120777,35.93984967644184,39.7158325792801,37.99377587310011,35.69807145965526,39.581349270469524,38.17765307324499,43.035846450021765,40.50753663695571,40.25324229409825,44.147184927285274,46.90148155575865,51.14331843980708,51.195314896384886,51.632194800842214,48.46826224972101,49.4815369055416,45.92223076328813,48.50877959144507,48.62141243230787,42.459959864658444,43.1192080144315,45.85115205310522,42.636710323881836,39.31043949319771,40.36103898966092,41.307274676297,38.18225680824549,34.2854730289126,34.573708158881544,34.981402604808856,38.87269370531576,40.644276529577155,42.00681540355081,46.17254036414017,42.5312816442712,39.174544798051144,43.58457405204085,43.88501544291321,38.971363423454015,39.653461256342304,43.11667670006177,41.777132149979806,39.464473346091594,44.218959141736136,45.56199731660639,42.40757909224505,43.554078348100916,47.1746082574364,45.261970829385156,46.549054476755586,43.88222097896095,46.75854650437333,47.15298066593012,41.43534718870187,42.66953850123395,44.94621719080579,42.59076186035743,38.95726778147946,44.04546732136219,44.22938942105769,38.80436883306323,38.53153960756203,43.49334477084421,42.637781175286605,38.733044468191785,35.243035068774034,38.45286306764808,35.3923853793128,38.727194492821525,34.03651833222264,33.81880453260864,31.278615760885945,30.119164236329578,29.153592598917548,30.21751459491683,28.772337744365466,31.070683658236646,26.77354240299896,27.54521953002103,23.825938536144903,27.719598524947777,30.444803851712056,34.199741210126284,33.30754138035897,29.298968053479253,32.86922570159799,35.36604205964192,30.488315547709686,30.056916185979663,35.62609011980892,36.74303056003792,34.81485939519088,35.71978516073984,36.34401953717485],[31.720370298607303,29.23054410434465,28.00555065364233,21.924255634021353,19.838529049923196,21.325419864451142,18.373315146910038,21.268900436915697,19.91157378036342,16.226892843741243,18.55587024397504,22.191121224259863,17.405027626082347,15.28389022226734,18.89583859078506,19.28802155701663,14.670684693553246,16.612564809801192,15.407596611020619,17.809264995210434,19.554684145457404,22.79715211043117,22.345425673540845,20.76507689047655,18.135069370991555,14.899906687705268,14.318626280020046,12.50571349726983,16.15409070865466,19.02464298462831,22.47661087388048,24.056132773480538,28.046469957238465,29.341953806483716,26.229939157553275,22.48821356213686,23.121419420425305,19.77377817529862,18.578865671195597,24.097664564180544,18.901158376468757,19.69136859872918,23.850036172327975,22.42860998022118,23.681015886686154,23.214215549613375,27.345569244075953,26.366105499428038,23.010515941831667,27.612255788241733,30.244072514652707,30.76611097857144,32.23788271242876,27.26942575796786,32.317703127329345,33.1584941317379,28.63165323678794,29.984614776211355,33.98824844423427,31.91051543928575,28.903863645484893,31.1505940691475,30.56723107242259,30.928877506733564,27.591112055786116,25.236800124344843,22.508390701761805,21.359805699908485,18.578602917549112,19.1840949649012,17.654191871915394,20.59856031141403,22.583581546799568,23.750645406317926,24.24031853715671,30.001106206385106,27.8248033193127,31.888307843508166,30.188295185552608,30.223378053503634,29.749509336227877,28.48745093807002,28.72345539652505,28.394002247687578,24.40634108358936,23.640570116659905,23.98538857812763,27.130386340627602,25.074641446120307,30.108290403463513,27.557668655091785,30.772223639888903,28.907848653502928,28.584871211573084,24.719384893624365,26.648455315344513,23.21341487102241,25.97747810554789,25.306409012036962,29.635067292386438,27.18093743591855,28.468577703053334,26.54141025157862,26.80088926887916,27.592078231604653,25.226702549900043,29.19948083411311,28.2539304729191,26.730410244251047,26.489320846526677,23.183180806187433,19.365981684805043,17.455558402958477,13.477744435084414,11.761875646952396,8.034420736369183,8.731670233326177,5.374894340266549,10.148054053268748,11.830119119715684,9.612515828589553,9.749478154602857,5.838439598631145,8.428668463943817,12.095380141540115,12.099618655820418,18.07230639522542,17.711589699782618,20.985097823968918,23.0582674683259,23.606133604577604,27.59965547953725,25.499233844023973,26.152130193568176,21.27162803841101,17.584392887204906,17.852455420522737,13.059575650888167,9.107452831248473,9.095702271925044,6.795393517714931,10.77640280806799,9.143826521772441,9.198754806936575,12.962889260932176,13.841062081666736,11.964270172455905,15.02865421364014,17.528545615499393,18.483920040856127,22.698678784733712,24.44542603460737,29.295137480889935,31.52013553209082,29.5927147264427,28.095945765806484,24.060425673149417,24.658679020851025,21.849963602024033,21.863644181311624,17.802492929929368,17.74784869487783,13.72617413290126,17.535920571623116,17.833693542103028,15.146352112229978,19.428244610924292,20.731129793621648,20.443688830322614,16.298196756314518,17.604422039181372,14.769706492333363,18.170601953484038,20.025002811320597,21.393984599372256,24.38597514399716,22.811063541300452,28.08933188803566,25.389568172178162,27.289795613056523,23.770119126310895,23.827345761961503,26.686949123087203,27.89804770438633,24.329776668691334,25.238863960443197,22.96116756354122,27.115326894332743,22.507769039135496,25.742518620517753,25.980149972234177,24.855756007747445,25.708257909571067,25.415430966530554,27.402856017158168,29.482388514245322,26.295782926134613,29.517848829456863,29.651374283360322,28.708442581740215,33.48725920852515,32.75070830362412,28.93142478874388,31.399350864547838,35.09234854021438,32.109632322209904,29.773376208591955,34.54628972726619,36.98680240584875,32.564363255861814,34.22973186293487,37.85806343103933,35.84712717513947,33.938307552698845,38.00473298727487,36.80349953462986,41.50867907758992,39.58780573311709,38.98773428768519,42.721060701539585,45.61471560671069,49.708999593421936,49.918652936391055,50.072691030673056,46.87870365939895,47.78687033163562,44.059891259410655,46.89517458117195,47.21965276106764,40.998710313996746,41.60508553317083,44.71185771067793,41.62575852736735,38.16767654851675,39.34609728612496,40.70615160669414,37.54042123805466,33.50813286502663,33.40976608679892,33.35429503122011,37.183641357998,38.709756004027966,39.78853933876767,43.79817653810581,39.953680205008396,36.82178677372278,41.18866955991083,41.17889306222004,36.260014079363906,37.215910340995315,40.48416292041917,39.01148698543678,36.954714797207735,41.8106722177398,42.9771949838008,39.84191807261191,41.30227373548221,44.94212188481268,43.21790095079643,44.45450421012043,41.744635061340986,44.824915286624346,45.35834548131614,39.65638442895817,40.97250471046918,43.51209335716804,41.212501608601734,37.63857524363395,42.91227341327258,43.33360938649057,37.918334224869284,37.712872193037015,42.87384539441577,42.18922547461741,38.3083492573345,34.719606416176795,38.365007897732305,35.30703035089534,38.25179873156182,33.39190311689953,32.73269066975212,29.852939690146073,29.257192005455778,28.377332939291303,29.846579827147362,28.230715541318396,30.04991218448994,25.305569384384317,25.863703554753627,21.755455450846124,25.49563123564759,27.803166891483105,31.546764474596735,30.298753376454766,26.47518004258701,30.28556194111282,32.47186900482475,27.372889402629202,27.395671852202785,32.9531040218445,33.76912085116259,31.695108998146488,32.443508052536295,32.96216566574658],[31.947513572770205,29.750592206915154,28.936167775749063,22.62383239557405,21.323652513358336,22.021369277984725,19.15104093445162,22.013997402561422,19.925803967910745,16.132257122771076,18.03305566623063,21.993207256622192,17.660949433676397,14.679342123672722,18.33681382727371,19.299047378860497,14.939046157391621,16.69475794099073,15.370495432592998,18.52963039498237,20.109862385797726,23.78492762394066,23.10219515656439,21.713222941008564,19.40349485322377,15.767401549074826,15.77185082350995,13.731042782750997,17.007316114638893,19.853787934996287,22.377623901313324,24.54628682224539,28.240262619128487,29.566258877157413,26.856326669179154,23.181765913446352,24.291783196228952,21.25459653487419,20.524565561821447,26.310086432754815,21.123865739913896,21.24244264712413,25.50140515475134,24.417964418572765,25.458433987358745,25.191933783984435,29.287513968729076,28.427057602268846,25.418339029297417,30.044661532490633,32.61730242502404,33.29743698108936,34.58877005278796,29.629619402848412,34.59666825195578,35.15520734403137,30.539192489830615,31.619082914856477,35.57081737686335,33.60087008693846,30.17353986701266,32.035054084750726,31.256273262658226,31.33883213430854,28.2715573526793,26.007997692192546,22.564994619755762,21.342033455083467,17.90917592109324,18.236676512006806,16.29584849360574,18.828979687390742,21.335725076962607,22.898218729490278,23.79232135499637,29.65867814792284,28.079534072427457,32.14844982059388,30.88107626965077,31.32597308811277,31.109507991052006,30.31361463879301,30.605956689316645,30.68606368346006,26.777316628560442,25.55833601351457,25.51642637089429,28.427110467743123,25.918155036043473,30.604310364420936,27.638541318614806,30.437083036923568,28.449582876136407,28.21707207253326,24.318594949518747,25.82641959758102,22.35116589136272,25.824941219973798,25.352801419977013,29.874717835116805,27.858992228626892,29.599598052567764,27.953849150036078,28.566385932416022,29.91160139750382,27.51798641876405,31.619045887485225,30.89688448451885,29.169638577914057,28.68483085364671,25.143002560665177,21.435570333844957,18.92002161005691,15.330676609782687,12.781443797271304,9.552384266827548,9.80058822522762,7.039886068146598,10.153662636539801,11.711964143207146,8.867337614285494,9.178918560540314,5.773746567302633,9.025504192182161,12.811371216233146,14.064480395074915,19.727319218675692,20.002194068970578,23.45461105219211,25.740514221489413,26.456929100077215,30.5247187139845,28.62044888142157,29.104225933618668,24.357727391897974,20.496819827076223,20.71037799981939,16.02234521526167,12.0973295989961,12.224011335990635,9.990072665955259,13.428751839607578,11.36903507161674,11.7884828766616,15.305028323806889,15.700368060502432,13.969741374738168,16.5989266267565,19.25737289976939,19.639951630622743,24.007341859996984,25.107891127072737,30.139361951159035,31.80558534170628,29.76850710119068,28.70251661029616,24.74797832622847,25.878894517105213,23.045359783984168,23.746752899545015,20.185644749162876,19.8239258423633,16.455074283921597,20.17812941557107,20.93185384049681,18.44822876465777,22.753073170381402,24.04373944708623,23.72687280560711,19.577099979709338,20.872934386537775,17.985016685056856,21.220742414423988,22.811903483736714,23.84126572123043,26.590740819802896,24.54466017808653,29.987447222914994,27.629072009964247,29.70959273954049,26.55454363246641,26.497887497687245,29.673932081999848,31.02243354395778,27.464721018024374,28.195168515164475,25.67051000079827,29.91931415764017,25.338690763515576,28.820355353705246,29.178654037485135,28.104738642539765,29.03664423689765,28.72035356920074,30.66263048506159,32.67271805882937,29.338638764268076,32.45237089274276,32.33909395382534,31.247594239389283,35.9267991740437,34.973914550030855,31.093786297426746,33.55510604087298,37.134215550303985,33.872069026205516,31.50523208734197,36.307274812288725,38.57166203306455,33.850378759373804,35.51517804745574,39.10161209134159,36.82753395257339,34.76761232194191,38.94823020557517,37.9810690504078,42.72893116805415,41.13954862272372,40.6657049710349,44.36262093561398,47.53221685699636,51.49676838180247,51.988278148575944,52.22225769580204,49.15885945221436,50.190793719281444,46.50659131581608,49.52364690622045,49.77259290371237,43.50571264420902,44.2881818880029,47.49117346421135,44.30457571348301,40.90841010917238,42.26976903871305,43.54632682780655,40.24605517992987,36.439622436419356,36.06380960172459,36.12207147472067,39.911892386079735,41.18293200693803,42.2328624316126,46.06868275921385,42.18304449492787,39.104415180377046,43.25032522889846,43.08616302930472,38.14370010944102,39.06182270900249,42.09167124853849,40.41958015027283,38.38747149938607,43.32956907015353,44.25756342960234,40.882091924704454,42.55353927114621,46.302681899438184,44.75927960838346,46.218788206958926,43.68655411892418,46.93251466446244,47.25996199399714,41.532698656703786,43.163185233108265,45.64741365038327,43.20659442966081,39.86278913244441,45.2862815237449,45.50782159148593,40.040829837344255,40.1453010028454,45.29814137397502,44.39847998147162,40.458349147479474,36.65077774634888,40.27845875984902,36.95224675183408,39.78461843477314,34.76402553505984,34.283914746350476,31.083422115955777,30.42968790447305,29.914664409524878,31.589286312098896,30.274709816075777,32.1926222464673,27.39601244426946,28.255116474290663,23.90284689609211,27.19231740209005,29.615624851619,33.24582963167988,31.7971005549819,27.887137539768478,31.55386958692914,33.53180226770225,28.247661572113763,28.173240805490337,33.67215291055435,34.29700285668786,32.08774435425489,32.88852421673202,33.42742623529999],[31.63849499710566,29.696574200222596,29.16290516303385,22.85942223420844,22.129216904351374,22.018621346039613,19.19246097033276,21.835008713316846,19.198555625583932,15.395618269237692,16.845277740334208,20.943016391705296,17.11291432679002,13.545902037432967,17.139919748521677,18.560995631214602,14.602957175951946,16.347674272798635,15.37426550103679,19.007917238734496,20.702826953010394,24.71656872436707,24.086133971429625,23.07133377473329,20.847624640364074,16.883728087359987,17.04248981879719,14.603346826724172,17.264421245549276,19.857541343990327,21.6261549148669,24.1286512264397,27.547122328372886,29.0103292961538,26.661508331496552,23.188144464027406,24.561048331816366,22.07176788357039,21.813495456312506,27.838553579276525,22.950919493298958,22.515842225661853,26.85311049347355,26.205577400503707,27.337605713645157,27.401174754634926,31.434857005230448,30.386308921271404,27.66342859074218,32.44237017183371,34.78446455274495,35.36990525458428,36.422411154992574,31.372530290076416,36.14328355009694,36.64715077014868,32.00739909309425,32.70177192844025,36.667283387597955,34.953095360386435,31.228259023227576,32.66233654942802,31.5837702586922,31.643656147049363,28.88968197973485,26.510675552942747,22.609380306859194,21.080946075056996,17.283584671243382,17.092945801601278,14.996810979532482,17.290201830911982,20.03016263491099,22.0882389564908,23.05264435421598,29.036224813628785,27.949027291501856,31.88454728298188,30.989078420439153,31.846445971454514,31.681129275178105,31.34185210382973,31.502399610330915,32.007231988129405,28.27431183715983,26.587748600881064,26.350198428007158,28.862670296036608,26.150776575264718,30.39465738526708,27.143995378359097,29.624668348239123,27.438174033837033,27.158002116064992,23.207267874451777,24.34782341153232,20.83717512566901,24.798438261012077,24.449008588790882,29.046576944507702,27.46057459693032,29.537215123464648,28.210144077636496,29.102886673120054,31.002808915706222,28.593134436656815,32.78731016498841,32.35187560470535,30.463900625641358,29.683235936947874,26.011318921115162,22.4348302295689,19.438107579247507,16.31433993224325,13.148415222762244,10.669042977782611,10.627115348915904,8.964051893920251,10.747490333535545,11.513674945051596,8.222381225042662,8.52723633170933,6.523695363761653,9.578265192581615,13.097126255878948,15.321796251629697,20.5098213634597,21.321414675190322,24.892602401087633,27.296795838243177,28.294691270539307,32.360643250440866,30.733747510464763,30.93324847331056,26.451340442390553,22.45521434884226,22.76168574040035,18.21749185890815,14.477960321150116,14.62613965041341,12.994131066089762,16.132070843703392,13.57692408719755,13.902598659271044,17.125416635706237,16.863789167705935,15.219651899929952,17.25688522868215,19.952870527738302,19.812031408307206,24.21277471280615,24.729167535182246,29.832573033871935,31.005332548272825,28.887476150452247,28.191049517842128,24.37269507567291,25.945117050130275,23.164479407140846,24.47695771429337,21.51819423525085,20.95761551008579,18.34128585941538,22.00999219015812,23.284458102204493,21.20835244583907,25.378241763567843,26.874957370214492,26.440385344283474,22.288883203259093,23.376498354012995,20.37271686942877,23.34598035344459,24.582751783661134,25.244838542147843,27.668539800919987,25.218441479533077,30.765397909242783,28.831621460121763,31.026867266111328,28.326553176390572,28.027894990728882,31.585577377793985,33.15263793833988,29.65526186611966,30.3345194255747,27.657121770939998,32.14785735403455,27.803229447860875,31.372498621839505,31.873122678521113,30.63004211415455,31.610011288036155,31.192864476700066,33.023360203142666,34.972364987743966,31.49415053942289,34.40357616233769,34.07269724969042,32.72776609454877,37.31131225041892,36.07664620104044,32.204340156776894,34.76144706688964,38.14853207133966,34.632774229009776,32.427103707261416,37.18877226271419,39.16423733610379,34.29163358993062,36.03293079760928,39.51020937249792,36.96989110835995,34.927279219967986,39.21770284154859,38.50415422972762,43.18739783281953,42.05180859856383,41.5698140501471,45.16576791991722,48.56135236333677,52.43195281983167,53.14364759927036,53.34412407856562,50.38040318854959,51.48170894875681,47.79690971078663,51.01381456876679,51.26231200043053,44.97192442535511,45.87409727692579,49.24139373655616,46.02768846331718,42.66297347819574,44.19442307110378,45.51072587234215,42.117534700620276,38.47762500776167,37.77549656094897,37.80323865096905,41.50612005785196,42.5023556234281,43.44665292261372,47.0804775577077,43.13624304046847,40.17899057956113,44.106141115814815,43.739428083746226,38.80947913484651,39.765179307553396,42.53236452579471,40.68005709338752,38.756203984776214,43.75622232583951,44.44350147938415,40.91375062173029,42.8274128702506,46.6432468484434,45.300705226709944,46.90834163312755,44.515509240624105,47.92981951833505,48.134552476965695,42.42901750437115,44.314174335922175,46.818675775179834,44.30200704238885,41.17134304142037,46.72900563446161,46.87432304274067,41.3973847027164,41.75057174046917,46.93190753726061,45.91791372141454,41.96856007796085,38.001134033705256,41.716915878886994,38.22334711177579,40.832265839969146,35.68311054643528,35.20901540969115,31.711896391969706,31.191131773544274,30.96855713834653,32.88791457228786,31.765050205824416,33.594777608988664,28.697668856780588,29.70713864789936,25.14893637078212,27.97450860176111,30.335176330284664,33.83027433466566,32.14161048035553,28.27907709557019,31.847364404578467,33.551407595044765,28.136154602895957,28.13510233431111,33.49353059909154,33.88387438324567,31.61278923738856,32.39422007140184,32.874248061923694]],"stdvs":[[0.5330537707642934,0.5630540138821253,0.8952642250217206,0.45062602130710283,0.5259512228254242,0.4973915557408449,0.43086924203639226,0.4777347797259242,0.466152181244146,0.47325564798162123,0.4900176442621633,0.5367547572970537,0.5544454644644609,0.4830913301325163,0.528327239520799,0.5406123669530504,0.5652013292740058,0.5557480833177746,0.6515350195391295,0.5165597346980041,0.5622953957040125,0.7659725840142256,1.061603469132106,1.247234933228157,1.1764764738193938,0.5642178679561967,0.5560844637803288,0.5450800144178157,0.5899534858455351,0.5235886119664216,0.5793915539445401,0.5264907197031591,0.5489352799688916,0.5919529569654384,0.5614138009542201,0.5612783495020152,0.5781169857894362,0.6838882206360377,0.5443175073922405,0.6253745635418682,0.782639210766736,0.7160533927039324,0.7617358231640863,1.0771384082471798,1.2363030732425562,1.6904759156137485,1.6727971695304027,0.9476611414461705,1.0083469857024432,1.5967146732970798,1.021737925177688,1.4422098075087983,0.9666044124443144,1.4274258672651126,2.4142506736842417,1.6161349431750276,1.5054419454884551,1.1814504727047752,1.2167591546800587,2.2938940165030295,1.0681123208649816,1.0107880488832113,1.1014421121419349,0.8201162174137587,0.8951429633620753,0.6669302119804765,0.6267139231629647,0.523027716869972,0.7102573434366642,0.628249762574318,0.7790760921809452,1.0870105644574848,0.6880768941021038,0.8231508524748852,0.5951396179410237,0.9499311346958406,0.6791855524551197,0.6569605669052562,0.6646209410813104,0.6612152168470846,0.5487222345478492,0.6847496737125579,0.7666936627103774,0.7412635021784131,0.5684901171604828,0.5362667033303609,0.5901476644240328,0.6441783943000025,0.5781562772687798,0.6022584780247673,0.6527989214469619,0.7758519113502599,0.7367862047997797,0.5991241175120179,0.5797448049661644,0.6091925477760676,0.6389790608148772,0.5465240880040378,0.514208388214339,0.4985223717255625,0.5325127443521628,0.5656532234441967,0.5559637437002163,0.5487337969385017,0.7407639185254777,0.580113146942845,0.6030038367993612,0.6531121310282546,0.5256509373909999,0.5574091752917602,0.4812518034652413,0.5113167828007297,0.4739170292568872,0.4658659332299113,0.5081142601800439,0.5225473077052544,0.5307001668712754,0.4511814428965513,0.5241207128276337,0.5535475318575515,0.46728181759748344,0.5033847182357922,0.4617574465102801,0.4758260392900968,0.44327311882427745,0.4831278167035704,0.5156867466972447,0.5394483710869843,0.5635908060331011,0.4833213098715876,0.43424091374069795,0.4017160237121778,0.3791577493434786,0.35163511093709976,0.3394153765660028,0.427029651893985,0.4921812424765269,0.29415454005684666,0.2835537546569738,0.44999036948382437,0.47348922148606465,0.5429037834261363,0.4427859239515009,0.5272452789589399,0.5124149116451806,0.5541908438931844,0.509586479796009,0.48159405336515293,0.5138504576123087,0.5311696484488841,0.5095796029281991,0.4987531317413189,0.6708204902414389,0.8081675003704415,0.6764911309342334,0.4851730053894111,0.5030420786322521,0.5217578875115632,0.5020361982286135,0.5648581951373624,0.49654383436254623,0.5130248663605159,0.5098539708506723,0.47994371965689325,0.42638225928734447,0.28271145873372705,0.4277957955499432,0.6752630796908011,0.5772355131059985,0.4786449427464542,0.3574499047130356,0.37860988580164767,0.3979812456741486,0.4302947674261056,0.45858652189057125,0.48668387783295763,0.52440124174045,0.5103846842405741,0.5487953416758076,0.5455531894316629,0.45844098366682473,0.47164732614312627,0.47324355611169217,0.48120960533625934,0.4312436286100502,0.5957109191294061,0.7823299657350251,1.152162252803195,1.1272053768593804,1.304530264050658,1.2567365378836746,0.9164638235357588,0.9108825878890868,0.7322505463067744,0.7701121583563644,0.7660295513207418,0.6068537429038167,0.6256292564696825,0.5524657784476421,0.5575675102375908,0.5264327052061173,0.49978766036773975,0.46090342218604247,0.45054473718603305,0.45753458670843666,0.4860735650986493,0.5451992975242723,0.5047958210188691,0.4562948130841906,0.5486683154006295,0.5885452449464735,0.5488719607056008,0.5814440691612363,0.7373811850132892,0.710889978263916,0.8075764678164625,0.64347543173017,0.6982353989098233,0.6069803185073211,0.5946474146375856,0.6675712947661585,1.3498622039717076,1.0136657107570093,1.0768784644763254,0.7342495342617275,0.7031742882498984,0.6838791309027529,0.8853697992321867,0.71343090943379,0.7452802452227574,0.7495665315792511,0.9590874100265481,0.7645507114679339,0.6850141449210057,1.1279225613242052,0.9338001085639531,0.8094956487959518,0.9477881649300257,0.6037543759855328,0.7731283862128482,0.7487272854604211,0.6758751748290417,0.8133941546805377,0.8271236499537844,0.8752360866092318,0.7249458367532465,0.7098929887563799,0.7518828102487334,0.6905411905602828,0.5348924912903423,0.5672704985814199,0.6196613292414344,0.5269504405535137,0.5372199676610604,0.549490451466376,0.7997157449591311,0.5588946054550379,0.5003237159684447,0.5001312021709219,0.4622389473949383,0.49982003214866144,0.6050484494640622,0.48932624528865293,0.496758759666937,0.5223196494684084,0.5528371825251407,0.5797778476968776,0.5597827824285855,0.6590641995022243,0.7817215140688806,0.6660038110541147,0.6844112319279052,0.8584359241980116,0.8847034775179166,0.8162004703343307,0.8159770226572438,1.4041085102870063,1.4601470210702627,0.8937077893553497,0.8710686045341334,0.7331224203158724,0.7657966877742968,1.1346568508408157,0.8524146902549715,0.7901199300830736,0.7910219724465257,0.7015359755989619,0.5466831977479277,0.45219291346435286,0.43166016541814883,0.49757945128901104,0.503814457310145,0.4927856286042668,0.6938162323604011,0.4842595103860397,0.4674563804208165,0.5007455519187771,0.7436313232975619,0.5137086230207618,0.6321321205277316,0.5904334511960614,1.3952292837467963,1.9933012416881914,3.332767197578573],[0.5537093632914992,0.5973369039194809,0.9292587069417149,0.4715462144295078,0.5566519919037826,0.5198583980879866,0.46151855362385225,0.49384528906517533,0.4870322033956268,0.46285038827677644,0.47137865049679906,0.47938054429470867,0.48605128315830476,0.48493150836629323,0.4961760352074559,0.48402981087249425,0.4913254857249425,0.42659622255564716,0.499665313963495,0.452704055248182,0.5817165574970398,0.5980688571471571,1.1456273727713522,1.317662219400071,1.3622559218195025,0.6177574254146441,0.46723833966242423,0.33823760227966826,0.4011384956752529,0.3929493252806737,0.4628009688143308,0.4288416289823927,0.4524158800369334,0.44651586229672574,0.4223929795614994,0.40998376596033376,0.3885374928634377,0.483618107097866,0.3784355294232148,0.4923740538688018,0.6048469447873357,0.5546768705834344,0.5771935777470864,0.8642275997586812,1.0917019746025474,1.6382240836567512,1.608254387464492,0.8152921422310623,0.9632277887441515,1.612248450798439,0.9975355340138127,1.5112100982784529,0.8577593317287232,1.1763457434440425,2.2599064964459004,1.4393088348310135,1.3432277154746317,0.9317041620900566,0.9880748272674381,2.1394812525624634,0.842300736542866,0.7612906434342518,0.8066928724639786,0.6673024371477959,0.7082135211531467,0.5176567845907046,0.667659774224374,0.45916275765249853,0.5845191635597516,0.5249801610861202,0.7631238147559567,1.086088000112431,0.6032719155216852,0.6694672911491814,0.607453045672416,0.86693554533452,0.5023250807657949,0.45575483354573704,0.46507608957847013,0.5401703989168883,0.40361537820550764,0.5723219897494188,0.7256645586149447,0.6397109918758309,0.49135447795937487,0.367834757306775,0.3856193662990035,0.5370805609033145,0.4078253682499534,0.45549552119601205,0.475367740113212,0.6734556568453651,0.6251329133097321,0.48766694612301376,0.5058456349614744,0.5559866775784362,0.6143394149453288,0.5213880459499999,0.5069101882136662,0.48055875362535355,0.44453048157787567,0.5119783603532332,0.432941204642459,0.4712424425567368,0.6152216624236523,0.5063655150053344,0.5304299457988684,0.6211533612694703,0.5072825149922502,0.5141102219499089,0.46971831803465025,0.44204414872791115,0.43935197653701374,0.4199130557068013,0.4834880982431478,0.45322441506513017,0.4260323482986215,0.3420121065195344,0.4290499337955945,0.40622681400000504,0.4005796307291057,0.4717381599316609,0.5190866753305291,0.5532059506688037,0.5207791845103661,0.48429415085604594,0.5226993058746484,0.5128625724600375,0.5220745230608337,0.4287475787129176,0.4591119235391358,0.4200739500068855,0.40124417598730683,0.3356207685777562,0.3328071053460566,0.3995631405201862,0.47945511303624166,0.2888874230491245,0.22442300710877838,0.2723462674428135,0.2830724821338143,0.48329175003551494,0.3332048026201732,0.2901228643368834,0.4742198422504063,0.3197052054526926,0.3532825515555867,0.3961562929686913,0.3993330613297323,0.4722679091932499,0.44110115933939287,0.4637634252150628,0.6387613025421243,0.8217233948944563,0.6515833047975499,0.43854284970390633,0.4406960154548607,0.436293129215499,0.41572525012415035,0.4388682416163602,0.35776394155746905,0.33602923651189703,0.3074313710925532,0.2901303486474112,0.3675063598999107,0.5089576045522112,0.5199825256228715,0.7505681318468908,0.6776824540577325,0.6481503505825486,0.4500370905833828,0.2920619988149849,0.29315867173289156,0.3088895725255902,0.3090146062846841,0.3300969241643483,0.3689491208515605,0.39015064143013317,0.40212751865380636,0.3980474341677066,0.3980359307041974,0.3682667050753958,0.3849396989437249,0.4925432191122782,0.4643109751253491,0.6076971506883843,0.7692300841924887,1.0989730093753078,1.1356831564583039,1.3145084070130897,1.2261483262909236,0.874370290318421,0.8795813953289293,0.7327527485925831,0.8067480782214341,0.7989362876195867,0.6307000418027023,0.6505118859218941,0.5788629911405121,0.6197076847365907,0.5638255599297334,0.5418465786296693,0.5034366868104604,0.47714616494506074,0.47869526138907387,0.5069603708245103,0.5422088581363814,0.5067112896584918,0.4783001179047331,0.5619069410616432,0.5913887394323969,0.5614226916773449,0.6045046185965277,0.749289368331862,0.7145129502907417,0.7977863260427241,0.6585345065893968,0.698343360579474,0.6029346436822088,0.5975102685169756,0.6886097443659076,1.3804094147872388,1.0060235371448545,1.0868747367216884,0.7252423330630808,0.7035417864745808,0.6937615218799295,0.8708229385561667,0.7086066022733212,0.7292282355704028,0.7630387073299296,0.9305792587319688,0.7561981842482981,0.6769393181615548,1.0939048089259857,0.9056499404212387,0.8112693934085171,1.0092149864607614,0.6289507012944188,0.7748305408020505,0.7608385304946276,0.6833354676959809,0.8130202046581685,0.8202153493500327,0.8740711225745782,0.7415219754156224,0.7260519315537808,0.7611603995310544,0.7180305264681854,0.5546301377510101,0.585158218886426,0.6434027443264141,0.5508656727817202,0.5528803734400821,0.577634318079334,0.827294303595554,0.5771353374355559,0.5228506169473376,0.5163685226399638,0.4796000269621109,0.5152180231831246,0.6013367338954008,0.4960458839719419,0.4986248964499706,0.5272291295867698,0.5486298073074735,0.5699504515721374,0.5566173093227991,0.6361758294853538,0.7564425709823912,0.6541802141158775,0.6831676183819959,0.8539889776624471,0.8901423281134816,0.8324505948572003,0.8324350153772212,1.4078881925034659,1.4648247668536782,0.8731728627079981,0.8540187650962033,0.7270957785978566,0.7627204680899892,1.1238694113764736,0.8277279460378492,0.75710587274072,0.7581143711568711,0.6936060228796759,0.5348196336680161,0.4833414912193249,0.4282153249314002,0.4938820590683024,0.5274530348893399,0.5051623049515886,0.7114038408483276,0.5081225758443597,0.4952383459222008,0.5205449309980986,0.7482540752159924,0.5304784923573357,0.6755657747456417,0.6407645928229939,1.3603166171609204,1.896708363631012,3.1700189282810096],[0.5875776159550534,0.627403820190541,0.6781163594405065,0.5551147513542702,0.6388422134053059,0.5092947194156872,0.37954838221108,0.39816713736059833,0.41200429823212203,0.408363491387942,0.4284212918693686,0.4456735453965098,0.4564678128671354,0.47434434399213293,0.5023786731237774,0.48175774995926074,0.5085671934281738,0.5095633043938099,0.5999806196435157,0.5736851609674998,0.7204157658405397,0.737802183250069,1.1511272486186042,1.319521341123939,1.4506227064235215,0.8041095421349103,0.6236982388699804,0.47631665413895075,0.4483586662427093,0.3699864370818929,0.4889693552313767,0.4083650430788113,0.44602011130579305,0.458481930728381,0.43010096328647435,0.4508535175890886,0.40272364787719694,0.5247250532025999,0.4168897704334011,0.48390819566895815,0.6637452271415998,0.6414520774041281,0.6381962504724611,0.8779082056836767,1.2381185468154734,1.826582573167477,1.7997989629720632,0.9139855075990186,1.0985102358272802,1.7232163756961514,1.0906355424874978,1.6763607881437044,0.8237586343523228,1.10222645606735,2.1938872039273503,1.3519766325245894,1.2758587768155836,0.9589582494766152,0.918918214392795,1.9698874914787816,0.7891880612121759,0.7241986821431574,0.8218104570230561,0.7706542812255646,0.7702592622797417,0.6412264708751904,0.8200643838846359,0.5647394900353369,0.6613893984342686,0.6597624277521017,0.8417871421102523,1.0822088679945996,0.7220158383079646,0.7659609950841172,0.6747615782204728,1.0357161113471889,0.5872094631381337,0.537795454700332,0.5383444816975865,0.5778434609529525,0.42280576020051297,0.5764397427944659,0.7329888037662793,0.6046641306273314,0.5186095911723458,0.4098898419094407,0.4512625412857793,0.5466296914528143,0.49121839564205244,0.5050749434717346,0.5193782938190161,0.7655147044161742,0.6575918291295936,0.5054093747566878,0.5074236839095585,0.5659029996900441,0.5807223558808511,0.4647625340625739,0.4244576539371128,0.45178923912864116,0.40638533259845466,0.4612900810707225,0.42249779295746037,0.49546766698728106,0.6103156613542928,0.5492226044424702,0.6537233316719907,0.7735970279562252,0.7100936279683285,0.6772602071135908,0.6151214964227414,0.4807782733047294,0.37081319449057526,0.3521260189925614,0.46874935812713003,0.5341486257411965,0.6129181253445798,0.5424725583558591,0.6214126658464765,0.5623692407342489,0.5782493837086858,0.6192149435910919,0.6937499049662496,0.5818718645354894,0.42453968777826984,0.34995200346034383,0.5199792363624994,0.5481375858091097,0.6393579184864442,0.5619466666379225,0.7391106365709122,0.7127040201729158,0.6268630184525287,0.5497815992041051,0.5303025579458069,0.5628310240437281,0.6845462941091975,0.484418970927975,0.37779145467015846,0.38404984613427806,0.5077165458042159,0.5983376644395211,0.5113607432583431,0.4392713925654789,0.5376533869139893,0.3934951400753691,0.4042568715354066,0.37434946817858783,0.3517496956984242,0.3985295868517292,0.4365469313474506,0.4131755330140284,0.6523671600322583,0.9178863696569969,0.6935236042378368,0.4286065794553689,0.4051639759045361,0.41642856845618914,0.3881983131101902,0.42924448490227474,0.3677760961813822,0.3776914007499954,0.3828342580867769,0.3726346701428124,0.4170415393201769,0.5523820514286291,0.5654762248468816,0.7750612840322394,0.7978373566986389,0.7310404550416484,0.584257582834938,0.3960620359027564,0.3965110150769581,0.4102011887693205,0.39364286945911175,0.371351329527575,0.420840963797854,0.400671629499508,0.46615350217058077,0.4450013851897307,0.4478767710130493,0.40444460768623547,0.45352578323801895,0.5885494498674252,0.5531843482909679,0.6267385090746282,0.7505685996412973,1.080088411355372,1.145164418970214,1.310181994469847,1.189272063546988,0.8395842303029184,0.8819714288508753,0.7987188697021882,0.938132584380374,0.981675028645034,0.8868506500522634,0.9358796198832912,0.9272078768621852,0.9825091471665027,0.9136183035657001,0.8667092073122539,0.843489424937753,0.8392089324843552,0.8224253853620005,0.7727353082982996,0.7523825018988707,0.7651999667782531,0.7518579348348748,0.7373966996061504,0.7660982403693682,0.7625571894928767,0.7543483599251668,0.8393709225740317,0.8158678127060266,0.8245669774892954,0.89021645168895,0.8737861556905098,0.8431255844368978,0.8622081334275367,0.9867215859433753,1.5923851375589972,1.1796203996074501,1.1760503962622848,0.9372936811743126,0.9795164586793561,1.0064381359452983,1.0884793281010274,1.0117020545972493,1.048848273842082,0.9873652434597991,1.0509576517896584,1.0274199813545362,0.96571270989884,1.256244941287979,1.201846684001536,1.084039430529826,1.3185853452281047,0.9717975881147392,1.010937225823139,1.0293469890539664,0.9559035042036992,1.0276390080505637,1.0305377807061529,1.0589216779612984,0.9835951733554948,0.9697751480599232,0.9755973923187735,0.9607611229093656,0.8268532671175116,0.8218752653591681,0.8429645192538305,0.7862519097226321,0.8026896119983938,0.7996581633537175,0.9858581783913971,0.795710592777301,0.7715582923401038,0.7766041864242527,0.7843831549663024,0.819656665676279,0.8736437851987312,0.8035335883212206,0.8032660018352578,0.8396099960559485,0.8420885606733994,0.8180472656498404,0.8527545857039605,0.9250623871792532,0.9080633733181784,0.8734595940366714,0.9991163271960147,1.0535894017105862,1.1184006242578264,1.0617490130595821,1.0869267570373107,1.5903153953953444,1.6324468447840996,1.0331272884538556,0.9476009199775423,0.8616553632831191,0.8335916043044165,1.1098282151052763,0.9240535243896777,0.9836417597575264,1.0497823946532943,1.032016139695326,0.8385870655941274,0.867779442248224,0.6269537995309006,0.6540226000705145,0.756792559603006,0.7111560318815328,0.8136429288340958,0.633888829664732,0.6520285222655363,0.6184857564769445,0.8068773024359005,0.594174912736965,0.6342409157409135,0.5587892163504699,1.187837046061917,1.5851279070016826,2.787314966895229],[0.4702540644834677,0.5181622845137747,0.8916218321771442,0.3755689563091205,0.43919354649125386,0.3811804610904526,0.27962742823874487,0.31473114190477386,0.31472255605940413,0.26729794806668683,0.28332991060772006,0.36646619995541835,0.3259563191112765,0.29474552759672445,0.3180555237820769,0.36249711533838785,0.4014672752541229,0.35830627524256436,0.4380025707636734,0.3642535737838928,0.42676045222295395,0.5219495357478763,0.9455390939442877,1.0743272240847996,1.2153862432259521,0.5306293463335614,0.393739909108868,0.31816323816828884,0.35572641708193964,0.300755625623871,0.36322256241080525,0.35477385484138757,0.3890794257281533,0.3855182829312506,0.3730808593378003,0.3558035928507735,0.39548840945925534,0.47996766079710707,0.36731134655874126,0.45544010096809673,0.5719747994649178,0.5316477804300467,0.552793135413533,0.796514354099233,0.9493947819851551,1.4944766612721734,1.3350244638182747,0.6982122702050301,1.0040926443647091,1.5962556069763607,0.8609778567740352,1.6536952852749243,0.7034257403343961,0.9615952311835042,2.208995523063031,1.4238148742630972,1.4298442864863585,0.8250901880839638,0.9533210722624572,2.0659202401264993,0.7270469354702145,0.7067216501648624,0.6833938191060405,0.5481588752052812,0.6188129086624197,0.465906333548543,0.5150380711199797,0.38397073727708475,0.5379935788677568,0.47867739260522035,0.7043553321824758,0.8759766479905942,0.5902572665718876,0.6098946173285292,0.49446999169491634,0.746901962451478,0.46075933608025815,0.39383837458160453,0.41023333461432393,0.43549667442700307,0.4039315059919665,0.5952417106868729,0.7912030708767058,0.5282876015891669,0.4660469593243961,0.38899128214453665,0.41387087626523084,0.5750703705808055,0.36702647416217304,0.4595793342973962,0.39063233875058273,0.5708482889880845,0.5090218447310215,0.350858439055395,0.36065297547216235,0.38334209543807146,0.4484425952351304,0.3924244101715475,0.36654484830134065,0.3944495885603126,0.34285339261843945,0.3931703991883272,0.35349675592304697,0.4002696144561653,0.5448060402167302,0.4318618863265548,0.4644888969509657,0.5158136465141935,0.3786487006228372,0.49748673393517934,0.34758782595331156,0.3636462664333256,0.2632357012353612,0.26644797659902963,0.30941099515088416,0.3101112050510237,0.43654245264396385,0.3331022085068095,0.38725880897391374,0.3526974880044161,0.33674914914574045,0.36241992096577713,0.3267569806007149,0.35343957974581164,0.30017260056873046,0.22797153871032916,0.3841293119245076,0.3637721220823374,0.35909970732443525,0.3583958451549861,0.3783034633224908,0.3678071358289184,0.34067120250198135,0.3520957070231268,0.30272598167121983,0.5236784658850674,0.5054885710208228,0.30256091161328713,0.24336579751228601,0.2624353202046853,0.3362115975501167,0.38044896953507745,0.31862701407824284,0.2864424116797487,0.4054520091268233,0.30613417506860124,0.3224853323443408,0.29906083281846657,0.2771863081042756,0.3255219598599671,0.315811822302375,0.31911281298049055,0.5675567707254676,0.8046502263898277,0.5878530595405617,0.32943894703779464,0.3222728006960544,0.31820589679678474,0.32775807757973036,0.34421251751216503,0.312292911511785,0.3386655596946106,0.33242953919377205,0.3206745197219988,0.3263291029486838,0.545110640825164,0.4283460064075052,0.5760117738025132,0.5897772891107642,0.6080154863176465,0.41585289891798066,0.28923695917702313,0.31355181728266823,0.37520230678147126,0.3583843977943535,0.3435500180000719,0.38107776782790614,0.4213593072026308,0.40053965411432757,0.3849357224211669,0.3923946739610926,0.3185187493180367,0.3280645889048433,0.4424983886881788,0.45501068461008104,0.6190253172843334,0.7710920881044132,0.8510724899911976,0.9500709085883714,1.145122590759142,1.0707366648723688,0.8112848328295987,0.7527281056804899,0.6370927173199347,0.6126421917356929,0.5998950635210171,0.5262951617549535,0.5031224695629369,0.46955244155166675,0.5300264603151398,0.4094942888172579,0.3841447836224969,0.3450759159578883,0.31893086232755286,0.305520798765936,0.34015974698397816,0.4608440425801701,0.3929283561787183,0.3416692827593842,0.45891846766272704,0.5049276438637048,0.46204860151394056,0.511704670932262,0.6898188820471174,0.6572428158951261,0.7729058062070568,0.5722940829436018,0.5994285873558869,0.48353173855902465,0.46780759151795065,0.5201936546212577,1.464133361399567,0.8945419756855163,1.192641236432702,0.5965194319800781,0.5213428612445202,0.5412229671380991,0.6807385405300699,0.4961213418058271,0.4938991319351413,0.6709712130781289,0.765390465421631,0.6498206193995737,0.5202500387243376,0.9172272451278675,0.7031500081033505,0.6425136284335236,0.8958460272819772,0.4970599330298276,0.5869910315926649,0.6165105111822525,0.5766992873944511,0.7405182568512506,0.6966272208479236,0.7702167394375817,0.6449960357562508,0.5645056596938982,0.6351830872646437,0.5910504825719645,0.40054053276721224,0.4438437433282841,0.5080196162182795,0.4028739787187524,0.41342034402838346,0.45753589555767826,0.7714091518433822,0.4842967556728215,0.41532698486321257,0.4043245784386583,0.34687464247972044,0.354974801534761,0.45284165245263397,0.36157785205558046,0.36365983281665215,0.38202613636146204,0.39338362696459556,0.4624903518107455,0.4103699397984953,0.4665434159209431,0.6691680246337136,0.5731032687176913,0.5408829025619748,0.6743526697009874,0.7548980701286232,0.7212174245549207,0.7062303305189587,1.087913502431245,1.2767739846842807,0.697924277513656,0.7493228070635352,0.6564249990147805,0.6914671458845544,1.0379560836436994,0.6986828733869085,0.6208229155910303,0.7006904102264959,0.5479172113386105,0.37860422323030035,0.34716881294079127,0.20984737684800325,0.31692762616205006,0.3672547016054587,0.3268260355994684,0.6378207115585282,0.35461018522109605,0.3573846248015757,0.34683058649417325,0.6083117973673937,0.38183064980918385,0.5881605552329819,0.5680936276282132,1.2599897145133314,1.764387414196376,2.974524479310647],[0.7549342587556689,0.8490400850794659,1.2514863363821696,0.6775954023540711,0.6800864608143111,0.6701542113100293,0.5029564824864285,0.5005506160297167,0.45046304073392096,0.3230301580125606,0.3294375992935849,0.4387980015841586,0.3516187321429943,0.32075136546671273,0.35923721653184737,0.38780706395039444,0.49516230000847666,0.47943586070015515,0.5982198354944231,0.5047272402717092,0.5641952997706923,0.6089271294633483,0.9616008247129317,1.0706921097054782,1.2991557563042102,0.7359618843990287,0.5581247488745555,0.47786204132493504,0.46714771193016785,0.3833723743621292,0.41431690869618015,0.4060056826984912,0.4317938796250605,0.4459262994020054,0.417201442123715,0.4261525762115834,0.44503561714408985,0.5557902134804678,0.4733864309828791,0.5745564973773579,0.6896274566059842,0.6551600347261863,0.6957813220425759,0.9165413797581695,0.9693920692615793,1.3811097370043535,1.2746583433956016,0.7580902784269028,0.9411444397747811,1.4770585317255926,0.8333598170273877,1.6033258822013559,0.7537665854557576,0.9988802661180077,2.1871260243837782,1.4457790770899657,1.4843645129101066,0.8304628221301454,0.9692416693763439,2.1127873748439914,0.8268700371368043,0.7744158038773556,0.7048642388891692,0.6524786492482085,0.6989531564976061,0.5837380327355886,0.6465616468103385,0.5240709433867947,0.6894091753192857,0.5998731651923674,0.8285930092391568,0.9810969274554804,0.7246705121209696,0.7721411242656668,0.5403935972549005,0.8643485088639714,0.5630200791634998,0.48360690162830805,0.4785183948970776,0.4992495976750741,0.4670311765257335,0.661238231226569,0.8331793944988862,0.568869568357787,0.5736160048083476,0.46893499539320044,0.49420522622423135,0.5977204759668133,0.4382536671755884,0.49905065707082275,0.4470135575622554,0.6025452930960806,0.5240540336341283,0.3752004004276976,0.3760885896017843,0.4129459998635114,0.4501525481272959,0.429492168798379,0.4392940430554532,0.5222283967396679,0.4373644189665567,0.5232704225738948,0.44412391144464725,0.49644807975851496,0.6241297048360545,0.5849134376512843,0.6502778707308708,0.5991810980513066,0.5940846777902352,0.7513826533660488,0.6194642032448862,0.5217817155781237,0.43809846972481137,0.38276744907736016,0.3605536859885814,0.4397988793370063,0.5346986333621105,0.6068034215257835,0.6882175782058717,0.5099135116877931,0.540815419571545,0.4555111541423209,0.4858285539996003,0.3718539691124268,0.2879104784901036,0.3847735891782207,0.5836469379804448,0.5119251907178459,0.5355431533270201,0.5200872373553598,0.5156440739787207,0.5216151937658907,0.4566930002246356,0.4850258993524995,0.42023051272506096,0.5902230160553047,0.5860519833952672,0.44624440753930195,0.445485010195341,0.4818976558965905,0.635449974843952,0.6559953240569234,0.640570227528082,0.5136896184588394,0.5152226114952344,0.4418526007779521,0.4357456977950625,0.3851975152061171,0.38754831196159384,0.4212726101457671,0.510200375596652,0.48912901072513076,0.6952637921677399,0.9722417306341957,0.7688622901518867,0.4696410668475085,0.43239785095426686,0.4789359320544505,0.4041899319511186,0.45060436112620034,0.3980307681955916,0.40230604220649907,0.45844019298379235,0.4603926868756153,0.4708729351928221,0.6484284429490407,0.5542470298415149,0.7498757376352071,0.730241362325051,0.7428779387919012,0.532763269271231,0.4385594607750269,0.4296766231091942,0.4468230226248768,0.4217192291636943,0.3990924392237867,0.43641250751446325,0.4949760711669601,0.45425368608446376,0.4376823986419137,0.45676111469171843,0.4241751653743366,0.42439364270958385,0.49623055360706336,0.5227002662697244,0.7106783054967794,0.8976051169883922,0.941626155170485,1.118700982236095,1.24533526251863,1.1856573525787806,0.8690881387685212,0.8002271979496725,0.6871462919739015,0.7305763576259836,0.7038646528154906,0.6283821085117828,0.6281011960368249,0.6719555754749055,0.6819139247082835,0.6517446590598278,0.6456998377380481,0.62702386038281,0.6849561109675238,0.7036565862332335,0.7318761215454356,0.8645623963566688,0.8240318587173753,0.7783850507692026,0.8620173851861712,0.9035343851442054,0.895911896150522,0.9274776512490341,1.0354500472268617,1.0471905082457706,1.180657683554705,0.9464012955216651,0.9671844750362664,0.8667856690739902,0.8425850044141916,0.8608695628723504,1.4074852956321526,1.1559543390246572,1.5685443524636604,0.8543839964212916,0.7366073364146297,0.7167856012698669,0.8152398292301765,0.7192522186183323,0.6801897984222652,0.9241828488677013,0.946229659280907,0.881325678769888,0.7456718647282216,0.9176409609525513,0.8739498632828167,0.8118315127097436,0.9531624270033543,0.7005452158181299,0.7004461264161521,0.758723949398254,0.7797378736625157,0.8811167103090912,0.8662352484878915,0.894805438215528,0.8358884823853779,0.7643356088508032,0.829013431863794,0.7879254139039314,0.7060957698938888,0.7439844620406257,0.7967157776072954,0.764497654481293,0.7727357759825605,0.846615579974438,1.0610152861123927,0.9014770236706735,0.873500652925535,0.8572192407803566,0.7830604943118669,0.7112165909603304,0.7729613245658786,0.7854353696893842,0.7619028956546031,0.7519355892429413,0.7644090425183643,0.8518240066206026,0.7411571051244281,0.7481462953599319,0.9987924292154078,0.8542689262378431,0.7517456492567154,0.8551737960923902,0.9591831052258833,0.9119124992657508,0.8855101384960937,1.0898855556928344,1.2471204885531624,0.9415515421810499,1.0030181258797743,0.9935886416998612,1.0123363378644292,1.2499256060701869,0.866302080170369,0.8071945956661535,0.8566529241526597,0.7660677980506332,0.6840154161697902,0.627397990574214,0.6157860928656229,0.6674233993894495,0.6444078182698925,0.667916799462033,0.9172975710786108,0.680292349786803,0.721010095829291,0.6936039051709869,0.7557956249339557,0.7130368079374145,0.93665130325041,0.9305996739442264,1.5984631879643232,1.7232494036778192,2.778367962043794],[0.6165177859637605,0.582048623627128,0.7862652204671177,0.4478149750018712,0.4845342384704176,0.4185947473237996,0.31705884853510996,0.3312693395326853,0.40397656954482586,0.37788282615702457,0.3927256094223579,0.42605436162703225,0.3653876309788081,0.37477141125818086,0.41797547313649286,0.3942988964208914,0.4694699597259219,0.43652584353412105,0.4651272174625846,0.4221546481276032,0.4587806528764417,0.5569286142998912,0.7898983816829063,0.8722902184755531,1.1776448672575972,0.6072092078034331,0.46150521705082265,0.3527093747703931,0.3977244086935747,0.3626900612573716,0.4299096537787711,0.38765436246061447,0.4412834559036631,0.4491914621215478,0.4009179508097176,0.4133993097722503,0.40337642270541474,0.4683529360411408,0.3800583291835329,0.4492036712676809,0.5992665567630231,0.5628633185408624,0.588696867860742,0.7726644818522437,1.0010922835601943,1.5055724368181203,1.3621761428105494,0.7248780827192409,1.1334618492675612,1.5378303806433524,0.8549029309439345,1.9951068028214627,0.7450320190213942,0.8915795502424619,1.9141380658408094,1.1674776199661672,1.2291140441908819,0.7924875461806209,0.8152529822042609,1.8303797787823775,0.7353909247670372,0.7070375589681713,0.6803500279131761,0.6357135563974433,0.6522376523625244,0.5374048805579644,0.6236548987151498,0.4695478618804706,0.5794896307829367,0.5787140391517058,0.7636832518747112,0.9180714931572704,0.6808722888695423,0.7139500966515749,0.5326150485547462,0.8976173992994944,0.5238023115826088,0.44679919240959315,0.42817777817682906,0.492996787358782,0.42089521490454007,0.5979309178882098,0.9076859225846765,0.49966686045913866,0.4992970669817447,0.3982166871583132,0.41386585887973193,0.5473627611019607,0.41199941308651283,0.4690006122746229,0.4655668235856078,0.6172179069941304,0.5696442431852079,0.42854665370899236,0.4244719459529533,0.49880172108907145,0.5345029863661137,0.4546266334834866,0.4502321317719945,0.4330666228775045,0.3866651332392897,0.3818464157153647,0.3498134525596849,0.39066663787853956,0.4851129364660662,0.40025989053350886,0.4430156359910621,0.46946421292454044,0.36219621371848193,0.5250320936270141,0.3013877302862155,0.29432820657487413,0.2761475552442923,0.26202165431312235,0.29692366087005284,0.31828592315306536,0.43935044149961555,0.3897341464998503,0.5095917852017453,0.43067317506003655,0.42097667385802884,0.4353652207467522,0.3959791101780185,0.2608340222507848,0.2436462039582404,0.20837450406587538,0.27192532036359207,0.26974291342957435,0.31932167313517007,0.4010794709840063,0.3906254897570068,0.37548726169080343,0.4065467756901892,0.4257970540752694,0.4207061429042091,0.5803102082709999,0.600259367539714,0.41798470348814115,0.40995849187311656,0.31935422076199804,0.39810299713890873,0.4612042369256896,0.46094235761881525,0.3859266051726949,0.47505409642123525,0.3498544028730007,0.3276318053385575,0.30748942680239927,0.2672138433349432,0.32606281938882564,0.3413884854386051,0.378408052968421,0.5208107463979206,0.8884688586781833,0.7596982060395256,0.38203836655315887,0.360649746801019,0.32500472164663274,0.3113069612072619,0.31655253046673437,0.331402484149263,0.3080740768420852,0.3254612754893304,0.3538801715214508,0.38696288487457303,0.674491160406044,0.5034453187677242,0.652571444277613,0.6831910688956808,0.6702322609316248,0.4779229207613625,0.3939778343804112,0.39107973610119606,0.35289879483857967,0.3209926779649714,0.33131758371788783,0.3696986093306833,0.4283943530912131,0.39192252424528035,0.35515759569229244,0.3614332110335898,0.31643257811321507,0.3554151435301874,0.4188997433986327,0.4521208723945277,0.6244266525279172,0.7637084523780935,0.9666394945334968,1.0307077734191836,1.0324574383991965,1.0947182380695577,1.0363284072614667,0.8851747443654212,0.7376186445568891,0.6599372380028351,0.6264385869919172,0.5283980337935532,0.5094630755585967,0.5193243794161237,0.5449547007768522,0.44871305201816974,0.4309291338497434,0.41928569318170017,0.4503911241317692,0.4293732383801414,0.45722059393856684,0.6341330900820352,0.5220029433139098,0.46282753037082086,0.5389821427853998,0.5750424515369222,0.5488942390398267,0.5838419912700242,0.7168095327829258,0.7201012296480561,0.8225400176999352,0.7017779640708661,0.7006228629699546,0.5896238428840082,0.5835064956489627,0.6174623480587844,1.594299893747976,0.9216613502178459,1.323674462783792,0.6789690515575961,0.6134551918882378,0.646368782585106,0.7326755508242325,0.5761562753653542,0.5587398174057875,0.7105748431492374,0.7837310258242951,0.7196305017184496,0.578584060020966,0.9926322508939978,0.7267097923336708,0.7042151299905496,0.9538988294291385,0.5441388826072354,0.5726323712145442,0.6248620422383229,0.6340689800972805,0.7702805020238631,0.7451195807045387,0.8032419373806128,0.6568032626961273,0.599626047846448,0.6868634622539116,0.6286715297241284,0.4848090360158883,0.560477292367083,0.6311072988607797,0.5129775422677653,0.5121573806947811,0.5969603258503828,0.8292430899076585,0.5839920307201324,0.5435268778699597,0.5281997971279704,0.474291338699137,0.44998688087711525,0.5070072785430636,0.47435489974629863,0.48274133927832086,0.46540267341638797,0.505698994160068,0.5660900112831841,0.5167531565837494,0.56445646915193,0.7775021764843659,0.6699746551089306,0.6245818750870995,0.7622908477776166,0.8669490864149985,0.8423156806662665,0.7894828210790902,1.0762084514457522,1.259583538851748,0.7966774259543447,0.8183079647514506,0.7291253868446689,0.7056614342097093,1.0287934362277362,0.7355743597501483,0.7487836550054088,0.8489722736003665,0.6825334237727364,0.531249249663902,0.450749900942734,0.3914224849534405,0.41784132061572304,0.388782346870247,0.39723285945440046,0.8902131330924659,0.3965697167489407,0.43348771918636286,0.40905121051191795,0.5924364925816493,0.44107247553310297,0.5719977534269808,0.6755107638153999,1.3604906354010666,1.744737901839788,3.087293036531834],[0.5831961700583641,0.48827660329002825,0.6594111038057924,0.3156965691884112,0.36080242014619257,0.35898903771790674,0.29388162925778105,0.30717125737871953,0.38345935045989993,0.2903244315127027,0.2976190346088258,0.37183239159361164,0.2692072092311621,0.2382976769553799,0.27699645759697344,0.2936433994574185,0.36046872051440926,0.330063896992919,0.33908812437400426,0.30259417847979964,0.3435322868650634,0.4480635562645578,0.6332939487305101,0.7374463271858623,1.0518037774395812,0.5395848951131437,0.33754721730349035,0.24757491754385633,0.29739078189861345,0.2813232873555037,0.3397071114261298,0.32338291876194747,0.3572748889024649,0.36598305840293577,0.3135675822226035,0.29754215830202374,0.331066393827085,0.36331795249512694,0.27759305590196964,0.3482760853180377,0.5057028217687723,0.44341111147710294,0.4726339545453598,0.6517686307274736,0.9130193216703789,1.444985854847769,1.263130575493851,0.661388391337877,1.1849366890980344,1.4967094330923874,0.7864088347831053,2.123820546827863,0.7391470705691071,0.8135552302392866,1.7843269496647236,1.0408402292620509,1.159027971315324,0.7156127579723378,0.7325071790817365,1.6758655250476684,0.6650521820972686,0.6784743095017233,0.689683033813408,0.5801830454979775,0.5178194787357473,0.45959788471793295,0.5495699346758567,0.3888324053486915,0.5600624892097923,0.4984594678990208,0.7105631428516223,0.8516268854846811,0.6308344837070416,0.6787176586423321,0.4549202007153388,0.9287367500507204,0.41373171543126813,0.34841086850281716,0.32465474031119895,0.41440049863023454,0.33388084087987574,0.5388753715572703,0.9160956457729789,0.42992907968270827,0.44455575480733295,0.32454748439428244,0.3286539632839089,0.48464777723539554,0.28986471756079585,0.4066925100769233,0.349938541377812,0.574346533001433,0.48130030559938014,0.3191636941471062,0.32328283841009947,0.38207891814710454,0.4276345611368551,0.3960037812687409,0.3927801470833666,0.45416143644079826,0.3451532679209199,0.39692997811976416,0.3056242170992812,0.35777999122555065,0.4314129832047439,0.3771825867362733,0.4715411098845773,0.3969740615646715,0.3508348239329422,0.5648283257929969,0.2667427595848788,0.252151267464313,0.2483549773741818,0.19860025239689827,0.22275968883899602,0.19058131144243606,0.3526362137069645,0.27502502117070826,0.3913233626476717,0.3014502851437787,0.2918126713491472,0.2805680329994782,0.22484712104355412,0.1518122324549539,0.1562469809066721,0.20914128862989706,0.22627685509697307,0.2928463331248461,0.26916898615781537,0.36127140447933653,0.339746205703932,0.34573110252692857,0.3606405139230107,0.4418896330368681,0.4079185914722024,0.5682396838422775,0.598969828360155,0.37163046911051206,0.3905069266477142,0.28772328573922856,0.3939807220468976,0.43892797389734234,0.39647783498467914,0.3129803829165688,0.3529715144530028,0.2578202809803889,0.2311723389433935,0.26142368218795986,0.21021302966182984,0.2931033956626939,0.3019199287058896,0.37989439038691886,0.5381015942705727,1.037293696717248,0.853136069574912,0.3951526734511583,0.3401289067790598,0.29338635621676207,0.2519893108808428,0.2918944467936115,0.26810833686724406,0.2628215364342672,0.2794015634283391,0.3048493018043462,0.35569649541889337,0.6130068917357531,0.4624877549076771,0.6100330521376603,0.649482888494602,0.6485949957639959,0.46131530837787704,0.3620820468860787,0.365313834108737,0.32459758018805296,0.27473409229291873,0.3150237613665336,0.3242729013000625,0.42871139516650614,0.3497098790099655,0.34161981489962395,0.32694576353849364,0.3036171254075947,0.33223727904542666,0.38352407744228434,0.4232563031339818,0.608713602250966,0.698595407084427,0.8843281244809981,0.982580804178205,0.9865482491174552,1.0849161466913126,1.023510401940098,0.836816014157921,0.6953748407317116,0.5773068562203679,0.522624964217403,0.4994151344366447,0.43465446958886844,0.45719093105241065,0.5052306143320008,0.3830360235081537,0.3691339495872291,0.36779289734583986,0.38975699498343364,0.3684413148401889,0.3845034960843832,0.6248630574885712,0.4646164215558896,0.39586934325101286,0.45352980354914046,0.502724661114147,0.47241451080238117,0.5190966229665326,0.6498380315168203,0.6463151289357629,0.7416907876425509,0.6132227665928083,0.6389451934941122,0.5151388380503111,0.5032158924940662,0.5516036152213584,1.678427835060209,0.8383163734024179,1.3718915455642942,0.6067466898534072,0.5666661825408533,0.6034474662384819,0.6826321722707508,0.5160299095251396,0.4717520046116838,0.6754571928417888,0.6828329780548386,0.6572937398158513,0.5137767050460127,0.970475888201637,0.6764739220830491,0.6486544771356597,0.9378379697427971,0.4882622595764831,0.4885324698314861,0.549773169341646,0.5758293380438457,0.7360711222204422,0.7179913349426059,0.7865831724033078,0.6244438134883818,0.5354926627362572,0.6904615844428755,0.6046825912143482,0.4347670615766553,0.5371357745907561,0.6267865168764623,0.4736230312837436,0.4707404901833327,0.5993334143202319,0.8321204221294861,0.5442383139670642,0.5101751784164862,0.48182720677783886,0.42512814551134154,0.39414398100849185,0.4401940442157764,0.422238472707244,0.43958304397531056,0.4181621035975267,0.4469315933102284,0.5225014318180177,0.461043554425889,0.5084301510375315,0.7178168776460445,0.5974917530235798,0.5589656994312432,0.6629175163058001,0.8072934299900253,0.7634996029696065,0.729649040078062,0.9723822542355645,1.1629141096488003,0.7653168568414351,0.7417964705600303,0.6619514748845153,0.5947950885928804,0.9104307411585788,0.6523404084124013,0.7121042788837176,0.8127926973043816,0.6189443564276839,0.4954412310552043,0.41023642312691544,0.34938510437480735,0.3455488189544349,0.33551339456793877,0.35119685466906514,1.0014216918698156,0.36174821174702415,0.3719468713319474,0.39605018635535383,0.5693739891389553,0.37922127374134385,0.5407781321283252,0.7476631886362719,1.3911277852437984,1.7324652286416649,3.069339915652615],[0.5918886017753895,0.4808256017341457,0.6244506528092155,0.3448852489729687,0.37302985061016103,0.36086408547817633,0.3142091797523234,0.28692931357647744,0.30078314500223785,0.22543421995670374,0.25362718252322275,0.31488345510452226,0.26292934218112135,0.23811126456606369,0.309566606633234,0.2779404194199841,0.36796874570348115,0.31653293146659695,0.36771522536599177,0.32416275314720516,0.391902907580703,0.47333140687723957,0.6058533132247085,0.754035143860766,1.0181424107461365,0.6300348226700461,0.40410633631013887,0.2723326767990004,0.2678596622441244,0.29657670013991205,0.35890730151216865,0.3154584175092426,0.38250099839450313,0.39330285969524115,0.3163025069729464,0.33327681363829886,0.3094535894731368,0.3719965221324924,0.31287962029740096,0.3591844774556589,0.5162829769700116,0.47443151551325047,0.5010106893813617,0.6380937189596405,0.9167007357661242,1.390727861373689,1.2716756743903292,0.7022619099526539,1.1833226100118552,1.3698679149344417,0.733135357619592,2.159247141027362,0.8187401251315904,0.8513485822728203,1.6379568647400065,0.9267964800788387,1.037907323987991,0.7414939414449558,0.7118028646426008,1.5726524783873053,0.7168734354975557,0.6951538264890119,0.7729859082321674,0.7043565371970939,0.5474486830195056,0.49254666226804095,0.6203298025445826,0.4024646733730632,0.6066950329993199,0.500062069892021,0.6911165336460875,0.8940183270672747,0.636955319522615,0.72841197913072,0.4906352975711966,1.036634952417795,0.40542527883252727,0.38521814297975054,0.3535078733564713,0.48608965749326977,0.36342468011099677,0.5319989678269506,0.9672866000011785,0.41704332029386565,0.4779452690742599,0.33610085573374726,0.345166957108979,0.45343487136552724,0.3310871096932158,0.42898410136230786,0.38223209482252657,0.6481747050105574,0.5587276026317776,0.3747989672626281,0.36293548439664036,0.45084555891634387,0.45332749944985945,0.4061615553956457,0.3824100944642319,0.4824397174448873,0.35975103797531316,0.38717167951891546,0.3218755905027379,0.3584254825614559,0.45185431034543977,0.3854928390360174,0.46637797692422317,0.41489600947371885,0.36904582046530615,0.555449605510192,0.2773533377723689,0.2741789645938101,0.27718017120371036,0.2550099455681463,0.2538949973352365,0.25461375631480343,0.3092581356349089,0.3069590635033805,0.4535979961727916,0.3482265178274401,0.35260850897169854,0.321572363012913,0.28741860174579703,0.21677583257926913,0.2363354895649845,0.23440013813148033,0.2528375527763591,0.3183988584198624,0.2835705544304171,0.37803563298398846,0.3651635065123297,0.36417001469880267,0.39411322078932237,0.45881890763260136,0.43410263927192827,0.5662743492777277,0.5843388622072998,0.39731091869609236,0.4088475968525148,0.3192778964765431,0.4362145783022806,0.5172149816006687,0.4444449254616072,0.35714513955890886,0.3894875866859348,0.2856714820424691,0.25738406978217654,0.2741835011020674,0.24260902350723468,0.30298931629928927,0.31250850863921154,0.39032935452755835,0.5485733201254016,1.1832856151618616,0.9519340660725928,0.39175383576153755,0.31454867100509737,0.2857452151249435,0.2556946485365494,0.30747154060145604,0.3201674316408051,0.2964386793691798,0.3032855668575067,0.33137607346597064,0.37479355587034224,0.6047333906044141,0.4690888454695235,0.6258907408279476,0.6376979023630157,0.6244078115463588,0.4656884195178731,0.3886883414320546,0.3915542382178623,0.3577569876593454,0.29648533234986457,0.3325014370633987,0.3283571825952012,0.4432409420600912,0.373641753496483,0.3462120593939125,0.3586225675757601,0.33142702341531577,0.36124586258044605,0.40219840099211673,0.44289561219513873,0.6235408103292436,0.7133137065076365,0.9354931547943066,1.024890329255993,0.9699723081388332,1.13031246386156,1.121741533892627,0.8846293346244916,0.7271578117634452,0.6358772291414005,0.5711989920537437,0.5085503391239315,0.4650619160308079,0.4764760463298187,0.5181104389893172,0.4054986662373739,0.3813319500617254,0.3836614168360629,0.4159735989700131,0.3951963669797126,0.40846882234733295,0.6499986389962442,0.49204606905774656,0.4309419206210999,0.4832151628557279,0.5367970539655067,0.5147101763608349,0.554041711946751,0.6656198024269687,0.6806044703596541,0.767259904365734,0.6529993599213236,0.6757923666255986,0.555387837238377,0.5317241469463552,0.5880077495463212,1.6535212471623548,0.8509513940181138,1.402255593416963,0.6340944902165867,0.5955301492436695,0.6251570553097873,0.6915858741932106,0.5282225686633956,0.4925305623257703,0.6735007125837071,0.6872117707454746,0.667796266406548,0.5254233023766843,0.9811712518818335,0.7124123569806848,0.6674117386331602,0.9478785921841312,0.5086769010394583,0.507365078083453,0.5667914702996123,0.5859085992939864,0.7520715937882166,0.7497087185192898,0.818348012827463,0.6420291218347278,0.5640816157886933,0.7339245133065689,0.6376951957059479,0.46420920629698914,0.5691884503591711,0.6608849530759995,0.5064738649354155,0.5021717841991602,0.6379111186373123,0.8553965311672546,0.5717132873123335,0.544645131244101,0.5185908799601876,0.4639428483442253,0.42397405426632073,0.4658720796275735,0.46654901930548554,0.4765748053032355,0.444653661055397,0.47654407739060245,0.547910913692787,0.484399236210453,0.5365555652838115,0.7530742499175295,0.6179405990887894,0.5862016243251095,0.685502002133552,0.8521391117620386,0.8029364454615662,0.7642799996064065,1.0237816217344333,1.191051001277453,0.8267850924285354,0.7791269821934551,0.6912051719120881,0.6155465707677037,0.9206543493866591,0.6901006298185924,0.7685236568178723,0.850216269929038,0.6558010406956788,0.523286457864807,0.43101836537262844,0.37080703122053166,0.3668613421068028,0.35033104027956835,0.3764810915716907,1.0779568449941472,0.382982051450091,0.4078898169324705,0.4272620537378168,0.5966078805393692,0.40655240523921116,0.557158022517346,0.8546457115920684,1.483492689365229,1.8086509499105343,3.2412599923079948],[0.7157405733161839,0.5188568413321568,0.6092105885566447,0.3286476787511899,0.3871026082650233,0.3762440449145044,0.3581697181168317,0.3123098385560558,0.2087668021235134,0.17795009773997844,0.20740277292356143,0.27839966816883566,0.2478172458805124,0.19098167271116936,0.251303537657627,0.25392540324359475,0.35317570807665205,0.31761404127654613,0.35719753549108557,0.340362584587751,0.38050319756945894,0.43669185081055323,0.5547554442450202,0.6834834226182911,0.9183074317854395,0.5814673857324957,0.3669393878542218,0.2998215513442762,0.2888793543028596,0.30208903376295154,0.3290164218593272,0.3079577484424756,0.34926738074962643,0.36154024295619425,0.3041990086670047,0.30932881005310303,0.3197875769376268,0.3626447911153896,0.32613918898821537,0.3721277132381137,0.47882246745759716,0.43438922294305216,0.45830336877545563,0.5639824761253718,0.8077341672495286,1.2873857141043217,1.0857395972260337,0.6421715666215104,1.2758793145527763,1.3341935770302102,0.716028200926577,2.304155304694936,0.902338081024788,0.8388379505886508,1.5565470183510823,0.8974053620355155,1.0617657091007426,0.7025619396768009,0.7236146836707835,1.4874235629397488,0.7215429505835036,0.77531678544578,0.8510582339879801,0.6926945262104346,0.48932134619270184,0.4902978753529828,0.6000216781851532,0.43004406889996244,0.5973988584379732,0.5170303634376953,0.7157822709199102,0.8600151888751568,0.665612255196662,0.7217971824004221,0.47732616833890007,1.00953651792011,0.42218242067373696,0.377230974687771,0.3473375801066926,0.44640702532487087,0.3728498804552083,0.5473398804973025,0.9937975845761754,0.46660628698969875,0.5033151524925281,0.3563249349024429,0.3577148036502788,0.4511185941313657,0.30796120239223335,0.40173637687612923,0.358797374634798,0.5926387713462131,0.5007258553653657,0.32247100711285115,0.3210106059990758,0.3942613606596497,0.4282080106326171,0.38298003985648277,0.3643070730246006,0.4759228224818852,0.3549121197164391,0.396337888846204,0.3567351588613146,0.4015096894211543,0.451734478323024,0.4153374907118771,0.5022581725472778,0.42236215778140174,0.3753565395572863,0.593031997132438,0.3135465430459759,0.31470757196982935,0.324811032861043,0.31452841762752726,0.2820733115811677,0.2941039615612411,0.3227206736684113,0.2734410543721618,0.3679043891292646,0.34922526335826465,0.314376157435641,0.2630571587393659,0.2700660885515731,0.2377233592584055,0.2878636909956514,0.28724660025789944,0.2985533027405743,0.37254829566192715,0.32531937467682664,0.40766848064865,0.36923551735175547,0.3833949024306278,0.3925267229900269,0.4853121508360234,0.4467064234374529,0.49958134278242716,0.5818785750493907,0.38129791052959916,0.4096442158634037,0.313028897092882,0.3886549806112022,0.4191890997174439,0.3981062327675149,0.3566219643929729,0.3431035266832724,0.33960498100927355,0.29425240842766615,0.3412389778058439,0.32346577183200553,0.3381429405937279,0.3695374522012984,0.45154838278722226,0.57484690697827,1.1973636350999393,0.9773475152498127,0.4090174669429165,0.331459555294306,0.33752076902888006,0.30175246510843046,0.3785920916200192,0.3649599475910954,0.35001875815728223,0.33961956027632284,0.3652745775329858,0.3825522552601407,0.5788481006466764,0.4185737383670525,0.5135789921275434,0.556655024329547,0.565126607608893,0.41924680734636516,0.37458652834702055,0.4014390886342302,0.38863201225855765,0.3379743507861059,0.36802373964118096,0.3358600863268915,0.47442266309885905,0.3983812570266726,0.41509680199204735,0.3860054324775358,0.37440396979576024,0.3927084307644969,0.4007537288091387,0.44772977782698214,0.6437006076967027,0.7097465704289085,0.8545767407704475,1.0136986573852491,0.8747411804463993,1.0791398406683959,1.134948690023948,0.7992407251492231,0.640865588995935,0.5465539341837318,0.5193798793046644,0.5146991675284562,0.41812159170174934,0.4430174221156865,0.4874435656426472,0.39314975919322787,0.3879925907370248,0.3705202857906952,0.4032909104328963,0.38854077753639293,0.4090972210193006,0.6389677074964156,0.4631510947828041,0.4148474624794376,0.4636176172342986,0.5014018551189894,0.47536306038838083,0.5280317829749073,0.673116991661642,0.6251309117133154,0.7121961964874416,0.6085792136617688,0.6181888744113063,0.5003754886055187,0.4787610827878049,0.5107337123518985,1.8454353005461859,0.8265508731451384,1.3833767544688416,0.6097453830097341,0.6273005632301462,0.6475332015933136,0.7282130300555072,0.5104908986029839,0.47210506041450906,0.6721011007357718,0.686797655725082,0.6342029493615994,0.4989006396470419,1.0097606076711036,0.6133883581044726,0.6305814957860937,0.9117040582315458,0.4799669431106086,0.5107185126902596,0.5682801944202966,0.6239995047723035,0.779425498667528,0.8043646384252804,0.8606477711016917,0.6641125615463995,0.5976485716020034,0.7990620035210919,0.6695846363183015,0.4757019628139777,0.5783916325068942,0.6550750971843563,0.4803337857837627,0.48746556343239733,0.6166231030530712,0.8135402398906005,0.5678257198204751,0.5445009128068496,0.5254763190885112,0.44671471061800117,0.4218806044839932,0.46731541545114036,0.4292202660815251,0.44311050863536205,0.4235757874583199,0.4273180784268311,0.49251478356665623,0.44819431688524075,0.49503594175107124,0.6597363826009444,0.5789454774700027,0.5506317236183318,0.6574175197800792,0.7755401710815666,0.7427409890923589,0.7108273422874276,0.9522455122481083,1.1523359613971418,0.7599463104467156,0.7167173509884474,0.6420724967270013,0.5684545106286701,0.8742279474778547,0.63707234064043,0.6907102699766005,0.7930035185135387,0.5844580880852148,0.4805213773957714,0.4120342880939134,0.39557122243361986,0.3921337413250545,0.36747466960735226,0.40969506773593134,1.18519691330248,0.40073806164534836,0.417851387098274,0.4724247079964899,0.6094648078413545,0.43801710761972873,0.5835906533228534,0.924513448479396,1.4789386450320126,1.9626792145240306,3.510124703286994],[0.8431299718513698,0.532623154768278,0.48194415862718143,0.31494077264006354,0.3288105441345666,0.34114360073193434,0.2513313742105441,0.2371327756975782,0.17619418479301868,0.11342075245944598,0.17541311093300252,0.2698276766774349,0.18923527336962218,0.18046718680544535,0.2621192157042539,0.24451975523381075,0.3405532720930172,0.33465376236502126,0.3555343739139051,0.34313306792318043,0.3841859195881114,0.411562600214946,0.5305043164006704,0.6465905650380966,0.8235810038189099,0.521292530804858,0.3273068287508903,0.2913290179056251,0.28694926428107026,0.29184082578944803,0.32496600576755297,0.31752402856780815,0.3466200710974826,0.37994858934786735,0.31170159360866156,0.2915800588212695,0.29836157435223787,0.3086282146035799,0.27056631171103507,0.30879983367883473,0.4610181960543984,0.41465699710075427,0.43205798671406426,0.5194011549094093,0.7463346070261712,1.2465589309383196,0.9970426658579111,0.6093916561176292,1.3234933451210038,1.3669001990603926,0.7224063048741965,2.3855737463719375,0.9468007744506117,0.8270903903631679,1.53587954639321,0.8673414836328266,1.0829684356384754,0.6448397606619859,0.7289056712652366,1.4151862771759378,0.745680332659885,0.8808710817294855,0.9432250984347587,0.7231841584318938,0.4553085159455311,0.4898715189053795,0.6220165590293494,0.4627042389538705,0.6140255341598919,0.5107661283321258,0.7511159208186236,0.9083872159910027,0.6921925626155971,0.6946936170261672,0.47823766497369036,0.9785839668361351,0.4203395962004125,0.3668258747948872,0.340724601248823,0.4262512307932331,0.35069500684381094,0.5027934789459528,0.9980938189573721,0.42600735460889805,0.41717260607088724,0.31481061261489246,0.3349283661586496,0.4499452113866381,0.2953181344525031,0.42687322539949923,0.3616742320755913,0.5261152795056836,0.4559914438225625,0.32354477840627555,0.31776026984853545,0.38475288814695136,0.404572854409465,0.3692398483075455,0.34779058616954167,0.5107975137304024,0.3473169577580809,0.39460552147848227,0.30471985793520856,0.3675416961624594,0.42305218809193645,0.3882584967055111,0.5325162021310536,0.3583702718887752,0.35725397385847807,0.6289457560862838,0.2727128126503364,0.24292606076879827,0.23847581791406727,0.2698142991258507,0.23435331285195996,0.2659287440066064,0.33006824558688025,0.2696792825605891,0.35408284571302856,0.37743581289549527,0.31912169250596234,0.265749970102513,0.2813254445044606,0.28755318220605364,0.23190440898223427,0.25335958609158954,0.26773873204060505,0.3354790663308087,0.27032191538175104,0.343382094117203,0.29656083361988184,0.3378054586862816,0.3257506298778755,0.470138758461392,0.3985363772109217,0.44126086282517324,0.5487785996620627,0.3263377230956657,0.38152592082751385,0.28025858814934584,0.39104982560650864,0.38353123016876184,0.37045475582351417,0.32509798727324885,0.28816708462823126,0.2972792937081249,0.24111692897800951,0.2770502130514695,0.2611172784124798,0.2684969052807614,0.32161465337062806,0.4029615902881402,0.5880199685279005,1.3251503082426614,0.9942764282886035,0.39669528639428087,0.27138112061982,0.28736596707396084,0.24938980825525833,0.33998792117976945,0.3025941320985778,0.3171435520795016,0.29812341642119583,0.3154376442185437,0.34387752921468373,0.5553996464905581,0.37891469220967283,0.48977151462396973,0.553231847336047,0.5656333131942982,0.3934499727550453,0.33768940275774617,0.36481034902462284,0.3349890137149159,0.2765070002159614,0.32231959811461974,0.3130784262068313,0.5142047615721761,0.34366809922173075,0.40300150172002375,0.3078727256221156,0.32236233665489517,0.3220964754265351,0.327982896286967,0.390260210869849,0.6294733224323339,0.6587220003732976,0.7655038543291283,0.9868039262750482,0.837643196749974,1.039469486380638,1.089541965712332,0.7300218247995216,0.5901284982310039,0.46121766173845324,0.43002868721363174,0.473994742908011,0.33787030074547203,0.3710700313817232,0.4206821114488852,0.32765309251900565,0.35014784024363393,0.31304020440797664,0.34439826701757537,0.35498105236500477,0.38275982706881645,0.598094293204069,0.42981826306377413,0.4160764946696066,0.4485182686970618,0.48773177170624543,0.47575610055513984,0.5288160806680782,0.6958681725346197,0.6202520733385918,0.68033668302996,0.6044556467698088,0.5911149425447436,0.47828524192637345,0.4750227519769389,0.4902358422880018,2.01604504844629,0.8251039922664656,1.440123090545401,0.5869638601641638,0.616671726057627,0.6272369136253569,0.7059637677372621,0.473748708675553,0.39871208998826707,0.6658660922637616,0.6430769070106906,0.6307884513662084,0.4703825605139578,0.9778210127531906,0.5270139208519169,0.5661194081259003,0.8217746853748227,0.41267960318870167,0.43594278730813185,0.5373424417319709,0.6273415874259816,0.7910050257703034,0.8196064852273172,0.8544604385886775,0.6736891702163401,0.5904597249432545,0.8111558529109325,0.6610966563355538,0.47220945457502017,0.5975012096527763,0.6690123018277451,0.4936558725678451,0.508462887539227,0.6602916518869578,0.8084630941792229,0.5970275766127875,0.5846755720829384,0.541669178094034,0.4720146228767468,0.43232711329845563,0.46084528265785246,0.4455218705349519,0.44001521020090767,0.4229297546375018,0.4134452079387602,0.47165909963094366,0.40949594425008384,0.44280826632975356,0.6015844338172236,0.5352337413734481,0.5064281292153815,0.5925740277664404,0.7325848151607057,0.6940077141376052,0.6781553048684219,0.8535417400072866,1.093237497478149,0.7595948998871248,0.6777657879311841,0.6166416059702564,0.5322124080734659,0.8128652381143623,0.6112754831106156,0.6609536368750131,0.7662807268596318,0.5315195116074853,0.43681668032934573,0.35056196929303474,0.33220819340844765,0.33163099415654856,0.31891639961477586,0.3788573677390712,1.30483301737698,0.3613503944228289,0.38128435220859414,0.4708367899149734,0.6618501749454317,0.43385061748872583,0.5741963944361718,0.9643223166029546,1.4904229614387652,2.001699877709901,3.560884859523796],[0.9096761599766799,0.5525414694578678,0.46623894625194945,0.31601320807526334,0.3259178231959088,0.34263381116478603,0.2509984604161458,0.25982376014281033,0.22230503328033152,0.1990797984295997,0.17282244978460282,0.30043986391567223,0.20611060255343677,0.2022571041712909,0.30245461085884795,0.26695463290989646,0.36690890875825255,0.40458266916675917,0.4496221761540526,0.41932944432993924,0.48522917803714827,0.4863201655739088,0.5871524816972374,0.7164757533749301,0.7661424456068164,0.5779339227474176,0.41184091594805566,0.36659043329740115,0.34775688310984565,0.3364637565249722,0.36112925077665486,0.3109287856396336,0.37874252589471796,0.4075906279138913,0.3377351456107979,0.3436577077431224,0.30564789868836967,0.35463727810234014,0.34668414442244705,0.3762572599183179,0.5115358582545404,0.47425325912203603,0.4835174655950464,0.5391982817876801,0.7421497335144173,1.1997294518345867,0.965265149222153,0.6429645828149805,1.3919717740177635,1.293048823382255,0.7431199702308607,2.481861224709686,1.0943277481834799,0.943578913439319,1.4403621127836939,0.8314553430435789,1.0415728758459462,0.6997487188543281,0.8075356900580438,1.3326191675019787,0.8773797301981311,0.9973262807052924,1.09466399142053,0.8409015077368946,0.5259642525682245,0.5567598834568698,0.7088589883626063,0.5316361132619808,0.7060485401263761,0.5725491507637794,0.8467261448389575,1.0105820118653301,0.7456822042075071,0.7622337052608469,0.5372645188552814,1.0553113314767881,0.4781668417599817,0.4215992004230349,0.3851754262303087,0.5026179128472915,0.3877323448990741,0.5241422646927061,1.0451281425827654,0.4771383412353372,0.4434453524900104,0.35306345555685287,0.38000061122357587,0.45598089051616447,0.3547147959063293,0.4737343787475619,0.4182695133453083,0.5717451353567816,0.4877710420346155,0.3488203399578631,0.33254742846186924,0.41319709557100875,0.4044319660683142,0.3668935732753788,0.3574087610844095,0.5480646247650277,0.35156547967705365,0.3976032937897215,0.31648989939851085,0.37344122450107375,0.41592014691125934,0.38441842553442973,0.5362819722106981,0.35934638758621695,0.3434660325605113,0.6245820549014818,0.275165422728269,0.26683030663277574,0.2545957461243812,0.30811417862828494,0.29579327566751945,0.3314866528466287,0.37192924337663646,0.3397073024682229,0.434663188251917,0.46893879626586044,0.3970976760048301,0.3516310722039449,0.33924252076274747,0.3285060766014471,0.2516162741366313,0.2783114804067768,0.2774294383654203,0.3322807556838915,0.2818809393881656,0.35844531236294874,0.31240711528913834,0.35343264805813945,0.3494990439423059,0.4964802891448231,0.42199638154893887,0.4222465830865321,0.5486059455182902,0.36150197893418284,0.4272585471464203,0.3386499289780286,0.4330466989602025,0.44165971194013043,0.4196719473536716,0.4007270812441202,0.3429986927203156,0.36249077164654275,0.3094768910108801,0.318998626221664,0.29228415995408863,0.2626113945229624,0.3235131751572533,0.44644097639704133,0.616627990438269,1.435461953617429,1.0771286283024613,0.44604389424121754,0.29215645537968565,0.3083673881114882,0.284653013197268,0.3465167812359287,0.3431276526365767,0.3709914872636698,0.3479987169191827,0.347207818580958,0.3798475050640205,0.5443286980280064,0.4017749029704001,0.4794040518859894,0.5397250648595461,0.5608858250355987,0.40751106797900477,0.3679319828266794,0.3963561205838343,0.3529741594508161,0.31027472427920977,0.3395501004875674,0.3379691815748193,0.5485305621200792,0.3707356219754036,0.43828955007835974,0.32977221812117813,0.33085994294092425,0.34431478473829724,0.33796901406618046,0.38507796477132444,0.6442041918740001,0.6471684666238724,0.778438942653169,1.0230930425520877,0.8070833499355103,1.0547935445049537,1.1378032779663478,0.7448072582484738,0.5951888996885457,0.46771818156903455,0.44438492987601336,0.4979646183206476,0.34829574742309377,0.368449105971607,0.4245866674276,0.34418674435357693,0.3722319712372317,0.3302388863127804,0.3530895166133973,0.375422443064801,0.40140267840109944,0.6004169901407802,0.43530071494563516,0.44373822377995986,0.45995800102222273,0.495685979247973,0.4907988559754608,0.544339039853273,0.7183747990245822,0.6308104584537026,0.6776354901187902,0.6092862618554381,0.5916654002364521,0.48856932909517375,0.48917844991324494,0.4939977992392051,2.106814038140119,0.8205358760731325,1.4420375686243798,0.6097912331703416,0.6620463839687197,0.665817154185562,0.7487847062034206,0.5037296618510809,0.4141658663425645,0.6777162018995133,0.6649958373620093,0.6265135056115256,0.47104686501902354,0.9951577650900859,0.5028850580190947,0.5515250691910436,0.812523016000493,0.411937824123161,0.44713615159909387,0.5626887925467191,0.6472228480409793,0.8211060552118089,0.8603600595916363,0.8895494279654627,0.69763916760528,0.6274487288950656,0.8794340782056622,0.6972607527884916,0.5152237151681183,0.6459420737951513,0.7013791434864255,0.5304289167425706,0.5552975415398873,0.7000341103344685,0.8140027613985398,0.6240386391923481,0.6214001184235367,0.5622715304238921,0.5055692998456413,0.47475177831447124,0.4993817718503624,0.4706697088234872,0.45475144374581244,0.4407819809282075,0.4228655871286363,0.47574992358769946,0.41160859902221547,0.4403682988166498,0.5863506382042826,0.53090097788409,0.4948129848852641,0.5903918473161698,0.7149772020599148,0.6821995402353553,0.6738421849879551,0.8451147159211705,1.09276057295432,0.7645783034984279,0.6761253601578694,0.6171549126654661,0.529801358113638,0.8079271769811562,0.6129288209213645,0.660875623251871,0.7610814381292422,0.5320998661681361,0.43965352633124355,0.35426568644934353,0.3351877552189411,0.35455561064146957,0.3410565222237484,0.41718736728876105,1.3409981018517811,0.3819115548035682,0.4165197558560158,0.5306373317949747,0.7059433148220526,0.4597950207126896,0.5986787825366381,1.0116389155733032,1.4412572592304986,2.0557864873359253,3.662253917116739],[0.8642062995965898,0.5900115950067462,0.5731158154381839,0.4519356994887859,0.44701275984818545,0.4199744670236155,0.3854144253820642,0.36771938000303483,0.3373608914264243,0.3474633642860685,0.35966415949984454,0.47372068637255194,0.3877574462609678,0.37800745963825694,0.44591087460021456,0.43097599246380613,0.48008495823582725,0.4837930014951305,0.5153922696082501,0.4831329277259335,0.5561588677963831,0.5626683262443865,0.6851231469614926,0.8134658225564575,0.809251676759712,0.6543738188050946,0.4920072780321171,0.4388908266359638,0.4241945989334126,0.456652552954688,0.501852612061244,0.43826407491486236,0.5499498507197521,0.5198965378452236,0.4733590816136849,0.47598682824201016,0.42292778652553714,0.4508027973789776,0.4473681835273951,0.4736649874223254,0.5500219494049254,0.5094832505613501,0.5229011722696274,0.5821167506800791,0.8082036339447756,1.262038487164638,1.0878735937451693,0.6908944694964441,1.3982818828924697,1.2690198387722484,0.7549693583893445,2.509489249058508,1.1800835086981405,1.0437053778582341,1.391709875578757,0.7637939391546923,0.91325489245493,0.7775588851619277,0.8549036297760368,1.298622425147406,0.9686703275857791,1.0473187053179767,1.2252240255028966,0.9898438975955811,0.6065092957786384,0.6545960359444823,0.8117654920948839,0.5925714603251775,0.791543833993414,0.6204106073529441,0.8325781366352233,1.0165871342080528,0.7466235689143859,0.8582313173179242,0.5909657292307752,1.1808139372672337,0.5538784548936044,0.5206119022881637,0.4982615610307427,0.6180464993611631,0.49221663166795404,0.5509598839787203,1.1406440071742157,0.5496322142155566,0.5219281605395716,0.4432307155918397,0.45291879780171007,0.5383929187197609,0.49299671922687766,0.5725286178336941,0.5083450319760059,0.7360417021844958,0.6645616017203819,0.5438828307870269,0.51084056939029,0.6137721516108315,0.5420631484171622,0.5098953701733072,0.4914076469738524,0.6417537666306903,0.4800917218683143,0.4906603594461435,0.4803279068208032,0.4922678815564355,0.5070233289037963,0.46441210470980143,0.5998028117006718,0.43518430626115595,0.47005942887380325,0.6916418176650223,0.40445694949731653,0.4001085640283983,0.4078023921216946,0.4396043097648681,0.4316317062716424,0.423349118992508,0.45010923896435046,0.4434028132201087,0.5466188301435507,0.5376439315512556,0.49039671719895955,0.508494094516781,0.4269360472604765,0.41367623484152727,0.4098073878702399,0.40868429635710984,0.3857772541912738,0.4708967970763799,0.425730388128452,0.4602810658427995,0.4273631352776495,0.43853867788620937,0.46625213318189235,0.5860404860899912,0.5248586441208837,0.5489746492517148,0.6153288531143712,0.4711581719875648,0.5274004533938202,0.44092884676369776,0.5554104186065068,0.5367736836989306,0.49521271220230845,0.49749909170785744,0.4440471806007701,0.4571426258024703,0.4214300556153132,0.4170995153441404,0.40727969413983345,0.3998743590707587,0.41675300285048705,0.5299924069146591,0.6774557941696822,1.480624000374335,1.1166237557404044,0.5455968036304826,0.42900466875904664,0.4243949705340761,0.43704826266700136,0.44442632378010016,0.4448891667996456,0.4525856687040214,0.4293735682919186,0.44513557659686154,0.45346566562791557,0.6416919597547521,0.5213313368239898,0.6110078775141659,0.6206984985399414,0.62972587603691,0.5072965777874335,0.47688053623001964,0.4861411923763804,0.45087123002754764,0.4139051379825651,0.456172458690825,0.44690210696235916,0.6103079710958597,0.465996446391815,0.4950015012532126,0.4531629970219417,0.43179949134231366,0.45597719076745724,0.4571978817306932,0.4963066782099234,0.6757164594935188,0.6820447869322427,0.8351055331441729,1.0809976222606363,0.8474064146695275,1.1156996114921212,1.2647874452665613,0.8951137815751293,0.7197066989143776,0.6127348678642874,0.5606750423958197,0.5490857727390198,0.4649345350046626,0.477200464363383,0.5058537322763836,0.43356055231551993,0.44891439831476077,0.43264283917964963,0.46040552220559355,0.4538052572502741,0.47237476242435406,0.6794098234414905,0.5190800339559801,0.49265028811303946,0.5228165179266567,0.5617716203760037,0.5452952695921257,0.5850766344223096,0.734914998579374,0.697281974417201,0.76232898524418,0.6747853503703867,0.6969291282608497,0.5768715611651507,0.5581298281477958,0.5744716243313507,1.981356302050144,0.8661158560505821,1.4731042927862386,0.6599330458081643,0.6660140781616993,0.6922217691995264,0.7642235078646545,0.530060586161904,0.4682077410518528,0.7319320262787075,0.7124254524979862,0.6903977510260612,0.5628498589426278,1.0438241727123272,0.6237010887823897,0.6419892144771103,0.9027531142579135,0.5197546213882113,0.5267952223358624,0.6274118100962854,0.686729447467922,0.854779111547665,0.871339770844945,0.9271301742367825,0.7336995226483192,0.6419195160089392,0.8632553439269501,0.708333616183147,0.55890802764914,0.662950617985622,0.7162945826527686,0.5652371672673578,0.5817521311006285,0.7048995894233955,0.8170989726773045,0.6422585627488941,0.6394147297830072,0.5969653333388599,0.5450674668852663,0.509265440792769,0.5331749685382088,0.5047197987243277,0.49564497904472427,0.4695854355576148,0.48208913753289484,0.5522796670892304,0.5007235158644978,0.5371532232654204,0.7287026677931561,0.6503413585012999,0.599629501840798,0.6973070569323989,0.8310302049215118,0.8130570482893137,0.7785301064977355,0.9581936284471236,1.167050857333116,0.8571884454392048,0.784476683970596,0.7091592211810318,0.6287032572114466,0.8913152545732166,0.7116159896955808,0.7892306702585234,0.8893845964069538,0.6700208512891013,0.5501045182419992,0.4543284353642235,0.442070806320577,0.4264738593261214,0.4304620927104824,0.4818181020436038,1.3260019618463308,0.47724493185552785,0.4893382373078691,0.5700521792412213,0.7328366808903622,0.517666435974318,0.6354881929836895,1.0458307229119628,1.5178297162319045,2.0340949029630306,3.6310814820566137],[0.8995439307905976,0.5633302614921051,0.4425139142378081,0.34306090217138896,0.3578525593781723,0.3832634566996253,0.2758928880638674,0.26597877254686364,0.23077481559379184,0.1948575843555858,0.18625131722103158,0.2848359017041383,0.20847785891124587,0.2084647088009137,0.3167295458690778,0.2833331561247781,0.3608475439889353,0.39095277397144157,0.43726401733437714,0.3954038682485056,0.4630102290924535,0.47526061051237617,0.5868635185205273,0.7261375602145724,0.8240121391313047,0.602175723880087,0.3911698717656295,0.33778627453518556,0.32571940005634575,0.32938659123558806,0.3758309738113228,0.34338767353306154,0.39610061977323,0.4320673131698866,0.3503786279633832,0.34203168316979365,0.3232050229596431,0.33352297709159284,0.3126252204861475,0.3499660712373297,0.48293855094415106,0.44865757651623384,0.46165615660172865,0.5436034436166715,0.7849415912291726,1.2651485108313354,1.0603375233044958,0.6387086193223425,1.3466749450372422,1.332062377228343,0.7404487102643336,2.4118983737919586,1.027691054993894,0.8944323816593551,1.4887477958719482,0.8366012793431177,1.0268290308036372,0.6851236010190727,0.7853548624808142,1.3486389939345451,0.8595220673008195,0.9840105840407442,1.1134956097756656,0.8819248865635231,0.5258611599825657,0.5612039583970623,0.7192115828583875,0.5184241830210804,0.7166369347772511,0.5692216481207986,0.8129059719565622,1.0115226936495907,0.7445119335157897,0.79571132399191,0.5428532156215554,1.1114122926455243,0.4826941567130325,0.42649559471230225,0.3840151545111489,0.49058808069309906,0.38782507793327525,0.5152224271498431,1.0216561667546598,0.45521723528741315,0.4457550677917393,0.3421900068271773,0.36085917687708974,0.469424597418786,0.34563394167487643,0.46746824905269846,0.43548065297858385,0.5931903651803776,0.5078919142523546,0.39205847342962535,0.36473547392028305,0.4480311833064532,0.42668638108360285,0.3883576043411754,0.38682564938605113,0.6039304652239735,0.379037665180848,0.42653329078323615,0.32926696415926415,0.37101089333458953,0.43228379689754215,0.4113200532287801,0.6038830028819185,0.3713191657101782,0.3850685720178313,0.6626818977860164,0.30674853908296,0.26132976863300145,0.2607662977111076,0.29694666085824695,0.27871135241592604,0.31101783002556704,0.36708653401440167,0.32969304208105094,0.4609715319488123,0.4528224645412916,0.3997570866529037,0.3596475235656997,0.32288158184565324,0.32549221695947833,0.2824711802920732,0.30786077011956337,0.31613837192109934,0.3686443566955609,0.29930418358807087,0.36820125756715405,0.3349445025829043,0.37939781059588706,0.3410842787091779,0.4892816711070773,0.4128546173245855,0.4649010268516498,0.5980901699395785,0.36729409711134653,0.4087066308993573,0.32882745311687783,0.449644089469247,0.4684667319330272,0.43222386555299785,0.3833933297204852,0.3337939448516228,0.33231399527861477,0.28117441576329144,0.30211214718789875,0.2622618583559774,0.25596092325340997,0.3352838350257185,0.40492850870299085,0.6464449251017833,1.5058657103005,1.032079374765447,0.45031709004744913,0.2978252605650214,0.29730219942995645,0.2817689203271665,0.3498766400692484,0.32342654560038825,0.33078117041282995,0.3329043218267496,0.34346638956720965,0.37647012206661723,0.575376168694313,0.42505455790048385,0.5570568990131645,0.6020975947259095,0.6140089575010521,0.43396355435601375,0.3643601160909515,0.38204693853364335,0.34686208575349164,0.2930613119848818,0.32822973638305425,0.33732164629764116,0.5464986518652319,0.3439889086577696,0.41922891911787163,0.3210637234528544,0.32897099510084227,0.3324244875976151,0.35376427080567363,0.40465205581638186,0.6485898414624988,0.6748858728734579,0.8007287807267811,1.0408534518175088,0.881997363570656,1.0962629364362781,1.1007674179941116,0.7537819543223536,0.6065198251581264,0.4769491557690378,0.44975316094050977,0.48253223456248195,0.35795283984264636,0.39458765478145474,0.4460660320359956,0.3555605951451779,0.3868504906594326,0.3570088790499869,0.3843439354817209,0.39845966058772975,0.4200992124194931,0.6393619450314598,0.46277404702529523,0.45429607062319555,0.4682747775372057,0.5218883208797445,0.5128040527702441,0.5454426557083828,0.7065368048349048,0.6550719062594819,0.7021551577517451,0.640746369680769,0.6488640534127076,0.5306862931808144,0.52420692485487,0.559558481873293,2.0456494374807175,0.8933532072392166,1.5087825344134533,0.6105739973503981,0.643735156510999,0.664224604238471,0.7166650144012298,0.5063687506010253,0.39827049976130297,0.6924890716077582,0.6515328999353583,0.6872306970496426,0.5155574406625274,0.9661695186713287,0.5959507497614521,0.6078792208770388,0.8574542437202005,0.4539902899289987,0.43760499787525914,0.5366662491993031,0.64673228720471,0.7964836744786749,0.8697840874481553,0.861766479736783,0.6940843444128872,0.6211759900412016,0.8406263866293711,0.6949793628611094,0.5104026433826784,0.6534550555017096,0.7231956730489194,0.5390621469460692,0.5675142869757922,0.7372885626387775,0.8146015572973081,0.635123750715581,0.6444341675889216,0.5847370722004328,0.5270727025687821,0.480069721284492,0.4956577639617995,0.49882806508099314,0.46875437949159565,0.45826314286637027,0.4516298645341925,0.5037767839179232,0.43306105407226614,0.47431559712087984,0.6376423377530774,0.5550449729440503,0.5374191935990662,0.6134068372324313,0.774117874869519,0.7264637393975997,0.7120551195047727,0.8457323039974809,1.0785935080164981,0.8538552717758912,0.719077576416633,0.6470542166093255,0.5506424542730916,0.7978992584954365,0.6763256401431674,0.739440484003409,0.8102757867845695,0.5945102188340649,0.48708623679155905,0.3861566037938862,0.3677985542404226,0.36604085430741695,0.3608698232565845,0.41709213290734337,1.3511756671130475,0.3860403763330768,0.40840903039531007,0.4995344854802602,0.7656367891319983,0.46464977412953423,0.5949408452234604,1.0161023507020275,1.5713415408213876,2.056664595938512,3.5224554733162075],[0.9849602797186162,0.5894547106981829,0.43392732070570283,0.35476965664654114,0.3288317089998427,0.36518383132155985,0.23826187906875643,0.24620068453878213,0.2113940584250176,0.1623183885873671,0.19680905319356032,0.27953962834790774,0.2151118194155958,0.19730277646538213,0.3782335138998987,0.3238718133383668,0.3466835528610884,0.3917458172922263,0.41100403962118626,0.38756439215206373,0.4504624373925982,0.4437202184333103,0.5394630434390089,0.6764817403124803,0.73688486010845,0.5267214737050996,0.35858859012864824,0.3291261673145655,0.34196207488871855,0.34931382666433036,0.3947065032899967,0.3819466642400504,0.39976141428537526,0.4354373672733629,0.38486931101288924,0.33992493674899515,0.36145493842967064,0.35224753568471845,0.3149479217211521,0.35473200724947085,0.49367986514484835,0.4351458384565792,0.44706114992822177,0.5064568909955187,0.7100668902691845,1.192940155200128,0.9129819715548777,0.6012535989700905,1.3864343560442978,1.3485386105596548,0.7449042576747753,2.496139534009583,1.0691443913300576,0.8979146947657357,1.477690402098203,0.8667209326690891,1.1035280824721405,0.6833368035526917,0.8012663877551832,1.3151198913205275,0.8330685559038687,1.0383025831505162,1.1029350533633737,0.8257015863802707,0.5086555988384254,0.5275968042176647,0.6809678991702447,0.5224587629347959,0.679217107554481,0.5715697678502835,0.8490335193838444,1.058345193628478,0.759392984350214,0.7354839744143712,0.551582225126766,1.0464807923423602,0.4851902411668016,0.43673315691967884,0.39838005955016675,0.4940468974521201,0.4156837644926035,0.5090432729847851,1.0615933113650415,0.5058709599822784,0.4202517646132618,0.35056025036573557,0.38050747415623654,0.5088673665307322,0.3576297443605477,0.5048970196028896,0.43499109273195136,0.5606436439148228,0.47313597953061887,0.392257447744053,0.37942548919878805,0.44355355610378766,0.46532287301920355,0.3944091457709319,0.404468618021155,0.605442178849078,0.40826178781381656,0.44873736354760535,0.35626286606072005,0.38936433030711665,0.43510277729883684,0.39936440193332007,0.608758790075227,0.3438033669382981,0.349068624728926,0.626555089885695,0.2772225338774465,0.25099981363107376,0.2308563323543106,0.30608100116260784,0.2769855646620548,0.31473279431388235,0.3439726059927843,0.302483197601207,0.3797502126808317,0.4313664543995797,0.3481778252328606,0.30820107963998067,0.3182768742468019,0.32410128908766084,0.27640462640092384,0.29099754820430285,0.2876305676208776,0.3277487469887498,0.26294443645809334,0.3383290087698256,0.30579085400181594,0.36120397767167534,0.32241544934367516,0.4819668909634818,0.4061144310196089,0.41415881934385995,0.5532551970431109,0.34682764613222256,0.39860646733653915,0.3190451955479973,0.40236602010231065,0.3864726191896354,0.37514722224696023,0.34345935714666703,0.2957381357488407,0.3392719381506258,0.27193665313892285,0.30951625628866924,0.27657592238679307,0.26643786398482894,0.3234991002622488,0.40009554765433714,0.6515103588027299,1.4986811958087372,1.0419400733734219,0.44671101293895316,0.30450744956130965,0.3092433354270763,0.3161265503977125,0.373190149692122,0.3097644246687405,0.3551050457012237,0.31920155214183654,0.32167608306322093,0.3567057355852888,0.5526024081982976,0.3924200825129203,0.4808666329644446,0.5510965747491833,0.5717600154027899,0.4071238690613068,0.3485146695046002,0.3699023815312652,0.32132823408404826,0.3016646345747918,0.35444760806075915,0.35890295082552404,0.6053189508936436,0.3672396362571928,0.46750236601755907,0.29995501805057023,0.33094652796895907,0.32684597738295107,0.32914017096154946,0.3636311680757006,0.6358173772028394,0.6340839640630207,0.7484304065784414,1.0032278039914573,0.8094092705270508,1.043311227488336,1.0980625696600224,0.7139652746855355,0.5714144741949903,0.4122753661396893,0.4047537675576396,0.5059503306765655,0.3359924634584708,0.3600652222719887,0.4008789499486134,0.337083291000432,0.37823011342886376,0.33390772485563447,0.35735463310851656,0.39048340161154316,0.40939231009873084,0.6030015826295148,0.4409459603741917,0.4573032268388805,0.4664963475391274,0.5108096915625885,0.5150056173714093,0.5639767658749986,0.7378559391525942,0.6492642872531269,0.6817812352659308,0.6347282390336877,0.6119118554480204,0.5031179505593284,0.5173504423557703,0.5166233983389008,2.23074842198124,0.8513521909775238,1.4880390760613025,0.6296840458428701,0.6970808006062496,0.7019675286376427,0.770678421731088,0.5386051413157851,0.4129039802427856,0.6997277411471378,0.6550249493942027,0.6613128827332208,0.4945338798814845,1.0039013826299847,0.5086960986404871,0.5589225737671928,0.7915381805579649,0.4070357974125919,0.4453863775239491,0.5677375298918491,0.6651011728933885,0.8225384605518755,0.8982817132664956,0.8926941265528449,0.7093589034079252,0.6500376483997634,0.8857863818965293,0.7102854735854721,0.5273791033902544,0.6623158022646817,0.7086495418577751,0.5434464766820636,0.5814037830972226,0.7215948522317094,0.8090880327876813,0.6493232699692504,0.6557197926196381,0.589843071504472,0.5311398470281569,0.4908057117376751,0.5063054094164037,0.49367263012081,0.466190162673973,0.4649491280754434,0.44211051381983313,0.48910986437313575,0.41628821622430395,0.44795490163046675,0.569055348467213,0.5400396472532648,0.5002618633288656,0.5928239510715403,0.7113222600231894,0.6844522743128807,0.6794735919398981,0.7912338834501093,1.0552091725056814,0.7942046621527394,0.6865485941355209,0.6324103320496025,0.5474031290614618,0.8006078023309684,0.634168016404217,0.6719920096894869,0.7657251726074519,0.5254445981237821,0.44376280150461056,0.36077092141948536,0.3383193310856258,0.36371939935413217,0.35019986173648365,0.43980516060053737,1.380136554673263,0.3821878979644012,0.42373723131697816,0.529203778925473,0.7477656378797349,0.47526841935032016,0.5946799212525855,1.0217128258633525,1.4454447257418839,2.089935618858818,3.683909141256456],[1.040607480982483,0.6339525721810846,0.4917653505929489,0.3756186383255848,0.3764671305113804,0.4335022753291176,0.2940577273740693,0.3414148924642229,0.29185280751160003,0.2488907186492871,0.31827546947357344,0.4251643083418497,0.3521962057992878,0.38146559554361187,0.527096886317289,0.4784670384855711,0.49302968646540224,0.5521870884683023,0.6174837285825959,0.551376101705368,0.6369278079716497,0.619480645865932,0.7413213643915246,0.8818230586024085,0.8255721893139625,0.7290042393986399,0.5501266171518506,0.5135756947597326,0.4923429104162857,0.47368756103886983,0.5729151463750669,0.49983218123840384,0.5554824813852096,0.5665016877183439,0.5197024482082183,0.5133699587082059,0.5003049804149565,0.5043966989488472,0.4742954602789772,0.5102491773345559,0.6208478069757427,0.5768984804670131,0.5620026617901841,0.6316426338642909,0.8184228761831727,1.243554838438135,1.0163790477040442,0.7146270951332092,1.4472200101710317,1.325756118192354,0.8067310674200876,2.610565933146019,1.2490797346407052,1.0806078615594834,1.4322792453862858,0.8360417563292087,1.0192576203975803,0.8162036178626889,0.9426091234326486,1.2238718347854756,0.9957987011591188,1.1783961796977716,1.3441120633077615,1.0603703478176183,0.6999719001980818,0.6757710624919353,0.8323481382321735,0.6692217482611257,0.8665587978043217,0.7173324940328318,0.9943781183868132,1.3113323495611324,0.8927576490246495,0.9224738014532495,0.730480171986324,1.2928627819441434,0.6601621105181568,0.612805869475215,0.5751274475161894,0.6459015348704072,0.5498291927572566,0.5700519488708946,1.14594209887398,0.6446677316523747,0.5336274634677868,0.4668731320437692,0.5032567739116837,0.6216541113135169,0.5245173807198645,0.6184881487851948,0.6098828081230543,0.7252871709680329,0.6512251514521328,0.5587757889580829,0.5376289700937394,0.595129644319829,0.6022956172252126,0.5069079274431574,0.5160173858300602,0.7524378916470612,0.5134017277707931,0.5199824389105923,0.47080403203524773,0.4571402450396221,0.5119894465575577,0.4490543318324196,0.65011950585417,0.39977684443562633,0.4102121838970429,0.663389738176569,0.34704047184728276,0.3145216185871396,0.2842243316375795,0.35690869883596693,0.3692395011201904,0.415746119726913,0.4942826346329011,0.4692045413124423,0.5977942385015126,0.6412673466765956,0.5654718595841969,0.51664165311024,0.4582324699876859,0.3896676648596373,0.31245544033238337,0.3291554613105001,0.32789900421769047,0.369676560938406,0.31196600527281887,0.39375309453245877,0.34660956429529916,0.3950410750530391,0.3719491302249355,0.5293417600081571,0.4506825433309916,0.44996273865805364,0.5736602918866025,0.37210837991333395,0.4500319538135611,0.3983204793114186,0.517019132629701,0.5129125363144205,0.47562896372147745,0.4711051387724264,0.45680258041407745,0.48216250610524924,0.3996595379019515,0.39786292810412943,0.3593179519405133,0.33718656256585455,0.40596989864395927,0.5017223134490697,0.774303816506029,1.7034904603686984,1.1388273246449583,0.5839926685475627,0.42677312333243644,0.39698560388507453,0.4216602911752069,0.4252986244827678,0.3849803651385072,0.44347791067165593,0.40400213048608613,0.43152635606269046,0.42390703130772456,0.6130125660584995,0.4579984520538597,0.5338083030035727,0.5885638990163086,0.6098840383174472,0.45026839768231547,0.409283041919436,0.4359577294921023,0.39145912560612167,0.39163418628995256,0.4365288493283173,0.456093685064187,0.6557544462078976,0.456874230266449,0.5375847582880329,0.3804318852954049,0.38568282064232917,0.372295138963877,0.39136192133611325,0.4254712233982514,0.671975850161504,0.6830295863380597,0.806094355622428,1.0817528713269957,0.81937656190789,1.1086346153877795,1.1550894691535858,0.767833494851967,0.6129049156756634,0.4558809991826777,0.4245751909509799,0.5150542226125765,0.3729191271104428,0.3996690905932402,0.43508291017411027,0.39712026049498445,0.45759537682299206,0.39688539674175255,0.4182059855474885,0.4679898753116683,0.4855566693341368,0.6391103047808042,0.5089066222760733,0.5551375082570357,0.5362390801871052,0.577310146615497,0.6133434034010445,0.6625356183234916,0.7748152904667205,0.7224584997088944,0.7276759588049022,0.718477167321446,0.6780884891399197,0.5761221773771634,0.5891847831425391,0.6002975776706808,2.284233079264527,0.9429851075324658,1.540408614936274,0.6844322681045755,0.7516452191935028,0.7530518293472038,0.8171994866674727,0.5895269071841964,0.4703539282709117,0.7454363646321135,0.6907946217429105,0.7060520585395857,0.54006748033443,1.022851761228485,0.5382381744818935,0.587301732155418,0.8040482588248661,0.442055309963463,0.4833453742653407,0.6201065614082992,0.7250622735485147,0.8789181265837356,0.9930730575224325,0.9664094277212152,0.7734725348874953,0.7494626537438437,0.9856061737474923,0.788431227620491,0.6194999741444891,0.7725439462329046,0.8086262381865355,0.6571646123833309,0.7085259273178267,0.8423404414067511,0.8931094502990593,0.7667669592973385,0.788087710320859,0.6981102965095749,0.6428784793926283,0.5888986494349979,0.5883223939300526,0.594588918948131,0.5468718755783537,0.5444900165577692,0.5180595188090034,0.5462509642362777,0.47787761622235436,0.509714681587353,0.6273082730696234,0.586980926019783,0.5456462401669131,0.6355836579878941,0.7585177034735923,0.7272454998024526,0.7237985851505774,0.828627694297889,1.0760134725552728,0.8712285954604727,0.7395248018409637,0.6785647113330481,0.5952291955327295,0.8279821825987278,0.6876160878591832,0.7312317782108076,0.7953462750123298,0.562411642413582,0.4762695478331982,0.3992648345720768,0.3795398344641378,0.41860478776415294,0.4378200622290678,0.5370708510441653,1.4419284288993657,0.46284707082180243,0.522665652197215,0.6456756301977434,0.8401215322845551,0.568365167990553,0.6972189170027822,1.0977445522789326,1.4972922858053976,2.141515351244354,3.6499625933640987],[0.995510173455311,0.62693327313022,0.47935552525839464,0.37290292457929863,0.39712260862016074,0.4254444191116867,0.28693837363598634,0.27482959669881635,0.24111763237709488,0.20040089973545183,0.25357355636733275,0.36402399990333384,0.2786238566183736,0.2899814707964763,0.45557063281657295,0.4159753533196316,0.4153778537945428,0.47868918447889863,0.5302435655214424,0.4770560921144872,0.5677099063701044,0.5628652553070269,0.694831977235793,0.8333932620394681,0.8116720772694787,0.6781169164486802,0.47072330709483057,0.41663905422712894,0.4100394966256993,0.4111290056235741,0.5290240389098266,0.46247677590481123,0.5499818279666957,0.5624846700066268,0.4878981511107592,0.4584544596135791,0.4358189623241154,0.4275552050322143,0.3928057915937446,0.4333233765130412,0.5392572351383054,0.510660114274738,0.5081099303230743,0.5723159253260028,0.7978701350087377,1.2504619053449193,1.0393671426391493,0.6675789224448062,1.393975777082805,1.305127459944844,0.7630135162440732,2.531574337109596,1.1745615922247128,1.0081744152390448,1.4209426362254436,0.8007402440165153,0.9840712035260553,0.7717300565642387,0.8944987945268796,1.2360807611156188,0.9635640519566451,1.1378661203285843,1.3266600706652436,1.0571730681458333,0.6519275087365811,0.6505328388476592,0.7929194075564373,0.618969095056481,0.8310078928004387,0.6599212349567309,0.9090911104331915,1.2308055701286735,0.8419227132436518,0.9103562301465085,0.6876471058174973,1.3134775545693202,0.6241646247395516,0.5964026816283451,0.5423795063139161,0.6060702674897586,0.5024821998027101,0.5407394719624994,1.1005018436660046,0.5589666249968905,0.47447627283416977,0.4036617000175286,0.44440447597722554,0.5818780556510555,0.4743823782809798,0.5959588958855143,0.5868830689424887,0.7330213616049218,0.661920127812191,0.5653502836479571,0.5220559421471955,0.605575786914277,0.5728534746443121,0.5042512757707394,0.5012888274495714,0.739683341636331,0.49250610069863476,0.4809906269478993,0.4142896649414445,0.4035157612859512,0.4450827078069572,0.40355552981366666,0.6228516003389394,0.3712853906187635,0.4007313498364542,0.639236619764567,0.31940746794128316,0.2651629290128317,0.2533801324514293,0.3220876578756905,0.31630959278344783,0.3500307864229366,0.41642345183871227,0.38785456113992994,0.5115864515993562,0.5480652321245875,0.478923247041848,0.43421182439611045,0.37028551633641626,0.3473270310595237,0.29972106756632205,0.3229740000863821,0.3290885630079427,0.3444765056120596,0.29351524738838364,0.3563437929984685,0.32999152232432744,0.3757462668473282,0.327886963816953,0.4721195269086475,0.3981763841274819,0.43218712790475455,0.5810470257826748,0.3741345707019136,0.4329396435373127,0.3455621735875067,0.4829330520835132,0.48224327921586263,0.41311859301934584,0.3985400662161581,0.36713438363187556,0.38691918843532275,0.31216465865631915,0.32778616535490374,0.28920580003968444,0.2661499723856266,0.33779591845455065,0.4194433558796847,0.7175683669777899,1.6544977327662906,1.0685000399855762,0.5280389987241896,0.36431449609911665,0.33622834282357217,0.3560892010778373,0.379264167301509,0.3288350722756437,0.3849120280449466,0.33606718788646567,0.3561515959917284,0.37136843250825907,0.5842801182798375,0.42287447163299763,0.536387241736511,0.5804815840176697,0.5926535348585867,0.43026238194579874,0.3659074276132999,0.38573202973667786,0.34369238826887816,0.319224925914083,0.3691179334405682,0.3925453967531371,0.6096932010451744,0.39808196630969694,0.47160808998060444,0.32289711788335196,0.33017045413977053,0.3292298855234994,0.3430686544538669,0.39345700553169694,0.6536275656481002,0.6658337117746191,0.7857979384961533,1.0515366120449057,0.8334961484078763,1.1005916660893393,1.1229662255897597,0.7374426327978646,0.5949171440052775,0.43589331308159285,0.42178518468463466,0.5057535993574537,0.3557567413039474,0.3930396427960186,0.4498552341212315,0.3713559080848426,0.40569653117767573,0.3742252080872372,0.4095443345540638,0.42387143570219643,0.4345174600858367,0.6448329849305151,0.47771877826210385,0.49546836720191983,0.4883686108862021,0.5436276863745343,0.5633298243272582,0.6044657689110545,0.7306336720468142,0.6929162270931277,0.6988600862350838,0.6758763379981495,0.6851430396936151,0.5597441748461343,0.5569045855729393,0.5900348855301473,2.1889370504243746,0.935116715876795,1.5388806156361183,0.6403090453239182,0.7107583684051451,0.7182340540307881,0.7491020422307679,0.5564796961931161,0.43866781936602195,0.6884362754911988,0.6294345360526361,0.7119382772084236,0.514725860817181,0.9540489623469388,0.5684611904385654,0.6080053326568212,0.8402011262844749,0.46275508514764696,0.4483851989168433,0.5674949005878998,0.6765009654063989,0.8297967162936707,0.9366418625328544,0.9211710245194158,0.7320342503168418,0.6902552317245698,0.9417842178907481,0.7587218163511186,0.5696869122242915,0.7241700571075951,0.7725457145654421,0.5977774646792605,0.6446323609694181,0.8028394591983226,0.841110861865716,0.6961634653022083,0.7251955126623695,0.6389023303330514,0.5790564026430286,0.5319151492182633,0.5341396591227705,0.5389529739451654,0.49688088786013046,0.48907666438040837,0.4771438201354909,0.5167967343859933,0.4521404132663951,0.4805246981936571,0.632682906969976,0.5774703762961569,0.5563019967097373,0.6331406394137894,0.8004697950148655,0.7510233641457693,0.7540769545062364,0.8674536710895882,1.0844284094435186,0.9404703684013946,0.771823901214119,0.6822788765568583,0.587815927420871,0.8296586755415437,0.7440949240583861,0.8067019382410486,0.8552563783160844,0.6252436875788918,0.5250753409512497,0.3888136959136901,0.36894985905483885,0.40556324467329835,0.38936507636359596,0.46801115998342396,1.407111031271098,0.41404216161586227,0.464237572184091,0.5808336909172327,0.8211023994650992,0.5137504391412757,0.6418706379432629,1.0364980401706456,1.5413331990346175,2.1506965861515943,3.5436769178497194],[1.0192313754630375,0.6320779285543222,0.47556583744082837,0.36909368631573614,0.4173903205169886,0.4314700005814223,0.3134871981768615,0.35857460536453745,0.3254422750984356,0.2877058934195584,0.3218933274428485,0.394851158144795,0.3288960878495115,0.3135000194931396,0.4517676913538437,0.4081223160059014,0.4136816278137773,0.4462885107431581,0.47659026485897543,0.4411110342083223,0.5299159418153121,0.5210944913330119,0.6053098483934545,0.7288486433782098,0.762612303703983,0.5775179731139658,0.40326625621913376,0.3659076483485463,0.3959090370742788,0.40559757503535665,0.5016647221116785,0.4763559588670586,0.5153923251858346,0.5300723379378638,0.4700003249576938,0.4211664459702801,0.43400432624907703,0.41019809812308056,0.37248095864999253,0.413205467920339,0.5093471681954118,0.48749047293590236,0.5009847541598148,0.5574131784177676,0.7560145771880538,1.216455369956859,0.9802825604870313,0.6586141459945342,1.3466354156966998,1.3436754513690248,0.7345249544090915,2.4341203626582804,1.0528328812407732,0.8713721414809042,1.5085642931731895,0.9238112686514541,1.143561342964754,0.7495216230151023,0.8736163407651915,1.343652574075305,0.8722368089510807,1.0745187812908108,1.1981989198946394,0.9038681603257859,0.5813719785115908,0.5843503050637807,0.7550048180712957,0.6017778023364878,0.7715150065314603,0.6259908235180359,0.8993539319663049,1.1886656873293453,0.8264980752831373,0.8542992881274282,0.6325741721907552,1.1555747554363716,0.5811811601735648,0.5405398783183024,0.48248719758927455,0.5678521816811315,0.5031999313153243,0.5524878851923846,1.0994561354876893,0.5582575054209603,0.4517077831110246,0.40779202710248763,0.43661127279896544,0.5691604696226222,0.42967659238994327,0.5502018372424965,0.5320792277269039,0.6528422069302007,0.5820538510611152,0.5185987305490899,0.49288765382016986,0.5752640697250805,0.5602190893798249,0.5041664443401639,0.5198666375001705,0.7359452646957482,0.49667053912193837,0.5354351628811476,0.4343327598426255,0.4796043174317802,0.5021243821702694,0.4933156386497792,0.7336842287463051,0.45984747074883325,0.4767320216783447,0.6975234331248718,0.3957352115296671,0.33321050368469163,0.3208151075561898,0.34586597853223794,0.33407643641578144,0.3607892847951001,0.3963686918870323,0.3676785759409165,0.48450695043076863,0.5133009105849778,0.4422183527025219,0.39106194522302135,0.3547571072218857,0.355982642760996,0.3190622723432725,0.33957960522600694,0.3698792137633627,0.3842926803471986,0.3571416080280101,0.410237632281586,0.3754268922260429,0.4724593844490821,0.36612706082849406,0.5058692713562665,0.3936555134816425,0.4328880452044895,0.6005690662612623,0.3657059156598267,0.40700219945454796,0.32912719766877774,0.4313947487762984,0.43865039696115626,0.4277438221325401,0.3782153842591696,0.3468635311898858,0.37752686092821897,0.3133609332748827,0.35617413402868103,0.33406915239666096,0.3671893555758696,0.41401767591890265,0.4519637331123215,0.7569019545277504,1.6234289281071934,0.977240549611654,0.5305220081865236,0.40878568662919834,0.4111863054154279,0.395856663982932,0.43158533927284837,0.3385463910409803,0.37515234944718495,0.327576394470389,0.35194204017598696,0.36025697894262615,0.5801694912185071,0.42287868725443895,0.5211963295750365,0.5874988140508195,0.5922270242280928,0.4331441928804988,0.3621086734752659,0.36760789789348597,0.3470039164842795,0.34759605930002135,0.40921706744209635,0.43371686178929614,0.6827230884092729,0.4287116715859952,0.5246868639347448,0.3514673157138785,0.38655624286696705,0.38201085343289376,0.37863957373709917,0.4007629287990797,0.6774210471315045,0.6715169432419217,0.761142738595547,0.9975585395460279,0.8630185580107902,1.0593483221784927,1.0395731862703235,0.7243363343535768,0.595595366209316,0.44065393056806657,0.44217181539242606,0.5444507776941735,0.38668432210743775,0.4270289799879107,0.48949264067590487,0.4308686386967683,0.47488256354977976,0.4179233049992219,0.42438078770766985,0.4770630538645207,0.4757922096164861,0.6399959665992783,0.49720164567785907,0.5254438447127984,0.5041577459284764,0.5556434855002407,0.5755240559701851,0.6111386834493209,0.7645608277305402,0.6842518306448823,0.7054107771979302,0.6759329812515831,0.6922265683572312,0.5728936546812108,0.5660555104906143,0.6052724895107559,2.213279146597874,0.9645377407243462,1.5893838038843071,0.6728222082221055,0.7439593466546818,0.7625301209999082,0.7912111132205591,0.6138251388601171,0.4949763160103294,0.7525180896472144,0.6545682991332001,0.7470126481262128,0.5689937745926599,0.993461884873969,0.5835138526105109,0.6035314403527182,0.8144002362548666,0.4784907370301526,0.4958740895021522,0.6051375778047918,0.7329597521960304,0.8647492181627772,1.0090139869325172,0.9602708594396665,0.7899496268928275,0.7404434882501955,0.9581711679589391,0.8091315246121578,0.6266436312824287,0.7572051969310768,0.8072839526579939,0.6302678424996456,0.6720314179922415,0.8189056168544022,0.8253403325959364,0.6993627302448063,0.7325135779647757,0.6609960288733061,0.6234445361372654,0.5848038341329985,0.5808395595119747,0.5886962868416699,0.5332179518365919,0.5423900205325043,0.5057511145985885,0.5258386074012319,0.47125319497740137,0.5131116695329837,0.6286664912467027,0.5752681239856237,0.5503805672159727,0.6256570598958586,0.7954586282154567,0.713540020034985,0.7207629393524125,0.7998901738586245,1.020441488181257,0.9379052805374261,0.7385321547957053,0.6680437945789601,0.5741233152303469,0.828863151882653,0.7020835677585775,0.7502656731343192,0.8116974259139276,0.6098850816484348,0.5333044794602474,0.4247018759346935,0.3939957252317275,0.43953847800522494,0.45102489906138055,0.5313747009405677,1.429121819593177,0.458695344014435,0.5045319195947336,0.6205516429660893,0.8844248138971866,0.5334197635740257,0.6693442093237836,1.066213334288875,1.6073260024023708,2.192320396929052,3.512941600026817],[1.0733484209465483,0.6659298011659187,0.524675554876195,0.3573190899583498,0.4132307545272503,0.42571877233136796,0.298120775765775,0.3417231468261279,0.30592035525020067,0.31332142375505473,0.3696022419879336,0.4370196967663292,0.36531485862920166,0.37535592261454137,0.5578681410940012,0.4975963584260217,0.4638825015782393,0.5313969174999268,0.5571248144723322,0.5154036507336004,0.6020764965662673,0.579047772958162,0.6690605775547274,0.7943580042523933,0.7757870129009409,0.6421889614511932,0.48171179212580145,0.44910358147164253,0.4627889924498486,0.4742905239123698,0.5936867680514665,0.5525753736635846,0.5971704486453507,0.6259362178846821,0.5525978781440908,0.5066325708921515,0.5064610447903183,0.4802087851708318,0.4312670050315441,0.47853953240515357,0.5763179433033799,0.5362499683200768,0.5309813725196361,0.5876664165088733,0.7921890846441347,1.2374108438469194,0.9756894739247892,0.6580795353010178,1.3807233409644428,1.3489063169720337,0.7736318930616423,2.5258242541526554,1.175426050112071,0.9797037315063529,1.5266069556337039,0.9349209446110068,1.120895831903292,0.821802971716211,0.9441642509016885,1.2673304618459795,0.9556281260808878,1.192796045861063,1.3394563974473948,1.0294103330935833,0.6747211426948396,0.6515988199743787,0.8264124001068044,0.6767022999221751,0.8355842092660234,0.7122904057897432,0.9570135953953797,1.3271423701120926,0.9233093148769461,0.9445029942523461,0.7379912007396513,1.28872269770744,0.6778584006132522,0.6405388907521333,0.5819604881916643,0.6416521726044969,0.5804260025755066,0.6007762367991168,1.1464800752561062,0.6451525010152072,0.4829158389785674,0.46470164404762815,0.5088275355372209,0.654458666854726,0.5178038911698013,0.652299023253875,0.6409611972379948,0.742063986683167,0.7044582366181313,0.6498913367093573,0.6066687407776357,0.6902477610736664,0.6886781163693098,0.5931785472270195,0.5745741320327235,0.7921123346216632,0.5685136427537342,0.5728260323771324,0.4956687777548742,0.4851664480274582,0.511074694540717,0.46866795110785137,0.7606838830925774,0.4296550660116827,0.4527523883249326,0.6819528485284967,0.373607938825198,0.3210514255403585,0.31901718027695736,0.35739189305951796,0.36570470360582896,0.3884307054167999,0.4619928757391217,0.4009127012891591,0.5215626878950971,0.5727832978200487,0.49747344360444246,0.46071208373293515,0.38148233640899154,0.38842932454036927,0.3382494226531864,0.3424122545399478,0.3663725713993706,0.39605639855560343,0.3519118445289105,0.392340511527452,0.3710063030749371,0.47918851978666416,0.3590538888990173,0.5100534724033832,0.39191487168441497,0.42074688523144427,0.627611284173271,0.37368243204185336,0.4318189346436641,0.3540146070067953,0.4590274225662828,0.457445617615914,0.44163893796521264,0.4122120964930069,0.3947333301090476,0.4229358684090235,0.355123643744502,0.3819167564628986,0.35518601064082705,0.37008326970070354,0.38424520587311717,0.3894095351414865,0.7237840092312149,1.5972359324061531,0.8976908765542106,0.5405267461537521,0.432580114266626,0.42005739057265085,0.4492900166339077,0.4479725137269949,0.3703781271254149,0.4327959947840019,0.3625103117178178,0.39290120027568176,0.3870686969567625,0.6038981781084967,0.44589117450117066,0.5431015606737134,0.6096345102691458,0.6153197230818394,0.4524619750442695,0.3876282719142356,0.39642540776499474,0.3668638865155251,0.3787252680795123,0.42195110999228563,0.46826491541045445,0.7238923573341597,0.45261274696698606,0.5670663057843689,0.3579510549711743,0.3893731952536535,0.38343902044145023,0.3866676994359912,0.4114551938009104,0.6817831350877971,0.668358132491522,0.7797643543643047,1.015144576315791,0.8505651697332157,1.050927801096458,1.0812274277250846,0.7208862289931476,0.5985229363549579,0.4325223472100866,0.4602081597313599,0.5783836601982666,0.40131079388176044,0.41721787969121504,0.474168405001475,0.4336928024798151,0.47373672620726776,0.4012144667811345,0.4327122647628312,0.489562050741622,0.47783485572226864,0.627080724586566,0.5105485923077373,0.5553623017888227,0.5220840773862159,0.5811792986430294,0.6175345658676867,0.6378338808804496,0.8010691960467539,0.7352405631721071,0.7238435138330314,0.735926034778282,0.7155788476986724,0.6064954892216838,0.6158464860170199,0.6530572635417283,2.3630567161379825,1.0246453434291458,1.5997071880462157,0.7082500791276716,0.8006706209156709,0.8069724523169515,0.8485304964949003,0.6567435545394309,0.5151244365176549,0.7850025421735586,0.6715422360403022,0.7568973423665196,0.58234153322153,1.0198939877066808,0.5760259541834831,0.5984283742653614,0.7968536703616562,0.47122873318716174,0.5164489952120943,0.6214667318293614,0.7573725613074815,0.8927184709149826,1.036537158022959,0.9834409756951297,0.8089366677558336,0.7812622346756317,1.0169059660612383,0.8378946188168535,0.6418272042604001,0.8053175803886432,0.838679716767127,0.6439207992390164,0.7191207857075554,0.8894404728905481,0.8524474227426696,0.7571049925194645,0.8116635139640573,0.7178204477385154,0.6772116873981316,0.6198994454974357,0.6235201053032066,0.6321567943957007,0.5647488163597104,0.5717032068917403,0.5399820272263941,0.5551278043900948,0.48611535500843506,0.5301340960888393,0.6326804920156182,0.5786390523698899,0.5563596853140309,0.6354637363950714,0.8030632690715466,0.7063315359163435,0.723666314632393,0.7853951375350813,0.9929996958122544,0.9651417626870322,0.7533143770270861,0.665775603139856,0.5918700872776141,0.8399350519977744,0.7396715773741459,0.7747552356168508,0.8144392612705795,0.5921389762050404,0.5325058712709152,0.4196316514811547,0.39843994026969765,0.4532261576590016,0.43543253627817574,0.5145447376392734,1.4099799065192975,0.43144178858294796,0.4989369183116018,0.6132327484755749,0.8603696652001394,0.511905093146815,0.6826635506892994,0.9869235416911855,1.4456066770870533,2.2438085716630813,3.4274250799181205],[1.0872993063036611,0.7093547473923738,0.6542862009925533,0.43463778084530996,0.4785104081913296,0.4598993436209614,0.3658210742858834,0.45787167566484566,0.40108473394947347,0.411191449795212,0.4834519604407282,0.5687467903994149,0.4837732121873626,0.4718202509147898,0.6932753518823045,0.6343922971703508,0.5630660368472612,0.6504910398968357,0.6349903420075722,0.6038859357732621,0.6913566622725388,0.6525447931869516,0.723958977313568,0.7997174945282352,0.8043485677477283,0.675755303643,0.5591482365146357,0.5356543775636545,0.5894751543520943,0.6084778922628585,0.7480244645271517,0.7281294835646633,0.7706361253718146,0.7945968999474763,0.723026538260643,0.6605669805701717,0.6655206327534742,0.5973078725671876,0.5468495397115775,0.5938334447558363,0.6317403724469765,0.6454311457308868,0.6310721433675639,0.6774805398308885,0.8275511371453874,1.2278462176404275,0.9483530684244044,0.7210949278452875,1.3977444084724922,1.4133939442901082,0.8416675220928335,2.4905913566565396,1.1923664323788956,0.9875866225117744,1.6366433766076,1.102918736273988,1.2865191993783491,0.937571720578824,1.0431169773974027,1.3376673611848435,0.9717797261560723,1.2507896849391316,1.339050925713796,1.0423257169193954,0.7588910146797366,0.742448805221223,0.8925784152311383,0.8006577242045555,0.8768067302798259,0.8054030480870851,1.0336374620744129,1.4100215697138165,1.0254773024669477,1.0249798629798827,0.8579237894494672,1.342544327774842,0.8023135337451149,0.8115763074565628,0.7454856858349687,0.7844478230304782,0.7452101785889529,0.7380932527798819,1.1843815434842107,0.7640888031697043,0.5890825225210943,0.6076925951762974,0.6508175404986315,0.7996682548845441,0.6737786512959804,0.8076478753354978,0.8079465755591256,0.8824672537556568,0.8770162673264645,0.8318009980109753,0.7756886943273504,0.8509539921634425,0.8483204291939345,0.7745917533315242,0.766368429769926,0.9582798750082784,0.7673858304950326,0.7584587108317314,0.7065676735242938,0.6800614763098586,0.6978456790354985,0.6062451266361473,0.8820588943240574,0.5487431874678275,0.5561338390006595,0.7299344483586201,0.48268437120317426,0.4233439280876694,0.42683221016170086,0.4460121636277099,0.42912239306028493,0.44448570386447406,0.5113605552948164,0.4506605130106774,0.5498315208966432,0.6191578693203745,0.5277405046080492,0.48937679305481757,0.4369446138373266,0.4358315681204786,0.39532118494972945,0.40685935369596016,0.43876119590103146,0.4431990361909271,0.44131638309612253,0.48819765293484335,0.4648700952319902,0.572807743921416,0.4696961900123957,0.6078982041042121,0.4764298672664041,0.485081270920399,0.7037120002141556,0.446104227460184,0.4842070233918024,0.42261644551214467,0.4936158760936457,0.487960666155888,0.49445862437221433,0.4575190338770159,0.46170467351861605,0.5059851573218593,0.4440749364908458,0.5015544674761527,0.4851450212830939,0.48964798638172713,0.5059038794170861,0.5067571491571066,0.7999560521192008,1.4728979849346766,0.8919761722083639,0.712433146892534,0.6224239437426684,0.6058512517469932,0.6049770789679786,0.5925182786512361,0.4869890402697073,0.5339149887430414,0.4632270818709634,0.5063606574020336,0.4790529143756699,0.6668407776241095,0.5275094668094737,0.6095435132570973,0.6658211802668933,0.6799591233621842,0.5347851056386226,0.46285149626937283,0.4847271456920923,0.4789317534884552,0.51421285079963,0.5857097507049155,0.6186621928391661,0.8891279544802826,0.6032465172158193,0.7225485530194543,0.5145982572917219,0.5370804705532246,0.5254893590132773,0.5348962878587635,0.5320725353004051,0.7957529575426848,0.7582259883111471,0.8915373660090916,1.0697081904251253,0.9368753923529279,1.086361161019123,1.0509622180590383,0.7240307637459755,0.6466987475137314,0.5171687839910645,0.5649884069768274,0.6695737646871787,0.5221254413727996,0.4989789016502606,0.5388460863662685,0.5438416398158676,0.5784608299757914,0.49932878791542834,0.538288322498658,0.5953780961065196,0.5736649778716384,0.6975586485657139,0.6249761440882353,0.668545372962655,0.6336078927689599,0.6986958947344554,0.7339495613931052,0.7371271187446685,0.9407253482734593,0.866381187870279,0.8297664067514918,0.860605419020299,0.8098123629615096,0.7221810097071413,0.7390350176298397,0.7647763186945823,2.54894346575387,1.0853396452361652,1.6074344247863435,0.8008884939904836,0.9359762554681812,0.9450371258917799,0.983569168945748,0.8231785341882583,0.6484071869686335,0.8723867821805873,0.7755404662894921,0.8651892936240525,0.7032080285717165,1.094783153644727,0.6856350711091125,0.7097235648246178,0.79501579953838,0.5536441834277268,0.6360214428379498,0.7224091147868804,0.8752528247399172,0.9950914787140617,1.1603991842200532,1.0944224557016522,0.9253621539062693,0.9135249065158557,1.093060213299617,0.9436172592257026,0.762400643217146,0.905465124711422,0.91227021012975,0.7321841972254731,0.8281574783839154,0.9722078913998117,0.9008080123194047,0.8561657669023343,0.9156589803276242,0.8400971805601585,0.8053669682672587,0.7530617430598446,0.7663696347007494,0.766132341674892,0.6884466025989274,0.6752534381722657,0.663634071107095,0.6714987528207366,0.593092688559608,0.6457078292588092,0.7089950177158788,0.6559154410611183,0.6444494192822031,0.7154379187238602,0.8670257635147227,0.7504590383757131,0.7683248886378087,0.8251703455360472,0.9750833056617747,1.017032710480135,0.8325185503454476,0.7323715690567234,0.6913009884371385,0.9162430918349337,0.8237578360718854,0.8399150866912305,0.8610240727508196,0.6556416643726203,0.6198930885376039,0.5083317633083322,0.4780393234014286,0.5569118290695595,0.5293956345488271,0.6016350701579951,1.360958468452303,0.5101171585140394,0.5902760925776552,0.6891994972442048,0.9082169709599112,0.5689808727595186,0.737529164625248,0.9815537077538348,1.3503968634515702,2.34413239177541,3.3566330596954668],[1.0962860056545507,0.742728837908051,0.7018310445961845,0.4288041136651365,0.4865634924929877,0.44200450554960824,0.33311554820317835,0.42201853723682137,0.3500234887263533,0.3532547352587398,0.41415450892655004,0.49388086364883255,0.40795125389226305,0.40610388196376596,0.591580234261641,0.5415915006375422,0.4815737170454289,0.5550082889731214,0.5663341399685595,0.5264126011702646,0.6007689584573082,0.5831348819987185,0.6794110681227499,0.7794517250459034,0.8092341479039169,0.6474972661987649,0.48486441953311477,0.4651839075160745,0.49381643637789907,0.5202816606454459,0.6403982111259753,0.6241190651790116,0.6683374836272336,0.6964072385971638,0.6220614130742649,0.5568240391977125,0.5680314420985433,0.5048538530269185,0.4490044090532299,0.48341137047815336,0.576431237616935,0.5692341599201461,0.5522237601659047,0.6223877568491927,0.8183432901236075,1.2683809771297128,0.9960258799456668,0.6694396513551147,1.3603859108449927,1.3918919080812457,0.7717965079046898,2.457164448206161,1.1127350324155365,0.9327544353373423,1.6001921788241062,0.9941085666821851,1.1820713101550322,0.840817171024663,0.9502325038739988,1.2966134147229602,0.9402538966531051,1.2069343562237325,1.3493474757805797,1.057842744198975,0.683745909621884,0.6742432503070505,0.8369583738674602,0.7016222221741111,0.8347004898990628,0.7230389153435096,0.9471934547891621,1.3282665045940798,0.9374834293862518,0.9712963939254916,0.7571992936744845,1.309511865186396,0.70895303661974,0.7024642806284018,0.6397589822500913,0.6735990326363894,0.647308020974154,0.648631247676695,1.1459417483394845,0.666705202893314,0.5020299684952536,0.5123758108718802,0.5550926188537303,0.718586410429589,0.5709795088275972,0.7027168585814716,0.6979655503113632,0.7904231160078771,0.7627234355476445,0.7193757187184352,0.6647725030166886,0.7526029530802404,0.7268306615116942,0.6727084140703676,0.6649251096756078,0.8821029647492908,0.6702447519365227,0.6989786974096119,0.6144365632762883,0.6198911313495887,0.635364213495756,0.5938887583584538,0.9038878827771806,0.531094682739923,0.5413504240321064,0.753557420698753,0.47789584897178183,0.38881862384560706,0.36947664350630194,0.4010893517006054,0.3829407595233453,0.38726032465476884,0.48126564586690257,0.4220335297185963,0.5299497003617945,0.5814114229410253,0.5088564035705622,0.467565218530178,0.4002222590837966,0.3871939717395443,0.36028879804906866,0.3777620435497291,0.40683433019465454,0.4301664640414016,0.415791178303833,0.46344211120303425,0.46163612601935694,0.5758789579889468,0.4450322510049221,0.5747510134259894,0.43902483019427346,0.46074707981422813,0.6342750875265499,0.4197907897400553,0.45084861883173505,0.38047689908451787,0.49314410168202316,0.48914511405124056,0.46851574689358527,0.42325406226614126,0.4094481466992307,0.4215655386693624,0.37359558396364995,0.41569552302644985,0.4060987746223646,0.4232081102042527,0.46488987571170637,0.4555781481768085,0.7424509367546888,1.4126535072393762,0.8613534433892767,0.6398495621883739,0.5371068456908253,0.538058088594089,0.5190408339178568,0.5053249881407184,0.4230990815334796,0.46162101638069425,0.4087733396564179,0.4211181197575823,0.4273521427335274,0.6221536362032511,0.491254931150517,0.5965956506356997,0.6540725276571332,0.6546200128229639,0.4888189550794193,0.42217649761645604,0.42346813238112074,0.41246999073153456,0.4229985362186662,0.5054375959422992,0.5228217313402255,0.7952315031921987,0.5047252530841586,0.6335239660856693,0.42589740294947914,0.4870046176992387,0.4671330736846097,0.474799460745587,0.47303179971361403,0.7199151726006091,0.6822041701671735,0.7860325544565417,1.024868161482452,0.899338507194769,1.093430823792757,1.0540762721349977,0.7253455074128551,0.6328228327715615,0.48974339242465736,0.5339726386664326,0.624843345317075,0.5094744140313425,0.5055752703901089,0.57908224258105,0.5483879515039642,0.585520132920144,0.5160746761628386,0.5315341866413505,0.5948904589306866,0.5715942260156573,0.644077013413003,0.5953943011374959,0.654629805784516,0.6047421510664156,0.6585255105987067,0.705394630734164,0.7034089219216231,0.8304621056291447,0.8118646697740479,0.7867572442269011,0.829081606581057,0.793227858148241,0.7005454702371379,0.7229247941355312,0.7871877645143086,2.4042703226939475,1.175455535203963,1.6582221880637373,0.7932104344827299,0.8854876520611809,0.9014632699747657,0.8954307545086165,0.7707472384574761,0.6282984388987185,0.8789048801967264,0.7391710104652616,0.8573810344568484,0.696205622035583,1.0462238829434019,0.7010267144634742,0.6981229473051711,0.8160830256082362,0.5693861585890642,0.6038560947087563,0.6914999004342063,0.8465581321910649,0.9697778776785677,1.1408886286708053,1.0631575799137742,0.9078062739230929,0.9018758411953395,1.0955288020304286,0.9396628081062773,0.7515308304166839,0.9120624086452952,0.9354462562720885,0.7154701704041639,0.8293408161468223,1.012596407099183,0.9185505615896287,0.843405512480103,0.9284108268849478,0.8269271318552989,0.8123082494551735,0.7588104349847863,0.7617141975430722,0.7604987064685026,0.6778758874775472,0.6932510824527657,0.668923135850921,0.668487610767103,0.5873626994359628,0.6367670273968175,0.7333042132698289,0.6720922425210615,0.6545786849623462,0.705169241077732,0.9005205747976468,0.7642461199179306,0.8153248480678752,0.8811256370291027,1.0298717481671589,1.1034574456754729,0.8601112172451857,0.7315597427253874,0.6935434741883072,0.949952142930608,0.8699076591329,0.8962650801917346,0.8998448835186126,0.6764118816441352,0.6537103652336824,0.5099290296927974,0.49209020581786245,0.5973837992956128,0.5575969381137221,0.6025295767181309,1.3839646808167925,0.5316516269705804,0.5989243378690039,0.7113194433342548,0.8814886974132115,0.5379573010672098,0.7681185812776921,0.8720175063597455,1.396881413165313,2.39802103958243,3.3460286726060344],[1.1844947047683745,0.8670922817469388,0.8680476058635622,0.5209584606381172,0.5772642856407176,0.4914476005980789,0.3993928465762998,0.5044573351688715,0.4143409035190728,0.4024138699698941,0.45328911628288154,0.5520361147167406,0.47094065301570026,0.4417571362763614,0.6516318165185192,0.5940152378835909,0.5299476720792788,0.6142533092256649,0.6123265687457939,0.5777089074517037,0.658784720764255,0.6449708865984681,0.7076082696983209,0.768347507548054,0.7899441302708446,0.6543109164785863,0.513307611387882,0.495239774259041,0.5471635606526808,0.5811740127246913,0.7074957400797955,0.6826150049371631,0.7554056003142975,0.7914018432118731,0.6930406556086001,0.6268363781749832,0.6380440920524997,0.565726344507741,0.5065301043196179,0.5473817961328219,0.6013669317107376,0.6111833860386111,0.5980775623898721,0.6493974161628862,0.827680335789735,1.2404615659087677,0.9586157555396075,0.6928626915468781,1.3450868914326086,1.374060481837605,0.7888255969085987,2.452907795872734,1.1636122714786314,0.9392150179930148,1.5982019335472701,1.0690609072543424,1.2627189768811384,0.9019700414021657,1.01489780129577,1.3104961285673173,0.9697794532412805,1.2795226147569054,1.3909341933891113,1.1042448122363522,0.7575570398557041,0.7393408888373193,0.8926695803527411,0.7706437472948899,0.8694827624613279,0.7740539114294943,0.997204982715249,1.3940239970911297,1.002872260121867,1.0034184460820084,0.8205411100802517,1.3193487946336937,0.791668952399581,0.790799179379502,0.7259569560596014,0.7566184545983963,0.7224414289162407,0.7314134213689278,1.2015017671137664,0.7576175215303073,0.5616447216062702,0.5940591134145391,0.6304792513580397,0.7967638495385861,0.6568806519400227,0.7910380693989518,0.7884152767509884,0.8583337958328647,0.8567645821421038,0.8229374374177949,0.7538370760254678,0.8610139091096024,0.8254074442849872,0.7578974714865083,0.727886398095701,0.9250438943163659,0.750046795420064,0.7749392907565433,0.7049670899396908,0.7227593237843709,0.7414504387308292,0.6659730056343093,1.0097335977598572,0.6406604948662155,0.6539771168633652,0.8250137794860567,0.5776790176426826,0.47148086783059195,0.44731447217555137,0.4441465202239197,0.421318562408679,0.4096768547262964,0.48837151935223627,0.446411230464289,0.5565234092794862,0.6065632519495532,0.5313495688730535,0.4807266288412805,0.41543324799951203,0.41309937460362867,0.3961839402604225,0.41672028716516535,0.47207036092684035,0.48731174532902066,0.5130727643246319,0.5482570802962501,0.5657603069581636,0.7026885070852587,0.53897759739367,0.6602145483597457,0.5044515262346033,0.4912892537986917,0.656165976485956,0.47025460516565776,0.48806479611819686,0.4155327098341462,0.5066982234009422,0.4915605823437392,0.48017469846192246,0.4428697240714761,0.4384060191388669,0.4575372862681694,0.40939863282948685,0.4692399604567233,0.4651713778039543,0.4966545117605298,0.5498062652765995,0.5404857261493152,0.8142850462755249,1.3443389253520823,0.825002250313624,0.7029217936583269,0.6127911166097333,0.6314753572052173,0.592721574111136,0.5977933180538614,0.4780093366899557,0.518856717936511,0.4506350162017382,0.46753914166368177,0.4609542145403825,0.6135874491874824,0.5301915477321371,0.6167000589758153,0.6705248650306762,0.6646513039157277,0.5224591371575565,0.46447311683632475,0.46523551203300895,0.4691461134944624,0.5006438544675232,0.5898378770009187,0.6023178651860444,0.8953112258078276,0.5874442907091194,0.7258895147554596,0.5067885890065342,0.5793271232122358,0.5706004456840009,0.5710115178805889,0.5381252220520427,0.7778119579586935,0.7213962755459193,0.8553333615395323,1.0299561787252278,0.9359877079793067,1.0869230096106581,1.0326503250250019,0.7123580328827869,0.646871331792515,0.5578094317654477,0.6364698657373753,0.7490131347798292,0.6395036311904256,0.6482537789617027,0.7078588837717483,0.7390858260275647,0.7650987954500247,0.6756058265020968,0.7091624360306622,0.7969041927206184,0.7562923013858888,0.7551805893072883,0.7924157563607646,0.8673784481082454,0.8004176711782478,0.8467684823556071,0.9220074889613075,0.9028054352149358,1.002656119712813,1.0060174078997792,0.9549112302208664,1.0355432661532518,0.953993603677809,0.8967379194927887,0.940924097355805,1.0112725901064876,2.63736887735955,1.3468849933710103,1.7185411475331693,0.9858680377850758,1.0885707852992585,1.0789204654375701,1.0886654244111895,0.9921077230587697,0.8595265072857569,1.078118513816502,0.9382138569531472,1.0201572543640265,0.8829376445565427,1.1916336567387307,0.8290770145042472,0.8341407156636333,0.8677448840564075,0.7269453798856204,0.7504260959040117,0.8701853403986664,1.0099018523011871,1.1117472325594067,1.2957563268802066,1.1965633208174062,1.054418589357612,1.0985615885414597,1.2665305007419296,1.0755014379236105,0.9370182150786898,1.071465490377275,1.068916673714417,0.8998532534748839,1.0374949031749001,1.1872216914802718,1.0714213223680147,1.0447946572919888,1.1385275098504766,1.0490536698214443,1.0401323060969485,0.9752413726088587,0.9882397136496108,0.9948186760552947,0.8857984475823243,0.9032253472585632,0.8918190191527969,0.8766104132149511,0.7856365499654169,0.8481507424729757,0.9131089009494242,0.8443866607241634,0.8202380326772138,0.8810377954434674,1.0630259990595619,0.896268603899345,0.9388806243670711,1.0045381681598247,1.0965566313208004,1.226900305221799,0.9738535642474002,0.8684524094109027,0.8419768146169363,1.061965347266594,0.9803211058667399,0.9896281865528342,0.9857229126429877,0.7791891154127094,0.7686995784398915,0.6376837975980255,0.5959547699489749,0.7272069805237424,0.7024478314817637,0.7805620883034909,1.4765308737829583,0.6702160711923859,0.7773918976331182,0.8922537287075946,0.9437155505220612,0.677412734925796,0.9224263143948671,0.960399696619537,1.3366735193528274,2.3955237677174708,3.414374674199754],[1.1452363821360658,0.8985771605026185,0.9624192286383468,0.5904440612992395,0.6724554639645896,0.5847314923469867,0.5025088572622758,0.5807984372973003,0.4844304905942878,0.4714588060120985,0.498480129304328,0.5944841445824908,0.5237172661034206,0.4807100707854702,0.6515025622742128,0.615658531022429,0.5732122761239362,0.6368493347861272,0.6414179418556497,0.6027886123905066,0.6856632556131175,0.6708767266511542,0.7427846677022248,0.8193102804789708,0.8513612543292741,0.7123545389915983,0.5499960194928094,0.5298740125369276,0.584808196215505,0.6059441860825926,0.7106421122910955,0.6832715976357163,0.7510972229563252,0.788171229506101,0.6919417547219961,0.6374474142537065,0.6537571076372221,0.5985329869640995,0.5602282070059971,0.5965617208021163,0.6312557370637579,0.6486580673205531,0.6401624600955852,0.708963861142362,0.8691230018692929,1.2702228931069641,1.0217709409250255,0.7508076455301638,1.3100311840734822,1.3798491758694549,0.824360340398525,2.4140724374888807,1.1577461749753606,0.9133229725033196,1.5987621856591991,1.0967635878729662,1.3125508652294766,0.9242020472428792,1.022403269353206,1.3776677616920254,0.9957743664873668,1.2871246512021497,1.4081953442558497,1.1016326573261808,0.766024501937891,0.759788826710427,0.9293329923285805,0.7921836545128046,0.9145952247849206,0.8016402966980223,1.0325195161609713,1.4113879403318272,1.0116997130013299,1.0332656663446946,0.8382717198526665,1.3441597971464423,0.8007587393818569,0.7899244500201684,0.7278378144408111,0.7585401823360302,0.7306727385511148,0.7624382708832017,1.1916284053385484,0.7656015253965078,0.621520477249697,0.6330371616354863,0.6517943659683607,0.7952582949146381,0.6598503777757503,0.793100486973054,0.7868308027536588,0.8541064968861999,0.844181322776237,0.8137245112316706,0.7490077549395534,0.8381667813836369,0.8197223710530532,0.766117842914105,0.7519487767508876,0.9411394259941059,0.7717044470956579,0.8304705326545544,0.7424120428102277,0.7912304041189548,0.7965591851729953,0.7325659606846876,1.0794351258998411,0.7230019365299601,0.7363306198403744,0.890549028223004,0.6717044851840841,0.5560571755863929,0.532985793594731,0.5381852249272905,0.4798957016697115,0.48492823105149846,0.5200592087867857,0.4844597673017433,0.5812565486431294,0.6193279810597391,0.5479060824636299,0.5106325396558978,0.4605599814147093,0.4688091863403323,0.47912229078944263,0.5325845483997792,0.5795387268653034,0.5726185413737094,0.6011320842026062,0.6346827611927853,0.6642608358655209,0.7829703989793247,0.6279039983582212,0.7241413210691428,0.582005220566246,0.5631651769399887,0.7281172582320304,0.5644816766733304,0.5404385966341179,0.4821864352529301,0.5643597963768233,0.5505336165599771,0.5330351035519244,0.4750460426072335,0.47539232168509626,0.5085322466728032,0.46513350278105553,0.5285335625034787,0.5424945907681872,0.5668597981134237,0.6340389652368145,0.6185397091102053,0.8692528747321424,1.3611126384770142,0.8687806359084764,0.7579227378959483,0.6625516853289394,0.7030475108399095,0.6451665919883673,0.6804771603695876,0.5574733580263481,0.5714921047897219,0.5184353734152876,0.5280209847441243,0.5387827297485995,0.6723887573449938,0.6159552967707062,0.7124930742942154,0.7755566954270251,0.7559274704601009,0.6232401652800197,0.5398833042666712,0.5442416019904784,0.5427201196981744,0.5598974182763519,0.6351272711963545,0.6361547761518449,0.9118308115726781,0.6196270833432541,0.7495191611034169,0.5800493293598608,0.6544365427318608,0.6551945005961145,0.6530134555720167,0.6222671301662819,0.8444449816740194,0.7966230647425585,0.8824614159427292,1.0511557509415586,1.0431401017906528,1.138379785164439,1.017526479129586,0.7388595474151219,0.6935912079495665,0.6532270654230833,0.7271930817738586,0.8126466838456156,0.7271463564795857,0.7445915206369783,0.7957042361148499,0.8159070524062068,0.8323812163181984,0.7621303881233904,0.7894803091454629,0.8491822027773026,0.8191211166353672,0.8093047628328771,0.834262218473425,0.9006321073902832,0.8421484036038798,0.8843635434063986,0.9452404694497623,0.9196703913118076,1.0056079904294695,1.0186224257988539,0.9747572640324872,1.0650807284161907,0.9773295547464315,0.9327614676468513,0.9884288113624512,1.0540962009085568,2.4810836009188493,1.4320447480312195,1.7882188251789233,1.0256150759933977,1.1214689152971276,1.1249034789174293,1.1161755296333884,1.0406475830563053,0.9071199237236559,1.0855283014526738,0.9628637252255478,1.0737518905915953,0.9405141360847324,1.162475263700802,0.9665291838853215,0.932963242167099,0.9548484812956423,0.8272801880288947,0.8350588832348843,0.9257689161875076,1.0528890635202683,1.1369784904069122,1.3361530949675575,1.2243292847018932,1.094508323522728,1.144597936651682,1.305877517089868,1.1249796481445664,0.9826669906623424,1.1254242551435787,1.1254942796505023,0.9267980572307581,1.0866879057508383,1.240225534716804,1.0945164767029243,1.0663823182029502,1.1731849450336882,1.0742986226247384,1.0834843824568474,1.0165597187665698,1.0385688494985925,1.0371727937703366,0.9327185414704463,0.9479442712999417,0.9401567820500233,0.913581310620159,0.8490307766846005,0.9134927840299643,0.963330401057956,0.8927397510194445,0.8942018223755585,0.9263183116222289,1.1341335590333255,0.9369626764285517,0.9803739361980373,1.0695294284375618,1.1429877419935621,1.2712744784741503,1.0386830919304513,0.9013992219163356,0.8948506582523867,1.1391912464652305,1.0774266727259512,1.087095672465092,1.0780841845426783,0.870568449979526,0.8603077941443971,0.7337130806568966,0.708066224135109,0.8280115169863128,0.7876207433097665,0.8481036696343597,1.5164881201968283,0.7548947092944536,0.8349712468348011,0.9396685892347548,0.9522307091967284,0.7238186703934744,0.972874586159158,0.9670134537644287,1.4338646892082976,2.5616228997818897,3.520720950794397],[1.5141923253530758,1.2990718585702377,1.350482792342098,0.9535045038518296,0.9535547749932498,0.8277913233354677,0.7181271091501088,0.7905202714079703,0.6327971117368049,0.5964791301974969,0.6166039994218161,0.731673151174021,0.6542328704343342,0.5921538055048685,0.8160705596940664,0.773311956432529,0.6820739713933224,0.7646727332216915,0.7372531679367927,0.7255006267555963,0.7771227678219345,0.7827722791619818,0.8010277311797188,0.8713018249594373,0.9116764602983968,0.7816727429981195,0.6730297181896334,0.671451722356839,0.7311978078804248,0.7729696481701617,0.881889294230222,0.894561828286602,0.9756496136499857,1.0117234626013805,0.8993842824844596,0.8197623813967145,0.8405509275891038,0.7652023033749986,0.7053374515995142,0.7587604829541928,0.7504634676291317,0.7580930437187294,0.763020964329403,0.805674670229252,0.9263699396283415,1.2785211519782549,1.0320276678947709,0.8614817854345834,1.3970000047358395,1.4242101453121512,0.9309734918510808,2.468829780524274,1.2660887855618161,1.0038539971194573,1.7006014595781787,1.2435230748290793,1.4323294581594619,1.0715068612817016,1.1667078519130736,1.4712364415796708,1.1170638983024177,1.4401555685536245,1.5423783754997427,1.2356864523490352,0.8911545910871045,0.8909973163553879,1.013288943493039,0.9144154500151944,0.9581117405977319,0.892212287634816,1.0521774312341678,1.4640086474587917,1.1192141554966875,1.1184450133010135,0.9649326665996316,1.4526258986588894,0.967573544424721,0.9947309544602321,0.9345065642193111,0.9412850399571284,0.9378508630520915,0.9215829297921675,1.3418475462840087,0.9761679210603212,0.7931798831292609,0.8165601725006334,0.8255188822968459,0.9884202416863934,0.8447471512165131,0.9791912695499491,0.9746709023252801,1.05269662758426,1.0414583678286062,1.0324001704395658,0.936264368166124,1.0557649126613482,0.9891539286504744,0.9562484856353088,0.9210289505580244,1.0985064117736014,0.9509455396213404,1.003787109297767,0.9258134658453502,0.959161945876636,0.9941882586225987,0.9542432784608104,1.2659923243556621,0.9904405356507865,1.009383973195503,1.1153459944755688,0.9309873336219617,0.7939348021333947,0.739919154621101,0.7005379484371634,0.6145316058328182,0.5981593716872259,0.6548428425376209,0.6118990374383563,0.6641500883469228,0.7200943336392763,0.6395309280714536,0.6003687096819497,0.5753163768901381,0.5995158112963241,0.646900316230817,0.7206350602858745,0.794528148082475,0.8185081671118046,0.87694950386846,0.876231362238597,0.943915026954891,1.0400218601119657,0.9121524591700598,0.9810516994161896,0.8702143706714301,0.8412584867488425,0.9774324137430314,0.8195007738972532,0.7740719964076361,0.7014147944740636,0.7180791249661078,0.6877078342664451,0.6577554005513283,0.641227431895101,0.6382549807993264,0.6688463952116587,0.6367865107398439,0.7124863655655922,0.724267212239957,0.7432760164355421,0.8158423385243675,0.7995794352222343,1.018390820573218,1.3524015543164423,0.9988119386384965,0.9225297437716112,0.8376638293613333,0.8778299777743237,0.819219400320079,0.8524817868015935,0.7415879753624457,0.7534237600281097,0.714791054623564,0.7166865940774796,0.7356571878770375,0.8357575864481968,0.8363007376637717,0.9229387178830182,0.9873724876868661,0.970342397722878,0.8740578692754422,0.7983920341993085,0.7603261821207424,0.7537090093883538,0.76812078414398,0.8344347831905755,0.8243756548383918,1.0793870804824985,0.8310890681967154,0.9800763908532718,0.7825876878883948,0.8786084480465094,0.8873468127841457,0.8969140145046394,0.8349236742828615,0.9644885151590131,0.8953278406511455,1.002617769890702,1.150367278452998,1.1554178864133027,1.273572734490762,1.2231352259352246,0.9816077772423404,0.9645904036301531,0.9295047215644655,1.0221370289856577,1.0950998970819708,1.0624673565643248,1.0739872937956285,1.0977596347243501,1.1796863390761483,1.1678666623006957,1.095626048254619,1.1658440440715943,1.241026227624988,1.1922254339260898,1.1986693141116482,1.2785970240050004,1.319879799114924,1.2827984168860185,1.3513723277137744,1.4181028864414276,1.3731600956892223,1.4811884605649672,1.5206665000215525,1.4594386491116005,1.543640483189626,1.4577319444080206,1.4034269352951911,1.464102171578333,1.529973080913117,2.9074312006459495,1.798468361017883,2.0103069648236445,1.4189900582728139,1.466505386717186,1.4268825653783017,1.4187268261264818,1.407667519327993,1.3145003249475526,1.445485578599868,1.3451544025993254,1.4455817234291792,1.3180385783215398,1.5051147160904028,1.2764948537172158,1.2691710800636467,1.2275564123895546,1.1740430314029102,1.1763900369482905,1.2329659733811547,1.3630305397133138,1.398808480790284,1.603752351191388,1.4590054448308298,1.3482777955470935,1.4292647814841628,1.5554097891094554,1.3588602765040252,1.2929282856944786,1.4046659357679057,1.3798842722863012,1.2848723237821789,1.4384863746631205,1.5475128147162676,1.4438080937928877,1.4615236878652824,1.5521158664251522,1.4915029628573946,1.476543914454776,1.3997909484790196,1.4170575364157878,1.4606032102005668,1.3646067852025194,1.3518148982011435,1.3928564976906948,1.3870865793799272,1.2762653740789571,1.350217504862716,1.442153239610539,1.3549460398821027,1.291085378301381,1.3700519339537736,1.5641887657239952,1.3892193779579984,1.4114695270768307,1.5326644575882467,1.5380240573304214,1.726109078857619,1.47072604958019,1.3530812692689786,1.3324502634806488,1.5138205173241397,1.4214906646033418,1.4288621658568963,1.3787082819189491,1.2164442079806372,1.1957319162923,1.0501531235087431,0.9913460442278581,1.156360831787625,1.0762485801788106,1.1550668028079856,1.599873000941255,1.041773761408351,1.1908322579920434,1.2452775544029029,1.1525898461839466,1.0526081820512538,1.323494703054004,1.2199156122929766,1.4832085920706144,2.5665350971817955,3.635006447441434],[1.500425150370589,1.3039649721116764,1.3891989364462405,0.9325294419256727,0.9356792116408497,0.7899782140724639,0.7083774318273137,0.8007287717280301,0.674598013864526,0.6517265898369657,0.7214500670134865,0.8844402805548344,0.7679022799612878,0.6764176870640282,0.9174914303446207,0.899897996022464,0.7941032108671899,0.85677145743048,0.8016029981254411,0.8091610236372501,0.8413793466684667,0.8644442340812659,0.8380089862982738,0.8701537158850751,0.9714113390331286,0.816281291649537,0.7225319139229909,0.7352993876987934,0.808291425694044,0.8564080900783797,1.0009974719120398,1.021671232320022,1.1214274562763877,1.1576242238779662,1.0263505198354947,0.9278965078070909,0.9472840279691344,0.8434991746559038,0.7767924638519875,0.8323475685744955,0.8179733829873115,0.8206570854671229,0.8435707130462897,0.8523589292414162,0.9395917483945723,1.288483630738857,1.0158943315297477,0.879750626550016,1.3676882789312335,1.4936036609090035,0.959681252041185,2.405987481442114,1.2430353421419746,1.0015050996541814,1.7732340517831993,1.3620354773260206,1.5430007278356324,1.1720153986097057,1.2667235927024827,1.5905894298839318,1.1401837695016435,1.4433620098237934,1.512876986577415,1.2723050388693171,0.9889994593644222,0.9680547587967712,1.0693491879117438,1.00607070058148,1.0075976340824553,0.9805948282313113,1.1461692539505879,1.4786165263042907,1.1831148048257096,1.164886806852463,1.0884802481822162,1.4660833820674934,1.082408833901132,1.121579334546393,1.054693579805001,1.0710947135634663,1.0805385403667336,1.0296148400104568,1.364748612696416,1.0511898241262996,0.8570109199384202,0.9005220441425738,0.9163647622253178,1.0759438551571439,0.9496786373964337,1.1186635942581893,1.1054776488299674,1.2071211627370986,1.1953838190234582,1.195281050109544,1.0827699627221465,1.2000556633416426,1.1247907571386144,1.1158456185988048,1.0740747078084825,1.2169043596464177,1.0761787674791856,1.1453201028372366,1.0597898497017817,1.052573422026218,1.0801007691208568,0.9995555918366172,1.271646645608843,0.9863592323037678,0.9960565876728421,1.0786242677426612,0.9036200836073118,0.7949799936703525,0.7619486209436777,0.73071820637533,0.6505118130261861,0.6263516925088214,0.6787775194587488,0.609269637948829,0.7032086133391797,0.7792864322864385,0.6719177557736086,0.6350534925692531,0.5669666244060061,0.6027520475324223,0.6462613577582964,0.7037062877900745,0.7638322772840466,0.8010121424432879,0.8655257921829607,0.8876216065477169,0.9501521406150073,1.0542939349276612,0.9181253347481463,0.9827277957951753,0.8697897023017122,0.8190324594636818,0.9553439878486053,0.8006878066683512,0.754972689247246,0.6947044055256306,0.7025960229961669,0.6808550225781556,0.6657906633907159,0.6657038239090792,0.6917306690786854,0.7436460171156098,0.6832839696386453,0.7614204839009813,0.7709896519380519,0.7735009443840296,0.858863757838071,0.8671890071490443,1.0052968491529735,1.2965059674599395,1.1244942615203266,1.022743534431003,0.9484496957771795,0.9674547391537026,0.8980462370639201,0.90913794982758,0.7895881347152152,0.8135568014614886,0.7279097918572319,0.7552757321326432,0.7429879593375385,0.8508979706082352,0.8535969559596961,0.9250646857952326,1.00738113354522,0.96175187129738,0.8728566474253642,0.7815534480294372,0.7748663249842292,0.7917710789050272,0.8297879875427537,0.9069071050669714,0.9142823253107277,1.167696965343867,0.9020260948747788,1.032307992365187,0.8438856438312424,0.928169697984549,0.9345533286470098,0.9512607610809831,0.8988849162737174,1.0555721196895982,0.9846961175956055,1.088649619880773,1.156809810197533,1.1786613102456918,1.2735443418516912,1.2026698010191499,0.9807071682107984,0.9668676394126337,0.9362165875908601,1.0289133353226536,1.0933485197315473,1.0690860777960225,1.0903169675813735,1.0944168218035146,1.1936770850386702,1.1655964204589997,1.0950780319678142,1.1963894905073742,1.2682145114906942,1.2089186048548448,1.2285580649343109,1.3293561728129568,1.3505486539201794,1.3212795063132297,1.4114178547146958,1.4889944940267463,1.4256729162212853,1.5489939340002852,1.615460122588552,1.5505128201216876,1.6322356928558235,1.5447492111257608,1.4797973879161486,1.541835442744165,1.6031705146791593,2.968117947584708,1.8672853806241325,2.033976218462711,1.4567516848344066,1.502590715806764,1.4550402564582923,1.4523902475012604,1.4516893571633325,1.3530391051721131,1.4497951787118735,1.377628676695326,1.4945037686799438,1.3486105284257204,1.5085946395715712,1.3424966413511383,1.3200683098496904,1.2419739652138027,1.208363216845488,1.1810328866093147,1.2415415666115521,1.359645570453433,1.3815503944352736,1.6050272661136402,1.4368351045240182,1.3541958890079497,1.437869451454028,1.5206121623856312,1.3399562254161763,1.300024812223196,1.4005206242934765,1.3683397700940347,1.2871363713971986,1.456180035437193,1.5525373394800943,1.4495108405364538,1.4972067406174134,1.5908082724232764,1.5379381007424913,1.5088625636393864,1.4205137512434658,1.4514038471804982,1.5111277129136016,1.4088309777966244,1.3910461416057869,1.444977602884712,1.4461232422864572,1.3275340456861422,1.4091666869616382,1.5111710418166926,1.4233135332297986,1.3590804762600697,1.4360332232724082,1.6339141594125675,1.4541360414943012,1.4725941600101686,1.610950379648754,1.5944218467629707,1.794307709377659,1.5405991051059849,1.412451288544375,1.3866745166103243,1.5840896447191826,1.4802934564308765,1.4821316052048183,1.4181292378622345,1.2479744726879156,1.2101826569745067,1.0572357661603575,0.9898741084112743,1.161493395063838,1.0655069559421086,1.1377274030329205,1.5641638309785502,1.0187249079833398,1.1894322254090604,1.2112707832978442,1.1356564986013449,1.0272084404071409,1.3234970475394958,1.200490399325324,1.4537402890126063,2.555112063895015,3.642267285561679],[1.4861876789231945,1.2967614089837807,1.4088252521109466,0.9667845601528862,1.001230361227096,0.9182381650765051,0.8035330475892253,0.8592563996814646,0.6883832992446437,0.6372907644193118,0.6035005234748138,0.7008389992972698,0.6545407395226027,0.5673592248161634,0.7017988065791817,0.6921532855201844,0.6630392563478005,0.6989252174191737,0.655459636447003,0.6726707456106659,0.7343259356175911,0.7287702182603808,0.7457852123432873,0.8168892491047903,0.8095906160428655,0.6822567692204696,0.6402458601436898,0.6421638472121006,0.6910235165912623,0.7211591416261581,0.765301564317874,0.8076827524517058,0.8408494072623005,0.8428571753318232,0.8069779618119475,0.7185350898627696,0.7913614421981118,0.7198349040662988,0.7203143888979191,0.7449188267708498,0.7467781993750493,0.7614240202699569,0.7526811089806928,0.8483678522558851,0.9640628238957996,1.293036495001986,1.0715991022784177,0.8719604629193854,1.3164375785656817,1.3896399558407668,0.8770026978462343,2.273913098947918,1.076517740823838,0.9225560260701281,1.8705546989252224,1.3388076875798003,1.5118239629229029,1.0017148058392655,1.063687889812417,1.5549101218612977,0.952149703690596,1.209029945090616,1.2776206295643513,0.9873189422048521,0.7531678835526945,0.7670492705224803,0.8970707750714404,0.8174750352585363,0.8657619697950455,0.7929346825121923,0.9944850034913456,1.334832785849212,1.0004328786971244,1.0204762399043774,0.8265518074438754,1.3221619160068603,0.7986323261295672,0.8275261060262099,0.7807418197241605,0.833565628428581,0.8190254835943799,0.8947784931307143,1.3131741718762804,0.9522508068815643,0.7852136473548128,0.7854414713732473,0.7755908558049196,0.9071077589411606,0.7413640817451179,0.8551907470353961,0.8180102888847139,0.8561899836606247,0.8673595615464429,0.8421665459308089,0.7814418433201115,0.8515705449827404,0.8378145671785109,0.8243109289365924,0.8543695526408952,1.1055754963952198,0.9268492916923728,1.0418073660521812,0.9689752240400734,1.0484206666013531,1.0915524546213613,1.0722806080830851,1.3774903849096531,1.1038167894246023,1.1196158344622649,1.188074572123917,1.0327028872180946,0.8884139618632877,0.8260463668721606,0.8007661971273478,0.6653998996219671,0.654653165060789,0.6720128542631725,0.6353443478055346,0.6219261126408002,0.6640451001681569,0.5868634053962827,0.5732527417029577,0.5964576295430852,0.6339953590078413,0.7189289382786838,0.8002744128713227,0.881705670756032,0.9094649841215979,0.9798129353274069,0.9830199953150457,1.038146000988367,1.1324160929064895,1.0141192662441445,1.057154017472389,0.9616735616909157,0.9333743905829275,1.02426183308437,0.904381075578754,0.8393001994252557,0.7843029201995466,0.7998657280382213,0.7605085102587654,0.7137667048338587,0.6842132689860576,0.6462589382097949,0.6758281900261043,0.6805758485198239,0.7502461958710479,0.7828591353698034,0.8104333860615786,0.8966807091473744,0.8545796662157334,1.0206563514743967,1.260579353401096,1.0600905964233087,0.9427033596146064,0.850718245510689,0.9400465024135235,0.8379664327750411,0.9061893796178581,0.8320984630771011,0.7727834288773314,0.7825870942526713,0.7701923836212297,0.8223217223853645,0.8677336398797749,0.9289531094060203,0.9999771597197407,1.0581006551107202,1.0214449111675334,0.9453369051941934,0.8796745279528485,0.8504587080161807,0.8465984177594568,0.822809554391921,0.8919123937884353,0.8376513902594279,1.0872197963400205,0.8638201862032632,0.9880169062750995,0.8729256751673584,0.9749082264936256,0.9868657293721631,1.0147026834904553,0.9516027894063318,1.0716924672995627,0.977918888360051,1.039820625074647,1.1816701073392748,1.2306437473742227,1.3596191322294302,1.2948733476066736,1.0888423814494352,1.0702220749273705,1.0355514310589786,1.1007568453079561,1.1533337652944267,1.158781451528368,1.1446863167354757,1.1838951607516404,1.2438197422582569,1.2443851501318677,1.1776315676665734,1.2221289268182152,1.2895057415312055,1.2528692069899425,1.2397757254932946,1.2990304899930287,1.3389106097705818,1.3037959796396137,1.3403233069745817,1.3805799336080589,1.360191320661239,1.4304608514694523,1.4470452882720182,1.404587389586558,1.4621244299898164,1.3953374662542024,1.3645704367415186,1.4011121670007098,1.4705876438542334,2.7963282264874416,1.727717993590575,1.966305346149793,1.4067141805154446,1.4698213222237586,1.4631012393044869,1.4425373390693614,1.435745700682486,1.3537590249586202,1.4888675501848103,1.395821858067356,1.5093866964683074,1.3708072897722943,1.5131412905569932,1.3502027510938643,1.3163768825010864,1.2930964872101702,1.2331354030916482,1.249688222106806,1.29454232695379,1.4179594170837038,1.4534631920861387,1.5999650204226745,1.4949645723961633,1.412583843162706,1.4486271742552297,1.525788404194639,1.42698200720122,1.3410236845470125,1.4283417490861916,1.4249136271188683,1.334652428784827,1.4326945127298965,1.5248829598069187,1.4561812546938684,1.436243699506921,1.5029649872567,1.459446067955821,1.4499491814106356,1.4054176226443493,1.4123597903694696,1.422022726628227,1.3594447922970765,1.3540342421694163,1.3737963550813226,1.3725103890600356,1.2890598105193425,1.3460743639391144,1.4178717373916312,1.3565419797758875,1.3124172457554837,1.3608352564264707,1.5467353439868317,1.3767079935741393,1.3870997300785117,1.4818272905301508,1.4797363199056828,1.6547537926389253,1.4217724068289102,1.3404780315357914,1.3369452256718755,1.4881336313415285,1.434286178788769,1.434473416767277,1.4028277832646678,1.2594045381318992,1.2484568980892101,1.115464134357328,1.0785458376046357,1.2454938058997156,1.1631890528280706,1.2282662746764852,1.6433105117671456,1.1368571508117984,1.261896300797132,1.3118506671454875,1.1865107909597752,1.1156893849851663,1.3771252466955495,1.246742173128525,1.4670171776146181,2.57729481573329,3.5376081672326016],[1.1458131351095802,0.8590692927627951,0.9250330938528695,0.5642968136306199,0.6333132333372562,0.5603323716146069,0.49743078809978286,0.6263434716758973,0.5165771978987828,0.5013745017223764,0.5434212976049811,0.6648797448504061,0.5774216753093032,0.5060013721554887,0.6893387882539171,0.6615590175264191,0.6079452342490567,0.6647341858606521,0.6195797963146725,0.6223715081345098,0.686266021137548,0.6763567718509335,0.7046075150768802,0.7632504098491519,0.8192958012241356,0.6526023411156685,0.5514936694623433,0.5557948269679268,0.6261022729585749,0.6621072094444372,0.7610212009535868,0.7832486595301452,0.8360270418466104,0.8444178904254508,0.7866889522197027,0.6925851708129043,0.7377242386695693,0.6466854788474755,0.6022315333755466,0.6327122648559832,0.6419196454146464,0.6812153102079161,0.6822067696218808,0.7325092148598158,0.8577992997998255,1.233325919719619,0.9675519899335703,0.7602060379427232,1.2961813280867116,1.3909634120807288,0.8112487673509348,2.3179342748322345,1.0749829296680242,0.8647593091547479,1.7691469390847414,1.2605719149344243,1.4471032631144856,0.9617848967909792,1.04385064196121,1.503918222313709,0.9420306085289275,1.2192456624539987,1.269500300860806,0.9783969197126156,0.74555866775407,0.7495230468880094,0.8853708864819364,0.80413488438301,0.8461313095282821,0.79308676870853,0.9967309361258949,1.3359381800274581,1.0061994130572562,1.0079392694474685,0.8454370405489613,1.3253076230691336,0.8071496569404996,0.8329197281025517,0.7736625896821029,0.8130911197444957,0.7919550391326344,0.8233537498073794,1.2652008909463541,0.8514046860474572,0.6521745185383985,0.6909570567340892,0.7128342974246287,0.8711932128011657,0.7177474586315666,0.8530871810999631,0.8253058129117136,0.8719869527903531,0.8788124165787661,0.8512864453556656,0.7889550076570866,0.8642653291971472,0.8466934050185235,0.8212692662375,0.8351716861485647,1.078093683159326,0.880018300399714,0.938160800085366,0.8621793334258967,0.8845275843751876,0.8999503999151295,0.8212244192430989,1.1410554799948454,0.7631681460917329,0.7527488280099363,0.9191107915978274,0.6913819393809497,0.6015628439835284,0.5726941465657961,0.5695616676896433,0.5117146839821386,0.49608917726684326,0.548190140302205,0.4968651662515272,0.5565052548799104,0.6221715170599682,0.5320462352830899,0.5007895616952441,0.4662404133075022,0.46177518839192133,0.492900572722194,0.5182806265745812,0.5505963441334165,0.5828435680066891,0.615519934936985,0.6640773055160448,0.6661754801951677,0.795578359554473,0.658941797274177,0.7687422279704529,0.6285033114418468,0.6161073598222792,0.7295322227372522,0.5910394197496316,0.5745774332132007,0.5322143204975976,0.5712065534358391,0.5580764212402084,0.5507034143569696,0.520842487646671,0.5073873631007512,0.5524041560351792,0.5186832132793658,0.5980183084147686,0.5948213318042579,0.6252284142828102,0.6805196853005191,0.6921824453459335,0.9099760544320448,1.2637953460950453,1.0185927932137857,0.866292645427687,0.7563677507966017,0.7922410123167696,0.7243222303308557,0.7218963331192698,0.6184009727930171,0.6306487413593258,0.5753875135317663,0.587962233154231,0.5822825806987041,0.6939853608359609,0.6404333350025101,0.7191106925068278,0.7687526953209095,0.7538907382099818,0.6351104441146548,0.591659133114325,0.5922948315884132,0.6128665462473265,0.639579629884979,0.7263576838326495,0.7199407078928327,0.9849107196329824,0.7180894140002968,0.8477794472644816,0.6562680503037156,0.7336153105098309,0.7155318343020085,0.7280438959367886,0.6826890565641575,0.8867939606205311,0.8323557108246815,0.9336522547581888,1.0763873435499862,1.0581843105627633,1.1624081679977403,1.0838951603485394,0.7992206481661737,0.7493593603789297,0.6675495841204495,0.7362760181914489,0.825989127208493,0.742481779943254,0.7144031503866803,0.7787172786897744,0.7978289463414752,0.8287903744244316,0.7458681753758322,0.7528484125219905,0.8320450746587053,0.7975582190885596,0.7895123279209905,0.8123068382275233,0.8735774374358412,0.8163535292894372,0.8574383947299724,0.9052487118887972,0.8898272858545466,1.021564592122537,1.0010706530345577,0.9587053258765325,1.0141528867777945,0.9606262031051079,0.8960136992337313,0.9205018007254533,0.9888250163266668,2.6020192157851856,1.322810662380452,1.7320467997998177,0.9924345489604074,1.0995127090501204,1.1102009873608865,1.1102832019854059,1.0111681557273036,0.8936798952741191,1.1047210335797086,0.9737546502102293,1.068017376195016,0.9355166010781982,1.21188369338857,0.8961474241673478,0.896285095562652,0.9262737924087429,0.788545968225005,0.8416323201956531,0.9240658562757116,1.057455081837242,1.1626342366110527,1.3326160492732946,1.2514966049475544,1.1148787848478263,1.1193022969565174,1.2745689310120754,1.138763197588294,0.9711583696855911,1.0966954550462098,1.1038564070141652,0.9198309593655513,1.0314011996180998,1.1762097724812401,1.0624915483736461,1.0123825789167902,1.0946066172944227,1.0199631089874832,1.02243340809525,0.9838435142435132,0.991701866494673,0.9745120971302522,0.8874868286639699,0.9153656372727836,0.8915368515610231,0.8777621909486505,0.8073088948271274,0.8596072590175832,0.9248609666235235,0.871534681870354,0.8516937412337388,0.9008260583846351,1.0784654682181352,0.9152097384210671,0.9470640925792759,1.014390504848791,1.0811883648026128,1.219396973330126,0.986447664831827,0.8892379829895545,0.8718874403815792,1.0836196194893084,1.0078840224718564,1.0099928927029345,1.0190567954642475,0.8127544292807148,0.828051470217014,0.7042592711976684,0.6806541433955198,0.8041678172470776,0.7792400610311702,0.8344163909365523,1.4664645161451204,0.7546974576167866,0.8241786867255546,0.93213179014883,0.9706589218404778,0.7149074658822779,0.9337124524382595,0.9388665603828041,1.3552977864917661,2.4820065417589467,3.3604179439395634],[1.0680803402554786,0.7387873536074164,0.7638683449100341,0.41521736621908506,0.48905609671104117,0.4204204716350922,0.3381022158966153,0.4566516103944099,0.3604022634750189,0.3765630065205159,0.4338643889518319,0.5400357414232034,0.4402775831394006,0.40621059834277473,0.5823915925830172,0.5424658523192478,0.4967829600031513,0.5495074744436258,0.5187797317218233,0.500672984035868,0.555137497205167,0.559520086642219,0.6349394985067324,0.7173716354172434,0.8572975206116833,0.6066165344113452,0.4477972886829039,0.4423647680018976,0.4924687405743807,0.5272211518587577,0.6285422793728086,0.6354836778526766,0.6718442384364884,0.6936397718849291,0.6307680165297054,0.5393660923887792,0.5842851466680059,0.49976557582135556,0.4434588070613834,0.4635288476625261,0.5423437430257967,0.5439462580275362,0.5554349288604025,0.6168913610783807,0.789568385534386,1.2789489968844567,0.9984800508298357,0.6651588606444578,1.3013864924828307,1.4415419744782199,0.766588971150514,2.3304605645260037,0.9880460807279654,0.794763263995211,1.6689515500846217,1.0844624522451833,1.2867715997657558,0.8128532968329414,0.9134951423285544,1.4360824260675822,0.8729730654128376,1.1160675220308336,1.202657329815827,0.9326240247147198,0.6364980371873229,0.64497041396679,0.8104697464557094,0.6846704408522163,0.8219576085138407,0.7179203647764343,0.9538776296271987,1.223228939626389,0.9121068321623889,0.9200787943609862,0.7397577420808905,1.2228512283257535,0.6835851033637165,0.6756240291811133,0.6167495036100467,0.6561819930138297,0.6257299272588461,0.6696319410074385,1.1309057578074646,0.6501208726812441,0.5051554165911665,0.5203591756968758,0.5458624825580711,0.727161237933291,0.5522957867559514,0.7061583249587172,0.6765411805273515,0.7383511910103375,0.7273007529901683,0.6991659978904164,0.6507578280344849,0.7340802712245036,0.726149907045643,0.6787847068270003,0.6867732504039945,0.9138725405133977,0.6971747198087512,0.7427245268299425,0.6593641920712027,0.69195526483743,0.694360705025534,0.6604223706662006,0.9708092779173717,0.579749317859649,0.579138313806132,0.7787167672549888,0.5126179913259223,0.41016758314541235,0.3884727360686023,0.40825852553919484,0.38488122662089735,0.3865492387057445,0.46327359018821945,0.40132173693469664,0.49770874752265704,0.5511546925725538,0.48683210373137714,0.44089476550055834,0.382988405598031,0.35950853564379426,0.3511314477845248,0.38585418318952264,0.4066868842911881,0.4313210945142671,0.4428822246108236,0.4971414509162572,0.4829467883614248,0.6233447593995871,0.47367058909830734,0.6120250718004907,0.4550267366721417,0.4895191649304621,0.6467958851809064,0.4255441955969862,0.4238009858587788,0.3742021805383823,0.4569253099473368,0.4583546830864569,0.46455312268736537,0.4170357597254513,0.3902250110103882,0.42615252729564973,0.37444870962526794,0.4361173229595658,0.4206871286551994,0.45755020268813146,0.5195999448522135,0.5149115449182192,0.7498863871582231,1.2857717932824437,0.912569190439262,0.6889987297604853,0.5800554366185886,0.6024983642111643,0.5465835463281831,0.5616338177100914,0.4444541072174492,0.47538478032239667,0.4203839201248929,0.4268628813973295,0.43818427011840416,0.6191454041254258,0.4950544513398015,0.6047817246623308,0.6699405288736584,0.658041575732606,0.5023377205442033,0.4318127645370407,0.43757617815474764,0.45148493144584295,0.4583676354592096,0.5271679924801962,0.5414382933189718,0.8157368681583446,0.5230066975260559,0.6539696308819692,0.4669681759996082,0.5513182843213486,0.5359573466985176,0.5495142446254908,0.5398252575151091,0.7525441655107629,0.7256278295753852,0.7700916069154133,0.9904581974102259,0.9658147586327648,1.0594836596034232,0.9749370058793917,0.6834257626399051,0.6073694403311342,0.504838339676349,0.5535073681534431,0.6309592397661149,0.5420046565180379,0.5318324939500007,0.6125850492778284,0.5937570771834091,0.6384886298152638,0.5587981988689221,0.5656803151315851,0.62594181848904,0.6065067761866195,0.6526347222233222,0.6079523220369992,0.6811940546124597,0.6091437350556316,0.6597337176180532,0.6973640333733147,0.6901897755548699,0.8249551643325681,0.8040355045796587,0.7848831601083349,0.8255930061091912,0.796023721478915,0.6996518040483742,0.7362521138131326,0.8078359304242364,2.372858221271971,1.2082773049509854,1.6553390445633542,0.8076769329828357,0.899477227839318,0.9401680378035713,0.9325824708447901,0.8081713452645995,0.6835665108406671,0.9291237931898556,0.7658036171308045,0.8875534543594604,0.7457186526288294,1.0358580640597155,0.7628466886290692,0.7353185990890617,0.8291701906827162,0.6130463043727172,0.6468708901564801,0.7286316957684711,0.8815840731564645,0.9961670831002811,1.1651283531556003,1.0898694987172164,0.9512509758562622,0.9407329154771222,1.1170248259927993,1.0000922767143694,0.8030149410486215,0.9699685100891939,1.010121075382686,0.7621081109993891,0.870932653943527,1.068796546554445,0.9706699175127925,0.8493839234087898,0.9390987668712227,0.8424254404933357,0.8367927288591899,0.7914650620052152,0.7940504791595423,0.7826889737288515,0.695648583843013,0.713446999033898,0.6867630559077428,0.6829248897715923,0.6124100612609616,0.6639319151975953,0.7367216355183549,0.6687447752305368,0.6776417439044908,0.7237641323727625,0.9259024178940882,0.7608248960010205,0.8087906721777197,0.8794178214284938,0.9959913620882861,1.1244448483879317,0.8590716584858138,0.7238358059052189,0.6978025386054798,0.9569888978549128,0.8867597312952776,0.9035397238098408,0.9093883599609311,0.6846436009223781,0.6639370134206328,0.521543204169423,0.5012990372413415,0.6389967030896958,0.6090635520004342,0.6363720295975801,1.3513127531463525,0.5852377335287552,0.6222710769206462,0.7232086378272958,0.8501625953135331,0.5382128059103968,0.786260055291616,0.8135421552301283,1.444757627421564,2.4659827910488907,3.151650623522009],[1.008754950422724,0.6223960625113283,0.5664438913001861,0.37119173763566315,0.4211343290886601,0.38307719805869744,0.28295674631195394,0.3746070786691318,0.2992184153449809,0.31941217749929923,0.36524134286816057,0.4551212467139147,0.3591314534231451,0.3382737707577718,0.4973700354613209,0.45489451251555996,0.43807752018947266,0.4792245008451038,0.4591623886106215,0.4399443442727115,0.5117131212081535,0.5091339919514352,0.5867483028598245,0.6965652101647741,0.8211416385801997,0.5682421868514067,0.3861775527251561,0.3819783514285913,0.41994137979178864,0.44034729832648256,0.537277782728578,0.5353158889410801,0.560608962547869,0.5832698902539217,0.5213812438720381,0.4441223003891856,0.4858741757529433,0.4207451132543013,0.37022890738862807,0.3920470922041101,0.512515733262301,0.4900423902951951,0.5031579001205106,0.5729158534158451,0.7797751545781536,1.2758429929473927,0.9971505643208328,0.6220416873572677,1.296417555539793,1.4171086273762996,0.7364350882953506,2.346474701315856,0.9647280864971408,0.7876674217960679,1.6250409669942882,1.0255954801740739,1.2365995631949975,0.7364935089907364,0.8395541518965614,1.4175579410215675,0.823361940608724,1.0461554597621978,1.1182654287244327,0.8553353846733068,0.5795379030411123,0.5767454833099729,0.7450801730319597,0.6176731937759016,0.7654430925316404,0.6587517164097924,0.9161549886058912,1.185512617186889,0.8576155145275198,0.8725990844247733,0.6688384608915919,1.1647378692726957,0.6053693183454327,0.5724536969553536,0.5128754780326011,0.5768138986391942,0.5397340248010678,0.5981069226699172,1.0760806381599872,0.568647968270078,0.4400958865382076,0.4272944882461911,0.4637314389934501,0.6248667818528015,0.4543752927089904,0.6146270401297835,0.569991882851791,0.6510888952071179,0.621405958382555,0.5736557851027654,0.5382530936813622,0.6153255426019743,0.6263780550149024,0.562195718574094,0.583352550239443,0.8009250529278357,0.5832464901109559,0.6341737649550613,0.5335526852361301,0.5732583827209264,0.5769618555490476,0.5484942537973385,0.8502431181350577,0.4631245668563265,0.47975626435281654,0.6819406266250372,0.40924700900345323,0.319893506900688,0.30050100307381356,0.3503998664424551,0.32955624199777916,0.3530038485360828,0.4235458354304662,0.3698735608222895,0.4579499776226557,0.5125762801490943,0.4397895786638061,0.39661449542425836,0.3657340524064693,0.34363020629390945,0.32729300900285363,0.3485437609792556,0.3484940769715953,0.37213703049944474,0.35473966938250817,0.400318926029108,0.40067502065098426,0.5157650738702735,0.37772151769694434,0.5129072017996219,0.3927318590618098,0.44483396048083507,0.6306962428667763,0.3932117498833079,0.4228134699116734,0.3434847090715269,0.4464061688053967,0.4446804282268584,0.4307744995813621,0.38254132551949915,0.34970483139775677,0.3628989433230057,0.31526854039110136,0.3734626487329548,0.3381295627051672,0.373524908922727,0.42951471990183276,0.42006401878680355,0.7077607403466593,1.3787686804069224,0.8799641158658336,0.5853771950912555,0.4815709122434395,0.48800765653991357,0.4425132077469417,0.49002798190160274,0.366285968368926,0.3974025201233446,0.36384715125137185,0.36207178548533264,0.381250630717277,0.5971155689484857,0.4564114855290615,0.5784922194634815,0.6481961423844177,0.6447695945676692,0.46651873129249405,0.3800249930303705,0.37596458942535166,0.3781723221705033,0.37791953115455756,0.43365490851138083,0.43835998754436595,0.7077946452814551,0.42514194653625575,0.5479454254507288,0.3822012854120408,0.4446961964560423,0.42154528488810383,0.4392636501100019,0.447459881585429,0.6758422090639392,0.6779328041883232,0.7331258791073104,0.9641945629003545,0.9216285318989211,1.044347302555231,0.9691554205466738,0.6682320660055774,0.580633192417114,0.45700330252004007,0.49766261173971993,0.5916255616650067,0.45422822960235637,0.43806065252160475,0.5109726449893139,0.44752306712888007,0.4885619403018632,0.43038827585133055,0.4356833259375075,0.4775066652705796,0.4634825702469831,0.6041478548022694,0.48209344392546866,0.5267465988397798,0.48141317895250235,0.5462813383706766,0.5712261737466832,0.5815333170481701,0.7480080883240137,0.697542464835368,0.685740347324633,0.7061265446855963,0.7026531488661203,0.5817120568848476,0.5912633186656072,0.6480578886393256,2.267554961785653,1.0437662103035275,1.5838869075462332,0.6706170646375149,0.7623261153523636,0.791975751662423,0.7914737767135688,0.6529828207088522,0.5137890905540489,0.7855965028668703,0.644880912103542,0.7831203026950638,0.6213895036666689,0.9807342519333354,0.6553358610131158,0.6483144362222744,0.8067318293487555,0.5069141735737235,0.5420097958586121,0.6020430476925028,0.7471591352977959,0.8642137897238581,1.0155133886207126,0.9507416403274171,0.8015448554438186,0.7755321117963928,0.9720821023345712,0.8509683480742122,0.6451675666021898,0.8206235970286065,0.8751952106155894,0.6268882828563452,0.7126615001154838,0.9125944533606704,0.8583945028122669,0.7214026629535719,0.7937633714453121,0.6897321210585154,0.6618484160358187,0.6193147529395405,0.6175133253942434,0.6165095901170188,0.5496592852927427,0.562365253863039,0.5368752146920986,0.5511499108550441,0.48129286008063554,0.5203335706167642,0.6349372764199036,0.5554690835789042,0.5639609553216355,0.6295685667081571,0.8133905714824514,0.6962052142970536,0.7303888286726625,0.7937051061135459,0.9616182265075811,1.0025983184431777,0.7702010833247602,0.6566861570319763,0.5933877178309439,0.8653514643280732,0.7980728830748199,0.8278556584379041,0.8613588771348859,0.6266046518607282,0.5798249330902642,0.43565827710944177,0.42504825999746243,0.5113310339961139,0.4769630875195626,0.5065141153822675,1.3511271998687087,0.46456788786670805,0.4862556639384083,0.5874488126772088,0.813719585550082,0.45832424954842754,0.6324957649270608,0.8503239433994084,1.5324757277316494,2.341307847782418,3.0957060976811017],[1.0118800383490398,0.6403306714903328,0.5256219346305877,0.3779767164055544,0.4353780046046871,0.425782320704673,0.2975760097180672,0.35108483919462574,0.29005262657335645,0.28344699359823544,0.32945259664180276,0.41747334654590634,0.3255354247244825,0.32806830842796086,0.47629557078794993,0.43555844158951823,0.42203281570566836,0.4716963361016867,0.4832162506065938,0.4530518179282425,0.5362412078938723,0.5266764472088965,0.6213592573187168,0.7553312544603081,0.8156142809845462,0.6117542497954733,0.42002119328933035,0.3934845559334122,0.40345456291421616,0.42426932308102666,0.531825841669279,0.504596833323538,0.5540014667579911,0.562731198630276,0.4992790721892389,0.4537797262602185,0.4530787843670513,0.4273097589702645,0.3834162142566298,0.4251757148196593,0.5413948066706646,0.4985492016768836,0.49758833066233765,0.5797825660111388,0.7957088684663101,1.2818507886554802,1.043931526749855,0.6444021663192977,1.3557262083918957,1.3892844259531505,0.757582625153021,2.44171587029586,1.0589670056226594,0.9003511111182205,1.5532413932139773,0.9198831595174811,1.1058071288450837,0.7553187061057012,0.868340059550268,1.3076247194391424,0.8881657071223558,1.1013614305133181,1.2475958100707651,0.968803467182645,0.6039581507638141,0.606287634260517,0.7615567363200274,0.6029174015289323,0.7762995827308441,0.6400083540431599,0.887423589701483,1.2194709986322827,0.8474108667120848,0.8965414293234274,0.6656426684019261,1.2605768517014335,0.6025122063397509,0.5713665181392309,0.5133032397896649,0.5924724316652382,0.5291976368053388,0.5651926667885665,1.1223149573161735,0.574829098067616,0.4652954518175377,0.4272548336189643,0.45295027809509525,0.6036306398376902,0.4597842899022019,0.5894115394608545,0.5692914176885169,0.6780978639366114,0.6312683461905376,0.5718579842442284,0.5329741752869008,0.618409722723651,0.6146583703614301,0.5368669907293575,0.5470265112056202,0.7906393670281044,0.5433385391785802,0.5761180125024243,0.47529351011634724,0.5119688077933965,0.5291769711699285,0.5131617742329322,0.7713949109841035,0.4431561236064205,0.45597185879510843,0.6797020612271734,0.38784238308023256,0.31640189948472114,0.29828584145846915,0.3502376164829919,0.32509045675351245,0.35032735671091153,0.4231289567488886,0.3791682945428661,0.5102393995743697,0.5415061840174443,0.46867575030518016,0.4229186378747066,0.36782043854445157,0.35700950035422574,0.3387326414197801,0.3577951702301423,0.3582607981717525,0.3725315835085495,0.3506779766695821,0.397012079233912,0.3932812203087341,0.48507289154987854,0.3789322211368728,0.4917376082038147,0.397801645984885,0.4542664226181634,0.6307973892473862,0.40050743528977717,0.4254163597199707,0.35421763626506647,0.46751843479199956,0.4599053029396522,0.42719554846072844,0.3851901092792708,0.36579520445852476,0.3829090558899591,0.3256269588573467,0.35719768737859964,0.3383902640260899,0.3600250026732688,0.40152176988633453,0.3918834804147271,0.7119602759098237,1.5227730961296713,0.9269496338125759,0.5509014963217883,0.428873032103802,0.4325965484375813,0.41400571541949016,0.450370737634736,0.3651312176017026,0.39471955480076226,0.3587746338860748,0.3659359448196516,0.3922944483114162,0.6257284146080487,0.4602899903151889,0.5746898792961214,0.6336837616771753,0.631406531893097,0.46447092517970145,0.3909692187874704,0.39490036010964735,0.3645233609725955,0.3587631543813758,0.42679146215540587,0.4359534916218312,0.6925535355602194,0.42872295050537135,0.5309137613452287,0.35913428022993976,0.4112090371635202,0.3919783216159811,0.405303884145709,0.42653793249624616,0.6644321951343085,0.6796070391834449,0.7630922040374719,1.0053108579377203,0.893919760551212,1.0931321691739517,1.0250831282655182,0.7277352756409574,0.6174294855317448,0.4653849290044714,0.5013761430127909,0.5679975984976343,0.44005867562351586,0.44314617591652633,0.5087272083316744,0.42998961985261375,0.4711040208500195,0.4190214582900957,0.42967696079284695,0.4670019210076785,0.45945833686194154,0.6251479283318392,0.4827073357278896,0.5169926062643706,0.4808022252779302,0.5474186150065248,0.5693339387897112,0.583924167207113,0.7451297842402635,0.7051766214024221,0.6915420036844164,0.7072914609253848,0.7056789068855694,0.5831663227989803,0.5900061521390138,0.641070956974493,2.2102087250812636,1.0283391558281536,1.5904986624489303,0.6735199616393029,0.7455043817505189,0.7726961195373656,0.7834355104750725,0.6251966821194801,0.4943268614565134,0.7722118875501242,0.6404753140394492,0.758373059389158,0.595408665525882,0.9972057008992781,0.644988982243906,0.6442836429184606,0.8260733463073312,0.5072288808485164,0.5193509611691061,0.5919397477501955,0.7393340386493978,0.8575459012105056,0.9969556585781929,0.9468637584996435,0.7890200843170478,0.7512751287099868,0.9652069132880292,0.8230602831729321,0.6184689537431967,0.7903755324874828,0.842933015727345,0.6117245523181891,0.687185631636811,0.8818382454461534,0.8447778130034953,0.7122714262797172,0.7751848363266589,0.6767079445686042,0.6409775202753923,0.590965567767667,0.5940719121395495,0.5953955682315728,0.5397273275887631,0.539985184540068,0.5225973145741873,0.5442260797647019,0.47595968442766196,0.514399541016117,0.6486824002503541,0.5584996404936786,0.5621429561961552,0.6198335260160375,0.8235284019004555,0.7195969585766305,0.7430728918223325,0.8196813781701043,1.0255037758438132,0.9938866779021489,0.7856030556794308,0.6636589927556211,0.597908377492178,0.8707655947091169,0.8025419601310214,0.85094681096795,0.874756993485293,0.6551549501114837,0.5822115843957719,0.43777303148622243,0.4068107003402421,0.4917406493913394,0.44572355133512154,0.4870799572388761,1.3702934479072901,0.4426764327614865,0.4696549325712606,0.5618851151594747,0.8256581282455189,0.4589052752710751,0.624156089263931,0.8830581997631409,1.527824444651658,2.298201661997367,3.3017034847561018],[0.9539108196669559,0.6121830445006874,0.48010197619229866,0.3657677977124178,0.39170949483761824,0.4012093790344581,0.28841857770201806,0.3151940206432189,0.2715412244324754,0.2826813853280583,0.3293823446102379,0.4012172653898744,0.3363693648171094,0.3581883560778606,0.46166490677133487,0.4307630004030196,0.4481805189022307,0.4792208864956784,0.5062218268343313,0.4677381606057018,0.5659660993424387,0.5575309310054171,0.6817082787249196,0.8068549143804273,0.8261639624153214,0.6450921537363349,0.45201123535769455,0.4055520278020749,0.40926671154839167,0.435146618047068,0.5249742336488749,0.4781259926342923,0.5614649049254093,0.5483177837590028,0.4876105685032288,0.46162701616737406,0.4501524369892989,0.4355055319823312,0.40241477182669205,0.4242890384445928,0.5477482671967382,0.5020405715866082,0.5023360256162869,0.5819962974245014,0.8347373959393635,1.2918099014667739,1.1096881169779496,0.674182555742761,1.3190050803410438,1.3256091250001425,0.7231260124543206,2.435798861922579,1.07660060849456,0.9464018467880211,1.5036449469294846,0.8462674309155246,1.015841424696971,0.7774779443612702,0.872570112093762,1.2887447797270697,0.9282171042839473,1.090647479267511,1.2891142995855862,1.0228054901226948,0.6379852038782653,0.6398067769847277,0.7886052543275792,0.6032439770833651,0.8055441316438564,0.6335273318699929,0.8627572662776469,1.1878680949565699,0.816377419103366,0.9188275527857552,0.6662911809443042,1.3154263905436998,0.5948530528541317,0.5681274624325707,0.5227833870280305,0.6027080906510132,0.5082804561938659,0.542348968608894,1.1024990975571716,0.5405623006876912,0.4597101796717187,0.4115392517217133,0.4433198180006433,0.5878601965615304,0.47005869912364795,0.5776151893622933,0.566529288329684,0.7128498814857182,0.6397083917181874,0.5632249700025613,0.5228250941799323,0.6047919561414901,0.5935892866393578,0.5186350089571717,0.5237743854860197,0.755836468687208,0.5190406066768553,0.5428486420466903,0.4458709757385442,0.45693790354634345,0.47274091343706004,0.46103372956159494,0.6860655972001856,0.41601254854817415,0.4340854398269589,0.680401716028085,0.36880921449712867,0.29986924557944955,0.28520980907766597,0.32671576195979396,0.3251519585346842,0.3465066756904351,0.41552015056176117,0.3866470661162748,0.5545168041535697,0.5515435335851419,0.4987936103390654,0.44358228820305073,0.3563853652469883,0.35189905286241846,0.3214153500895544,0.3463388886020796,0.3409543050175971,0.36079226625761435,0.3351419025046802,0.37372176942249574,0.37129011969685277,0.4333006334232579,0.35445035184279067,0.45052900758579373,0.4024865393129586,0.4715667624846706,0.6240526477889233,0.38325477606590497,0.4063709634457725,0.3479268257078943,0.4688730653399186,0.49913499106630627,0.44137996358033604,0.40074705263545185,0.3905586318439607,0.39574955695451414,0.33246645328618435,0.35205750562974397,0.32881353116636897,0.3560829858219273,0.40347155226803527,0.4193222283825532,0.7208450292267229,1.6028971294551624,0.9969500931853246,0.5439842591892822,0.41344490636229275,0.39616249111821666,0.3904979066420604,0.41920673669946934,0.35285120973209205,0.3803314955708145,0.3504456743723334,0.3690341406177722,0.37614704951999745,0.6014706802098113,0.45833948769430644,0.5799861409086486,0.630289748814908,0.6244245646098817,0.4613599220523616,0.379124612924588,0.37805577965735376,0.3474779744895036,0.35208817243645163,0.4144339091654362,0.45229481800583815,0.6554825159449221,0.4299790329543183,0.5020553651369477,0.3502842231412055,0.36315785276601914,0.349651353284349,0.3705109372971116,0.408222122312178,0.6439530195974169,0.6669733039661496,0.7679381752013521,1.0231960985104998,0.8712837294577888,1.1061618384489604,1.0885932289340154,0.7906348751726989,0.6496158326841018,0.48507839898485294,0.4681295529220644,0.5052541720263052,0.42525727761261595,0.44443412686649286,0.5100577153634875,0.4115068449221233,0.4441771180504602,0.41557466536727,0.42973762704849605,0.43619778877221127,0.44078245778690384,0.6320453141618302,0.471424680056682,0.4868682522634915,0.46581953856447306,0.5318770493436895,0.543346720863371,0.568232091238014,0.6915679354353527,0.6792644878492822,0.6824590103432752,0.6859898045126722,0.6999140358148652,0.5752775192586634,0.5630999755501083,0.6213913889535356,2.102070583183365,1.0050830197208085,1.5559091470015758,0.6311460622885323,0.6795175991369107,0.7203483232053729,0.7310084216890783,0.5673711866039322,0.46201910166023474,0.7312950770341001,0.6283145710099725,0.7435173307431854,0.5684182409279996,0.9537131054896636,0.6612059482306262,0.6451811709598334,0.8748411965829557,0.5049968058293569,0.4808489941726678,0.5746705218465028,0.694327235527855,0.8195109906096169,0.9563278749311752,0.9212011790699997,0.7498160684292053,0.694616023610449,0.9376764612008742,0.7839851113645495,0.5751984534347859,0.734529043537379,0.8006471866187642,0.586400342084895,0.6443802433312011,0.835798322638679,0.827479694902729,0.6749481961736862,0.723679541806108,0.6331671912951139,0.5915659008356859,0.5404144468316713,0.5434915095621815,0.5437783308511552,0.4984701906161024,0.5039142178596714,0.4794154389936167,0.513421965957797,0.4602300101495029,0.4967994783819265,0.6506569701455528,0.5710710941156294,0.5691778399552135,0.6230828150244726,0.8497031421850844,0.7488694092035246,0.765216808660101,0.8807472013248351,1.0702760162722598,0.9957972231041822,0.7866604287521539,0.6704547918400621,0.5811454884569464,0.8418573643173529,0.7882313242798021,0.8616134804892216,0.8871834026634392,0.6660369779147319,0.5707028373421134,0.4416241719839553,0.40566835121236744,0.45171975169903733,0.440026711422579,0.4913869263699961,1.3907742550444615,0.4367922312680975,0.46142885261049554,0.5625338271699686,0.8284698379688198,0.47620631189882273,0.6097903338728582,0.9055697674057729,1.5672576044392417,2.2018783366530355,3.363436511860727],[1.0754426163204758,0.685926240812113,0.5044312065252976,0.3813823402241376,0.38412569767109683,0.41926910127774225,0.2946082199728338,0.341214635567695,0.3023780447255076,0.27848702479020937,0.3150501363158966,0.42473905809962603,0.3544118437866,0.34063738560558265,0.5193793783422699,0.4864677130658068,0.4695521293789488,0.5214634769098253,0.6055521325103825,0.5443820981240474,0.6658285365354849,0.6262600327010615,0.8068645465630816,0.9152805061187483,0.7605831169465044,0.6882190893036535,0.5061829093572535,0.4643122758052141,0.4706025936272751,0.4734906763852837,0.5863617794947562,0.535271317194078,0.6257843832235684,0.6226006880129892,0.5644833395879468,0.5285226521613203,0.5028010491957481,0.4871744095360557,0.45934827270528034,0.511295813603387,0.5752806271076749,0.5425197043183178,0.5473298091440616,0.5849014119533712,0.7598704320376317,1.1741680233219813,0.9892811119263265,0.6865935856066646,1.4082770302708412,1.2504887708214747,0.7588022537255606,2.6086666319722553,1.2982704944731533,1.0790813943588113,1.3831821785911498,0.829929784777159,0.9956702111992359,0.8400096785137181,1.008201910827563,1.208783334781808,1.105730637658539,1.306968653321792,1.5282567913926324,1.193576612812433,0.7285353958288614,0.7174235422195978,0.8970654553856464,0.6982681716288135,0.9080707921285122,0.7173694499297877,0.9665525769426109,1.3897182941186426,0.9146299257108274,1.0166387886374149,0.7469167830038573,1.3969373500377247,0.7101710046855884,0.6802568892377517,0.6270779043477686,0.6756784260794426,0.5997895600486575,0.5938095280307174,1.1557717350749324,0.6610622337614516,0.5192491164947964,0.4662019990882607,0.505979292587209,0.6475795314981697,0.5590335351713962,0.6692808566759416,0.666516719396235,0.7883112484967368,0.7129089074526375,0.6553310174255575,0.5933478859008229,0.6657972285645376,0.6498650128717,0.5656362615493332,0.5416015452842976,0.778985169167499,0.5590406433555241,0.5412701177849717,0.48193211135102915,0.48133759182423635,0.5054991805845676,0.4600450354956884,0.6959113497067722,0.43224150414749096,0.44481851885376783,0.6708144443453571,0.37234997046591517,0.3206895708385162,0.30391112164043144,0.35314425038480024,0.364172988041527,0.36783903256063827,0.4456920511948517,0.42738768649299075,0.578804449827822,0.6156622530406614,0.5059033602873102,0.46332357572796967,0.3723188843919554,0.3590485259820249,0.31879881818861056,0.3352098027555811,0.35115059721400926,0.3794106851471479,0.3365963333392931,0.39815379040220983,0.364745998389402,0.43780275400968316,0.35989830759101077,0.5374078864965709,0.4231293918273004,0.4357645391408446,0.5882696384649653,0.3873866421236505,0.4366494754981166,0.37585605248860193,0.507105677678568,0.510184571069028,0.4655670573930683,0.4569710073485574,0.4175241792568892,0.4566516740958667,0.37644973833347617,0.40034340117076206,0.37742933707651266,0.3699354672239573,0.40292597710268685,0.44499649306916556,0.7526420126922446,1.7053606626133346,1.0006138262922524,0.5586836614202377,0.4373691846136721,0.4176042168511014,0.45296876415839377,0.4591476496840797,0.3925246281161793,0.45901034102534555,0.38301913330002824,0.40505316032361394,0.4103401474090673,0.6010623800315777,0.46162422190958313,0.5344541836096148,0.5658690540368435,0.5832976810397219,0.4415417869681639,0.3888468457423826,0.4174412383089928,0.3932726744315657,0.40026024917396197,0.44148352028719035,0.46735375490848236,0.6728458439348193,0.4709486439885112,0.5547478155459341,0.39006547721509177,0.3988282521384314,0.3849295993399045,0.3962946216410435,0.4306528860600823,0.6818773135744184,0.6634960151759345,0.77376415070565,1.0695117924642397,0.7989530190589029,1.0997618597631629,1.1567966075092326,0.7821639757259469,0.6116578698540299,0.45916187640855344,0.4365474161495162,0.5278240375226919,0.3955151729903296,0.40445762894594905,0.46546903076304924,0.4225752006441746,0.47720381552356267,0.40815368340483993,0.4261067716644844,0.48179414456492353,0.48216870769962533,0.6126924105093058,0.494885024157238,0.5563175167167506,0.5105428722959338,0.5632769342310008,0.6028771205400458,0.6357074250097594,0.7576413686810796,0.7161530894320531,0.6971826892812641,0.7316817095238102,0.6922963628400468,0.5860913181527221,0.5939325726413346,0.6335624197336142,2.3097193781239715,1.004130565089307,1.592803756151542,0.7141838719078397,0.8074553498084971,0.8040053292663145,0.8331199244581591,0.6489461442825972,0.5129567097394088,0.7456506180473687,0.670951350931002,0.746259464708955,0.5581191894311653,0.9951053510664201,0.5653214731340162,0.6032386364156473,0.8176160055595795,0.4419865996817853,0.4985317851595282,0.6263854145511137,0.7360144309726194,0.888105192424245,1.030511929564777,0.9884375026030675,0.8026330137844662,0.7952060546735019,1.0359519079004411,0.838632929175817,0.6522800829429326,0.8219351138160776,0.8593979560290447,0.6639475620957832,0.7326342768029434,0.9066439325753194,0.8840540515315563,0.7626884542342358,0.8188116450525702,0.7164220695721901,0.6802099121672409,0.6296229893392293,0.6295524497146961,0.619731865266395,0.5521411325053669,0.5693088811962578,0.5274278014808843,0.5426055718992395,0.480304574896161,0.5089406536470066,0.6234841131550266,0.5692668208782891,0.5490213579627276,0.610464631621952,0.8211439411602909,0.7237194851340797,0.7419879280144301,0.8469587990080822,1.0610984723823838,0.9720988239527878,0.7655778582335903,0.6655937030816461,0.5860493173316893,0.8418664267043369,0.7461784276145466,0.8007011226258361,0.8451425603953849,0.6139210075020507,0.5314870670684825,0.4132910627637381,0.3927506486740365,0.4457038271119705,0.4418983319369522,0.5329514029282274,1.4632282483269987,0.4557519070227558,0.5054645320020393,0.6385654510605183,0.8552564340176977,0.5264666624735425,0.6893670310405645,0.9982108672651021,1.4456094952081273,2.196295807805729,3.48996874911137],[0.9563005215880526,0.6105571728100806,0.44609157477286226,0.3498382144389529,0.35443460836496204,0.37434691069354387,0.27806828420527185,0.28988072051053526,0.2713354365832313,0.2659832673070377,0.3142856949370193,0.3971525767635934,0.3534203072546664,0.3682992520900742,0.49153977252393016,0.4639925111853119,0.500446681017195,0.5428360974799225,0.6027672170485084,0.5528291226076992,0.6724294734606794,0.6623889321945136,0.8329405981061608,0.9630486262267312,0.8433034067984968,0.7385474742344119,0.5303531642085091,0.464553092593013,0.4689748280790246,0.472897935366087,0.5761249270638799,0.49631999955110806,0.599596512557873,0.6081296991251474,0.5384675550329475,0.5290266763742166,0.4731082598172192,0.48508992950119306,0.4672613977004469,0.4978168735267317,0.587855935863625,0.5479242079087344,0.5551970311120842,0.6080246680398389,0.8352615019915346,1.2633194767113514,1.1390822715633493,0.7066969705949646,1.3569765018559645,1.2596443372534183,0.7659815933033838,2.5208479261223538,1.222564232994195,1.0515618566927745,1.394632636624919,0.7812803603084661,0.9126529215783721,0.842196481040881,0.9699449195705429,1.2357424828291745,1.0596919750996854,1.2000111319864746,1.4592049505748286,1.2124207742123465,0.7437176208286236,0.7407242783862907,0.8975774891751237,0.6869880639268524,0.9271415942477529,0.7035759728029493,0.9153624987462636,1.2588462982781297,0.8690211701063817,1.0113988604473165,0.7467274477953324,1.432180404599806,0.6985069953734724,0.6682719736526139,0.6191649529379296,0.6946115358561038,0.5717042809851742,0.5788248377461749,1.125538227693362,0.5975560595720246,0.5290629912177202,0.4577619389478512,0.5097508682467564,0.6235713624440454,0.565903934122029,0.6521446607731127,0.6497249980481997,0.8168937090622835,0.7309949378920451,0.6379494521372765,0.5689209996744594,0.6432987595171888,0.6006259652427046,0.5265496583145234,0.5081705328295101,0.7263584509771589,0.5232413659534977,0.49449357624901213,0.44298962941168984,0.43742632106549884,0.47428363001460827,0.4299383871317474,0.6382792294113772,0.3852305078382737,0.39310805913380786,0.6431890331544095,0.32265360139984045,0.2972922424501576,0.2807025496429136,0.32815508525733567,0.34863968671986967,0.36813367887594334,0.44278039641803346,0.43331556365473356,0.6220143556151294,0.6296587013189907,0.5506204174617567,0.5003986012333372,0.35124992979737313,0.3318069110283037,0.29743016185127086,0.31697400191873487,0.3072999670203986,0.331737570605711,0.3050765633306544,0.3741839852509271,0.3308986585775292,0.39226422904504965,0.3240671648760118,0.47820397901586364,0.40721918110134836,0.46786037998763624,0.5937547318276817,0.3765175251637631,0.4140413508729785,0.37009646238623584,0.5044256982379619,0.5555505073532357,0.4829104665960122,0.4605836358404597,0.4320153242326173,0.45571465009645196,0.3721961826570563,0.3868500639893678,0.3446150862362399,0.3317912691351099,0.3762877714210172,0.4316405511258374,0.7182749032909966,1.665487382762015,1.0468211807199155,0.5313071367235136,0.39314070097296644,0.3749079903571492,0.39973920559356196,0.4104221125537074,0.3730215803680286,0.4499576146029182,0.38092290972397413,0.4006345571693986,0.4043047595505285,0.6044028300042337,0.46463907747233285,0.5857510914125369,0.5979242042184224,0.5981769799073928,0.45940644531883185,0.39268963042443533,0.42062854302486974,0.37934501786856917,0.37906925889842624,0.4246215515883992,0.457861191348993,0.6436556913026177,0.4645001036454577,0.4917034991110731,0.390170489622785,0.36428278330161296,0.37413045215495633,0.3794584535535002,0.42487941193954604,0.6690701886364168,0.7082259080569729,0.8389875065620225,1.0755409595162957,0.8633498397895251,1.1310636971403218,1.1567383714531543,0.8097182990334437,0.6217777262232933,0.48388885939161125,0.44245952293098295,0.46615324122727586,0.3810214103748026,0.3979617878543101,0.4680059629915654,0.37902553887126844,0.42068083549683094,0.38311220168955057,0.39586860013997316,0.4132902375475834,0.4238078922490421,0.6016900814180031,0.44042405799159806,0.47405591214084325,0.442379458205746,0.5039973071585991,0.5313470834347374,0.5656293748937093,0.6593668157948146,0.6670452150270366,0.66391946105512,0.6908973640923961,0.6808373424602996,0.5457893943429859,0.5509228591418605,0.6092508256172764,2.085319064209254,0.977439740663181,1.521791395236629,0.6056685788758639,0.6736855426393608,0.7146513896175111,0.7394628242230895,0.5406358121148575,0.4313601765649661,0.7094115754125017,0.6290275056314433,0.7088251843625165,0.526137585444407,0.9262358373776294,0.6242893528543649,0.6134000945558323,0.8827261516652019,0.4700102357493551,0.4628182565985422,0.5696188841129721,0.6764022664378753,0.8234766506377125,0.949419339270275,0.9212142567195889,0.7380825396529426,0.7085637737161086,0.9515407586603747,0.7851571870401202,0.5763199656333642,0.7405898260594628,0.8015048255246924,0.5882549903227271,0.6441439677470453,0.8303101496743541,0.8346673878217569,0.6801490337455527,0.7236479625670512,0.6320130166559993,0.5761932126323009,0.5272846681143885,0.5295080707277516,0.5276123422403635,0.4729685198682737,0.47326006792101366,0.45139714855878993,0.49119622295787363,0.42172412802477105,0.4626707518876587,0.6408084882617308,0.5570506517862461,0.5417940563626471,0.6064956366531578,0.8428304215371903,0.7603396869784382,0.7637368839649815,0.8983477007326912,1.0927230709088571,0.9763458731757224,0.7736480469991079,0.6555653904232764,0.5601825242901309,0.8197739077868166,0.7666230050301807,0.8539448763692514,0.8854449332177136,0.6488587663201096,0.530653349450146,0.3850910096865695,0.3509395008127576,0.411285377743278,0.41037094719190537,0.4731556130844639,1.4025889487767136,0.41438518972352434,0.4457520936928643,0.5758278324042616,0.8069366334406671,0.4622326332362542,0.6063708391304857,0.9348327671687311,1.52473746942238,2.164168068174235,3.4333990261972436],[0.9908603039968523,0.6348466188162726,0.4645353452737794,0.3678628201684079,0.37544044124935355,0.39744916742448316,0.3222173443304076,0.3585733666870035,0.339156068138265,0.34006053552963006,0.39148226370422395,0.5134629813343441,0.451623774436553,0.4279226554691286,0.5803666339553062,0.5737182864310513,0.5747192137361882,0.6004655438335973,0.6875961490154626,0.620892230831023,0.7265934698646328,0.714818404802351,0.9359827387830476,1.0554783874264124,0.8476380535835017,0.7943794537686693,0.5933575242501592,0.5498877182006111,0.5438160842998943,0.5579583475427484,0.6761028409026436,0.6125916586803896,0.7604954361051781,0.7332290874286714,0.6677161882202906,0.6426658164055198,0.5873177706220806,0.5723669158364655,0.5524431331023459,0.5914735438514143,0.6454770265230593,0.5922415579936589,0.60919094295722,0.6467242273062161,0.8400793160791404,1.2643715557662412,1.156056363842058,0.7547521595334656,1.4486430668636592,1.2484323001760365,0.8016564213442448,2.6642016060133127,1.4194670350810008,1.2052785895385016,1.354709868409913,0.7925886817433391,0.857709094557787,0.929478367296148,1.1022648547447915,1.2301101335838363,1.2291555326867403,1.395148097752335,1.693987599513976,1.4092043969762627,0.8297178028385538,0.8601685042562702,0.9583249934771892,0.7439300435726376,1.0182362911991851,0.7508341657679629,0.9586888851258178,1.3458079691056937,0.9048996849260059,1.0866001922685053,0.8244434506368341,1.5491020540112086,0.7940399867113934,0.8018760992480769,0.7477189587123784,0.8113716086345997,0.6971197230773634,0.6410602403667608,1.1994796251893947,0.6948637429411514,0.5985208803100013,0.542146921197318,0.5901524339907577,0.7176218083711752,0.682217790579229,0.7746550529307956,0.7676941177491918,0.9479848985457242,0.845024192907987,0.7788981200331718,0.6879203775962816,0.7610973220971097,0.7014333515280337,0.6444506475225097,0.5941377161318743,0.8118030530138911,0.6155269340104816,0.5651820093383148,0.5414509806982342,0.5175017174902332,0.5237881306447765,0.4568090809911723,0.6541728915117819,0.43935228026131784,0.4554696268550286,0.7036184532533166,0.38110577248226507,0.36625008575555096,0.35024128084712775,0.38573603215813923,0.4314865073656188,0.42818473883636793,0.5196741864461099,0.520415405717893,0.707918097409413,0.7190036834767538,0.6207906353084738,0.568892455306637,0.41533037973739756,0.38642278438601385,0.3281834715407239,0.34434265286013155,0.3451258229044805,0.3987620271503591,0.35424110637161954,0.42648145771791673,0.3721646041598893,0.42597110582536085,0.3913677708296572,0.5272817194612939,0.47536988816207143,0.5139657522174749,0.6308607528806768,0.4354051154256024,0.4923674700714701,0.441291203119113,0.5804063902127548,0.6142251072170472,0.5386891454636791,0.5534310030717449,0.5232950256793693,0.5421593072790184,0.47054241673497305,0.4612810161185853,0.42581342005333905,0.40246076749676696,0.4370340637793434,0.517594006526535,0.7938326184080963,1.7294570819321742,1.1180629911065896,0.6154504510387068,0.49058769738344504,0.4514493055546849,0.5102467955586483,0.48240489112352425,0.4463134122496728,0.5295247385907341,0.45974537910015006,0.48651852741661045,0.4751116663942123,0.647759866741539,0.5294697838090014,0.6243096422827611,0.6377354779526061,0.6438492700692987,0.5099475468046425,0.4585076272734656,0.495688410840284,0.4654956812730679,0.4726261994103742,0.5025362422351712,0.5318594515257221,0.7093711235036336,0.5277787096939165,0.5681962928488643,0.46195235615905644,0.42876221840893153,0.4414909000107566,0.4396775403461405,0.4819468888700994,0.668613425485534,0.6843525899626612,0.8702495168686858,1.110872732123888,0.8304118466161888,1.1475553230215247,1.2334593372690894,0.871310659824519,0.6767902648297971,0.5347851697096185,0.4714356878349176,0.499852538600734,0.4099449462668943,0.4270760397341845,0.47935134767951154,0.39692661624297626,0.44598233860719133,0.39956041997250025,0.4178091376221453,0.44405118814503935,0.4517882039759252,0.6077906592595166,0.4664048017882659,0.5093357166872622,0.47358168101348014,0.530759889868859,0.5603483159373845,0.5937560375206555,0.6785503658374827,0.6831950071569063,0.6787366253885717,0.7167955206139361,0.699252736359909,0.5580892406218225,0.570136858109386,0.6299698121129791,2.1336047703928687,0.9832285668088647,1.534781651215147,0.6346106114481587,0.7027354007519706,0.732710827097772,0.7624447883111157,0.5566726368114451,0.4505482144059308,0.724544988048095,0.6557839442658309,0.7139789086635578,0.5332803644465731,0.9392778564105497,0.6275853770288118,0.6284846911669562,0.9074689187660792,0.47302589508352616,0.4866127845160171,0.6039515107094269,0.696075007284595,0.8671271841991035,0.9858110670694297,0.9651440974439237,0.7741009079837224,0.7420688771736946,1.0011220444494224,0.8136275255932901,0.613742781829892,0.7834682052377118,0.8358920174539712,0.62916256808687,0.6900636459999001,0.878748929880796,0.871778741618252,0.719782580963956,0.7703384352905871,0.6677883185623135,0.6231696577283342,0.5718924403836155,0.5704863992612627,0.5661136079503009,0.5075362476384236,0.508835752525937,0.4769869314307731,0.5090580382573161,0.44822904406569813,0.4841123722840071,0.6426045362237378,0.5700442621388913,0.5525068122354732,0.6256525712108606,0.8385575539589535,0.7658818700711751,0.7758780865659918,0.9244299443302766,1.1200889287522027,0.9853009430773576,0.7882984093957965,0.677558906584635,0.5802795767666964,0.8307888597881152,0.7727344648780545,0.8570078100637543,0.8815869003154413,0.6417439792233344,0.5347601288129933,0.41492086476667867,0.38219094708071405,0.42471810333087123,0.43789872387491474,0.5097597112657327,1.4585313935320545,0.4458438822528453,0.47735486635612534,0.6183215680859419,0.8556908556820257,0.501101018685513,0.6588927647411145,0.9927137768281394,1.5266137613526556,2.196344937193903,3.5236803128639176],[1.0429168099264752,0.6925747637448794,0.541681492922077,0.39327807741735354,0.3949991012716244,0.44888982963221186,0.31889881196629066,0.3620704865099583,0.33124443793151753,0.3188862931413104,0.3707856974551691,0.46732472061315655,0.4153814893968108,0.3940994909844969,0.534407492520788,0.5248681754416622,0.5294931512360433,0.565464456342417,0.6636395758634425,0.5897130242319835,0.7282732842231634,0.707617821211879,0.9270462202382629,1.043553355053049,0.7973839781554285,0.7564619582346824,0.548315373996111,0.5111079488934386,0.5075070285501962,0.50718929197757,0.652703926304937,0.5847783440297615,0.7462532773646672,0.6978590127776327,0.637228659663497,0.6061873853484806,0.5593620224766026,0.5283982114956387,0.511173109324216,0.5665224539670446,0.6162449382495813,0.5684076374353826,0.5766510298639731,0.6155371737956378,0.8070679619649197,1.2260292191847528,1.1118808342333046,0.7011101348408734,1.414463513129193,1.2311691896725308,0.7808906782525223,2.6492307636530095,1.4038827286823727,1.2077576369883662,1.3903713306624286,0.7854715584217593,0.859466070464623,0.9028679726108356,1.0867237101802565,1.1803818782123223,1.2102464432815387,1.392984595315962,1.6835247985796935,1.4014854330651656,0.8281224528900901,0.813162684370049,0.9348742579492477,0.7313179542217959,0.9902010655586715,0.7385579819697777,0.9765638853431756,1.4120196555275137,0.9360285301238224,1.1131069843426435,0.8094366053411483,1.544474436735708,0.7975495745660262,0.7925428990869846,0.7254738997596373,0.7697284430062156,0.6768886178129971,0.6320176666502931,1.2115129995297966,0.6973800435824093,0.5597866869931959,0.5163592447258664,0.549998606816829,0.6943440183709557,0.6352640765936989,0.7468827687157338,0.7411646022762615,0.9113500202661969,0.821297356528726,0.7516265825551735,0.6608093018513699,0.7380439650062744,0.6885820205875697,0.6273712180101892,0.5815218625193347,0.838620357026945,0.6029688214382228,0.5703627466823129,0.5242459108258066,0.5123290080513149,0.5402461178199305,0.489227459065459,0.7100214604820132,0.42646429288652804,0.4355910489761314,0.6800371867389967,0.3723910120283785,0.3373646026314696,0.309674796457251,0.3611163448001399,0.38534735848297913,0.3982584562359117,0.48199047857625543,0.48082421976654915,0.6608060726526076,0.686541093547803,0.5835960211792857,0.5256400914929961,0.38978707827781,0.3594015315943377,0.3254945498762443,0.32430295714183344,0.34815553850226455,0.3889463145334001,0.33315984074924826,0.4063089505227416,0.3559189642908017,0.42465466629953075,0.36105515386812154,0.5078262362963162,0.43283617855088025,0.4700453125533591,0.6032116702201582,0.39823987373526876,0.4474146814963606,0.39858144558537706,0.5381914563197365,0.5772917684537798,0.4971426026827439,0.5100048988320198,0.47423482817875606,0.49380514218584903,0.42519647423421025,0.43859136679836025,0.4092328447704338,0.3870702668897387,0.42503944608557576,0.4734972278368809,0.8000564638667197,1.7180275170571817,1.0519123904845022,0.6105774331353511,0.4591809225983849,0.4422952614272534,0.48879763699750817,0.4651868701887622,0.4136078706730836,0.4917786272951438,0.415094826125118,0.43554863736495447,0.42927463518180015,0.6219635333567543,0.4851820411576199,0.5870345723420303,0.609582124053942,0.6170227063369449,0.47655452142886795,0.41466918900994065,0.4489158736221318,0.4257878278155367,0.4398916356543345,0.4963467710573397,0.5218314244316441,0.7269611087022877,0.5190280359765141,0.5855313873689666,0.42825494250749363,0.42256623762959183,0.4150511540021667,0.4246724732177827,0.45074637093914305,0.6737546129768541,0.6906113839727049,0.8273130022198982,1.1370969717490602,0.8169837285031452,1.1555108400686958,1.2246978343694293,0.8370728501364495,0.649744166591708,0.4999154026271844,0.4530695046647369,0.5004470015345305,0.40159289977440876,0.4315016799395714,0.5055668395034969,0.45182396033931593,0.5041805875033192,0.44457504780383245,0.4581528843712585,0.5070724205574962,0.5101837188413073,0.6341354163430245,0.5346903604241393,0.5907148824172667,0.5486813570098682,0.6088108088943582,0.6435752166724804,0.6712061809539519,0.7496926605451784,0.74687964972229,0.7318522449084174,0.7736931539020665,0.7504264639953807,0.630365704239966,0.6554249387589172,0.7072860983765702,2.2365506524277547,1.0826910525731797,1.6078382638740376,0.7371414086705873,0.8120224847071045,0.8203087401889027,0.8127521871882549,0.6658004306052152,0.5315795450951504,0.7706795817770385,0.6714968137691425,0.7464775897067748,0.5729271475944223,0.9759497061844697,0.6349333972517028,0.642491521190233,0.8647424255690759,0.5056763253442841,0.5106191374608408,0.635368275426596,0.7572299732483697,0.9096571277690466,1.0771610564909762,1.0101260947057515,0.8280443794492446,0.8199953572651197,1.0505565173513964,0.8750357041848309,0.6735281560950369,0.8514987946547502,0.8893364942202401,0.6935014151345659,0.7706189175134525,0.9521032666412361,0.9124829923251543,0.7881152054399303,0.8572107942433865,0.7506655106451818,0.718423825958225,0.6565096633659029,0.6579477798512129,0.6584781461014003,0.5928153339151164,0.5992836054221724,0.5709530884862715,0.5884275618698711,0.5137335312884381,0.5559762868749573,0.6839354169552282,0.606663587319839,0.5943091742724889,0.652599503894302,0.8930671199221937,0.7850892565630249,0.8084455637956711,0.926674390887176,1.1106302697900525,1.0797034758735988,0.8336550883071907,0.6976896703844774,0.6290348480264494,0.8765305605108518,0.8204297315970653,0.8967274391886407,0.8996516857051582,0.6733840051736658,0.5648967374603452,0.4304697784601088,0.3979368414258225,0.4768648450140167,0.46537308133607086,0.5585765435557662,1.450240672312709,0.48279939809734,0.5361995568238438,0.6716014605309334,0.8832853918794991,0.5328284955910277,0.724693046435201,0.9722612794660853,1.4803176012052148,2.2583048410018995,3.467016108710698],[0.9954425590347664,0.6642381082112425,0.5392654806801642,0.38600336360934473,0.39946938262405945,0.41943765982449405,0.2872559607474096,0.32783933314773633,0.28528728542704607,0.28575692442780853,0.3299098484169844,0.4221614256689097,0.3580369707153281,0.35957926354078623,0.5058047385447717,0.4809535794755336,0.4867082863473928,0.5280931421868392,0.6157796140795027,0.5478891305737232,0.6669570441256775,0.6529250880917605,0.8378942607196248,0.9670782085366779,0.8354773773367487,0.7371950730057779,0.5168403442617413,0.46052045222915206,0.46293471077762366,0.47678060928707905,0.5963083004536445,0.5328885498217246,0.6631980715306827,0.6434434496239362,0.5699233536404003,0.5424198166053233,0.4975953087517874,0.48117460350577923,0.46121192718625154,0.49938634956535416,0.5823902867331888,0.536017284496196,0.5491612985852511,0.585391736832765,0.8001215653980729,1.251415840506206,1.1136685592562394,0.6934336780311525,1.3788841286311755,1.2682861360933966,0.7620998459014828,2.567141710567443,1.2724674357438888,1.07164743781089,1.3957293927312848,0.7935345182171907,0.9182509319674631,0.8521793510345765,1.0065635899756447,1.2220686624936794,1.1223140302451862,1.2968964313995677,1.5643696752508662,1.28556869171421,0.7477552933696148,0.7632559934501909,0.9104319487423891,0.6919127286698096,0.9524415072140587,0.7179535720192733,0.9456625173697984,1.32738538668136,0.9074446091792827,1.05644420194987,0.7689223359171896,1.4873427902716974,0.730954501025388,0.7138442755059626,0.6501295057381528,0.7045124768357537,0.599052335820932,0.5906506179150952,1.1547761854381537,0.6151488606855045,0.5112195535681809,0.460213932018831,0.4995045019991348,0.636391410946523,0.5713642042612912,0.6875596103991767,0.6838477682575033,0.8443986789641448,0.7570992252890455,0.6860190349828968,0.6074790516479592,0.6916863923973888,0.6512097325596506,0.5756643824238077,0.5392089672372415,0.7834528950040581,0.5476324393839314,0.5385710580164825,0.4603547407000997,0.47324718813244837,0.4989394332893232,0.4596931995801264,0.7076300358577575,0.41170397974738077,0.42557387215440007,0.6784426425695478,0.3620132159824425,0.297570625261556,0.27402055350298765,0.3110761425873444,0.33188068841133855,0.3445864554991495,0.4345755815438186,0.4218344980336142,0.6074082768696173,0.6382763313390672,0.5467168501739297,0.48862756558141734,0.34042923275918546,0.318928051036243,0.29863783784386766,0.3183079461400465,0.32555786896384575,0.37352881207233224,0.32594246524930004,0.37755162792225755,0.3620524909335674,0.43018874784120303,0.3483958662446239,0.4907004459140827,0.41028596133398526,0.47488440117856234,0.5910791352438366,0.3655904848154283,0.4175587019715153,0.3580837367251054,0.5062978294122522,0.5264543442462875,0.46376432006623947,0.4452072162453673,0.4241993757939148,0.4454407955445682,0.3663377580952923,0.37653797427866137,0.3466310996939645,0.34777905140118964,0.39483950648999083,0.4342617543132069,0.7626728767374671,1.6748030525366147,1.008961967823177,0.5706419053547532,0.4114602685392214,0.4059459138016272,0.43230035114424237,0.4196041392105319,0.3677993903205468,0.43104219615033756,0.3793608653162541,0.39986721923830143,0.3980858486698872,0.62075590249469,0.4710017000234659,0.5966505263830024,0.6297603947661421,0.6259844665926313,0.46156708409990177,0.38644968345704195,0.413646103232686,0.37554477115832546,0.3756300430270608,0.44373127843905086,0.47170186134920183,0.6665353665379011,0.4569127069453524,0.5175314520831065,0.36901552122972586,0.3750606689809997,0.3655419069289069,0.38261777792629575,0.41932128202593777,0.6482771897414144,0.670957871650302,0.8045145571896831,1.0788386647811008,0.8495735480307274,1.1283683355444996,1.1545337247068168,0.7989385999130111,0.6350887583892332,0.4886256923164985,0.4710513409577012,0.5155622110722655,0.4086246163150265,0.44027222207428346,0.5127556078046934,0.4447124666838242,0.48903534172233615,0.4385298670361539,0.4549868087955961,0.4839914137199256,0.48528673577659154,0.6234435122131351,0.5093424513536178,0.5527432285284795,0.5194290012946398,0.5817583725835325,0.6182315604298745,0.6383843629531291,0.7226622092426167,0.7281488859815237,0.7051734716267809,0.7564234268253466,0.7309498090420782,0.6124391270700675,0.6231560905609154,0.6859844584626226,2.157420436247097,1.0738048500120085,1.5733087721742463,0.6823949279130941,0.7449517991319082,0.7713228989316984,0.7651937046925847,0.6300953581336903,0.5106154505705282,0.7662213712163866,0.6687198775219115,0.7763954931311198,0.5928340690932123,0.9453226758871882,0.6739343211273282,0.6600378402017028,0.878390455976029,0.5231991571285921,0.5034646272220001,0.6189844016037384,0.7440691900673341,0.8807543450526344,1.0150328934516892,0.9693808475591937,0.8072731178884603,0.7715190341418435,1.0006125334188596,0.8383483258447675,0.6405347684018183,0.8079265091728356,0.8574660687654702,0.6480736225790148,0.7269157764768639,0.9171651210716286,0.8885405492379884,0.7489019759294157,0.8122221245861252,0.7123850803342237,0.676631480574345,0.6145049683861864,0.6151062912636545,0.6226410823517615,0.5625129469612127,0.5726293381160475,0.5433630133631346,0.570251886052933,0.49549670104964993,0.5345745396403381,0.6900212908277304,0.6039695481540324,0.5961419165554306,0.643833588158861,0.8990955512536292,0.7785050817816253,0.8005626912973873,0.9134184040269104,1.0868458579662204,1.0733978478002324,0.8189637423534086,0.6817404957157185,0.6124550520089037,0.8632174837380566,0.8361514675041779,0.9167073170434863,0.92646036784139,0.6936956287668445,0.5900898561191124,0.43895713471923414,0.3932204896191364,0.49566582827598277,0.46295316369051137,0.5327541405284841,1.4369388192354184,0.46282033601410305,0.5087372358137596,0.6313187505546007,0.8550889358346443,0.5117551121257837,0.6961751088060647,0.924614564595656,1.51387690499544,2.274006492775969,3.4255628704212477],[1.0526506980225103,0.7149953216965885,0.6019922488434968,0.40785888177173396,0.43167590951718793,0.44982490780408185,0.3191496843142344,0.36348754483743445,0.31234264595107164,0.3005859210721626,0.33074453487172223,0.4309809981414299,0.34745851649948845,0.3405893040105998,0.5009471660641182,0.4674634267412039,0.4439496990073726,0.49894157605514206,0.5508806128906161,0.5017934454515444,0.6091425661127288,0.5821318135550074,0.7311387301716668,0.8578732906894999,0.7921361804294987,0.6654512792089369,0.45409909112455155,0.42041385852230473,0.4300558841416723,0.4612091583017605,0.5642075607798736,0.5291809075930526,0.6223907242858352,0.6046342699211771,0.5393474376065269,0.4960180348137012,0.4829825509399332,0.448394947609839,0.41441207587867623,0.45344438115357427,0.5500360889591235,0.5089132557373651,0.5095112166260349,0.572501613906038,0.8000090881019046,1.2494046787274022,1.0711329637340568,0.6559972081404751,1.332247124791681,1.2880629498432552,0.7360168035507567,2.5114631613649885,1.180877604115088,0.9890184620814462,1.462264236560444,0.8412375239812624,1.0101032805431698,0.804327770961362,0.9369039308327,1.2343748764355877,1.0234283684772467,1.227538393521872,1.4515365437751198,1.1591641746417143,0.6823889721315478,0.6842538439644479,0.866589383652984,0.6492071968171752,0.8698229470593652,0.6826610140624024,0.9151217153153964,1.3013233731043428,0.8819951626901092,0.9927143197509468,0.7255358717835538,1.3855163877841905,0.6768814117337435,0.6468563292099136,0.591927511091947,0.6520181461525211,0.5613565996298171,0.5642562881172164,1.1423811241099595,0.6145278714165539,0.4789267385415185,0.4367961916783921,0.4677798517459107,0.6317105752930772,0.5186939909858543,0.6415503060525614,0.6360649034013242,0.7698057196523291,0.6983330019716886,0.6398510749554667,0.5774509973217872,0.6623609159437498,0.6379319423630855,0.5650830324203963,0.5517377019949454,0.8009525381009818,0.5568905236823061,0.5800270993520712,0.4844452876216852,0.5053846168523268,0.5192551880605816,0.4985052967870787,0.7804502241498152,0.45525948462323684,0.46736407948101527,0.7134692276430481,0.4080639887238529,0.33388963779181213,0.31474004073534534,0.3459341908490861,0.340666892733088,0.35478710318951334,0.4211260359998719,0.38623141477285494,0.566681485106611,0.5906294117412147,0.49941767340855237,0.45594558491999954,0.343907543953213,0.34937652511695244,0.32750640230945155,0.35080604825023004,0.37101373501620477,0.39396043144735027,0.363752895021729,0.4148395438444615,0.4094496587098563,0.498945046473884,0.3705134971408565,0.4989525800865636,0.41081457502200114,0.4569650819647583,0.6113894646777679,0.3710047706003965,0.40056325543872434,0.3358609462282328,0.46564491925012785,0.49766809377256777,0.4421871399880004,0.41608226130519166,0.389260190681505,0.41403063919389693,0.34520884110921357,0.3807612777733646,0.35086774382283753,0.3744385866878526,0.41824228713133826,0.4321918674900692,0.760440302390211,1.6183218295730966,0.9537122306457534,0.577426274655052,0.44142206416116553,0.44227469327145735,0.44388625008511406,0.45468194143680674,0.3672989717370345,0.4341575651120792,0.36486122617537536,0.37149892970703974,0.3827078891297983,0.5928904486458114,0.4538335649543658,0.5687639438541725,0.6264168273547731,0.622013141328564,0.46000309194470046,0.3717062372229156,0.38102300733560607,0.35766402233799294,0.3757992811911808,0.43949989974600634,0.46827637988800475,0.6918911600736694,0.4521048169588341,0.5482215784958723,0.35150841265325866,0.40189631749449384,0.3878529838366768,0.3897744521645145,0.4069320277726508,0.6470446000766535,0.6473002960550367,0.7509612164546337,1.03245728466915,0.8574561927154384,1.098216224004192,1.09965599359752,0.7765689226565816,0.6291820374563215,0.46735220958869966,0.47829390693124224,0.5516331479877625,0.455914118388259,0.4825001688644267,0.5560047659171072,0.49065914853105386,0.5218862822254882,0.4784886123526698,0.4982185871948297,0.5251296700571654,0.5218225889719393,0.6542449375188399,0.5515670355947507,0.5838814769513514,0.5574415350011777,0.6230787108173184,0.6481432791939031,0.6581953283103273,0.7718232491820752,0.7597092413299307,0.745735473679116,0.7829773470167265,0.7641382239864296,0.649628895551239,0.6629546370988948,0.7253019300794279,2.2460277703314158,1.1065247602243267,1.5842076822856406,0.7073112047021782,0.7763502887702389,0.8027801499944363,0.8025785341070235,0.675680900313702,0.5566045233385281,0.7984759692605529,0.7040334210201818,0.8212828628392572,0.6374236877146342,0.9595454975992638,0.7064366810153067,0.6781227941974688,0.8789503773344954,0.5564499781050659,0.538712901786783,0.6336440628375776,0.7676894237973756,0.8852931501712107,1.0440838448865746,0.9756826891430583,0.8209785407964526,0.7961585147742047,1.0202208592125215,0.8566259833035713,0.6649199790460919,0.827227347501782,0.8722287018474829,0.665457374520095,0.7474543595463041,0.9344558204185137,0.8908767680358046,0.7640346351273545,0.8310908861434919,0.7380654951494521,0.7056879329853593,0.6485973957060968,0.6524915043034161,0.6611756252791726,0.6017431807616535,0.6167813837691507,0.5847907659160616,0.6046900945124486,0.538017291572592,0.5732921470713694,0.7097866661317351,0.63727175558053,0.628527644496383,0.6681286874099314,0.9004416478935083,0.7760369854719775,0.8068716072720616,0.9059749704990391,1.0774704931155186,1.0942021159427047,0.8430154424228057,0.7179191040496959,0.6563902678490908,0.9023552832216408,0.8604189643049698,0.9231816982162268,0.927182113128577,0.7084752792151806,0.6304339241659173,0.490440058423181,0.4539208875795043,0.5433977385548276,0.512366128247501,0.5750119540986549,1.4512286990924192,0.49833399732134576,0.5437481678091978,0.6639941089045993,0.898864653014327,0.5351764618933671,0.7322813757532307,0.9296228629804633,1.5107626896739943,2.3014844875445086,3.397373058384119],[0.9254240007155375,0.6415279412377444,0.5452611122166817,0.41088278293837,0.43376973101577354,0.43153565403454625,0.3050081507841889,0.3308965851253891,0.28428322306364323,0.28556321574094945,0.3165799408306628,0.3841506931369631,0.31887496731035436,0.3497557078110805,0.4721208402402508,0.42618354028784766,0.4488156635444492,0.4832034478552449,0.5265643893746986,0.48233385503897785,0.5989424594679845,0.5996869778534465,0.7381646644544607,0.8676157249480106,0.8519020582268889,0.6849862195284517,0.46511956321080106,0.4139141011500896,0.4105850177348998,0.4327601464904745,0.539350096054513,0.482394100734953,0.5725050011845908,0.5645176611765164,0.4982487915964722,0.4696229587901403,0.44612614922203037,0.43722537068608247,0.4065615230246622,0.4318268281520129,0.5458338779420974,0.5076359252929107,0.5048114159216444,0.5869908193093909,0.8411221762741113,1.2982696341618933,1.1677940614294435,0.6878419799704487,1.2980963909815868,1.3121358252056863,0.7265708640690344,2.4246815575785576,1.0928975252448496,0.9492844387690205,1.4516848788662235,0.7995523376016049,0.9585927515909884,0.7766894781894071,0.8782545859958956,1.2544715476871873,0.9521512887776973,1.1095993155852524,1.3473220804540744,1.1125903976068172,0.6889794242937503,0.6753369797807713,0.8355103301870774,0.6216656271983407,0.8710361931751707,0.6543694032859876,0.8611782877351007,1.2171432070510728,0.8363115836726434,0.9826435700268482,0.6982252577546058,1.3754295103557173,0.6326952756963135,0.6032665930819662,0.5508329435378778,0.6306793829411578,0.5093075176770607,0.5406143667077166,1.1035461266738529,0.5341264951977294,0.4770928414180604,0.40233564153125545,0.44320061803877076,0.5878164808777296,0.48631534344119604,0.6003672593487998,0.5917220590307403,0.751701401324912,0.6807158900755056,0.5951791224192579,0.5404326311788114,0.6182853788950519,0.5907352891429081,0.5188143520815806,0.5150400973903685,0.7628440331799425,0.5098359507692947,0.538802271412538,0.4405474914860563,0.4800452923087042,0.5065001293081719,0.47845347719620757,0.7014244221438509,0.43104455330055347,0.45558284893688983,0.6632115708344001,0.39012471418789985,0.3105935774039283,0.28844765965766916,0.32148572159607064,0.32167551406436623,0.3484515371372201,0.41657540686227673,0.4068985091399403,0.5794549428007494,0.5847391203571232,0.5198241904349585,0.4660762561825642,0.3589370652271508,0.33247161443874756,0.3149538782565572,0.3502972749844219,0.34863581006511096,0.37601357989422435,0.3448555602477878,0.38950057456982196,0.3928804822737203,0.4521536842156158,0.37255372034146406,0.4722662925430364,0.4011655429652146,0.4911379556290478,0.6241463179264064,0.38969818185611665,0.4150542539661793,0.35834065178325436,0.5015898664311773,0.5378244716769154,0.4548866144659925,0.4115926130174651,0.3974340422705687,0.3985080288456242,0.3328674125442108,0.3598335818167908,0.32752353949492524,0.3549040101728259,0.41083016244723164,0.4127525612548594,0.7101022324195848,1.5675404259867205,0.9869419450479368,0.5457411970704413,0.4065801559479848,0.40145389184998975,0.3848481012021373,0.4239638208980826,0.3594725986435947,0.39127986009180726,0.3555217107398092,0.3654582896839794,0.39989169955827164,0.6263150629279062,0.48901741625765427,0.6400538550653555,0.6760738712421405,0.6638176030733788,0.4952449886935293,0.3916547157232373,0.39554928682780716,0.36890449010056664,0.3555976272252127,0.4180672889719793,0.44088486310234865,0.6535442960400304,0.4305134340229319,0.48211310212362074,0.35664585648825836,0.37457312241846924,0.36481015182590065,0.4014760303953066,0.4329461342442352,0.6621310315830384,0.6980253288699243,0.8207297168844134,1.0622392990268175,0.9104200599678128,1.1392887818047606,1.096490700022114,0.7996000199962883,0.6529850293243047,0.5295923710086795,0.5021282119288331,0.5155271020699361,0.46271288128529525,0.49109284222411864,0.5557748951170519,0.4696193809310455,0.5083407292219928,0.4707168487845498,0.4810778232027881,0.4976975660900259,0.4989618402576285,0.6597363222272897,0.529743864890949,0.5567828313322964,0.5270390781771429,0.591931080410278,0.6209042472289831,0.6409036596060014,0.7196018487868161,0.738025322942924,0.7209474292019494,0.781725084907676,0.7481998697663471,0.6283538943489974,0.6397949162876483,0.7032054443033782,2.0285874461822115,1.0835072032596615,1.5861144301781807,0.6942014310265594,0.736560137467307,0.777902700371544,0.7482082421111578,0.6518771694622465,0.5325119622221477,0.7625663089785826,0.6534319507045765,0.8005002525619263,0.6204924730994938,0.9540185058056733,0.7191190408336668,0.6915990527145978,0.9161573583455854,0.5759333156976183,0.5268366946601897,0.6103924694356889,0.7386822396667546,0.8415235463476617,0.9977860448144005,0.9446290550386317,0.7875713460231121,0.7665230049430705,0.9656737088719342,0.8390777794796024,0.6453392190928566,0.8202950591334516,0.8871604254875618,0.6553392378123978,0.7252709718957164,0.9281189152816144,0.907834943424335,0.7511328819147264,0.8124086258999033,0.712225777785881,0.6752180526306484,0.6139940313959017,0.6094903617781751,0.6240324229709733,0.5714172143118044,0.5624959692511889,0.5597836947349958,0.5946031077208459,0.5211435409800979,0.5636941791656577,0.748744234406555,0.6271372757108125,0.6289900643935326,0.6768914518916302,0.9112888869900774,0.8023643695163648,0.8161721987859113,0.9437756611467287,1.092204830854421,1.1027520516975238,0.8413510423601236,0.7039012139791927,0.6285770494130735,0.8841238629493834,0.8702765089481765,0.9525966284130616,0.9649156967331677,0.7458516227787627,0.6327497988293349,0.477690937344128,0.4263605920011147,0.5367693734431296,0.47752259363092886,0.5157203183505275,1.3846207381846969,0.4676323386743868,0.5078090547714541,0.5883318559498287,0.7933079409785732,0.49043454392308816,0.6609814252876514,0.8516955453357823,1.5509330877287264,2.3024484432064773,3.30596424186585],[0.9104107140165263,0.6123635884067802,0.6386134626127269,0.4084242459676928,0.44149187901126935,0.43138264254345426,0.3063843445598941,0.3788612223662322,0.3047102630753955,0.3047664998104125,0.35933013681127945,0.43722318298058593,0.35763711512736784,0.36208038353963584,0.49894369823836765,0.4628318454966227,0.4348347895029253,0.4842264261033163,0.4811316218844623,0.4550643359197261,0.5576095362396829,0.5466714195388487,0.6769387397600529,0.7875120732070978,0.8410942581005113,0.626767508118479,0.41719367799959856,0.3846382186949379,0.413256247386736,0.4555501545249706,0.5572579047879036,0.5417959069516238,0.5871616736549353,0.5975992322305816,0.5317452628703148,0.46800060627635776,0.4896234734794824,0.43545784155995354,0.3863795297500413,0.4220188275745665,0.5172487244471041,0.4916663785323658,0.4889408449101948,0.5758517258282586,0.8203863886850555,1.3070573173367515,1.1035671791283985,0.6641546265206575,1.291423140664756,1.3682340235490151,0.7248468851343892,2.3862168209728143,1.020383993338497,0.8568935541012014,1.5309770133676546,0.899752257726138,1.0844399786565317,0.7596587546833381,0.8611299528060286,1.313362763389805,0.8774302034955345,1.0778302266021433,1.2630377054994015,0.9812939098246983,0.627841909401711,0.6202691000975057,0.783145184339496,0.6175840758980252,0.8230778015744656,0.6487731006473642,0.874715181241511,1.2348049449859502,0.8466775624647017,0.9471836154006008,0.6970744428260204,1.3062427615117063,0.6264797398587366,0.6111380892321914,0.5538870787141881,0.614646314343185,0.5403006305355393,0.5862881801197252,1.1193809114051279,0.5684721393213942,0.47235293826656033,0.437272839037324,0.4551144129574797,0.6200357459598465,0.48364090928569153,0.6243184476727448,0.6047207158347921,0.7284939508942324,0.6796484862803146,0.6150284171181382,0.5674691776192247,0.6513814953285145,0.6441932963687054,0.5809514143286886,0.5900419601821786,0.832249507409327,0.5886225452763126,0.6415050026573897,0.5249560991781739,0.5691731253489032,0.5583771224606029,0.5303635496261924,0.8158681822913176,0.48386205100608326,0.513432143537621,0.682572879203429,0.4403643551602554,0.3064262645511848,0.291314420715961,0.33328011809911856,0.3207468304569675,0.33164624108418084,0.4090666300237129,0.36242335341571247,0.5276373226908985,0.540411277759196,0.47230331305951445,0.43223902156909483,0.3367248296573149,0.30825752373267296,0.2964908646885715,0.3491732046213653,0.36315852681650923,0.3671788525288894,0.3708869642471641,0.4068941938417561,0.4231394920177656,0.4860807103938136,0.3978120976064522,0.5050118540397934,0.41921112851216374,0.503889113941418,0.66886053182813,0.3766213692669818,0.372898934053803,0.32567635657841665,0.4490105939318973,0.4869973267305324,0.42712774561368494,0.3776096201296313,0.36383109087239107,0.37250207710476846,0.32186016932889744,0.3697936281313672,0.3541026250114159,0.3895299050014533,0.45045936717755064,0.45070890234875,0.7394388532006361,1.4718250793772403,0.9227577715390584,0.6152809882912457,0.4925588377452305,0.4837053942948211,0.4538460552512048,0.5000465752700679,0.35874053490960317,0.4033123834919071,0.34762640605180317,0.35760205903846903,0.3786829685001127,0.6298933721961532,0.4843435247763583,0.618413174966505,0.6821461916956855,0.6696787562483434,0.5015013855703715,0.3780230044215577,0.38246305884642606,0.3713350342752454,0.3687279207326536,0.4427870614793877,0.4577041097733767,0.7008493642582592,0.4432096455183403,0.5424869982848035,0.3796863183726552,0.4356424847315489,0.4139867016388056,0.4366186140806775,0.46752624476705423,0.6764050906127979,0.6852321074687908,0.7434831737582768,1.006036607536967,0.9263949438442713,1.0850572205679143,0.9806742386234675,0.7247322550555934,0.6247685221096007,0.5218229979108592,0.5325631345614787,0.5876005589815096,0.5091417119192713,0.5111882235049914,0.5747591639254002,0.5243079375866687,0.5519372705266844,0.5106295272201963,0.5200217684349875,0.5569409609262982,0.5489598143839629,0.6795432487347843,0.5662046416375838,0.6138978882402242,0.5749765737974417,0.6406073775306043,0.6759717117087244,0.6783837455363815,0.7680439146822555,0.7863180098341109,0.7266684115479453,0.8233008383070787,0.7650374773073477,0.6866968749988244,0.687049883888053,0.7528310152535541,2.156646087925126,1.119865472720194,1.554464476656385,0.7307609374512631,0.8212131747492784,0.8683483624926602,0.8312623949085355,0.7492538636892895,0.5803173822400798,0.7789700235844317,0.6586255348732881,0.8197365596763286,0.6490799244217251,0.9597105569126564,0.7523623850073533,0.734962968614255,0.9363032709471109,0.6152564599018773,0.6013295411154591,0.6427610800977893,0.7834974278464547,0.871118744483065,1.068811501290239,0.9664911116947348,0.8230489613940182,0.8283588865883686,0.9981014021833708,0.8823822845322533,0.7074100681441702,0.8825357618419923,0.9344039666011233,0.704772906576291,0.8018399254779376,0.9840934150543065,0.9294660813308766,0.7999598282582823,0.883797824722364,0.7777116398195305,0.7456047360752401,0.690789302424877,0.680233931975172,0.7098936089194339,0.6284381824940947,0.6050017184501019,0.6197146809687945,0.6436649923040897,0.5621985802804454,0.5868088751846102,0.7568882852108009,0.6450059032556482,0.6579050192430356,0.7328247534310749,0.9486709420699231,0.807754090780801,0.7948816068042275,0.8896835450980989,1.0043087584925503,1.093147041048825,0.8461337991809,0.7047237609089269,0.6587433142615561,0.9058029510131407,0.8966236675083223,0.951009213727082,0.9522387008246911,0.7467766258091477,0.6574241595327637,0.4983900913979864,0.46078414368634013,0.605657125511027,0.5296263086167895,0.5787215360124344,1.384773869461009,0.5157049022577946,0.5549996239320502,0.6390868804442084,0.8159821127118067,0.531475856416312,0.7090303372846424,0.878419266187602,1.610224825568962,2.535672611129427,3.3102854767980894],[0.8905341277287053,0.622211166534812,0.6607926286724294,0.32691751161685967,0.40313289301147803,0.3764922185064853,0.26146302605221194,0.36366217016138297,0.29925048662428755,0.32090747622068444,0.35850924230621595,0.44869835313107714,0.3455718232622128,0.3605617077325462,0.48258131584444475,0.43813214027468367,0.4208603313155052,0.4674484823269631,0.457132620877766,0.42954434498143285,0.5080519689011714,0.5203408900679245,0.6475643830551382,0.7534075768606906,0.8965492502230391,0.6226252207844903,0.4165598652778718,0.3702776485658327,0.39451998297712015,0.4274856962564648,0.531141621689005,0.5143082563669893,0.5440018286738606,0.5627394642654054,0.4961030239685207,0.4413350690369209,0.46267847301229803,0.4036243122748614,0.3573704774504323,0.39141342368150744,0.5293859937959706,0.4892732844045257,0.4905216737787327,0.5932854058053498,0.8330291032048491,1.360538182770914,1.1433568928272384,0.6579318734184313,1.282193201915383,1.4343916101928595,0.7343293272249868,2.317935049433527,0.9332409356116849,0.8135905444492612,1.613812198531294,0.9437777174709162,1.1281990526013308,0.7293973110418874,0.8285214224751462,1.373980921961575,0.8267523915712824,1.0171232797353655,1.159221376709142,0.9325734618453506,0.5838085753207101,0.5850975470820562,0.740020046078382,0.5850046270208908,0.7983651906043109,0.6247698650082877,0.8679957380904959,1.1654364834871367,0.8087390212673138,0.8933012175573477,0.6711386301901654,1.2474129308739026,0.5849408860811882,0.5678329498507799,0.507609557308669,0.5701623741439041,0.5031092274813097,0.5598311146658905,1.080819933893792,0.5295650909733516,0.4438274202592396,0.4164211307837503,0.4287197121867577,0.5995574851693577,0.44554767875750495,0.5817408001226525,0.5687747077080607,0.6860013732776247,0.6470859590842449,0.5835564982010017,0.5460889361715644,0.6331824824089788,0.6327417018212463,0.5527527623242713,0.5624583704081679,0.8194604625265693,0.567628277247749,0.6216869223003778,0.5291289483462301,0.5919612319784169,0.5654013855828174,0.5444594882317715,0.845129045906756,0.48197263890123004,0.505287714342107,0.706756369825055,0.4293889475772753,0.32605142892598027,0.29248613669851664,0.33595974670380535,0.306438232513526,0.31908584940841395,0.40976754890352696,0.35307067628806404,0.5013542263634176,0.5289101015605889,0.47079586580495225,0.43303058939414085,0.32371729350971656,0.30600226305129097,0.28853180942682044,0.33212927651996466,0.3479509010884846,0.36068281573404776,0.350159354503458,0.39653543169704114,0.39488953345021754,0.5111591771624727,0.37097238697532897,0.4932826820965268,0.367872299296749,0.4695580172363524,0.6281354609028564,0.3413989527657297,0.3726992441742609,0.308211058910334,0.43289333353384984,0.4691468419718029,0.43472942822077587,0.3725698671929603,0.35314307075317075,0.34766547921594065,0.29762594778237994,0.34056807149816554,0.3210001762722527,0.36151542598486985,0.43992664500158224,0.42386992600087586,0.7098164041993247,1.3479291469980723,0.890336751988319,0.5923088443290413,0.468402299762451,0.48973092983467026,0.4291629805967955,0.48243134478088245,0.34257384777200195,0.36779481158486765,0.3234338423231658,0.33254561206589056,0.3561902033694399,0.6167573990405548,0.446133583951805,0.6045084193451611,0.6566417461591233,0.6445379012116487,0.45716136324816026,0.34837261106192896,0.3526919758063677,0.34656268857014366,0.3506681439752217,0.4289569563512785,0.4479335589917733,0.7157471957269399,0.4187086786811755,0.5208704176744668,0.35750480489179304,0.4211342152399279,0.3943884117944123,0.42266971903690737,0.4385354459100896,0.65022830648937,0.6800666833465494,0.7405426164530919,0.9616598801270321,0.9581650755009236,1.0612618043388817,0.9468376856676272,0.7037489712075852,0.609201063618434,0.49258186173536433,0.49699614012780885,0.5445642208717293,0.464987066961971,0.46963119133468695,0.5635067571595432,0.5228708047106376,0.5712699690853084,0.5086258610277892,0.5065200599853388,0.5628627256483738,0.5551639307419509,0.6426888134347568,0.5588722572589416,0.634710669273431,0.5587654197470915,0.617145022004534,0.6683046115443536,0.6770122808527614,0.7408838372936233,0.766534879965036,0.7202505044364154,0.8187428408469842,0.7672527457013129,0.6687687438743917,0.6977627191987108,0.7804423867231999,2.104548267082229,1.2155587887122379,1.6254838324757572,0.7548115274576674,0.8140185446020658,0.8540398621462709,0.8061633296624656,0.7348310069426586,0.5971136386847936,0.8285902103506106,0.6756029328545101,0.8458900298964357,0.6756614566220097,0.9239115171455811,0.7760226062825063,0.7126203517044803,0.8592937988740518,0.5827371178400126,0.5747567798678513,0.6299965728609433,0.7918102549134699,0.8977317079759701,1.0821359958378112,0.9939321445194194,0.8595073749619205,0.8471696329493987,1.0152565673487306,0.927431169760574,0.7314343235120739,0.9187387983009987,0.9828717046428908,0.729215211879794,0.839626683601646,1.0523728664383802,0.9913271502931724,0.8272326962869389,0.9161909518947459,0.806410348693474,0.7862526148591258,0.7309332937311931,0.7217010306631206,0.7272106031815184,0.6481712222983992,0.6442342995398609,0.6304152682960703,0.6400443825986368,0.5626005370747063,0.6100872376188039,0.7443917909939559,0.6286898283055199,0.6435221438554954,0.6977868606590164,0.9409728703583708,0.7727950986055265,0.7894766925474962,0.8799655156798187,0.983209702209825,1.1371616488486556,0.8395680794997248,0.68526939073603,0.6378160324550958,0.8981109655275189,0.8822850655372975,0.9323744093327591,0.9229486840976542,0.7079434067527066,0.6120665908374269,0.46184358299852374,0.4219802747991789,0.6035204904732822,0.5455903180164907,0.5595496929856925,1.2756871444516327,0.5124285358459452,0.5504518567150787,0.6434504082311645,0.7764555115482212,0.43619499432318964,0.7138504463188975,0.7096693520795201,1.499993746159806,2.3961395717448193,3.0532934145892083],[0.8213448785061906,0.6664231205658591,0.8091617051402898,0.38940046294097636,0.5023545570644458,0.46257622666549386,0.3394742190299935,0.419028169320136,0.3371475041850342,0.3407504174777019,0.3734527644145498,0.4580703808990725,0.3586578379265703,0.38814876485496463,0.49442296837345756,0.4500124994764942,0.4417929545995443,0.4838115233272073,0.48460560590018886,0.45603423211266525,0.5464192803843282,0.5539116708084434,0.6677365348036494,0.7845565526308051,0.9401843917508675,0.6551478853872477,0.44617880626560047,0.39027385572052525,0.40998729713306525,0.44062825181407245,0.5445465455838682,0.5212516841424598,0.5635086515445518,0.5841551897840546,0.5119022529481468,0.4614643138467278,0.47591597727310453,0.4255010489957518,0.3808520820686635,0.41421143131546273,0.5550317695927498,0.4996163007649139,0.5080743667954246,0.6119401857893038,0.8710195306596278,1.4037880399536296,1.2278038478989113,0.6879882428700117,1.2509401560801088,1.450619779730109,0.7589820402091095,2.2850068019892547,0.927993801530176,0.8109912914171156,1.6252141104869164,0.940637635890217,1.1182126084091752,0.7407589941310935,0.8468231571113353,1.4034770564321404,0.8706416648574113,1.0643079037177183,1.2363208269856756,1.0078637706777798,0.6189537134693661,0.6387261726371358,0.8056573348342252,0.6141739198502782,0.8473397153535478,0.6615144184291559,0.8857677688066832,1.1661234476993534,0.829423510099381,0.9351678881195492,0.6981005864144901,1.2936339000642711,0.6136890166158288,0.5960116667723954,0.5335109538145698,0.5925100935900979,0.5153512575814334,0.5753457661361727,1.0778635531822787,0.5345755553077781,0.4606980342492941,0.4266134744850459,0.4382357096161353,0.6148087316660258,0.4670550721291591,0.5963762359193644,0.5919042157068192,0.7324472812150138,0.6776635713952802,0.6109565948482714,0.5660071044961512,0.6665250499234705,0.6482357177848992,0.5726872860650307,0.5708598043952201,0.823486335464251,0.5720652284561124,0.6514691479823751,0.5477650094819964,0.6295944529862237,0.6079088111225677,0.6135342884408764,0.9057473068698125,0.5871085277717633,0.6103901701286243,0.7767837859571839,0.5300251308921506,0.404542952088837,0.355269343067571,0.38443257447334356,0.3378201712395296,0.3451814355009325,0.42808638181069164,0.38992490288694415,0.5463450365992241,0.5537433332054781,0.5094619701789292,0.4707404624683216,0.3696875080798963,0.3389591457168489,0.33781742268433,0.3812080179683208,0.4439611572177601,0.43408416233218466,0.4548002729730789,0.4854944612438993,0.502568489368451,0.6149767134799998,0.48089881754040054,0.5362932505116602,0.4434748232746285,0.5364606764048135,0.6865950572847267,0.4112261303257153,0.39443791782472615,0.3417214414476538,0.467873601874372,0.527079429036339,0.4621082234016104,0.39199336893923165,0.3910779055981932,0.3836974291357113,0.3314545417284982,0.3718412020954916,0.3612230005770743,0.39832915856875173,0.48260557974528345,0.46143323075535864,0.7138883164596604,1.3033345528002909,0.890524481606635,0.613101718353613,0.4863440407674995,0.5274931217143981,0.44876167272272666,0.5090130625111127,0.3820129043496596,0.38736164040731647,0.34866018720103986,0.3525360773931025,0.4062351501206144,0.6588012954105125,0.5117622741176423,0.6803792996424337,0.7311015456023786,0.7045825440636315,0.5254054471357243,0.41474126939436495,0.4034632542660792,0.3752520968773676,0.3746837950253847,0.45541860989462807,0.46131378341148,0.7265789209656962,0.4355963838620375,0.5424910776585922,0.39026477670916765,0.4710529117627654,0.4584486067600424,0.4924213837970258,0.49791163706910657,0.6759225041439245,0.7145113247762144,0.7768029669460039,0.972533106793204,1.017824225335442,1.089313603745258,0.9280790222729078,0.7356350388864535,0.6580098452952614,0.5946590936244603,0.6006676491421494,0.6057560923004282,0.5890901659949724,0.6038029009570587,0.6836198786935048,0.676660350646301,0.7071398910363202,0.65024174281568,0.656789063824616,0.7212702248697459,0.7020323217336292,0.7537918346715214,0.7208052154729778,0.8033861767506933,0.714454089806296,0.7741481683407838,0.8395783950523463,0.8299381100484445,0.8611044470482042,0.9212458340928724,0.8638915777824315,0.9972694669801836,0.9006464077281365,0.8311178363137756,0.8911533906529598,0.9642400202553524,2.013241145997582,1.4115876975448667,1.7149597244570767,0.9208126219968017,0.9530130153753185,0.9896712398678281,0.9211021971005771,0.9303245759247021,0.7661090217869587,0.9263255898128523,0.7857748973486471,0.9554371659818509,0.8008733825755343,0.9625241462174005,0.9769545581322809,0.8780612999112407,0.9585213838167392,0.7326169834862544,0.6959566195524988,0.7182156308640286,0.8866334963564819,0.9627607947078434,1.1938647378529237,1.041852010360627,0.9344969181758555,0.9644449382429822,1.0638847936096083,1.0123396802301272,0.8681268575629895,1.0584223019385501,1.1152266243625346,0.8770025993609326,1.0125589894098515,1.2084455854931277,1.154458709102494,0.9815779245371737,1.0784458397393113,0.9772919287313129,0.9598634608232304,0.9094839092351191,0.90214568593437,0.9171785093973889,0.8393904557541468,0.8171060512671393,0.8340730588334018,0.8286540168029207,0.7398846354507473,0.8061836463990087,0.9100887320273108,0.7768511478559983,0.8213577017033938,0.8595334155626997,1.0932283813573844,0.8951901962047754,0.9122423009784161,1.02185312099212,1.1041074794437709,1.2998783167216683,0.9845554293152069,0.7933533041613089,0.7794918146638873,1.019675265301529,1.0377111392788618,1.0906881470496084,1.0444240787946122,0.844582663771991,0.7114455982358534,0.5811737003299899,0.5290827969790295,0.7458280181999182,0.6657104094917996,0.6664523305059074,1.221974478125254,0.6129134214872011,0.667592027257777,0.7276692988119384,0.7770720011020433,0.4978885603152499,0.8010475627516057,0.6714767227477199,1.4891013418834145,2.522376913705574,3.123274286162271],[0.9046626320245332,0.7589936416594277,0.9519176861180175,0.5843350176729426,0.6801316858076264,0.6359306985250301,0.5570699410551816,0.6100296579699359,0.5270629211311085,0.5416249494138845,0.5434637635332258,0.6518233873887685,0.5721048314940165,0.5347829764546357,0.6091977766584523,0.5920039193819345,0.5755163967761372,0.598773252418433,0.594077598528254,0.5777308428827054,0.6118547389676403,0.6464962727583009,0.6972271002713405,0.8508240702574709,1.018849230953642,0.7526144779986824,0.604603777328613,0.580382669042678,0.5759517881213638,0.5900741382994846,0.6666312943273249,0.6918330476743656,0.7341894048328003,0.7304869549160479,0.6711669990957423,0.5926888506964716,0.6353931171293837,0.5815285560728427,0.5658612640793719,0.596304099678204,0.6488683167001328,0.6525208596170848,0.6352800092526509,0.7580701348837467,0.9676596152421941,1.4315749912688962,1.2155271290828233,0.7637082747183427,1.2656108689496774,1.5162277493152885,0.8337907980562048,2.239994316415345,0.9430383354474479,0.909210968868796,1.8014776892800595,1.1389300455434395,1.2858446347866856,0.8664910704864178,0.959384671589209,1.4554976819407404,0.8181624225913964,1.008217490588187,1.143379018688072,0.9315644734892973,0.6564422994157004,0.6809885543183346,0.7854651628121614,0.6581576203877227,0.8029766399083303,0.711695955035571,0.9023609429597623,1.190265360393491,0.879819664069329,0.9282023168169738,0.7350008564897037,1.2641011744398194,0.6815072339368183,0.6911726655923693,0.6506478156027337,0.6617051470023005,0.6794461578172045,0.7383794455705659,1.1293657476864696,0.7783029683820054,0.6271546441463526,0.628711985925725,0.640372227498291,0.7652210768866935,0.5994833786100131,0.7249493466841654,0.6688431064434562,0.759009234449157,0.7349480680224773,0.7191149500926287,0.6812469877138335,0.7459646987606786,0.7266711877159708,0.7212645525298407,0.7463241570112931,0.9839529558811366,0.7691461075022262,0.8393872178874411,0.7607149951163322,0.8135476996834777,0.8231374252256549,0.7849839371991154,1.0498781566768731,0.7351945226310085,0.7459626850657968,0.8914673358762175,0.6954638135777181,0.606610671459495,0.5880040356089132,0.6351303006275754,0.5536770471900478,0.5773028829831831,0.6168242677431269,0.5930939880256965,0.6610567917338095,0.654648078844904,0.6350365610995142,0.6095718106710443,0.5994882942770219,0.5855066466730144,0.5978411440023863,0.630438750911187,0.6321065194114057,0.6520771306475165,0.6398458981008869,0.6801200788306514,0.6720659440180622,0.7501080676485105,0.6547158776446415,0.7413612088327939,0.6346320650911981,0.6996181050838063,0.776440684873055,0.6456642910407707,0.6391667306886709,0.6023906637409803,0.7019538842947944,0.7395591948326441,0.6327571289102125,0.5878861029550123,0.5807309605359763,0.5631336262081436,0.5516623382310463,0.5813687635190247,0.5816478204959475,0.6000072323219601,0.6623775089539922,0.6544336960623965,0.83553880459104,1.2954838574001217,1.0150733514952508,0.7971292772688083,0.6961890603499794,0.7102842132374518,0.6459196414968204,0.7006881897617189,0.6076612751621012,0.6258313461394635,0.5989187226676639,0.5906084587693655,0.6150253674153378,0.7949692641488108,0.6737386804050843,0.7967610217279523,0.8298842938039607,0.8300256336289354,0.6818952781282904,0.6297707300281841,0.6215177133226508,0.6226703173037811,0.6046250721550342,0.6446250593576186,0.632206068847987,0.8364551695926772,0.6399623467879937,0.7433231257553421,0.6262726514597856,0.7024738570737341,0.6831373061095303,0.7030694335949897,0.7069123276413024,0.8483638585032712,0.8516557327078024,0.9201920546066249,1.0800742012125573,1.1621770777304699,1.2321134231498492,1.0073176240417383,0.814656071346746,0.7686004465542348,0.7203683000315948,0.7384894062928634,0.7521375844119499,0.7134993859904388,0.7129287013144617,0.7769791230446095,0.7490825650860934,0.7782384708262531,0.7408586504253589,0.7210449624277353,0.7591449879394728,0.7544473299400933,0.7856542750911095,0.7433222806791548,0.8006037924300609,0.7466154561767556,0.7879443687356518,0.8012444991698363,0.798204800178851,0.8735765404381944,0.8906141426517333,0.8589069185626343,0.9209541027289531,0.8840100814652047,0.8205049986230973,0.8410504803213659,0.9023438992785054,2.0835749654476206,1.3324396801493434,1.6974489217250954,0.8924042515432756,0.9541084136635498,1.0034758934495172,0.9793696915526808,0.924980096090464,0.8144200320854663,0.9910050525909364,0.84476417115057,1.012108956620664,0.882414030988994,1.0308381575407366,1.005217882849201,0.9062881261144538,0.931035250561324,0.7857177292562804,0.796853146765697,0.8017576412284049,0.9379645781863367,1.0041735197775907,1.2664861305786914,1.0943560861437975,0.9879968595234346,0.9960372358711147,1.112653089141656,1.0449776142296399,0.8903535644038436,1.0605807437101586,1.1150084179106277,0.875440701702678,0.9767521955094641,1.1528909178695657,1.0963915769592878,0.9370251919449133,1.0280476025422929,0.9354444598253943,0.9318834825859131,0.9008904959448151,0.8858044476892045,0.8766189785579815,0.8130154483447316,0.8117822758552894,0.8066905475646059,0.8032549676434577,0.7542322602505767,0.7836355832306403,0.8781114491170927,0.7979498336831478,0.839778374244384,0.8550844710292219,1.0535984607702082,0.8884082039196195,0.9309543321264075,1.0124972783955455,1.10861907314441,1.2785854992411843,0.9976530366667847,0.8256260416529217,0.8363708722921074,1.0975750530391202,1.0642935245190546,1.0983912971215175,1.0689410793331167,0.8602195946153502,0.8049655083167424,0.7020150756622178,0.7047904436675632,0.8418868850833393,0.7763661405379005,0.7565165821541328,1.2641702825111525,0.7366439298782238,0.7493987837742498,0.7914705538279414,0.8689445108804021,0.6245744073676347,0.8501937568282968,0.7575225663091881,1.527572870161137,2.6263060810054313,3.1678069893566847],[0.9606804856065878,0.7286458778687224,0.8102360088960462,0.4479440863204961,0.5302927735416283,0.48103187771891154,0.3922270055084212,0.48834981633428204,0.4096032842381449,0.4338590241839599,0.4870280482843062,0.56229353528842,0.4852456083211093,0.4724661612201438,0.598638964797631,0.5637230198153822,0.5166992916330766,0.5631762069716367,0.5514042632779567,0.5341186865231007,0.6150243877172482,0.6080471035980992,0.6890415224821744,0.7927763491613415,0.8304508425846198,0.6343834656848856,0.49123823230310004,0.4655336759948626,0.50684977026733,0.5510607382164615,0.6644262769139917,0.6592303244258544,0.6815641724833703,0.69008534172944,0.6456857231033438,0.5722997428024638,0.6053229366337403,0.5287554464046317,0.47236704839389787,0.48463400539564383,0.5788499349185984,0.6003048708196606,0.5845627989641108,0.6767734810342786,0.8883702119595935,1.337737918462661,1.0893602346415223,0.6965041449816128,1.29144062343039,1.4218633649052015,0.7593723188709842,2.3257685137466253,0.9987259109413056,0.8707742783237195,1.6594619656306207,1.0593757640059926,1.240500834550168,0.8335242724441345,0.9341670227168469,1.3738708675839781,0.844095377665027,1.081301136396923,1.2188247448869818,0.9775934037866054,0.6625003935925002,0.6520790539546618,0.7772436751343714,0.6787496589099398,0.8274238403106995,0.7099637181585418,0.9330723901611104,1.3054767404505854,0.9283297549877906,0.9929148379807397,0.7689009247611078,1.319292109211394,0.6973827557412753,0.7017440057461923,0.6482222196786325,0.7036180222419703,0.6489523878912002,0.6840179482544496,1.1513491815539718,0.6607051154407921,0.5239870830060982,0.540067498408454,0.5671590036655242,0.7433164246320407,0.5861467953985366,0.7034448933494479,0.6953350642843554,0.8000247544173386,0.7716071698888332,0.7074812997198121,0.6668899141580835,0.7400017636000034,0.7479779415643658,0.6806542134734381,0.702366697018319,0.9115668582761381,0.7079601291073012,0.7725390366473915,0.6697236229306479,0.698717211196105,0.7060153703998248,0.6695691526039816,0.970858512380288,0.5973898272160579,0.5920013353973992,0.7828012583235202,0.5418337166575514,0.45025467529434066,0.4239711743839234,0.4560729858694311,0.42337937259298536,0.4265888277606674,0.4935599483674987,0.4493729518756502,0.5736650834654785,0.6117039411920757,0.5607884478097968,0.5102356060241954,0.4337378391068185,0.43316691920810196,0.41581437281044425,0.44760984037114926,0.45806847795096994,0.4697208409194579,0.4756871735346421,0.5190658605126777,0.516999322043709,0.6298941205654341,0.49420763698462183,0.6014370147951812,0.4720544408912129,0.5052587494507251,0.6758441023595284,0.44649171375972746,0.4724553182719836,0.42668367669349067,0.5330004427495019,0.5790567298701041,0.49938669100492905,0.4677315209821036,0.4491833194482928,0.45372103443469375,0.41401831566040975,0.4671914313838348,0.46163284762753903,0.49935565169503976,0.5575436656387484,0.5424519470766457,0.7472435251243684,1.266496363128615,0.8888206459513538,0.6880366788020452,0.5977413935571034,0.6214598288490912,0.5763896051402552,0.5883687918934375,0.47289267753330416,0.5024749667883149,0.4398227184914869,0.44812285655206724,0.46627661235451323,0.6312566708263938,0.5285246151470835,0.6356511657011303,0.6959244169632485,0.6774132616133963,0.5309755212943698,0.45419933642722093,0.45519701829704085,0.4567037358503305,0.48472604435477024,0.568842083858294,0.5909345658149896,0.8641802581247703,0.56064966931103,0.6731524547312164,0.49623896654587835,0.5640496280199472,0.5463531712231132,0.5561230954768724,0.5414922335008816,0.7547831717981508,0.7425462905192094,0.7845096212588364,1.0039219798275485,0.9751999572307205,1.0986274662985702,0.964468606005776,0.7182376327566433,0.6477245570921969,0.5356971130210865,0.5895845803037867,0.6485266837461194,0.6000939091457285,0.5886450038744901,0.657277032397557,0.6402675600154082,0.6649366811191879,0.6075582617563328,0.6208796488005384,0.6612950106175243,0.646377675873815,0.7013848576456039,0.672690441183877,0.7238311947382812,0.6685131418046327,0.7384585741114956,0.778630730586445,0.7538941162490961,0.8745092671129646,0.8938130259262461,0.8483422417439057,0.9311938555568579,0.8642517338986373,0.7928466325317656,0.8239844654110801,0.8703535398042107,2.2937501243262024,1.2391504797037554,1.608396560428389,0.8215592832411832,0.9198872103439718,0.9475835612799202,0.9288350303599571,0.8639859561202028,0.7282697678649495,0.8988993644991067,0.7850080545706839,0.9483019670091513,0.7798308271216333,0.9901011894315694,0.8604011712231064,0.8052639815281493,0.9043133710739097,0.6815471263869735,0.7125839863026372,0.727096301616978,0.8699857533503513,0.9415055228344892,1.1592469870278062,1.0331255999798312,0.9050558344494399,0.9291317801150539,1.0811731852815332,0.9648148504229374,0.788352178638731,0.9536301514498676,0.9789912408883392,0.7692242470702942,0.8994306764985922,1.072167092051725,0.9786739603887112,0.8989055455190934,1.0004641198362088,0.9070631648817449,0.8809300487418387,0.8147912535802077,0.8241486452818979,0.8435410200925897,0.7547952332963208,0.7528946137406698,0.7595221920179516,0.7628589779549624,0.6774995239650218,0.709977070528945,0.8320138742184853,0.7436054260891437,0.7402195096302386,0.8074905479564176,1.0084824062775588,0.828627336283313,0.8635243124966935,0.9595687204273651,1.0383001075627563,1.2097037163026039,0.9243792658263889,0.7814792535883286,0.7581846244397599,1.0153261407427834,0.9688736244017824,0.9911007470372609,0.9788023292945219,0.7614046789866346,0.7154219627845083,0.5711063064214147,0.5471934471173814,0.6958237042273153,0.6321052415085741,0.6665560240137366,1.3778074368638125,0.603737858667712,0.6384396918566277,0.7227565766926967,0.8466926051582295,0.5535038808120964,0.7863687503976405,0.7960968950007551,1.4716490550668102,2.6202852707421838,3.3539507510168742],[0.8943320214631966,0.7110851215504637,0.8269113382062494,0.4531323912828902,0.5482962953577931,0.4836471521803517,0.3829984072746204,0.48974510725974685,0.3974939091501041,0.39960262247321254,0.44162466616518575,0.535494158315313,0.4493447065000284,0.4369906396944136,0.573438262432166,0.5366428538425178,0.49377658724829115,0.5361401586284091,0.5378463313268956,0.5073019547578372,0.5866648573155481,0.5823188962504106,0.6921256995536177,0.8101478499402475,0.8430029989953508,0.6498535431783607,0.4672857051648232,0.43998821696183565,0.47473702865043443,0.5323953331957639,0.6333039610721236,0.6401100238075188,0.685556417263676,0.6999475190210177,0.6318612503765847,0.5532453390230241,0.5803052313335225,0.49519279784890646,0.44496574311568754,0.47668700540506215,0.5629455888173951,0.56434213385226,0.553768351328282,0.6467138186354252,0.8885253941184028,1.366383647955245,1.1244249698904591,0.6998650032415342,1.2949655157987086,1.4199788959396298,0.7567152892177312,2.356881926616928,1.017949252650476,0.8573954102860671,1.5967849370499274,1.0043001297143126,1.198458058961756,0.8076888403795155,0.9094017649775741,1.3522935023804874,0.8730272468902178,1.118197715460742,1.2855637108637155,1.0215067323834761,0.6724242264477612,0.6554319002464754,0.7964391020863357,0.6721931497954828,0.8533475277684438,0.6980747984005228,0.9338560064010148,1.3223324695738095,0.9070747739228157,0.9864173444664335,0.7598244288554165,1.3246395696036561,0.6997049390211166,0.6998587032563569,0.6452865572546577,0.7102845371138637,0.6420991150789551,0.6608809202205352,1.1542520360084245,0.6629396704129212,0.5316512626672367,0.5223492312310868,0.529457237002825,0.7197169575054921,0.5685958743596956,0.7135045644670666,0.6931918463710982,0.7819387773400851,0.7574835867867125,0.7075192321649589,0.653688618789283,0.73501319794431,0.7402649730195013,0.6810908714153828,0.6987643774072115,0.9137119703213643,0.7113587891455396,0.8079298430893233,0.6705042540668132,0.7196962761765183,0.7299369365475694,0.6717757999171059,0.983715764590704,0.6158775012013628,0.6164131412220961,0.7917005341188341,0.5581273760995574,0.4416891384874804,0.41029448870256396,0.44112126564438603,0.4016739685772997,0.40994269149745644,0.45794896500222765,0.4426567567468984,0.5798531206513645,0.5901594618134314,0.5376181490988158,0.49219913410131905,0.4296787502103174,0.41032665486117104,0.38664950756833855,0.42869795535964156,0.4618559897909947,0.4774471659198656,0.499767013848999,0.5343848536340233,0.540423869312688,0.6434024354792776,0.5073994480808671,0.6040628331212632,0.4918826407145279,0.5421820741716394,0.689689279024409,0.44732253374581504,0.4725136603370812,0.40928933086500324,0.5352154333243752,0.5895683870611842,0.4903915294664728,0.45990254856855656,0.433964887190472,0.4380528666307538,0.3926798415210857,0.44374857463757994,0.4462833657553046,0.4867632203568845,0.5664283699651229,0.5605418113703343,0.7789918126500295,1.2905941544708783,0.9003699256288328,0.7131040425431678,0.6033407686398534,0.6343201673211678,0.5712187263470546,0.5972799923904741,0.46084559755350585,0.4901756393109413,0.4226608539885323,0.43583958614586116,0.44577311466766245,0.6532001431108677,0.5292539954179755,0.6529212420616736,0.7097957491471522,0.6880031210439773,0.5374133478380697,0.45047562475345887,0.4524808274923629,0.45556544692775364,0.4816008187611713,0.5657051505538631,0.5733958859337297,0.8570795753769652,0.5558028752621206,0.6713340372576733,0.485783073797779,0.5681532520969139,0.5477078173804286,0.5494003667165587,0.5236734796364597,0.7100799091115426,0.7172310478016469,0.7958006222857529,0.9946612308414561,0.9961888055201631,1.084182501278622,0.91047930642384,0.7187355681939255,0.6562649557187746,0.5829485351496155,0.6262773863661432,0.6674948116699572,0.6340070599177815,0.629405557763738,0.6849987037176423,0.6791804409079585,0.6984495376661278,0.6430219681728117,0.660845975159491,0.7117468230989302,0.6865697083600153,0.7325583675425652,0.7230354954480961,0.7808639276828192,0.7124119690216097,0.7884380635659833,0.8368758514427878,0.8105332019523164,0.9017209260261194,0.9580589824927382,0.9108279973044361,0.9894192025978192,0.9301661479354597,0.8667063710697102,0.8910913659243064,0.9413441387429743,2.255573695834686,1.3081499423990623,1.5959799252451312,0.8717025697020672,0.9604300711638757,0.9755651868863392,0.9607066208362997,0.9201289501427709,0.7969808923582138,0.9500304750526909,0.8377406334446016,1.009175628263194,0.8411386617864323,1.0005387880919252,0.9224645324558742,0.8475374419490713,0.9166442923245145,0.723749112550031,0.738938864063915,0.7508875809857686,0.9050115327696929,0.956382379425418,1.180535629896908,1.0352697160298499,0.9295787659892243,0.9642353143064056,1.1010070480459493,0.9814434427060263,0.833962702793808,1.0020399432048692,1.0195084166533916,0.8202772795384026,0.9615162678988732,1.1250998591541548,1.0348301854843094,0.9530260994197426,1.0748842008555703,0.9729689041783184,0.9463620213891885,0.8776362010935608,0.8867153750585995,0.9212057251269423,0.8205102182935633,0.8078769464517788,0.834976139788824,0.8329191787102268,0.7307478014583757,0.7624060827235543,0.9011604749448323,0.7967209215687028,0.7919798518593587,0.8696540429050116,1.0650641085972092,0.8933282905413489,0.9155418626856633,1.0196564871235674,1.079194019600967,1.2880808343439094,0.9801726668904387,0.8416092401772066,0.8091012997735799,1.0572151788016717,1.0269407403761508,1.0561323135858767,1.0312039803845383,0.8182583977900938,0.7402741754740813,0.6044527361755109,0.5683834553901657,0.7190474539985067,0.6571627825283749,0.7010426160256473,1.4086467189503673,0.623472247720986,0.666446498019424,0.7705908238098546,0.8699723005755221,0.5652134763823775,0.8228867566035722,0.8480186266629117,1.5042657567722928,2.683273720777189,3.4492137117434196],[0.9114145174536851,0.7801434213674074,0.9710747494327157,0.5658026398439171,0.6632059037331322,0.6151886825111219,0.520973442823793,0.5971671323482677,0.4970612245840701,0.4779777565721032,0.5024483574556418,0.6143581984021383,0.5184993217253385,0.48635227852736806,0.599029289011604,0.5732320196689741,0.522135447070672,0.5545142941301907,0.5540344138822345,0.5316608238804064,0.588905128176619,0.5994151568447892,0.7006414856579953,0.8020085551539794,0.9440985694428358,0.6914093543135503,0.5187846055919941,0.48557142828803845,0.5166394631625577,0.5817714425862186,0.6679520090426808,0.7151378773613976,0.7280247825074637,0.725349312540506,0.6915280172430681,0.5898317492038042,0.6384475055912093,0.5442084350834864,0.5046966795547034,0.5466983714868343,0.626786804105222,0.6100120145183479,0.6062888186757103,0.7034864826304918,0.9174154103976242,1.3826629189544613,1.1506549780589097,0.7301640148640574,1.2978995611616677,1.4824940843601586,0.8401905454101375,2.3341140169185,1.0091342060067705,0.8903169102814694,1.7051164088213726,1.0623425111049265,1.2344097153532942,0.851323724896061,0.9557087109660416,1.4332605931693203,0.8855845892335986,1.1049744138093778,1.2560660557990992,1.0015006202565746,0.6766493583218157,0.6481032298196422,0.8063681691430313,0.672762977526622,0.8502634413067706,0.71172945977599,0.9547655253994065,1.2464511312105504,0.8914319558925902,0.9623013121179798,0.7602013984909959,1.310600566039643,0.6813931143269916,0.7022951236604706,0.657078071089567,0.7301739129420373,0.6983149058521089,0.7108097107037075,1.197287564472296,0.7698047299672913,0.615193147530776,0.5969865622642523,0.5895097836672442,0.7794399583617423,0.5943615170747536,0.7327890924883841,0.7024155100333505,0.816448327334822,0.7790240192705652,0.7288773703257634,0.6875249206333612,0.7531312684374377,0.7438834994840158,0.7279420833106275,0.7712086367739427,1.0519666887092796,0.8223002476054128,0.9192469622407317,0.7818311064786383,0.8281986285892781,0.86916182165425,0.8287217624592473,1.1092192467646667,0.8136881561278521,0.8089140722301394,0.9771792496031088,0.7347546174015855,0.602048036220576,0.5474295524735356,0.5505057855771787,0.47567057192512163,0.4986058214966929,0.5166940194451802,0.5385504005492755,0.6351679052171232,0.6147421368084073,0.5867169967004291,0.5497124025181295,0.5316392037494402,0.5187465413162187,0.4994666993281136,0.544398308465226,0.5960200494544688,0.6268840380778056,0.6676900721939747,0.7018641967617362,0.6900963247125843,0.7889047030656807,0.6845559353418914,0.7480727260732021,0.6574873603442677,0.7166266433482045,0.7809908426427399,0.5835777588894532,0.5873401234311197,0.5319338727804479,0.6241085885222287,0.6419384041207798,0.5860011591246214,0.5344568441453081,0.5185480322920606,0.5018313693508739,0.47746515577171095,0.5358452868522603,0.5514859212495664,0.5897583168955963,0.6879584129038874,0.6974213410711033,0.9519586198386892,1.2941144943946026,1.0550997036755094,0.8476434528344966,0.7190633198580318,0.7361654129193219,0.67178198804633,0.7044373053326151,0.5756017777936053,0.5741054332932577,0.5295796407584425,0.5419610170431542,0.5723020107536547,0.7692043363899765,0.6524880700244302,0.7798827648913305,0.841126449098373,0.8210058043078672,0.6664448313257206,0.5846889528130387,0.5946856534315145,0.580205215447478,0.5928266557725228,0.6907084044652693,0.6641917960293189,0.9404236819266901,0.6702531056576868,0.7928830063873525,0.6025316498972699,0.6799912598439859,0.6687371625518208,0.6907224639773782,0.6607955785498691,0.7919224618496399,0.798763037385638,0.8758329700225528,1.0152919869128547,1.112823818157445,1.1498649252244593,0.9755423404979902,0.8415703658023816,0.8043300805947236,0.7253396867889892,0.7533395888862442,0.7897914528465501,0.7714657501264776,0.7661047325473422,0.8345222746408493,0.8725684154403603,0.9039409006432458,0.8330144856172751,0.835624413579866,0.9306885994140283,0.8940884604910079,0.8999854821772572,0.9063700155505781,1.0206783475459065,0.8882304907125711,0.9416159658418133,1.0240074253994802,0.9997962273195158,1.006257448956593,1.083723744607748,1.0368061445580044,1.1532012951351758,1.058933812346102,1.0115447015922234,1.087220142893257,1.1510691809372116,2.247651541763748,1.5056176473271894,1.7785681907864248,1.1614281889262037,1.232694507886282,1.2351932434506065,1.1971218788019196,1.1984316660968546,1.0357335723314856,1.1856769395214963,1.0331079090931288,1.153357281687173,1.010601948759434,1.1286981886956702,1.0917053523217468,1.0043353355371845,1.0365239787604485,0.8901497774391702,0.9009669083117934,0.9238262648307685,1.1073704881340587,1.2026144455477232,1.446069118886547,1.2915058479942474,1.1854218398842742,1.2355701396146819,1.3331602711872963,1.2358500539972428,1.1114289360346632,1.307397260705563,1.340164941265017,1.1212174514949287,1.2523811981591269,1.4266042696264831,1.3344928785707875,1.2110821559607459,1.3428810283947823,1.2192951395010592,1.2158421657515412,1.1578976946464348,1.1485242921918581,1.152298385880275,1.0482242950821452,1.0309124042817828,1.0588475667745594,1.0337159881873004,0.9254322856219345,0.996412785370815,1.083932693054047,0.9492508504225197,0.9438580514867463,1.0302944952144395,1.1787903454241886,1.0229879574959377,1.0374777948642318,1.141768850026255,1.1805448906395175,1.4131452122985337,1.1118523303309786,0.9658047638259957,0.9406401104310331,1.184108581802796,1.1491045765835057,1.1832246200685845,1.1219269140131358,0.9365364940714822,0.842187948195699,0.7392872530173005,0.6974628949619573,0.8698836030896387,0.8425973670464503,0.8917291955985353,1.211236295181461,0.7891156147399104,0.8666066178354799,0.9496140957549831,0.9358465407860427,0.7223978475465425,0.9666439385052525,1.01136395285919,1.6851844298761807,2.8533944376778018,3.451481899561773],[1.3123374663549414,1.2345285091606217,1.3762905857699483,1.0540240525023936,1.1339092520449128,1.019908877670705,0.9888822831092554,1.0403945916101291,0.9813668536768113,0.9511882069067631,0.9415881164324047,1.0526747860830739,0.9559113546860387,0.9078605218310003,0.9547210133704266,0.9708118568234806,0.9150441273452278,0.926240492854672,0.8784678695829926,0.8840348343991303,0.9303279948150351,0.9550982876665628,0.9398557563827635,1.0212144411881519,1.0233762325575029,0.9051476586738999,0.9079743707266003,0.8780048638538593,0.9308049760438212,1.0048592322955374,1.0495098934479665,1.1263655646872741,1.1382116160871336,1.1583820177200435,1.113413444104851,0.9931881689550383,1.077106267477398,0.9812940684167374,0.9717658524485377,1.0167234156195266,0.9989092449576229,1.0285382396045406,1.041861071713045,1.118209338781032,1.2741948845924043,1.5253849737884966,1.2739854664428034,1.1036985715753067,1.3497744241488063,1.510644156935626,0.9843663268311491,2.128865568869736,1.1498151065810103,1.2082590906478754,2.1351911471673257,1.5779537312654701,1.6840033140137367,1.2881452269051719,1.3699996655305096,1.7564406748970398,1.0431425107516163,1.150414964926496,1.2405397112079333,1.0269242085713457,0.9835706029622296,0.9238615163672889,0.9794001288010289,0.984878084845938,1.0370064805381598,0.9186935208217333,1.0915009426901277,1.3388872829468037,1.0261272018550707,1.1110864017517763,1.0675075761153605,1.3977984639143886,1.0318730976653776,1.1031057578777317,1.0716062665457542,1.1292298374648426,1.1436301927771593,1.1476026577119616,1.5184088657827925,1.1787118210298213,1.0404017066951772,1.0766610293986578,1.0434493155565057,1.1896103375740603,0.9982052124176082,1.1551591727457786,1.0859921950307538,1.137066406177377,1.1393040741221228,1.1424036764130312,1.0880706534305677,1.128955555188989,1.1344539219060878,1.1237830900840973,1.1685074868296979,1.3977399364131968,1.2269835535019684,1.264572787396353,1.199390341396393,1.2240848324893223,1.2395209819671935,1.1872121958549022,1.4814636737439808,1.1782166256511644,1.1445263280475206,1.3376203016251822,1.1204461761415838,1.0623385960458127,1.017248253382864,1.0155313182086403,0.9342690344116243,0.9432814326521161,0.9135777254317061,0.9300320331297485,0.962095539917078,0.9144642028224041,0.9120185806681927,0.9098994904433192,0.9333421315691511,0.9777757902940022,0.9867921558246662,1.0317315073560227,1.0564874790332326,1.0444371308364997,1.0565496535179097,1.0870540676589584,1.0926825165815421,1.2153644164076909,1.0960473308681848,1.1524932320589416,1.0110067857198688,0.9510219403993504,1.128544165061679,1.0349124772749185,1.030357982032905,0.9890323826563183,1.0485218166419201,1.0618775058628922,0.9477599018282145,0.9263022196898811,0.926088502687709,0.9195506185532851,0.9207282385284706,0.9457905141036385,0.9970494295198576,1.033306342222375,1.095590891088416,1.1011902073486273,1.2623434222581504,1.5233542168585643,1.3722481628279823,1.227958841501195,1.127650589555209,1.1490432406934166,1.0944346296880965,1.1018265570443817,1.0176604947123713,1.0075052871439079,0.960929039362306,0.9842247606014509,0.9618747547112925,1.035021238162886,1.037439752062258,1.1210957289551142,1.1515143867036337,1.1644436441619617,1.0603853792465163,0.9838385931001202,0.9599402322310259,0.9979252180707143,1.0448882615977804,1.1350433379313176,1.1116907991034972,1.345572277070334,1.1192173075862912,1.1823569122464574,1.056665300728545,1.0959055255594539,1.104660704576074,1.1096066543775558,1.092014668751641,1.2609172585733097,1.216716071956236,1.2800164179450186,1.2751227069037674,1.454591651880335,1.529885319788443,1.2647468718518906,1.1506857540901376,1.112819346992766,1.085853004294753,1.157047982145024,1.1866109494385444,1.1435193026570594,1.13818741973048,1.1766392438178195,1.1830525517221238,1.2158860930709117,1.1585100274591194,1.1560389664412793,1.1956967868585386,1.1867191679788793,1.1579879608094044,1.1803193768823164,1.2161937799265896,1.1811587452347292,1.204180768873319,1.2150457438326983,1.198216209774163,1.2474296509911076,1.2965127739363467,1.3071151552307523,1.293278940262455,1.3233854609567208,1.2470972587446225,1.254448281157496,1.3352774711881803,2.32370903125116,1.6995037052205426,1.909580125120982,1.2871659967077733,1.351455227950272,1.3954916565645654,1.3694737559169317,1.3713066943214194,1.279533220179495,1.3790597013064931,1.2732192638258242,1.403974896252203,1.3075191159360136,1.4418500935634555,1.361633546456904,1.2854596353234193,1.2461230026456735,1.1704425811492614,1.2245875062514842,1.2672963849186678,1.3637855952396807,1.456501436618484,1.6301323960671246,1.5601364567684965,1.4773213829801846,1.4617065572084273,1.6110611182480854,1.5364790608966505,1.3426274916697916,1.4850370752148547,1.5126383090344233,1.2975436281996797,1.395078778181306,1.5211976652488592,1.421098468101665,1.3281046864494221,1.4025655678070457,1.3228958263277935,1.3497680637830771,1.3265957507276522,1.3089780962887587,1.2956679816532846,1.2278202021738782,1.2572075677119914,1.2264791136964037,1.2133835536483721,1.1964863819393148,1.2376120193842233,1.2748997683759034,1.2221269421255836,1.2331858993254532,1.2842869630018863,1.4160637568293615,1.2830354622982454,1.3222461276780388,1.3938126493419498,1.5017219207145616,1.621640709181475,1.458148130953317,1.2798431004479418,1.2869374708650323,1.5814212697341536,1.4831215847392492,1.5172674955011558,1.4330205371643574,1.213119874276129,1.210129591269301,1.1277423779682523,1.1235085038178307,1.2302865391028364,1.1819590605279118,1.1505822868729603,1.4205493891359513,1.1517442622713823,1.1838183971351657,1.2205874668662167,1.1906440300865981,1.0569634552004308,1.2603472248372838,1.1982447335161988,1.5741252218647659,2.7381621862618792,3.4276572220349735],[1.7667534774594427,1.7315486030278175,1.7647173361540442,1.706656722990471,1.7228111847934708,1.6928892908736846,1.6216546113965302,1.601478582908951,1.5110151856413296,1.4427766765205712,1.3977830307746324,1.5084963809017358,1.4578989151091577,1.3562335742888771,1.37038111625548,1.4312216740849562,1.3482750654528,1.3428325308092506,1.3025653154682548,1.3566170452020807,1.3622971308070577,1.4262129105395362,1.4053909157551896,1.4797383688110604,1.5642239481451707,1.4054512691067687,1.4651249292573698,1.4388893608539755,1.4035652916379164,1.4739033132204054,1.4524770659289,1.5736202469096172,1.5370102585373921,1.5210656777433456,1.542481605019199,1.4440463813037294,1.5660845491951447,1.4862137507286721,1.5066859228392273,1.5784909384110182,1.5856125254187707,1.4379989852438335,1.404050502700708,1.5399910233619425,1.8146120835702169,2.342028292054572,2.080757307743755,1.5686991506268393,2.1466699944365653,2.4625288943355343,1.7519271536306376,2.8726938533957984,1.7246117640451852,1.9777507792823779,2.480057821376871,1.6585982291905355,1.5259475403362115,1.594017007678643,1.679353053198866,1.5162939199785535,1.3538946366152902,1.4543331071056376,1.5780455947395524,1.5276670286511582,1.4010895213077401,1.4133284301742206,1.2878979459903135,1.293789762039034,1.3018890168578794,1.2257534220613842,1.286240474767923,1.5166291238868854,1.2640416224326376,1.3120868080422226,1.391517139911044,1.6608955613193688,1.3945150690855186,1.4688437694540457,1.4870836971631294,1.4944165922482155,1.576836598099254,1.5626028835224353,1.9574296364569268,1.762783704374317,1.608485742309118,1.5880248367680938,1.5309550663637175,1.6727122895275333,1.4656398373987545,1.5414131757239269,1.4088319525329984,1.4438579851092495,1.459532483449378,1.4701899531780005,1.456462777594803,1.429497914317156,1.4537376748845658,1.527352893529705,1.5843710237719084,1.7918723889505312,1.685728717863264,1.727082719620155,1.7115181136515893,1.7059151634113716,1.7325033365862466,1.7423410056859046,2.00024844528247,1.8044548685071837,1.779495981655349,1.954078607296494,1.761819326508776,1.7091237221261408,1.6213804529179439,1.5870345166144308,1.4588410746102873,1.4660073504461044,1.4956712299123922,1.4193365751871503,1.37354591566781,1.386054912600543,1.3659859775217218,1.4205321345552318,1.4267884629587393,1.4906208963538619,1.532770946092502,1.5954070956705515,1.6815630010066136,1.7008193028111203,1.71533807917765,1.7388273385355921,1.7312420703431997,1.8018332862238307,1.754678970443459,1.798232357122764,1.7042705621861365,1.7184097840027754,1.7702795702860956,1.6699439397132572,1.636696362790063,1.5752378713594282,1.5996792138387659,1.6259952565393312,1.4318955794487997,1.4753525869874464,1.515051077929934,1.4834766978651188,1.4905269464562783,1.5106520396205918,1.5753117278294875,1.58469802887652,1.6714371545149316,1.6471784311255906,1.8644282990511316,1.9915664689112174,1.790287483500636,1.7155691814778482,1.6432629405926618,1.651648636208608,1.6249345450498072,1.6678379114558406,1.6161144732663713,1.575828229651111,1.555414367926564,1.570639712850595,1.6311510851383466,1.655870577681737,1.7041014270176966,1.786486843099627,1.809549153177424,1.830161808441476,1.7149818783537971,1.6394868400243126,1.6369083521401684,1.6111655261621234,1.6278247831448633,1.6848747183939297,1.6833408576555382,1.830494313490124,1.6840174138225579,1.729318514367504,1.6540214955398904,1.6640129302782631,1.6863544805173318,1.6743301402919761,1.6746383703284462,1.7112088381366792,1.657578100815362,1.8315481309437789,1.7832922360919972,1.909913096773796,2.0375771397029254,1.8762241335466778,1.819796430489071,1.8034641180517479,1.7424633086549821,1.7669891630269088,1.7890123423829973,1.7319277979609622,1.7428149523886955,1.7901550034092917,1.8000868390438571,1.8261917900220506,1.7842109028631263,1.780269695314472,1.8194860443021714,1.8129965371011318,1.792560522837882,1.7983030677342429,1.8489285385787888,1.7840215223559537,1.7846679933529754,1.792036133864964,1.7865171278720924,1.797006096247377,1.792369337463573,1.819446926449502,1.8002104884909942,1.8441268201944916,1.8011393302726382,1.7946201370530488,1.8616099551527043,2.3305528757402802,2.2157201816257683,2.4777234253268,1.9178850406495023,1.9870715370629126,2.005059405638451,1.9920246684978586,1.9679977654243255,1.8928408051360681,2.0324481789428055,1.8505247603442796,1.8677869534288305,1.8842041932513864,1.9936315683759507,1.8263039351650807,1.8010436036785658,1.8041972948824043,1.7831421535938656,1.8025053898429446,1.8504875480206795,1.9330754192268003,2.0563466866031193,2.2249010377116853,2.1725437105543586,2.073397656894189,2.065982428100729,2.2052081951923133,2.1190791293604616,1.9793316677799901,2.124558139979336,2.160051281614617,1.9666074864237955,2.0240522182978404,2.146657812795813,2.0570372609171543,1.9534143371089276,2.0002384200301773,1.9053989040778994,1.950907010431885,1.946975155864291,1.920105558088334,1.8743274475164755,1.8382980020738444,1.845293734358978,1.7977409854838224,1.777231606936678,1.7859803726413117,1.8229997539991922,1.8054040812621404,1.7674138237975934,1.7677017906670038,1.843996629353075,1.7956590888966166,1.8262616722922722,1.8323572516807674,1.88899826236633,1.9154948756228107,2.0260913497482407,1.8846858862163836,1.806924698154498,1.802566041672788,1.9313949743482415,1.8709812275535074,1.8891713976920663,1.8222788013522246,1.752038878315596,1.7519621760943331,1.7526492555969977,1.7266888127258468,1.731311544025929,1.8010719120251513,1.8107361948174894,1.742751172133708,1.781485850289134,1.8197369893883608,1.8150057958343075,1.8593401708700574,1.773642849159258,1.7768487683035448,1.8621695114980412,2.467160902123481,3.466693791915138,3.9092036638298664],[1.6165229829706222,1.58517373698008,1.6703094053686198,1.4642780085100582,1.4751520706222028,1.323811576381257,1.239099530080375,1.2831947746771475,1.1574416977607223,1.081065240344271,1.0790850995933883,1.2865261703848718,1.123589893984861,1.0050380155986822,1.0793993443713914,1.124162616166889,1.0427850933881722,1.032128112983859,0.9530701161780318,1.0059686288593768,1.0062980087805626,1.042795335520242,1.0398864848324603,1.1018185758893373,1.2456161611743628,1.0514150355994867,1.0401730545370838,1.0299637116009805,1.0703122598209749,1.1888561655462735,1.2191098974076278,1.354687856358719,1.4741578070404926,1.4739717946349669,1.3721280403435416,1.2005715691848378,1.3095959118528115,1.150612349511033,1.145632715293748,1.1986077331305818,1.1723728637949284,1.147414101826573,1.1860775024648778,1.2425278382634923,1.3671242454844192,1.7780532842995664,1.5188493482532894,1.2289878757840205,1.6410939093703336,1.8840354939832846,1.270343401357406,2.3062000104063825,1.32521821893636,1.3034778493965136,2.1925328444590493,1.7364961226963938,1.8496641747233629,1.4720806267459672,1.5624533055982937,1.9351900978543743,1.2441943578831078,1.4575498372906428,1.5359815758589372,1.197883110904795,1.0998796693911004,1.1256739699616238,1.1335089917197763,1.1108624535262814,1.1427877272703124,1.0351357454531764,1.1574851718159838,1.365586400833417,1.1178672131621856,1.1912150444336351,1.226166607875696,1.5272586663730368,1.2429842877879307,1.3848449201781878,1.3398913372651737,1.3558290215061917,1.3988511432759587,1.4035476710053376,1.6596726311532726,1.4165226022081705,1.2768609371793291,1.2963248695123413,1.2443760616582764,1.4503614777315355,1.207562188652292,1.4219711429987416,1.3460545669792252,1.3697956198776866,1.3785868713345788,1.4206095305807283,1.3149249834987342,1.3889718847061745,1.3160212322724836,1.4129099625508763,1.4424282795005279,1.7035408393308846,1.5374054107560156,1.6352456509431001,1.5050573215352374,1.5335035157583174,1.4931517656173,1.4572370730808426,1.8017830473857575,1.5220083392398014,1.492355503603801,1.6581751199086496,1.430986564989607,1.3365919694503061,1.2588929337960855,1.2244574940559612,1.0885797278479932,1.0967715828152804,1.0688147869406495,1.0649865014330946,1.0390313882360178,0.9995677241986787,0.9953385559287182,1.0190507517516705,1.0625000360089563,1.1293199771234763,1.1640839060987556,1.277396592794841,1.3613074315514804,1.3525138283224185,1.3914290463297112,1.4046994939593695,1.4561527193796835,1.5698472991986638,1.4466971704521332,1.4759628033492023,1.3414509009661737,1.28686317967861,1.4777638793051158,1.337983434575229,1.2844130913428966,1.211314789203477,1.2508390306528376,1.2305850663535969,1.0886766808712576,1.0852182068125527,1.0934675271501344,1.09927994800995,1.0994973125661187,1.149503467020796,1.2230603461693172,1.25026538591161,1.3693178506374504,1.396769424953889,1.6477570699575481,1.8833250433279247,1.7066913577283922,1.5897234520687662,1.4016343058038931,1.453657213057325,1.3314696615115993,1.3896546508510514,1.2393508933726396,1.2174266073853939,1.1806306851138781,1.1984443412198773,1.2288531377430614,1.332399793990753,1.3502359702681306,1.4736067009740876,1.536181979217788,1.5294776315654883,1.400547932340431,1.2778325475544423,1.2258409490363753,1.2358190704821637,1.2809116907679083,1.377979016978151,1.3441580929416037,1.5652653085334094,1.3589878266323039,1.4196071868984808,1.3144160445745128,1.360442713703433,1.3921075923317285,1.392633065861259,1.3587490663472888,1.4500295782634633,1.3946461464805175,1.3584694410036802,1.4953334307315187,1.6006475646674125,1.720675150589424,1.5444242702900677,1.467606190587805,1.4518664578667038,1.4637562365245813,1.5589054495920553,1.573680760862245,1.5692204374465577,1.588531987366871,1.5945282190244288,1.654777094893615,1.6544816642943394,1.574826326021294,1.6320418579043388,1.6886135497621957,1.6486373803464536,1.6593430946031937,1.7183668142502426,1.7408413308990687,1.6692076194284895,1.748413292621568,1.7799864309573101,1.7074717079804216,1.788567343204449,1.889836123389137,1.9040775740508546,1.9245060588835927,1.9851861383389648,1.8517153539941442,1.8775972612400715,1.9447391206717466,2.470609511334423,2.312330807554152,2.4585609919717655,1.867517942364978,1.8871462158899137,1.86754563211115,1.8455523649297165,1.8837598965796112,1.788678478657717,1.8077668372056899,1.7920137231173345,1.8884041571397474,1.7807681556220092,1.833219982639506,1.8164386086101836,1.7796027795932055,1.6905101666866327,1.6552343034397816,1.6531723314159659,1.7205230588614204,1.8148645478644319,1.9048365544143286,2.0650604595045294,1.9838364343026722,1.8869027381856096,1.9435447153734169,2.0809087488089597,1.9512987931590282,1.8121415722195269,1.985502453764006,1.990637942577614,1.789996486253129,1.9273287146593596,2.05146102029848,1.9474793143796774,1.8853697273452183,1.9640509811814066,1.8770304870640657,1.897796824623193,1.8392986679417105,1.8594658119474368,1.864228808630821,1.7592306310744978,1.7632425184225917,1.7854365745477243,1.7755141527746354,1.7241142412834551,1.8081102325284915,1.8788982094888291,1.8095017827327464,1.7738447939104276,1.9003356056099392,1.9678436337300318,1.9086538779275655,1.885367083331677,2.044983940091283,2.101203060810024,2.1832529339849565,2.0362131256680636,1.8364886381574328,1.7763115518928685,2.023467456755653,1.923883701874649,1.9794614332126534,1.8691840469569398,1.7097204491723659,1.6273535467528275,1.5470209876199037,1.4816802543593928,1.5733243530341805,1.5778382538217703,1.6057132139596584,1.8570526136854602,1.5213534189673696,1.6083648531625825,1.6607012481846806,1.5229960370441045,1.43474916232676,1.6666166881196953,1.6274487118267855,1.7756777323879323,2.8174733358526387,3.6487592359509624],[1.512522981249839,1.505473688130961,1.5235407280710302,1.6291962455504516,1.5138970849421327,1.382796821287334,1.2346753828306092,1.0704055741566931,1.0238450840214322,1.0238449400815635,0.941459261621284,0.9517039817503766,0.9633164949490323,0.995580575949816,0.9437888253101636,0.9422262201534843,0.9613988189997263,0.9560081342912198,1.0241079939164706,0.9753994308023952,0.9948925561134038,1.0283278100935802,1.170615223474316,1.2968520630574507,1.4666795794950953,1.2583826100901576,1.1410238268246549,1.1018988952778388,0.972307485439521,0.9600135539244876,0.9623571794561954,0.9997978541761874,1.0068091675020834,1.0292537935014108,0.9888711432704227,0.9216956022863695,0.9910191431290054,1.0033164133241734,1.038038137662195,1.0764199883799925,1.207043735994022,1.0453858998496641,0.9718755945183357,1.1517911715698033,1.4754340043197223,2.142804414747957,1.837668027088936,1.1950456772877212,1.9523744650465908,2.2807950587427857,1.4294441565909743,2.752930517030111,1.4190233703880353,1.5036355369106924,1.9048583273367083,1.170386676715605,1.172429570448762,1.0839475759920991,1.174421924470272,1.2779034805696527,1.050920027939719,1.2022860017507135,1.3319590054197068,1.2649708497308754,1.024737897022386,0.9774527724394879,0.9742755296237635,0.911181940951598,1.1028950317260506,0.9500408427982033,1.1912979571887248,1.4278654503271104,1.0447150091548774,1.083352105542144,1.0521728846485239,1.5180303587917767,0.9769155267713598,0.9987547570939221,0.9769490592470468,1.0250215052478764,1.0289469161512823,1.0141569607957595,1.4346970258804645,1.1213973228034628,1.0735214796358925,1.0058791950266317,0.9631901862955609,1.0830732269912413,0.9295171868717734,1.031297754511973,0.988085676556989,1.0645359717138878,1.0174708352837922,1.0086037009005415,0.9599263369043294,1.0207072842037035,1.0085084933697035,0.9932720780285212,1.0350561946147236,1.23630181130564,1.0588599249512898,1.0983412578865495,1.0560685384739181,1.0940177443509298,1.130980738946719,1.142239275241488,1.4308608888912628,1.2473756844093975,1.2873577988332139,1.3606642669005886,1.2342907635875737,1.1884285484152017,1.1575379944057516,1.2244705327588428,1.1122014924894463,1.223142816513987,1.2121208008254714,1.255452852583859,1.2048042859894859,1.1439675061339913,1.1599272882134062,1.1912334109562834,1.298025440801902,1.2881206141417516,1.2620359209984342,1.3261039491457633,1.3295144748556613,1.360501759804728,1.3254876324353875,1.2418879925148882,1.3756969410158428,1.356793525492752,1.360203869707198,1.2739261562709763,1.3458355225813965,1.4056252901570438,1.616198227161137,1.4683220234895444,1.5031274104563495,1.3599972558154823,1.4852495551727112,1.4574415496943496,1.2294731645870232,1.2410699147909845,1.1873860461180652,1.083353332672185,1.1199786614972123,1.0553254596940436,1.064543370419808,1.0613129067798432,1.060695718940244,1.0069514792007133,1.1473115269308272,1.4515825713322361,1.2275636051955485,1.0745685056495156,1.0058947893698378,1.0167507612328914,1.0022405137874077,1.089161254278299,1.126493182294538,1.0777250790152508,1.2010076090755135,1.1438869122110285,1.2996842071564763,1.5725646014472712,1.466965372600484,1.666260162653967,1.6989587782703894,1.7282385999149554,1.5124306594186285,1.3906690364415795,1.2682221544133019,1.1334943386701428,1.0840656374979571,1.0743614963619637,1.044139109288781,1.230458701562007,1.064411822140498,1.128419190326302,1.1278286304192606,1.1074776372888204,1.1597329873315187,1.2054861160080632,1.2511786300236143,1.2920941483847204,1.2787488935077667,1.4564580131223397,1.6515021490528796,1.6260793487095027,1.7715202745774592,1.5882113266740505,1.5540454194859132,1.5302027957465103,1.4313974390613515,1.4806430929550258,1.5287259427837852,1.4140402724079058,1.4579481138112644,1.400215314201501,1.4114919752854203,1.3452168890782676,1.3655413716163882,1.4840539657325689,1.4400697327248537,1.4085121580714721,1.6027820666428456,1.5655630107551153,1.4598746622099164,1.5009930448776894,1.6334663955299813,1.5740166444858634,1.4781097658647353,1.7074958411940224,1.7666410038565845,1.8103291069788194,1.7665213319498463,1.9117143120022837,1.748114501682721,1.6946683848472224,1.7256704166391859,2.186521018294246,2.054430814930575,2.300505114693126,1.614868886003665,1.6196705949118013,1.5897568920774605,1.5899864507703634,1.652099551301245,1.5297688321219527,1.5671789719430431,1.5077735314855907,1.5887085725609906,1.5440695645073057,1.664434261137823,1.6558979500804967,1.7072012749838348,1.6791468007341601,1.5396926962216646,1.4170561856788695,1.380126527687397,1.4436824451427914,1.4819002847232323,1.68737386678374,1.5169562968507913,1.487619361159408,1.520249054700531,1.6013131423441447,1.4955098507266036,1.4355754668430933,1.5319702280740137,1.539194710979037,1.4277347102828497,1.512287512970507,1.5933080626065559,1.5372393347942832,1.5468860752701585,1.6030940358546348,1.5577417253830674,1.5340963996876082,1.4785260626792764,1.508721437936043,1.5651181023362466,1.5378937633659095,1.50242254969298,1.57878846476942,1.6208058311606255,1.5852601491229497,1.6285792811283482,1.7811253930048871,1.7239905999840295,1.6688168761105635,1.823273052426237,1.851847524481285,1.9025002051361763,1.8866482970765577,2.054461782139754,2.072282579803432,2.1744656648460667,1.981248223760536,1.8041456422493938,1.7468918873226311,1.9485639810283013,1.891289819254083,1.9591235397480067,1.8614724196555426,1.668474839847771,1.5604906001079248,1.4544895050077018,1.419862675468997,1.3959521091402654,1.2815196873683345,1.2591976584667517,1.3342878007745413,1.2468936878300776,1.3152400255456471,1.2115909164040117,1.3112978872024175,1.3520334131540943,1.2722475944744138,1.247023327077696,1.9403727651770393,2.9908777943246383,3.553612686806929],[2.709085534841418,2.6893704407029193,2.6290511477257734,2.6849910681801203,2.613001845826494,2.5736111576389087,2.399582862010887,2.2497225137539845,2.102268631350857,2.0150296871505904,1.8886768017701605,1.8943148952372173,1.9844247932087697,1.8916067051801664,1.8152874077760497,1.8749878389205161,1.8803108325920743,1.8064457288924507,1.8111885832066863,1.8879254350765633,1.8671671860378187,1.9466906305655627,1.971074885642595,2.094972448369178,2.3003932805376395,2.057783818209955,2.101076841455177,2.0754986941837625,1.9403494808269366,1.9634103917967567,1.8012800821769412,1.9155736685659666,1.7615886505272456,1.7406511079980085,1.8717343449042365,1.8790710009088125,2.006314717811004,2.0391008970168825,2.125543334421906,2.194437250441053,2.24270664616883,1.9814846103798924,1.9260141088279181,2.1022132556530058,2.421081858612048,3.1759401234908755,2.9355805612106933,2.2070573155284254,3.0113669266837997,3.4541577638691687,2.6178960899195047,3.8571765288132727,2.5104244818707886,2.70098842581831,2.7000468892441285,1.7591594111812316,1.4760886825078605,1.9322907051707157,1.947430340298662,1.414385998900567,1.9061919269875827,1.9558941329224693,2.0796516312674913,2.1052268425128635,1.8514466821790647,1.8948807730714812,1.7153284638694073,1.6547999631133479,1.7532134849189553,1.6409565235547512,1.723479699336848,1.8335467317625984,1.6373294406647254,1.6503628369067191,1.7377647163869734,2.030703468301667,1.724355121939194,1.7147447030955405,1.8199887292266883,1.9050385427029979,1.9621927126674332,2.003284527674851,2.4510336206109233,2.3002779677146177,2.2328981224851114,2.099694903840298,1.984988572180893,2.0467831918056403,1.8866531173044367,1.8097043118449256,1.6850491888996901,1.661799534258444,1.637818980235174,1.6393274721636388,1.7040782505408925,1.6285290043537233,1.693332305566382,1.7659518812303758,1.8545391238421227,1.9711492657199168,1.9691446807719668,2.080983373461574,2.1245545133357644,2.1970677013286184,2.3334885424735585,2.4326953394107154,2.626945997569201,2.6013572974652055,2.643326193295443,2.6511138506661127,2.5520143290685757,2.4586098618467713,2.3441833833324255,2.3268333701751422,2.1351336647219386,2.177062264399919,2.165725636999973,2.098993601234391,1.9583157622120435,1.957154895475047,1.9565249927598896,2.039574355198519,2.11140121530074,2.180639947866439,2.2471712672573823,2.3768789287058962,2.5124899708597135,2.574527093894223,2.615605642677581,2.571410686098955,2.6507990599072255,2.6387465685500953,2.6619130267995557,2.5976730780352155,2.6365072629169526,2.697606310831716,2.728913154088041,2.5523950427448843,2.4934074311437455,2.373427095247001,2.3336781092783614,2.3455449899008123,2.1225326132319355,2.231690109766427,2.2510395188249364,2.1573379959973553,2.196690469000722,2.1679285189510122,2.2504282403545055,2.2150888473533787,2.2733384801993277,2.13973936758278,2.2550738947383424,2.2825367650016477,2.024754558853045,2.0159864461186228,2.0497707025120278,2.11238330512439,2.119507542526828,2.2793214619698867,2.3426550619582165,2.2242630539679227,2.3086903852401415,2.2886001770034534,2.4751198955083447,2.5916919121523923,2.617051882156226,2.7335636438646,2.7919921867097974,2.750424584989076,2.6372717540949226,2.5347833159470183,2.511723130420139,2.3851099950749517,2.294861644306488,2.278793315829697,2.1867383368764615,2.3000306630171083,2.249418210448125,2.336682055792116,2.387136279872118,2.393205509451799,2.466259481401925,2.480778712993679,2.4844217094499275,2.360485160907175,2.2675126015091114,2.529717288506158,2.583757446390373,2.536227456081443,2.7147487690028216,2.739314140483619,2.769504919750644,2.7884017837806825,2.6925930544761316,2.707446351406542,2.7412947869116224,2.6926232967556825,2.730879973436768,2.7115682945066713,2.759109782590446,2.7086747752808322,2.70915983553955,2.798203907683071,2.7958895916690354,2.7567808947110897,2.8744546346896716,2.860225822243968,2.815250645776515,2.797717397014675,2.867180361436929,2.8441877114636935,2.7884231268673716,2.8632898189779756,2.8885461687149823,2.9232248023072285,2.9020630127660083,2.9579629572386668,2.9236647291837103,2.896496875558917,2.9138700391867713,2.987997070898526,3.168726481807696,3.4194582103430076,2.954746470115177,2.9703556633768873,2.932523767654461,2.946754810840722,2.976218981299275,2.871821207231565,2.959033736595059,2.825704263628731,2.783040901430012,2.83524997959442,2.9422795646755366,2.8196362853277877,2.8757336097834707,2.924012006934178,2.8263781208509715,2.739774104100334,2.7157447415831477,2.7677898486852897,2.7802385239951457,2.9079192230622355,2.779314071749992,2.7782269627038874,2.7975418900792226,2.758324586460303,2.7273167990937957,2.779251603599478,2.7978497234317445,2.79323498758903,2.7878204151125257,2.809025998374046,2.8196903455072286,2.804965356691982,2.8458313799412553,2.8569299488941673,2.855094864876068,2.844251661757716,2.823232138974152,2.8433095320944353,2.8629928911235676,2.880450804132678,2.8479409266020257,2.888886539247195,2.9000139980928012,2.8746009889190733,2.9103048409511043,2.9520590021354978,2.891198824803751,2.853752294858479,2.984263599740401,2.856536579412615,2.9596954949992864,2.9182336963238638,2.9648863872350684,2.885525179206268,3.0650353539285,2.8662040367055908,2.8937034071634757,2.8508609237992273,2.794026873532132,2.80389804214244,2.821627085430216,2.806194029140702,2.8249726644256086,2.7229931135996828,2.725006318632126,2.639245674166193,2.5969777549023623,2.6071264683069413,2.633782030870696,2.3286511078628713,2.5650955486192135,2.6592374799120337,2.5075955191093473,2.5760306641058257,2.6868059968959064,2.519678064970173,2.555831315277304,3.335890470747712,4.116397824008256,4.314223537720705],[3.535346890461005,3.525943996125336,3.389356117867079,3.49637936108415,3.339708941805429,3.055925242648712,2.7860124755731164,2.4558350854774282,2.2260147202450913,2.1554148471299093,1.8682440663893056,1.7792833659860063,2.0257022395427375,1.9596569281657472,1.7208801395524262,1.813999769120821,1.9773643101902256,1.8546935219866751,1.958906166524021,2.017121903353278,2.021484672252542,2.10529624395106,2.1893489340422616,2.4093281723339963,2.5967158643388424,2.347655102685273,2.378307522187611,2.319664695230493,2.0469640184204447,1.9770905559662948,1.6549323517831034,1.7814023590577364,1.5223844485097593,1.5095311520044614,1.732626937771526,1.8207114005301273,1.9842986318796543,2.1558438036362633,2.348298809531053,2.4328586058225103,2.5777569109090437,2.1987151263423677,2.1242044714862534,2.412604217368419,2.7527790292134333,3.613555814577189,3.3521922475440267,2.5485006008432562,3.4516063028695716,3.9500437428589463,3.0239545328049995,4.160652439792657,2.766126563884286,2.9641546400050562,2.8364777712802685,1.9254185059628262,1.667467357986801,2.00087641059819,1.9996500422716423,1.563793354990179,2.020478043207195,1.9216598293789862,1.9822090212532788,2.0575303915230068,1.912422098438955,1.9247259428633865,1.7680744679186506,1.6415332105128972,1.762461185132587,1.582657096933141,1.7142572615737885,1.7533356131451816,1.489201327031053,1.5503405309175518,1.5962889905520037,1.8557997239848194,1.6025225371466663,1.4990967787343505,1.6730671134344621,1.845319131693787,1.9073730339313313,2.0746977537164204,2.456466321840334,2.4521878336925464,2.4677953359002642,2.2219595571010498,2.0485730126522994,1.9887882604784928,1.8323350261618498,1.6245281607833546,1.4881190631678165,1.406986961660777,1.3636490534441752,1.3670737209472104,1.4832003942686955,1.3558731253802534,1.485616911551919,1.5236492887630106,1.659981339392924,1.7493595256188332,1.8099657530042663,2.0100452515273166,2.101646882853329,2.2915940672476376,2.537711007132603,2.7246124309353488,2.971621323738265,3.0917861202135755,3.174378909326461,3.0410759439355513,2.9898656250452187,2.8470783386758476,2.6767509497934276,2.727160097133692,2.4328711376620613,2.581185622370448,2.4843109923170856,2.5385130276735324,2.257003458388833,2.145168247979712,2.1956178040168215,2.2981708117029767,2.5523211393070526,2.6172073641819047,2.677349679600913,2.917788982474383,3.031556838549654,3.1244254312943003,3.2022511332614987,3.074664295049069,3.3373456478813037,3.2873630963194325,3.3208069798624122,3.1109911832401043,3.253939038182707,3.263825430709414,3.474718335761676,3.2403907518912325,3.1698472994996485,2.9458360758833058,2.9610247098905287,2.9112992831978173,2.5753244789869933,2.68336887319425,2.6216539234570506,2.420279485240167,2.521460502533455,2.402090757862533,2.484212008695986,2.395280462623306,2.442179059623677,2.1683922295048816,2.2134969252346703,2.11568193010129,1.8326477274135007,1.8936447093149926,2.0037131141708664,2.157430607195149,2.1577902232080914,2.477280411917039,2.6747159993487863,2.4504381565839775,2.7326703597678836,2.6550537593026564,3.0018813209346957,3.2359802509483635,3.304131227303392,3.5231741227311613,3.6240722285086884,3.537609456175749,3.3631734665451973,3.1574877700739403,3.010927594643551,2.7734487339881584,2.5688424191792687,2.4569295811810226,2.280489499775212,2.338313511872794,2.4148586680003232,2.5228778537471683,2.744735906391605,2.744913502116882,2.9126571392018694,2.9871494037111384,3.0043086620433277,2.810448143327579,2.6620752372394905,2.9670417196905117,3.1023928574582897,3.1087473767703577,3.363688451330476,3.3362197114404926,3.4726887836436973,3.4985970821102375,3.429382743950249,3.5238301271639134,3.5549146495485435,3.498202966339637,3.583770000739603,3.4252835373089283,3.5321063016174787,3.354110855136429,3.3827726833803498,3.6363957051853957,3.5725514292523677,3.4615668894383957,3.7684258977848484,3.776622333510322,3.559263688238783,3.6058173879800255,3.8259270932019933,3.765661214917004,3.5619806082527434,3.8371956503787676,3.977597621900958,4.048792107942342,4.009194041406398,4.215782634338366,4.029613049499913,3.967623918345845,3.984150887488585,3.8265296401994746,4.200782691052029,4.253527189154232,3.806437430972165,3.7390502909804053,3.6212055216859587,3.6955280426974237,3.8300007763583763,3.7287627242259562,3.740216424474195,3.723370965508905,3.7319170664904804,3.731577224587289,3.786256703639549,3.8267885925459284,3.9063252775615744,3.8398236338181677,3.7333571866288797,3.4653728603834364,3.433601326728931,3.4419262312174697,3.3433960945137344,3.4202518258213264,3.2047382070738406,3.3160247309734863,3.348573055317002,3.179653155681616,3.1533682638961498,3.3438880993056626,3.2804901971380422,3.216155832578069,3.3523955919474533,3.4154351624769634,3.3301206994334853,3.3432509548251126,3.5615707294556445,3.5625428111142883,3.6418018288275325,3.5763668654204013,3.511103059037628,3.588960107946014,3.707423395032716,3.7402889399885577,3.6786407589218886,3.836449624248483,3.897688164536313,3.837607377688064,3.9143561297538985,4.075011452789374,4.014976708010172,3.91447535401472,4.131542732484022,4.059696230583286,4.190895205876236,4.148137054166267,4.339656172066823,4.26988663211767,4.398086577898391,4.154973326435756,4.036459770993666,3.8902420886196256,3.9817100316888236,3.9505261867441335,4.037757473333516,3.929933126196667,3.867325095442659,3.6128422090568724,3.512117434804805,3.3283588573484684,3.287102594068213,3.1230939788548344,3.1340679551742983,2.657940054653716,3.024378787390982,3.218064549759778,2.8873802634899235,2.820657010453631,3.2021507868075827,3.00422283330477,2.784799134746173,3.434535097189088,4.151567384069111,4.324385097362982],[2.072985219660957,2.0188691569994095,1.927603524610013,1.916686410996285,1.8485401918187356,1.7674380468863884,1.6071255780872458,1.4945926996579277,1.3718726794977614,1.3044886588238749,1.2190463781125036,1.2418533954248605,1.277823697045376,1.2191279785459657,1.192224166708567,1.2123928231661347,1.2065793858207359,1.1944354650282973,1.222730934855897,1.231996709134212,1.2816538664776633,1.326346498296886,1.3265500257769636,1.5122003992380157,1.5989145815949801,1.3996911240627987,1.378079173828929,1.3427612540053655,1.2496233198173505,1.2541907786659086,1.2222794244889574,1.264423343389236,1.191386430097737,1.1979832610338388,1.2166520053569527,1.1977915943442943,1.2965729798981394,1.3017444901368862,1.3632350327386977,1.4256194163046103,1.4953285327759989,1.2869055688432327,1.2300165088502661,1.394242440290966,1.7007221230438168,2.400347905558835,2.2030194416693174,1.4951204101605857,2.2580144955629162,2.6298938445239424,1.8339431907802086,3.153796228019531,1.7546731496854222,1.910499408808133,2.09927073282425,1.2135475020566076,1.1189758782247532,1.3343195982134402,1.332190045825803,1.207102725944836,1.283750517943826,1.3417542397674447,1.5014262258844913,1.5083123564461858,1.2597531173015302,1.2651938800762599,1.2165086663890283,1.1421351725092577,1.2892999392609243,1.170121843960849,1.2991849611881245,1.5651243424626173,1.254920054423159,1.2938060721013909,1.2252912432864485,1.6639318718619094,1.1617336336835686,1.1708404906279393,1.198330091294841,1.2538801897694967,1.2728178020932999,1.2720370875259968,1.7840501213831481,1.5397965464279235,1.4737641067882417,1.3497981947270443,1.2727891642876146,1.3519892318120883,1.2109152142735486,1.2333198644935572,1.1397882450267656,1.2377394787840257,1.2171467960347302,1.1807247997824275,1.1789577793996169,1.1953517521717596,1.2073479765185415,1.1885280717591276,1.260147315039907,1.4601823535955352,1.3302025982579124,1.4261353060562174,1.4181052100760443,1.4738567389221877,1.5822335476721365,1.6552625154082126,1.9074424012966467,1.8499898232049534,1.8882841037774636,1.9101306513178498,1.7802834597135826,1.6673310549626303,1.556008105108936,1.5352775061739907,1.3899024621283353,1.4258636944049494,1.4360935194058397,1.3853394461233774,1.28777176870003,1.3102972382276405,1.2975198951861329,1.364085838947419,1.4003985107670471,1.4390731094337847,1.4846577846665212,1.5901763923390757,1.7246118980582454,1.7747381288309052,1.8307581227109475,1.7828983177306807,1.87846275651994,1.8910076117926122,1.8894268546342554,1.8265667487883295,1.847939601018669,1.9190577727401603,1.9864032660024227,1.786911949446775,1.733885433795504,1.6000058026322244,1.6032879449341457,1.6408854670533655,1.3938393771724413,1.4787044370124691,1.4633621196822189,1.3795087762804625,1.4171959494412478,1.407133683020614,1.4583796334992667,1.4487701849049446,1.512282493045027,1.4314911393963667,1.5957871767910365,1.7692242585496734,1.4608771019158837,1.3820336894809502,1.3666442471831415,1.4030464099774365,1.3885496839309792,1.5062984324727737,1.5392288194563692,1.4272300408080933,1.5248867420589718,1.5020432679527411,1.6874730721392905,1.8175943089288262,1.8656362982085675,2.022265630141581,2.0780799125798683,2.031039852820995,1.8873280660251803,1.751064863725293,1.7049555793885522,1.5899670213233497,1.5120725722453914,1.4965133162490432,1.4444657015350364,1.5795357398763912,1.484641387136323,1.5551135358815102,1.5893633545426922,1.5983449508156424,1.6726096298939033,1.6970053913886178,1.7020837384700978,1.649771867321715,1.6015364780916082,1.8665515219343156,1.9508910591706903,1.9503425645503816,2.06495085131596,2.018503085846838,2.056118820279229,2.045896038940101,1.9511723610726304,1.9776716798422598,2.0079355465693722,1.9797539145872518,2.0281726220644503,1.9857123148569333,2.0894734110585236,2.0274448809885817,1.9923369602343284,2.1182927383130603,2.1593158333376707,2.0801448303060193,2.1988019447286513,2.2467219506993787,2.231622262417888,2.137601576714973,2.2583887144340706,2.309286013099965,2.1837360421235323,2.2509056552683604,2.3978415613540647,2.4035835984488565,2.4997313293654018,2.528365149911714,2.4241015013611715,2.468808171445065,2.5021392736147026,2.667279298419923,2.7896233862219013,2.996286682754427,2.466627357230907,2.466620121883418,2.377092897263195,2.400465271628743,2.475084840564459,2.284179332022242,2.330276700297356,2.241198259231794,2.2049580646164157,2.190316090424181,2.2546761552497103,2.2121196914397006,2.277533258661569,2.2970064167628683,2.1686982664623473,2.0517653304279024,2.057352318784201,2.1446542849363786,2.177884617935224,2.4007826608773635,2.199051232054712,2.148760151565625,2.252461461350447,2.242139118699091,2.1289489828564645,2.1809567016819256,2.2779233009121045,2.2627046702610136,2.2063197980986815,2.3232284320227876,2.375194581890994,2.318558265630364,2.3745581834266893,2.4638272171595625,2.416384075650249,2.394234144511749,2.296031320680636,2.348366191717679,2.417350954467959,2.33178407136371,2.286049955777419,2.3888287495388645,2.386832014715913,2.282703086271235,2.3783520854865317,2.4910248032867104,2.35349475767797,2.279221600563795,2.487065625475121,2.4492194187760283,2.461203578889861,2.377102645010842,2.5571261501757783,2.466714093872807,2.6869702724269833,2.358667659919181,2.3138408559701844,2.2084729362193847,2.2064515262730846,2.1948083921000725,2.247584507924116,2.2071049417752717,2.193420445254116,2.017286552814371,1.9858642955277654,1.8687320076573146,1.874360599719124,1.8859319559848509,1.9537138420302418,1.7100066738839992,1.8275434074879482,1.9609244551635159,1.8395992562955945,1.7817898069599527,1.9234646185246687,1.8486811959893554,1.8744070091845388,2.6679469080368867,3.604303309470535,3.9533884050895236],[1.9260534471006439,1.858371637725388,1.8173562251371405,1.8032912286694627,1.769810475264422,1.8245462686235396,1.763616695652402,1.7377007867460466,1.7206627222767443,1.6480699544517767,1.6505837425258771,1.7143909153685954,1.6659885600338808,1.6278000077691404,1.6725108190949773,1.6724100531995965,1.6094485243575667,1.613156892331823,1.582252993077261,1.6191323652165537,1.6721725837340518,1.687421778702446,1.6464065585798238,1.7075713192264288,1.776475347288305,1.6264032341218335,1.6527191820869054,1.6550944951013644,1.6264989113345045,1.6791426028045342,1.687456759507872,1.7285764387366662,1.6923955940493014,1.672766409372907,1.7087785479156758,1.6607925295880293,1.6990082184108046,1.6471508112133306,1.6484138069220708,1.6687813810541516,1.6826621630964969,1.5828110762032834,1.5605957661175138,1.6536206341266197,1.9324956293654176,2.5546978769997293,2.431997746823568,1.7981694031578377,2.4094439481213374,2.709669754291165,2.0127315318059127,3.2457458755008672,2.0315582669377514,2.041592073013778,2.1986956022858655,1.541163756956977,1.5286941734067256,1.6428439885166184,1.6794235036433527,1.685750243868901,1.7630486066654933,1.877398628147476,2.0245559021033075,1.913776658020673,1.6549449546611348,1.7203784197284853,1.705325342761267,1.5915536228841274,1.6801293022568797,1.6204757474437366,1.6136507825801982,1.8567076464585388,1.6508875811188568,1.7197663206064848,1.6507779343503601,1.9875889188180498,1.6224473820946446,1.6326224243500786,1.650706177449835,1.6747786811772667,1.6726409358348513,1.6742502151606304,2.0410960107210423,1.810884515288089,1.733700188884033,1.674029463140162,1.6239574302373478,1.7673508296825446,1.6627525242096255,1.6998903226364706,1.6112282338305541,1.664792344026242,1.6719814871965557,1.6527873015010273,1.6671489235764894,1.6684983618457707,1.6864060916069368,1.7023994260892155,1.7365767520731024,1.9042937844142511,1.782791351533498,1.817973996254146,1.7847779632732217,1.7546749703132987,1.764880937879786,1.8060922741699754,2.0492165950977848,1.9040800297409164,1.9128431994103803,2.0339794259207666,1.8864487442384223,1.8147493849419538,1.7413821471030977,1.7018573063241063,1.6661421549074005,1.6463460759150395,1.7093121106897107,1.6285272591124016,1.6251298131863199,1.653733526725396,1.6312324593463567,1.7065440990009655,1.6368112670879522,1.6445642151665374,1.6743477533617868,1.6966791846341491,1.795655980706664,1.8162751337573964,1.8459649079548068,1.84800348771321,1.8077607031265601,1.8476545083873355,1.8404540482376068,1.87189901270843,1.8632255336483703,1.970079297275683,1.8994496696926173,1.8018937232484298,1.773415460230777,1.7102391020888257,1.717923326927262,1.766732098783325,1.6241833575949318,1.6817711292809088,1.6991114482282508,1.6729252320982808,1.682257210869126,1.7082501751050148,1.7270466236783883,1.7264680026415975,1.780473571033268,1.8083639493043007,2.0457770745222845,2.2857903871865903,1.9635444389918886,1.8349226264214282,1.76157625178524,1.7393648105178448,1.7539542475409988,1.7644751826376446,1.7321405061101531,1.721237428362842,1.7212681720298864,1.7202723977407268,1.7986874203534688,1.8377107765979084,1.8484153310311449,1.9275402480008823,1.9575474092356346,1.9323240243567796,1.8417404626929763,1.8071062327282996,1.8144956955342515,1.7497854101376,1.736989733482806,1.774643812004523,1.779275874477509,1.860348041989142,1.7653565964990252,1.7875397161109032,1.758557850202309,1.7620804219885857,1.7798638094412012,1.7768847977748083,1.7716249203965861,1.7071913116042265,1.6297321779380793,1.7435203101554562,1.9934676252053731,1.7900226218786934,1.979894747649245,2.119845862910433,1.9885096849181252,1.9585499903199826,1.8480735637882806,1.81383358565019,1.837215478223648,1.843685143701768,1.82936125430012,1.8849245719108143,1.930708177244471,1.9618171016397268,1.9113136509657564,1.892553892464092,1.9651560984799128,1.9481360265869654,1.9174240408179692,1.9431537003487274,2.053601942526581,1.9396524337199108,1.9375182997948004,2.0208728639078704,2.0211658981055773,1.9390323901941433,1.9865577671543204,1.9401745337306375,2.094532889605564,1.9865151671225885,1.9640676383261773,2.04290846262663,2.0446640637807127,2.42888090173564,2.328077082470165,2.590668662709608,2.1591372173548344,2.1948234306828827,2.18409264860921,2.1348775327973737,2.1814059876168344,2.0040609593191583,2.055322100215098,1.9717458084579924,1.9880825820505583,1.9209812231947538,1.9158246841228168,1.9738539045579648,1.9596913704406342,2.091134648799811,1.916679508578573,1.9302742144913183,1.9590637161037463,2.0498325307714347,2.147978164853633,2.3146685772273035,2.1970334714140876,2.112088306272364,2.1865779300832013,2.250921151333533,2.154482587189706,2.1178985050746912,2.2717265534963134,2.2944155178828938,2.153398124712831,2.246727431392636,2.3775739442427026,2.3448913014136625,2.212856902820155,2.2917844665644465,2.1928508080153724,2.1978778182266976,2.136764898128982,2.137196771225369,2.1080419947595246,2.043550102238882,2.0125594830682445,2.0274831124531545,2.003846504410891,1.9425184703331964,1.9977097494725118,2.015459427119857,1.9176819488440504,1.9262446374966486,2.0119871590847596,2.0202197100960926,1.9634432712925785,1.910712623226889,2.043772531696536,1.9774122367967812,2.2046442031654503,1.928537589955137,1.9032078296854031,1.8636233015171666,1.8601956698927418,1.8801860745925105,1.8941184437509166,1.8967036478832036,1.8865649139532397,1.8272050112657323,1.8222225641366017,1.789046387583024,1.828096437910145,1.9398928661250647,2.0108464214605895,2.1522976119442183,1.936013008273938,1.976853700429836,2.031580477721227,1.9693734090752966,1.937240199181438,1.9769850097960888,2.098099960247121,2.6486065330911255,3.5169223322410685,3.9111825685567934],[1.1584845882262216,1.0831901291220452,1.1507001909037715,0.9658603003438325,0.970263466908019,0.9516169801671305,0.8941070969922773,0.9281385508753992,0.9177987211474222,0.8776668203487943,0.9226162688811446,1.008935244333393,0.8971891536683676,0.9024946559228619,0.9894089698580835,0.9516365678453355,0.9278757219971294,0.9453908980505688,0.9675241756952305,0.9380188892025211,1.003429988509936,0.9778222934667987,1.041589424649608,1.121267992152159,1.2267642845731879,1.0441227732398881,0.8953565211899424,0.8751751830309142,0.9159506468717499,0.9574010569173369,1.0402678919593595,1.0332080353093447,1.0875615954415556,1.1062894934267589,1.025644326125819,0.9663796081029311,0.9715070715990346,0.899916166482529,0.8663833274320744,0.8721266628083493,0.9168062418184596,0.9150230373746163,0.9482864700674831,0.9063709325760569,0.9964845119815954,1.4157994670225498,1.3155758251524412,1.0333868697547788,1.4981885010138154,1.5883592316208088,1.089342116616151,2.531400147031287,1.2699004359449892,0.9514484450912233,1.4766489120400887,1.1374911798496958,1.4035816861348072,1.0614236423690049,1.2108611301656316,1.7325854422382185,1.367244572223425,1.491137545452545,1.6613335490108259,1.30307052877353,1.0303573057820943,1.0955160617435722,1.2558436469738936,1.0982010354243739,1.2669499533898811,1.1514911421904777,1.2287947248278086,1.5040871630569255,1.2804160767796955,1.3597913058162674,1.1789210253749345,1.665598179640573,1.1012369232825483,1.0905823552388716,1.040339522701681,1.0397891807009831,0.9951669906271059,0.9961014742694015,1.361356820552251,0.9946647540068941,0.9569911207402524,0.8981753543019051,0.9278824489024142,1.0920323708902764,0.9691773099007797,1.1135474147072653,1.1158329052483127,1.2127589483648957,1.161149486799688,1.1291588349669983,1.0824727283093696,1.1578304822434857,1.1152792568966676,1.094467469497212,1.0751581867648112,1.2874753662811675,1.0804430573179444,1.114905862577614,1.0291783696627064,0.9959539771549641,0.9729264243412395,0.998259730302278,1.2215009590402444,1.0580151709056258,1.0764531297010094,1.1586948670412984,1.0195337534263162,0.9125213219241637,0.8921987270537383,0.8564564096811818,0.8580097035691903,0.8513650674717381,0.884955398231456,0.886627698110475,0.9933990165941559,0.9917045816558591,0.9677031347349806,0.910994519933161,0.8547302512122874,0.8422076003195095,0.8276880459632552,0.8592028475407005,0.9235697396760275,0.9250890374961116,0.9750975847349616,0.9672064749777988,0.9658032106006949,1.008456321611722,0.9728721020740044,1.0094089894653349,0.9843199577145515,1.0939556198234617,1.1103638989993583,0.910938310613287,0.8858220959213079,0.8694001608131173,0.8936968939265167,0.8949466542444121,0.9253420714742157,0.880248883508586,0.8787222210585598,0.8902773664087976,0.8632549035723549,0.912472460458608,0.894165186344497,0.9167366973651638,0.9631504387120102,1.0221650502790562,1.2518129968598344,1.6430986417516256,1.316558741373205,1.1251487400036926,1.0138226386335296,0.9841783258375345,0.9740398280293444,0.9694948876475717,0.8561222923084797,0.8977253313538658,0.8778342235701572,0.875750128382555,0.8971983299140828,1.0941406193428491,0.9699509754195402,1.1139884733116099,1.1755870980502658,1.1289738648707697,1.0098045097090955,0.9233163473565847,0.9178934765704165,0.8758135811105396,0.8866939766478481,0.9340803027889851,0.9676372546559763,1.1336034299476216,0.9438670674083305,0.9898770362254389,0.8788918887071406,0.9074475824413741,0.9134975871472566,0.9331993655923557,0.9311498866473694,0.994400515664235,1.0077682167004807,1.0381026661397947,1.2858424685863847,1.302409011951481,1.2586889477378445,1.2455096532200374,1.1520355414958663,1.1302921867731948,1.0825405042947567,1.040688511330675,1.06183622309731,1.0539542900591703,1.065517092638961,1.0915212136518515,1.1516233874546538,1.1692069390526305,1.1122833532892347,1.1272418171652863,1.2089736959236101,1.1735180577383888,1.1941795448877064,1.2092825212447647,1.3329676924139433,1.1859575740476587,1.2277747818337452,1.339275702970215,1.3013350502121632,1.2772835330088292,1.380164026660083,1.2995549861128135,1.509327808242799,1.4023557918448633,1.3317225956248528,1.4315875648417098,1.4480996359344736,2.1004745063634225,1.7860945852998935,2.0867547264631896,1.4988635800728813,1.5402959013530941,1.4945309454615114,1.4703956910417098,1.5351581065370774,1.2830369620718054,1.3166587277451212,1.2713679825756645,1.360065512604081,1.194410031598363,1.218406034278599,1.382245824881621,1.321026226138295,1.3879452864067763,1.1782015459358426,1.1449230153543009,1.1735769673815961,1.2935325665619064,1.3959192294691432,1.646137911410743,1.4753291953255978,1.3310678706991144,1.4557625254845012,1.532922400654241,1.437438500540012,1.3682264076926614,1.5634864952216738,1.584001099853846,1.4175907170777815,1.5736547507054528,1.7328085724009934,1.6657011918026883,1.550642553258247,1.6742733390112707,1.5541875418122735,1.5403872365619617,1.4434001564525323,1.4552055343858539,1.481007668335153,1.3526602012759426,1.3092718884702181,1.3642734736458928,1.3345224707051533,1.2152625777640993,1.308831079921148,1.432125342190087,1.276287563379715,1.2844334998888074,1.404688708982065,1.5795644234561956,1.3998083715083247,1.336477930010606,1.5206619743334244,1.505115886124722,1.7631824027891791,1.390872936729707,1.2289243354034138,1.1819288664580234,1.326289904546186,1.3447369040812591,1.3914763424659509,1.3467341645740025,1.2214234217887259,1.1095873354775625,1.022646720101043,0.9752470890246594,1.1251014787536453,1.1482611948460284,1.2175545780967119,1.5195613175805653,1.114512590705462,1.1757358485763774,1.252553616366604,1.1740765095933468,1.0922310758147415,1.234179621600408,1.3210431962460212,1.9644788591608349,3.042302230035486,3.6416649237959793],[1.1077808248355374,1.016372831824097,1.091098491532269,0.8414595128722756,0.8780889829578011,0.8596948349281218,0.8333948278201204,0.8923101994317634,0.8865400176036858,0.8508443237290491,0.8848356022381739,0.968178151641603,0.8651256451736957,0.8628340073638905,0.9566438837292,0.9232767785764543,0.860489342096679,0.8938902746393926,0.8704324300207424,0.8675309126750084,0.9338405037678168,0.9335686127373559,0.9457879692184988,1.0379564793553548,1.0808200460121598,0.8936531013712811,0.8253564764565268,0.8136905340788584,0.8587828372399074,0.9292132778265078,0.9970827514670326,1.0058510523977664,1.0368194043759664,1.0381380236907125,0.9910963757501872,0.9311277404688816,0.9513877713324822,0.8739888561177788,0.8298993293149582,0.8175150255481247,0.8708522807754525,0.8655759165397873,0.8983039879138588,0.8807131885978439,1.0614175625153681,1.5219304153333986,1.406877729408767,1.052972497785377,1.4745177660334319,1.5683970520199453,1.0035803173839302,2.468297833783666,1.2151030310884998,1.049054204110819,1.6597267142252636,1.168881354968391,1.3989977273146135,1.0632439309651571,1.1720514701287572,1.6653723841551564,1.2683152588634958,1.404780924986298,1.5742303581936645,1.2802274748069757,0.9578974861677146,1.0468592599900586,1.1552727055522793,1.0056208061413134,1.1568220944274303,1.0390364903137181,1.1248093298051614,1.4326860944542805,1.1810725583569432,1.2688620367649361,1.0806908489540217,1.576357040460588,1.026023022596272,1.0235466763361776,0.992709530588777,0.999647834572799,0.9590114826485421,0.9752792732239534,1.3582038814132016,0.9733510258259457,0.9016455968477088,0.8884267093877475,0.9013049284367118,1.052652491896839,0.9412300249766707,1.0739144664059361,1.0260977820100443,1.1139433716650664,1.0795884350836484,1.0505882972795153,1.0180352993193058,1.082476022201335,1.0561834605718883,1.0325299550129934,1.0336885019831674,1.2430193665898384,1.0555590248659426,1.0930643780726406,1.0030184933427686,0.989014526320536,0.9827987252394541,0.9891310083944941,1.252501379495801,1.0069251501542922,1.005941485445603,1.1680530098941253,0.9775301989479698,0.8832630974539466,0.8458372346195329,0.808585290224929,0.8089042719605178,0.7661032926460198,0.8290994304673863,0.7773325325514859,0.869884377409486,0.9063927832738589,0.8734828006129757,0.8610579331587033,0.7489724188607076,0.7554391352807334,0.7904098025148275,0.8136112728493904,0.857316886517323,0.8521512608787769,0.900553415954028,0.9199031222962961,0.8845563353462309,0.964849623290351,0.8907672456782467,0.9736253784843331,0.887373928528378,0.9814923144123644,0.9619883004054517,0.8018494532354886,0.8005003200209956,0.774452644978867,0.8084745493885348,0.8238912484823052,0.7893504965473837,0.7846893912779627,0.8116340044937363,0.8396120654742598,0.8091305809939165,0.8488450260662784,0.8523048739113076,0.884153674528552,0.936581505508251,0.9870800633772352,1.194998262874119,1.5474607842425852,1.2711214629509755,1.0755115701141553,0.9867292035864477,0.9738412311804919,0.9466302725808591,0.9208011478224678,0.8268292940684366,0.8603176124409109,0.7971133901830856,0.8079939963894511,0.8069054351920535,0.9357135352002569,0.8391378219205536,0.9328273478441148,0.9859690658747865,0.9345589848108423,0.8557052346581053,0.8113612001611361,0.8399799627894202,0.8297220249660664,0.8528675404030047,0.9203200644817102,0.9561479935831213,1.1166156358148016,0.9304802636509122,0.9868863256678532,0.8364557367894957,0.8923280456134993,0.8872880246304475,0.8710073637316763,0.8419809340048685,0.9150801388185718,0.8892630844484228,0.9315585332112636,1.135505867661572,1.204016190983782,1.1979658311424206,1.1569399732537746,1.0604139887922357,1.017062637050335,0.9529438996795613,0.9298593014873402,0.9390304307753564,0.948243307925991,0.9578079666823965,1.005153178086451,1.0391365572357507,1.0828809917156157,1.02198596606486,0.9966629706106146,1.074255461141808,1.0636636725316244,1.0412375880296505,1.0351124007963546,1.1559099313189891,1.0536128770312396,1.048442101841886,1.124449007412423,1.1416357938851647,1.1133081942925642,1.1293651705321595,1.0810432388162678,1.2446926577038036,1.1523288943757313,1.0722365711678867,1.1533763841509375,1.2095823633110692,2.0763055838966307,1.5962989258317952,1.880550141916935,1.2353276350180369,1.2819465938617705,1.2951221377961342,1.251251562256579,1.2745983063195292,1.1358616075318797,1.239643111007493,1.1612188585407,1.309426795781144,1.1352030712604193,1.1483333650129701,1.2960824860433564,1.1694176625294084,1.2186260858549445,1.0382984634133914,1.0384764136349118,1.1215695615535948,1.2462482558313828,1.3401022595328338,1.4682119477301334,1.3964079087878865,1.3137914547111533,1.316456844253563,1.4261152825293568,1.3754537153505235,1.2370783993488452,1.4118513534002002,1.4507205741293139,1.2475703583787,1.3800075056205212,1.556827541987122,1.4965890094920453,1.3366383423702881,1.423309153877884,1.3136129812849147,1.3210095090201626,1.2668602838085004,1.25294434765311,1.2317624360501398,1.1389093712613347,1.1400499162143736,1.129867940380618,1.1017666921962805,1.0378339727088612,1.122309501674152,1.1792430693217089,1.0639007036075026,1.1287470996703584,1.1414049276705365,1.3694415504221007,1.1638996416398173,1.1473665774472375,1.2775631578894955,1.3126249206592389,1.54937645340572,1.2214908523585546,1.0676505595603856,1.033958827672395,1.2112759594946243,1.2234958448417972,1.2572493526193382,1.2124690867048256,1.071348109180224,1.0114581085714165,0.9258503820236756,0.9018028856014433,1.0672978095396481,1.0865122334551487,1.1064149288186367,1.5279340689972303,1.0666430755018068,1.0814865906465172,1.1885825401812162,1.174975783432095,0.9843636169711474,1.193585783125071,1.1936689110099046,1.6929571502654963,2.7082548831212456,3.320320871078776],[1.3285685371835725,1.2865652274805948,1.3475281830512,1.2990043193749405,1.3316819277839111,1.2622982065252797,1.3441153815985136,1.357392366433229,1.4168090604084742,1.5073743266844768,1.5194924831188958,1.4944494529094525,1.4859281162506441,1.577245287211038,1.6010034800124537,1.5662627016487127,1.6030683563093113,1.6680127960005506,1.6850536169105768,1.6712000992216243,1.7689897070393008,1.7431932230339209,1.7910152902218905,1.8985779796406599,1.6132611841883064,1.6298866146921505,1.6111716592543255,1.5746252507466203,1.6068955887017824,1.569558317913412,1.6453313743778062,1.5525372487496023,1.6344461477306802,1.6641411213146602,1.5941755577814554,1.594490351558766,1.542002005707735,1.5784195792612825,1.5616658679548447,1.5130094755970473,1.6556601451234152,1.6963718634472154,1.7190322551676518,1.7366631950154636,1.8924512547913968,1.9628685232337753,1.9207432425471327,1.851695703025878,1.7558133703701686,1.6344114362366307,1.4693309114544815,2.353424280153066,1.556491518195294,1.5767294432316907,2.220626904385329,1.968306260828662,2.1721644958020985,1.7602978859032843,1.8177181795318553,2.3443071594446856,1.8436341957915718,1.8296548890050404,1.876047183991501,1.6634336757127095,1.7490927448147475,1.6973693164650245,1.8259993877828533,1.7944757259218451,1.854896271524128,1.7936991068918113,1.872620845165953,2.0783577783068345,1.8762952283987946,1.9794933385681952,1.7800306676628066,2.038412269011707,1.7363574061649933,1.7214984941944387,1.659117492995163,1.6513145465579455,1.574023113429845,1.5870556052617166,1.767524102489087,1.4711505239905553,1.4997155049096786,1.5236619266976756,1.6083653064515355,1.5992960418193067,1.613571033332809,1.7228481766023893,1.7424633688067468,1.802261637454257,1.7616814672002026,1.68588938489026,1.6450387915470253,1.7146177683799542,1.7011653834289786,1.5725462773647647,1.5279612377776042,1.6135092876959747,1.5046638387704978,1.436556419504989,1.4828330947304047,1.4361272599726267,1.4055056183447987,1.4096094837899906,1.5409827276186017,1.3255278664368917,1.31792089779143,1.459483022305596,1.3350012328127854,1.3674488477789188,1.3839551070599732,1.456235152290642,1.5196006375993678,1.542190573369939,1.586714751601254,1.60009030461327,1.706044251893867,1.6715842016661888,1.6748941882930672,1.6129039164647445,1.5991271880038287,1.5718912727216128,1.498807609530894,1.4635971308714306,1.3510091864053486,1.3285346148525234,1.3240296977834551,1.3548799697059335,1.3343677150505877,1.378044160278828,1.3439949608241757,1.4003066704378095,1.3605346226607609,1.3587331221761048,1.4491262869957244,1.4208581818198498,1.4717934705037516,1.5001857613510399,1.6086840738376158,1.6627521309780133,1.5832364181539558,1.5341240827934757,1.5470595943831058,1.5400205026840723,1.5146887282158439,1.4730688311883275,1.4285350322301569,1.4184331834031496,1.3750940924375257,1.3735264171958648,1.4380100633321962,1.7894864270126243,1.5672575187183442,1.4449132250820291,1.4371509272789897,1.4180837244247848,1.4621769455071993,1.412053505351057,1.4161360795958993,1.4810766046205224,1.4563145936285966,1.4678605053382725,1.4240923735240651,1.4321865616748368,1.413201571717824,1.466609535254384,1.4645215069116377,1.462345965382926,1.4175789069333775,1.410787686379738,1.390928100190245,1.3992885795110055,1.432325205284947,1.4350001769758143,1.4801196832930796,1.5656382945932925,1.4550821890842403,1.4449964427664161,1.3927261224239922,1.4066055958775703,1.3835219177779174,1.3741836933000922,1.3718150540737348,1.5325490550691063,1.585989677865212,1.587530990031913,1.6021518818693308,1.8033376066649651,1.7913074363142991,1.606814987466319,1.5009908141298989,1.4570595171899696,1.4235020529853408,1.3788896615380595,1.384723444750167,1.3306551706364387,1.2982791065616928,1.327935469659676,1.26894998334587,1.2984942873329075,1.2910908349083412,1.2380823858825363,1.230123118564359,1.2397376467900603,1.28581840480483,1.1913849508433452,1.220035914693146,1.2140584971452872,1.2011604152918436,1.2014849604025373,1.2153071915864333,1.257273100148949,1.2275709193069817,1.2274983158141393,1.3036530405192277,1.3020302129668846,1.2009020365936676,1.2277003074669852,1.3105096251180164,2.130261999426191,1.6664639048607348,1.8796597597172136,1.259952848881308,1.2949181081286116,1.3456578179419851,1.320747604383087,1.2993058079945432,1.2501717921033777,1.396567501721149,1.3113293279020792,1.4632182243945566,1.3540364266090217,1.3852525742237352,1.515842577737215,1.3826602061848945,1.4250168614204355,1.2835249953333274,1.3168523398269838,1.3552632617299534,1.4049266863167582,1.4588326809430072,1.4935843529962414,1.4809563896714033,1.4545322802372422,1.3561126130713148,1.4924723082183682,1.463400363190448,1.2910338905406953,1.3951106783429381,1.4333523490741094,1.2692587166923643,1.3513701281136057,1.4921554728560373,1.4466429070035396,1.319813538342447,1.3936708518167538,1.3070741632886982,1.3033367399252398,1.2873202158887018,1.2692936940372075,1.2451360063744725,1.2038968453108891,1.2367219864182906,1.208052912042703,1.2043731893483596,1.2037852562397995,1.2640497066311427,1.3026374825870795,1.2513063771503987,1.3271409412598927,1.2989365322185573,1.5103218187575929,1.353647041354834,1.359984801195827,1.4840238762259075,1.5084744347571464,1.666785144210542,1.4095195367439939,1.2819218527050968,1.282168046176521,1.440256446101844,1.452616061713531,1.4995457240875474,1.4439035013342194,1.3260735312214738,1.3579239071679408,1.2875631689631266,1.3276198144589895,1.3831422508254123,1.3301330234057982,1.2482322129546073,1.7737615029488527,1.3280460116928525,1.2481204156227426,1.275974307641372,1.4611659981514116,1.2140802510976154,1.28346542569634,1.1853410979138392,1.5194768086357227,2.403017220933426,3.1608074838029157],[0.9808495520339845,0.8653190068702493,0.9833187796760338,0.6925785573756401,0.7451841531188758,0.7786275264137541,0.698765817307577,0.734511171428756,0.6560713793046489,0.6565965808005242,0.6975465706936224,0.7662308065546187,0.7002724326146291,0.6981606524133023,0.7946175365246119,0.774517524182986,0.7434277625453709,0.7905793144441452,0.8113421796400896,0.791219509657394,0.8417279984846197,0.8348072250801004,0.9558310349850376,1.0759337954743713,1.1184595132443882,0.9566287310080385,0.7921379816016069,0.7510728120327104,0.7568051924367493,0.7869256053217873,0.8731442832293933,0.8480434636880317,0.9211145121923701,0.9225468766491854,0.8533194376463807,0.7913129624531638,0.8147908234170074,0.770257091339881,0.7322186329988694,0.7516373893076964,0.8212184596119588,0.805306408702643,0.8008110730089234,0.8545610834527226,1.0455128487292435,1.5066622616760998,1.3589133288528412,0.8877449349918846,1.4414825414943986,1.591708503797661,1.0161639416913348,2.512587675150279,1.2052529554846216,1.1276652200443005,1.7059512477488417,0.9838958285284469,1.116807481627513,1.002374753203139,1.0729735063746584,1.3031448604545621,1.0663033652954523,1.2680347007070945,1.4889516656684294,1.3160949330287652,0.8976413194711411,0.9074762811308706,0.9992936083268918,0.8905940188115726,1.061478858912577,0.9102897115917564,1.1128256665688308,1.3939291294154033,1.0693700619576212,1.1946585998208528,0.9404964325534931,1.4997937461890825,0.9039854147525826,0.9060301725881884,0.8617693690776662,0.8602715986436923,0.8618806454281382,0.8592596318152571,1.254779738423398,0.8746072442167736,0.7937406792607113,0.7700776394062692,0.7996441425586412,0.902535447888434,0.7925756170093475,0.8969062962256332,0.8881837657029891,0.9931444981760166,0.976899194494865,0.9306180128603284,0.8843578666281364,0.9600033598903173,0.9011256954230639,0.9079870542449252,0.8994145538790405,1.1286430150981237,0.9242171964785616,0.9318427265723773,0.8577698799450302,0.8617624507745829,0.8419544766581958,0.8564063371411258,1.113518285382303,0.8773100058408984,0.8951777860729666,1.0167830373422624,0.8226211036536992,0.7343367242054056,0.7030511434787095,0.6994045782853208,0.6833172141848394,0.6832623365032221,0.7545145679360448,0.7196010839572556,0.8069321254265852,0.851048132460137,0.7940551266648093,0.7804331453240033,0.7027822399529087,0.6828792352287856,0.6555056487618336,0.6785228081793803,0.747810421162559,0.7514532164259903,0.7648962474281032,0.7980005382868006,0.7696145855707449,0.825855809466648,0.779868613491728,0.84036237707369,0.7833847951719867,0.8934845965734423,0.9495737611597587,0.7232198364238716,0.7001336094745461,0.6906723436233049,0.8035396077033704,0.8583164533478727,0.7301038177536202,0.7041542337961446,0.7082271026551382,0.7186054181505006,0.6869561919300924,0.7083401292841873,0.7120246425986859,0.7322510113660227,0.7865495648069659,0.8125076755781963,1.064285795575221,1.507374171461267,1.1316206692643218,0.9331683377709292,0.8297192613907489,0.8161030242877664,0.7966485055825998,0.783779703854828,0.7151604381656408,0.7480158867314719,0.7038065414353563,0.7128225744758918,0.7344144908314725,0.9367557195985431,0.7993379946118163,0.9281440732864965,0.9610711821039095,0.9505838546665473,0.8211675089138373,0.7478492993939244,0.7512538193620047,0.7358153268819995,0.7341620557446454,0.7836811195138531,0.8028825496994967,0.9901375328009813,0.7834919074123686,0.8771283358348426,0.7442853190953806,0.7711086446811323,0.7636214919859831,0.7729105671214078,0.8065128999305177,0.9246276933231544,0.956061041992582,1.0306592242786614,1.2109726313677491,1.2155319251108523,1.282341059735712,1.1681266719383647,0.966516314065534,0.9254730287083193,0.8606989193788477,0.8326254582192363,0.8535141757769852,0.8159317377965375,0.8213626337048522,0.864098736680293,0.9000497631102806,0.9428943378490942,0.880613474507641,0.8749449928505906,0.9681768690646334,0.9406146992811552,0.9441165945491932,0.9393229287646491,1.059740506265025,0.9294053385225164,0.9609646515547303,1.0549032910692375,1.0264955174245867,1.034486088169014,1.1002928884038223,1.040378234425234,1.1999797730443655,1.1106820800211148,1.0525542267955306,1.138043960128079,1.1648609332857214,2.0539461156612635,1.574904531559368,1.9160532257323022,1.2342559096965116,1.2841179218949914,1.260764028281556,1.221004630253008,1.2174484371202805,1.042490974181059,1.1515479451819073,1.0520735870120097,1.1753976866318276,1.0143775374918926,1.1278276490923935,1.1197395229082991,1.034656802258295,1.1022268534361859,0.9101549358292198,0.9095771557044814,0.9573614431473583,1.1373803190176952,1.2347388917301725,1.47578790725221,1.3241264637329782,1.1719982479831803,1.2531318887668659,1.341743159412053,1.2532167187228989,1.1611376797040005,1.3647109956908978,1.3943280950104782,1.1583239646782646,1.3073994516482652,1.4903811835630676,1.4086735008172995,1.272606231355248,1.4102409326696939,1.2736034395254732,1.2678962120292756,1.1989356852267588,1.198638656720777,1.1959045464602363,1.0970602839299854,1.06924724974255,1.0989185459503061,1.0638766286239698,0.9475412333540195,1.0386366383282897,1.1557797119405686,0.990008321616888,1.009838504759658,1.1014660387520074,1.3009852362112893,1.119539049125219,1.0820125854745242,1.239861483621045,1.2545417972016948,1.516582392798946,1.1552963336067619,0.9651969824390214,0.9375986722560303,1.14087883323159,1.1454496276711195,1.1954905821841546,1.1554323212708013,0.986058591996248,0.8807020573861465,0.7879005086541802,0.7642557730407125,0.9104152434764289,0.9160642107633845,0.9701798379675179,1.3457656713459343,0.881186865913661,0.9199024495924286,0.997095141518423,1.0412753104648518,0.8120861106632661,0.9909230681927552,0.9967989195657935,1.803120232035032,3.013360340090656,3.7067917161667077],[0.8979394286021546,0.777506056879794,0.9327809754070188,0.7208297180328055,0.7848089475102327,0.7848440772481802,0.7054744946948383,0.6877643077335367,0.6578600995282483,0.7050192313586957,0.7304863655245863,0.7364029656233245,0.7267193132034818,0.7715485165640383,0.839866468689199,0.7960252350560856,0.803940837151883,0.8505942839724272,0.9093508577522668,0.854745280437503,0.8915126832213922,0.8839925483623833,1.0270279553338937,1.1571398853954291,1.2667348289315208,1.0942568983088716,0.887558025205225,0.853821250713641,0.8072982261497061,0.7960627825362728,0.8658617949431097,0.8193927783773087,0.8354596400197848,0.8615253466218237,0.8063159862735744,0.8058866569788941,0.7997456868216894,0.8061545041842411,0.7764526063568165,0.8004782734202521,0.8830409454312106,0.869992861000485,0.839290309597965,0.9230733974639619,1.1135343815768401,1.6380979215994895,1.424832596338836,0.9060212327038478,1.5486044046836152,1.7448033362125992,1.113605611181946,2.5680169722224524,1.2741255263946705,1.1951724491401805,1.7279665897462977,1.0180366870467064,1.1235774424357743,0.9708065897662618,1.051299057665539,1.2807073041174215,1.0721943187976595,1.2970150488127186,1.4777538510978678,1.3552394485970498,0.9532238738361576,0.9446044792795738,1.0146654063475709,0.903207258623998,1.106079466362508,0.9491711378093205,1.197700812472023,1.4716524340905899,1.1181020865497642,1.2158553139172779,0.9771753598739427,1.511259957376382,0.918849325457072,0.8819683019229961,0.848907542399327,0.8639267611784375,0.8391676904113303,0.8642974619991647,1.2653150599613356,0.8606461052687867,0.8077185742677336,0.7742735518164044,0.8057927708283097,0.8884067013346922,0.8089909969898037,0.8642888891854035,0.869009023390862,0.9530185186398625,0.9332453159603532,0.8767835149239293,0.8547591241511122,0.9165857327581343,0.9013004039953693,0.8455500410048029,0.8519890522110328,1.0352660416110222,0.8520028651908198,0.8571230969246574,0.7891884333431194,0.8125619623427852,0.8271221907590202,0.809365316532859,1.0681315579817294,0.7883208950560877,0.7960609363721197,0.9383920460008751,0.7500057254908994,0.7111834000190811,0.6908947945618635,0.7423474327577987,0.7515990453671665,0.7852857524693754,0.8599792285840888,0.8518992928704597,0.9113968696967584,0.9347179034733678,0.8965894444539229,0.8871549131312212,0.8338752113380441,0.776861753193133,0.7406602933852766,0.7477195131131357,0.7526047060742554,0.7743260683335483,0.7456144919639147,0.7626599186666804,0.7697868345086997,0.8006608526125214,0.7708873881560983,0.7930888221452537,0.783445324749518,0.8961236317577694,0.958804292823982,0.7923252162586797,0.8017606226267905,0.7812025463605774,0.9195887340260085,0.9586638838327197,0.8699944389808104,0.8209605419380864,0.8006306275069623,0.7823779149066475,0.7549107540458306,0.7318486907816322,0.7050496476942905,0.7103641799989032,0.698129133598736,0.6977565327919876,0.892975036506305,1.3153414981720066,1.0111182587905314,0.824771118820358,0.7653772135826334,0.745351674972783,0.7568351476590446,0.73173439599129,0.7422005233298229,0.7669533572810431,0.7750100409606797,0.7680641444305942,0.8192657983513043,1.0561713694586357,0.8819771502738305,1.0142850010128155,1.0164018900986633,1.0331551404547177,0.8761894382348976,0.8196795425275468,0.7946709036808643,0.7596765491417948,0.7347335763246571,0.754399766688311,0.7628473392497866,0.9568678917388532,0.765229126179418,0.8636166853830824,0.7538989148604728,0.7547883770387154,0.746988411565107,0.7691994170573028,0.816365555748401,0.9516818588509774,1.0005171238623418,1.1119634220200756,1.3260008404751111,1.2705092660044484,1.3420544630587197,1.1944873631885262,0.9963878891039285,0.9306490453369389,0.8436587431256857,0.834632987083106,0.8629128520404018,0.7765434758176916,0.7818294001407182,0.8112381711474647,0.7987108660107973,0.816437753038203,0.7862857192662072,0.7928405809238865,0.8432667866686204,0.8213376544083446,0.8748451315399106,0.8359319171345461,0.9046786024550375,0.8152373570300501,0.8631428638645777,0.9240693041356559,0.8898878198344332,0.9569172447811731,1.0045229543596923,0.9582824276780899,1.079335188267936,1.0027939228917064,0.9461534729136594,1.004561731524046,1.0421393645890635,2.0877817765044404,1.4595290840670903,1.7877764653784447,1.057940790440745,1.120416193884025,1.1225469353199684,1.0858360241874891,1.0753257044860522,0.9319216955329228,1.0803106967943892,0.9316175490130453,1.056922438558053,0.9401425864069722,1.1232629150434348,1.0103152223491538,0.9635872616121616,1.064319555698013,0.8617819836050795,0.8173793780271853,0.8451516587528634,1.0240191668593557,1.1040492608830585,1.3166669060041627,1.1764156714797727,1.0732447375479226,1.1037615196217867,1.204406587815298,1.128419374635836,1.000518720745064,1.1774561315829972,1.2030506158273575,0.9696263496045501,1.1230024594971904,1.3013976645824816,1.2054442169836481,1.095274242862135,1.217333771706187,1.102718313348395,1.0972421479765149,1.0293100683863154,1.0291273847707902,1.0310695670336805,0.9512264041729057,0.9366063446504976,0.9522801221150841,0.9308518365601519,0.8475197491366594,0.9066439947862215,1.0268285830263217,0.8955234805179115,0.909236735156598,1.0022112113124961,1.1591764777169913,1.019900285225948,1.0076484958159517,1.1299730872525504,1.1685044807344938,1.407951172329803,1.0762965384292986,0.9058302284741762,0.8841599571327554,1.1136279117209693,1.1128835949087548,1.1649427730636297,1.1536286671800275,0.9611392543680757,0.8695798441669432,0.7777935735552219,0.7703314329670325,0.8501360346526093,0.8051116485445525,0.811718618310557,1.264418167180683,0.7666676885273049,0.7873246927132147,0.8476031168349695,0.9555807856487673,0.713974715361246,0.8678668983369701,0.8396634836554602,1.6114769690703348,2.7722445144140595,3.4555182694838087],[1.1929400898431077,1.0209936157650048,1.0285307960200887,0.72234356646312,0.7608214145211818,0.7139730941723096,0.6539783052559545,0.7170427890071375,0.625783502858802,0.5931583768260309,0.5819058486950115,0.6908034474250863,0.5936919404292705,0.5574401226916027,0.6528278144061394,0.6327878145279129,0.636188647304804,0.665589603992531,0.678395974638251,0.658788376413227,0.7477345568208206,0.7317714965391451,0.852690637871537,0.9915432659943836,0.9389851157136441,0.796042691194297,0.6144650140424552,0.5859973464766548,0.6308021606272436,0.6857484699473795,0.7545350258192332,0.7300149041695057,0.8283020515580066,0.8330123488478298,0.7461641069989272,0.680374656734222,0.6995922897089525,0.6399239257462983,0.6161444384876053,0.635395485361163,0.685166005506686,0.6830290430987159,0.7014383380029282,0.727659246900848,0.9041143087474154,1.2890279976223866,1.1513326685843968,0.8059168546369908,1.3191123639062985,1.3091286832124611,0.8415158843894244,2.404452449323477,1.1581285141321724,0.9572942212863215,1.6078372941931691,1.0425434385085819,1.207821026115623,0.9730746046462609,1.076879196968017,1.3848074688696297,1.0587585469441017,1.2362610376440033,1.441775601500088,1.1860847252627675,0.7852551562226225,0.8020007763153697,0.9513587669151804,0.8055414631595188,0.9783582734841273,0.8029440425416259,1.0248561822608508,1.352565450624663,0.9589313173754148,1.1140335125884568,0.844273489451583,1.4332811488660016,0.8039064842837256,0.8150196977275804,0.7631164257347447,0.7877256182048692,0.7516113802682751,0.7802474722960634,1.200704093466551,0.81745874097676,0.7115135111054705,0.7083309736478792,0.7088861273958266,0.7914783738933308,0.6973466669853832,0.8572857321931895,0.8172892596223904,0.9212810281826422,0.8803660757441991,0.8339047154970074,0.7698984318071287,0.8612842739840791,0.8163633336545105,0.7753474003907866,0.794030369363929,1.042267661115577,0.8345005771814974,0.9080023147809793,0.7968420566833813,0.8838846004484248,0.8760927999443889,0.8431317936037346,1.1000065283330143,0.850011799093615,0.8548095413316441,0.985403311897761,0.7963156180527518,0.6851131005884967,0.6603593471124524,0.6445413468084412,0.5922269364664738,0.5587096369014914,0.5763765204088517,0.5564928599520408,0.6567913935184201,0.722445162142035,0.6330350862651796,0.6052232676425053,0.5322368645627235,0.5538910694385918,0.5954214704111593,0.6263063908536896,0.7004158301097472,0.6628067579561765,0.7312032341085847,0.7550781943095829,0.7586048575363554,0.8548861319603086,0.7253299844389072,0.8205256786637418,0.7057088322211217,0.7257980249692764,0.8576116350499847,0.6412119603656019,0.6039198774160424,0.5795231199964481,0.6546729409657824,0.6578441373451528,0.6006485880145928,0.578866313853577,0.5658801178496686,0.5953655546130399,0.5736266020295627,0.6208546095844738,0.6553274568796221,0.6974830275473078,0.7695815572334694,0.7748825913179391,0.9849922976115935,1.492959825870277,1.0405858877440104,0.8619629338579401,0.769232043664712,0.8124791333805755,0.7429696258686174,0.7792661913155451,0.6471627582614835,0.6546304805583836,0.586732708290371,0.5910848250428796,0.6046231926298046,0.8039288005098189,0.6744546945495581,0.8022706530346012,0.861906423036008,0.8229248056355096,0.7089358335280429,0.6402114553220378,0.6467543964355952,0.6442430681731017,0.6510187536552912,0.7348247983738464,0.7344727614444101,0.9532785408643343,0.7119604335573071,0.7968119368369854,0.6471030175760832,0.7444589074660434,0.7349872449192415,0.7216099273389157,0.6975318519620471,0.8754209311644755,0.8672533561003125,0.9104391856286123,1.051219004535094,1.0937165592981983,1.208335820979371,1.0452829559132668,0.8558267552416587,0.8175168781831355,0.779224068629918,0.8203597634622943,0.8509939829246962,0.8689388249842069,0.8721633718419431,0.9215270730773827,0.9595216818924478,0.9999593102637615,0.9130290117477742,0.9301544207932017,1.0266943437896314,1.0019047585022356,0.9628802485493033,1.0083847584803352,1.1125472266396979,1.0182949029448571,1.0503621164201016,1.1422552463083147,1.1380811735017846,1.135285479558692,1.1990274237804508,1.130784463951711,1.2978183003688017,1.1580146277148864,1.1117390595730412,1.188596842269712,1.2320481708543354,2.3738458588448346,1.5550679836171883,1.8387993396570466,1.1765151804804859,1.221428593699069,1.2279805091698284,1.1917881527729584,1.1966853472413088,1.0815376239844712,1.16020484955539,1.12202913680942,1.2594393827551438,1.0655211561145983,1.148117205909257,1.1768398739337707,1.1054509158576438,1.0967464290979607,0.947822930699763,0.9743559940546639,1.0621193429465272,1.2074525143337917,1.26728149067259,1.351608523339799,1.316701362559065,1.2437204466474223,1.255882668085017,1.3940548556551595,1.269652059161041,1.1464746798422576,1.3046952288232547,1.3122308156497986,1.1597791797233112,1.2977854820875985,1.4618013781781456,1.3825252413439562,1.3107557543373916,1.3954873379409038,1.3053412063119938,1.2847585832278432,1.205428117229826,1.2190825043252724,1.2297547224880743,1.1207809146808965,1.116441260674619,1.1172608490886988,1.0950934522735185,1.0082296535267077,1.0568559763972447,1.1497018635250034,1.036612983891264,1.0599844742082472,1.0850875003406977,1.3375344274830816,1.0999959342575563,1.1030063239593437,1.2255690451268229,1.2707713944380443,1.4771074256403618,1.1758518788941572,1.0507868450650233,1.0029358768569177,1.184257923741721,1.1601169768804147,1.1938944974830918,1.1540407248913847,1.0302152269199094,0.9422505947439793,0.8272952746918258,0.788033164678425,0.9709582724556076,0.9293984819862265,0.9884364231402839,1.6569412820138298,0.9013470596187902,0.9808653004331465,1.1016211171933394,1.0800330317492168,0.8598139361218072,1.169894924023039,1.1191907116598245,1.4998696801278486,2.523063514768278,3.293885667884051],[0.9474104531641917,0.7852203356854867,0.8514108440317649,0.6410694977826852,0.6591382329756313,0.6392794511662042,0.60596193940324,0.6352219051694016,0.6306399640558026,0.6826538045324078,0.6949377268172402,0.7475551734208984,0.7065299295000953,0.7301564902283268,0.8198988313343994,0.7848804808055506,0.8049900816283295,0.8477037136414446,0.907054149836233,0.8470575924096843,0.9597751948561779,0.930703171428267,1.0737140932422955,1.1642665762331592,1.1045024584740033,0.9972111737749998,0.8092453258599149,0.7785919586148263,0.8030508197335182,0.8009580997053352,0.926954486714054,0.8412380078850291,0.9506837608696038,0.9693463067674543,0.8839249946448996,0.8364887465147912,0.8048779992394212,0.7805636884837379,0.7708324036911156,0.7856533544016052,0.8451518778572269,0.8225648246081695,0.8246194357913659,0.8482247995031859,1.0125413245346255,1.3643581704005865,1.2590176025119524,0.9021279120680085,1.4562437916851352,1.4421200022949392,0.9958554904763143,2.57176558106227,1.315787347802266,1.128080797586466,1.65352164831894,1.0785806756504506,1.2062021058567807,1.0892218071730742,1.1942124289429161,1.3744106726772243,1.2219994703390815,1.432162521569812,1.6376617438538092,1.4011478437442708,0.9942146683262035,0.9918328142640214,1.1327404443987725,0.9893795932846581,1.1634140455903883,1.0237288633314403,1.2268158412744663,1.5275868806769028,1.18922881796514,1.3202964182910362,1.0469133595410427,1.6426364894470225,0.9950604871697311,1.0148935807125976,0.9346884950615334,0.967721005080765,0.9004489161464843,0.8352017528675327,1.2813767120991466,0.9124805076930633,0.793565295931122,0.7955123898612585,0.82634752394808,0.8990597287236511,0.8646966023995936,0.9872337667048502,0.991342536631161,1.1368867124579405,1.0672037876986902,1.0110330380501857,0.937804250936045,1.026263811692602,0.9660408020341194,0.8927045889987877,0.8679815479877453,1.1049810673853044,0.8905455657813033,0.8509487824154784,0.8099307614714388,0.8060814335198535,0.8171350742243275,0.7594847427481731,1.0112389623885905,0.7246254474313317,0.7281149434169029,0.8767714023725658,0.6756514995856175,0.6321996551775679,0.6338799036359746,0.698331334300563,0.7169276967040371,0.7176281197311838,0.7701726363534218,0.781996749643441,0.9012728436254238,0.9412905225453182,0.8591669342931214,0.8175604203672249,0.7388003273360563,0.7126564641637101,0.67706771139057,0.6565737821826894,0.6402445117404922,0.6468187762801173,0.6483300291923593,0.6952463684609641,0.6656244280272811,0.727795939316812,0.6719354642541268,0.7668195055197106,0.7231799031050854,0.8091846184837767,0.8682108641476368,0.7192751643228302,0.7418150235630098,0.7342338967706766,0.8384936303654785,0.822695581653469,0.8106418975261518,0.767239122768585,0.7397092897843924,0.7500546227872211,0.7190280434581329,0.7247919284681907,0.6812768881057332,0.6930511843746322,0.6763353707006955,0.6956094655474512,0.9307665696283158,1.4362186552304148,1.0276444950345076,0.8405093562924518,0.7743999364393428,0.7363915321429997,0.7754976226812822,0.7415568949897952,0.6804199775344993,0.7597410891292129,0.7085704174127582,0.7135949550781603,0.720841816446061,0.9483411213604513,0.7725929772421591,0.9007817805496073,0.9165054948745265,0.9149542312576856,0.7769862891437065,0.7403585860268438,0.7299439742404864,0.6907436914269522,0.6975285779079623,0.7428998664097314,0.7738655861001921,0.9604577824622055,0.7487769610215216,0.8284504639584424,0.6877892009774965,0.7095931770020748,0.6940958489819381,0.6959111880664742,0.7116597982282562,0.8870162853340321,0.9226368929961448,0.9721756832388788,1.1680043866633594,1.1233319802482673,1.273546572217611,1.1239018556338356,0.9224265121645834,0.8469779462581429,0.7386333537456037,0.7358696382315151,0.7894652768160019,0.7129971309076367,0.7005651420730699,0.7365707644126841,0.756233885982406,0.789461615353799,0.723753167137924,0.7313181312291648,0.8155705433525983,0.7885538005880377,0.8122015022544441,0.8009719294294718,0.8850958832197502,0.7892660824455491,0.8372786023667917,0.913007579932858,0.8888656978904238,0.9383547815238015,0.9912438506123966,0.9364005504616262,1.0803091594500474,0.9941372132965053,0.924444631648755,0.9844292365313774,1.0312389736904568,2.1207059474917145,1.4587686134032827,1.7987813107014312,1.0276833069978473,1.0985707602662416,1.0871219242888002,1.0537433483693526,1.041194477531686,0.8921987009945883,1.0391688244594421,0.9112116092576883,1.0575035097388008,0.8926155869749696,1.0593823828177547,0.9889918760410277,0.9400876945660152,0.96047712142304,0.7742915310660986,0.7765492379295872,0.8378883691722544,1.0046235012584288,1.1127057457429128,1.2797152050450613,1.1884367763971748,1.0680930414405039,1.0917672408305876,1.2157864880170117,1.10686932732335,0.9707016253373656,1.1553019800574016,1.1717651267629792,0.9462608695951837,1.1019141784701716,1.2797512739410328,1.172347120823666,1.09032812286078,1.205147371278186,1.095438317107344,1.0831643041359762,1.0155318948365413,1.0159086239421897,1.0192862482309675,0.9193499264416704,0.9119594195751229,0.9153143569751337,0.8926294708286566,0.8011909891872531,0.8668261385041911,0.9919452596264291,0.8575197238339283,0.8720647248505063,0.9357769014542742,1.1687646012152737,0.973621109135555,0.9682389275411024,1.1082806613272678,1.165645163203027,1.4125752466222672,1.0574323527218947,0.8804916285206631,0.8353306708015377,1.0562718822481376,1.0407996429891249,1.094451204898377,1.0428348984487092,0.8706251914628437,0.7707873573654855,0.673273221630307,0.6723869810169378,0.781365188404809,0.7381365473107981,0.7738106826031227,1.3673271547040904,0.716162669787919,0.7550179402227897,0.8401612763820916,0.9624201037635118,0.6482064627682571,0.8561040386273228,0.8450092214879056,1.5551565719653753,2.7116410862138247,3.5183178304669362],[1.3273939706823021,1.2564035050933697,1.3954144226655285,1.1786976858741764,1.2219837179021666,1.3000846690471686,1.2034985606493707,1.2445630071550635,1.1639923876997564,1.1057353128562337,1.1317642856905459,1.2127897222302608,1.1589162474254493,1.0877948620670619,1.1721786259643938,1.1753431639520426,1.1273256996983576,1.124439012672962,1.103575662403147,1.1128922545104731,1.1229820557750125,1.13530704381762,1.1971800781125057,1.295658428865227,1.3748065393954803,1.225574855255955,1.14136586776821,1.144336020914047,1.1431872845475335,1.1885460010505482,1.2221597339000962,1.2619852734354264,1.2662095271583562,1.2525298126876372,1.2194361539190135,1.1804574813995217,1.2284753616713335,1.1749558566796074,1.1587013147780019,1.2147044881686422,1.1848362910667725,1.12462904289741,1.0920456258760411,1.163464288507104,1.3216536465498518,1.8314407172693685,1.6151243858965039,1.1268764529503474,1.8060480576178324,2.0136738908520577,1.4294389229022568,2.8792477489916486,1.6225151808410385,1.607580515084879,1.9864619392514766,1.2302856269819638,1.2113379406425242,1.255437147953792,1.3234153048954185,1.2853283245372935,1.2929254488139537,1.5582306117767935,1.7490261394479345,1.5844639096927777,1.2003090462723869,1.218498259395178,1.2100886749285895,1.147707394870345,1.2781050250058401,1.1624984478536056,1.3512677001723972,1.6159814305893365,1.3201452032719536,1.402559323776834,1.212801405296462,1.7171328230273617,1.206771536245294,1.2216160754421592,1.1997384482868152,1.2456498003240106,1.2594699297724312,1.2439809972708828,1.6985446053347109,1.409105003635443,1.2490925070327479,1.2159577668436397,1.1759879751346651,1.2869794781233574,1.168508297677224,1.2381197750420077,1.1901009720918487,1.2423144798901273,1.2442309997091303,1.2410485246008982,1.2183249061156227,1.25893596058652,1.2208500438642202,1.2753010464429502,1.3254787938857364,1.5570747733081045,1.3924996485837091,1.4260533368942587,1.3441689095620866,1.3958831009279984,1.4089051336392826,1.3900868291052206,1.605325045327128,1.3940285778050021,1.4053592740547844,1.4833915809845337,1.3460836695003402,1.2679480104110983,1.203950267506579,1.1734448612766208,1.1269844407946055,1.0970586893515386,1.14121223332033,1.0636014601668193,1.0751645824236102,1.1451694489085398,1.0736956832483138,1.113190159527502,1.038772672047875,1.054065554485502,1.0979116000238962,1.1185683997450042,1.241262936378543,1.286929180243123,1.2804869480224026,1.3228424843320101,1.291771882483109,1.329424667944758,1.2991371034910904,1.3655023669747548,1.285142533877915,1.3481197835338554,1.3470169392229576,1.1791969614426907,1.1310664311055616,1.1068097178557132,1.127738036036741,1.1644305860533908,1.0994480171769978,1.1254877330179567,1.1468298430443034,1.1483510416832403,1.1299852140320814,1.187988812881563,1.2030418981951414,1.2234701181294503,1.2667289484495474,1.284362399596263,1.4849162370955393,1.7705268368113516,1.524575359136832,1.4026172459703339,1.3255235298990158,1.3108679599005018,1.2828146754742449,1.2722998746610594,1.2269064384834207,1.216777601087346,1.1562328213830981,1.1693459350848823,1.2132710494653693,1.3381710515482081,1.2618077048862153,1.3232534687159136,1.3467973155711066,1.3380018093614474,1.2557501963974416,1.2204356696991672,1.2430353363886149,1.237398397161591,1.230053027433855,1.2934662866279132,1.2457493971418176,1.4432071578475039,1.2672941214583608,1.3719429460080943,1.2637851726459755,1.3044596746950854,1.294530645472842,1.2755586784204,1.2618682234424907,1.276004758171374,1.2781055124270697,1.4002227529034361,1.5369234769891131,1.4702366260785298,1.5993529377312092,1.5369333106766099,1.396503578248959,1.3639491149765361,1.3222385390995466,1.3155994447006771,1.327650826226227,1.3069748016855316,1.3167937307651818,1.3530213863077933,1.3857218197848842,1.4172943463048002,1.3751712119704604,1.368635488558564,1.4422171728284559,1.4175804079024008,1.4157393717722697,1.4199304754214992,1.4976313943762707,1.3954300599815241,1.4162780575004765,1.474815024587107,1.4572604360200725,1.426793108458476,1.4780782784775819,1.4402545600219192,1.5010195122245378,1.4282174256602744,1.4564304866570064,1.499819107283794,1.529796433981727,2.296182121931266,1.8765454547102847,2.1578408317958586,1.62176152223991,1.6970088563726597,1.698326641695324,1.6618841993567455,1.6068033331657672,1.4913518843477618,1.6751190981994768,1.4389147324726392,1.4437011500712398,1.4623500219169256,1.7069838102994777,1.349611872942188,1.3588604116882472,1.5152553193971363,1.3976978256478279,1.3606420711134017,1.3846725953696184,1.5401559319886102,1.6461784288524892,1.8312969030132558,1.7465498307676652,1.6140472574085554,1.6691781521746123,1.7625526684139516,1.660314241444084,1.5980849198092686,1.7350171749028769,1.746567760025879,1.5544537073529667,1.6565243834756809,1.7748188647795538,1.678258900867233,1.6174829763435112,1.707368504477286,1.614176904177075,1.6334389348623584,1.5986822676762946,1.5926002355319338,1.5715044965432041,1.5325223197576396,1.500431825590651,1.5092089614643556,1.4768402224107025,1.4184809263407046,1.4524997052305242,1.5013522078736743,1.386316487508233,1.3566805106509467,1.5052210002271786,1.4830117249033588,1.4563918625192036,1.4305048313754427,1.4940266214762443,1.4627794340848448,1.7617578699381495,1.4329161194514917,1.3588455197142573,1.3440424373338595,1.4393539717330732,1.4437274061561114,1.4758202095723236,1.4902807032617882,1.4326967129064385,1.316935314431375,1.3094702442708008,1.2782868457591503,1.3348646043015677,1.407957856587168,1.4574216481568003,1.5684827129197438,1.3741805723197489,1.4171191005030124,1.4609721479265518,1.4759391646359015,1.3480824883580043,1.4426780812958746,1.4824992952465492,2.2148659101591317,3.282949684110137,3.9369703214559113],[1.1755817830218818,1.015441309133531,1.1070019200755539,0.8657359148903611,0.9282943036833744,0.8834545567434635,0.8321147810784502,0.8637399162968307,0.8573610201450046,0.8304431522082495,0.8416923300630994,0.9077336970829062,0.8591076865444248,0.8323734770665749,0.9576331059034676,0.9095427344953927,0.870040427566303,0.8914819621486505,0.9020952987349371,0.8535943821106015,0.9199631305087744,0.9193205962259368,0.9530345646731294,1.0930574563621185,1.0420553437893558,0.9440849166841824,0.8741018040101464,0.8605048020431121,0.8719203927795797,0.9076213305458501,1.0065048518268822,0.9867587031070644,1.0328829492425988,1.0308940592756997,0.9747789907115605,0.92442837736361,0.9265048370185096,0.8845144031940707,0.8592913563890259,0.8980714162300301,0.9200921283662828,0.8815621016431116,0.8569122925679804,0.9126890555492798,1.1311179426970344,1.5635797416830866,1.3393327512500786,0.9668056992583441,1.5547238691298046,1.6288545825298826,1.0359746718194818,2.6182200014901085,1.304328127446504,1.295625005061959,1.7795002867524867,1.1178134503614083,1.2182885612803196,1.081928626319746,1.1766560057493074,1.3112853057750202,1.159258486333835,1.386875559872006,1.572260309292117,1.3946252573759197,0.9940087390907543,0.9744164990730305,1.04077479471561,0.9494052177289968,1.0764094641690578,0.9714286206582436,1.1368293190449852,1.5569317640455493,1.1622767663532172,1.2353598149427667,1.0594104171442777,1.6182200038000483,1.0142852805513514,1.031827139698917,0.9797885708737364,1.0150111351492719,1.0022863445136247,0.9381302083200151,1.4566792014560568,1.0815629962544395,0.9214833311055419,0.9023252554223837,0.9081727694308086,1.0198116001583524,0.925996864879365,1.0419666443425852,1.0075786709773469,1.0934819806821523,1.0717206976868754,1.0503857391561195,1.0152469316160455,1.0902976398049258,1.0620666285632003,1.0018770526930185,1.013653449408823,1.2200981692639326,1.0569185061151345,1.0500703788642585,0.9917151134883258,1.01059910404864,1.043637044280932,0.9748761050874872,1.228777534717891,0.97284147274078,0.9760949814658243,1.137297684653415,0.9369694397907896,0.8726226334086625,0.8312920866545277,0.8298033502542665,0.8220596012279617,0.8049938794680683,0.8621740931786012,0.8107733026183177,0.9164632878911008,0.9534280363808184,0.8884086638530748,0.8583031791535917,0.804138302147335,0.7930559465537214,0.807602824174657,0.8137633533228107,0.8655687308699744,0.8688246656531615,0.895582911172059,0.9220819127443345,0.9175052679349335,0.9886975388175251,0.9006277193462042,0.9564958006799118,0.8607187266188644,0.9081165630785522,0.9557511930082406,0.823523245407605,0.8606638750463536,0.8026783504655597,0.8670079670727951,0.9107449906693249,0.8378716895702117,0.8501304137190397,0.8459344153963164,0.8394759660347093,0.8235032932697199,0.8434251522874968,0.834886911286719,0.8671075573601713,0.8756954655877374,0.8804817515236303,1.0593576418915922,1.4564314315290825,1.1382723360361446,1.0121003615952164,0.9642472749393809,0.9268708482507075,0.932578538386645,0.8858472626095896,0.8578140243203771,0.8703376044646062,0.8174351837585005,0.83399143031569,0.8267371455580766,0.9343947470048174,0.8908946250093555,0.9590925753735883,0.9679207716846596,0.9554122425394088,0.8548850238949329,0.8182946758891348,0.836424805584949,0.8693643252934766,0.8750934499623557,0.9315752822033498,0.9106825247978437,1.1247006951084757,0.9268992869834496,1.0497953521840155,0.8817308945388201,0.9132160146265439,0.8981300486750339,0.8813971084896617,0.8630996098505082,0.9108882937455655,0.8849409602852345,1.092470231727035,1.1567767913538074,1.0997732684778616,1.3055654791363005,1.1647811102272814,1.0437910151349572,0.9816495683362451,0.915355077024758,0.9589155587505406,0.986733076585726,0.9464891864131421,0.9857124381832573,1.011211384804584,1.0153361786392232,1.0175526281471332,0.9930027435099261,1.0184597675291223,1.0487581611704244,1.030840017269065,1.1097542689032225,1.0675028373618323,1.0945142999131896,1.0493822894581584,1.0890876560648095,1.122703963643042,1.1088479997972371,1.140002601671417,1.1957852664570432,1.200800370794219,1.18635909124165,1.1703397206590183,1.1315258792739296,1.1703364759988752,1.2264503974850651,2.3607673908395004,1.5632736649852466,1.8388009339869809,1.192031868547269,1.277043155577356,1.30136069138748,1.263858763819089,1.2129569845560138,1.127363178076448,1.3092725147643185,1.1057006456664376,1.1850733911469102,1.136986871627593,1.3650425179110603,1.0842935797674595,1.1096614434629153,1.1831800826398797,1.0572323508686856,0.9770029137360929,1.035610010759933,1.1828360285491204,1.2629245663807558,1.4751081899602783,1.329752227393656,1.2694394321051712,1.2726641934494278,1.3732714307813332,1.2924938635219745,1.1637675175085982,1.2823540121295756,1.294959560043083,1.1072347276333265,1.2366844804594221,1.3692838725847285,1.2574744888925538,1.222550383340118,1.3087148260787786,1.2354051930565961,1.243602340809849,1.189579905772787,1.1922766910916804,1.204708216808925,1.1311720649890011,1.1436502480300368,1.1424286804625887,1.1272798713652687,1.0723310399910486,1.1070360555042835,1.1613918279007063,1.092508852848135,1.0765852754726408,1.184434757150332,1.2707068237257853,1.1513273741131287,1.1705868761953024,1.2429896323161986,1.2954656483576021,1.5057947266679441,1.2115422229440669,1.1243252753739383,1.1085314506570971,1.3001213143484882,1.271190747903307,1.2957432669700506,1.2852271810134006,1.1474010366968372,1.0916050509821413,1.0006943320123107,0.9590404037019503,1.0278071461971885,0.9980768305939,1.009831491287164,1.3824985461268746,0.9589364748472469,1.0245587684168724,1.0703754172638242,1.1712636943206447,0.9367879220830891,1.0991992715669798,1.0906400660534201,1.6304518542205906,2.6731660911625363,3.489442256750306],[1.0073361069803652,0.754377171547718,0.821472720102915,0.5804297893443523,0.6287907588616493,0.5639203167803215,0.5069422267089384,0.5478264228930291,0.5526220849094746,0.5905942103398469,0.6337691345720516,0.676284728465837,0.6462787230610908,0.6772611355262386,0.8198134889145716,0.7660932048358949,0.7351889466465316,0.7825827829449445,0.8322569633440722,0.757607941842901,0.8778005919285812,0.8478307888109915,0.9384068621378192,1.03364432932833,0.9451089502700696,0.8563098927387576,0.7276254897843555,0.7028447148654132,0.7246011853337996,0.7515421325526414,0.8829036614648044,0.8339125755456419,0.9222189766115744,0.9471197402157587,0.8644222992519432,0.8028893945610903,0.7833418865950813,0.7421812922364076,0.6876698727375017,0.722376503489033,0.7929151331060891,0.7539347347585675,0.7452911604674657,0.7688980235802539,0.9493760551306905,1.3943473521356866,1.1775103946776304,0.8342706504479218,1.5175095288639264,1.4850202223327695,0.9077437260589659,2.649627963973383,1.3428837283318986,1.163110714024269,1.5323051840704327,1.0111497906531104,1.159534629246563,1.0005934139426818,1.1450921277043777,1.318189967338166,1.2373528572081953,1.4944886933748718,1.68995840004081,1.4498296399765225,0.9743492106530095,0.9549944357458419,1.0706634594332856,0.9252222798996712,1.1321483113115245,0.9731390563757779,1.1878609204787083,1.639975373998461,1.1776472485453626,1.2978875414482867,1.0227659983224988,1.6084439650464633,0.9770344536389833,0.9886126805605812,0.9136522620347034,0.9360506075310404,0.8833323347538162,0.8232297869553742,1.30354774484383,0.8599948560975144,0.7131408913221114,0.719304832754552,0.7672117896435561,0.9234320697726993,0.8274224631852485,0.9581799858945328,0.9532588187992267,1.0587643338250456,1.0186334659501706,0.9748915802397033,0.9052457564171232,1.0009671371998574,0.9713476222140718,0.8688229611666689,0.8265011287933537,0.9949045057802915,0.8477239840887103,0.8035202128192357,0.7587313222068357,0.7661556899412972,0.7991382007470378,0.6804268420053791,1.013106984381479,0.6404714482773624,0.6463877135555396,0.8352531338379924,0.5932408973698903,0.5384551090976059,0.5121552480940897,0.5379755897639146,0.5981963988720949,0.6062763334369295,0.7003167376504588,0.6918916080195656,0.853335834238738,0.8709697762012825,0.8076157076303274,0.7497152666190464,0.6608859731918869,0.5992054700675536,0.5510478493141677,0.5382949876394832,0.5324833648357369,0.552936993024449,0.5463416956421601,0.5883619969798981,0.5893136680983888,0.6940344039433693,0.5714864895065216,0.6838982493980327,0.5581686874362592,0.6058082085517651,0.720253329248937,0.5499256248620844,0.6293941544567508,0.5627985091476316,0.7031508637476401,0.7027775574044711,0.6825513762326973,0.65960322312306,0.6413102239525069,0.6468683700005782,0.6011156052936033,0.6206730342158765,0.5739067320013354,0.5998844603416401,0.5993254800494617,0.5986191898262391,0.8629101515820456,1.4032484884106458,0.9118597907866505,0.7774372597596607,0.7020361596879591,0.676478109601914,0.706244616513931,0.651634644047985,0.5691124358748693,0.6568088645183965,0.5861635816242167,0.6009923159579933,0.5890959286055424,0.7448402884603382,0.6214380522111778,0.7071723356602906,0.7287614088253056,0.7270624406291878,0.589742578454988,0.5588603727807699,0.5771341538965762,0.5908231366080913,0.6074298653651365,0.6926696498839259,0.7135985371643815,0.9787307743759716,0.699168558082079,0.8182711138314017,0.6106240171779757,0.6240068235961655,0.6140961229697759,0.600829639681064,0.5808277888154616,0.7531752567863013,0.7239778200815004,0.8402574312073786,1.0873636909794786,0.8619893482017384,1.1439911868899209,1.0541736671526092,0.809044355722711,0.7000457587267866,0.6096298971313777,0.6425288279533462,0.6980926063277584,0.6316834578930718,0.660774454461298,0.715612379097618,0.7145776093157892,0.7384526787485345,0.6727163605733654,0.7108237636298621,0.7663713462909655,0.7410548648420886,0.7831216895773924,0.7711359700666071,0.8362646623180355,0.7634614287228717,0.8205429900011764,0.8881804762345163,0.8677662291879851,0.9107027721698648,0.9760140226090029,0.9510416166739061,0.9968840998194014,0.9367716915513944,0.8966169771848886,0.9340142284511319,0.9869335060190167,2.3560584285359636,1.303325553150705,1.6674878718940667,0.9318067552648572,1.0540409157615211,1.0636169028264373,1.047778495060891,0.9824572284060386,0.8493619983122155,1.046296173796439,0.8787086526491494,0.9924336656057139,0.8678648333819127,1.1351683584052856,0.8235393526317881,0.8266606533359798,0.9308004437805927,0.744128151553993,0.7255343297634144,0.8201534512646135,0.9828970565056091,1.0905751230938936,1.27600584048265,1.1680847552136862,1.0505141910293614,1.0636884507950677,1.2181861409482873,1.0712148830441133,0.9175667896011642,1.0708076883829303,1.0692070336391168,0.8686182187861756,1.0271088589068809,1.1792714722584672,1.0411355741299508,1.018285442095801,1.1330166136088977,1.0354105870047106,1.0363121196606935,0.9553463281223118,0.9718964319806017,0.9909537913159249,0.8728338079626096,0.880599696704182,0.8798360757652606,0.867362688193553,0.7802325660953401,0.8251457377539837,0.927787637285371,0.8336461402825629,0.8002372976488568,0.8991082062019422,1.0645306703393915,0.915850673237213,0.9529656829618791,1.0287731429735536,1.1127435993904575,1.306677111289636,0.9953333349652822,0.8675522840587637,0.8265293048019087,1.0683160085612395,1.0414825752444006,1.0750947509722217,1.089356193807706,0.862003694659239,0.8034751706599726,0.6723461271774229,0.6343760297567412,0.7200798230209051,0.6779880679856888,0.7263196637480145,1.3866774670900583,0.6428758903836072,0.7286909865791567,0.831260697766345,0.9448718570263736,0.6463183961286659,0.8742403974083713,0.9386440301976534,1.4769869607655466,2.5970587901121487,3.536647032843444],[1.0606370896585982,0.7521980459492065,0.7443339574437234,0.47663785961953675,0.5260771837293526,0.46307699916676537,0.3867405284624446,0.46301917739846754,0.4424338503074767,0.4820840464507984,0.5428302700218477,0.6140952484270499,0.5664861728378432,0.5676855755792974,0.7586956695881297,0.7104041398945902,0.6764762571625311,0.7438614142081259,0.7929996981227196,0.732500403628343,0.8831478467639645,0.8388727223063606,0.9687417459510262,1.0476407668108374,0.8561498775282517,0.7913438145124659,0.6579184612206349,0.6308019307170155,0.6708377253681433,0.6878155026706505,0.8584181044881841,0.8007525858286247,0.9261257636820613,0.9432982781381252,0.8546804399125322,0.7830369999339326,0.7426859683135774,0.6892504190138907,0.6360247739660261,0.6813815056440311,0.7412072311269974,0.7077380181233328,0.7167452860308424,0.7228035526730106,0.8889546476168357,1.2940295824576378,1.1195771132352765,0.7999289439896219,1.4629467805711354,1.3671094005068447,0.848613824039603,2.6353430809171763,1.3613979025354443,1.152496447835436,1.4730105586279327,1.0039441719897797,1.144695846335258,0.9926760093015736,1.1593293935836495,1.3230131623984627,1.2694540043791505,1.5137281256170603,1.727594277319358,1.4444255440004186,0.9592650543095214,0.9405421425610878,1.0819916872957998,0.934553614604966,1.1114321450733617,0.9497746857288559,1.1686235263608054,1.628134784520397,1.1677465366185018,1.2994598679204343,1.0158726186580913,1.6364873344424409,0.9869594819085554,1.0063804366639892,0.9186119899596193,0.9415456914521306,0.868176287306889,0.7945642398529603,1.3093736340881785,0.8165232687362047,0.6567011139358446,0.6678609168898896,0.7302080437205496,0.8977617819093486,0.8173576942201481,0.967006909597735,0.9616220320909521,1.0801017826178045,1.0401412943652526,0.979635130723718,0.8868254514519662,0.9876496580097076,0.9341401092818117,0.8390843013208685,0.76987417404325,0.9652871916840569,0.8031372159014917,0.7443341854556424,0.7098080468672683,0.6812103125600645,0.7094517330812729,0.6075652527599958,0.9271795361777724,0.55652095422311,0.5623428447518987,0.7694253979447345,0.5010826990060447,0.4427540460412737,0.42349911602344875,0.4472520298407393,0.5090351713467843,0.4857815387169549,0.6021272969650939,0.5735682157133514,0.7653281817302638,0.8126908936639213,0.6979715594276195,0.649994788165887,0.5104280985620158,0.4636885992290396,0.4275336180531877,0.4237040934833876,0.424833633346115,0.45683886588812755,0.43953348241777873,0.49487635637596566,0.48403489683172385,0.598037963212357,0.46166652461082697,0.6077112527929299,0.4783363183657691,0.5056976711599301,0.632330036500835,0.44131177625019086,0.5075804303326331,0.4544942202603255,0.6025913478800654,0.6098114117842109,0.5987345895067739,0.5595697375532771,0.5538106110647334,0.5818150326599424,0.5175478369028231,0.5564204049170494,0.5051030636967394,0.5172613903018098,0.5430209536902451,0.5540650519840352,0.8615852788250665,1.5050209412196254,0.9138431352026213,0.7374477807335525,0.6373960235096493,0.6065085314313391,0.6538710191654514,0.5950951264961045,0.4903882075707645,0.6082352387219576,0.5092740798786131,0.5240810462468225,0.5113878078538029,0.6475482478101359,0.5440692502707286,0.6330858091808294,0.6576449312732741,0.6686892422961843,0.5130498622010892,0.4603611992760601,0.4996472760867498,0.50257005312225,0.5445616711635132,0.6237995523572646,0.6620949692075812,0.9017719528678557,0.6276742865063993,0.7301296842419736,0.525010847620545,0.5441018295908475,0.5238582830537244,0.5153298544487428,0.5041126049434327,0.7294204882276594,0.7078524886856022,0.7933447281987228,1.085240138090127,0.8418380283713527,1.1321154216193214,1.0983050244940133,0.7673420064945149,0.6362623194524111,0.5263498685958748,0.5607906682191125,0.6436624507910509,0.5333893338061722,0.5533124850343358,0.6295140939658808,0.6200024932341902,0.6503907192389023,0.5716908358793673,0.6042515192241975,0.6661255591406031,0.6451803354212453,0.6942238812687686,0.6759475160320779,0.7384520930414675,0.6816013013913546,0.7459739219522662,0.8090502059157664,0.7934413445086471,0.8802381778581608,0.916728995242815,0.8785958029372638,0.9594099708047981,0.8839187625915613,0.8108795472885538,0.8538730407094888,0.8946601818757516,2.365961471986176,1.220057444461427,1.6530460080318798,0.8424720333503237,0.9649350463255278,0.9614024594881739,0.9524030422131642,0.8685238991679789,0.7254421134026183,0.9583906524767787,0.802582469552852,0.9059230532752878,0.7603210675272105,1.0571102157672223,0.7568439371028687,0.7537075297548563,0.841818696789565,0.6440296269654956,0.6615125785493746,0.7536178862398109,0.9127356558517725,1.0201971864510886,1.17642990098002,1.1047629706834794,0.9613786469910137,0.9675112402612955,1.159805406711906,0.9811862659624646,0.8168149062842447,0.97336246786458,0.9743907908238048,0.7869082625568756,0.9281704195985241,1.0961527036117096,0.9838695443270267,0.9402159552288121,1.0548674604847577,0.9429128407543953,0.9274325822838847,0.8442646398006911,0.8584168738745193,0.8872683717048561,0.7681364661346494,0.765668445839335,0.7679910811113034,0.7682393208927146,0.6701099680112331,0.7163232335569055,0.8346894901246048,0.7474851219841183,0.7268663121179856,0.792628198827244,1.0033115596159141,0.8443759831334985,0.8867034137105597,0.9843275686308608,1.102348250343664,1.2310353793724136,0.9516093603429959,0.8044342835908764,0.7530392641643633,1.0102627885880846,0.9650220335268159,1.0074652790410095,0.9962244487807256,0.7629424361291115,0.7050175083872604,0.5571926275585536,0.5191356654598877,0.6367078279727243,0.5897248164867638,0.6513505208609917,1.4301373209857435,0.5700920093637093,0.6470780715175802,0.7755307087953396,0.9104959161663836,0.5800758409013752,0.8177472185474499,0.9152935098075665,1.4280599678027932,2.509353770712235,3.4996497668759594],[1.1873293057474203,0.8997265598975032,0.914548704520678,0.5929267864293093,0.6372154745287106,0.5824913535762619,0.5410428279913945,0.6447811403833548,0.5694299155389483,0.5932254574147195,0.6655240896705207,0.7520559906737788,0.7038974083451078,0.6742918949661891,0.8699989057324604,0.8492912216109524,0.7876967023456148,0.8762154433009173,0.9003871107138258,0.8693033979439279,1.0080692038952084,0.9740433707765737,1.0557873982826733,1.122685103217932,0.9024522405637351,0.8560314856131054,0.7545314935526165,0.7182201345917871,0.8060029734316526,0.8600538999240576,1.0039260065404372,0.9422138983628315,1.0834525917602456,1.1297340725018934,1.0267812409214097,0.9340532123649552,0.9233339537958433,0.8462369737973904,0.7864023331460175,0.8278746505305408,0.8552123452970704,0.8338224111300171,0.8759919705146297,0.8583460773303742,0.976542090593963,1.2977075935174256,1.1190805203105272,0.9582861042387228,1.5436671685466314,1.3916983689560545,0.9935511485818903,2.66615335261725,1.4435254258569028,1.185749615104101,1.5533194372507235,1.1660664214571632,1.35112561938746,1.130114035617658,1.2677146394232441,1.4476696962228166,1.367671221472581,1.6224814677752892,1.7851163649656627,1.5091552646699284,1.0668427272030487,1.069245411014194,1.2076385450683351,1.0995056529065863,1.1854482484056366,1.0609010772449248,1.26097658921883,1.734327787364783,1.274777490762513,1.3433583359076955,1.1311996261220625,1.5993964816044544,1.1020045093021338,1.1556374670335827,1.0657942626155343,1.0481485959305314,1.0457684631993545,0.9895393739785943,1.3868236203552535,0.9593092679823264,0.8350556779020665,0.8715134003342523,0.9272611320795677,1.0954673828653383,0.9784859171221288,1.131712102052609,1.1182069086735582,1.209243592350193,1.182421502213425,1.139124570177379,1.0461274507928324,1.1550334678544314,1.0947621331816078,1.0123729495824314,0.9346108018071609,1.097453587042711,0.9824446635372851,0.9770605016547277,0.9186277856400791,0.8921503116889029,0.906623437621686,0.7957012697566013,1.1211652336329325,0.7656553115845947,0.7638511117394188,0.9303749167258485,0.6910704208911418,0.6199901899630638,0.5958107598793689,0.5874636800114522,0.6188505749452762,0.594291830463475,0.663883562569311,0.626223904870967,0.82303249044463,0.8324885969614334,0.750207192054992,0.6865143804636809,0.5828162859141359,0.5768306769182074,0.5423039334910176,0.5529001287712413,0.5716388667081637,0.5785105791943175,0.6149825504742417,0.6672399162586244,0.6533027618603804,0.7782202499510805,0.6552810607969353,0.7848658855307684,0.6512372202498582,0.6367745436845803,0.7568539326483139,0.5811775017268666,0.6063399398303296,0.5761840454138594,0.6523284215284156,0.6725192332379093,0.6808374662006936,0.641292516890275,0.6587539809984352,0.7060362452455035,0.6416838023550121,0.7030826337006292,0.6699058405940517,0.6863912911552843,0.7427578634741939,0.7506043203385977,1.0652666244386593,1.5343383596791211,1.0017986943824273,0.928327668716566,0.822414928364154,0.8220221589679906,0.8311747854764736,0.8019409868980917,0.6560727924481259,0.75596594755079,0.6531204315670193,0.6977350953975497,0.6519517754498875,0.706743167803432,0.662609516780572,0.7219421020269313,0.7515429043884301,0.7537358705078939,0.6446312716533312,0.6028917675168167,0.6695530589794326,0.6932158916201515,0.7235185182064586,0.8095169715426923,0.8486243482653982,1.1108864071775117,0.8287490889771763,0.932299519343691,0.7279522712335402,0.755960117276221,0.749539061636279,0.7390515409626263,0.7038508621453946,0.9280489682506122,0.8879116221262828,0.9861229621668947,1.1223140870954198,1.0094177266887607,1.1802771313179339,1.1157117302163315,0.8564302005339253,0.7845424684808199,0.6698251735364997,0.7318052862251834,0.8245753430838897,0.7390885225537975,0.7410832334046278,0.8074686436925723,0.8399568462286174,0.8793145791404399,0.7735008004402715,0.7991882511802999,0.8986047774746388,0.8530126749695994,0.8520890565990477,0.8670239681691154,0.9556729461472631,0.8679549922181683,0.8977900145935683,0.9805937086324854,0.9566591279542704,1.0390947820227658,1.0532699528676657,1.0014574835507788,1.074421633283767,0.990412791378644,0.9529526487126043,1.0088702443848685,1.0543287033974875,2.5650918607368145,1.3849762131504824,1.7913144610462084,1.079760510770251,1.2046289264087284,1.174389787607261,1.1827052767683832,1.0665550794956695,0.9510580253599696,1.1530904886528008,1.028137941253454,1.1054514690633455,0.9848681906937153,1.291026089777165,0.9248854710180934,0.9016722593688141,0.9235025630934142,0.8116219392959427,0.8722436816966344,0.9875102913584117,1.1497589072687526,1.2591754027150386,1.4037292226780187,1.3553685208927075,1.1937049168156604,1.2204278944594373,1.3969249083698825,1.2057006876524883,1.0560361476653746,1.2003933459301845,1.187487816691635,1.005181390807926,1.1441955902573944,1.3035158385017427,1.1524682087452671,1.1154839222296087,1.220170842366638,1.1209447191153668,1.1482994831578581,1.0969674931140045,1.1202322408939824,1.0847259607815658,0.9812201948802539,0.9963863285530771,0.9880156541614583,0.9468985833510186,0.8694014772960031,0.9310570078782544,1.0033204806899056,0.8973457843022703,0.8861448283698726,0.9736622911863341,1.129700605311223,0.943902360198764,0.9873155561896723,1.0579538862805766,1.1591081059961224,1.2693362183774768,1.0345783649721374,0.9244659476985617,0.8931752975304406,1.133447216736934,1.0615725464152137,1.0767936449705655,1.0686848270746185,0.9015019168533558,0.8432714150268591,0.7288916412740355,0.6717354647161602,0.798129928406642,0.7900808607020681,0.8711797228643485,1.5627654958042543,0.7685983246426901,0.8527800393325132,0.9663566477122925,1.0380172869924,0.7579595352784908,0.9841607453599693,1.033319071263988,1.413381520009884,2.438801253099141,3.5395879698201376],[1.1351220956555486,0.8711270538742379,0.9085769673438306,0.6027468957648657,0.6565496182288258,0.5476996515582085,0.4955099115726655,0.5702854974347368,0.48736008917881085,0.48151617055447526,0.5368433640249494,0.6320815752865088,0.553223631047426,0.52527576999181,0.7118037140597003,0.6788063911174766,0.6125745827833458,0.6793636142438385,0.7059948533853353,0.6604408585118076,0.7578655981772626,0.730332272323554,0.8143558799911007,0.8987375098048541,0.8441336831583564,0.7488506619297831,0.6054525837249753,0.5816283011356943,0.6331044415993765,0.6816498151543084,0.7992059189888892,0.7706896929365141,0.8510323624067546,0.8939928552160238,0.7932738676814158,0.7165195416799969,0.7247867749911269,0.6595035350783703,0.6149688863228208,0.6642222390690179,0.689044419239464,0.6678571015539839,0.6467208293512723,0.719767411772353,0.8823293644988632,1.3019044862898639,1.0693001170157506,0.7928284552614364,1.443314870241041,1.408259296312223,0.8875121472589728,2.5695599427806632,1.2870011394221545,1.0725166015153644,1.5776882676995745,1.0311954311165297,1.2012134973362811,0.9712612930850602,1.0979886066181734,1.2703359960230782,1.0890218222923502,1.400632741983846,1.5586608579199808,1.2777920911189193,0.8564420378088714,0.8453327875670654,0.9655111458419415,0.8394782662243203,0.9807870417277235,0.851346851086317,1.078868239339018,1.5503231015808157,1.0981434849561653,1.147948814785557,0.9150007684842645,1.4908060794543145,0.880348966901914,0.9090910239167369,0.8360079189910664,0.8693051979499563,0.8292373860283264,0.7942985882023124,1.244453860770801,0.8628598746298116,0.6791084328352119,0.6911010376339042,0.7137513064024587,0.8825224807945841,0.7452929973223983,0.8869082173501086,0.885056536896432,0.9775846465331326,0.9517304046059046,0.921580629827643,0.838506799795361,0.9368546170371664,0.8749164773742416,0.8450987258629037,0.8381785588901054,1.0165343532038387,0.8577176228063533,0.8656287827812467,0.7898064742098975,0.8255424523706152,0.8518837078030336,0.7359271797625249,1.0465881807458857,0.6976514254508629,0.7057879879500957,0.8629610957585828,0.640677933632919,0.5473477679138277,0.527503701960736,0.5298042947337596,0.4972890862068499,0.5056191007941198,0.5592357063671917,0.51990452851382,0.6596197450467021,0.6824564534582529,0.6050556608736041,0.5605564810069628,0.4834037831835506,0.49963084294815496,0.4848220673925546,0.5133424538294802,0.5579810423009673,0.5342480658480017,0.5691812375054741,0.6118103449891207,0.6294784509272154,0.7441667739116754,0.6167082482404298,0.7053236396349912,0.5830319816978825,0.5934832735978968,0.7716616464713157,0.5627093674269191,0.5777295122683095,0.5107723706597918,0.6074381724060786,0.6019732563220905,0.5506333709186513,0.5377731948813844,0.5372648726390374,0.5619960693454932,0.5086658747110555,0.568318707819188,0.5784796892617547,0.6085390486704407,0.642243030319124,0.6303157220928471,0.8413943503301364,1.299395962549294,0.8845174039559963,0.7949909144564004,0.7201185099655615,0.7168003145073062,0.69289100904405,0.696312904999988,0.575196304869646,0.6105493106099557,0.5313529334043181,0.5680544124639867,0.5435171944733147,0.7047642234599901,0.6399528315432063,0.7527697091375478,0.7911969952258171,0.7906039172310644,0.6467448158423091,0.55691759920013,0.5756323340804212,0.5634422771973041,0.5934445684551523,0.7055627840955095,0.711813268630806,1.02287596130944,0.7158894731706392,0.8240812084596124,0.6068963398815264,0.6461404443546074,0.643490794847553,0.6369881577083988,0.613079360201985,0.8301577893592662,0.7866192466663432,0.9255728486770689,1.0653765932507913,1.022196927870743,1.164676186778604,0.9981612144615808,0.7342185474911956,0.7143525553029687,0.6439017739501242,0.7035752726790211,0.7767432626039197,0.7012892053216372,0.7102770544322041,0.751785103437356,0.773365003335278,0.7804330373068444,0.7227613223869489,0.7563743229083998,0.81292506918353,0.7778865301600609,0.8097371037172391,0.8144253415201723,0.8640105127324972,0.8113233219836494,0.8596719731100225,0.9178601447164288,0.8910573791224683,0.9848264742888535,1.0055577539229956,0.9783188853156124,1.0247279190342333,0.9804886402109098,0.9109921509042672,0.9758032106341376,1.0236200437507887,2.4729073943960382,1.348427046072229,1.7309690388394485,0.9793018748237942,1.0911373867347351,1.1044447501336105,1.109433910179196,1.0281387369091999,0.902987272029563,1.1000371323478202,0.9419099597180497,1.0379018188948559,0.9186549037980603,1.180237498136769,0.9337823192365347,0.930531608702731,0.9372438201850223,0.7942111188263696,0.8011950267917609,0.9011720911176484,1.0525203399118364,1.1340097830587386,1.2860485413245593,1.2037364380422313,1.1018719236727739,1.1173756163364574,1.2809382010622377,1.1073106594920497,0.9492871138824768,1.0942578409393007,1.0849511813065549,0.896383457293843,1.0455225492926221,1.1882405858740892,1.0389947238361916,1.0310947440506046,1.1382379776486735,1.0494470002868201,1.058072800262699,0.9854936028391468,1.0101579831300966,1.0138089290638357,0.9050998065555117,0.9171619404439195,0.9217260859724175,0.9072353794071387,0.8350856651645133,0.8963681941995756,0.9545789285275862,0.8913911782030803,0.8785320788096388,0.9447427194162354,1.1419729774296783,0.9505891541021261,0.9992797508768957,1.093589733122632,1.1723332611699495,1.307198210713518,1.0621340395344552,0.9091651231327776,0.8781979677286612,1.1366787012170234,1.0759808042489476,1.091558402463191,1.0798775775217235,0.8741433161757313,0.8341301512140594,0.7109068739592045,0.6677714601109801,0.7813445018478399,0.7282987484546941,0.7693844658654806,1.4061897815921844,0.7042686282827989,0.784603208423182,0.878217454681906,0.9379076355678955,0.6950982060282224,0.8921763472572559,0.9215195120197772,1.4073597709254628,2.563376141905912,3.5592931268515757],[1.0356448059738534,0.7514356029972813,0.7542526922890486,0.480582182624432,0.5461007774578504,0.4711282953595904,0.4091671144502218,0.4785468782181482,0.43796476866569534,0.44629580435027977,0.4861387471256218,0.5677659765167905,0.49668412107390075,0.48550813866344206,0.6602122987799031,0.603519579842325,0.5785987199785558,0.6344175467687617,0.6564999256809985,0.6041145236585058,0.7083933942019077,0.6807271768276713,0.7882635739531564,0.8595993049799442,0.8243253853220596,0.7097320645036287,0.5565714017080334,0.5434435797058641,0.5769503319025016,0.6137397743200197,0.7237232288147905,0.6882180334967948,0.7676435011066254,0.7791958903087093,0.6957645030606334,0.6488705109342257,0.6448946854933968,0.5941636128074856,0.5538706050887061,0.605311119879198,0.6508401418445569,0.6107348381578382,0.6053173099511056,0.6620714256525744,0.8520462583952815,1.2949927996706743,1.0697193035373744,0.7394149142639959,1.4050780012275539,1.3670065993824445,0.8226149680940439,2.5601831044831913,1.2533115950535763,1.048561594980967,1.5367208847900453,0.9799774557738495,1.1323283237969797,0.9167468211138224,1.0588051067644524,1.2619623498973411,1.0852241514621481,1.3499498039334374,1.5333456306356774,1.2334205643521767,0.7992924124417198,0.7742356794735541,0.9263885522751147,0.7790448753430973,0.9571791666826565,0.7978187827181573,1.0276773482712955,1.473154963218022,1.0322586472603077,1.093031005084952,0.8576448044924077,1.4336152675782252,0.8121569890282363,0.8169304180607984,0.7594920917986655,0.8015874315269249,0.732996633028289,0.6935077434649108,1.2357725644806863,0.7934048762054707,0.5932779076996011,0.6068097999575016,0.6344932486184457,0.7888218617762376,0.6745980761943504,0.7928068558848324,0.798901163754922,0.8827983740146652,0.868304626219028,0.8213498927819911,0.7513613395764098,0.8442652341287373,0.8188998695398667,0.7369783192684727,0.7069588328073215,0.9185862651284846,0.7352263929229536,0.7368503371336177,0.6744714884243259,0.6853688195314233,0.709507659136248,0.6140358546689728,0.9596543820471005,0.5783865150257239,0.5968006745694465,0.8015336298572716,0.5316359994453052,0.4634024618131669,0.43987565784279015,0.4440138268608771,0.4531035856195895,0.4514587532158497,0.5191303223647786,0.488307810172333,0.6443166758766838,0.6714386088099151,0.586790503618782,0.5390523243017902,0.4439435337886915,0.43727063730396015,0.4128551444875376,0.43203072728488434,0.4540464161043383,0.46476973515256786,0.4675673202733066,0.52466988885168,0.52734988700764,0.6458233017657411,0.5031334975273897,0.6256009640041219,0.5044736578702829,0.530636877999789,0.6612437546288068,0.46515773093806667,0.5158613122325794,0.4358319325231495,0.5481726270663875,0.5491689525678386,0.5128818296830702,0.506566009633235,0.4962085968773474,0.5268415633939191,0.4660016618585501,0.5081416828241873,0.4897841951330876,0.5248823691967843,0.5370490425153279,0.5317677215978698,0.8206932562235704,1.4236685613935876,0.8412973438639805,0.6991413481641596,0.6138362351075527,0.6025661916025884,0.6066391159270126,0.5946862868484083,0.4837025778288305,0.5598562293704025,0.4718659179466072,0.4910420353996527,0.47445449580385196,0.6592346175049311,0.5557749512953077,0.6494609799900339,0.6876293180929778,0.6839512021668509,0.5427372299120119,0.4770080937853067,0.49624894802429226,0.47864101927852226,0.5193070273271926,0.6017595638487866,0.6277167069016379,0.8862297217411989,0.6158592167296513,0.7254642350693526,0.5143498054098817,0.5458702953069043,0.5342168536103084,0.5250476872531026,0.5055322051501168,0.7350373325490553,0.7061783510546453,0.8296397152020676,1.0090061138891542,0.9289744840130391,1.1134365277628642,1.026028586294572,0.7563200721071581,0.6772086657336505,0.550216213788304,0.5984028878481247,0.6901878774044276,0.5782653054978956,0.5848852144996746,0.6481077986856079,0.6488785793556903,0.6828435505062833,0.6041396665897634,0.6250420427552262,0.6923192368509904,0.6630358337413448,0.7005888782835384,0.6724613767127713,0.7522365258703821,0.681299180769914,0.7162186463200141,0.7883007648105461,0.778507642076685,0.8492513404894978,0.8589412197627173,0.8253811905055669,0.8977417501528684,0.8404620148379843,0.7736249992210608,0.8075525261145391,0.879817906353986,2.3820063654078716,1.2725214456994387,1.700277951800781,0.8672039847242953,0.9768770214242081,0.974063955464845,0.9654801808999215,0.8732969208989565,0.7475458420498815,0.9946842008690534,0.8231281491556454,0.9238396906185938,0.7979990282162341,1.092369707718463,0.781689752765527,0.7703804624010882,0.8494639357622571,0.6664054460382348,0.6782913681971837,0.7827654922392752,0.9284271894759226,1.037420336406259,1.2115670052037497,1.1272517024521622,0.992071180194438,0.9996454427998748,1.1998291018490832,1.0146427205439583,0.8455734243565552,1.0016522260444534,1.0083542425657421,0.8030198091781738,0.9476315857755819,1.1214888795624567,0.9979548187147145,0.9364055547573658,1.0409908712831253,0.9408760378825064,0.9403843965391799,0.8705134250178183,0.8828308889061434,0.8801546377952452,0.7706781655328752,0.7969864852264456,0.7668725644354681,0.7512404123692656,0.6739383979037963,0.7302453257577102,0.8090787878930832,0.7384739590432854,0.7265667292589004,0.7788170114652446,0.9867054390333475,0.8164543172445637,0.8606707650491204,0.9392121236955926,1.0394331805253396,1.1832535068172851,0.8978637709525853,0.7739058907162432,0.728416882815318,0.9835257847849549,0.9331184378668441,0.9599619722940039,0.9704517739026745,0.7451959016601336,0.7177141982635395,0.59371795919928,0.5529942595911735,0.6575384069133168,0.6326139074414391,0.6929148321348979,1.4574500967985318,0.605363871634626,0.6772611112636014,0.8046465037429618,0.9293490063628871,0.6079765215972194,0.8211037208372169,0.905145489124751,1.4286314588043298,2.4833792868485625,3.461977245186466],[1.2568443626828687,0.9375213342275643,0.9053735607025256,0.6059494178284802,0.6706403664795356,0.6426591262754099,0.577722006723105,0.6503473399836976,0.6014811870222103,0.6025443873134915,0.6596929151386203,0.7066838178650272,0.677529371270902,0.6640336500262998,0.8253971975379616,0.7846667494424266,0.7371813223084238,0.80652099220497,0.8146654627790145,0.7991130370411493,0.8719661750811236,0.828990479257373,0.9179826185709973,0.9473828974433626,0.885812605940187,0.819966364027385,0.7420317265485937,0.7081084911257728,0.7465946862306565,0.7632770708275189,0.8926681044847407,0.8475156479142357,0.9217150093743273,0.9391102105764513,0.8519843774095825,0.8214535290844962,0.8060912073989106,0.7645049112882006,0.7195996289863273,0.7527709975616178,0.8186849043208597,0.8029463250518496,0.8000738358244004,0.8118714550721112,0.9952491467332887,1.3357046692132932,1.0776693355223155,0.8280213791787377,1.4549540857210208,1.4175591383747974,0.919722524272318,2.5757314962968176,1.3249725064367388,1.1710472044086389,1.68403079352146,1.1562158227465527,1.2789603957035487,1.06727165093396,1.2146034418606633,1.3117042244091617,1.1241065238540624,1.4438584370309937,1.5885058464606507,1.3368219850152676,0.9190858620503584,0.9091920917319124,1.0367159430097816,0.9389966836629152,1.0376555566099448,0.9272330141697052,1.1418229044871988,1.5812120745937048,1.150944079131544,1.1461236755682989,0.9751078705882755,1.467054683608778,0.9517558381656707,0.9579707657823191,0.9128979330608408,0.9513138648378082,0.9133907069911034,0.8987838261761195,1.348078775917188,0.9412933147881624,0.7499482771399008,0.7953567705154062,0.8388547367390125,0.9470341073519588,0.8427335961743461,0.9238527612856154,0.9357944521696111,1.0516229783762605,1.0307991987190457,0.9757597756730001,0.9121847099838997,1.0020323612580442,0.9611597952081744,0.8977180640975643,0.8545156949794567,1.0333318246859615,0.8831192787893769,0.8880945685688955,0.8353269502825303,0.8206807356803785,0.863704020549506,0.8140005091972419,1.0799401315559154,0.7785668631983247,0.7842126705786422,0.9293290566636077,0.7177297105065452,0.6472140012871789,0.6226034305765591,0.6300302371813081,0.6307375700071658,0.6215292108851115,0.7012845696292923,0.6611596951795908,0.7686249764649136,0.8053132534742692,0.7484111763251216,0.7069366545226166,0.6220107982882686,0.6103542932147349,0.5823584184730314,0.58311868098408,0.6463885405347808,0.6640119003381614,0.6635164698540531,0.7085724614426393,0.7107929733363277,0.8274110747668957,0.7005905038599936,0.8156788745561633,0.6719349564686106,0.6521136852582265,0.7519894184387694,0.6215867612079465,0.6415579431881133,0.6014513711987023,0.6832600071198579,0.70211622438157,0.6922934754889057,0.648674146454732,0.6695820802938647,0.6701046082147933,0.6364596347131639,0.6558557731102692,0.6589946687233211,0.6712693155672962,0.6966721486133485,0.6962113642842103,0.9376270383105543,1.4240456533040118,0.9156487426316151,0.8274482462567826,0.7678242673262619,0.7444925791370685,0.7450596637069786,0.7432330706032823,0.6409407446521943,0.7241585200092043,0.6558870775244433,0.6779151751324864,0.6686203320714141,0.7480879117031036,0.6673647592062458,0.6834684193440091,0.7213805501361187,0.7234049458112322,0.6275307593978796,0.626202516348442,0.6427565693865752,0.6538370021333235,0.687807396267354,0.7399669511204559,0.752160065355218,1.0085857712506643,0.7553581914033811,0.8890043437809729,0.6812601453317862,0.7210056570293671,0.7200650442052178,0.7078294320142471,0.6869615923182545,0.923262770645573,0.871876663019193,1.0136402028632063,1.1458614651932693,0.9794945190307024,1.1870718051423652,1.231891206685655,0.8983593435913607,0.8043320362345487,0.7071978957224646,0.737020988847078,0.8294097465642779,0.7437555202490919,0.7515887890817698,0.8172532294432074,0.8456049246290536,0.8770096086248176,0.7864783410619052,0.8119891793079391,0.9082011192563388,0.8663496779133917,0.8634160004997952,0.8924349489201657,0.9757482824579018,0.8938112664191491,0.9294083169510488,1.007924622533284,0.996268250228345,1.0786302987373018,1.070659039966053,1.0167430168864644,1.1023879192535797,1.0129360247471493,0.9665414044674888,1.0137779327972165,1.0873712798353656,2.7255278013611615,1.4221283998201906,1.787432737986169,1.0987228226348629,1.2160177212171452,1.1904274337289684,1.2115175169074959,1.0848435504019247,0.9530457996223317,1.1863343755048574,1.0295719524554738,1.046218779979025,0.9618741287948173,1.326675990839516,0.857685230939982,0.8912690438732989,0.934179624737284,0.8184921408099062,0.8430978581096068,0.9755165402555592,1.1073275839226335,1.224342608728711,1.3874862919959785,1.2952612366725496,1.1646368895120571,1.2057135302879254,1.3695634108939971,1.1754069659576134,1.0455379755920817,1.1731335498364872,1.1624196918728258,1.0175889383095067,1.1420166271734478,1.2917549887252286,1.1747476927097296,1.1397573503605694,1.2368378123571298,1.146407672030527,1.1429431365344358,1.088453169768847,1.1017819595195557,1.0985291281558849,0.989731805215146,1.0102181013152993,0.9887077712260585,0.9637789574992792,0.8820770540732829,0.9406343113128915,0.9756509712352548,0.9103121020502638,0.8843584280521662,0.9504511723010458,1.0969645119403335,0.9540531883379331,0.999936795164358,1.0431171635965324,1.1622663132826851,1.2613416930645382,1.0182728819476425,0.9374665694621912,0.9041785715252948,1.096802261743082,1.0033252349072899,1.0145868812664074,1.0090284429118996,0.8431347012135633,0.8448307390650966,0.7461438643888447,0.7091151133805019,0.7939569751794806,0.8217313577660791,0.9041291958023852,1.5466477192542736,0.7908584347063812,0.8946443192789006,1.0107688425982742,1.0765364867689162,0.8008138993854208,1.022585938967297,1.094806042690667,1.357495907479935,2.29007428597212,3.3767322266331243],[1.101702638006885,0.7159709265705487,0.6287654083763498,0.40165159425023345,0.4638867964071682,0.4601030889952928,0.3712401310089985,0.4316549836334098,0.40127806228843305,0.42066414009392317,0.49136659864321147,0.5361521611114246,0.5029590198657945,0.5179928990158909,0.7062828297357578,0.6528878232134004,0.6045228094666774,0.6820193086954512,0.7269041884431353,0.6712967994254035,0.7578055016732315,0.7260495499541031,0.8385624220702322,0.9056021143533735,0.8525838496598398,0.7754041932472469,0.6391642575852927,0.5943380400347077,0.6165828163788012,0.6321258464346005,0.7580588415169539,0.7088548112234324,0.763096349089482,0.7958631107234091,0.7188047127765471,0.6844160915162409,0.6607544670005135,0.6344378161075226,0.5811179443278828,0.6247388640018001,0.6969046821139174,0.6844308457562049,0.6591947005653064,0.7035000678368315,0.8754970694506587,1.2848737669319132,1.0425225343262972,0.7611300564957728,1.4973899614908261,1.4327465578342031,0.890977383277608,2.6423326160558642,1.3476650181910983,1.1699458787596382,1.5565746093223856,0.9638713568448204,1.1152361092342082,0.9429326031501521,1.0792263839955714,1.213988090839728,1.0856862202263229,1.3617067259821383,1.5359625566935262,1.2494453378144788,0.8340008137296898,0.8128835116917,0.9550536074489837,0.8239005863318737,0.9416459963318706,0.8288052144583488,1.060510037170694,1.508108934441273,1.0613595368968078,1.0886796165302763,0.8715775455520302,1.4204437434980486,0.8443506092295864,0.8213670910709311,0.759976194081672,0.8034916937040272,0.7588965167710926,0.7295012273538614,1.225116696384241,0.7926904406528302,0.6202964036423683,0.6189810617211395,0.6689467118578085,0.7948648798016176,0.6983492047600082,0.7974612365010337,0.8141916306026349,0.9027077972156095,0.8769267493197572,0.8233963730727646,0.7773657337246554,0.862740867711427,0.8340737945809249,0.7499169478030542,0.7029455624769466,0.8706129379944842,0.7060578698097149,0.6652408933695655,0.6395098887695339,0.5986888186126709,0.6351474675180089,0.5764744310129185,0.843688436962618,0.5327368483261081,0.5458030579421993,0.7476965438736686,0.4737700473890915,0.430375661845043,0.4199913112960044,0.45260766201981006,0.47724642273262063,0.4936064853231606,0.5773498981618609,0.5375215003802547,0.6744062769331339,0.7083875925638469,0.6379816980243563,0.5996581348355143,0.5034050254744408,0.4991224297767644,0.4209570709973283,0.42170088734530115,0.43800158906370656,0.47767719744580134,0.42787323460599136,0.4824544257600145,0.4432277150246668,0.55417426658246,0.46549732261680127,0.5966837501821198,0.4843752929268103,0.4979425368529129,0.677485759267557,0.476379755535804,0.5209401806699251,0.46637369766632564,0.5831259378095162,0.5845872524504618,0.5726659439715165,0.5350077966164771,0.5389727889940644,0.5517556978725089,0.49428293727785383,0.5119687829726224,0.49715078909217436,0.49414298985363037,0.48941363131060794,0.48379070035290905,0.7689334645437206,1.5590082104874994,0.8114634232630022,0.6238981101082417,0.5592127116737343,0.5288712984138447,0.5807984029015547,0.5670612613739355,0.48967634662643356,0.5690984250404941,0.5020947430085273,0.536548222053085,0.5332639730624442,0.6900740314383843,0.5479976970782391,0.6232876649871851,0.6506676557890686,0.677289183860651,0.5274058199801755,0.4862281152314159,0.5062900654158189,0.4981957956102354,0.5194501164863282,0.5756415434937616,0.6169012220707455,0.8617678554084721,0.6035458965447953,0.7228246005816862,0.5130561888301581,0.5141681372992317,0.5089219373481643,0.5077368105674199,0.5227344551293185,0.762412340601865,0.7281199400072433,0.8744651191687767,1.093188425936159,0.8673051510444405,1.0972763811645518,1.1442490257463005,0.7816160952180343,0.67144502493684,0.5068121445693395,0.5262850234429638,0.615666729133476,0.46287443448622073,0.47221141007827544,0.5272021427536573,0.5136769414849244,0.5535340699596236,0.4777229488217307,0.5015845740183049,0.5829787133529923,0.5562530333561898,0.6413328899306311,0.5827847068086902,0.6559923229381672,0.5989074942203507,0.654753441385472,0.711800641771619,0.7143699910020799,0.864989018384239,0.8160188017694413,0.780711595085089,0.8372655424467993,0.7839386897054618,0.6896269622846547,0.7302580949977816,0.777723706292121,2.498654668652565,1.1381017402160272,1.681739052706522,0.8237557152515989,0.9191149252464086,0.9005514772603075,0.9453810170192422,0.7843280306066692,0.6206167929815656,0.8840266471949789,0.7448292811048822,0.810289673009613,0.6629511050832234,1.0845233103379148,0.6281563725042688,0.6693179535168886,0.7958480857302903,0.5223228314955073,0.5871074285359115,0.6920034680846407,0.8464319787028035,0.9762705061810131,1.1377977780459514,1.0704939906152113,0.8945392558640533,0.8999072121089875,1.107862354074772,0.9153908648622323,0.7451285370520065,0.9125339974134671,0.9210385594912073,0.7322555543264704,0.8460491869244054,1.0185207901311648,0.931272649344718,0.8635363378383216,0.9466932490073812,0.8465525810118721,0.8268381793420199,0.7626809177324848,0.7751337070565392,0.7676380521227024,0.6777285860051215,0.6888701339544008,0.6631996791109165,0.6581100097538503,0.5692179175870684,0.6267588058215068,0.7075457083889427,0.6351941208739236,0.6110149059340111,0.6844762635923807,0.8546722614102267,0.7312640034987395,0.772108663127595,0.8360926272117337,1.0130099991344463,1.0630688792760064,0.820835438426983,0.7118447333238817,0.652015420066924,0.892094278684014,0.7956110908767412,0.8234876980765165,0.8513884748703177,0.6255890921803782,0.5893672978809715,0.4796207218151084,0.4513180067179474,0.5220796155852708,0.5218123295380367,0.6104573116090889,1.401515844427174,0.5143294986646696,0.5882673757162631,0.7190345328064667,0.9254012489438656,0.55186487444887,0.7583910013906641,0.9612177946784923,1.3583976836767184,2.317811363706559,3.4227878301906136],[1.1010785741046911,0.7145641992741952,0.6431985516122648,0.48827962384378554,0.5833537050577009,0.5581909079187353,0.50311226700549,0.5735697786252238,0.5583758292337453,0.5738671664453913,0.6464483083656716,0.7084612819477263,0.6770066280001996,0.6580456201082009,0.8782418146743081,0.8399722163029059,0.7504353739129557,0.8519767024331941,0.8785429574581304,0.8430402190437003,0.9325503243236454,0.89765618562714,0.9618783241852494,0.9697969197649285,0.9005213512699973,0.8480737089631584,0.7757949343934468,0.733578112327986,0.7989645062939748,0.8145367848328168,0.9415553631356186,0.9281105014141146,0.946853025038632,1.0073286456302861,0.945510705319771,0.8813512858016215,0.8547999095263517,0.8184819509062037,0.7613819236519476,0.8013564790505447,0.8292133698723833,0.8389527291043604,0.814925181172261,0.8365902858672218,0.9832394974090206,1.3223190043733295,1.0634721729839658,0.9050701446012729,1.568265189387392,1.506967044623688,1.0333830825399997,2.677537301719749,1.429880334676799,1.232210600779242,1.6694973144149001,1.1634789816125897,1.300875494173122,1.1026757143511514,1.2207130947426112,1.3504975751909567,1.1976019023573081,1.4785016515332459,1.6005234247033524,1.3032376685861746,0.9980821192072921,0.968862969819472,1.1240983982578623,1.0300979377785544,1.0548075140487463,0.9924651720797297,1.1611211293912265,1.599408031420571,1.236770127660561,1.2076870652103964,1.0331599254179127,1.4322840265932688,1.0160806123656867,1.0226731773724125,0.9604320156126396,0.988821729289193,0.9443950747651059,0.9023039806065577,1.3630787328933662,0.989902891921298,0.7805411815528701,0.791381993795419,0.8566405293512097,0.9673357021110611,0.9034463834203541,1.0134560424775956,1.0205227442101417,1.0500550442669592,1.0723848894033225,1.0347796524198014,0.9814292504250157,1.0704866903200423,1.0492692890537572,0.9680588517857851,0.9314663889593194,1.0697605661426082,0.9152867434420886,0.8468442599535485,0.8366983819974104,0.7732340747317296,0.8324977092322787,0.7249107043722076,0.9673908115739371,0.6608049458029315,0.6553855428074989,0.846577259280226,0.6012337171225662,0.5875273894022323,0.5735028168320723,0.6247749324411673,0.6296293379810441,0.6265729900597334,0.7048264661622361,0.6354070623637531,0.764455302486762,0.7889481207171268,0.6931994153417962,0.6741585241426614,0.6100630018033725,0.615750816175691,0.5496325742923763,0.5586163270445499,0.5674961881806998,0.6005818560375785,0.5744256976797079,0.6399561191512498,0.5931821845963258,0.7003227485933962,0.6393082104885214,0.7672517605230076,0.6451665505746745,0.6314690787080748,0.7771381496205396,0.628458293318321,0.6448285982886792,0.6014107178028173,0.6625978817762916,0.7035748835062448,0.7012224835531763,0.6615469410628347,0.699784843941391,0.7192678589695874,0.660229587083542,0.6996951820248625,0.6712615812588244,0.6596978910202871,0.6381194613982497,0.646409186969058,0.9040107743563373,1.612868185023161,0.9194139341452199,0.803303738289848,0.7560764367093974,0.7103083200294374,0.7776904761736344,0.7183383926034294,0.6630909083104978,0.753348544597836,0.6605724471793235,0.7138400488449158,0.6910082642973376,0.7620089057144452,0.6880608190464392,0.721959685987391,0.7528416321493647,0.7717496439618,0.6718737454769756,0.6510455864813263,0.6786411503138899,0.6642989752842526,0.7171382467053506,0.7751039104690742,0.8042445180771931,1.0571161691085005,0.8020077583817284,0.9042558948125106,0.702576650622253,0.6876727328428053,0.6803419862780329,0.6659363101692781,0.647998534680808,0.8823684230964883,0.853182327459249,1.025054809095579,1.1508572851759158,0.9720760016416162,1.1266344361007485,1.18905284392604,0.8699924945114919,0.8002510622462315,0.6567879055846457,0.6855741910236742,0.7869776462848868,0.608506775408723,0.5981163958265492,0.6255693711473913,0.6311895714300717,0.6678068321732642,0.5835908357610495,0.6091125259835317,0.6871420103792492,0.6592536374025064,0.719708515315834,0.6893183618153447,0.7551010075688324,0.701669841990943,0.7527998868304928,0.7944564799383302,0.8025358348447346,0.9909087644761433,0.9065884499797469,0.8744896163464628,0.9041394927499862,0.8597939499405377,0.782654165533947,0.8161932806805181,0.844220421809149,2.615504930946677,1.1603614485187008,1.7350488739889036,0.9223983856013489,1.0204042750622582,1.0009841128899635,1.07111733880533,0.8907758402910921,0.7361232980456722,0.9953779574728048,0.8750516773023966,0.8874152827151389,0.7793230715183077,1.2311119670931805,0.7026617601268843,0.736688878482961,0.8095943727938,0.6090167157197354,0.7276904136352035,0.8264324777327137,0.9706815426665085,1.102403749843341,1.2302760192292925,1.1726253393325679,1.002269719915743,0.9878227902202407,1.1822670553643713,1.0018919245618938,0.8363002588661946,0.9716017418187277,0.9638650462352778,0.8186835242379926,0.9109452959843424,1.0442158398879873,0.9857998383111475,0.9376471815520231,0.9982487300869863,0.9172014851549977,0.8954433942831983,0.8500120528387509,0.8630245054561102,0.8554678149427801,0.7703135705621607,0.7758135251016139,0.7515054224760941,0.7447258359615907,0.6657784514052505,0.722143025556619,0.750310582170062,0.7018008565692486,0.6885811788845273,0.7651292208828274,0.8486519800715631,0.7703001553478435,0.8027551746653895,0.8534831777673714,1.0156435207160834,1.0260951705775279,0.8514234252716217,0.7773052718963039,0.7218965963611863,0.91378690956588,0.8032592363958555,0.8070140499698667,0.8248310324434186,0.6612809253412086,0.653486091574008,0.5989526892057696,0.5581085186697328,0.5802327312658432,0.6178569583926322,0.7006717914826711,1.4053869556730907,0.6174334417438141,0.6784802025887756,0.7809765403312078,1.0027032533352094,0.6435923257122438,0.7985768425996108,1.057394089830871,1.2794016362172531,2.1901199403402023,3.3405342599489303],[1.1051014573779214,0.721849034153691,0.6297683380681839,0.5172285614350584,0.5920037923648968,0.5804427919295334,0.516911249294348,0.5468504557827536,0.5193930242985961,0.5074207495582814,0.550264760779635,0.5791093598211194,0.5656606915999384,0.5851498459725378,0.766598114183616,0.6964701278989913,0.6585135278269862,0.7476706001055615,0.7974043036443862,0.7397271606662017,0.8530450067795052,0.7849980321300253,0.9015137359864558,0.9386324749463495,0.8203228025657625,0.7895340936253005,0.6929569243900291,0.6477469637556649,0.6748762797762057,0.6719750748959386,0.7886455580800109,0.7225986776938471,0.7503026489993342,0.7973220473364983,0.73570578271251,0.7122985005545769,0.6903852862868904,0.6888630835931325,0.6483269299033717,0.6954032584034384,0.7523154565408792,0.7118840264158588,0.6752280457265265,0.7325705432904974,0.8858006169156453,1.262305042420949,1.0084687033428255,0.809288337988847,1.5521946538836602,1.4263484007021423,0.9179898173623966,2.7000668833779184,1.404347231994517,1.2307450684891132,1.5352038236631262,0.9935737240173539,1.1448461328189132,0.9621938728244126,1.0945740022463948,1.2165200723420024,1.1056875649643083,1.3859426545848799,1.5247178814575986,1.214848831862927,0.8721130438358434,0.8429111051528102,1.0295616206661444,0.9089951543893766,0.9881989549465894,0.9047804346848453,1.114571054562283,1.5655127142191367,1.157145056466536,1.120268363817369,0.9083599604426765,1.362980934437574,0.8562748347894396,0.830726034344454,0.7761838041337661,0.8189788567217576,0.7665274697798432,0.7447335689935681,1.2872079489190222,0.8616423701458185,0.6878104618965301,0.669139554585394,0.7070422621084046,0.8254832409636553,0.7330100797630797,0.8059786918012801,0.8331473181827855,0.8787002240588728,0.8932694784597566,0.8358111821267863,0.8047607259491053,0.8914845377188367,0.9089391595467698,0.7612177224211104,0.7096038089871671,0.8797253613116324,0.7144804687345463,0.6831723811312597,0.656339179028578,0.6588799631330571,0.700562974919596,0.6400517906658817,0.850578608206845,0.6444014489492337,0.6878390786783157,0.8265730649275279,0.6047982292044062,0.5531682414607308,0.5427861642782512,0.5596456662899294,0.5590532535474445,0.5735623032980942,0.6405330667602446,0.604094467383225,0.7130314368501613,0.7355577131199941,0.6586975934888986,0.6299167222489597,0.5834284200657429,0.5910062097508713,0.5325044519879761,0.5302698869662327,0.5674453116551048,0.6172923740783635,0.5713797728375637,0.5905595751030794,0.5679618196689588,0.6534690695512634,0.5818362854484026,0.7011024516192892,0.6084972233213538,0.5906780617712394,0.7633906174255651,0.5950197140726102,0.653586554044473,0.5695736711099236,0.662900519992423,0.6567776810686929,0.6403418893617839,0.6139085660574186,0.6203563857060436,0.6216076968851691,0.5776442463203199,0.6037188054010209,0.5924122454738747,0.589127789587566,0.5915506831748532,0.5969269792453954,0.8721836172813355,1.7944416794983629,0.9157396296420651,0.6712147355369983,0.5995141796098975,0.5802626951955956,0.6423713600031511,0.6506210313769367,0.5796527623973169,0.6424721074915677,0.5835230170586254,0.6163612216313562,0.6138013535345018,0.7169764274492918,0.6404781290763065,0.6837725490246012,0.6994862518725861,0.7330827890384431,0.6306208071568286,0.5918754865087451,0.6127111627595576,0.601231492548195,0.6119010594575376,0.6496648801952472,0.6685065336198056,0.9008340447540447,0.658366647561404,0.7690119361387362,0.5992521583193192,0.6073434771787959,0.6083464810048403,0.6042759034281943,0.6049776906284344,0.7941926146175554,0.7510978679013077,0.9306571232226585,1.1246819392928877,0.8483643047257505,1.1088284892531157,1.2353559019157365,0.841149207452771,0.7434657603502387,0.6287458641613207,0.6619838979959962,0.7565029920319163,0.5990393954064036,0.6099904683193689,0.6294920299476364,0.6416102904528433,0.6836530193719595,0.613735409300487,0.6358326378200944,0.7096716012571658,0.6904631798258242,0.766965909067429,0.7054110383936099,0.7569389706611923,0.7215387075499159,0.7516640741810982,0.7925500199800928,0.8132077012378108,0.9596646091243574,0.8663791590055244,0.8559673550840968,0.8772589981460387,0.8478647086855904,0.7654521362558269,0.8015142397457022,0.8252564604966831,2.5988959829356,1.112295747555752,1.675102022601597,0.9026582208560726,0.9961251053323756,0.9692149870716184,1.0343379192309354,0.8501828567840509,0.7136476768641141,0.9818552750054262,0.888221640357441,0.8730542262387989,0.7662010074204848,1.2373182400711116,0.6714741620384852,0.7082647375291257,0.8531170605341848,0.6338904919965943,0.6926264678389191,0.8102951025737114,0.916717539457533,1.0509203443867305,1.1723627355604225,1.1315485096546112,0.9594380355064445,0.9604304783449287,1.1599993888249849,0.9653282617754162,0.8309099220254236,0.9648572338864102,0.9701219620342965,0.8353989426456041,0.9029010634313921,1.0291545036380632,1.0140133698416518,0.9339500775764096,0.99072101577364,0.8981682854989691,0.8749394072618488,0.8263030278981982,0.8400769605140932,0.8387128151265757,0.7646968481846298,0.7784083170666255,0.7403325365313294,0.7457293494195428,0.686966898254413,0.72956144237501,0.7732457802287241,0.7335641228998315,0.7066414605374958,0.8062825880828982,0.8603905624452027,0.8189786259120617,0.8200422663909694,0.8461997561160929,1.0344059280291453,0.9889688786463936,0.824793572506433,0.8005401154468187,0.7129634173316538,0.8987084886191306,0.7925351028659342,0.8132115539975393,0.8876868470546067,0.7015964795950791,0.6722316820078796,0.624031640259101,0.5821351705189528,0.6334035977240553,0.661505993835958,0.748829330686251,1.4664625312542727,0.6633227259414084,0.7260107068419482,0.817200069742037,1.041596680973122,0.7020526528880038,0.8236106170375864,1.1725547260940654,1.3948113965633553,2.1944120616461085,3.4788961617751544],[1.2389658077289345,0.8922126013543242,0.8052044277013788,0.7111390903908229,0.7493772150271472,0.7519538022930918,0.6975342539008464,0.7248829093339036,0.748953163599695,0.7675298722962149,0.8117877527359466,0.8122472811057234,0.8082191469062527,0.8376395297726527,1.0339638682796735,0.9730604171676303,0.9072505246400857,1.0145340939920573,1.0502016453145309,1.0168273365225253,1.1078873498690112,1.0508840147911351,1.1052588669089964,1.1192151292095254,1.0374712845077798,1.028121291444389,0.9434968433138116,0.9154825513521793,0.9431337206208368,0.9218753148116308,1.0599537546666151,1.0153835203755208,1.0229699117122764,1.081479423230238,1.016805767153271,1.0000947913791702,0.9411359365204037,0.9399679386477823,0.8942477026663088,0.8960543466295727,0.9643344992103587,1.0056758759013902,0.9607255215673492,0.9704357596018715,1.115166423709352,1.3704919504528665,1.1762332636472423,1.0434359988533644,1.6188175023650808,1.533221689427119,1.1154410056231845,2.7095451957410512,1.4873489042275394,1.3119516556813946,1.7001073529375212,1.2494696495272182,1.3915165147567692,1.1461830890773848,1.2740116520856173,1.4021366394003152,1.261532778468653,1.5623462991448736,1.6360984400413963,1.3960431364083772,1.1269601885631613,1.0919150544092087,1.2733374190745392,1.1724368020917173,1.1708546389092023,1.1519882551265148,1.2554902943155475,1.7192796466508105,1.3970642143706578,1.308096300335247,1.1536174184775776,1.4853180193148843,1.134699906861288,1.1103521609320208,1.0483822072680096,1.0702087295319935,0.9977319333312901,0.9492737470596683,1.3952425727060518,1.0420637036807625,0.8610057456219468,0.8689133828220236,0.9499986747956096,1.0406782561266243,1.0171574032739135,1.0907407821546928,1.126800961612796,1.1376220295761248,1.1801682781317222,1.1372265025482502,1.0998803440784575,1.1897873305037556,1.1692770798398997,1.0448972605804132,0.9785582979861805,1.0581523583210757,0.9227661389534377,0.800086982635101,0.8611741253169114,0.7746684596898111,0.8431717007930956,0.8027442057699018,0.979581064756982,0.7547897592357091,0.7603340441899069,0.8773566597792203,0.7204721311554638,0.7198662068268968,0.7310761103675764,0.7997439031574335,0.808906272922048,0.8359443859391562,0.9066924476340288,0.8702690747005768,0.9414508668440964,0.9761250628575677,0.8993314333279324,0.8930370682812783,0.8566979027429454,0.8293443333144127,0.7480047878156665,0.7421795138632695,0.7112644116971653,0.7611544433093443,0.7146716937221783,0.7608462151040695,0.7310450825274893,0.7908078906410111,0.7677592721193913,0.8461008316258084,0.7949667453575785,0.7900237359231664,0.9204259598307991,0.8480649562587991,0.8954768932053677,0.8303434198653705,0.8843918367657668,0.8992228879566785,0.8917300418349741,0.8621893987509376,0.8736966792963324,0.8723208288566863,0.835207555076335,0.8455180608607438,0.7951758938053523,0.7725763240574158,0.7268320924480748,0.7330859202627213,0.9350102610512198,1.7516570182981912,0.9270172892337107,0.7923648211197281,0.7857548323380718,0.7253367536561219,0.8460939342015793,0.7884650187514253,0.7852179024653286,0.8525200006284778,0.81800390406709,0.8526281321764677,0.8351805177831072,0.9092435484109831,0.8399756523669689,0.874583951092744,0.8850858765059009,0.9268545422788168,0.8314925818210489,0.8315568664475276,0.8191021661172807,0.7880167753516739,0.8136834029269913,0.8186358263553466,0.870608564804844,1.0512758235886903,0.8579231100540559,0.9506749461620683,0.7872036788400464,0.7719044320334845,0.7692284540600111,0.7665442165361376,0.765977791500655,0.967092082501624,0.9618042406039078,1.139146381825413,1.2728805210407599,1.0886091559659896,1.248117356976348,1.2998434671073718,0.9866418133836704,0.929801477439276,0.7934412122957986,0.7967404381962229,0.8956151031376202,0.732099653445796,0.7305136549035278,0.7288516316257754,0.7473336991106047,0.7786337313366555,0.7138545824825315,0.7482825370409664,0.8280771756812353,0.8141408349217101,0.8468615566246936,0.8299505455461307,0.888536427354465,0.8613089229032557,0.8963248853342791,0.9214901696172192,0.9497115955902116,1.1166815726117698,1.013272899872567,0.9805436200387971,1.0058610970542536,0.9728084755757377,0.896601867518265,0.9403037148583117,0.9392344942175502,2.7267060049816747,1.1861057882465063,1.7212051903180754,1.0059448283987,1.0953607179411486,1.0716608977565962,1.171874617383635,0.9720427468598912,0.8421473976509093,1.0821300094984727,0.981050331532629,0.9347094672513795,0.8669368692210877,1.348940837549132,0.7760825027911313,0.8040510106200336,0.9069278487449927,0.7254429143015415,0.7992804195479043,0.8936525410379687,1.0339322046344313,1.1545249947171476,1.2417154822351077,1.214372875631301,1.054316913577138,1.059357440472893,1.258658656825495,1.0578236855827652,0.9316367565062984,1.0458481077581485,1.0424464698322113,0.9402329235899586,1.0085872871017787,1.1284137606516231,1.1270748488088886,1.0581409058446187,1.1144110655769544,1.0262129738382348,1.0012719340207201,0.9449579978139635,0.9523370873700733,0.9686527474087891,0.8965675490395094,0.9078645594683097,0.8809473744789226,0.872398063390305,0.801636520610133,0.8413141287226639,0.8719561114905903,0.8357532759263382,0.8060361264213185,0.8931588392350602,0.9375451834869613,0.8976235000881075,0.9213653232620769,0.9519598703376727,1.1296357048116477,1.0936811422169903,0.9480431427165318,0.9364203869229525,0.8667794720268334,1.0079016084255792,0.8925435024696458,0.8913575969879481,0.9293190404642748,0.7719527617592252,0.7785544073391841,0.7341965543810179,0.7060578559163325,0.7227786678979194,0.7518957571219753,0.8347130856618602,1.4985098200975449,0.7773902301728787,0.8464828109770087,0.9260004315584401,1.1219283525898038,0.8421858931438768,0.9383585652942795,1.2212680859456764,1.3309746722942724,2.1003082808901206,3.3486923938251008],[1.4946814109150766,1.1599785230726005,1.0630453940244322,0.9031180015600236,0.9495432245467332,0.9566843920010897,0.901213775337445,0.9426636918184876,0.9447669165251116,1.0135801145626484,1.1107402091081744,1.1185719803982825,1.1402571985262702,1.1940839197553088,1.4673869109782398,1.3902622282925754,1.29287971494242,1.4592959242073589,1.506552422691516,1.4400474097032512,1.537398412717955,1.5055087912345602,1.548284045594778,1.4750175162069612,1.4675014216319642,1.4365943160145147,1.3441449441147586,1.3061453815346593,1.3436103998758766,1.3073045693513907,1.545730527091885,1.4066204088322178,1.4589121661649898,1.5589757519189966,1.4512716827343985,1.449981882663193,1.3251129952069365,1.341439342804072,1.2768264505351894,1.3034516993219736,1.359618664958726,1.4053066634066913,1.3589004386555896,1.3579614846975185,1.4684078592312166,1.7031008497113154,1.5244622249148314,1.4091153287353482,2.004492988605498,1.856808105102621,1.4541269396616345,3.016136782573426,1.9108256945552884,1.741546079761445,1.9098440808480948,1.5382645853916022,1.5880395036137225,1.5111410304933017,1.673831952769368,1.6147067410193692,1.6375690598080037,1.931751278580955,1.9999681977552948,1.8932207969417276,1.625001424470227,1.5721882472755826,1.7090903804451874,1.6238894591835578,1.6500495340030679,1.6426390895956866,1.7016656096720753,2.140978118309569,1.910980391612754,1.8467388973070011,1.7072206905783993,1.9728463209620992,1.6600166030160892,1.6298537468069065,1.5517513050308764,1.5405620481678945,1.4199836585991374,1.3337951219871766,1.6605337047715107,1.4091653787476546,1.205231455104943,1.2502760306161094,1.3722001085900932,1.4333692228865873,1.495368610983517,1.5600750216824595,1.6492143826694834,1.7290005768398462,1.757951820793886,1.6909791300097767,1.6083178634380317,1.761797501448921,1.6283501270343976,1.4662610184628246,1.3136752473614046,1.1992209727328533,1.2041977337976422,1.019839365766638,1.1273908544668436,0.9995338210562829,1.0354934716782975,0.9828596115664352,1.1761608650923794,0.9714775354571077,0.9661889625575238,1.077630719894148,0.9422946866367605,0.9493391235106772,0.9529164241968168,1.043373467611729,1.0822269824416983,1.1072543229950265,1.2379539848897432,1.2130906318556436,1.3873632958370867,1.3858858162375014,1.3085504221830615,1.2350418384273258,1.115696800359753,1.0771394947498671,0.9641237137459397,0.9765754424390334,0.9253988875427126,0.9703247639514248,0.9347637020402955,0.9903023906885868,0.9609309457160143,1.0282807188665684,0.9904031181938797,1.064877995213889,0.9970805129596662,0.9914561845859174,1.1107524130327853,1.0768756184559944,1.1380180805390738,1.0991735143540042,1.1969571035794873,1.2192587189445507,1.2452224061751236,1.1759331198062961,1.2341102840792348,1.2387883514277582,1.1517263320831939,1.1380572785602032,1.056004279318127,0.9997054379691508,0.938644361469099,0.9461602194875001,1.1425971449377923,1.8461406734809689,1.0412136078631755,1.0170407369249468,1.0589101917427761,0.9704265596765348,1.1196151972680233,1.0143855209323298,1.0495953398558973,1.186086221884722,1.1015945166527823,1.1549062028857429,1.1157754482233824,1.1686880753991324,1.0908124080377055,1.0980334679571198,1.0718961723313911,1.1065953163665636,1.046198131292737,1.0674903023429363,1.0834006225601536,1.06358941565579,1.1037525239966615,1.0966070601472335,1.1806919022727371,1.327133019104613,1.1762239688903375,1.1994309113744044,1.0798928317076348,1.0013760637750169,1.006739989549281,1.010971737536409,1.0015331166355108,1.1841047771020359,1.2060728046376397,1.3609308262694912,1.4751731621087392,1.2230139853293118,1.3880343880184955,1.4583028472223796,1.1749138167285624,1.1159352798210949,1.0295449007237394,1.0375506146915887,1.116223682501389,0.9908590037487542,0.9659924525028473,0.9679595034419407,1.0221582382229102,1.0574423718731243,0.9729239430657511,1.007539328181521,1.1269916067331667,1.1054054872790282,1.0728703984991124,1.1119916546864923,1.2127634186377918,1.14541618812372,1.1762957493712933,1.2391228853944891,1.2656375563684967,1.371364209718745,1.3098802347979177,1.2342997642502889,1.324819775094387,1.222719341878024,1.1726112514841858,1.256507724794787,1.260449729334505,3.0043515198335218,1.4916103450326028,1.9471080831449528,1.3298521176582438,1.3954528606682797,1.3504323819291764,1.467969821477087,1.2714132925254398,1.1486832064227195,1.3316519522772154,1.2745964512941474,1.2000470512054335,1.1328087482631148,1.552910242831068,1.0376638245340422,1.0574257205152429,1.076280421992008,0.977941282743928,1.079416298350046,1.155567889529702,1.311598512699176,1.41507073089696,1.5162620407865037,1.4727640531738473,1.3176572156468846,1.3653546073966278,1.5374332492750562,1.3298990188157622,1.2321689279526653,1.3695108538214749,1.3629964610283505,1.2698673746781175,1.3713071294710681,1.4972422806988392,1.473966814327248,1.400915099459949,1.4803786846630698,1.3739005536805131,1.3625411886880459,1.3030658171135447,1.3096511666807944,1.3214667512623923,1.2080982243052807,1.241336160693864,1.2076910051009067,1.1687908805856966,1.0855418100936938,1.133493762490887,1.1538444224302582,1.0981696843516442,1.05951152012185,1.1497478639590044,1.1326742648049504,1.1014022314258851,1.1210724011316524,1.1582161406959517,1.2889393230563,1.3078173004391056,1.1500351272820681,1.1582517069096445,1.0993064273142794,1.177600097216195,1.0657693492762181,1.0487005817071846,1.0568797395433454,0.9872642088592668,0.9618089967053299,0.9580533431991577,0.9311338443513285,0.961502701076374,0.9956655791556377,1.0972365971645743,1.664172557601941,1.0218797078794237,1.1229620400666975,1.2185782574878312,1.324121083314588,1.0928599249411282,1.2611756017270972,1.4626687349946712,1.4722538937152458,2.0937238719204267,3.2813906327119073],[1.1427073942570978,0.7654789886238836,0.6745049378523823,0.5474051517684827,0.6263011071720704,0.6170109688162704,0.5793720283058323,0.6128444975730646,0.6222402965546681,0.6592062160742183,0.7064088554231643,0.7091301440145775,0.7291308121342981,0.7575672575945402,0.9516823992814974,0.8757125777273175,0.8509257883315419,0.9423758834739884,1.0162640563216934,0.9353581548870809,1.0577812159695048,0.9951869413061097,1.1191483888384608,1.134972139958411,0.994666624181358,0.9886613403980979,0.8916858992558913,0.8544064284252106,0.8686553245677483,0.848191715705578,0.9757274791212083,0.8811104230746886,0.9195908602417624,0.991128477554067,0.9234263437425145,0.9094004080548655,0.8597146322087085,0.8777094064571035,0.8311793678985661,0.8740535230541008,0.9267289319778491,0.9020843865892127,0.8548074768324228,0.8976532642502573,1.0048165678087224,1.3234987601032784,1.125595310871192,0.9812127152890124,1.692591314200367,1.5152839442860913,1.0831039389464774,2.8412404235466195,1.621143914841275,1.4271821648948,1.5718482036548236,1.0806277050187536,1.188525258915109,1.097138522845025,1.2708830319595232,1.2584905577381582,1.3049545149098378,1.59337387626229,1.7144156982038699,1.4598824090668532,1.1046062582620364,1.0548466741778377,1.2343092958224573,1.09736435266139,1.1815653264857804,1.097083391260838,1.2813207727586762,1.7721577475784729,1.3752936405064657,1.3334283164644685,1.1281112221395604,1.5262703322999633,1.0685685463974435,1.043792522601631,0.9978327647294744,1.0296293354597825,0.9398448848949597,0.8857347997733144,1.3839144334573104,1.033087396233092,0.8215115655612619,0.8183762644214214,0.8837288080168607,0.9827367727191275,0.9405776791863136,1.0011945755949772,1.0518102225561468,1.110792330385888,1.1184465733649909,1.0539433264939333,1.0071492913429214,1.1152281523746113,1.076880026819402,0.9306768582924567,0.8333212648601112,0.9185176594600712,0.8228206186938806,0.7332867986333239,0.7572241290150206,0.7385275844581312,0.7793293741019851,0.7139133658845087,0.9438803426336122,0.7056676399589046,0.7262650298059169,0.8523493369511005,0.6621127676419191,0.6381551122829022,0.6278685166616371,0.6742057385036933,0.718599502680569,0.7305977640605525,0.8201334746514095,0.7958832266798845,0.9440659620243723,0.9344558543013034,0.8661928670303525,0.8176333297410013,0.7459257889274371,0.7368046716649221,0.6443645083425339,0.6229938993668521,0.6233147069551439,0.6999102102099317,0.6328681481071117,0.6680391335692738,0.6399941266992966,0.7253295211782522,0.6757999091250486,0.7997928150627234,0.6989834052108955,0.6808492962834528,0.838190209285287,0.6899885756056787,0.7640741291603164,0.7051707182887933,0.8189096437092995,0.8259977671877354,0.8362901078229257,0.7970267641850646,0.8164314586032126,0.8053365325893269,0.7550416523671336,0.764400698563482,0.7110997084214392,0.6846903056599288,0.6562959219909104,0.6588576713288324,0.9377427349864668,1.7846962041498549,0.8885311279931797,0.7471785796885132,0.7098795346723632,0.6683964555556506,0.7689428954572044,0.7530393012462299,0.7074909991195728,0.8046641659907868,0.7414646019325415,0.7766531423968972,0.756929430456021,0.8404505290226841,0.7593587013921075,0.7917843435591309,0.7876152827965014,0.8219464214778827,0.7337272968081262,0.7147717930839482,0.7475657856289596,0.7381310005423796,0.75496252528687,0.770893459393388,0.7932991525977042,0.9996322507303305,0.7944153757391684,0.8840020426931957,0.7366131740021259,0.7136685910277021,0.7214876306060488,0.7166080921148009,0.7063817205447792,0.8752866983075961,0.8485679325808736,1.034598805174723,1.2290051715247454,0.907493267310543,1.174414099378345,1.3016971460734938,0.9254074353202636,0.8270324089187869,0.7342129728403539,0.7400342622412999,0.823832409517247,0.6585029742861573,0.6531268864752612,0.670132420782725,0.6849296934156485,0.7276683357635431,0.6531738187609845,0.6746685898486369,0.7660505595002164,0.7418299668622196,0.7835849948751625,0.7505181641825547,0.8280292300088691,0.7721230723709054,0.8065982206443122,0.8516802763306908,0.8756576146253565,1.0109507862944263,0.9319422397999176,0.8942392366435905,0.9352683033516193,0.8863024036513544,0.8215810770669323,0.8645638295319075,0.8880402771322071,2.7279075926962397,1.1803256058746383,1.722294101644213,0.9835690238698392,1.0875361778977926,1.051637155441254,1.1335247700661037,0.9355664893636848,0.7772035542851782,1.0407236725300635,0.9490066919896323,0.8893429847580835,0.8144343291001315,1.3395500803397122,0.6937976989514291,0.7286823958685948,0.8699771075510784,0.657641057602701,0.7583877131445409,0.8556061982289569,0.9899428750475091,1.1357371058900352,1.2689111642305348,1.2217161606365352,1.028414837476253,1.0551846395537792,1.2577438710843574,1.036617013567925,0.9011075701898589,1.0408314100217162,1.0332442255388201,0.9023414282495208,0.9912117201575865,1.122314477395942,1.075567302912315,1.0093853861258923,1.0850733045121514,0.9872256611366377,0.9786463527027246,0.9277186082235251,0.9335367808182952,0.9346218091206203,0.8433658502122611,0.8663707538241374,0.8214277400522894,0.8049807288843205,0.7400405368327584,0.7818501887800353,0.8137022995322152,0.7626977819172712,0.7342603815832837,0.8510815481053755,0.8821785164793212,0.8378793137310325,0.8354637555286689,0.8672960184296244,1.048239933296798,1.0191225444493524,0.8563412700717855,0.8289102039431978,0.7511702185617004,0.9174547161038945,0.80966127710738,0.8194746107932195,0.8776659991783025,0.7064279437173511,0.6945091676755272,0.6669616227843386,0.6353015525052512,0.6605885709111473,0.7004491573666263,0.793913143508838,1.4993221494336686,0.6986801254647163,0.763975127421705,0.8678385914293191,1.0621348693934265,0.7335664009337923,0.8759318015509551,1.1688511573894362,1.3029462851182616,2.072233400751426,3.332057705823344],[1.2318349674672389,0.8750283002866726,0.8156502940668301,0.6377548154261501,0.7412080885306157,0.7452944955880757,0.6974053564736451,0.7701613161562413,0.7296302283772659,0.7018103354100812,0.7570897347310597,0.8484086514071328,0.8271045697222847,0.767016341626038,1.0078590357116959,0.9838547123731242,0.8922233876076424,0.9916701706610986,1.0222170658815677,0.9872186900643056,1.0818417749557425,1.0495772216062915,1.123263233323798,1.137717220220184,1.0360423042423734,0.998334272250846,0.9412347531368566,0.8905350960717304,0.9542905813018041,0.9852771022150435,1.0900692155377627,1.0683962894033148,1.1100485255289267,1.1838032312346871,1.0996936519802525,1.0470098134111792,1.0246453889543792,0.9896390507811853,0.935997675990841,1.0041496334416324,1.0084524718787955,0.965636475432808,0.9416954373362638,0.9794297134680958,1.0579283798894508,1.3924795775076437,1.1663144352538295,1.0453620384616564,1.7512805813923542,1.6183837839396982,1.1891058375097996,2.8855331427488355,1.6983129346095935,1.5274479883238377,1.728581065894119,1.17576271254814,1.2591957023272842,1.1986690129892634,1.3694744776179386,1.309295437405446,1.3480957637443653,1.6306410283643613,1.7698565958725547,1.5355461825763856,1.1752807412270097,1.1432612459983882,1.2446248162194524,1.135889480303144,1.1893407558281919,1.1045587457650166,1.2358887833039252,1.7410302690340396,1.3573088237966986,1.3574944961303022,1.1961571478812545,1.6028495195561556,1.1799209681812108,1.2020731378439877,1.157915945115991,1.2047218445026582,1.1271620427247602,1.0511675877856985,1.4662674164788236,1.229449887296377,0.9900026099779158,0.9863789226389891,1.0405807728261893,1.1540497660462037,1.0765516069988534,1.1830839231133192,1.1897170172373301,1.2546328851764403,1.2467069831426332,1.2142650276024798,1.140371968567827,1.223544363162023,1.1628013502000816,1.109712433151497,1.0408490739597787,1.1022319733081756,1.0561087435570797,0.9645409091879033,0.9957686254135248,0.9553462481900634,0.9730572022039422,0.8915756508271764,1.1210494040816446,0.8893936598389642,0.8689764097231445,1.0039920807090323,0.8119765670442878,0.7933234301994346,0.763880024782145,0.7749683982950493,0.7573350207949824,0.7289486452796479,0.8191780901042128,0.7478810578415221,0.900626587574634,0.9243051767889662,0.8235006553062095,0.7740162218568284,0.6778686139287631,0.7140728786500212,0.6777198475531955,0.7102916544471982,0.7636765064915252,0.811842390522421,0.7774558628942312,0.8417594798878597,0.7827987362978002,0.8943335754501921,0.8286578427733129,0.9668898403423681,0.8125071319644974,0.7829882896726994,0.9033137707976274,0.7636007402237764,0.7737496192182219,0.7348562087926229,0.7846387652080261,0.817531489665606,0.806461414311912,0.7972881315020014,0.8607450158397941,0.883271227867262,0.8218994325865248,0.8763541994596968,0.8630479775128687,0.8369640055077738,0.8382232048596512,0.8502469588559548,1.076488680733744,1.7262480934114086,0.9958660006137673,0.9555909155133726,0.9351501884829554,0.8795522907346854,0.9510786573961313,0.9098606999106827,0.8426670479499611,0.9475456183325758,0.8273660921641831,0.8951529706942459,0.8615513683859388,0.8903020532992747,0.8354035361656835,0.8509014845283418,0.8597749298976006,0.8714693923911785,0.8111314808322577,0.7905438222442055,0.8584265402398094,0.859313916296796,0.9194363946198688,0.9711106638218087,0.9874498804467227,1.2029586743465965,1.0075351130378503,1.0614196956527902,0.9033185518294665,0.8823483962260602,0.8901703211393057,0.8701826761433886,0.8335960598667547,1.0034660371164439,0.9619003951000056,1.1352607964853194,1.2551479130972019,1.0047555918240785,1.2235468886349214,1.3043980323909714,0.9877254540577316,0.9324295223090935,0.845666669212031,0.870548231833854,0.8975947039299844,0.813120621771549,0.8133518377657079,0.8263603516119135,0.8486783293979941,0.889837439963166,0.797417804326352,0.8102076314464983,0.9028601419540921,0.8732937063740555,0.8774710707175039,0.8849386127827382,0.9716594407297473,0.8909940915586122,0.9271318339472859,0.985099703391423,0.9895081935321194,1.1265755597790295,1.0498083154690465,1.034044700036735,1.0912889647594677,1.0166299843060431,0.9630807400385395,1.026409939430659,1.05302694418923,2.7042863791763723,1.3870938813505984,1.9250645094258403,1.1652147244943867,1.2316044226439982,1.2041788276765995,1.2946328703439094,1.1023425784892236,0.9666136849097695,1.1856270915480094,1.0725250412252825,1.0464592952816718,0.9762669945467123,1.422741075781149,0.8943529263564228,0.9131088902649457,0.9264681420012937,0.794947127034795,0.9202516676031792,1.0234331488095272,1.1750758791407498,1.3029976865825235,1.3832110536052682,1.3473226454864071,1.202107103863334,1.1797465403327827,1.3486102337984176,1.1745800059840261,1.0397199693802617,1.1784735893682954,1.1622090074950489,1.0233251790332505,1.1217514937599664,1.239268107441974,1.1720729724465637,1.1358472831059443,1.2007134358223692,1.1232160258644497,1.126802821462844,1.0786648493466522,1.0988767832894297,1.0836821320249777,0.9898337256865213,1.0080296641057187,0.976775134261309,0.944361756507873,0.8772666030598232,0.9427160724340895,0.9169082747179234,0.8542733913868138,0.8687445007811361,0.9089948650546001,0.9926697832154747,0.9015862473817139,0.9142062592552133,0.9455955470654361,1.1037172828155086,1.1334845435689982,0.946754987975613,0.9136984337279332,0.8510918857811517,0.9757012093679239,0.8634996582033356,0.8583489020535476,0.9137314903806083,0.8075431574086559,0.7908241482325182,0.7985238321310404,0.7377161445446722,0.7571365644254723,0.8347593488432576,0.9191240741938956,1.486157880068871,0.8334085490412186,0.886140286302276,0.9704696130724382,1.1717042559684745,0.8372338380928342,1.0281536221796124,1.2201907112026669,1.3985258489938575,2.1995009108402312,3.3258722166010206],[1.1370539705041212,0.7608233273555237,0.6319709191120462,0.4964237266102772,0.5066663100758321,0.4943875624710015,0.4189569156651953,0.4808247228740734,0.44291181694410703,0.45060100212916204,0.47867970793223574,0.5511992353618073,0.5180876170618247,0.5086786620607355,0.7011307412444444,0.657913880952086,0.6142207323059782,0.7026186377888619,0.7592402757790526,0.7162456945703277,0.8462042546757927,0.778899497135546,0.9423049694600261,1.0169279114961272,0.7837901533056014,0.7659331452405246,0.6541694674958446,0.617775791365718,0.6449916343263992,0.6431445724781806,0.7759797204953375,0.7316840998689078,0.8090885864577694,0.8268906747131682,0.764897371160697,0.7049705076111576,0.6947439224034205,0.6716236229488284,0.6217858830649686,0.6802896688354754,0.717845052664086,0.6818201854184457,0.6504465492889443,0.7153744015818633,0.8550136617027211,1.2386630207232254,1.021856191648437,0.7931516904254415,1.5259956921547817,1.3498834858152255,0.8796234439410626,2.7173930550407395,1.4327559041305835,1.244260881669223,1.4797643372432325,0.9383135177865931,1.0686044668803876,0.9577492623973565,1.117324609884921,1.203297233066582,1.2009028414372689,1.4531678304517837,1.6376422941603561,1.3342427400167765,0.8949445872460414,0.8564962696749254,1.0255523354380525,0.8759073225913138,1.0109864455112896,0.8796783343671164,1.1168710574907788,1.6049929635628726,1.112861119888949,1.1652311669585098,0.9143129372235022,1.4910523285758743,0.8788433105839988,0.8758505217168624,0.8141980418033575,0.8462439090792718,0.7930451247424751,0.7323088977946967,1.3184360660545904,0.876243887230753,0.6718653960916531,0.6376754430545636,0.68915080377597,0.8495080689607762,0.7371129459069322,0.8491717331043064,0.8506993184648551,0.9490082231883227,0.9191865800716897,0.8626605671602141,0.7954252064427436,0.8718576313841528,0.8512719806863552,0.7640308947250176,0.703783223915468,0.8938005821247391,0.727943787452872,0.6814294107421233,0.6601971293531527,0.6477628116766773,0.700061957793078,0.6145797216905124,0.8556778254896149,0.576588676553445,0.5864347625480325,0.7853798632671687,0.5178282969000964,0.47517476362075184,0.452631377087398,0.4672361534020123,0.5112494218582692,0.4919026787458164,0.5816088511608658,0.5618987207037489,0.704170159641908,0.7303252342190136,0.6227274781654609,0.5786807795758305,0.5019739856294371,0.4972633190099482,0.44004674434953533,0.4211712256745337,0.4672392907548179,0.5340660921505039,0.47915920893930747,0.5356271470153104,0.49374723505348167,0.591419208006256,0.5221638449532805,0.7009312898486912,0.569626888413798,0.5601619051104849,0.662781754167309,0.5157647584399081,0.5912345710948977,0.5154069492584044,0.6232433259500127,0.6332888490538083,0.6011252169019349,0.5968319025901092,0.5802498822326766,0.5834334043041463,0.5372725745368132,0.5731505979339414,0.5325361609679912,0.5212768303489961,0.5492943508206243,0.5630538208096276,0.8487212875420589,1.699853343192124,0.8791428148137637,0.6692585366440503,0.5892895795632985,0.5663886544213264,0.6395411638290767,0.5971306030803326,0.5385424374408931,0.6204563254387658,0.5381465600260308,0.5664433522168119,0.5650951371906606,0.6699505188793383,0.6057456608460815,0.6498961715816246,0.6583576920571765,0.683765854043368,0.5695428766283915,0.5389245864043335,0.579921331199243,0.5731200419898163,0.5925798451520274,0.6348038438621616,0.6413554777352664,0.8782481515351088,0.6395067288129116,0.7630545153680839,0.5699230614823133,0.585275411167658,0.5736771544380651,0.5568562461590267,0.5412468544268102,0.7447850112489526,0.7112414418471317,0.875008962297114,1.1311345752556397,0.8547223066703326,1.125706846341218,1.2079355898869535,0.8349370800156583,0.7143714132890708,0.5727128099254908,0.5803981692623241,0.686465439923066,0.525790162177803,0.5361054687550394,0.5733208518981756,0.5812450646604989,0.6219686281641598,0.5493001719750682,0.5726823329991079,0.6447248885516486,0.618010056212043,0.7040368933748339,0.6339654870584178,0.7035170952265793,0.6474748901570017,0.6885217826837817,0.74133216444963,0.7560857335865685,0.896608781250714,0.8288500380778385,0.803619392594159,0.8591533249137805,0.8128786615738227,0.7163480603888824,0.7512334284871078,0.790152193330891,2.541972380893857,1.1380099786064706,1.6876117971608395,0.8489447723257388,0.9464754593522036,0.9294364981879307,0.9989753704657657,0.7935860169135925,0.677761360166691,0.9799262491628561,0.8434532102424351,0.8511676022105084,0.7246915059186652,1.1404456973474457,0.6375380075255643,0.687404313513187,0.8212682469766627,0.5704119677050459,0.6375127106493577,0.7779960669692402,0.9078740100148981,1.0395904610239464,1.164967954568258,1.1087143363577379,0.9429561446234697,0.944174530134327,1.151423926924171,0.9484214376958516,0.785167479025963,0.9370749461711977,0.9405862389953812,0.7776540373976285,0.874079939008935,1.0255384701590573,0.9545813124037731,0.8878317494113155,0.9636020467678212,0.8663874555903956,0.8605701572671852,0.8059599117592814,0.8128188122153321,0.7966368083598196,0.715485630328738,0.7451471571109424,0.6937604707011943,0.6872072693277981,0.6203475062318828,0.6657561774310343,0.7301227915180131,0.6884337706286255,0.6511114589293067,0.7264683142923566,0.8586545118911708,0.758471883894782,0.8059397823379268,0.865834114619452,1.036032016569751,1.0726513671335394,0.8194851635746796,0.7548787530757572,0.6775452706268649,0.8996577557122408,0.7978358559865222,0.8213888187719581,0.8684252079923821,0.6661162337895334,0.6362534887643573,0.5574986344437942,0.5041812579486462,0.5664791221801073,0.5936898892536869,0.6789230365816864,1.473171142468467,0.5828010095887302,0.6493801477581406,0.7806468726645239,0.9667152880335984,0.6292412011146252,0.7930283722180771,1.0227293780225912,1.3392655050726294,2.1982236101787027,3.4336994558740566],[1.2606818905505475,0.9578596807237542,0.8690089081128504,0.7167965637775684,0.7492560196477298,0.7683453858096507,0.7792936082181595,0.8690008616095026,0.8344026686580426,0.8508602298099612,0.911083680163826,1.0204340278712467,0.970044333600731,0.9312414680836053,1.1080778119481522,1.0820771351630638,1.0403793699403205,1.1323587013333063,1.1632328959670892,1.1543074443187258,1.2985286023127653,1.2335113286336425,1.3873272125717933,1.4393526849996674,1.1500052553717268,1.1289080468297525,1.063896838227913,1.0111820742261293,1.084040153980799,1.0923003814351748,1.2192910245020683,1.1760695596639699,1.2630748028733467,1.2976157451081887,1.2318338618620344,1.1858372584327133,1.1685159305764363,1.12168401757739,1.0816406983724596,1.1395643306059586,1.1165174648570475,1.1131760582309451,1.1209825622194936,1.1255924703141644,1.213511795958355,1.4468572484502773,1.3521951497958753,1.1988949996192062,1.739214027710131,1.5323315548344596,1.2379035216639407,2.8435121535152317,1.7685647208140385,1.5146401467381145,1.6618852699195972,1.3391475953389858,1.4428020070205398,1.3902873808067993,1.5478333739578003,1.559580944635549,1.6251316869865504,1.8327001447277946,2.0260030708359484,1.7403557494829585,1.3508993284200463,1.303744304539983,1.4514622314887435,1.3370351895537103,1.3933989362855228,1.2952490543621151,1.4874380820117956,1.9160429705001205,1.4991501378385534,1.5573475098348895,1.3726829099796654,1.857634226844778,1.3403243845361814,1.3808090579497712,1.3132953086299397,1.3263156580313644,1.235696377229804,1.1777767708197882,1.6295811537151366,1.2763763394305525,1.1232253051714898,1.1171127378016925,1.1659820286803657,1.2870077365945103,1.227362846137292,1.3123480692363778,1.3330507228810062,1.4468967414326108,1.4082730848125056,1.341396111424495,1.2335107340383151,1.2924528098992971,1.2242160401777142,1.196318711901416,1.1329376526045416,1.2889916235306995,1.1620792782950065,1.1204118795376652,1.121659424524885,1.050855953690637,1.069635428964337,0.9738273959685968,1.1039823037790661,0.9782721359598708,0.9909140585505264,1.045105544756544,0.924340758722918,0.8931685064839322,0.8622798477660754,0.8718328520178241,0.9020589906850662,0.8648482209611945,0.9437153234105525,0.9081674278438016,1.1005364423512471,1.0741676787866359,0.9880564888936376,0.9408591563371915,0.8013613365084468,0.7955706195087057,0.7677408045760804,0.8022449137080949,0.8307029103779163,0.8708211793739299,0.8582145295524225,0.9188552191598732,0.854148397710221,0.9248822441862891,0.8837164066391519,1.0213952767133216,0.9381327049536468,0.9241918079883447,0.9572012192659475,0.846145761072182,0.8789609119968496,0.8730479872821034,0.9244272129943591,0.9677226078634757,0.9674854633610195,0.9572517221725412,0.9857091355238523,0.9908893135431202,0.9384316748232193,0.9972307013796582,0.9611784380977211,0.9410340336757512,0.9899633730345033,1.005741559211362,1.219624905911191,1.8457262835042665,1.232179046579271,1.1001566595863073,1.037779507472,1.0312658992167696,1.078231956932072,1.058514101525939,0.9610385121491618,1.0683112538443813,0.9555520085180784,1.0075848346888736,0.962503627665819,0.9644840660595293,0.9337639043744036,0.9505146034276505,0.9491421302766339,0.9463564789086932,0.9069868455852386,0.9026565382659028,0.9692664693042125,0.9889571423686883,1.035647838553988,1.0635555087925395,1.095352999955209,1.2745572449842737,1.0837068225185662,1.1155520962213012,1.0187322929323859,0.9950716566983794,0.9937460070004731,0.9727214447168577,0.9511042606511583,1.1660748229556028,1.1630553169675348,1.234865832156125,1.4754100823270782,1.2291481976310477,1.423096705834185,1.5258226564491917,1.1370531093663079,1.0138976767437666,0.9096520728357115,0.9072500139358821,0.9770297546031327,0.880081380451583,0.8414740276230882,0.894686995146921,0.9076070849931149,0.961257365610201,0.8805864516934762,0.8550016163735895,0.9438704748900231,0.9174960740294885,0.9131285704939879,0.8970044976312398,0.99822773330534,0.9027398354637772,0.9296125443186,0.9907328956007345,0.9932447915504253,1.0888333360956142,1.0534878661853364,0.9987318216458169,1.1032953873531361,1.0166995895908393,0.9648152561183491,1.0307533607122412,1.0525221953262456,2.602909438552078,1.392080610112154,1.9475131171423523,1.1834494183919546,1.2754239171795387,1.2501756572430955,1.289977715512242,1.1311898204497635,1.0102846676595691,1.22960151407098,1.1185323324728635,1.1138834713457622,0.9997032767650963,1.259247290916564,0.9482143203563022,0.9565390755917058,1.015803947651617,0.8520744558365685,0.999210109176326,1.1410328052092202,1.23125042689348,1.385434526112877,1.4650626353986758,1.487500366640431,1.2803037787260871,1.2384616697569824,1.4368120571564316,1.2840251523931137,1.1118673907727632,1.2521416122073694,1.2465501614936947,1.1003913584354736,1.200943995787591,1.3426845093209983,1.231843141271985,1.1756850228308158,1.2673769887718782,1.1659936534193565,1.179718845267344,1.1364297493693802,1.1563740797396824,1.0924378086817816,0.9916718533376659,1.0301506338117086,0.969662328314639,0.9408845681343858,0.8857106704081414,0.9293302147306267,0.9453169577259998,0.8824708262223098,0.8834088313461427,0.9261709465370719,1.0773329829962768,0.9563653571510132,0.9790097138361056,1.033580170806445,1.1402550745757234,1.2528777998944163,0.9852822257650924,0.9051749056501337,0.8618568807339249,1.0135835094498704,0.9442336731122366,0.96344496967013,1.0030289467358982,0.8761735295719264,0.8689782692084689,0.8516133405530286,0.8175108010653154,0.8825056534399907,0.9423268635977348,1.0027696931508376,1.6491046566742518,0.9280419371021738,0.955421021576426,1.0813945083010317,1.1418116210287275,0.8925254133482552,1.0621852514040167,1.2151982979763682,1.4600987817284732,2.446592216245792,3.537543758490836],[1.0540678270313677,0.7192885643577075,0.6784995661998627,0.45736011946080735,0.4914565025770283,0.48658821961565135,0.3636825451482547,0.4249656554700961,0.3612138103417095,0.3470244399631914,0.406924580791761,0.48530823665304823,0.43215960193318936,0.420711675583738,0.6180509232639595,0.5887116640948011,0.5447484529855031,0.6261895231543657,0.6726325512707385,0.6295783950479148,0.758583603741705,0.7082042462569547,0.8649955423007123,0.9523931800569344,0.7833709264827879,0.725021276174499,0.5647930522127012,0.5293080069097261,0.5551445917937217,0.5769900887182039,0.7340117515939497,0.684270648712041,0.7993048722743759,0.8166082272974026,0.7215531355193768,0.6504460408647009,0.636520659390336,0.5923940031907552,0.5413015490049664,0.5983220952823156,0.6354971913910105,0.611160926800815,0.5948073081284205,0.6469150438910704,0.8229115226378007,1.2605151248051492,1.0443640477347969,0.7261614802766113,1.4748457791127478,1.3378791874617664,0.8310584433718177,2.6531408617149363,1.358734649497736,1.1769631988228697,1.4672560903557184,0.884035882966089,1.017234176272801,0.919787238409551,1.0846258376573878,1.1842042506797834,1.1696432666378465,1.419410469007351,1.645504182150858,1.335223354484762,0.8478269565123373,0.8143359541026274,0.9640032895723738,0.8100444083136827,0.9799536912277804,0.801574015170396,1.071619791485759,1.5492874432456434,1.0403767797186276,1.1408583451343193,0.8754907802471692,1.5232585781525232,0.8529307261274445,0.8679739069089409,0.7896837218289153,0.8169579201586197,0.7455986116196055,0.6812444498670934,1.2627537557592254,0.7732900241276806,0.5885743377265112,0.5723854154466453,0.6226923000553369,0.7934697131244165,0.688354978329976,0.832438699372424,0.8250367832204333,0.9525546588321204,0.9105329979309363,0.8526569882371468,0.7607205530457409,0.8487375347372943,0.8032284988015974,0.7376769392554947,0.6857595231782638,0.8994019072914342,0.7149547761133588,0.6844849061503313,0.6286921312723277,0.6121952639330291,0.6424961261810903,0.5748221364266939,0.8579495251954362,0.5360233697361811,0.5487060238763254,0.7689379990641352,0.4798144141869456,0.4054376808655184,0.3790894787006532,0.3832270277982795,0.40061981078637426,0.4023422499882788,0.4911254171087056,0.46163395558096476,0.6442069240249904,0.6755097476417254,0.5764930839598514,0.5262524741598993,0.39876640920154444,0.39070482002383816,0.35126522479456235,0.37911926267786905,0.4191049249065795,0.4569408374732299,0.42450687691026606,0.4847064222623858,0.4548747928050315,0.5577589638574322,0.45271924322597434,0.597880835729739,0.47329056371749484,0.49764325113112695,0.6570926012667178,0.4296931406436523,0.4743562986291234,0.38407305370459066,0.5216093627395774,0.5358876254879,0.4809039629481189,0.48678428454675776,0.4756457083634809,0.491811744279389,0.42704042452712315,0.4768140148001106,0.44765803545180044,0.45379839061113003,0.48999098223622994,0.4919059594780657,0.8067919866482319,1.5578632310145055,0.8556723396312422,0.6538571610409731,0.5435454196618791,0.517075226412599,0.5712362578053359,0.5369007496857338,0.44056966265397807,0.5334074114379846,0.4350428175759531,0.46147977876920593,0.4671007880022189,0.6307858864557229,0.5004982248527559,0.6018856344086709,0.6388801206643415,0.6575742451904152,0.4949576638500123,0.4319067501555007,0.46764274078007323,0.4630739212019101,0.48402633151180263,0.5607900559474168,0.5826484853983864,0.8460922006702889,0.5741453899650157,0.6897773866260446,0.47609655701789483,0.496441219209715,0.48307634962589574,0.4680996512224048,0.47085568329541394,0.6937510038494942,0.6608142257766674,0.7945753642598037,1.0719856714532525,0.8432018715526289,1.106562889692482,1.1339720215627553,0.761566442707718,0.6403262686247317,0.5168947988640126,0.5381863007157627,0.6040441609386158,0.4903458680380657,0.5094735024388006,0.5593551747921804,0.5594776486502899,0.5943881428667225,0.5229095156310699,0.5625093218244577,0.636841001739092,0.6115486352583556,0.7091765412581341,0.6448943653004209,0.7041630624771299,0.654153779153557,0.7190302150002266,0.7660565880485563,0.7607168090750001,0.8904714318450496,0.8806611427953611,0.8564662710661625,0.9071750446192447,0.8632729734531833,0.7683121359065144,0.8046020648828037,0.853636630275776,2.423585380798982,1.2200855116513984,1.708309899188601,0.8519004127976859,0.9359170515588526,0.9155569030931087,0.9225316876290369,0.8159591921845505,0.666292010843332,0.9032905634257368,0.7716797904254601,0.874284545168904,0.7100065582035503,1.0517495401355048,0.7046032367623762,0.7161174666327432,0.8368790043976823,0.5779067906310814,0.606142077871679,0.7166967057270858,0.8820307217697979,0.9930620307259943,1.1635473611268345,1.0765125245114058,0.9239985314747974,0.9438860674888045,1.136315656446862,0.9448642108385668,0.7889514308495935,0.9649139298101886,0.9733665842578708,0.778158572775509,0.8986413148082028,1.0677818248786195,0.966190427895267,0.9081218259855115,1.003263426840167,0.8948793117285162,0.8847401540310429,0.814120139374486,0.8202860487329637,0.8213603248734875,0.730397087234997,0.7383344421997415,0.7159858102986639,0.7078774944602032,0.6200648886050983,0.6694263179706332,0.7720273551423557,0.6890888582898151,0.6735602238908618,0.7323137791491365,0.9165331785896027,0.7818819329128959,0.8277372105991893,0.9120708010390408,1.0720540710594773,1.1492706362907228,0.8991719980276917,0.7718598308633163,0.7167789330136258,0.9576267465380244,0.8932982940935804,0.9297311096306532,0.9328576211846451,0.7113571566061249,0.6532332804349249,0.5230080078668308,0.4767579596143736,0.575677997424129,0.5492088728946548,0.6428287929156438,1.4200891870088628,0.5451446906116248,0.629494200386925,0.7510925887749212,0.9544356399419619,0.5918234744490286,0.8097519300849959,0.9725644883473429,1.43652077420625,2.406670368947652,3.4882945940139414],[1.0474395725873302,0.7211259025990161,0.6533229076650028,0.43830961142738634,0.4657182591002594,0.47866884873056537,0.34865116219284065,0.3982819202536526,0.34196403112306945,0.3122294562108861,0.3635074425391195,0.4432504665369598,0.3995531050935269,0.3902002118187131,0.5595166519589857,0.5395895951298526,0.5156607050591551,0.5846707783073524,0.6856494196583958,0.6197913127330331,0.7668007045136548,0.7215343793234069,0.9342715692239983,1.0352702856980496,0.7699142937518865,0.7332669140007487,0.5494695770275383,0.5083236712333776,0.5148951933474945,0.5253347003688427,0.6735911388438822,0.6128209221639912,0.7527238335166754,0.7489275617901673,0.6634386820208305,0.606512541279875,0.5791856105133437,0.5431016997111976,0.5140904803644104,0.5763844367622143,0.6224041168500675,0.6013076607422011,0.6175220454284343,0.6421815739426249,0.8222493255629205,1.225926511054263,1.0858903340283523,0.7416701789417991,1.4482569126148415,1.2689918871556065,0.8194366848367404,2.6617539514843886,1.419585015542112,1.192994811250019,1.405860290352229,0.8587069590506233,0.9747162946056449,0.9191861021578875,1.127751716852892,1.2244739010043764,1.2523799458071843,1.4679960152604479,1.7374367772317614,1.4037375711617897,0.8423626929664008,0.8231581650672217,0.9843232997830972,0.7901943236420845,1.0168455532219343,0.7832349324219257,1.066753306594866,1.536568255597431,1.0006640923959647,1.1528599209901629,0.8499450440527614,1.5158106553714012,0.835450468493323,0.8408872018800491,0.7611053128511874,0.78872105118819,0.7061977319322578,0.6525028866554232,1.2439276989767227,0.7327093911824447,0.5628878301287933,0.5348344447747168,0.5776515243133057,0.7379003081303462,0.6527315506166745,0.7977875334492311,0.7874957848635316,0.942100491082518,0.8652284836283756,0.7915125948207486,0.691154277888823,0.769216441953153,0.727568020639936,0.6556277899407136,0.604938491623097,0.8475620127214413,0.6324384041757133,0.6085834933409936,0.5546748230628173,0.5514424627979382,0.5770455103904077,0.5451784990531624,0.822228147359581,0.4995317159962941,0.5115621684806078,0.7457081307532816,0.44191486605363556,0.364977744007718,0.34905333694379903,0.3987595512945061,0.4087269340545514,0.4253159197886778,0.48117516574588254,0.4977581730078454,0.700990115330771,0.6762740859605743,0.6054477559438391,0.5462262870696892,0.4225745821817193,0.38910272214487607,0.36183543427751563,0.3838374526070579,0.40503517037417663,0.4264244505408488,0.39192159476514077,0.45025037680863783,0.4175102453313044,0.512739212072589,0.40520577038697175,0.5800252662686938,0.4477981540001665,0.4672667756686413,0.636236772109574,0.42332592654446083,0.46491611726887594,0.4030864127930657,0.5481112097860524,0.5614326232523681,0.5302550703623854,0.5117565253441051,0.4738709842542588,0.4962327575629684,0.4224326564062788,0.4458199893514625,0.4150036443662235,0.4043149027486735,0.4501962137838534,0.4719336614543359,0.8238185166329831,1.633001218379738,0.886390066081057,0.623002708422018,0.48090092851660016,0.47054388934608093,0.5198190527903728,0.499329755140525,0.40584139212481957,0.5122078194512376,0.4178149520356341,0.44354014905401085,0.4391340700359743,0.6176232041817374,0.47103527389581706,0.5678079433517716,0.6242342357588979,0.6268612871660885,0.47661303027090673,0.4207102878843465,0.4389476040366272,0.4278892606551557,0.4482836181946178,0.5036316334165813,0.5332717245058319,0.7855178889343432,0.5272555275093378,0.6294260619215282,0.4339523701338113,0.4579568699202902,0.4521722410973086,0.4243416092578797,0.43952958696446187,0.6924545759094387,0.6792531124399036,0.778927323073042,1.11700673036028,0.8187890627423933,1.112929490540827,1.1877718924658474,0.7836582787911285,0.6285675439243771,0.4845570071279262,0.4867582528512316,0.5648326039152657,0.45530409029402336,0.47919001412721196,0.5480899182709772,0.523998096392149,0.5663610528909415,0.4968034893004788,0.5312339294597744,0.596027558005107,0.5791286675765529,0.6807283584312729,0.6089142767257274,0.6764407819860399,0.6228534264953235,0.6884580968840694,0.7362032448623548,0.7389879714213141,0.8366916239014636,0.8463819991790849,0.8143234626088316,0.8758261788907392,0.830108008788709,0.7269311248084455,0.7660178435401556,0.8133956035238251,2.3477310472378994,1.1932481114051794,1.6889291834904177,0.8193338001973917,0.911593214639955,0.9003635312838629,0.9125707329593491,0.7818545453614498,0.6325645264846554,0.8635482113280102,0.7478133463333947,0.8487175591550329,0.6693473520233769,1.0015050588161307,0.6965353780142011,0.70425338065503,0.8506418680964446,0.5526073072651033,0.593194771891797,0.6949962747237454,0.8557632881049507,0.9843176457234263,1.144447431973686,1.0718179451428722,0.9076660367003148,0.9189131017392868,1.1295664449534635,0.9365749606356583,0.7660411482254099,0.9509670393240495,0.9647419517007745,0.762509697915365,0.8822575975932261,1.0624376755173408,0.9645669110846198,0.8844641195571973,0.9789398312089611,0.8633306111074477,0.8515173557865072,0.7812460866364056,0.7872977909954969,0.7831953064422036,0.6966336214059491,0.7006581089693287,0.6808468329634966,0.6797290652204656,0.5921168929018762,0.6351276156942439,0.7467620360588068,0.6729356902984186,0.6666878035109302,0.7207192039775218,0.9326041727439222,0.8053951471436427,0.8409735892302711,0.935581068020037,1.0933253885887455,1.1654635541869929,0.9036590933050772,0.7499491226004062,0.6992722216023589,0.9396682819465817,0.8957384542057696,0.9508389391629425,0.9397525071437854,0.6980477504050768,0.6307924009401614,0.4892505065245211,0.45514193634770506,0.5435891668764471,0.5273254047058704,0.6235667757827054,1.4462140479900953,0.5286044177034772,0.6023305852916127,0.7311539165990746,0.9347451329653096,0.5705910032748137,0.7896540944532663,0.9605525430575376,1.4351553476567305,2.36971677202531,3.467283694150151],[0.991291986221998,0.7061086272087821,0.6811822480292496,0.47055926799283687,0.48949796674450674,0.49470501275762596,0.36005977701708797,0.412032147325891,0.3550353160383649,0.33688237982979313,0.37868893706757917,0.4670316792765129,0.39766746662855834,0.3950686737327787,0.5535647956310847,0.5270609628678458,0.5065183460962848,0.5658069504936392,0.6318857812987486,0.5751972483710626,0.7104230555346694,0.671984110836503,0.8621646580343149,0.9738941849137881,0.7984184963115459,0.7199443516649234,0.5137759815184108,0.479671084806081,0.490857313892068,0.5146585403483869,0.6545261502740812,0.6049598117368526,0.7329343309173876,0.7224015066233648,0.6353313747429898,0.5774950771613458,0.563273343647466,0.513134169129658,0.4787676597022947,0.5281623757535209,0.5912631386283691,0.5681791665497085,0.5751813246849545,0.6112953498483163,0.8133366801491969,1.24904688926059,1.0951132722596233,0.7013407233564423,1.4035729022684096,1.29537453717922,0.7791618832422544,2.5843815763071514,1.2969979317089757,1.0908328846817472,1.4182836785840836,0.8385863909400667,0.9824307040663557,0.8691623654412594,1.0314268918375662,1.2143714848435843,1.158951721934117,1.3706690976416465,1.6355165609613636,1.3232391615787291,0.7977295482591366,0.7829185397152904,0.9356427679887289,0.7428397900814053,0.9685048059831866,0.7512148388597941,1.0036471573327088,1.4427263011514715,0.9674139214534638,1.1197249565472387,0.8245133809299203,1.5228117177118747,0.795265845902505,0.7993601220567881,0.7182998882875257,0.7628405836055452,0.668254410929219,0.6333111785717409,1.2131737388150357,0.6840878826836694,0.5296439806312654,0.5065818664295106,0.5383118957434003,0.7127003324536962,0.6161490283694644,0.7570622879165466,0.7530597868031483,0.8994215501675484,0.829454871443581,0.7673384715076768,0.6736330729469477,0.7577124918062029,0.7175211654403478,0.6547771221558417,0.6188255441961502,0.8647243129847035,0.6366962849186191,0.6325015114106777,0.5527790972155315,0.5586894311848147,0.5836222382903479,0.5393493684218567,0.8111616324679862,0.4910518370285722,0.5202359237161633,0.7292196151964289,0.45271945134016184,0.3697569376245809,0.3531997495012151,0.3712310036981844,0.38694958138726904,0.39383554828258394,0.46132876152630575,0.4543845586187141,0.6354206448619644,0.6560754213541011,0.560721802201932,0.5135162888361876,0.3921761978202714,0.37294506863366456,0.35365933699824487,0.38916460951391474,0.40940951087886224,0.4403754863218524,0.40928295873703496,0.45124195564218655,0.4441155858487293,0.5222445142389708,0.41447599777909727,0.5606164348929289,0.4485227196942987,0.4970507768814378,0.6405841794485188,0.4100456982811595,0.4496331441904484,0.3817376514907551,0.517954069031618,0.5276360900391368,0.48723990844929965,0.4665980482723038,0.4398188081878048,0.46159400353188274,0.39443422779386755,0.4263855195457836,0.3898531521097725,0.4075225854753322,0.4618531361735723,0.47004628145624383,0.7993698223588944,1.5828015173821384,0.9037423442203298,0.6209780798719113,0.4973918251550116,0.4857877659608494,0.5035269614410623,0.48695030340722184,0.4052249773969287,0.48159122498471185,0.4072231407402247,0.4204576013688796,0.42245583471119913,0.6337140700020303,0.47437977973245643,0.5852909053373426,0.6526384339379178,0.6402199516747907,0.4861868416945822,0.41504871521908837,0.4367632321066154,0.4077431592977411,0.43042721842189813,0.5042495627169897,0.5256556314408196,0.7632947553299255,0.5102376334309064,0.6148080219676991,0.41849809016050266,0.446819613783634,0.432649268456842,0.4270545815828886,0.438703584012191,0.6689981232952343,0.6663495883210113,0.7684570152510246,1.0818124664764068,0.8381209078147115,1.1159284369018792,1.1284862547942276,0.7740742020114064,0.6357684117763255,0.5109288705941885,0.5230742313030424,0.5791616881050609,0.49534487623945944,0.5254442285211842,0.5871940694019449,0.5513759046071663,0.5829470588050664,0.530269226766165,0.5665842448063775,0.610396583037794,0.5963703750714093,0.7132023822103596,0.6341594097484873,0.6864006726022407,0.646983095047419,0.7125204218802452,0.7511620853492914,0.7508690025948432,0.8441742222445857,0.8676624899337064,0.8260918451805145,0.891456733179296,0.8604637600949407,0.7543758945795076,0.7857179878978972,0.8341433300737437,2.2364490275229962,1.2107096755477371,1.6598726922844256,0.7994471418100796,0.8815235548673064,0.8811766012270519,0.8624895847802392,0.7738098422166889,0.6386397209751065,0.8511895545911639,0.7417518745931899,0.8791195651938141,0.6880499530128229,0.9833664454597665,0.7738265334723621,0.7518894859185097,0.9074131435455004,0.6097974126812452,0.6072758307301612,0.6834083145330532,0.8375096368370583,0.9391526983302954,1.11437943114761,1.0263988846949201,0.8848320660399465,0.8861810477525146,1.0933330007778972,0.9111535902772206,0.7488650369306299,0.9221270783931592,0.9453303784049507,0.7462611749876715,0.869729096001039,1.0549941715439826,0.9697655318206886,0.8826089696054434,0.9727354492777905,0.866301376792213,0.8447965330451072,0.7706073364502126,0.7763713144669309,0.7818947844350901,0.7110522961461513,0.6949993522041557,0.7028434378986779,0.7131909807100901,0.6178570500981186,0.6584919933843483,0.8119543062782871,0.7206723314490009,0.7040213567271213,0.7626232517926035,0.9899681546964206,0.8534717879666531,0.8870326772629408,0.9938178503941695,1.1203361673816818,1.2366939075287864,0.9464124798733132,0.7837798700531365,0.7315198109075057,0.9828260246595988,0.9574660737706309,1.0151430425204901,1.0145854362416682,0.7611644760134055,0.6846980270674001,0.5316714441146208,0.4867848727614924,0.591502731232379,0.555477827242923,0.6372626709070784,1.456396211003348,0.5469899559239649,0.6198755156047857,0.7286494691628498,0.9360486024677884,0.5806294017662321,0.7878640426510835,0.9369982088522285,1.5140505226052736,2.4614066876592213,3.492953248760034],[0.9803271138268126,0.7473046710206922,0.7597989793600669,0.5085469849089709,0.5360155298773114,0.5039654705321225,0.39187529923296144,0.43956533817706356,0.3849668199498067,0.37516788233453874,0.4050805627040714,0.4893138259401505,0.4220496822087849,0.4140581437511893,0.5644576138124916,0.5324090676301796,0.5028814587574082,0.5635572111628406,0.6140049504011339,0.5710491048319122,0.696060898392803,0.6606005223922249,0.847293094554208,0.9759610056725905,0.8381713310066443,0.7388158492699676,0.5267289421296915,0.4983679408351182,0.5033959966293311,0.5247102382611867,0.6516538123227403,0.6129498777223599,0.711721723254408,0.7165759978860271,0.6297457688039153,0.5657035322930081,0.5635023045479746,0.5204829160820702,0.4783853080405498,0.5128737256464759,0.581108432699962,0.5717344089942809,0.5628324592415246,0.630938778313474,0.8498940807328119,1.2990907646450167,1.1294134687681852,0.7016813066859994,1.3551547561237858,1.3374482318972702,0.7817085434352724,2.5028554498944513,1.1969941207550683,1.0325581448831893,1.4909316195741265,0.8497464757794269,0.9991311747737425,0.845880050646293,0.9883401616240094,1.2045842526396036,1.0613123068447596,1.284627258089407,1.527428145403953,1.2495133468238384,0.7709778073881942,0.7502209324070683,0.913102665467297,0.7289962513469979,0.9430121015029475,0.750505006790172,0.9868849805069437,1.3978551467638205,0.9639564163956434,1.1031875331044094,0.8132657100480966,1.503393226810694,0.7836290824585642,0.7776961778151069,0.6987981075767586,0.7386570922868755,0.6575897178048185,0.6307296783071835,1.1810284263845685,0.6759968422914314,0.5346137745222207,0.512333643104878,0.5458476368847053,0.7163663075250843,0.6027240469415001,0.7379456373224608,0.741824824514424,0.8880044536625467,0.8220596360856083,0.7631831136630497,0.6736708772405061,0.762578212011656,0.7130523423458167,0.6590336589052842,0.640060793897087,0.9023127861430896,0.6591266169517187,0.6703305607821797,0.591531048719445,0.6146734980919958,0.6216422508256569,0.5678970097141373,0.8660078125392636,0.5530143792349328,0.5796368286476868,0.767505200938487,0.5192051031015986,0.41540912426773235,0.3868645308562228,0.39889566465324167,0.3984830262815544,0.403402477627583,0.4957291988184514,0.45033215521289377,0.6168493196300073,0.6554860532464051,0.555215373794326,0.5306728699342134,0.4205175879175615,0.39250369105468197,0.38238238504417904,0.4116584228796545,0.4445689331743418,0.47703621758793857,0.4521964907520269,0.4859731769346404,0.49025213385772987,0.5813588436781411,0.4552546080746684,0.5753897671832946,0.4728636825834117,0.5354766988020991,0.6572068460111483,0.4364639007247777,0.45280632886103594,0.38884867336334045,0.5219128753004784,0.573640690801822,0.5003060624545392,0.4729652885820092,0.44410283307033166,0.45112787540165067,0.4024194194911254,0.4436685133900735,0.4128718417730659,0.44248336823650525,0.49426430511740266,0.49702607788361386,0.8062848091680372,1.5119600002649687,0.919941115328142,0.6556718803435478,0.5366400322742707,0.5345793537737715,0.5293534206843978,0.5261719917014104,0.430077738696835,0.48320746532821685,0.41939197821507,0.42350525996770594,0.444367771180926,0.6430442554823746,0.5133404670134589,0.6421812272252689,0.7066397893435367,0.6837748494595559,0.5178721517383029,0.4457115838307527,0.45287085943388006,0.41976129697987347,0.4340662571061471,0.5145058026926043,0.5370653876135536,0.7607501575440596,0.5193157643300438,0.624821840116449,0.42488014188892015,0.48126134209027244,0.46309941645123665,0.46292877601083604,0.47685019894923764,0.6746207019969506,0.681824380658159,0.7809207745752372,1.0527538779058254,0.8861142455491556,1.1342971341041999,1.0679836052589913,0.7763250538043716,0.6564435656878012,0.5446101865612512,0.5543034272018211,0.6108587798505809,0.5576151881384753,0.5922772990144166,0.6514268791369389,0.6351089069266688,0.6583411834419259,0.600046507841035,0.6391230382318599,0.6852888244960371,0.6716390558511093,0.7569050209866247,0.7123871176713107,0.7645465757615685,0.7151481331248033,0.7787375795849529,0.824986920140105,0.8227145268117032,0.8755555926263524,0.9260391040901802,0.8950907189393654,0.9648919930358381,0.9215851794055726,0.8295361784238682,0.8631889688944742,0.9202163934602042,2.177581103300186,1.290569384613847,1.7002381938860816,0.8551033616959844,0.9232794283799975,0.9385528352219654,0.8810422821196036,0.8424928776309565,0.717350250508749,0.9054506996865874,0.794404611514956,0.943860148907676,0.7666033623981621,1.014035794549491,0.8653294779946213,0.8270081465713073,0.950049123566026,0.6885551194704704,0.6462490521116222,0.7202888431675386,0.8751018404343134,0.9673418394285732,1.1571845087633224,1.0492536936896497,0.9341314119975118,0.9345256694915421,1.125181856327426,0.9593463365252429,0.8051774549401042,0.9671073496817452,0.9885839105228602,0.7975406572996,0.9286704076237263,1.1146449063438464,1.0237739797699437,0.9366941359654322,1.0307113589551364,0.9320662669517668,0.9191297645005069,0.8479786688374619,0.8578508501185084,0.8660065538741323,0.7866006898541295,0.7684318791290975,0.786418724572461,0.7941749283697205,0.6952261086446595,0.7390760803707987,0.8958911151962394,0.803688864663328,0.7770500089909634,0.8306334314829479,1.070921233990272,0.912479596665402,0.9378831990470852,1.0574023957172223,1.1413172846499469,1.3043414390536348,0.9943881460913966,0.8439024171399684,0.7890119977025789,1.0365331298122502,1.0194042139336745,1.0727137975049394,1.0599948651409645,0.8344017905953552,0.7492668677207129,0.595920931284534,0.549079700675602,0.6801833505861842,0.6241804333874855,0.6808626322272797,1.432731191334371,0.5991700406321692,0.6724968347034918,0.7774332866158895,0.9108590125741766,0.6036061183633634,0.8366560458657097,0.9090635192962316,1.4911950162887035,2.5121943733504812,3.4308977814578543],[0.9430717819319456,0.7095150606018307,0.7207571934211633,0.4574098970489398,0.49712332294273,0.48820177611289634,0.3930643361669167,0.43373264688724356,0.3778457525369993,0.40044040754761534,0.4160386728611432,0.46318454248565505,0.42487795225092684,0.43845604643376795,0.554346468315617,0.5262984922115604,0.526158486162788,0.5686274392672387,0.6172764656222562,0.5783384369032948,0.6837539047212197,0.6662684979193927,0.8388945829520272,0.9542709706899659,0.8866658687766206,0.7572286973447231,0.5113404865284183,0.490394373101717,0.4929631416881926,0.5169283863781423,0.6346941585769144,0.5689573186896388,0.6929630053503176,0.6659391246477587,0.6032206820867917,0.5511263389123214,0.5418740422750293,0.5126791805847581,0.47384274679579774,0.49100350380051044,0.5690015770408331,0.5918727707141712,0.5889831284591066,0.6529563964229781,0.9031284081225833,1.3405234269104334,1.2278858504363008,0.7459528829223786,1.316783038141235,1.3380712897690783,0.7937528404101847,2.4345624616758266,1.1540961790628526,0.9937461610906959,1.4767415444983998,0.8228985237574923,0.9824779346813775,0.8172414230686015,0.9305783195799116,1.2378874017129047,1.066155242886998,1.2390162978326331,1.5021188893636321,1.2433720568774915,0.7797475736799763,0.7691905734801289,0.9389379443642631,0.720157196636311,0.965808788339702,0.7571231078823204,0.9388383433641939,1.3105037491907459,0.9337164581158269,1.108092793845659,0.7879245364841453,1.4811777575364962,0.7382916451927117,0.7218787389448615,0.657169052025285,0.7126920476685641,0.5942608312691953,0.6117721198783524,1.145552237743787,0.5872642513459737,0.5284877874623829,0.49051842320503597,0.5026456034364446,0.6841283439792106,0.5734348566705355,0.7063744816435868,0.6938343804818595,0.8585727422968054,0.7771947001663705,0.7002422973476695,0.6358897646386136,0.7181480652178223,0.6875303402455759,0.621189256737905,0.6002721609113495,0.8668753574046305,0.613239341066142,0.6268664819619016,0.5384238879218092,0.5859077311820161,0.584047492341286,0.5687046260390528,0.8384266504005656,0.5371088946829005,0.5681254542244153,0.7617670238882047,0.4918195600168458,0.40468196961086395,0.3757850796529017,0.4053196613090931,0.41150282305626507,0.4302051498221929,0.4943566915335857,0.5019949285251347,0.664588985536171,0.6837554071452802,0.60569963355949,0.5480696532469701,0.47703895729343426,0.4369822044583294,0.41357930552210087,0.44353196805526707,0.45002542884647606,0.46007284316617225,0.44952583653243855,0.4772695095979145,0.4709952370440513,0.5439336270506934,0.4477833822149845,0.5510340800040193,0.47166451574125406,0.5505209731142513,0.6916942467175743,0.47038183473499556,0.4716797110109668,0.43532716494361234,0.5669531017238825,0.6014860416182976,0.5254483493759841,0.4969190481048303,0.4651853620887356,0.4547366013270652,0.4166264995442795,0.4222225719066328,0.40809842177881955,0.4159838186023497,0.47937224757311214,0.46751534616952484,0.7850499826062354,1.5250166719739857,0.9784876357082513,0.6352116251824043,0.4959628741678225,0.49905261833665227,0.4895523868016779,0.5060067250909019,0.4257862815300183,0.45146042793710484,0.43638678682785265,0.4327716764585714,0.47558701340689025,0.673705172270472,0.5653726982897636,0.7209020435820089,0.7643641147133854,0.7470509388370294,0.5699916097506909,0.47649734044594066,0.4528206296705901,0.43399649540169555,0.4365829761884747,0.4943712379552885,0.5109068860634539,0.703002620010905,0.48882170682474807,0.5535153766961133,0.42157171797890486,0.463971116912394,0.4426826212396416,0.46833613500184285,0.4819762312319808,0.6814195937348538,0.7063589655642689,0.8159996729965279,1.1125696449425757,0.969200675752228,1.2004433628582274,1.0858026466187263,0.800790301813553,0.6747848677470903,0.5783198822214981,0.5618192598231512,0.5718009892384633,0.5560543933864601,0.5786707500678455,0.6356380906731045,0.6047702646422176,0.6320784638439564,0.588500309526644,0.604383161842585,0.6477701390334515,0.6346690079784842,0.7404606617144556,0.6720761478843649,0.7201332402893319,0.6645468114401188,0.7346741354111598,0.7780440647881327,0.7733441385116491,0.8325179648847199,0.8883320974144583,0.8493207468121079,0.9370944807898873,0.8940837242510851,0.7923240296644215,0.8277057700604232,0.9044815627392816,2.120748361534089,1.313638026591327,1.6530576213909625,0.8325800449865243,0.8940602616272465,0.9332102564340096,0.8753412493147096,0.8137432680520906,0.68908129509001,0.8851146145131309,0.7480132929901955,0.8986736154255346,0.7415337933948665,0.9914698360248084,0.855757735141998,0.7996629510239025,0.9825309980490784,0.6737740739458771,0.6379919201835629,0.6961177348412213,0.8438287697081405,0.9526774744776413,1.1247717838332991,1.0418311929760662,0.910821042809571,0.9091527042046951,1.0739095255822726,0.9675726539113676,0.7882743841931337,0.975909265444696,1.0251453925636314,0.7843234350867085,0.9138006877013761,1.1262372218549273,1.0488158170515296,0.9210855169709007,1.025162895057031,0.901962108449136,0.8798941435218235,0.8079990659781836,0.8089864988079809,0.8385167953623333,0.7543319046475662,0.7409327963291643,0.746115004630224,0.7559464695567455,0.6802047532996811,0.7231914981326458,0.8452687375054999,0.7380924403081283,0.7599883742033481,0.801202788711181,1.0417175334819622,0.9036182808503521,0.9331962566107738,1.0484793565956396,1.1697249319678953,1.2771821005835355,0.9850889760605875,0.8120109019291206,0.761826674022746,1.0074275850093035,1.002966844954854,1.0728134733293464,1.0321378359872777,0.8250729194032629,0.7172817955667163,0.5629938235715706,0.5204350279115315,0.6759527267886983,0.5982764265487391,0.6150092704317409,1.3445798333794805,0.5695269641465094,0.6299939166044252,0.7019869053978092,0.8686549992112692,0.5354535271903024,0.7838595123810179,0.7955648742594891,1.500061541213676,2.458149498410598,3.3484601970560965],[0.9631824537981821,0.7787268943631246,0.845231700489,0.5274471893356364,0.5864586439656269,0.545924235967289,0.4587130509011961,0.5046544103031234,0.4404900408093165,0.434041843295331,0.45534391996196294,0.508335993669263,0.4479911759470286,0.4645243507201508,0.5770140603931111,0.5380986977491201,0.5443888441672652,0.5700704463817314,0.5982793012225065,0.5687600757566498,0.6713760796860201,0.6682195822253119,0.792363236168815,0.9185734330190537,0.9422775680802431,0.7479722366250829,0.5352075584409283,0.4829336107970665,0.5132532410905453,0.5344675752359773,0.6388665588654061,0.5907729089715389,0.6585737058604593,0.6671375155543398,0.6054885383285564,0.5572514803427824,0.5472449799846933,0.510011076770568,0.4700311818433751,0.4906131504620253,0.5935130009311429,0.5772006832833038,0.5800577612837534,0.646810756875005,0.9215845530688909,1.3967576447753076,1.2555009598228482,0.7696449237950374,1.2921296762484795,1.380452608272192,0.7514552510903579,2.3257173361699133,1.0331934152964914,0.9477664140462392,1.5854611757189292,0.8804864132813864,1.0347673439653622,0.7893935499287291,0.876361604912996,1.3042803777868353,0.9806875271172006,1.1369908355814862,1.3578973895136162,1.1658576158104528,0.733245262997844,0.7390313500336806,0.8976018277995697,0.6892650778463743,0.9401559409954986,0.7335763194451355,0.9201184143529586,1.2277631200969834,0.8843494081510144,1.0466520007119164,0.7702538724911119,1.3982735319569837,0.7062066898951879,0.6901380772052712,0.6307105714740311,0.6718291598731203,0.5897460359023463,0.6203133840327936,1.141483433355061,0.5893477574739281,0.527373124504305,0.5142019401435793,0.5239278403703633,0.6576378847997166,0.5683498489854788,0.6867687919873147,0.6765346320010033,0.8327515155618717,0.7736714484616593,0.6807655982010046,0.6372437046184942,0.7159001955359178,0.7040635403179829,0.6372942615024959,0.6375814271246073,0.9063102539177504,0.6492491607603875,0.7091414525927129,0.6239674791538959,0.684124456407027,0.6623319492969443,0.6607671286187756,0.9165008751978184,0.6403250028144757,0.6674104860874619,0.838674929811796,0.5964688007178104,0.49436974386216814,0.4502371058142552,0.4763718535937431,0.43225564655565624,0.4438281302660133,0.49052255335276895,0.49038264606529974,0.6468643679030603,0.6460279304462677,0.591793544557886,0.559134852906671,0.4586645667782432,0.44025519702823446,0.461639033153466,0.5003612143019295,0.5401126786299456,0.5052464395336969,0.5242782344765311,0.5407542593719084,0.5671810571999577,0.6617616687958621,0.5329994399796999,0.5860003741103368,0.4983744722511408,0.5619272896599169,0.699778310187317,0.49095302533872626,0.4717898549625535,0.4546123297943875,0.5947379496376973,0.6214379004923196,0.5310865048197397,0.4738145626996088,0.4632020153263697,0.46187245751091727,0.4251925154243134,0.4486697871167029,0.4539622297110425,0.4834167134254221,0.5843075309952018,0.560972004205798,0.8082518300631493,1.4348261302311571,0.9886033811021567,0.6963085910159496,0.5740061050663265,0.5952640346680355,0.5382795249874807,0.5666118323547007,0.4755791752220315,0.4799327240379843,0.45210754216831345,0.44897866833945255,0.4870096103541687,0.6952832864696962,0.5758736407826072,0.7257693266797105,0.7671270976982589,0.7432551999107068,0.5827775775685957,0.48531921479900864,0.4737299066404759,0.468093841584814,0.46735065887884647,0.5433525817604925,0.5339858326127696,0.7366884076715061,0.5266275799279592,0.5757954318457051,0.46171953248288206,0.5335325289665839,0.5200571583922787,0.5440576940878754,0.5609614399876858,0.7425146502273053,0.7656492829503606,0.818747227833142,1.0732257926200457,0.9817888456630569,1.1686296018282223,1.0797998132845574,0.7964233964276546,0.6990125576304866,0.6344126804338407,0.6374108067479843,0.6298723075194251,0.6548761088886619,0.6693368209858013,0.757758742593342,0.7317727575010612,0.7758972936135966,0.719361822804351,0.7252320070300485,0.7823192142073363,0.7727483203755198,0.8221915906056572,0.7813099289890089,0.8595818438234637,0.7871288094979473,0.8341819355640782,0.9007100819836978,0.899326063836237,0.9137916798154851,0.9795458198816016,0.9352339017480648,1.049518957070442,0.9805791477657311,0.8841592135195827,0.945296915301824,1.0187174456886103,2.06896790230689,1.4519501204102794,1.7634158790328873,0.9757453121290147,1.0201933231470757,1.0439244637058473,0.9627786264359501,0.9490732888423359,0.809484779845461,0.9413452714867737,0.830607159417585,0.9945752149846688,0.8295827131525004,1.0034338016307587,1.0222221925564452,0.9536497433649425,1.0534841877120542,0.7933895335930724,0.7670444664986603,0.8054169512633892,0.9498622121756308,1.0396613660220357,1.2525644752824416,1.1400276063226427,1.0260015058259533,1.0511749907180015,1.1788955882326082,1.1033091868125866,0.9396873066208752,1.1236290884232303,1.1771096517019215,0.9376820456314983,1.0684857534700551,1.2604521724120126,1.1867773233440246,1.048741160942784,1.1449960546706885,1.0366780214722,1.0151480680760394,0.9537049137864629,0.9515717271800621,0.9484385778796968,0.8708430388467278,0.8592262869998921,0.8669189796542283,0.872758535656764,0.8066066181586802,0.8646899512432207,0.9499969109823777,0.8389913366853432,0.8954365723844979,0.9040201167023983,1.1493590493664543,0.9901979266701908,0.9993751911183739,1.121692206194364,1.211819144577131,1.3393528283994942,1.063926666842659,0.8794031035872472,0.8407509544206824,1.075906984961898,1.0843008552316669,1.1496616387452507,1.0986036481484294,0.9119777588313934,0.8005913652666563,0.6676408928902728,0.607082123920964,0.8007687932308845,0.7213582235697947,0.7305146040081602,1.3046572517927533,0.6821607166961008,0.7509061468099567,0.8154790836437397,0.8663293779733122,0.6149039123526017,0.8999878403541712,0.8202673740279477,1.526482417238425,2.5030077296741178,3.2102901977296905],[0.9845916425894385,0.9164608433388952,0.9301915864384878,0.9055900250670437,0.9750421162431918,0.9527018746137492,0.9990972849899252,1.0207060214576948,1.0797692518618165,1.136652272480828,1.1887548617729975,1.1632679251105102,1.1827327336223694,1.2537701999538036,1.3063338736467447,1.2838637160463462,1.3112549125894242,1.342293977699685,1.3612553433819712,1.3423488089104263,1.4162555622337352,1.4070325774736636,1.403965188649187,1.476490141216986,1.4999996501314579,1.3731783188058075,1.2910784668283604,1.2761176374976606,1.2903640193393786,1.2647190061304574,1.3579300464506832,1.2593687820738892,1.311404785065915,1.3163602850474638,1.31846409680718,1.3394461329043739,1.2568470522966355,1.2846525403318738,1.246493086314011,1.2314945938402606,1.286962663215155,1.3013239790365876,1.3140208976659755,1.2807759578938607,1.4059591755412515,1.789121779365786,1.725981306974109,1.3765635391301583,1.807513142022987,1.8860927927230409,1.443935599054826,2.7940975326461555,1.6558044743525708,1.481714792416088,1.7622620265570346,1.291691528450425,1.40660519415417,1.4433881624930602,1.5186506757563891,1.685181564459938,1.6537620539043434,1.7439970388403727,2.0026061654490133,1.8585575555235698,1.4077384298362932,1.49033902883633,1.6396411282566672,1.4484504319387794,1.5511099215279718,1.4873942846529007,1.5234469162841517,1.6533320358120107,1.5511249910575724,1.6835803550432964,1.4325327248941715,1.862556892921614,1.411872385169394,1.3817617989184705,1.361267698243559,1.377887282388605,1.2959649062862015,1.2680188664690848,1.5620754128594252,1.258114944633961,1.2454605656992412,1.2140755883659136,1.2768899978846044,1.3077029598086642,1.3484016261755445,1.351466645715268,1.3688491415505764,1.4815031407243398,1.4537600086927576,1.3737307301504253,1.3370809713251803,1.3862337283675499,1.3622195809816073,1.2777607786484164,1.1990286525231286,1.2248623575342032,1.1730712342431031,1.0768100975143606,1.1155449288486572,1.0602384662407085,1.0888914824470015,1.0897030207565006,1.2012603375259925,1.0107819652940113,1.0143300971401237,1.1809047888537823,1.0103561430140415,1.0406503024569809,1.0324738771227748,1.101224820511651,1.187073004077033,1.1744805924008592,1.2539378052058963,1.2527918396211075,1.39458736122063,1.3945237674700481,1.375317854818558,1.3206699075908337,1.2150792431549422,1.15838473594048,1.1099157500958647,1.0548901651816163,1.0028635328964466,1.0484243878130497,1.0020793757325057,1.0652693679978809,0.9995748438728211,1.0120745603161916,1.039085958228076,1.1547563652075086,1.096116004576952,1.2087369309601392,1.112450964098301,1.1157482596189037,1.127648824886507,1.1436741057651982,1.193599733618931,1.201667427180593,1.3032317580575634,1.24182454223504,1.269060643863938,1.2533553080531061,1.208835336641076,1.1770447568221165,1.1083577921492076,1.0784158785784463,1.0434406340637887,1.0541708655430388,1.2151012710409366,1.8011020778974967,1.3276070497755301,1.0791959293391864,1.0793187961709108,1.0410047549682957,1.1280883452484405,1.0697443658302133,1.1142635745408478,1.2010431055520905,1.1739168223791885,1.1937989406673475,1.193059268482418,1.2931670634162191,1.141877870942075,1.1789229631607387,1.2219745532640909,1.1893897850785828,1.1213051708084194,1.1414804258903029,1.166949528845584,1.1467607873456225,1.1601594857695992,1.1551056575969914,1.1939083834891235,1.2374427376190114,1.198946157498654,1.1601427483385924,1.1390756423999815,1.1023720948552103,1.0925493521028171,1.0813336815459615,1.099525523615196,1.153568694794437,1.1881864691303785,1.276612762486336,1.503368701692524,1.2985733777532635,1.4269197710795487,1.483560169392944,1.2931626781975871,1.1940351435426233,1.0998393065760137,1.0401192163216861,1.0397761604645837,1.0075190873002022,1.005570151782576,1.0165828647604762,0.9548410855559328,0.9659052335051681,0.9647072599079759,0.9411060682506313,0.9385049197705416,0.9399033823321852,1.0367758992810825,0.9623981802226366,0.9578028024754015,0.939234084137055,0.9837630531141098,1.005623554829975,1.0043569408182247,1.0290387833712147,1.0871437269390936,1.0989668408939193,1.1657204241182593,1.1640028662679665,1.0433137958569563,1.0499099872583089,1.1239030161115202,1.9657158316397965,1.4919333641392816,1.8272934273315689,1.0819672293698859,1.0742084998737098,1.1245816257763823,1.0869220651155618,1.052581894925437,0.9848040574923838,1.1293758828452596,1.0857770152923143,1.2145300494546583,1.056597030063904,1.1709942207352355,1.2263222493308747,1.1281899462195573,1.2661177518889435,1.0101789252057551,1.0056411716340463,1.0373484882603872,1.098760428444439,1.1764849505287507,1.2491375513786858,1.2132324380333193,1.1418909066292016,1.0493046200274867,1.162418298452779,1.1434791432705753,1.0086275202859096,1.134954569468673,1.197028849964069,1.0014305925703568,1.0729806047805153,1.259367229667237,1.2377202571842338,1.0941619470145716,1.1507105927973094,1.0748478315099352,1.0497014158743025,0.9921942357976488,1.0030622533965965,1.0315965104318852,1.0098730018021724,1.0018919033000226,0.9993278050814273,0.9985528043648079,0.9731099418159423,0.9994420346690331,1.1076263466982148,1.0221085703444996,1.0913149079948232,1.115008393724885,1.3118831003708238,1.199512985774165,1.180210164656549,1.3373523907304292,1.413564046142279,1.5059733729252238,1.2334916284902007,1.0706556891943828,1.0173873157273945,1.1843219880205744,1.2226802064469204,1.2938818724775376,1.2621790289687516,1.127489548686388,1.0406934891814263,0.9788593205121151,0.9717729765505058,0.9846374582858519,0.9837203540342386,0.9781793588436312,1.6026808353683415,0.978004911260981,0.9241632587586517,0.9384901210494545,1.1407089032070257,0.8797559952083032,0.9592542403345571,1.0229109309885682,1.822440377124002,2.5456886084567913,3.2868907578358653],[0.9998240894900065,0.8687062943496157,0.9279810829045927,0.5561686693254622,0.6033271849496892,0.5477834813319479,0.3866750026891916,0.44858473003758015,0.3779906014691474,0.4007510288333082,0.4494496924174829,0.47946370866026317,0.4183068395666785,0.505466220121209,0.6029368472059916,0.5489203215391681,0.5900024116608173,0.6517245881556136,0.7527023129781489,0.6555247652341882,0.7644175024698457,0.7301828940072391,0.8904756633280848,1.0106468595544418,1.0824093046448968,0.8693921719582685,0.6209721045368133,0.563485512993913,0.5493637519252411,0.5058287427916962,0.6767584463636668,0.5593127544953125,0.6270355837506828,0.6626475004985646,0.5789136844676815,0.5769342074622212,0.5046995646497027,0.5464209576568603,0.4981567865397926,0.5105107619501859,0.6446589149771231,0.6254686729976098,0.6237256285893368,0.7362675041205714,0.9814710041659908,1.4781498929114525,1.3783506186615677,0.8097509310094017,1.287390238681886,1.4736477640471988,0.8444286683672291,2.2146460459463153,0.9343004989025593,0.8810489167319817,1.615485241025037,0.8982788612576345,1.047079685036865,0.7972172298424898,0.8545879779627379,1.3757982922257574,0.9263052273220417,1.0778178752923402,1.2888276690202636,1.1871298491977016,0.8209221332627847,0.7897455509731598,0.9631685847397029,0.8006946913548447,1.0273744411224635,0.8678013302946388,1.0353459475571387,1.3384121336907953,1.0608804095514754,1.183586546430668,0.8835968548046761,1.4763844762537224,0.7829623385511606,0.7543827915054486,0.6668444583216796,0.7051955095822626,0.5522232408840935,0.5915131162493457,1.0438129470479747,0.5261508259372197,0.5249879986446532,0.44184986696376755,0.5306859471953889,0.6025158663557143,0.5900036310384462,0.6788320316456098,0.7251351745658278,0.9131111087935077,0.8633463503610217,0.7382264234101338,0.6773968180525893,0.7709720478035261,0.7279581148729469,0.628609009799925,0.6040884802274764,0.7992712549494294,0.574033099337096,0.6097501457322906,0.4915465102014625,0.59118401304532,0.5752873430845424,0.5900784596883162,0.8701725040725005,0.6434628561334043,0.6824573574220013,0.8353198447281124,0.5914904917137329,0.4353685163322307,0.3791638593979142,0.4000739437193999,0.405600808482533,0.4388709787802251,0.5423080935268116,0.5632360958360492,0.8031605065341528,0.7402907606491956,0.7134100025505545,0.6123556712285346,0.5154815855343752,0.41364957277410175,0.38602509237118743,0.41423539270589005,0.48674197874179725,0.4729594374185122,0.5161713918390102,0.5140894634110618,0.5753300616696727,0.6654005165767152,0.5254719358289521,0.5739014272685667,0.4420713298089861,0.53411001234085,0.6804381028576876,0.43454938435843443,0.4060936021920386,0.41089679908855875,0.5842390667649562,0.679381492516715,0.6304283480754348,0.5120198640266574,0.5022494440529227,0.479652876669167,0.4170440771396356,0.410398381064692,0.36835613559675073,0.40868046338635394,0.49762328369874864,0.4509716834769592,0.7153875374570494,1.396282712729189,0.9358415686937852,0.5824072337371313,0.4778142745017403,0.4921256333025381,0.42593394712216004,0.47928874394032456,0.40228219489521827,0.4185438692535928,0.41117478998036994,0.4154380550415617,0.4448230100208797,0.6889934642400466,0.5665339318923152,0.772003105586395,0.777175008838613,0.7534035641272503,0.5683316594499547,0.42996240340031217,0.40324205162396903,0.41741417518347157,0.39682400074865504,0.43374754918711617,0.4606813154586307,0.6286772621251933,0.45534021225772753,0.4604976823844396,0.4202901553460151,0.43936380114491574,0.43008678667432565,0.48161759590319475,0.5092327387030359,0.7224048061724808,0.7978822301772285,0.909170829272244,1.130279844147739,1.0855438374741835,1.1989133539750478,0.9629774167257413,0.7658570284643396,0.6484446211985908,0.6701636162977572,0.7126455197658863,0.6677535604279006,0.7048197269999525,0.7589955947134354,0.8039989931058985,0.8327860537128289,0.8435813017767113,0.7838273699035647,0.853329262827929,0.9274106803859401,0.8980293108014559,0.954509329351885,0.9794483482879405,1.0490693977286738,0.9783515976621602,1.0506314349986199,1.159306021202515,1.1544408224323914,1.1415299172340516,1.249491870014657,1.1903929465739684,1.3428228527813504,1.2333269134219347,1.1244686753609499,1.218854266739804,1.2827136957329104,2.041404493724896,1.6981384718185664,1.9280611508526984,1.1599510495249097,1.1299809276908233,1.1038174581128757,1.0266852696371824,1.0955404745262418,0.9511242965323496,1.035510400340436,0.9773708422043,1.1401512223263748,0.9616220969138212,1.066007043441678,1.1732824367765224,1.0564656349688708,1.1211987131605283,0.9017848977254191,0.8002928497114687,0.8746446797003447,1.01995976198297,1.069276259943177,1.2670042762794835,1.1239697563072988,1.0364822084243293,1.1007878140275984,1.1576439043667994,1.1199147369654585,1.021139717557944,1.2054225776589995,1.2592684160997336,1.079894607554603,1.2332669898364559,1.4224875330660787,1.3971144192446847,1.278361128256783,1.3636319687061897,1.2617526682957902,1.2204796937353115,1.1106084140522248,1.1260103297703135,1.1975035756516408,1.103568931828775,1.0574412346881672,1.0922894060393618,1.0868456643285869,0.9831600202246897,1.0615716410831946,1.1665610810142066,1.0212962783138475,1.0464146461018635,1.0756842469459025,1.2982418395797346,1.135190636334389,1.134783211416715,1.2765481064056063,1.331041863860276,1.5457352044066546,1.222877473222217,1.0471882450311802,0.9806856747929648,1.1611758576309812,1.1755087430255367,1.2387597074140755,1.1620365569493865,1.025612926752511,0.8628079840677075,0.7277843135421914,0.6266560649028542,0.8740508823972135,0.7865404993071197,0.8086557459301781,1.2761986089714072,0.7151804943504169,0.844758904120173,0.8962746995710084,0.8454518079555957,0.6687726716433205,1.0240290382544777,0.8298226917305029,1.4883243651850815,2.3098894683459132,2.924885867048383],[0.8980341287353083,0.7573335635355835,0.8744601966566362,0.5041722122262197,0.6129742089664998,0.5902154019797772,0.4761596783569611,0.5400928618177447,0.4662808278886456,0.44862752299975744,0.4643572643515934,0.5296243364056535,0.4442194584949395,0.45715411430049707,0.516754078138482,0.49424221389228457,0.5016571062786557,0.5328863210426913,0.5247443516633821,0.5120957861171215,0.6009956170496585,0.6285806188785203,0.6994815235091585,0.8342039232156261,0.9433589288479195,0.6750710912579106,0.49982774374223227,0.442963691804004,0.46333856952134833,0.4816457815116037,0.5821647520977228,0.5561827578402424,0.605238142307344,0.6040773918683668,0.5392631446529703,0.5002392920697118,0.5309340902969852,0.5052300908096962,0.4498470829308912,0.47186148501988556,0.6014323929408913,0.5855107315171759,0.6011979753490813,0.6990022246762267,0.9534482347776575,1.4174162080687984,1.296625262647331,0.7547620386101723,1.1669629048258339,1.395456551408174,0.7364960647057321,2.15711519442167,0.8520063719919821,0.8618067060704466,1.7371866788278247,1.0146743462208885,1.168188007849113,0.7890322960097794,0.862615678509171,1.476481089927135,0.8610947816454326,0.9947094774576579,1.175549662798271,1.0039434788324846,0.6865112433732798,0.6690917489958861,0.8311331902763742,0.6415422566955064,0.8721232373370942,0.6967986640329311,0.8822111438208649,1.1192564473445923,0.8440380340639816,0.9845779685728347,0.7075564781859834,1.2683605055979434,0.6446693531694856,0.6240126701690354,0.5687594514998123,0.5911396861014938,0.5470463614005263,0.6480522041043566,1.0517238119650367,0.57658962962727,0.5141703581406185,0.49277196030971343,0.522541155292836,0.6508340192250742,0.503656481664353,0.6132231680525364,0.6087801136027677,0.7554332285741655,0.7131483551365335,0.6253533290417032,0.5910925731798322,0.6770978774681357,0.6582643618298173,0.6140871587135723,0.6256026475463068,0.8700358854393507,0.6295145686618341,0.7026331721989043,0.6018229685084584,0.7058458045141874,0.6841286988197395,0.6870719411682942,0.9634256296632543,0.6847568230061459,0.7133265371743919,0.8938018281313511,0.6562178371675675,0.5394689555795864,0.4770273103282575,0.48032935410767585,0.40693903983842583,0.41807437299247935,0.4806467649446634,0.44205581627685747,0.5973275550547471,0.5839421483278139,0.5370800426811363,0.5146795727989747,0.4419355141950284,0.4084901837170016,0.44217903937080394,0.48870522257335536,0.5675368323651945,0.5361152827771087,0.5721688373074144,0.5899729734512927,0.6064718600588335,0.7197725600934541,0.5819624572928462,0.6456677197047826,0.5061149262439131,0.5567869666338465,0.712184264658028,0.47291565099679506,0.40860201257625434,0.3820945744826274,0.5267207045240356,0.6207367895269876,0.5148332332327116,0.42093757814571064,0.4439273215075435,0.43956497671683,0.3979741175798014,0.43138310213358244,0.44963004583347416,0.48504998175127034,0.5746501206698136,0.5544969112877515,0.7763446750740323,1.3768126315826876,0.9857060856535331,0.6918366294231857,0.5622412676534309,0.6079502698440594,0.49329105558765984,0.5752950505897533,0.47113285809183114,0.4325577364617682,0.41073843556517015,0.4087303769900722,0.45956365676784877,0.6353757423957527,0.5448461527254178,0.7167797709432263,0.7472483306224177,0.7216714955439097,0.5629790848866097,0.4640794492971672,0.445880433033124,0.46443038671243503,0.4609290029637141,0.518267437384588,0.5294770739629386,0.7284361366631884,0.5229049735317857,0.5831307615685868,0.4626087165304131,0.5399328793214312,0.5208014296493607,0.550819727169024,0.5538649009603355,0.740648956262907,0.779094629882088,0.8480586294211424,1.0051283733626264,1.0967907051721344,1.1742679968708698,0.9763956695920739,0.7702445692322271,0.6780410336715693,0.7001551423612798,0.7083447719327501,0.6764403037180652,0.6932215129822019,0.7171775452559835,0.7947113826741801,0.7712335892549876,0.8023896387720009,0.7549925098107894,0.7633240557392252,0.8158637634170162,0.8091962313066831,0.8312174285942153,0.8157421675699614,0.8925551419660656,0.8207236589026113,0.8527747762690313,0.9251026516826995,0.9484010399389574,0.9248849218771997,0.9861650002816427,0.9379724876293561,1.0646741088934943,0.9641408694713095,0.8931348237036909,0.9588310013991648,1.039771821086341,1.9664178371412628,1.4598035300704075,1.7324303888955435,0.9747395241000891,0.9940224269239549,1.0447782920261544,0.9638645829595848,0.9721138736917471,0.8435384434652974,0.9919000616149608,0.8570841558867095,1.008858240754214,0.8820298702405682,1.0339739962770098,1.0388761083889673,0.9150460539841485,1.0196870799619462,0.8086030416998581,0.7789386430343967,0.8342295881988764,0.9583244551572216,1.0390674338167907,1.2260979999294308,1.1102358734668678,1.0235940417159075,1.0370732048704134,1.1219670694366684,1.094196149282315,0.9481438821073385,1.1137622500152498,1.1788806207159772,0.9649700956619134,1.0846195249625452,1.2724394285237628,1.2338739314870988,1.0700121631103348,1.1450366678202006,1.0504017235168865,1.0314871181864416,0.9734469792230882,0.9654551466787411,0.9858674026202471,0.918145023780186,0.9025365686728278,0.8933597039838217,0.8889200770808842,0.825244858675214,0.8765380632116685,0.9636469622067727,0.8351893032762235,0.8797548007677756,0.886859134439063,1.1331957354634712,0.9629510031767212,0.9725143669366827,1.0724862278952894,1.1658749788743006,1.3411590493939298,1.0296390044529562,0.86016861883602,0.8399456891220817,1.0451815714290682,1.0670619252061044,1.1346335117092445,1.074447655195878,0.9182438078790404,0.8210788961939607,0.7037834199326667,0.6420157634409841,0.8588663025897101,0.8010329360478604,0.7788517987293664,1.2726993935565245,0.7391838839594921,0.7935005778119937,0.8501019162023006,0.8591326843163737,0.6385962417343303,0.9107214693252027,0.7414283063134623,1.447443139910706,2.314952671691534,2.8862532943335815],[0.8593884234872946,0.6506108730168705,0.6802672753033274,0.42222870676739477,0.49002439496322786,0.44704290961751336,0.3183785597445889,0.3616891645987993,0.31051194967208606,0.32991160024833205,0.35775237128742465,0.4263488206064796,0.342333872197478,0.38696424359211246,0.47800748672194415,0.4416333049197258,0.45452870800888584,0.48696822964047076,0.5142865072111601,0.481506534868226,0.5859863913030068,0.5915642449402507,0.7093480970030038,0.8454074074100573,0.9119233519052631,0.6794760484472587,0.4657539917831273,0.39886687554094724,0.4128548500222831,0.43211762648491575,0.5435202700981926,0.4911190909101068,0.5610921087177073,0.5629051253632309,0.49704304153745743,0.4626488923335504,0.4519679052352508,0.43863953036961173,0.3868160778919689,0.40515615571948876,0.5434494760014403,0.5249884834086875,0.5312621885082673,0.6233596613143974,0.8876637157318968,1.3627208541443518,1.2298274809893988,0.7252354647789175,1.2389776265484855,1.3623448607312683,0.7116992626152973,2.2841118116465133,0.9532127137926173,0.8646622798733411,1.5711218337010113,0.8807044413050206,1.0629470190310109,0.7578278481623527,0.8333217983779868,1.3638861432380744,0.9063300300911769,1.0541970111433603,1.267898041165765,1.0501580114803004,0.6614074824062708,0.6784465994821897,0.8437796720208391,0.6234740012773522,0.8634872540543088,0.6800821882074173,0.8668458734704942,1.1622520607600382,0.8438570606825094,0.9874349033924129,0.698361180469077,1.3215130436595113,0.6307541797857179,0.5926988452717563,0.5325590734991394,0.586485287878737,0.4925981672196094,0.5695178128369632,1.0598508386107142,0.4992862746726079,0.4597082953355395,0.40607764988652756,0.4413540355008064,0.5862923283568888,0.4709643498243953,0.5867339467771401,0.5831274273553951,0.7451779679863821,0.6792288009202558,0.5904543750682909,0.5424481104642426,0.636798399297886,0.6148984106410242,0.5501376723055421,0.5459677841986242,0.7910994242651402,0.5333096319777682,0.5893258965088228,0.47493881299196816,0.5396257130506729,0.5322810512218893,0.5291766156646504,0.8011400994462896,0.5117730744899819,0.5420255580451091,0.7372556778550492,0.4738825055126345,0.3627677312222993,0.31074889450823023,0.3594682791812924,0.32963999679937256,0.35084755028594417,0.4239376173591264,0.41621494082181015,0.5925465498532175,0.5698519573205122,0.5304755065159038,0.4783022456144828,0.39434312651594694,0.3607951276709419,0.3553170154775232,0.400789004094925,0.4118954221490614,0.403790969298897,0.41964170744315504,0.43545541629004664,0.4620689820029008,0.5481126765788928,0.43517368866287626,0.4926010442923992,0.4037449320746701,0.4959579942319715,0.6701958904456632,0.4049965652389622,0.392794296776958,0.3623698095560467,0.5184550570924975,0.5769436172771253,0.47734224528130825,0.39728403208680446,0.3965607350950529,0.37331872235619556,0.32306849574789775,0.3286982433946082,0.3282874382528457,0.3622014966039796,0.4425813113721362,0.41446104528663996,0.6922102534298039,1.4168465145284077,0.9297918214238167,0.5640355915967781,0.4339386818057279,0.45082623718062237,0.3924667799173719,0.43750568149838676,0.36662858778769447,0.35774452301127124,0.3501700478485488,0.35560490004772666,0.40048047917886964,0.6429853141960649,0.5026216188531903,0.681245496235625,0.7282289026777823,0.6975265166604251,0.5175300911809809,0.4055308655225444,0.38387269984234407,0.3623685746923183,0.34144356099903767,0.419852484675734,0.4424735008190929,0.6582447162614771,0.4195747611054491,0.47439928219115096,0.35410555795202703,0.4004275728266763,0.3852561060021526,0.42686661040455104,0.44619161959599485,0.6540085582435452,0.6885098278339765,0.798714536784077,1.0230592358040778,0.9938534367669185,1.1501309960313009,0.9862667557578085,0.743879884080727,0.6333594275148906,0.5796592029189969,0.5725112089971875,0.5682351109969817,0.5471200916776724,0.5792602088714928,0.6471868592716252,0.5921515165699349,0.6152518674775311,0.5784792473881671,0.5953556407222534,0.6243090959767266,0.621841107636996,0.7336639921501358,0.6478329201550908,0.6908530820716785,0.6458203868805313,0.7060625111104119,0.7416102192085651,0.7508031213093243,0.8002937879376584,0.8461144565584099,0.8137851436140574,0.9098890053691607,0.8631562143873499,0.7586829887405433,0.7933124082588454,0.8613673959113304,1.9656542246874968,1.2628496929363056,1.6540829231269043,0.810002796674277,0.8389866403793032,0.8809902300638808,0.8177325396954617,0.8021401289608354,0.6681672378841538,0.8377301197397355,0.7338174737790946,0.908506828547848,0.7310669315635407,0.9386527115456826,0.9148725063992972,0.8366584515121193,0.9741237266043208,0.6732074050183313,0.62727941211067,0.6761616044433634,0.806793688926369,0.888500909878295,1.0602572743190344,0.9760408777864258,0.8689898616835118,0.8451591580620806,0.989466114765022,0.9137015656793243,0.7400279592543187,0.9080263403035489,0.9757888809452784,0.7509083427414324,0.863324843794813,1.065428014847394,1.0346452108913433,0.8828105849011043,0.9594907785279335,0.8591886376828093,0.8325862342886516,0.7623017088531125,0.7603258359514952,0.7807791117739855,0.7221407983883709,0.7065156340133002,0.7115756585304174,0.7290019731086321,0.65761400397562,0.7021362108821083,0.8469356628139668,0.727929658455558,0.7717147201483502,0.8027600872877835,1.0522879987305258,0.9033150873450174,0.9130112872935834,1.0333146321401028,1.154420726040785,1.251961719108574,0.9602658287511324,0.7867431962975127,0.7423647415664811,0.9752675351409873,0.9989186131248268,1.0704105009915743,1.030782519119511,0.8305719211042043,0.7177319533250317,0.5622502675311737,0.5004188867746144,0.6827630714018329,0.5871676548676185,0.5797164405587495,1.2736074860932558,0.5360073112666978,0.5886064802645831,0.6386237081876466,0.7676771719856637,0.4825982789338509,0.728535487269422,0.7160867049841515,1.5193019049682712,2.350135500248222,3.0830159621884645],[0.9380258121597596,0.6796355549747046,0.7105377404396255,0.3996277848029689,0.4648082281947469,0.4303769495647587,0.31383262475243706,0.3754538701155622,0.30094211723683945,0.303136714380288,0.3375019145759941,0.41934002560287076,0.33252051353356954,0.3497135002719923,0.4813550226043453,0.43759013931724394,0.43685866490920455,0.4662012740345499,0.513133884108934,0.4675901389237736,0.5468979129967647,0.5450054829333065,0.6991024288847365,0.8203926346185099,0.8932482813980062,0.6910655676034044,0.44600320279092825,0.3975608983928957,0.40438613898678943,0.4403157715168384,0.5351052146764342,0.5123628873303449,0.5834315553865128,0.5891629545987556,0.5166600813154593,0.4539320189184239,0.4677075642976948,0.4114050936763049,0.38282284637733155,0.4065231362501369,0.5326951961781149,0.48949793511910283,0.49395574606403625,0.5754251192842054,0.8326462860476419,1.3241726778195912,1.1412529065018753,0.684721182474723,1.2954681388477187,1.3522289067268631,0.723257470015218,2.3790136592339803,1.0365159424452335,0.8778855147870395,1.5075500801869404,0.8504010876438223,1.035362403233158,0.7396679946120124,0.853476252435574,1.2810092340659964,0.936675655671674,1.1330926364451324,1.338832368022468,1.0797489643526954,0.6357720343018447,0.6445316029580477,0.80845598390684,0.6070259160249807,0.8674894796952933,0.6571093777629734,0.8751434081772306,1.239183478675265,0.8426331355679414,0.9640052809774873,0.7032648838616521,1.3522341543032108,0.6289524562910577,0.610707515475946,0.556831678992361,0.6092073912094784,0.5175633924104872,0.5488340476869559,1.1043221462468509,0.5238884430445978,0.45085742860976347,0.4061720149260345,0.42601826249844377,0.6002154376569566,0.4696581286976954,0.6155515058585352,0.6010390416653715,0.7417096207988612,0.6786222277767108,0.606592751309031,0.550976386844046,0.6384629589067284,0.6248433536556083,0.5605807998991005,0.5641835056807891,0.8443176509917818,0.5668693435599501,0.6168254247390677,0.5089720877301297,0.571939705614951,0.5596638243263505,0.543223390033123,0.8441091239938864,0.5080884261572197,0.542351048275049,0.7241592305786678,0.4587502949161907,0.34004519030591396,0.3034296817737245,0.3416196851748687,0.3317557212494573,0.3588431808972914,0.4192250272362596,0.4031413996759444,0.5808011151530798,0.5675777629258474,0.5125787748193316,0.45875489913243145,0.3708137725190894,0.3523916598198064,0.335726039007695,0.3909318891185089,0.39933328443110827,0.38326950947323535,0.3903079904067126,0.41356735695195207,0.4265442613303872,0.519920061611255,0.39784361682094155,0.5061190406524491,0.38478420622973825,0.4699643868900482,0.6504684885784269,0.3818272798961354,0.3957680681595223,0.36634183950742766,0.5038137943764394,0.5172808698290259,0.4451619120919365,0.39907916937713306,0.37993963272473696,0.37834276180881243,0.33021798654693324,0.34919079796406044,0.33189886393824997,0.3668005112721652,0.44940854756997156,0.44257008468320436,0.7559831295988434,1.4458690574544488,0.9234312216167129,0.6204590918948253,0.46639235298446124,0.47665523703147117,0.42514917802947716,0.4800611062660136,0.3537817640895445,0.3772276238451427,0.35513281599932334,0.3630277671667434,0.37371684042746234,0.644334609805514,0.4790456599306095,0.6512092432878747,0.7060649301920527,0.6818542815263896,0.49998773197095364,0.38915769861005034,0.3668697655155536,0.3605245139134325,0.35039988416676693,0.43389709579016333,0.4330300130792657,0.6789479443147439,0.41786397266632724,0.5031374921028823,0.3525277762393573,0.42364640202790604,0.39522812968185395,0.41541143215307536,0.44715794072118703,0.6621380560164547,0.6844282387735412,0.7665398383333593,1.0216275786927795,0.9335633197565929,1.1044754739675928,0.9950197307494351,0.7272763966431348,0.6220564379241732,0.5212817294471713,0.5304889293418636,0.5566775787254898,0.5205073251722575,0.5362016108883648,0.6027788095875216,0.5671387052465963,0.6099672904822665,0.5521044520120952,0.5584478666196461,0.6122377203313017,0.5990469350693659,0.7002555398992955,0.6136354737338211,0.678845068535225,0.6163041758928399,0.6755628514241043,0.7214990968175894,0.7246173706769762,0.7880770307054069,0.8202374922765233,0.7805518162877746,0.8729421498762213,0.8235353099489482,0.7267874782083061,0.7614768215625103,0.8396003677909137,2.1389383951305843,1.2621308210606283,1.6527283205773147,0.7994176359246211,0.8600082644669023,0.9056475447597219,0.856946522873706,0.7862274655574271,0.6391760570512458,0.8424609691054568,0.7066137921512744,0.8817435961975137,0.6959344466902102,0.9488999644135617,0.8282367612217878,0.7730520984732437,0.9271161660204886,0.632102399455425,0.6266484600960944,0.6824020363184807,0.828013380086453,0.9366343474116484,1.1355725850502338,1.039831389779105,0.8926534157587157,0.895017587141233,1.0591488126880957,0.9623157381895115,0.7714057231030018,0.9605786344214888,1.0126218489105057,0.7586932321212305,0.882582294086787,1.0928825952645291,1.0178211235595602,0.8732703950589952,0.9734122260777298,0.8587132978019377,0.8417984556777163,0.7782696748682295,0.7718997276780661,0.7811304877202058,0.7010177827094937,0.6921121463143219,0.6882548558197079,0.6979625341382413,0.6196154973679345,0.6656352302589493,0.7933847390650651,0.6853378768481987,0.7112678093088451,0.7443658021970683,1.0016412301695226,0.8438395548854147,0.8744770554405125,0.9797690233453525,1.1108134731712533,1.2173473541449205,0.9348727756175389,0.7501627137470129,0.720023092789761,0.9838321687798517,0.9767171861183812,1.0327718506680512,1.0107648635839315,0.7919141609438352,0.6904362876461714,0.5262976923284353,0.47739849808081714,0.6600071257660247,0.5717878064764073,0.5930883527557218,1.3143161940893224,0.5430637037031277,0.59813239722949,0.6795562042003229,0.7976455750897666,0.50203697540471,0.7615323651473219,0.7531958045489034,1.499131974276089,2.469707632630053,3.2761316759738985],[1.0743289592320775,0.8138672654500663,0.7556497673384811,0.5725051625347193,0.595794138147266,0.59862748862299,0.4914997805797604,0.5240981879842928,0.4617362982143071,0.4556085015300669,0.4659011694353562,0.5183399308802398,0.47851238908569943,0.4894278317029242,0.5927725821328794,0.5641470656379093,0.5737209273308536,0.6015107573915776,0.6651572681575371,0.6078578234422627,0.710594710681249,0.7015300459873757,0.8457411866526049,0.9436131717482089,0.9683590110036921,0.8219008710502907,0.5886129951905684,0.5598184443943645,0.5395763431342291,0.5491496161170647,0.6653722092077757,0.6073177374911903,0.716116904174345,0.6924171515987012,0.6329328344441997,0.5997954165181136,0.5726470889827113,0.5652766630646275,0.5458902906823706,0.561511312960485,0.6652617153542658,0.6253806833210909,0.6263329221959476,0.6778179084220822,0.9070212614077693,1.353615233508039,1.2500790129497534,0.7730428700281762,1.3623229127260756,1.3721962076965109,0.8298204124718292,2.490786692861503,1.2058799499497919,1.0388985092026861,1.4849129495582372,0.8415743994774714,0.9743869213871423,0.8575542584478973,0.9780072643465852,1.2595097715920243,1.0907415009000954,1.2711436264277607,1.5275712444781728,1.2998934047542323,0.7913122047897458,0.8218826352358971,0.9762663938294653,0.7430544821789327,1.0060937125047755,0.7857048902896254,0.9744694181613098,1.2976713097327572,0.9497606416776835,1.111986564509331,0.8150442908818087,1.495876660416052,0.7686277186781338,0.744458070425816,0.6902929801786283,0.746385548033233,0.6374815122682436,0.6556521690415443,1.1712843420511538,0.6222871731766542,0.567405990859483,0.5469796465086587,0.5632144845965175,0.6993063796919126,0.6156944547802143,0.7160219066781541,0.722703597829679,0.882956780537007,0.8104597949203933,0.7342966711272909,0.6690772417703768,0.7481015147988083,0.732653825200013,0.6555990284033145,0.640973937760086,0.8932493624045469,0.6611916825939033,0.6734772496936411,0.5991954018403053,0.628577600444822,0.6274363327637109,0.6157504820413129,0.8398701262495671,0.583501275018003,0.6094481371728634,0.7913257320131761,0.557896409455502,0.484925725118986,0.46360166725314916,0.48778717075652994,0.4733855072183779,0.5020267939423262,0.5553342487605306,0.5676531907426541,0.7154602011624696,0.7397411933829114,0.6667851145790749,0.6174683397741222,0.5264843519074635,0.47301615489404236,0.485679365879804,0.5227562459725983,0.5187370083198979,0.5194794796025411,0.5124418235082697,0.5501595949647566,0.5527764810040627,0.6128715510783012,0.5193077794713824,0.576463943006665,0.5248360388548312,0.59292980617115,0.7121773969669204,0.5324118706406261,0.5407848367418546,0.5033910323937364,0.6476141416054295,0.659516754612279,0.5812225879110153,0.5445647240482724,0.541305699217375,0.5445053651837267,0.4891006860899857,0.49980536833365924,0.46691223717713215,0.49121283218147327,0.5631345408097193,0.5555438083539767,0.8288594147584711,1.6057054097341352,1.038570147857881,0.6828866122456118,0.5635592240193051,0.5543519822819756,0.5456602527902262,0.5396535575552218,0.4826850525726459,0.5270303793951725,0.5057024925081576,0.4879922639424762,0.5426857408218092,0.753750020024834,0.6237774127961956,0.7512497693875693,0.8044770681629876,0.7901615560278388,0.6363423304656338,0.5244279479565565,0.5177043252789012,0.4796977656675667,0.48133048943662504,0.5380271275801877,0.5578835461168732,0.746191217735426,0.5328023299962249,0.5765013896377689,0.47642348816498065,0.5079416232112504,0.4937546295921936,0.5330977462069882,0.5664912314011392,0.7448326744149376,0.7611267185631984,0.8362253231800066,1.1172744688777876,0.9873179321540272,1.2231246975455177,1.1533173509756305,0.8522187814325001,0.718244417834299,0.6256939994437971,0.6255623716320684,0.6375094822320729,0.6152120046804342,0.6347496402953714,0.7127392873939598,0.6475539426178084,0.6905852502675673,0.6496033569159327,0.6513551265440257,0.6888595611559084,0.6798723892227291,0.7647856809343251,0.6968714966408467,0.7437280278189221,0.6974751158007823,0.747739524969902,0.7894022022599341,0.7988590938417298,0.8274445357899526,0.8760385990885065,0.8339323032557033,0.9294590526497524,0.8569332240537038,0.7708600769479237,0.8235533839736972,0.9018627443372141,2.139311556686334,1.2938510302229629,1.674485937261758,0.861547102877499,0.9029160690880367,0.9363428799104461,0.8855134949643525,0.8330793295128402,0.7094111781768603,0.8967021263574814,0.7633413185442047,0.9086110509239009,0.7453309510319964,1.0436411516184414,0.8474145583381305,0.8141713274898715,1.0088370288257702,0.7171968271130057,0.6925505232895592,0.7513237611703467,0.8650220021241111,0.973531199078508,1.1623721504859954,1.0962533362503244,0.9348095990898484,0.9576103180728869,1.126245045017596,1.0136925532916883,0.8299981958050486,1.0248806792769918,1.088442263092776,0.8450351626656553,0.9400051586328345,1.1491413461916073,1.088779249808166,0.932112909022845,1.0216138468904175,0.8992295336903565,0.8840088710620774,0.825527365964975,0.8182106753019849,0.834017208273933,0.764825620847857,0.7651528504191383,0.7448666733588938,0.753217631931761,0.6953690014708962,0.7356406316923759,0.8550241684834449,0.7461204452402432,0.7598089510675318,0.7894215395934236,0.9901542551773574,0.8897792242886691,0.9271775028940455,1.052046416670386,1.1860907570577608,1.2278458686685771,0.9567067534950042,0.7899553491896892,0.7639830154399949,1.0064950693534132,1.0116989752544219,1.0882897068485884,1.065415137810339,0.860663447580781,0.7691919938179113,0.6338268193074822,0.5899734887827784,0.7227164890486288,0.6547369240057082,0.674212161014531,1.3850581805374873,0.6388491506666085,0.6863260517123042,0.7636754788455974,0.9028716504517249,0.6200241000989015,0.8476077380970863,0.865951430798829,1.5296930609480253,2.406459386524656,3.3539693252527987],[1.033052335837759,0.7215512856155145,0.6781282287831351,0.4332149730326323,0.4665390833755239,0.4677766457416608,0.3352567336653007,0.39699519261917415,0.33246391350855453,0.3151008368343145,0.35423088542744896,0.45172796441117985,0.3700986173759138,0.36795616393442965,0.528978581423217,0.49514796032093034,0.4602303106893946,0.5255999068425085,0.5727329441748428,0.5186138003369641,0.6287906659058792,0.6035546448509896,0.7617654639286486,0.8646203204974393,0.8170076552173654,0.6899948020608604,0.4686960853696796,0.4388582209055086,0.4490000995821472,0.48222131312658095,0.6099563966460927,0.5738772319634582,0.6753238803483004,0.6619271178979441,0.5875635876467576,0.532206167641072,0.526141283839622,0.4738343962261523,0.42964046779994625,0.47266942889892477,0.5548012817457543,0.519887934608137,0.5167914031847354,0.5783531604406255,0.7964654749146357,1.2589149151377348,1.0722566433538576,0.6615808585662776,1.3568905425824989,1.3119518946294546,0.750647763891206,2.5265538972735664,1.1939591069698101,0.9964984489730907,1.4643178626957833,0.8447130255588051,1.0067869703078367,0.8248083129957643,0.9657596552647667,1.22519029409922,1.0504548063186376,1.2716807354626969,1.4997034958784043,1.2007383979369692,0.7144821505140839,0.7100757292806317,0.8843257378865848,0.67838409787237,0.9055199194832769,0.7048550955177046,0.9517794760315259,1.354403357498876,0.910867872914708,1.0288794039307512,0.759556673907995,1.4308787928150604,0.7166969172145379,0.7132835965405536,0.6479911698290681,0.6853736871159519,0.6171618037172285,0.6061232153756686,1.1509249991608237,0.6417688408489818,0.4911237390224515,0.4727261461117347,0.5041459458251518,0.6812339402753629,0.5538006004169524,0.6952781843711964,0.6852387757817343,0.8217181382967736,0.7623871804579618,0.7024912727814702,0.6278968776108582,0.7136406820722763,0.6920570449524406,0.6202781440126769,0.5923437372733572,0.8567094156976653,0.6085342713210669,0.616298216208364,0.5299911259818146,0.5559226804002795,0.5673250642199166,0.5325467285424178,0.831423170020982,0.48247139287342233,0.501137413546483,0.7439656206790656,0.4469214810512527,0.35913758503168425,0.34024185450145944,0.3568536099851086,0.3483247808740182,0.3642443150476304,0.43205106710704516,0.40678425882556835,0.589622242455653,0.6205093003028515,0.5224462335044637,0.4806597865452313,0.3564276082339453,0.3498238841191779,0.328966297557993,0.36487065776659716,0.39949218904674394,0.41732400131876035,0.39439712503910446,0.4365424428837,0.4431251949889632,0.5411546182611198,0.4034800797388928,0.5230701621294623,0.4239830520309679,0.47329188263877264,0.627291623108713,0.3919212607416864,0.41948690181606163,0.3512121689000835,0.49000256690581373,0.4978737821663892,0.4506553796163599,0.4270300637948901,0.4002867011481238,0.4219417931145053,0.353678841706439,0.3945846844444764,0.3613980404262712,0.3861712368471914,0.44311664003085,0.4564424859133757,0.7855460276569854,1.5825686220532018,0.925797328395467,0.6205643285701415,0.4893789660757303,0.4874255196205795,0.4756564434055106,0.47482695658901497,0.37673205031673107,0.4446809403231761,0.37591287498121817,0.3777112485957551,0.39182968610039937,0.634983798899851,0.4607064861013276,0.5883456102561476,0.6499115968324725,0.638254856578654,0.47575084316802035,0.3897727111373584,0.3945450418148493,0.36794848454067575,0.38719111517972044,0.4629408369876252,0.4968275238375049,0.7309935162362862,0.4719127968163221,0.5777757310179943,0.37094577683519975,0.4231482153245178,0.406103777870135,0.40782138906969617,0.42699627353397235,0.6579060662937053,0.6516356151736501,0.755320520376702,1.0385166563733874,0.8617405410502673,1.1021379950441712,1.0753408662683552,0.7600849825350242,0.6222082538804838,0.49786790057483965,0.5227978289643345,0.5836110756908556,0.4908035268685763,0.5094278368419061,0.5902960534574109,0.5396959613338688,0.576435968537983,0.5262389878519168,0.5400055965904338,0.5849761526888301,0.5741989332623528,0.6659238809789213,0.5981483114748224,0.6535295268267389,0.6096944083582249,0.6682382226992786,0.7063546505414787,0.7133514308559687,0.8021913101831115,0.811509857947011,0.7829812672644998,0.8479149762052336,0.8073817094834397,0.7038134793226618,0.73007421540995,0.7928842751602518,2.2566437754065,1.1697731224791474,1.6361424637712862,0.7661423743919815,0.8432957493011664,0.866385181571393,0.8392556035071905,0.7430693309253185,0.613855797493082,0.8352269950646534,0.725062498696168,0.8665497597068154,0.6713231173995801,0.964658450353899,0.7560640019956836,0.726519463663946,0.8829954369541332,0.5878551165008616,0.5826136226719727,0.6648414471683195,0.8114581965497133,0.9212641303694169,1.1089610820105082,1.0211939756651571,0.8713682567925634,0.871805735102607,1.087194699528114,0.9165965283395422,0.7346372615588418,0.9099008677944321,0.9474233097676809,0.7282772399462779,0.8372751190656148,1.0333281559310354,0.9558123613067868,0.837468236168626,0.9212712449051904,0.8153029745966113,0.8002238730074338,0.7406800977718379,0.7432690979156631,0.745513260789379,0.6718764504883803,0.6807690904693566,0.6592572822763278,0.6670881093991008,0.5856807769569914,0.6239163217606833,0.7587278155202467,0.6862056260885969,0.6793231482140053,0.7094903677626813,0.9531301919358406,0.8045489962256884,0.8440798982508536,0.9480531645098932,1.0944121253028452,1.1740738125406767,0.8969398414443941,0.7470962136525359,0.7004230430885939,0.9529932906600728,0.931691952020257,0.992853315579485,0.9890365395323917,0.7458895754719025,0.6714997726240071,0.5202984320767428,0.4838437664786021,0.5962668873972299,0.5674682818479574,0.6283698061289446,1.4450448916334913,0.5444512225853084,0.6041064622456662,0.726983683719151,0.9104615922994357,0.5525672772585383,0.7858035798662538,0.8980900463084011,1.4882597625000786,2.397197742261192,3.4115744962989445],[1.0732326295217822,0.7699327341586912,0.6886623069382971,0.5076605507534938,0.49867705787374184,0.5140761661376927,0.39785494261221827,0.42636862663030206,0.3810544026581116,0.37424428382402647,0.41014496410935203,0.4640276786699681,0.4388734986619587,0.4252423683367725,0.5398723995145075,0.525458881703485,0.5322937440912902,0.57081248478957,0.6494320667369029,0.587323647515115,0.7256762652895415,0.6988327826916969,0.9043176568841379,1.0226271095472563,0.8112726776041465,0.7493539049483712,0.5332536258999785,0.5046206056559955,0.5106645555136612,0.512906561970687,0.6530682553157952,0.5856151175682124,0.7319092929100837,0.7175726136055814,0.630777694715797,0.5914341784779192,0.5546889271303987,0.5229174190536394,0.5106621043704693,0.5525650218529945,0.5983643098314545,0.5758330373601273,0.5883476452354965,0.6050494274563742,0.7956533296975953,1.2097053199055237,1.0939485442088208,0.6941087973879613,1.3858400361748537,1.2311538932991526,0.7973342751878024,2.595449394208561,1.331768879534733,1.1302420004478373,1.4162306996477394,0.8184356312923244,0.9211231770198051,0.8868152036632926,1.0698220542038555,1.2090653459907414,1.1883507008540342,1.3881016207609431,1.669087386327401,1.3809291236669348,0.8067288758039739,0.7999157170897409,0.9367182663233796,0.7406052121874692,1.0018151829131945,0.7321017413395198,0.9817322554455145,1.4225741981923092,0.9409044695718153,1.0969666454196503,0.817967659469286,1.5298474179363803,0.7961274799381162,0.8003470099557389,0.7275211799888673,0.7677278387793466,0.6741793474465976,0.6260965424193545,1.1984056133413847,0.6894787471739331,0.5568295718696292,0.5138482456611191,0.5588706462077767,0.7009681411789326,0.6263230815029397,0.7508954176811116,0.7432756372612487,0.9142499197055064,0.8243521153698483,0.7552780321590776,0.6619257520327229,0.7435970939391339,0.6946412421977795,0.6386628929890581,0.5969693560616974,0.8570444491328846,0.6129455964191755,0.6079613490118173,0.5370540041586961,0.5598994291422571,0.5806985915509529,0.5510016249045471,0.7964257248553639,0.4850154382789743,0.5018634865409345,0.7119162621493668,0.4453810045724513,0.3893221710644993,0.36445820067005474,0.411256645522165,0.4244116350306193,0.43887001472242715,0.487782839497745,0.5017684146674708,0.6720576723595726,0.673028281327809,0.592998536533156,0.5350831148448975,0.4321915394739003,0.41162801752412576,0.40111307349742115,0.4188481042769814,0.4262272469993115,0.4509828763814543,0.41274384333985803,0.46795516347439803,0.4643825361584393,0.5276662615306583,0.4349308611009652,0.5519544833495866,0.4711175177818165,0.511190639211826,0.6562132968342083,0.4607900849713835,0.4828493547069674,0.43782198327316235,0.5730596292175691,0.6085547673584857,0.5543446824409547,0.510386561397254,0.48435031792751343,0.4986768798877829,0.4368761332337536,0.4590776668891326,0.42417780662629456,0.4123123788287601,0.46557594911525163,0.4924415715503723,0.8255483533911951,1.6611366053827157,0.9935502489895047,0.6466014567565501,0.4818130294115945,0.4883674803861046,0.49472853695518637,0.4951530581606596,0.44298624752898885,0.5091414095821645,0.4484683912022651,0.4569361863990619,0.46957721704359523,0.6619146375839727,0.5176647621814643,0.6447548181167703,0.6694279780447978,0.6697043487806779,0.5183806600235275,0.4557707070778119,0.47225051698785253,0.46056930208783525,0.45152563297731824,0.5107373810645908,0.5228407417199241,0.7350944013130503,0.5059814950405754,0.58648788614154,0.44893479122699714,0.46033383743529194,0.4452303666202174,0.45496559701916767,0.4842625571620492,0.7261290052524558,0.7153846898159466,0.8227633859666482,1.1183373472434508,0.871594250429401,1.1633409042067449,1.173456371457897,0.8185743389345793,0.6648700145139433,0.5504706400231263,0.549135793493815,0.5928632833589567,0.5155929589316087,0.530089087051266,0.6041528398812046,0.5458155065153202,0.583673288478976,0.5420091328717002,0.5639665864555133,0.5969722227521552,0.5902099035900221,0.6915070107444994,0.6162498469919374,0.6688009542241764,0.6341635601934673,0.6956443760698985,0.7430304070432214,0.7504061001177017,0.8341209750401297,0.8501707148849756,0.8063695411653272,0.8906851553342808,0.8337741444856341,0.7308205926308562,0.7615439950071863,0.8114651969216734,2.2555400500014198,1.1664159684726714,1.6436552080884197,0.784736128131331,0.8664814421120498,0.881136436047103,0.8530499371781923,0.7575912191133034,0.6241343271911911,0.823311474571273,0.733156629902214,0.8558039000174672,0.6719983973913205,0.984831521574432,0.7654977195632847,0.7569946190198014,0.9191093533832394,0.6071606789032212,0.6086457064200411,0.680283971029468,0.8125088892040202,0.9294928215635506,1.1098625576244934,1.0224864738417878,0.8652689646032206,0.8692770287633131,1.0801793889146798,0.9115235024975259,0.7364920337111692,0.9037149139949825,0.9345422295225155,0.7438557949091822,0.8401105512789254,1.024315671194727,0.9689530298448567,0.86058495208445,0.9339894828808105,0.8340854870840895,0.8051682641830421,0.7429445572967396,0.7437709981738597,0.7410618672169794,0.6871189058241719,0.6879287141534424,0.6764384728967886,0.6984384868215505,0.6137703633137065,0.6469393784399726,0.78768381850359,0.7075443857140726,0.6947133021788527,0.7244114586131778,0.970363503288809,0.836922142165385,0.878225630353717,0.9898270484003362,1.1448163170686523,1.1943318820391577,0.935264319511917,0.7849360273177988,0.7309393372417828,0.9746956130086323,0.9457905395044327,1.0213421610276485,1.0073101165528247,0.7610164253674909,0.6772307231793516,0.533655948302965,0.499784194929187,0.6007910482737973,0.5565161668192934,0.6280741512100939,1.4711618180826405,0.5540905756570172,0.6206301816239703,0.719727755385713,0.918262639658041,0.6040410182930871,0.798712493168468,0.9460839122768192,1.4759234742033533,2.343253534337455,3.447805404789387],[1.1107017390889138,0.7435409369233364,0.6165413233853001,0.4158065977484621,0.4371807810890054,0.4743601435276482,0.33997935024766934,0.40041909979733603,0.34903759574951104,0.32262890112096115,0.3758265718972692,0.4702281843178643,0.40934492246150384,0.3864139499619125,0.5605045402765257,0.5437658761047016,0.5125603146955827,0.5838489124990835,0.654979098218105,0.5982290754923594,0.741130611227204,0.7020507980773896,0.8910180597589193,0.9808477643596639,0.7485520069134303,0.7047655259973686,0.5377921465539967,0.4985326403498014,0.5130278272676558,0.5309675013041969,0.6699634624397098,0.621503468481735,0.7614028635269084,0.7392657512966965,0.6669840348054314,0.6089808375030974,0.5861703943025288,0.5444794609744771,0.5077712744273636,0.5743902155834109,0.6256475385053627,0.5733395427444826,0.5766278051607172,0.6166353821505662,0.809966878432842,1.2240862873036853,1.0551362602080203,0.6986212658848774,1.4414470700868296,1.2677939962606617,0.7987736914543516,2.664349939548709,1.3819547346402354,1.1984801924603334,1.4393226953557545,0.8383696023768857,0.9487309343367527,0.8968887689756672,1.0743827559958952,1.1745488319578887,1.1834523596199993,1.403024684246486,1.661350559675985,1.3477135438176522,0.8203546029389953,0.8007150738599742,0.9459592393852959,0.7644180670242225,0.9671134441832236,0.7639338237741697,1.0356400214846617,1.5048928576177125,0.9823720955525032,1.1133528866370266,0.8214716432294259,1.5016119422928376,0.8083370470786873,0.8144874395234893,0.7405319368791353,0.7765853884883732,0.71260227699973,0.6599972782540683,1.2496186879904578,0.7397644734792725,0.5727773036676853,0.5390243321958625,0.572532430584651,0.7393778703383352,0.6408990438682216,0.7751286735388387,0.770638616343406,0.9078401832746268,0.8482766538676071,0.7834679164519955,0.6885586729535152,0.7745828385755669,0.7263143495150823,0.669711278355826,0.6233419985974712,0.8561243754496067,0.6438438953212569,0.6188138427833807,0.5602223486368348,0.5586797031280848,0.5871433707310295,0.5447458643650976,0.8050118584945878,0.4957634585890675,0.503630635879993,0.746155548806163,0.4351627298846745,0.3755269953927505,0.35162260222425357,0.3760107153910566,0.39788398621372467,0.386746715161552,0.46604615048854153,0.4595612953402123,0.6447494930233221,0.655296443092328,0.556181750504963,0.5146840313096165,0.37925203424902815,0.378347201199448,0.3396864400830475,0.34968836485283866,0.3874248728060789,0.4129965476403468,0.38304590041151626,0.4554593125314724,0.4067724556099269,0.5055764327508322,0.4004245693434765,0.5751234419483414,0.44717973405994577,0.4597718292914161,0.6248902495470865,0.3994126587006474,0.43963398028398626,0.383867574278985,0.5145918279175179,0.5466339691651557,0.4841923473017105,0.4805858801690741,0.4602082487385094,0.479235454410008,0.40903433288379076,0.4454585535201472,0.41580057920149655,0.4080416219972005,0.4607214263940165,0.4979289525675096,0.8530284664190604,1.7350770871036443,0.9708817766857937,0.6466118512431562,0.491566247824304,0.4722674663703277,0.5178760538457331,0.5000260341158607,0.41596609247626654,0.511007980513319,0.4125423890046304,0.44371186718344474,0.43006838620567045,0.6019800565735818,0.47191834256408105,0.5613098372278224,0.6088820416960529,0.6214921376519221,0.47232980034329175,0.409700823901097,0.44099493752191843,0.4338793410164997,0.4591760860820381,0.5145367866513311,0.5457241426059869,0.7912964186623357,0.5385502553254775,0.6444795093037278,0.43700925641508875,0.45686803189639136,0.4471891383229475,0.43992832872268794,0.4534842483719669,0.6733413147615918,0.6631695726922933,0.7832128528718659,1.0918178982332236,0.8058028165924402,1.1142541048041905,1.1831878155534712,0.7923665240409627,0.6280463637255068,0.48238946543256983,0.46451057394913287,0.5353375988296943,0.4391160575307552,0.4761668222293883,0.5332951834762978,0.508294379409986,0.5533955900772664,0.48758078965054674,0.5156529509596254,0.5840118947532987,0.5751351476003559,0.6587959016880284,0.5893048442089321,0.6613119880341587,0.6093651026729563,0.6624218255914477,0.7104381916676956,0.7287764494239887,0.8324156993398497,0.812573278146777,0.7862594866777455,0.8408966268665262,0.7894329216571645,0.6891550363605774,0.7285316425269216,0.7620395237387674,2.3486857510428547,1.1181985390084659,1.6914737020392672,0.8146597518472259,0.893887385911733,0.8948405494870583,0.8964274349358318,0.7527003993806204,0.6201907795877097,0.846701502543885,0.750309789923264,0.8324260807500228,0.6555749272712078,1.039833279449741,0.6475826845146763,0.6613991832960099,0.8140245317123193,0.5225143581885953,0.56736305501403,0.6946777654969322,0.8402833785437247,0.9718190851355853,1.140540918598504,1.0589803805821705,0.897950326350981,0.8955717451827283,1.118140685663585,0.9187870378542828,0.7549159662613683,0.9331940727830889,0.9562468817621456,0.763653805793679,0.8572143724515184,1.0343834180381897,0.964295773584736,0.8641106599156795,0.9416249817462472,0.8292464353024871,0.8141136241461506,0.7520147019422829,0.7546572295612303,0.7497641400458283,0.6746286163881354,0.689611886766967,0.6525785197486873,0.6523834259467035,0.5718390827547747,0.6135286350615803,0.7151961750135344,0.6451123725515651,0.6388302043085995,0.6885757124587475,0.8949918860616546,0.7747428698966357,0.7981078529012676,0.8855309779086485,1.0790246864130846,1.0861541429307637,0.8440604473881053,0.7269655259027844,0.6644296398094676,0.8878137683497732,0.8390779267557559,0.886110778056081,0.8962317655453403,0.6852839922744848,0.5925702440001691,0.477939923538908,0.43906889157018114,0.5234110625500198,0.5234073338776688,0.6142596243065808,1.4743202191627243,0.5338573085369852,0.5915577168129977,0.7134047112760773,0.9306021718419055,0.5766353882759053,0.7903104296013687,0.9963512947014044,1.4521145471884125,2.2995036221178244,3.4543739675442557],[1.27898147665743,0.9074747236626278,0.7956388108813821,0.5778539923387798,0.6002029688275052,0.6364390563767516,0.5677424706083217,0.6523275204118117,0.5756164315142804,0.5127851700980968,0.538014094339235,0.6499152999812494,0.5944215235199299,0.538019895010874,0.6708448094285329,0.6850560909479703,0.6347872486606313,0.7003804064955288,0.8000664449302949,0.7419674634216941,0.896655374103735,0.8385586377281584,1.1028066768878566,1.175379320538816,0.8404313982133488,0.832487549946085,0.6746197081140948,0.622166586928252,0.6604655320850054,0.6794335361571786,0.7676287693700637,0.742670583799113,0.8552593161553294,0.853623318348459,0.7886064594233385,0.7404541752438655,0.7401687588731726,0.6988196448030016,0.6762603239093955,0.7332071418022631,0.7282739892065979,0.7469930514142206,0.7673867286125228,0.7783315898730752,0.8683913831643959,1.140999936850557,1.0368263570745522,0.8854223386498481,1.4682406397240986,1.1854931880693822,0.8974053359557553,2.6564261970576655,1.4934918910309605,1.2119166865159514,1.3829895261186207,0.991809260948534,1.1341261907709759,1.0228131652015577,1.2237079397924835,1.3198923246274643,1.3446700919565646,1.5498918949577272,1.8003274391237971,1.425258549115541,0.9613487460797839,0.9101992895891261,1.0791543542591675,0.9029729574758011,1.1005094922388359,0.8982993070754125,1.1620359879715771,1.6445299173039334,1.1103977966741043,1.2497231935667876,0.9561504312355896,1.599406683550511,0.9617968847319064,0.9453121646057693,0.8861940639070963,0.9061006855337124,0.8436163580484577,0.8259387138235839,1.3054224633599156,0.8947214330711809,0.7502342423382604,0.7139770024552335,0.7392468972926841,0.8625053399689344,0.7870254998336845,0.9198715586222708,0.9158030903242489,1.0065042729988383,0.9413292042216342,0.8785776076590605,0.7854926715936108,0.8401260522479457,0.8077413112532292,0.7743539657508982,0.7430128134727061,0.9757730809016579,0.7867501788971918,0.7800667710404963,0.7349767400376156,0.7717284963840758,0.7935134986772276,0.7319427142771561,0.9578996706504647,0.7389804346973512,0.7307529104310911,0.9165001329627837,0.6686389230441343,0.5875389741893402,0.5795615690911325,0.5589763565036374,0.5354819976596126,0.5303555044654422,0.5606508983592255,0.5653494288834247,0.740934195178734,0.7517720378811663,0.6361432835850281,0.569295311923684,0.4871983190304845,0.5217745436654061,0.5144374085413501,0.5221809651484456,0.5964769909236379,0.5722833030284448,0.6143730332724873,0.6310879892465332,0.5888294865572968,0.6717928416622386,0.5769693691989949,0.7286321063058494,0.5987827995964919,0.5795888793478443,0.7230092479814971,0.5314220079293778,0.5405306350616567,0.5452052646152522,0.6154120734644057,0.6160755220396457,0.587360260818846,0.5835318479839984,0.5788188841988795,0.6386733681085636,0.5662410526544336,0.6124389706570664,0.6253680146779733,0.6186882936773828,0.6866114446588257,0.7090141165193513,1.0010915488277663,1.7654899758235318,1.0598089488687716,0.8254300708012782,0.7044871594640242,0.710941861404703,0.7205592234000283,0.7294893154000839,0.6144044285793159,0.682723709142059,0.583911083342206,0.6248974371964297,0.5780726043930944,0.6970667739033523,0.6039872707243729,0.6567089610519842,0.6846004105511356,0.6938266919412842,0.6077479891289211,0.5641318892923314,0.6034808849036555,0.6284496761718081,0.6650173855873096,0.7201019554389934,0.7421689356159493,0.9174670244882763,0.7378702307901227,0.7861420643009707,0.6470125666558376,0.6789917056719703,0.6691061319899778,0.6472053701119008,0.6245214066633784,0.8501575242754594,0.7985628067672849,0.9248986839922362,1.2263581009822762,0.9244448752653215,1.211358999659279,1.2317896124554657,0.8486720664060089,0.7125153697182288,0.6314739371477004,0.6282842993917935,0.6960512153652046,0.6481989604886822,0.665584996688743,0.7046276188656425,0.7435293091848123,0.7971066004070444,0.708102739599638,0.7178625219520277,0.8113536043688697,0.7972618082295465,0.751146235573755,0.7668671649562585,0.8914233924241725,0.7933124792335134,0.8198221496107967,0.901914475187,0.921674887387127,0.9687888901527381,0.9667538426753256,0.9208968677847761,1.0240537314868452,0.9062379637845764,0.8670349583751827,0.9305946317132876,0.94546676096669,2.506063169080329,1.2458589875758728,1.8183380815241243,1.0216074074269965,1.1237993005712132,1.1355418147279102,1.1760707486310682,0.990847455352949,0.8732672509300086,1.024374594466112,1.0006115519573393,1.0471575264492143,0.8661008124712196,1.1653122277550283,0.8077159855164847,0.8006254877227902,0.8829659708699736,0.6603902289041848,0.803583628466415,0.9349093525264166,1.096452601896962,1.2133781157918766,1.3793311044500218,1.3038895176571308,1.1354650810545,1.1643342900330305,1.3446223816072946,1.161956410200359,1.0062152529688335,1.1712894641292566,1.179446247530594,0.9970391233506474,1.0856942039787523,1.2280380519112966,1.1527929696927481,1.0915164821479089,1.1700214078347426,1.0718471792338529,1.049497038252786,0.9970953052304248,1.0010822062040796,0.9912625800321385,0.8878502292192911,0.9014864432357835,0.8583446568831964,0.8337029357213566,0.7587049022514786,0.7884598744254069,0.8608045366791196,0.788429626267217,0.7693750701309746,0.7986927520401622,1.014086083256165,0.879919523410591,0.9119841242515149,0.9935147813522242,1.198527973406445,1.147062905359498,0.9527364500212576,0.8486782585772881,0.8134137525328917,1.012789502201616,0.9392354528140361,0.9661615254928472,1.0260432431061974,0.8276668035179812,0.7308433271774675,0.648353724356355,0.6297033120067915,0.7238351142695495,0.752911376221659,0.835229372850834,1.6267076538873197,0.7554328506046529,0.8007389260799286,0.9241764363080439,1.0596009324392364,0.768755421783248,0.9751043215700752,1.1158704751770319,1.3761639639363799,2.244589184459576,3.366235609498955],[1.2106062728156808,0.8196808998531789,0.6666101684956466,0.48952434034418735,0.50233939356733,0.5435716285028195,0.4342080131843775,0.5135217622810831,0.4570188053649218,0.3694205383700008,0.40304857947324474,0.5363799811072983,0.46073128528512447,0.4045490849331794,0.5726989482343924,0.5736743749986327,0.5396939381828582,0.6128277522694938,0.7320744041826776,0.6631709204601139,0.82183513205548,0.7714055518349996,1.0135681788166468,1.1160825396848486,0.7778290816914936,0.7698949084980244,0.5961485585221915,0.5482632035421211,0.567114032750094,0.5664478274449802,0.6881365388345184,0.6409772225096277,0.7899705383500395,0.7570862187898787,0.6952997347638419,0.6501233509410795,0.6195129048859914,0.6021714912589551,0.5721887610467737,0.6487951526850735,0.6717639530669393,0.6524325998765739,0.6669871799275958,0.6985705055023586,0.8281063892456747,1.180146983959671,1.030750010720534,0.7703009004463788,1.4869651759539075,1.2159802131302295,0.8600522021433225,2.728151048190879,1.515444142533103,1.268298148914481,1.382230156429565,0.906758325063276,1.0044043246433358,0.9894076510337431,1.2004814353016164,1.2540400433655334,1.321121524147241,1.5235766448390413,1.7939619769894264,1.4319330589422377,0.8898387797176064,0.8507543879136142,1.0248014043695177,0.8240271658991299,1.029470987899657,0.8287370530059853,1.1043601868578408,1.6208052726620332,1.0597165740081247,1.1944639455757389,0.8620101220087057,1.5411846099198478,0.8544167421369573,0.8445464290242479,0.7812233284578333,0.8135683739220201,0.7517048846524915,0.7149151094026108,1.253164573491549,0.8025690279230495,0.6370130107795002,0.5965387331059535,0.6268859714141858,0.7648374326470087,0.6927621275859736,0.8145831864361269,0.8024361073168839,0.9325095589810077,0.8541913707386812,0.789800993399902,0.6984876472461806,0.7639510613636006,0.7159323708141087,0.6750799304966387,0.6395990116198352,0.8937501138346572,0.6861886656102465,0.6740390909735526,0.6162394114471669,0.6425322712137362,0.6523051274991547,0.6211894301205579,0.8401730553747943,0.5983924598942002,0.5886737681499122,0.8058164338317246,0.5340811984238695,0.46162069209223233,0.4331980895839012,0.44122911476775684,0.44291993583499867,0.4425193766344837,0.5010013132530484,0.5129383772379464,0.6836444692218373,0.696861662788936,0.5912908688556736,0.5341421763103624,0.43070965569979497,0.41808056826918494,0.38742583087233384,0.3885218075455913,0.4745972424104813,0.46608033894709017,0.47098149435485615,0.5272026383438817,0.4661053766850703,0.561512435604837,0.4814859370156093,0.657990187597003,0.5196197536124635,0.49401069104629114,0.6427358323697798,0.44192445588681495,0.48174164167487615,0.445178672790104,0.5451346974354673,0.5525285528386759,0.528485196897991,0.5410713703798298,0.5111317293947321,0.5568659677568855,0.479777482836029,0.5033447091400943,0.5081979811498656,0.4859571257538519,0.5572188849163914,0.6131690335917606,0.9284778582744267,1.8102299512212165,1.0664809801266377,0.7295529184999917,0.5774503009467061,0.5889302261765326,0.5964833330040865,0.596993019405509,0.5017635394978209,0.5786892625350325,0.4776388653473296,0.5121496283417776,0.47946006606251373,0.637583800517679,0.502319496296584,0.5459855280597582,0.5945191440413722,0.6052714437865451,0.4909028153843026,0.46768085342493226,0.5100897110512224,0.5177331349339227,0.5399554215072292,0.5825847341062422,0.5969290117327211,0.7833116622981304,0.6037214916463693,0.6907874738129104,0.5179462920242915,0.5581956362798147,0.5454858639412974,0.5179121826746651,0.5096953305714109,0.7300234221935634,0.7102418253580339,0.8540789638314431,1.1447941499924161,0.8022584525295913,1.099590824994112,1.244253465033232,0.8342905955226434,0.6678467444285899,0.55270262521973,0.506009088717882,0.5907482611652669,0.5124697699779441,0.5399359099431986,0.5953680228616614,0.6108569983081586,0.6754672024285577,0.5813385718419878,0.5839835454207157,0.6766097690532976,0.6691987254812829,0.6971624567200149,0.652576928765287,0.7675204468006118,0.6839870283607777,0.723910885916602,0.7912029625454478,0.8241573780613859,0.9039456449626315,0.872342790687791,0.8393434062195372,0.9078891303865495,0.8115428350110464,0.7501379049868642,0.7988714215531247,0.8133143669871715,2.479776748646747,1.1375122276716685,1.7212905353744063,0.9070391713787499,1.0215957966696976,1.0139658422344837,1.041555853147684,0.8483055408895555,0.7113047994141632,0.8724207437409621,0.8622658297543012,0.9092556970186135,0.7258788407545193,1.0810305597753551,0.6816806860496702,0.7076457603030689,0.8633991027592067,0.561788165564954,0.6711554343143903,0.8082656355338508,0.9451919473588163,1.0768098210239938,1.2410684540822419,1.1636036470333946,1.0030594292172916,1.0272351283782257,1.2299269695966568,1.0348855503678374,0.8723323675043227,1.0460815414500308,1.0609072845937726,0.8745637410568983,0.9659834097318737,1.1102540462628012,1.0565305207521045,0.9717257977699623,1.0416286761171218,0.9435411721578322,0.9165691486026438,0.8606446578248009,0.863170152640003,0.8487787643287706,0.7536838283124964,0.7705748944921517,0.7247534162512497,0.7117735891118877,0.6451359079063641,0.6717758697015817,0.73972245830085,0.6782339860341062,0.671261440712751,0.7162673821598508,0.9100375362180627,0.7937266595376389,0.8218027217088104,0.9086965270424647,1.138037272198272,1.041276300330226,0.853189928121734,0.7592112737100688,0.711371557452348,0.9178257496156241,0.8222430469702114,0.859203337596829,0.9162653268288186,0.7212761748379526,0.6208316114588154,0.5276778073170401,0.512081354339797,0.5838147308411281,0.6159662473363678,0.7259614688634027,1.580511726022569,0.6268064156792811,0.6885919833530075,0.8220066578925346,0.9892530688876221,0.6824909416500936,0.8829884357038502,1.1133461220505496,1.4124909125233815,2.1975381216224767,3.417010963886682],[1.0579614243505395,0.6536558699204922,0.4963960906255189,0.36021201572897277,0.3851551038116052,0.4377193069276168,0.3190847152442403,0.355811197275203,0.32866635583452075,0.28703391515365934,0.3358327413545128,0.46589405629268343,0.40814089266646797,0.3706970776403258,0.5470098425139254,0.5497644516857702,0.5418487965894774,0.6051990132196238,0.7271482962328024,0.6501897725307051,0.8000592960910238,0.7565084023761844,1.0097531215380522,1.1140737444119746,0.781732677168321,0.7701400705584833,0.6003330900888751,0.5457485696075874,0.5449311133533947,0.5356837993636313,0.6627698667511999,0.5948635623464469,0.7681292463052006,0.7261865540736542,0.6623669485939587,0.6331948641897317,0.5895034121514152,0.5784709095883571,0.5601894679577777,0.6336467895557194,0.6685350731658148,0.6304565650886921,0.6314815690451248,0.6761623882542936,0.8188525104591887,1.1990576486029292,1.0535280649918122,0.7577235250766791,1.4924232531496884,1.2210887396938988,0.8303250233019173,2.7346809995822396,1.5139135539324204,1.2890210270456182,1.3708888341944636,0.8441678947901127,0.9166948662569665,0.9370256249278046,1.1520558568201125,1.2235898853157567,1.2969383651339759,1.4804280550038729,1.763093517344945,1.4183615530525364,0.867060540190654,0.8491939444435226,1.008108658466408,0.793690775235636,1.0235615337009172,0.7963964850600128,1.0702622936318633,1.5488277448901797,0.9947166576782885,1.1502196872612944,0.8345093943978965,1.5450385397247737,0.8250031066953284,0.8113484838502056,0.7537196632927254,0.7894059307746302,0.7162705950868598,0.6663176060588055,1.2352394138279557,0.7581538498690772,0.6160615418868383,0.5637579441915171,0.5927391711143547,0.7382504306167488,0.6728997439587946,0.7898511364461346,0.7706618347716017,0.9177246353715137,0.8310087058150487,0.771835390270751,0.6739020114962359,0.7404759844611764,0.6918874381552061,0.6377030649211121,0.572200100750277,0.8173671054039345,0.6103612775516717,0.5598316536642846,0.5413596555371748,0.5235078865625777,0.5532270985703975,0.47939514006465767,0.6848201277531494,0.44185569792544827,0.45397117616597327,0.6892244491760696,0.38620521000647057,0.35864985661747384,0.3396549222079123,0.3802272000017661,0.404548971887187,0.4250089395490408,0.5057924661408545,0.5218273020985312,0.6997622633514624,0.6983068360595824,0.5956185812535437,0.5455986896726919,0.41871822165786227,0.3758541722942862,0.3103945100094846,0.32055937376869953,0.3634178610440992,0.3866109720878473,0.3479722306615606,0.42848111959381663,0.3697440059763697,0.4270859502718472,0.40141872055972705,0.575312967476156,0.4770289298132111,0.4713822349226214,0.5930182552284495,0.41067192505632366,0.48111469712013766,0.4456204805411321,0.5745179573506793,0.5942778479663531,0.5367393627700277,0.5493312299696863,0.5082981528269112,0.5327304646121379,0.45821653495140047,0.4663070730964448,0.42362230677149926,0.38928668476796763,0.42649554261641237,0.5093057194105389,0.8340230122006596,1.7920020051018817,1.0763297868998516,0.6285691899982777,0.46929227339279816,0.4583920419417717,0.5157916056116575,0.501580005950144,0.43799822833384194,0.5434441964757093,0.46553416063638836,0.48682209150024114,0.4672140233604581,0.6244926056696181,0.5051652541296836,0.5833135761411211,0.6001056122295136,0.6220568338755497,0.48295948002858546,0.44909647106747524,0.4890086523397873,0.46972005315211124,0.47983345767577495,0.5152363565889629,0.5354668819600739,0.7402099319445076,0.5477030579375362,0.6175685522141907,0.4683353868853203,0.45666166610800185,0.4592748478988948,0.45879115827875944,0.47542140894711726,0.693406726645164,0.688371024188555,0.8289135190179923,1.1534984187400925,0.8134121869841627,1.134374179635753,1.2459568909993104,0.8326202261085599,0.6500912604077407,0.5022912354702254,0.45347046915871253,0.5344969944366967,0.39833457942106176,0.41289423453195057,0.46645446641727273,0.4242818064515256,0.4918472804205803,0.41272044429861465,0.4327692990794659,0.4946738464148788,0.4979528347453256,0.6421890807741885,0.5009647046992146,0.5770862618543494,0.5211847452321365,0.5654794086967164,0.6166295827654162,0.6554451066508309,0.7461627232707669,0.7256735763263548,0.7024986465430942,0.7422086893918617,0.6871843823191314,0.5872116467457482,0.6115420107920109,0.6392818749574921,2.310445623782537,1.004794312277946,1.6032349071024785,0.7327008828436513,0.836815925228184,0.8323079086204791,0.8760251207165709,0.6425990071116543,0.4972858301798922,0.7658881330723282,0.7009912881780851,0.7259528568990861,0.553176204914846,1.0291320149184093,0.5570005884445834,0.5832632344129746,0.8268843946824258,0.45492049239317683,0.5079254832640511,0.6558829132334064,0.7745173304106712,0.9454009237408658,1.08474939144827,1.0412544183183543,0.8351188266083444,0.8285134261103122,1.0797648704555745,0.870829905473977,0.6877913588126304,0.8610014120185608,0.8897126325893694,0.6944850759849952,0.7678014197954396,0.9339661723035478,0.9045787543053623,0.789893303750938,0.8474972722528772,0.7458720082273861,0.705568003591421,0.6528939435407141,0.6493170851731579,0.6301409264480656,0.5599418628346742,0.5730020382276096,0.531121554567258,0.5420602571253649,0.47736741298768215,0.5134324179435071,0.6289806529778961,0.563431249615432,0.54923207279128,0.6230303958256456,0.7970739746987587,0.7279205636512424,0.7272037574759465,0.8339230529427162,1.0638122870334548,0.9546651537054525,0.7519986311678867,0.6559452808758883,0.5718522728888937,0.8118502253914321,0.7277890499237588,0.7951906000248833,0.8314813616209448,0.6108114814387458,0.5069103656217846,0.4117915501000726,0.39083693955607707,0.4314982700344183,0.45535887429156263,0.5539170336181906,1.4538756218156363,0.4722388489212414,0.519099303091173,0.6528715651446088,0.8767474984545937,0.5454609810184499,0.7011565808617398,1.066140944780965,1.4498497944331599,2.1797857531952367,3.5048031799113577],[1.039834882220902,0.6424304169740475,0.48087610532105796,0.35718457194508146,0.3784425779207563,0.4301340902340445,0.31538427461692586,0.33922426949675843,0.3128485575014592,0.26957920662728013,0.3125297341406821,0.43394310458256535,0.3776572447180818,0.35307235179611635,0.5205542930115711,0.5074982544735369,0.5055954487246033,0.5593890022230745,0.6596211057091848,0.5849974136880421,0.7125049039929028,0.6729051111861476,0.889480349925688,0.991103024186266,0.7684534813119859,0.7312960044309952,0.5545902165330815,0.5046249094109637,0.5066103823024385,0.4990751201270704,0.6087596474916543,0.5436243371305154,0.6785924549506007,0.6505066638566759,0.5892113881811843,0.5732003974674211,0.5332763529417941,0.5284321441894408,0.5099901117333199,0.56992136084477,0.6135004785246845,0.5704781859589768,0.5690441961714847,0.6159012174786155,0.7763738669591178,1.1805777859841702,1.006776385967731,0.7131174132479722,1.4552698807388276,1.227863035725303,0.7854262896592666,2.675143025923689,1.4068349718783275,1.195619004009358,1.3645813685163362,0.8000910319724951,0.9157964148302289,0.8774851045911121,1.0612481155323306,1.1875806293276174,1.1731145176526654,1.354406354822936,1.6060386189015785,1.2725651516388379,0.7741708690120785,0.7624970980624793,0.9245612023084994,0.7225016417589015,0.9520577733931105,0.7411504966208949,1.0052898202241622,1.4389375774769726,0.9303205257534788,1.0522175091795896,0.775410890909007,1.4513094451065651,0.7477535634885664,0.7152953752580139,0.6691134295923962,0.7189385035794883,0.633839195001298,0.6149076723636098,1.188335739368981,0.696761968156827,0.5734429553535686,0.5107892602654267,0.5388751531509123,0.668395012789894,0.6031607916532319,0.6995840438698958,0.6965856816577762,0.8370428497742597,0.7485761430521342,0.6864278924284802,0.6136058320275328,0.6824964705835509,0.6564852092412912,0.5789556340783685,0.5387288715754449,0.775723801770713,0.5610205433221165,0.5260428219908911,0.49359405086306374,0.494158998161515,0.5268154500307201,0.46479718146249427,0.6659888700398391,0.4195432507450921,0.4284838223314205,0.6697833166695084,0.36563707218248137,0.3385988860103415,0.3220231060405184,0.3662890125079117,0.38266966374230693,0.40232282511811684,0.47551692077412644,0.47562416995894397,0.6443022846806241,0.656350130508959,0.5507254054138725,0.5095806736685968,0.4014984106194936,0.36581010667339253,0.2990965560603484,0.31268766708588047,0.35595216188220163,0.38717400234252825,0.34121516668113816,0.4149544879808487,0.3618198954712015,0.41929539420493733,0.3897014946411559,0.553652736362442,0.4645074744708866,0.46242616810170595,0.5942161885265266,0.4054860982140215,0.4652673145156302,0.4220048330872182,0.5401780747991449,0.5518445091227823,0.4965373788365107,0.5096691709664987,0.46649929835028714,0.5005812209937058,0.42689269595031015,0.4438961246745837,0.3998454986193862,0.36889956912636085,0.40406726005668525,0.4957983546080449,0.7913971012640783,1.7642590831733866,1.096191480569468,0.5867677770020573,0.4317953124024699,0.42313121031277096,0.47760967063229226,0.4726662661037903,0.4188726878358074,0.5061489904881765,0.4383169152652089,0.4549402410479573,0.4456208217942991,0.6125965693817558,0.4903902711613138,0.567667319539519,0.5914856143048325,0.6141392755301479,0.47278114605987553,0.4339353917139055,0.4660476869153388,0.4420957567062703,0.4405651001744744,0.48110812285968635,0.5008649651719999,0.7042996890117544,0.5075736733225166,0.5735419980204131,0.4367040455246656,0.432991374872014,0.4382452911900324,0.43917287539001626,0.45791610586701603,0.6859302152421713,0.6779166179128514,0.8165818768733729,1.1170394414020124,0.8014023860861134,1.120505804081046,1.2153140093247754,0.8182320568426268,0.6365504570164705,0.49105024882228054,0.45239865578219,0.5329998581567097,0.3920086320761193,0.40042909219902806,0.4571456861479748,0.4045500799719754,0.4658200721615951,0.39981429804045526,0.4194840588845005,0.47001794512622486,0.47889802661266506,0.6298428099606508,0.4862758876189743,0.5478501625857941,0.510952235703655,0.5581935871637808,0.592822531623122,0.6343802640395416,0.7457033202842581,0.7110716816732588,0.6976719652206578,0.7172998862842588,0.6802057886011307,0.5732871477729597,0.5839773300157909,0.6127177274692954,2.290125901346809,0.9607811169590477,1.5573122845828304,0.6891864250070325,0.785943100186224,0.7846231824475016,0.8351390625323231,0.604696093408205,0.4689631394402041,0.7338337984662763,0.67649081857233,0.7026767257148212,0.5314973275908161,1.0245721427471486,0.548816374572798,0.5788793852917387,0.8404917430881994,0.4503516701012866,0.4900979703708038,0.6193079876465717,0.7314504597058019,0.8963618926453744,1.0243529418520838,0.9978082614646687,0.786394953594316,0.7726760730205705,1.0405883185710845,0.8247587181349891,0.6419323233102644,0.8000838668985196,0.835315100260121,0.652947160957912,0.7107732164252554,0.8784825868948429,0.8811454746905975,0.7539506547562902,0.7963771961664039,0.701992691598664,0.6505404186086478,0.6001917687993605,0.5931292183420755,0.5894198963782218,0.5331027911953264,0.538499685007004,0.5090995297760375,0.5357857828068852,0.46250161961719666,0.495173142730952,0.6235005109321559,0.5590810987380835,0.5368974534719613,0.6192329206928125,0.7837437132126333,0.7252978404743617,0.7273211917975504,0.8402050057742501,1.073079979774479,0.9251984474749556,0.7477834674636942,0.6632130499743243,0.5733274908997322,0.8173475909003325,0.710979645998447,0.7711242386885192,0.8181476949736991,0.6034455467583515,0.49781856696122806,0.39647698704431217,0.37706949357741587,0.4188575517257648,0.4401924095168011,0.5342711836470297,1.4547796807405657,0.4627702989238866,0.5078295219255013,0.6389736818611816,0.8563540063512388,0.5427706617185348,0.6784068122776502,1.0701351001658281,1.474488448644539,2.1674628005954246,3.567019245410578],[1.0785759611905334,0.6880098596093454,0.5547760128329193,0.4374790701064964,0.4589484359910559,0.5156375436468216,0.4343159220688179,0.4846403727884042,0.4582273890996892,0.39267568097522404,0.4248300307239995,0.5569562164674801,0.4896271123793007,0.4357965986675847,0.5759224998443878,0.5777922892918796,0.5867670195204397,0.6319465028233727,0.7562148914647615,0.6738230900307496,0.8152984232684007,0.7628418538810763,1.003582264144474,1.095631996527879,0.7896993708886153,0.7846024767191074,0.6357044588719817,0.5893196643229356,0.58396968710518,0.565041556970217,0.6627473578543063,0.6087485549576483,0.766881580841497,0.7005834390169305,0.6587839841341624,0.6444428064306662,0.6176333745184386,0.6053033251684649,0.5894284590026511,0.6678026206862938,0.6859942948934823,0.6508493546900405,0.651933486734116,0.6837021613103474,0.8081907442438242,1.1502265997422567,0.9967678506545954,0.7839318865548098,1.5128745528113239,1.2069903082269189,0.8391473288370792,2.756127322736304,1.537750638320988,1.3318887052784767,1.386164314771823,0.8696337191424478,0.9470713824852112,0.9535882306580005,1.1565088787779179,1.224324995641356,1.2862887232779545,1.4625634772250622,1.7218271238235419,1.3611174312439087,0.8638845375355232,0.8334175939442993,0.999653368590646,0.8037695548115995,1.0441174408302178,0.8243652448491734,1.1230283797069993,1.5821177658476426,1.0246048998225485,1.1453195892777033,0.8464039273025126,1.5078966375038325,0.8186582431675777,0.7802611160267158,0.7378501650867786,0.786447686149214,0.7152951039249629,0.6817227162310872,1.2592593746452565,0.8019821122816327,0.6426936166870543,0.597606803662847,0.6150392197486593,0.7350896139508174,0.6755789607075735,0.7598230690296024,0.7498338936274466,0.8856397889797686,0.7924316838975012,0.7380665678061737,0.6639134257025777,0.7172893246893244,0.6965938918755735,0.6473125797261566,0.6119264416018005,0.8606736048111289,0.6399300289556166,0.6329338634727159,0.5982593996303424,0.6125834275334541,0.6058732281681958,0.5490843775857748,0.7248433679611478,0.5264846212942982,0.5331623652736159,0.751710769437514,0.48719982310007115,0.46626280262242187,0.43804336279849415,0.46693449557191746,0.4723048616755729,0.48414963888484835,0.5567894522676655,0.5757830125414058,0.7257311230984737,0.7239602685503923,0.6316845326226516,0.5805021543523966,0.49308419951407023,0.43820973957380593,0.4038307524455329,0.4086096224959541,0.4588279738397612,0.4937605791283095,0.4556620122276706,0.533317070722548,0.47510446537133744,0.5306923934750241,0.5110308848201143,0.6508230551207957,0.5651473140241803,0.5296365958392062,0.6340426792336726,0.47558140171930346,0.5358925327720023,0.5029796889992852,0.6141959279477305,0.6218772197623483,0.5791804875014139,0.5968094280353556,0.5608024075454816,0.5826308144341178,0.5190524339985275,0.5302613150176763,0.4965878463495272,0.46421091085324034,0.5195085579819839,0.6522664735769218,0.922827004191785,1.84350508617559,1.222137135502253,0.7226931239319033,0.5583564346931603,0.5494917885817414,0.5806055923805256,0.5608191273392744,0.5055756124211747,0.5955863096123175,0.526390019559341,0.5441470169851554,0.5358579960337249,0.6400160412122895,0.5492144543450233,0.5915921359320208,0.6183265439191415,0.649877375166925,0.5197682597933935,0.5107905215261475,0.5546331842118881,0.5422074509968374,0.5447782879793003,0.5692856693500107,0.5798298158482714,0.7725772770740901,0.5929850813631758,0.6692455869518692,0.5341981853085637,0.5346420201600238,0.5464661781617567,0.5323992524068728,0.5424087335740218,0.7232658818613817,0.704656449896019,0.8390448155490567,1.2012893483843388,0.8212683002949983,1.1483024880171224,1.3238590507447872,0.8735073482338909,0.6993945135926604,0.5975018665192411,0.5508915653331641,0.6116830072223837,0.49879424714612425,0.5095392152055737,0.5556847683410666,0.5152896007862022,0.5688710240236022,0.5071106211672247,0.5094159365949592,0.5676192885939113,0.5727784611541462,0.6901449958601508,0.5674329775486975,0.621627658658591,0.585771984827999,0.6166306593868691,0.6539290330179834,0.7021721506310884,0.7872779776190282,0.7384527894065795,0.7395562238255086,0.7522546769433466,0.7158248087512279,0.6213400781603603,0.6457584336383909,0.6567700251426963,2.3627893699623774,0.9731723088982188,1.5672810613647203,0.7574602479072908,0.859466302327182,0.8560596863024498,0.9226046589194291,0.6866031200578784,0.5659018622606944,0.8258371746262487,0.7906251141427424,0.7669158186122887,0.6234800873474102,1.1097709934339028,0.5992894151067333,0.6194153854852013,0.8647947100929066,0.5387728220132627,0.5840194257725326,0.7242393298771737,0.8217198135465813,0.9768942873059917,1.0806999959169277,1.05330662354721,0.8571692367425833,0.8269930864030245,1.067468388962358,0.8632550511958372,0.7222908119652037,0.8600979879326176,0.882366416790513,0.7300962774102738,0.7878402956537827,0.931860780823918,0.9509715207970946,0.8146531043773829,0.8530997819197057,0.7526221965390453,0.7238841896891144,0.6814299026142696,0.6667990814795095,0.6601677934384954,0.5993997533660843,0.6227742310102446,0.5877585799700413,0.6042957561432099,0.5469967113368677,0.5736323593479978,0.6661209724781587,0.6274599217966966,0.6179658468521673,0.6914545956136999,0.8115912207814181,0.783979603233194,0.7813528160435604,0.8925096811017007,1.1079061097703233,0.9268558077102642,0.7808467842560953,0.7105585731911083,0.624527127720743,0.8681523281610682,0.732225602178613,0.7801886150237568,0.8363289153052451,0.640688872797305,0.5425254262980134,0.4976985956954435,0.48359637174777476,0.5184031245559416,0.5449055141212948,0.6321001011408978,1.4885909012087704,0.5656611145267851,0.603342588435365,0.7397662599186683,0.9199334155473087,0.6313737016993625,0.771115371625136,1.1683916687278812,1.4803783935428794,2.138485345119703,3.598171679981296],[1.0806239227658356,0.7547840329988047,0.6595074871694369,0.520889252466915,0.5235048416944396,0.6042986660847876,0.49941404032510206,0.5620794186062147,0.536773805414366,0.425676380002986,0.4476316777278902,0.5943489819119145,0.4795043797446539,0.43109666919668455,0.5652450797748002,0.5504680455365734,0.5550881239739323,0.6211836093009865,0.7405571752972333,0.650153796128335,0.7773696946459161,0.7154148644846001,0.9295010809759346,1.0102358843133044,0.7899820486654205,0.7727321120701496,0.6161985098069905,0.5598205623816752,0.5582496814665345,0.542347129218559,0.6267553537884976,0.5718891581563458,0.6782244176012282,0.6383486335412218,0.5968844986077099,0.6009001469688173,0.5719240739889968,0.561948431841959,0.5529902258052897,0.6226341906307893,0.6604501078909693,0.6218305616141085,0.6161069549246894,0.6655064783422452,0.8313732961376623,1.1912915138109221,1.0228787624684226,0.7573023995757636,1.481337997670328,1.2461991238392944,0.8327501253953903,2.7005498742968466,1.4270565310125531,1.2384091302853397,1.3739519843317192,0.8498473976059442,0.9710696418367891,0.8837517725369486,1.054112316579416,1.203420751394328,1.1602030104013445,1.3289581937920176,1.5431931286586749,1.1935453762735886,0.7739325415747664,0.7576846090409534,0.954056472133642,0.7665293776883543,0.93643119744779,0.7929287976014705,1.062736492273623,1.4705300207854,0.9880030765001899,1.0490999480797303,0.8105902004801767,1.4191142925355666,0.7527684759566107,0.7051380124278608,0.6651011241975888,0.7281572541821988,0.6418079520069532,0.6394883167306188,1.2492206767748018,0.7395099278212608,0.619324496973673,0.5560378558928907,0.5566502141370429,0.6747571759571527,0.6267584648616202,0.6888227580123254,0.6965597980992986,0.8258171231540987,0.7482451307378687,0.6702106663913285,0.6183062287748995,0.6661174920876655,0.6468809653926427,0.6015378349943306,0.5942370603663949,0.8274082800475137,0.614084148359319,0.6200036937467767,0.5699066526120556,0.6044197824519295,0.6031380638661912,0.5727131849982566,0.7271737798685477,0.5504104121649341,0.5761356412929688,0.766211767674248,0.5415208039667814,0.5064178195705634,0.49016731474363945,0.4884156167056543,0.4820564757879759,0.4933883586748924,0.5444833490784057,0.5558306535172836,0.741995275870902,0.7004076825020706,0.6025841591763221,0.5589198667509405,0.5021186252631554,0.4709292317729424,0.433969101379666,0.4325863265101228,0.5125711165904112,0.5351712514920532,0.4962539217167387,0.5399359747783601,0.5014338648640978,0.546583356825024,0.52180507358071,0.6496550846756496,0.5780454490461255,0.5485390865154611,0.6628466394878773,0.4983151650543484,0.5411309926349092,0.5046844269825228,0.594911179166839,0.6091608295438011,0.5759498247174843,0.5807827899562135,0.5259044574228103,0.5554611271451538,0.5062298076140678,0.5247156910718164,0.5005961804118133,0.4992691415743616,0.5677159435366664,0.7130965488205964,0.936084255186741,1.8422241072743601,1.27414559104978,0.7394034129902405,0.5580591192496219,0.5526083630210189,0.5647008984494487,0.5786347347832113,0.4940085395614162,0.5594242396594515,0.5118875749216178,0.5354258248448875,0.5190293794857285,0.644087483462521,0.5496025097654267,0.5893483744327773,0.6262809176541422,0.6568385135559855,0.5307835452290293,0.5108218503086271,0.5451269690282914,0.5226204512296622,0.5181957788221994,0.5482239339798949,0.5589473645665074,0.7622188712342631,0.5546790489260185,0.6295141984914411,0.5166976562095668,0.5214503267573868,0.5309549954167284,0.5274679892399,0.5400543568397852,0.7423183178021484,0.7213519879231783,0.8651634812827712,1.1601834033343024,0.8245263351562193,1.131784821086363,1.2920724048639163,0.8773760667414121,0.7129419546705791,0.6067448460993302,0.5736015391051815,0.6226442452685631,0.5287191786438977,0.5630064960765108,0.598757969688846,0.5827467668013117,0.6305134207279094,0.5768698255840194,0.5992581732822775,0.6533735423539593,0.6699295970358135,0.7688250588678527,0.6726543750373483,0.7263616679336251,0.6917360072116658,0.709270515202262,0.7379566248768511,0.7846856601251188,0.863312560224983,0.8112783522234502,0.8252619989527027,0.8098233300553134,0.798302654689334,0.7188549184998752,0.7217011148077979,0.7405088421150885,2.355746496089447,1.0282953748183503,1.5869945338648785,0.8273270756598047,0.9072636129670515,0.8941575163709832,0.9786817859750254,0.7519969891928947,0.6431042320173713,0.8790924032230181,0.8278156198843277,0.7954636710172,0.6616121062041026,1.1164351511393529,0.6581562271007886,0.6713335579257897,0.9222979644458873,0.5948174519676291,0.6216522772519747,0.7515929525308449,0.8481637155252427,0.9961804717727865,1.1086228254975599,1.0954652308368926,0.8921656420601741,0.8801248954373627,1.1241199857553414,0.9213002167085602,0.7795660134485805,0.9207163061863106,0.9602737661989951,0.8176150896287049,0.8511879005546241,0.9998173510579238,1.0232878885899925,0.9080422405020006,0.9303914800241812,0.8335065955499573,0.7986873506205449,0.742960963453296,0.7322481603833607,0.7532639565294061,0.7021440595827025,0.7144334565037029,0.695476426062629,0.7162523648275857,0.6479900210743652,0.6745565748615076,0.773461794840132,0.7108705946789092,0.6849343421316435,0.7701588296857466,0.8719102669808076,0.852605462627601,0.8353912095942305,0.9287379599337766,1.1286756648542962,0.9594859571665294,0.8389400784561121,0.7956481856005169,0.7122067380894948,0.92377692067219,0.78326774751222,0.8166988044794931,0.8648014446336935,0.6954412137958251,0.5963648076803983,0.5538764821114892,0.5382673016233661,0.5947513550647935,0.6158317905042096,0.7163350572968663,1.4930639423969398,0.6634910535969513,0.7183265195570655,0.8339431328457032,0.9973551166717491,0.7431083506732615,0.869045524485865,1.2765580317008005,1.5667248852477775,2.242202179955907,3.727191068504623],[0.9562055854857547,0.6094148549875804,0.5100835555259112,0.4053153085748873,0.4183533640276579,0.45377680465927434,0.3909416534052498,0.40524219996629296,0.38667007605842124,0.360981116266582,0.405520692723598,0.5136212829793149,0.46226059969260613,0.43417468367532075,0.5644053078937833,0.560647852798351,0.5783319912346151,0.5880307427569527,0.6641008615197962,0.6095688452118467,0.7185106073288943,0.7003579524864562,0.9050086597165594,1.0174888100261363,0.8137727236832425,0.7601963116068703,0.5955209858334995,0.5454321307456309,0.5373899570637846,0.5582269709677452,0.6421314119979482,0.5827074588050843,0.7201629371936057,0.6828368047172124,0.6235612882687226,0.6098863206521646,0.5595732128898069,0.5666557706638867,0.5577337167608915,0.595328603842987,0.6465044952004159,0.5922504930092269,0.601293545071028,0.6442552556493462,0.8163977113374247,1.2344388131149033,1.112005340450884,0.745675726471083,1.4630122916481554,1.2532155153200943,0.8094289025826445,2.6705587568025893,1.4185187685738938,1.215639107011782,1.3355536441589075,0.7633013152445293,0.85037411930903,0.8766874429412064,1.0379698423884967,1.2100053806635016,1.1705930980317558,1.3151141550706265,1.5870326473897285,1.3116879024064685,0.7900213349070112,0.8229812989945077,0.9279458190725695,0.7146346081728744,0.9751933143231749,0.7206819833975189,0.9572826370475688,1.332583673077361,0.8672602880686807,1.0298064300268968,0.7597800275475045,1.4590934931061408,0.733712414807021,0.7126076425573679,0.6802310151533176,0.7563177633352042,0.6472987538352354,0.6274995710322706,1.1955468328315921,0.6904762736014296,0.6248671954060825,0.5483745710119465,0.5621327520345911,0.6844055390019465,0.6430362300749172,0.714883890683171,0.6925125841171638,0.8636497547464383,0.7852406041137348,0.7176063668353,0.6432926010156401,0.708758345111489,0.6576782102001355,0.6085792525162983,0.5698914383144091,0.7591304076490945,0.5952118600713155,0.5423607638277347,0.5340347645699262,0.5190853567700653,0.5522214525961504,0.4942500358502003,0.6389250944882956,0.47216565481274775,0.4800812022580759,0.7044859646271774,0.4133783643085771,0.405163328650407,0.39630781701236534,0.4115145187592024,0.4397866655566112,0.43430971453585093,0.5240776271850495,0.5069493695023404,0.658235575049697,0.6958602757630798,0.5934576167723169,0.5602714425825847,0.40226831785509737,0.3862730609980458,0.34333217279707134,0.35455586326526345,0.3842752489577242,0.4496126171666912,0.4044534515288101,0.4654889048519778,0.4056724988992406,0.446724562918989,0.45397878375611694,0.5989725873803425,0.5158795260176557,0.5289103621681598,0.6292234825146595,0.4522504836342586,0.5101570192667043,0.4680706740644394,0.5816391002953081,0.5929099997461887,0.5361873338029379,0.5567457412069438,0.5218331610964333,0.5564144326903664,0.4872614161077262,0.48513305619104324,0.4429096163139756,0.41786659759022454,0.4501471890849749,0.5769434913529259,0.8040247790571644,1.734180200043754,1.1754666615118694,0.6235828765238589,0.4830412284159004,0.4586685962630298,0.5121959940978829,0.4985582208210284,0.4729672382414774,0.5513876536934303,0.4861632236158084,0.5064336784405699,0.5004258554709106,0.6496249562494495,0.5483788509172484,0.6309042461782757,0.6317448510897897,0.6481973217366103,0.5136718336919602,0.479005619693578,0.5187998346119084,0.5006833406648716,0.5013212131403294,0.5174770168555151,0.5395960104560145,0.703495024965096,0.5456245770192331,0.5731529925198131,0.5050023032425252,0.47164585061536834,0.4945426859378008,0.49046187480409414,0.523578998795763,0.6930589152861444,0.706601946751351,0.8761518730063282,1.1479617201483472,0.8322222685479521,1.1468965528287576,1.264227211268737,0.8859104327073493,0.695132519072691,0.5748813315945059,0.5147375050583068,0.5409742081503536,0.432585425190464,0.44871143201003855,0.4913166352162036,0.43587705888029815,0.47854479678118894,0.43341405764041546,0.4528714320330368,0.4770976331875716,0.4936327905003116,0.6698941694749978,0.5243099884970004,0.5383298147802347,0.5222862397039103,0.5703580146322891,0.5792335218814987,0.6175827042132214,0.7255973190363032,0.7075614751765863,0.7190928271724695,0.7121730520525241,0.7139697322646195,0.5962415480345468,0.5827106562187141,0.624176097126936,2.1421125883892804,0.9353146368761011,1.5059355450247789,0.662196028337851,0.7458660224619241,0.7676233851029867,0.8263696155130712,0.589697859933802,0.49738779802186245,0.7462699404154417,0.6916117606822162,0.71223903631708,0.554843198018962,1.023021625513034,0.6080089072586268,0.6249032045271092,0.9114301882200938,0.49492787768340407,0.5087313936509595,0.6325774866846109,0.7169572979425344,0.8792826492602025,0.972997151760011,0.9813673929288422,0.773418144622959,0.7333732439668424,0.9911607205329762,0.7994231683744122,0.6152736784432075,0.763642628495358,0.8112974239590168,0.6430651710942772,0.6748927278415597,0.8436182719907743,0.8703803786238228,0.7129304708403083,0.7496281223032105,0.6645532846172423,0.6192962184160187,0.5700876886521419,0.5695228430224193,0.5821490252529968,0.5415905194108376,0.5306268974120754,0.5174852785054403,0.561077360009515,0.4973632859496069,0.5232219063593901,0.6913286805634199,0.6155513520715719,0.5697155169110435,0.6532633791765742,0.856066524847192,0.8059155146683388,0.7887132311411515,0.9372397290303176,1.1313717425272738,0.9417423536559772,0.798912833096716,0.712172597417833,0.6124516681674612,0.8621980888748877,0.7496365507455276,0.8201978178760403,0.8781783400676282,0.6530366254563554,0.5382579024474403,0.4306378740908154,0.41028013910083355,0.44294438379362444,0.46824914085574837,0.5571120718593547,1.4401926552499094,0.5054924535971655,0.5320837973535218,0.6515971187935702,0.8516013290911056,0.5542284425014666,0.6569739550826028,1.0518379221461223,1.5239530703315192,2.144085816263162,3.6144007360460426],[0.874831057064532,0.5678460490158523,0.4974683358679443,0.37451717959492176,0.396336085250039,0.4109503857776274,0.36914867696876463,0.3987623668388601,0.3697113099698503,0.3785574854192055,0.4199748957601475,0.519963903436908,0.4817065625957346,0.4731979605437621,0.5806449917093615,0.5713364681993652,0.6051492389366033,0.6124228656450639,0.6690962689519252,0.6165853119943387,0.7024858363667373,0.7011494326640773,0.8677034602297166,1.0183112744514666,0.8787463018838065,0.7969426650384165,0.6256273951702787,0.566587862497282,0.5530800506569568,0.5746264210569523,0.6383138954122538,0.5693395678121039,0.7030283459631449,0.6664455559505017,0.6155941457791325,0.6181710357667738,0.5537389827887833,0.5745524687078577,0.5732983711880292,0.5909923791803113,0.6610503550197545,0.6156247705101165,0.6289069192885514,0.6778906929490782,0.8923076731528458,1.2919096422181855,1.1886989116986562,0.7960983164437999,1.4279418987421069,1.268947594021,0.8098313035831729,2.5884265567525366,1.3188846170917645,1.1594460830605624,1.3687349778685298,0.7779875630303403,0.8667666738772621,0.879445370300651,0.9767904325143264,1.2472285816650823,1.08294616496667,1.1854475086489815,1.4588157928726975,1.2295478447393093,0.7668841990625589,0.8062044791751715,0.9167070409525134,0.6965586010624745,0.9465029347184408,0.7024640513356483,0.9108767476520667,1.1704892065135593,0.8069996601704486,0.9806329696395778,0.7528165029661756,1.4317247756602165,0.7002118123813921,0.690509589866338,0.6677581970336149,0.7590043895864734,0.6360978733280384,0.6362530040405722,1.1817707715514094,0.666864514197541,0.6416929619048649,0.5559632714203964,0.5712442815655997,0.6854144439557858,0.6417052628688382,0.6969958079692196,0.6756034920576114,0.8522068553935093,0.7854301311079254,0.6974337463893627,0.6342579203023245,0.7068583652176512,0.6504878621353586,0.5995631349744305,0.5641580070993051,0.7102314748501928,0.5846215140211376,0.5305874035610506,0.5369605764556385,0.5169896754774688,0.5619999965742745,0.4878057151282218,0.6060799582557411,0.45945433122597623,0.4623321856875374,0.716254283873306,0.3939564008074683,0.4091881077602976,0.40681227683652527,0.42313310241290386,0.4611351522160984,0.4450213025135485,0.5471569596247754,0.5082570870640801,0.6505404813427016,0.7045008534425127,0.6220350964923952,0.5912506125735106,0.409084658546092,0.39959890280862925,0.35228244368415507,0.3608170400025803,0.3687559991214413,0.4371648603275854,0.3973014880008955,0.46211331444414744,0.39238872819558257,0.43104051017657735,0.4475631535045705,0.5911571394899447,0.5108175202082303,0.540528008215463,0.6249778254327413,0.45189647264040356,0.5088870643639761,0.46293762999225274,0.5777317049539589,0.6170347679068794,0.5552253659602706,0.5659174373283571,0.5465580931887224,0.563822456800858,0.5011383178788985,0.488047702431422,0.44102519083755765,0.4227836904370418,0.44645663542925246,0.5607928515472563,0.7571872195383541,1.6531070984987517,1.1554171325042542,0.5906321108837782,0.47639670381318266,0.4515917870896821,0.5001482050853006,0.4841465679092269,0.48175781822902985,0.5527669426969049,0.4795018938864578,0.5169099860775934,0.49572294911679826,0.6400023590411505,0.5465958604450912,0.6321082115035089,0.6276678079113109,0.6390969827756429,0.511864720163819,0.47678703436163544,0.5178926653401095,0.4950229101467737,0.4983807796762278,0.5152693922672149,0.543783339407795,0.6983437780156062,0.5469463115566467,0.5685266237456893,0.5094946130637119,0.47152349629294,0.49871829580883736,0.4800619612475652,0.5095717830893067,0.6804317036595606,0.7155537872426443,0.9263991042068923,1.1110355793798965,0.8559235275268712,1.142864591288691,1.2519269002001157,0.9088627585570013,0.7208795189956011,0.5993739571233928,0.5152035607439897,0.5177022709117727,0.41593876365415455,0.44533139482707934,0.47682737006085235,0.40949225387758587,0.44267696632021125,0.4040941381631559,0.41848605409924655,0.4389333638442588,0.46100973480282637,0.6473210567223123,0.4955344395496078,0.4970455626261073,0.49012441677705004,0.5339742369407667,0.5456134605288799,0.5880693013235605,0.7027594654795902,0.6817844072602373,0.7209500341560126,0.6864165260891214,0.6920979805004289,0.5649147855784469,0.5514282322992723,0.5879952438020268,1.998098939120896,0.9109305377653829,1.4892921917134792,0.6432798729751579,0.6847332997619676,0.7161136092359992,0.7806861126207153,0.5462850301658598,0.4757671791682048,0.7289634465214037,0.6968072929923919,0.7032873684562678,0.5431052544868262,0.9986875067015093,0.6257917279431311,0.6236079455202861,0.9159042247281997,0.49332203036571204,0.4908543682305162,0.615663083953268,0.687174042927738,0.8516945438700869,0.9286178351136587,0.9490886799394547,0.7498081655022466,0.6827272944806084,0.9281355161097902,0.7590568143556307,0.577561170140517,0.7200178453227084,0.7797180059920519,0.6123323927745892,0.635107398802343,0.7916511129811584,0.8566550713911603,0.6760228917542995,0.6940067640835944,0.6145457266617862,0.5728090946789968,0.5252144731574586,0.5345507537214765,0.5338071059906606,0.5005213389023518,0.4924218533684948,0.4754668019701749,0.5219671619854812,0.47331576305747836,0.5042206312536922,0.6834009231084183,0.6099048056711883,0.5805215106939179,0.6546369755029114,0.8573530140458699,0.8075058877369364,0.7697362551245173,0.9347671471995065,1.1230292866276432,0.9094720632058979,0.7827772303898167,0.6964487035285092,0.5904575706199923,0.8518899206915278,0.7231203489679127,0.8066561272732256,0.8598606064009024,0.6433348350395208,0.5191931999600866,0.42106180518757363,0.3932815256745284,0.39910191845635185,0.433223655655812,0.5075550340995952,1.3989535537235755,0.4730230119160116,0.4877527374769405,0.6081800600854873,0.822820175005735,0.5190700590174661,0.6284951687383344,1.0412498024704673,1.5757347794163012,2.091755386290447,3.610642643652116],[0.7837180151025447,0.5450876340362547,0.5252717018691575,0.41405508181980566,0.451630965110609,0.43722673709514326,0.44430607154691376,0.47993919854224026,0.4466555710292278,0.5107515591308215,0.5559477387614837,0.6250888167619035,0.6498017658103352,0.6440412760688157,0.7760267345749516,0.7679407308334393,0.7905246317558424,0.8266338158974724,0.8719759131071384,0.8306420983654468,0.9301835612189026,0.9359486793188851,1.1112458121467188,1.2499302070849554,1.04771619938729,0.9879406448395167,0.8410867335871841,0.7601923461876744,0.7598600399859664,0.7532058712566296,0.8697008878629738,0.7720012010568752,0.9155379351829704,0.8971335398313244,0.8446785624451506,0.8431380824600071,0.7367584137107073,0.7826914159544218,0.7683099031751054,0.772369751880166,0.8341692656624613,0.8089961011428579,0.8425749152722627,0.8653641766826496,1.0961491273249693,1.4320026340301093,1.4229553105585868,0.9781452486743661,1.4391209255850987,1.3236823917620824,0.953900336574696,2.5616491373278625,1.4162856573421048,1.2838329325661038,1.4690569244890728,0.977410528371002,0.9751201593147868,1.0869283578102247,1.1322160876046083,1.3714563101346433,1.2096972873008276,1.240772674147462,1.5330276996546885,1.4250216260369863,0.9823979484197968,1.0256575265121433,1.126300102963027,0.9292159110925249,1.1121665319399383,0.9515386733403368,1.0081272455246788,1.1736605787168397,1.0104450282939543,1.1695594822449655,1.0046983701220775,1.6180125993294694,0.9605972314617515,0.9687193575223437,0.9324202453941679,1.0069236599695606,0.8579665267986609,0.8348004084935456,1.245545134865605,0.8283101187794313,0.8164022039189978,0.7510900331363564,0.7964049380516774,0.8818700221308649,0.8881983604484918,0.9289744325156861,0.937436643429061,1.125516853252326,1.0513587235377988,0.9360945848644443,0.8573139795526397,0.9327000609803656,0.8397197913696285,0.7942542843919428,0.7179009880708038,0.7906496457430511,0.7361954667873276,0.6624904623728468,0.7040456017625362,0.6469026902296732,0.6961197980540932,0.5973261170615625,0.6595255284732884,0.5610969136806162,0.5300889218461333,0.7544025870706853,0.4629293326069504,0.5181654417340814,0.5153554173857545,0.5554056301573876,0.6242683789253596,0.5943018098740795,0.7123844963012969,0.6988610536929017,0.8692236964707648,0.8746518376104238,0.8135804498177663,0.7652260037597591,0.5706911952292453,0.5237820041635711,0.4739655422850221,0.4823982355656719,0.43925843542598625,0.5273784011041702,0.5085762279763726,0.5894394521369696,0.5356496167327347,0.5433190134102255,0.5870342201716673,0.6846858645167666,0.6460370354115587,0.6816602363703455,0.7073274614848083,0.6019592674884084,0.6484704657995326,0.6190171369397777,0.7403688990369469,0.8231773690722833,0.7276574448694662,0.7231355670423797,0.7336617550879602,0.7252567273405811,0.6672720933569227,0.6298985253316863,0.5787173946674472,0.543670502333563,0.5463610674231074,0.6265555089072697,0.7796767705637091,1.5823421435309122,1.1997356251738158,0.6750854875859446,0.6066461496416117,0.5690772729747953,0.6524606911735429,0.5924343948207523,0.6402184664153062,0.7195709747582498,0.644245551338535,0.6979151727232192,0.6585378286610162,0.7615577237816058,0.6770708750164518,0.747480699529432,0.7414796573759724,0.7332760976552308,0.6401014327777542,0.6311607775959396,0.6693217433420997,0.6553788128437601,0.6665238716575078,0.6690843086792879,0.6905742491701216,0.7971049838413321,0.7157818207448201,0.7129380878885483,0.6799819434256947,0.6296364509749262,0.6667845856104321,0.6643368552799984,0.6686832287639626,0.8086599612971751,0.8556656530190239,1.124167856575781,1.199862354694,1.020571543208116,1.2478023930255346,1.4095555085189657,1.0953476223372416,0.8948058461757514,0.800684107355057,0.6941517783414661,0.6458489642527132,0.5756922341055629,0.5777943470976493,0.571135498973306,0.4865525926870218,0.4791799013026757,0.4645817073180735,0.47194950228477783,0.4552971649769736,0.47201627994797785,0.652518347574723,0.4995590348234644,0.46663330079681153,0.4700050405415618,0.526180476156626,0.5165660791328296,0.5511713071183992,0.6612919798826642,0.6628090499318002,0.7299960505206425,0.6759943985635719,0.7046796132334509,0.5724334137954888,0.535428153139887,0.6126270075238186,1.8246158066687563,0.9026266976931936,1.4491195258386522,0.6346581587707313,0.6621540087088497,0.7030717872086447,0.7799623265187111,0.5936871687659463,0.5442584193461941,0.7523749598490173,0.7588571938726588,0.7633487384092184,0.6165356527322917,1.042230349031784,0.7538111216016723,0.7099899181532195,1.0054323133267868,0.5932295556170699,0.6052793573756067,0.6811345143718934,0.6968026877870863,0.8498290615185274,0.8750538407551308,0.9209032046980004,0.7461878158502935,0.645851055410101,0.8886918615531733,0.7345895548513017,0.5666541680156824,0.6943507184218446,0.7615451649251779,0.575595024980538,0.5859658467826536,0.739245815559045,0.8323262170029032,0.6223785881105393,0.6248562316559055,0.5702228047318074,0.5190424651626556,0.4926497663791523,0.5020110979258932,0.4881077564103128,0.4766957605745078,0.49526796298302267,0.4846124411099838,0.5349912917238122,0.5160067542490875,0.5453788930641967,0.7467124698731619,0.6605743101833262,0.6625255269421563,0.7414566880958907,0.9206258730545765,0.8661782528125901,0.7980608184117451,1.01815857788356,1.150850393734077,0.9273000088116897,0.8136528014329875,0.7154556589080249,0.608790172537166,0.8838514221410778,0.735797129038607,0.8343046934919679,0.9047476504038436,0.7079308483812138,0.5821140341085578,0.5218167493374071,0.4693657533492115,0.4200904437391287,0.450469642000755,0.5003951914789782,1.347988641645508,0.4756995123882606,0.47310755834980694,0.5830385040209709,0.7727818982557934,0.48503259169738644,0.610327378518423,1.0182105528009313,1.5941599197929492,2.0679620234459235,3.564179059808618],[0.8536138672332025,0.5768597360311748,0.44214273147021055,0.3895764486983782,0.3810594217266166,0.3792337114869669,0.3238163593126282,0.3296469777317311,0.32324104307342594,0.35745856878639437,0.3932723250405079,0.45836307837287776,0.44953156483553036,0.4645529516482308,0.5714354503505512,0.5514469146157086,0.607779438281722,0.6240483838306911,0.6848021254185045,0.633593606316765,0.7338281140938785,0.733393996663774,0.9051979811709965,1.0563192943561672,0.9418783326655265,0.8393002575809698,0.6325089489809083,0.5694037110222527,0.5488425382191687,0.554843118137812,0.6476504997673378,0.5468149916369041,0.691548773261978,0.6816526686894893,0.6100133466407028,0.6253962476311903,0.5381772680781093,0.5754950927749282,0.5542014204088379,0.5586999630230672,0.6529669060487941,0.6140031535679767,0.6374397789830931,0.68899967187841,0.960966314839107,1.3768546340255432,1.3222927148238663,0.8350379472905551,1.3821700027643127,1.3079715489560568,0.8117758100606551,2.511423626927994,1.263037492710126,1.1077500142316654,1.3725636870465538,0.7825244980225208,0.8557625440457725,0.8825296774574067,0.956092919744655,1.271281772169953,1.0788709669541356,1.173855899515533,1.4683658264051547,1.3033919660492104,0.7998503371765114,0.8474033160291202,0.9770048686435137,0.7373091429765868,0.9789294264952356,0.7473335081891457,0.8929405592636148,1.1457056430269406,0.8561221509034667,1.0498567844008588,0.8007421791051086,1.4910928068465217,0.7454093915508888,0.7317165038237544,0.6953556987794043,0.7794567693062767,0.6304186711370623,0.629156182224254,1.1559925305646261,0.6339981719760459,0.6261553287112185,0.5306154824786429,0.5694412831083736,0.6801681638306197,0.658714155756943,0.7180190635709662,0.7115632258447475,0.9126388504594557,0.8247701488577931,0.7223221742406412,0.637860387190007,0.7177959419071434,0.6452153736658229,0.5868987972010266,0.537547694232769,0.7085308314891574,0.5501126878787241,0.5041093676363353,0.47990417507506317,0.46939604837150106,0.539648880865017,0.46140100131963796,0.6022297635630335,0.4351552163150205,0.42861088929699326,0.6983460824801453,0.3537970943415101,0.35996304282983205,0.3511926404378616,0.39487761709799163,0.4490803279353898,0.42954510654632794,0.5390507420414062,0.5184341300663038,0.705046128731768,0.7162595944654679,0.6571107670298592,0.6172659225911254,0.42504185107550313,0.39010426637926854,0.36359656996868484,0.364147702402873,0.3405236861759567,0.39879687636733596,0.37112006090510335,0.445910459673115,0.395588445681928,0.4242252401402284,0.40850406028384023,0.5291068565359599,0.47941290516729634,0.5564201000659752,0.6421766473552528,0.4555947305795663,0.4980251681876855,0.4318064032521073,0.5702115595042705,0.6535681228246997,0.5758971664337468,0.5511144102757393,0.5523302886487251,0.5357871495200938,0.4724297954033642,0.45556769013363757,0.4034751355453841,0.3814864191322851,0.41623495762621693,0.4926772652475894,0.7195935083929298,1.6311572321515062,1.1033979239005034,0.5584488457194987,0.4316710025907323,0.4087441767881056,0.45869043592537084,0.4318919494940028,0.449428004012169,0.5089624782261989,0.45516178239126737,0.5025490647477873,0.49026778033816487,0.6246716350372721,0.5245315438051165,0.6426361331971326,0.6445785517121155,0.6370957800762914,0.49375591793962853,0.4581899009418309,0.4943813664904411,0.4672844046813266,0.4568860950826117,0.47606490244678706,0.49822014840652507,0.6574778544424978,0.5110944391746725,0.5219881723265655,0.47943338343372527,0.4316216911614014,0.45733247682055644,0.4517289207806558,0.47796158331170263,0.6531831978390172,0.6967804024781472,0.9454543264645314,1.0916797845687316,0.9105070458386428,1.149755732876874,1.2307654152037588,0.9176038235926465,0.7273406988855313,0.6098115205545787,0.5344700632591793,0.5368050667395086,0.44683377327571033,0.48993456662924156,0.5013838080471903,0.4084690128569034,0.40760215061904825,0.3964034275413456,0.42308337534709745,0.4039884384654385,0.4177708035932302,0.6157854265888549,0.45457117624429827,0.4526224302597153,0.4424070151253954,0.5058521252095373,0.5162195261977555,0.5474615901419465,0.6293979659795028,0.6618933170178447,0.7002148319388414,0.6940153493645526,0.7119994746868509,0.5609665469639679,0.5465262142574786,0.6241007830389237,1.8699780940813342,0.9552973378514866,1.4960490024775384,0.5931861280212561,0.6082514832752108,0.6635349307246513,0.7346422101101869,0.5202670171021674,0.46105821974580746,0.734143149786631,0.7095243962815063,0.7513032551358632,0.5795921358171328,0.9464235184831836,0.7464251314023689,0.6947965767558891,0.9733783269530277,0.5399238508627411,0.49716587055566747,0.586833928203161,0.6516696699718032,0.7970844416189485,0.8784425523284095,0.8850624932646491,0.7104670409243736,0.6477162046940682,0.8957107658545456,0.7452582820785006,0.533927503331576,0.683688141574144,0.7583758453130736,0.5633643750224379,0.5960815282671043,0.7886559066388036,0.8411842807512749,0.6438537490592018,0.6660189500159253,0.5845209791942401,0.5299937558217155,0.4815598284155563,0.49992312341359824,0.5013613747801714,0.4627338242833806,0.47435555517895195,0.4512429480691757,0.5046901295931611,0.4551809879552216,0.4922878846352865,0.6805963199935909,0.6048932067804723,0.6129563633982861,0.6704560574088564,0.8946865167140305,0.8193704683101316,0.8071108783996339,0.9970971380223993,1.1558478720239593,1.0116174282626769,0.8246174207430744,0.6946115832304306,0.5841200632105028,0.8432959423135545,0.7958268743326126,0.8975540507571474,0.9237611787689064,0.696250609460132,0.5588531782410646,0.44526447383249007,0.3794328997578953,0.40317751418822656,0.4046256161753238,0.44417777694625277,1.3657982003305023,0.41492204264151694,0.4303893945517259,0.5210750629271567,0.7625229072565531,0.4426297182658925,0.5636305967248333,0.9096733819897621,1.573156849072015,2.087003132236614,3.4150030601260783],[0.7281246628497886,0.5599925715781038,0.45799487149931506,0.45057541906417403,0.5032561181528361,0.49595348183480326,0.44639635323609606,0.41107344486359687,0.4040810138680516,0.46484831540873045,0.45968461395842564,0.49108672883388804,0.5287195295208238,0.5487736735323234,0.6135971217457211,0.5942935885818291,0.6753174795029318,0.694775688088393,0.749845183638376,0.6949484064235605,0.8140009718042915,0.8317086467657614,0.9495700584647311,1.1413735396451699,1.0485164465738954,0.9052062264549792,0.7354311867938391,0.6576676679117198,0.6157250833032059,0.6084072119289425,0.7128843525823403,0.5910776074647733,0.7212101659997694,0.725559310818027,0.6589143583618283,0.6999786708291644,0.5776626138987131,0.6600804515033012,0.6280206087323978,0.6176796933319422,0.7459519734861955,0.7376864021910209,0.7657382866993648,0.8400639826437039,1.131812867882148,1.5115902391332856,1.5315857793920367,0.9814047407578115,1.36105392652369,1.4105148768156548,0.9215990964654781,2.366781785260155,1.1654100884852703,1.1137954127140592,1.4897569842542442,0.9059323229384922,0.9613791775340892,0.9577385589154518,0.9347230270210118,1.4025206129673735,1.0376197387369903,1.0705056538767588,1.307740319723125,1.2543454960165,0.8677707426248045,0.870407797232071,1.0241510826680171,0.7734289493365982,0.993537190151339,0.7990688524508602,0.8860085204605381,1.0701681628745894,0.8906767918800886,1.1068441402497609,0.8380688348508896,1.4832451496987653,0.7693800140252536,0.7764395515745431,0.744599366727663,0.8463762366831168,0.6784187568401052,0.692129746009984,1.124316920671277,0.6540369357085782,0.6879723645147908,0.5889247683706464,0.6378247754053645,0.6960167708136757,0.7227607283988712,0.7550891542236744,0.753403134879232,0.9900187020157477,0.9177496657945754,0.7663279368854711,0.6861049864232868,0.7617128904521632,0.6836664854723145,0.6299178368508823,0.571098955524601,0.6756028905768405,0.5917001050377648,0.5344247226126224,0.541873369178015,0.5087241545650415,0.6270085036386837,0.5737096629626711,0.6544791056013931,0.4923793062342246,0.47801701975872557,0.7118939819624227,0.4399163031783696,0.48990354491579086,0.43883235597253295,0.4963243673058797,0.5628100722482998,0.5484203883148663,0.6539868426512062,0.6419209360596907,0.8014107163748966,0.7791379849632737,0.755223093939433,0.7258938611469237,0.5902536506947078,0.498816016532426,0.48491103851995737,0.4884899431334604,0.4317534948814583,0.5024567844039325,0.46675547527776207,0.5725171982927416,0.5297431535851427,0.5377302575084792,0.537880775939141,0.6074945855829776,0.5825027006050074,0.6983504822722804,0.7187800822835884,0.60369400197229,0.6346891352592968,0.5725286938923675,0.6908105469313358,0.8127787573817937,0.6967146353961964,0.6551922061630733,0.6745456659801061,0.5947766081490953,0.5670128037677015,0.5477623510600078,0.487938439822304,0.47260460747198574,0.4767503620421216,0.4916294513250053,0.68748720497809,1.494259725995158,1.0599509524992345,0.5276057618151391,0.47220347520232625,0.45459658892374044,0.5074275471002809,0.4853209760212453,0.5319935223188001,0.5726892031681275,0.563866828926344,0.5898600188720701,0.602933317290027,0.7346768416281175,0.6632028669706408,0.769480732234691,0.7509810414716325,0.7309965016457698,0.6224295475605129,0.5897250910676275,0.6105761738590842,0.577708828745425,0.5400555771252219,0.558387747489023,0.5643460917359846,0.661985674451556,0.5668022820489633,0.5785764890337264,0.5835474699229436,0.5373215839967667,0.5578967436390878,0.5791423595258733,0.5874275192045298,0.6989944238709478,0.7540909306031821,1.0655894349011032,1.148607598643987,1.012180669279245,1.250256361374896,1.2720863434828578,1.0291953617311838,0.8271937008329752,0.7434981510408182,0.6915985362279479,0.6332149364324053,0.6138162443200514,0.6286937564751731,0.6690200462439867,0.5523089513125246,0.5227927730852956,0.5360078134056565,0.5475846113545313,0.5088083975326989,0.5035672909279473,0.7041335812861509,0.5404542376763382,0.5102665622654651,0.5075225699888587,0.5696680327192314,0.5691841601269183,0.6034806417763457,0.6557826002721497,0.6989764977181331,0.703152313745781,0.7394200941239945,0.724769697268135,0.6231476427613339,0.603699915716247,0.7006511505247799,1.6867710802664482,0.988643581861932,1.4879372224145448,0.6553595957928702,0.6516634867262779,0.7155460875423183,0.7621932652584967,0.6147178329852794,0.5666056121155714,0.7829274807434907,0.7552406704089805,0.8052892576939572,0.6814053810695075,1.01986170704567,0.8946173175137228,0.8118028134766699,1.0860534970981035,0.6844667736645685,0.6480791475841855,0.6525827170019153,0.6599072825708173,0.7915558399851079,0.8535119428535888,0.8744046902668262,0.7137831438433947,0.6398992856147099,0.826838766071126,0.7386808344982999,0.5407452641189786,0.6570743426175948,0.7547301198098876,0.5554832539250221,0.586410816254068,0.7774988900796389,0.8658302061367089,0.6443186043319996,0.6451412593088796,0.6057743934086726,0.5603961571285894,0.5231965641308678,0.5425501508635447,0.5396870340450052,0.5314670647499807,0.5590901902511589,0.5416677888336716,0.5876592098004623,0.5602714792204134,0.589151642967623,0.7961199440136275,0.6756981273245594,0.7150588186582374,0.7846911074065577,0.9821849194805761,0.9073043545832569,0.869500253805099,1.107507222759863,1.224554472241905,1.0269072219102655,0.8373495070895508,0.7015105536855968,0.6153109488595351,0.8447980219896876,0.8207332781212561,0.965732126927531,0.9752454939844257,0.7997753390438259,0.6646199022931333,0.5918721539295685,0.5233182763892985,0.5059485026006587,0.4838628299512891,0.461298039561848,1.2540141123591826,0.442375909530009,0.433160213265513,0.5008898791512829,0.6948364436420208,0.42116769670635673,0.5471520229153123,0.8575908795241831,1.5773198274496265,1.9992760191545242,3.229878459741046],[0.7946079190583968,0.5514848393634263,0.426303945895127,0.3695304841393135,0.42509767827779765,0.4171901692535738,0.3016145410710973,0.3335865722457951,0.33735325157821,0.33535113279916734,0.3567013239765933,0.40181012728419135,0.383202309988734,0.4132910799437604,0.5019693375987665,0.4706504769534795,0.5373554458652772,0.5635782275482343,0.6119504694001398,0.5657847137917679,0.6757329908523166,0.6891543336850802,0.8386159636845776,0.9692806673021841,0.9997282604475097,0.8102808559219685,0.5850953677353923,0.4901039394537796,0.4760060930429422,0.48195131499905974,0.5852259164470229,0.48276556195461356,0.600849402495932,0.6081660555749494,0.5274273350598788,0.5475317890854305,0.46097119143902704,0.5117504760824382,0.4844889141673687,0.4936140946703863,0.633026089337733,0.5878288361114753,0.6033579708923779,0.694387935726679,0.9972719834413744,1.4280623957304797,1.397040945091825,0.8111883545139472,1.284165629938615,1.3604376793739583,0.8103912043012029,2.3534675867875188,1.08566416830706,0.9857670464664856,1.477149774125241,0.7994226141299775,0.8933132955764852,0.8409619878507849,0.8575424968436656,1.3373883077819027,0.9543759441479557,1.0356233833795563,1.2945517200313332,1.195468360804474,0.7587467699829777,0.7686551655313324,0.9204602552322113,0.6772611353489585,0.9263824470933564,0.709548644308883,0.8578511182969688,1.1070484264148186,0.8340615909389929,1.0245540373132387,0.7474771605914672,1.4365755206958226,0.6778117672190568,0.6567928382791662,0.6056293031876439,0.6936194651836025,0.5465308148568523,0.5876151313150353,1.0716619268410055,0.5334270711873252,0.5757532206977221,0.46400233163746885,0.504233615154693,0.5990745938053886,0.5651719318631152,0.6391548594416265,0.6326032083093056,0.8568984031996039,0.7704869291494939,0.6479940160177107,0.5753121563777424,0.6658865298754074,0.6091305538046619,0.5348606194457611,0.4977072709211782,0.6736397632241926,0.5090241580018926,0.4926414331865151,0.4252855482602071,0.43063411051392625,0.49098021992289254,0.46481153373428724,0.6013090605372098,0.42452448474014115,0.4096356737131419,0.6500822737038774,0.3653101446144406,0.31613722505169595,0.2866766530477773,0.3227972273598747,0.3613680442852502,0.3600156830810225,0.46866506332379904,0.4655974817102059,0.6699667309826935,0.6452973840889764,0.6195536774054148,0.5534580099506816,0.3901298366895863,0.3285181238999547,0.3020964406901478,0.3156788015148561,0.3344629596587876,0.3444955500752569,0.33912978802776755,0.41718674966485225,0.3866646463069967,0.4115641459950553,0.3781480470301136,0.470318867700337,0.41750510187252177,0.5400051264841305,0.6231574996601321,0.4150125823629685,0.4391635152076661,0.3925853587227895,0.5343162289556442,0.6466731753833622,0.5464882171204081,0.47037478122566984,0.4989329425939034,0.45430250033178904,0.3894178782124819,0.3786988178519392,0.3336612104791035,0.33433426533443017,0.41227926637570605,0.43978240261899865,0.663412620121832,1.5481084748350373,1.0233295954487034,0.5140273141612629,0.39209556018629926,0.3898761493907262,0.3830329035820112,0.38210703277514735,0.3755892222569317,0.4260567140548277,0.39574402340894066,0.4260501224397752,0.4455809322739447,0.6437750721876769,0.516558886836925,0.7023582075732021,0.6891432461340665,0.6674444511449806,0.49405974738771086,0.41559210303075456,0.4273964747884603,0.3975565870607733,0.37998373762534665,0.40747895798222816,0.4541380770103124,0.6152524639626141,0.4445642428785396,0.46268906426363665,0.4058565104044367,0.38125730641070554,0.39367620816135307,0.4316603935955205,0.4623735912070373,0.6634911605961968,0.719674233056593,0.9640076605116357,1.0835522116253617,0.9917813444666831,1.1670496603858653,1.1196314331091628,0.8779097447510789,0.6970977544338824,0.612871443738388,0.5473656188266843,0.5086971618198424,0.47070642000790597,0.5073436292198675,0.5645832512629724,0.4575521390509026,0.46806375383712334,0.45883090756123723,0.47247311661607067,0.45093485451675464,0.47009121621736283,0.6448653538017026,0.48868266523764364,0.5116321650622564,0.49492445139507496,0.5571629250594733,0.5851842151125886,0.6201067268615323,0.658914127816114,0.7175517321974145,0.7000824722574441,0.7834671823102958,0.7299254547419332,0.6138302873322194,0.6110686830208355,0.7039949014935747,1.7864560423694136,1.0166203473450761,1.4938594300928574,0.6233705346893769,0.6464203249717672,0.7090281976617958,0.7186545226468918,0.6141537749137121,0.5010516047649285,0.6992189210411068,0.6356253692969454,0.7621511277945324,0.5842546923695046,0.8932387924195402,0.8393595806465689,0.7685877504994875,0.9894485843568944,0.5893511376047645,0.5020040537783025,0.5680403834403119,0.6351970059754387,0.7870356454814862,0.8941005987107711,0.8710245918375333,0.7209024098167438,0.6795548675520288,0.8845916950296018,0.7800083007680588,0.572020561051855,0.7299834910335342,0.8227579519251945,0.6095313914790379,0.6643664033005195,0.8495207510909885,0.885771900501644,0.690472106353288,0.7204423586382164,0.6373228915738399,0.5885201567271449,0.5341070683614486,0.5359196022020969,0.5575054531343079,0.5201501023482353,0.5216755881107173,0.5045385989390637,0.5458244665293278,0.5049884040543456,0.5415841462258874,0.7283337486169502,0.6090184763642027,0.670503936836979,0.6921059893937844,0.9594291030317275,0.8287221570820527,0.8163552387779746,1.028933155167723,1.1715350045560495,1.034310272738327,0.8446995576546668,0.6915782248506819,0.600785465758099,0.83549458667653,0.8492732422156849,0.9730875984472528,0.9489188996338167,0.7431592579645064,0.5998701146384539,0.47512842229443353,0.40350838819212453,0.49748836118827067,0.46180573072515807,0.46219508745102267,1.2568892437856651,0.44588695999680794,0.45963560038849866,0.5341828889999345,0.7295124271857228,0.4257975563327661,0.5692076625136826,0.8351779338330666,1.5846011685020738,2.091348430023057,3.1599760181935483],[0.6630679832985092,0.5412721489048439,0.47809445664591255,0.373845795205853,0.42677740612772325,0.3917155121423071,0.3432528259750386,0.3502437434474909,0.38072000980925447,0.4156502813349008,0.41663574767351813,0.4474970316614182,0.44661026812310545,0.47188875441563916,0.5326421017975522,0.49730854371339733,0.5801794063485384,0.5959175030215861,0.6409044795920936,0.5899739042559031,0.7019616458971494,0.7370840403701999,0.8398389940131984,0.9964253332446994,1.0417127803960455,0.808587028419283,0.6234766582350778,0.534280002111464,0.5062001137713593,0.5016601759052661,0.6161503295662011,0.5064819679483917,0.6025647554267122,0.6227299090907944,0.5400063529379276,0.5607395799292967,0.46889371226300763,0.5183909761405675,0.5194168102225726,0.49734843552722036,0.6753877514173384,0.6245888907066357,0.6564244613039659,0.7636988353284532,1.1083753119310065,1.5221627021527995,1.5336093825163963,0.9031865030000656,1.2283200607655689,1.4107730987752156,0.8631615992622038,2.227431532811335,0.9810268750595135,1.0091398623770644,1.6036362314791002,0.880327392454228,0.9451198565758925,0.8632615155554372,0.7997428949702564,1.4645158922810548,0.9318030164178401,0.9304411243719466,1.1030586935788531,1.1179512069972302,0.7950769669718485,0.7415451723949461,0.9171536398441915,0.6703401044997941,0.901930395513866,0.7269958927648467,0.8307970567728401,1.0371479690875411,0.8350858206047711,1.0208951056824724,0.7481618621212304,1.3711063651830568,0.6568896055610761,0.6605072085979715,0.6086523991419615,0.7100891278246728,0.5168921742986164,0.5661293002368938,1.0638774137196576,0.5367599812724557,0.5620506614472389,0.467600802796371,0.5056443469186253,0.5747464617644547,0.5812120434020758,0.6538724494260184,0.6481953542273953,0.8890349128423933,0.806797048570561,0.6578203469705783,0.5972045452300312,0.6853451772260944,0.5970473996949613,0.5288019165010214,0.5139402441778664,0.6522753544842805,0.511401427476994,0.5010756593215336,0.45585686710275236,0.44057122181602115,0.5481975261716029,0.5100392378309682,0.639957073967016,0.4657212523090142,0.4629168373612723,0.6917980491345116,0.41543170368181526,0.3949243604106446,0.3604373723466232,0.39770136434815334,0.45541181895725635,0.4381762160112395,0.5342512448283325,0.5221997438814617,0.7081544994082086,0.6656037042570382,0.6595702194911635,0.6277452953824221,0.5009934805152174,0.4087907321860196,0.3849973586828942,0.3861442918078845,0.3683623591729965,0.40912614627597227,0.39453426266276004,0.4792995618003374,0.4295171715079288,0.44919031556747024,0.4412894584738592,0.5129912160094556,0.47669353214126836,0.6583012928959764,0.6347669359043164,0.506201018511619,0.512157703103039,0.44060201157642426,0.5711079602653636,0.7130827026782124,0.5993573612422222,0.5454480770591094,0.5896858221089243,0.5073660131107147,0.46586261729884904,0.45841841131758687,0.38065401443858554,0.38946613006226904,0.4222907459737093,0.4415643892640155,0.6369241158396145,1.4078850970960048,1.0010117832739331,0.4778444295068342,0.4128661172695512,0.4014541630476459,0.43043942198174184,0.42509461271292776,0.4354124286471528,0.4678297078494325,0.45842322881366715,0.4797596668933802,0.508923280023927,0.6814309461478032,0.5789779509417575,0.7579356468123408,0.7364911576216088,0.6958146806041554,0.5331837230517701,0.4864416437309333,0.4934112765220816,0.4742820582893412,0.43929842245195483,0.4467168282347149,0.4638466104030465,0.5699382997449802,0.48059298118870525,0.4640657023904112,0.48401917684967405,0.43363605234855496,0.45071070026911886,0.4814027555061761,0.5069127467418658,0.6647887572266779,0.7195135453787188,1.0430562061076682,1.0815829005514057,1.0705198475456363,1.1904701703924667,1.1289116319148644,0.9572458357491621,0.7908826215929888,0.6977496332768875,0.6385206051316764,0.5631642153746157,0.5326958166041562,0.5480637926927112,0.5925578701468256,0.49217134435340615,0.49278195231803584,0.4911681870754485,0.5102783549943365,0.5017479958913013,0.502501644070601,0.672307850213125,0.5433840067864351,0.5480324016823866,0.557841141176431,0.6236269013451425,0.6486588201266065,0.6948471654818376,0.7283423057926043,0.7834703946295852,0.7837329163224238,0.8361064321848515,0.7880781167998477,0.6601142110972431,0.6465223333129188,0.7630344967666896,1.5963324785273785,1.0671466724734298,1.5056722678085284,0.665866603428259,0.6233555157342784,0.6738643517942235,0.7015284307943916,0.6589661120254383,0.5598000341245155,0.7392957801213264,0.7060717020652582,0.815485620404222,0.6385153299275751,0.8832727570344684,0.9278256978813274,0.8409128740565743,1.0178441186986324,0.6414826703244626,0.5488370964178205,0.5865381599435365,0.6298922536483733,0.758545238783126,0.859166081445972,0.8253826411894917,0.6989178212958782,0.6557074895240225,0.8033076769962699,0.7390464720887138,0.5686720377870271,0.7073904300102504,0.8135982504681739,0.6372046844390822,0.6661484727073372,0.8480452477852177,0.9594551524135708,0.7289643365808433,0.7448783728510939,0.6700414774102667,0.6155897076800875,0.554454414837973,0.5489227043964678,0.581402327329147,0.5534177370296173,0.5437388066998748,0.5662569487530847,0.6149050778191343,0.5628982350363566,0.6174522848056306,0.8458766370038782,0.6774860274794012,0.7320135791250572,0.7688474604257782,0.9963016154378374,0.8764955674427444,0.8393421172274964,1.0906978879776181,1.1866243368255944,1.0427794277829232,0.8542302153223754,0.7278853761392885,0.6372517122895133,0.8134400622725855,0.8299271503870268,0.9728994914388577,0.9489798219736391,0.7636536081364299,0.6043017253257056,0.5057373882827022,0.43237711931005834,0.5099909880688348,0.49355615905196093,0.4636869237753534,1.1794009671954888,0.4828231516044091,0.4624572768472806,0.5262868453769678,0.7147255566597981,0.4289903925148097,0.5639935407357699,0.800169956229077,1.5876447600293957,1.9002673617330286,2.9335730526025543],[0.839665162287621,0.7720002473460662,0.7119263937149773,0.6331688276847894,0.6553489336547792,0.5854192760735969,0.4506270891001141,0.41712902708709826,0.41311919449351786,0.4239437577285756,0.4403018171947745,0.46391515014049506,0.4583272779633154,0.49283244968413426,0.5623268379916171,0.5167087608743771,0.591849326426844,0.6376058803999947,0.6851226521370466,0.6081455068630376,0.7282548547300554,0.773611983009622,0.8515347965613053,1.0112844990218224,1.0598688408139365,0.795040366775928,0.6444227254415107,0.5456177406499162,0.5266161383358681,0.5117622635115021,0.6569092751111285,0.5344738648218236,0.6106557359911519,0.6293762431059543,0.5476523414303303,0.5844767452618199,0.5032934262004234,0.5425619457869477,0.5166396861160951,0.5258672130820502,0.7083732554556984,0.6845211698758145,0.7233617264258502,0.8556757505173352,1.183300194668461,1.589996084932898,1.5989033678975146,0.9544868428716694,1.205066659418681,1.4821884699321233,0.9254037146317704,2.089850344305605,0.9317990721731163,1.0209780460245745,1.7325431897221388,1.010578556316551,1.076513538438347,0.86709663451028,0.8250499540789836,1.5723658145909447,0.8932032738590079,0.8882875737694661,1.0205671012793691,1.0844767685237726,0.8588274784347255,0.7284662548512669,0.9005577036264939,0.707050111927337,0.9242390291996316,0.7855122947880779,0.9154495921994028,1.1581833217380504,0.9514270165159391,1.1192844840389562,0.8094267704247059,1.4027880867353826,0.7081072758012495,0.7010673728224913,0.6212259236937951,0.7209312546867467,0.5429096339507505,0.6559089315111802,1.0243511834850056,0.5558938034712584,0.5997377548143765,0.5092718708582898,0.5402572515098364,0.6023858640931595,0.5965898292701561,0.6887360616926563,0.685846987146549,0.9252233179431996,0.8569690187876395,0.6867845731014071,0.6335088920316865,0.717012464219082,0.6393255039164898,0.5503134369782242,0.5428663534165603,0.6723674583008462,0.5374047842025081,0.5320939616669857,0.4638100175703561,0.4755336362729572,0.5628416590732594,0.5611972258112806,0.7046663607045082,0.6100358473382201,0.6192640143689163,0.7798381297305185,0.5685810700873082,0.4826585750603655,0.42872310025409843,0.445060899190737,0.4522198020597147,0.47099789462985997,0.5430052922511674,0.5385592416776698,0.753652821303387,0.6867394517809183,0.6865176307191365,0.625075314513106,0.5370334512360683,0.44173596558785133,0.44899037113845314,0.4808896085741684,0.5255138001787617,0.5125400301575862,0.566153321666322,0.5932922556808701,0.632704732349308,0.6679023876226358,0.6067923032734783,0.6082471359887957,0.5685594242962829,0.6887908080557648,0.7937040809503263,0.5588232539780326,0.5157087184285734,0.4642553146014962,0.5703753368939989,0.7599443476107985,0.6357985079201844,0.5386249901782282,0.5984957649079485,0.5006999732786795,0.4718736579423399,0.45801425235911275,0.405038763412498,0.42872850016942965,0.4595640089117031,0.46251280594533856,0.6729615620032814,1.3807551169079917,0.9420726438540862,0.48626903730094273,0.443874278803495,0.42683080518122746,0.44458958306456026,0.45246334816278266,0.46903860204621844,0.4743969935333143,0.47266777431801027,0.5011854761918721,0.5429333037081808,0.7144999146386061,0.6505857648216692,0.8404732735181172,0.8557238459687979,0.7916991187203827,0.6514429235166319,0.5214767621836317,0.50321439655442,0.4916741803469223,0.4716558119601377,0.462715467478721,0.49837901337260115,0.5966648542726437,0.512736066364945,0.5241917201948971,0.506398053203898,0.4812592233569379,0.511155397203187,0.5587396201227739,0.5795955756910163,0.7149440812380474,0.8004339625449208,1.0545777907332825,1.1146957721770452,1.1825161273384035,1.2240356032606956,1.04905574382195,1.0102713540879258,0.8844564920401412,0.8548770922230153,0.8105227094156354,0.778988908875202,0.742943461719069,0.8053336254060576,0.811559978630471,0.7534384114602577,0.7314560125721932,0.7265626056055291,0.792892791963527,0.7693030008237777,0.7578180299822722,0.9211563173750549,0.8349598976392367,0.827157867809516,0.8184551297191911,0.8862747725480591,0.9169847374248826,0.9093662322870351,0.9621604626890368,1.0463576429646864,1.0569959039021763,1.115474100768404,1.0931402311812963,0.9794119550518059,0.9759899626954482,1.0466844514219533,1.5608409610311942,1.2662450184524836,1.712714769741878,0.9745084578176897,0.9099255362883315,0.9321690151014222,0.9242051157348545,0.9502110428363669,0.8374491753923133,0.9188817952852811,0.9590344989968455,1.0719753016703581,0.9177814322809599,1.0444911925726197,1.2317083449294215,1.0819121853787579,1.179336816248417,0.8967396196656542,0.7714636972603108,0.8139021711135737,0.8748178631196746,0.9544899764241821,1.0017895539513912,0.9459796683010081,0.9037069780036504,0.8657098969251212,0.9226820849320769,0.9042961763778604,0.8009599387090505,0.9204284256208343,1.007931670285837,0.8532269510565252,0.9095639165372923,1.0672319700278319,1.1419061786221831,0.955685107818232,0.9779519248605036,0.9318020510800099,0.8984431739545281,0.8283980434976715,0.8500956621685023,0.9018190077992112,0.8733418789223674,0.832605498055227,0.8697782575204532,0.8914867941971446,0.8559812685517445,0.9092503282253857,1.1051754533149372,0.9546026057467718,1.0290735154310058,1.0509440348636123,1.245579241374257,1.1292679904038596,1.073768784774486,1.2527897533369605,1.3212003045389165,1.3294215047715014,1.1203384051093563,0.9880419766164659,0.8940348148884987,1.0500261966383444,1.0890807860005387,1.193225937174078,1.1107505556299497,1.001432586038774,0.834844383130023,0.7406586973795312,0.6521377151215489,0.765749290553933,0.7095689318124875,0.6807856206397942,1.1591773318353058,0.6393731979916122,0.6805000670420509,0.6420745350356527,0.7947554630153646,0.5852928106296995,0.6904184446351602,0.8680963497171555,1.6500811482063191,2.0115231527091337,2.7148891501173105],[0.6387580622939674,0.6016023043790623,0.5419087412160373,0.47158565833895705,0.5022085837159705,0.4722378660598101,0.3558788856073209,0.3632033426207179,0.3969647473585444,0.3593324084470223,0.36383549316713176,0.41821278477845475,0.36066046975659727,0.37141285720752937,0.4259839990733279,0.3855103080433861,0.46386647560797944,0.46429771612398313,0.5334441495746356,0.5001702325055272,0.5975297831661243,0.6421538788028295,0.7705798488460512,0.9053389847908826,1.134924633958357,0.7704482624336252,0.5374169968294402,0.41217450248495,0.40516670778331043,0.4126040633876558,0.4959293193195383,0.4184080321578002,0.4870968413445999,0.5079930356620047,0.4270207576295357,0.4472977058802974,0.3992391212234385,0.46087186883949643,0.421726558156398,0.44602445344649294,0.6316423136851304,0.5730320471349241,0.6087753559348238,0.7733483655721346,1.0832094088125588,1.5483783134814786,1.553040164513449,0.8725160191544029,1.1541961859421017,1.4778123024458598,0.873799055171581,1.9984530662137252,0.8290608852944622,0.9345449294269771,1.758383471297973,0.9977641781250686,1.059587184629184,0.8122741880795488,0.7554191396392383,1.605672688229835,0.8040946607287979,0.7633970666530083,0.9108372559660082,0.9375278221490613,0.6881004720442895,0.6348710854297054,0.835483877909248,0.5613817546980625,0.8021714483337495,0.6275328425425406,0.7801139002829534,0.9889503652000926,0.7522284293972301,0.915724219168592,0.6468146740376634,1.244734146316945,0.5380052508853005,0.5228814336304344,0.47655228803344946,0.5843930459532569,0.4305442526440289,0.5720063552630568,0.9594432751065084,0.4803991856372402,0.5412177953566824,0.413956673829134,0.4441142731916029,0.5230891911026486,0.43349023634101574,0.5349248450159465,0.5162956976911862,0.7804975042255342,0.6846192440851577,0.5248572186086401,0.48697441864785107,0.5817813072905127,0.5373337356268084,0.48661262109028725,0.4726521652082844,0.6045557460730918,0.4746027400457687,0.5083711356263931,0.41543315950779114,0.46817703615282164,0.5338718096479066,0.5364624737168944,0.6641635138697382,0.5395688186312133,0.5475875186688317,0.6994278428837746,0.4982650101240615,0.43633095733727634,0.34852354568980887,0.38250182095494106,0.3534445357206257,0.37572125008453094,0.4342634602365711,0.4206353634223227,0.607142467681991,0.5347783381289798,0.5486470373229767,0.5142728962713448,0.44369039048657416,0.35052345291832804,0.3678040994748191,0.40919471575421884,0.4258542386370794,0.44200804996766635,0.4664597329670334,0.5082067361077367,0.5046383161686753,0.5428082566476796,0.47649190643900163,0.5189691915652472,0.46820337804205353,0.6362171328657005,0.6390930084141703,0.4865182450541155,0.4389001760457271,0.3912683364755419,0.509575400738016,0.6814429998486657,0.5382275005301164,0.43149351451732715,0.4944289327617755,0.3897810091427138,0.3721642849404303,0.3855563663063224,0.33355118730951067,0.38962456261185685,0.4625439626848969,0.44357609654481844,0.622524045597869,1.2804638686730918,0.9250880849758921,0.4618318197708422,0.40920502832963446,0.4218639844017075,0.36778162793017394,0.43268413359299757,0.3899417385625331,0.3973383337083966,0.4063215949721425,0.41879915525452005,0.47897481364951827,0.6336076853019033,0.563310328429453,0.7690470618038736,0.7569938564698099,0.7051529627407194,0.5554289731257015,0.46557652535291943,0.4469092634053533,0.43126781703537115,0.4058917673327626,0.40700799487502815,0.41288983023468867,0.524060018832911,0.4484673213430837,0.43300375561490595,0.4433209764710617,0.4236114643428994,0.4239912700797762,0.4756190789085609,0.4880428523296146,0.6575933055099853,0.7609276023594325,1.0167846042500894,1.093642859335466,1.1556514846150776,1.18393825988447,0.993016483197653,0.9055227711635521,0.751775595722956,0.7491432951794151,0.7194431118480894,0.6198026150196059,0.6397335900747204,0.6594427262529282,0.7021224807828017,0.6341086228966296,0.6282421559728539,0.6235029246030451,0.6418103302389818,0.64067115377278,0.6338875004995426,0.7451804760732643,0.6675716788385864,0.6810961900976004,0.6771199155184007,0.7332648100363381,0.7751954918968706,0.8200960651766545,0.848895492001806,0.8981542450139136,0.8530542301178876,0.9528526280610723,0.867965775537594,0.7737900782163175,0.794080468609603,0.9273467916480693,1.5544129588097317,1.2157976119421583,1.5078245361098255,0.7822921924104363,0.7375657410490265,0.7841436799126135,0.7992467606583825,0.7778120017865526,0.690056902037392,0.8438163359593095,0.8159399162626609,0.9203438637308677,0.7798779608824389,0.950463505848813,1.0782896490403,0.9295738389846611,1.1096024625534386,0.7647556805862277,0.67439702290798,0.6947264426941641,0.7272536255842751,0.8322844561361213,0.883772978509825,0.848635220239369,0.7820634607928586,0.7626636736071197,0.8241786867114891,0.7989219148726735,0.6718480417997833,0.797100581735539,0.906589067455938,0.740479518757227,0.7680261722457603,0.9203648616750165,1.033346956345435,0.8109338995515158,0.8306128907680821,0.7815103680851929,0.7365185281412876,0.6919166559307512,0.7028849035945779,0.7161472645240323,0.6967704431651238,0.6831409022701428,0.6923441927099733,0.7229706468759471,0.682377524347447,0.7221363858306904,0.8988905506615233,0.7695032002359866,0.838397373031034,0.8656181660902025,1.0960412362400869,0.965800452330539,0.9354890744312148,1.1764709213111435,1.26413245051422,1.1296508973178687,0.9340895424101655,0.7961100295608684,0.7256277469399991,0.8677790231387704,0.9363721120379299,1.0726222361256594,1.0279107465690447,0.855392554227729,0.684801286496842,0.604959807186422,0.5089265405133536,0.6505411002478172,0.6321593374415809,0.5798389808090905,1.0887485876053504,0.5739391965556757,0.5922332558693066,0.6252104166285931,0.7018487139906718,0.4909196452969391,0.6401467325678243,0.6756569366272355,1.4271950015138544,1.6388995488718723,2.4721996472933587],[0.6326830622929149,0.5967453682556874,0.5395047455749828,0.5611730831965134,0.617270803790204,0.5736187027574793,0.4292814482549097,0.43896536783064183,0.4833959872868883,0.4475756338252394,0.46874251996670957,0.4928816089515482,0.47543233021184467,0.49748570664087893,0.5583876896011735,0.5029216245474687,0.6102446150573516,0.6213428190283982,0.6978246611545326,0.657793694076037,0.7500146899942702,0.7836552108505246,0.9528473992009407,1.078779118852231,1.3017188799288417,0.9362546453151739,0.699506702069271,0.5901020798677833,0.5602412685562087,0.5443391090473804,0.6254032264805123,0.539226468239075,0.5965313115005101,0.6236300837354206,0.5760129756985978,0.5880805190113185,0.543913631347906,0.6049012001264296,0.6018799982120961,0.6431541248369618,0.7779923279483717,0.7251661947414922,0.7563346346173793,0.913869998763686,1.2205653228123678,1.6531806853023938,1.7349754295242155,1.0511488437624699,1.2463099307346661,1.5914540484826716,1.0473049785445403,1.9519282359484382,0.9381651056853907,1.0248318624192052,1.8290323240649684,1.1015672459647186,1.1446705473514183,0.9328878595975837,0.8534529573654823,1.7002794800080552,0.8969798039308945,0.8356729410605578,0.9528997999255356,1.0547551522353218,0.8074144586443287,0.7581050045462893,0.968416189282229,0.7196297304683383,0.9358457676421865,0.7662674822916827,0.8780522132183058,1.0942225686793727,0.8634846173771813,1.0164534859326546,0.7908406865842443,1.389239064467832,0.6977651727405199,0.6791406774864261,0.649295152809295,0.7253100353906266,0.5784699775659969,0.7006343490259584,1.048301467408908,0.6496147552701853,0.6860311790286782,0.5783526411145552,0.6008545340194436,0.6603922670604094,0.603889900121438,0.6462340658397056,0.6622390810134693,0.9090260034383787,0.81072316786649,0.633796401859675,0.5933225103458234,0.6663586128747655,0.6407285924083742,0.5826083323378013,0.5505899864211518,0.652713551298781,0.5455912636989593,0.5643761210754916,0.5202140754186757,0.5699255266968513,0.6350525490041574,0.6155326089052953,0.7357225977372859,0.6892226861877939,0.6746467822765405,0.769094773281706,0.6087947629107223,0.5445326521535395,0.46170269184717977,0.5263391038615731,0.5008542091071715,0.5572715795044775,0.5911427058644192,0.6332566090408976,0.7952694672383948,0.7142638777848815,0.7394434620233683,0.6604828755936608,0.6358320928123636,0.5237988714635382,0.48528186534986995,0.5542563892505951,0.5330645600302921,0.5790029634886875,0.6172545435550644,0.6456059354246969,0.7120571726861524,0.7301341229954175,0.6848709663150834,0.6690440427169988,0.6648749199942339,0.7900886122834802,0.7999711730516657,0.6892797451688804,0.6596591078322532,0.6288542161770387,0.7123778614743974,0.8174017630766639,0.7342896169254367,0.6237148575194825,0.6788839870640202,0.5854471985790047,0.565047036320436,0.5408814492393208,0.46896168843902747,0.4694903975553032,0.5651763469459269,0.5120114641150281,0.6690657741765865,1.3021549961415777,0.9841308015286937,0.5533697542079845,0.5062362107045907,0.5110143604849481,0.4807048701778006,0.5340864130213473,0.5402919129994359,0.5433647511365692,0.6102824375613167,0.6172428568995505,0.6838550536259381,0.8486730552487428,0.7896372088600444,0.9961294321834199,0.9296597461417678,0.8848447735506115,0.7671472849596594,0.6818504611076162,0.6593678640260157,0.6156599484442983,0.575230271377137,0.552973016862876,0.5464731234536692,0.6113560552401791,0.6085416710897811,0.5926593849923462,0.6312355018351969,0.5813070991027733,0.6224889576441788,0.7042766913785858,0.7003917929587787,0.8027788384386323,0.9386288478311041,1.2063312173484948,1.271334104154602,1.3178664234788946,1.3561956736171672,1.0580888484273059,1.0418337571492167,0.9024492184642428,0.9722373050026222,0.9846959669514059,0.8724676489509039,0.8676781033730816,0.8795288528875386,0.8922467363687014,0.8297896267076463,0.7838206487792168,0.7921864287574912,0.8109644249855975,0.7937754066909649,0.7814929608484188,0.8496715391385853,0.8099617485727169,0.8216109976506135,0.8215648481539255,0.8751419850515202,0.916211241763345,0.9506093768843774,1.0206827524363147,1.038048306285833,0.9542020389714008,1.1004807164274886,1.015588385106473,0.932323711540509,0.9560321990964539,1.1014869820846622,1.5410892297601044,1.2928653881604193,1.4885792116653431,0.9087456277742393,0.8635105407709444,0.9385413348735568,0.9847286125755347,0.9763030920411389,0.8929657967373835,1.0090995592055163,1.0297155664826947,1.1129026598241056,0.9874709602047081,1.1151182018390595,1.3473720680715484,1.1676034379443483,1.2825502174835124,0.9761854254748641,0.8815554350391563,0.8825823460547895,0.8627413008044351,0.9164230888454574,1.0065880274083787,0.9135601628698359,0.87800809676757,0.89805705714679,0.9019052211879384,0.9059541635187427,0.7983171807944449,0.8972624828258275,0.9960993376201028,0.862054175359712,0.8989343405418846,1.0332659103968012,1.1723829452072942,0.9522576912976377,0.9701513062228999,0.9147004844720511,0.8809192930268845,0.8269617729907384,0.8456947504928443,0.8749393843176756,0.8440188292640102,0.8405676871163773,0.8670254521090316,0.8844714247281164,0.863157293005808,0.9093416974604105,1.0717736480000237,0.954206545596434,1.0725957556665016,1.0996133898309561,1.3155153343527803,1.1640903448937714,1.104348181020712,1.4003683389680661,1.4196498074974515,1.2751617311529657,1.0936042088420574,0.9319406412277893,0.8546543440789968,0.9811377893798561,1.1062296102773528,1.2669696515482063,1.18676209959217,1.036158677148317,0.8599069385268076,0.8039850217985108,0.6426541866829696,0.8227156204282912,0.7730794116387918,0.6969666849908002,0.9982117675929475,0.6742270703051444,0.7007535649390421,0.6798439809157545,0.72607765659797,0.5386356032268493,0.6771395483718344,0.6514879270034686,1.3235501881066303,1.5034414072044835,2.2757045046141537],[0.5216595474545949,0.5500160976340805,0.5805622376135755,0.6498851471991866,0.686427385472022,0.6444460512509397,0.4670821096313504,0.49667855602028155,0.47743796181162523,0.39326177164164045,0.3816057194799517,0.444056137862579,0.370956033499798,0.3289060879469488,0.37449131553801945,0.35395487730229397,0.43729506121095724,0.4005267725815159,0.4584349971469851,0.4131154613573336,0.5065958049120513,0.5732924777025965,0.7942832339512644,0.9427603356454097,1.2187461556061685,0.7403607774925047,0.500451489681406,0.3473552677437134,0.3928611436875089,0.391825672528154,0.4312077275992089,0.4256378067524444,0.4491489887750828,0.46493843570619353,0.4003621668419141,0.3874914244136748,0.43904588097826913,0.4788529128883957,0.3936537648592815,0.5293340049042514,0.659913512292982,0.5758829769093304,0.6206192557266299,0.8591018551052328,1.1191506892120662,1.5729151530693115,1.6167704505542249,0.8743024154041542,1.0373690193440332,1.4876400466094342,0.8921623313511619,1.658452887144116,0.768736762855987,0.9813696113364715,2.006715804327301,1.2007358202805283,1.2073385573565834,0.8022426704739095,0.7999417731550101,1.7924656621363722,0.7323130556027589,0.6518130989062456,0.7118394736254382,0.7716464412053309,0.6519277178470835,0.5525037087846901,0.7265155903991641,0.46764928701948316,0.6986252295672696,0.5785441976315008,0.7295011803226472,0.9629251848426809,0.7029213998677911,0.8413603898040332,0.5734746762281642,1.139972774349543,0.4704531995139733,0.4427809384791582,0.40554419270584785,0.49250773868975667,0.42795782034277186,0.650336722753852,0.9187586148954217,0.569739892018039,0.5800411819150555,0.45225335059271465,0.43918285450064776,0.5499169479086683,0.3786202565886276,0.4857844508606633,0.44565967928806144,0.7031840167833415,0.6036011958339851,0.43577663550359963,0.4195891442824567,0.49913089749089623,0.48916570871052656,0.47086060875138486,0.4947139090359662,0.6606323750413691,0.5070954737093237,0.6150558573266509,0.5122606233728395,0.6508491671972133,0.6156904278253433,0.6440162348887789,0.8273239648798247,0.7488145680382775,0.7512470008951871,0.8104211680761537,0.6935771573148247,0.5477799675307494,0.4630469730274202,0.4561670059590373,0.3586389481256592,0.3536253627375866,0.3880805958434457,0.35096510424190847,0.5652665098636898,0.4280436383291018,0.450676250967705,0.391476247321871,0.368915586128247,0.31390220319036766,0.3640837314952779,0.4909963343047313,0.5796385858055029,0.5659507975888227,0.6470293287412424,0.6330740447715099,0.7067833893422908,0.7480923911685237,0.6496398468200113,0.6353572473853536,0.5661464485323577,0.6330941078755792,0.7166283762684378,0.5425435932764407,0.4086818097136982,0.39943211020611596,0.4707229416275015,0.6851948458923995,0.48323841645972954,0.36990926055217893,0.45622814125026256,0.34760952179735005,0.35582107645701705,0.40793773878732803,0.4279537948266021,0.47965586813105127,0.6112282267829202,0.5433077597441844,0.7126449952318951,1.2579242654215597,0.937525477954884,0.5817726907441194,0.502819939714999,0.5557007583126276,0.42911324664310263,0.5327504402493025,0.44894660547475895,0.40274043271866933,0.4218446385972946,0.431869961891623,0.4872429640637466,0.6344039960938571,0.6352414731984766,0.8632295576544345,0.8368903653726312,0.7733477395494784,0.6273098080893785,0.5033347713563583,0.4759508838803201,0.5107912431921839,0.4714596872680644,0.4861018539687619,0.47767404479672293,0.577101118628923,0.5030945173805919,0.49538335360791264,0.5080267211141694,0.5086198787265774,0.5266783562806389,0.634914137282267,0.631175966429851,0.746853878642049,0.9045124947785569,1.0624248393072981,1.158852358863493,1.292651136015915,1.2910172180773156,0.9430046145878026,0.9424172700560145,0.8309519788560018,0.9395390483198702,0.9390537331007905,0.8282331459082665,0.8880405346794691,0.9081179545909555,0.96606765906563,0.9174434953235605,0.8946209497396651,0.8972493798438851,0.8986842136954731,0.89156414998089,0.8855259103402359,0.9322394211989579,0.8844164744691444,0.8974225824175178,0.8968476581754247,0.9351020853378224,0.9488357730608952,0.9787451009494181,1.0614498397854402,1.0238415876219582,0.9378752983239667,1.1153317485738143,1.017092598118519,0.9724872157992135,0.9841933112207916,1.1377712755476488,1.5232148205082905,1.3233128235288962,1.447802846327661,0.9672681768184709,0.9423319541259593,1.0298077125683351,1.0517525240583467,1.058734871995445,0.9687464376543035,1.0441283058706952,1.0537800139882663,1.1445944789337898,1.0209102697810402,1.1356504311462685,1.375581569768928,1.1520021990730305,1.2936374980935295,1.0191826433687718,0.9423285042225844,0.9522936094970721,0.9473162344608964,0.9983498291026792,1.1175560464345515,1.028559630882489,0.9884394134333698,1.0006538168549066,0.9993942432100311,1.0314734857279908,0.913918825309535,0.9767482354815237,1.063941630299719,0.9408215827688483,0.9590008447749232,1.0605108749084737,1.19504773575233,0.9697438501998001,0.9787085802883528,0.9503111279104396,0.9389522949438679,0.9151729368364575,0.920548461494204,0.9237957461482005,0.9074967199751723,0.908271946352436,0.9136168149777348,0.9260708340608662,0.917379939140487,0.9419689812489984,1.0840415777652341,0.9664095906093109,1.071622388779467,1.075118095918343,1.28579132788529,1.1271970523199704,1.0846842566013133,1.35603806215258,1.3825290093427518,1.262694823189217,1.0932484433342402,0.9537114538158104,0.8977615436144291,0.990715312242077,1.137449173020659,1.2811190622659077,1.1965743442961931,1.0897924882233627,0.9244856767539187,0.8695775614278827,0.7036010699254841,0.9550152998528454,0.9080253103407222,0.8303829872144786,1.0151389841224987,0.7956916809483029,0.8110345312980273,0.7801476857351176,0.7978956790798737,0.618878731592807,0.730620239685854,0.6104498834561137,1.182131505880229,1.3203888507454618,1.9639419910025409],[0.5017805547666522,0.5309686905101425,0.5047780061001266,0.613834842573343,0.6648278001915207,0.605725869600182,0.48073775447745853,0.49738278314732837,0.47043229466111114,0.4264314617328627,0.40445997846060516,0.4643325927460742,0.4278669118918816,0.3743504756924448,0.40437373843808877,0.4049980121101449,0.47822462021930434,0.4363101277237047,0.49040819628021054,0.44897641191193505,0.5116040655886707,0.5822826588356994,0.838704695284812,0.9602414381508614,1.2560080971243592,0.7527400469428841,0.5420911548067755,0.40479981383526287,0.4508726010083914,0.4488415748340745,0.44880922507143883,0.4723900086252342,0.4772505934746926,0.482360614057867,0.4501291298139951,0.4318247795788844,0.4946106830357454,0.5452033976476055,0.4585042806032248,0.6019095313640727,0.7014109449886974,0.6285866819274062,0.6716708571415816,0.9060972286212843,1.116801042316592,1.5605955450003444,1.5965234161898323,0.8874308984267606,1.0405341943374975,1.5013986198117506,0.9118749766701502,1.6069969691571964,0.8095196384618145,1.0329814023539419,2.064323013696044,1.2655203461905127,1.2681827884081767,0.8551439729611181,0.8597859620212646,1.8699611269070582,0.7581847560747403,0.6563918916972353,0.671920372837702,0.7181692626409208,0.6829381741433699,0.5678178240129605,0.7070181758772146,0.48331764389346127,0.6742001677985955,0.5813235590727325,0.7414453781079371,0.9889528430115253,0.7075776733684771,0.8080504410307829,0.5643077647145911,1.073377773191273,0.4946960149397788,0.461086070711345,0.43870357338739313,0.5231160182361112,0.4942052942813086,0.7155631330435657,0.9224442933032924,0.6180262351835492,0.620466384221943,0.5203705489899811,0.5094404616573919,0.5819459516446871,0.42761299744479575,0.5090930921029935,0.4553305367340777,0.7118800604586542,0.610480834868782,0.43992194926804784,0.4395496446770719,0.4900389992821067,0.5068112731851769,0.5000762068986736,0.5147872161661123,0.6467531775756948,0.5278507063435709,0.6174118837696843,0.5343758502436691,0.6603229611237023,0.6390718538950322,0.6550832050121895,0.7861292709356734,0.7311150537262657,0.7183327800143866,0.7692224898323188,0.6773522257736089,0.565775443314982,0.4926929481646803,0.4998114053867489,0.41578835029115824,0.41850037807741663,0.4358045524747749,0.4195555043515839,0.5977322279832398,0.4430795862139802,0.46978774547820024,0.40866007273473887,0.4085821011112784,0.38066304407142404,0.4248030700240954,0.536315785573739,0.5914908383649407,0.5829920189389985,0.643718204350207,0.6327881619864677,0.6811170528970535,0.7113061753252898,0.6288904490049867,0.6276120998758963,0.5692067266770339,0.650330344785045,0.7057649464663764,0.5685502086587315,0.45441778907945707,0.4570413591923921,0.5097396197437263,0.7144768220145826,0.5254468177584437,0.4316991514481112,0.5075535081065986,0.4169671540655697,0.42799152195138557,0.4676171585325227,0.47843191754818204,0.5190543286483433,0.6186584144667772,0.5657877359143257,0.7194845435085123,1.2606168089127379,0.9698904701546679,0.6071291040089714,0.534090417938424,0.5675378285329479,0.47103504398610746,0.5586972079410569,0.4990193740518506,0.4637556929660247,0.48257819565814036,0.4915219065142009,0.5264860022399372,0.6534994708928976,0.6422182122997142,0.8540107302319055,0.8179100439345347,0.7668886191336179,0.6317485376274141,0.5331430455253019,0.5142584944261133,0.5542538908720509,0.522052132037751,0.5239045539503907,0.5211958149173169,0.5914882443523309,0.5571633079545059,0.5414692951463577,0.544240923563632,0.53193746508045,0.5388099434564628,0.6424862255534609,0.6452878034172898,0.7754053932777354,0.951724219871827,1.088972394951643,1.1845503367275203,1.3032231739875049,1.295405104911147,0.9601383202064723,0.9435140552909963,0.8220228881245991,0.9191055235102887,0.9027958888409175,0.780798979217291,0.8334328057257103,0.8482799964898272,0.9186112403888517,0.8342163471688085,0.823940166938896,0.8342315771918851,0.8144004685850513,0.7988212417611708,0.7918267992923864,0.84127448204207,0.7866045533738059,0.7964601752097694,0.8023548164077364,0.8329228295316089,0.8452614697529488,0.8849536081009891,0.9680733668364997,0.9496226822057134,0.8974606058671638,1.0023459941424662,0.9249564853324834,0.8608436365889289,0.869769985446049,1.0401104080884342,1.4644134796356565,1.2564459571899143,1.3956201248647817,0.8748580691589708,0.835200859140219,0.9228285989359761,0.9579477446168193,0.9458538774333606,0.877807099745013,0.9707068896555054,0.9945689463135404,1.0653692324024144,0.9414505401175854,1.0908242572510702,1.2793761635298384,1.0886521208608213,1.2458016440275608,0.9412730969521088,0.8826207169761032,0.8894654293305154,0.8747741256243846,0.9409970173815949,1.0184105288587262,0.9741327658020692,0.9186367630132594,0.918578319534679,0.9151521326113511,0.9493313909280282,0.8126048313378157,0.8562745473138371,0.9340379247896102,0.8299885195683393,0.8347563881048587,0.9284404860475872,1.0959246788040076,0.8615254312195834,0.8648484447115002,0.836575065842403,0.820329748360372,0.8055473614580593,0.8335243392428303,0.8221920379867915,0.806331273483308,0.8255044209418503,0.8253390058133656,0.8466710297568678,0.8265212026459039,0.8638903955685562,1.025474009433095,0.8884696826939009,0.9842969513366309,1.0071371671414797,1.1921550386844542,1.0570532029756783,1.0013476306769395,1.2808561130466385,1.30932982236887,1.1154248101294955,0.982211963315521,0.8723488215975268,0.8252748567845577,0.9205430575759713,0.9926460587697651,1.1332327799172948,1.0845619948083738,0.9852284496201988,0.8479428282327487,0.8134524400809898,0.6655370872814945,0.8676042425565101,0.8584173096190068,0.7668451221235024,1.0101089146563489,0.7570759304905497,0.7344510898426573,0.7128851773114591,0.7850149386740668,0.592064206849447,0.6550137784118409,0.6056806720907887,1.1981978828933866,1.2312346437811088,2.051473988111912],[0.5359544922495518,0.5350950237720821,0.5418315475808768,0.4094707697110276,0.4853672288086403,0.5262097144017991,0.4911337188596783,0.5175515402554866,0.5736628735369873,0.5448441880009657,0.5570164937380367,0.5740123323826196,0.5416201144170928,0.5587867899552502,0.5990934680248282,0.5676361241474902,0.5821585734514845,0.5754506581697106,0.6054914806126837,0.6197997545413769,0.6744016229797998,0.7329257032802841,0.8794316529419316,0.9753291953133862,1.2686355151927873,0.8652204678141142,0.655057203929624,0.5740067625072921,0.5625066741633338,0.5417837701401907,0.6159802165540366,0.5797457402577703,0.6185181304938056,0.6391061663038459,0.6017736533045279,0.5656194401449938,0.5633820508133197,0.5856879580393876,0.566567348462393,0.5902350393846907,0.7505455176948348,0.6737865766657203,0.7095052530682479,0.8817524347660485,1.1768746949900706,1.6398711000303674,1.6927069144245845,0.9684650513364935,1.1619651505188422,1.547479073683977,0.9876582639610312,1.9584251454422694,0.8881953511891512,0.9937973886719174,1.8000952696997048,1.0909924310172838,1.1321050251362357,0.8981556911630001,0.7951332018178514,1.6913379843598437,0.8539553975786355,0.7805053994241352,0.8813473659658222,0.9809854047132595,0.7645351318691788,0.7156383118147455,0.8699662183429612,0.6350715133793716,0.8055717684623672,0.718325135332733,0.8065809894971572,1.0436210144833913,0.8049320890286471,0.935787710323962,0.720186306341672,1.2335794861550753,0.6376630060012882,0.6210066522697166,0.6046614656913808,0.690925271308642,0.5862766520894939,0.6479790096316397,1.0291307737476911,0.6492698640875156,0.6870524626270847,0.5553467234634306,0.5526947559079337,0.6382076174929127,0.5783363541774712,0.6557554452722021,0.6344823609735502,0.8885420427805012,0.7536146088594434,0.6451506949495488,0.6278251629928393,0.6988219654082014,0.6813395394116327,0.6227420236525565,0.6166940777597993,0.7250494130052176,0.5775389412869283,0.621637857158325,0.5665390096119178,0.5857019456650381,0.6563273786492411,0.6254078076281263,0.6904654744919052,0.5925057676772914,0.5499143291706433,0.7210355065876795,0.5466854907103997,0.5243359647738821,0.5052688225542222,0.5200442892929487,0.5595405925130494,0.5296181712042606,0.5925274786787423,0.5492521755549198,0.6990726833380561,0.6011114163627373,0.6285765160816651,0.6179641975117167,0.5929781153229728,0.5320170648401269,0.5452508560240502,0.5081501756131095,0.516323650756424,0.5423961746110908,0.5198170687698986,0.5775228478787979,0.5475243069659796,0.5612345273424761,0.5491152836793518,0.5581711210173687,0.5482796139866554,0.7430521847665637,0.665365885881079,0.5830377446172139,0.556572213848803,0.5476417766866617,0.6092590211862157,0.7528618429917527,0.6432674216410286,0.5895185096018644,0.6296081594822501,0.5725138327240005,0.5611599270308543,0.5664385662564841,0.5196162968266917,0.5422639692751464,0.5646927987728796,0.5854773856936476,0.7249907763203747,1.324886078414576,1.0525903747012741,0.6112320848420909,0.5683640251064194,0.5523673969715527,0.5471723593081455,0.5632505485857949,0.5391040051087039,0.5616932852202217,0.5641452799664386,0.5840283396498334,0.6013990720461208,0.7182472541141259,0.6303639509337773,0.8200300581959923,0.7897085974851518,0.7260818387823761,0.5945823173059246,0.5647603373997192,0.5670798689249805,0.5678348660609392,0.5476796501130067,0.5524828461999858,0.548479243022411,0.6311311101747752,0.5907719963864942,0.5901574296767853,0.5762100087353813,0.5617602666281163,0.5394881292872247,0.544706330267404,0.5624056872262774,0.7014605831568538,0.8265491166986423,1.1859757372122994,1.2132100915246196,1.265302269802957,1.243818586866525,1.0095202088732258,0.9710788675385307,0.8362668319145281,0.8326138614168006,0.777557398345438,0.6542959596156422,0.6458767470609906,0.6553979587539149,0.6932735509665217,0.5847036872474849,0.5668754998455463,0.576610955389352,0.5801096467572431,0.5575060779839697,0.5498412747491243,0.682024827739284,0.6135992139682223,0.5851555198005121,0.6049620568247892,0.6653880928783753,0.6951382344962659,0.7354787873052253,0.7906529253331254,0.862095331616784,0.8746597550934603,0.8620490469343595,0.8601605477207128,0.7302520837923493,0.720517272255219,0.8901376961174142,1.3973770875938114,1.1852243771355349,1.46187300440148,0.736151356125001,0.6395892109355134,0.6812441114025711,0.7174460082504738,0.714774810995979,0.6298309341707788,0.806075241792083,0.8768220837025014,0.9336469590964124,0.7684240070390291,0.9345683526047006,1.0902562574677421,0.9514937451454742,1.092595932376253,0.7373174855373116,0.6663505504265359,0.6705437806631005,0.6710780875420501,0.7555463148989131,0.8105474292597241,0.7629830724750614,0.7060471501405079,0.6914393873152471,0.7100907616791706,0.7101421171817425,0.5748980540263706,0.6747447746306435,0.7852766965060999,0.6414996354450934,0.6576965711867622,0.7955646136673241,0.9543644658104897,0.7297782375250599,0.7434712709925204,0.6822745030511023,0.6386996859615425,0.5791913186614904,0.6217424568462253,0.6564556085854664,0.6208346613505156,0.6408895241841301,0.6720559585575344,0.7251541520388572,0.6610031563745816,0.722698404577731,0.9675646203236488,0.7785021594670969,0.8427849130919802,0.909414491858848,1.0941548029584596,0.9674551684833472,0.8942997687062847,1.1770328225498092,1.2127083164153922,1.046244302657707,0.8946399113257912,0.7786366291922757,0.706094310042772,0.8454324682383573,0.8159875665768481,0.9640913475037773,0.9372060429715514,0.7943902664639826,0.6397285916726747,0.6020511227706079,0.5130996914747983,0.582064262154317,0.5989785886789732,0.5212043266584648,1.0386348017238716,0.5639379043962469,0.512393159906857,0.5222021510496475,0.7067084547247457,0.4519114926583114,0.5537359301411634,0.7389271862324533,1.4953428314833273,1.5914781406698841,2.4955008040148314],[0.4693624341827794,0.503770077148006,0.5634478338328132,0.3180235777050915,0.3678460440423857,0.3464337047007815,0.2279669604540705,0.24419821777343265,0.3082791665063754,0.2652097149576566,0.2801217560380738,0.34969305554709135,0.2846652794463165,0.27018172241233,0.3228224874283274,0.3014544092814956,0.3928202046279463,0.36244689416174547,0.4297166013432565,0.3803429667748351,0.44473535826100674,0.5333437379371012,0.7305289885467906,0.8603162589450796,1.1723597872415819,0.6875669312344098,0.46799350967433395,0.30152673736820507,0.3256678290812297,0.3154793221918728,0.36695443593929494,0.3361040117462195,0.38270008131297073,0.40578667753386793,0.3290465729012779,0.34611252789010155,0.3360505559255507,0.4260480370923291,0.33691199560026025,0.43974394870732086,0.6105489667855557,0.5473842562973774,0.5930976318399254,0.8091338537701863,1.052512639574081,1.5136159863968706,1.4983628169480487,0.8299840092452013,1.075183294638039,1.4694548228180455,0.8531074114845613,1.817206991165728,0.7469736586693418,0.9212959142530714,1.8818076282165197,1.1299754037884273,1.1727531806908014,0.7939788808676529,0.7805135480649538,1.7727864949770222,0.7160365236849637,0.6311137422549095,0.676919887717493,0.6951058496702387,0.6115053381651677,0.5188506172070119,0.6586279437499725,0.42893980919884056,0.6354258498162939,0.530912583394392,0.699582823674483,0.9305886562739428,0.655833517328758,0.7840564081971741,0.5040482608531283,1.0430661135220076,0.4286291398042969,0.39496207176842174,0.36959160584394474,0.4757063006596893,0.3613066250463052,0.5863415070149067,0.8857464472922022,0.45280582067885233,0.4897464144521385,0.36099744470001444,0.38301301558645223,0.4840041740061816,0.34537185120153147,0.4248404225215081,0.386011818563369,0.6633763857367685,0.5719212658754449,0.3966236459375627,0.3882055601718729,0.468153876548047,0.470791652538519,0.40861581962907867,0.3835185685514545,0.4762281118778864,0.35695677843066204,0.3981663155783096,0.31443563553100606,0.40316910054329524,0.48851950203322114,0.435909723445538,0.5309235526105806,0.47277614989017025,0.42937126915196827,0.575871023478073,0.37282042059532744,0.32457565958613144,0.25512320332863414,0.2875339798107545,0.27680732782743495,0.2798091730840446,0.35032200419141124,0.328110718730077,0.5276799898180743,0.38006916825891257,0.41137657536671524,0.3655695631101301,0.3414719835831749,0.25059827413997576,0.2602661550598655,0.31934672942797854,0.3114592078712156,0.3525568837478109,0.3567419041798384,0.4032916246582888,0.40215651808887176,0.423729437663271,0.40796658642429373,0.4288446225740057,0.4043609662976231,0.6100414033584365,0.5711698329876781,0.43217615982456115,0.3484878222972048,0.3125036676234636,0.42653052916563533,0.6311197168078655,0.45563881336893974,0.3372600840586532,0.42723641536583723,0.28613289220233445,0.27654618539129633,0.3020530126879194,0.25812727682708453,0.30542728448245215,0.3501485843070198,0.34146430389398613,0.5468571703469897,1.1249083814520924,0.8613989699936615,0.3803898769886129,0.3127242083838189,0.3150957322874817,0.25285753102720165,0.341678098388197,0.30413744363306644,0.29812867867422044,0.33927306188476175,0.3621174266285643,0.4109165245195358,0.5920284874839558,0.5083922437812851,0.7371717046730698,0.7239518316343028,0.6647726988242414,0.48410565962408714,0.3990626073520034,0.3862615852251708,0.38610147852202575,0.3249861453075967,0.32566583792904524,0.33382710633964513,0.4276679026301141,0.39746383281387915,0.35752156756909187,0.3806475295987189,0.337138943587571,0.3622555866988703,0.44938565114323387,0.4668393229617439,0.6458782550576317,0.8056647661166095,1.0362279448169849,1.1045853930368215,1.1899888909833192,1.2079338818109486,0.9668305975740062,0.8926360952247306,0.7556956509924172,0.7618900591032594,0.7015837666464679,0.5481564753054409,0.5489542686047211,0.5473726006292181,0.5966299701491796,0.489677469056857,0.4708573969975863,0.48113428499997385,0.4841258069630025,0.4635279929669694,0.4645801925640002,0.6153483466863513,0.5230952358724984,0.4999043640808343,0.5315608366196393,0.6012949633525456,0.6151132681836272,0.6555750732772383,0.7343109040450865,0.7910741857176323,0.8208996581612722,0.786390461185389,0.7487350538890883,0.6315360036406369,0.6178846930938311,0.7646544868859998,1.4157352395518095,1.0548223200862394,1.3952055132499144,0.6579786422591053,0.5801244886296637,0.6369742737104772,0.6832526742152776,0.6359399118709905,0.5700889210865643,0.7351328559104885,0.7759757469565282,0.8227302521317827,0.656622613011325,0.9116418113600071,0.9675851885749526,0.8415472681642936,1.0376942751000786,0.632136736688727,0.5813790516933972,0.6014673122513976,0.6131930659216579,0.7148533497924859,0.7508400936822743,0.7534050029652625,0.6474911427891277,0.602536341024455,0.6684793740269191,0.6569826608425771,0.5027618260097096,0.5944539197630968,0.6976128493723407,0.5629667298511445,0.5731964419147821,0.7073494417349908,0.9233409453833529,0.6525598645051847,0.6409747743514368,0.6025646589937118,0.5445409741456887,0.4852033867168578,0.53211172834721,0.5500897074846933,0.5241347716362795,0.5304817131441777,0.5630706661250039,0.6151283629709726,0.555913976669806,0.6083636059689479,0.8556663101530666,0.6781942653630096,0.7227749367720628,0.793881306564452,0.9678490897589439,0.8630450691787549,0.8029443913955016,1.092380578654369,1.1794580237130783,0.9257316891560461,0.8121356194461209,0.7025312306911294,0.6389290974640501,0.8410861916712022,0.72520340910497,0.8587637216518423,0.8897827416299373,0.7129964825901136,0.5390149343894374,0.48575394741295513,0.36547250801546793,0.4609295818864431,0.49450145290599756,0.4306560418862304,0.9655313960548438,0.45331402916400576,0.42037845134091023,0.40910024040948273,0.5834962189492521,0.35046033604617555,0.4996443473953777,0.6731615038403048,1.435561671052391,1.4834299428015203,2.534999217374696],[0.5314526169529057,0.491263640698284,0.4491218181799612,0.317318507393788,0.3703869182774046,0.360974181403343,0.23029428420228618,0.2586005524727074,0.3164151023298785,0.2509863398501675,0.2705274433968097,0.3423237781096913,0.2599521146497332,0.2641794324209747,0.30892814590326295,0.30157339708925074,0.36770668114563637,0.34919290569406586,0.3964289114195157,0.34708326990817073,0.41509674358335197,0.49312920412236627,0.6470993063552339,0.7788993195856175,1.0884546060200664,0.6368089158237551,0.4084168730663388,0.28219991990867827,0.2937367008511836,0.3044543066393141,0.36815106334888736,0.3457497824464479,0.3730376122608964,0.3985918117390513,0.3307803151203784,0.32497697099598666,0.32923726160432376,0.3828508348609467,0.3244529838438432,0.3849445528920891,0.5332412838579041,0.4841926438077278,0.514809346645574,0.7109333237373114,0.9796657330332331,1.4780687606877319,1.3788730151519077,0.7441044108214824,1.11065445437327,1.4684886734762,0.7925517140121026,1.9741014176239962,0.7191756943332296,0.8530568463657378,1.825398320287844,1.060118869737797,1.1517417947226911,0.7380626957921848,0.7395534355575033,1.6611738217166139,0.6822817095023728,0.6763840837462702,0.7531774578861784,0.7129594888800871,0.5554938279651702,0.48514063886617775,0.6487071787168673,0.42449546284823547,0.6483178652582785,0.5163218028063369,0.7201088720118317,0.9102363504946316,0.6648006052836236,0.7672686182431242,0.507517483005162,1.0483054719048146,0.42298231821198384,0.3862953712975879,0.3518876869831259,0.4696939584208326,0.36497652367123223,0.5612131170166075,0.9369017756022799,0.4251699312869329,0.45218062470895065,0.34101626250941186,0.3574602273082048,0.486177703812523,0.3190032253937703,0.43784766229926037,0.3699432907759105,0.6304002617018549,0.5288638224672887,0.3850224384422539,0.3781973752327219,0.4624330582085998,0.4705715119433726,0.40298172975596724,0.3908167203213491,0.5088071488440534,0.37612055333637395,0.43257857210590134,0.3220466817903655,0.390606695627801,0.4537597473423808,0.43546310180362824,0.5856002740497859,0.4386953073768068,0.4234340050640857,0.6206033536721255,0.3653130513770351,0.29651269003308384,0.23326046474945078,0.26471466700846,0.23674304432438376,0.25558718013490056,0.34617941880534264,0.3003205710569239,0.4930452111427355,0.3763950838740436,0.39211876673165064,0.3434516059670854,0.29282978581959873,0.20709141182148397,0.23944221738268007,0.30000166010599805,0.30139330304851575,0.32937129334408377,0.3317731624562027,0.365048032464617,0.3853071797814712,0.42144426958398973,0.37179408446383133,0.4131659927484235,0.36644997046531236,0.5635152891332309,0.5787371248883341,0.36410207745127343,0.30933866753388595,0.2744817394734425,0.4106232365981836,0.5601324120489536,0.4244871494504563,0.33161471532496567,0.3860242584260303,0.2766535963735741,0.25962858088214247,0.2920516803767695,0.23124023710386954,0.3040324779433803,0.3511796163493275,0.3436033221399174,0.5606388278283526,1.1884003799586333,0.8525702515091775,0.38438168689299756,0.3089112184453835,0.3263759068555584,0.25547206553781887,0.33695320690249236,0.2869746963943883,0.29601028672543916,0.29760508761438875,0.32318454080988607,0.36163605861836384,0.5825861457563427,0.48069641625057635,0.6819535141409666,0.6931219659604938,0.6626217709552817,0.47360672413515287,0.3634712462210842,0.3610310680437396,0.3495827864854461,0.2939209756040179,0.3247631056170785,0.3488110295215497,0.480921043290947,0.3661738642293543,0.37086862312725655,0.35014333210450743,0.3228611552871216,0.3427741513392002,0.39959913811159264,0.4364904577239738,0.6195139366989004,0.7359141667280786,0.9072333885573144,1.012218216738211,1.0968714106988606,1.154002103690793,0.9187800506067243,0.8114548635802922,0.6840491999415423,0.6526992508788391,0.5956649539741321,0.5182315641993723,0.5015363767032943,0.5281329762342423,0.5893151525447441,0.4737786406771521,0.46405841715712276,0.47345295155576766,0.4666041634087901,0.4434572494135963,0.45156047099474267,0.626617691779479,0.49053373836643677,0.4792684418644076,0.49121540587811385,0.5482661610213686,0.5725122342294839,0.6226007162543896,0.6847062825807273,0.7279882746644936,0.7520693854190104,0.7427190911172313,0.701647902953004,0.5914535337340513,0.5853986998448852,0.7022572134739685,1.555349867173649,1.016342284125881,1.458461796458788,0.6490690015638315,0.5876453292058668,0.6583173887855804,0.6894550666624728,0.6162062346580783,0.5280244758051779,0.7438815608585388,0.7123266357571946,0.8018133236687596,0.6353367552288437,0.8881550717691286,0.8898203008879295,0.7716072887430386,1.011934911553394,0.6220115146467172,0.5425251636137731,0.5766931274110272,0.6326637091550449,0.7459154721916286,0.8017203348429991,0.7776254919469724,0.6872425742687853,0.6240278643375692,0.7132110704275509,0.6878242917715176,0.5145297305141714,0.6215661967555438,0.7266811270166694,0.5640724546921569,0.5747009876283873,0.7255004416952242,0.8929840905381088,0.6374107710469211,0.6374121650280576,0.5885070702845666,0.5409763674076814,0.4870404350264998,0.5233988220566151,0.5386490129858073,0.5097165109426423,0.5090786306574215,0.5258056112050394,0.5784939744399002,0.5197432806468957,0.5608382781342469,0.7795559735193043,0.6307411671366494,0.6669119494987735,0.7001204158708807,0.9102382058360101,0.8071638923363788,0.7717945150581278,0.981370046325077,1.1361346146752185,0.9323425382363026,0.7727311770132064,0.6681103635939322,0.5744491193413933,0.7891379621635828,0.7736573299788371,0.9054077887008133,0.9448721923324391,0.7350289923945242,0.5758280738212721,0.4773823538849157,0.37100686634110375,0.46672312658252463,0.47340841100219955,0.42030394211941746,1.0197535147961854,0.4237023458573374,0.42068242251048504,0.42061129280811504,0.6202319689684878,0.33389394969273173,0.48502826056549614,0.7081541864339582,1.4828256599958136,1.5790963443247021,2.535420295138466],[0.5663999846659701,0.45709433809832634,0.5106182114474134,0.2958657383849454,0.3201648904177578,0.3558586625104854,0.24397084412746928,0.2547070832999014,0.3058487628388007,0.23454489705356138,0.25786161514629447,0.33433486007442353,0.25073396634552914,0.23395499080810214,0.27341535601771,0.2687886960853664,0.36348383661547495,0.3271670507762731,0.353349906722885,0.31202293935698133,0.373256667294566,0.45827275463120554,0.6024620396990068,0.7209161395472586,1.0096332297756976,0.5803426229663937,0.35459278174245906,0.2553210837158279,0.2812958306344685,0.2817187594651611,0.33296569608703597,0.32025171731926605,0.36063874337439394,0.3826380613826436,0.3102176932426057,0.3039300114315041,0.307819597503469,0.353177551057712,0.2856851332421994,0.3360117040336399,0.49896432731910695,0.4529861759872129,0.4791965879920567,0.6470779643270154,0.9117030529979643,1.4097908461883017,1.2613949894107874,0.6855384146767933,1.1458607983808693,1.425610221980064,0.727802475939155,2.083093122191564,0.725874353382701,0.7879369475118991,1.735695174512145,1.0103482757460969,1.1445987979510008,0.6886331541727136,0.7124590369087653,1.6309800242627666,0.6831261845007238,0.7128207602612315,0.7674247160882605,0.6545784148007593,0.5183743355491138,0.46738344820334915,0.5877090885784844,0.3983074867021379,0.6098775612666694,0.4891847836729789,0.7075767734326632,0.8788740902869523,0.6327237028510914,0.7242554295136028,0.4804094032364099,1.0154214276911997,0.3933797333241251,0.3569849009401076,0.3247252399178209,0.42018630938834495,0.34535176497877973,0.5304414810932547,0.9405929100925349,0.400110397948074,0.430575140294488,0.3113627900756296,0.3326959974764124,0.4669486611430949,0.29322293441564984,0.41778946338826234,0.35607446270648835,0.5937660814536154,0.49062817380254087,0.3487296732255773,0.34427371187456446,0.4150589558481326,0.42935382507126313,0.3795590052929781,0.3662790712251686,0.48611313854521443,0.35608204355736955,0.41369773620884515,0.29464565012825644,0.3658967745353503,0.4375828018290147,0.39520761474764404,0.5423670508670227,0.39328979704698885,0.3673686024814047,0.6038758439463452,0.30083666375894264,0.25331814177749046,0.21794605018643726,0.22546947440199036,0.22583175844645945,0.2222391762213488,0.3292460629293934,0.28979349767743573,0.44323920608087747,0.3466543568455744,0.33969248272549435,0.29365045747180135,0.2578138049109193,0.19063327387758236,0.1927276338650345,0.23743043773177902,0.2439437399863362,0.2962910218630927,0.26310867837816815,0.34761781072567094,0.32904093054982975,0.34931858681451783,0.32861784555882745,0.41967145065175815,0.36232740852165013,0.5423370409112785,0.5749008603605801,0.33140309127451084,0.3137487625721401,0.2598354068203605,0.4022051004220174,0.4918807741500603,0.41959415895868774,0.31066095022686346,0.34539065489582044,0.2555656793507968,0.2261365665626691,0.2661359341180157,0.21272365696225187,0.2778407769271393,0.3283232214009933,0.34696473019863433,0.5630920722350311,1.1835853331277146,0.8901601685838602,0.38475072852804476,0.2956254145368291,0.3022190192323056,0.23234359284342654,0.3066105831375479,0.2637980589246394,0.2655714189746828,0.27601406397570455,0.29654650721699777,0.3360501989886854,0.5740985785564181,0.44145748663975876,0.615628206443251,0.6457727021879642,0.6308874419383846,0.4365761806982993,0.3327322378691807,0.3435117907627156,0.3256276067654169,0.2655055897086652,0.30304653563732475,0.3141324565704764,0.4773340973843258,0.33295274616473086,0.3472889861126241,0.31936285931173025,0.3013161785254209,0.3091248154721115,0.35727232719658925,0.4015009299042657,0.6029015275882867,0.6907544264336805,0.8582241998551073,0.978830504095566,1.0017320266912284,1.0972725708722442,0.9698451251083654,0.7973166300847225,0.6617908495716205,0.5641143075924849,0.5203766328725125,0.4961370745843405,0.42179917499024794,0.4559287142920045,0.5055449867590648,0.3771843308568761,0.3655729776162703,0.37176124802578037,0.38948186530397405,0.36644704982436893,0.3773538023412017,0.6260058417492137,0.4547786951515213,0.4173253018751842,0.4536265575770983,0.5132224696782278,0.5074198163152773,0.5573367202439696,0.6566909911206623,0.6753849587477744,0.7415485808425908,0.6624798256380332,0.6618140527445923,0.5303890236681078,0.5178710219949425,0.5884117794077698,1.6609224550128363,0.8894184511338366,1.4474421999224734,0.5933974208285853,0.5603526115939593,0.6159412973281555,0.660538415847158,0.5262412455626596,0.451592408227587,0.6911900935808517,0.6487274064690458,0.702593722051366,0.5334552991086762,0.8980560064708153,0.7324537031170931,0.6681424389153086,0.9373880970783702,0.5145838004011175,0.46789627370712183,0.5351910829297528,0.5812575957213391,0.722743363233389,0.7738234882085706,0.7826152263224245,0.6386108836883724,0.5475531257922247,0.7128190597353343,0.6415836453771224,0.44994370193463995,0.5652123164987453,0.664693561427316,0.4996031356932449,0.5088528769236408,0.6622925777227393,0.8559947210180785,0.5867122930614167,0.5677969039503443,0.5257845983141068,0.4674807003964057,0.40774153677124225,0.4317757666656966,0.46125458082265913,0.4459887397951365,0.43292308767851423,0.44920259443390453,0.5204645751151068,0.4431913631300762,0.48945373462845926,0.7083536493262254,0.5680188568872662,0.5688326362539651,0.6397943351901132,0.8310157720038034,0.754198263794996,0.7209100999393383,0.9103187610405504,1.0952110144062506,0.8496457638016703,0.7363165845122628,0.6566305427022732,0.5598070655826969,0.8181696972173064,0.6742518516229905,0.771076183472223,0.8576411612925416,0.6461637497942663,0.511892634116801,0.4129750362998823,0.32506787558197653,0.35029034722115776,0.3733852414507685,0.35522062071494065,1.093025449790723,0.3710059907463117,0.35886061563060656,0.3862507924376472,0.6112341399364325,0.35283096688526655,0.5023383700974277,0.8064718318633324,1.5278177053038104,1.7083960331964034,2.903218895301787],[0.6256791593755847,0.4416090914185863,0.3987454084755984,0.2770730916198849,0.3455717012512959,0.34431249299215827,0.2138871687203825,0.2794091009646707,0.3376843781706701,0.3300457569250832,0.33823257558718867,0.4112541934202102,0.33145133937529797,0.32561703235175005,0.37679540317310156,0.37218412903129333,0.4243509715821887,0.4103465659562488,0.42421708731461627,0.3877213473265823,0.42915507324419555,0.49782734265962103,0.6181752428879475,0.7352876077904011,0.9891888894594805,0.573985199996661,0.37584161763009694,0.31934851492322774,0.3700004430880037,0.3662217581795254,0.41911208128010524,0.4068807041402365,0.42204803033050964,0.44298289426170184,0.40796106464723364,0.3657038847079994,0.38652928268585657,0.40442109530812326,0.3523254120590123,0.4029265005217614,0.5222912762122965,0.5073393606991322,0.5220828333404683,0.6867923145297223,0.9127912095743597,1.4093139659671814,1.2084821431286796,0.6858028402004405,1.1697949280313615,1.4665511768510393,0.7477595580721234,2.0925623956528945,0.7342225612884647,0.7653508748631311,1.8046872080315877,1.1001099192104127,1.2491867648927584,0.7145430074711261,0.7815613070755365,1.661730969847543,0.6745822254064783,0.769105627613393,0.7894649569945819,0.6532757777782201,0.548634180774319,0.5089797187850384,0.6127807376417553,0.4747338570583357,0.6312828821911012,0.5577950789861373,0.760293873830061,0.9098689883730224,0.7062844762049467,0.731453093926161,0.537580477559773,1.0169172940645064,0.4690481033757285,0.4140094357442113,0.3898398487578524,0.46040171297034677,0.4401629473962664,0.5820185257109579,0.9942412499646781,0.45220606714429445,0.4726624358300298,0.41398718129971657,0.4224106591939442,0.5230145533278459,0.36489117194505033,0.49473929530156247,0.4186906477407832,0.5869142717365531,0.5130124752602595,0.4030071351728508,0.4044992791403845,0.45617989677322485,0.4799643652279452,0.43225010332549807,0.44105476251940184,0.5782504764397294,0.4395246837992108,0.49961713351151893,0.4132729610139368,0.4455541174918302,0.4659865602124446,0.453912096588937,0.6294392935327995,0.38378809567963806,0.3745525065409867,0.6193080314692863,0.33246593642313427,0.28825739230263203,0.2497344932649666,0.33189976531823734,0.3091184309215162,0.31437817751290786,0.4035448235469547,0.3455829288009217,0.4559409128339518,0.417091060674285,0.3866954574066574,0.3494727643981992,0.2981643881641754,0.2883397258881831,0.30357939339924,0.3361911303528575,0.3003070556668528,0.3155123091028993,0.2873358416255661,0.34728339666384606,0.33277061338285524,0.3942490704809511,0.31057677553877727,0.4256209542523481,0.3402132627777723,0.49608336086839117,0.5797364843362054,0.33448191313073894,0.328335806981332,0.31663778320889197,0.4332168103115188,0.49710035321516566,0.4530115244831978,0.35516890976415216,0.36103346656713603,0.3245111571480623,0.30492553418682117,0.3433035669591637,0.29127034165055105,0.3448904414457312,0.3979845508531346,0.3784481613565538,0.5805663131891837,1.1761779955541118,0.8681420671872898,0.4517927026795629,0.37376548150931577,0.3852794755217836,0.32834397132490206,0.4074415399641422,0.329441768304994,0.358654964216068,0.33802527998756626,0.3439487986672645,0.3678179977703481,0.593103208778879,0.4379739345478793,0.5821241270783926,0.6261996981288878,0.6202874705854264,0.4444753848216523,0.3415330934138363,0.3607405516312776,0.36012029887131125,0.33912969358359707,0.36716160444936574,0.3993111243978998,0.5623902196479147,0.3888934672933598,0.4179847830184529,0.35611709703040145,0.3565245906729046,0.3428650947462753,0.38100361558029494,0.42658828704708435,0.6492733200848534,0.7289908395620042,0.8043263993925711,0.9410322731660158,1.022138843443489,1.0615605289359455,0.8841384364864743,0.7054238987243368,0.5861154869204925,0.4881184098549628,0.47245406595108,0.4902429493313592,0.39363123432264435,0.423420521676645,0.49271806823467085,0.36204216855161603,0.36893240893903856,0.3716183945191138,0.36730380220560155,0.35300986477083457,0.37072349356249845,0.5880527038583028,0.41235141103021195,0.4099147152028782,0.4229164345162427,0.4841156665381306,0.48876497266278945,0.5431120085145698,0.6365981897676946,0.6296187043837845,0.6809923446301874,0.6318022792612016,0.6269236295628718,0.5029491841194342,0.4853481688675723,0.5553112589875328,1.7842315094207237,0.9033615444200919,1.468692688686365,0.5611375984029902,0.5570006961268573,0.6285852976762705,0.6538268576074978,0.49823037286195937,0.4067055527183774,0.684320168986605,0.6001737434726614,0.7090288508196476,0.5285318255033372,0.8513964479595137,0.698936852600859,0.644450614022387,0.8910126472583527,0.49603243217398385,0.4516669574447678,0.5098557722309024,0.5942034923703033,0.7268132271010896,0.8138496565242714,0.7939821293156049,0.6642784699550937,0.579601253105028,0.7476960138441818,0.6851995247901982,0.47151671397011347,0.5974007851364138,0.697205402677247,0.5130040736762296,0.5314938454552116,0.6814817872871548,0.8298537405506061,0.5912215268385783,0.5849248992004025,0.5246917841803473,0.46915389835692595,0.4085088618222254,0.4196143252388246,0.44914341722171747,0.41199182286604746,0.419945760208618,0.40241127864304066,0.46553578983271504,0.40187670738242487,0.44164746538688354,0.6384004960001661,0.526064057204427,0.5476392834543398,0.5951469211800731,0.7996270637638448,0.7084423629503184,0.6745086030387352,0.7978909322683234,1.000861095849433,0.8618325824042606,0.6986772424572353,0.6186248186260054,0.5147799488531679,0.7747061154952976,0.6737600477240266,0.7605592164608933,0.8514019114919169,0.6171264973035406,0.5083814132457666,0.3976316388693731,0.34118927070094623,0.38915156711825566,0.40589063916202717,0.3772785825330244,1.1272255588256834,0.3832208770770652,0.3546249812994101,0.38870855992169184,0.6261215436619499,0.3421702283677454,0.47917596649238836,0.7726134585944276,1.5238749222898513,1.6657851368211922,2.6383980764534805],[0.847174285122879,0.5161017161585381,0.4185575010543617,0.3270508625243709,0.35070435383126725,0.3410394205929323,0.202682788760981,0.2534537425218747,0.30213859282989886,0.2789663825400004,0.32039613359799485,0.4213314367460756,0.30811999031052023,0.29503440962561367,0.38949326966651915,0.36878971329872634,0.41093255453831834,0.40196681313943045,0.38455731769330104,0.3592989636029626,0.3965279899295179,0.43271869557483894,0.5503077465729548,0.650603530720561,0.875007976530597,0.521098904427978,0.322088841909431,0.2943504553040553,0.3444858562852231,0.3568670855457201,0.4265655493943808,0.4211252115019833,0.4442835122502892,0.4715131978591103,0.4117856088552425,0.36186436172149583,0.37754692509118387,0.340903871815774,0.3033041526236753,0.3426631230059093,0.48970664596972785,0.44921392573746666,0.4679098481772483,0.5570964490346231,0.7805206556359692,1.3044325351466333,1.051359334517527,0.6071789855445994,1.2579095827277131,1.4361649759843576,0.7275498248324566,2.2929803815302043,0.8608847246923399,0.7523560563525069,1.634340505903335,0.9834373425779736,1.1914760203920733,0.6745868231788911,0.7600747461827524,1.5084510204343928,0.7461372668248174,0.9013971200289828,0.9426265116231253,0.7196201697258726,0.4981949648046955,0.5037785424857895,0.6340370226633215,0.49799812318599856,0.6523766029912648,0.5715756387152019,0.8096450585330107,0.9748017383260946,0.7465981370350935,0.7329902337204084,0.5481441181046973,1.0448855380971076,0.4810259808148488,0.4251803631126978,0.39704198451492984,0.4865886384114014,0.43871962189663327,0.5263089480388791,1.033232121628833,0.4478851380855544,0.4221690897052456,0.35676076084738023,0.377099020966022,0.5224147517236694,0.3595213206278417,0.5210929439237351,0.42768653218958486,0.5680376082169016,0.47984827628703164,0.4250234987652768,0.418808963528173,0.4849840145643344,0.5019779366246858,0.4507499648396146,0.45646940955001375,0.6219142260519706,0.4521142170528886,0.48661030455572674,0.39103618641653737,0.42554745274311234,0.4309193943082466,0.4288158393197728,0.642825257787442,0.3662793708109643,0.4016811630864438,0.6394480345665271,0.3126583595130487,0.24777747545400972,0.22551960181609482,0.26840312274178485,0.27497924529595535,0.28130444165697854,0.3539898778844193,0.30741276812108964,0.40698108473152017,0.42235832181713784,0.37638429256753836,0.3176307314253442,0.2980004748935015,0.27498948172521576,0.24496572973582859,0.27430378416761547,0.2797337540615109,0.3298053097514703,0.276107995112311,0.3478278767236229,0.3128901033636945,0.3910317115489043,0.2998951813967659,0.4591403113329002,0.3726774694339711,0.48048784047998466,0.584045647427358,0.3139683310035348,0.3369467757395015,0.26529707769513666,0.37468632622487374,0.39915561955882684,0.39866979440504574,0.32041994987944944,0.31629460354582634,0.3150324063283029,0.27073752395219125,0.31639929146773094,0.26389802799959633,0.3200186144790456,0.35922979084517437,0.3826263344080573,0.635973682901118,1.302223498396605,0.9239311028387779,0.46520411804647405,0.36265805473771395,0.3537054688280135,0.3134558218858872,0.40277888870229867,0.2939419539047331,0.321690357278194,0.30400343251876055,0.31287618475213796,0.33134631016657623,0.575611136937678,0.4072942701022751,0.5311120160761106,0.5953350576876043,0.5955111868528868,0.4119990585541489,0.3230494121651164,0.3472551959405947,0.32404821652797344,0.30626061788288494,0.3604402327087204,0.38095173455983006,0.5904632688016318,0.3594086714367142,0.44555503737499824,0.2998304173774023,0.33987059752379534,0.3194105990588566,0.33209691574243466,0.37762293049189705,0.6072860737504766,0.6459559966464685,0.7448104102606647,0.928436561865502,0.9057632028279022,1.0216337239907063,0.9699024605832994,0.7170944759456612,0.591642332381979,0.44556920898048175,0.42443397170409386,0.48914088822520185,0.3509284153251057,0.39919845933169124,0.4549708179652451,0.35808902507584517,0.38788189862344646,0.3523317078821845,0.37113907441333155,0.3825580109092909,0.394046462652786,0.6124667808271456,0.4448278985978123,0.43527052046853465,0.45108601525368175,0.5037624551314636,0.49510749087804096,0.5383382430474296,0.6868391513599721,0.6267054381809323,0.6802969655999556,0.6204776053200034,0.6376415982035892,0.512586618999369,0.49446581390943495,0.5418774843468068,1.9925276590595635,0.8829486463423386,1.5233105205079454,0.5935279975327088,0.6226163774382946,0.6632492343463627,0.6978393739136204,0.5040889797145357,0.4093143018946374,0.7155845786076404,0.6231041546660824,0.6912430519448488,0.5285741802794296,0.942792809859486,0.5959479472176588,0.5954347064612073,0.8355811523500094,0.4578927459256138,0.4329950562586151,0.5327489276123963,0.6430781189682303,0.7711074120798186,0.8547604005823712,0.8319047774766805,0.6999747066454286,0.5963768962849749,0.7892268269754817,0.6837388395656868,0.49541488958788027,0.6247015537190524,0.7042149454919693,0.5216245509108579,0.5439818199410028,0.711119440112696,0.8070550498310989,0.6047126674965662,0.6071058402866051,0.5559504155106444,0.5016297184221438,0.4575528657889903,0.4681279503609596,0.47762770468540394,0.4422224976917544,0.4506979762575281,0.431372352765003,0.4778551372578995,0.418398789232251,0.45883983935598227,0.6093148320112153,0.5315269038374419,0.5253472877059088,0.5927709460139002,0.7630071988156957,0.6837722038098967,0.6687096425593521,0.773098257335239,0.9883631647053159,0.8533937351705977,0.6828927403164512,0.62831978038366,0.5199785868282939,0.7631516003868111,0.6437395897623437,0.70174982351915,0.8137945402414004,0.5781327500150819,0.49421371191555513,0.3939890702515214,0.35976478939553713,0.3576459338586211,0.37705164826562565,0.4113905494347718,1.316056324348121,0.3846674719741238,0.3955560256649885,0.449629986663441,0.7254293222960654,0.43925913353402746,0.5604006608696217,0.929503857685427,1.6231682632498792,1.9382008229241066,3.1625373165503956],[0.8692832085801353,0.5426751742134602,0.45505576230734696,0.3772479504955386,0.39655325736760805,0.34866915741749177,0.21799397146459265,0.31102240822061067,0.33135647610212626,0.33228823358650234,0.3765792605657484,0.510043019787083,0.376942965260361,0.34686827943537385,0.46295878028373494,0.45080701365556186,0.45714690090301774,0.4710364525380782,0.44686310445706867,0.42687930682797154,0.4563129849461806,0.4866239722841528,0.594375338409371,0.6602715536605114,0.8721578621223556,0.5205572142980218,0.36483633108020874,0.36185903944628306,0.4285495867902305,0.42564150772405773,0.5042861489393125,0.5047180099945054,0.5385922209289341,0.5497996598020071,0.5029797827291531,0.42928254940611094,0.4714433861344008,0.40687961859112176,0.34852225476468396,0.367115245408424,0.4980209579823412,0.49551128668449507,0.525821955273664,0.6072244174860295,0.7949077767692198,1.2904025200297278,1.0157549864130748,0.6143564582157144,1.2171161979493397,1.4566429807814294,0.7242209638379101,2.1982052796730622,0.8103772003526878,0.7002139559360696,1.7473459245592031,1.119099829642173,1.3194259841861624,0.7037499337108687,0.8122852861710318,1.5923151111327707,0.7056054222671527,0.8980516803583849,0.887900371591437,0.6939277594793474,0.5204236524388295,0.5402987773491039,0.6572240668922792,0.5733811709124125,0.6848994580626344,0.6236247462669771,0.8504841371749146,0.9868577392168408,0.7916363951430689,0.7570187198501415,0.5879473673697225,0.9782562328518487,0.5478644810629387,0.5098616767252343,0.4802574701141546,0.5065842580200517,0.5053298300118879,0.6045864893952418,1.0162182511910256,0.5025592181738393,0.43646436931633453,0.42399928575189866,0.45792606864501006,0.6155799822266053,0.42885746741485825,0.5811333318239335,0.5116918342497389,0.5862237047686942,0.5586057033314734,0.5082520381752834,0.4961834650137737,0.5557902435032731,0.5608698876717676,0.5348303620979284,0.5476788720424007,0.6942030820684565,0.5331347069477278,0.5587216795738037,0.5034031149154105,0.5091465554349452,0.48989028995648,0.45786432134882843,0.7173813864849797,0.3844003925159467,0.4212187904248969,0.6525670277613024,0.34048931296008217,0.2738941573940781,0.2633256560983689,0.3323211474207831,0.32900318487756425,0.3397288177489445,0.42808294119248197,0.3538948597262565,0.43182607554145336,0.42904999220297907,0.39667006100989727,0.3448622312502714,0.3422214415772443,0.3290226570435356,0.31154728257783204,0.32886495331425886,0.3107424855933537,0.3233611136521681,0.2957170968452538,0.33637657479134453,0.33328300208733597,0.4361437028319257,0.3139920851081183,0.4535180548177933,0.34980829120987,0.4331192509086687,0.6032683167130333,0.3415576266885604,0.3604990258304811,0.3076981817952753,0.4095100637910611,0.4336224619523761,0.43117714726789536,0.3401847960903322,0.33079024534483514,0.3346841729130869,0.30591190627026055,0.3496092649100778,0.3094241979923539,0.37044820819923613,0.38257299355777996,0.39826981170954134,0.6382147729314783,1.236741851814986,0.8714799602075429,0.5265954968244642,0.4502461822421354,0.424333623777646,0.3892206162041451,0.44884776070364685,0.3209931829458597,0.3711377144027186,0.3416187543472832,0.3367034365598275,0.3448256059672805,0.5596026821372023,0.4314141007814091,0.5575989603217368,0.6239997822363436,0.6228255843854161,0.43973693817094367,0.3293722771858648,0.3336134395236344,0.34395903256784555,0.3419349176418436,0.37997889460015155,0.40715075247964905,0.628524137255951,0.3903101233240845,0.4810519414872635,0.34483316189548036,0.37673133456742186,0.35924020396374207,0.3879402566171945,0.4194592503711948,0.6661231410721693,0.7019266120575383,0.7378055699568599,0.9312349506639872,0.9584541353384699,1.0094328727012736,0.9328721072773856,0.6496108386241004,0.5743446893765801,0.4252506356951186,0.44577579304020243,0.5302884180123656,0.3728021964506875,0.4109835199026239,0.4686512670918099,0.3919215170076542,0.40980855247604225,0.37430328817417907,0.40708981681629675,0.4240070440039547,0.4310644842658406,0.6309815565199834,0.49889455006471306,0.4877205626741862,0.5094239894878914,0.5715757832477473,0.5578096353704587,0.5933440707137454,0.7768539824837897,0.6932954792338373,0.7432758352091562,0.668587396172979,0.7135326164817757,0.5914865566535431,0.5673071341456071,0.6013820773810445,2.068659950233737,0.9235158237946313,1.5703383727365297,0.630691705505885,0.6603342889863933,0.6982057528108643,0.7263652992369922,0.5485271753114854,0.4507552275862657,0.7571751373457466,0.6462027545924555,0.746409580405011,0.5856012443143778,0.9427919732928204,0.6235256802872101,0.6312634456647561,0.8087191034865954,0.4835089235978577,0.4621713986113957,0.5543529432406786,0.6873187857113888,0.7997034594401271,0.8854665014063516,0.8477129474813679,0.7313979072221254,0.6294321903536353,0.8210878439731922,0.7300400918598309,0.5278541760925114,0.6561285650875638,0.7355068903537976,0.5565055299989973,0.5819091075749641,0.7463178493223176,0.8312094090796776,0.6605004128659234,0.6668660551694753,0.613263958009835,0.5494663199098461,0.498103822597851,0.5061989852210689,0.5429222954807842,0.4977707221571727,0.49565244898839034,0.49027740639773115,0.5430587269691947,0.46117023687947434,0.5034906078466226,0.6292352965356276,0.5685792060607378,0.5635821152208232,0.6323260073399599,0.781420840514763,0.7047734124559755,0.725522304923592,0.7919248076379454,1.0037376512498772,0.9240902073861668,0.7471264390408795,0.6853530390449725,0.5907797058868784,0.8251932045798241,0.7179565007578493,0.7451584949203819,0.8354626823214188,0.605418244667555,0.5380853059870851,0.4097725613199616,0.39210862783739936,0.4202295474820869,0.4163989475320704,0.42735571133679207,1.2930769436285123,0.4006853372933934,0.4219211801756639,0.46551972126363284,0.7326731695602281,0.4712968446314512,0.5820138369664865,0.9407858664720151,1.6668530554294407,1.8811730273547613,2.802679667993876],[0.981381840076152,0.598657660489779,0.5479159435651928,0.49433347489149937,0.49796079342523636,0.44258675890746596,0.350882055661286,0.39187091760871046,0.3299013941534096,0.35367302717835547,0.3912896065323285,0.5008067629183393,0.39096955866609456,0.3631192927589139,0.479086286977252,0.46094952097913694,0.459150840529597,0.48301643107641085,0.4663507999399619,0.441466497790053,0.48712523398445845,0.5061845656392043,0.6184815743879205,0.7026542812448756,0.8767161010701972,0.5717284806874424,0.4150126532488803,0.41874216117813795,0.442761648547223,0.43877619259902184,0.5173395154003052,0.5374437819564295,0.5692838040198466,0.5894600154822214,0.5237716906812001,0.43614440992660813,0.49135335833669624,0.43345071342883856,0.4034184549421039,0.4163046341247293,0.5684669317203557,0.5132238496054938,0.5204183541596978,0.6087764886411662,0.7872862016725526,1.3018449480623946,0.9912337259971907,0.6301196705455491,1.3213515980900965,1.4828155071991067,0.7681036540133164,2.3268197304451177,0.9194480356099892,0.761134173247829,1.6785529059662077,1.073986266769751,1.28164346047941,0.7459652131280506,0.8486589751763265,1.4839579122988977,0.7774160916443238,1.0084293989296385,1.0283346687826835,0.7869345360255164,0.5722797856312044,0.5757755409328394,0.7079117641541195,0.6032287242954495,0.7120320899205062,0.6460222210193607,0.9067266213523419,1.0989800037807107,0.8286842635888962,0.7998940931091328,0.6245549039538627,1.0431959568769222,0.5909743268713785,0.5489849204899319,0.50494354035512,0.551068037090004,0.5488397962490127,0.607603257945409,1.0565541424990597,0.5727557233050806,0.47142142032835815,0.4557410223039057,0.48589945734361395,0.6333703874991716,0.44424756658107584,0.6132991789751727,0.5397688755264611,0.6108953339176246,0.5899550688250409,0.5632523729677262,0.535959579202083,0.6025425233502576,0.6039421753978046,0.5703972036618528,0.5858782941839266,0.7703071035549777,0.571130828551293,0.6197459773844057,0.5382252289549243,0.5622861808633599,0.5760397597274796,0.5497813797208646,0.8005448240012796,0.47421701846762715,0.5124502700007662,0.6988098067291902,0.4279353995621163,0.3598012449598819,0.34984451633316954,0.4056036496054053,0.38236193992958784,0.417153449483895,0.48102770043578663,0.4270613816445246,0.4670347137114899,0.49913533704154606,0.4452945992624792,0.42035708288102763,0.43954225877240855,0.4372980204216236,0.42020050376353735,0.4241673638343399,0.408376505096606,0.45016370603211403,0.4144744425451505,0.43919102938766524,0.45033480045648777,0.5186219123238391,0.42894564700008303,0.5583434666279431,0.45520130328936853,0.5105713553555911,0.6585606293700179,0.4614346690793437,0.5077353634225414,0.4313000042314199,0.5130592645003836,0.5027210452268308,0.49028098868646025,0.44675317521066515,0.4100663514997942,0.3965260148058583,0.37465240021600243,0.41625096432408915,0.36681986499167285,0.4078662490734132,0.44408570078717363,0.44145751227344776,0.7072826041079358,1.3844802881689047,0.9186087556411109,0.5903578882716312,0.48348439277749045,0.4945261019983713,0.43926880081366637,0.5165653793932606,0.4129464738921557,0.4256216065367276,0.4252845146429892,0.41550385774350174,0.4430383174617802,0.6411663015877535,0.5188479193628951,0.6371063359366725,0.6915775618539769,0.7057002724612359,0.5230428083907677,0.45344718055537286,0.4313567679056647,0.43569847654822397,0.4065197515212506,0.4411553711716449,0.44511532475911164,0.6907031082346403,0.44413271000616633,0.5483994053115043,0.42053028800630426,0.4688664282487696,0.4532727491973046,0.47254348682493086,0.48966065687135146,0.6856725741228983,0.6834300907185964,0.7564598575160365,0.9567118587805763,0.9452845330061679,1.0420871135157275,0.987105493214021,0.6943196022271743,0.6210382768373939,0.5173429712996784,0.5724673721117046,0.6561691802762153,0.4814670534634663,0.4966744024211422,0.5216050050178289,0.4766701120758811,0.48721559471231846,0.4545590526176423,0.49578524204964647,0.5018443997723705,0.49890012511298965,0.6786325059565942,0.5595633606319833,0.5363538853571876,0.5568923793285866,0.6264902842197811,0.6042322088824651,0.6206578448847929,0.8337821320817913,0.7374965446703556,0.7804977063809921,0.7168456736061384,0.7804002696896999,0.6564838286188713,0.6242219425938711,0.6667156481634188,2.2476891231380707,1.0002646508135509,1.574588485892665,0.6700751094014475,0.735849517632201,0.7594106144276779,0.7846836142020412,0.6284248328022153,0.5206302000963605,0.8110229556754467,0.684793484422369,0.7982635211562454,0.6522873413901294,1.003801982416026,0.6683894464568246,0.6864434082076043,0.8010267277026493,0.5434010970785059,0.5337592500371189,0.6162711746798417,0.7490085597755851,0.8598094869403945,0.9754844206332998,0.9234955401508249,0.7930687287971475,0.7319662896609767,0.937609330645982,0.8205938092490909,0.6069444329877367,0.7402827750777772,0.8030807375833865,0.608723595478793,0.6531141886885788,0.818336672876705,0.8245762816216455,0.6980446063361099,0.7254656731846819,0.6612120458064555,0.6187783075316781,0.5869011069437485,0.5912244857035232,0.6043096549153674,0.561844802429277,0.5757199326843038,0.5604448491418084,0.5994909620642305,0.5307631710810017,0.5631053878739251,0.6690332406813485,0.6285728079781345,0.6332985757205921,0.6991525575204919,0.8397604389928567,0.7730466223170588,0.8110225177717599,0.8551272373389356,1.0345067931513474,1.0275872331388098,0.8428813744757763,0.7591975897697456,0.6819077656921737,0.9173657643990552,0.8287782870364735,0.8530066383617655,0.9020389716094878,0.6731766225641705,0.6223942453217632,0.5022993448242262,0.49203630694308226,0.5194613272689603,0.4822488999021409,0.49939274860123506,1.370630204146345,0.4789674894655855,0.4966680554836457,0.5684184125103371,0.8127717687574223,0.5361202687446232,0.6266057868702692,0.9375913565030445,1.5975361396356687,2.0623341640899135,2.9742668213834285],[0.577071564313376,0.7433704825129549,1.006218556216229,1.4746650551940408,1.3602300247591075,1.3298970866359103,1.1984798634834424,0.9198018309882704,0.8788833824942678,0.865130806938762,0.7175637162094488,0.6947660422669911,0.7580623364897501,0.7908571185364228,0.7510566891074038,0.7379677053648083,0.8150484695881268,0.7844849516365845,0.8336057422307867,0.823929196936988,0.8223075214336467,0.8325719133098062,1.0470117103542116,1.1619197165586246,1.4229258996184075,1.0608377349959677,0.9448793257786545,0.953717055791242,0.8182322064485632,0.7694721314973458,0.7296658818594245,0.7517073679413939,0.7556563376167332,0.7674652664547827,0.7446969044934858,0.7181361311300353,0.7680759714048917,0.8312018087264508,0.8787368008465136,0.952488506715504,1.1026229272317423,0.8038011294006693,0.7918614957361548,0.8676299265403601,1.0546680050531443,1.9185729398639355,1.5615073808777713,0.944653362218543,2.0849741262128085,2.354635661178541,1.5441864359850732,3.0671830959378177,1.5409956009521493,1.2993314616495566,1.6160342851945995,0.9883807822108799,1.0884972048511514,0.9495254888364277,1.0660868935131396,1.2796730407791013,1.1140288554680118,1.3390526709848463,1.329330657629549,1.136463799116356,0.8199082200218517,0.8776709627618986,0.9043195735605034,0.7718419280193347,0.9644472988881598,0.8569041802028216,1.1163703239397675,1.2287362937414816,0.9758734181996979,0.9080293925548619,0.8280061584117848,1.175368694623783,0.7685945587515095,0.7388770363014434,0.7386505887857999,0.82714486208743,0.8255353642068437,0.8313448143965217,1.2504885192814723,0.9732893084529957,0.9276221908483904,0.8335969972038842,0.8042089974135813,0.8646433800228097,0.7467615462733364,0.814902253336962,0.7220597758931897,0.7769811062690054,0.7447568554689327,0.7353721179325655,0.702865481371818,0.7522263398894107,0.7392087492160007,0.7420454727205568,0.7722664826705223,0.9675716765004632,0.7953756124341446,0.8690686203192834,0.8129966442153264,0.8346736443211881,0.8700156256088795,0.901352940886096,1.0741422481254634,0.9250711606318858,0.9933684291709808,0.976746932962974,0.977787611569192,0.9805972444062725,1.0181276561346417,1.0735598556545836,0.9882448828751934,1.0845165142148598,1.0647669741924717,1.0704449681431383,0.9759152279659086,0.9550118580670585,0.9717451543385814,0.9879878741862561,1.111004138318397,1.1188552812921064,1.1343290416370397,1.1636192569392583,1.190251025542494,1.1969166832701137,1.1195438741954022,0.9981710355318727,1.1169893153316526,1.006627971475511,1.0864740107324313,1.0370701224068894,1.2094292863714182,1.3190340271125063,1.3991066060450257,1.270764251996863,1.3333516868132238,1.175002259373601,1.1819301907715687,1.1333681015573358,1.0766442442435291,1.1327930783318612,1.0440019246975651,0.9677740866681099,0.9924464053735729,0.936941505676608,0.9151034472376192,0.9051563929742829,0.8259469263673521,0.7488912933410848,0.8980243074946642,1.3637397092203671,1.0541226651243045,0.8306423356426975,0.7521445515651566,0.7754766741804553,0.7635326777643693,0.9251145875500737,0.9575390277353846,0.914247893898057,1.056183258841275,0.9816106650251367,1.1423628791561835,1.4831693900558636,1.246189921847396,1.376444432735265,1.4656519109385846,1.4640356013708722,1.3075518544819942,1.2559568426312813,1.1720358349661697,0.9705721589261652,0.8880431983962803,0.8138547416594423,0.7845580622699254,0.9906254557255503,0.8403903941142497,0.907843853878267,0.9135479354415493,0.8958085703809512,0.9198617126559484,0.9406124955158929,1.0043529182802562,0.9975685291895994,1.0507231711476248,1.1160988586660572,1.3340054705208315,1.3314947538612867,1.2400859926034768,1.3241982122246285,1.2821393740757205,1.292300443466206,1.1696499931612225,1.1944110949717521,1.364275175068292,1.1162417878987834,1.1239184458119618,1.0282941262508467,0.9634453285336734,0.8900576902992198,0.9860798293880692,1.0718877763655457,0.9531475235510973,0.9641731009157717,1.2911791388575615,1.0928943283603054,0.8990065131966705,1.098845497710245,1.1870459234041724,1.021809016344221,1.0113727508430679,1.450882500253359,1.2106607563608032,1.2887004698710316,1.1087947066468926,1.3127674108447842,1.1650141837791437,1.0165411372631645,0.9987625980136721,2.383837596973067,1.1278655037241132,1.7038407230946093,0.9531305730445215,1.0133741951659607,1.0412947376130797,1.1023139370205932,0.9758124205678799,0.9322609232549162,1.1126655013130682,0.9947695639730397,1.0917933140334757,1.0650145436104776,1.3742976032066978,1.1212504928808447,1.2544388016906989,1.3478180175445142,1.135079324615252,1.0154180682494336,0.9598710587009553,0.9847953939889196,1.0427019948902008,1.1443160276907158,1.0726572413580624,1.0067883393498829,0.9280081647714843,1.1005114354803167,0.9891175679796281,0.8818929277394071,0.9277793657528884,0.9612953692125797,0.8227406886211848,0.8360771812312563,0.9675801638172067,0.931879049833945,0.8971665658305368,0.8929300447613195,0.8898607272321277,0.8361357882947082,0.8244868091229645,0.8369929420252366,0.8804646869487928,0.9483909589434512,0.9073847804981139,0.9557110495966387,1.034928866894575,1.0542281789743306,1.01772972694419,1.154766617323133,1.1902798368330594,1.1650769784048225,1.2444262438518765,1.2485936237200843,1.337237915359792,1.320766406322065,1.3563885482193363,1.299594937671853,1.4487783117550674,1.3724917459405637,1.3425022090473433,1.2595088249713002,1.3674354012979437,1.3604019654924542,1.372506261359852,1.4015488438314185,1.2555209485345398,1.2496758414992049,1.174781096731702,1.1798719963486497,1.065460985006442,0.9185323065597347,0.8567186048481618,1.4263203148942423,0.9630661940382345,0.9188253669783,0.7517761969603494,1.13696277403613,1.193817573551252,0.760262109362704,1.0537035690908683,1.7486631804361146,2.1542327305843587,2.536157002679581],[1.102278822192093,0.7300329021609249,0.741882175557918,0.5062187682603752,0.527540769193766,0.4565827922045858,0.3900002586434532,0.5532792333673201,0.39831339447423325,0.3953904280226564,0.4861925466590579,0.6687452060800653,0.51572623927851,0.44456292187393626,0.71066075500106,0.6955238457564189,0.5938626069448831,0.6684023983621187,0.6306881512102442,0.65851077748707,0.6973254302393777,0.6797527272605897,0.7264403814536632,0.756770996152709,0.8338621620569493,0.64081472191906,0.5335336666664257,0.523062960879771,0.642818088941204,0.6878286661870279,0.7836433910716007,0.8304234219347818,0.8854345341566716,0.9043608100055653,0.8391296731532346,0.7062820454120452,0.7620026261456191,0.6653873429644366,0.6133762509089791,0.6789655101397505,0.6485963585142539,0.6459518311750243,0.6972092185318868,0.6814254170208546,0.7979136480364747,1.2881685464147181,0.9637991518619123,0.7001079106571318,1.4515806604593864,1.5581374242550934,0.9794810468314087,2.5046872140355263,1.1973940626358686,0.977466658062125,1.7666637118681097,1.221738897182853,1.3942339957011094,0.9633624277046108,1.0571167358863307,1.4697442980466688,0.9546585481832084,1.2481686049605571,1.2699280602847811,1.0333499787118257,0.756244087319566,0.7727536299071049,0.8819668354917967,0.8305651564106912,0.8691727912983118,0.8235255030656828,1.03414643624398,1.3165261708506233,1.0342010701391338,0.9687797169148882,0.832786048453685,1.1947658882243555,0.8252456237239877,0.8838345376515337,0.8168780875141466,0.8802023397762614,0.869326464197773,0.8282019559393181,1.2097034913297404,0.8886236564311543,0.7028360856469634,0.7099592767929929,0.7450844195123176,0.8550678293585958,0.7388617001143414,0.9064449275966908,0.85241739011249,0.896848341658063,0.8959167148284835,0.8890354824274952,0.8254289547341134,0.9040338086275241,0.8401148245580332,0.8708286250087386,0.880018812199348,1.0489003370332877,0.8929739038004211,0.9122161475760293,0.8570638683741041,0.835874214097291,0.8252343471019681,0.7805508101493936,1.0907869981265574,0.7192410655960043,0.6867703973733019,0.8484623757815141,0.6170184488650062,0.5547752865112434,0.5077231736423823,0.48743529205805897,0.44744254540167255,0.43237116846802137,0.49163229282796095,0.4129834465426768,0.49325663095838584,0.5497466138692066,0.4709171553002604,0.4232392118425725,0.36936543240280284,0.38366186693349885,0.35023490090496473,0.40078863548118876,0.4940925366161167,0.5231659375106168,0.5469180635755813,0.6242434271217604,0.6002920025389251,0.7151519833550002,0.6106037841061888,0.7389537700261878,0.6097899194372381,0.6012755646268109,0.722163733734635,0.5029867216874929,0.5107105786495348,0.45447176878969997,0.4622914678995329,0.48305253628226513,0.5013231118838717,0.4847733139015213,0.48464406667690646,0.5422144835127781,0.4752640543119774,0.5552505922141135,0.5721645603429659,0.5852218644767018,0.6789496577851677,0.7156527151435064,0.9624125358889704,1.3833175506697803,1.012578895129321,0.8849626092574282,0.8001575477922158,0.7729912114579672,0.7260754925174278,0.7257385329548871,0.5825142197669507,0.6159796610796623,0.5245204444277572,0.5709921982151596,0.5501600686626968,0.6782356026595648,0.6033181856903049,0.6670150751576598,0.7531716763933867,0.724738740909273,0.6158638221235093,0.5289157614576303,0.5921778495054986,0.5829450843190438,0.6451351419342337,0.7087137303469134,0.7180924014579007,0.9981748381844966,0.7271959534007749,0.8425782304606924,0.6506642020479507,0.6808888182775931,0.6743992822535599,0.6610667372230189,0.645912511297124,0.8535760081665511,0.8526071953332286,0.9497348548223681,1.037998868888527,1.0123284999855149,1.037036530839151,1.0655700931660714,0.7881617573513456,0.7341465326047752,0.6051499306917074,0.6836669364270195,0.8082018876086513,0.6628870829900455,0.6490975557285018,0.6821852555663418,0.7083694031951572,0.7370835358524652,0.6612668014167558,0.6900810167952658,0.7622601756239625,0.7274507557111433,0.7835432300679971,0.7654066683215831,0.8233792707226528,0.7770472806338997,0.8331984283458186,0.8753548263375651,0.875949490776315,1.0482236993280292,0.9828071803319788,0.9698128724961391,0.9586416713228934,0.9406231948161485,0.8673938502559334,0.8838071787255866,0.9124451380194626,2.528021912462964,1.1938068807653013,1.7458518229441011,0.9579612072335845,1.050454573865778,1.071681880392142,1.1189595776740497,0.9349297763315065,0.7969191859708233,1.0241797766366596,0.8977997167716606,0.9405373034651907,0.8241311985286467,1.175184422260738,0.8148047236798296,0.8615484638899216,0.8880092018728557,0.708885816420655,0.770192683186027,0.8563268712970699,0.9764830585886635,1.0991595537214187,1.255511088078817,1.1783014267706553,1.0480912261995408,1.05522463446041,1.2189911482587026,1.0749242774104508,0.9216690728924174,1.0500293630973625,1.066102491994914,0.8792462398868272,0.967596146257935,1.0997768308368892,1.0424524768724002,1.0001342190481557,1.0473675858653444,0.9669421195140803,0.9429760860725666,0.9017327266574723,0.9149166728336303,0.9136580092508936,0.8417336236309259,0.8560907919518969,0.8422443387976559,0.8374187482645683,0.7630699190283091,0.8167796652641228,0.8337486060402893,0.7941660210964717,0.8014428805219193,0.8736065954293978,0.9846481874032035,0.8735594285398005,0.9056854555742931,0.9402247319694397,1.0592413509985386,1.166245196241904,0.9368226295752071,0.8558284532264475,0.8106363773321146,1.0135130312087406,0.9074099371882289,0.907785149964632,0.9173426360802188,0.7487435162841427,0.7068908706873567,0.6374861502395153,0.580036758070086,0.6643856499754945,0.687859882881581,0.7629447063269467,1.4289608429279335,0.6576274481072972,0.717075700863166,0.8174315527294548,0.9905664514184112,0.6620987119095731,0.7922198002148856,1.071482538209242,1.4162799582481864,2.470118147792591,3.2194996609961977],[1.0318284802534263,0.612837161015698,0.5136030367873308,0.38789085188695616,0.4441578310212466,0.40327754030519913,0.3343514942817247,0.4146673165271122,0.4111524071995387,0.47804376605830146,0.5536480477403004,0.6085082008757107,0.5477221244842655,0.5290863280242523,0.6842503076404083,0.6507466539975862,0.6041110363855933,0.6634247441037753,0.6530476165205683,0.6554635777524763,0.713604201328107,0.6815371226772046,0.7276657143832672,0.7766981332250309,0.809342851812052,0.6675963330441795,0.5719195924724849,0.551532751122783,0.6101287420749114,0.6190525803639907,0.7050278752775115,0.6939549925574791,0.7116496822326107,0.7361128148848118,0.6920296415112344,0.6223026379702945,0.6500480708191724,0.5987117255081529,0.5377527977249509,0.5549626378254463,0.6096305398090124,0.6582945970082514,0.7099530843806932,0.6946987506545088,0.7914541040990989,1.1875148643343671,0.9145865563715996,0.7578372152899353,1.3823317445063978,1.3963849222850144,0.8574190910199224,2.4207775366048083,1.091717530008931,0.8656463127610683,1.623023625655648,1.1419961059126065,1.388098630725709,0.8949244732473152,1.0136048527306623,1.5137793079585111,1.0001238762557565,1.2489449312592344,1.255962597680172,0.9704376760913156,0.7557894211389633,0.7413946894503665,0.9317245019935699,0.8319212100065029,0.8829104167477967,0.8118407331846917,1.031691949410591,1.303526757555506,1.0011859079201157,0.9611186122325794,0.8062193115350996,1.1464480296560655,0.7671360210782355,0.7369281674627899,0.695837430171385,0.7489542134341451,0.6894887093523769,0.7396476314310322,1.1075538573404802,0.6795001213380594,0.5561233758297278,0.5726182992770894,0.6334311292667982,0.7692501946944834,0.6266459086759312,0.7573718898842968,0.726269740922304,0.7713744591148091,0.7751328570011241,0.7382414969122388,0.708940982938914,0.7496927812442913,0.7929952720206742,0.71879411723803,0.7184511393034435,0.8783235535448227,0.7078361141674947,0.6789409808882156,0.6476976529020062,0.6182614072052459,0.6298504007386764,0.5589053478090027,0.8436461413793916,0.4783508042537807,0.4908719742344075,0.7199553976404605,0.4198147131506555,0.39552034064371905,0.37992282769945485,0.40639937968989537,0.4946727756158906,0.5045393463125327,0.5401788594242184,0.4866014457558126,0.5690072390266756,0.602854126900211,0.5630179704242809,0.5220779402440084,0.48997234244465837,0.4929245772296576,0.4202903560512588,0.4046933735268401,0.38369199417154376,0.4357329772581379,0.39637527474208073,0.4356709356659749,0.4156828791366093,0.5254710846720918,0.4235328753617927,0.5789752181444296,0.447164520469798,0.4769592209119455,0.6481851072072403,0.44346298637486203,0.48742600278965653,0.4194292047459767,0.48314078715464825,0.5061099129816997,0.5375094250844001,0.4975266933765165,0.49747106609151415,0.5122018153244795,0.4761396334659456,0.5213916455964794,0.45773665925888246,0.47460021963886134,0.4883186485959933,0.5085216469109809,0.79003845791665,1.5234469415906924,0.9228225191994585,0.6762908019810318,0.6016687402553936,0.5672097519318362,0.5742597307768058,0.5601997822837882,0.4607283848739825,0.5326597267806475,0.47710872116467784,0.5083287859997917,0.47947588928074797,0.6271534056898053,0.49983781358685647,0.564783390236748,0.6339777383935598,0.6529990718000666,0.5013351354705925,0.43533733761469057,0.45420827282262155,0.47880613872376465,0.4897092582467679,0.5439041714164599,0.5911103915631946,0.7923375510888516,0.5605453933535417,0.6858865919829015,0.4902786469971934,0.5013541891267133,0.4984097708075577,0.5022102206504031,0.5306349624620847,0.794630246177125,0.7717358246997642,0.864574226873864,1.0184654241001458,0.9263899105702765,1.0349464181612642,1.0590555503366978,0.693905047325908,0.6113828586114368,0.49306270611989267,0.518980625555498,0.5899456376615398,0.4259020385891109,0.42934216328790215,0.492722291051383,0.44997889346916786,0.4909231647088293,0.4258386092165072,0.4462886532683588,0.5030455868021944,0.48547793324875654,0.6274136111644808,0.5296457357910077,0.5725005180217992,0.5518425453978909,0.6134660340390601,0.6387997920332855,0.665109164743642,0.864657191564854,0.7662074550778528,0.7596554268685607,0.7500414263785872,0.742955224055705,0.628074264938434,0.6504899475871558,0.6835305046493532,2.407975223755683,1.0008719616595774,1.6232900320341932,0.735255881222077,0.8364219270783654,0.8384601608024786,0.8734774672320166,0.6998403347062369,0.5465974743036813,0.8219518951485709,0.6972714384228612,0.7605837772937013,0.6083774716489296,1.041528756210514,0.5919438744690828,0.6387559897365127,0.7764765367459785,0.4797232263073883,0.5534098811438098,0.6513095236111779,0.7892547613828474,0.9267928943947724,1.072003506801634,1.0158296492816894,0.8502045817668336,0.8167072379756418,1.0258687096654122,0.874123388977273,0.6674635743752736,0.8205262646501825,0.8542029781423428,0.6489172714168154,0.7287020646393725,0.9008472399068951,0.8665612839381915,0.7756983708759095,0.8286791257052998,0.73783569379838,0.6987415542530444,0.6577100349766861,0.6668807069319028,0.6627100793498281,0.5977041513777903,0.6003198568256477,0.5833841651702115,0.6007455137288845,0.5076318935469731,0.5627302025735113,0.6324108015785144,0.585716091255095,0.5716828623642698,0.6469104761850046,0.7908095128253394,0.6944883327054443,0.7361063083054223,0.7950782563411983,0.983154059250648,0.9746965735499888,0.7687015212058611,0.684409666802937,0.6155898653336744,0.8501868401612108,0.7510528151094199,0.773295862068182,0.8459456336885156,0.607410564485223,0.5757553739744269,0.4498076516471774,0.4205127934394102,0.4828991592961171,0.4620437094622868,0.5348836537720858,1.4045650692301312,0.44415404796997404,0.5070000105054883,0.6323830413667024,0.8731880130859538,0.5075578375136549,0.6687344819875084,1.0221570446280142,1.4087412235919279,2.221152256198616,3.3550339133639993],[1.036685933518373,0.6460326669847795,0.559689633271406,0.3980119191427396,0.4594357677281227,0.41552165738638924,0.3004254204137805,0.3753852882480764,0.3108851809555557,0.32816275387920685,0.41504413219833525,0.5477776070279816,0.41512336725829835,0.3859399616726501,0.5927796728834355,0.5548093410236655,0.5138738359286582,0.5763820544947303,0.5613863155193548,0.5496866898340068,0.6044277147057753,0.5743140149468094,0.633672879471911,0.6826084434606443,0.7524842244330906,0.5665432286554037,0.4515699524312622,0.4293779188082482,0.5210214987446729,0.5382661512476243,0.6310418704507831,0.6465211628706061,0.6731510488695543,0.6958090668078301,0.6435462233608888,0.5351812810944466,0.5781304596066873,0.5043513227491071,0.4561787543835393,0.4749093319208467,0.5353588158754755,0.567061561514496,0.6187119103545519,0.6085763886209781,0.7288283549492347,1.1829800358100917,0.8514334016796714,0.6595337985609938,1.370612194622901,1.4227584944923415,0.8264446111975039,2.399944179494127,1.0612840278313402,0.8104215054532821,1.6469995060353775,1.1426373286144433,1.3919819639864028,0.8326251039458958,0.9391267332192669,1.486874823327331,0.8840336487174796,1.1610615721152977,1.1416016893479817,0.8906389085064318,0.6458479310893982,0.6472863369317693,0.8016285957319783,0.7245210686397601,0.7924984188017802,0.7585127608939864,0.9900960292152473,1.2211695480853626,0.9449837242899333,0.8731984881804228,0.7271354981384281,1.0637319927162905,0.6867355266340387,0.6847002277116986,0.6168164587425043,0.6902107898659229,0.6443128331495667,0.6807236739016995,1.0593645043051196,0.6588922967196025,0.4869621245612765,0.5079285816032215,0.5653611953221249,0.7137013307761583,0.5567619513074838,0.722056340727093,0.6733794432192647,0.7518940400276113,0.7213960484835171,0.6974098624082836,0.6528423994967795,0.7276313280731007,0.6958035984350578,0.6717756279280787,0.6876086224749742,0.8437738278200118,0.6740467170908379,0.6752057569874363,0.6289151529444753,0.6041263056470964,0.6104313324750199,0.5454005312116821,0.8442452028794759,0.4994567357195486,0.5284454366655342,0.733203122840024,0.4405006467873045,0.3631719002876234,0.33031639443222377,0.3492260265124986,0.3836845406232156,0.3987234297525905,0.4461212862887901,0.3920560533631996,0.4565150110251407,0.49249043899828887,0.43909973160051397,0.4056137079170846,0.38140202912757254,0.37070566792249143,0.32157117230115023,0.3398297799539735,0.3836842164990973,0.42115158970238553,0.40241224386636265,0.4286250369334625,0.4198507930459821,0.5422766175700526,0.42150753168483923,0.5700438657810958,0.4257245446832331,0.4259941941285717,0.6226776461527517,0.4016435742207052,0.44191690197239825,0.35723335815596746,0.40518808924564176,0.41962062265104577,0.4522246668947722,0.41882172408601964,0.3852033765991515,0.41996630099413895,0.3757619047478817,0.4304068998155035,0.3909770466833704,0.41243465316772454,0.46366724649275715,0.486579927291474,0.7965051222966664,1.5347304100386996,0.9233003426984046,0.6562888590121846,0.5727516168374838,0.5509852573994113,0.524497119354843,0.5240815299993281,0.3974556198688416,0.4639193530821169,0.39489605735055566,0.4223207064151259,0.41191987812828074,0.5790223402575804,0.44755400850560023,0.5073999494369391,0.5901854910589283,0.5967965429917326,0.4591933093964332,0.38405132706169093,0.39909799338741897,0.40492409118295053,0.43193664765488365,0.49611591540288874,0.523200828174428,0.7591191302124604,0.5044058387618439,0.6468252979448911,0.4366644608445504,0.47492938459949247,0.4780897254083428,0.4718285350727663,0.4733414936679435,0.7489757928801531,0.7172119640593683,0.8197537836254835,0.9767828724266603,0.8942958242637647,0.9852385242278157,1.038430150096829,0.6651575366471797,0.6002640937153857,0.47675233502872383,0.5199852026580215,0.6083119410644076,0.4679313845234588,0.48904672127325327,0.5352622281889511,0.5243600035690024,0.5570101513645417,0.49650976968787425,0.529814114414902,0.5847532924897825,0.5766662072444131,0.700641625186774,0.6287444113585773,0.668468538931688,0.662177264782694,0.7079667155208911,0.7294929424885984,0.7610743815363455,0.9509904462459751,0.827704070563746,0.8413749848041415,0.8090947917021905,0.8067331116385923,0.7148234012127277,0.7331833862674568,0.761786816999916,2.459039265636222,0.994282713467942,1.666093855302904,0.8229651144889029,0.9060593832391098,0.8822505678456746,0.9121067325320171,0.7728054537966567,0.6223089299882161,0.8633477075189941,0.7727781110645604,0.8169830824205899,0.6677318883840814,1.0995797941649736,0.6394639387802511,0.6799417819193991,0.8151179012832604,0.5438239633770128,0.6132345304287585,0.7021075511962106,0.8400009108136582,0.9618866157534066,1.105290000630871,1.0458114070629232,0.8811073849379368,0.8492542909398832,1.0418672213487068,0.9025212020275708,0.721074563090132,0.8413905838537599,0.8696897124138819,0.7218940755088954,0.7722110839904286,0.9172404115531666,0.9176975121660287,0.8299099336849411,0.8589387393435284,0.8005052090794271,0.761189767620195,0.7294193205455884,0.7403684243879557,0.7433307778906371,0.6924426807040137,0.6742514206048559,0.6723661475375429,0.6959004229572248,0.600057004651749,0.6463213247899495,0.7101849927262432,0.6774066652831678,0.6402665174895763,0.7227035633206865,0.8407540384090046,0.7627339480645643,0.7851858269571359,0.8292361406085063,1.0108698302517942,0.9965194213193377,0.8134368928625705,0.7571492291657487,0.6948763404025666,0.8860190272338753,0.7655495915749736,0.7732911160889667,0.8605785570577315,0.6519324085256161,0.6173608867589603,0.5066586394484308,0.44758823586590774,0.545298836098269,0.5291608867257176,0.6186696958191533,1.4393107130350313,0.5125432088850806,0.6002844090952024,0.7282537082235012,0.9413998409832145,0.6018278934458436,0.7778491585760141,1.1319613927489103,1.4215566638771087,2.1795524039759027,3.5187813795022076],[0.985400838105479,0.5941120010212285,0.5387016143885576,0.44269502687516843,0.4531775229432828,0.4115432913724288,0.2918501947143105,0.3518019477152867,0.27111194533797645,0.30391283547627446,0.3962121320315207,0.5230769143165613,0.3969796883592905,0.3577650861039545,0.5507265517152761,0.5165844832214513,0.48101428283245384,0.5371781787889061,0.5085196358213785,0.5085899601778702,0.5585456503963938,0.5495786220936505,0.6164693748432234,0.664317398114658,0.7615428574451277,0.533646142091156,0.4209010862512458,0.4033618159288524,0.4844894690386265,0.4992923828141244,0.5840355212533217,0.5834232510081953,0.5908532372102403,0.624486942401683,0.580707090841364,0.4924160946176904,0.5359515986533315,0.4814665146689556,0.4348758002839041,0.4591111759584495,0.5446497571861927,0.5496653693159024,0.5871474110485331,0.6009332408057936,0.7312009452618566,1.200580701087525,0.884250569009833,0.6440099914583207,1.3685213546518746,1.4311428063547593,0.8052940048145066,2.405186612239522,1.0090268265210949,0.8182598494957847,1.6495756146844784,1.0920419743740628,1.319334989020841,0.7892022403992813,0.9052864316427188,1.4825812800817704,0.8327687891760616,1.0701325163311248,1.0604491243736847,0.8254786550523784,0.5977003383400707,0.6055571719750695,0.7465206525155132,0.6687745896695962,0.757812645169537,0.7043360890326467,0.9448895295907159,1.1259890158439299,0.8805202837995852,0.814213408807833,0.6774727262878621,1.0231061256575469,0.6326606645062154,0.5998006018039151,0.5630859093858436,0.6295981071875447,0.58958384144452,0.6505553816661288,1.0952117758710482,0.6210337297300931,0.4868877325646601,0.5007429938082445,0.529366376364778,0.6727583419202019,0.5021498564183773,0.6461643735632561,0.6000053949323958,0.6576828880434346,0.6402736764949077,0.6017356923986296,0.5841607405549992,0.645417378457611,0.6426147158733462,0.5961791799996943,0.6131110655683324,0.7664454900005642,0.6086776660778456,0.6289190277036724,0.5552464583497417,0.5594606027556814,0.5842439063674556,0.5112859280104222,0.7532377510643922,0.444470168461448,0.4927523791088094,0.7195347050588328,0.4117992794398042,0.33077496339740087,0.30511161883546745,0.3231817864188686,0.34544015789701404,0.3678490916585555,0.42530812332386764,0.36108644445318633,0.42126948239490547,0.4745282381562593,0.4040281772741896,0.370549371275822,0.3523946261965693,0.34490179123203707,0.2977309386792802,0.31923524193229136,0.35281945742453136,0.4234600679768092,0.3836465769011919,0.41195804071656866,0.40486001456283477,0.49064856903686827,0.40898902475086635,0.5634199512359332,0.4582279772765235,0.46873124806648025,0.5930591756314595,0.38266434948225775,0.44085008589674585,0.3416785481865882,0.39721628207510656,0.3864230492219632,0.4226869752886066,0.38543670256310464,0.36208260193168695,0.39542253784038006,0.3443911877166951,0.40374650159873365,0.37059160226878723,0.4023984217321112,0.4592925322149701,0.47295044253122703,0.7193241811418428,1.4625901205820733,0.9603624080078428,0.5867969999568315,0.5219156349787852,0.5039018984682738,0.48520952104546655,0.5211180021507671,0.38836706770122664,0.4434754703392631,0.38327242303281234,0.40318627605702595,0.4027818001775112,0.5833298302216052,0.4430172206822617,0.501748218467215,0.579316466274396,0.5872059221577154,0.4415570250926266,0.3885916391084262,0.4058474984697498,0.4081541090063291,0.4163423383207484,0.4708469716787364,0.5022637275660923,0.7268728166971172,0.4903031175247017,0.6069570408185619,0.41117347871926996,0.45757108277280506,0.45004480882858483,0.4524659432877807,0.4626241856679513,0.7048860901790511,0.7026745909166194,0.7882401852033297,0.9570961728442577,0.8733204650690145,0.9844610708498779,1.0502916306260055,0.700973576852445,0.6189265722646611,0.4878117462444209,0.5123726529973831,0.5739849818684549,0.4330484060682487,0.48654350646773675,0.5232165106902623,0.5023016122896425,0.5186838981306517,0.4770208033441417,0.5212412640976282,0.5585137838921773,0.5634840267625237,0.7268054658084326,0.6188968052381632,0.6178345345328168,0.6431135998217786,0.6801787335035427,0.6810319710509998,0.7162488401319329,0.8966727591019992,0.7803884146369754,0.8254456036881714,0.7530817473172844,0.7773904790103349,0.6857239971349782,0.6821657991346174,0.6965537463217573,2.335002624902874,0.9523271470713709,1.60399393824156,0.7557444224284467,0.8157730562932819,0.8000612577643382,0.8611810653206367,0.6808785592661276,0.5827872518108189,0.8718406959015902,0.7797005669099109,0.8038731220837404,0.6584686725003515,1.070897544355989,0.6018488281980466,0.6510030925942983,0.7976033260461967,0.5400915653703667,0.5482867746388959,0.6714198322791791,0.8035272552020764,0.9154705232060909,1.0056300877404576,0.9749714111561093,0.8336030484262682,0.7570468048902449,0.943185019595569,0.814189062757172,0.6462993028986724,0.7485836227651035,0.7850569676338143,0.6643515695364514,0.6895811810677587,0.8065050041409494,0.8825856759495421,0.7629241799721446,0.7689082241256138,0.7299242763498045,0.67452482453205,0.6428566114322534,0.6499138147845442,0.6740244107090643,0.6343759899907512,0.6186262857365423,0.6113000449272484,0.6517275932986477,0.5688499952635604,0.6027734595066527,0.6917548577324715,0.6647116768562503,0.6166162964539535,0.7119201853805824,0.7827878823314904,0.7506742105701584,0.766634305602989,0.8176755014177303,1.014813649722508,0.9358465658701376,0.7780134312135395,0.7435084892385129,0.6635676836520644,0.855566134376684,0.7307057452700064,0.7392066850621191,0.8437317465098396,0.6442453286362887,0.5943762918103896,0.4966761667348299,0.4428043573635722,0.5136996859882174,0.4974410150130023,0.5686812907734669,1.4696096436087065,0.505893916545959,0.5771839115037568,0.6617161873771784,0.9360027800141809,0.6203667752062634,0.7645043430332304,1.1352083415239325,1.5414613779147677,2.16587615753257,3.6698685529424204],[1.122456932916618,0.703783519290056,0.5484411470171822,0.4302184637994565,0.45553465546403904,0.37740517178466393,0.27593839077386995,0.39925397635905774,0.3789706327070726,0.36221940298651967,0.412432527515469,0.5699871370356276,0.44304243051037934,0.38440251558742494,0.5536296346638364,0.5342652421439004,0.4941277379286376,0.5318294469237428,0.48762863838636766,0.48509244984878785,0.5018946794057209,0.5195743316891537,0.6667040440770441,0.7091272776773125,0.9234270635317692,0.5439137644716394,0.4346475152240502,0.4375550380523398,0.4848590690923368,0.4946305192658085,0.5619473261084413,0.5877064449972739,0.6087041366361772,0.6204866018669429,0.5769120417656736,0.49820040992721487,0.5163348924338119,0.47265121770525675,0.4381512233194014,0.4957761844512729,0.6222621698646605,0.4811687223784838,0.5068489034461953,0.5290000990475358,0.721595593175892,1.3740681067519265,1.0382142810634218,0.6128839576849875,1.4838712191076902,1.7105427728414595,0.9632478570533171,2.512139334755583,1.0658565140801242,0.8507297338982482,1.6232140903431613,0.9797936739842272,1.1807206855929864,0.6977309239385738,0.8344049331155344,1.3896466053643872,0.7792097647529022,1.022093095335211,1.0085761579342065,0.7962378651822174,0.5372681194781228,0.5901465925932903,0.6921682567510482,0.6014349005373972,0.7078644413271451,0.6774009170259983,0.9099111042141799,1.012772595220857,0.842311030432254,0.751142114265182,0.6656438816884798,0.9975205311332432,0.6165691394361582,0.5790809566044082,0.5500849170179536,0.6048147913019035,0.576073992966184,0.5898048721351499,1.0767115686149937,0.6222022111020196,0.5108885402606783,0.48189244686327964,0.5018653309198203,0.6661160395472341,0.5211102519264206,0.6522289495093864,0.5810613516648926,0.6602714298680705,0.6209175721963918,0.6025515240885463,0.5839506679072677,0.6511353588105748,0.633707679091304,0.6094180450333802,0.6122280934036791,0.7171117554572985,0.5958100203295097,0.5955536022551899,0.5632001975084567,0.535236646760543,0.5521375550000469,0.49686013210585034,0.7556483487293568,0.4439334216894814,0.5074526346161095,0.6953232974151369,0.42443157396056547,0.36362917678758827,0.34983466495968635,0.3500364904020663,0.36990422351347646,0.357747944472771,0.48304169036489863,0.3593590541944506,0.4148766800609847,0.4822529218213112,0.4106320637392868,0.38476379633528235,0.3429455882919318,0.3254961829375803,0.29425241359567395,0.3169920375085066,0.3794938705291416,0.445980768464596,0.39755744023768813,0.42475709899514275,0.417170039012359,0.48403619978400025,0.42974109966121143,0.5489111974279521,0.5081835493744313,0.5583165926516209,0.6287392879207124,0.4144822512690206,0.44659217123546086,0.35322634297603245,0.38906543572925223,0.3975586681941651,0.4114479003711156,0.3924815840067152,0.406868170521221,0.41324585913541356,0.37852746412299754,0.43054685077405086,0.4214930350021862,0.45057758379523344,0.4393331606456574,0.4745851642270952,0.6686329871483662,1.148748772338069,0.8231759358636958,0.5557694274957603,0.5283273679877695,0.4855331246136253,0.4930398306484467,0.5388132859295701,0.40382344297765926,0.46081517640450187,0.3986745848170203,0.41237901879836675,0.4547951198882116,0.6537344949774563,0.49262554939728964,0.5755979670606978,0.6615055423578757,0.6609385768346906,0.4970529862691734,0.42738676496441885,0.46965723712258906,0.41605541734578766,0.42135310916291446,0.4810818181154788,0.5117099043314025,0.7639481295400722,0.497646190212456,0.5908053077668832,0.4222365617530373,0.43963553430004776,0.41614859028999585,0.4079741509141805,0.43014128521957606,0.5922694571461011,0.6184800707318729,0.7273898575735344,0.8713508585038696,0.8588182798009915,0.8792666792981807,0.9502610335487717,0.7020718588922947,0.6659401916461986,0.5047614975947555,0.526113924141248,0.6473193482238305,0.4467108763418693,0.4984230959599463,0.5140113209402902,0.48474188870416257,0.479376378926327,0.46073320902611575,0.5282187395889777,0.5459506232842797,0.5528434756309935,0.7423698995973926,0.6240051015312436,0.6075741711023108,0.6503185217661526,0.6847838597798139,0.672516480289157,0.7002086316268952,0.8857603859353792,0.759486886577869,0.8106093884198033,0.737193689183162,0.7699353172351241,0.6904556284231326,0.6771444793696227,0.6922259046370354,2.315851518648374,0.9383184715792728,1.5770867750434947,0.7298784225613753,0.7739195303845802,0.7654186285436002,0.8388612475013143,0.6620783203450055,0.5685249123752563,0.8615648869372904,0.7502482144433641,0.7857201477826747,0.6530195871170008,1.0746431854085314,0.6092925672956571,0.6652811207173622,0.8264195228863117,0.5487436599467022,0.5331592568573974,0.6220849072158409,0.7551397555088817,0.8397476319149076,0.9440819604849192,0.8792846970834954,0.7655790732593774,0.675650885652063,0.8446027000605768,0.7420681098981583,0.6034424145699645,0.7006713898806782,0.7486847864629637,0.6399852284559411,0.6569372496899779,0.7644701745920605,0.8741279827528852,0.743512187825943,0.7338515497208922,0.710839270604068,0.6404304481824714,0.5991594990226702,0.6041171981239077,0.6573109586777598,0.6315017508581621,0.6041643953278795,0.6129808884819717,0.6615084896587606,0.5807203675582326,0.6088031946527167,0.6995439620750443,0.6752165619842091,0.6227095705207668,0.7403635979457976,0.7746341771241662,0.7455722100178864,0.7608352587881475,0.8073574732297222,1.0096799825119083,0.9339995900065604,0.7682459997127347,0.7437553400543752,0.6720200883609463,0.866795675887769,0.731020697406898,0.7282783576532739,0.8135318787401403,0.6356110043307579,0.5866461149128216,0.5156448419166947,0.4486107083141037,0.5004291559276235,0.4608123233599751,0.5296141332553093,1.4161073628263314,0.47848435608519274,0.5597306502135291,0.5906640987919544,0.9138670930977605,0.6161477991026761,0.7381760812144649,1.0517252966629873,1.5372858921568866,2.054086883862476,3.127673908659315],[0.8741504118423048,0.5468661643901073,0.453972448899261,0.3777011732503188,0.3670838518768402,0.300633965611359,0.16130354074464215,0.2515233702591535,0.2656181888980715,0.28955405185364247,0.3106901203259973,0.4745719261198487,0.331650850941711,0.310152515007932,0.4126818235799179,0.3972237356807505,0.41923212705100144,0.4271795394923713,0.4091022420086419,0.38049955120229795,0.39495577720869307,0.4271948897880815,0.5830401508636667,0.6556312286133621,0.8767902644036923,0.4667534856615259,0.3404127092172309,0.33594660230296713,0.38552493812846783,0.3685363067633499,0.4285000729595168,0.4348865548121511,0.4571690732974384,0.4690897177282326,0.43493850340720913,0.36617037122260415,0.4021290769906167,0.3588825757840692,0.3066746488853781,0.33016583947897626,0.48350236733509233,0.4524545626354381,0.4841943245911528,0.5503241409565595,0.7290523965673161,1.2920294635689056,0.9883640192313996,0.5914121347100224,1.2831934311528395,1.5261860486191905,0.7684614551686487,2.261498205251676,0.8291753596636794,0.6875070001554592,1.7194066703963728,1.0811731023816022,1.2959327327401235,0.6459884326419411,0.771353740318223,1.5817634886494958,0.6701213368529358,0.8742258756799688,0.830148333024559,0.6137823649070305,0.4534076909875943,0.4919205322258655,0.6059492500952847,0.5166862072034522,0.6281958910399433,0.579538622640896,0.822680305538902,0.9254604531441197,0.7419944092942624,0.6864359802392723,0.5532437526555346,0.9119486989812616,0.48354110162389796,0.44161333461853897,0.4163692335001329,0.4473348384533567,0.4355871787763164,0.560154586374177,0.9913810080171571,0.4636911746617795,0.39661735871700615,0.37713353478134354,0.4042921577948043,0.5629986457991871,0.3774404166079522,0.5300368435691413,0.4355809481778704,0.5381359512896926,0.48469883922617735,0.4388763876449401,0.42685736333188085,0.46468817949858326,0.4971968680350056,0.44617019923637585,0.4500251319857287,0.5933225632576169,0.46073840886192097,0.4851018014104541,0.42448347985239826,0.4574723541615857,0.45909336416511193,0.434421158902347,0.6600859561629306,0.34843123681718163,0.39266101207126575,0.6331607528325128,0.3014662454890188,0.22631279294351,0.2091279262317284,0.2668986007774467,0.28150473516345237,0.29429710613853904,0.41088940231600457,0.2999467176850216,0.3704507248147742,0.40732048419035105,0.3539707653175824,0.31610282896682473,0.286425134912896,0.27536933628686733,0.24682644675772272,0.27386782108285546,0.2707287175467278,0.3293025923692272,0.2622484991704661,0.3189794727311551,0.3011779343395771,0.38715412807147903,0.2938834581664644,0.45985968050874454,0.3695920635026838,0.45821655578775605,0.5572108837626905,0.328729390500425,0.3706625988296979,0.2703525669748789,0.35719787363305455,0.35569028680631104,0.37989036288744643,0.30377750295146516,0.3053966620373695,0.29910997112324444,0.27505707476384145,0.32455802822773394,0.2664330706079353,0.3239455356633728,0.34812972378599305,0.356651165856382,0.5889870380853951,1.109766771353456,0.8038535389788795,0.4434949653165517,0.3757447036708505,0.3694685475296145,0.3267427852366959,0.4198232422335893,0.28636398998007284,0.3404044893669068,0.3091074817386324,0.3203774150759032,0.33955461764327033,0.5723170690070036,0.4001428630171873,0.5045053160273258,0.5828835025295396,0.5893326872522975,0.40426151331034177,0.3158477667526451,0.3405741602946835,0.3368643826352112,0.30722504399007095,0.35409857090001495,0.36213081717901824,0.6012765993779603,0.36302871253070623,0.4640045925842995,0.3163000820626106,0.35824669633385386,0.3339793271321514,0.3489814755345438,0.3857696200559707,0.6107042800418917,0.6366007788389604,0.7072330981590275,0.8798303824406707,0.8883907763200719,0.9331805864135415,0.9261601556388693,0.6676688862116386,0.5842411716044517,0.4059710200689011,0.41498577146317234,0.5221253644879313,0.32986473366421426,0.39175185399268936,0.4335820697877643,0.3493234018494461,0.3617497791925212,0.3393226810357905,0.38288748170220394,0.3793510534640264,0.3918056226178999,0.6456305873315031,0.4621285802746232,0.4349869987834184,0.48279725780947136,0.5247976105349726,0.5084286602097449,0.556915206909332,0.7521384380064611,0.6333704977554385,0.7095185836221418,0.6068143574671488,0.6449559721023757,0.5130156424026369,0.509925021581646,0.5218350188007038,2.1128233513460133,0.8348152789333091,1.4973019965286907,0.614100241279585,0.6561614767846394,0.6654014981557975,0.7177868367337632,0.5256838830437852,0.42753867564496906,0.732462368177213,0.6425968745700729,0.6995660262373715,0.5392476299446071,0.9728091676078117,0.567386929624525,0.5997070476550068,0.8078615112827063,0.4569349095693917,0.4328310592896951,0.5393430005583659,0.6423650769588695,0.7622293229804652,0.833341447465515,0.814229037723231,0.6845304980531352,0.5789699705752474,0.7702271321758143,0.673039172383829,0.47799210370493866,0.5974232245953768,0.6689364901762415,0.50188902152089,0.5191688695536387,0.6624354488594789,0.8103014981760963,0.6002862793913583,0.5889025773874645,0.5496976723002797,0.47943510785690785,0.4369372441813149,0.4504937831724736,0.47211712711999027,0.45459748749981627,0.44891892234297587,0.4430900427269697,0.5079804548070758,0.43347620178011476,0.4652503704824675,0.5986929304540233,0.5546158757002517,0.5276244550947671,0.6127789047171213,0.733976484106836,0.6810441044736361,0.6866146207931164,0.7601351955009312,0.9967976441339297,0.8087655812039116,0.6809277527491651,0.6448109791125853,0.5461405675157409,0.7818501488427392,0.6334546688910414,0.6588465573722072,0.79655415606336,0.5650557751820692,0.5045203685886749,0.3961174596471438,0.35462820557994307,0.36680797847090946,0.3530441740930057,0.3980602439915985,1.3056934444797708,0.36323596084143983,0.3981052037234885,0.4444080890054726,0.6727553713234588,0.44909873276065654,0.5962642123210766,0.9141639463463467,1.5184797075257475,1.8618711469569276,3.0078877093507077],[0.7033332630517998,0.47699064393666946,0.5488938725084429,0.31330661087681155,0.28598966895652006,0.24042616573066058,0.15095634760782412,0.22881283066380878,0.2877877425213066,0.27442773553184274,0.26773523517835607,0.3750544468616327,0.30884407133668584,0.2871034509735837,0.3268880456109706,0.3514213342110373,0.3985156396753655,0.38888364465825176,0.3920821868095098,0.3539295162914979,0.37953392980091544,0.4423209574089572,0.5940969098927326,0.6849402602884702,0.9372250638514628,0.49847613958696807,0.33130889421074494,0.31386816862119366,0.35307278026283045,0.3256777682440965,0.3631547113056152,0.3778555836132373,0.3827878657397151,0.4030683662322048,0.38145690761726436,0.329547230927397,0.36238206430492526,0.36804728970375933,0.31147399776903434,0.3560932835031981,0.4860978324108413,0.4760051639208285,0.5017626545357119,0.6263798256959318,0.8150526062529012,1.3402703352733847,1.0778239879500333,0.6190039577075266,1.2241061211142767,1.4968090627648072,0.7518296824947174,2.1802292952064977,0.7538802462331823,0.7327126436217553,1.7962758287944414,1.1166229796067237,1.2929534760472723,0.6775780104210223,0.773073004353117,1.657242363369789,0.6406991611629157,0.7843893893844739,0.7501820632852603,0.5722803370473268,0.4899678714964023,0.47131124651204526,0.5561069520156315,0.4500127185153535,0.5820365179711504,0.5213714826933401,0.7653808714501237,0.8542723020664564,0.6688689620980399,0.6608689384974564,0.49971298303309125,0.8898823329846147,0.4450978654788515,0.38796346762311673,0.36585973382722903,0.417197152314008,0.4071700156153593,0.56110030260018,0.9595787927490399,0.4403517957854703,0.4327268731104007,0.3804530692553529,0.40097746425497166,0.5104060584787465,0.3421950327095643,0.48483295688605366,0.3742016959333624,0.5182833727238166,0.42960768049901554,0.357760904625714,0.3548124459245331,0.3847840925092701,0.4386425424834615,0.37255054618171135,0.38099168754424956,0.5089396996468842,0.3956338783856032,0.4519459549477302,0.37757426684044,0.4236523936506323,0.4494016722486681,0.4283675272909198,0.5851425875760862,0.3510141111117129,0.35434214435904016,0.6135509672411293,0.28316466152355557,0.25104494498345353,0.2129130118482837,0.2844224247819753,0.27322420388389,0.28832886263300816,0.40969053381405096,0.3056622862554438,0.36440257794750053,0.3851609731892048,0.33752360186742625,0.3084804668172794,0.2718968615560375,0.25237148107664703,0.23085069578667136,0.26232529400762883,0.2467861933516513,0.3049095862271593,0.24108257557944704,0.3287650353727911,0.2892905485140576,0.3524743249127593,0.2970560622055324,0.4302242676396478,0.368140230773197,0.4841958017696859,0.559266173012794,0.321518046688783,0.3582065705296878,0.27907190187466047,0.37824276055575107,0.4054457804007799,0.3967434388049739,0.3099406853493034,0.3098392056681779,0.2877006664619516,0.2686454923197457,0.31077561642144297,0.2588557606268834,0.312654362464394,0.3731312720499875,0.34040730887675724,0.5316415391397583,1.05263773761569,0.8047141259866453,0.390919624158131,0.3296380790840504,0.3487806001956203,0.29655895155144546,0.3846415361653167,0.29775047227651447,0.3252727636763268,0.3102392967259184,0.3203611274459365,0.35166763228652514,0.5713398354542084,0.40585866522755637,0.5272483294112907,0.583833976156758,0.5976654034761801,0.4147773093054908,0.3306761728493706,0.3504444434193034,0.3383482283188108,0.3103205141376395,0.3503006580902157,0.36775002353752245,0.5561052127134825,0.363075025656726,0.4172519973670856,0.32367015973537955,0.33973669417276436,0.32012846719526455,0.3471494172280504,0.39140999582146185,0.6259088384799223,0.6750790699658734,0.7576710722141122,0.9027393438746092,0.9429613254471778,1.0139648762765323,0.9361582331237448,0.6840821222067635,0.5802396449011477,0.42543921619170855,0.41374452055874805,0.4814309933777092,0.32541628741297485,0.36109695371494815,0.4229974932027858,0.30968168995334205,0.33694310909625597,0.32196890432777014,0.33585887746173987,0.3415931410427973,0.37217125758704883,0.6012322745987665,0.42791942491881996,0.4107658235886752,0.464378967829059,0.5055463335608246,0.48835811058535505,0.5479597424839412,0.7004978497385532,0.6354175939731754,0.7054511527392153,0.6027290402776776,0.6097961135371402,0.4845241215388158,0.4901157509680258,0.4952230899709278,1.9617262869492846,0.8399526620761311,1.4269832123868913,0.5747020288146681,0.5919917294837826,0.621323785077409,0.6660349680186938,0.4743470307773355,0.3879634180941903,0.6632654749029285,0.6179226623128651,0.6621843025488264,0.4796051790227821,0.910430025452276,0.5726397942673067,0.5948585560211062,0.8353960988702829,0.42566911173339506,0.4220476670001727,0.5148325690056827,0.5924777333928356,0.7235184354212042,0.7652581201492701,0.7837090822319088,0.6418842798876843,0.5616350126440066,0.7294846115643417,0.6456877050326532,0.4592172318946897,0.5778930472458486,0.6600838498361021,0.5043242110324796,0.5163352939280198,0.6437446718338843,0.8263661921199442,0.5961759925127647,0.5711427600988888,0.5272931352449571,0.4497342993684165,0.40459977466261365,0.4278022693739474,0.42797388372701817,0.4111013291685256,0.3989657654913569,0.3898755019622157,0.46418833062399867,0.39472007613071414,0.4379019949935976,0.5912871877276543,0.5149504639011103,0.5087384822993678,0.590883207576211,0.7264143029329619,0.6821944069241115,0.6566415033863318,0.7888142331260709,1.030446482372077,0.7549405921870231,0.6839129402236331,0.638623663429817,0.5569156129103083,0.8045349282023034,0.5971090112838059,0.6366014027546821,0.7666650137941409,0.5218602003502625,0.43830852740796566,0.3416476551943816,0.30804763861619466,0.3035937896493384,0.3359459966392501,0.3771269193606249,1.1921226084237462,0.3711391784671634,0.39171073960020275,0.42816398456556215,0.6233239189281751,0.4116046039882318,0.5670064578966869,0.8359030320189436,1.4622986328384298,1.7930822473876304,3.0379918043584526],[0.560275753015832,0.45102326970462275,0.4678404988783345,0.2554754519048406,0.3445459697961528,0.2988599397219659,0.25722673097053195,0.3104908467499063,0.3315148898476629,0.30428973907971224,0.2990821984958983,0.4208256135158777,0.33501660111106435,0.29684657426858657,0.3369773207331164,0.36805957012819934,0.4042758179320341,0.384519992939691,0.41132578912365425,0.3675006004812869,0.38332062825993785,0.46592026822575705,0.6615786961561849,0.774668592921285,1.0510983328237853,0.5536652373045293,0.374553628908779,0.33853483379224314,0.3684294762957749,0.3492566514395917,0.37628234160395196,0.4110973633681482,0.4171100717842224,0.42514487490528874,0.4028267801803666,0.342935883460503,0.39363915508835795,0.4053837915790876,0.3588011791730845,0.42916847984533735,0.5226747796958995,0.5248001601147272,0.5573316729656127,0.7093813056443167,0.8733665323675214,1.4009955060618364,1.1853666729175834,0.6785797696497397,1.1474377954263053,1.5404014812821236,0.797913035386424,2.003076313207219,0.7013298833890911,0.7461078809895187,1.9184782663884516,1.219113836288293,1.3657494846561191,0.7075027777287147,0.8191087572982754,1.7905065122483403,0.6631235068452034,0.753429633940623,0.6821919575474364,0.5681355766372717,0.5358436668743978,0.4719115156214443,0.5513150205854062,0.4488042130008686,0.6050544694042185,0.5197709437906451,0.7588367693779622,0.8775008841625699,0.6671737607087441,0.6899003086741934,0.49801301630472655,0.9021964710931885,0.46743794146297757,0.40385192668155373,0.38594056589293335,0.43272103059402023,0.42257432090844765,0.6209347617199086,0.9402753463845046,0.47658935191969126,0.47312959798453713,0.42113736212622943,0.42066312365799,0.5349952194134512,0.349754030575158,0.49486517294333154,0.38673201630433846,0.5297066127710385,0.45054205590835633,0.3847920575669078,0.37938701922659,0.41797187394281926,0.46139316295354205,0.4122470318565194,0.43439730863307696,0.572166568437296,0.44964813144813975,0.49300206324047036,0.4244745582228546,0.4862637225881635,0.5150220109962991,0.5071163748372002,0.6722254736881967,0.42541484700133647,0.4109321049812612,0.639262630676833,0.39740369645369994,0.352192351396379,0.2951201828082655,0.3488599235016401,0.31026969754941064,0.3252011201351275,0.42893414744393077,0.3649051321459211,0.43968977081034283,0.3944530718095177,0.3656177333297794,0.32972298748764167,0.2935010251762383,0.2647643188023017,0.27685950473348664,0.35378349589396507,0.34866391985056094,0.361489175570197,0.3366238381444915,0.3914817529797225,0.35531468882903505,0.42025978457393565,0.3518165646898405,0.45486986613885944,0.37132980015720585,0.5376424710144144,0.6078486401817889,0.3613989410368349,0.36295693435715787,0.3386430858224907,0.42330522476509025,0.47840140348113147,0.449443793575452,0.37420691518098936,0.38641177680772526,0.3286059295032217,0.32004175424958703,0.35103183261777693,0.31718847779486586,0.3649785725504324,0.41938766778542447,0.3829394890100486,0.5762263546115339,1.0979049039377524,0.8068697621393134,0.44825333861683,0.3874637869029515,0.42542253664863716,0.35200904167644753,0.4185241530133891,0.3455960165190061,0.35653648057313414,0.35191358510018095,0.3651453638126262,0.3961475590038991,0.6365675798518319,0.47382611046268513,0.6302531429250154,0.6744161151244388,0.6741656756957867,0.488720518396207,0.37153335923947933,0.3883521751985692,0.410928140443861,0.3727362374396325,0.4053942093987247,0.4178074977669859,0.5936938650186571,0.432395738137272,0.45959619123889595,0.40350097300206356,0.4028127455180479,0.3875277111091651,0.42628179242022396,0.4718905319039545,0.6737590038483788,0.7604841985406195,0.8116862751956767,0.9760580795710628,1.0773080648574842,1.0436674974229572,0.8609341987608454,0.7233793874504343,0.6183203695521166,0.5152910297180442,0.48452452428143716,0.508924137121853,0.4034416116631013,0.41739802731844017,0.4942730282616744,0.35830345699307314,0.386164771804162,0.38497156348452083,0.3466392307639273,0.34396576558170483,0.37359708220549664,0.5726738778376737,0.39782395482984584,0.4115116442862239,0.42569720285819657,0.47456172323622536,0.4841625729318256,0.5620551457223174,0.6556702337165805,0.636797349715258,0.6981725180427781,0.6118655377562322,0.6084641341145532,0.4713153653896976,0.4664103490734824,0.5207723760340718,1.761477391446112,0.8842314222643942,1.4496536613032183,0.5649325204666178,0.5548341774669703,0.6337473860854036,0.6561449520507445,0.5063980059219878,0.41280490930055025,0.681017950712966,0.5967213831028794,0.6941631629227637,0.5172156456775365,0.8422932614464786,0.6800882089010942,0.6310120692500426,0.8945410857027618,0.4879261390947959,0.45059126789862713,0.516751643892456,0.5967507521651305,0.7376091393722489,0.8064241564183321,0.8012670420520981,0.6826247752487468,0.592893196348733,0.7376309972681259,0.7106441257995282,0.48879999966633414,0.6032993091979443,0.7104222629984516,0.5287297808797072,0.5324262130243239,0.6906352297913746,0.880674248269487,0.6085626898474519,0.5873778571110747,0.5216389646080434,0.46269353630657534,0.40982773885186474,0.42298884097687295,0.4378936000901081,0.3985692803142499,0.405261439662312,0.3872811235067032,0.450339796460062,0.38345805992747234,0.42494307850814766,0.6225648757268855,0.5076195072115858,0.5308576039947603,0.5900893513469542,0.7798867329120519,0.6961615810526325,0.6574400415482727,0.7717972062280889,0.9951748678001532,0.7966731058030401,0.6896661241435171,0.6202036248767725,0.5172449265320018,0.7816881764025191,0.6384902787365757,0.7117128008833713,0.826806384369214,0.5785851541994481,0.49447166827671873,0.3864362344701362,0.3477461622582789,0.38982650528185586,0.4640833286298203,0.4073445301434925,1.0479781144340152,0.45255861488584637,0.3819268356634869,0.4202297870231074,0.6327952437138646,0.3464717149807655,0.48598766224208007,0.6363593399172351,1.3707099241706355,1.4200955771646764,2.3292744325249095],[0.5660703497665875,0.5913146784826605,0.6970387483569285,0.3877846032555574,0.36881662539438426,0.31917219454044543,0.2229045379616313,0.2521545095728676,0.3294678037528671,0.32246805498132897,0.33178669708123293,0.3973212209033374,0.34228564385930466,0.3369676415858481,0.36549677205597425,0.3885402682137493,0.4409383954280409,0.427066062608561,0.4665446935033786,0.44151000231884635,0.46543688235101477,0.5468427492060938,0.7716814141323013,0.8865089989141195,1.2002229220221092,0.6628832470615486,0.49083533832896425,0.4036975146206917,0.3922530496050844,0.34438762563334663,0.38400704543858866,0.38488903319066364,0.40817771359879634,0.4192435746974309,0.3808429922477034,0.38478055842966385,0.400983794851978,0.4702895188746328,0.3903702829331203,0.4555248080704671,0.6258506173792445,0.5730955832050777,0.6040410334873951,0.8001793665944474,1.035390355534776,1.5488939998124518,1.4216246995262765,0.7833607219445327,1.1216135288669211,1.5655357068048519,0.8770784199338285,1.9281882729343036,0.7107597740168929,0.9015626476992739,1.9718207759451147,1.214880024210493,1.2907229339674333,0.8112148444046109,0.8288488632640694,1.8315261831286649,0.7210136977236355,0.7101884055493023,0.7098495657443253,0.6665083334470054,0.6331493241351264,0.5410135025892909,0.6114712122901047,0.4782036546877182,0.6183849701388632,0.5467557007778489,0.733124998087918,0.8829266360656455,0.6560936509587019,0.7333236892428097,0.5089920502494972,0.971823792124062,0.5001313122150783,0.44197556697136436,0.43340664979264765,0.46445922503857856,0.41340094832275526,0.5900115023505863,0.8870233340558275,0.49512643817577284,0.4993717058440078,0.4067770354110606,0.44177159124281207,0.5364549455824096,0.3931435889486069,0.47969620217802794,0.40407897389827824,0.5920525929265912,0.5179860191946949,0.4032314600943788,0.40584445645608663,0.443553955449179,0.4763579328163659,0.3996756471914981,0.3905015450160902,0.4574565601709328,0.3697152693855246,0.42381268083929524,0.34989912475301327,0.38936779450360776,0.5203601996363666,0.45984291882660083,0.5691600935084835,0.4304532274416591,0.388756032633741,0.5974023458997961,0.3732799011034476,0.34900548425682404,0.2715517934875301,0.32859343509411676,0.33604197702648814,0.3578539723441037,0.4995889906081348,0.40100473164052874,0.5262927501482729,0.44275331058016465,0.43140474947121854,0.43691104755605265,0.41019755400169644,0.3279612049952763,0.29944295134602794,0.35558185457724517,0.3199532481709923,0.3519983004750605,0.3527786537730269,0.4076128057391984,0.3943981413147153,0.4125310153917218,0.37886302024502766,0.42835984511179254,0.3876358359154327,0.6109439292854739,0.5921024911948507,0.39529295367726,0.3459669875355125,0.3335702431478888,0.4298863210647709,0.5478237768524764,0.4622491439011934,0.3980271673329264,0.45790516243086343,0.36851179146139595,0.35830923225727795,0.3480978340509655,0.30059118221098213,0.3351834202334246,0.36126327759176335,0.32932614786456965,0.5353051050885471,1.0161856034575787,0.7876717659965446,0.3772894249796492,0.3382677554611881,0.33605776632280754,0.31896837817494605,0.3522266839917339,0.3468222003029679,0.3501471450469549,0.3694746043402226,0.3931032025002185,0.4062042302088942,0.6128490733540315,0.4850176292348652,0.6757078836104898,0.6934940258101521,0.6688674573238789,0.471291131726292,0.38003141817386366,0.40148771875361133,0.40879013507152523,0.36191336890415166,0.36250318207484916,0.39355190648152266,0.4864935930786955,0.4107631733801208,0.39442276388180714,0.3993716398420054,0.3642989992162984,0.377781370438079,0.4353894287137666,0.46006485610307374,0.6157994308192971,0.7471825414135989,0.9381195527509614,1.0253514303769626,1.13868265732223,1.1058057981641136,0.9091108686049244,0.8204157814144554,0.7024882059446897,0.6542666560339873,0.5944138792936785,0.5237014979146866,0.5007698644653354,0.5139433322037762,0.5627561355728672,0.4400957174600789,0.4204672892370269,0.4292460126387899,0.43699578724091265,0.41819559569830267,0.43307491008031684,0.6209756684187807,0.49648420103021634,0.4781029675787506,0.5382687949553148,0.5971768409268746,0.6000816477792985,0.6572087208200479,0.7727816027959387,0.7940659274732615,0.8220772340036283,0.7704924703909495,0.6937038383546649,0.5832721246663803,0.5836716267630968,0.6672149668649505,1.5558418615312684,0.9893708704942166,1.3699053929098945,0.6178465951956712,0.5606948430740502,0.6185271502366323,0.6713147953597621,0.5742568300895861,0.5172189139495569,0.7276121722694079,0.7324303516290264,0.7654206815978304,0.6041778240300093,0.9056920471674285,0.832341811580853,0.7391920137598446,1.0044349921771933,0.5810291397913913,0.5408638739348544,0.5797114187919411,0.5894748233650535,0.6976872265636264,0.7171327621223175,0.7403678716012722,0.6311346202729855,0.5726277778381607,0.655288301779433,0.6350410864981981,0.4764170508959416,0.575533216955811,0.6819556721936809,0.5487794548346557,0.550997812710621,0.687202809573523,0.9106655252503734,0.6466074215038555,0.6117408334586685,0.5710910903857439,0.5036511380652261,0.44742089176553185,0.4972242167891445,0.4869731544051987,0.48257637806934633,0.4805712189059417,0.5031255579069657,0.5694759763984224,0.4986478591196511,0.535859807374378,0.7843959769629506,0.6308340847407023,0.6136697896211694,0.7023049328453084,0.869128239492364,0.7882446869460566,0.7350553864605475,0.9527216053890999,1.1127700367777433,0.8154775573766713,0.7585421368010234,0.6818392691409301,0.6438294772385497,0.8733818466687139,0.6532431539972624,0.7484993040725593,0.8484849656329526,0.667894554563806,0.51380670906893,0.45488018354255894,0.3732080034681726,0.4049820718620134,0.4514579924527426,0.40929415670813024,0.9200724818863238,0.4378127755625954,0.42357612413528295,0.4103215800379052,0.5976796073470284,0.37779540787744487,0.5346478086482328,0.625493327243793,1.3424642608077964,1.445199163658359,2.514646361476442],[0.5621406450064621,0.5695729084620132,0.5237811591662184,0.3429449607188946,0.40929196003164114,0.39474435754766407,0.2669670971792173,0.29519183424900625,0.3397170664315006,0.32029022953501096,0.33432876621103985,0.3958237929727055,0.33641016216793695,0.3222212442016939,0.35425432355694103,0.36487821739601284,0.4392358750446516,0.4146040425102075,0.43950363712371887,0.4006527029321982,0.448095462457188,0.5240444819565546,0.7127456833706063,0.8411726897156027,1.144613092101107,0.6246247768337385,0.44561271725647805,0.3519692174355013,0.3698964323805311,0.32982839844529693,0.3724664519215677,0.38455175160084626,0.39554639225811483,0.41031142958108974,0.3652163722646567,0.35185910879459054,0.3762019346644809,0.4277655427639345,0.3446159707965081,0.43813593958917496,0.5911486345958418,0.5310974402459987,0.5671304383421416,0.762415999874379,0.9875649900210274,1.5063159332584224,1.4010037998904497,0.7527088091358108,1.104610253751136,1.541267737103951,0.8403596381482142,1.8979262189076405,0.6864305471405988,0.8461884110074813,1.9514385764517026,1.1921171103498702,1.2767403742709866,0.7572297044019899,0.8162055048885424,1.800516017645511,0.6958765462998616,0.7071676088684223,0.7253472676496807,0.6537775308672091,0.5927703589020791,0.5218678306470791,0.6165842002114591,0.46556558581483165,0.6505661805027421,0.5440364940546508,0.7368239672157901,0.8697503365782976,0.6626573020248079,0.7537372196661354,0.5083788350589402,0.9894410906133887,0.4694368978373343,0.40777884092916283,0.3724153690035199,0.4487773785790915,0.39757443994316743,0.5934897987295864,0.9045967371378252,0.471211037140573,0.46827839170204344,0.39590331655537997,0.4176397877306631,0.5198205232511597,0.3566727436300661,0.46160640572548456,0.37887919415093974,0.5938792897153913,0.5068176245055516,0.37882116208940736,0.3794799090643007,0.4317797969670301,0.46522891394999805,0.4091401265521734,0.41476772809424817,0.5470850335808143,0.4000365869127722,0.48389099985194534,0.38286082385991116,0.46581701105164813,0.5114636726485746,0.4946527553723983,0.6646864561691269,0.49997046907433773,0.48483375062028217,0.6716819124463066,0.4642295776870846,0.37599640891858993,0.2920726408050238,0.3317092555508441,0.3141185761561883,0.3181826791795436,0.4442411939986387,0.35906603832974343,0.4961776547087511,0.4311988951096211,0.43128923714116146,0.40010035565399454,0.37021197331334166,0.3016713866514794,0.30630465166651594,0.37015299771227866,0.3756506700372166,0.40051554891132685,0.406787330903164,0.43085764322523107,0.4452290065682667,0.4850365581691076,0.4154895731494746,0.4577418194290901,0.3895887740622324,0.594767638619711,0.600477697072853,0.3950762409456667,0.32400704177886125,0.3095470688232603,0.4167428578897059,0.5320921943805196,0.4449459109204886,0.3608383338555177,0.41829977581379146,0.3282205477751656,0.3197251844147095,0.3328330931691614,0.3057472650720983,0.3562735489462091,0.4064488268552758,0.36864151610552726,0.567049474731967,1.1177177907076008,0.8259730555478161,0.4327904482387157,0.36812315504687115,0.3937200467779306,0.32562469528699167,0.3788068562240885,0.32880059704341535,0.3311712410362399,0.35528184695091447,0.36831023838873544,0.3998142475021547,0.6203752518585997,0.5026950408833442,0.6978251765070975,0.7222583635911922,0.6842897044172659,0.4920890992605184,0.38079165216348904,0.38699274875355116,0.40681065518298726,0.3630978910856856,0.36184237722845963,0.37117039752808956,0.5025148038333025,0.40512033769496875,0.4124007983039231,0.3877430896844721,0.39004308334288257,0.4071280813854619,0.45472288363328933,0.4884472999536632,0.6505980859908272,0.7792636506990852,0.9059947368954814,1.0391239396064675,1.1652512628910265,1.128755185489945,0.8853628491283053,0.8025939247960985,0.6883501400423978,0.6660374523279595,0.6258384946848357,0.5731116083963969,0.5485825017689059,0.5730147830654408,0.6383710286025939,0.5339952655950482,0.5357269321178205,0.5451347565356109,0.517602915825808,0.5108691957750322,0.5226280400691938,0.6532558106287447,0.5390332424351063,0.5607223637440744,0.5779088165413018,0.6166275967306759,0.641553132991717,0.7078585007621874,0.7559209002754046,0.7828994592225071,0.796159162592429,0.7904398056025779,0.7262768547611406,0.6205868137645655,0.627266625614938,0.7341691724551196,1.5452301870537675,1.0372362728888431,1.445306513300121,0.662759901602092,0.6176847612198364,0.6971971739424205,0.7177504306758237,0.6472218917595232,0.5716073754216126,0.7768084391107181,0.7488988707744364,0.8317250897405257,0.677584201596455,0.8822413710679884,0.9138953916195646,0.7934846959859302,1.018007001065146,0.6597912995890584,0.594494845005906,0.6203118053093387,0.6638119523033021,0.7681134564186035,0.837776424426686,0.8031294702597673,0.7256924059388883,0.6814185015957781,0.7500149141928687,0.7429713965310965,0.5829567226637902,0.674343316718227,0.7681070104719752,0.632454356879557,0.6451916907168349,0.7700791491199888,0.9482241144027683,0.7109910169142909,0.6992530014632958,0.6427172636746673,0.5980379766880947,0.5575737312025513,0.586604344744269,0.5790593608256667,0.5513442069489684,0.5579896472746882,0.5581223543173027,0.6036593634425351,0.5514338748490096,0.5817826346227021,0.7890381995084025,0.6511816700334325,0.6970799383632659,0.7257816245648734,0.9232971098645412,0.8181089616744386,0.7718961071627153,0.9503324703948037,1.0946516303500982,0.9174443776592962,0.7799439822820741,0.7029467754855299,0.636853399112639,0.8074804328549232,0.7628746329244575,0.8728913825059514,0.9274288988833831,0.7426999529965368,0.6024590383412557,0.5315550941133549,0.4351921372226073,0.5734491183293521,0.5913671120429707,0.5153794399152807,0.9641750627886342,0.534470408717061,0.48879649751832077,0.4838352799544359,0.6350870611923289,0.3893576810059048,0.5122319103279603,0.597427017686456,1.3199045097342716,1.3166704447170412,2.1821351227617494],[0.48755168027520157,0.492093686238511,0.45388613422057905,0.3643881996867086,0.4114804515774229,0.441188425040838,0.2856395677839091,0.3337685775986335,0.36524078087043604,0.308554541821115,0.3345756308805048,0.4204501066351472,0.30052957569869343,0.2858746952456199,0.31780825735831514,0.3199291363686236,0.39429711772893944,0.3590523817708283,0.4049504221651875,0.3711239969847695,0.4399025428644845,0.5231321304401246,0.7431862129695062,0.8864348644044473,1.1953762321183945,0.6583339357195296,0.44492200343215793,0.29691926542014313,0.32749666539938266,0.30995623304632297,0.35202723246551504,0.365858935664744,0.3858276372170982,0.39735090995664835,0.34911609876240873,0.33611496132006063,0.3578506296440228,0.40615927286989956,0.3156482538451648,0.4149078738294538,0.5775927805072296,0.5161851069002051,0.5477660763462704,0.7680031735034399,1.0745092119378703,1.6298883503429584,1.5756111865362885,0.8096099226281088,1.1189857002851413,1.611824282409028,0.9191532392390206,1.8846173131280382,0.7232117760557973,0.9143191222430439,1.9845012308519265,1.179784753081993,1.2213457693186878,0.7752156561953158,0.7995739410184602,1.7907536829559778,0.6830149366206647,0.6649701412666137,0.6847451595047059,0.6565270048120975,0.595259429332928,0.5006041232905548,0.6267180684282653,0.419977513298235,0.6204638325038266,0.52187284740182,0.7101339762320171,0.8929241968581298,0.6526914324466513,0.7529223323676072,0.5021440791930288,0.9909999186226375,0.4362931001290526,0.38982490933470537,0.3601834799461466,0.43810664397404747,0.3628115160465054,0.5665989395291384,0.889785576822308,0.464427752013916,0.45006163867595145,0.35077160040329175,0.3799459789490607,0.503276127548878,0.3274328529525039,0.4395423881816402,0.3754029385378892,0.6037079911089549,0.5099608977365714,0.36078218230101666,0.36521419422008417,0.4289724796300931,0.4515370982586086,0.4205336993548272,0.4348589740076713,0.5891446305186271,0.408833948072149,0.4901529419780166,0.37000333521813783,0.46273131851317495,0.49839344463921215,0.4796858792564457,0.6473459165089983,0.5068651746463202,0.4880375384427447,0.6446378664608349,0.4633193182691762,0.36834338907090763,0.2806254714767036,0.30669948944243386,0.25937585047879375,0.274162283819213,0.38854605932488884,0.3195525972781526,0.4973609951020672,0.3802710103844897,0.39224328046214313,0.34523942992289647,0.3326041696700021,0.23962481545896472,0.24714821529440212,0.33460772069556405,0.36161925910925197,0.3680754141145287,0.40308472491446096,0.42146025710155965,0.44072223646711295,0.48040351274579296,0.4348260320419406,0.4522908744378888,0.4114194731473412,0.6388925522016485,0.5867236197822828,0.4145897634764053,0.3266535988039541,0.28039174851314486,0.39924124598456157,0.5622145163354005,0.41583237328466216,0.3179834125350789,0.4197149039739405,0.2818396458223321,0.2756674391987003,0.30057872230499966,0.27539659444992054,0.3439817229098525,0.42480732430348517,0.41546128838998425,0.6012533716017894,1.1781921305752683,0.8701919160537298,0.4803877956858742,0.3939269976522595,0.40666798777392077,0.3069536539620786,0.37429977671097214,0.29774503830598864,0.2946715457500493,0.31615999232739583,0.33275678408320614,0.38630166128148263,0.6294504603918188,0.5172488490228468,0.7492240191608897,0.7612917006489764,0.6982984155727109,0.49084050661795436,0.3838433005336545,0.3815599978338072,0.36765220519012265,0.3284940299314758,0.3404167218997794,0.35505985002716084,0.4819651571249042,0.3817522730533409,0.3741647117443743,0.35849499164285437,0.3475769148955586,0.3817857057830723,0.4520833128917514,0.46338094215885617,0.5914685481205263,0.7411606393007732,0.9896348085037691,1.0547025720258327,1.1928154362608678,1.1080644361090108,0.8562608089479339,0.8422308213680687,0.7414559339926897,0.744832403278855,0.6789757781089135,0.5886186160783948,0.5761269571935272,0.5902785417217814,0.6389730012592509,0.5508414295701123,0.5457873889308731,0.5519855264113462,0.5436317822196705,0.5394166049947966,0.5509446561295923,0.6584226826819127,0.574818487247776,0.5885054348517721,0.6020780442084985,0.6431023822812945,0.6756839738205803,0.7350579118985054,0.7864867362088882,0.8269086493816961,0.8272125318158433,0.8463696396907416,0.7860404223572043,0.680974088564327,0.6758628823114536,0.8228974736485416,1.4301746000874953,1.1297788860135989,1.453812467514815,0.7160043250771276,0.6394099193507025,0.7062461178349895,0.7295265217307831,0.7016613109511093,0.619952185317719,0.8204190495814159,0.8047707537476443,0.887818909893908,0.7331375706985603,0.8757202058098803,1.0010664764027897,0.8424299265089614,1.0279547468881625,0.6860724582895692,0.5994357111568542,0.6307413580296042,0.6620652758054655,0.755987222384894,0.8556366978279405,0.7928484598918708,0.7234761759206966,0.6901302216507452,0.7412049546482871,0.7597401061246006,0.5990057587477942,0.6934061985376477,0.8031523063411771,0.6552213210193251,0.660007821586855,0.8003149710141703,0.9825229138693219,0.72023378625437,0.721315145436883,0.6710731739344036,0.6369604956711756,0.5865616593467721,0.6159878536990548,0.6341446952398899,0.6001084458451003,0.600901173495049,0.6243173475385487,0.6725192049086992,0.6001465188698397,0.6502258386588238,0.9033277368816129,0.706827623169137,0.7347802247610152,0.79812729553966,0.9902398493285921,0.8776422508235826,0.8197816498319853,0.9949238068030052,1.1102116426264372,0.9948887450981493,0.8324185207816978,0.7343436942313619,0.6558669580382458,0.8014419793226479,0.7951311017889167,0.9213231411573178,0.9369489067796861,0.7598348843252474,0.5993399668698295,0.5423132344641743,0.4287738001795123,0.6038328475644144,0.6183923766507294,0.5366555855870363,0.9189126961522932,0.5641060459248375,0.5240942052049554,0.5391333936866392,0.6754627014530784,0.4259011625627109,0.5381758356570249,0.5730451036759926,1.2207856904872185,1.2358972452861763,1.9831344232234096],[0.4676316954642385,0.4619992262966508,0.48728409903323816,0.4661576694537402,0.46377256691018787,0.48470749535262214,0.3240245758994917,0.36773971588707544,0.42766338683202776,0.3585862998429217,0.39145513215088856,0.4303002486251137,0.34812239031655384,0.40209621510593824,0.4431398217901954,0.4106594106034336,0.47758757730295837,0.4745252485486613,0.5316439279822135,0.5083957703550289,0.6102266060728021,0.6445228591548405,0.82469331165683,0.9810141494850225,1.2629709523396677,0.7908002084026409,0.5509936907926619,0.41844136898979095,0.4062843793971872,0.3980407857692956,0.47239147147060273,0.42177968888185075,0.4476219615065923,0.47457499513495266,0.4165056365843244,0.4441357616553602,0.39867696068073477,0.4457533013795556,0.3879938753705896,0.4114677878349782,0.5970388726752701,0.5268137592634853,0.536884732195298,0.7293331038291778,1.1445430119735025,1.730537409421985,1.6951646007831842,0.8679703625294015,1.2021551663050565,1.658697239021004,0.9761186308371766,2.0370008444524963,0.7814577512794957,0.901918855828905,1.854135983114429,1.0393149587311508,1.081303120621345,0.7889748159248474,0.7492803843593071,1.625561132500946,0.7361310481908054,0.7668576582317159,0.8689441147731549,0.8855622019204475,0.6757976314755799,0.6354146593622871,0.8278171158526574,0.5551629120124929,0.7663203696292614,0.6384556552790709,0.8043467192458384,0.9937525093276116,0.7584861322025543,0.8554979465921771,0.6458692403995719,1.184133744038357,0.5454313702110423,0.49659694194691595,0.46815911684222633,0.5706969003517138,0.4043390325467906,0.5270951876104698,0.9807538272582572,0.4578195756944013,0.4591436300967058,0.3613681989162547,0.3924097472549875,0.5441229595349497,0.4484132050262504,0.5162115070988109,0.4688396155634816,0.7186924635168652,0.6186432687292545,0.47534790391029524,0.46577175214999184,0.5527382552075284,0.541748253626918,0.47625302645503453,0.4700686442092699,0.6053673748107806,0.43737301432843234,0.5080868117071419,0.4014286254795202,0.4678404558286498,0.5106056443624191,0.49901128237116293,0.7101869909262263,0.5477764518397106,0.5430445635457735,0.703826552015851,0.502411267175402,0.3802723695858891,0.31973473017512155,0.3352371765317739,0.366798027194442,0.36972961211923255,0.4924419296862164,0.42861294915312564,0.6027915028845924,0.534105977385234,0.5614770876575953,0.5385000297078916,0.4805325437047679,0.3776054151151842,0.3485305384824371,0.3624509127626297,0.38448468282082227,0.39569950204563825,0.428446167679835,0.42786816022070756,0.46953701752879906,0.5261501450331619,0.44582162662882363,0.470923032938416,0.42236818060102005,0.6563743415362943,0.5718319845330494,0.42617945331167106,0.3808060566456604,0.33310905188042605,0.4556642046668604,0.6097124745137263,0.4932421929067026,0.4148249909258622,0.5164555504950721,0.3712660097261711,0.3525780159139593,0.35890800330045985,0.30025693342680126,0.36113483314428035,0.42742896762133736,0.423930839770243,0.626533869143535,1.2122471661086023,0.8649899159299324,0.4730465138084044,0.400788170529708,0.4127196142817622,0.35576130168305986,0.38830119257339896,0.3167641728666297,0.3366179965712444,0.3494526644246929,0.3778230989186406,0.41920443013442366,0.6632247927364457,0.5227150782195208,0.7535884226153825,0.7597329424959682,0.6897128679578313,0.4896834039821296,0.4052106380348092,0.4023798247437333,0.3661949594925409,0.33999985151833373,0.3734465653636539,0.3970404471509497,0.5454329507096506,0.39657932188668477,0.4055504398176556,0.3677342290364174,0.36461547122672505,0.4073450282913316,0.4655425476829565,0.4604294572572904,0.5656668359630577,0.6870683221808673,1.026378495587845,1.0770850833276278,1.1999131994322716,1.103463417578845,0.8479353785431103,0.8465553351594723,0.7384731912800676,0.7543735389963381,0.716439522839899,0.6274479227396402,0.6341901462896262,0.669995273293343,0.7099719267315764,0.672689320463779,0.6694997490893405,0.6573575637540389,0.6773546021911059,0.6859490748941468,0.6939162929090493,0.7635323370132236,0.7125252602663592,0.7467235203107052,0.7425982157059056,0.7757557840806164,0.8209079866790987,0.866640511643427,0.9212959212785556,0.9279052406540185,0.8569621261379858,1.008441983229035,0.8880239763904265,0.8040637735264456,0.8406732012869084,0.9747199722384926,1.5266355529910425,1.2461911122399627,1.463712049471859,0.8162947565444976,0.7732819954109791,0.8389311189173291,0.8462139327480639,0.851477270713005,0.7491490373376298,0.8941075225809109,0.8607969880510092,0.9731884563785603,0.8218989614158799,0.9336058024212679,1.1278259726351711,0.9343927170268403,1.085713023785193,0.7922001988280064,0.6842064594484446,0.7287453750109559,0.7683139387688841,0.8548021381477807,0.978716457507198,0.8826504137136651,0.833592996026667,0.8307148128520208,0.8670751973961293,0.883613304313037,0.749624577452861,0.8529068314196684,0.9473365610719189,0.806271918914204,0.8409420677375113,0.9736746976119615,1.1134652473986564,0.8739813802158131,0.8908255778845479,0.8423247754249269,0.8116308132369077,0.7458935553228342,0.7594200846275976,0.7929696089755515,0.753453683094976,0.7319438545082616,0.751917291677443,0.7699502946613234,0.7254823238463736,0.7747549973737156,0.9435302322670251,0.7959620587245888,0.8609963416944779,0.8768284067017289,1.130580956040348,0.9639430961923824,0.9293404533947038,1.129643052824343,1.230475288037606,1.1665252700328508,0.9646939189948628,0.8277866932378893,0.7533404771504063,0.8898501650469098,0.9862960045505201,1.103274601528805,1.0446381375582325,0.8873737429479023,0.7084927732021361,0.6188025958332743,0.4815376542651014,0.7378646757784175,0.7030022881809035,0.638106362667677,1.0010803211911146,0.640951177352966,0.6552801824241146,0.6561210795617561,0.6878218648943725,0.49972755133372726,0.6445795788981341,0.587451378302693,1.2766104494817565,1.418611926283306,2.010249712765629],[0.4903614107010184,0.457860964916182,0.5382395027953286,0.587756868051317,0.6764218769514511,0.5451351217859709,0.4078338355511859,0.4578035592495818,0.41520984571869646,0.34688300282516665,0.34468776724047384,0.46038590865757884,0.36255226010013936,0.3151115057933005,0.3523404103971132,0.36600740258823194,0.44910856036505653,0.42132908525820795,0.4475452182535073,0.41196905550219753,0.4769260810216362,0.5672008711318306,0.7987408927748302,0.9467610702755886,1.2207954720289547,0.6552969599033529,0.4648544131857266,0.36111153870031154,0.4126046458984825,0.38091524915457303,0.3993420828904061,0.43107666830073915,0.4478687320276253,0.4516691425646047,0.4158650471991057,0.38607420559237005,0.46012449533318533,0.48675336225988053,0.41865142638025216,0.5345538699686119,0.6546155347700406,0.5652075695517476,0.6146878726519623,0.8597657458845034,1.1159294603882999,1.6271579074762068,1.5999898195504518,0.835113599269452,1.0185234885569014,1.5602742325206032,0.8977089858413922,1.6361489599309835,0.7484581656703385,1.012028161323932,2.1785461219358604,1.3632257675399793,1.3669346491367378,0.8288728195534032,0.8948277576895578,1.9500929028668514,0.7508383232196585,0.7066309145962594,0.6951738627907563,0.6812114647220027,0.6367766425474582,0.5317089754957725,0.6434484437701312,0.4544643043911267,0.6416892267695041,0.5682043657418041,0.7508405853868589,0.9236948507623929,0.6958781678519833,0.7859390506378857,0.5026340369781812,1.0127163551121297,0.47779063127509774,0.42639484745292133,0.4164731793690908,0.48312645858514175,0.4598078706006986,0.6743761772329483,0.90430312125895,0.6001668340402323,0.554327894112968,0.490407868519277,0.4748434280072827,0.5813910326921455,0.3883395763807066,0.5034354751494668,0.38374928610481673,0.6167939264223985,0.5264582611198456,0.3982400646142808,0.3988960718700437,0.457332639888943,0.46997374527899793,0.44698389240667996,0.4814886685769512,0.6273156369138085,0.49100672376394844,0.6006548347748846,0.5285181351774672,0.6648929040015784,0.6906202876626237,0.7015142514350489,0.9066345186735347,0.7718881891594711,0.766436378132861,0.855692254692531,0.7276424863956229,0.5853409321445414,0.4428185398843199,0.4606061186922921,0.35742848814316247,0.35432595961057495,0.43994385609416414,0.3984394788499625,0.5480698692527275,0.39761247397834976,0.42399385535730016,0.3995688577704516,0.38416406909301454,0.3027558238110267,0.3305418804053137,0.47876584163629915,0.5811256812663516,0.6073009272850858,0.6609969334687432,0.6535729808479926,0.7454923500781456,0.8104000183845798,0.7115307899250485,0.6894407579929965,0.60088477047635,0.6706900558809474,0.6929577574987135,0.5294025194893672,0.4041423005450504,0.3987402364414111,0.48011489240646044,0.6211852905587198,0.4863779543685168,0.3923240360994955,0.45289465221817765,0.38616962988819487,0.3917710335041049,0.41293256198799044,0.4327752332304263,0.45940927041199264,0.5790292482304985,0.511596492054676,0.6766825390098835,1.1724492027667461,0.8439060710340527,0.5615063596639175,0.4832584490700144,0.5516449487262377,0.44001186213827465,0.539180693237931,0.4691012929889878,0.4369734888315624,0.45268057435713305,0.4532015488183819,0.49273208575085464,0.6216853691648779,0.6324380845011514,0.8239734182177864,0.8284750715669688,0.7609787229062855,0.6225425753674942,0.5071247049671156,0.5141593450124787,0.5514381262956053,0.5085190816357801,0.518564344569434,0.4819618542259183,0.6113754814077516,0.5423868950118885,0.5750074314032824,0.5461849332131525,0.5684908511472179,0.5963278859909057,0.6754724928143319,0.67453141318472,0.7476554272328445,0.872690209813747,0.9874480065638528,1.094978107191321,1.3167561877924674,1.19684368750631,0.8514624381249861,0.8862352333471969,0.8091048310849468,0.9289567004675835,0.9646634220459255,0.8835988456664323,0.9280454039606512,0.9485563097882104,0.9893389722989318,0.943937607075831,0.9203303478760771,0.9173012778633719,0.9266226436185464,0.9141002156982365,0.8952512390684602,0.9407861220435452,0.9057003737712188,0.9030068363989054,0.9034983657983462,0.9390573830628769,0.9451474381096302,0.9698959971062006,1.0801221308363411,1.020237420442469,0.9405052900304326,1.100036462375499,0.9846487005149644,0.9655428151013002,0.9714727292588683,1.135039851809094,1.5132512724780924,1.3576636630881205,1.4699430821746435,0.9812150328950645,0.9510791452003066,1.0265479479768154,1.0445787877171981,1.0598661418536215,0.9706222540465713,1.0687572686734244,1.0767056618152586,1.1741863290970744,1.0513170396604334,1.1263551152109184,1.360902559298951,1.1442975217848164,1.2770622241633285,1.0466004101380675,0.9686902648917542,0.9783825045497098,0.9717380533456224,1.0087404490759058,1.143654773838363,1.0283952507199137,1.0101481965524917,1.0099593984938728,0.9790007973476612,1.0258954517601633,0.9084534561825831,0.9450491713253725,1.0105260978470083,0.9169202791964424,0.9399622221394474,1.0131422205362737,1.15491765497084,0.9500288547011754,0.9629488373855675,0.938489800257399,0.9375838977818851,0.9168463396052617,0.9385396038873278,0.9405573445091067,0.9240601757865784,0.9385832599062197,0.9340508613823337,0.940443563763761,0.9369588975147765,0.9716942632958105,1.10261263807302,0.9761774500654093,1.0752443611661477,1.0642786265705018,1.2731418521317734,1.1154120444959477,1.0753669555855436,1.2631872732990481,1.3288783685153787,1.2132121944855698,1.0634920834285244,0.9530138990561957,0.9014829208357347,0.9942286301845266,1.1687973157468436,1.2975735932133396,1.2223862639396692,1.1140162050434927,0.9547180082703565,0.9031247433942738,0.7465715379952844,0.9916188560259828,0.9307713167935471,0.8402289486408474,0.9688966135834703,0.8082149413902682,0.8048055359771941,0.7653457257943646,0.787887912047659,0.5959396824085553,0.68484581714272,0.56671777526605,1.068620388613826,1.1076212816537125,1.6217566311242908],[0.47272174621178337,0.4193030402527123,0.5411780181939265,0.5404892844027196,0.6394910638013352,0.5021532311660187,0.3599601974304247,0.40069676829813683,0.3823672061697976,0.3139231008774666,0.3222584966021263,0.4040219874324651,0.3206907271068062,0.328128288404606,0.36867057396270597,0.34695675153441535,0.4290508995860869,0.4084039075060871,0.4696203760049284,0.43545829573930983,0.5297005334855625,0.57868597908014,0.8595096279792415,1.0009272428601506,1.288580643498964,0.7412562337445127,0.507146906714031,0.37143478297943283,0.3854662964629284,0.3566952716410791,0.39899771689061764,0.39854855006857837,0.41436811229633447,0.43097032544496705,0.388584280748304,0.3865746702542029,0.4145389384426773,0.46994000385130946,0.41878915734597344,0.5233432228976326,0.6701032810636306,0.5624916524195461,0.6054678204824697,0.8477745064070535,1.1402852696482764,1.653639365811873,1.6823665737684512,0.865847627305773,1.0283224902384098,1.5826370153586846,0.9496964675891296,1.6498647660230346,0.763946405615419,1.00280779654382,2.1072353365621757,1.279569085705404,1.2694978773876382,0.8125790255532137,0.8355800027099665,1.8795073398075068,0.7552304257642045,0.6872173343308632,0.7071235284478846,0.7712868216515427,0.6677440852153558,0.5465775776140775,0.7230396761712959,0.47045197384586557,0.7075692281749573,0.5879211824956369,0.7684559754341865,0.9744162371512547,0.7187377784347831,0.8146884851816111,0.5659059698168685,1.0903534268364585,0.4923835666044824,0.43103367103796203,0.41701277178537527,0.500875753202586,0.42665115798258796,0.6245550769877164,0.8989354772577599,0.5671837405078072,0.5532220835710188,0.4522523674136249,0.4383365470975908,0.5333435160249008,0.38333851905842065,0.48211430041233666,0.39174470448576165,0.6621734458235947,0.5598839292144283,0.39717916356416766,0.39333336226997245,0.47260907619996767,0.46766661707285817,0.42211092339363654,0.44233395657235086,0.595433057216381,0.43732386214669905,0.5448654566429636,0.47328261335270966,0.6100141943156382,0.6569292485080706,0.6687346133643647,0.8704100221911961,0.7450673735995746,0.7417316281443688,0.826442664015155,0.6783560890947161,0.5399179078515723,0.3951046049115456,0.436449498650658,0.34984619741358597,0.3577190902549531,0.4395750123356973,0.4077855214102595,0.5974759171178278,0.436576782746762,0.47795042180525615,0.4194688744689822,0.3934166066862069,0.3191774261389031,0.3281787866445529,0.461427086929627,0.5398987074238065,0.5780914987498802,0.6399317607248163,0.6306154583905723,0.7454308945053145,0.8074190647625491,0.7209376735324754,0.6682908443732017,0.6012306478681977,0.672172893532168,0.7120036611108066,0.5286841405627624,0.41899094300735984,0.4076422643836591,0.4728253565384256,0.6437423757806532,0.502600512388636,0.41150444638182765,0.5047207666240087,0.37927047827576177,0.376101533331939,0.38905840294928534,0.39142238393444784,0.41302018992552836,0.5249163940980115,0.4534689200681945,0.6375729027922351,1.1729154382329068,0.8368999918073915,0.5044202523079623,0.42318194538599835,0.48836251705904965,0.3918726508002406,0.4959921870835822,0.437185331682187,0.40926285075860463,0.4403703870253001,0.45122473436634686,0.5014876139201537,0.6670379902433464,0.6435767478731763,0.868049671339875,0.8681822429528215,0.7732064618099861,0.636306053264133,0.5137371528079527,0.5116316308949894,0.5256560898121241,0.47999271213841815,0.4813228227191408,0.43716881506246386,0.5803549812197801,0.5152066342620959,0.538259768440425,0.5264013006177176,0.5385045025918245,0.578919969947587,0.6661820282841713,0.6581941427395469,0.7205093600662666,0.854374170438786,1.0557216295017111,1.1626696098742917,1.330012802484803,1.2065504647215983,0.8572225707093759,0.9130793153935267,0.8443801911207538,0.9906765477277266,1.0277306267146107,0.9290891247565902,0.9617270683861696,0.9839065524127847,0.9844739155698932,0.9630949753437904,0.9122854004584178,0.899373754788104,0.9453948928128596,0.9378116664449034,0.8945008795826873,0.9508091412788958,0.9487414062677227,0.9345407285574648,0.9209420110039598,0.9857175243113874,1.0106075500069844,1.0102243591438924,1.1339049270622938,1.1094214661044315,1.0380170941154276,1.1994016747572702,1.1165179949817245,1.0629562008941065,1.080302598053931,1.2475334771002426,1.5425110446182535,1.4754592987642838,1.509889537565128,1.0443723681537393,1.0020040639537244,1.0523865109288288,1.0935996856352062,1.1286151344705875,1.026382598294647,1.123428405656493,1.1617319690460863,1.2517675698407502,1.1176443026557863,1.182178538322578,1.4938086109340363,1.2350614045012758,1.3267225916127559,1.0997050313356411,0.9878549482858112,1.0070166526109408,0.9880554415402955,1.011200009269364,1.1585141815545041,1.0083951635722708,1.0079560929745603,1.0126727691416249,0.9703848811708108,1.0079419322437504,0.912398104788222,0.953655119640326,1.0148506576529455,0.9250865365462073,0.9753498525897,1.0563817951125747,1.1894886442911645,1.0088126456693622,1.0455294489841163,1.0058257799071704,0.9949902956234192,0.9548053375323776,0.9915058742791867,1.0139496229369687,0.9811310278603651,0.9947609913607511,1.0188431659392085,1.0247416909601583,1.0000215803345587,1.058910346545021,1.2021549695131146,1.067486312079881,1.1646411042067404,1.1752919863527895,1.3811011586368955,1.213118492888313,1.1602833829962054,1.3968934537906907,1.407500219692469,1.35960735068032,1.16148737912804,1.021236437233898,0.9318646783697986,1.032283021305362,1.2077431386565176,1.3795706826220633,1.2511653402924867,1.148031460483421,0.9481311301262756,0.9027624912340749,0.7178349671881455,0.9560340233669193,0.891321739986047,0.8124921003296894,0.9479629287730827,0.7629895985461757,0.7768992205871932,0.7418086430682199,0.7434414473122951,0.5530750076263693,0.6774103635961276,0.5295505676935548,1.0944918658990015,1.2035468068953814,1.6481712215551862],[0.5185616980684216,0.43507545433063355,0.6545278880022265,0.47669034267918237,0.6153316849212809,0.46988342069069483,0.3686471004360103,0.4238574838854174,0.40115725815460546,0.33601060739259137,0.35801820363325676,0.4582208847643415,0.3435878479855234,0.3426040184308058,0.39383309420505824,0.37370087872430563,0.42775665960233045,0.41517304610286704,0.44882215681781645,0.41427742903961096,0.4923534544168063,0.5633738427441173,0.7718085654704756,0.9336729666982112,1.213220471504905,0.6714696690011359,0.4609592262024981,0.34882800193708097,0.38649063947182655,0.3727583416666987,0.4222936526366397,0.4189507794196482,0.4359376348665053,0.4511483097951685,0.40533964793924826,0.3817151246357338,0.4301770885387024,0.4393498197646035,0.3856607221742299,0.48217223061166264,0.6150094602947102,0.5326633148686106,0.5736933839204017,0.8161248249359929,1.1190697755037489,1.6590753742207522,1.6293146353575938,0.8349646439188753,1.069731113239979,1.600644171861147,0.9267891074320774,1.7207848433924822,0.7421847867463306,0.9624221544266818,2.1137894148868157,1.284127396221052,1.2875322810737195,0.7851488348751109,0.8313151674709535,1.8367319333741328,0.7082542482724806,0.696748957428776,0.7388436857885624,0.7415795054780588,0.6136065122469883,0.5228689802470082,0.6945796468515466,0.4692650424596737,0.695464336296229,0.5897182068059008,0.7856937925410847,0.9345056549706084,0.7246346158734892,0.8102223060624162,0.5544230795250338,1.0894301030810818,0.4776595616182531,0.43242693908897895,0.409508454713491,0.49301012230651875,0.43738725117321353,0.6277433820872705,0.9074443743685493,0.5608435769027356,0.5184948625457826,0.4541385684599513,0.43970936918110864,0.5848432498004574,0.3836403614214369,0.5049775254382444,0.3981025523312769,0.6301372719685412,0.5411675108993721,0.4272168063170591,0.42327834738147485,0.5062108038221841,0.5203351719360793,0.4493784316622433,0.47778820094874125,0.6523448691534919,0.4760447206035505,0.5997243236241768,0.5043992844754186,0.6383910492780202,0.6493030243579904,0.6715866463940765,0.920332329575852,0.7621979417479827,0.7572407053456799,0.8523840746380438,0.6925427946486036,0.5437431110751165,0.39762943467526923,0.40024689040137984,0.33748483041108596,0.33392159677691957,0.4359367864624732,0.37738220148975987,0.5471486184053918,0.4420680603054107,0.4734742753158659,0.44871772020617423,0.4054797112398044,0.3161293484030082,0.3137469672228881,0.432202254754916,0.5207817322612993,0.5700127128807196,0.6214372065882826,0.6130666564275978,0.7101056028074807,0.7936930582487914,0.695690186177455,0.6570581830439899,0.5704045259776298,0.6660173274836769,0.6564506217394401,0.5087711396773611,0.388076815423224,0.3720538131476699,0.4533799259807778,0.5996938054814728,0.4768000312439664,0.3841556145820911,0.4586828070982191,0.34891644820067674,0.3480889506281066,0.36626471780657405,0.37589705176111426,0.41724465103985725,0.5258443778002051,0.47598513658502395,0.6776175866422908,1.1854919249098688,0.8433346160976953,0.5401114987588572,0.4503334871990429,0.5167017784748565,0.41111679435266896,0.5067864843653459,0.4194632537587475,0.3972048857637263,0.423546255381002,0.42745933655394686,0.48626600851014695,0.6345364341249221,0.6123677589677687,0.8222889870619763,0.8432266245491149,0.7535383813492983,0.6041294507876537,0.49395974840738605,0.4963840510746571,0.5158744735904647,0.4675255521229346,0.4819236789576516,0.44892644637442514,0.5910140894012672,0.5018238455170642,0.5572757240799675,0.5123702669506025,0.541669045914633,0.5899021626474684,0.6525958475979923,0.6477837279471387,0.7074674189749381,0.8165544232661618,0.9867886864125192,1.093663259726864,1.3020509900114816,1.1701977437990023,0.8139585820638886,0.8554574555755783,0.7973796802689664,0.9227130752197481,0.9539876570359258,0.8667385336369002,0.9136931295052506,0.940264036476505,0.948290440898225,0.9584629069437086,0.9245356301365015,0.8961577620058923,0.9503119540049778,0.9657300316959534,0.9326831134974657,0.9672940582575738,0.9789738434308767,0.9901215884423763,0.9642186992547751,1.0262989213792115,1.0657372446632085,1.0725698754331363,1.1753221356407273,1.1510513687510278,1.0609535775335335,1.237173087823869,1.1251871505720983,1.0793999092720932,1.115926404008083,1.2589564263202957,1.6003590410387891,1.5175644730134525,1.5633429535026644,1.0644801425771326,1.0343873042933815,1.0873121113122772,1.0924708537394037,1.1481350313300784,1.0323304341989918,1.1287473394089287,1.1301552082883402,1.2482787189884235,1.1094907675958015,1.1373232323619737,1.4519894270096005,1.1913485867668991,1.2602228050329307,1.0690633932605549,0.9563081465409824,0.9852518714955395,1.004676096323521,1.0333542496159371,1.2122190276127462,1.0269474136664203,1.0322584803152794,1.044411761124726,1.026331456435508,1.0570895797474182,0.9659677429868347,1.031076754893694,1.084320752674372,0.9886442170989348,1.0595614287971382,1.1472290538798908,1.2602736798042316,1.0859159545906298,1.1313673630264451,1.0834245256788697,1.070426772161297,1.0071242891163459,1.028374499680458,1.0691632578987118,1.0254873031731708,1.018737501208797,1.0391429477885084,1.0442075673767524,1.0104801756679131,1.063057083447621,1.1752684411235568,1.060012894888853,1.1517676466407887,1.1607410533804001,1.4026844489847405,1.2028760172237427,1.1628219723711883,1.3346231668254795,1.358592056419628,1.4221005514524112,1.186976522267917,1.041028205922339,0.9697891012710318,1.1115411653764007,1.253240474735217,1.379044059553298,1.2529821229150757,1.1366250220416878,0.9353426733364307,0.86669066454562,0.7040521320127495,0.9844863732495707,0.9103274825398628,0.8500481435516922,0.9446042451853098,0.7831812260633759,0.8225099382163422,0.7994371593368182,0.7279563466236819,0.5796026843787564,0.7343820222119976,0.563655516435633,1.086711041961011,1.2922479648420153,1.5846495656208879],[0.4117005157141381,0.39379591731916813,0.5587434796485329,0.4344427614331653,0.510870292629163,0.4481617568852607,0.33205634233675474,0.3714741460483438,0.44955887303372544,0.41634803045080904,0.45836302955504576,0.47825242640558896,0.40282021295479686,0.47549549691782966,0.5272986286214194,0.47521438817015277,0.5190957797011299,0.5323134021407783,0.5788857420807552,0.5523844911477515,0.6449121048283349,0.6659625305083848,0.8552498625275207,1.0044324473428468,1.2743827335773505,0.818735904869827,0.5809682479052296,0.45706370820114767,0.4573251014508155,0.4300688433271354,0.5452925936003645,0.46398425245116875,0.5119501335886946,0.547505738470154,0.44992208812151047,0.48513674559118947,0.42696785285814987,0.4553630361578224,0.4064389587962125,0.45057824981265854,0.6248009130714142,0.5662693232808531,0.5728079869977158,0.7586652492448018,1.1359371055772742,1.6917943171290635,1.6775724360116595,0.8845647251397498,1.174725772091555,1.6292757432983762,0.9713106325095988,1.9484730776329537,0.7873419186552658,0.9019616585458256,1.8934389829973644,1.087731865038538,1.1282835991853923,0.8133966465913149,0.7934993159359034,1.6634487386477503,0.76414515930804,0.8159258741437818,0.9314494080902224,0.949983171539774,0.717954823855751,0.6727800923172506,0.8900096271781166,0.6140785273925359,0.8434985860679426,0.7145577557038769,0.855316901952787,1.024173036516459,0.8165844231698443,0.9156788428972776,0.7134657997594086,1.2230631089687551,0.5785955418309813,0.5580576561652815,0.5086397913017978,0.604233205174284,0.4346832273175329,0.5478206931584062,0.9670829826392805,0.4751322706208238,0.48515771187556395,0.393783010257948,0.431526569616918,0.561390353004356,0.4891002144153575,0.5684240876025586,0.5485772620472403,0.8174175710273431,0.7306400238031918,0.5833522770284452,0.5684600693647742,0.6676352445566613,0.6406039514276894,0.560790885603957,0.5150819640680782,0.6203790570366756,0.45065488418641947,0.5228560600438883,0.4173917369509399,0.49951522067268384,0.5019043297363396,0.5135844657703927,0.7409931007271214,0.6098907179095077,0.5997523025859992,0.7084227392222738,0.5262493171100425,0.39764127471014155,0.34132027713939067,0.3470101077502211,0.38650275568967857,0.3923278114191615,0.5150230704799389,0.4525508855920386,0.640805811355768,0.5915385273091526,0.615250932292172,0.5932856798637542,0.4983048850407685,0.40575738678220064,0.37111463851095117,0.3715192803477686,0.40285716581537645,0.4299378188822409,0.47346911336047004,0.4568153399665887,0.5602944726360731,0.6208785774733029,0.536720915374284,0.5168338479720544,0.4613076094157763,0.6477744159872645,0.6179100091537555,0.44212580420015213,0.3884994176159561,0.3646129060567735,0.466014599329345,0.6113731671612078,0.5319836892642464,0.43370763812027674,0.5181431421307666,0.39306662564424777,0.3765612094746072,0.38758092814300743,0.3166315389918548,0.37239638335552266,0.4240045704091631,0.4135541880900253,0.6057481628347539,1.1957093904856482,0.8354283528886619,0.46798597485439036,0.4155332697240257,0.42417521518805035,0.36851946714846506,0.4012918038737868,0.34304155795637353,0.3490435369203328,0.3927920641591798,0.4056896713670108,0.45324887333677816,0.6731067031399317,0.5678456698869471,0.8068598353791002,0.8091105488333552,0.7315856095979766,0.5422053488052649,0.43295819797224955,0.4272924291315966,0.40717552291421416,0.3640003743604682,0.3608277896275554,0.388058598916178,0.5560348898747891,0.4089302771537463,0.4289515292022978,0.39181374170890854,0.38611299419313216,0.4386813826690027,0.523035422987583,0.5236749271930741,0.631406395575093,0.7596575863642457,1.051731481310324,1.138951357685012,1.2808485160541225,1.1701219632440518,0.8280949819225806,0.8560689723077337,0.7528052752837131,0.8224313309650625,0.8247914481582107,0.7282629311283174,0.7701100509844179,0.8013005190400171,0.7955426311454203,0.7937720281673142,0.7585201955641941,0.7339400134329213,0.7963715115682365,0.808359728606683,0.780141847899278,0.8427885517649026,0.8437402166187122,0.8565835797915277,0.8295366768593903,0.911033606187929,0.9606574942615936,0.9599319323720971,1.0502090761723166,1.0715583109976285,0.9784109391862982,1.1758139535201917,1.0734970236316488,0.9931870466647623,1.036432728653471,1.175470925225097,1.604297944360397,1.436140827679763,1.52928287944146,0.9472317197845208,0.9087020800971439,0.9608953253282302,0.9637047625009272,1.024381170819217,0.8945047756740202,0.9907705618853826,0.9929175944441078,1.1299389426731816,0.967155152778165,1.0267811630784653,1.3421359062527776,1.0990588456690527,1.192443069180934,0.9384626081892951,0.7908387078876958,0.827145161057827,0.8593845269875644,0.9048319138055388,1.0804060867093381,0.9010623721232993,0.8897617937868643,0.9101309405180189,0.9143012843483401,0.9273801800545391,0.8216623223632888,0.9240563925512855,0.9984892895904889,0.8684520097485287,0.9498882628658777,1.067505671117779,1.1735968416467772,0.989129238691492,1.0350147314443254,0.9868516967995794,0.9528620203851439,0.8674017426212526,0.8884252146252641,0.9513730041626269,0.8920846910455618,0.8766247776355331,0.9220189397031728,0.9335668762364144,0.8804664586227893,0.9485963403097881,1.0981329894270448,0.9672392129791134,1.0488458762769046,1.0740420402178072,1.3336383056417636,1.1404068210123048,1.1000957071822806,1.3253656958357634,1.3619175603616338,1.3925077558167274,1.1317995715650355,0.9448354807953556,0.8552270166989022,1.0178045359498695,1.154225884007613,1.3012207981425743,1.170131895796175,1.024287742456209,0.8073842837370157,0.7145144362655005,0.5473927488921093,0.8264260344202918,0.7463772687689714,0.6908261510652521,0.9651698222170706,0.6338866010560565,0.6835462934107084,0.6754881620770334,0.6532791364665922,0.4704562132809951,0.6633328290343149,0.5383926361868403,1.269078246827571,1.5521507271345107,1.9500343415407309],[0.412270361229429,0.3963095326572234,0.6105138492120762,0.41730838079382615,0.556247408241897,0.4460877331278688,0.36610591443297924,0.4167126018967717,0.43155361668291636,0.3876446869028782,0.4061929366025425,0.47806916733662996,0.3866709185753824,0.40868431063634464,0.4589367714450162,0.4371738279331136,0.469062666388148,0.48442243202394275,0.49654436178402245,0.47146369448893855,0.5507736091812722,0.6257123102914732,0.7524509221035723,0.9192001676594274,1.1807842123882935,0.6849311361091434,0.5028482680201323,0.4065637236490818,0.42829464420815405,0.4117422381643453,0.4920995454804707,0.45449395107980534,0.4710192202933705,0.4900987110385962,0.4414832207839044,0.4311214673094449,0.4450430928841347,0.4576272830236768,0.39612336278978066,0.4692037838280973,0.6322663868212468,0.5630205620436943,0.5806783729840087,0.7998414315943151,1.1235982590290894,1.6807026870912343,1.6005839740246608,0.8398663907830148,1.1552029071303855,1.6389890058772656,0.9370232636508192,1.8958843325958417,0.7503567317558981,0.9098576495042229,2.022720686465427,1.2234470346111368,1.264362358669543,0.7953331893037026,0.8388500337818581,1.761925764950349,0.719039739844948,0.7543985394827609,0.8103336446999359,0.7688100468029018,0.6333971233768535,0.5774658722802605,0.735718531996687,0.5273475661526584,0.7179649830311299,0.6371047386445482,0.8306269545672312,0.9700202815695695,0.7716462173595301,0.8238681452178208,0.597030153790818,1.1080360965057303,0.5222117511791913,0.48105906045694596,0.45328252459095525,0.524344377134764,0.4440865995383311,0.6089857661215505,0.946310167708856,0.5210858103745158,0.4852565201349652,0.43131480669307315,0.45372222265085843,0.5862590263055993,0.43277936975240755,0.5577646870276121,0.44843959139226497,0.6458348279499361,0.5826857881696773,0.47821609486350153,0.47268293497517005,0.5506850157294418,0.5707653103811254,0.4778076214669383,0.4983365936492642,0.6660596675008285,0.48183730487586385,0.5866390273494403,0.49268066094789587,0.5820044673616359,0.577402026268086,0.592305255949874,0.8314408707668369,0.6562904747382718,0.6517153494411738,0.7820420779625571,0.612748620079874,0.4910850975180209,0.37696631712969786,0.38144890203510556,0.3773876744304515,0.3801295791427307,0.5025785313932382,0.4288478917070105,0.5694981402987688,0.5169352276030711,0.5277803716474682,0.5233304753253254,0.4728694525366765,0.3823059854445616,0.3635830167509926,0.40624505150012263,0.4623488965505944,0.4944291432853987,0.5217483964221451,0.5077735676857722,0.5861546816967378,0.6620242374412163,0.5708204995912357,0.553764588847773,0.4791506232570387,0.6317402554738736,0.6088509358966658,0.453338188070758,0.41338697057771534,0.3745659301711741,0.4787338976549567,0.5960864810627141,0.4932000066924649,0.40534296380369395,0.4758233477610534,0.3809293513502374,0.37662272903356,0.3779613547719972,0.35646663244330107,0.40860794664908434,0.48405068858775274,0.4660257946646054,0.6542158759817188,1.1797926678990194,0.8348981027012453,0.5275484504002876,0.4485947622841912,0.48618321769289286,0.4131426741447747,0.46483888422445824,0.39282447779053664,0.39896174043520544,0.41194175811559125,0.4122228391492122,0.4580363991917197,0.6397716185544388,0.5767320553626956,0.7816080730747584,0.807636698649426,0.7408069490177865,0.5555214936779557,0.4455183219445865,0.4519373336055653,0.45417523545132565,0.43081587746299693,0.4445122742874003,0.4498270971703358,0.6021196716176993,0.47119393337065313,0.516000220653438,0.4452838960382332,0.4609780750473052,0.5008530244879328,0.5593568294224098,0.5671529061105753,0.6723504511375072,0.7842269250242749,0.9785158961190622,1.064155413530065,1.2674351587973856,1.1425044681736378,0.8044560530292002,0.8235399978440345,0.7361981748460781,0.7795008521458298,0.7960075219257371,0.7255436983247194,0.7480637535644826,0.77369619309468,0.8024727925673593,0.7946836556813686,0.7846831268899376,0.7632377173641068,0.7897194116826227,0.8049450886497986,0.8019027167159681,0.835949249733835,0.812730415029033,0.8505425783812949,0.8334018523718006,0.8752848506638197,0.914954728151175,0.9571556444276837,1.0197775342025055,0.9852344093479141,0.8824124924992396,1.0653795743428363,0.9370437392752414,0.8964530389512964,0.9276631513170046,1.053826278601424,1.596580156628819,1.3449833464645804,1.506083901912213,0.8926104992003139,0.879761744648807,0.9575855097837774,0.9386125150991637,0.9655255184161083,0.8505507726246134,0.9718336060510366,0.9145834531173671,1.0555699471537638,0.92737256616564,0.9956225403753111,1.2328576706999983,1.0200728332174753,1.143870450810283,0.9016896510095752,0.7910395829474854,0.8243282468987423,0.8670069694762171,0.9253155260603383,1.1018557127320951,0.9357315797511289,0.9234010211661098,0.9270982062660146,0.9485354293410572,0.9723753561071006,0.84946009248863,0.9430993927062907,1.021018073624192,0.8899862734926866,0.9458284758591691,1.0630083612496193,1.182480965170545,0.9642031479666561,0.9931976673914515,0.9431519543488848,0.917637951794236,0.8581186538182978,0.8591043835196466,0.8968153870884041,0.85028441917729,0.8379543486059211,0.8435384525671757,0.8513427750472561,0.8232160550858223,0.8692996233851716,0.9839652513430922,0.8712298616874928,0.9672993637113357,0.9515436488046732,1.2309717843242862,1.031240372438147,1.0027290160194557,1.140311155346113,1.2113121890149348,1.2839493213316775,1.0351125614958516,0.881202879471292,0.8392659179873824,1.001563965422581,1.1173483384079255,1.2128142878116301,1.132646636679796,0.9769901373495036,0.8077274510743552,0.7189082533882349,0.5985745959931932,0.8809330391407205,0.8099076961126617,0.7466964898644936,0.9432312621898825,0.7055680269268639,0.7341118508752424,0.7283565112097694,0.6940369320039127,0.5170628053358265,0.6817998731391912,0.521893032526787,1.1293024649915346,1.334574383705852,1.6378054866711587],[0.37326504324094884,0.4116149595918601,0.5221895824404655,0.5664210749392408,0.6118781831246934,0.5241748191005416,0.43788035574035583,0.45826666461100957,0.4673726788545155,0.4138541143663763,0.4078933445016299,0.48778877463380715,0.41093857636572984,0.398671772852347,0.4515538512499374,0.4502357040275539,0.48238386026315144,0.48400532911563154,0.4731545774323435,0.48854282935453663,0.5417715693645156,0.6282824675462596,0.7058370793552521,0.861844394212975,1.1188006843619107,0.6484340297132762,0.5071974614715339,0.43036235517585975,0.45427669744778554,0.44933598716969164,0.49279000099657955,0.4790969445588148,0.4847042631463492,0.5047514151164851,0.46645156391057807,0.4554923312718705,0.48261230497881286,0.4968069280410321,0.44093782239681467,0.49188083700942425,0.6459171141864194,0.5666406604837283,0.5848395370429202,0.765886268371617,1.074257521053248,1.6424039565879618,1.5267801145110962,0.8212838215942151,1.2162486476695646,1.6438354145080127,0.9451477986351573,2.0379193083356664,0.7926753589646188,0.8748540857825505,1.9433671767130545,1.1829505238834634,1.2605836863681896,0.7763205591583935,0.841838327505818,1.7355846519563733,0.7439681273254463,0.8012210957822146,0.8421675925950586,0.7480381952233334,0.6119430005395317,0.584624076192163,0.7129808657206902,0.5329073657236082,0.6909553705709575,0.6014021910426053,0.7959983025170201,0.9293964768069544,0.7402598431547461,0.7888779306595927,0.5756022206339263,1.0762089059515552,0.5234497789657949,0.4935411281422808,0.47399433809293173,0.5512409253503875,0.4938003054233232,0.6262148042445871,1.0179456563220246,0.5619045749631232,0.5319289191797141,0.47448650742021176,0.49253377877351673,0.6205075646496288,0.4615019589462169,0.575342094058177,0.4566988495679539,0.6232449116322827,0.5656607835431057,0.4719436842582994,0.4683157534155145,0.5294874127386912,0.55291424369098,0.490766610410554,0.5133730773136068,0.6571767821235284,0.5059896501492523,0.5966078207193312,0.5269196479299446,0.572554031488738,0.5982152290683577,0.5897529481888472,0.8090180279251483,0.6342603274922523,0.6275932520191689,0.7976001572855518,0.6065898157544638,0.5276617828884042,0.4468276408648966,0.4339232558360758,0.4160096362316478,0.4138532114680985,0.5165960157623168,0.42565330066633916,0.5263286596271107,0.5062712588982707,0.49580220539938913,0.508846346344435,0.4546678816922411,0.40527689152186674,0.41901708590604203,0.4770747568176625,0.49989122712313305,0.5499304515303786,0.5383250902699118,0.5320777840170104,0.5769780842503537,0.6351165011763004,0.5689541230908994,0.6048110503486637,0.5429892596484838,0.7225741893009767,0.6259463668856678,0.5170759980710691,0.47841541979677826,0.42046996247829377,0.49680782773366505,0.57347914869584,0.5110259363636424,0.4342780345366266,0.5052568413609724,0.4339284406676529,0.4301323591911304,0.43348543689561747,0.41924910350353356,0.44602280666268895,0.49504390621026645,0.484290662297408,0.6557120111435838,1.1553755498662046,0.8299976502119751,0.5242867580434872,0.4702280230483015,0.4907477985839976,0.45551921633808645,0.49414255651212774,0.447669399065604,0.4580813951498839,0.46406204917473076,0.46859839640179596,0.5096232145403122,0.6990005911737285,0.605778475964271,0.7694359881599064,0.8084109565829796,0.7555270199247979,0.587997286339428,0.5056858955165636,0.5205250716983469,0.49198256232882226,0.47818592565469165,0.49737384886954356,0.502101246239182,0.6630764694276061,0.5133613570397425,0.5623515880130634,0.4825482744740257,0.5026006163354608,0.550021215795449,0.5763792678157392,0.583131419050483,0.6803011678864354,0.758375534821993,0.9404128179243954,1.021946451214441,1.1932658329008088,1.0712518312706074,0.8710563146243798,0.8247869355028081,0.7460739686098248,0.7209618824647775,0.7537399804593958,0.7133813457123253,0.6715633311640276,0.6936089018535269,0.71778061554893,0.6597034107098678,0.6469253557403215,0.6591550316898369,0.650036533704964,0.6253332565349794,0.6512519227402762,0.7379793705279564,0.6437212481698047,0.6625833204647827,0.6562934791990228,0.6729557931340457,0.6984179432261801,0.7586276053865202,0.7491833651376986,0.7635575924251243,0.7639713765372786,0.8393380620856894,0.7781563587429582,0.6713124029961477,0.6948602481065709,0.8141746559613724,1.577878709098334,1.1642334649758657,1.49525089658105,0.7489858430824017,0.734403524905686,0.8180843549203488,0.8031186439221113,0.8022236154553305,0.6995606374025356,0.8930240239822413,0.8052915768163182,0.9413958239384875,0.7922320252200363,0.897480564987632,1.051638928006892,0.9014277583163344,1.0763076179891455,0.7904274597737694,0.7009968394312305,0.7256103731239011,0.7451742864158637,0.8344759730109745,0.9926021373278656,0.8408643644397095,0.8210161147503588,0.7725106711257187,0.8517026514456727,0.8715240413866951,0.7051529025343753,0.8067131498074793,0.9094369284421063,0.7455728136510467,0.7671564121058919,0.9153687524091786,1.05203717917013,0.779496607190478,0.7966568713103165,0.745948744201827,0.7173519021491832,0.6637830713853883,0.6692199582615302,0.6829189777346152,0.6559300606424523,0.6640511345288104,0.6562040207335658,0.6710826189824664,0.6586693040545049,0.6904146452803245,0.8506331034112382,0.7310002537131206,0.8056548276736878,0.8091945120298208,1.042765209182293,0.8789436992346616,0.8583954648204509,0.9493654667915571,1.0635859786305757,1.10417210293903,0.8718165577406097,0.7622782723049002,0.6774443585902206,0.8726921267387476,0.9592849880613359,1.0243862270847002,1.0301483639146434,0.8343345735764496,0.7404960949373047,0.656425959277471,0.5895599897305224,0.7484505099902306,0.7108059153685979,0.638689214965836,1.0241594823902582,0.6590873644822652,0.6298348716196112,0.6319596234640126,0.6777323743299407,0.5123341040725349,0.597557537248681,0.5542221291115266,1.2896993673323802,1.3897744342969,1.7972603447685793],[0.5853866696181916,0.5083527764241106,0.5477163036558055,0.5664042569993343,0.7424644883459526,0.6766952394276934,0.7157213057017626,0.6938497826907905,0.7056335933417369,0.7708353075393062,0.7405887993443425,0.7935623935362424,0.793618154707785,0.7927816760309386,0.7905351105040235,0.8100619123259932,0.8214923193467801,0.8508074748245559,0.88757636862258,0.8800279984988788,0.8964743575523346,0.972085279917269,1.1181407121732878,1.2078481591214405,1.411392035019211,0.9991489753077727,0.8993964047753044,0.8443666016148785,0.819612477383552,0.7917547934583462,0.7948527722257948,0.8012119096006731,0.8162825526218064,0.8054019252463293,0.790762594387135,0.8117477048189625,0.8060596262558409,0.8639787901616282,0.8342917179022605,0.9044140685788868,0.9896217631993115,0.9519430212698607,0.9690520345343463,1.1460172180549575,1.3687590129015934,1.8804302289294974,1.7741506029179088,1.1507598877745149,1.419639078540976,1.8628304895075105,1.243970808936444,1.9649517741653104,1.0674351922217595,1.2780122204092432,2.3102925670562917,1.543581494475093,1.549171327036205,1.154493366805468,1.2129995140871526,2.0134451221244167,1.0333909298468849,1.036739317700053,1.029526450557605,1.0016296140444492,0.9698305808437931,0.938555360038536,0.964255586997109,0.8951996211867546,0.9430376774209289,0.8790045333808646,1.0466671192463386,1.1781606969902052,0.9881062394548679,1.0353385807372457,0.9035167732150852,1.2633882121142577,0.8955150874130984,0.8489190289066313,0.8614596924274591,0.8556467266805462,0.8408717987431376,0.9631600180965931,1.0856586490439695,0.8674814503386565,0.8317494180744,0.8392338533052426,0.8744851938241213,0.9275119415171361,0.8430310731610989,0.8698996641269315,0.8171003337304272,0.918658972980223,0.851254337754921,0.8019420088838468,0.7907961789131503,0.8015922833257785,0.8301118976756506,0.7908168367643256,0.785558653664394,0.8315627002851459,0.7562702877359011,0.7686431306718499,0.7567395351265691,0.8024376185117343,0.8258034422193291,0.8065713907089437,0.9422503491307064,0.8094943700619744,0.7751555255539261,0.8932395429055459,0.7964899876568303,0.7995771252475228,0.7392262235225788,0.7990472683024212,0.8031297398209952,0.829806759036922,0.9101389289814796,0.8672382586437803,0.8973533183714648,0.8899401797142018,0.8574724629237052,0.8662360717556711,0.8852970867727561,0.8252310032924884,0.7980541392474729,0.8405681164039451,0.7628073916576698,0.785294199387957,0.7460027186898339,0.7366868253590356,0.7494813993464438,0.7732954694172873,0.7601854116618758,0.7581922861497363,0.7510733592398685,0.9318178466115573,0.8132870934720808,0.8238441876205611,0.8468174313071343,0.8372467855915017,0.917781186051063,0.9937347012016972,0.8679001037366395,0.8483805003924358,0.8681965971989445,0.8091792973572076,0.8171727080547584,0.7832131548036737,0.7539944265403451,0.7820941563093134,0.7455233806830857,0.7206199560691711,0.846957867710166,1.1709146658961669,0.8898205113886284,0.7423490382902675,0.7483180407760047,0.7561595331236138,0.7515201556932557,0.7953374243249633,0.7952540261084274,0.7874297307193928,0.8439893477211334,0.8335099609586659,0.8272778113605205,0.9002412405428388,0.8516801843304314,0.9802024541428384,0.9828822961404099,0.9588207197905441,0.8178454712313388,0.8042207802597195,0.8124665112173919,0.8251117491119782,0.8086121696204142,0.7689747649743821,0.8056878015652488,0.8227951142672429,0.8148507000674979,0.8271998162061698,0.7958776066899049,0.7669083375739648,0.7647684827092852,0.8187373185757562,0.8578574436674966,0.9657039121650565,1.0985076105216238,1.2256697090288526,1.273319308248926,1.5189892699640453,1.3303886897321173,0.9841256517318623,1.0170479359046554,0.9430178946604201,0.9269395083313907,0.8564530706316417,0.8195459500378548,0.7816541037365726,0.7788258538352877,0.8333714397374118,0.756192239294883,0.7676776570602222,0.7826158666771768,0.7444287767472517,0.7252896898785574,0.740022027881165,0.8008283368413113,0.7284140944832797,0.7522608207688788,0.7584019631874164,0.7975436480425712,0.831019718616782,0.8719474620070323,0.960955059952072,0.9639611580821348,0.8965808091475459,0.968789897530929,0.8370806110107524,0.766789511051656,0.8040544359593393,0.9121943271073001,1.5397557094497534,1.2112571502008493,1.4806932878020556,0.8325866831002688,0.7871207710902199,0.8695438547255827,0.8731032292122449,0.849621093376953,0.7775378083375454,0.9822468383516113,0.8972678056707063,1.0100822204554218,0.8940118334686579,0.9616842825373204,1.113126987466615,0.9193103511882198,1.1068751408764326,0.8580288715540765,0.8000104432839085,0.8182039868802453,0.841896876663074,0.9087958401177914,1.0295512035635617,0.9211867417459944,0.9016678314400968,0.8566738185628726,0.8816487046599575,0.9162925681872639,0.7850326721692553,0.8340152570734508,0.9150861005660236,0.7997711187444785,0.8198437783383897,0.9332656998844409,1.1093791090591572,0.8578042829923604,0.8597160362510674,0.8206954344213813,0.7966113241802154,0.7465421172369627,0.7675377526206262,0.7805162365196235,0.7447646983375884,0.7445504113757914,0.7456260671811339,0.7635955870777332,0.7378138691013184,0.7681659320432138,0.9168784630618034,0.7800237272924792,0.8468304354491857,0.8468135801005386,1.0606878393023873,0.9032887395683462,0.874953234363429,0.94968315025541,1.0859863096346316,1.0740928931682292,0.8804802922108771,0.7920043530429121,0.7469322433868035,0.8640848528787095,0.9961694927338571,1.0490243919456361,1.0757041254029247,0.9055703032720118,0.8387979697284715,0.7767391563762418,0.7484685539535332,0.8827284908490189,0.8444771192649653,0.7402006586061411,0.854914379480444,0.7523389109288314,0.689750020299875,0.6706022251943432,0.7587579606552282,0.5504326195798563,0.6388932266481031,0.5710028475555866,1.1318600594758585,1.1221438770658814,1.549370329633302],[0.26067699129587296,0.2852289530362066,0.4888596400451835,0.3281566582237362,0.5681448542646277,0.4287135395835743,0.3956419261587801,0.4634532002106374,0.41809804073619156,0.4251475445443024,0.4117523750253754,0.5351713954067262,0.45121931714336694,0.42236487333336353,0.46671155103621165,0.49156371114054587,0.5225247899870111,0.5216532360226239,0.5183553577449357,0.48993986153051317,0.5147076826839195,0.6210848058103443,0.7169588743719044,0.8370464825900403,1.0495673316902072,0.5992424548506476,0.4893581553991202,0.4509768034023097,0.5024522323917393,0.46462758651919717,0.5050286991911417,0.543857725984581,0.5598237595865473,0.5641862680312028,0.5370964076602865,0.47646656256731823,0.544129875824334,0.5068326508369936,0.4689688914936914,0.5524453970556312,0.6302043789769033,0.6362056648101581,0.6702451480571484,0.8534299699957987,1.009569535111254,1.4724649005204267,1.2818830200111795,0.7309478365451179,1.039323515277901,1.5155140672049834,0.7735643518739711,1.7793568944831812,0.7128970144686753,0.8891511798846353,2.1689333458837514,1.445708856479603,1.5198641662737356,0.8383594641411894,0.9823868473113914,1.9370099237709775,0.7168541087037485,0.812050168433727,0.74546212516093,0.6240176886090955,0.6640906224322103,0.6048221699511875,0.6219459443476142,0.5647662352332954,0.6842031684938572,0.622627364868087,0.842124521340704,0.9838808126540388,0.7607387273180543,0.7609735858944345,0.589591490840332,0.919241464270453,0.5650471614724922,0.5273271223634506,0.5032128856157251,0.5207100078119679,0.5544037578148961,0.7328623887905047,0.9713485378105691,0.5940343669206349,0.5355679913603517,0.5502414602856746,0.5652453805623067,0.6588277473769643,0.48622271084110125,0.629736923685264,0.5012351904633398,0.5839886664537827,0.5598120300262536,0.5283903144478298,0.5160079897115317,0.5489405705069367,0.5748396518697924,0.5297254804461256,0.5496217209047309,0.6932947014310129,0.5546862191372177,0.6395908697322191,0.6035072857404824,0.677309681516915,0.6532124812070479,0.6578571046501961,0.8823143328365591,0.6468031613251272,0.6462430597770693,0.807976781740001,0.6388218323049624,0.5525976390847975,0.44543439389646905,0.48013673839736254,0.4192820485679701,0.4391346031825658,0.5545735473699606,0.4689123899371502,0.503285265692222,0.511877184569761,0.4814352807033877,0.464857519996211,0.4546582548134429,0.40316478361056535,0.4140918505586083,0.4883927717269877,0.5061081787377303,0.5138852530735829,0.5286595745505134,0.5412786695439998,0.5659228694673438,0.6637706023885899,0.5500292177773951,0.5912892969377757,0.4683721024905817,0.5454853913888713,0.6095738730971022,0.4787961918430651,0.4683485846858964,0.4518545913400152,0.5878639654820872,0.6327206761999895,0.5130851469202683,0.4174857508233156,0.4260030206907368,0.42757740488284407,0.433146573398233,0.4452932535657869,0.4467491012859444,0.4857925243552466,0.5504329954835392,0.5243888760059251,0.6568475973013439,1.1529355469489884,0.8181581555592927,0.5743123505679475,0.5273613795660403,0.5763502026117101,0.5017032603284665,0.5588218657749333,0.4691594933457521,0.4830934490578934,0.4738417699547942,0.4627137519840853,0.4539386854587499,0.605220945935742,0.551504272276747,0.6986532297177435,0.7426750318015516,0.7278796628557558,0.5454241509338984,0.44790256264106576,0.4479617524259588,0.5176702611539894,0.5103690365835585,0.5223443188013808,0.5388695713692175,0.6801925979957975,0.5395325037054899,0.5978199706289801,0.5203934588371066,0.5518767332901583,0.5564432186547679,0.6091530038486159,0.6359439791118963,0.7923725316811906,0.8911775701116599,0.8573181561492197,0.9449821177594527,1.1838589566760944,1.1190474223867457,0.8085701315582303,0.7248020122085239,0.654262844201918,0.629671697667317,0.6651637001121283,0.6425959155252202,0.6314041147144049,0.6410296987815448,0.7277345559663742,0.6375966083748967,0.6510482788643316,0.6703794893309556,0.6106935383779049,0.5866474268012629,0.6261170815713007,0.679065577712422,0.5625339873573247,0.5889346318537676,0.5721272552889277,0.5746273558851798,0.5799034329735698,0.6364371997476758,0.6219349048670517,0.6442673753933704,0.6818982170008246,0.6931571251693021,0.6797672929960726,0.5840821086495522,0.5818214309992361,0.6815157863259547,1.706714032854284,1.0224477084717987,1.444101896612669,0.6695722802163173,0.6872368324272429,0.7897562886419346,0.7647242986872398,0.7461447516675836,0.626432177613984,0.8467034577903534,0.7156759833554,0.859061550055544,0.7278062707403006,0.8939348176324122,0.9224644118659038,0.793779687337378,0.9775202947941558,0.7226287383668608,0.6859914003305898,0.6981030967762011,0.734551673198201,0.8287660727357103,0.9769311928368168,0.8511634110269821,0.8262531246558164,0.7557120140811313,0.8505365018289595,0.8779769088650972,0.6865321610962146,0.7616466513924729,0.8655853851047506,0.6937928478417307,0.6873969969509807,0.819610657347646,0.9799031558353438,0.6805326117272911,0.6912617870340279,0.6473006329410729,0.6365293251491894,0.6096055203994978,0.6102790867302389,0.6188397250263795,0.5891369847316867,0.6088598930688053,0.5720681414856842,0.5899666464979502,0.5779612538823543,0.5923966495470249,0.7444824748218309,0.6295821096646999,0.6987703886349507,0.6998950545767657,0.9031868907953765,0.7633799836907736,0.7579829135349365,0.8050519422994497,0.9812384812020573,0.9678055848664192,0.7624878095613216,0.6826485303279849,0.6100345806118261,0.8373264021647292,0.8730726149216518,0.8987583449240641,0.9807491978906527,0.778660869051615,0.7190744679490553,0.6340810039245366,0.5980875533067164,0.812947054683816,0.7592502091192078,0.6552979569620878,0.9880709558200768,0.6978048866510206,0.6254770256939884,0.6136440427562281,0.6959992584965717,0.4825433353424633,0.5657316379214989,0.5197814567842407,1.1356126168812735,1.1064707655191022,1.471732793755056],[0.3440865630457557,0.18695056805432334,0.3623920719491314,0.2693476187258077,0.39870458307912554,0.4758412728138215,0.5432792204292843,0.5977235848380398,0.5946563480865752,0.6248621374422568,0.6200120527724308,0.6982808913120292,0.641450457316518,0.6211030485254734,0.6684609690489964,0.6797817819938425,0.7159537270578101,0.7252343087505603,0.7227858199805527,0.6683797198312669,0.6934542688794959,0.7737406739479227,0.7569442544706492,0.8482832972929824,0.9715021766013109,0.6798768756399517,0.6337786800892127,0.6230175069554633,0.6944089413481715,0.6511272807356163,0.7215384266531604,0.7145141390215575,0.7238123237802018,0.7355246358366428,0.7251968597634378,0.6576457576222529,0.701220431471461,0.6606854226902631,0.6203516427997504,0.6194238234212217,0.698426852883213,0.7882616922116764,0.8132195706201362,0.9437381001117282,1.0328912198139224,1.3902203958734936,1.1580826960837987,0.7914728308646694,1.0626595793214793,1.473837178846025,0.7315588727216994,1.7890274296162534,0.7241069866869299,0.8642643655577128,2.2047652589135054,1.5538140167073922,1.671940406923567,0.9130433399189997,1.0761943974993866,2.025599684936721,0.8229020975722164,0.933815527192498,0.7938836942488712,0.7045652608544134,0.7992097060496328,0.7208680933826821,0.775500424499361,0.7645467812999462,0.8408352178095312,0.8102446595035623,0.9892085722447833,1.0937128194582781,0.9350628586751784,0.906093301801093,0.732580518141113,0.9287346991406359,0.7270646122257274,0.7041682422354485,0.6642436295739027,0.6835512381113438,0.7173133727472305,0.8414097215078806,1.048422476858866,0.6521324791910831,0.6087538064393717,0.668619287623788,0.7192107926400417,0.7846277326870932,0.6497609535228535,0.779128651529841,0.7092678087935209,0.7378491474228412,0.7415113596201351,0.7044585699883045,0.7011675692413961,0.7189241834261395,0.7476850214702085,0.6942383703303427,0.7123756014546052,0.8086330846263045,0.7014804683327297,0.7116329639687526,0.7147973122885452,0.7234019450869621,0.6668242520917165,0.6609344903278865,0.8704479394142063,0.5206693759255114,0.5082372944660991,0.7303657669222128,0.5509985594128876,0.569660080209928,0.5589184445006284,0.6062355106981238,0.6129894087881949,0.614463975691751,0.7054099871516247,0.6474926131655466,0.6757481090236467,0.6760664310308732,0.6567928777006399,0.6394980249128831,0.6119344614305756,0.5954078548852937,0.6079593699901277,0.5999906650607579,0.5328022652927991,0.5025733300679064,0.45499853480829694,0.49788275413333033,0.4250462154602678,0.5258623162713923,0.44943164084420745,0.5626597154556543,0.43409141446735233,0.5160349083924781,0.6407499939206346,0.5537283897502152,0.5824500293415765,0.5896580664677287,0.6961675331524182,0.6864496324830562,0.6738789127690029,0.5852703936608865,0.5753471574554783,0.5838920193024997,0.5891566843464797,0.6139285110561234,0.5685887180944046,0.6224127812638811,0.6294833958571213,0.6394328590911844,0.7070522778460596,1.2094359120116849,0.9029798220761277,0.6837530033032745,0.6635769230355865,0.6820885303058011,0.6388972166549306,0.6351618414223192,0.5462888511577172,0.6008537592201968,0.586634950716432,0.569960020826071,0.5043871115750213,0.6089243246221738,0.5317683457336587,0.6366088872097816,0.6982339952437301,0.7010612910020474,0.5304101131546707,0.5004798464651602,0.48661048514117083,0.5777088579754115,0.5877040672655647,0.6005774007350123,0.6270138905709051,0.7695032057677786,0.6058394426819057,0.6528758514277074,0.5746882467148857,0.5892064884087072,0.5502937228499942,0.5799434599277918,0.6262142018747927,0.8099005438276345,0.9022972430714948,0.780320207337355,0.8991399501258085,1.074498766037389,1.0482692792304034,0.866568895332769,0.6679963911340497,0.6032156196505607,0.48659866723240025,0.48129883979359345,0.522746849027365,0.41512739505331225,0.3939463666531428,0.5084078895163504,0.3810178507715991,0.4114121927614045,0.4266238554714861,0.3857255659012494,0.3693527234359369,0.3898989550417964,0.6029950695571712,0.46969280311591627,0.4548864441279526,0.46272125622088095,0.5876768784673227,0.5767286946889439,0.5900128815313725,0.8072559978619605,0.7688973747972778,0.805834541838804,0.7280910877631382,0.7675713976463316,0.6367554659891755,0.5969269325100708,0.6167279576561718,1.8654755456581376,0.917652792459046,1.477750817265965,0.5793960982814318,0.6122371004650928,0.6832859556705615,0.652449152283832,0.5883752201764327,0.42802205820096373,0.7081752000513417,0.5666315082857571,0.7339337644386539,0.5576950182406006,0.8484914243574859,0.6894276039572048,0.6487707927540425,0.851865649319191,0.5166257489359029,0.48177838343857377,0.4778190768316636,0.5773571711835616,0.7005319431015732,0.8525927010221434,0.750692624051372,0.6781484224711871,0.5897266501965778,0.7367653756980614,0.7396167958325123,0.5109362694513281,0.6244998777480423,0.7425994467843152,0.5306871736309013,0.5585280680157337,0.7147274034977258,0.8613450724777525,0.6371010696420991,0.6480247459744943,0.5972968150703496,0.5434500520761335,0.45251678833109066,0.4620660944226581,0.5620403775952393,0.49226782922182577,0.4499945482774107,0.4978648941352048,0.5689028510354235,0.4498052150916736,0.4659740177008073,0.7044465812750443,0.5861180375057153,0.5556652281155757,0.6558993290064511,0.7966466018628314,0.7334356399332124,0.7078179019612365,0.736421552125296,0.8865474410267007,0.9431730333977901,0.7546275812101904,0.6921286171485241,0.5766955401315667,0.7781696375392668,0.7222784583945456,0.7399695262806963,0.8197042948091031,0.6183510698221535,0.5167877752111064,0.40102158460292975,0.44372678556370865,0.5649954631318493,0.5630732621798664,0.4483351489755188,0.9938912931698299,0.5655730967000075,0.40802911665883485,0.46791966145778846,0.6731521541822215,0.3738458854303782,0.5248112997751447,0.5923325793839108,1.1500267019540154,1.0863765971822363,1.420591967528554],[0.6389171152226263,0.41614521192872006,0.4849644881777291,0.24263346241903677,0.43049397558237523,0.46927753388935717,0.4849001185495323,0.6039889041396589,0.5682524337202975,0.5535805903544047,0.5626658366976148,0.6667218797160982,0.5740759313226272,0.5283848093260191,0.5853621107228993,0.611685357138456,0.6255693655206741,0.6359821533660652,0.6162431062965356,0.5939109280656257,0.6166494880910594,0.6812118541426533,0.6873431864109529,0.7779887503774806,0.9194507758350174,0.6138128168481829,0.5471316224610117,0.5374936714487341,0.6166548465838285,0.6054595906743716,0.652161355778958,0.6857152764899569,0.7023500079067645,0.7050136361917803,0.6896566972048354,0.607130679492988,0.6807200749163943,0.6131795764366519,0.5643103148773025,0.5670796168708979,0.6374921848134815,0.7294252511160053,0.7588974884210729,0.880870846111178,0.9815386458318949,1.3377082793578177,1.101326643289342,0.7773320703224924,1.0557871378708457,1.3964084283238791,0.6770652576471572,1.8374763375512757,0.6900919045865881,0.777975197233646,2.097102927388263,1.4732947927302587,1.6274848902673247,0.8616067603498947,1.0061490426502808,1.9349890026084022,0.7811733245112219,0.9331955234596406,0.8232940051096196,0.6405387400157064,0.715520639075718,0.658623110613044,0.7357056772304381,0.7149110338634602,0.7582113378558883,0.7287194178370003,0.8990719906503898,1.0249798232460952,0.8665001529294641,0.8507045540042907,0.6610891670570415,0.9448281258788473,0.6874063668625839,0.6769115995131945,0.6384922528223744,0.6429215612006233,0.6928132189110929,0.8301372949375838,1.0700289672051402,0.6489962333096089,0.6038291790480885,0.6454899340891477,0.6767819355272564,0.7884703382163313,0.6018040731965479,0.7378171415295424,0.6658969255214157,0.6716655454757432,0.6717271128344573,0.6436624848928734,0.6300968433011354,0.6468652384217212,0.6742206636594665,0.6684967135715983,0.7105522415113856,0.877617049329385,0.7178213548613207,0.7776523374534473,0.7447179934162559,0.7612851371276271,0.7021562174198039,0.6992019400507472,0.9389132809782945,0.5932009211337794,0.5751918790534822,0.7945230836821091,0.5874517157277575,0.5630650822009743,0.5339805648175617,0.5520780064918596,0.5304073137757338,0.5175556922133409,0.6040590526840636,0.5269532339487302,0.5844072511105602,0.5715985949550114,0.5389514233220591,0.5070162204529154,0.47554081702314843,0.47922583105671374,0.5099038940009806,0.5361330290830355,0.5223913898455793,0.49235664929435463,0.4753827033613008,0.5313870257268047,0.45929171232881655,0.5829578536204474,0.4791192745367329,0.5960395781133537,0.43766880285185056,0.48426591308388445,0.6245767744213298,0.48505954558550296,0.4661716500819111,0.49195211174495973,0.5859775361045663,0.5944574802093431,0.5859745131842076,0.49342269725120413,0.4967162158124134,0.508946852694181,0.5071940987655704,0.5581190031986598,0.5410426057283001,0.5937412883128382,0.6509588037298162,0.6549129769812446,0.7625437121368306,1.2642809909918995,0.959295128662215,0.732922790743126,0.6793411364896662,0.7137715616840089,0.6340723166278271,0.6469448764607084,0.5273196593875763,0.5516027970459603,0.529467626386832,0.527496700278525,0.46850333605985933,0.5792494719831037,0.5168637800335509,0.6226496071203865,0.685050063472037,0.679283409141714,0.5145258086838579,0.45513154752622254,0.4522031770650471,0.5557279720748384,0.5667701392578073,0.6148033966277621,0.6321314721222207,0.7957590317249855,0.6059971421902206,0.6693192385996424,0.5709478550190941,0.6073246070547774,0.5730871059166893,0.5977374346466816,0.6188304108653715,0.8102495838811792,0.8676964714115485,0.7577734333576737,0.9162606551134114,1.057015315546595,1.0692981348855712,0.8824745776538057,0.6679572966287763,0.601104395042554,0.5105423864230972,0.5057338328525912,0.539038133909857,0.4575515413493496,0.4364499655057289,0.5600308903236897,0.4584812041844617,0.5274635851137986,0.5069344864665306,0.4169606535588256,0.44565419659745137,0.47003792432041996,0.5852279958841938,0.4427241664810125,0.5054303606300793,0.4390570006600071,0.5136833142977449,0.5400782992895746,0.5807274019269858,0.7204048162571683,0.7022096863156324,0.7118556676742044,0.7189534723246509,0.725216216873278,0.5743063542722991,0.5731420484680597,0.6223834537097271,1.9117547005165352,1.0163491072443744,1.5992314476575384,0.6404000117286163,0.6705725889701958,0.7632532685956636,0.7154899696048183,0.6153188797036983,0.48695163083681026,0.7695612286984107,0.6013596779386882,0.7732172394001692,0.6144089135293302,0.8805072940852376,0.7077717142916532,0.6460012190917468,0.8373558658402461,0.5293199492244269,0.5562095372212403,0.5754661892794458,0.7012773663306882,0.830859947571643,0.953192759462238,0.8759239657196047,0.7953527538413506,0.7365999596272348,0.8875938691214462,0.8804494713560443,0.6283768481589241,0.7840771664350308,0.8990964933115106,0.6462014235234445,0.6691399931498935,0.865073719544977,0.9345017606407116,0.6937448951623177,0.7171982804383524,0.6335442760562024,0.6004020141375986,0.5557991557418608,0.5394904198641496,0.5507721281055845,0.4977140027135384,0.5133142236692463,0.48728787813877333,0.5227561173541828,0.44247253861387825,0.4768095364175016,0.6576458229731617,0.5386721022477703,0.5450704547312463,0.6155852202507994,0.8271655016294591,0.7096389035566432,0.7116151579435557,0.7502012113348204,0.8906695387476472,0.9960629327296419,0.743982918320497,0.6280999277668423,0.5263058214949251,0.7904109388577834,0.7431278731372369,0.7683910600785833,0.8228697737012173,0.6140967345106172,0.5377667099163156,0.43911179110918785,0.48461268718780515,0.6238037282841439,0.6280992186560527,0.5363980416587378,1.1187284347746032,0.6125358531000581,0.49480104373872985,0.5854183266448172,0.7170625756693145,0.3750741248330158,0.4982880071417063,0.5227405586075524,1.226396178349919,1.3717519773234264,1.587399806082426],[0.4630303475206712,0.31903725746312406,0.5491079932510372,0.3364197567774519,0.5158421098763741,0.7659667410269114,0.9644059926703038,1.2888230962367648,1.2697713004076168,1.2266672664605065,1.297481019221644,1.4423196336440203,1.3220760449984181,1.2146891780835682,1.340617612799399,1.3826810718389377,1.3217369810923068,1.3492952850675703,1.2630484778166418,1.2653576846979135,1.2686681335457504,1.2972555588785397,1.1524638544259802,1.1177110885790185,1.0975279781584903,1.1015349259430207,1.1216944817123455,1.1440622294641074,1.3166677328347942,1.3581186063686275,1.4475053839635765,1.4839172381252914,1.5187348535945362,1.5073846121637464,1.4891930398803164,1.378446071509961,1.4265074614760267,1.281215618102699,1.1975779460403,1.1401198336530844,1.0737096025621036,1.3251930412662596,1.363022015988519,1.3805736630741283,1.3324383410241392,1.2798445128969427,1.0942882489509729,1.218317682891803,1.0330352055916137,1.250639307395412,0.8041934232649594,1.5707380980704873,1.0227708490995986,1.106290777554662,2.570893999538145,2.1231145827087996,2.2828245051235325,1.5360437384099048,1.639514876658687,2.483082790285627,1.3124677816740706,1.4774377035250312,1.3274167621513173,1.2117331882865043,1.3583655438656708,1.322199387133464,1.3920560697894906,1.4413754969427244,1.3536176032770253,1.394300857798053,1.4523720221057506,1.5427205886661262,1.4957197827783026,1.4600419260941382,1.3631933969626349,1.4360384376603055,1.4351181960471362,1.4732108988558665,1.4124357933937295,1.378259538618015,1.4303760784751274,1.4917336184239811,1.5500184579024818,1.260490158876412,1.1634470332885207,1.3095443022729747,1.378383290538632,1.4891686173576073,1.3621463230426478,1.5100984899940735,1.4710004452509307,1.415719002324262,1.471260471667116,1.4745360678940564,1.441645857092754,1.4363683751915282,1.4419209364305252,1.485319978601562,1.5256275658426575,1.6666103671438413,1.5455569108358866,1.5109923286934575,1.4941268009506543,1.4133716951990576,1.2495867801825697,1.1881633018871738,1.3352971604400912,0.8863392593976777,0.8092475880745145,1.1185940765024334,0.9457279306942544,1.0434080168312372,1.0910774662105747,1.0416211580709143,1.1316426756535631,1.0252945976191457,1.1176428388290114,0.9993396996942795,1.098100459798872,1.169494598331066,1.086037799083919,1.0781409704851967,0.9329689951941054,0.9496398300255472,0.9716040548013323,0.8960080323346242,0.8626197456164134,0.8036876213548649,0.7358332145737276,0.8798413992979635,0.6571619709233729,0.8080267579638594,0.7286610367393083,0.9326977154266058,0.7276971608291736,0.7158245007671026,0.7992700355851659,0.7889233996782199,0.7685782621322412,0.893757710853588,0.9258890327185781,0.9597119468247732,1.0353786766594548,0.9687298022958485,1.014074385744867,1.1131759612612062,1.086580534423676,1.1917274615787503,1.1677003119114158,1.2555714618390046,1.2900583546651214,1.4528934628690038,1.4268484068375107,1.8747481337526966,1.6998394134641104,1.543170131992047,1.471381087278012,1.448856654139462,1.3825677561157854,1.237548660118736,1.0787617989702327,1.187549181347717,1.0265872437660646,1.0632653472925793,0.8756263658384118,0.7540558639042533,0.8024496851537152,0.7737553899479022,0.7864918568036271,0.8298230883841672,0.7489403307321825,0.7880963880657363,0.8507237542635449,1.0485364138480224,1.1525769685596452,1.2364513697228308,1.3125689563799738,1.3992547415739667,1.2368108284527684,1.2390472842052538,1.0875092905513573,1.1166482952459993,1.0154900771901636,0.9948830308187007,1.0177419238330603,1.2604515175802333,1.3000118415494082,1.1773990622303279,1.1778282003593963,1.2445743127680562,1.278603868492653,1.1394283113864558,0.781984226840469,0.7144446223262209,0.6474578890784415,0.6196566312319066,0.6484226735146333,0.543413974049466,0.4307593828855355,0.5972235415471507,0.4744064649631028,0.5843190917662944,0.5417228867962238,0.42332083675790666,0.45988549084271363,0.44344599850764416,0.6544628361784841,0.6197500119747221,0.5752840746335405,0.6180835977386607,0.8968152049548576,0.9364314435954559,0.8903969325673088,1.3609689265294633,1.3214126514782325,1.213066496512391,1.219112430790377,1.180385736661204,0.9645830357123142,0.9560315607331726,0.8857666748915889,2.1555663042665216,1.0807126301651362,1.7309261251559998,0.7433259864233438,0.7744242713874232,0.8058481906962965,0.7813578327611118,0.6878454980652041,0.5401465783342483,0.8039023269896518,0.6154872613903786,0.7727559528201141,0.6399588469112634,0.9837242386193479,0.6749559717325602,0.7175237098684912,0.803877506063705,0.5312579084728383,0.6422769362179218,0.6379470215316023,0.752881903728837,0.9123981782041602,1.0566656295642782,1.0297386211300577,0.8834171318396172,0.7833135901965917,1.0077895056140778,1.0201513072631374,0.6499862505710473,0.8281348929692824,0.9451488821725013,0.6189060166401832,0.6990764581640339,0.9018562586568155,0.9168852013013697,0.866793475065754,0.8922071143024504,0.8198944453838123,0.6957225924778763,0.5960976096962557,0.6109133900605309,0.7288304352754348,0.6355802008187964,0.5599975242003528,0.6743400109127993,0.7645381640586595,0.5761062225223793,0.6233289919872902,0.8838632283397914,0.7651898315560561,0.632608024366714,0.8489645858450982,0.940419237000596,0.9208772183892864,0.9040123078540986,1.0214627030793144,1.0003772566546882,1.2789585429732726,1.0337320977833855,0.912286523535876,0.7846308107082647,0.9656514441954598,0.84288399346488,0.8465555708427558,0.8284654857066011,0.6614673251661919,0.5251270597491209,0.4698155518356881,0.6210545254868046,0.6337277172403982,0.7864493154629348,0.6517229623140604,1.3418234233648412,0.8600604259970069,0.4963227172803122,0.7863149679898392,1.1168332869797057,0.452723549066494,0.4045170448493121,0.46612663596789033,0.5708977551735431,0.9879546310663591,1.3131698180610971],[1.23139716400113,1.0604817525798902,1.2979955501727511,0.5966411724589222,0.8260981326951355,0.7445995457672783,0.7389058737782579,0.961831924820131,0.7292500348378864,0.673675086356147,0.6835809941817306,0.885481950556821,0.7969936818738214,0.6129882411480017,0.770383864308329,0.8378765904078753,0.7997734207743972,0.805318107133078,0.7259726932337364,0.7941151841439577,0.7942597522194336,0.8480813411273875,0.8031235075479286,0.857469404976004,0.9269386832788222,0.7315179052351675,0.7300055952741524,0.7303838628384203,0.8479799821210094,0.9072174260622314,0.9090694516670554,1.0077708001414947,1.0255790524484258,1.008148763137237,1.0246649482776802,0.9014816246698378,1.0321276995332316,0.9024486295768959,0.875458914112745,0.8959439069643935,0.8158410420326211,0.9361845426983829,0.9922930772702305,1.0722573377275892,1.0642882379222924,1.2789881038743045,1.0438562755443082,1.0019487411111447,1.1116403534446904,1.3584096371898653,0.8216103070951727,1.7867780642804492,0.9243297437944916,0.9321026552288451,2.3092555713784093,1.792465370958366,1.9406332328974745,1.2091147879475448,1.30360452000451,2.09893450801436,0.9869069456869325,1.1982177908317369,1.0896103569599078,0.8723373219828082,0.8819466105080631,0.8878747465703398,0.9346497060439019,0.9080718054322586,0.8740514698348578,0.8430184618506267,0.9993413009620198,1.1407203128037986,1.0006711856869777,0.9569867980268238,0.8453035780811757,1.1310169367755891,0.920315620590338,0.9591738471805501,0.9480965636652456,0.9943828388205499,1.0769322958198884,1.19149341110998,1.3721955072671193,1.1000143364446135,0.9897353917239197,1.0104843783273512,1.0122747047871445,1.1505516725528806,0.9088336168060265,1.0670616744860708,0.9348541852446522,0.8871426634302776,0.9106528013071187,0.9111069852179767,0.8725995156140947,0.8873437590450404,0.8780789827343541,0.9643582177855987,1.026165983157707,1.2884994931871454,1.1527885740848793,1.261014070801422,1.2330414243278647,1.275514921632348,1.2529201306257032,1.2386294945440133,1.5398077384476538,1.2261880214514498,1.1936553566029202,1.330186751149676,1.1143755693238286,1.016782694535782,0.8846006098370307,0.826656247991623,0.7324527580034822,0.690085832220223,0.7265212873646641,0.6321343306145427,0.6415609105970373,0.6927543523038933,0.5969120484911962,0.5797813483913713,0.5352697490362988,0.5964820107265384,0.6548541892909114,0.7845962403190648,0.8895367020066908,0.9009088659603167,0.9815752486894037,1.0824325970295268,1.0226777661714335,1.205545207790658,1.0538234657210448,1.1728138890912383,0.9240813334873261,0.8182768352891209,0.9754999670907107,0.848255519082799,0.7346899247844957,0.7589391729812217,0.7657793106403539,0.7548376679197424,0.7347449872189592,0.7086963726829828,0.7448623641612012,0.7757674936874247,0.7678351180986432,0.8483195017187147,0.9057529297391975,0.9253988205167482,1.0873525225759946,1.0874879029629065,1.2209911924970935,1.5622699060665688,1.3075050540822717,1.1913901983954143,1.068588753194546,1.1769431462917137,1.0331966839426412,1.0887985468820567,0.9442009042633076,0.9182981168448093,0.8545444397157256,0.8889740405914016,0.8397305182598522,0.7702813372360655,0.9071336433087197,0.8895710377260857,0.9247145255592761,0.9168112943873978,0.875285479710962,0.8201706149238888,0.8592860511938196,0.9968975928058624,1.014323715203519,1.0941358010025133,1.0488801969500336,1.2211774858379627,1.0607107509014264,1.1481253083830285,1.059108485254545,1.1449383726192857,1.1603410186539755,1.1633274624192669,1.1191333781409227,1.227585212116024,1.153089780197562,1.133192973965259,1.0970181569767234,1.2434104860653337,1.3347238252045552,1.2088516904485183,0.9819788641385078,0.9656129455720586,0.9946482270071156,1.0576938570174172,0.9990044534920091,1.0565040296960964,1.0268549866254864,1.1485196861749987,1.15394575063069,1.2410094866776422,1.1469633015356322,1.0705646767827,1.1474441381593885,1.154439009425133,1.0427801881465897,1.0290035299472948,1.1518105936348793,1.0330262834020452,0.9851485318224892,1.0120483973923065,1.0489735130854778,1.0556455142139847,1.014041536276189,1.0098764077547908,0.9910487207750305,1.0252155546766393,0.9924705760372531,1.0004488015664743,1.1038232959002994,2.3951504988122894,1.5441621724012187,2.0078228244919094,1.248713585646531,1.320797559734563,1.3673131090094395,1.3333479088712554,1.2462819621036243,1.1973136055471345,1.3632028699831387,1.2289010222812211,1.342676680857877,1.2320482673642965,1.4199209530337487,1.2106428148967463,1.1177750739237104,1.1702404354268077,1.07732327923363,1.1947613371781267,1.2590169573367946,1.3719305781956823,1.4658180712726692,1.631217732324594,1.5084823520223591,1.430090331612763,1.4367472025414731,1.5631062164017993,1.5496991013868,1.338774076372456,1.4605415121615506,1.5296385882082744,1.2935583929463443,1.3149410277965448,1.4264294287634924,1.3791097514013122,1.1815941778071601,1.2100627185971495,1.169558631301644,1.226630314558495,1.2897559935020404,1.2521888605463412,1.137088883872385,1.1157972883655636,1.2046426992327441,1.0928578054747755,1.057284706907932,1.0682045892901655,1.1077290780015527,1.064737436885099,1.0144370364079422,1.0608418320223745,1.0795062879906743,1.1932091632244604,1.0476501192260386,1.0760487566503552,1.0756898946632125,1.152138949204894,1.2854531409533103,1.0790132262391556,0.9840649229956402,1.0105984470523766,1.196121713089402,1.1230819261001241,1.0978329602159156,1.1311618687995042,1.0703657223389225,1.0330946102430516,1.0110692948613402,0.9991018345161494,1.19034106751442,1.240874561780748,1.2633519019999793,1.570564634998078,1.1833346828329758,1.2171851592789484,1.3761070315757975,1.1181727415689973,0.9008364437341343,1.3881012700683195,1.153413119956039,0.903339731461924,1.879009310669386,2.2274084344879737],[1.0645586944232277,0.649477065595751,0.7153603968485744,0.30000163172227,0.42074448828282485,0.4585609193924714,0.44608184150773067,0.5734892566428201,0.5201375548542365,0.4964666169921173,0.5605064884806371,0.726299287473321,0.583561977762885,0.5226638769395595,0.7009071642505652,0.6860739089053753,0.6204183821305976,0.6481651651907862,0.59814042853704,0.6083770681210008,0.6136387412180044,0.6291758878848899,0.7556853767403904,0.8048592378036505,1.0104403183882513,0.6680409412591553,0.5229771594054408,0.5426314852727202,0.6209955452579724,0.6678806431290225,0.7425952408134974,0.7891476558076558,0.8152005807738785,0.8356987414982241,0.7787629171215793,0.6734160910787894,0.7317620392372811,0.6040859941038166,0.5524869064472374,0.6061558826636743,0.6454440461981428,0.5857960986394926,0.6027946790593192,0.6707317410483703,0.8290749907693507,1.4087147694705844,1.1167181799654335,0.6703034890910454,1.4136516899570883,1.6859198141741383,0.9945718539534188,2.404301888132937,1.0404235123375591,0.8595347734948693,1.7247033492430763,1.1025874004808722,1.2571044008226067,0.8475801187873151,0.9545755523331675,1.455071705096031,0.8900023727528533,1.155233992718165,1.1919248365719413,0.9913892435874628,0.6963507529686614,0.743567070459809,0.829601981742362,0.7251808832593295,0.8556046573468344,0.7785612630166368,0.9836760045460936,1.163716624214461,0.9544583049996159,0.918199398485333,0.8093772819453873,1.2171792307634697,0.763246735275428,0.7864940944110986,0.7412647788169792,0.756265925615712,0.7845108047138207,0.7698537007857422,1.1842498582520171,0.7588748427713431,0.6498648190212423,0.6508663484773594,0.6796050346887889,0.8360564939946442,0.6800919399351815,0.8712184439879009,0.7599502120563071,0.843979856556389,0.8071485775874481,0.8062486809010351,0.7666357175515269,0.8428267684839619,0.7980672727333662,0.8111926982484071,0.8195247083599405,0.9702033818095668,0.8288138246880717,0.8465233736069497,0.8058926186295948,0.7971150865524793,0.7447776889184184,0.7070563330785186,0.9964877007543845,0.5924961052586644,0.5804625579515326,0.7540724293379296,0.5258954447676986,0.5108009108597064,0.49427270664013334,0.4862537429716282,0.4997677213082292,0.47111724354348306,0.5733307829292276,0.443977044317301,0.5341388004441655,0.6210338833732684,0.5308447473772622,0.5060651532887023,0.4264597173830444,0.427073035762039,0.42167748889901496,0.44162395252733605,0.46911315159865113,0.4725214640264013,0.4668253477675362,0.5305547873886589,0.48114116001380014,0.5926292475277172,0.5003316861922221,0.655354507923428,0.5025480570736748,0.5817220308539145,0.696381236179552,0.45577287246928705,0.45647044382082946,0.43984130725441034,0.4770545268610564,0.5089941261380428,0.519786419296229,0.4919574885575352,0.4980036966544169,0.5375362099097849,0.49789847846728674,0.5668310749043233,0.5561812043910178,0.6026899243639756,0.6312030820967043,0.6944409446850144,0.8655498345466436,1.2468720934178348,1.0063442271607819,0.8292297039027867,0.7505496346859621,0.7228088981876449,0.6833174802335733,0.6882191623786512,0.5483654740248435,0.5978313391908175,0.5332673598509217,0.5384461207256723,0.5286099014484291,0.693688652024833,0.5518033255497545,0.6560005261181443,0.7257216521940555,0.7193228615314174,0.5503633846646547,0.4873897542629068,0.5314967918804083,0.5549733577019349,0.5960047613006084,0.6430805406614247,0.6583534706792354,0.9003289904101073,0.6466387967851435,0.7458270813879422,0.5782898256456418,0.6225949869859042,0.5888233438441516,0.6044246009808831,0.6191045189636896,0.8030530628097796,0.8205166172840411,0.8756398122122855,1.031947958897345,1.0754520074690566,1.0512125132649854,0.9109374358320287,0.6868496470256851,0.6575597009843007,0.5327804853087414,0.5635161870660829,0.638082841257837,0.5038540373978706,0.44852931285452485,0.5494926842816901,0.5386502721612819,0.6059131345086269,0.5219108635918608,0.49788247309530476,0.5718932088530494,0.5524648699785194,0.634449116780551,0.5522560865793869,0.6259249027696971,0.5384137880887537,0.6225444299833792,0.6522470877925923,0.644281763885849,0.830256498552343,0.8044585694277089,0.7711792999419217,0.7793220537977545,0.7857887752237109,0.6590569253068943,0.6846977254471162,0.7503275706563524,2.260881164321337,1.1900775092797984,1.7224339216706492,0.8120964392257279,0.8869030806852757,0.9181392581401263,0.8836695075992546,0.7735776091877156,0.6323536062661331,0.8786699056632497,0.6886035981526324,0.8296358456773502,0.6936247928180335,1.0303841377102534,0.7427854746876352,0.7164280286134019,0.8058675395688905,0.5624847536027695,0.6188731561306962,0.6611613790965867,0.8369899397716831,0.9447829564297362,1.137568064297193,1.0263000575572867,0.9076427523333587,0.8881734216887825,1.0599020798159777,0.9685314448322259,0.7523562970942577,0.9301042440364603,0.9890858156755077,0.7251687733685109,0.8220672920534421,1.0153196608034425,0.949332257461696,0.8008416722028314,0.8797453491651878,0.7943846898373851,0.777999001523607,0.7406532744136572,0.7438598164326331,0.7239246184435248,0.6488675575046768,0.6591310589730184,0.6372117285244645,0.6350673720286639,0.5625157933404422,0.6216397572092072,0.7061612762140037,0.6053298722069391,0.6141873351311037,0.7086779843309164,0.8858330286743633,0.7303318092414655,0.7559844453788661,0.8193071888845465,0.9371664865933125,1.0961393798282062,0.8347464842114992,0.6797006323871464,0.6496655943434452,0.9208296640301034,0.8185509679232137,0.8199322035273551,0.8136826780375634,0.6543067765128212,0.5503126174092975,0.4384467237087388,0.45621574115183855,0.5793106138549222,0.5834473337506527,0.5957028021398235,1.190251726111804,0.549241799298972,0.5313901515770386,0.6452394394196953,0.7617278610559206,0.4204812448850523,0.6520406166995488,0.672491665627153,1.5309474591034264,2.4757386233438545,2.6862978298991194],[0.8363500835381421,0.49084917544763146,0.5876141998137596,0.2884769682670871,0.43441342955350254,0.4618858769985593,0.4658708489763456,0.6537417905676641,0.5509819907446545,0.5233959180386154,0.5561461462705669,0.7090115333104203,0.5900758641552659,0.4969440684427734,0.6236827756041093,0.6435779646370959,0.6424659671005972,0.6493071214801803,0.5892500561275451,0.6109115156686079,0.6286379518614152,0.656599466644188,0.6931758523577997,0.7479445668871854,0.8738701696720876,0.6027057243125772,0.49941869386699367,0.5023852664847487,0.6302268786408521,0.6633845453661154,0.7018117685559795,0.7743423715005706,0.7970404934131857,0.8079863566354025,0.7705739845366554,0.6551585358840163,0.7418983490417838,0.6293210414710423,0.5819445403919269,0.589387682593081,0.6068689756738423,0.7045526892566953,0.7511965896084123,0.8221655582100271,0.9130510060973795,1.2654206985759626,1.0015588992037197,0.742380861424992,1.1137134131784243,1.3558789524442623,0.7089230359528892,1.964178733023909,0.7828635849951998,0.7248074567238411,2.003411250693988,1.4265914412820095,1.5966736245026831,0.9271349052452043,1.0201865910676422,1.8081812733836122,0.8159916488010558,1.0129255082052488,0.9563932549913593,0.7377877348518361,0.7235036734115284,0.6956439479630887,0.795862007814196,0.7603245830587375,0.8145373401846068,0.7495521799816626,0.9487494911634948,1.1084320127424758,0.9044952117905177,0.9196031300189331,0.7277396253939455,1.0514660676158016,0.7570384935653753,0.7573351241041049,0.7123163460716461,0.7358189853493204,0.7821810205493048,0.8896313955818294,1.1227064018942186,0.7276980464082982,0.6443970847495378,0.7027521535182158,0.7289943341690948,0.8446325358140727,0.6565350223349409,0.827583972083361,0.7538791331077435,0.7626123864453723,0.7513706843587626,0.7406836404578888,0.6992702059491545,0.7323172827999231,0.7204611503546101,0.7748579488660483,0.8249893940472234,1.0191958716391427,0.8619117710232397,0.9281142988841181,0.8548019329824492,0.9040763835647244,0.8249470370986364,0.7918090171969855,1.0531556570806135,0.6635356264022468,0.6356570715004614,0.8377933349457829,0.6201297842265245,0.570147065747795,0.5379651716194941,0.5282028394005523,0.5144040972753362,0.47871889576477106,0.5287535663321309,0.46642295320026206,0.5310597830827195,0.5316118563106651,0.47853770139545393,0.4352031730907828,0.41552093304587584,0.4323654461211003,0.4500623625915141,0.48723669327434177,0.508397870792983,0.4676608337610664,0.48939962788823027,0.5754103533777533,0.5108090066311652,0.6514042694563992,0.5227890561783283,0.6725732854361849,0.4586338654540596,0.45571141101058543,0.6796419641915085,0.45918004077526126,0.43519194574391046,0.45634182412064067,0.5200746654398923,0.5461674048807011,0.5508586677460446,0.4718422185919837,0.47209636098939756,0.5168864106161354,0.4965762747912622,0.5700968108441129,0.578439677428997,0.6402927800949425,0.7251253883073312,0.7596877242702436,0.8840990577049388,1.3484967998960486,1.086131902506232,0.8879262762826454,0.7898193425139453,0.831339102941299,0.716189618984734,0.7341270909422664,0.5738069232973028,0.6046498498784496,0.528083192494127,0.5431298947244793,0.491912006411702,0.6103603590000671,0.5328237792695063,0.6379495455027598,0.6969355749496571,0.6945062299119483,0.5422860587432242,0.4617326481819694,0.47266066642977517,0.5732122941015546,0.6265397541808966,0.6834609231883902,0.6816545795228663,0.8800208670687572,0.6789826557419107,0.7611690097993149,0.6141655583876146,0.6832121488104294,0.6415095677248718,0.6624511839026259,0.6618719671395952,0.8984046388145716,0.9209188048122356,0.8729363566534595,1.0086665075971382,1.115217417746938,1.121228182809964,0.9274856166870676,0.658720708787978,0.6131315385841895,0.5473244226384064,0.5668524935975102,0.6146640336522831,0.5216516583407074,0.4579125025058115,0.5950012705719189,0.5231208421509013,0.6174505884535874,0.5468191104705481,0.45498205106822676,0.5127039798612556,0.5234478609678652,0.5934120192033622,0.4648962316417121,0.5448894202466089,0.4510352880727012,0.5199144894494937,0.5392888404252109,0.5516994370727214,0.7466811103411827,0.7032395632892041,0.696670643377819,0.7020735800056144,0.7246692157537346,0.5749381398483058,0.5810150556318874,0.6363888151041681,2.107289274842727,1.0558729608013864,1.6408671841552247,0.693521845631925,0.7786387871939874,0.8524765642342595,0.8061094136031545,0.6808756172215904,0.5524295023510956,0.8204004501912883,0.6396297503324901,0.7881350677869025,0.646274682455572,0.9630906320765348,0.70216596079172,0.665840383473169,0.8105647883704882,0.5340971414595713,0.6200174278899294,0.675596725544939,0.8150407782761657,0.952293209060945,1.0942476921747926,1.0447490431665587,0.9175002149392699,0.8644629895563762,1.0510233482552673,1.001531820153248,0.7315215146723876,0.8964138165782102,0.9804543178038877,0.693841640299521,0.745258136678155,0.947118069750696,0.9118371669774163,0.7107897848404036,0.7704825291334981,0.6873500762134648,0.6740360667804447,0.6572520295839841,0.6446463044791613,0.6038111148059736,0.5433674519233739,0.5782419082728634,0.5223942578599935,0.5351235597527355,0.483005123391783,0.5221121898774546,0.6438019291937458,0.5321523171596233,0.5478490837678842,0.6284477827598683,0.8212035022322114,0.692930918061168,0.7075012037909133,0.7563281415182038,0.8780252257076657,1.0185164332038978,0.7569360703050559,0.6199212953997709,0.5470987532133313,0.8152223946495966,0.7489568640172354,0.7687428978867562,0.8101780780063511,0.6220146780460749,0.5625172733260791,0.4552166532990245,0.49090107384124554,0.6327990529684488,0.6711483508407476,0.6442406337110588,1.277571740763426,0.653290020089459,0.5698866729989491,0.7248691198650455,0.803316430677936,0.44754405269507047,0.6417469428301164,0.6491351159222767,1.287356852025198,1.857879180605428,2.1457065090196314],[1.1357782554698181,0.846809700075843,0.8945041571642522,0.48003438249207137,0.5710613050221458,0.5010669336890063,0.41237712542757093,0.5041207775782043,0.36356945650126216,0.3418860741933462,0.3576480434485085,0.4780282764780197,0.38076943026840115,0.3228971012775316,0.45719697101806883,0.43246831114956086,0.44724478807227586,0.45249637704595674,0.4245981805639118,0.422638987857578,0.47227240170456125,0.4979777511211155,0.5852528375282227,0.6965885375386376,0.871298673369123,0.5475505398775593,0.3743823294054102,0.3525144515674467,0.42540840489277415,0.44724495288254795,0.51144816457999,0.5367708174038337,0.5551500911840082,0.5742625058570666,0.5275691805717293,0.43155019825796814,0.5152601773546773,0.43761593040819885,0.4064680380836261,0.4181765662658368,0.5306364511008254,0.528394563564744,0.5645282623395352,0.6586473881154329,0.8310351794826432,1.3108165443573676,1.0709253654196256,0.6743146207507359,1.183318884894981,1.3981495057727156,0.7039289775241342,2.108880550896812,0.7929930211636098,0.6759828228510433,1.76791234009998,1.14436198444226,1.3448949767752643,0.7313790402966811,0.8297137043021671,1.5791063761229613,0.775405767803402,0.9731062766729255,1.012187886264038,0.7926688512152691,0.5477796618702692,0.561944638887965,0.6792330791187043,0.5700814279615972,0.7509219926931121,0.6138816588170564,0.8722722407107237,1.094380256282084,0.8037285504312267,0.835688026778601,0.6201663092392262,1.1102840158057614,0.5582157948594578,0.5356813266539618,0.4907693379751683,0.5493603203348898,0.5501354012008001,0.6795602896654899,1.0559514802884216,0.5725704042496936,0.5047494904512729,0.5013340232952566,0.5086271745034633,0.6518567043767047,0.44359520950043974,0.6054952414302659,0.5264856877632353,0.6254979402957201,0.5880720708520584,0.5404320203824431,0.5072185820986089,0.5845109859475855,0.5790164152709992,0.553654662997546,0.5857976234963325,0.8164403557321058,0.6188052125804188,0.7192793946652782,0.6330644685548055,0.7235843750959965,0.6938732856741847,0.6999898883989333,1.0159570671979434,0.6727303496771195,0.6848624095554388,0.8361773760478842,0.6240984297027379,0.49908531292765546,0.4317892410303731,0.4379505841884355,0.37311615558741623,0.37140484144746844,0.40969602255098175,0.38187927021001594,0.45242424877809545,0.44402603616178393,0.40621009433253347,0.3528422774878026,0.3431349108134496,0.34635034378408097,0.37308049300325646,0.456192107360567,0.5179810161325112,0.4948656877991841,0.5429242472936076,0.5731967895067724,0.5875219866213937,0.7138897679478969,0.5622479027325774,0.6737621429586598,0.4950434490031689,0.5097031431386062,0.695668737350956,0.4904118740709624,0.43738658899216615,0.4146171406007451,0.4774910738928699,0.501346590386709,0.4836083290051887,0.4031673070775434,0.380875558528422,0.37392363449426175,0.3620039072175542,0.4087772333116975,0.42732531235887994,0.47098933949090455,0.5714714716544615,0.5383435655045884,0.7530091158552581,1.2777400417384526,0.8988365851142416,0.6586883181917014,0.55352317527181,0.6100433383141667,0.5011505435421717,0.6075211207389127,0.45586457223324334,0.45080233219841914,0.4370818313266047,0.42494596678689134,0.4629175468940282,0.6020379011649166,0.5434590269508558,0.6613011007169216,0.7190139894198929,0.7120562809100587,0.564721793187869,0.46218802655981406,0.45196192591494194,0.4914737155790592,0.48545999196473794,0.5243143125007806,0.4946262474376535,0.7393201736781709,0.5051042545336556,0.6128294488861022,0.5040822813632535,0.587876816798902,0.5779876586400634,0.6093610279466924,0.6172007014056247,0.8016460963066953,0.7896437192430128,0.7511703419985295,0.9854359902782075,1.0317470146800438,1.0922758463077231,0.96806786147418,0.7005323001035292,0.6461658136278325,0.6092188963423318,0.6589335695485569,0.6874867781593738,0.6659615428029331,0.650423158505884,0.7491520398411556,0.7236590107671141,0.7661085977681524,0.7126944832126018,0.695586321278223,0.743302714919914,0.7428455742042381,0.7734527364234264,0.7158103766864606,0.7786359303306893,0.7192484588040604,0.7414067692963708,0.7691817909718994,0.7934965236212985,0.8313629656320997,0.8252668382350321,0.7978661601278799,0.8639994141015834,0.8230716055204109,0.7525907803184779,0.7870606099520562,0.8677130719560004,2.2327757058247744,1.2888738081530706,1.678459294466376,0.8721410979861736,0.9331070535547751,0.9856138668381743,0.9310879146733056,0.8817021233267666,0.7659906689901339,0.938673783004026,0.8261062462316653,0.9828319538330612,0.8234214080143069,1.0301933241843353,0.8960586381157005,0.837697919638259,0.9564999407162698,0.7423278197861551,0.7572176825111343,0.8061008342243393,0.9208278610273607,1.012225594953141,1.1776660392632112,1.0732299248247552,0.9712587089598438,0.9705120195268715,1.090409382421164,1.0436370290240409,0.8747386940066303,1.0210142433043607,1.0799640348814505,0.8675246533581807,0.9425994930383647,1.1229985889361498,1.088495721043579,0.917861588636635,0.9821684115507164,0.8943160100061288,0.886780433543082,0.8611815261821992,0.852573396387791,0.8335922566536816,0.7856369435291124,0.7996365516358962,0.7634694624326718,0.7609041364963849,0.7235811585381111,0.7625304750504661,0.8100501450996965,0.7413960322311044,0.782400282582618,0.809589240789046,1.0268637243911214,0.8328430523249112,0.8718959293521225,0.9209725544527901,1.0754453783251887,1.1548577471125057,0.9160606652817271,0.7894729666507522,0.7858286953173257,1.0170371362491353,0.9828571175635146,1.0023587977025858,0.9880512941107342,0.8124757624000538,0.7777766156277169,0.6413690644874316,0.6156528296421138,0.8184111300972524,0.7669390892632795,0.7736273994351603,1.349980964331592,0.7332707346759006,0.7639079371280039,0.8376050244094633,0.8270979272968357,0.6047629980987724,0.8816906275099998,0.7069848116243346,1.368207342574216,2.160645720685816,2.6107438102556824],[0.9294395992151476,0.581296603918469,0.5221559080868651,0.313348115223498,0.3984013899917267,0.36366480342790947,0.26293275372474567,0.345589327030857,0.3068132245808618,0.3153265268373079,0.35593558070801223,0.43461152609060094,0.34636234137976624,0.3273367791769753,0.4316557988255771,0.3993145300287217,0.4268572076088036,0.4451958905128995,0.43831428933860317,0.4170719066513984,0.484638431837476,0.5052608955425243,0.5811232087656266,0.7018600796226854,0.8687391682770627,0.5730046888443969,0.37550436203956017,0.3430419455501373,0.39104488062676485,0.402144087359988,0.4893093464871259,0.4732529553046883,0.5031084049691839,0.5254645317906651,0.4675673562886779,0.40061921301007003,0.4416431412748837,0.405256293334057,0.34666543446334813,0.35330801272244033,0.509129736830216,0.4876980300309392,0.5080660569962947,0.5943976472139686,0.8169244866391295,1.3266153427433547,1.100165384366833,0.6613936692406873,1.2447379956679023,1.408447097808669,0.6979727499888556,2.248599954003523,0.8667106329536655,0.7388844506666724,1.6347606956794996,0.9947813142656738,1.2137857137691326,0.6923686080735941,0.7905755028716499,1.4827042219887803,0.8049434783942712,0.9849526482137111,1.0711690089692563,0.8325125437294731,0.5437405554710645,0.561730307866927,0.6980481462650834,0.5804692573417252,0.7589074986018808,0.6192562504148313,0.8643098792989197,1.0876477774600795,0.8029951479822836,0.8668512436345771,0.6035182830915752,1.1258750871408132,0.5476855779269301,0.509902225153964,0.46133695493657184,0.5157650648757677,0.4748306848003564,0.590683188522877,1.0326519495185977,0.4913713681841096,0.44162255202859574,0.4130608209261529,0.43507986539701615,0.5823546352070843,0.40656936023884754,0.5508667069433602,0.5074234931437185,0.6203183774394999,0.5751087466669831,0.4999336385205123,0.4773175147045862,0.5464011106752438,0.5613781602728289,0.5094706324496855,0.5386690711358187,0.7628155500632718,0.5349273330189036,0.5797845635116337,0.49043696818826515,0.5411638689308286,0.5295113631646001,0.5171254440721745,0.8077438481667077,0.4513226043469135,0.46980464033205627,0.6878624322711046,0.40842538838887893,0.324313401232452,0.2929344019352389,0.32688907731988626,0.3141912355444651,0.31424858012818546,0.39402200976482865,0.3464522632232634,0.47806936428151153,0.4635309631945194,0.43867883088814236,0.377657246053549,0.3104737990584888,0.3081047402065334,0.3015551211889854,0.3286985039201835,0.3420803136287532,0.34692275705865705,0.3288660973774051,0.37268000234571047,0.3603566479089622,0.4701131632683003,0.34451021336287024,0.4731704553979157,0.34382590886432757,0.443445739297794,0.6045779684255985,0.3425064489743253,0.35524170666159144,0.30122816186545626,0.4062766326487644,0.45010755300623356,0.4372463611386318,0.35988415774718513,0.34723009557849804,0.3337555400273517,0.2916152611767023,0.3356400759870229,0.3171461338426401,0.3628068684902879,0.4139905879972498,0.40150278396159617,0.665769668453534,1.3370007575114184,0.8838487514840272,0.5494259067745765,0.44851989508460305,0.4553820299805442,0.4056851334599387,0.45589240992127705,0.3346665109126886,0.3628878621089817,0.32819967677036116,0.3236555164433427,0.3638343286195344,0.585118740227555,0.44659045304402334,0.5960979025427553,0.6453530876811281,0.6422534063031745,0.45163803421195126,0.3414423578631068,0.3454444797428891,0.3524298242620263,0.344133147162488,0.3901412505288028,0.4062130823962473,0.6610469635729045,0.3860291206364049,0.4685328418686924,0.3602023178456473,0.40355632657456786,0.3806995248784645,0.40732937144347375,0.4282382448825505,0.6670575587154359,0.6851483954224725,0.7212132731019143,0.9626728432188859,0.9525958902256662,1.0435453080545467,0.951246351976328,0.6788290414420383,0.5867914674783677,0.4606644136686098,0.46505348406097907,0.5164281367095758,0.4152981651357694,0.4223159383618975,0.5104600078825812,0.4414074699889304,0.4993802041583405,0.4446145629675064,0.4252723247691465,0.4648937144355565,0.46723975275586505,0.6001765977626843,0.472293579757648,0.518550099206291,0.4655081514322161,0.5191806924515383,0.5497419668105371,0.5764818778537432,0.6668378173088235,0.6552981401412772,0.6568461015123915,0.6946164412148023,0.6916346940923274,0.5591590749670803,0.5744800295990432,0.6403987764377889,2.0325374441604454,1.0580533141120307,1.6070423799334763,0.6564778165482817,0.7131158229580714,0.7729790376203194,0.7440033605709689,0.6189552662827914,0.494014436401534,0.7601363865681576,0.600055380971745,0.7540595028900613,0.5870406241885179,0.899429210864608,0.6867809478725857,0.6552435969502609,0.83477690976705,0.5085003569113367,0.5144135026634887,0.5812114033198457,0.720731952256544,0.8431919724816571,0.9809179889304962,0.924306938390096,0.7939238500307175,0.7452777419292654,0.9365176059145061,0.8421606147961157,0.6247439444263159,0.7956579466594582,0.8741981055445173,0.6302368603019833,0.6989571759060387,0.9012336374923926,0.8907616820509693,0.7109032886674143,0.7707335227182304,0.6762053316493858,0.6429578557137903,0.58983644113455,0.5875660622099109,0.588741498355203,0.5287638823228058,0.548988504559396,0.5090513520649563,0.5310411699044336,0.473870806407276,0.5119913621653684,0.6575223734428974,0.5489481124336413,0.5704972022607128,0.618377791993086,0.8595533727598269,0.7187059048377575,0.7325873384088881,0.8082513587949808,0.9669430239928927,1.0374757586891754,0.7658800580380137,0.6350799077146873,0.5558943762281622,0.8203241450202969,0.7874434113126051,0.8367982913550956,0.869339166541509,0.6406288219299039,0.5646460456490145,0.41713038933613117,0.40372453157517685,0.5295802181132843,0.49481588915904234,0.5082002219247278,1.285742551255938,0.46928383827152564,0.46876946024345467,0.5640316974167254,0.7565408831185784,0.40261580568956173,0.5837417235640082,0.755514534313596,1.5515535040676858,2.1860786070602893,2.8556520287191467],[0.8997433142863029,0.559583137898133,0.4737876899178086,0.3224640730262825,0.39096282812842514,0.3603138314595422,0.23241487234314046,0.31361702903222055,0.2853779128607115,0.27347841326385236,0.32373513222807665,0.42568933483373045,0.3095890793291328,0.28456783005322694,0.40254601813749036,0.37537568104026,0.40504132388329994,0.41190424844382006,0.39535579404996396,0.37892507573521866,0.4332451579372034,0.467449501779985,0.567159597847114,0.6699525142600584,0.8852878572900079,0.536423905832674,0.3325583908668112,0.30205679521386714,0.36110364983173243,0.3707239299397595,0.45700444268098966,0.44948693011242863,0.47595909331681197,0.49735595747086403,0.4418011155172424,0.36887823221091115,0.4171220749875013,0.3658804684479982,0.3055814277440591,0.32662520910764764,0.4866801790047387,0.45710774856702013,0.47923049075562435,0.5820715950976111,0.8150497318194504,1.3429415228688515,1.110484170410149,0.6282834829346654,1.227067328926857,1.438327177616893,0.7065616594205439,2.208161318675,0.818080984058177,0.7254725439798825,1.6945136737076383,1.0264465355419918,1.2198334050274506,0.6830630293157086,0.7792268553316137,1.516507698267481,0.7406868676641243,0.913146692376208,0.9747840778059523,0.7594405376597174,0.5165448041506281,0.5150469710965025,0.6586916967736132,0.5348596372214377,0.7035749738293114,0.5888786848774908,0.8323676600790297,1.0243659580727529,0.77241006775489,0.8169567715387422,0.5697775234514487,1.0806423389447466,0.5077593669265932,0.4685553414867221,0.42195338824574286,0.48283477758750776,0.4606676793761716,0.5757480684470574,1.0141642380410414,0.47276178322041806,0.4207007149928299,0.39102472652556375,0.4103308899493742,0.56628080688745,0.36898556013543965,0.5316510459327458,0.46305192367304915,0.6013124690964351,0.535172448026274,0.46775585611434667,0.44764785093258413,0.5165477998269152,0.5283196830094542,0.4861155334897639,0.5093410485169928,0.7167611759989447,0.5046842977973652,0.5598523054945038,0.47026379345917546,0.5211906488459126,0.5090804580270768,0.49759599167816754,0.7703300600357559,0.4364529926579174,0.458701737646719,0.6757279619865066,0.39273289048117555,0.30005092526344196,0.2597095918993322,0.3018960187158041,0.27646285745446736,0.2775617866364179,0.3595977516887086,0.3101160953258304,0.42452916571053756,0.4123131164274125,0.3816691571132645,0.3183581962120077,0.2815437249156004,0.2685637595881398,0.2705010932896251,0.31347856281864955,0.32471276238204266,0.3397214183715559,0.31761271427010196,0.35414397928525115,0.3518458304283042,0.44894576673842407,0.33449824539358836,0.4596395507875814,0.34255878554409164,0.4539497327375714,0.6043683652906493,0.34110721665892463,0.3470961889594171,0.28188414707913406,0.39518727660606007,0.4257482481319967,0.4074084737799767,0.3245867245583948,0.3174709095735692,0.29981114275206233,0.2612070633620148,0.3089202179670997,0.28650931994047596,0.33874053082365496,0.3904642976255102,0.3783338243653967,0.6363846930411953,1.3000496027115684,0.8873743745152046,0.524571024581939,0.4207200490918839,0.4292227440014006,0.3665701309769016,0.4351801866289372,0.31138648034543054,0.3427090317515986,0.3115846300846073,0.3041567735355854,0.34833847382546185,0.5819923881253771,0.4397312290449754,0.5988414165473195,0.6500558065636763,0.645092687769659,0.4468311214205691,0.33594424902902886,0.3359373710335942,0.33622034228888403,0.3223277312624011,0.37286517613490683,0.38198761664660524,0.6257061449036504,0.37353009404115695,0.46048225189215863,0.3327593818174318,0.38164091085576807,0.3573562855214619,0.3954846889991661,0.4228366176109156,0.6486678826070109,0.6766029229300073,0.7172575420430118,0.9404352503624133,0.9620137923393707,1.0347018533228116,0.9362603501167979,0.6757738468453599,0.5924579362004816,0.46451467550902353,0.4663152207134403,0.5145650461422745,0.4068716654369872,0.4174095050269398,0.49936787075759564,0.42287118385577854,0.4717645397499254,0.4303390167112123,0.41858122328116126,0.44365925980014076,0.44789968745514935,0.6080441525183659,0.4663772343959827,0.49141614573153686,0.4601291848956409,0.5173219474173815,0.5322410950428559,0.5638668325471069,0.662669196426193,0.6420473942299094,0.6623152241577492,0.6742309881287454,0.6852584839538775,0.5524772804017727,0.5506689833902262,0.6174674046796439,1.9889884398794557,1.0210690053004927,1.586697400293956,0.6347135205716293,0.6735927742363548,0.7350024300143149,0.709645691528208,0.5812585518653741,0.46823186810609885,0.7447594102065008,0.5931303434459868,0.7361834578917708,0.5713811573974454,0.8884332646153004,0.6747438423045988,0.6528963132472442,0.8449361071017311,0.5050051000501605,0.49396590683799224,0.5598773781242297,0.6938510827596789,0.8141980074973978,0.94199370478473,0.8841540854756732,0.7642636537189511,0.7021875517918553,0.892297283569741,0.8042998984100539,0.585924889121869,0.7385995710011296,0.8257877485802371,0.5935022991439588,0.6455359046035831,0.8379982523500458,0.8625177346190327,0.6733447425140205,0.709097021186822,0.6302380291832878,0.5928983668520346,0.5462878111500414,0.5466608086392203,0.551458578322373,0.5048777052889645,0.5262516302753144,0.489437406966453,0.5202628440362952,0.4697027521420246,0.5090459809819763,0.6546367953131901,0.5520604502795661,0.5691493242869262,0.6165837685329211,0.8376751371184197,0.7202958885942874,0.7262981980140786,0.8004599399847921,0.972023978303297,0.9922420144656497,0.7465863675960577,0.6406259526498411,0.5484829651594015,0.794914838212372,0.7594149563229698,0.8118312607373325,0.864738516472935,0.6334630112265279,0.5534453040033768,0.41343475516758066,0.3975565879791316,0.5058143775962008,0.4809642996368915,0.47509084340194857,1.2631980482488985,0.45135594529418216,0.44101804375182824,0.5156488747109229,0.7320892415457637,0.39950949105224304,0.5450687407371481,0.7638161661051307,1.5755061581459109,1.9933607831741968,2.697444825726997],[0.8614188171152822,0.5555978669518272,0.4171940381000733,0.3307230157099134,0.3899964874314802,0.3858361137479441,0.23821338567538763,0.2814362898201653,0.3019957626324972,0.2929243862669363,0.33717451688428446,0.3985978057882934,0.30083868216224807,0.3235924318127879,0.399147714056523,0.3625458033277652,0.4244858921797927,0.42971187960844187,0.43179014071385224,0.4041606813943677,0.46816419687275235,0.5013817137131096,0.588407245791511,0.7242938767542398,0.9277805176247201,0.5998073999165368,0.39792933685076554,0.3399906622322365,0.3588006654719139,0.37539364837640715,0.4668426126156055,0.40763550481537897,0.4592341579518683,0.47628910246550965,0.4153096230347854,0.38873627954258233,0.3814094799191912,0.37918991485493536,0.33215814187589693,0.35110292162314477,0.5146663066991286,0.4656494052319677,0.481915668181594,0.5819020623447884,0.8446314513450556,1.3743597071163425,1.18403932662188,0.665752544033614,1.268179235325051,1.4352699072631843,0.731190593985422,2.2876116730377984,0.8810958277575551,0.7989546186623065,1.5957731989101642,0.9060790823888007,1.1000902957813756,0.6916653535641155,0.7719520905160573,1.4603741414874172,0.8084202383094875,0.9321667803604355,1.0368413218378443,0.8464577821686315,0.5556567517490817,0.5581687191032112,0.6913853130782779,0.534285782853397,0.7382934594654904,0.6003523340959921,0.820681742120402,1.0183925715348672,0.7719743419849378,0.843508747084156,0.5954026271820757,1.1729588686969603,0.5164383373700331,0.4694926881471586,0.4308824722054504,0.5171712387453209,0.4454285125909649,0.5289105015153123,1.018958069596482,0.46045781227366295,0.45310914131406627,0.38521712113567236,0.40302114305684084,0.5373816393246673,0.39101921255883637,0.5006298823957379,0.46404122842414663,0.6696952179861093,0.5674170998695933,0.452747608118035,0.4380029586506817,0.5133759290101283,0.5099107533615664,0.4585792504383621,0.4721978588027208,0.6662948219745529,0.45562251681136606,0.48778857918778284,0.3868850403747099,0.4289697305073909,0.449944741972768,0.45572948082980896,0.6817017734544025,0.38873631551296856,0.39733212880066476,0.6689609860155349,0.35020755677468934,0.29215663670309217,0.2599144185365846,0.30702640500820094,0.30307845233423714,0.3016900107204115,0.3760035694137122,0.33945351711763067,0.49318681101270034,0.475255821697503,0.46530266233102674,0.4044951071971782,0.3072902091033391,0.29761002842699924,0.2989061803473939,0.31722113048893297,0.32283375165162576,0.3488183507753116,0.30336212781085403,0.35966972027547445,0.3486249617671317,0.4111050841053614,0.32314917723284675,0.457335082753171,0.367648297551373,0.5006206242464886,0.5824456981632398,0.3640394585387356,0.36403122581243685,0.3101717761351396,0.3972690121301804,0.45207863518238073,0.4288253146194442,0.3798263473108573,0.3810646572614061,0.3482000922769742,0.29888045843560956,0.3138624839059917,0.2813898661714637,0.3031370213858795,0.37050742926420516,0.36124684034344506,0.6298768755924496,1.3654152104184551,0.9232624799575944,0.46809808104405703,0.36142944307244607,0.3645761053612024,0.32207474902133104,0.386728530946816,0.31685884290837113,0.34288852082891935,0.3261487495414881,0.3288056656701573,0.36375458445982617,0.6113876092336709,0.4511837043484438,0.6121621568564269,0.6511385255125375,0.6442062435127723,0.4528735981749205,0.3593915176164273,0.3676222659311126,0.3344160445590205,0.3118207675322921,0.34826301156741896,0.375162288461877,0.5899100310898615,0.36345453815790507,0.4232477678854015,0.3263062977702572,0.34168000265664683,0.3379258310950464,0.35981691798699306,0.3920893424891834,0.6040903117558482,0.6488377530015357,0.7618519552823615,0.9667332103959116,0.9485160709120368,1.0542238789917964,0.9642862997743149,0.7314544554378825,0.6049455476935292,0.47503521382838526,0.47455848902421116,0.5048549071128804,0.404684399053615,0.4419232361679957,0.5179218602446809,0.4085158530882233,0.43285912424137396,0.41922630252073195,0.4210568411707463,0.40705538696694293,0.4229230501635877,0.618390673991338,0.44074090473023636,0.45649012764395797,0.4420080391844045,0.5011233297195434,0.5078772071005677,0.5461070872409826,0.6331468959239962,0.6270938969959988,0.644468546183889,0.6666829292008225,0.6489118489290242,0.5313028469541102,0.5083884830721884,0.5926642393821058,1.92843139479895,0.9660949956790894,1.5060492629511837,0.590146001925535,0.624553689782844,0.6827783527373904,0.6825884188946237,0.5556926253656124,0.4306850338925459,0.6881959083415857,0.578834906412824,0.7173961379299191,0.5376761456286625,0.8843566836947667,0.7173970043099843,0.684521552037001,0.916551201834895,0.5346019045251571,0.4718790779453642,0.5379096388446015,0.6202950286917382,0.7675722984563258,0.8973932198202854,0.8512612071475093,0.7119819502932445,0.6468730026841131,0.8531663972196916,0.7544401557446127,0.5340749611999152,0.6746916959457271,0.7654436903055831,0.5507992552077754,0.5924683087796673,0.7686910132612274,0.8214865759412774,0.6230450833430685,0.6400868352859621,0.5799118376485914,0.5305319787988542,0.48734121320559515,0.49077261714411335,0.49016906751824163,0.4659433319342466,0.4889659741083353,0.4448991960031729,0.48191779694408265,0.4510367311015465,0.48745600976277376,0.6471826640080196,0.5555926912010087,0.5868693719292237,0.6081266258589566,0.8337058355419223,0.7315593842067748,0.7293862697161586,0.8464942135399697,1.0252411657488494,0.9590175211174373,0.7453739118384357,0.6384523095713108,0.5434690779425551,0.7994772722060501,0.7662804570429401,0.8450281984173459,0.8963312071012646,0.6629755045020693,0.5587826437211024,0.42865038371294534,0.38666572316855075,0.4645251225771058,0.4524916327540119,0.4487931548166753,1.2692117023362313,0.4235578887912308,0.4081072514129427,0.47248321855846637,0.7202504584464944,0.4052702825153886,0.5319521943161822,0.8310180463734018,1.6031675345152996,1.9634112296431816,2.9678788312843327],[0.6819228461450826,0.4689808054137581,0.356596093331315,0.2905606218777564,0.34804955124720016,0.32463636072431407,0.2023654561337813,0.2374864172567011,0.2858725015480397,0.2781524021261444,0.2985213350563214,0.35239207627869396,0.29569373986344616,0.30977774245287887,0.3683423430038506,0.3383215469912015,0.4168323898750705,0.4069976199894329,0.4132182103046146,0.3760948316535088,0.4444050098321101,0.49105483301937863,0.590310472967853,0.7316000678391282,0.9481760709568928,0.6014889922220947,0.3779672959775818,0.3110901744270069,0.34092589129557904,0.3437074427913975,0.44312000697735315,0.3893202807214719,0.4426355430956322,0.45976466019749257,0.38517341167821884,0.36737319601302837,0.3576222652938913,0.3700879259549674,0.31555614180850144,0.33670386431942373,0.5025299446434718,0.46040009169896295,0.4759616887637927,0.6150385422694788,0.8926452979238585,1.393842829300174,1.2492073011354368,0.6843440769919694,1.190057896835121,1.4078905242783761,0.7252645528302506,2.1817594439990615,0.7980335603534298,0.7975576214907765,1.63986313201132,0.9265894773353447,1.0803293060838235,0.7146335357275608,0.7418358740357898,1.5067167335312146,0.7431574754329372,0.8097574090704036,0.9409207128431494,0.7974542989128931,0.5563359673848799,0.5268860522942725,0.6914697545732706,0.5064173680258712,0.719449132285316,0.5643896296516844,0.757472606961658,0.9479962177687692,0.7143377385183048,0.841188092115676,0.5555506805684683,1.1448596251606593,0.4703702325315084,0.45511810841150124,0.41033375345501655,0.5085728556985057,0.40237029983577005,0.4996724235493838,0.9943125021338158,0.4069319503942233,0.42934985195415143,0.3271313372849951,0.37537751241931955,0.4933572429331147,0.3581091670208686,0.49878716744195783,0.4438150143864952,0.6793878044781491,0.5889036992090456,0.4479791264874965,0.43706447367350765,0.5161184273221917,0.5065070015664814,0.4523845625284352,0.4500818332745702,0.6310611783137571,0.4434940261645113,0.47081765913905177,0.36084233909502605,0.3965882917095724,0.43914587644886793,0.4326333245317341,0.6130903075254094,0.3732677214771628,0.37479420527044716,0.6281423334891314,0.3101119982882849,0.2513888050983633,0.2077768165340645,0.25634187062978325,0.27742033212176154,0.2554415458386539,0.3470299818091137,0.3204616805772348,0.4886640561279959,0.4594181719799517,0.4366452789728733,0.39046646413853997,0.3001174341910525,0.24668401336836251,0.2348477255357003,0.269793374984869,0.25895757800046065,0.29757601614187634,0.26431677598141,0.3439316765507245,0.32025952257407014,0.3651482490265185,0.29526575033765246,0.41730413045761955,0.3421398003931095,0.5125010105679946,0.5790780133969428,0.33015107989602066,0.334090400600646,0.2642976109577133,0.4075186275413597,0.49484071390956885,0.44232939245196257,0.34311150685809927,0.357947990320868,0.3104696347166798,0.27342480303257155,0.3045778096453996,0.24196836629901822,0.29451460865173473,0.3548001680089726,0.3666875588764703,0.6036620611507685,1.3223544942504746,0.9413767107412234,0.45571311231519973,0.3459148336791541,0.3361628059310817,0.2894480501333862,0.34327590389924434,0.28669519057726234,0.31366932253656293,0.2947060696241011,0.3095068631207496,0.3448710543737069,0.5758885538217112,0.43820972561369476,0.6217476416704097,0.6468125666445431,0.6327319944658613,0.433024341988592,0.3274540452471939,0.3389911177549938,0.3296232333928316,0.2871360714314382,0.3167716976353059,0.3478823192974548,0.5245488174953207,0.34399880585706155,0.37254600954889827,0.3184164318114033,0.3211086365506671,0.3139994326213822,0.3536480946201786,0.3881504160658475,0.6131154174574894,0.6778852957059353,0.8348432851736908,0.9823951405475578,0.9903097300360493,1.0908263947382726,0.9637119230326653,0.762290573906504,0.6170590182081926,0.5263788023158162,0.49716009629084196,0.4878057122300495,0.4054496878321431,0.44201643070869334,0.5027623046574853,0.37914637902127407,0.38387020537110833,0.38176392902185174,0.3826357296882389,0.3675351091036974,0.3858521624033854,0.5938211889943305,0.4103485871409652,0.4186246138018759,0.4113968963742924,0.4778459982492618,0.49899011597061704,0.543273676181098,0.6120786776142315,0.6440835833608728,0.6623802354556055,0.6769395529588111,0.6409543164020697,0.5225757227192583,0.499022278070836,0.5831134465477962,1.743216124087828,0.9406493897721047,1.4861553024449914,0.5865880397532472,0.5869094269415892,0.6456595715596317,0.6596047635534505,0.5361204225944981,0.4293618320675292,0.6822911773957292,0.6031783596511069,0.7190545564042627,0.5421762742655135,0.8530875521776845,0.7745869852390207,0.7067218374960099,0.9360217702536496,0.5407063202877689,0.4612037900517918,0.5268295726230661,0.592487735066018,0.7320978501756098,0.8294258320876774,0.7977485526422291,0.6670974443212386,0.5875649529922911,0.7652531499969385,0.6927051934029472,0.4907555956723495,0.634092414977606,0.7391612546750966,0.5271644981451593,0.5557583971484421,0.7399939132635179,0.8484294283108079,0.6081968107877311,0.618895310464403,0.5560792277156684,0.4953228098806079,0.4391090080152526,0.4481804754358837,0.4517761024957911,0.43107638357363376,0.428246675722495,0.4178528238742065,0.4747794183819316,0.42482578133225374,0.47058026569748973,0.6681245830317157,0.5464234434235998,0.595385632844146,0.6190857027822261,0.8440514741675316,0.7381704511343439,0.7259276906634325,0.8983211312955713,1.0733108094911787,0.9153581463298894,0.739887908696954,0.6230433854539476,0.5135107702154647,0.7584991509086965,0.7497717340867581,0.8541569721457677,0.9013264699587105,0.6663521343577374,0.5338225682720219,0.41214236548309824,0.3322153748102614,0.4100481600061424,0.4004749390076158,0.3824762461738603,1.1886070571071072,0.3809233289810086,0.35602231491532116,0.4204083979814458,0.6576542599563888,0.326958009415654,0.4841529540749197,0.7885347298871183,1.584245588880273,1.8574968975757273,2.874866307647307],[0.6991693544691189,0.5121658096305031,0.49228541097617945,0.3335715770702112,0.3564158287303617,0.36977025686965526,0.3122414211059121,0.33392366492743447,0.3831299371413643,0.35407478102561946,0.3435082181996237,0.39185631840636154,0.37519905063155856,0.3523728064482595,0.3791275263197892,0.38137947853614335,0.4491460255554625,0.4205056230375306,0.4366618848854798,0.4054651559368537,0.46540392687231474,0.517964705986998,0.6237197723658084,0.7498747120216839,0.9671679838321063,0.6384168973600185,0.431306991237978,0.36955146597132355,0.3787192984741918,0.3951993271666261,0.44979102197631743,0.4053651154240781,0.4515644242528671,0.4619172931804675,0.3975855022816191,0.4125125218231079,0.3959816031790161,0.4319382604609213,0.3710067588669458,0.3835778475590212,0.5466108166049948,0.484244942407397,0.49969399272911313,0.6345409202241379,0.9099641898276974,1.4072186325116622,1.2672681464258875,0.7209064533293517,1.2600541596839343,1.4238669687458327,0.7706636908405454,2.278055880438424,0.8671755844573694,0.8672906214824908,1.5888534556886944,0.8658687569376453,1.016154035053816,0.7467463450507296,0.7399016537997879,1.4674208265065323,0.7792375083993444,0.8193275229472776,0.9567297317706669,0.8241593841022264,0.5792780261392705,0.5614056602421005,0.7096932855846817,0.5127536846196494,0.7128640800106051,0.5555240224141355,0.7498449000792078,0.9231029808687987,0.6938635637926064,0.8187900245059374,0.548790227399903,1.1287095929781907,0.4803761563389357,0.4577326645914584,0.43135575672377013,0.532696514891732,0.4304672391557779,0.5346194762594629,1.0176768482179679,0.4684495414389779,0.48646072375369553,0.38236661972462405,0.4074910167357991,0.5189609322614784,0.40190753912916816,0.49692505174219487,0.44111944384279944,0.6687335031942014,0.5887922499384102,0.457025633334044,0.43926567471529915,0.5096595964537278,0.498146694544917,0.4583358917669351,0.45358659999966383,0.5842245646281458,0.4502932760970824,0.47903687144121443,0.37908255035427424,0.4189292053270572,0.5176079378492362,0.47435733688704323,0.6086198620990682,0.41120072834381344,0.4065064133752329,0.6655470262972937,0.3527629105961977,0.35245278673560293,0.3163770773544517,0.3290631732222743,0.36033463752564426,0.3200684645448388,0.4065276000405258,0.3598700908162322,0.4964353556335377,0.48280784099152724,0.45357553145263124,0.4466456186911479,0.3534005158322721,0.3069807006393004,0.2947684755200965,0.31311858491720607,0.311792138007615,0.38455830485177556,0.32511765143198673,0.4233735295444959,0.3700863476351867,0.4037739936962566,0.38504599655923016,0.5112925352771059,0.4405885189117512,0.5887164591892501,0.6072477283527183,0.40757962704521805,0.40823264420066,0.33434586335847055,0.4347909973027452,0.5279940108628314,0.4773050870574772,0.39838000604555274,0.40993734710371293,0.36659696272193326,0.3351635520672762,0.3633554066859505,0.3431921754825914,0.3581710639118537,0.3766529676619635,0.4253173316520512,0.6242565350453776,1.3108127029605294,0.9653421686980853,0.46448677862263793,0.38797449058903405,0.36993550043671647,0.3554652177951733,0.39830743805208646,0.37106913092937144,0.3846882959153001,0.3628145040371157,0.3787477590634955,0.4130884026827783,0.6023574105036853,0.481882858201542,0.619894099437608,0.6442832373233323,0.6336915271606214,0.45990622894176625,0.40191486398273923,0.43463917369761945,0.4101838197116041,0.36488017119776145,0.4026396996020483,0.39914793658451453,0.5397963459780099,0.4156944804506804,0.43160745826740526,0.3959593777606963,0.39520496085872336,0.4062408073923449,0.40815337495510956,0.43755782087808764,0.6062291745176507,0.6655275004336524,0.8800524638132324,1.0099899155344128,0.965498019124783,1.1107902482482965,1.082004413351797,0.8466181171359817,0.695966975058983,0.584052978852784,0.526458454846388,0.5076662562316987,0.42770018037756724,0.4609125444835071,0.5088307120906586,0.397709850729743,0.4058359558250254,0.400395259825571,0.41297178043892996,0.41424077292554584,0.43624320464257405,0.6237539324693537,0.46735501203022456,0.4646628282244808,0.4765245581157581,0.5210237864370828,0.5260934071348884,0.5752918142957921,0.6552279882438967,0.6712260778806984,0.7203586304469566,0.6636464777228073,0.6567717214222617,0.5410898841561447,0.526615714459357,0.5862180355186174,1.7403056789728373,0.9099840832237629,1.4949566085018886,0.622598839253766,0.5947673241018108,0.6483697723141627,0.6950984304372919,0.5305538638436995,0.4552273243305406,0.728825522980586,0.6895957889277707,0.7251965310587479,0.5643239900973686,0.9369796591642441,0.7090984817316025,0.6612526767951625,0.9200380723705526,0.522640248101504,0.48951231454632677,0.57213214006743,0.6354267443050686,0.7716314705993942,0.8007022399797733,0.8238994850991478,0.6758434642197314,0.5838921707235454,0.7626472728319458,0.6714225172669674,0.504253230103801,0.6208857845741254,0.7116889013506034,0.548465180290702,0.5601369020778407,0.7249495295359243,0.8838233123423639,0.6404684038211547,0.6325660931722521,0.5696057644488228,0.5116414013352217,0.4626174074934043,0.47933150955920434,0.4891885257740526,0.47203260786292545,0.45947743990726597,0.4683772197549829,0.5311952735480067,0.45856097019625097,0.4977334039449149,0.7008929154409073,0.576822562919958,0.5772400157674371,0.6370938871126758,0.8237165631776547,0.7486983487013733,0.7309434873083843,0.9111547407644163,1.1023511244627517,0.8678471535154367,0.7337021110363486,0.6492998891357501,0.5505515666398096,0.7905992366170624,0.6798508503379528,0.7711076287896443,0.8600492370029912,0.6520904590452591,0.5250019835339914,0.4299701493793878,0.3708894019828578,0.3716044403468367,0.40493213389590327,0.42451100695859356,1.222699263202141,0.42382786041177406,0.4122980363003303,0.46789727071466836,0.7012528196210079,0.4106480558179869,0.539313746091228,0.8822980889789018,1.6063861967044466,1.8927759615820567,3.159099403764393],[0.6446626234250804,0.5483305099299217,0.5384642881653678,0.36471423972908223,0.4003555499059268,0.4405292428231291,0.3713455227101739,0.3721388115896156,0.41769973034246016,0.41779595901347244,0.3998287064841838,0.4539805602846685,0.4292985134831061,0.41856370551191413,0.45518310027010844,0.43645314938147534,0.5087618655068223,0.47594850842444336,0.48450665433272055,0.45604778197678075,0.5397727801662043,0.5972854857856511,0.6947678119265027,0.8258279568295903,1.0565463323946573,0.7207450368157624,0.5082025435531575,0.41121735866127795,0.41701821625393554,0.454915556491211,0.5240859260682393,0.45568602392011665,0.5382203622369603,0.5392590000982557,0.46938806736678146,0.4936919584082136,0.43887752842825595,0.4887869051803682,0.4217846775149707,0.41844731114889033,0.5704576451259218,0.5426389816112792,0.5672158284838427,0.696380510850966,0.9992316203784781,1.4618038343688027,1.4197667869983175,0.8011552865812276,1.2047408382622276,1.407487020224716,0.8149782517224836,2.170609771346214,0.9034958961056146,0.9244393537219411,1.6201400848461311,0.8946033475124507,0.9835895152840695,0.7870266083943235,0.7394206591784321,1.5154595281503018,0.8008576123827674,0.7938850479886715,0.9281083882773165,0.9000386831093774,0.6395116930705698,0.6283197698498636,0.7694208944188553,0.5297827485653509,0.7494373768389032,0.5941911253616308,0.7396312465196245,0.9427518604264857,0.7125012400843058,0.8745393901161008,0.6064461353879185,1.192944954582864,0.525613427526771,0.513696638141203,0.4947872527393023,0.6221076682479324,0.4726729609671558,0.5703997196610482,1.0114993072463978,0.49843297100168144,0.5427957064675643,0.43769673739609344,0.45022819931688063,0.5624195180298835,0.4865384943178708,0.5473661140301906,0.5227679875084398,0.7733030034350015,0.6879041557322042,0.541795105438498,0.5084630909685359,0.5936691151707673,0.5469749424980903,0.5169459456846943,0.5038341222029531,0.6060398460347136,0.4736038000687116,0.48293138307224304,0.4314549727073159,0.45075185761770026,0.5641864387171748,0.5044969116867783,0.5865180864787228,0.45506396148445427,0.4471511693403204,0.6748356203367396,0.41424034128849374,0.40714435471999816,0.36699714726280225,0.37076839700902725,0.41342588291471155,0.3599203887236623,0.42876441290921097,0.39346555664702665,0.5540207956336051,0.5171006658855767,0.516939621860912,0.5143041880230219,0.40230067080442666,0.3514247513219209,0.36923853025775266,0.3771879733873168,0.3692334782525956,0.41990414104658763,0.3927360541160091,0.467539909925387,0.4316568620018924,0.4454455270513788,0.4325273139019622,0.5068575739223902,0.47234211292520983,0.6309411363360119,0.6088477411785347,0.4759920748377736,0.45566513681556714,0.38722498879863043,0.47788620878373816,0.596225428757096,0.48728187846529836,0.43007836328114524,0.48440399509777576,0.39744687802773576,0.37890962161146147,0.3934217718578791,0.37398319442601574,0.39461806609959205,0.42136158933749324,0.4598923529234417,0.6404408902578449,1.2967706414241218,1.010068947681034,0.4891287333455859,0.42095720651693574,0.4005690338607429,0.3955865306056448,0.4181130933690354,0.4140989349874529,0.41049832796474606,0.3977046777220233,0.4166227241912808,0.4572189656604083,0.6327422188756315,0.5367508362946762,0.6951844903124741,0.6828690188402272,0.6604252910618831,0.5101024825611922,0.4482754931473526,0.47215067447323017,0.45351359836409155,0.40189906779339707,0.44799170968652424,0.4456107858725258,0.5446443478047281,0.4412172711297416,0.4539278562679993,0.4590779605375543,0.4375130528254838,0.45096449964608165,0.47113327149768175,0.4815825708456996,0.6293336554008809,0.6978800730043636,0.9842857665232765,1.061973941745391,1.021865790386847,1.1712460166360874,1.1144799358698494,0.9282956155414879,0.7665842253399214,0.6764561595689332,0.6069149985003789,0.5479515436903875,0.5373505973371214,0.5456844354632856,0.5882066335895312,0.48267335930088157,0.4641087448257431,0.4762662399238097,0.47928184413601,0.45794735445359214,0.4694563929565542,0.646499679182274,0.5171710537643759,0.492240124399866,0.5150119911572127,0.564051634703233,0.5711339050632176,0.625542912402321,0.6930137029077017,0.7367132889540697,0.7883114964016962,0.7311476954304613,0.7101606312839691,0.5814612322183055,0.5706555267163764,0.6697279792253934,1.5955573152233233,0.9833572592654641,1.4788814120601264,0.6585535755394012,0.6147680731227994,0.6601866537701018,0.7223837784979056,0.6115626862941491,0.5530993705342354,0.7473621385066616,0.7403163089811466,0.7863403606299355,0.6240707777326201,0.9369857506975262,0.8449230346157941,0.7829141038634366,1.0087358332484242,0.6118675190114411,0.5678046634266073,0.6131586530342221,0.6330130739400919,0.7581571272747902,0.8000761731924431,0.818231369082793,0.6714789277934955,0.6030229285699731,0.756302389937283,0.6873562738307348,0.5226686389799563,0.6336560226545844,0.7292536592107657,0.5789215081457525,0.5823494699008946,0.7317415061233381,0.8926231738646784,0.6527915154422895,0.637415029482229,0.590520529857301,0.5374537783042972,0.48336146706818656,0.5248212813409889,0.5171331429050263,0.5124634020597135,0.5238452383864142,0.5266315124294513,0.5815634012537655,0.531040980480412,0.5692719390267237,0.7863730962008013,0.6440357635488141,0.6539610411718106,0.729276559028933,0.889925599756672,0.8152050149743233,0.7687624818552409,1.028718016032879,1.1676881361552696,0.9002680580770744,0.7733527843922803,0.6762035985416628,0.5892615417665245,0.8073200927957966,0.7225817534480786,0.8514138585116899,0.8921061113169875,0.7157916383392123,0.5644308892303663,0.5022288517610795,0.4308931782942589,0.42363090278145465,0.46834106844142076,0.45873812090486876,1.197507911251378,0.4788085055592183,0.44075658965527675,0.5021148440776666,0.7117585870001331,0.4231090346274243,0.5478136150983912,0.8227007105834729,1.5605242726806383,1.8070187698964875,3.0687940675147343],[0.6672439605468583,0.49699531631481697,0.5540558020895133,0.3464278140335164,0.3664230800757624,0.43148533197562844,0.42322060715398274,0.4581235042676433,0.4920790217699572,0.5359692466570621,0.5575852981027729,0.5858748140780112,0.5702363697314826,0.5674484811357696,0.6230498521489889,0.5844712443362702,0.6405880357179755,0.5966640939115276,0.5640717272542132,0.5475481994170364,0.6173683986305454,0.6634709270240439,0.7363501219074988,0.8627543057972981,1.0059573529754497,0.7569425248499617,0.5828383140939482,0.520855022875118,0.5439899855606217,0.5828903021710872,0.653032697097171,0.5944324570773369,0.6766156880674863,0.667773115701846,0.5938313784232027,0.6085121431490647,0.5715219611933833,0.5927026541232259,0.5123969973454399,0.5035645936435801,0.6134048229868672,0.6115048201970879,0.636041345388753,0.7200846987587936,1.001577683905005,1.4343598315276551,1.3945514930131269,0.838401994383667,1.2885708681556243,1.369576127624362,0.827093986370265,2.2983364791064154,1.047270345730047,1.0071604625350976,1.5247192318055525,0.8708064371779761,0.9577354341567232,0.855680607432059,0.8189612108722397,1.4724909845752012,0.8944395916792682,0.8855156481177444,1.0457372580459041,0.9647855707259003,0.6930518471185367,0.7110061435273587,0.8417698393356703,0.6187650761757346,0.7994673285730074,0.6916714918955811,0.7839716810823233,0.9736355360596215,0.7694807947495853,0.9453018741371209,0.6871154393066495,1.2592726727591148,0.6158648344265257,0.6195147401281258,0.6061063671973064,0.7335431158313015,0.5989773628795992,0.6593729231066446,1.0875383742769893,0.5878079614157473,0.621219259983217,0.532998979671273,0.5631632552137201,0.6584737340973857,0.6117226358976351,0.6620945536437021,0.636774687850663,0.8769595937522953,0.7907934857272781,0.6728264793955734,0.6436599245477161,0.7285562280695185,0.6796712880584524,0.6545245500272435,0.6376601277821018,0.7074420866647412,0.6071571557213025,0.6117631600271153,0.5637507845515377,0.5508349222024246,0.6233783608860153,0.5428629528509552,0.5892622190645778,0.5050611206308593,0.46553684045201416,0.6943647641058609,0.42066570669465625,0.4401631257351573,0.44244039213583186,0.4372519968565525,0.5202303139356041,0.4549443977763077,0.522492386255674,0.487873913184956,0.6145334088978691,0.6151605601647213,0.60776122509368,0.6314114015921971,0.4664198119172174,0.41060760251427386,0.39956631694751316,0.3788404189494351,0.37493043713443247,0.4269732610459861,0.38646955958124013,0.49695844908748626,0.4260503640233163,0.44697237583127447,0.484610728127818,0.5898290247045105,0.5387864455848551,0.6473819978601507,0.6085814167491417,0.5068480803966812,0.52833163791573,0.4635891618776256,0.567549312157536,0.6468275015405444,0.5755265713036108,0.516052500435165,0.5516413045717375,0.5023595532953381,0.4863448771835798,0.5168321568733161,0.48268395935926,0.4979416190879231,0.49563105076714364,0.5561762542411386,0.6850757883434924,1.3162958756307535,1.104022287172976,0.6199667462070843,0.5598133120251846,0.5131293580459869,0.5275337421356455,0.51146436096888,0.4992556359984689,0.5258186336222942,0.48245123237731047,0.5006159893449252,0.5147946970944844,0.6591338743475977,0.5809945400621017,0.7041092470355935,0.6883536513724128,0.673855401128077,0.5434378298047762,0.5090390265951724,0.549029189842912,0.5246759079984722,0.48659037160384155,0.5454395100524775,0.5484698012167655,0.6226929018288823,0.5300316501519138,0.5357384561251582,0.5164315670255849,0.4996488499167788,0.5208734063232827,0.5323868749576166,0.5577916335271985,0.6616064288017408,0.7046589635140366,0.9905121554698282,1.0974766195753605,0.9512283832231228,1.176767105571604,1.2423804036572863,0.9704286224087768,0.7881559349573319,0.6945129168093432,0.6249273910314623,0.5397685670483107,0.4999518070282906,0.5003106009807408,0.5432522065033508,0.4324582322889578,0.4064873881146184,0.41375858628552786,0.42030362548192063,0.41174919755435346,0.4272890453451607,0.6275988139762423,0.472837413917243,0.4372001087285318,0.46541788626518305,0.5139239554728567,0.5048923667019176,0.5574674759698885,0.6406020984933368,0.6660557664264937,0.7374834548756243,0.6577263095777042,0.6724773994531545,0.5505040655603417,0.528045639391213,0.5802341515346843,1.6470126882669833,0.8677607616156439,1.431089666838151,0.6206988915626623,0.602640320796884,0.6312100279682659,0.6911858352621175,0.5283283950599391,0.49130631704313465,0.7050441425717915,0.726243494189509,0.6931508269485341,0.5541142866849859,1.0024768211845594,0.7355168375978373,0.6797716937523229,0.970286584521657,0.5370443761200077,0.5324955037110737,0.5962089074542473,0.6166901325469233,0.7773717721300548,0.7665575869162954,0.829625714734822,0.6689784192662439,0.5968146928357069,0.776616643195432,0.6715901110996462,0.5134663349755687,0.6256254624132804,0.7166827502046349,0.5449096394058696,0.545442004986983,0.7010680452575838,0.8806197612683144,0.6070869213910908,0.5862670007374244,0.5225848089036259,0.46958186460004253,0.4497928527718064,0.4847085624296276,0.4522996927368549,0.4625901330830363,0.4453947525847266,0.4590874796078461,0.5261492283187846,0.47108476470613175,0.5091997310104233,0.7408949192238472,0.6090802510281287,0.5888875741561628,0.6926679961900263,0.8609785268488538,0.8086984297377484,0.7678190420808548,1.0308972126128797,1.1876645431277066,0.8622530714262078,0.7887223373836975,0.6751730080575246,0.581370828583277,0.8669171322299214,0.7043249261218083,0.8110990696908564,0.8674910045298349,0.6684349833726446,0.5221893482143525,0.45174018451718373,0.40600013247213734,0.3827753274478932,0.4143162195819061,0.43929191939088624,1.2457963919942603,0.4486524902603668,0.42311531516257234,0.5052047334406071,0.6984321797478183,0.43090138951514595,0.567860005167723,0.8954527749172984,1.5458217283489328,1.9230630664946724,3.3204973008833325],[0.7275783735176259,0.6409095680201572,0.6644069541846513,0.5333885284310568,0.535987420029073,0.525497618301546,0.5030954549917059,0.5287243628733453,0.5322402175113522,0.5856430075139618,0.5958678168970786,0.6245406503919171,0.6666045370242466,0.6685959446868301,0.761571086276399,0.7424969174759264,0.815821197080079,0.8588685241696364,0.8987800043781694,0.8600148244455381,0.9934068852912579,1.027900706323882,1.0784628262807043,1.2209888266987219,1.1256027322308446,1.000287910017937,0.8612420299719189,0.7858093084278415,0.7857404140155901,0.7636152985781012,0.8520159969703225,0.7504515076028594,0.8357680553379286,0.8707489549193153,0.8155594365083495,0.8515470647220198,0.770588063986827,0.8374884532232093,0.757310185993614,0.7453218278662712,0.8356115865078289,0.8938846140594437,0.9344446058767377,0.9664189241529307,1.2500916663937078,1.5298737773483373,1.608663555393683,1.1007900451666142,1.2920525879955551,1.3887033681228929,1.000837647650359,2.2524063129667478,1.1917364193363271,1.2031055909133983,1.6683256848187538,1.1261616834372241,1.1531885937065267,1.0910472810696925,1.0607863451756683,1.6683489973201773,1.1654442518493424,1.1213654271762852,1.239067902336685,1.290773631728826,1.0301228974315972,1.008288980350723,1.16585805527807,0.9132844942983317,1.069581604352303,0.9911295929816872,1.0141205354587268,1.2287000723425932,1.0587514561752829,1.2179661760388973,0.9896872485334571,1.521722783598847,0.915877109884897,0.903275421564681,0.8841295092977376,1.0086948520372727,0.8539847969230246,0.8737875974107228,1.2066400851102492,0.784578618116893,0.8054786318475653,0.74890676446779,0.8310291194882113,0.875799636974756,0.8989712724301151,0.9090933445131751,0.9023041526707232,1.1041347519765219,0.9922778579953602,0.8594070524395527,0.8001795495944101,0.8608606718533444,0.7813186434514842,0.7515802818823883,0.6937640480508759,0.7249192365545994,0.701013421903408,0.673707840908987,0.681902462261347,0.6338165566651598,0.7343917992075825,0.6441133191205761,0.6646988834658112,0.6345578460994495,0.6107260848346979,0.7839515602753652,0.5487542510790894,0.573874560106483,0.5558650543587504,0.5895986162841195,0.6467972051926281,0.6423864581004165,0.7420180934020861,0.7580040585754835,0.9448994623714341,0.8880134257284895,0.8931695098937116,0.7875558381324351,0.6733698098532118,0.577717805246226,0.5384778278564762,0.556152784938286,0.5194084603284687,0.5740270226812846,0.5476779867630804,0.652876803885356,0.5984044738177099,0.6119614184718737,0.6340207829027792,0.6981480909524426,0.6705481448929207,0.7709594924275633,0.7287708062356859,0.6902448422647981,0.7057599807635453,0.6593093228023719,0.7809678765810903,0.9095050377588655,0.8357361865101541,0.7400165385535582,0.8049549164479755,0.7360920423888941,0.6921045409202365,0.673638044365355,0.607762547370475,0.5674985354443662,0.5660133032525922,0.6064961113032676,0.7278498306848967,1.3570427115041188,1.1143799845204891,0.6387816204415049,0.6155674165749121,0.585705527378919,0.6363001403926232,0.6155427011020809,0.6640492844927225,0.7218189645952506,0.6844257730100988,0.7082291084071404,0.7128053901464095,0.7775948154872951,0.7371285222810753,0.8363671185683851,0.7970196682493393,0.7701858589868803,0.6804942611451911,0.6784317803564739,0.7238362015958324,0.6987319474987209,0.6750267974064895,0.6848197635683334,0.6989435888414969,0.7428486151244422,0.7078036603177887,0.7042587050371693,0.706439684343903,0.6556862471541637,0.6974017626294757,0.7066837996802172,0.7093041378660526,0.7993774698589962,0.8379163998039062,1.1317749751060446,1.1548269213565614,1.0177138859233403,1.2372134164201767,1.3459824283862658,1.0822482302627334,0.9086481167891134,0.841973296913255,0.7783245573627161,0.7004331738511895,0.6926386624184765,0.6906669122960865,0.6912497260081082,0.6162811418805464,0.5488727958342166,0.5689249111720531,0.5942410473688382,0.5687697140133893,0.5641065432372948,0.7495324102972211,0.6354516270490485,0.571870304646174,0.6030052465463139,0.6589433562695695,0.6503485707599004,0.6724111565164279,0.7477822979903526,0.8135750410074468,0.8898318580528817,0.7773678834904685,0.8687118150237362,0.7424623879981038,0.6897637390388054,0.7495804732638852,1.5304506941436236,0.9887669470801349,1.5291901514644224,0.7596784617653194,0.7062687154511157,0.7327304436666267,0.811187572207781,0.6808866084395222,0.654160043634238,0.8192080397782368,0.8684777410394344,0.8563890228787155,0.7370101283814805,1.1046974340490796,0.9250784822142205,0.8458496335078343,1.0736590070213896,0.7233907614037556,0.682871515438068,0.7170415990681775,0.7162645971225768,0.8232253330829097,0.8134024280810498,0.850923519574783,0.7153897744695262,0.6482811410113486,0.7930078485475872,0.721028179986422,0.5972892611542703,0.6805340824491104,0.774295096364222,0.6362197535724359,0.6452613817814937,0.7809173594219518,0.9346722162735882,0.6949818149791075,0.6773911787158585,0.644597591317586,0.6007899123329369,0.5759706169799116,0.6078193179423147,0.6194968880542518,0.6129728651609203,0.6026290648650044,0.6264881738873216,0.6839203026296572,0.6472137894646105,0.6826251086471473,0.8930896972945215,0.7650662700726906,0.7944276827760878,0.8960524235948641,1.0632115886873268,1.003774625209668,0.9365081919868735,1.2158595017088754,1.3152893810362982,1.0827386071241656,0.9834632555191353,0.841739087895197,0.7452606941629175,1.0378572797901224,0.8802549580521238,0.9878540668894633,0.9902192990225201,0.8222933170075108,0.6810826668104081,0.6209787865388112,0.5704307828674053,0.5328965058436897,0.5289014470283793,0.5265822046610378,1.2430948924904621,0.5333749579668257,0.5288679104562387,0.5679753356520482,0.7322766316418843,0.5158122163067824,0.6409856439247025,0.9213530186296292,1.5717588896419028,1.9104492648117848,3.257515017048421],[0.7939760502107027,0.6772124214975397,0.804177004268372,0.7235560462553623,0.7361414692200879,0.7611686199270865,0.8183743922885484,0.9363386347854658,0.9472445519627387,1.1035068832676926,1.2381042560939912,1.2784627169814704,1.332983599964484,1.3295918779055986,1.5422156741224595,1.531920516034865,1.5066813091258389,1.6061765727699138,1.548668869040783,1.5184915983649394,1.5715132013583106,1.5576468002993253,1.5862018045290238,1.5840797122594557,1.5066456081097817,1.4873085701665667,1.3723539291037066,1.396069966681523,1.496615465729932,1.5022959858204576,1.6570520681364764,1.5413574471508158,1.6503309925885181,1.695953217527883,1.6312788567682803,1.6106471614437534,1.5251035263230432,1.4737081306684103,1.349050122552842,1.3166511560727718,1.2828044661388092,1.4147108731833753,1.4312380296031375,1.353667701624146,1.4950219451760869,1.6215944804205622,1.7532526270949433,1.427035125089702,1.5232259600681661,1.5007890069558103,1.3024972392138598,2.3921334897539825,1.5707087367804866,1.5403153823175932,1.894467281727702,1.588248269466249,1.5687881997485615,1.566771661982451,1.5844372955742514,2.007417961307436,1.6672997793385573,1.6587387501775244,1.7830561166609995,1.7847491551144286,1.6064889522423642,1.6234925139254248,1.7511540865317858,1.6474449681835255,1.7597931903541062,1.7509233619296416,1.7624566216320359,1.9305051365904882,1.814297862521294,1.8716249885332508,1.7941093517373532,2.098549936781005,1.685096943853174,1.704305524685228,1.6497156611234511,1.6773926045329883,1.5720351252250115,1.5231969159361864,1.7038216095534886,1.4240576961442835,1.396355032018747,1.4117314294594918,1.5116210880191636,1.6355860374496944,1.6314391046967032,1.7284655319177993,1.7257102411452157,1.8781219826384643,1.7715548744549696,1.654774578753095,1.5968776537672618,1.5883715525956974,1.5333342182186434,1.5302973081932745,1.4294834787030457,1.369419199753088,1.4217647495643269,1.2991485557249687,1.3542171803274192,1.2373294299194815,1.2379355272073125,1.1233810678526788,1.0955016173292453,1.012419165539612,0.9246996028089584,1.1586219339641095,0.9043107867600055,0.9764961397775325,0.9725039416906148,0.9799898284810691,1.1273809109176829,1.061767216937202,1.2644017166171837,1.1128440252644685,1.4408844656420534,1.557442208231588,1.5131089982067525,1.3262721803840904,0.9912857884226842,0.9168221499141176,0.8512818411890466,0.8512393483871287,0.8175839174337193,0.8859301475908404,0.905358158332436,0.987295490307362,0.913988034101691,0.925670914438004,0.9288870779886995,1.0256674827231083,0.945221851458923,0.9721979108409957,0.9475338505578984,0.8918331904445488,0.9066268890793119,0.9377287024103725,0.9508181943650569,1.1261787924003668,1.142275261094395,1.1145223553582573,1.2559014143860492,1.3093915983581974,1.1979480368270998,1.2405654830022534,1.158063213000136,1.0845596819697028,1.0690901986093346,1.0899560560853203,1.1953229805815564,1.5833390070000186,1.5080295429996053,1.257486985918111,1.2695215727055538,1.2013644748315007,1.307151718948125,1.1765225318270434,1.1569872089374225,1.2892874450588172,1.0993612408326225,1.1748713323831743,1.0544517634698714,0.9681830294470778,0.9683314934097277,0.9704580638375331,0.9689185402557117,0.9644564543247472,0.9195678856404546,0.9265200519283566,1.0450502015156855,1.1275260385519286,1.2219763577052123,1.2835157610790806,1.358628448016152,1.4059374944877379,1.300006433430214,1.2769697637913708,1.1729398615003883,1.135365774591195,1.105863866945332,1.0790350678873146,1.058737027737719,1.1360594134481081,1.19187244964721,1.4245720460159284,1.3610612677709284,1.2230445831261723,1.3689432911568962,1.5027748949457773,1.2361489365586666,1.1029848367170318,1.0820299012479184,1.0249884652426455,0.9801399120656492,0.9664449762841896,0.9561315421097121,0.9593810445384449,0.8842676527507046,0.841262694741209,0.8410851629765795,0.8286960172183873,0.7963172496734909,0.7638326915347553,0.8901020173917705,0.8106120679500615,0.7124205291490788,0.7025239249458072,0.7553349592364785,0.7142220936150898,0.6877536983249097,0.7947209437144052,0.8740827986209829,1.0446024449313358,0.8506342735778843,1.0466543826767867,0.86918961608111,0.8334169354538553,0.8906932626993738,1.659051739848268,1.0862395117108348,1.535195255551596,0.9166831260876023,0.9245147307151804,0.9391890332244184,1.0897711590558128,0.9416008783372439,0.9288044184911824,1.0962166812876317,1.171099218948121,1.096554977952685,0.9901268880097113,1.285498744795218,1.1677100404133682,1.1465795434697292,1.2698457256253162,0.9711150063820656,0.9984223260737567,1.028453661889075,0.9549718740880768,1.0778767756230236,1.0742222110803354,1.1474376252156269,1.0197909814604331,0.9573494639858565,1.129084779555768,1.0208362206278683,0.8440897265014153,0.8964072655918898,0.949963694964193,0.8023400947440229,0.7994643098239634,0.8507065642115189,0.9936370113217277,0.7588874467918196,0.7554403632461848,0.7582188098936973,0.7556410017336781,0.7667109132067009,0.821723779288398,0.7729408036120775,0.7925634184755869,0.8413135687206932,0.8254894400252648,0.8630874397028367,0.8734542915020821,0.9209997693954436,1.0918806911634458,1.0097214989112424,1.0164479957329373,1.101866155917749,1.1898733238284578,1.1610847339447044,1.137069572857733,1.4189950637420559,1.5475285093331954,1.226419014461929,1.1908530015326009,1.0330631616250459,0.885160567962656,1.2427431128727084,1.0902470954763985,1.2010421010697507,1.1829577730289946,1.0001447819426457,0.8962606579862954,0.8835237121887117,0.8288212452060971,0.7447931036737869,0.8257018833418112,0.8273664790314391,1.5044136275834434,0.8258715348939444,0.7292206321952354,0.8216664905668771,0.9921609282409687,0.7320970014590548,0.8161362937878449,1.0514999941080738,1.6913809937228297,2.0704382128954775,3.4546884318376776],[0.9157999989475604,0.6949854695524788,0.7218699828767282,0.5933252416071654,0.6691233976559277,0.7244076123979544,0.7556437380149225,0.8402528459883819,0.8514445055788067,0.8986097013633997,0.9840414600813577,1.0229162114069812,0.988991554239519,0.9949723894212852,1.108590524839333,1.0760301335121982,1.0276139116976986,1.024525233962905,0.9455130314122816,0.9399967990728726,0.9850384090481987,1.005914934355558,1.105324096862088,1.2227211388150454,1.0646112617970318,0.9999309439363415,0.9100103322366168,0.8900028588686234,0.9741693144453213,1.0291716969951985,1.1012631725232245,1.0788603610285599,1.165491101374013,1.1431977598540592,1.087894403235327,1.058460051326371,1.0124610172847652,0.968050934944178,0.8964006302239534,0.8818027217458089,0.8879661169776801,0.9275656537149439,0.9568104835907247,0.9353829335858483,1.1687655380072661,1.4570780784234505,1.493379432711381,1.0688406496538645,1.383390308403102,1.3264656499021448,0.9621689600063837,2.4525482931506595,1.363577887556111,1.319900035967561,1.598549821829186,1.1096575050282682,1.1025919557200183,1.1590533653818247,1.1430574785142045,1.50633535254328,1.1980801451609298,1.2043526322513676,1.4161165269270997,1.3238537198447886,1.0231306255500265,1.0844120289064991,1.1633190160632525,1.0202241886042378,1.1452326882608812,1.115633806641349,1.0595143480193778,1.216894937969823,1.1316022851470193,1.218576125520375,1.1184056582941986,1.6317751503829516,1.0463783999673273,1.0803031196244761,1.0671277697403534,1.1408298009686493,1.0529957264423127,1.022107947801678,1.3674989315634576,1.0012001378520772,0.9582170463829606,0.9499107030341046,0.9966709429652054,1.0961498565613534,1.0690619144130402,1.137139347170546,1.1159186927660905,1.2394245111387772,1.1898806736991518,1.132327627670899,1.1104025820320162,1.1509061143851063,1.1274027807842386,1.1197187833088793,1.0766359111982144,1.0967676824143964,1.0740337731921246,1.0213493972820589,1.0368720276927172,0.9670942213847972,0.9605058205844657,0.8816660561034639,0.9179250338716397,0.8094864707076278,0.7805048151671072,1.0190505936124015,0.7656913850906096,0.7953129116405928,0.8142299744763645,0.8007542587098676,0.8571108069135888,0.7874559542214732,0.8450869475468925,0.7733798546998149,0.9379300713760266,0.9790223643615585,0.9358555131120511,0.9415667265631683,0.7204358636563076,0.7419339908719497,0.7318798828940148,0.7029664354613044,0.7219084968813353,0.7249691476968888,0.7580504863795254,0.8231104238594792,0.7412253095598116,0.7592163305441268,0.7197056464173253,0.822979627802752,0.7519743198466783,0.7789151139577903,0.8095014483697576,0.7126943739384618,0.7464006871844449,0.7123490628720115,0.7909073732236994,0.900270173648572,0.7871234958367306,0.7959836353937636,0.8461661235756318,0.8900465314044428,0.846249177356074,0.8823222100688294,0.8731268963448848,0.8793590682495201,0.9112132836904676,0.9483596051717674,1.0408552728947154,1.5321862489682647,1.3456855874973623,1.0077819626330342,0.9895228230238363,0.9552492806310049,0.9731122754832626,0.8966286910467027,0.8804501787539077,0.9129572686858771,0.7785365491718325,0.8297875242469132,0.7509979809371956,0.7985074404710591,0.7446400600376035,0.7968383250308693,0.7983358587111998,0.7886915658351217,0.7224589608149165,0.722158272934195,0.7874726898017635,0.8243634862788481,0.8766231348955069,0.9206689948262459,0.9655632095175088,1.0421130197447601,0.9263615237373003,0.9264322713053049,0.8551351041567121,0.8581599417748653,0.842345346356455,0.8092504165665741,0.7861699732674744,0.8949702517651572,0.9153605261837157,1.1840514115200145,1.175157765929352,1.0653202115741147,1.2733811425789008,1.402337179764818,1.0842635998655015,0.9150362433027301,0.8838254916254652,0.8164188565081587,0.8028820280228895,0.7781780607853841,0.7859865895954985,0.8088023844643627,0.7407670262171583,0.7568442201333193,0.7298430873317929,0.6907863423630277,0.6914112289441476,0.7000674113172968,0.7536375441524136,0.6548467325682246,0.6558577699852453,0.6224864986550167,0.6316699525532132,0.6275523746871097,0.6838342951925708,0.7027883147741657,0.714617592665096,0.8198334519934696,0.7521274413998658,0.7906363101338771,0.691631573478007,0.6665103648493,0.7017388385842213,1.740043231178068,0.9758787859982119,1.5297992377105996,0.8058492992232371,0.8406721198416036,0.8778539722636134,0.9822507345499684,0.8069694859513055,0.7895431442587858,0.9446637130779614,0.9811340753138805,0.9366664840590024,0.8148341065542732,1.1562852142244127,0.9645107463490455,0.9059236517826079,1.103141132179889,0.7925360900421478,0.8728841596862167,0.9269928798446032,0.9032204443033509,1.036122742519315,1.0319600229061239,1.0909524632897067,0.9558824442618639,0.8754695382505591,1.0716933814264544,0.9574805596461304,0.7918432147648895,0.8863975679626268,0.9441602041436391,0.7746427111524274,0.7796728183868803,0.8825758785627323,0.9806044515120638,0.7436682449484885,0.7438290719469112,0.7179454417619366,0.6955418543165431,0.7087177476678,0.7367226900218832,0.6454690351314769,0.6696405302663951,0.7260168709941195,0.6668847603477575,0.6872354597302059,0.7054316100797419,0.7361601586405244,0.8721973903105054,0.8016434000707585,0.8232530001351063,0.8839264560270533,1.0119024557944183,0.9581455705064107,0.9093644832946625,1.165941910104325,1.286898486319194,0.9697571398563286,0.8962040982020146,0.7991660748156453,0.6964416489531843,0.9680198230582447,0.8251239149537195,0.9010630831423003,0.9872360394129942,0.8409287026044713,0.750431069997078,0.7417048301882582,0.7090177123241641,0.6659032540061848,0.7332746216750005,0.7693885893747007,1.4947852886903013,0.7496460687777363,0.7046277589941642,0.8506362051106257,0.9806101756474471,0.7204606285431435,0.8411716220367766,1.1265753271842385,1.6896550468129996,2.1015237494595698,3.5536722670143974],[0.7062036269977852,0.5010480426856654,0.4959557057516822,0.35045192011641685,0.3878065276302259,0.4051735495037886,0.38367567283129766,0.4189377049284323,0.40789184154188357,0.4530207614125467,0.4832464604045468,0.5358868823286963,0.5369148376814288,0.5482693870618857,0.6542143895046102,0.6261538551136057,0.6756029491281322,0.687387206997575,0.708102403958963,0.6741379259015959,0.7731364924909552,0.7955105143766229,0.9181419162862579,1.0582867386395993,0.9930193609050171,0.8610216848522529,0.6852284071723865,0.6193732736148825,0.6126528543050735,0.6217007929346091,0.7268837990844506,0.6330045227731683,0.7723477632006842,0.7461687548569542,0.6808373808565974,0.6955970756174384,0.6069570478976889,0.641387504322846,0.6095401875331252,0.5975121746603844,0.6764591427362493,0.6832473477650105,0.7226351758925444,0.7503848354543824,1.0374612154808565,1.4122974779733333,1.4349890313042493,0.8966474296004309,1.313269571452824,1.3030939002703517,0.8351741573927344,2.4029809480969213,1.2089143945680234,1.121048837561085,1.463631796813817,0.8748854690761371,0.917659584630089,0.9367079801307011,0.9177077790180457,1.3851843607647802,1.050015357342709,1.0662495246210881,1.290353427110655,1.2410698248226713,0.8223386908743612,0.8618616396649351,1.0068744399959206,0.750436369743597,0.9684486261646502,0.8052244096779425,0.8589898269795851,1.0508670793202552,0.8846842000758803,1.0675398066069424,0.8387214622291361,1.4783578526022572,0.7525251290737568,0.7588180734498058,0.7358385468762637,0.8332405699416222,0.7019175647322141,0.7114382980513414,1.1431516685834262,0.6715731501006014,0.6804664386995467,0.5980091099777711,0.6433208409873864,0.7203413653563203,0.7326366870096085,0.7660701568639668,0.756185335650906,0.9869766358471711,0.8988775553479653,0.7757373175747497,0.7047824816719878,0.7988399907913154,0.7189554768119808,0.6780023644291083,0.6154269426898188,0.692756040912093,0.6159404432086324,0.5511154942767235,0.5536175225375288,0.5053623454817247,0.6043727322694726,0.4917989806964317,0.5698468270788302,0.4850600171499471,0.44272539068859595,0.6850055824658247,0.38319978984564557,0.4200403814449697,0.41824219644459243,0.4322862662875933,0.4985801315659219,0.46991583326907105,0.5827933388881227,0.570615541679839,0.7577970256769564,0.7377219159280808,0.7147837321766625,0.6730316633648632,0.4719954868179511,0.39764961153704104,0.37100416241619116,0.37383657387973807,0.34846501898641713,0.42850276190489195,0.38330267075960256,0.49730929622503967,0.44254094071855,0.44519343559783575,0.4831350723214899,0.5841068813546383,0.5387126131257244,0.6262706232729984,0.6320561467794015,0.5238761432580034,0.5678465277024074,0.49453712173167275,0.6312765693860813,0.7286472741498402,0.6168778980393989,0.5886664119422672,0.6296859562519951,0.5797286332503142,0.5332239218020824,0.5211380304924647,0.4603840873472797,0.4391119999005906,0.45345523924750103,0.555197050291938,0.7102507418476098,1.5052582272868078,1.128628410800892,0.5808050578340196,0.5148956523839524,0.45957662450911685,0.509535628051209,0.4638676591681521,0.4960819705984471,0.5717349678430014,0.5190841922813502,0.5627007465813673,0.5444517946384875,0.6775711528589166,0.594729754887811,0.7166506024236868,0.6734763265378858,0.661118612764569,0.54967284954463,0.5191279293476097,0.5634946174338286,0.539166436129097,0.5237517717144716,0.5543086879969695,0.571768131528421,0.6722219431904175,0.5731968469995969,0.5791703968984132,0.5537429321502518,0.4989545646514345,0.5446734281859834,0.5330171708407666,0.5593440562251615,0.6774347637099081,0.7118064496389901,1.0368784172392593,1.1146283894840752,0.9627610781800056,1.1962120515662409,1.2967758357982493,0.9865634297943324,0.7901694047843524,0.6980159591600845,0.6314685461041714,0.5677064768178425,0.500211703244789,0.5154071971596855,0.5444579364851017,0.4303679396217325,0.4157919330620492,0.4133213759837529,0.4294142583710994,0.3986750572600386,0.41145530915807926,0.6240008209588872,0.4578858399570102,0.4176606564357581,0.4351119830573434,0.49343189515578373,0.49442140415658387,0.5396976397597549,0.6184980990992429,0.6504447909135604,0.7111446864393779,0.6632155782245819,0.6877961132705535,0.558650401654462,0.5159169366623181,0.59649838408814,1.680032749962144,0.8854211494323906,1.4505060519332589,0.6032309377283348,0.5975577142569692,0.6413589689230835,0.7038019238189299,0.5459738187874728,0.49314792178160766,0.7057612583439721,0.7326341446046651,0.7407722643694811,0.5729688570116557,0.9745158231638249,0.7710931588656185,0.7084584587190813,0.9770007165883243,0.5501583343974172,0.5468472759411248,0.620488072353001,0.6358784092331509,0.7982035501173534,0.8286591304567391,0.8698294585621068,0.6969442894583039,0.6082438206460465,0.8155409829938715,0.705550799526251,0.5136450508460838,0.6385326543584272,0.723888070454403,0.5338103281100623,0.5463367388816829,0.6992517273655959,0.8389519881768704,0.5997594215157601,0.5908054931121333,0.5266708667960565,0.46843836296745556,0.43633205984082524,0.46207791681737626,0.4483655566716606,0.4381668319455205,0.44643866018801137,0.4447317302818711,0.5067127247857581,0.46870424869532046,0.5137925068407472,0.7267322737703388,0.611041445455247,0.6145981222142197,0.6973622800586887,0.8913310957860762,0.8283660275609611,0.7750944354258484,1.037406739958611,1.1851024098193066,0.9070856022477614,0.8067124525083655,0.6874596019507521,0.5775787598164994,0.8732078557871764,0.7346423296575643,0.8548723473484106,0.8878769139869416,0.6855973188993966,0.5456957844399339,0.46410241393550833,0.4100176277714421,0.38679974658455923,0.3968068548041386,0.4195479474471647,1.2716061036285193,0.4200194971411813,0.41042884262408547,0.5119032939895585,0.7449391123108499,0.4288771797403652,0.5785822620988849,0.974624495017339,1.612339944188613,1.9904882048565973,3.4310371257003487],[0.7794651412532525,0.5172827262968294,0.4444709104457754,0.33324165170208325,0.36040033951690204,0.38303491873653717,0.3244259371995344,0.3378372527174559,0.3385291976137028,0.3786508810413467,0.39339740559132785,0.4554581325211917,0.44167272270848434,0.4571348125202019,0.5113977116219793,0.4948174324812879,0.5663898856783385,0.5636635812633765,0.5716079714696206,0.5410549657527386,0.6340557485624486,0.6530753861846549,0.7872163844964215,0.9278709072411375,0.9427848882611013,0.755939091197089,0.5685456167277375,0.5048842319648712,0.49122698120229774,0.5053333134974293,0.5925629954101717,0.5053324716538377,0.622276449257938,0.6042259031393032,0.537910217260309,0.5636288024660717,0.478143107191884,0.5202799872901424,0.4905305910282634,0.49353489841418896,0.6142376864894415,0.5799443932779939,0.5979769144486946,0.6794529666741951,0.9577328944877425,1.3931596707335647,1.328714164226233,0.8018122051871317,1.3425027841303938,1.353633157073565,0.8125923702485109,2.4205903262587802,1.1262519907626496,1.0310448386887636,1.4413680080015137,0.7744126906869127,0.8753144963866438,0.8302055103088213,0.8320964673194616,1.325554656468961,0.9395433916633278,0.9885062796874599,1.2115627817484997,1.0777237282867638,0.6887533256964938,0.7229103967898145,0.8679897334805889,0.6330241337884214,0.865389400882119,0.6652682461224397,0.8221529888985165,1.0041213479913644,0.7697471655966815,0.9511508039868235,0.683641361113519,1.3465172398659342,0.622514250760024,0.6096248414655151,0.591153121996513,0.6983835844851843,0.5509263374401494,0.5966474284506351,1.0953360685465436,0.5625718755843724,0.5721849473572916,0.4834073147510737,0.5081918352532123,0.6091828098307464,0.5691176263041503,0.6263737151949882,0.5952244886623532,0.8365208162604703,0.7578467209868427,0.6252902727363308,0.5740180613428909,0.6598452111522657,0.5897323345439323,0.5575902213459792,0.5192469692085714,0.6407349386820573,0.5205653156245837,0.471152912626274,0.4622045402360074,0.4466474998880943,0.5377769008836684,0.46656218326831395,0.5740148216122343,0.4087467610324152,0.38438697052701737,0.6456887032400406,0.3243669232516065,0.32890655401060354,0.32663336753616534,0.35190885557268287,0.41862927230788166,0.40049392889299484,0.5021328846525321,0.48275809154425475,0.642753854370098,0.6504543220781528,0.6199829604415564,0.5971989379588469,0.40582032506655685,0.34453985670503945,0.31403225410961055,0.32164311257216716,0.2899101948632741,0.3702596532609169,0.3217881055377212,0.41705564231514874,0.3637362022434476,0.37783387749171343,0.39314579340690375,0.5357147035973402,0.463443790627105,0.5595145699145867,0.6098387751833221,0.44452393398932244,0.48200484635645063,0.41761475741365695,0.5423015918599822,0.6119167362680346,0.5599140683472064,0.5130132368186606,0.5215114308357053,0.4739716212175938,0.43472238311839356,0.4301329479536949,0.38059801272792776,0.3659474869001246,0.3917424682934528,0.48409270828510437,0.6772871077575581,1.507681316576169,1.0849221262109239,0.5125330768686005,0.4177256279275881,0.3803726596116997,0.42381205586504,0.40846790693208107,0.4239330635708319,0.4664901888112601,0.43341855087720466,0.4577678683624791,0.47257564211581016,0.626123608781692,0.5207688897654211,0.6395630039792483,0.6346908135280696,0.6264374297652875,0.48889313237936083,0.44425844354715366,0.48494201863786385,0.4440789051110644,0.4195250075401601,0.46755653607060116,0.48578499046233525,0.6152304132344522,0.4799045540303123,0.49060622847539626,0.44929889628140895,0.4203556057609126,0.4423380516908696,0.4511049111465245,0.48046794586424896,0.6463350299004891,0.6960624775705859,0.9410868980685502,1.0980046867608337,0.9160787192691349,1.151684963061508,1.2179817328858278,0.9187294249511864,0.7259990030383752,0.6059581285710036,0.5231836753239351,0.4855110065761769,0.4290865232516057,0.4557733020761611,0.49841846718581795,0.3861688015439612,0.39419823081426164,0.3821290766310459,0.3937572732180203,0.3795917250700057,0.40319858549011467,0.6077788234824262,0.4390205726054916,0.4196842954845193,0.42921888593838176,0.4846482866767551,0.4864021364583397,0.5337800560907232,0.6153676609556079,0.6299807558283221,0.6783514298172811,0.6596450127863552,0.6657287359793291,0.5323444807848411,0.4944384299226785,0.5676874580220818,1.7794799739350913,0.8880690680320245,1.4648322892636458,0.5914133660118851,0.5954975081881854,0.6397497913508815,0.6926467519264862,0.5105874482035777,0.43732789837971336,0.6758261338607463,0.6693051659431991,0.7046012685024406,0.5292129307078175,0.938173113508398,0.7128570678683447,0.665093090329717,0.9455592370941183,0.5070466006461424,0.4786200129547428,0.5644611648096526,0.6153438366378551,0.7678815447302055,0.8274861796256245,0.8452727910579027,0.6782254731287914,0.6092776921333529,0.8233285480060322,0.6965950287700847,0.5033000594492216,0.6446243342600709,0.734107287149843,0.5344095543278988,0.5464507624399532,0.7187061349848546,0.841682071334562,0.6009544056328858,0.5996373388170214,0.5435093339627308,0.4790792224925894,0.43784833771903814,0.45574072784321495,0.44158844145325693,0.429328758279347,0.43327240820258844,0.42335941032682667,0.48086736664950713,0.43940321890927975,0.48007304249535754,0.6867310762960117,0.5725558831564453,0.5753262656523725,0.6435770346525722,0.8534937204861075,0.785788355390012,0.7552024000574342,0.9817866872017159,1.1458302223966328,0.9032771994960722,0.7755663459264729,0.66065072307519,0.5562276614204652,0.8252718680011406,0.7191182627083285,0.8246882772212224,0.8736176628803671,0.6627503380502527,0.521021410937872,0.41732077296016235,0.36859423918192996,0.3748593567682818,0.3778716326121774,0.4120802278573892,1.2960316341463693,0.4038911643969054,0.4011703158905134,0.4990506025002811,0.7273653634944875,0.43350229180771666,0.5813750248818993,0.9573479069153717,1.6038365910288004,1.9910883471642435,3.399068437036033],[0.6514313847876297,0.4881837519136724,0.4303774185093055,0.34007962217128024,0.3562887990099568,0.4020464546555923,0.3116487685698283,0.3117401180551382,0.3475133252164977,0.3787296077383365,0.3818553790705137,0.43654619877133655,0.42911230379834564,0.4390604590233363,0.4848575581510824,0.46288251720252277,0.5441038221182781,0.5262450571350639,0.5459314837319083,0.5152768170589073,0.6215495401036051,0.6507064682139826,0.7547991675201491,0.9213185246238506,0.9904866671079217,0.752919668329257,0.5545234873475933,0.4744055650822373,0.4579001727995505,0.4704830589431401,0.5628003081540647,0.46426595571754037,0.5794324428855094,0.5801275679518332,0.49463228374250956,0.5270304284858063,0.44520497840729284,0.49528210252224697,0.4719952674594705,0.4548949845135231,0.6134710090798494,0.5715725515956765,0.5987792657659149,0.7008239841292393,1.0202607337263245,1.4564186443366745,1.4310915963330608,0.8326422193480294,1.2566225357590943,1.3773084882922142,0.8232043651190584,2.2902989812598564,0.9952676347262871,0.982581311224712,1.5225231291282681,0.8243503552040123,0.912695426862775,0.8135204853541383,0.7596595080688039,1.4184068193762371,0.8908472605714454,0.8966832524670889,1.0838325014436712,1.051531391392682,0.6992872978989798,0.6892768416411955,0.8528460256249077,0.602254615760197,0.8403068422292281,0.6530440986720023,0.7684540244752438,0.9662478279800285,0.7536110397970318,0.9473375994461217,0.6714571715717402,1.314316730795326,0.578239047434193,0.5770062335414082,0.5484456187726643,0.680719909003309,0.4981396044992536,0.548358236931623,1.0605404439984607,0.5153564346798511,0.5418792691749623,0.44137174051108125,0.4643127959961321,0.5730358134629308,0.5360289349552254,0.5998796028131663,0.5781764316307485,0.8391029641330134,0.7489359422722199,0.6020172573468568,0.5491993236267237,0.6427144188953287,0.5687059868248292,0.5313552199985746,0.4941574684430963,0.6141357526152805,0.4867416320985808,0.46474289529501717,0.43642329191682383,0.4128820147447092,0.5270862914424321,0.4593925756095154,0.564070707534276,0.41332906189002827,0.38800232562584663,0.6471200562330661,0.3287344103968029,0.33979240064975785,0.31117384251944136,0.33286870618731,0.41344068284034274,0.39378773188981603,0.47758848853890956,0.4699536346930114,0.6424572356327516,0.608091455433421,0.6020333598619111,0.5778029210784658,0.4318900370733208,0.34341921600559294,0.3160570930428808,0.3293690747555318,0.2882131997247166,0.37571539434029716,0.32476382732863457,0.4313959142387296,0.3933174621580415,0.40091746685725504,0.419654786765309,0.49414620691166206,0.471427584397621,0.6201170490872235,0.6136894859562492,0.4697294718668526,0.49342870402790123,0.41482234728294853,0.5261713013057435,0.6365070641019936,0.5583438456091371,0.5091382455953745,0.5348959797380793,0.4595485273857952,0.422189668073955,0.414709623225639,0.35849820471161786,0.35490712647986783,0.3819309941843452,0.43593480203829654,0.6394812950691009,1.4195651592995626,1.0255649451828317,0.4735019561368724,0.38716352670427046,0.3609138458877697,0.39769481466290546,0.39151179351160986,0.40198612758456864,0.44512336644814327,0.43020150201604435,0.45091552319089145,0.47393034776527276,0.6325572305184703,0.5334772895408902,0.6955019294808366,0.6901057559277761,0.6627890865643623,0.5072622142854544,0.4585885052260861,0.4858721240623849,0.44885422472911213,0.40736100344266796,0.43253594217299934,0.45008870785866717,0.5748480335638405,0.44923903055026326,0.4503389334350343,0.45151086013066655,0.4100058907444069,0.43289584343334137,0.4598117782247249,0.4817482242644229,0.640035865302838,0.6937236193854714,1.0035397882647963,1.0747229333390538,1.0034164509821946,1.1621827437648224,1.1684304214090375,0.9424826235732429,0.7714150545645475,0.6732737408759144,0.6005787536552467,0.5279726193253833,0.4814525286324866,0.5016989342639339,0.5439686737643001,0.4205827120845642,0.39640804217287806,0.40241688000866244,0.4254681441567244,0.3923444090821463,0.40261952209743185,0.6141526892364453,0.46099300904400736,0.4307359656346222,0.4486376537341394,0.5143159777419654,0.5203430923527793,0.5571228333417854,0.6259724797227432,0.6734023389321012,0.714165574849961,0.7123556427684897,0.6993293714231431,0.5651602225074054,0.5377516836627405,0.6369112888227407,1.641477790414302,0.9413125554964646,1.453748922321105,0.6039052344606822,0.5721589026008996,0.6279967270954132,0.6747670136202757,0.563655103243344,0.48438352227244613,0.7084913146232075,0.6857767265137961,0.7369687390646192,0.5725326102057933,0.9180852232730997,0.8099282159585521,0.7418058953265018,0.9941449656121756,0.5681093908905468,0.49889204423960254,0.5555019608163327,0.5907783492566514,0.7239971193542475,0.7835815212488257,0.7885310792171258,0.6328957976158235,0.557450256735778,0.7509733148276306,0.6482099017711943,0.46981966382821183,0.5969725301110336,0.6979387956825277,0.5159461413075099,0.5277116351798089,0.7142092046890035,0.8558296960555453,0.6065356792410225,0.6057437768730307,0.5494529335261292,0.4887328388886824,0.42939779352804003,0.456312258208413,0.4811854862500749,0.4633886879440735,0.4653428664548838,0.4764770973234449,0.5345425604491069,0.4771542204891252,0.5226079207823728,0.7489470015470506,0.6045460378435884,0.63857737517747,0.7048080434712528,0.9136878794096166,0.8270281607712432,0.7890554880528795,1.0299664926580232,1.1683713294278029,0.9525490500741643,0.7956925896744427,0.66592132282376,0.5612204775953624,0.8061994928012296,0.7555644177022177,0.8890748433994323,0.9142333898154003,0.7013148778597276,0.5527361481121174,0.4560900914609721,0.3689299588332933,0.38963281657309,0.3771012579246944,0.3724610537081622,1.1905502937428125,0.37184202334532307,0.3735649698446524,0.4312396288247084,0.6664104958072009,0.37308114025212724,0.515395760632743,0.8654541340045998,1.597778188170232,1.9309830635359682,3.189237576653807],[0.7895896167042019,0.5241877423224605,0.378671170337765,0.34006809458935733,0.369600231948422,0.3754796105352619,0.2568875447980579,0.2657760472591995,0.2614507426038723,0.2924624968999097,0.30793479626382103,0.3628327188931001,0.3238527029254541,0.3498867592252685,0.42180665208917134,0.39134487314266286,0.4583040563213425,0.4665633790697023,0.47943341378011956,0.4415389164637739,0.5409448690227077,0.5680883066537121,0.6903061135695955,0.8400917246733902,0.9107590948403054,0.6741888290267017,0.46727499899754305,0.3983830630942347,0.38351213197773576,0.3990906000964893,0.49031195025614316,0.4068619647786403,0.5181612831583567,0.49811169209241557,0.4265513482882813,0.4417016697503922,0.3898062057478387,0.4207966354648919,0.3898276469930224,0.40062411568051515,0.561024594804302,0.5023111988968529,0.5170143738388987,0.6340045920854821,0.9172309167803758,1.3712300561747346,1.2850631427361479,0.7313622910853825,1.2554962673740375,1.3466982440326425,0.7590987832967223,2.3014899408261846,0.9733983975668995,0.9176524640188437,1.5189487941297006,0.8094384023127907,0.9473386118591341,0.7565918680815146,0.7628680008710058,1.3636578641127017,0.8516781613624037,0.9185796502936395,1.1193885468365503,0.9817565186068378,0.6303320924044162,0.6186028896175497,0.7795266746188049,0.5486093669852427,0.787271873736385,0.6025429411863499,0.772888541148603,0.9880949561094725,0.7469870384638938,0.911563180650113,0.6026435085809843,1.2750448227578883,0.5322614579295868,0.5089910553570195,0.47647591899246805,0.5891869601733716,0.43766170307650804,0.5397787220215036,1.0315751899030878,0.45947104245416964,0.484708217603715,0.3849795169954264,0.40732941572475506,0.5418927879000973,0.4354164729780864,0.5303366555426289,0.49523132490131705,0.7330608447525415,0.6506915659737657,0.519115499025032,0.47629062747156153,0.5636265154563884,0.511622216750925,0.45249222514857995,0.44658733799103495,0.6242127707590901,0.4396435102225227,0.4428807523828052,0.37781365320787264,0.383547896978792,0.45857892757897273,0.43322396505834143,0.6040746561074939,0.3943431860827266,0.3782362435302295,0.640913372999871,0.32115450410731017,0.2763859417076166,0.2544878624874115,0.2863283821581512,0.31544104824200253,0.31720541765019167,0.40905120200532946,0.3842304963366133,0.5735549527728374,0.5552988833011654,0.5272397899299145,0.4774143112927766,0.33460147248953614,0.2932985186235411,0.27269669061447754,0.29820049451026726,0.2879394116104946,0.3212792199405846,0.3025541434075023,0.380722581325838,0.34554835887852436,0.3839439362498892,0.3349631713188048,0.45627663433921617,0.38972371228283625,0.5070205539887225,0.6185203565385355,0.36856317333217764,0.37757719545291796,0.33176838353902827,0.46479342143925795,0.5584780427000359,0.4819930920751291,0.42201150051441955,0.4210505409084403,0.37711904751943115,0.32725580279795125,0.32990577174326496,0.2880885236314717,0.2945357411671449,0.3606758625169782,0.40251331962495446,0.6447939841281318,1.4880117743060406,1.0184633507925247,0.4657357082644414,0.3418375235077079,0.3309852580815389,0.3284742509638234,0.3616741713483752,0.3494001219250408,0.35416191916170214,0.34696952125403996,0.36886563809189804,0.39247307982088425,0.5914856357466335,0.4767460703236417,0.6409114301418386,0.6439309707370842,0.6313710905932439,0.4670310607857492,0.37854260276097834,0.39567753741815986,0.3615494125362379,0.3335499261671622,0.35465051310631024,0.3976507013159902,0.5553630880076109,0.3919513872186352,0.4073931504836972,0.3635092702570469,0.34026684093951926,0.342612269642258,0.38233327341838574,0.42198553458869204,0.6502754921132089,0.7041175757992654,0.8789838490570363,1.0568638081677213,0.9589362369522463,1.1470371533696824,1.0840307823247366,0.8440260272946626,0.6604245079508605,0.55061095899337,0.5005240252106443,0.48408590566978515,0.4129632530527222,0.45134951645623805,0.5030333168992832,0.38765458656387486,0.407886298169983,0.39276624563829715,0.4062116324980657,0.38951370023552734,0.4081891789816796,0.6007487148272401,0.4307357021019319,0.43892461506607505,0.42355765365438497,0.4829188432599707,0.49688266826553784,0.5389505768351036,0.6030532625535395,0.6339162312188508,0.6494130946380358,0.6729139221971152,0.6584823949505875,0.5349799509706403,0.5104575251899794,0.6028632632223081,1.8075328960265824,0.9299234737998393,1.473608677190308,0.5798396725412364,0.5931977805819072,0.6574571837750277,0.6790154998422526,0.5345506558808975,0.42692355174148267,0.6711586382385495,0.6141751632548236,0.7165006005979977,0.532586623564068,0.8872142988639338,0.7544183262010294,0.6894466140832062,0.9349902439016717,0.5201333070059686,0.4604175355014757,0.5454501361663964,0.6089167956700168,0.7622874695920352,0.8616240890678832,0.8410999707075503,0.6885303198341372,0.6308538490801981,0.8274945163068369,0.7255052052252977,0.5141144917768147,0.661739989568628,0.7589584186262771,0.5437878645128399,0.5784918743072174,0.773190768408747,0.8516321065651279,0.6196557989787852,0.6366169702001055,0.5655292334023682,0.517839720457984,0.4734018609039982,0.4810989779616516,0.4784903608681334,0.44884573316218823,0.45897363664795404,0.4349113369542303,0.4773315086779381,0.4390344112146562,0.47845408694335656,0.6639593724248654,0.5523862713756947,0.6030533896317529,0.627537644845711,0.8876689553034285,0.7740805618976618,0.7636564383077861,0.9557653616208984,1.1395736190155987,0.9502468936364544,0.7741536013391846,0.6445218246340318,0.5438192921977574,0.808550310875097,0.7719408507266354,0.8792206132000789,0.8967123370977605,0.680014466552764,0.5506142901294448,0.4209407313530548,0.362029170450113,0.42682194842515453,0.4171850829686796,0.40823063843712093,1.2641035407362222,0.3971927594704264,0.3882294924752666,0.4686987515677957,0.7046863893946455,0.39259877408605137,0.5300549398334155,0.8659393106194749,1.5934263037861123,1.988566661367628,3.1895322563752377],[0.7174244763884783,0.5583112732410639,0.4391598957739892,0.3501625779529805,0.3986760365926571,0.3795021490035484,0.2686372573787612,0.2847302217122568,0.3287902688409043,0.337242862996788,0.33077096666676997,0.3597796374692894,0.3645847930006338,0.39900857766924863,0.4401632664733014,0.40339840583489556,0.49180539688287783,0.4956121508224401,0.5477712402886192,0.5223163043199461,0.5914192975094071,0.6253557800828495,0.7410546620038411,0.8778905898264441,1.0988010951623999,0.7819494895779396,0.544051644591968,0.4672608409283106,0.43530993741065555,0.4174314545411856,0.5127769553707482,0.4111281070755708,0.4857723233181776,0.5165358788502634,0.43682635205082887,0.47209855962769126,0.3999137744805444,0.46421627079691435,0.4463045192225149,0.4443580069121338,0.600722110450733,0.5262447702193443,0.5419811522559037,0.6686679403966386,0.9872915323028976,1.5115899183365153,1.4230465285295175,0.8024135537287631,1.2611998891096656,1.4797571982592401,0.8419963528748742,2.241031702551317,0.896573490672997,0.8881823254450117,1.5921128057285363,0.8551398454574491,0.9765560183839427,0.8057894345910432,0.7655193613494189,1.4751268914330942,0.8615241143176758,0.8782965697420771,1.0300869484056456,1.0017356794943508,0.671835712970038,0.6560549037015945,0.8321094316923663,0.6014730392736043,0.8328080262687045,0.6428035095572446,0.7920442876240262,0.9802682215064843,0.7583814460899433,0.9212588909381688,0.6475252918681512,1.255800883047406,0.5562556446566834,0.5323737738358677,0.5136452611301816,0.6227773715518737,0.44720475339937615,0.5088329487293015,1.010708597243511,0.47321133860086395,0.5172203755936905,0.3975981385652529,0.43636822802391095,0.5278198355302878,0.48746312991950863,0.5508250903728223,0.5199939835091859,0.7694068726514716,0.6710815702369259,0.5243752733898993,0.487376165000278,0.5756728793665483,0.5272774478087217,0.46416411662695617,0.44521741236053125,0.5981776523408812,0.4354218174214852,0.46568063719642977,0.3791316538486849,0.37586368091365174,0.47390515165062314,0.4669197043884266,0.6093151077790826,0.43127513606828227,0.41456595630554605,0.6494896972486836,0.36469160978927645,0.32798969092221947,0.27463447149371056,0.34693509030196806,0.38443914606027696,0.3803855933896096,0.48086806072448435,0.48477504597952453,0.6453080185281596,0.5685761016389285,0.5732302586045653,0.5471950348506481,0.45655304960900017,0.3595847947855051,0.346506691988628,0.34518498716980484,0.31043647285297626,0.3565578279347525,0.3290490054934006,0.40647964372508,0.38006344178906104,0.4112087162402729,0.3816839289311694,0.46642168105161447,0.4331149892402898,0.6246000536673998,0.6177562369043402,0.43257917907101767,0.45878249838880475,0.4021722438641166,0.5330691180455062,0.6295661897609702,0.581119853672174,0.49430059247668,0.5208304362967153,0.44865046709999395,0.41143766553862926,0.39379961031734023,0.31898543298566256,0.3458840567941368,0.37722139245195324,0.3633675951016316,0.6025917972156767,1.3204627005526672,0.9320340473982949,0.4351170830779243,0.3411946732515025,0.33531337030442876,0.33660542238623514,0.3729208502524675,0.36703712876132644,0.40932359171740473,0.4110816457716205,0.43799639088286835,0.4612943286391274,0.692767984911046,0.546462038015586,0.7250281023236883,0.7116288976724636,0.68603620129699,0.5061944856819094,0.4488470838939888,0.45989381444913024,0.42662809787603384,0.36742908906312344,0.3701652834035515,0.4088516704563383,0.5410760301337916,0.41945648723703716,0.40347922719024043,0.4269641369095918,0.3779396347169605,0.4028596748432047,0.4307748064971987,0.4574539140063345,0.6534753512833591,0.7235736339140607,0.9926645560781914,1.074399486982434,1.084230853647174,1.1495576115572954,1.0168424964810108,0.8725878854388894,0.7121962617898009,0.6423778752379125,0.6032281904266775,0.5367988895582052,0.48366101190489236,0.5185159503703232,0.5571670533392203,0.4658315317710875,0.46485524871683365,0.45492960687117456,0.47686932830942463,0.4681885251253174,0.48608222087604214,0.6464902388088775,0.5145923985852998,0.5302860674215749,0.529312700462621,0.5936676629037017,0.6250632986246135,0.6706598191411057,0.7098895769446986,0.759451491037416,0.7611890230677801,0.8042585736106568,0.7616701528065162,0.6413963450985635,0.6376781813533757,0.7368404828208801,1.6427266549669224,1.0544415505634244,1.5021702569388193,0.6484410386579542,0.6190453268434291,0.6806473211083084,0.6951282332919456,0.6184979032990848,0.518964346151262,0.7221608488240648,0.6874753009140067,0.8049005919074778,0.6248576576489092,0.8566048204795563,0.8989094425853148,0.7906433357178462,0.9813752611923695,0.606908008889211,0.5221125340012543,0.5755386866852759,0.6321433145732802,0.7635929827104642,0.8480322874393055,0.8120791325151892,0.697783781641737,0.6519059210858775,0.7939070648816423,0.7365959271345655,0.5551065066096667,0.6947910172805802,0.8026841365044876,0.6153204866424234,0.6531833129346534,0.8400619422332629,0.9422869518995335,0.7077473649841355,0.7241333149513899,0.6483246385090409,0.5987670742779978,0.5308940703308344,0.5453564289938676,0.5852771986116366,0.552090433026708,0.541588319496422,0.54615461439684,0.5895258313374983,0.5263022288565407,0.564777875354763,0.775636811749669,0.629021123433614,0.6837963004161195,0.7061628487889028,0.941749112986495,0.8262270854386318,0.8021317487780785,0.9944113252032926,1.1520843295833496,1.0253662053346673,0.8378202078983092,0.7075293720916785,0.6164408674795759,0.8299747651123919,0.8209497664810365,0.9315415615132537,0.9226454798627227,0.7284093243109718,0.5822203237333439,0.46952436347650145,0.3795106199904382,0.49001578528466117,0.4629118212051707,0.4435350575712304,1.1412677658282606,0.43109166998685994,0.4561047628127463,0.4873919025721957,0.6674451999716581,0.4006800761899788,0.5591912021695208,0.7513941800871875,1.5376407095707993,1.7916614193268752,2.775512530494174],[0.6871809091413433,0.5241687312338851,0.47938444171159517,0.36996825472481953,0.46579394210687297,0.46350045582158167,0.35840484727103417,0.40957226275995906,0.3786306273737002,0.3696394528209665,0.3631794125319024,0.43679152606927835,0.38339891291406847,0.36939198657036165,0.41719802801172995,0.39564441816730295,0.4602398401410419,0.44746569017917354,0.44001099079937916,0.4072108586873422,0.4440707109985903,0.48970684905125306,0.6368452208106895,0.7782721949831067,1.0165520914430883,0.6339766676258227,0.41599771824428666,0.35830856135602696,0.39371880733383413,0.41272875904743545,0.4795645853624931,0.48315302632110196,0.5034776053861416,0.5108829261317824,0.4630918154638908,0.4104822572928703,0.4494645573016486,0.41271067128325156,0.3635107515538826,0.4141692048358053,0.5499964744784647,0.49578555101496036,0.51438368879722,0.6833837339654607,0.96051100309272,1.466657541211405,1.3363738805644543,0.7303031608631536,1.1812313217531132,1.458209344163009,0.7725026684284612,2.0902785031803175,0.7745367019504145,0.8070981819989977,1.7707051047567395,1.041311502543109,1.1711283886508244,0.742042555914104,0.7704686078126763,1.586297429043359,0.7149384137180284,0.8073530414541272,0.908477803373798,0.7652049142308007,0.5519159510307845,0.5397030571556256,0.6760896260249033,0.5056422413810587,0.7208879124064502,0.5761165035140192,0.7809865044486671,0.9728601194352022,0.7273035676634463,0.8318447127544976,0.5780333405011341,1.1595676593942468,0.4979274227903562,0.4823446202872293,0.44901817351055756,0.5167659489784004,0.4652671469203191,0.5897431476731557,0.9697518477969316,0.49070358662557206,0.4759662303247188,0.4301504462615778,0.4436057240932331,0.5608995250989218,0.3931684163531952,0.5460426348213206,0.4622063693274215,0.6795084558559739,0.5922957128201374,0.4853253488383923,0.47752440792676637,0.5243012642136113,0.539862392276049,0.4857648798248119,0.5136707813681659,0.720776732908706,0.5357218982877751,0.5799781752279723,0.500161260250737,0.5646465163393632,0.5675931246917715,0.5675384356637555,0.7502816960062846,0.5389155755046124,0.5343739178312358,0.7423729542447328,0.505684156521321,0.41872384042230715,0.36726123806839345,0.40151025021828884,0.36681688907565163,0.33407939490744154,0.41690461417280966,0.35654575529497223,0.5116643426908567,0.4831975897082591,0.4734286150768465,0.41623477395440606,0.3391176332532099,0.31943309382782825,0.3743309558005794,0.39883482505228884,0.4426869389956139,0.42227305997041825,0.43569205201864664,0.4649822107691847,0.45300896681790076,0.5184538962658031,0.423392070128216,0.5128383392289368,0.4119645432077074,0.5475522500590054,0.6414572250005364,0.3973628540747337,0.36139128291613265,0.34944824521165846,0.4570750196113574,0.5391964802735963,0.4678732089823467,0.3807397284873068,0.41071842387293755,0.3609978213839803,0.34375141585202446,0.386677686279333,0.36199881378785087,0.42147900551159795,0.5011463976232973,0.4769213783125498,0.6909802750621623,1.314128693515412,0.9387939996999839,0.5548151964029601,0.4673434218380872,0.49487804678131747,0.4330968581441095,0.4747172694685501,0.3942041357223972,0.38281958726951476,0.3798111595714275,0.38538246824137296,0.40908875546902307,0.6235942032419061,0.49660647487273385,0.6846339370860438,0.713342936061555,0.6835338493787232,0.5060151009624382,0.41051235514776346,0.41365812154405346,0.40932116669687074,0.381577617942959,0.4229740257968378,0.45175811355471446,0.6204270406612681,0.4354906128409985,0.46692227156453975,0.41364530387071935,0.43576111289958386,0.432178775518011,0.4616825947861843,0.4911185436884165,0.6723327940274423,0.7617105857093821,0.8559725962747079,1.0162270759920728,1.0819588470754655,1.1327486105721287,0.9199772942873258,0.7474657818978232,0.6343306838500571,0.6286945825165727,0.5999707681921812,0.5605369752108779,0.550040586780202,0.562768496788752,0.6349370811806858,0.548960414772435,0.5783464194720628,0.5615726210035643,0.5283335174283529,0.5381597443793599,0.5637591729428358,0.6521606488190085,0.5317602544688682,0.5854606010017115,0.55210361998229,0.5787729560977237,0.612801842492723,0.6731364290896776,0.6783824900793834,0.7159394019719028,0.696309551158965,0.7813992579209926,0.7182389440401151,0.6185327194529452,0.6309242641263131,0.7168548651555728,1.7075595439016027,1.076297818698718,1.530217553383586,0.6718765825606424,0.6750825377243097,0.7644267511409747,0.7483155340908448,0.6712677202346603,0.5675426856355155,0.7816346448044711,0.6947876106040624,0.8438636915369747,0.6815291645551067,0.8712048142923751,0.9049365348822546,0.784780862537498,0.9721407870554698,0.649920819135945,0.5975717505261013,0.6486596759785679,0.72386831004083,0.837992004855967,0.9661809968084382,0.8963309423521469,0.8097208794579772,0.7554621754363594,0.8801845017686191,0.8586477949544407,0.6564611401419066,0.7936498053123253,0.899438694264867,0.6884846658539963,0.7255288428411476,0.9165597951552493,0.9887068905531153,0.7457026615137019,0.7752414901206447,0.6917912973685111,0.6594956883047678,0.6100426346761263,0.6024214669366299,0.6060966806586329,0.574146903588661,0.5745546038597416,0.5453654234732843,0.57225127999111,0.5400013795495706,0.5761600910076644,0.7436457576181362,0.616341313992358,0.6985548168729431,0.699813219160934,0.9669234401114163,0.8191208315180835,0.8078888907112087,0.9395207806195005,1.0769044034515007,1.0502015583340092,0.8286421633551776,0.6776637643316615,0.5987847174376723,0.8306255924266492,0.878753111674759,0.9696107448018966,0.9683686993465244,0.7597277698063948,0.6471493408349784,0.5381703017495529,0.4880804968433321,0.6439730159097834,0.6116907563644145,0.563956562811805,1.1576418273313158,0.5642209597251425,0.5464915469136798,0.5931819430216471,0.7170217998642295,0.46207420205559196,0.6041417012388028,0.6952602322657803,1.4828345066571376,1.7949534008858739,2.4602523710235813],[0.8279214188436788,0.5762051482113073,0.5338458731809032,0.3421190898954517,0.4175515564581414,0.37426148116689345,0.2596257170445006,0.32235851634230667,0.32167386030020084,0.3275597802575584,0.3516127092228545,0.43021953789288314,0.339491807479654,0.3413180405768953,0.42843805921511613,0.38866410892568365,0.44045611333196755,0.44934541316732396,0.46257121352287717,0.42117905922869864,0.5103204407325989,0.5419738348676534,0.6284559226037779,0.7714469499449524,0.937893489748756,0.6286341214355451,0.4102877030605038,0.3590365458061906,0.39196986853187854,0.3899361125587939,0.4906501475727477,0.43713713806631377,0.4891839579136302,0.5026185336929021,0.4328884580327179,0.40684116936362746,0.40354341717601655,0.38771212594488236,0.355358779668543,0.3676860070300436,0.5283600759781851,0.4806778468800401,0.49110550313569146,0.6084499612953387,0.8859567891112761,1.3990004737572896,1.2285617217656375,0.6918885348897701,1.2306589049205998,1.4222061043008511,0.7329555450532173,2.232033766011881,0.8565083896869934,0.7996586254847132,1.6417869087033,0.9532408655409097,1.1227840453354851,0.7035816558887382,0.7800581266192503,1.4641773387266646,0.8142549214028748,0.9355094495205709,1.06401600995161,0.8760789428317366,0.5699574141586038,0.5723527662435879,0.7378602176587897,0.5542937557464231,0.776687138438468,0.6243133455441627,0.8297414394994076,1.050517735171559,0.7896960639780717,0.8859783864466644,0.6226915099344246,1.2214682734550504,0.5284686831538873,0.5046787052981777,0.4434248491897611,0.5175443072916797,0.44179387718393076,0.5362678267322911,1.0389330274059096,0.45636034708561474,0.43519662494343525,0.3781460050935706,0.39530060135881306,0.5348542182208857,0.40141565596546996,0.5328885742765863,0.4989302194220397,0.6823018417937772,0.5967076645626823,0.5071454020123376,0.4736892352072113,0.5649320568320545,0.552215588347819,0.47526114025389427,0.5002531041847187,0.7179715886200463,0.48915407806080297,0.5500291589605715,0.43260818945610824,0.5011568961909268,0.5091289019200061,0.5030586485755106,0.7394993207470948,0.4542945944915758,0.4737148941101018,0.6867283487861278,0.4118896867493214,0.31953784219899306,0.2676214526379352,0.33087087917995145,0.32146448247270293,0.31028098319055925,0.3992912454858158,0.3418530322201703,0.5328329606745812,0.5181620177987658,0.4873378547682473,0.4310623713237171,0.3191361228793469,0.30017795820449905,0.30790612853824856,0.3431106544870973,0.33347034627106314,0.33785801623979744,0.33877322611860805,0.38462591932586415,0.37898246789614654,0.4614256205823451,0.3500858921082196,0.4756518371021013,0.35757259117104007,0.4817917382914496,0.6012446788270054,0.34793432363601984,0.3499318369358701,0.3076821312196017,0.4221202146290129,0.4895071741253922,0.4496452698154788,0.3704635806160569,0.3919050638239653,0.3591711721648558,0.31070746886368694,0.347986802985733,0.2771387816042185,0.33347685260486015,0.4078006865323616,0.39501300313219345,0.660903346148681,1.3559044324877034,0.91524095084509,0.5175708286486331,0.40233173913235304,0.4133359642967554,0.360509267695979,0.40645076242815653,0.3330685834319026,0.341887356421497,0.3256740358348667,0.33006889211738266,0.36497888723416294,0.592457486791447,0.4562491945309497,0.6302645330021633,0.6714788812489152,0.6534266329984278,0.4675129590627018,0.35519128862349886,0.3674112267402067,0.3493749820062643,0.32195332384366776,0.37571896231444657,0.3793380523579939,0.6076806454257653,0.35804099770519093,0.42240152417399446,0.34619068390298363,0.3784716703113561,0.3606801281230646,0.3989139734943015,0.4228054543510735,0.6326025735969397,0.6780988016625809,0.7671354221361182,0.9698806233067327,0.9781735552706128,1.0876814799048844,0.9440610897406355,0.7169070024214909,0.5937053722153532,0.508741252091685,0.5180244263847695,0.525844808666175,0.4643785748051166,0.4820043604362854,0.5525922339395819,0.4814089043408284,0.5178196203084589,0.48751771472788813,0.48362276075536176,0.5032326558587391,0.5118135602512062,0.6425174227853365,0.5245836991622129,0.5768113726934618,0.5280468484717136,0.5737254212295392,0.6166121355406712,0.6515365897012775,0.6874381906657704,0.7145360925560857,0.6796947422942411,0.7799821697873748,0.715967134532228,0.6015964955700476,0.6344324346489859,0.710072522986539,1.8927991550384107,1.1160882641549172,1.5798612575782534,0.6845274107301731,0.715393577470571,0.7686081464191585,0.7392297344072536,0.66370251097583,0.5482533997588406,0.7661767318253131,0.6512142694955255,0.8120720008630763,0.6392825922777028,0.8713300865209123,0.8169131993905621,0.7236544127291562,0.9070210636597191,0.5763908626896713,0.5255819852352935,0.5951998732091299,0.7028039203360843,0.8215586266877406,0.9816563811273805,0.8950861948583481,0.7885770049620727,0.7535080029605178,0.9156395873439098,0.8458361886514695,0.6429744374383858,0.8100782134051231,0.8983976725154101,0.6671524306196025,0.7435782144919242,0.9496503399029284,0.9676516258203571,0.7603535140877089,0.8102185094834964,0.7261520860979724,0.6862211870708939,0.6285843229617859,0.6253061438272384,0.629065431610293,0.5833393277573058,0.5934503322435969,0.5563946256859265,0.5771948015260767,0.5263039546777931,0.559589929010809,0.7065498818010377,0.5915337743986913,0.6429834086374264,0.6622084571977629,0.9435926781496753,0.7868937753144083,0.785882791771186,0.8936563602378863,1.039202888764892,1.0991897238194457,0.8235885319700087,0.6657474990411641,0.6017124511307461,0.8496287551867775,0.8688435596498547,0.9430121018710937,0.9383119584126843,0.7172230036627613,0.6074483482020581,0.4628886175872375,0.424389711602515,0.5845496172660799,0.5303682008355256,0.5166234334817624,1.2539066048632677,0.4948396156695429,0.49793425393111285,0.5602945902697832,0.7116899918007548,0.40483951646852484,0.617731741640117,0.6922386258214479,1.5288687263880556,2.0752826668548545,2.767148926751372],[0.789192057778768,0.5264472598026698,0.5727807754460119,0.2905755941837628,0.3974080993310581,0.3572745349732924,0.2619513081468401,0.35844246178496647,0.3391550796331789,0.31569332712928927,0.34786539280309564,0.46882319640487713,0.34339057884553714,0.3170674817209056,0.408112248834366,0.3890145605044327,0.40080424525762026,0.4026750044641281,0.3988115799105838,0.3784634005535267,0.4280871968103025,0.47869062850981864,0.6018849816831426,0.7183815966948679,0.9762587394783764,0.5755847119633659,0.34422644594367996,0.31616228095923354,0.3696083793062529,0.3741780279010207,0.4574459257994255,0.4629469934008506,0.4885751952705195,0.5020674422619142,0.44721771470274185,0.3671228804300869,0.4173882764924424,0.3655341639509161,0.3102904531554767,0.3623418539058526,0.4896708760347794,0.4478174453979145,0.4648422859507526,0.6024295158908544,0.8624345235630347,1.4445031124545455,1.2368778276847188,0.6473384185708192,1.2325941078947502,1.5334389797663774,0.781612097343988,2.1561470785085968,0.7663840937365187,0.7330005247790002,1.77240093287584,1.0655889636568605,1.2258337830988513,0.6940343163001298,0.7787742505173972,1.5556905718140603,0.6992494126337881,0.8683596273900878,0.9278014186361266,0.7417472962801239,0.5194255512581644,0.5078123038295067,0.6576279874405881,0.519370772919609,0.6925293881434511,0.5888789372248231,0.7981427476998024,0.9876743476540079,0.7636666964419262,0.8132649919494307,0.5766258383580823,1.0903857732570614,0.5021931703576887,0.465589285761182,0.4151898439927613,0.49443354692310604,0.46198581098142844,0.565462876128527,1.0042629743152676,0.48809937518386837,0.4367972631770793,0.3953309078711196,0.3981945316354276,0.557583011346575,0.3722154208540486,0.5269937725519306,0.4582244425718885,0.6116800767604083,0.5391453785960901,0.4679091573726852,0.446984293036511,0.5257130471330297,0.5321975469230764,0.5066813242661472,0.5432166843979899,0.7641750510962247,0.533714202266922,0.6203352888503052,0.5223556808842008,0.581686487661864,0.5601612550594821,0.5522885244888242,0.8304687659129911,0.48616993951200244,0.4998593368168187,0.7046284261737504,0.45478235494983144,0.3486750851377402,0.28752729876462435,0.3299897081879001,0.30036965726391673,0.27633226745156125,0.3977820851557915,0.31169886070443753,0.44379145841415896,0.4371550769436926,0.4059126419774523,0.35748811425481125,0.2926058681355112,0.2605867337012983,0.283655166947112,0.3388549701193273,0.3454852704061469,0.3494831442309992,0.3652480076001815,0.39780815384742146,0.38327522677743353,0.49682037142244007,0.3735826274269179,0.46293985578507385,0.35952766310081574,0.49803574143822127,0.6160398541352999,0.3557588699742117,0.36556927624802216,0.29655794558553517,0.41473061046804727,0.4580930728917535,0.40406502809670974,0.33203131041618267,0.34532747788095736,0.3075451149195808,0.28035806901940596,0.3280387064247353,0.30208252591168505,0.37030997265674626,0.44725474187347597,0.45499776606129966,0.679002604371643,1.2686708254712853,0.905445113377198,0.5850811906912307,0.4713075688815022,0.4990517540033302,0.40515333847147955,0.4557718545359667,0.3278446343186766,0.34552450700481374,0.31414688138673513,0.3166336984908852,0.36171221883558907,0.6247557549968562,0.46544247016365864,0.6482905880964066,0.7016392291946607,0.6807855633340328,0.4725793079968983,0.3447776187764622,0.34839471458764265,0.36593760732870595,0.3525656572306513,0.4074703576698859,0.4181469217322199,0.6437338020381976,0.4095772899754867,0.49562795763896067,0.3684836226371571,0.41575661562778954,0.3918238656842574,0.43719440957764544,0.44923793720107696,0.6469750479612041,0.7084506989200801,0.7684265381116926,0.9470712752986461,1.0339961353935885,1.041161482338986,0.8347042851671019,0.6693597379376219,0.5940787611251674,0.50354420148419,0.4990598937170004,0.5197175704598704,0.4589331961939557,0.47232865822852355,0.5588091240920725,0.5015775924495273,0.5510475944399045,0.5074170590661454,0.4877072726733439,0.5248524818041375,0.5414726556690104,0.6294086965031623,0.5175394461377065,0.6010755615052743,0.5282533184970157,0.5601611137647394,0.6136067909908477,0.6601241057779549,0.680136963688317,0.6981145080276455,0.6685347633519194,0.7616008043854441,0.7059920182155742,0.5991054638383556,0.6304840206852371,0.7108073363441317,1.895919300691106,1.140191753807968,1.596451972235151,0.7007735453605066,0.7350692199013447,0.8023589247268973,0.7466103913848977,0.6859905512782654,0.5639741948254642,0.7984506475624429,0.6390745579634579,0.8067170150598003,0.6623016076417716,0.8780152143976145,0.7987718341075322,0.7078407551246837,0.8686590471064509,0.5813033751547456,0.5440417804203833,0.6000241673963207,0.7343485152337522,0.8501300222532244,1.0119248121809905,0.911110121363615,0.8260119290900495,0.7986103388035525,0.939802136157724,0.8972090476050286,0.6853287986680914,0.8581143951040524,0.9499146240125019,0.7109129327257009,0.7811178605773582,0.9840162802377347,1.0106400903499946,0.769270430298286,0.8228726795353187,0.7323508136283685,0.7068595616358421,0.6616569008754366,0.6475991410874716,0.6414723532145153,0.5934442785484935,0.6052065942906828,0.5676425381217606,0.5826753485569496,0.5298856927582959,0.5646757968256254,0.7041357463877125,0.575216714740027,0.621372827766507,0.6531640325834837,0.915688721517779,0.7542176230556978,0.7522687374648419,0.8221261325104885,0.9453581616202169,1.0799254452250846,0.7801540799329905,0.6395637418293572,0.5796439105490386,0.836755110176069,0.8418617763950534,0.8879184804176473,0.8938709239497022,0.6981672166710395,0.5868298076033478,0.4522273468227073,0.4260861707280336,0.6216839991925974,0.5816091565524334,0.5603561955823022,1.1532279606234441,0.5435039386455847,0.5383691305845877,0.6179190944473344,0.6825542873639705,0.39436008592334704,0.632939285681938,0.5873117788839767,1.379604635408716,1.849723811970827,2.238438707418021],[0.6745632576128244,0.49410528102714624,0.6210729921317772,0.31365334013565144,0.44211653766900577,0.3998008282415285,0.28582907191518514,0.35144544843980485,0.31123265288358004,0.30177445226985633,0.33565828487084853,0.4353607192129967,0.33258649128814183,0.3198392282360437,0.41288492795214066,0.38564735707950143,0.4067512383801485,0.4191505142204515,0.41049648622784385,0.38608928875613513,0.4534751472821725,0.4989197455938186,0.6068787235254608,0.7249564646208876,0.9402174644778937,0.5786269427142147,0.36600524484185537,0.3192860413764253,0.37075885754067267,0.3740613674422224,0.4709506667088552,0.4563679757550758,0.4817959375126901,0.49704343448994576,0.4414575869805811,0.3729299383335938,0.4211942522974746,0.36834871281087217,0.3076035699354685,0.35417389926991416,0.4941520439199392,0.45476843242978016,0.4591158023783147,0.6130571961352047,0.9023033617195193,1.4448627587374,1.2616024431464188,0.6713039418841636,1.213579726257402,1.4950407747035177,0.7637539988959503,2.1751843576671606,0.8066896244537245,0.7858532285439582,1.7393861961753367,1.0099502664605777,1.1643105366177773,0.7102107168290402,0.7823674274347115,1.4914857515985798,0.7247011666664361,0.8901061763929725,0.9949650700807939,0.8129428738151904,0.5563464438555815,0.5320823308367031,0.6839444777516485,0.5378627608608347,0.7422660526387427,0.5970895974754672,0.8107114340463897,1.0284522870785822,0.769835842956376,0.8542308240451051,0.5895117911680734,1.1359637597002106,0.5067090050902527,0.4880281244666099,0.4255995128708428,0.49847551036655086,0.4532259480905133,0.5413321014353188,1.0177183428678584,0.4871559184010586,0.4339725333115983,0.3897672373733733,0.39887776716373563,0.5516485841128166,0.3823840399314202,0.5245693309902932,0.4752581337511302,0.6434224642980553,0.5706874278135001,0.47821944091805874,0.4596348482145871,0.5403502793809898,0.5485688454566806,0.5026543466348528,0.530516287121445,0.7706776281766513,0.5289589600311279,0.5988296403100283,0.5157584788384588,0.5788505734561931,0.5738973946939937,0.5566372016200767,0.8369590135200816,0.513489072616427,0.5386947086305108,0.7415533881849506,0.4771220241736177,0.36592299744278994,0.298703857557326,0.33689911067312256,0.2981874198794332,0.27099944446661006,0.38847227464734646,0.31488657984785684,0.4637970563386318,0.45318619463285503,0.41974622777347076,0.3716282037820281,0.2972977587353233,0.2650944966646688,0.2853836683083854,0.3452249525243688,0.3774796113465008,0.38805903858208196,0.40618306489355926,0.4311696048792481,0.4281937811175059,0.530167371031767,0.41535427632684696,0.4841965473109664,0.3919921990860628,0.5233597033163707,0.6445064769156574,0.36666345329039457,0.3611751655965735,0.2893324750598207,0.43245006418469256,0.4908145737620417,0.4074549932659119,0.32452537400876064,0.3474233669363469,0.31067698908640257,0.27692772307964936,0.3225168635696806,0.30687589598195797,0.3585112895782571,0.43297398346375265,0.424808671444939,0.6814030796805509,1.3005289778967764,0.8995300810191305,0.5769217714366403,0.45301139065173496,0.46678358622470384,0.395736034171958,0.4536201721930171,0.3447510824228133,0.33808766170776244,0.32168449428687684,0.3248256839904057,0.38144862711364597,0.6197775946116033,0.4815286097268902,0.66542058403098,0.7130965585154774,0.6836103873965249,0.48737090822880874,0.3640548177586298,0.36636749823699805,0.38385156000816706,0.3601945479435609,0.408501504718731,0.42286723113483854,0.6511472562390329,0.404309900333518,0.49659174146364143,0.3853823803441674,0.43012372063755044,0.40983025674020057,0.4517163729859204,0.473003938159493,0.6596088887668705,0.7060811970551378,0.8004798656096619,0.9684286109853063,1.0585121585275636,1.078191588558146,0.8677633184439043,0.6876289070582386,0.6126962755420947,0.5623919882881446,0.5506269018952179,0.5481435079476125,0.504832342440516,0.5231036928312215,0.5888014428810026,0.5497449592228087,0.5719193510288854,0.5382105610766312,0.5434928990441139,0.5740064477496369,0.5804911615996293,0.6674478059997894,0.5872320769567015,0.6600354254931144,0.586957214155636,0.6380076819307056,0.6937999416620578,0.712268429612691,0.7338912856436562,0.7845461123290668,0.7576373710598417,0.8613653083404097,0.7978418573246315,0.710738670792973,0.7329760016679188,0.8048961316894672,1.8415627526194178,1.2223015614905552,1.6348249363424008,0.75802489022405,0.7910003380709437,0.8519978839980504,0.784633224319289,0.7705709745465188,0.6385821049237496,0.8328939877989426,0.6798963932379324,0.8556836212140525,0.7127360883351944,0.8951177477552007,0.8777159486486348,0.7732886752811661,0.8952197502955368,0.6337554208688496,0.5795425869241683,0.6165271350085324,0.7526957852533313,0.8515868569030327,1.0435719727978081,0.9211780323419334,0.8374750944067254,0.8230347899346739,0.9446568978464928,0.8915140735656508,0.7162438742966232,0.8969814730830462,0.9791991356337416,0.7455036007979092,0.8413736246061162,1.0383363658936309,1.0307130202018904,0.8305018090654043,0.9026484209247657,0.8051400245594086,0.779763645231025,0.7186245953740994,0.7067145158382832,0.732882773043521,0.6645856694180747,0.6587884117406021,0.6498622481858207,0.6659139471701506,0.5988069219568517,0.6340326377131157,0.7883959734128166,0.6586818706651195,0.6914735023108846,0.7223747139415585,0.9778313181948466,0.817245529924516,0.8153532523018852,0.9092716346026601,0.9980167683226147,1.1746345235812576,0.8582576095408475,0.7017972067581701,0.6481431655792247,0.8928441024122338,0.915720351073154,0.9690569166522957,0.942808464648722,0.7490250222835947,0.6252747740385989,0.5009323847877435,0.46591511996855983,0.6495521494497295,0.5892495258752223,0.57139965249084,1.1273178921483786,0.5413413910016613,0.5528903211477185,0.6145684751698746,0.7137722689757647,0.43824887660583867,0.620753405346641,0.6519515474505551,1.5156864321933088,2.237688528681519,2.637488910337065],[0.5823394156461037,0.5624093368542026,0.8347113130062566,0.34974516814514856,0.5073630413777277,0.428962956952631,0.3718415281661481,0.44788807581918205,0.41487098383594073,0.39189698000558326,0.4156983730857787,0.5285133506761258,0.41862475488791445,0.40128753986963883,0.4893627081040204,0.4691077606540591,0.44819167549290473,0.46217639527317866,0.4697391000096242,0.45242715925535815,0.4905837929838702,0.5302708797000398,0.6750373137942173,0.8291353752226933,1.1089180377722008,0.6840811096598892,0.44392656725557883,0.4018407448184067,0.42399052340265925,0.42597571748038116,0.517756467754795,0.5374238685411241,0.5525676077350515,0.558915136419988,0.5033001152774961,0.4260091935841658,0.4723985674249216,0.4198037072056506,0.3853667662991519,0.4719007475411679,0.5715550619756773,0.5113006682400938,0.5344814907802116,0.6849134533973537,0.932543826059501,1.5102259907675044,1.3373287903602398,0.6916684433085813,1.2005950772028298,1.5824774411389728,0.8498452027013487,2.051294750268956,0.767288308367056,0.8022923820652169,1.9067662697463368,1.1600857059772975,1.2690920533320094,0.7358983289430346,0.8161015686425079,1.6128916340478674,0.7016639609755815,0.848582681142257,0.9269204144964278,0.7875175023624721,0.5657004047506311,0.543339288081698,0.715948621432615,0.5463574174804704,0.7264510806595206,0.6414758875455491,0.8295454361073656,1.02648346529378,0.7966689691721157,0.8272245947514838,0.6468480972839636,1.1468735275748396,0.5364899584036366,0.5131549738170168,0.4547614238493702,0.5278644501213181,0.505106071414841,0.5993343503378388,0.977681140926152,0.5705565817314071,0.5171212496855474,0.4574442474652846,0.44772896210731583,0.6016198439216484,0.4310516086018551,0.5759379693343877,0.5015105393224829,0.66177714342127,0.6171166038800016,0.5593093287289258,0.5330830002869839,0.6106436236955946,0.6119398974240631,0.5754248507375113,0.6050552712902177,0.8390810258677982,0.6053416171147042,0.7130054461884856,0.6170867543774878,0.6675996148108374,0.6453919706086112,0.6435810361223298,0.9375930459460013,0.6488098575177423,0.6580040113814821,0.8110526234169831,0.604944773200269,0.4805058855094117,0.39429014889913555,0.41933511812997915,0.3785691748706316,0.37051361376525954,0.48130416112421043,0.38861829810725734,0.4813660557775382,0.512341311627048,0.4804900961179343,0.4522461019869481,0.4003789532797842,0.35912189437223774,0.3732888759671585,0.4336944317381119,0.46834304480873085,0.4897681966265229,0.5196940355974649,0.5377885668210761,0.5554994003386083,0.6689324590517202,0.556186955276141,0.5741537695193446,0.48461562994073354,0.5886191930686117,0.6978348480293272,0.47657186357272435,0.4385541002829367,0.38732030055511635,0.4803501028187593,0.5416741864971062,0.4731981872643183,0.38804213788640185,0.41763354271305503,0.3802421412990374,0.3684672717501901,0.3904005856646126,0.3861009527050827,0.4380667937314943,0.524892556266887,0.5428187796093993,0.7560372720644045,1.2861397152792855,0.9496770985396391,0.6663435000010862,0.5531567152579336,0.5808656724442152,0.49024681614323445,0.5093144142408834,0.42485389419598135,0.41487206877371924,0.40294474343976644,0.406182374008056,0.43486820014398414,0.7116860085583567,0.561953460308765,0.7478172840950391,0.8078335478248598,0.7566148726405205,0.5757106667281972,0.454861677988995,0.4350699587705233,0.4700046698198071,0.45787018438705135,0.4816233292118315,0.49197489742641237,0.6873047972858397,0.49591273535800706,0.5586656144697364,0.4859403663597821,0.5217078844329208,0.5163819878438908,0.5632012621966188,0.576893010321698,0.7130768090567265,0.8040408739804776,0.8668376954862789,0.9785194443336419,1.175569886389798,1.1120684633444402,0.8328874064614972,0.7579819819725503,0.7040039007790092,0.6652820738247767,0.6670392665564275,0.6473651643212202,0.6703192888953342,0.67929874380443,0.7463576904392555,0.7491991175281681,0.7736787474778299,0.730664180969995,0.7280775119737743,0.7853468430222293,0.7874611839743514,0.7987053502587087,0.7787007138156494,0.8736455367382879,0.7907891453503894,0.8202114545256086,0.8955912179023114,0.9448832456871222,0.8912845963794099,0.9271737408479201,0.8813831201986766,1.0167907029313619,0.9177423038510572,0.8596809792827036,0.9130235680981464,1.0067213629996685,1.85702162180932,1.4600442566304237,1.6966475352989643,0.9339889177407021,0.9461498689694092,1.0118530467268407,0.9096284637091616,0.9596393364701946,0.8130055489960657,0.9268935456975272,0.8533103795486927,1.0345302731304455,0.873741307523438,0.9685328264272641,1.0948593956294057,0.93965484363758,1.032443628622635,0.815579923563301,0.7579586716783903,0.7736051900864964,0.9010533440452979,0.9807593120347364,1.2116966611091213,1.0278215588056674,0.9783761785756535,1.0060530968756227,1.0678554680280206,1.0547165405292063,0.9092537613559817,1.0623686000918404,1.1277715594591002,0.9369082873386352,1.0344769039853945,1.1930662494651862,1.224242593623663,1.032116046054467,1.0922289882412486,0.997357119842058,0.9865091700121489,0.933399723218501,0.9096939508466115,0.9141749977725238,0.8607851971987523,0.855902956614353,0.8400587095999414,0.836714399256168,0.7800439687328797,0.8287676650696638,0.9259398700455815,0.8241325655034305,0.8697690945089956,0.8912491426355484,1.1309229773225997,0.9371379451113546,0.9550578651670393,1.0573629898628734,1.1354692518748553,1.3445074671242991,1.0301996008417253,0.8323870461184887,0.8083374609413625,1.0795612553247,1.0770916684626535,1.1215394000105439,1.0645199616687944,0.9056429609250196,0.758287307325707,0.6457541990789544,0.5853612010207413,0.8608412550150508,0.7925727605133335,0.7758015712713249,1.0826210718608937,0.7129198863043109,0.7657113452109479,0.815612120607525,0.6835351908135482,0.5386269744936204,0.8220107722903437,0.6779102811724701,1.266621490381225,1.9601046481575688,2.2005508862144887],[0.43498639823810853,0.47660648008572887,0.7523875205910077,0.5003579923838799,0.511580049678952,0.526857619444976,0.5145804406539551,0.6306092055824261,0.635475942895797,0.5833809334355704,0.627950779042928,0.7339200457121602,0.6100073445593207,0.5561658362929414,0.633326258135906,0.6520172792607101,0.5999654008328887,0.6098827958398034,0.5746877110194669,0.5752128052601923,0.608526316051041,0.6739648215823235,0.7422396521984405,0.855592384307627,1.0540950056418148,0.6344801484204113,0.5395169496965498,0.5332195851601498,0.5923298507604075,0.6105008025902426,0.6811593682573353,0.7256456161331231,0.7641174995573513,0.7616476311549953,0.7060531953957442,0.6214760105231852,0.6721451517107297,0.6103721488372735,0.5680677004579059,0.5623289006092306,0.6987581823936476,0.6709024287128912,0.6996950039553362,0.7916343406451858,1.0021383269975117,1.554391786539644,1.3562913681924518,0.8038107732715829,1.2495664062425822,1.6739067426180096,0.9007371410919813,1.987294815037465,0.7806954307855358,0.7774610264066916,2.0159592348677204,1.3515856676213869,1.4885509373538814,0.7945425753882814,0.9431808617397223,1.8365349349111397,0.8463645510394784,0.9940740955428543,0.9151975139270855,0.7222625527554977,0.671964812558931,0.6242112760258052,0.7365498712652201,0.674275786412866,0.7868265382737837,0.733909315563199,0.890759507382825,1.0046359441918673,0.8771642829408314,0.8864781950991973,0.685928713137905,1.0563369167504988,0.6601038099381386,0.698947845643621,0.6682892714140003,0.6895124965788711,0.7024051407816633,0.782144858705591,1.0471504514212688,0.6490190118466495,0.5698656071953048,0.6431220214988398,0.6407654560771154,0.7893926544676146,0.6164364817388802,0.7548285432251344,0.6850810779910833,0.7501747604172716,0.732290521235523,0.7223532196609246,0.7003426120680092,0.7506737810752715,0.7438954714740107,0.7605871807297803,0.7942028196861997,1.0177531008404463,0.7644638643085013,0.8637758112217071,0.7924483175634204,0.817627425801216,0.7623473059318094,0.7416617925868407,1.0202098576065144,0.6507117803168074,0.6549646679737479,0.7954167478611696,0.6397864946286281,0.6039720888065465,0.5587031696473839,0.5359238719310438,0.5283841010272584,0.49308241468405567,0.6161638569902286,0.5120768471232141,0.609963390618679,0.5840912600798643,0.5667704907197838,0.548965146181434,0.49866837604691666,0.48704263917194973,0.5176780296510528,0.5731064617619704,0.5451838090729908,0.5900749383290694,0.588025463626481,0.5859987076019721,0.5755149204511361,0.6470302234922767,0.5891607100044265,0.6597709064274064,0.5656558297634846,0.6811782514452492,0.6664694696520185,0.5606659469308106,0.5824553800286913,0.5294171153810711,0.5644665120855469,0.5639790833218011,0.5838767777116688,0.529834664696626,0.5699808633114041,0.5305243297712215,0.5194338904016508,0.5687456631527952,0.561547546233984,0.6038183171821568,0.6723871837143417,0.7391950614334032,0.9025969390281297,1.3733121764424723,1.0724503344135314,0.8414120484772808,0.7445120194388849,0.7500770016188633,0.6769760353234212,0.665542447211147,0.5362922542204358,0.5539243373774073,0.5441255682060796,0.535457575734177,0.556268976106774,0.7665024602315277,0.6147825782286567,0.779165774392278,0.8521227962029206,0.7853658131497349,0.6045469278359589,0.5359078720560624,0.5508058409897405,0.5859462636712349,0.5750191769969307,0.6373399077671493,0.6258954049088965,0.8444509019073762,0.6186652588137549,0.6759466334076835,0.5694884114757833,0.638595479014551,0.6069699073726064,0.620055575214065,0.6145769775441055,0.7160287044478353,0.7542969573951387,0.750595628377049,0.9180493168569208,1.0744938383474492,0.9690638827807445,0.9218395890927916,0.8195971308617723,0.8028399036182302,0.6748792704949148,0.6853782732737945,0.7098794645478284,0.6192087123925814,0.6222586251211079,0.6624900591962949,0.6368384006942701,0.6808063063871899,0.6350619943716638,0.6278828641841019,0.6653319693455768,0.6693698630300097,0.7357926892227978,0.6749420672674372,0.7339066661085727,0.6536886339687563,0.72597043338505,0.7656016884309219,0.798856369081311,0.7808900322686071,0.8749318709582276,0.8938692190854971,0.9286944555927624,1.0055240319017706,0.8450032836952641,0.8064412768375292,0.9175858745394173,1.866048069333102,1.3480956341016577,1.6200337584602384,0.8037176668605702,0.8288697885308751,0.8723416720082435,0.7818930076711682,0.8525174320042341,0.7160397514089376,0.9008756070147002,0.8247604419043939,1.0171302113204852,0.8311330361128585,0.9180262241432599,1.0044544535823832,0.8719615529271115,0.9574319378309951,0.7491912924203802,0.6863912271041609,0.6703704760449785,0.7923924198303126,0.8645936071243399,1.100976033160919,0.9414939941294486,0.8646818705333107,0.8768567858836599,0.9910520931673458,0.9905877103549875,0.7986316530491251,0.9698945519772219,1.071414113355792,0.8355266189614287,0.9083143537908267,1.1084730136980987,1.157716854286965,0.9042103380635328,0.970824997895945,0.8676387032423905,0.8440215171775707,0.7748507492091881,0.7521140750659346,0.7876099196604174,0.7289243191869045,0.7331132728145585,0.7382525657914845,0.767120689359694,0.701361826002971,0.7582307800574993,0.96169917562538,0.8177628848511846,0.8077380108008216,0.9192747576406999,1.084116468371797,0.9849938142515872,0.9750557725675125,1.1044955646451193,1.0842857558271881,1.3432781410829822,1.0184294022198113,0.8606866935634503,0.7751080795774274,1.0537167386550197,0.9966488964696697,1.0262271034834094,1.0072444391989384,0.8301190030774845,0.7152531012914906,0.6055387799743093,0.5810814105408373,0.7568138864300265,0.7423109206349461,0.7412416415498525,1.094339706647754,0.7253765657271223,0.7228640035115234,0.8622938729590521,0.7707661759136027,0.5702728056802964,0.869960139008512,0.8045428840802361,1.0556681181852339,1.6131625907010543,1.8564536507384322],[0.7208847016062048,0.838903348722991,1.2189872072556875,0.5561039409318745,0.8042834517909934,0.686274691801672,0.6551791085369095,0.7610830851151057,0.636004890989309,0.5770511190322372,0.564588324577945,0.6918459057519742,0.6196920869271727,0.5108775307828766,0.577172577411281,0.6264527820571755,0.597848142824979,0.6123744493521269,0.5743598754782863,0.6005136286556443,0.6127278564256666,0.7033409310221124,0.7693261257878705,0.8969320077817362,1.1209474360945184,0.6917873286887295,0.5859949778955904,0.5629373864662804,0.6194291204096977,0.643681461638014,0.6359603506903385,0.7186647091530926,0.7217816133469033,0.7097870766795917,0.6933141327116839,0.6226683036276516,0.7290998931772391,0.6733345646958413,0.6449193719587867,0.7580228846308087,0.7587204566043744,0.7274454262767598,0.7730961473344744,0.9414509346554099,1.101886755680763,1.5904526865942668,1.4387387262474178,0.8676273783585449,1.1688496428452386,1.5761031399007113,0.9012720196264278,1.7958235610356106,0.8482718643055969,1.016097017385528,2.269560524188981,1.5344677606620045,1.5766822376411727,0.9572054229164464,1.0838704865397657,1.947648902983222,0.8390431384015072,0.9508980043736475,0.9406875881799577,0.7653845291806586,0.6944367151963707,0.6902643727666771,0.727269383148548,0.6560861816346923,0.7227856352681107,0.6672466476019705,0.84922730375027,0.985993501235655,0.8085586633564384,0.8428784534375536,0.6336018280298742,1.0710361045509946,0.6527071297384659,0.6660958704301592,0.6676235222045134,0.7077959405747712,0.7732142431575263,0.940814410040232,1.0440218349330486,0.8621077429787043,0.7631514640160557,0.7830102321678951,0.7392912511986212,0.8595587050263059,0.6344478236904045,0.7207586812322179,0.6247661671816346,0.6812918550308618,0.6693599374512901,0.6483841454280251,0.63060902743907,0.6501115455217398,0.6517590486149988,0.7035096679205631,0.7569740227445441,0.9916473848644988,0.7934029640653596,0.9712222685771356,0.9086325973172763,1.015773523849503,0.9898243926220983,1.0189207029952776,1.296605187620247,1.0764078784578746,1.079136576754241,1.1813646809715228,1.0134003913678293,0.8627168619711382,0.7217462766553089,0.6732089877618873,0.5658652523825591,0.5296060503660607,0.6317434230688656,0.5416273597447298,0.5715339123862045,0.5683174306244603,0.5341974124485298,0.5408480445304316,0.5098869071537727,0.49527724478275037,0.5603621532077208,0.6651554937419518,0.7910282819661028,0.8274576363095161,0.8851457634745779,0.9095154516647537,0.9220242873919713,1.0519422038411719,0.9306250039857153,0.9486005739621601,0.8015392124171936,0.7904962668344628,0.8417247601473865,0.7044601895882064,0.6227185250340659,0.6112622561898847,0.650316735866636,0.7094012544650914,0.6212340885100622,0.5674835075499809,0.5795940600091358,0.5772047950315138,0.5839885672369522,0.6448351080939279,0.7034479542966243,0.7299480627989284,0.8535076525530892,0.834892266614426,0.9837036210405088,1.4049924739264956,1.0681882853928089,0.8878492601861304,0.8095907700890962,0.8920915987900373,0.7758302100743684,0.843635528346548,0.7492278435129052,0.6915196035632987,0.6837779200467183,0.6885855105567575,0.6858231680505015,0.7608113249449935,0.7915982948101112,0.9129410083441619,0.9683413770291392,0.8963211200799583,0.8008561583234962,0.7007739147337343,0.7247863338381341,0.7948975973662984,0.7959202698258558,0.8338232256964804,0.773127222803745,0.9219933215844701,0.8282168034212298,0.9019685693292878,0.8157736168457196,0.8908717112604577,0.9124157066562867,0.94544691461932,0.9328069052714144,0.9919866999165313,1.0473821466605202,0.9887549727579908,1.0487513428307695,1.3759309777022646,1.266426369735793,0.9775864696107934,0.94659132849802,0.9338213352879657,1.0060844550890897,1.011884971439076,0.9604269382751819,1.0445847149291223,1.0555597336946196,1.1287852572505694,1.168612574134846,1.2314642794938135,1.1609974416887652,1.1408416463090132,1.2300061600666792,1.2407011855420513,1.150360425702026,1.1883192713224349,1.3081470382933142,1.2501141527459767,1.222853676460493,1.2895156010617002,1.3902203887744424,1.317338451392426,1.2430739764789598,1.1647024335120835,1.3075409966766445,1.1168236364478163,1.160309492395282,1.221710500979727,1.2721637320028394,1.877797431981036,1.6615826984187345,1.8640102476541396,1.2875366277846354,1.292864533187039,1.3561074370604755,1.2828630249386332,1.3259123053481368,1.197364530426456,1.2582766690802643,1.2088304348454433,1.3449236681680674,1.2280710181537857,1.2646458142046768,1.394700442366673,1.207566547331921,1.2849112388428374,1.1653585164197884,1.1638807641600488,1.1912491200525424,1.2768591824742659,1.338365296167477,1.5299955989556098,1.3646412248680797,1.343855761007215,1.3875208993592074,1.4252089350406159,1.4352475093054007,1.336177099140467,1.4446549985335917,1.496930385846615,1.3701795358688813,1.4316686735516353,1.5411861660264612,1.6159180393203934,1.4041633059674417,1.4145687995513943,1.363475336486433,1.3592753368902744,1.3349288821549483,1.3021124649224372,1.2923430807352048,1.260077407928241,1.2450028756562177,1.2006193097832216,1.1730532473653565,1.1508873880153279,1.1768720705351057,1.1640803802516853,1.1062255566585064,1.1800476695109354,1.1338256526146775,1.3195080590045527,1.1018215848362205,1.1201682629280802,1.1604029684854797,1.1724689875007002,1.4688881214530602,1.1605205449575462,1.093497368789439,1.111809834353613,1.244853831747609,1.2461203503067815,1.25034322334431,1.2184661094715865,1.1711365666016362,1.0561008937366916,1.0187239450824128,0.9361241140643397,1.2654157421382723,1.2330331106350871,1.2349260686359118,1.3386686325850778,1.134711477946233,1.2168444780840695,1.2439939261677562,1.008771274876253,0.9341344271747001,1.2220701175349649,1.0072258857881706,1.0065223846484244,1.5008763235526776,1.7659734176467745],[1.1075909330529699,1.2289912636929659,1.7432623750900689,0.890348993748673,1.212043437937651,1.1186580879566355,1.0965743874053757,1.2738581029416498,1.0454071201525323,0.9486635168127131,0.9263132124841754,1.1002264104915163,1.0412310795996311,0.8399500318108591,0.9137766048456906,1.039646773187251,0.9662909197635118,0.968289703720489,0.8823041409243826,0.9812276606979375,0.9481740641169383,1.0608954991149673,1.0604293599312138,1.1340962545235027,1.302059265507953,0.9439584798797278,0.9597150060486959,0.9473324839254943,1.047979270830768,1.1190047868604993,1.0443068057704046,1.208584282968954,1.2114753842662715,1.1913153862255963,1.2069255083045398,1.1006015214513516,1.2555776362443873,1.1556669876956727,1.1460174328062207,1.2805175315905848,1.1758729211841064,1.1668146807648176,1.2481369429864462,1.3418821323500014,1.3364305965194265,1.6573822006731496,1.5158324315310203,1.2229135917045486,1.3299912325213277,1.6314522380920733,1.1623560575052876,1.7773401425858215,1.2901830549345354,1.424776308552925,2.7176269870538317,2.059216689228436,2.077875281719579,1.4254151425907182,1.5813421980333258,2.4051851679534035,1.24449796009114,1.3427786566164617,1.274863755413775,1.0491410961511831,1.0620463040334578,1.0612281071222716,1.003592726544747,1.0113029636854372,0.9638996119564406,0.9248235275730502,1.0054964766402368,1.0386595801844123,0.9996278245608766,1.0470766229543549,0.9341844727612687,1.2484539215884858,1.0717235617712741,1.1211525653797347,1.1643672944422507,1.216543749223698,1.336336332133977,1.4753802172175634,1.4589415173180378,1.434119375946212,1.3188042083492364,1.351060183878339,1.2651155617760546,1.3744518906522885,1.119824483532491,1.2046118920600386,1.0827411584148907,1.0243734263279907,1.0349392820780985,1.0590296222120088,1.0336741690021114,0.9822412649437999,0.9653906486455817,1.1441577528960738,1.2186771186525884,1.4856891151031635,1.3295932605839273,1.5540025273468234,1.493410090861574,1.6193970321077351,1.6035422797675587,1.6297622751566345,1.9012300135025668,1.6903235218822752,1.682344489055407,1.7756701498950436,1.5889504798314962,1.407073073020301,1.2284854968433416,1.1270071267527553,0.968690824400104,0.8879956627342659,0.9629749561479671,0.8560661095344122,0.8073287352228902,0.8338993471389949,0.7611671856785035,0.7883306823280015,0.7408152739517379,0.7971357035875903,0.9155780351125035,1.0775010910679226,1.2771005183193196,1.3272736233947209,1.420551398954024,1.4912772794725273,1.4541649709790982,1.618853970787255,1.4875058938361088,1.533339010230779,1.3351185246198416,1.2460447153633791,1.2570964914399136,1.1264220632112791,0.9776892010441998,1.002274931532688,0.9426855018401232,0.9808992084064401,0.9428592877753151,0.9569893600053319,0.9975040853995047,1.0339604647242535,1.0305491240252183,1.1185703692836473,1.237062154341286,1.238988789198497,1.421285423715521,1.3846625337879959,1.551015635587385,1.8439214792739622,1.5253741015174047,1.4455812756143263,1.3450314680139681,1.471023261111952,1.3194743149348838,1.4075177477815828,1.2810230104838,1.203938069606106,1.1514242275943536,1.1886627715599876,1.1480152648321627,1.098585728058944,1.2233019377196115,1.251072255312315,1.3077227248785352,1.2161898602379249,1.2256227003760558,1.1493530012006108,1.2254030364810113,1.3495171786589535,1.363540199650564,1.4278985999446228,1.319760593972428,1.4666236057749582,1.411007782161151,1.4901237621729153,1.394636970450248,1.4902216974517357,1.5117457155318677,1.5239847043436208,1.4819817879298807,1.4905106261432255,1.5030455169019301,1.3490802244741353,1.2950763772248095,1.696305060080388,1.573913224046804,1.4127585192406917,1.3706983194703735,1.3859185777520027,1.4949823450420205,1.4949033451636318,1.440549560865869,1.567205497920075,1.566369862745542,1.6766213059547905,1.732831443601579,1.8453105845008577,1.7424102912434718,1.6784254786204849,1.8082447139305244,1.8440066992730921,1.6399780468275855,1.7132844734092714,1.9088963946826367,1.835212754222758,1.7312737970053904,1.8191605185488904,2.0132330960203624,1.8264126519273272,1.6577365311269938,1.54944458626851,1.6421064136210042,1.390911334687913,1.5397684965190597,1.5978506674561193,1.5981120261558797,2.0764404575608295,1.950410179282713,2.162771647737467,1.7595140455675429,1.800617920149515,1.9026877031199598,1.8137926976439998,1.8065301915067151,1.716529142589739,1.7634365155400324,1.6807146876461159,1.7643364653475024,1.7062214464198437,1.7498161941697714,1.7650056267769911,1.5937747674721838,1.692869810175377,1.6536867073433041,1.7359750590219056,1.762195976321361,1.8474542919576131,1.9285847062541353,2.104694567120815,1.9790194707765565,1.9446009578798311,1.9989098714126095,2.0444535054317474,2.0681262147672856,1.9742345006233408,2.0692175844540284,2.115177912012087,2.0161314929290874,2.028642013678011,2.112786396562174,2.2066360060272303,1.973259157821563,1.9218787705991305,1.8696465992510967,1.8867927066901247,1.916244538579407,1.8385586358611243,1.7704822897561046,1.788216515903647,1.7692803160537067,1.6617318549538993,1.6174613204340342,1.629138178074543,1.6105853746293504,1.4966445028732054,1.4903615522083953,1.5702596725822877,1.4687310335702797,1.55750991781493,1.3833231802784238,1.4114026272874107,1.3840065430911794,1.336958960058034,1.6701293747037107,1.3988489513785218,1.4568030765494162,1.5219820538248812,1.511487889497052,1.4955941334438103,1.4608463384266044,1.4780123089034574,1.5637386619119655,1.4968380104825514,1.5286235840510007,1.4413961809561817,1.7853958190754373,1.8349727936693323,1.8824578283293596,1.9039704205574075,1.7239937575147588,1.8472657081184447,1.9033818628158077,1.5949314307777713,1.488030839226723,1.872427560033622,1.727919749040796,1.3318247541557837,1.7022926062649535,2.1738904134291706],[0.9419269290848016,1.0760289037709643,1.6237477313818032,0.943771559291672,1.2412364382560153,1.0604823288660656,1.0542542339943262,1.1638176062686587,0.9473364721245511,0.8863012571125083,0.8396540330115242,0.988267845871804,0.9748381803104829,0.7999052816289203,0.8534748777758161,0.9762030292049347,0.9434680320682572,0.9566562075889126,0.9115985981521765,0.9856813497128831,0.966089068992601,1.099967453352343,1.1234985951240157,1.1866694696250364,1.3588555658624766,0.9904781414022461,0.9916411517288201,0.9619026726429143,1.0294212862850898,1.0688181655859676,0.9709876385256461,1.115020092078202,1.1099629853556863,1.0911492314111995,1.1227527759428138,1.055023949061431,1.1984106458592132,1.1422697718927608,1.138487538893636,1.2675529770280867,1.2100481827614045,1.1755884542092883,1.2436233288439313,1.3865336128432337,1.4090186463280905,1.753421389256823,1.626227944175102,1.2719556549249416,1.3784970186114436,1.7110486267787055,1.219781917611037,1.7662941809095747,1.3163097566294364,1.4854791820270317,2.743634576807406,2.0431180871420325,2.0333789330383394,1.4199148439148563,1.584010764062729,2.4121511240105655,1.2553222325716429,1.3008224813517906,1.2407575534920365,1.0767605653279284,1.078762017243194,1.074942059421631,1.0098483860623266,0.9899251102452921,0.9314191150862118,0.9033750658483211,0.9906299431494346,1.024997533317749,0.9798436178734939,1.0270174383221689,0.8644193751237116,1.179766778851608,1.0522815340928051,1.0619892353324227,1.1193551596512588,1.1525978418781095,1.2648249934073663,1.4340852689662522,1.3879333715227131,1.3723032203065597,1.2710376054967552,1.299303255229659,1.2363155116173474,1.3301670318493588,1.0889456170542775,1.1317284911855334,1.0238948356602833,0.9633459165873485,0.9568967067457774,0.9569420466436708,0.9373939494389154,0.8686978466212311,0.870634331246507,1.0234908602169317,1.0914898714269274,1.3082714387027368,1.1970600695542146,1.3911931614701158,1.365836100395523,1.495965118298533,1.4798765771782485,1.5179233309354594,1.7448667426591329,1.6037436255779272,1.6076080846725098,1.6678861359568564,1.5153736871446073,1.3558952220149845,1.1751460458306255,1.110970146364996,0.9567814774775149,0.9172760844738326,0.9934659029885554,0.9213320321500924,0.8650123641094549,0.8616648354030766,0.7906031459138334,0.8234660886506769,0.8172304234700404,0.8363247647160954,0.9173965131715028,1.0934867233200662,1.2535672312647632,1.3208705007805157,1.398016276340171,1.435972221489648,1.4458731942975243,1.5740938690901927,1.4686343304760363,1.46956977794254,1.3382107101169818,1.2791146751054736,1.2882117789070744,1.1835129824616688,1.0497761711902385,1.0602039688137925,1.033589480356282,1.0721456035473644,0.9968252568772787,1.003368824279216,1.0244296865388864,1.0391185898886655,1.0447062522368322,1.0872268863270576,1.181417217520919,1.1645166381388938,1.317202867083305,1.2435432936254465,1.388362431254689,1.6756622096657443,1.3359519582021904,1.2828865009560888,1.2178256162750847,1.3467984023875368,1.2167056937381049,1.3274996543776534,1.2470394068132293,1.1823296858200638,1.1732260510227859,1.1911138258287917,1.1788145766261777,1.1502047246873808,1.2733593793836935,1.3143091297396081,1.36346913184081,1.2830350470751593,1.2677652282982732,1.1900501239853358,1.2342382774095053,1.3244422046502222,1.315122558716267,1.3408809284673098,1.2461828103485177,1.3461905032965908,1.3438228116059663,1.4117776737558931,1.3423298224086666,1.4167664497275794,1.4474714188046645,1.486927453951699,1.468547308691437,1.470454094811989,1.495162487682797,1.369696548751344,1.3398321718960275,1.7362717544055892,1.6210692369328696,1.44245818120254,1.4070861664904537,1.4153225115902224,1.5074435529850556,1.493704045692755,1.4445807686749903,1.5510741704921227,1.552279317138596,1.6421932028813375,1.6638559405748525,1.7387741051996553,1.6852088917953125,1.6404281650254373,1.70432948759381,1.7449142413913026,1.6549597150881885,1.645245722536566,1.7366440691337695,1.7591475102982141,1.6979235881224513,1.6714309836577153,1.8056869279603458,1.8598577590401282,1.5324547137617732,1.4660024915015744,1.487477037597216,1.2891677610106864,1.4461685567058515,1.4434181537688142,1.448702228796572,1.882872660324655,1.7758675621570434,1.9919095292241005,1.6058698191017426,1.6297889019236107,1.7359717058589565,1.6577964460081076,1.6527487872812912,1.6000879137478803,1.669725694116758,1.5820995185721862,1.6802339795399601,1.6411980636236019,1.6612051617734322,1.721622095730129,1.5580796788838296,1.6853732147146245,1.6230551328417386,1.6638486187957766,1.6739718100381726,1.7222853343341706,1.775001705657215,1.9184715505036618,1.7904972116456666,1.7944356301588589,1.8017966691373513,1.8231098349896775,1.8660297947451663,1.7826487276450718,1.8085982197966843,1.8465847609860464,1.7941099223175756,1.7673055744984862,1.7992041609121465,1.9067461900197449,1.6972819208166923,1.6441301667375854,1.6383990697554678,1.6561377985130805,1.7147069532775092,1.6436777063670345,1.5677295907319895,1.6372359505404672,1.626203272496685,1.515579083762388,1.492831644474265,1.5526092022817948,1.5063283872100337,1.4105446306461322,1.4317867817219037,1.5286856731981566,1.3897388317582184,1.49458424338707,1.3493164962904654,1.3996665295073367,1.3238862601078574,1.304941109125373,1.593578317701346,1.384598569700034,1.4786955136627442,1.59327145774021,1.5650830639124422,1.5611718220834558,1.5027296818757556,1.5302185791759073,1.5914177439540627,1.5335040489262879,1.5361767460700921,1.4441889838272908,1.7606765626286796,1.7399504466850682,1.7371138930248864,1.7034010162434738,1.601726151301388,1.6915087768855441,1.659804090249008,1.4502918312404116,1.3475397053605809,1.5515245270294746,1.3946077632870144,1.0654295080912863,1.3367310930435714,1.692620882248015],[0.7977040383566026,0.9676608677516189,1.4204514181327963,0.9306474463382495,1.157003588058451,1.031962253492608,1.0442231885666693,1.1059759111789227,0.9755988205534608,0.9546470595416653,0.9182150526448707,1.0162040704817303,1.0117043578553682,0.899547268484525,0.9354272152064506,1.028075590985728,1.0119080511732907,1.036793975790799,1.0069360642160607,1.0486421615466597,1.0423867670893527,1.128105615123486,1.1458236817825822,1.205195764759567,1.350844790400728,1.049563298197335,1.0304441493840693,1.019855249792567,1.0732936475188406,1.0765802036675984,1.0246926544729915,1.1060419767341667,1.1021978567433477,1.0968052988246748,1.1108847101134127,1.0689463097285905,1.1584629143325318,1.126646175924579,1.1160439523997774,1.204350500578859,1.1772815287131146,1.1947448572329766,1.2512793975586964,1.366794206750096,1.3780225924847165,1.6664209435800705,1.5148474952930533,1.229922521097035,1.3217919313016693,1.605606402955698,1.1159299417465764,1.7331714276861439,1.2170109019164252,1.3786944327640662,2.6372936879473716,1.9980227756238225,2.0364809875214145,1.3742004070165508,1.5399046378027674,2.3990462384320863,1.2692105124414248,1.3358666220575401,1.2503187698520026,1.1141121482650231,1.1260509088151327,1.0983712966870147,1.0888714326941586,1.0799947372199603,1.0565823885942898,1.0181294749560095,1.1189931434586744,1.1503902942992041,1.1031878170267566,1.13730351869865,0.9575076311744312,1.2108933443425982,1.0992483108372648,1.09170201788694,1.1155114028062514,1.1421024617728488,1.2191936934967755,1.3636437947473488,1.311035522713046,1.2457249628087166,1.1837091737525656,1.2268715093787845,1.2005363045369992,1.263820002302846,1.0892938644057395,1.1293377731527365,1.0647884259281546,1.014679032288508,1.0195069818804756,1.0036262987598628,0.9899586366931636,0.9445435114197773,0.9480191494101297,1.03723864641908,1.080523239683716,1.2336497317233026,1.1251757208251572,1.244915470111258,1.2449785545187901,1.3148348927918252,1.2770364546749198,1.316659960010803,1.5036538610870074,1.3135234010524015,1.313500489130374,1.413702607264979,1.3164664914264617,1.2331639495914004,1.120222687048746,1.0966552253259954,1.007009578433081,0.9797085197214097,1.0631214353635507,1.0017700074833855,0.957290627458291,0.9562186662479462,0.905177519163333,0.9235816565941041,0.9048086947608901,0.9213705848790823,0.9853870528690836,1.0970588748855883,1.178096926309046,1.2033129456763447,1.2086020276119795,1.2227071773449296,1.1984722096225373,1.2844086199098599,1.2195084661362485,1.2312765026315606,1.1424627497416007,1.1207719431999943,1.1616335501209905,1.1088744288737882,1.044892022096428,1.0562751496726448,1.0561512365192716,1.0738268500118842,1.0506847101553547,1.03062134153948,1.029719144865977,1.0399319001641147,1.0480967108225208,1.0749354683795755,1.1203638871378712,1.1194133939836635,1.1889505530165507,1.151576072217502,1.2218729506573807,1.5517917932347307,1.2546281612992471,1.17216899825379,1.1482359755191742,1.2189963333347347,1.1483324964312307,1.1883647304161384,1.1559571904742545,1.1249563066354902,1.128949309357254,1.1281312077744423,1.084555061022927,1.0838679398088926,1.1412579901984807,1.1863026336764058,1.2227457952183305,1.1813785063488145,1.1418969884119945,1.1021062293349733,1.1184357765426332,1.206779112378066,1.2072963595676804,1.2053737062513714,1.157299318256346,1.2213710941912015,1.225161772833678,1.2602340494437534,1.210636274223708,1.2468682218423763,1.2455060458718314,1.2744670272264411,1.29328034994536,1.3547307599326943,1.4253725681395975,1.2769252712696288,1.2803535004301623,1.6237351959778166,1.5046688837988704,1.289083906975593,1.2177233830415155,1.1943150870946646,1.2410232562525694,1.2136252343891243,1.1752860070424922,1.214827398138803,1.1906819274296188,1.2861874931323942,1.207119310801378,1.2875509913814258,1.302795778773833,1.1836711587586342,1.1601002944841172,1.2578348391810175,1.2099480876942954,1.059985882726612,1.1119551861266201,1.1900906679914796,1.0188019443582002,0.9467096966347924,1.1419153881865542,1.0560766704560225,0.8180552072949763,0.8197720885255426,0.9001641905754241,0.8659726693996826,0.8725266139363069,0.841560839523216,0.9348977714526906,1.716751138941919,1.3187034979776115,1.6440523877411681,1.0166710081481747,1.0710856379495495,1.2324119222393757,1.1743387614080179,1.145648387977539,1.103026366558213,1.2300547927619154,1.114990521390378,1.2558726428438154,1.210757943099795,1.2997956737622551,1.3174202441749474,1.1744390760664265,1.3573892553283888,1.2078544217263696,1.2591616830423367,1.2238592418097665,1.2441292817130687,1.3252627903909415,1.4350361765499287,1.3436912440524804,1.3527666184752962,1.2731465778120337,1.3399593974366952,1.4256499638676357,1.2510102004493677,1.2639495329789436,1.3504909355414392,1.2378840551231747,1.1478218974855616,1.2158385502182187,1.3534080668328081,1.036683924536285,1.0169204696935263,0.9856081252695107,1.0249884699333385,1.1021837683964522,1.0360515121158884,0.9512699980931467,1.0103195091244723,1.0530305230287784,0.9311602444933146,0.9148130562474653,1.021590497456479,0.9736751034839273,0.9376963854762858,0.95547210716783,1.0835953514272456,0.9678989007624573,1.1554995875924168,0.9964187494422266,1.0453721844316832,1.0221427029541201,1.0750010737527533,1.2751408940790339,1.018653986991823,0.9942757029921218,1.1491026159759783,1.239293637047878,1.2666343004401763,1.208866331974668,1.265225290090804,1.2103636669577618,1.2519697489373822,1.218432288921493,1.2410966492709876,1.4970396767035652,1.425595018846798,1.3260676885455223,1.4099315295056092,1.3561692068253086,1.3163665204013488,1.274089274142387,1.2476736030790518,1.155361564816434,1.1453411941800375,0.9929719213388594,0.9001084052343736,1.1470136758905254,1.4225664839413488],[0.4704737856396467,0.5571546650549838,0.9240017686082692,0.48471875698624883,0.7156375799647243,0.5940881797661253,0.575773199194996,0.6511667767391043,0.5686745127360289,0.5272620410973434,0.5071077936425199,0.6357192093635384,0.5648491213587927,0.4853545796335769,0.5286677443325086,0.5840276030223944,0.5622133425720051,0.587202023566097,0.5738809011061025,0.5880272665402025,0.599771934140984,0.7047181741062365,0.7966922743893491,0.9079514153908077,1.1374948051542109,0.6825748151258255,0.596058913303241,0.5495673382348515,0.5915114374853634,0.5984228551894999,0.5849871879073619,0.663916834374127,0.6620651198857538,0.651171791179507,0.6425562730533936,0.5829779493583856,0.6724664412637301,0.6478415909980648,0.6029147737443066,0.7022784345667302,0.7546346933490948,0.7294595350790304,0.7660539485907764,0.9466927728552672,1.1213106095217653,1.6198649205143265,1.466371154123758,0.8667468510048703,1.1557505788769764,1.5997170755559025,0.901373807680946,1.7712345875470679,0.8116178972567965,1.03761002350657,2.285817956485022,1.5213050224397813,1.5479087887656353,0.971795576275036,1.1032395348869852,1.9557216016513412,0.8094171024511477,0.8686181637242046,0.8486401697125711,0.7320175651424065,0.7139670902393012,0.6636695602249836,0.7152740410630612,0.6386648367057443,0.6935124676336094,0.6442854294198191,0.8097874990225802,0.939809353340436,0.7787845474976808,0.8241420421817759,0.6081063298571091,1.0074779748643625,0.652891622786577,0.6274925255475929,0.6298472776398525,0.6392017408832928,0.7038992333274351,0.8751814145088058,1.0102045978973446,0.7575112665894728,0.6829150310221065,0.7031272955073296,0.7031753877920229,0.792670295541283,0.6016736518429032,0.6873800296688551,0.5966712258974557,0.6566681279327636,0.6209887115634922,0.5921456696783561,0.5788245895106652,0.5900590785645562,0.6103092552510295,0.6329278266174132,0.684532332043101,0.8742221074137846,0.7022877614142873,0.8279995962635501,0.7813003616486358,0.8641323329627509,0.8120164969872027,0.8496438475766873,1.0898783254301296,0.8804298327672987,0.8801875472139402,0.9934774682113233,0.8618325672459101,0.7488418911183166,0.624711164845722,0.6038647970610702,0.5302744961281064,0.5175808192720941,0.6316935645318296,0.5524574587140284,0.5637290678542156,0.5600779104427176,0.5284250708361455,0.5366785941978043,0.5192488414175762,0.48313085786838,0.5202434336569384,0.6128435054447248,0.6882726482973004,0.7104223159413516,0.732345710091798,0.7390906383771813,0.7596056782786708,0.8563652248914547,0.7655695568448874,0.7610512932637373,0.6669847675410454,0.7182685400001156,0.7527783786745365,0.6431631282014448,0.5921788527405281,0.5796406443295095,0.654229520938223,0.7151852006175566,0.5954310687870449,0.5476106788836426,0.5699870867931058,0.541108918858837,0.5519120714248245,0.5749585665011405,0.608556794988262,0.6447124547181765,0.7371542338966912,0.7234341523801142,0.8593470996482397,1.305305894192879,0.9618189831446703,0.7739326586680009,0.7062467036602454,0.7605511958876215,0.6712998390495745,0.7211044176769134,0.6483988691616107,0.6235448944206274,0.6255193674875731,0.6215342843106406,0.6174222900530864,0.728309197888584,0.7290103264208345,0.8782088252730698,0.92321710868537,0.8668349534699334,0.7234966428499944,0.6292095297336511,0.626916233006951,0.6894285881086625,0.6903237593567598,0.7095391603947228,0.691356164294129,0.8045056811362197,0.7254042644116114,0.785541574286632,0.6973622633616091,0.7403705208203997,0.7475499001859295,0.7931348612391649,0.8152485805100066,0.8946190477313005,0.9833231062631936,0.9761390484663696,1.0256665607996138,1.3332061749713373,1.2247364364660303,0.905666550192435,0.8858251925531401,0.8475284207890782,0.8787669193966725,0.858516429732079,0.8098616397193426,0.8507336736086605,0.8543174990608555,0.924475756883225,0.8958254813748745,0.9432848721649496,0.9234417501983847,0.8757298315427644,0.8988801590029665,0.9457800205514212,0.9085831890016519,0.8500185036150171,0.9344786367914222,0.9313337660996308,0.8799644956762823,0.9078240645139956,1.0319663847267269,0.9970970993403753,0.8827495887897504,0.8120355935634466,0.9574009806628122,0.8339332973794265,0.8185137604659697,0.8433185261132711,0.9302609593736648,1.645143090559139,1.299144538947051,1.5869770475133878,0.9096290843571544,0.9226695407808817,1.038008034722818,0.9805453795119998,0.9810856099779781,0.8906391652978866,1.0312306405830869,0.926499037531607,1.078537351674054,0.9822419203844045,1.0399181228799959,1.1693938779916984,0.9847304513379922,1.109960663988894,0.931836849061178,0.9114620723027431,0.9288219202825785,0.9889136152916609,1.06477909775378,1.236480654048471,1.0842392106404792,1.0774705768477801,1.0559103627568593,1.1104342664040459,1.1487178105663824,1.002578886081919,1.08400731629526,1.1668098106562104,1.030556683314227,1.0347018805777373,1.1415456933015733,1.2677759912690048,0.9977569788929804,1.0058241989913765,0.9541059584284265,0.9500804848545285,0.9400914719344843,0.9010736065915745,0.8871969586107209,0.8751687687977943,0.8821618847185948,0.8257890975791234,0.8184253822377783,0.8338669598960025,0.8399940917609928,0.8986088010417415,0.8238221510373198,0.9258786124914228,0.8711308730796404,1.1083938849977404,0.9189247220675856,0.9323844713254739,0.9690106873853358,1.036028018228303,1.2276012753295653,0.9409231216293575,0.8432288926335693,0.8786993833056836,1.0590914279012842,1.1044160103538705,1.1100084001849113,1.1070035698501832,0.9798449777776344,0.9068739860539857,0.8420532372293931,0.7925790984555519,1.0804244290047276,1.0260790209472068,0.9668531164128824,1.0930358190455522,0.9382310438025492,0.9500083045171083,0.9515959446056368,0.8775140559610886,0.7367670222482744,0.8783665200368038,0.6853978155064296,0.894198719107183,1.1325200108567892,1.3527604954480494],[0.36459545962458223,0.41372591170916456,0.6642766131534992,0.2847668038950998,0.511081436550699,0.4310608001609026,0.37134437000144693,0.47193340396780986,0.4301283301364664,0.3832670653834165,0.3908039228863324,0.5166900059780883,0.40731698662974253,0.3560646027343155,0.42657381008127,0.44604706451447,0.4454022673948159,0.4560406556455036,0.4290860031842752,0.43298402727340424,0.46574683837904624,0.553374862617981,0.6665950495058149,0.7850655004852048,1.0219675360998302,0.5539875020175677,0.4152465715148643,0.37894193619864214,0.43997545607424754,0.4309795870949732,0.4725168356822954,0.5264939603784525,0.539396305658783,0.5425059221697782,0.511326405006608,0.4362637807786575,0.5158647703293514,0.46009805446864677,0.3995091243310397,0.4799962776984592,0.5817059846301801,0.5596229213872084,0.590166646710453,0.7708765762995624,0.9788859825908091,1.5023653730741255,1.3238530315170178,0.7045009230079724,1.0959352070107202,1.5400456367575124,0.787882548292226,1.8756925440776415,0.6643266953029199,0.8175882193526413,2.065083219206714,1.325089547801952,1.4159769598281988,0.7742190613289219,0.8984412583905714,1.808465457605284,0.6857548040458321,0.8164555969424278,0.7992178199393799,0.6444833112970111,0.5753364143254174,0.5433942528213805,0.6215612178440699,0.5307265148552791,0.642277813781541,0.5842822188690769,0.772257339469009,0.9034395328515687,0.7320252397822089,0.7498209108159977,0.5381529752883499,0.9723402019643738,0.5235286733226195,0.5025939121986837,0.4774418892197998,0.5009041670377449,0.5309398735709602,0.6778148760543647,0.9579818099217989,0.5541605999239755,0.4956088108821883,0.5016870187332256,0.5138160377504372,0.6455947916615047,0.4445270182634339,0.5852107985762173,0.47744792055986585,0.5748702931239957,0.5376769766534053,0.4843378196674622,0.47332682337966187,0.5167996791188096,0.5457685650974318,0.5256918788795769,0.5670980847486365,0.7555076392626846,0.5697155574883805,0.6735833850871189,0.6114803396344861,0.6760893113084738,0.6381154165284005,0.6458589981156821,0.9143529469833129,0.6277031257080866,0.6317040095990327,0.8194125693621479,0.6181841276115418,0.5149490135307269,0.4115638473469509,0.4176973542256588,0.3483385011768731,0.3435210510453424,0.4728421149348205,0.37009194104656695,0.44869453709677987,0.4392403817425548,0.4168777380822671,0.3986637592427595,0.3556383008416091,0.3195749874671256,0.35437942662847677,0.43302101554759215,0.46472887595558565,0.4736498549316157,0.48988078108859867,0.5113817089907512,0.5216551205678431,0.6312191350219132,0.5124299093340278,0.5632257108222433,0.42280763325850323,0.5340766464507831,0.5896186448523355,0.43625254370488836,0.3933233663954379,0.37036229828429507,0.49127920998769986,0.5459299062169738,0.4549301017782874,0.3429921231906291,0.3631525546156177,0.36282212130055475,0.3603653914400981,0.3879352444683691,0.3979987056028847,0.45272377818528736,0.5497903484759098,0.5471668109521802,0.7096597796396498,1.2157303758792484,0.872229204728824,0.6214031574949778,0.5413988610991535,0.5736338980111788,0.4912473968562647,0.5266658134213305,0.4211402067936001,0.422737623569458,0.41783026226641573,0.4126796724727477,0.4169887446348627,0.5973482286307854,0.517624718968982,0.6952253409509914,0.7355285232059995,0.708102126894936,0.5150217869354892,0.40690371087007343,0.40735730593067,0.46795657639994004,0.4616465802277322,0.4941280634797048,0.5102121622327632,0.6765765874105194,0.5002038293206762,0.5705639157486392,0.4768222803585011,0.5200696392261066,0.5197363738487873,0.5500291808360848,0.5768780560070454,0.7281026408453882,0.8249287675824286,0.8284839595221926,0.9334622082861698,1.1666367988326076,1.0912324591813456,0.7953832318340925,0.7033459837977872,0.6398670288380792,0.6246451130052547,0.6276799205452251,0.6048002300507506,0.600989424414643,0.6086988393124512,0.685577041495871,0.6339037252436284,0.6646605974303563,0.6523703715443943,0.6093323324261093,0.6245737780150259,0.6622091546287866,0.6897796059169107,0.6002429511804146,0.6808211905942607,0.6404677448960189,0.6294559114677566,0.6729768877880888,0.7643559703756863,0.7088519876579609,0.7211066161044464,0.6957272394712265,0.8147121549078741,0.7373219135541809,0.6545142015663442,0.6740520189394086,0.7719442205806325,1.7330830895809801,1.168406575113032,1.5363611487931823,0.7081906493696262,0.7296584845956073,0.8414233385061146,0.7758704163871446,0.7750940816591173,0.6552732471245825,0.8418124101484445,0.7182545204490205,0.8922993288311133,0.755839743712377,0.8728339133008205,0.9606219296500512,0.8150999980629509,0.9476211467133705,0.7109636536112873,0.665545315660931,0.6947478777285045,0.7717661801771512,0.8642507106362878,1.0394626245909009,0.9033104789208892,0.868123969320523,0.8374385245607147,0.9291409809521058,0.9426362751525462,0.7572363243434798,0.882029477164868,0.9865069305834102,0.7899672283495919,0.8187650468954224,0.9756422825282633,1.0784488951349964,0.8052439907296316,0.8359951020160268,0.7632563432688424,0.7425355718111256,0.7000348463913072,0.6757663922169678,0.6820103425778716,0.6431365093181454,0.654454562599551,0.6068236738949357,0.6150437238312775,0.6001391885945145,0.6196669115818384,0.7549027040418599,0.6407789329991677,0.7176678116164956,0.7117638916595446,0.989282134895241,0.8029477488613513,0.8027080341938332,0.8657987411106604,0.9753294119659455,1.10812347330872,0.8273941136795023,0.6901604283465278,0.6484258794837766,0.9056553702969151,0.9350820855044667,0.9641341161321838,0.9700462204473672,0.7839754127229529,0.6908674285345442,0.5913399322109222,0.5536925449399851,0.8041674856587444,0.7528033621105599,0.6814005594003584,1.0152543576382915,0.6943765665176386,0.6729196535255515,0.7089311232117145,0.6995820594759755,0.4979106269608451,0.6629797516612871,0.5263114935257187,1.1145198116340327,1.3499684193464363,1.551629883148667],[0.45049803367241686,0.43416111309465094,0.6367442685977814,0.3447679205303196,0.5053180052689642,0.411178872000967,0.3436737074827251,0.40564226910688633,0.4133917594682928,0.3772518494829138,0.38122128582139836,0.47874231197988437,0.39446137762618444,0.36174458458418113,0.4350465674622555,0.4221282926524053,0.4454865951824677,0.4472090636512285,0.4424746848895329,0.4334869014726744,0.4836113640324572,0.5444404699528009,0.644544251192035,0.7930391243898945,1.0540133800123055,0.6275261346120332,0.43685839696055995,0.3724061251260569,0.414903279963538,0.39768902104229775,0.47035759708471014,0.48226320137458967,0.4979850827305564,0.509145669601613,0.4614787187718539,0.40520534911977474,0.44286531710885113,0.4154277302730381,0.3645548488109798,0.43841386345999184,0.5698618160831274,0.5143508863692685,0.536876104080608,0.7190658153917765,1.0005221608105936,1.5387111108626168,1.3969396238909124,0.725872934966202,1.151531233052344,1.5369020888501432,0.8132404303830406,2.0025250674324453,0.7286750244288956,0.8212193152762509,1.912578647155131,1.161873862885055,1.2563253238802168,0.733676789197289,0.8198931714825717,1.6586815091449632,0.7037439422202961,0.813707064212494,0.8750540599027056,0.7502417003596804,0.5730224539594369,0.5390788302830879,0.675494885882524,0.5201074219032503,0.7085961039798764,0.6114321687090077,0.7847267459124997,0.951373839641183,0.7432036932353943,0.790709103207256,0.5778451697289595,1.0980053841283712,0.4985506445115778,0.4765683439097777,0.4344733363464166,0.5071895253717247,0.46837721414402345,0.5784648336912822,0.9830612678295105,0.4871874343928381,0.47597588112556555,0.4265476756710562,0.44057273539479147,0.5758417359455773,0.40425183614209853,0.554309211476563,0.45644316118861017,0.6209100236185137,0.5727355120723163,0.4898465122155414,0.48133403210259373,0.5413965726010113,0.5665290356676179,0.5028900965241102,0.5258249583514641,0.7196642836668539,0.5095837672079577,0.6043815294723152,0.5332535950857097,0.5790488873889906,0.5607809087090133,0.5744325490568633,0.8449664867140788,0.578907259432523,0.5892206184150879,0.7722163490581713,0.550125330408808,0.45171325772354476,0.37473793079833595,0.3952062730514234,0.35289904241495107,0.3364685555803215,0.4669886418879323,0.35115507851656147,0.49863468331184413,0.4905046273800756,0.4761691011987609,0.45295622388278434,0.38082269911331246,0.3437648378827851,0.3702683210520455,0.4128044342050034,0.43283675408510547,0.44996302717555703,0.45393368954039887,0.4629039237829385,0.4909646907809455,0.5844867828373649,0.47899100880455836,0.5258988792214169,0.41431445031673253,0.5560021050514335,0.6068902868662888,0.4134703909498374,0.38499360051079085,0.3536226034702689,0.45407681836523756,0.5532945470505995,0.452076530727876,0.34902505403891065,0.38554629696220816,0.35137346018650567,0.3335612335957705,0.37576225688086784,0.3522640489458175,0.4129854371107662,0.4745289886707368,0.4737622427397252,0.6680556595405721,1.2391243994623744,0.8643063351415893,0.5536064701312564,0.47421421525616037,0.4897157426461468,0.436802403758329,0.46989835356603765,0.38369695453130404,0.37844159723155896,0.3830259891896765,0.3838028079538994,0.41301244141227883,0.633363470853906,0.5307973234206277,0.722174201407214,0.751500986513533,0.7211129266045613,0.5214751289526378,0.4014127665369051,0.39527594282853656,0.41898460574484725,0.3996448239456604,0.4234349182347121,0.4556832120667945,0.6249692198185571,0.4382184624667926,0.4841716457125545,0.4329193991548254,0.44749232168418296,0.45923651977782515,0.5099925273859852,0.5371396895660748,0.6875939430479295,0.781136746300212,0.8589960080025622,0.9837658604009808,1.15658652215152,1.1244267599635678,0.828627335066537,0.7262858572670307,0.6519470359146606,0.6362345574638478,0.6409523660051947,0.6082836836977127,0.6034394410948791,0.6197382685578314,0.6674843885626822,0.6309170253693144,0.6372098349303634,0.6199531609309724,0.6180044654302067,0.6332660773989909,0.649925111305468,0.7040954470308173,0.6354782374158595,0.7013305391399764,0.6537319864292165,0.6793503926349839,0.7359077047026227,0.7955755271230315,0.7698788877644107,0.8038993291871004,0.7515505926041465,0.905334503055412,0.7970293698976455,0.7250814170446594,0.7566530350522364,0.8522406855638748,1.6938505614781953,1.2514806509627112,1.5647647259144524,0.7562862503472486,0.7609477048832716,0.8555550815875499,0.7952451184429034,0.8106887954501795,0.6805592762169664,0.847300722062606,0.7521015596777451,0.9299452396299499,0.7786131129990741,0.8827361180514549,1.0234200289196993,0.8573417204032919,0.9873556329039965,0.7299921963512633,0.654017147365397,0.684038765450701,0.7648050920665131,0.8526926487435574,1.0336099720036405,0.8873184923122419,0.8476561593038938,0.8341138342103543,0.9219063026859278,0.9119868234121303,0.7471448253797743,0.8900541834403163,0.9818916521728491,0.7849448525335962,0.8509432555832912,1.0215278620246855,1.087139538806738,0.8523248681220064,0.9042222952048147,0.8178462981513733,0.7924353587244864,0.7289937352081121,0.7138800484528578,0.7421142764810709,0.6906112068843195,0.684406882119858,0.6691965919182388,0.6800352877134916,0.6431646029239004,0.6801130264991729,0.8239096725555966,0.7011451514368745,0.7758159660109847,0.7696382764902655,1.0554379060664059,0.8636571689821273,0.8553313531600198,0.9590106758541516,1.0538398157676347,1.1954483657628412,0.8994794112471131,0.7315612864312065,0.6913388356180258,0.9369588301766091,0.9957642514131887,1.0561926179254046,1.0207861890778032,0.8219799212656176,0.694952713187093,0.5824030323453385,0.5296054061248755,0.7581408068906014,0.6867461241161975,0.6331923570200918,1.035226456535584,0.6217445320361217,0.6237068480041595,0.6560985538354404,0.6512098522709323,0.4442737635566517,0.6463845592259596,0.5483979156447366,1.309940602627824,1.7586352798002947,2.0345592969744764],[0.5265302730179559,0.45040872876859234,0.5819910119997267,0.36771825695057064,0.4838464064261128,0.39691222885663424,0.2939061452200355,0.3448424714293498,0.3475504968909496,0.32199065873733484,0.3273910837427171,0.4130403998381195,0.3343958355423596,0.325931400265945,0.39303110626421167,0.36060799172260677,0.411715571264467,0.4157681036854657,0.4557564731166352,0.41484045515790885,0.4867709505945011,0.5355693120751595,0.6363926511522983,0.8156881758222936,1.0317877350379439,0.6532914840099846,0.44502087891473774,0.35533075468263237,0.3709076145644658,0.3531400216329864,0.45061530444082315,0.41176070133052867,0.43458953619149765,0.46081741192429276,0.3989350626653688,0.3704365688171294,0.37477106197798593,0.3780596125206699,0.3441075781533389,0.3970516754448273,0.5699157088416346,0.5032886094018643,0.5179653436749909,0.703128859876371,1.01356754010412,1.5404332600035868,1.412495626638771,0.7670246042779852,1.1835970448233384,1.495495326675317,0.7931899673101651,2.0611399608876484,0.7568241006440637,0.831912469118696,1.8226653167656284,1.0692513738559037,1.1751506515518737,0.7285955696574653,0.7846879805543806,1.5781715827763154,0.7252279633267128,0.8073212117984397,0.9199699329550113,0.8027403735236673,0.5742357887757871,0.5299347705432234,0.6841557656629499,0.5015526741519156,0.7275553931656351,0.5790032589346973,0.7824654770503595,0.9913626414046471,0.7349104481390608,0.8197834600707875,0.5853445828381193,1.174481799066965,0.48443187486234335,0.4575799212597111,0.4027165932075076,0.49731669923529703,0.42335348528456146,0.5244108577984282,0.9949698777159933,0.4558068199205034,0.46525374541830206,0.37930273209832416,0.39303506318539866,0.5113397440974085,0.3601185925455119,0.4897035781938109,0.4473407217755328,0.6576208582793258,0.5699253095449408,0.45576867470330135,0.439922042359292,0.5156820351765876,0.520936659328711,0.4517003633804597,0.47997746729292334,0.6874911325596035,0.4636602092583064,0.5530316103798224,0.45938517926665023,0.5296988023704156,0.5350732582696094,0.5552506775060209,0.794917310743854,0.5369932038978875,0.5448303579093775,0.733177508411649,0.49706035394754233,0.3944606038937968,0.3124530419693566,0.35928817292525544,0.3320684312320209,0.3217940607853853,0.44605212237265934,0.35634630725040717,0.5320216041136767,0.48954284343854393,0.4782158143728014,0.4392739384167874,0.36746866557736757,0.31474245653596544,0.3386410433525571,0.3846145951999984,0.40221508170684905,0.41709848893753043,0.4258650623571213,0.43419612434288934,0.48352884439772303,0.5600170018151522,0.4561232405358023,0.49438243411153804,0.3985357359925904,0.5354619901649263,0.6209721827398356,0.39706875211622944,0.3772512641699618,0.33935187953984974,0.466162436093527,0.572512837553237,0.4532578344894655,0.3686079082998841,0.41071621667467967,0.3315905768480549,0.30908072417320775,0.33777338548247143,0.2946021710650505,0.35439389669886484,0.4314414170850362,0.40946499454947294,0.6475861309250914,1.2603719584114845,0.878676690962979,0.5071348652607555,0.40500523853605924,0.43455701695631865,0.3617857296427201,0.43024160129809647,0.34331866149991647,0.3364092692807035,0.35942863541040765,0.3629318174167952,0.40414736322552824,0.6100377073071066,0.5168672260484216,0.717569114538624,0.7479678820436739,0.7116657966457616,0.5181188551664677,0.39721462499766136,0.38641193310998,0.38686999690304447,0.3620556142430936,0.3816818105582077,0.3794328440400585,0.5835230049727022,0.39776919521774357,0.42822729749963395,0.3929750139152554,0.4143191029285735,0.4192798488898136,0.46863134175189514,0.49104588247609093,0.6606980903634821,0.7457527550680964,0.858261572670268,1.0065112658265951,1.1171866968666737,1.1370986030691934,0.8631333866190585,0.7472254441115185,0.6465848469542799,0.6517292322883864,0.6583160149290814,0.6167601494429255,0.5992020942098027,0.6199377095682657,0.6640438650565217,0.6042883819465108,0.6047826829061561,0.5920444255054735,0.5988074042273858,0.6033225419805597,0.6142351879657474,0.696722615169534,0.6099721527653986,0.6656627323215534,0.6236548947153092,0.6600278826059306,0.7097545522187441,0.7566852976585463,0.7494642957590898,0.7934346841783252,0.7452214937344206,0.89357364892168,0.794852822444346,0.7137155467132329,0.7424673843816827,0.8420103866416253,1.6898343207325603,1.2269623652818193,1.5501816274557292,0.740224931438937,0.7413644213437487,0.8288280071996548,0.7778208550332246,0.7704790700470721,0.646808281556905,0.8254296964336592,0.7325221045416545,0.9020860237435575,0.7516229053379293,0.8888125281883908,1.0060251640596167,0.8434240166575125,1.012887454262547,0.7227294963291997,0.6445951701242498,0.6612613752886506,0.737921929625137,0.8360856895671633,1.005897999211172,0.8830247915371398,0.824440111265371,0.8005027643202131,0.8993545669843538,0.8824818462436552,0.7080275612455185,0.8514901799929815,0.9445836015488247,0.7419807861237233,0.8079393756841641,0.9895524510763111,1.041741074429873,0.815872771054868,0.8709160025195938,0.7815518935964268,0.7531687320023925,0.6926223550169953,0.6817136577619889,0.7134036444858445,0.6639176094901605,0.6578205287208013,0.6541341960712554,0.6727006714516324,0.6320603197397555,0.6678218684590264,0.830365313652313,0.7019534517867996,0.7698453047936598,0.7736701046585119,1.0553433888164754,0.8792517614333281,0.8652673558521875,0.9913254753246562,1.098861208049564,1.1835357829655915,0.9067030174938266,0.7296818901833049,0.6803307813306501,0.9142876638527909,0.9898470671402573,1.076162451164681,1.0328485310072992,0.8258230190077719,0.7068795083600771,0.5860016489654236,0.5101839379872136,0.7242900027212772,0.6399059586193968,0.586620901456059,1.0770317040786943,0.5660370411888076,0.57479234981678,0.6013449522368836,0.6562242493546192,0.41467907960246553,0.6049560706319744,0.597752996360547,1.4205698154318895,1.911602464419929,2.3297593543906094],[0.6261297388890092,0.48319090813097293,0.5442220108971885,0.3564792385819552,0.44921868798912024,0.3941440741997967,0.26854010965130765,0.31625516440293705,0.30646961717088855,0.30032020521875397,0.32459974311464945,0.3932250282804067,0.31757070092448175,0.33746194333432017,0.40190420894213014,0.36224405523861536,0.4290814388402729,0.43126253334711306,0.46351372385988293,0.41669516087611946,0.5002203724750591,0.5345351529958933,0.6376851643009602,0.8000984686624417,0.9666786849439188,0.6451221154386498,0.42583843188926207,0.351992533329341,0.3671374370262807,0.3616653451931152,0.4811844884845255,0.4060658480785043,0.4700234756709497,0.48824250070388586,0.405888481748096,0.3879685068710965,0.3821691108133125,0.38410092181700295,0.3432272417392101,0.36019327362298575,0.552383653639136,0.4892662662580889,0.5066042654132642,0.6682477220804195,0.9737681626503539,1.4652019323793068,1.3457109270011056,0.7458036858630982,1.1782503552284573,1.4272833584870002,0.7455511449556592,2.1229388132879263,0.7909211128460365,0.8131172453861173,1.7010218617260928,0.9689421507007441,1.1036571567677669,0.719981758750359,0.7698068921644038,1.5079425982721402,0.7730848124113402,0.8625259725761545,1.014776255958473,0.8850029721383423,0.588368772528293,0.565581985479836,0.7312658616540934,0.5461688323278405,0.7819753914044054,0.6018110132608948,0.7949320708638418,1.024393634135741,0.7553215897208355,0.8799329894061059,0.6067772333706535,1.2216016987676206,0.5043895848615958,0.4944530564699128,0.43271216653731454,0.5210737044640362,0.4271471682764102,0.5132103594296964,1.0093867086006394,0.4315794476653764,0.44208883320221226,0.36079562304153556,0.39077761077544215,0.5196947227092823,0.38727854001645995,0.5153265783901326,0.4772600701439332,0.6979495103009276,0.6124641510552313,0.4926542783994333,0.4639101340885725,0.5505053861176687,0.5399302931180135,0.460438160648593,0.47855191694806587,0.6963436038008222,0.4690030173500062,0.5442745627629567,0.4310985936160184,0.49131857103783944,0.513496966939479,0.5144000004233636,0.7457657977407715,0.4844327690622725,0.5002982411897198,0.7120803409913712,0.4463337099377553,0.34231602785937687,0.2733115552319815,0.3343404235399383,0.322358798129294,0.30821464961439454,0.40443878822756496,0.3671747262955366,0.5556595963701436,0.49393739896579186,0.4912085481792305,0.43850391063606287,0.35046088922814445,0.29200068419958375,0.31728424083821377,0.3575385277986165,0.3645442217198754,0.3748443234331249,0.3843298033801529,0.40886335157983517,0.4334812178647092,0.5008371338476032,0.39403498404728593,0.4691368434951835,0.37820902739035206,0.5219878375650169,0.601446621272731,0.3751482992279621,0.36295249705453897,0.3174655047410482,0.4634550469666451,0.5685972451640958,0.47816751621148246,0.37640759947669394,0.40242304617407043,0.3440270961616073,0.30924987121967945,0.3250391154388946,0.2747285584313224,0.33280118871826786,0.4116994224128342,0.38211844476099194,0.6359365791403884,1.3208167436820877,0.9046102119440077,0.5099335612423396,0.39150330042015663,0.404323720816389,0.34052477304188994,0.40611911956812385,0.33321490295373385,0.32487439128598283,0.3373317993350881,0.34793589510523776,0.3853520596105439,0.5965793883433219,0.48169786188679253,0.6814325103618278,0.7056542646379238,0.6723901000749813,0.4811805794790948,0.3804764224514013,0.3701080600515448,0.36632260055504207,0.32286858969300336,0.3518360721142399,0.36184189687886814,0.5622554536551776,0.3644123213489277,0.4124561586283539,0.3579021989227563,0.3801402738460705,0.3711326011481397,0.4246328856953805,0.4432774747588987,0.649450257327408,0.7168331571687375,0.8326407373435699,0.9963927014426668,1.058972527854956,1.1279939864941042,0.9111640233224648,0.7479391223730032,0.6223834653445321,0.6052530227033206,0.6033585206718066,0.5641028525942778,0.5485125107345071,0.5687344355490495,0.6201803111106918,0.5492051284653567,0.5558433003895203,0.5422752613500657,0.548518714752362,0.5523120567061809,0.5616751858979961,0.6664904753000597,0.5720699356049621,0.6209573925979527,0.5786276293805315,0.6274800921974045,0.6743968500977782,0.7067444862983231,0.7181369084285187,0.7717888353087002,0.7294445379445763,0.861416629077318,0.781546446935105,0.6869340607731084,0.7103155384670237,0.8023701105448933,1.7273252481033714,1.1871238160124782,1.5548531943957333,0.7115244594790964,0.7136695102145504,0.7877896059994143,0.7430315478800477,0.7197134642157154,0.5972741102239381,0.7896904239930418,0.6966839717648193,0.8672522758564564,0.6988103566732705,0.8673275925076839,0.9516038703836802,0.8096038792239767,0.9807569426576289,0.6702489112414086,0.5910922712763625,0.621650053647538,0.7059495389836159,0.8126858859209262,0.988654205478962,0.8749000946046344,0.7924782480747923,0.7685925894476864,0.8902616496595549,0.848871249188075,0.6638937808096176,0.8221121568596359,0.9145553670353089,0.6992475300794605,0.7731191596636167,0.9660931914420131,0.9980572521947674,0.7842109323170243,0.841823542835007,0.7507242962244272,0.7171853694275586,0.6550261194910441,0.6474054965971456,0.6776252106256321,0.6261880878479373,0.6219927990453323,0.6172273146543211,0.6409727254559853,0.5914609437169076,0.6296300720731465,0.8068357100369503,0.675251119175805,0.7294891231168943,0.7406234482751527,1.0316778910376903,0.8662945432152243,0.8544335806307874,0.9939168696133408,1.1104755755888436,1.1637045036918359,0.89432311807766,0.7160989160919469,0.6542857101261068,0.8934455966542584,0.9617387716825956,1.0565020232674183,1.018173340073494,0.798909532722735,0.6684441832564124,0.5386075786480233,0.4710766832526416,0.6597083093514547,0.5804123129052341,0.538600839909014,1.163929116674566,0.5158771037625791,0.5270016745237844,0.5646283577961348,0.6738128792071513,0.3952145337632284,0.5903498916576982,0.6403538173779274,1.4937701417334208,2.0576009043467414,2.630127516901398],[0.6309480922107947,0.4906162521757708,0.4955451186635226,0.36558274663417634,0.4427858137854092,0.4115056100741783,0.3047293996404246,0.3313686639569865,0.3433820124929004,0.34590096855567376,0.3730306165223038,0.42812785470199827,0.3617427355872594,0.4012526516521619,0.46880016046773415,0.4315316837517033,0.5051167366060415,0.49788957264415734,0.5335249950116345,0.4899482426298997,0.5781402337902404,0.6026011963435409,0.7001591626119333,0.8798566543132069,1.0250934890280679,0.7358269808579343,0.5269661081730337,0.42378825424950817,0.419500203545475,0.4307318534405742,0.5477392969254494,0.4605249428856462,0.5402226819634716,0.547932772287863,0.46449845837588477,0.4705316290360258,0.4364200307949744,0.4495288601330883,0.4242063808829806,0.44071305919486425,0.6054897522988232,0.5558909081837116,0.5755301916667753,0.6951737800639028,0.9839676758528343,1.4580371777534797,1.3942398405063168,0.7777201429120851,1.2130183128513468,1.4344966764241307,0.809044280939676,2.174417833772611,0.8890506475055943,0.8902662433904623,1.6284340968244906,0.8974291617515919,1.0184691395625907,0.7757438294644996,0.7887157641011187,1.4559738623189702,0.8442639316144087,0.8938716769105183,1.0796406126687976,1.0066914153930002,0.6731730703688453,0.6468494194541654,0.8092066579785742,0.587392551505047,0.8393190144501114,0.644953292162746,0.8082317947304054,1.0400889154947963,0.7852543597450763,0.9374882158490038,0.6665679654477097,1.2880894992388927,0.5770495270224134,0.558368593061095,0.5095074058303054,0.5899000870628585,0.48839451760211466,0.5518892362429734,1.0353723302260602,0.4817803667785653,0.4973073686994717,0.41996938741014417,0.45802104302879443,0.5549687659556723,0.4705600330951736,0.581380188461141,0.5402391859032131,0.7863373723007553,0.7079215262931259,0.5756875896098047,0.533823269219107,0.617686823651938,0.5790674812764721,0.5078421253220515,0.5091429018345336,0.7114851974073156,0.5120838360231523,0.5316778480287233,0.4419842936521457,0.46000903531379855,0.5000122936772518,0.5081927535971638,0.6970265159093186,0.48419642265286694,0.47948357418926585,0.6878091574576818,0.43018170107168174,0.35947895374722744,0.3131956340141427,0.35551867028767414,0.36852625552898016,0.36852622361579673,0.43707413163752923,0.4182883661849341,0.6277201312762088,0.5816196394926232,0.5795988438353485,0.520689089582574,0.4040188145765317,0.3414013565707661,0.36300434379498714,0.3707893201644606,0.37785428094432644,0.3898056026471697,0.40246846084435656,0.4394747755383794,0.44607153190524296,0.5005286676872904,0.4273222567681297,0.48930337020890835,0.4317329321162786,0.58676781348882,0.6377444458267736,0.4152081275268652,0.3935014363666053,0.3659443849016203,0.48733596861955847,0.6104683498075147,0.5134078722961228,0.43098676929622115,0.48174208497808907,0.41661808524157057,0.37788735561070497,0.3680692596346586,0.3300764775578183,0.3693117012076368,0.4195038734032743,0.40167352652065513,0.6528353377453308,1.3942509099739073,0.9735302070176077,0.5274485547081469,0.4172070541087168,0.40038285523425665,0.37627901887856174,0.4099093066991434,0.3781679690016767,0.3857918476961161,0.3780312013780349,0.4009810894630696,0.4211624929376298,0.6623988319274215,0.5284779662306989,0.7264889326333157,0.7455096118440286,0.6957370870250623,0.5160694804580533,0.43066005475680913,0.4164957328636305,0.39277270580366047,0.3682897272563688,0.3947059463632005,0.43792074576409507,0.5947605653577087,0.42877950218446087,0.44938934610758474,0.37940794989593724,0.38257475935886986,0.38095594555798074,0.4388305342007392,0.4705305248115178,0.6636317961914745,0.740681429778632,0.9124849759572743,1.0437556073130163,1.0570966958583659,1.1521348412785375,0.9724518848642415,0.8274779095486998,0.6839842690817619,0.6450233284196132,0.6243257421053282,0.568669155398823,0.5591338785386175,0.5853630683233276,0.6295246008601126,0.5474926976791858,0.5489334400636147,0.5396408864057629,0.5526592321256378,0.5501640974214727,0.560968540759708,0.6858818719344203,0.5782883072650102,0.6150923662037353,0.5838832558541663,0.6442784253231698,0.689994606479651,0.7144006870730181,0.7426424470143626,0.8025455232039864,0.7613038096281568,0.8882877866914523,0.8095897323851423,0.7095245029653096,0.7280649318372221,0.8241924290808649,1.689654182440141,1.1682914200280985,1.537414218527949,0.7097354400287089,0.7002624400941586,0.7807329801913938,0.7536144149421239,0.7187009399902579,0.6002897276458151,0.78661817463747,0.7216513368944873,0.8721633446464664,0.704210946705079,0.8941753664265328,0.9782954876011275,0.8476284738792824,1.0157596101109074,0.6799464685804025,0.5917564227996531,0.6231504979923571,0.705748331241861,0.8106399854969798,0.9610902211802197,0.8665336572443694,0.7776437081585281,0.7480029858879459,0.8599451475888924,0.8160379400278307,0.6402817681265075,0.7982700358514342,0.895145851863972,0.684763389129146,0.7509578986226957,0.947289499995453,0.9928331927598122,0.7814924889154362,0.8298529770056687,0.7423379472191239,0.7014152806150074,0.6365622058406761,0.6364891391001813,0.6742690007780848,0.6325749376802193,0.6121504726734968,0.6248650903422857,0.6521429314111009,0.6004333167941408,0.6462032547271221,0.8420241817772215,0.6997704324157945,0.7635551015419211,0.7773572704972144,1.0559195908324448,0.9015936459219313,0.8788144073610393,1.0496696056990071,1.1600640279745302,1.160310131553463,0.9079326803227297,0.7369269311301596,0.6567909717016233,0.8702049499471992,0.9433264952633511,1.0551345491464896,1.0122708103220075,0.8063580795108366,0.6560927152601921,0.5379236441810672,0.4704209745091725,0.6214008310529023,0.5639991007709911,0.5237769446177628,1.1753496364359,0.4980200895461275,0.5100326676504042,0.5225718179184494,0.6726594248467765,0.3947763831721551,0.5655832778263398,0.6772056622700857,1.5379716685537075,2.052742793794345,2.762707015932235],[0.8071202698477093,0.5645961910357515,0.5044952588264245,0.4002224203134023,0.46682530113816406,0.45102458647371974,0.3440545903604422,0.371383781761437,0.37072156115928856,0.3614022415475053,0.39010704639772853,0.43561108385698705,0.372230595346287,0.40092866124389137,0.4747856723780089,0.4448136839227463,0.5041625345716315,0.5058588532805277,0.5243812598344836,0.4843896439100922,0.5798639387796054,0.6009029936560039,0.6985831721919665,0.8655184836822398,0.9503939661597554,0.709639618637729,0.4967419961477705,0.415481094176001,0.42579575985695745,0.4512705267961726,0.5577294301019442,0.47490145735177686,0.5652790788807196,0.5590635406233282,0.47756191137331233,0.4836359695074595,0.4589203957438259,0.46419360339276444,0.42164983653201277,0.4392672865111498,0.5908597612615245,0.538511206529118,0.5532921406795294,0.6498418204202081,0.9193854993206183,1.377745537993811,1.2854049114105597,0.7281945770038228,1.2315029555103898,1.3758661237875411,0.7554121999918011,2.2740554588329522,0.9700774360501349,0.8991961695251862,1.548277183263414,0.8575948019599994,1.0000807068305466,0.7767269542147417,0.8077784066796583,1.3939269848991427,0.8928795886691108,0.9742997753043565,1.1730147195724385,1.0427281234737518,0.6558595041187035,0.6514441314540568,0.8146616911360958,0.600250464898325,0.8526328685981023,0.6359693313419176,0.8325018351220802,1.0765314660645877,0.7896151088998978,0.9444545031183935,0.6618592803635737,1.3010388928832768,0.5737236195461606,0.5713100144230572,0.5214143203523333,0.5997602537575983,0.5169626936618706,0.5848566081826447,1.0658553251592444,0.4961948282700333,0.5113839342460161,0.4324106931263591,0.46843439438282186,0.5752421296055058,0.48118350557785927,0.5940551054887309,0.5561246775462081,0.7794461348366108,0.7026781778992891,0.5822477649007883,0.5363138830673069,0.6221914059478802,0.5960996197475531,0.5265683084328013,0.5284773685452029,0.7344447667984554,0.5299338641577347,0.5716017452239324,0.46455127372975197,0.4834484565897776,0.5160516266480618,0.510689840333718,0.6869422482838062,0.46659622308444,0.4734754939387762,0.6935916892473067,0.42769086562997327,0.3629781228458081,0.3433759845509823,0.361834549523189,0.3702922202956714,0.3709194074188339,0.43041931337936074,0.40424604832769595,0.6081492664338507,0.5737111297116038,0.5475500478318102,0.4996877824571383,0.37335161853215837,0.3472905077743069,0.3507804048155345,0.3776371635123963,0.40067926141591587,0.40476296392752464,0.41209350262226296,0.441541730193486,0.4476945797806511,0.4890708986815155,0.42233329936070346,0.5023126916490196,0.4474448035275769,0.5579464205281742,0.6471550640073762,0.39871854032565285,0.38929909972428967,0.36410754056546646,0.4752699651391502,0.5607460405995902,0.5296812197181097,0.44095994653949133,0.45072726214399994,0.41017572559245935,0.3689733632799129,0.3718296362448771,0.3632437732810796,0.3945564521836958,0.44646028424160084,0.42647644006981783,0.6708974367854613,1.4543512034793602,0.9917918027400173,0.5606727442360524,0.43813961393125056,0.43017970803315236,0.401113226116904,0.44273797726479647,0.3954814445433766,0.39619774382458656,0.3824117375836508,0.3989908294719097,0.4190850309418865,0.6403367696104462,0.5119982072983866,0.7144452772186457,0.7437626079872339,0.7141421229129857,0.5165534192830374,0.42079830331838947,0.41691714532652746,0.39028289554783646,0.37168137270153095,0.4087062649640984,0.4420800205920768,0.6206819101885797,0.4152068634370165,0.46461623134641433,0.3795719839508835,0.40728501776905257,0.39751055914589756,0.4386457386638884,0.467111534095852,0.6776462655994288,0.7298556946507597,0.8798057640713144,1.053550164985848,1.0136218415590164,1.1430720782880477,1.0344025391166156,0.82132167414511,0.6682089308086513,0.5977562806143244,0.5837051210368409,0.5644605407828851,0.5272152826403578,0.5505328957097313,0.6024942628445484,0.5124549416338663,0.5271687729363931,0.5165214263136421,0.5185629045087137,0.5153895796335654,0.5258155535231929,0.6682309854563766,0.545175739968782,0.5591871795142682,0.5371178963107087,0.5968176769325326,0.6258682400207216,0.6487664904834171,0.7016377757299838,0.7447239071638447,0.727834221672128,0.8128026743815738,0.7562655412086648,0.6587121042447941,0.6758476085651013,0.745515892616137,1.8299572842772251,1.104064246633246,1.5382135987799455,0.669710900710145,0.6929562353896823,0.7775107815093963,0.7551616060516428,0.6520679155972483,0.5490364358447511,0.7593905968426848,0.6657079855868631,0.8049060541100651,0.6516576692496696,0.9349732139762625,0.8884387049361514,0.7928964913790514,0.9886806860352292,0.6305394387933825,0.5727568834351641,0.6168061259746557,0.7089860489615114,0.8251152961356866,0.94387507204694,0.8944377743403601,0.7833834233051155,0.7278448933900082,0.8851931425000426,0.8050085981133042,0.6166290893704965,0.7715305050303654,0.8610074990822116,0.6397745706324742,0.7075943619668915,0.8954570615850993,0.9102624752735715,0.7300374533509499,0.7719746810464307,0.6892361532280457,0.6506228873345579,0.5928433160655654,0.5928238193173632,0.6160427515319737,0.5868563533001265,0.5861252173200314,0.5759053415902624,0.6056574637274603,0.5650244248133048,0.5998832412136581,0.7653826317312635,0.6510804663049999,0.7150970324699695,0.7246210838738418,1.0007439161492058,0.8590962975762381,0.8434435144215766,1.0004848526018932,1.1551834003005326,1.076970462960276,0.8781337651494148,0.7214526019807141,0.6410393438727522,0.8732221394252849,0.904263386111069,1.0044482821085785,0.9948249999024148,0.7685686728915289,0.6419127728378785,0.524792345327431,0.4757950554495475,0.5841196431074709,0.526757199786845,0.49904829920915306,1.2638689308141526,0.478098283200934,0.4898715222261692,0.5303435301307186,0.7203142256699995,0.4377834892979907,0.5882514303026212,0.7643712259525107,1.5762439635765992,2.1263807763723186,3.003368199237464],[0.7095854501186467,0.5264528438555737,0.5230580464027089,0.43147119587676963,0.5355951243958186,0.48503574655614307,0.45015536778501475,0.4699718694343634,0.5005629591721679,0.5498853739534544,0.5905263451178944,0.6077968872282946,0.5748316974656547,0.6271883396567326,0.6759823849776423,0.650924683321196,0.7018715405365995,0.7278611472655979,0.7524373254613603,0.7275291644041153,0.8212369751409467,0.8322368178936255,0.9075566143759279,1.0426429432462259,1.0316187055608914,0.8563104603682031,0.7210145434085156,0.6735965094862576,0.6631616573369564,0.6343694716054298,0.7427527578972575,0.6289022188060228,0.7546025794914573,0.7161616563905324,0.6663734234289214,0.6787088053745356,0.6449958050321092,0.6802901622917192,0.6502229428841603,0.6388079398708479,0.7724772637536413,0.7413702148056981,0.7648495830124289,0.8122585477632486,1.064449157401243,1.4562442017816977,1.4300850585356795,0.9154329145373156,1.2743349838743967,1.4399974689159318,0.8939746278948058,2.2995200948615087,1.076009874072408,1.026696639487575,1.5544027968108416,0.9164759993472652,1.0589373536756645,0.8872105573060827,0.941901296914029,1.469766817647891,1.0990804759943904,1.1350382830607033,1.3288334551874879,1.2457504468225375,0.8698613457613884,0.8606244313049628,1.0092995174204864,0.8201665925195442,1.0309945565116128,0.8315302122304429,0.9442859273831413,1.1076590083368971,0.9221911656195247,1.1382227721752158,0.811939573647714,1.4152499069906859,0.7505575449603062,0.7617427035651709,0.7222946682359188,0.7560659510486104,0.7013494696571805,0.7205072037922481,1.1380110351983397,0.6115199986104585,0.6582342855612628,0.6149645890714157,0.6675662707604397,0.7320097319376573,0.6938439312021951,0.7571927977052583,0.7327054909361413,0.9679819981708706,0.9066833126410252,0.7701608647980691,0.7208668694123648,0.80059025494649,0.7645828924014018,0.6939679758510331,0.6909650973881455,0.8609266384356271,0.6617223126180943,0.6879813266737317,0.6145026988178416,0.5799166875922279,0.604954731969898,0.5920227878358799,0.7550344300141154,0.5488271218913741,0.5532125097434697,0.7596717286295877,0.5143365815339968,0.4943349971069903,0.4767232455237783,0.5368671847554172,0.5817365717326752,0.602577281125592,0.6756517167866384,0.6820017431059386,0.8709507248558052,0.7879140398619868,0.7921906738238791,0.7596491543216113,0.6570905992813466,0.5773955739720819,0.5449512992648073,0.552032154436943,0.4936987158798968,0.526617021534876,0.5047950335815731,0.5504909721713899,0.5374124904645775,0.5587513197227624,0.5373133367594506,0.6189794460472475,0.5757487581235533,0.697071966421201,0.7161403215318562,0.6063453891371147,0.6215693978088779,0.6063220983920232,0.7212931312051614,0.8242014037809918,0.7503086213881285,0.6584746506526333,0.6813056011211609,0.6405342532543643,0.6000148192442848,0.5613374345147586,0.5337836234545754,0.536807647771379,0.5395852395187698,0.5293187766119849,0.739215989111346,1.4573934745641484,1.0638047839296423,0.6838292720668133,0.5829489383308071,0.5474398918094869,0.5451354373825587,0.5696176270137175,0.5554196622681211,0.5841841969868725,0.6086461943127844,0.6226733837903023,0.624471541022461,0.8017577753993033,0.6793857525941636,0.8470006374833507,0.8567703632106278,0.8221634957661199,0.6559409723936726,0.6148168710956066,0.5925962077911471,0.5719265226745336,0.5606505724751104,0.561900560274738,0.6012999004459118,0.7054377437298724,0.5995041820678402,0.5889182653612748,0.5673030351470285,0.542059472686725,0.5361577551442351,0.5696609684897578,0.6081238710219831,0.7909942326697519,0.8359241980099392,0.9916597469520084,1.1507299922014258,1.096150869231249,1.2238827423609056,1.1485016998500046,0.9431575835436956,0.789653630861487,0.715787458912322,0.6823331920375055,0.6363490525698607,0.6151229015428793,0.6170871158547847,0.651590003384871,0.5604303330247056,0.5837028240452122,0.5669657163282306,0.5581744921514105,0.5564896712287402,0.5646351666258399,0.674600779064406,0.5752482126014291,0.6091931277455975,0.5718138206238327,0.6441958915678947,0.6806276881213286,0.6945101095047337,0.7403095348321522,0.810893997079606,0.7597531176143317,0.8915316834804848,0.8398332151437312,0.7267789256153545,0.7238901511589109,0.8160725987371582,1.7602352620508663,1.170842527271851,1.5524277212802549,0.7112420232276855,0.7207590144283785,0.8091069101112761,0.7658811731285815,0.7050156660057716,0.5939054591294564,0.7850562125278147,0.7076314583265878,0.8665684741225668,0.7022406856669936,0.9107377113743249,0.993144981389559,0.8760560154524439,1.0344081662973719,0.6862655894956028,0.6299132204350658,0.6524630200842331,0.7309936067318101,0.8580433756856122,1.010014656654587,0.9424586837531291,0.8259996334017371,0.7749923015649091,0.9396488692837778,0.8674582380449881,0.6673722557623207,0.8266693140743464,0.9174688786544243,0.6894498118235487,0.7669279759464996,0.9582981941937064,0.9650289413663639,0.7871488016109445,0.8425469848500243,0.7553403299290402,0.7127437938758823,0.6422128294281063,0.6361400234114425,0.6717755751705401,0.6278916138101339,0.6204515597583401,0.6288455512015344,0.6595646863354359,0.6125729726459994,0.656858670547851,0.853458747411698,0.7307155557177789,0.7831390824017928,0.808709897835233,1.10926606478098,0.9509765320516991,0.9312208857074588,1.1203755502367134,1.2236738792220985,1.2126413387980912,0.9606428762449858,0.7602202270302594,0.6749005407457312,0.9017275679341272,0.9674325686800547,1.0882032246100843,1.0460026017512665,0.8188764132424358,0.6816028092616278,0.5807078737560601,0.541405275312019,0.6378551889213339,0.6025145158192984,0.553211291036685,1.2616896742442996,0.5445383981344344,0.5308013750801013,0.5834126085475448,0.7461083483878403,0.4648805764219503,0.6123136227164785,0.7684217557538418,1.5780731559992336,2.2112626730842773,3.028722503924024],[0.7211345199642538,0.5549671695091267,0.6419232267813277,0.41769727579245397,0.49706161533617194,0.48066094795783676,0.35079114834421715,0.3979235157186569,0.3727667135875657,0.3729898231679885,0.38320731051057055,0.4495091055506337,0.3773341467483226,0.4045937188197195,0.47180876809047256,0.4400559279243878,0.49679792270896606,0.4959374972670547,0.530021149307657,0.47609123410687565,0.5588096257726016,0.5721931951067761,0.6928640215900482,0.8423599485938043,0.9858829828967973,0.706892902582022,0.48806175459110535,0.41762598975817283,0.42034331824893784,0.44348182161514466,0.5434429582462446,0.48916780542311,0.5665592266444219,0.5677604229255289,0.4845277464773837,0.47070282922892565,0.4537348876710826,0.4591573224766045,0.40766616571149134,0.42176690544904893,0.5725926722251421,0.525937187813355,0.5408088086983699,0.6495026304342528,0.9362044446603199,1.4247775227824537,1.3385615337410213,0.7425870825819795,1.2150596461648802,1.4163947886972978,0.7593871129573051,2.1897147205405143,0.8793421873776679,0.8394262572933993,1.6062455047698194,0.8836671690964897,1.0287159042703446,0.7398481109332437,0.7942327799107735,1.4252192768552086,0.8678956534373482,0.9683822783009162,1.1623583185868762,1.0301816485168636,0.6457503796746266,0.6509085465178119,0.817738792688305,0.6105330626903498,0.8608129212878375,0.6524201595714044,0.8307090772327524,1.0765858356172704,0.7997236308169442,0.948832194084056,0.668500929122215,1.285715594754022,0.5834109518820302,0.5784863432697828,0.5199286007050038,0.5893061739308724,0.5090612477763128,0.5668439897866815,1.0450558024730157,0.48470226727225457,0.49517587065575164,0.4242707495784262,0.46664312939930236,0.566053177416561,0.47378412086275684,0.5890767556853501,0.5627710607886941,0.7692973389649411,0.6929527170392126,0.578785895194485,0.5345828591568661,0.6227997367072975,0.5964199397113963,0.5487801771841393,0.5578788326916951,0.7625411817549905,0.5429632524104634,0.5870070059739113,0.48285115556746533,0.5399369341124054,0.5653156624326975,0.5573392641680777,0.7899184340276081,0.5037308764717883,0.5230580012311155,0.741787557241474,0.48443851871153687,0.3891830075092259,0.3466331789779193,0.385308563973764,0.38048927949631606,0.36634029170356924,0.43780060327516296,0.42095391488325484,0.6215668457117021,0.5792546134342569,0.570870913436175,0.5026280285439821,0.39765669667739817,0.34468272333009,0.37893675554104467,0.3959711904286725,0.4130779364144982,0.4313618690885191,0.420759670661403,0.4534262247676869,0.4886559259074433,0.5539070341067632,0.4436489758169241,0.506584520302525,0.427784989774518,0.5465300305789587,0.6742401067821425,0.4170035416322522,0.3907495014474624,0.36717341020096844,0.49225052834142824,0.5915224192774139,0.5128261650197565,0.4249528020882169,0.44861346629809506,0.40195553286777025,0.36305589738550254,0.3707281044084813,0.35506286115148505,0.39507583834923504,0.47379028277804963,0.44241474300480577,0.6781888135115093,1.364528423525793,0.9194156044542238,0.5692544145093963,0.4660005373021172,0.462261406120341,0.42150622855074316,0.445512054393861,0.3971455423312231,0.3819289461116527,0.3803546642517582,0.38517341982289294,0.41864332737961024,0.6698890661452391,0.5463871717406866,0.7484560393667673,0.7591723146373054,0.7291466528423234,0.5525980388179661,0.4261723875237379,0.4059923909163555,0.4050050745947484,0.3859732557900224,0.4167411556380934,0.43410621599036353,0.6323262577169975,0.424022887852569,0.46996287783953655,0.41182846234958537,0.4269015770960843,0.4091549647911729,0.45684724227098694,0.48045164103107035,0.6934849114581918,0.7508918509809538,0.8827254198592293,1.0645510971953511,1.077288250815715,1.1783143984887823,0.9546267531398605,0.7800983811896419,0.6469386271230638,0.6423020627601161,0.6548011062870548,0.6133585878685387,0.590860858569748,0.6126863733565439,0.6745581837120577,0.6139262393300793,0.6268685268220175,0.6054898078018642,0.6188627605349466,0.6251693504047394,0.6345474328204874,0.7067933486054611,0.6402577873536359,0.6954269083196216,0.6475170656846694,0.6996475072308184,0.743481735111458,0.7658152521119651,0.7854126803024195,0.8376988611058607,0.7673477116079399,0.9298805567504421,0.8109662200959352,0.7574459572881651,0.7708268676611539,0.8576242782153604,1.7923831269584032,1.2353191520202205,1.5268810975910334,0.7687484069345334,0.8018700598315579,0.8625370060818037,0.8113427566468335,0.8077996179168752,0.6742439719330701,0.8506677042993191,0.7245717215300523,0.8855033885533005,0.7464745696285364,0.9405973617132127,0.9860551415896679,0.8554140652434636,1.0334239326591745,0.7224989779582639,0.6482805309898125,0.6743396529637159,0.7617692782670097,0.8739717193370404,1.049049393972852,0.9465520307998951,0.8590615360477996,0.8461340120597671,0.9893716826453764,0.9217327026007249,0.7434017327419816,0.8991083641760926,0.981433656431164,0.7627034160426962,0.8508194163090155,1.031601654604481,1.026222641306343,0.8588324293630432,0.9289865441911529,0.8382449084738934,0.8035892750514836,0.7340977287990221,0.7248777346689236,0.7592228656426963,0.6998857122948103,0.6945485527426905,0.6965371957063543,0.7192837699779754,0.6589543153980575,0.6871681347122129,0.8577148148174351,0.734082209294691,0.7763457208282096,0.7946575129813666,1.0806071015929972,0.9108102103724857,0.9015420118407178,1.03610645696416,1.1469525371516407,1.2145734993548518,0.9361896583467461,0.7569737886400701,0.7185466268222228,0.9362377629755794,1.0190748372548606,1.1245056151825774,1.0678679103366429,0.8463194397493513,0.7201692246902429,0.5893177597202316,0.5152458300265611,0.7145660927383009,0.6435391365948118,0.6016437754891041,1.209867993061566,0.5622200341818576,0.6016442981770623,0.6434766595377331,0.7405878121863786,0.48481989974732337,0.677996068306282,0.7132206381033391,1.5184604427216188,2.2246850714841697,2.8680195497034],[0.5815318504988919,0.4713937812163534,0.564159632850383,0.3826042711608428,0.4784832568520394,0.4031758405500929,0.29727331275085633,0.32983387248281093,0.35502728186177,0.37812958222363663,0.3906388464520978,0.4502975651776509,0.37515225670258295,0.4243306385530295,0.4725945692603174,0.4327942246889567,0.4942262731323301,0.5117573721735474,0.571378565091238,0.5178433277111001,0.6195488373541204,0.660568762005717,0.7362651281729335,0.9349127925056949,1.0028917354271216,0.7339850767821153,0.55972485741695,0.46447737907243514,0.44869416792812217,0.4223441305604577,0.5526710977153305,0.4477667329984559,0.5360572599087676,0.5453877955894417,0.46530402365468765,0.46881976294834854,0.43052447155700846,0.4602978775743683,0.46037529395245425,0.47821463788493934,0.6452681911940715,0.6049026323722789,0.6201869477750863,0.7668600254300506,1.0561773447644376,1.5011300771126554,1.4626395762400477,0.8500995680494332,1.1837083038670295,1.444693087552877,0.8162581136531112,2.106105865803139,0.8379026423223012,0.9146365735801255,1.6910107632522176,0.9541261100278676,1.0685539652663039,0.788877143636917,0.7998720747606024,1.4692589767228719,0.8683656240223558,0.9009122382896182,1.076465005552985,1.0500336416827154,0.7260788498072137,0.6439594802776683,0.818107612098427,0.615581671203253,0.8372773620116248,0.6798121662592177,0.8048654397106971,1.0192470834159173,0.8188079997256221,0.9775062575611123,0.6850584752212274,1.3295800244135574,0.5874543209719169,0.5831550423243196,0.5178833146730503,0.592939828702589,0.484958129293533,0.5427278523795599,1.051702725632935,0.4803300665666171,0.5137328690922613,0.408760590673917,0.45509601094078,0.5404705788807012,0.47952560500749797,0.584698359618545,0.5717775775793758,0.7839327546516224,0.7198946431919049,0.5806266853381212,0.533033902696151,0.6182961139883708,0.584366849615893,0.49541285960470993,0.5090261033086341,0.732302851704016,0.49418673485803527,0.5536353148403911,0.4561530669749066,0.5003754822326206,0.5267939470679212,0.5347616671693963,0.7508239199145235,0.5038564175313606,0.5154814471956962,0.7080326209753537,0.46633111111654124,0.3876370131996867,0.31938714331653756,0.39334235347110713,0.38961929420843194,0.4212356114112225,0.48577220088093165,0.4902260632187581,0.6858958146222316,0.607116623403497,0.6107831673511355,0.5402462423234493,0.4791322042921456,0.399563574768417,0.39384358433887645,0.412770397408283,0.40132923479394517,0.4307535291189505,0.42628659926974033,0.4530814424334764,0.4748774537759548,0.5377003573533077,0.45489391247954664,0.5102468030373752,0.44063801545421216,0.5867631826758367,0.6445229116118646,0.45584585954608975,0.45348794072215154,0.4376159323221655,0.5813431834743492,0.7127909487714847,0.5813517783948835,0.4812704653776033,0.5113256167246784,0.4427272830313603,0.4076335552879166,0.3715961835851524,0.34101633173239165,0.36967808246249234,0.4279917648546124,0.3973794554550544,0.636111392485167,1.3342190862807197,0.9368035358313975,0.5345740227482663,0.41871469988311893,0.4221004702927183,0.37290842626123877,0.4218102434709749,0.40744397054227066,0.40101809130956967,0.4267409214902693,0.4429327721649482,0.4706251281960582,0.6737342055787987,0.5748859556959863,0.7755438621887151,0.7901063368376269,0.7358633005802252,0.5660307213628755,0.47259951369487085,0.4598884665211358,0.43753725049969006,0.4039619661258695,0.40360139074842727,0.4058944265047866,0.5747799217459165,0.43888413216410876,0.44751031143038517,0.42321040186851094,0.4165199553300723,0.41361890162856213,0.4733989997089333,0.49875387966052503,0.7037525679750127,0.7927944983166972,0.9668068939796635,1.0879501396449458,1.1411150301676871,1.2147568512303941,0.9761384628392399,0.8331159231257957,0.7050521620350038,0.7087923924603694,0.6821552119298093,0.6099598165004819,0.597788055009025,0.6163889943747681,0.654319868848756,0.5950847295645323,0.6012032708554367,0.5844302761290887,0.5962296413679945,0.6056019621415616,0.6103514087064515,0.6990789630585645,0.6248115532143721,0.6767652412281372,0.636142654682654,0.6914562239898752,0.7473669324421542,0.775757487975624,0.7903074273672729,0.8518870109704039,0.7727934406422545,0.9593733692364915,0.8410038086922162,0.7533935543026042,0.7880893676630297,0.893389713272378,1.663787635004508,1.2515106014686694,1.5302125056001847,0.7551931676399454,0.7493246193976307,0.827914143142792,0.7890413887369628,0.776940018118154,0.6564991535880961,0.8405686996538816,0.7610582873205612,0.922081034502982,0.7588530633109962,0.9057977508256733,1.053461972633722,0.8756043713903207,1.0286334857094015,0.720543281350578,0.6294368064270158,0.6681789961197059,0.7445749753457283,0.8436821423965808,1.0105712888248362,0.8941006776950594,0.8241332393191123,0.8016761897709177,0.9164069207276809,0.8699649351526899,0.7047692791401714,0.8627937954456397,0.9504279754385812,0.741801531419292,0.8279070426438105,1.0218964110201612,1.0481503655847249,0.8520936211507479,0.9278272978097674,0.8164997915563983,0.7815035276549251,0.7007419544307292,0.696514940894886,0.7381840350575868,0.6842327741143119,0.668748987950745,0.6869401945752279,0.7115631521980654,0.651047842313308,0.6924982490090085,0.8859872166729564,0.7437103383442445,0.8048316643616077,0.8258172828804228,1.1249744679467322,0.9491678508816327,0.9163667271738881,1.0822138182758547,1.161073541141505,1.2192221824043048,0.9302183983776059,0.7532741901966234,0.6961371230939126,0.8982159049334072,1.0070809411549282,1.1294662937448277,1.0626977651273721,0.8463671870018231,0.6889561060384461,0.5717837450812143,0.49893803137428416,0.688429296298118,0.6208791030630192,0.5710608659205348,1.1655491523530583,0.5472928258134029,0.5618424378072929,0.5913458046000756,0.6787464353626139,0.42352975199573434,0.6154446568483072,0.6573856062370594,1.4927220745495777,2.1139378626875662,2.727784088882583],[0.5776074303711999,0.5558809203882576,0.7355851752794543,0.4820405264330824,0.583958434042354,0.47297787818719034,0.3690153152147442,0.4114496829253405,0.3773648928394522,0.3431780644032253,0.34962462060650845,0.4302886024867455,0.3646121397970978,0.3560990771536144,0.4217728194398549,0.39395310029362385,0.4329907924518082,0.43151568696308434,0.4704259659772942,0.43161367389393673,0.5092713777964338,0.5473601783826039,0.6481458510241687,0.8370832001279224,1.0357720735159883,0.6776015080762406,0.4652494220122323,0.37490119553482126,0.3929197687201784,0.3896313413649666,0.47798840309809554,0.4373616775708842,0.48068267735643394,0.4871319229266063,0.4238726491075144,0.40664207045353673,0.41448268247301157,0.42471283093934387,0.3773669967636489,0.4167295723900065,0.5931436552878507,0.5218055414274249,0.5433515270900456,0.7274091941309183,1.030493865856011,1.5408299504127128,1.4333621305688127,0.7936365224325288,1.1755657058672175,1.4838250532419193,0.7928413260294941,2.0390488437838385,0.7721959291020537,0.8563916024182032,1.816434275211436,1.0544017296672932,1.1543074517178171,0.746014926259809,0.7893621575981411,1.556239362947486,0.7545395946644493,0.8481049770899726,0.9799517394186519,0.8798166712277435,0.591936289665418,0.5754192973700388,0.7241239801407784,0.5307230032020553,0.759330007517657,0.6000371038974274,0.7759784583282282,0.9929382817271705,0.7514934498325554,0.8706463021623112,0.5948072663613719,1.2080907542091712,0.4982999801759267,0.4911163387761931,0.4409492531335039,0.5247409472661346,0.451449480929816,0.5767108595384949,1.0422991690522978,0.4862693711306889,0.49404844535219794,0.4158345624145915,0.42668195859019836,0.5328680110371441,0.40041939891354317,0.503855918606042,0.4687032856125254,0.682399736339997,0.5942855689337128,0.48999209295401897,0.4675795374457392,0.5539783657333177,0.5471697342015456,0.48111392246746815,0.5079920072199975,0.7360371169020993,0.5122156247909879,0.6146961619621469,0.5088726624591389,0.5959121799621974,0.603662024515877,0.6257555493906305,0.8797085429009184,0.6323451126754541,0.6489912149874276,0.8231574853441557,0.6010490852281403,0.4781596358371608,0.3726227399215755,0.4054749726478065,0.3728383111036023,0.33742158154977925,0.4457182897975136,0.39691908144803034,0.5697286811318626,0.49964176003931365,0.5083690594517116,0.45187057612915005,0.3946385366623314,0.3418598386095605,0.37567776914490164,0.4501992755855641,0.49316538525579734,0.4907885234760398,0.5213523258548955,0.5297504540440019,0.5773796949050174,0.6574395573158579,0.5547979581112309,0.5785958912617355,0.46353823483436035,0.5628621465745879,0.643660414907114,0.459885566463706,0.4277753534577801,0.3834531246529239,0.5210530590743866,0.634915694073905,0.4819655459109614,0.4052465662725278,0.448670603322348,0.37013647511631514,0.3549872957340124,0.375648277815371,0.3512065768720052,0.41086189561368186,0.5006494776055168,0.46149842568690447,0.6894301221703591,1.2909012850589074,0.9168978964030463,0.5618542528557096,0.454068030911937,0.4951285677793046,0.4120519570670816,0.4757660268340974,0.4064066057697681,0.37897293861946696,0.41187206221186146,0.41270966589775415,0.4596646026400653,0.6289001444480593,0.5694538700008818,0.7591610249711317,0.7826863688604723,0.7411023778899756,0.5692297416591506,0.4530626440728554,0.4400241768741269,0.45449320931517656,0.41194780132595,0.4390970494127957,0.4069404559974251,0.6098824246188328,0.4403755630828132,0.49781892404443223,0.45237979973890696,0.48617421535642524,0.4878662453722377,0.5426024341076697,0.5504593148709893,0.6980632040494187,0.7623420809815259,0.8569453002820581,1.0241242233620882,1.1130984422706065,1.16878079417033,0.8861275666400685,0.8105556651550577,0.7094242424866223,0.6960051689896123,0.7336062231591651,0.6972994440333697,0.689908503535274,0.7322245523771632,0.778754799129718,0.7447086126586058,0.7377168816030588,0.7201293940615727,0.7430807964930675,0.7616785812328708,0.7594648246613522,0.8283097342077403,0.770982422271259,0.8283525108540043,0.7829887919988822,0.8146621696349119,0.8775490213507428,0.9125307784913481,0.894304143227637,0.9489327603590787,0.8795945328940002,1.0476356094334847,0.9217846838541828,0.8518714447067044,0.9024429562577285,1.0154628618351917,1.734534076788789,1.4121165816697725,1.6241381592081747,0.9003294168236856,0.8889444299165058,0.940845649437343,0.8861303571694487,0.915616272028082,0.7893370310766734,0.9247078211854936,0.8516565390816245,1.0076719286714328,0.8625131318508518,0.9847162324806089,1.1192010192448778,0.9501010461889466,1.098848207815914,0.8501179939713889,0.76180369171612,0.788677523832286,0.8576542297857045,0.9404912211019454,1.123552451003764,0.9706934410476856,0.9281301044145249,0.9270981168875455,1.0118162978112983,0.9961814320147558,0.8529255578600508,0.9872262210638145,1.0635114655057194,0.8813439083833089,0.9630524859196585,1.1310679488589923,1.159175023194887,0.9673019599352409,1.0371224774886285,0.945376057987626,0.9247781477651006,0.8592920605618024,0.8509123586963786,0.8760687727586798,0.8355480320226374,0.8200808260118406,0.8223164762733804,0.830015819700523,0.7903728455619631,0.8222810387095779,0.9435500625129104,0.8271017105499201,0.8911684743165361,0.8861867207763016,1.1613420713054292,0.9791590120094161,0.9702731101329458,1.0870954018240824,1.171531064671561,1.3211612742806398,1.007913212410951,0.8407180171922721,0.8059631315193408,1.0189642047820298,1.0940567953461116,1.1799130779150273,1.1040146767232901,0.9409851526659276,0.8156327033629982,0.7047158871824704,0.614047920603458,0.8429605259653189,0.7521829486950438,0.7160069252449,1.1362627891201917,0.6768024970614854,0.7084053166519264,0.7188337701487952,0.7170983912517429,0.5244683066552336,0.7433359572775304,0.6644250377505749,1.409198689717242,2.026720048471246,2.464930243142694],[0.5305024727093265,0.4664296835384257,0.48908971572444493,0.3581597472705608,0.4587289587567332,0.3914423561206813,0.2797635453568521,0.3135895484568113,0.339051077988971,0.3113213256512283,0.3208244984363294,0.3838305671893029,0.3239805348170807,0.355925360748021,0.4132228374920452,0.36980725701439565,0.43284605694229267,0.441443322503565,0.4987630354892431,0.45856732405811407,0.5388298518135214,0.5704536150404032,0.7171601520175215,0.88775385422372,1.1273220459515023,0.7434000931752611,0.5024713118698065,0.3798462280979191,0.36658331734030286,0.36446359260942174,0.4738414139555627,0.39886639697613546,0.4580807677136978,0.4705164166928365,0.39376511670757064,0.40452556283488156,0.3562162289880126,0.39448934799014856,0.3676199254054272,0.4127290977199923,0.5873253302059679,0.5172136304320752,0.5374572423957853,0.7200922377179365,1.0474457599699025,1.5651489634988796,1.5112610550587176,0.8101415305665063,1.1701490314090957,1.5114944910621972,0.858997660904036,2.063345630913256,0.7902355204637493,0.8773620728866215,1.7733403919736264,0.9907515936483795,1.0753380060361062,0.7866816426670741,0.767797978140952,1.557529589273185,0.7643646857721056,0.800682802610937,0.94038437386385,0.9098822840493517,0.6365358603892236,0.6006336323543372,0.7896662785834403,0.5297719893949902,0.7785406987935566,0.6108448617349703,0.7768487728228421,0.995057350586787,0.7565071615186905,0.876845870486851,0.6267144093880745,1.2377779671702838,0.516611994189996,0.4910252755902792,0.44177878634285356,0.545567712882543,0.39013423793633806,0.5207598222796709,0.9580004267528438,0.43434499158738826,0.4720486825233074,0.3548890894357503,0.3933721148603228,0.5007221797015515,0.3988351466804181,0.5117474350555321,0.46994913611435,0.7458502096881579,0.634555912104859,0.5015803968751844,0.47506579490144346,0.5654944794692766,0.5421934158705989,0.462948268083817,0.45912603468330054,0.6279311824631677,0.4430844879300189,0.5042766155874888,0.37853896381192137,0.4494704873766971,0.48027927819467153,0.4984712302333785,0.6937761973258391,0.5128579815987827,0.5096681710407581,0.70084628158137,0.4647425656514959,0.35791646506767866,0.28017083840088186,0.31865735083305324,0.32195675641577687,0.31342689386034345,0.4230761611053351,0.37108705347370663,0.574245142560907,0.5225099806852238,0.5348163721798642,0.48982159345001547,0.39221708876983763,0.3047113377718422,0.3139227901824033,0.3432333819575812,0.37566053365697666,0.3912521372436606,0.4110996281433441,0.4273856766356747,0.4618659472871178,0.5214786367659258,0.44579218515040464,0.46834695870331083,0.4023843622482197,0.5818197619105933,0.611980331784179,0.3848085035974021,0.3457248974492113,0.31185720272008555,0.4504015494821659,0.5965412651131146,0.46986949962861857,0.3818546526785416,0.45386846994966795,0.34341171827129685,0.31874692041177527,0.3333280251685957,0.2745068961083619,0.3321644558337167,0.39619421293229373,0.3839059194253691,0.6368957286504071,1.2831675422460507,0.8865854120919836,0.4626815113097421,0.3692782349496859,0.38178161431958063,0.323443015105086,0.3740345155994883,0.32527991329900946,0.3155611498349295,0.3322366288202497,0.3564640264490043,0.40123133771694625,0.6327797597777737,0.5276895305256813,0.7512017124632031,0.7671952369092819,0.7077157334384208,0.5156665246883609,0.393129489782704,0.38078413697267266,0.3688799073744099,0.3260607555612566,0.3484923578958644,0.37655981801220767,0.5331926408133986,0.379818415312834,0.3921332684295151,0.36786942745982193,0.35942432088738707,0.38794009170118815,0.4407743201339109,0.4661685010662878,0.6253676664583602,0.7332030503632091,0.975918516119517,1.06923411194504,1.1733536689403432,1.1631899615669703,0.8765766521257943,0.8197297257176415,0.6958873117778683,0.7178826253203009,0.6870343548377511,0.6120403493650755,0.6085052983386976,0.6384305376408045,0.6663632036760714,0.6103607301490367,0.596693237623915,0.5860366083508696,0.6079733461957122,0.6082125808284423,0.6137728245992538,0.7062902886685941,0.6348501514037326,0.6732390427938459,0.6471014747645608,0.6989408286736468,0.7531055672773952,0.7951408301554108,0.8091859774682639,0.8583952805583929,0.8060888843140867,0.9492508503153411,0.8521074406675857,0.7567456985337584,0.7852195162749055,0.903752705955343,1.5559207099656553,1.2282992070007523,1.530136632727694,0.7549782755393823,0.7275954636865832,0.8044605999315542,0.7778448424985298,0.777796699422636,0.6663620999057606,0.8333030278747513,0.7934092237034592,0.9417783605980556,0.7775788994272855,0.8942346445088277,1.0835004413740206,0.8965456506587705,1.0535951305467508,0.7468212439416652,0.6331156305783814,0.6711583182550059,0.7353551466074187,0.8318186479820384,0.9576031863053454,0.862444095213733,0.8082731329956174,0.7741237522948654,0.8493968345915307,0.8479748527139493,0.6832747043103811,0.8248461604810804,0.9231872058477126,0.7360532370807206,0.8012686900498635,0.9774368857446533,1.0609837673227307,0.8359834981371239,0.8817777493048153,0.7921916140663389,0.7582786407161664,0.686257506392149,0.6861744202009723,0.7233405889739253,0.6775410918722308,0.6591465258106698,0.6730225653009996,0.6966205724653007,0.6580007462574219,0.7077883412298964,0.8959131581223039,0.7478735259359741,0.8248442081980284,0.8392088704289069,1.1100785812578882,0.9420917521391939,0.9111548999054172,1.090667352070347,1.179225794736484,1.199675538286969,0.9358241880310467,0.7668305000667942,0.6894573839223402,0.8800774423023139,0.9871696996301697,1.1035843144779343,1.0268464869719987,0.8556341272888964,0.682949696898743,0.5777116124346768,0.47930797622750054,0.685305010310413,0.620110764791316,0.5639924594803473,1.0301400484317078,0.5414509530934696,0.5560694969196527,0.5727974665156471,0.6489260183843604,0.4079705966610132,0.5853705026799387,0.6061165003375536,1.4384234811622476,1.8170692125566914,2.3556142045775608],[0.5583517733193408,0.5291467628792813,0.6640214655801565,0.43829080064810283,0.5282438939297418,0.4715196740509098,0.36151941663906634,0.4185752539901548,0.4133605406751314,0.36135884568950205,0.3710033339775727,0.45197431841038604,0.36437791602512837,0.3857799184350033,0.4419072253136031,0.4032743757862836,0.4593536550161401,0.4583552497315605,0.5036247699528674,0.4636312214858698,0.5460381556063434,0.577679404836913,0.7414368461979872,0.9066350411435132,1.1652754606132476,0.7518172813321362,0.5133358937773209,0.3886522755630225,0.3889399565440455,0.3921327161574382,0.49165991291235,0.44393246953510496,0.4776811384675046,0.4899147801333593,0.41992495008469644,0.41633605008790614,0.39611497558966324,0.4061796943911846,0.3853421204180706,0.45040624314846156,0.6172323620321726,0.5444008664913563,0.5686753834174819,0.7728033232486483,1.089769775786632,1.605069508446332,1.5677285346949459,0.8341877141130981,1.1319923419188749,1.5406452272712348,0.8900595183515583,1.954979330642348,0.7563685073756028,0.8961886684907489,1.885920263732321,1.0940883875789944,1.1521191997117173,0.7893650981618773,0.7917821497729309,1.6355071922003197,0.745330217693071,0.7819729368765554,0.898110336351783,0.8813272525550295,0.6559068209571607,0.5876321401456881,0.77983571872048,0.5358319335796087,0.7854614192090175,0.6204331447047521,0.7877829328008413,1.008975657362117,0.7627165044201171,0.884471098987286,0.6436049704762136,1.2324112073132323,0.524836951680121,0.5024246235832049,0.4529408795192636,0.5465550950751973,0.436291495985575,0.5584936533100703,0.9804476284879141,0.4858075545830007,0.5015503186883573,0.3890405262448973,0.4123622383264168,0.5311498722488521,0.4098980144881808,0.5301286987501311,0.4866190495029657,0.7463348176435916,0.6359674250307149,0.5136950491001931,0.4940983156647892,0.5830301144522085,0.5756977653047818,0.5048905709391991,0.5184276617661687,0.7042906721321827,0.5055076763465117,0.6035890729035938,0.4615935517151113,0.5637104710382506,0.5565614925431822,0.5845468820243612,0.8106772606095269,0.6255221491154432,0.6251910376129557,0.7760362224452017,0.5669145548370254,0.43952916791438607,0.3620915390780082,0.3627312918424816,0.36045355124593753,0.34181231579499344,0.4351873552689354,0.38579188023414146,0.5915109296535151,0.5276080119041323,0.5495491446039396,0.4914426874401878,0.411741742436659,0.3282226460809601,0.3382355786823997,0.3892938501021677,0.4465507555262234,0.45311206631159856,0.4987295187684719,0.5026773602527886,0.5662170444785524,0.6354305550241648,0.5451476843147101,0.541952164329071,0.4582631402393321,0.6072011473578831,0.6388956236992901,0.41422243972856054,0.3584879723726297,0.33321879655244,0.45953261929549827,0.6237829767106289,0.46807169569506296,0.38311568937015517,0.4692358452257721,0.35067462275787536,0.3361705453898829,0.37383121109735346,0.336665196828943,0.3927369168731099,0.48628340519265123,0.47636384512671626,0.6918368613125407,1.2764629042170161,0.9204942365078729,0.5632088687325224,0.46493755662683656,0.4892958613183078,0.3924328298499997,0.4556348281881421,0.3716852725953229,0.3438922336894205,0.3607115143768107,0.3748602485759791,0.41879934946828223,0.6404569824155804,0.5676139466355784,0.8016325835786778,0.8175947859268275,0.7455682083034608,0.5548775561501808,0.42105103742279537,0.40785210940786415,0.4021081458209554,0.37931128851399076,0.41739325992132875,0.4289301486918644,0.6027326901546043,0.4246384186265195,0.47435650680620856,0.4155253872867145,0.44036363461279066,0.47097909727423487,0.5257154023561643,0.523675821609338,0.6316003942155811,0.7652006878799862,0.9768362197837607,1.0707312098371065,1.2303011418685057,1.1932467116687413,0.827236733876567,0.8415483851659169,0.7471027363489917,0.7998025030224348,0.7852121920380649,0.7024985197810915,0.7351154648156529,0.7690938876031927,0.7856658454127193,0.7707657642958317,0.7554543395435126,0.7338391787754208,0.7629604360214085,0.7812879415039549,0.7783194871429309,0.8344361526323721,0.805617632277802,0.8491525324299506,0.8117458773584637,0.8562588958918791,0.9261241127439205,0.9555477383574521,0.9796483954278524,1.0086561229276327,0.9236943756551375,1.1265361649510601,0.9869630049846344,0.9204734064842024,0.9770811300508085,1.0740534844506702,1.5302339346815184,1.4104637543052596,1.5858922512480096,0.9258126018090036,0.8873034646714175,0.9763383721757828,0.9372502482710102,0.9751817649193504,0.8539239527525723,0.9922055949567199,0.93954990143622,1.0858722579147833,0.9440984573463865,1.0069071553659765,1.2490237983550552,1.021078415710341,1.1566600436952805,0.8992244419860643,0.7707499013817644,0.7963111155917041,0.866447770291989,0.9370751949373063,1.0965640714990257,0.9460701788708048,0.9158123671545376,0.9277382201841505,0.9583869870074762,0.9628927689355107,0.8386531530348194,0.9719992003223458,1.0579823172040836,0.8896241940350611,0.9629643661179271,1.1189711720541906,1.1915175180953939,0.993583430584262,1.0546582694449624,0.972596034736511,0.9463042768835346,0.865900989961978,0.8668417498202962,0.9227538899153894,0.8585424148754884,0.8319199559845105,0.8718984049823454,0.8830952697870572,0.8268617383613458,0.8787029441888066,1.0650186421096421,0.8980097842834891,0.9579985516129629,0.9809971744664288,1.2453093211988573,1.0590881477011176,1.0207834065852885,1.1861610240955265,1.2119507578565318,1.3460715502889609,1.0438899280935694,0.8806558680292957,0.8259774711930685,0.9904242595211169,1.1133318020326162,1.2263969316112717,1.1175532549654188,0.9811726361038552,0.7943254935757788,0.7004603067387254,0.5710510959664615,0.8413783266999717,0.7684738583716307,0.7157346634662121,0.9743233163349975,0.6664162055959291,0.7116328232113783,0.7235861367763167,0.6881397034455651,0.5332292190446307,0.7149512107265888,0.653597835964017,1.3355903262266213,1.8369521053769111,2.187015633574821],[0.5731352204756253,0.5970364694653905,0.8397751702802535,0.5137247283909029,0.6435799067490477,0.49750790386457816,0.40405795345997925,0.44934431229166605,0.39752230592384236,0.34324831662010735,0.34601811830499163,0.4651551547849996,0.3530726133776796,0.33275910648248447,0.4026772156018753,0.3651831267253216,0.4110370847569956,0.41467817596556417,0.44623840674319015,0.415121484839796,0.4875086525796678,0.5462791022239781,0.6994639594076854,0.877831423734449,1.1369225221045784,0.6986957740182754,0.4751865864443481,0.36924391190815986,0.3676681981380699,0.36889719627768175,0.45119157736801924,0.42392962625628866,0.45559746609015184,0.4664129247341733,0.3976773945568806,0.3676134038541255,0.40711236856810595,0.3995807386530061,0.3705970841029,0.464881129486143,0.6146753604608887,0.5278241638353068,0.5626722403238389,0.7965548457214676,1.0881991838463578,1.593507317887337,1.5453978578140959,0.8373423537056064,1.0998849028392486,1.5273374201594077,0.8759121803845891,1.8582342943433545,0.7298882159635882,0.9013682621381011,1.980133789196362,1.176401649876605,1.2294934470185304,0.768982803560998,0.8085904793448077,1.7042734641009085,0.7182401535216493,0.7623405474836462,0.8528662178523105,0.8032195891997163,0.6129277888947522,0.5400839432762851,0.7281010641975986,0.49134295232880926,0.7305261898941029,0.586948248769967,0.7599738399580841,0.9751019138921801,0.7420280109245141,0.8504626856219036,0.5769329931129062,1.1667923973281313,0.4652222373854227,0.451780328321622,0.4098444951753386,0.4807515536829725,0.44142482230468916,0.6130858498706143,0.9632191016042756,0.5289495824303784,0.51707292248271,0.4363891954341786,0.42386496166901827,0.551898593364776,0.3583966930109712,0.4908791611142861,0.43711192754135714,0.673704831313545,0.5852047618362841,0.4730741800194785,0.45674351303950567,0.5572670748837801,0.5432348973560457,0.491275591905564,0.5216564358925901,0.749205532993797,0.5228081260938529,0.6499573954204644,0.5315822536355528,0.6678403984902973,0.6520042146695503,0.673767512087614,0.9137724981329459,0.7582558595878788,0.7631686028441639,0.8493903243836246,0.6860948971985372,0.5284806734035532,0.428926034903961,0.42192431886773496,0.34524714465987644,0.33589983594396833,0.43477999337263196,0.39684193657860634,0.5533790077898707,0.47139201801708863,0.4908532374121621,0.4399923756274851,0.3932491411062239,0.3164181639556702,0.35695584382302853,0.47339868854917583,0.5553706094424434,0.5770758979907338,0.6268424386203659,0.6124976720480733,0.7162437480263883,0.7902744259663738,0.6958897547184774,0.6615375306973251,0.5886095380752909,0.6646784133784445,0.7379740464597675,0.5228684816039306,0.445156619741804,0.42083008206890427,0.5416676566082981,0.6789539264601964,0.5007937999566019,0.4099511992329643,0.4691655907288924,0.34623108185468693,0.34798279591089815,0.3764263130521667,0.38719776543400575,0.43973408555566873,0.5442882479930577,0.5094190120767732,0.7242883754635633,1.2692326641797904,0.9210044048273508,0.6032728253958591,0.4910534371302109,0.5501260505924833,0.4277761769361373,0.5369780596519228,0.43255875923635617,0.37393998831414954,0.42987853097477485,0.4345043949714676,0.5029384042300381,0.6805509692088537,0.6703050229002149,0.8806260479961329,0.9042994952040553,0.8371857603555698,0.6662579922048867,0.520863096393928,0.5091199823569035,0.5020038710360805,0.44618463140184766,0.4653419188414306,0.42751956657765794,0.6350898764304403,0.4719542039071406,0.5536319326073967,0.5020451356636209,0.5403487638054937,0.5800481152436864,0.6492677328399661,0.664055332786879,0.735032184072622,0.8265586764707105,0.9677164493456223,1.078466289095431,1.2856195254083542,1.2156244425794858,0.8929244415893997,0.8831317672358843,0.839466801485246,0.9355592701004487,0.9278309840212682,0.8554547774322548,0.8906037197536532,0.9220152257459017,0.9275215969859583,0.9535916455898122,0.9221968509438332,0.8953852094032623,0.943357229747634,0.9734475954079566,0.9451681733111401,0.9839176032953534,0.9929260159293304,1.0142660173013833,0.9684530846251183,1.0322292671943998,1.0895489528524889,1.0933664874746534,1.1322080760998703,1.1557193992342374,1.0789976413325895,1.274751779691893,1.148504779099668,1.1084102694560962,1.1604843130649187,1.263779589924208,1.6400233857529318,1.608097119392645,1.6853403594009297,1.1079479680883513,1.0675911514853582,1.1257898487669322,1.1031393259718871,1.1747504456738442,1.0491918639688247,1.15758843946576,1.123413295842924,1.2587282935071542,1.1178507155678188,1.1448616639159874,1.4091025766377483,1.1705496219173313,1.2543770340302418,1.0638989521998952,0.9338297637374928,0.9677944230289148,1.0250022362849756,1.0616071986445603,1.2368165291857582,1.050376774275122,1.0456671641949875,1.0722973807669143,1.0820862254572552,1.0832155499275982,0.9927373449472224,1.0929441848503725,1.1396012450960893,1.0238004117052832,1.1156214599585037,1.2218129338121069,1.2814308947328987,1.1293582906686983,1.2051803378416104,1.1241617865991884,1.1089895920357806,1.0440437034727483,1.0446378884197667,1.1014826308224335,1.0418183600422604,1.0297966663682563,1.0629580573699973,1.0665870549293288,1.0144612754017266,1.0765876646263541,1.202954376863505,1.078996017238248,1.1381550438078236,1.1451235617439028,1.407929676248396,1.2093583660650111,1.1665066227528509,1.327793307522275,1.3291268960517242,1.4980570727955618,1.202127790037176,1.044427307627564,0.9911696778063462,1.1685895708892953,1.263814528992934,1.3754753187614437,1.2620379787349179,1.1320257124682012,0.9415124069171822,0.8524403232000363,0.7186085561904605,0.9941658691093678,0.9044630280013316,0.8619810986620297,1.0303273721979787,0.7860403453831344,0.8568151261082196,0.8649405667081973,0.7323058523325231,0.6330244957400277,0.8389926687128885,0.694096512448541,1.2175148555035942,1.8121503354203563,2.120057454528589],[0.5244892711460402,0.5561129440462756,0.8144425582727043,0.4591549478753499,0.6093399408646628,0.4877239549395148,0.4305814932972159,0.47290158373047214,0.4425331413115601,0.41065187160612127,0.4212169901811612,0.5180288070166787,0.41261824645767015,0.39638300382150915,0.4640718240472674,0.43350358809307765,0.45230905500758484,0.4651549762042622,0.4738960030381887,0.4469041702783572,0.5129539812087602,0.5735185489453595,0.6910001518514666,0.8535071506002279,1.111118291178554,0.6760671689167889,0.4736404469517074,0.3961149183676243,0.4265085586813894,0.4349488331875581,0.5083432283911253,0.4837207546215807,0.5143347536189042,0.5301315900184068,0.4695257893020588,0.4229163594293954,0.46980883251110833,0.44376678186890045,0.41021313916561625,0.49178032509439473,0.6145740964713805,0.5355971006715191,0.5551919278828319,0.762206126933373,1.0604324642250202,1.5980601786296331,1.4973485121043733,0.8043698601358884,1.1466786655857175,1.557113177965964,0.8721749467150534,1.9503928247768412,0.7493164771513436,0.8571793976266363,1.9405314216714056,1.1658676637841698,1.2392510599166133,0.7827075626950988,0.8242706435718755,1.6892748836269318,0.7147475643241913,0.8031231430479072,0.8990978444607061,0.820574573264496,0.6040115602759623,0.5671018257397457,0.7264948231754714,0.5300139087326048,0.7386146649911833,0.6172281887633547,0.7702321915436328,0.9881722435538897,0.763562084916703,0.8607741676018846,0.5991588487886644,1.1611559397601279,0.5136039550459605,0.4996641329013265,0.46290009482834776,0.5313845649966424,0.49400380320178344,0.6273297088143779,0.9956643701752761,0.5643401509885643,0.5430519259475871,0.48201255239570634,0.47352898277368116,0.6008330591459621,0.4230007535013304,0.532570226788975,0.47927164355945145,0.6738116011903802,0.6012817831173596,0.5198398542900998,0.508171412788116,0.5928941144106884,0.581421715434537,0.5391746959615227,0.5669529158408059,0.7930004928759228,0.5509539324949178,0.6849241352778613,0.588527283170646,0.6785763808197314,0.657524177937881,0.6660674554606233,0.9215210276997332,0.7192640040352566,0.7292099156270487,0.8466304525238854,0.6738962382972012,0.5368466769070149,0.45292255968782563,0.4503839678842654,0.39040154690138085,0.3668553137987954,0.47648750427141046,0.42622294867126725,0.5654192696538966,0.49632128734341924,0.5017978839154911,0.47079508587853325,0.4111966835374469,0.3544977687114573,0.3946365824439253,0.46022644973095145,0.552873655080373,0.5735856550416314,0.6048054461008112,0.5927299433688089,0.6581728634595293,0.7325375229138161,0.6367048709745768,0.630670551484292,0.5666940939086049,0.6765099584645221,0.7184345350033939,0.5173537034241764,0.461099164626879,0.4399001759418041,0.5345869648775455,0.6271918250879613,0.5311632197092536,0.4337846924069207,0.4726001998413122,0.3909096112958555,0.38636966742246653,0.4243147233588785,0.4255281679333287,0.48199705486345495,0.5611211226222114,0.5371512610836763,0.7173292962497835,1.2558747950685347,0.9223405543295271,0.6278865402327257,0.5369895703013599,0.5848472273442046,0.48892526512812634,0.5646903151597905,0.4583691710330662,0.4224725334372803,0.4486505847716462,0.45150444594448247,0.5049652676355497,0.686823625782891,0.6191657531598103,0.8154123519954649,0.8450875000513075,0.7902649460562358,0.6197119897074049,0.5176487701796224,0.513825774441261,0.5138744100984564,0.48366183745618874,0.5001338120144614,0.4736335643985616,0.6655034391645506,0.5120651207017413,0.5816219062905179,0.509279885349908,0.5504339508365551,0.5605995501379726,0.622128272813675,0.6504928060893433,0.7483454274145982,0.8181454421838678,0.9306260884635895,1.0479117180144437,1.233797952596295,1.150191717706289,0.8727947060600381,0.8404599930339394,0.7806026494324696,0.8301374781556453,0.8324513484202877,0.7755955384800961,0.8046949015415387,0.8266654355520613,0.8510245053332376,0.8617443943505798,0.8455547094120142,0.8233522496432332,0.8460725625073919,0.8795928076413988,0.8648748833966841,0.8945392016186482,0.8901293519074209,0.9332289985068748,0.8865331097601657,0.9322936968744359,0.9961427852023498,1.0244372375933293,1.028009030560534,1.0505800619825338,0.9640071487854621,1.162791685775547,1.018088172566322,0.9798759503319489,1.0335674010618836,1.1328701169991564,1.6261250723765737,1.5157018399197582,1.663972359122076,0.9975077478348793,0.9730624752299426,1.0293086484301115,0.9969141142959275,1.0494292303496302,0.921176021262636,1.0388695550651537,0.9893024861173547,1.1429962155354105,1.0003898708511936,1.0325589227671124,1.2925507889651193,1.0787555874100545,1.171344071389124,0.969894377456246,0.8615106001383103,0.8750624932064422,0.9355209688990376,0.9923864187123299,1.187738098883599,0.996735071103185,0.9764268654165725,1.0035138926201164,1.036061406348353,1.029842615731445,0.9269531658904253,1.0479429314641782,1.1082527543658323,0.9712058763225728,1.0580171594140901,1.1854270857283402,1.2425635021469068,1.063159749072863,1.1315680886728203,1.0439794759208534,1.0240409901416268,0.9641193051542861,0.9567937464395555,0.9942063600563603,0.9428460518635255,0.9256785441111663,0.9370447759381993,0.9372381832472161,0.8939759583126686,0.9431174973856535,1.0407274686493342,0.9482186277655864,1.0190162219116852,1.0067419366155272,1.2532438434340123,1.0536095188365107,1.0338629427918447,1.1634201890228684,1.193739045374026,1.4088258443564017,1.0868306930458593,0.9197611456100471,0.8950505805680914,1.0795911010657213,1.1569739736233626,1.249547307220794,1.1513522326963348,1.0207480761156464,0.8576474021180736,0.7768280997233006,0.686189908822967,0.9441139288545698,0.8652469766129577,0.8200751531112789,1.0774402114763575,0.7718191269297549,0.8094621602481114,0.8239972327943781,0.7134606639029486,0.5982054522670854,0.8023138621241089,0.6569184749098983,1.2298330971097542,1.825233610186203,2.106046406035725],[0.7108619417066535,0.7058680370437646,0.9764094590961911,0.5519778908433904,0.6832093379241081,0.6187388960709763,0.5579703280670796,0.620439006308161,0.5577152942589834,0.5364061441252159,0.5249215582933908,0.5950813501609209,0.5536569809423693,0.514353460886771,0.5641001204283589,0.5614599975441895,0.542263935316889,0.5507707165302325,0.5479232777531924,0.5311584123422375,0.5782320359783997,0.6320029438443044,0.7298289822156309,0.8457766889662257,1.0080383594475624,0.6716299512607385,0.5513537061775602,0.5219730008093346,0.5478248315268901,0.5530856871367272,0.6184928229116705,0.6224941385219179,0.6298187613540751,0.6189036333806331,0.6125581437301595,0.5423983871127981,0.6167010795281374,0.5765972658586345,0.5367888964616232,0.5791867619917712,0.6901412093280858,0.6607273952933889,0.6811427448468694,0.8669302015786644,1.108345060243587,1.5758996156499652,1.4246844973304083,0.8538814990894429,1.176586359779318,1.522397879964607,0.8353843551078273,1.9474023722225706,0.7617738369323078,0.9243903894200436,1.9932710226476138,1.2371829608743723,1.3197393175963406,0.8373839393185798,0.8887196041775532,1.6742072609041725,0.7773743675448507,0.8663197701278839,0.950542325044416,0.8435521008787903,0.6720112828383289,0.6061146517929582,0.7117661043238497,0.613539814751535,0.7819844425549517,0.6597980568496763,0.7957791146650326,1.0326855733156526,0.811758798192173,0.9270167014615943,0.6343115890777573,1.1931072423719433,0.5776951221400307,0.5978696570147427,0.5680987047040675,0.6128354060547847,0.6220243736615259,0.7457375621776455,1.0691765578920587,0.6578996443421886,0.6352876508241682,0.6148427730637382,0.5941542757480036,0.6988045378452885,0.5446826090842519,0.6425311603139476,0.5851917409021161,0.7050370503739888,0.6755980272302946,0.600499842433979,0.5985092355180877,0.6475636176220837,0.6803202703414697,0.6095069345516083,0.6586445554011405,0.9135462399569793,0.7007139763970758,0.8077580278478834,0.7551621396260244,0.81355172152228,0.7769566597445303,0.796146379427816,1.058156649764073,0.8205228097922594,0.8272984398258915,0.9766022566903431,0.7844601953208469,0.6743293092036861,0.5834176084071119,0.5908722818226105,0.5237230871382821,0.49994371385186476,0.5939647310807246,0.5410727029348829,0.6496329807563387,0.5765324761122148,0.565643842472036,0.5508091092673704,0.5166587662875936,0.492163889170007,0.5316012851002617,0.6016879242100795,0.6715702737162097,0.6786585121240697,0.6966955689421599,0.7156864472434217,0.7370342101775252,0.8198118363431215,0.7242202342645796,0.7405195893282718,0.6558639734284583,0.7178400104037745,0.792778179830677,0.6309767955426256,0.5877958686819682,0.5689769882479548,0.6682174866296877,0.7708515088238376,0.6089555646224053,0.5479150306243047,0.5561763743089246,0.5180593211854387,0.519588482563982,0.5553739053897275,0.5544395680269396,0.6098718470821117,0.7026312891358134,0.6709509806979231,0.8753041605481678,1.3574875806471056,1.0525999714197507,0.781875342742238,0.6669577470923341,0.7168712031240674,0.6275167969581805,0.6803294078780355,0.5961575890645854,0.5687961864134068,0.5906083155694497,0.5711602806851647,0.615988805645966,0.7267668746220862,0.703892215687718,0.8451916624862911,0.8734691533948094,0.8385821038209773,0.707705076952342,0.6300666451885726,0.609277824465976,0.6255790080361531,0.6132775034054634,0.6507598957884513,0.6199870937501726,0.7695893058350789,0.6307697948550748,0.6893365870158707,0.6451699405556253,0.6952760450294609,0.6837156443263078,0.7361457769616142,0.7545230223288057,0.8622551261219724,0.9058026990040443,0.9003096938452824,1.04857347859514,1.182849094606143,1.222185934116551,0.9853472583723754,0.8772427111371992,0.8193418890504731,0.8187103658366391,0.8368921795041558,0.7910629473456026,0.8277458912717559,0.8350423552575651,0.914030421794724,0.9080666599954015,0.9347482640176608,0.8994527542172726,0.8838684476128709,0.9332638287754141,0.9339050444124573,0.9431913647720436,0.9170120771250249,0.9991992704483116,0.9304994894099259,0.9541972188931598,1.0189852945786697,1.0510117594951944,1.0247488193316574,1.0400761144089834,0.9667868453599607,1.1590233919702244,0.9899598538031495,0.9684261382217189,1.0435427131950452,1.10764013364621,1.7436327845795476,1.541950301793516,1.7481527784903268,1.0621252231742304,1.083393973303141,1.137042654518097,1.0619260845619747,1.1097313471680819,0.9575124154989172,1.0504820457528516,0.9675835378187196,1.1220951626311844,0.9837627416994099,1.048260687234489,1.2303078540374637,1.0674374173433094,1.1818389614933482,0.9685493969231821,0.9153489137200957,0.9130788363906959,1.0132834376845299,1.104716645493282,1.3293190091586613,1.1562505083882033,1.098318496314051,1.1305930156609025,1.187772947437276,1.1815284981865244,1.0542427969759784,1.2049718317261993,1.2711307197746866,1.0786578710627766,1.1715322180795456,1.3258619113610008,1.3515854561011669,1.1511815494644717,1.217853457270424,1.1163414909157814,1.1093564531003781,1.0659269292998115,1.0415432438646561,1.0432194537442088,0.9943359043557336,0.979549818583333,0.9730659308201481,0.9600072947251651,0.9138655128352523,0.9567254764267068,1.028483547953898,0.9308322154234878,0.9993972734991468,0.9987191520416299,1.2321677510878026,1.019985026076485,1.0142011193907576,1.1312396007669998,1.1673504101908407,1.4208918520308909,1.0884436046155068,0.9227234286938296,0.9322063633882407,1.138926686329501,1.1824672034836539,1.2377847201274652,1.1624230829158533,1.0371583460869196,0.9198364250686729,0.8249739178577706,0.7654556800798289,1.0253215182131437,0.9495087512859803,0.913687579381638,1.1438936069954262,0.8696614402684659,0.9104088606571089,0.9341486814034593,0.8404826139133716,0.6934195900314407,0.9376175027789608,0.7301660501954923,1.2962006582627024,2.1580100075605673,2.5181702810044855],[0.9167148489648586,0.861929574463373,1.0841257306576646,0.6678288398724996,0.7735895292456932,0.7372426200927709,0.6673684926334144,0.7336249470530445,0.6454700705536722,0.6071410041506582,0.5900203672719732,0.6518274674781402,0.6228718286340612,0.580942922500458,0.6300882365458949,0.6410435783653965,0.6153174960620429,0.6089543580980463,0.5871581506112046,0.5962697677464919,0.6479355431731868,0.7051516932327385,0.7375105411973523,0.8772156953038512,0.9922958266589521,0.7074608089252844,0.6293627772750029,0.5849061842786225,0.6172705535900523,0.64352265168412,0.6873390050933064,0.7210143763726343,0.7020058268600938,0.7057823526838988,0.7112707992922365,0.6390111545611105,0.7162577305997242,0.6636513891472919,0.6366198222058966,0.6636707464612027,0.7674226999765855,0.7498675484708502,0.7694387595670527,0.9135063070121592,1.1164011421226465,1.5439874911228086,1.3669955077315452,0.8906844658552744,1.2210651845192735,1.5323387945995497,0.8451202603979854,2.0209828060671935,0.8457016508763122,0.9832404998380292,2.008000852140981,1.2876142224981313,1.3951233428623142,0.9347183765838517,0.9972690762501065,1.6738593484109647,0.8457239456781371,0.9511151664363218,1.0402254915704656,0.9069812096130455,0.7293971572821353,0.6881664148890939,0.7656138535013429,0.6716716486349945,0.842951833012834,0.6828284937353882,0.8681097533289954,1.0795629647009035,0.8173852640089807,0.9312167914693771,0.6979444459241324,1.1935315791005847,0.6619025512961043,0.6736932595916112,0.6497415234473821,0.7144767316123998,0.7333719974036877,0.8444260677337215,1.1460441476678662,0.7231486354427554,0.7096821650443378,0.7124828238309048,0.6891421395534346,0.7892146156453718,0.6418226458807053,0.7399644141725119,0.6713935148294276,0.7555114770021193,0.7307517203221706,0.6730350415721992,0.6714278204108333,0.7086598888703106,0.7585072586274911,0.6804207620258436,0.733261009626508,0.9843219653838147,0.7995163237225249,0.8806602227679485,0.836201666098252,0.9107566936935779,0.8828029607063921,0.915599238867145,1.1650227314941208,0.9150714337261915,0.9211465887544572,1.0724641770637955,0.8697542801962592,0.7683890949864537,0.6886850303513108,0.6858652094533108,0.6051221221709894,0.5916018968233192,0.6352522105809774,0.5781711252829315,0.6561884493342715,0.6324601304513776,0.6140807111576573,0.5988029976142221,0.571668520494679,0.5824616691194362,0.6186619688538055,0.6956252812823764,0.7717006237687576,0.7596160072381409,0.7963965275020003,0.8252845714346465,0.8280221773784762,0.9218724521607405,0.8240738950270866,0.8417494693976194,0.7534091030203723,0.7781999079531199,0.8793236243315168,0.7124925458347879,0.6574050705506218,0.6301918967138941,0.6942536728883627,0.7860815411918847,0.6169625656428737,0.6074755174916798,0.6267207993297763,0.6162615347359076,0.6079357469385013,0.6373900745659417,0.6598274341172001,0.6992796732590231,0.8053529958591914,0.7555805292337564,0.9332249151486774,1.3874571177290012,1.0987431131944896,0.8600485346289992,0.7476796376841307,0.8155150326106418,0.7207999104066932,0.7675603075745402,0.6932670100324987,0.6549409155388611,0.6507715049101727,0.6485088048224213,0.686014745719293,0.7884809061434613,0.7812065392099693,0.891195679418937,0.934210313534499,0.8953891567455347,0.7873635028282308,0.7048453341535187,0.6838217184530819,0.7000531314440878,0.6979784204949809,0.7583517081523232,0.7372660906040127,0.9013345690352697,0.7218856260394202,0.8043089457307068,0.7333006428062165,0.8024148690351293,0.7967932812583715,0.8381168103750741,0.8328832786550866,0.9323665569734438,0.9633571718108188,0.9366836085605013,1.0451921910726236,1.1545391687270519,1.2645979671052712,1.0526927821295071,0.9560202773682521,0.9012557407818184,0.8431292736233059,0.8747350211097031,0.8482879050930824,0.8874596540037109,0.8845404821166319,0.9795642667526491,0.9671142051654946,1.005997720093104,0.9617152423370517,0.9367768191489602,0.9896505000041017,0.9875725373675693,1.0047326110482218,0.9608920663242473,1.0452450362144983,0.970405160518063,0.9825525501802697,1.0399904715719257,1.0630359986384366,1.0403032738985767,1.0561998739936522,1.0041082315333003,1.139716835848421,1.0227190473058203,0.9908735138940354,1.0557764747927634,1.1296589195665785,1.9903157030251548,1.567697432439534,1.8042040496322487,1.124896610205444,1.1617696461621156,1.2158939373828421,1.125265515912766,1.1654361250250083,1.0167803321699282,1.1227637562161519,1.0156980920974736,1.1552728743950507,1.0338082379113847,1.137006369889694,1.2184860127993975,1.113523994242835,1.1861006302092156,0.9925413784707364,0.9817557579393879,0.980540019656416,1.107263129851799,1.1874420873051001,1.3980672103182898,1.2501390427399213,1.178609703995617,1.1984553393595407,1.2416284757170541,1.257871111434126,1.1253446937724514,1.2783849140263244,1.3435086909391525,1.1258467041291358,1.2182456092196443,1.379593824984111,1.37249188888307,1.1719189879345016,1.234415561338408,1.1546492927603456,1.1538098241835943,1.1389805129738377,1.1180807610736907,1.0969871296344829,1.0581519720122274,1.0510591698516047,1.0347537288079582,1.0197297381790196,0.9759115900004796,1.0248187189164086,1.0711922749865954,0.967625691706314,1.0398135500733054,1.0475922655882992,1.249134144472172,1.0536178752829588,1.0707590921885812,1.1437964011951585,1.2169514055320472,1.4122389867864429,1.1434745751797968,0.9764227421802399,1.0008510946405074,1.2124111419186205,1.2292326021509157,1.2620701165171624,1.215167259685324,1.0738140033061294,0.9754422169963993,0.8831594678529578,0.8353289625809389,1.0607118320766593,0.9891950064004316,0.958487653767176,1.2168893019502487,0.9313345633473075,0.9677332705714032,0.9899249262059135,0.9558858890725186,0.772754746035611,1.0298516020687536,0.787594730762735,1.387440168164454,2.3429362199927453,2.7542242010815285],[1.328827782059338,1.3543131250009184,1.6436715928142351,1.1204283482535604,1.1810508627117529,1.0893185222604589,1.0236044331213088,1.0967197138955664,0.9513816881836988,0.8893000994743283,0.8504706045096622,0.9215551341902285,0.9098097340597852,0.8313275941167855,0.8686530292265594,0.9023669984908058,0.8838084713537746,0.8579134370047361,0.8318483827252398,0.8558887378478308,0.8788286384249631,0.9510026070323763,0.9118955764290855,1.0811624662979553,1.1536579166586982,0.9219585375227902,0.8875480084882741,0.8599284869731477,0.8867395660287037,0.9092232274640956,0.9116778062843589,0.96226325881801,0.9510667591203646,0.941552108925854,0.9612536122586198,0.8864070832677245,0.9907781237721457,0.928976354943079,0.9503802857917325,0.981371699581635,1.0633609881930057,1.030784654540517,1.072062552213965,1.19905984705308,1.2820625858801733,1.5711396403027078,1.4372099581246216,1.1158241892654024,1.2859945710432632,1.5514091576412699,0.993136586974196,1.919235510950535,0.9433415030796041,1.1536245870271928,2.2272022462740693,1.5982133878684397,1.6991459455419304,1.1473244737802257,1.2169540500385998,1.9951969359439279,1.0820708786864792,1.1184700111427444,1.1491274406935132,1.029995817365904,0.938747143924153,0.9093228115778658,0.9349155037342667,0.8926085070330704,1.063203971062102,0.9062593381579453,1.0919825695715224,1.2272251581647622,0.9976766692941531,1.098738036765174,0.888606020483656,1.29348577590997,0.8722755030572874,0.8862017418514385,0.8925681055682604,0.9716773454742634,1.0086264306804897,1.1432527218923887,1.3186218636618012,1.0522095432412295,1.0219950123612869,1.0312223840756303,0.9814111141701,1.046852597796066,0.8821734826312383,0.9706674151009478,0.8768362767235521,0.9354436459106187,0.9365216206062968,0.9065261898171888,0.9051298838614724,0.9213813733615588,0.9799018971931368,0.9290340472970603,0.9940685400687923,1.2584496921653239,1.085404793787941,1.2137429959815658,1.1655085983100948,1.2926281521422338,1.2758536318886828,1.3329160106284372,1.5808948665966813,1.4331047315571093,1.4501441599733256,1.5063252574018777,1.3280496425097899,1.1835985956250903,1.0584161660097728,1.0403781328907482,0.9119703340127575,0.9100767563648443,0.9184541150140948,0.8743185516735635,0.8821355580960977,0.8489099849872469,0.8431801094321607,0.8317354172404012,0.863530658009436,0.889858457480767,0.9520248730665777,1.0708949294268941,1.1550338745980557,1.1921835311959001,1.2694314454514202,1.2828373915747775,1.3234239725757782,1.3989671709719163,1.3157713451342505,1.314944333430325,1.2123790947233055,1.1848748204026711,1.2624749526748729,1.1297582478758446,1.0532159372476002,1.010501804115428,1.0339297137524053,1.086636739345046,0.9544720045361362,0.9493827513563023,0.9230861496582661,0.9143688955599474,0.9333231928678113,0.9571881379583139,1.0163818627156647,1.0421301360997628,1.1883759348559082,1.1134328187539888,1.3058479817337638,1.6182644631137555,1.363182832881351,1.1796443822788067,1.0644413123653391,1.1763606350335312,1.0395250131018856,1.1560097889795165,1.080497280207446,0.9849563914570072,1.037712485988833,1.0220901128509317,1.0619889515215053,1.0722315473436563,1.159373570192168,1.2270619442080413,1.2872655733565528,1.2125232722707,1.1938868454079359,1.1229778666622408,1.102473111169988,1.1231512766577678,1.0878683437724532,1.1315488892990813,1.0512650017165621,1.1766335041028269,1.0715969985098905,1.1475823715883897,1.1243355168729365,1.2358938509609527,1.2489319818151166,1.2945496253988698,1.2675133046455827,1.2856733443701867,1.2714687131038114,1.1468080853671556,1.2395190121057813,1.4264883415900391,1.5302654444433743,1.4487263557214554,1.3517557812709726,1.3436460368036847,1.3474474310221893,1.4078830120022499,1.3820657982731555,1.4480235991792543,1.4576895790882636,1.502757989582605,1.5911519145742472,1.616942552494806,1.5279423526922624,1.5584815208779386,1.665522108229997,1.6219363759894474,1.588924104772771,1.6429968049620385,1.741358048010422,1.6416075445736642,1.668220428920829,1.754695572179107,1.759869923815869,1.700059748409613,1.7420959627340886,1.6915460349318967,1.8296324878601007,1.6895865190851298,1.68135884021767,1.7722364958302728,1.878918406800782,2.5018073588622904,2.2899169704214173,2.296892007496826,1.834590380615497,1.846820495153549,1.839212927894592,1.7513817803787148,1.841984920700391,1.6807555199489095,1.680900043862799,1.6990521088583799,1.8247357017890455,1.6400108483284157,1.6466827007550344,1.8285606292945078,1.7289155840933361,1.7109366015115306,1.5804510762731714,1.5399188133616455,1.6210233462519692,1.7380027920722718,1.80614118538175,1.9504802283744156,1.8246351356771973,1.7794243709009223,1.8481303613001803,1.8469668022289825,1.8379753379127526,1.76714726619409,1.9062551527361773,1.9278594529363053,1.7676255258565743,1.9147666495959645,2.0316795585867906,2.0229263220447415,1.8953554545573295,1.9585787407452964,1.8944378838387275,1.89250778827945,1.8466959713366964,1.837543081226362,1.8441530484589739,1.7497880366955205,1.7566669534318822,1.7306524852802279,1.6976961062869005,1.648005542944659,1.7341089904121256,1.7014930479043564,1.6618078662929348,1.7248514964689723,1.7209204385084695,1.9391869471244787,1.6781123807847098,1.6289736716536523,1.7215790037957577,1.7292452954688329,1.974602317021693,1.7031477177529997,1.6012455798255656,1.5809941544936876,1.690138137460043,1.667670668070452,1.7048945392319226,1.608013138990349,1.5969396371406284,1.4785105144155275,1.4057557488772916,1.3226207881929835,1.5888681662862283,1.52417172853965,1.5530321107228007,1.6355281265989874,1.4507339569023154,1.5695117981624165,1.5642439586500492,1.3326995713492722,1.2676332796278558,1.6352593125418171,1.330078526247743,1.4091685354383403,2.351900995208445,2.725948109474637],[2.44050505359037,2.465906815314525,2.7077112720277983,2.325609873612157,2.364459353201877,2.3635456610626773,2.319355756072654,2.3241417746072313,2.1674727608421196,2.1205554543236707,2.0131026653504134,2.035356316971526,2.133818797338464,2.0081291543309883,2.0102442117989012,2.09540116996044,2.1007022848460557,2.048708397615057,2.0147612149751453,2.094267099561062,2.0655832047865132,2.154158610466731,2.029225170631813,2.0909108150804827,2.061028045760309,2.0276489144364898,2.137040033662055,2.124799885949118,2.1421208889804477,2.1736823351710943,2.0791744414794935,2.174136406693203,2.0824925713237206,2.0644566547205447,2.180973989968544,2.124630021602193,2.253319742626339,2.239816082637592,2.2677873913042395,2.29914288357662,2.259512409948987,2.2493833118955573,2.28928693344173,2.368967745499788,2.358156181744558,2.4494752374609097,2.3470554667420367,2.3145058183955634,2.3345865029078112,2.5149834449141486,2.217366108026103,2.5075304639265568,2.2207486667199205,2.4829284820191884,3.375536269862117,2.7698519614133037,2.7664125228991416,2.423027604963744,2.4500097749429592,2.875425254238419,2.135818707065402,2.0460959261843366,2.010316556171672,1.9801695637084402,2.103956667993177,2.060233077157757,1.9852897343701472,2.048717038901133,2.037644066921136,1.9078296341585337,1.9401717552408615,2.0406556806033893,1.9288846706154616,2.0580057311315985,1.9281077279814705,2.097926101080483,2.026547654341079,2.064372375387529,2.1241622769007273,2.185491190238918,2.252178845612902,2.3650694396847687,2.402100868496509,2.354455295424724,2.3330944562223186,2.316807065423873,2.2832436926080737,2.2720246328002127,2.147573833397053,2.171899311748081,2.0301198998176546,2.0093521222308444,1.9993309488779627,1.9591600100990132,1.994628416838038,1.8768004340229079,1.9700835309073355,2.0295961516097516,2.09862021162663,2.2183294465239847,2.2250436203098967,2.3174493995451626,2.350408343949671,2.429347705488969,2.464953596538104,2.5437089315465835,2.680101162764971,2.5813814979378447,2.579854496398781,2.639963809099338,2.524381778006246,2.450364317752771,2.3578916388613953,2.3294773201495755,2.196163950692886,2.1819857048669777,2.1252130613439055,2.0974750560417843,1.9897322165783726,2.0260326542204092,1.968015102531014,1.9910917352868667,2.0481729767393544,2.140207630516102,2.219057161727539,2.33576129746197,2.4087949209282176,2.4465801608829496,2.4770451314483237,2.5063715112153866,2.496501655023791,2.5569536760564207,2.5313551479754723,2.532194021494896,2.4691395518140364,2.424513561119052,2.5128159168122437,2.399750735853553,2.3226925601576722,2.3071326744119114,2.258889393598242,2.310247789328731,2.1508070580473606,2.219373822170876,2.240688851403115,2.2132759488591813,2.238914381429843,2.26600356166814,2.3140738178876172,2.3030981553749728,2.3976689964686915,2.2903474213647574,2.395511333170126,2.4905257495666855,2.3221137350271106,2.283921517670369,2.2439337333457354,2.345833441371791,2.284628562015023,2.387642301752244,2.37088740263164,2.305437418310898,2.3137128547731827,2.3323564329824165,2.3628580807337354,2.3427495269681704,2.443030439400621,2.4632370887747936,2.500894861210405,2.450793608297747,2.456154711221592,2.3892710784857982,2.3727034025904006,2.411699050739781,2.3977708551476855,2.397403145585171,2.3496154770853726,2.3628225585524745,2.3803706931871114,2.4028909951758037,2.4290936815291757,2.486910582666225,2.4977101838397195,2.5358745970654857,2.5167529832252566,2.541793127411255,2.5207972446781812,2.4623984153765934,2.3825731696692647,2.55020422362855,2.672303311951873,2.6136583016954003,2.536930989770263,2.5226905230122676,2.4874268342107504,2.4993877986103534,2.4870913696469468,2.530798472768419,2.4898588845016265,2.569354117799984,2.560395771155345,2.6102362357656266,2.5778386249867835,2.5294720386007232,2.560460230192498,2.5907765052556444,2.5398593131377263,2.4931792058000433,2.562721797366621,2.5594078056711624,2.48398041763371,2.4596998135209476,2.5512153328090905,2.5216056848717505,2.346070364796141,2.345624697969203,2.3430277347043433,2.2572443874858856,2.317583068667299,2.335233709872171,2.3916574707964404,2.927802425786642,2.686976531765353,2.760045460007379,2.4969313089705203,2.5699487486763273,2.67632917397028,2.5809687609018526,2.602662953981451,2.542133786638239,2.5839464044733536,2.520669896019941,2.564091320681436,2.5315775955922746,2.5763496619394037,2.628185677583803,2.565650088245268,2.624409080012521,2.5076596323791454,2.590417145147601,2.6052635837589824,2.6690132875768966,2.753791846351007,2.739945868070377,2.7772483115590605,2.7709655186107676,2.6978917803339764,2.7089837010001445,2.7885168029099012,2.6686421245056557,2.7271508692568704,2.765966565179199,2.6460985103175783,2.6336761578609686,2.684893924039138,2.7390300477928706,2.544025163982269,2.4822689643687035,2.5011761893090783,2.534222720407637,2.610129307473085,2.5482716573472546,2.436399520817613,2.50199427739707,2.530846891530602,2.411544236517613,2.4005366559879078,2.4787348520324826,2.4758432568885285,2.3592924245348947,2.404582272453704,2.5127400449515327,2.4379905676433173,2.553848286062031,2.397938153535358,2.408745661431069,2.37563779374113,2.3970164559088887,2.490960263755553,2.4480235057981186,2.43042409857864,2.5169341259690174,2.5571290007515635,2.5376436642469815,2.505356069014648,2.4834625432274215,2.4858337546348284,2.528136467358021,2.4834433384539674,2.4810111995510855,2.653980732765665,2.5963057160557153,2.564475423566083,2.447013059878805,2.5653654782879762,2.6001977000703063,2.4968423510610007,2.4354444943707634,2.4319227605739857,2.550209318542945,2.275734447390735,2.350357996956574,3.077226564430537,3.2184152511269977],[1.849507712010605,1.9200951978985696,2.2382232525142185,1.6097379647946617,1.7820485973133635,1.6570121787792058,1.5762388874585886,1.637362388389122,1.4044987957988564,1.3103334595562823,1.222649492719398,1.323574391239524,1.3445461764221378,1.1846890827048486,1.198125345193628,1.2979398386086334,1.2982345824331456,1.250476027754636,1.2230621395973895,1.3138916277369235,1.3095231071083129,1.4133862949982552,1.2841730007078553,1.4219997088415988,1.4846957567737187,1.319115000664448,1.3986352149865144,1.3426217210538511,1.348410798357133,1.386834503933358,1.2728162287830318,1.4023167248442578,1.3558715547862743,1.316405476481178,1.4176541472472879,1.3448667801088718,1.5193403705756166,1.4726877540229661,1.4908077428607966,1.5674462256279593,1.5791475166654747,1.5376094759380337,1.5879389291820303,1.721232543742487,1.7571800228108776,1.9759860002040643,1.8954069496683337,1.6379192419958006,1.6620281577963736,1.9117295931049263,1.5069201602258235,2.034537595217544,1.5322785343101262,1.7818570710157058,2.8634265619754755,2.188754209527973,2.2201037451440206,1.6895108342944147,1.7958553100073726,2.4524083300902264,1.5261809732740723,1.5534687279632216,1.5003003977933869,1.3330412928468047,1.3618761449591914,1.3731103272545213,1.2973174423355767,1.2808895320429825,1.2742749309784716,1.1922919633199238,1.2450998053160927,1.3321552819237317,1.228345460520737,1.3166326527574592,1.1579934456480168,1.4365836044149223,1.2696452264366413,1.2890826881022537,1.3575370223776198,1.3990378434087432,1.5248801410223203,1.689633432705436,1.701548758330018,1.665105932310048,1.6200874422216351,1.5895729481775525,1.5317334494950574,1.5961591040113439,1.3625049697579705,1.3655010522930213,1.2564974343580975,1.2218158748191221,1.229981084291678,1.2086032192849163,1.2147465494739518,1.1368330068070756,1.1986577783083803,1.2944385707707715,1.3926069911935504,1.6444158086722103,1.5627398559167902,1.7731427883794024,1.719918803002174,1.8839059516207444,1.8669840672896008,1.9421258307932048,2.215378307680473,2.079540718014478,2.076663499488859,2.154950326341673,1.9775604392918555,1.8102081674366692,1.6349353174854306,1.5720920831990988,1.3941502393347271,1.3671381264769984,1.375275190127202,1.299133228098303,1.2115385904165772,1.2287158294321674,1.1933310397734564,1.22441040660485,1.2616578011616646,1.3179856477418554,1.4102938366122733,1.5991098240064785,1.752276298748242,1.7996731702695128,1.8654453828599877,1.8952100388401387,1.9363378411785084,2.0586836803702138,1.9616802429147289,1.9457944962489329,1.784224830452611,1.6940856277238174,1.746718064378129,1.6559274939223316,1.5331642352270018,1.5113686681484264,1.491954192336616,1.5382587112064734,1.354589778868892,1.3904388942783068,1.4176636212488,1.4183706228765176,1.4386128245621632,1.46336680080021,1.5854035633293897,1.5661901513143277,1.7604034613203663,1.6547892616165985,1.8497788362085892,2.00968772393223,1.7320133284921677,1.6827961171783723,1.573484305883124,1.7381573549724887,1.5754874321200911,1.7166797985367,1.6496531650235613,1.5381154003233397,1.5746697996343664,1.5757651714392398,1.619253937420483,1.5714548147482383,1.7252406548796666,1.7447247482754988,1.7867697695169682,1.7254326230254917,1.7260030651452951,1.6347479704354857,1.6363302061495442,1.696021044882225,1.6864412602184515,1.7247652445760648,1.64931472022138,1.6756240580361328,1.6774370923013473,1.757408157572542,1.735046894333581,1.8272082589156708,1.8747548524459046,1.904531811411301,1.87395089460637,1.8815911537362338,1.833888751984687,1.7779463288855593,1.6661894915868996,2.0265052949772793,2.108031499422928,1.917685115966037,1.8775607783479935,1.8992783630620294,1.9554171522959796,1.998971937399737,1.9207607092549945,2.03271022293733,2.0543824274869515,2.1266067446724084,2.200195666809776,2.2624725154930165,2.1653967205433906,2.1590457667732013,2.2731436952439,2.2563975974127772,2.1407424827771506,2.2101083926737455,2.377195341992825,2.257777252098472,2.2178071432016813,2.3367205068566337,2.4052470913442585,2.2716007970659096,2.225403198061699,2.165191977534549,2.2830436837904804,2.0492188172296433,2.1280820084608774,2.251913183879359,2.2671587139369507,2.714328478543755,2.602924113578841,2.8126133781300675,2.3826467390287847,2.4318443498309,2.463984245816112,2.3588231546841847,2.3926489110096396,2.264760744728834,2.2607568740181474,2.2405649518330706,2.3010411694308366,2.188137154567137,2.212704777166245,2.3333490808862813,2.21346317674169,2.218533538544292,2.146314245760164,2.1592592092139444,2.232154369820371,2.3450958590044912,2.4224961916249264,2.559395191621667,2.470824520833268,2.4401348681326516,2.4985771207299114,2.5209364343235663,2.4894205106127165,2.443195130663362,2.578521493906099,2.596382016895421,2.4608974220909987,2.593742355616334,2.688639853121897,2.6833348136879946,2.5464569167999573,2.5579333497918375,2.484038598040631,2.5121346262602025,2.4719076832903943,2.435945513547137,2.397167865093632,2.338324332403392,2.332543120399233,2.256851050554482,2.20942799796076,2.197836180820953,2.2318832236620976,2.1661572694183313,2.1227168769078433,2.2107499183986374,2.178784211969612,2.3140249967371203,2.0572805172108755,2.056695167776096,1.9879923292263288,2.0167737430506967,2.332792654494091,2.1254241536903016,2.08675702436234,2.099216202888807,2.201771462013326,2.1885977990309815,2.1538694158054468,2.155888762732903,2.1303090409868073,2.061879328337742,2.0286265568369597,1.9285132888526837,2.2049299964845255,2.1872086742742156,2.2448418541893997,2.093707044210041,2.0841189625112717,2.222856350546892,2.2086523337552726,1.8973394418931029,1.89786402936457,2.2382766039233117,1.9761080839553424,1.8262669334632617,2.531326957248896,2.757731650697981],[1.619537266225611,1.6397796833494729,1.9276689814851722,1.2850194915511342,1.493617647570074,1.441283364307846,1.3896631349476458,1.4988255630607314,1.3242454463959692,1.2638875049859595,1.239194204929071,1.3461602742542707,1.3020029281593488,1.1893789296265656,1.2681042266324818,1.322600993974329,1.2842233785480395,1.2776385404253208,1.1931666254706894,1.2421078431417103,1.2131314762463208,1.2887631961342703,1.2311931138276784,1.1898586389038495,1.2924495024897902,1.1287254150542838,1.1933808640336894,1.2102344833395908,1.2758739338702283,1.3405926312577867,1.2981917204641125,1.3955719355634562,1.4269639977918338,1.3899255539387376,1.4041823326415186,1.3257572066909902,1.4337520877129561,1.3503467730036796,1.3365721335775498,1.3847144826891393,1.3759831535266946,1.3445817753976619,1.38162593968955,1.492768787589353,1.5537988297085967,1.828580270494864,1.722979811529164,1.434045065945758,1.4999581015906394,1.8112114612009733,1.366966881180315,2.0432412401337343,1.367514876947312,1.5530763489160602,2.6258038998445103,1.9898727608053288,2.0187437393491914,1.5624617190731926,1.660224677206047,2.3107580219179944,1.4184299386419503,1.4992779717626572,1.5006596895970241,1.321598444973181,1.3218287560169595,1.3014262832001506,1.3535553071718571,1.3574017910092084,1.3137344779150357,1.3039226301353626,1.3259879587082346,1.4533936087823476,1.3692022214225568,1.4451715676568722,1.2156514656738504,1.490806898351415,1.3346136734661513,1.3503397945484064,1.3690419568630454,1.3691232161241857,1.4505431092386707,1.5563225494514987,1.6490348684338145,1.5207675811517034,1.4066161636869678,1.4385442963612396,1.4069974478078497,1.5370027426431998,1.3306619720580282,1.382193375845116,1.338120631369623,1.2926575429359477,1.332327689123585,1.3419376209076126,1.3247123798920732,1.3380210367236045,1.339327727263429,1.38855262830248,1.426178829413018,1.5817001216840678,1.5122046828537414,1.6834919088293758,1.6111299567839126,1.7490334344317604,1.691332527438492,1.7239274551873622,2.011562915549792,1.8357850525236978,1.8384341890934988,1.911696748318809,1.7361834554604623,1.574151242785163,1.4545316694563935,1.3631880784711834,1.256067751031214,1.1804286294970197,1.2024996989338996,1.1555489185043126,1.1819781628763477,1.1762775302033182,1.1325513820429347,1.145433173662545,1.1175868200531038,1.148663174082237,1.2320222316005118,1.306573126031702,1.4890169192207945,1.5248362595395126,1.585159255683122,1.638471656905853,1.6523680614737768,1.7913799831162507,1.6722574682090465,1.664875457372883,1.5113908360457855,1.4591544821709128,1.4221658683872391,1.3540340983638743,1.233160073764926,1.243566016816318,1.197051116827625,1.240126213250068,1.2045825084977244,1.2173774077196957,1.2294817773785132,1.2736187801733094,1.2742242677653468,1.3520310246133447,1.425255941581986,1.4333849703323132,1.6105619855466473,1.5653835299028112,1.74793658051617,1.9425608151113622,1.655856252400138,1.6047029945243938,1.5083219174843232,1.6168261884292898,1.4797493348980324,1.5776456260563068,1.4632895223106963,1.3884292821911068,1.3559466945304917,1.3589200904267318,1.3763347285784813,1.2904345632152172,1.4308452002538095,1.4338481745970273,1.4916684428882212,1.408320392584095,1.431249730488215,1.3563951996194379,1.4042950072400262,1.4744991392915954,1.4950566930813218,1.5638543567657162,1.505560977465315,1.5794622064483987,1.528303787869565,1.5939957665536053,1.5009996975877684,1.6102253011568437,1.6241532786620683,1.6350742677690577,1.6012349425794878,1.6212192181114882,1.5813703596533826,1.5499393283892573,1.476520013955708,1.8478555594199582,1.798263675318126,1.580373417893679,1.5732864799259518,1.6084512285479131,1.6925929521787315,1.7137143130861667,1.6370582368951248,1.7617136569763903,1.7901803986042855,1.8578723176374123,1.9562379708316293,2.025133287793094,1.9134819900924704,1.919404654828481,2.0567222728364185,2.0207313464449443,1.8840407232687548,2.009631229025943,2.165837232267752,2.020610790060763,2.017962054784824,2.1844698409845975,2.2091632774002408,2.052404924092253,2.1064674425288126,2.0196646061930346,2.1904336888888465,1.9323179365307581,1.994815887903428,2.1524935738831417,2.1614288029911433,2.4924628807131817,2.5393809896043935,2.7223245717699105,2.2033726583606645,2.222198566526831,2.218885590911386,2.128441198142209,2.1739432424808784,2.046206653290657,2.0410199515211054,2.0350763996192835,2.0936918716604493,1.9682745706417841,1.9749279294265407,2.1315255961407353,1.982430594758831,1.9584202700565414,1.9286495364763394,1.9135088134847045,1.9753339090595685,2.113336294681248,2.163515512644022,2.3525477003176722,2.1879900760140205,2.1489905282867174,2.2507226319751257,2.262010366182633,2.1728300154093483,2.185253994187122,2.3079928055527112,2.3160760342850315,2.210475040793347,2.3650321947412514,2.43554821219772,2.4378468013928485,2.3482911339656756,2.3867750557865484,2.305460926119258,2.3284982902984033,2.2622820141159363,2.2408519781798155,2.2418897624484826,2.166485915437841,2.1446951459919634,2.1170032483081367,2.0654774465219035,2.009122366583823,2.0643985430118956,2.0361847868964893,1.9326436984949416,1.9885458951748878,1.996257954242133,2.09641468165101,1.8330845778289448,1.7980524370251454,1.7731362442207628,1.714613015485629,2.1303979006500726,1.8286288859665347,1.8480105069738384,1.8098903694780113,1.8543803823076201,1.8509000874515273,1.8239891210898331,1.829878981042307,1.8716675661882218,1.7406866041042144,1.749160934738285,1.6412452741983476,1.9181318315788625,1.9471291179291728,2.017400181657491,2.01298842331941,1.8506363148709053,1.9717219943013542,1.9902138085824261,1.754103343703814,1.6920612372993549,1.9979155846791607,1.879394767429774,1.8745592920644782,2.4520412536489045,2.700712213377812],[1.3824370056863862,1.3105010648820246,1.5159806075483082,1.010141752910045,1.085575963315743,1.275955600369689,1.2873535433369088,1.390865673602881,1.430787570599977,1.3522874397465785,1.41683176084935,1.5024398516799282,1.365085243642632,1.3467040122570242,1.4365618890800875,1.3887583287083842,1.2737352414463163,1.282325734681667,1.2065857066497718,1.1970355559267696,1.1819014664451164,1.211417755296501,1.242230060125399,1.279169678281732,1.4657929422320473,1.2135135949380844,1.1115653735294233,1.1515361340087045,1.2385387469973956,1.3118783315091669,1.4476678259184133,1.4447492003126974,1.4771705463170544,1.4831409056177032,1.4113163199177963,1.3092615425855894,1.337252954707921,1.220880343798789,1.1590468385222412,1.1704180259324335,1.0895148001360653,1.1282581437174832,1.1086650227809158,1.1766734288135643,1.3021488743079643,1.7200619875045562,1.619263102363926,1.1584109250155585,1.4149801603037049,1.800387932944956,1.249688681095198,2.089027471750666,1.199346509419533,1.3029256499794568,2.2957977936787617,1.6075054498699575,1.6180260849120596,1.417464050727499,1.4030571830000105,1.9029689645342758,1.1940633116206272,1.255555046105429,1.3441304666369358,1.395125044594845,1.274534225767441,1.205799395139274,1.3151600566252026,1.2844556238036395,1.4314812128416923,1.3659929573049132,1.4858970211806946,1.690515541989644,1.5275853695549644,1.5072906959156467,1.430384367053964,1.812559650946836,1.3292611287358413,1.3910591942201427,1.3272336637666855,1.307081296269679,1.3569272027161896,1.3176456081657968,1.5186123894261498,1.301942740309378,1.2210608116108297,1.231442349502578,1.2653814568868342,1.3866287070579821,1.2787636848882802,1.4715470881736297,1.4127039206948928,1.5544447372244308,1.5206234670812864,1.5175535753024094,1.4933152908217981,1.584486144155236,1.5525018188245017,1.5266548140326142,1.5247268907761744,1.6611954004690737,1.514002408643959,1.521802405737005,1.4476115740643518,1.4916718275400345,1.3573264828323244,1.3517203018751531,1.5237445706102342,1.370577723566752,1.3715294404266882,1.4454180481081929,1.3280220463118182,1.2164275276665464,1.2605883388079924,1.174538094914477,1.1970924122754654,1.1067225946366335,1.1825818684452902,1.0367200261777303,1.1532443103516692,1.2454660981732715,1.1855887439724526,1.1902039656917718,1.0910599721557892,1.1086454260293546,1.1633507894578399,1.0871341916691708,1.2144680916815374,1.177953013319975,1.2032026002569642,1.2248518387810992,1.1574068411464793,1.2611228801855372,1.1670411094792592,1.2204545305034475,1.09209379209346,1.1926636129367676,1.0803640179232894,1.0236316281929725,0.9650032510273023,1.0066637734079547,0.9561213619238275,1.0317468248763384,1.0546992322538444,1.0463982297174546,1.0950503889211076,1.1362945987685782,1.1203987461785503,1.2530234086485381,1.250174953054781,1.3445379875132237,1.4144116423162847,1.4942089814136932,1.6614250660037235,2.0468662129035966,1.8095243796342844,1.601356926125001,1.4560259442217454,1.4612470640935418,1.354123290364123,1.3819317560461437,1.1887629947968286,1.2040800768327538,1.094437682546637,1.103769709949372,1.064032319081028,1.0555770085471026,1.0369172087929168,1.0849832993114799,1.1226605980508473,1.0666752331881437,1.0161304056584222,1.0256234072274422,1.0870823507736684,1.16635117081798,1.2312966573000153,1.2877628599235322,1.3139535478062794,1.414015095743736,1.2763047952231488,1.293557783676315,1.1755387889299078,1.2380828478763501,1.1955266391720518,1.2062538442805957,1.1888532367413687,1.2463782432449735,1.3025874040108312,1.3834784866644878,1.3461402513963452,1.54653826625841,1.4256612011326084,1.156876947143286,1.1511235529654424,1.1556498585574002,1.2357579672236805,1.2162072436677638,1.1532541097948246,1.270470209994166,1.2694003921391328,1.350088853351718,1.4488118761508633,1.5161931205856405,1.42102202497451,1.4045844205646423,1.547408605643913,1.5454269741679758,1.4047166938834388,1.5082476220697716,1.68695569265026,1.5637365297013137,1.5658245071539825,1.71717936576452,1.763045267136666,1.6783812323074072,1.6962438262199249,1.5874313428960547,1.810102430057353,1.586535660339702,1.573253410101383,1.7267558439109365,1.7610423739697576,2.161201719147536,2.150328844312863,2.2284416859991643,1.7037254361975542,1.7132586056731163,1.7464357949293479,1.6244000000732004,1.6931574122494573,1.5401134024727194,1.5527253604295086,1.5315918469498808,1.6182688331706039,1.4691118656325566,1.4835948448177738,1.705718523476171,1.5336329451226969,1.5128740552018798,1.410604426134672,1.395737088307805,1.4551628769355802,1.6050511236222105,1.7077577355220108,1.9116026149251566,1.7609269589583136,1.7087231437390829,1.7921352619976691,1.8169255498341355,1.7858687849441832,1.723648696975124,1.879221961222118,1.921558736212382,1.7850819700356195,1.89941312305695,2.0115479160996736,2.0442229816568434,1.885424758868522,1.9427903010362841,1.8326945384157354,1.8309763850030918,1.7592668542440584,1.7335460805230944,1.7479122398461597,1.664308037971963,1.630542236372938,1.623688092173894,1.5846496818195537,1.5051454668421784,1.5778964569363656,1.6134670028430578,1.4992192897308354,1.5416664333784287,1.5968035496510522,1.794224289321399,1.5036214660037133,1.4486210958486425,1.5634816714150421,1.51973713406482,1.930873684490802,1.525149937376574,1.4056052949361213,1.366422318616726,1.46321229592982,1.479112378532215,1.5201573845984084,1.4316070895731297,1.4190973769011563,1.243098984063881,1.2308809556611224,1.1882134350512674,1.5021909880106665,1.5401002522326885,1.580556215606488,1.5261468839967272,1.4814739348311672,1.5697675912526368,1.6329623179589876,1.5123442635674407,1.399913158729596,1.613130826987571,1.5922622794874144,1.8578484712258725,2.437372037587161,2.4771893438816686],[1.09018420379057,1.1251043816122148,1.423262208053933,0.8998934302926375,1.0788047450583216,0.9822784680341958,0.947206504029083,1.0178102041683774,0.9135282293273104,0.8266651066853462,0.8220406410540401,0.9055364286994708,0.8461655293141829,0.7622869635924767,0.8299560740371466,0.8345255494895493,0.7988891139006851,0.7943174944456356,0.7420786695848628,0.7648037480948084,0.7811391336048391,0.873697583163652,0.8872144909388868,1.035081082605,1.2410832483242813,0.8718215155891871,0.788639321486121,0.7674847276539312,0.8081048656160202,0.8585970995404674,0.8550680900455215,0.8998145459353823,0.8911820337237771,0.8763628137930172,0.8844642707547128,0.8193684094145223,0.9286644544189268,0.873778475582133,0.8571512919722958,0.9438987506877193,0.9115148771087507,0.8901912111258079,0.9204157518589596,1.1134409896820003,1.2670787651190454,1.7242282189709148,1.6279665390437228,1.0614470346024365,1.2807490687034295,1.7315238412419114,1.1068822871359925,1.8011287997382448,1.0377797621337377,1.2680508444879055,2.4136101708574103,1.6248302587721755,1.6176368547918698,1.1568468451247071,1.2261825556638826,2.0068236119263596,0.947022905961293,0.9557107044655613,0.9603673114710582,0.9208860244408342,0.8655421823633331,0.7939080229718696,0.8935439066394518,0.7933006561867416,0.9047664411888808,0.8472851583564343,0.9944048408155798,1.186963906140121,1.0056828470513905,1.0252655608135548,0.8365838204275081,1.2734034742805362,0.8190988216721045,0.8538362147944031,0.8582329731974055,0.8785944819354582,0.9298340428892006,1.0688552004869918,1.1923576595521115,1.0430437900571479,0.9749253610126496,0.9542886774175069,0.9362372071277858,1.047064875244659,0.8378620987012977,0.9284589595177418,0.8248823509128407,0.9271068019675716,0.8790821794662874,0.8641502947028845,0.8510858760518193,0.9086561302315741,0.9198733954928716,0.9105773146750129,0.961901981092143,1.1516038225213905,1.0420709843707319,1.1833185960022643,1.0910017362987974,1.2200316532071052,1.1535452279892169,1.1926694467911516,1.4065847571275085,1.3446319777771423,1.343720092144072,1.389222229460285,1.259378710643207,1.0998625890613385,0.9737218600050511,0.8822410569107747,0.8036434131154718,0.7549667318765491,0.8009295552581236,0.6889448311758996,0.7422518076884678,0.7787895059052932,0.7452851023914785,0.7664869597964544,0.7237132818468816,0.7278200426870055,0.7816964375631945,0.8847358730691209,1.0460559933116542,1.0911107353904552,1.15331580572792,1.170419230708224,1.2026034244874384,1.323441279011428,1.21054499038197,1.2072686115890865,1.0718015468789386,1.0901836874749067,1.022757347553919,0.9594001407940959,0.8125305351583738,0.8079231899349211,0.7817117966457617,0.8686533224575556,0.7724831308794128,0.7744334719209818,0.806435295402581,0.8147137715523645,0.8258052323105516,0.8667166412747296,0.9341595749912444,0.9621305109395059,1.1209210846497677,1.0670617038115051,1.2362371765657458,1.550268878618112,1.2441845593953162,1.1303634965246752,1.0105169228817195,1.1316115857548323,0.9723526128552846,1.0856826281135952,0.9795231638677501,0.9244951109804452,0.8982268624475471,0.9033023392869375,0.9296123237949477,0.9027522491513108,0.9973436810432585,1.0779757167813586,1.1358952162674283,1.0420744511931854,0.9914780047699919,0.9320062773318616,0.9612963184950881,1.0298189243267981,1.0131737970492225,1.0525614114780304,1.0246638810235391,1.0881128446754291,1.0451115558318995,1.1120982311276832,1.0395833869511724,1.110787602005945,1.145723890884957,1.165407975793045,1.1684558870088968,1.1653588706459896,1.1885580632574675,1.251911587582207,1.2412585102332805,1.5402024219619646,1.45443230543914,1.193639077568643,1.1965182872487858,1.1917754974654229,1.297294418556266,1.3264445504612432,1.2496508455120752,1.354322856730991,1.3664501984295643,1.4246314545114227,1.500695056247838,1.5073338354722536,1.442626133621081,1.47602678326456,1.5558594269000263,1.5298793278930065,1.4699361617564528,1.5631185570946067,1.6327390431174478,1.5526236344174478,1.603752477842425,1.685631253545018,1.6784894344782588,1.7130540664650036,1.6916802992298714,1.6397818742036703,1.7299513155605732,1.5879739009118286,1.608341391291023,1.6980349125015313,1.7410756315943132,2.0057145158351033,2.074000748655517,2.1371646541839717,1.6558030852312773,1.661257449014527,1.6851778872479461,1.6322842009494256,1.709574482927745,1.5825591271096067,1.6112146528083635,1.599009437558757,1.6940521943218583,1.571911349167963,1.5699784689012952,1.7994549358307719,1.5952336058786527,1.60910664854588,1.526793696730183,1.455331626760689,1.4904404514359564,1.5754434529102563,1.6035921258259511,1.8229973955626892,1.6091153452862257,1.6058349604842523,1.6736917659925443,1.6587055733930258,1.6436436469792626,1.6215869028640848,1.7017697268029945,1.7097927296345907,1.640998052593232,1.748829121104819,1.7922491279335586,1.8208260951121573,1.7339879539325909,1.779689498740693,1.7213892341854753,1.7281108657958648,1.6717949578753166,1.6693944367492053,1.6935110619341636,1.6453064912906052,1.615214888135274,1.610768233696897,1.5863593417674904,1.544080993190612,1.5881654234176106,1.606051332840444,1.549931341295668,1.6078028909523223,1.6072270761145402,1.775618713328814,1.5519262942266352,1.5159552957116311,1.5637074749082114,1.5333832138044454,1.8697872132652056,1.5836137247252904,1.5046202990496376,1.4560406207985936,1.575529836224337,1.6013137743473929,1.6264413165958993,1.5597354294478338,1.5407849791136452,1.3659549661448047,1.3318237616179822,1.2110511395474253,1.4959079936828292,1.4719979499270186,1.4808513154870426,1.3982299242820277,1.3572414157132384,1.4451445896316226,1.4478100849223334,1.2627203323718088,1.2023052929805371,1.3880379507192153,1.2622957632671037,1.3463472746202934,1.8342488175744485,1.9525009582787298],[0.9584588147699373,0.995425040791963,1.2484499502617548,0.908016563842238,1.044242539564414,0.9435952912430008,0.9381588624599548,0.9828889571171118,0.933782664502088,0.8710857016742942,0.8679345700139085,0.9147989254084126,0.8794848683979508,0.827496836389228,0.8658837835051063,0.8833428587698334,0.8399394183629781,0.8440403916466072,0.8314260938825088,0.8457791765755153,0.8840195769635678,0.9792606247034574,0.9545309907336701,1.1059030188475634,1.2768185828818719,0.9367913369530919,0.8662070574466988,0.8440700175492319,0.8746830896749712,0.8879056402907067,0.8917601813948,0.9131493482627729,0.8992972624304608,0.9104757918472591,0.9157281938659205,0.8739641630645911,0.9479344364586844,0.9257992731713235,0.8940471331093414,0.9522511916819298,0.9778687931117971,0.9610289931367334,0.9892576440947425,1.188570242311095,1.365358707447351,1.7937017076708521,1.7205086360804958,1.1544422066265023,1.3226273978320127,1.739611860674653,1.1403971302745768,1.7902295170615339,1.068459436484006,1.2976609300245194,2.4090099997021333,1.6656333273588073,1.6573802783947995,1.1731680523790824,1.2577703134952871,2.1084395230563127,1.051537587703044,1.0202104550047277,1.0246370453819231,0.9985853894882865,0.98482102389577,0.8617126141632759,0.9973720294763645,0.8724746285272194,0.9713046771246862,0.9156785667509243,0.9998195035448211,1.1540631400017456,1.014628726260473,1.101951105339218,0.8796020237266401,1.2487555815523426,0.8847828888080367,0.9125412750767662,0.9113177272476002,0.9254904948431216,0.9517836230215011,1.0609618570261932,1.2064953538315053,1.0378348755872655,0.9748374747984122,0.9570352455728709,0.9636278618757629,1.0499366660834892,0.8903680026755767,0.9684092313415422,0.8753641015572912,0.9400567691392732,0.9168690128318536,0.880393856697144,0.877468961566332,0.9154844834373164,0.9473817674434623,0.9149051324843271,0.9603082274248143,1.1165720056136639,1.0042871482145388,1.1260168231547978,1.0508455076768524,1.1423842425729995,1.0871680852094088,1.11841851625571,1.303831948734754,1.221613289240785,1.218739943309226,1.28330317087814,1.1780206308743109,1.069702960494358,0.9550914154143776,0.9006997497913543,0.8552193991511666,0.831517110246996,0.8982407658742395,0.7982596100143087,0.8716297585349277,0.8644015208120157,0.8440460026194333,0.8756922024490236,0.8472374090456437,0.817246446396323,0.8479460643909416,0.9109571696014886,1.017762062372838,1.0563394857807626,1.0733109293860215,1.0825253933379726,1.0981191054583566,1.1842244919024953,1.094746502558911,1.1007058821133768,1.0067943995889546,1.0598907358515472,0.9740057521917677,0.956541656881484,0.866463955368364,0.8578647972918487,0.8731869149586466,0.9534711547517657,0.861511002716741,0.847679477651877,0.8702631289020388,0.8573326549178429,0.8644427401366299,0.8827848453813789,0.9297597281346217,0.9594222352206417,1.0558759666452986,1.0202265313249161,1.1497171625076608,1.478694382345704,1.2102724100297244,1.0739019213061773,0.9831088982260736,1.0764749611953242,0.9586796814231051,1.043662057931992,0.9556481977576682,0.9321373866383019,0.9182877633318265,0.917974886677542,0.9153424748360607,0.9030385404012905,0.95557745564627,1.0429223222966584,1.0903887356529172,0.997946296715599,0.9502972381284439,0.9284706238126462,0.942354500817476,1.0022413372642525,0.9898572130745057,1.0018063582793904,0.9847227354168957,1.038020789423476,1.0204010576282387,1.06577029137507,1.0045554416724956,1.0526252583375972,1.066781842622743,1.0834425140621375,1.0828964602348936,1.09480788723116,1.144867911274969,1.2288089955966732,1.2269419872968834,1.5163137542325187,1.3910877617414572,1.1236673294546842,1.134164124515246,1.114529532593363,1.2163979049672442,1.2259748339534722,1.1526267005262631,1.2273259214562504,1.2296001500816482,1.2851055873545736,1.326118941777115,1.326717552588191,1.290232281187324,1.303057855722511,1.3593766493387263,1.3554660194085855,1.3107083641364998,1.3672872129879932,1.4196502922965304,1.380628062518646,1.4118675562770937,1.455600089171816,1.4803525836145002,1.5486272305479425,1.4784950796007412,1.4053882811743574,1.526630690423593,1.3688536254899162,1.3848140311849073,1.4481817124590102,1.5280716133265524,1.7907013242735494,1.819286128184956,1.8697441967526438,1.406444657192502,1.4072398546436242,1.4515494423960345,1.4175775387951748,1.4649091086782429,1.357527542493432,1.437834281206187,1.3886995921864884,1.4896767316959567,1.396753310674001,1.3888130559591463,1.6311708361307964,1.408407276155661,1.4522364228132802,1.351505245297676,1.3063664067814234,1.3262925491675281,1.3702772817142226,1.4022033790197552,1.6085546311645476,1.4082474595572667,1.413809545369058,1.4494013357178142,1.437501821924573,1.453077758287321,1.4037836099953602,1.4687111001427964,1.4894791394874471,1.4332472116369661,1.502520514560959,1.5481646986443565,1.6155903305583108,1.4795614832973654,1.5135504582491033,1.4689918193027354,1.4722743461703545,1.4311174970570801,1.4208531939529512,1.4414495410656811,1.4051746845291795,1.3805149256818758,1.3656280870389519,1.3535079284710965,1.334707798105442,1.3584782355047393,1.384367346793528,1.3410407798901567,1.416236141572382,1.3915149940077525,1.6031442039435375,1.3875098205929657,1.3549330123104042,1.4291142826628385,1.4200734518426776,1.6637547005907016,1.4107107273095352,1.3245778776381767,1.3126819803820797,1.4245590952887643,1.4781527083570967,1.522839704203284,1.4450950246370908,1.3885743592375583,1.2531798735093407,1.2153637242810558,1.125398479044454,1.3829184968677177,1.3387434702157797,1.306725231820726,1.2876895689497418,1.243783988429885,1.2849910866385856,1.2868412386184087,1.165688433355188,1.0983433310835744,1.2167124770702546,1.0904688894992225,1.2443224777230946,1.5555249977053562,1.73285927930851],[0.7545813591147799,0.6993126918636766,1.0077366844400042,0.6217416185811472,0.8106013351357233,0.6105616019330118,0.5753856440854557,0.6506592888582482,0.5677472935555671,0.4963226330623872,0.5118262745102633,0.5957434763254805,0.5118705962383128,0.4893028641068719,0.5350721153526544,0.5236508131120954,0.5290530678323978,0.5412562618057739,0.5480000928098399,0.5388374235540364,0.5898612702833786,0.6706457206937126,0.8065716018472462,0.987788127138007,1.206156524204753,0.7089271223322594,0.5678730469537199,0.5017498704791732,0.5437345593573305,0.5396790057710628,0.5623541456577711,0.5773505634788149,0.5838816184843619,0.5865507485971089,0.5752406472444154,0.5270926654960687,0.620354994182997,0.6027945650268568,0.5482653622317675,0.6595028823966951,0.7306038705741416,0.665665937135785,0.719049880880569,0.9550329665438272,1.1921498696878983,1.692431011319287,1.661801032842699,0.9282209843304229,1.1024350309733522,1.6139576434192353,0.9628346184199753,1.6103217767693372,0.8440039369703684,1.0980697594044915,2.289740274709516,1.4750194193640305,1.45533999037362,0.8914352560896347,0.9912600604974408,1.9931261054517415,0.8148607058548261,0.7793873916293632,0.762702988957062,0.7772444389737416,0.687762180308404,0.6027880847863303,0.7499290887406153,0.5834418105423572,0.7648334835751348,0.6788820427221497,0.8611881484509721,0.9992591351081783,0.8076875364958918,0.9075945983091743,0.6359834166151639,1.0940508681354593,0.5849034795907747,0.5804781143730522,0.5826104951719363,0.6002940831300171,0.6082295078907733,0.8025042776943928,0.9805834417875309,0.7641660565714699,0.7019619303523728,0.6457980955881338,0.6297401539579686,0.7415228007804082,0.5496456285913273,0.6395236033038475,0.5386209518395304,0.7198801178395571,0.6613649176151728,0.5637196004118223,0.5596142944240909,0.6263047424502817,0.6338625692427545,0.5920095887435256,0.6349979182886906,0.8249965014384616,0.6726822969533701,0.8210712439699925,0.748459804186979,0.9139800648674348,0.8781780307131173,0.9208495873860376,1.1700507237745623,1.0742986512318249,1.0721585103503868,1.1016740234184021,0.9697799652134756,0.7874299678531368,0.6192764724487526,0.5908167858075629,0.5044483250587521,0.49201383786774255,0.5896043360713851,0.5201806203676972,0.6336172183468328,0.5538859614119416,0.5695985951069071,0.5751107381647345,0.535014525329804,0.4651567065583039,0.4722551298989641,0.6056618970221662,0.744718432138595,0.8105299853458448,0.8774370188236894,0.8861089591363026,0.9804973222526645,1.0889239281214467,0.9677010368178911,0.9426754259268046,0.8211652276849569,0.8492476046293255,0.811431097881928,0.7023911985635408,0.5629275723962976,0.5529440885587987,0.6127348471669507,0.7107316741164923,0.6021195344540615,0.5316564256372801,0.5587848244002215,0.5159151591963067,0.5273524396714369,0.5459920831572267,0.6067215596890616,0.6313263913964144,0.7670786713818951,0.7138227409677623,0.9122990678705043,1.3416283041609454,0.9902747459485827,0.7735428371917994,0.6577467994588179,0.7711321995491279,0.6208359907600302,0.766318360518017,0.653745301049133,0.6023731993526683,0.6199372837523572,0.622269078538834,0.667910351011235,0.7030860326252117,0.770685279841204,0.9147247521538929,0.94765483044527,0.8458602629847932,0.7675542169615068,0.6876557393489101,0.7032739517984085,0.7536193838425497,0.7079310200344755,0.719672671696272,0.6536989749517059,0.7716489602347848,0.7315878893470309,0.8041073194007691,0.7605069883044857,0.8162297670067298,0.8605545069698036,0.9085492142887897,0.8898130854554175,0.90194765304003,0.9740025056486258,1.0499651519417073,1.1324994056688524,1.3972393916647066,1.2589507833765525,0.9603247902059517,0.9972717878629646,0.9672064630593943,1.1371423968734107,1.1906814355812043,1.1079564384520466,1.2018890806887403,1.2291738530031608,1.2461132290264583,1.3222258485602165,1.2877497405664662,1.224807550206428,1.3011099198294187,1.3655470320497638,1.298956782171932,1.2857317346707926,1.3862400961126267,1.406740087846284,1.3343525129147216,1.423371079161126,1.4812604138839658,1.4334660929066438,1.5551640082020248,1.5412250220153132,1.4521191466910124,1.6530488077411611,1.5195334852212745,1.503400975775817,1.5715165151651538,1.6932814510281147,1.8895023161719773,1.9156264020651976,1.8241767021691644,1.4809267577850989,1.4585985883777706,1.4747351809462348,1.461301408567188,1.5382827297663755,1.390476596621636,1.428430958395311,1.4546409755156593,1.537606466314238,1.4258254840788316,1.4306875138292927,1.738196828820815,1.493096725861864,1.4958592232464778,1.393498014348562,1.3000333863731857,1.3256132383920332,1.3474696673005573,1.3624350966548027,1.5797370017415722,1.3479894461486182,1.3493429904003402,1.4349645075785318,1.3696200546056274,1.3759979355039689,1.3552207583970795,1.4097805811130606,1.411070672691762,1.3652213665066955,1.4760739100271716,1.493955071771106,1.5464575542863204,1.4697655103762663,1.5348830158604085,1.5102819317225729,1.5081716869699684,1.4450035236925949,1.4699011668369515,1.518569435671124,1.4554937504816299,1.4354585019189399,1.46758312588352,1.45867399046682,1.4090110868397707,1.4730171603234208,1.5266257158090308,1.4479883968403107,1.519340203515157,1.5587941910104797,1.7747558633006328,1.545736978241358,1.473959935297823,1.6236992532377954,1.588818801752742,1.7546846453312335,1.5167951346597046,1.3819043802588016,1.2644264308339288,1.391257448509978,1.482676219580403,1.6108980410240579,1.476897810051474,1.4265030878366192,1.200581168452202,1.1558020457915825,0.9673721568187095,1.281939953395135,1.2251456377179297,1.2013620295646628,1.1326951978100008,1.0715445593546553,1.152653800085867,1.1237478829806953,0.9629703736578732,0.8563846365309187,1.029869113053584,0.8894005960281227,1.0500216888267573,1.3975411400939473,1.6138567102785792],[0.9226018235129263,0.8478211131768987,1.133552172248791,0.7821374095166516,1.0034391439905066,0.7569780194779314,0.6510420016284325,0.7530693803726515,0.5934594069897224,0.4983830721675364,0.4799356504040853,0.6441119513389418,0.5330963356512505,0.44664321465893936,0.48423167286683877,0.50735261902293,0.5821160555171924,0.554517528611641,0.5772631487757666,0.5470737165867734,0.5911592146804282,0.6834532831745823,0.8946073165051128,1.0524195701752428,1.2710665304068118,0.7192515981800901,0.5877234908795289,0.5153598892557711,0.5800305059679708,0.58117866019166,0.5261613695146387,0.6216802989788192,0.6253629960048401,0.6112284174599896,0.6151742711018691,0.5694056365905285,0.6886645566571158,0.6451184546541585,0.6314383120124658,0.7900478014504914,0.8076556510681088,0.6943498595467962,0.7659744426942131,0.9992878756509546,1.1946676037901067,1.667146827100214,1.6771044135893234,0.9421950924624545,1.0593545732445822,1.5982119506911248,0.9871826340954881,1.4916827036582512,0.9669967782389615,1.1811594286944556,2.373106405741566,1.5890842493802566,1.5636572596193354,0.9253959786086057,1.0603837492096786,2.162550016445062,0.9057944663661804,0.8457153112406846,0.7821028236189207,0.7721991735325564,0.7440649370205084,0.6536200962855906,0.7312047183001797,0.5609149349730242,0.7152611782704329,0.6525924088890352,0.8494640221298905,1.0030145613473562,0.771850294500698,0.8623034169546342,0.6035933336626738,1.03349387976678,0.5878581984235586,0.552236658308704,0.5667304517619256,0.6522459249739264,0.718010690282811,0.9274992135483535,1.0566155838433977,0.9323674584341701,0.8690377660811952,0.7749251778974511,0.6834967457089293,0.7947985828606787,0.5644619184616849,0.6507586542844379,0.5365355064584159,0.6814850413712715,0.6061209671389117,0.5305002463500866,0.5263085536978097,0.5600607879564575,0.5814894124381295,0.6029139078280489,0.6659643190356925,0.8541658396719047,0.7543800948384292,0.9136300005345205,0.8603652495765746,1.0815233160055342,1.1136916105401706,1.1344907610992996,1.3785605000998244,1.3119985777215615,1.3131168169008514,1.2899230085189977,1.1655420966138827,0.9356366905739919,0.7432675767836472,0.710370898307472,0.538489286480444,0.5098287477965836,0.5491693942854984,0.5538756837075306,0.6709991781896286,0.5179157438924598,0.536765962412835,0.49928519364584495,0.5108240371801241,0.4518129891696398,0.4986890991349809,0.6950609464853948,0.895818753944707,0.9723330685826589,1.0950054956113762,1.1148777681874003,1.2413127597514915,1.3672713472423008,1.2104091279714202,1.1810449100446334,1.0285359154247877,0.9531145843700111,0.9872140260561446,0.8174767716175128,0.6390445097599388,0.6297130795296777,0.6473505523620955,0.7700473111979604,0.6530288540305579,0.5850007051102523,0.6122663891530181,0.5895377464157822,0.5941769939354012,0.6596475004282972,0.7381415719670226,0.7353209770820868,0.9192494909102485,0.8279984129680024,1.0278983243088184,1.4105061618360668,1.0355967689878682,0.8644483438204589,0.7489472515614577,0.8927604866111418,0.7152785780836151,0.9165444159507199,0.7978548457103195,0.7009180133113558,0.7110405034735778,0.7422656338118575,0.7889159252469725,0.7979812008739698,0.9169496191898797,1.0355012214550794,1.0496506257516351,0.9577292890357705,0.9186867415206402,0.8092485459255465,0.8447941026729442,0.9238736484187924,0.87310203451484,0.8990419733936349,0.7676320691334654,0.9277260908693532,0.8911117880498973,0.9696795804769696,0.9480557140497351,1.0114383755257825,1.0625203251013307,1.1295729688057035,1.0740802074542084,1.051939538281492,1.10915890289092,1.1200296851000207,1.255293077582574,1.5110497951111905,1.3893909811868987,1.0773027603544127,1.1492507019675122,1.1182856127693563,1.3559132218385603,1.465171059359648,1.3772639512681024,1.506885035717189,1.5609392152278025,1.5564111535770517,1.6520179125689018,1.6020997524063114,1.5189849250071465,1.6303621734699427,1.6997938498754765,1.5951661106453763,1.5928800495376658,1.7153568118367817,1.7012717688561418,1.61155929422238,1.7293753859416723,1.7653541919677154,1.660634467705752,1.8169641109815455,1.8021833573036659,1.7417886590771265,1.9532907539437787,1.875499417603936,1.8600722796714886,1.9083950896310542,2.0588886620601308,2.150098695821841,2.1840006749787855,2.0032063721604,1.807083978819719,1.7817245410953404,1.7918152708041677,1.7803368427048143,1.8518843250318076,1.7152316291333476,1.7055117448996968,1.8059783905152822,1.8562409934855653,1.7282055303228352,1.7513061574285769,2.054711742995918,1.8016799184773566,1.7782006251237872,1.7164640418288382,1.6308967570139525,1.6668264966495405,1.664998808973043,1.664533923334044,1.8524928240750353,1.6340766513302027,1.6312387405940298,1.7498479353575984,1.6342197934977716,1.6425508668504967,1.6382313734922824,1.653075860442444,1.6227292267869526,1.6049343238567766,1.7309316624407618,1.7124447861739176,1.7308884869882653,1.724763439048124,1.8032854886630387,1.8109691700960984,1.821402164179398,1.7582203969610088,1.8067424089751214,1.86617320839525,1.79077485073677,1.7815945939920295,1.8284071681062122,1.8208023668400652,1.7578401078300925,1.8440178107884648,1.899241583991846,1.7942197184413735,1.8459271562722794,1.885593216050615,2.0790219401144174,1.8775299701728891,1.7968891910335412,1.9383571312597943,1.883437934639653,2.016558393347247,1.835603170396068,1.7133032139279103,1.5186450053890561,1.603041205530206,1.7127860185766663,1.8747489753809738,1.7258533196172352,1.7271639208849683,1.4681182352732318,1.4473622613758161,1.2043217982978165,1.5198210577282294,1.4781789162715533,1.4680334265791695,1.3645034183889657,1.2869244245629425,1.3890228461651772,1.3276279338765664,1.1517980591768486,1.0255075448458142,1.2007114983239602,1.0766774137956876,1.0861754050870787,1.3446418483940488,1.5696311504635883],[0.7621339511399471,0.6340475183467787,0.7919162638305047,0.6828533998812936,0.8342388903302717,0.6823402791285845,0.583766405431072,0.6364087760703341,0.5978526706824567,0.5976569791015851,0.6012188216734302,0.6717283566976354,0.6062908761693455,0.6335714212733903,0.6496779620687161,0.6468304664871741,0.695431936857855,0.6938444358247633,0.7346457173693446,0.6683646094247192,0.7127584405195118,0.7251743428499053,0.9697536168078336,1.1191067405090802,1.3431402115417583,0.8210311835959522,0.6631123541826783,0.6165544549834087,0.6533289762995793,0.6105168028125401,0.6388713385760051,0.6405803756529206,0.659700451800123,0.6492881509289508,0.6222617826107506,0.616753533300168,0.6557108252929564,0.6675114855341739,0.6253990565185062,0.725365952801018,0.8042812136532381,0.7106906162443657,0.7613868714885701,0.9666603071889246,1.1701690065882444,1.68000591196021,1.6729311875624724,0.9515451364541351,1.1081131282300805,1.632562257017248,1.0098282369764646,1.5396723251980915,0.928540875706049,1.145929148537929,2.3208553235393317,1.5348091100408445,1.5267784300992893,0.885537926282649,1.025740503993279,2.1378268898044546,0.9311138908461084,0.873746016046928,0.815047698395976,0.8168068838457984,0.8009913108774406,0.72263646673094,0.843803806488167,0.7080455148461152,0.8920948729739289,0.7988051241094832,1.0036280956525856,1.1667537165193793,0.9003644860660459,0.9788416022148655,0.758532184908652,1.120706870637557,0.6977369688806987,0.6448266164718192,0.6198467357810432,0.6603840141935905,0.6705701316622856,0.8510475914559749,0.9540011792394504,0.8169082176537978,0.7433566666517453,0.6768889532760942,0.652420099367405,0.7470577306665227,0.5982614541099721,0.6818493439416038,0.6155463280360319,0.798366520832529,0.7240605576576947,0.6539129501466221,0.6532124908674338,0.6917993550877923,0.7249176004698994,0.6431628607203654,0.6509599490543853,0.73766663696406,0.6558059835370922,0.7500325682169434,0.7225082318336562,0.8791513033164222,0.9059798569871639,0.9215121440771653,1.1488765863518937,1.0525722902379087,1.0492255936750239,1.0752162553178444,0.9514865865027062,0.7727718206939428,0.629798972311984,0.6632906810988412,0.6257575528809036,0.6179079209533977,0.6919969296778417,0.7011201113051716,0.8204681263692275,0.6782865072350387,0.7326921864217645,0.6664814114574293,0.680366331829106,0.6188033228311011,0.5801825820694925,0.654823099797176,0.7514349801104393,0.7958869211433865,0.8740421668926678,0.8832562703801011,0.9999397493152133,1.096268521941489,0.9715805228422976,0.9301027131718936,0.8148650171069008,0.7988562415118248,0.8309456069413443,0.7076059102064985,0.6265090462292496,0.61588937507985,0.6831602123154544,0.7924799171051184,0.7282745673112729,0.633204215125825,0.6636944725053312,0.5955539627782116,0.5975803511175426,0.6481988304908192,0.6419801074863408,0.6531338072480166,0.7572339160777452,0.6901550885411001,0.8568690344216268,1.2578307093368821,0.9097914094994853,0.7179159184933702,0.6521796942687789,0.7286279155103942,0.6234980486550074,0.7539602191460945,0.6667607431842723,0.627441856621271,0.6540922777137804,0.6622208759184273,0.6827178462150859,0.7355082137636411,0.7971756387009951,0.9438638901605098,0.9423041347626908,0.8698595443635808,0.7838586067873959,0.6966243378412453,0.7007129405581227,0.7554296975775934,0.7201721365611008,0.7222047329610449,0.6626456048388333,0.78212567968168,0.7442507055748427,0.780556228556519,0.762106176678149,0.7949962628577507,0.8308844233077679,0.9101204828767071,0.8750389637353779,0.9079018969740222,1.0206830617916218,1.0602287460113418,1.24173104331534,1.4475444049599013,1.2900857411781246,0.9645489179771221,1.0184947024543656,0.9641270327961817,1.1555894162459937,1.2153579307656197,1.1442753971047632,1.2395434189240442,1.291100617360031,1.2882989586817688,1.3446848442135209,1.2862747494015396,1.236678301835559,1.318311253026637,1.3408297185544837,1.262418640140933,1.2880398652139136,1.3527190089322536,1.3241520974111984,1.2653459798909206,1.3605871996967103,1.3783210854614767,1.3131638308876612,1.4895158321994484,1.4393181189431443,1.3935720119993293,1.562806013632338,1.5049816176979716,1.48084045651026,1.4984080195314506,1.6348141481950185,1.8500668462626273,1.7708853839481329,1.7827001335525006,1.4537115521419512,1.4281215192079095,1.463335497189197,1.4723391821690583,1.5366734431043472,1.4154461536622531,1.4330625268761288,1.452971960633083,1.5268676972029396,1.4315522765343398,1.4787088574515268,1.7794593984323073,1.5347257387620212,1.55711641751696,1.4353893821683708,1.3388694039821247,1.3589830086276893,1.3584097414818406,1.3472267342387259,1.516798899203403,1.3346970378031118,1.354410840074048,1.400929766916605,1.2979365007840484,1.3341750263145578,1.2855403369372067,1.2953018392532119,1.2992807009947858,1.267149248269295,1.353817094238937,1.339802704411434,1.41148949558275,1.3468168853572893,1.3918404042618013,1.3972273943897386,1.4006393958623156,1.3632469844504012,1.4099445779188846,1.4316412127164617,1.3944552847161957,1.408828875639348,1.4264811159995965,1.4197290140080865,1.4060266030698498,1.464212537359966,1.5142159368695036,1.4464765698196653,1.552289834039953,1.547789929349235,1.7509627811842634,1.5660393885426147,1.5098109741957326,1.6451087915839793,1.662705504410633,1.6520245326517216,1.5331571866163074,1.3907184851692829,1.2249176983241297,1.343788029705837,1.5006094733970656,1.6583460858830965,1.4997350898962731,1.4637101816434066,1.2213910085131017,1.1951474465450764,0.9771555514852113,1.260509640955295,1.206252753563977,1.1644920321310666,1.1083770212453885,1.0320655261166012,1.0888247538588616,1.0202676445718386,0.9258364766939654,0.7791570466020863,0.8905751787694882,0.7673407529390913,0.9632620608686663,1.0742338083642637,1.4441415899806878],[0.7630719837975053,0.6790326734723251,0.7501696902249332,0.7024418421853159,0.8216011105195601,0.667338597727779,0.5260754624492179,0.5814909896736797,0.49984691674661424,0.41297395647666735,0.397103636092342,0.5315386640374721,0.44552637334268697,0.37415625102023314,0.40798816854510395,0.43656929772142783,0.4974221731095072,0.4737987021451548,0.5238550274932647,0.5040770263396963,0.5735175411497307,0.6559313804474275,0.9174815081580345,1.0677494078017653,1.3113870249906872,0.7388146510234412,0.5771334876667121,0.4526442765733916,0.4808598146949321,0.45096748956032107,0.4410631606069448,0.5158626882310106,0.5205460903580909,0.5068292257782144,0.4898972022586232,0.4590411705860287,0.5507383139068315,0.5877719068194084,0.5281298171026019,0.6804962040842158,0.7832874201229688,0.6712608409728031,0.7380686373583146,1.0106281148960394,1.23590356338139,1.7170112248743408,1.7761096079178138,0.9787595935737579,1.0680766670859374,1.6332866711444716,1.0454417110407355,1.5008676947652437,0.9449727537125369,1.2231839608155384,2.362050900242305,1.5218657398191089,1.468367612410499,0.9644927796268589,1.036353080420431,2.1003406477190527,0.8789988856266321,0.7644045465028227,0.718109905790493,0.7471940601672298,0.7385752893045571,0.6083265106044211,0.7130708318962989,0.5166917780124738,0.6789360744570149,0.5891545636484221,0.7773856728942645,0.9771387518746325,0.710056394109582,0.8222361533966879,0.5606328676957661,1.04014343155887,0.5408493336212924,0.4958339050677625,0.5074019703100816,0.564431233392511,0.5652895612440753,0.7802798142381623,0.9125723171570028,0.770812184211568,0.686741748336193,0.6145165857467395,0.5788575952943373,0.6703755809023648,0.4809268528478172,0.551404527252608,0.4443415291208087,0.6507643038042608,0.5674697360060579,0.44788426959538635,0.4461950823892265,0.47706042968439993,0.4889245828837643,0.5079314899993743,0.5547681388433134,0.7156234123851476,0.5909391910725643,0.7199743669631565,0.6619316220948047,0.8279655654110557,0.8583092762018336,0.878298874960088,1.0792127082202563,1.009227676771178,1.007923129009124,1.0397215888427864,0.91806737375238,0.7433838814048521,0.5770310859357317,0.5785918099536451,0.4489192570388122,0.4440366565124615,0.5101426863326867,0.49160471368044495,0.6294597644094749,0.4649452598073703,0.4842815904263758,0.446579359247774,0.45230574915172,0.3832799410117421,0.4004081136895449,0.5798934572046508,0.7312254482647415,0.7736831936558646,0.8570797322790112,0.856956025959269,0.9810388928538962,1.0564845038705788,0.9606651438620222,0.9043908102962521,0.8163486743498038,0.8084708871465222,0.8322466823918827,0.6785610712941528,0.5334165437827035,0.5224000190489156,0.5861113669570474,0.7596430949855727,0.5599537419606404,0.4900919710624206,0.5526078906394584,0.48351551056126796,0.4925713537750557,0.5116883844213267,0.5708625819861124,0.572487384835037,0.7236106055905428,0.6482234893597121,0.8177869473858869,1.2573178812902843,0.906882736286451,0.6843481300622687,0.5994700196308487,0.6915698659178918,0.5701775181210337,0.6865700915953238,0.6127668534684259,0.55664004200077,0.5804878191179479,0.5886714283809261,0.6341808718766185,0.7074791326352281,0.8053374568712476,0.9865914892286443,0.9783954825217974,0.8775499502067002,0.7818628472199617,0.6598716684345205,0.6716922632503766,0.7036651027153661,0.6590167207838826,0.6539654944444315,0.6094667582141056,0.7017599949897338,0.6869136288868974,0.744905364496277,0.7011710994376829,0.7427368866068661,0.7935610088518862,0.882575468291284,0.8547511478441994,0.8706376300459335,0.9802187588975683,1.1189894146210289,1.222747316089255,1.4690901537013625,1.32689222473385,0.9788782045686589,1.065935895597574,1.0017991822570118,1.1672424608930088,1.236847391417818,1.1681591991099705,1.2197089113173536,1.2609329683563377,1.2507826554949715,1.2685619976733566,1.2103488102652398,1.1789223770751092,1.2355379383214953,1.239929675909392,1.1792598111719759,1.2047084745056869,1.2431706252631882,1.2191576076454713,1.1864430402518211,1.2561335981372108,1.2720201140297278,1.2456002373369484,1.4239688808095885,1.3416826702326359,1.265171969899415,1.4486445685979936,1.3721577890249264,1.3494283947999584,1.357250183938093,1.5348874347427337,1.7069697944891262,1.6607696669690275,1.6492959497184028,1.339122396159569,1.3057506467425952,1.3472980155672798,1.392488987363984,1.4245739488557139,1.3267166127519252,1.38701865832713,1.4183209194700883,1.4815449831948864,1.4041252413553293,1.4757963040665918,1.779839501142217,1.504035247389504,1.5371410588744217,1.387167485648913,1.2844886805075404,1.3093690243747969,1.2765502704642813,1.268738521019676,1.4165495150565566,1.2730135453333127,1.2859287499393262,1.3054307120999005,1.2186552471603953,1.2549702160543221,1.1920735772467417,1.209262332211991,1.2416116672186628,1.1964306702945964,1.2505513626690747,1.2687720711391195,1.3619368849914906,1.2530584379611496,1.2806708177856378,1.2710968555555133,1.270621452768413,1.245462708967784,1.2915785626874905,1.3015451211024838,1.2746095323958426,1.3012781905023747,1.3099470844841754,1.304765328753241,1.303567942691627,1.3581529912227863,1.4495521214378442,1.3419869899665402,1.472962174841103,1.470799686139265,1.6318156747020953,1.4808179650179039,1.4084531526334367,1.6379883624220994,1.6137472945780444,1.509589960794798,1.3731202849075217,1.2606744672129586,1.133822927331723,1.1983983388592006,1.3824529179999134,1.5828955215200744,1.4280836717196297,1.3899376595366926,1.1797531082907868,1.1684304877028369,0.9473195460323787,1.1953944381005133,1.1557832872660898,1.1049726668793074,1.080999828890348,1.0024089764297888,1.0499688418228468,0.9914588526791034,0.942080089062458,0.7908950924758282,0.8767171197934465,0.7650677218489204,0.9758352058565967,1.051562663186175,1.4865690652787775],[0.7241259391538256,0.6247434978357295,0.6222465992209113,0.660534536908467,0.8068474068955124,0.6658164987927324,0.5237537686908611,0.5600805316674898,0.5130416573474412,0.44987653410421174,0.4317410974214827,0.5456726016903112,0.4825529017102053,0.40176344821421556,0.4358536931517632,0.4742750620627235,0.5299123157424734,0.5061671802002642,0.5593581053291878,0.5332873295581693,0.5915782924974546,0.6908662314083595,0.9707549708791977,1.1185384290382123,1.3396757846187015,0.7562153231370898,0.6063499710092297,0.5014495584854494,0.5286374749842996,0.4849036958077254,0.4620467509636158,0.5300632761692372,0.5334420341250785,0.5324204933536963,0.5156885696944308,0.4790494811849331,0.5819904390086361,0.6300525695433,0.5756921408447823,0.7385208829386987,0.8255759353088203,0.7101333777319853,0.7808820750557454,1.0756147590271001,1.2641320037455075,1.722331371886263,1.794114954446844,1.0213409908931816,1.0902752786464698,1.6510976729135693,1.089907381844336,1.4354527938955415,1.025483002466895,1.3143687557976715,2.431862727241624,1.5978108929277226,1.5203999043090717,1.0388469448895075,1.1100302107710975,2.183697512569914,0.9246006050138197,0.7979520309244054,0.7609900193876381,0.7628237338154109,0.7855554659339838,0.637268806790388,0.7026824782139628,0.5296010081073509,0.6669329853255339,0.609040329662997,0.7952809609400272,1.0299160515004764,0.7326235957458159,0.822137191448768,0.5654883632556201,1.038736297579555,0.5757305451465813,0.5267892419489775,0.5464606297918485,0.5887279256944639,0.6111454395238345,0.8187555097881081,0.9101455286810779,0.8202768043502481,0.7377027188383577,0.6592603725650656,0.624854316676946,0.6939853309327775,0.5098486386768888,0.580667320354658,0.47825897320191185,0.6562015927081358,0.5648671173003668,0.4696658784823319,0.4642026862326867,0.4887619617127698,0.5025517568815997,0.5091833084781165,0.545401479634497,0.6717768093215697,0.5828530874134311,0.6905402460110469,0.6607624191618028,0.8081811110716417,0.8498819142135675,0.8456031790619951,1.0208426355315696,0.9901371670309513,0.9681322271525978,0.9816863621362291,0.8875633118526739,0.7470158371480294,0.5824483043405739,0.5957487435094622,0.4857685136450034,0.4862211395000654,0.5573003513506795,0.5256985104078483,0.6417460743354989,0.496542496307632,0.49074795589830555,0.4744932828444986,0.49684044027163127,0.41175405926494557,0.4209766720060303,0.5915924396053752,0.7236392649103771,0.7713349728737275,0.8507868582208336,0.8540771474215537,0.9649577904166492,1.0238162918931955,0.9479466770435043,0.8894878611158349,0.8281829210891595,0.8214031819182999,0.8545149519226943,0.7159891375116001,0.5925342000111531,0.5779213393424294,0.6418706068239264,0.8063917759158652,0.591523943169766,0.5387100265817244,0.5752278989799542,0.5291554394852158,0.5308970927627337,0.5460668407876406,0.5913566423367328,0.5889009726121553,0.7087137541056225,0.6258097027137374,0.794247965237013,1.1939482066314258,0.8718919989734949,0.6624571089442725,0.5943571940734084,0.6716944438944417,0.5816559946526814,0.6903272790396622,0.6322573456632323,0.5894266109167563,0.6264845130354315,0.6388247898508251,0.6739847660114224,0.7095394737873073,0.8352614978353917,1.0101094162386604,0.9849279241077797,0.8942958369197483,0.8050266622408214,0.6958587028192447,0.7034432574613677,0.7333710855889809,0.6920197208124258,0.6616447865428168,0.6208153846017519,0.6835773247996694,0.719310824570684,0.7608689938595642,0.7353923393752054,0.738765260792765,0.7904116066459832,0.8832195162476681,0.8734655902204065,0.8913914867556663,1.016225599669578,1.1709242000920252,1.2668685913627586,1.494622032712892,1.3566751095106881,1.0098016943155133,1.0900044673092306,1.0131062312449208,1.184046955083241,1.2453878756264305,1.1621895711665027,1.1889358496611946,1.2025765996701803,1.1891038194732517,1.1776419326013414,1.1172555535801196,1.0984244763458704,1.1295279172536172,1.1146630184372004,1.0610509067083727,1.0822271159457293,1.0995994777975127,1.076210361383522,1.0507644733611394,1.106769398130385,1.11757898590666,1.1027034221293734,1.2796899384261544,1.2033600038508077,1.1229332476845695,1.283607688104486,1.2010786832378824,1.1820279697719378,1.1907798069829607,1.3974497227162526,1.5562043007031185,1.5260663226938112,1.4893660122542265,1.1874103647514407,1.1499149793374601,1.2217606691357985,1.2926237714979822,1.2838897973163526,1.2134011960902695,1.3137413027851141,1.3369635698176252,1.378173507521255,1.3213292707457076,1.4088387291261855,1.6792437723869629,1.4149217727975105,1.481629712110377,1.3075603250923262,1.2278185933754056,1.242956530711831,1.1846465264411374,1.1954619130932522,1.2945242183275751,1.1821915737621755,1.1873264449069618,1.196074859453476,1.1167161282460643,1.1426073567869908,1.0698228424544718,1.0692931490955917,1.0936476795762942,1.0603702234136483,1.0941570213981953,1.1091987174099252,1.2258393919232387,1.1032790836615514,1.1266042061585773,1.1092157870560833,1.1110554566371025,1.1078285472948475,1.1543732123576964,1.1406166996540477,1.1194377914353375,1.1709461040729512,1.170108420486767,1.1644204071394386,1.177122568246858,1.227555224362715,1.317305951073554,1.2081771139173667,1.3512829092710503,1.346869798406977,1.4884048536073382,1.3584823965675226,1.2735855793924347,1.5743308327214962,1.5163523215711288,1.2907880265880125,1.1841616548656742,1.10756888366719,1.0228183104846247,1.0561861865946656,1.2151427463128044,1.4278567383371399,1.3066595890983663,1.276559300442631,1.1032101803667294,1.1134676706411646,0.9093968927136814,1.0976356741376443,1.0848488201561253,1.0151710684984414,1.0153320003685031,0.9366432416148427,0.9406869203120314,0.8931746783027437,0.9155612813798046,0.7300894344887613,0.7760479344857248,0.6987905472283159,0.9876992511462916,1.013426970603881,1.6122270228840887],[0.6661123941996798,0.6488697478514422,0.6427197818032951,0.7688374494045503,0.8187764753500975,0.7180303628810146,0.5519480376221918,0.5676234310180059,0.5430455788741602,0.4498639886421148,0.4451284894717644,0.545842510959384,0.44648954781451644,0.4043076137348579,0.43370250628467,0.43610822405848515,0.48512154425746645,0.4454181075430138,0.5118287931611498,0.4769335024740688,0.5587205636807014,0.6314032201117625,0.9260170825187674,1.063693811822553,1.3232417065652144,0.7614040780747708,0.5749594756619042,0.43038726305486946,0.4621175917605517,0.43471053291680534,0.4572532697400662,0.49851410858703943,0.5075381795532173,0.5068498337626791,0.4754913608367557,0.4358810073094844,0.5199204813588494,0.5653068526377701,0.502326457892033,0.6250832044878092,0.7562069769183294,0.6410955858536986,0.6912287736506575,0.9615209058444975,1.2179221828456797,1.7094738089327293,1.7861751160193031,0.9726938302178472,1.0744263191293284,1.6283792544554576,1.0566801345001346,1.5508859767194436,0.8988932388271479,1.1740486271773205,2.2295305832285974,1.4150362130429286,1.361559302320098,0.9343463796947641,0.9476462886466868,2.011345173123098,0.8360709013296691,0.7102088420365199,0.6924588708969449,0.757090408107797,0.7249580688945654,0.5644037061685747,0.7031844253554633,0.49907482107654005,0.6812819365072443,0.5889950923067763,0.7789038031375803,1.0430648075056455,0.7282313113849816,0.8139236538473104,0.5860244309765058,1.084042666961237,0.536215530942904,0.48949377707454667,0.4755142404030001,0.536306177176703,0.5111254403742568,0.7106829572041083,0.9156312557769704,0.6887777077541141,0.6440884094200149,0.5528867223481703,0.5295604425500654,0.6246402368111654,0.43721055426793703,0.5311107818202356,0.46820407019619537,0.7199361787189781,0.5979559643050271,0.45528687891395436,0.4611288845692079,0.5181179881296969,0.5344279118590243,0.5421216445400332,0.5719180039984478,0.6911708834237956,0.5710329009133318,0.6533553244838751,0.6016087605154945,0.7358884950879595,0.7566051045496767,0.7701015823305788,0.9049271932020987,0.8502744829264045,0.8533441634854347,0.8828929412152903,0.8091855959175291,0.6650501479205879,0.5461713038795118,0.5393817112558781,0.4312933168013497,0.41835230688283387,0.4643813452320145,0.44330661621003914,0.6042724057568056,0.4466755525574159,0.4662399945053262,0.4319917123751679,0.4438289217038801,0.3782046562745902,0.41555022321754853,0.5443014477674262,0.6832033006601794,0.6807998970902087,0.7657671646792275,0.7499160475170219,0.850144086940456,0.8845492979255218,0.7954926727906593,0.752674047657795,0.7002366690678116,0.7241764567498026,0.7938546620267475,0.6084101121321349,0.4844677200849561,0.4739584029857283,0.5309404384997909,0.7393446143630606,0.517289447358131,0.44172758132549167,0.5497310485758611,0.4482240843855541,0.45718464788719365,0.4794169933267033,0.5283336699548948,0.5438571511539542,0.6795835932354087,0.625168997735602,0.7618961567643272,1.2255393583142302,0.9476890483998669,0.6594287086836033,0.5827762590975231,0.6293987358527766,0.5346355219919563,0.6162997821472838,0.5445136026918068,0.48256284768195506,0.49941842303207373,0.5112573212388823,0.5545206530230361,0.6658617957785646,0.7119625044417022,0.9188985254083871,0.9027130412998217,0.8088513146615243,0.6958216258766493,0.5738131082261588,0.573205966847691,0.5922286954524018,0.5597838951637021,0.5596262596952994,0.5367359012895346,0.6157560011551392,0.5913460710674776,0.6269107276861914,0.5988162180206796,0.618240590672438,0.6244081431189225,0.7175687268284061,0.7167268780987618,0.7696543862664997,0.9138329496667833,1.1371849841729291,1.2126055891916705,1.385209655668635,1.2772876300447593,0.928783640457762,1.0027502171037241,0.9271866546160437,1.078543485723137,1.1127915251103835,1.0180085253730076,1.0478004222985444,1.069562837023134,1.100955089081632,1.0455873370113868,1.0149407070144019,1.0106750286621577,1.0214446301574795,1.0042376863544393,0.9822882237440819,1.0092137504287477,1.000748329902667,0.9876684515818669,0.9860568448528964,1.0321774698800752,1.0398778418377421,1.0498773898154017,1.196677663886744,1.1261545390348593,1.035005878970531,1.2209057696682701,1.0967581941567497,1.07462998966698,1.0901606299090605,1.27216670827882,1.4922135810376744,1.4329017062973974,1.4388682674094342,1.0792749573465994,1.046292593555416,1.1207830338316138,1.1646156476944958,1.1594271128850433,1.0888556162202339,1.1702727976941902,1.203484034989839,1.2416132961874133,1.1591485448834642,1.2954505717159805,1.5082940465882142,1.2761035369837779,1.3831989798218802,1.1550861088643123,1.095446632496925,1.1096156542973528,1.0668306704695534,1.0914265201505877,1.1849590187342716,1.1046819620697563,1.085427362831733,1.0975409611874842,1.0546810160424585,1.0811135769926727,0.984343515857054,1.008232993856576,1.0623103701092111,1.0045648865130383,1.0235902443458749,1.0665099756020704,1.198152702151324,1.0424913653690597,1.0513813063178572,1.0174573537313456,1.0100616811734076,1.0048195342966293,1.0337577768150268,1.0317465036731774,1.010518337415426,1.0416576845562289,1.0451624001263708,1.048109511449453,1.0464994105364176,1.0957029199785564,1.2183986506425728,1.0891238858009675,1.2112729444931936,1.2215073249964237,1.3743140561358345,1.2433202759629491,1.1666957081142082,1.4859476002701095,1.4567994618948616,1.205418672748763,1.1047035278975519,1.0143882002625173,0.9671687751283641,1.0134072691508726,1.1356776038447989,1.3058498110505878,1.2071075387489938,1.1664086789513226,1.027900271142241,1.0204850396521692,0.8477867104813434,1.045039770130282,1.0235544439407847,0.9466178708699085,1.0393746833789166,0.9072169293871282,0.9092870071656151,0.8718218880326294,0.91425661791326,0.7587456619864301,0.7996399867069601,0.7384470986973319,1.1775616436933565,1.1459483571506945,1.883598177673433],[0.6488280395628148,0.5809861693045774,0.5642117383421948,0.5849640210238537,0.6185082145824367,0.5669767894240224,0.38488185752795623,0.3943822628816071,0.42321950117419205,0.3471132165745506,0.3560431114791753,0.4259699311804489,0.36749403650801693,0.34831009487817793,0.39717611762778804,0.3930505516224404,0.4377117680531945,0.45681524549429736,0.5713096466881709,0.5486602591796736,0.6788056886387176,0.7459645743866471,1.0408369007177727,1.1853876635616687,1.3962638541103485,0.8405722343184701,0.6478594135775556,0.4458111299139478,0.4366616131982192,0.3681009226955325,0.43889897349490087,0.40438647368702946,0.4206613046743775,0.44457746290181843,0.4151949017887421,0.43034492696637355,0.4425663050583999,0.566531093847038,0.4855802173232923,0.5957625345288318,0.772607950523204,0.6997890462962948,0.7568003469708406,1.0464984568204256,1.381270874214922,1.8508822059514347,2.0287510563478004,1.138496297752964,1.1686961849749504,1.7561106607385155,1.2480922390192442,1.600170805349537,1.0307426472047376,1.272306559241845,2.234793529752682,1.4034797670781098,1.302626297322353,1.0602444287836092,0.9844622996959397,1.983163292651573,0.8900632892007122,0.7723704820405465,0.7550484673042973,0.8600754468771813,0.8338078267325888,0.6485951380396038,0.824376947347099,0.543125373236979,0.7159984931919873,0.6270914724724709,0.8152676038556772,1.1214040986873701,0.767856580128383,0.8721148991765191,0.6263022829715602,1.152907008971565,0.5654572892225181,0.5099073633709411,0.5106848194774922,0.6191586638240523,0.47635339421191825,0.6576629909053273,0.8436837574387737,0.6918786897043157,0.6125851652863443,0.49451946126997925,0.5165162148400058,0.5726690839849367,0.4755461361108156,0.5152453019720739,0.4663626738121449,0.764942520949656,0.6241849623590641,0.4448626771200885,0.43185538282754704,0.5110687474903955,0.5081900360307076,0.42973226074297965,0.4347347412727564,0.5408240700180833,0.4317941975638438,0.5001591353163616,0.4541603059794111,0.5575466506414474,0.651096588411104,0.5906517611803399,0.7122468470437094,0.7478407046385848,0.7083007983227896,0.732161868781918,0.6381325386110889,0.5191822721251994,0.39229210752803667,0.3936775308308449,0.37393028278398266,0.3934965888172251,0.4812149476056166,0.46624634787772595,0.6346343701450882,0.48146885858707866,0.4966302151225104,0.47076816931840887,0.48665314768692597,0.3571291079957588,0.3022255577163506,0.4007007752900555,0.5168443503329188,0.5396136347772955,0.6059651715560974,0.6155389378700054,0.7148282456615122,0.7513489120483449,0.7380658522690521,0.6544424596515492,0.6442370203639283,0.7706555564185289,0.7128376887764938,0.600663709057292,0.486697425660643,0.45734165174274083,0.5669133000325154,0.8350571821192758,0.5398993972162036,0.4635483302263533,0.5734255733498694,0.40211401469444213,0.3951970503981623,0.3764467214930997,0.38811142553428307,0.4065298032323142,0.4976719898712048,0.45353643854135567,0.6266408863560573,1.1092757868006042,0.8368840623251588,0.4889228855631023,0.4295029599295633,0.4579098216832698,0.40030873422808266,0.4658001228888209,0.43695343991830343,0.4226599800379801,0.48074340137777666,0.5010873464508684,0.5832049138617434,0.6662951151991173,0.7351203432457026,0.9676523640512513,0.9255017112107408,0.7832989573380237,0.664422805202078,0.5668535635135372,0.5538044918676046,0.54013275442915,0.48456805275721665,0.4354600019901577,0.4417668571579606,0.4750370361713206,0.5384581427719362,0.5610258154241685,0.5555918816771509,0.5155139835183942,0.5931238100823091,0.6954858253439979,0.6824340453313724,0.7339636713895676,0.8312555507742335,1.3157151887301421,1.3378163619600036,1.4553878424603612,1.3387114741849802,0.9800559523342042,1.0764955604007647,0.9749501880728962,1.0879277802512684,1.100622949297329,0.9806177752874693,0.965756742733545,0.9652620434518119,0.9332749592412101,0.9180426068950338,0.8420546039164212,0.8285203371976525,0.8731252823149265,0.8648999440681636,0.8166569022868891,0.8516525242967619,0.8847689892919841,0.8655237303003654,0.8632331900028682,0.9424427184667926,0.9727007617239614,0.9609369229131451,1.1432211760222515,1.1134538241377023,1.0468753737747052,1.1773115058817996,1.0956056112312695,1.023006576796598,1.0465453819815524,1.2555806252782995,1.419147983815508,1.4080444474439462,1.404420854327182,1.024629810438812,0.9732125346246838,1.001701478432782,1.1122799554285439,1.1229176701596573,1.0269398547702202,1.1205975397619532,1.1985943124681666,1.1949564422731926,1.1114923873522704,1.287284866408066,1.5502630723021897,1.2667433514250253,1.3353727447099124,1.0851876915357674,1.0198481182707275,1.0196370336582485,0.9412107114525791,0.9613948165745424,1.0375957518631829,0.9343377300995258,0.9311371019952023,0.9550559284634442,0.8871008189531453,0.8928635231948183,0.8258750662209057,0.8515086132084179,0.8953063245860753,0.8579119082762601,0.9077779282031664,0.941799914442785,1.102511080513102,0.9617626771467849,0.9824394350238231,0.9474420270687948,0.9164464538806154,0.8823327054755423,0.9450270213737654,0.9516496135178588,0.9154717273999962,0.9564375442837034,0.9876700002136753,0.988971154329564,0.968021677428076,1.0546951463025735,1.2093546704401072,1.0371068510207315,1.1787290639505994,1.257417393909426,1.3786781773688712,1.241144890300298,1.1061118894031998,1.5573838605483106,1.428342271385527,1.196935082199047,1.06109386118539,0.9415244433996494,0.8755358790820135,0.9622240981585273,0.9520158380868363,1.1277539065554667,0.975199559099868,0.996237118182547,0.8435465249222507,0.8547378636267303,0.6625245014759519,0.8191838774588225,0.8163802334237081,0.7595982874325725,0.8385381120235919,0.7028011307193643,0.723479955817952,0.6857537983210505,0.7588780072470337,0.5835377977916489,0.6590056792797173,0.6152258080553232,1.1301138301291058,1.1050022866693654,1.9020734469156915],[0.5796814730121891,0.5483770634343113,0.551436516997028,0.5341457573274512,0.5175491288404014,0.5186638150920924,0.35501275997880094,0.3508443911966237,0.4194527008198171,0.358492018591044,0.389696963612575,0.4274281732745856,0.3839415542893795,0.40847056274007837,0.46985354868924617,0.4419398429635671,0.48022498155597637,0.5137971368399619,0.626979116781935,0.6238179912944751,0.7721048749970301,0.8273293714740589,1.0678634509149323,1.2214647519855026,1.426303562911719,0.9247028464315076,0.7133773301079082,0.49035390712614757,0.4669023039310144,0.4036003442423875,0.5235415818211526,0.42866589712500563,0.4620761328574054,0.4981147167626352,0.4534963586157732,0.49971866464041753,0.42788897060153075,0.5788620523933562,0.5036874296182775,0.5244040264523435,0.7436445708243811,0.7258856272941835,0.7618721328042026,0.9969724343574384,1.4179806230100889,1.8995906569598364,2.0845842934493506,1.1720028175879211,1.2079079763225316,1.7802831754141062,1.2725054653577885,1.8058223826569275,0.9995783441784719,1.1783775060787192,2.0204537304668744,1.218931291976529,1.143656501961475,1.0646242012342606,0.8842731265916094,1.798482559210875,0.8820260480128127,0.7833458628169194,0.8061385825093764,0.9718690205290941,0.8887100921539325,0.726245775131006,0.941276814030368,0.6302008197903363,0.8002371412159643,0.6894905472276008,0.8694896879210802,1.1741047412275505,0.8312175535570676,0.9356759928946641,0.7249362283947264,1.2558013670259722,0.6444648507156284,0.5920542179484864,0.5810131255737817,0.7062828904017036,0.4731993709657395,0.5795528216401704,0.8780191727606693,0.6183123412620639,0.5650557391233766,0.4361588896147462,0.5103642145220731,0.549067209250373,0.546121726259997,0.5640659222297827,0.555398316174745,0.8831261475989631,0.7352896608156674,0.5320643728420456,0.5050997879104825,0.6016714528103035,0.5715322033694369,0.47429097491712036,0.4568094158426304,0.5397656597219171,0.42202897082448493,0.42835069209346005,0.39491806388074757,0.44480715285988387,0.577346121145281,0.4916583014974108,0.5605507269726179,0.5870270361929363,0.5358472467279914,0.5856790392652033,0.48235308564388335,0.4117655205124624,0.32530598853120696,0.33272869916036224,0.3979175026270371,0.4171764986169989,0.5077589916072239,0.5002678835185038,0.6801915730951008,0.5356343513863322,0.5568171795982938,0.528948272515941,0.5312611407763368,0.40232110342071215,0.3345276899534989,0.32689426506809716,0.41166541784869537,0.4146106447332837,0.45709053230817753,0.48314630018551286,0.5294649459623225,0.549079337170413,0.5736787953545543,0.5123670759422648,0.5255978202859314,0.7480808124791414,0.6182759727037832,0.5483628288846802,0.4516673078414732,0.4194161682596756,0.5507915038418137,0.8389670879965099,0.5674915150761393,0.48393468288019037,0.6443052903039608,0.4079200754458009,0.39586130989168244,0.3574196020798807,0.3262671450722622,0.37022730206118787,0.3985844237306779,0.4137286504396154,0.5943825633498443,1.1144347946331767,0.8720099728312549,0.4443959932176235,0.38519556919272036,0.3539501364875006,0.3483497592212074,0.37644987989929896,0.3722825637735012,0.4026394534648674,0.44826427801086133,0.4689326776552837,0.5604772055391571,0.6831074419228174,0.6659689567270791,0.9168723086731294,0.8699967330960822,0.7196829230219769,0.5823475365894292,0.5104529684603557,0.49112435070261135,0.46539346001674936,0.4136280821328426,0.37046747858063944,0.39852613901465633,0.4269123362604242,0.48512261851090055,0.4672291106056781,0.48329961985836417,0.42745080238066907,0.4970236435242571,0.594236285498895,0.5598748384616486,0.6568729600691839,0.730133582834194,1.3870269661279373,1.3629047936364242,1.3949143125919072,1.2814474262022542,1.0066981514515287,1.0540876512291835,0.9229601104281716,0.9720862254953916,0.9497835393161652,0.7915887586033515,0.7769437437157699,0.782146800176713,0.7548315230910936,0.7252049590638755,0.6585971643043699,0.6524653829370247,0.7037552962539617,0.6941727040701956,0.6695508153424844,0.7364366809064276,0.7523208802898878,0.7298381584224618,0.748963829446098,0.8403367037890135,0.870279406510646,0.8724580188273051,1.03838746496157,1.0359930866268596,0.9738081125851553,1.0813169602548158,0.9966716468636948,0.9045718915235901,0.9259979076725366,1.1202232351356602,1.3481522271825408,1.3067256726619823,1.3654047523333672,0.89200311780324,0.8235733400167418,0.8470460082840215,0.9456707842810077,0.9634133653180794,0.8658238391269985,0.9533696358700349,1.0548900467186229,1.0492631086709856,0.929106267916721,1.141662832720931,1.353739093620479,1.1233513013261223,1.2084909720029144,0.9008747986280281,0.8303445111910276,0.8273660374900219,0.7655860105151002,0.8056748104472553,0.8681517495308565,0.7966186909205968,0.7558745577803107,0.7878656500269202,0.7509634188176076,0.7535385576672733,0.6747516160674033,0.7255184467378555,0.7966253633388307,0.7451734249062715,0.7873608585446674,0.8584362288415578,1.0448701239592537,0.8561490842365876,0.8624065999010346,0.8248874491737169,0.7808984833921704,0.7274222863517035,0.7840925163075809,0.8127829778878268,0.774958118726423,0.7922780446753647,0.8458014329303375,0.8649096445273047,0.817495114029791,0.9068953981299039,1.1060072804030225,0.9130816436406288,1.0201880920073492,1.119698647318044,1.2563591417459725,1.1206913569120007,0.9969393936899801,1.4447631317963956,1.3637557991552944,1.1167479822890543,0.9942622026862581,0.8524755901780255,0.8074297879451935,0.937300663412147,0.8623794269451559,1.015328018714504,0.8660950276973451,0.8486817914576423,0.6892597687903533,0.6747496011491836,0.5187447186829044,0.6678514049445342,0.6622730416477092,0.6131844679794516,0.827559210432241,0.5916752712857354,0.6105724638285589,0.5805772383282447,0.6820681158278398,0.5205941944397968,0.6319920751303043,0.622551988324312,1.2695825478012068,1.263698950820979,2.2033497549248278],[0.5555634719961137,0.5412709553404849,0.5923634125351387,0.46711780745809345,0.5059876150077536,0.4855297393481686,0.3355337231194517,0.32946245761353027,0.3878182322659467,0.33673802191575214,0.3566265250164863,0.41699309072127755,0.35170299329050236,0.35237199841046885,0.406043459881776,0.3836132672458628,0.43281494360270034,0.4362273058142277,0.5288457633781265,0.4940951866663397,0.593392715647709,0.6629365742018546,0.9388103312077716,1.0748405616950503,1.3354887518686185,0.7843008791892474,0.583919919429422,0.4081039838935763,0.4166859422046526,0.35475918325540495,0.4304961267933379,0.39432453627737263,0.41192076757232593,0.43633146717975435,0.390688983675661,0.40374921099743194,0.4060282028062759,0.5230873451750551,0.42376829169373254,0.5055469159575424,0.6965929743445576,0.6283292509018009,0.6742610546199651,0.9417408696148316,1.2524658378587337,1.7281434884369098,1.8276779981862592,0.9986358986546497,1.085416409631114,1.6366108574122131,1.0856247420198546,1.6506824234008413,0.8822105746010662,1.1361292859417378,2.1025021608722523,1.293508894964926,1.242244145134489,0.9579683368565061,0.8876190686424944,1.922282234590459,0.8127471682994017,0.690371053215047,0.6959424014508246,0.78191995654469,0.7532720435525807,0.5887118730861214,0.7534053904645391,0.50806527499148,0.6853386107030192,0.6059116575589665,0.7951074131242126,1.0839191592434305,0.7445452662078295,0.8302550314254595,0.5893494928437495,1.1133016306295465,0.5383678685214622,0.480301917157056,0.4729794832232685,0.5580715675174918,0.41848602371497273,0.5936904599966097,0.8411712768346012,0.5913175121863321,0.5463239062624609,0.42552612802025014,0.4559222486185088,0.527372633753445,0.43026279526330474,0.49260398156407287,0.4487731909693487,0.7445237600497429,0.6158294689430115,0.43462262557960485,0.42563147773193283,0.5102250966061052,0.5113185409894874,0.4278270339451787,0.43043344272632394,0.515127441863204,0.4096012308488114,0.43338540036813245,0.3963263833123634,0.46147186827317443,0.5659656423043673,0.5040379139327039,0.5796564306806347,0.5890577477454373,0.542011530636294,0.5974904706953758,0.49179641116801714,0.41843472958662215,0.3306910996748964,0.34187677980424475,0.3549782848277272,0.36477376442839354,0.4509214816085615,0.42652565532038406,0.6013913749181248,0.4501218238306902,0.47119387359133547,0.4481355178449221,0.45565008084232644,0.344979195757861,0.3001914149642416,0.3488075048542946,0.42294747230207624,0.4365862630966923,0.4794069252336974,0.4956839136803802,0.551917657275113,0.5669941630284777,0.5610505017460882,0.5122228642819603,0.5092839480392113,0.6991514975259336,0.6295628815375087,0.5161337865728348,0.40794778563747636,0.3758552300553929,0.4898328268332286,0.7377837440395237,0.4881179261392071,0.4011596531881867,0.5335441474518221,0.36580599465247077,0.36323581710267283,0.34434009161071427,0.32826725948157226,0.36832643568247747,0.40799645920260263,0.39864136374292364,0.5741459514155605,1.069307178310856,0.8385588502134568,0.4417633473869058,0.3896467892152251,0.36764159908858335,0.34504516527125806,0.3894823697212851,0.36343854289531685,0.3693657220247088,0.40067656157491355,0.4185254420294095,0.47742362144659645,0.6105100631420372,0.6018092075724271,0.8352900810778469,0.7967416549254562,0.6896760997085435,0.5520181983158642,0.46511869862384403,0.45040059611869876,0.44641890240557025,0.39956440705867297,0.3606129019311331,0.3873726430748949,0.42199070419596124,0.465601109987777,0.4506323641195771,0.4531001651192469,0.41039241377564945,0.45217528598328305,0.5581216570531281,0.5411475409445131,0.6348813005462252,0.7702875490006179,1.198182884325317,1.220848469558096,1.3227862225431446,1.2230693963415449,0.9145387484322023,0.958827071615719,0.8474108811834317,0.9217916654779544,0.8979512989803987,0.765191019678177,0.7636714060858372,0.7652903699251065,0.7611578946851673,0.6911613097075431,0.6311505037145878,0.6325936711305619,0.6601983643912737,0.6359623371875085,0.610803531992424,0.6835753814296206,0.6779217562691543,0.6479155404844659,0.6681592265897727,0.7476868533050944,0.7706683093790603,0.7821031131624405,0.9280700177016399,0.9464684834802033,0.9257126865415558,0.9655022404358118,0.8953721983977612,0.8047104739196206,0.8144564336589734,1.0009247130963619,1.2914469876801504,1.2285284839988873,1.3529197116830087,0.8245103028827542,0.7580800802254637,0.7957094483200269,0.8891639223417209,0.890280791293748,0.8033711496114831,0.9151648663143946,1.0050642326940158,1.0071884093995367,0.8850729624447239,1.1037431353752136,1.264396820905736,1.0663771322430307,1.1880075702559052,0.8625879673152899,0.8081132110594299,0.8030744099028475,0.736452818781059,0.7883321501621317,0.8380478964738133,0.7846636021318076,0.7350961881797988,0.7396843630811825,0.7169930496259035,0.7201244052073585,0.621872697185626,0.6629757176479382,0.727105267849057,0.6718588997211465,0.7078516534246612,0.7776145430485022,0.975201720981871,0.7667594673676462,0.7652499146834517,0.7333240251648838,0.6963294645377206,0.6562632405255505,0.716010051003474,0.7308654204614697,0.7013187870129386,0.7292045394287598,0.76918289578315,0.797665756136754,0.7571645405289552,0.8370190576968211,1.0476372479892244,0.8479721500509653,0.9453345697467233,1.028216031649155,1.163858549171478,1.034857898594345,0.925361174978726,1.3219732999723794,1.2945466827867895,1.0098068943664906,0.9222007805635228,0.7942473414818145,0.7575702482469733,0.931317307527622,0.8082591830369201,0.9565328254192282,0.8702568765991439,0.8136933522382428,0.6742155928984822,0.6700387720726398,0.5216669070829087,0.6331731020888139,0.6422374783976367,0.5716316623303269,0.820009133540045,0.5630695811303119,0.5447730753932712,0.5077001634791237,0.6468259942176915,0.45589916218894944,0.5744994990482211,0.5997775838058053,1.288084253079371,1.2797658760715913,2.2423683958374205],[0.6694587554500525,0.6044747740476495,0.6918867791907514,0.44297164050017884,0.5267245647612754,0.5283840059774481,0.3888556294650188,0.3965343535142016,0.4374291389138051,0.3957943292960727,0.3997173747729254,0.4519063315886564,0.43055041023080165,0.390616878918731,0.44284395138442834,0.4533152528326624,0.49555755809741686,0.5125200488460534,0.6231267136651041,0.5785438787707218,0.6809865131246636,0.7669037083622071,1.0691154861134695,1.2078722095735897,1.3896660333180395,0.8184716188516554,0.6636557004675507,0.5055491061457923,0.5079697844212372,0.42746910573590347,0.47945507690297884,0.44842835665263375,0.46057206889912017,0.4925818889644929,0.4802455253036668,0.4810693853689426,0.4982949044614734,0.6268885674107317,0.5466856969219245,0.6648771307681431,0.8295389141280742,0.7370276132022595,0.7967186719154774,1.0987385753355505,1.3407719428905407,1.7674742763806095,1.9061880957560744,1.0986565808069912,1.1275254370398504,1.682763163432706,1.1909531681291983,1.5066145085856348,1.0405457250506813,1.3356894122982734,2.3231631783537163,1.515440714917891,1.4298302646022407,1.114318267709282,1.1002625897907456,2.1421620893755016,0.9815545759588108,0.864175292542035,0.8432261864643261,0.8417928525117052,0.875936896774535,0.6900053730321651,0.784457209548915,0.5627822536101962,0.715400941481565,0.6687723112326901,0.8379718867729067,1.1274248287984399,0.7870529986042148,0.8737831467487951,0.6270315676479596,1.116951559874798,0.6093059017860605,0.5529430724241317,0.5584927908837396,0.6377997514707373,0.5379246181876847,0.7060629945331954,0.8315447768654323,0.7295833119736412,0.6551162133985337,0.5524601982332705,0.5792509486017456,0.6186467846264359,0.5297958132362915,0.5674211197064931,0.5128941702350925,0.7530659921015396,0.6379321171757678,0.4716738635893821,0.4610787416864112,0.5142883777305475,0.5349404712259442,0.4539909782346706,0.4585065134775271,0.5201640054793516,0.4620236840684696,0.5127557206964372,0.48665986163080477,0.5381292486932342,0.6799906586750204,0.5858349128769038,0.6603667993000457,0.7007607704131066,0.6257760227343947,0.6689126106709865,0.5761649175080895,0.5296689756736596,0.42156006278736685,0.4425088320462765,0.4466448284665774,0.4725891210418615,0.5468839502698039,0.5284076674771785,0.662792092954877,0.5232774928156174,0.5238833892938359,0.5132232065510277,0.5383557745757797,0.4270761736750643,0.36195879381673846,0.4367592511437947,0.49766065055384956,0.5271799177512939,0.5651521216978898,0.590712945243264,0.6465230452742188,0.6727182183774543,0.6923782368129042,0.62504819405082,0.629005725551538,0.7824497697659726,0.6832499624274363,0.6202793104667794,0.5315589064026884,0.5127992338397606,0.6431743642927856,0.859650719982856,0.5747753349937752,0.5189861354080264,0.5819974294510631,0.48224264097223785,0.47153183442053487,0.44893033783550057,0.4472297693189165,0.4344405721348266,0.47214320439633095,0.44063314798866743,0.6141013765229877,1.0029128048732947,0.7856358750488225,0.4803094370012101,0.45436761925258323,0.46624376031740633,0.45098632485146267,0.48357966476822917,0.48596769863356837,0.4845062161648176,0.5309500511973505,0.5453326354960465,0.6006422972398111,0.6528305232186027,0.7382725455712679,0.9541275594458968,0.9080951501721864,0.7901530650524018,0.6675900375859573,0.5857859407830757,0.5742878456714927,0.5711189863140652,0.5322459685154028,0.4786870162010239,0.4959269759210848,0.5089362520568713,0.5886443615213711,0.5913947476500145,0.5840208275668773,0.5286391259952178,0.5985392306240089,0.701964423357449,0.6794743158174555,0.7477163279178781,0.8794495560073681,1.275566994809393,1.2994434278963778,1.453004933112348,1.3281529193405228,0.9689453361321934,1.0469392141288327,0.9475655297102024,1.0641699372809856,1.0530311678742243,0.9189280206222941,0.8756399399246425,0.8394307315549153,0.8023182802420574,0.7570479606911573,0.6691764811946663,0.6625284552863058,0.6945841556110574,0.6737420247259479,0.626482823744251,0.6750478202003987,0.7024968705436917,0.669346570928269,0.6820348875928959,0.7673117957956949,0.7941878674470437,0.7909020396599726,0.9630353057007319,0.9837195240954614,0.9846846882249011,0.9689591403167467,0.9273450937681854,0.8370196714592845,0.845629232224035,1.0595534821636985,1.2644509919756002,1.2658022627437822,1.3343327537729688,0.8926387915088636,0.826641159434006,0.8442724178243987,0.989265924965466,0.9833459897526733,0.8916372947398485,0.9995518358164893,1.0928194969635434,1.0595454217969358,0.9679576667423369,1.199910616574296,1.3872148252258096,1.1456952807318959,1.261719558906087,0.9461694946549505,0.9232320276339789,0.8914571147315709,0.7855665648573563,0.8308133282558885,0.8681823434155013,0.8131234589735652,0.7833858949755791,0.7786270617598554,0.7288536870923858,0.7335290031282446,0.6476681566296436,0.6609450363380411,0.7074639648013693,0.6719031045692189,0.7205391520369939,0.7613452656818922,0.9710670914164455,0.7852171696045108,0.7880896972553019,0.7523184408253655,0.7211906026173313,0.6961551260643702,0.7656780966619938,0.7638024984821407,0.7242431987014067,0.7804489890588072,0.820549786632452,0.8398236159009748,0.7971730502710864,0.8908975502883559,1.1015824087922605,0.8852749818539835,1.0038405419666183,1.103418171833443,1.2007563836243782,1.0644886313206612,0.9290730990550434,1.4007963548018956,1.2861735863540267,1.019772331897244,0.9531469676594857,0.8079995190498568,0.7988508909264207,1.0153997993651642,0.771630111464092,0.896717963388824,0.7710222775404909,0.7906755603617202,0.6889437370025024,0.7136334475419965,0.5723544062284789,0.639801396656835,0.6644690083126911,0.5946024777434916,0.742578471019534,0.588772761135333,0.5528485513876509,0.5131086430809015,0.6793060564980228,0.4611543696624847,0.5736705109213177,0.5768192154983647,1.193443556052042,1.2185478474034952,2.121134758101154],[0.6274187726125413,0.5903613504732437,0.7184594370739698,0.4192624743856972,0.4663053205533939,0.48432769537036796,0.34517706686300265,0.3506128395782839,0.40316015877618333,0.3667149614579801,0.37686709033846594,0.41649107491971704,0.42710886309100204,0.40875342475414334,0.4830940450750329,0.47894597599670596,0.49624432083112663,0.5411429985598027,0.6701954671571291,0.6753171976944569,0.8306734473624434,0.8840590854260152,1.1886384619710686,1.3230425345644354,1.495450751307683,0.9495211737595718,0.7641995662672336,0.5447116553094125,0.5188675984421469,0.44530451399816007,0.5324892267583212,0.45912746072698146,0.4661550732399067,0.5302199618194976,0.5219886307288182,0.5599034069687435,0.49965162321901985,0.6661321130617412,0.6080247835591733,0.6468842671130784,0.8166172087119347,0.8087108797460537,0.8581622181480646,1.1180217739518956,1.5150312591225958,1.9712456406362378,2.208646414948511,1.291898532976782,1.2632531972451797,1.8649444932205277,1.4236140512254989,1.741203252375198,1.1322607761789627,1.3199263923464362,2.1477049746300563,1.3678804422420325,1.2649635578540126,1.2239971783019084,1.0328189615108196,1.9310393825346466,0.9792417041218883,0.883843587647707,0.890650474875916,0.9948583498172817,0.9576012531360838,0.7761098486190726,0.9608389113781887,0.6586346175570558,0.7796907596458166,0.706124390206401,0.8786186867419035,1.2194719907457825,0.8295630084643575,0.9424445563203199,0.7370905782460366,1.246095582643685,0.681201896304406,0.6323398835036851,0.6467288259339651,0.7943273442803153,0.5874523308529561,0.6844966052362453,0.8926695351790317,0.7663312396518808,0.6857661632267772,0.5563607853127469,0.6123705752226151,0.6317542292103714,0.6237428226954337,0.6149198578890687,0.5854132215222765,0.86920021415147,0.7308315033819754,0.5450041088930401,0.5128940124084619,0.5809813770030944,0.5778869185973264,0.459807273677893,0.4338659320561225,0.4838219183345739,0.4448703315568097,0.46637527121079375,0.48055842932527154,0.47154885449306644,0.701770980646153,0.5594235036546569,0.5773087365710023,0.6578747511465745,0.5590496717536083,0.5950462218966321,0.4813278207957744,0.4825052145037126,0.39034639658749626,0.3988318296162863,0.4552655861852739,0.4851805241151358,0.5503321806686042,0.5408661527187785,0.699040097854393,0.5477871391204393,0.5489376076427462,0.5354000969739325,0.5613136284872352,0.45636635014140126,0.37357406494159695,0.3905185161101577,0.4424302989974568,0.4832011873754284,0.49830284949327447,0.5617797328628892,0.5858341320726951,0.6180275941410517,0.6956600318860995,0.6244669203070469,0.6438985028027279,0.8626471168395436,0.7090882539718416,0.6458725056431801,0.5325415196545265,0.5286000127408585,0.6303949296340937,0.9348552544521559,0.6191255139554319,0.5592943912430125,0.7058793454733178,0.4864128856318357,0.4709604084286492,0.42559002487705566,0.40822950709386285,0.4147060435264788,0.38673979981858403,0.38412345568759293,0.572027017639064,0.9823224408252441,0.7851167404808309,0.4153485244976022,0.3948789650097808,0.4028407264890561,0.43123706947938195,0.45457408313568937,0.49446532495745693,0.5061153338705718,0.5544382435130061,0.5878703514509138,0.6839158587111768,0.770358296864423,0.8074502678822524,1.0281098221771603,0.9774529214771107,0.8095080040288064,0.7084886496054227,0.6351881852578347,0.6202803331216575,0.5891849645890951,0.5438608654196113,0.5001609857795191,0.509200104308771,0.513178068905438,0.6083107142214228,0.6111480458617339,0.6302804501446043,0.568755603631254,0.674940701342177,0.7451792949084763,0.7060437325517503,0.7768977219755987,0.7892212012291632,1.5389941726550764,1.4770064296875411,1.5078650526831536,1.370155572153345,1.0757623095851883,1.1591192390572436,1.0450252717856483,1.0983589257632322,1.0721695907889643,0.8857772565215901,0.8246452341278622,0.7846332795335581,0.7126946441526916,0.6996242908326793,0.5864117844130841,0.5769655991562805,0.646748161977694,0.6322939474123705,0.5804127487223245,0.6563473189499642,0.691468946439884,0.6441591288573976,0.6639111039744799,0.7624942780504343,0.7914541182716801,0.7836069007670942,0.9627496616044109,0.9923689462678047,0.9898738940979962,0.9868578743720874,0.9512913137641806,0.8478026816239999,0.8602392627459476,1.0813372430767638,1.2869552244280922,1.2875201741796867,1.3455916694984429,0.9064735201878867,0.8348577546771475,0.8183397961714464,0.9863785812303187,0.9997101482852943,0.8932081425667955,0.9909150404516264,1.1241062491676637,1.0584674578245659,0.9523008340079286,1.2134334997650704,1.392407298074525,1.154820606984718,1.2265711177785632,0.9066349178980002,0.8805290574608138,0.8485916353097325,0.7395076431321731,0.7747007363394895,0.7975205309375556,0.7439708940232559,0.7055824173075729,0.7132542157654892,0.6598208624173431,0.649223853846175,0.5906381867199647,0.6105437300672846,0.6605393984435134,0.6353623725099794,0.6968042333610861,0.7394639898175246,0.9618656273612971,0.7756444195511345,0.7846125724987775,0.7527784108600882,0.7147533192404719,0.6684606699820247,0.7537406696164117,0.7670595825143045,0.7209965452572853,0.7684070433148191,0.8312130327145173,0.8548044057147067,0.7941863209302537,0.906037105059037,1.1346435636449974,0.8989909723451328,1.0016628370570444,1.142710404848835,1.232108534487613,1.0818375307526102,0.9312958190885735,1.452347662527571,1.2967184655786794,1.056683126294984,0.9712775590083194,0.8149089006349044,0.8002570548661191,1.0203331374147415,0.768653300826759,0.8699145000829072,0.6938588071485478,0.7253903158157968,0.6249612073335783,0.625479889159016,0.5113475488979853,0.5586099689482181,0.5603306260668487,0.5237657687451835,0.7120752427559306,0.5184111757569702,0.5082395902712084,0.46247473687096685,0.6240591327702487,0.4210975228523208,0.5666486840585807,0.5881452035365047,1.2755175723771426,1.303117037836896,2.2971789984484623],[0.6347943181797628,0.6587250420411104,0.9118795636865622,0.42476878140633906,0.5124586759832276,0.5128836951439608,0.42357111380909906,0.4367627096995756,0.45622608315533497,0.4203579041453658,0.42025979232421246,0.4590031609008235,0.47609397012343047,0.4409677612186705,0.5105129434543153,0.5124593890671039,0.5119843780334395,0.542063541383179,0.6525989631344121,0.653535560581166,0.7784450630229864,0.8354904557156955,1.1098003899591808,1.2369845554964012,1.4502461101337913,0.9064095597907389,0.7392251021138482,0.5394546591469813,0.5275885324088798,0.47552846696267564,0.5533219970026207,0.4986364229274358,0.5052676448028415,0.5506956342477828,0.5457330360670031,0.5726210928651212,0.5213932759169418,0.6618226080377558,0.5950877650668955,0.5954785109556774,0.7708357918280987,0.7710027546717487,0.806314014570544,1.0466744184981782,1.4194082784620237,1.877408162516998,2.055669458738385,1.187193751547008,1.2098790345497328,1.778765071316804,1.3049650606608685,1.7876388692818659,1.0392660147197141,1.240045093738705,2.0519927770361557,1.2815737309747655,1.204746016784323,1.1689617884541916,0.9579666322902112,1.8789791967998908,0.9292179832450538,0.8360718069527899,0.8573900210094118,0.9425962479392201,0.9108916751720516,0.7454933029185967,0.9097316462898563,0.6361334359463046,0.760307343543131,0.6986883621816934,0.8619258326052986,1.1912008249692256,0.8090568046917687,0.9260526601069738,0.7200533740997905,1.2288005854813213,0.6634343888025959,0.6231652498591176,0.6319743434819514,0.7733721573839811,0.5757698055586375,0.6549902558113428,0.9288506332378373,0.744974399344822,0.6689260713893324,0.5495944771479984,0.5938037295138155,0.6340280663657913,0.618594944848588,0.6222387719586592,0.5900013325512999,0.8683426552664557,0.7389361720236771,0.5684075252586911,0.538128256037886,0.5992471553258523,0.6000915074185523,0.5025746441003813,0.4842741722318772,0.5292179894120992,0.50026911414332,0.5224001056237021,0.5337998545433125,0.5160859839700151,0.737438534038347,0.6028935825427727,0.5748116251177837,0.6437010028370582,0.5607482150084168,0.5983041087803086,0.4854343790342275,0.5274971071563036,0.4681354318525996,0.4511812393792588,0.5021734136266526,0.5141453464039133,0.5568062450858401,0.5262689065790414,0.6801325005415115,0.5408534449463492,0.5398866413079789,0.547402313335566,0.572410405207132,0.5001065544585174,0.45070637483864456,0.45118365366735064,0.4888122696092782,0.5227991159566131,0.5102157618738092,0.5939173285299445,0.5657182988286246,0.5824496290332993,0.674173794745111,0.6342495324368446,0.6551599936861331,0.9163728662604436,0.7477399940387022,0.6889566247731678,0.564551592344787,0.528294237143006,0.5874783451210153,0.8691623301606272,0.5873591619000179,0.5444092787363428,0.7026184969489317,0.49047758586886253,0.4895489252768312,0.4657784118801196,0.4610042875096435,0.4808329676693919,0.43097277576591,0.44775970392418857,0.6220489131988635,0.9785784479747643,0.8238280884990318,0.4668405530569294,0.45206311705865254,0.4577446170504937,0.4832239891246233,0.5067365098765023,0.5304123174868434,0.5280303040657467,0.5549417502155656,0.580931327651287,0.6575022776559087,0.7595656132419008,0.7596793505251132,0.9526272693890013,0.924102518886956,0.7827832757065426,0.6937381020667603,0.6420744784524701,0.6241174699940023,0.6011527512176312,0.5631546466065889,0.541436108462829,0.5360300340668671,0.5460222865349136,0.6202587797023839,0.6210679010775326,0.634726453203547,0.6068760117059371,0.6761101806208912,0.7226196184425907,0.676837049717287,0.720814117815187,0.7361921193835399,1.4725003165681423,1.3844203306091738,1.3923121861091623,1.2842066503206775,1.070554074201362,1.1197702395243685,1.0197066702504303,1.0306823287622022,0.9807714685976645,0.7907199264122646,0.7387687470935328,0.7058510369773612,0.645942748725666,0.6174607888925322,0.5186613145105172,0.5264444129374821,0.5981813094975468,0.5803035182568504,0.5651382108731069,0.6828864586704724,0.6751330414458316,0.6196074681416802,0.6691736707109697,0.7457415128415574,0.7596147579804549,0.7687069210849815,0.9001496146125751,0.9602317452094989,1.0077123838335134,0.9171976157996613,0.895984358051851,0.7940516844455837,0.7856469692890312,0.9497789403693303,1.2067798935734517,1.2025252403935958,1.3790227353016056,0.8650677107218079,0.7727540361244016,0.7504462716641535,0.8769539888076672,0.8838882992919612,0.808147828792888,0.8962727988123039,1.032046274694385,0.961145614372853,0.8309880828891043,1.1212540191334115,1.1953241367173943,1.0343616563967046,1.1402507742123835,0.789263300367621,0.7842248745690967,0.7483639949427642,0.6778660297992033,0.7314914646114204,0.7151089560412052,0.7101649198032475,0.6321048506347862,0.6343577271751762,0.6250433619040084,0.6047535153048851,0.5721779561281937,0.6039431273844094,0.6623726596158278,0.6251533727250848,0.6683319683471202,0.7302505878130431,0.9701853259113645,0.754959897133429,0.7453522562440409,0.7230034229674441,0.6836030161254651,0.6218560669326875,0.6894826052412669,0.71639906802511,0.6857275586099439,0.6999224853255406,0.7713864418334383,0.8219779780972108,0.7476783102821113,0.8380049901230571,1.1082177989688722,0.8626792028355095,0.8955232810094309,1.0449666405156817,1.1382244679186888,1.0040065527208009,0.8655075317101075,1.3098774684248988,1.233264259722525,0.9747769552302822,0.9629762935522178,0.8346349272959386,0.8474901052349633,1.1115475714616765,0.7855592823090677,0.809390996509184,0.7019898450355112,0.6632446835009913,0.599486434155808,0.5747685275511091,0.5415976971014372,0.5427626739928546,0.523855608848644,0.5177850597575375,0.7751893726061962,0.5364731964138394,0.5174148339945797,0.4681843684401399,0.6240399096783649,0.45129902475909944,0.636584546607457,0.7087486187434289,1.428797092278148,1.5001173356812394,2.5932749590130233],[0.8211667877666206,0.8225432185174338,1.0961742255564941,0.5034944288201592,0.5607684109155292,0.6346320132006718,0.5500588493793522,0.5587525649526187,0.5887254832735166,0.5874358231123638,0.5949209080332482,0.6064357644049099,0.6483774096254264,0.6046215134651725,0.6600326003585985,0.6815554921951261,0.7261482305296999,0.7649433206368997,0.8806279668196645,0.8064116329845759,0.8703352392998679,0.9422829477488324,1.2112625709218692,1.322450449461554,1.4701008526322534,0.968945246193956,0.8669733108938317,0.7679457517277788,0.7583974989335706,0.6649297577951367,0.711571354903864,0.6631681240191957,0.673577233357189,0.7230676852940677,0.7061902997369847,0.7093931817324209,0.7226911997315014,0.8511454147834925,0.780734282363046,0.892133826644761,1.0372717729071061,0.9452274517764542,1.0128899654248986,1.2907237161322858,1.3679170644869354,1.683730105160493,1.757853650638338,1.1648284215422202,1.1743879224396165,1.6159759189660416,1.1804669466670907,1.4603490752387178,1.1795178254077483,1.486510260534613,2.4627019223488,1.7357455262658197,1.6845022613363967,1.2587212088897826,1.34106674135029,2.4212817060956775,1.2217398009909441,1.1220166654159287,1.066923597622181,0.9993390056115885,1.0553003363135112,0.8984232132030218,0.9081475906380462,0.8000790614658821,0.9139959314979184,0.8688904898278066,0.9933707032861672,1.2366843929726674,0.9511867346162954,1.0242964711668952,0.8063275344829721,1.1865004421314633,0.8320801041284739,0.7894884646866789,0.7944928725278656,0.8150018965362615,0.7779091381447891,0.9235608706874884,0.8981253512890339,0.894607233606542,0.8426056274253593,0.7663030145429998,0.8060917849497626,0.8302310795142855,0.7582010040150071,0.7768402107114037,0.7565910771754061,0.8900344166614651,0.8258061207683398,0.704148934936971,0.6827913599140263,0.6974597174661666,0.7085221108207486,0.6407049921455135,0.6241928334899086,0.6530337885484057,0.6353136469970695,0.656302420752433,0.6523175696010717,0.644278890281836,0.7477732274532837,0.6518499917844078,0.6485397854079871,0.7088793148063075,0.6027936022537578,0.6618608795017441,0.5878625577760674,0.6174969876334337,0.5885028292858694,0.6309899440789872,0.6701678299886009,0.7176864094028399,0.8037080995640041,0.8248462044510403,0.921023509246335,0.7977004284437981,0.7710375642542269,0.7473339413961819,0.7574434893547264,0.6601524351039155,0.5768104755575216,0.6233194094041731,0.5945146211956938,0.6098821711493083,0.5761932694470714,0.611221735659998,0.6039006359569625,0.6145078488167365,0.6847200315133636,0.6565428347409247,0.6782664304485684,0.8666640059161361,0.7143812621803233,0.7378051307158682,0.7467079250618394,0.7673394828442869,0.9545615815991272,1.0679961529184354,0.8548154761003229,0.797773507565798,0.7763599803106058,0.753175566161612,0.7232862842495277,0.6628985256557399,0.6249481426282951,0.6212746754685222,0.5812500154102835,0.5670243389755583,0.742624069419365,0.9875565674211328,0.8363014287053021,0.6104221281973881,0.6181351515273007,0.621191027247944,0.6314968900971157,0.6198301585309415,0.6404470177350183,0.7000693520838882,0.7557198969536709,0.7552235859152859,0.7639566584632863,0.7908912001954528,0.8309858773581787,0.9968668690314348,0.9205652882843122,0.8771758257131264,0.750757860780817,0.7354903443962487,0.7233151218045633,0.7185215067374884,0.6972750687417961,0.6223956172158503,0.6762396305226076,0.6311989929148029,0.7418648024947115,0.7273897491094575,0.7175387015005465,0.6255702566609117,0.6694314174480783,0.7481793382479753,0.7705813803998482,0.8848350304820177,1.0583984009366056,1.2949264120788555,1.3276647839902966,1.5023002650814534,1.3814046370658355,1.0272300526754172,1.0653685817400291,0.9519558936783028,1.0324275341167617,0.9935142341881114,0.8325465535781803,0.7683633904352127,0.7178930397084988,0.6779771432728159,0.646294356429913,0.5612172139249635,0.561512950123648,0.6275590427200425,0.6243151414552264,0.6154253782540401,0.7392209041816974,0.7534591927281524,0.6879424865784519,0.753386119745332,0.8528960268473935,0.8605565951870747,0.8463280906929714,0.9905899221348714,1.0825556905652864,1.1641998238848175,0.9840810954044154,1.0119476290806655,0.8873286152563361,0.8780300268951737,0.9883518257132351,1.2319115761741872,1.2400502245041558,1.3948406344031063,0.9129674304989783,0.8102498391720718,0.7681684560277612,0.8936358507369495,0.9041581998319455,0.8353087637279687,0.8998650610842416,1.0309172653581242,0.9629778844770487,0.8336581889132293,1.119156809455479,1.1889955875203058,1.0364644890733756,1.148169733544731,0.7992408619184804,0.8286006969372487,0.7819869171475582,0.6957809189592392,0.7606384661525176,0.7503132945263703,0.7485399554237232,0.6855266095724435,0.6731489091131367,0.6538437719298636,0.6516363569191799,0.6125389417462886,0.6346744317198707,0.6833530892919591,0.668340724010919,0.7346105658166989,0.774078225937134,1.0242187284600741,0.843572582739749,0.8283316877838275,0.8069192289402278,0.7481612357970693,0.6722543032391533,0.730065906374995,0.7888172346228534,0.7552383703034723,0.7415123227673205,0.8338905116717983,0.8986452085599306,0.7943382520811932,0.8842491990667835,1.1895172223916857,0.9445881493845341,0.9125008297469663,1.085371672072802,1.183837133200741,1.061329629132033,0.9438219738611423,1.3060956408288231,1.2509299435947028,1.0875624141349844,1.1484844137580268,0.9690711973680858,1.0043246089363953,1.3756462596477304,0.9566295178552158,0.9016597041433283,0.7411832312921421,0.6716337193498416,0.6246023936307766,0.5965715755524208,0.5691366566533083,0.6022312468955098,0.5818137999156335,0.5657060752663678,0.7229480075395958,0.5826464786594221,0.5908774410572754,0.5399045286212509,0.6896215778514321,0.5517967860750593,0.7476815953907151,0.7543742368559229,1.3487593479733144,1.4545946382897523,2.4553105304870058],[0.7993571214687958,0.7835056714992952,1.0500308037222648,0.48797480352734635,0.582921212429617,0.6024319614356831,0.4992516924857532,0.5184369069440479,0.5037628350756467,0.4634786311187543,0.4615827825288618,0.4955357716342646,0.525450215343152,0.45904723880038184,0.5284845203139251,0.5530264370055253,0.557382524642395,0.5947229488378664,0.7198025461358643,0.685136501246324,0.8064428734830693,0.8888845207947008,1.187720160077165,1.3260534284116579,1.4511251271902688,0.8843122116048895,0.7684680320292276,0.5897296164046671,0.5895386101102176,0.5291359580907542,0.5790302505992858,0.5425909083387565,0.5514112408569111,0.598662170393497,0.5939054648469362,0.6048854010373457,0.5956400318407374,0.7403956590943677,0.6720869831036569,0.7569734876265304,0.9170679169859951,0.8579386180845201,0.9237025023311299,1.208725103199079,1.457551281453053,1.8406100909160743,2.0560667675570605,1.2481139142502662,1.2288536451826237,1.7735771523793957,1.3782455297198142,1.5759403843440443,1.2224985489542464,1.4566415907861923,2.330726939441297,1.56666563110386,1.4562634629184577,1.2821755019299574,1.2092813437023082,2.204347029888656,1.1112498488451505,1.0078441852721294,0.9829493939895043,0.961022321556837,1.0046284856952208,0.7999865603113877,0.901270345205683,0.6663414937881537,0.7767501296973128,0.736770587462629,0.9088619855609286,1.2300012454946032,0.845146835144045,0.9396532893003047,0.7140196560396032,1.1753597007849952,0.7087843948775617,0.6632552678009207,0.6851327952669041,0.7915363927184506,0.6756088840974596,0.7982812795240208,0.8853921156212323,0.8586242206326099,0.763268697711611,0.6616335786079937,0.6978352948761998,0.7247464511504706,0.6640457479120294,0.6696673502366682,0.6306197789349473,0.8524635518326319,0.74657822076927,0.5948387438809316,0.5655737693819707,0.5985994594786341,0.6009632053305927,0.5182107120404965,0.5062585196896876,0.5686967938789805,0.5562382657549324,0.6257878799834818,0.6146200746502658,0.6282260326916159,0.8298050707037027,0.6938925223093352,0.7200292439982371,0.8031638383132921,0.6923984833047141,0.7020082487846618,0.6110846283659032,0.6233059559882376,0.5534643680163577,0.5326116084525122,0.5428583087743238,0.5658247288233673,0.6136969716760943,0.5994989741469627,0.7401578650134096,0.599535825795032,0.5730420771623361,0.576520099996058,0.5906595268115316,0.5256998778951483,0.4814977857628444,0.5279071569306291,0.6033077386235356,0.6233095292782344,0.6273702557030939,0.6894310287908509,0.6960423685515545,0.7377243468438516,0.8084967493310571,0.7461787444019752,0.7483130529852664,0.951295466422283,0.8044219024214243,0.7283807590406978,0.5896327392507715,0.6109124736635779,0.7127204091539514,0.9460833400220009,0.6556442653964393,0.6192844565780675,0.7086702938607906,0.5862922881746853,0.5661052646320499,0.5323786399405699,0.553352742604619,0.5539196353177948,0.5434378277252266,0.5148223224837247,0.7096231218828429,0.9446823579578962,0.7939404435354933,0.5426332607498309,0.531371417729292,0.5788478241351611,0.5734974112780807,0.6134714491802141,0.6222744603992157,0.6103900963990577,0.642146549710103,0.6688645665528775,0.7494619488026862,0.7769539067253556,0.8648809097912673,1.0497111614577488,1.017799716180792,0.8504617665035504,0.7890017456786292,0.7200637769020692,0.7138652450424325,0.6973527006549817,0.6616483729732474,0.6283566277532645,0.627662238012697,0.6240838557826006,0.7132435216479079,0.7518931031644499,0.7286054905069328,0.7003317664837027,0.7909431858325228,0.8332747853342718,0.7879494421462364,0.8476234877324291,0.88590775847146,1.5104695279011227,1.4519380080444524,1.5367900453105734,1.3810599930786702,1.0853478526864706,1.182900423496939,1.0927686428611347,1.1604319067239517,1.1357576025099096,0.9654060821444781,0.8984176598642913,0.8389909889690411,0.7571676905862627,0.7698356289032797,0.666973566056362,0.6503459989171094,0.7200354045993471,0.71487022150012,0.6811731124031141,0.7534768828095366,0.7828989176209551,0.7321010303892261,0.7650652718074188,0.842331236478253,0.8589816827469857,0.8464877210828575,0.9809405118923484,1.0514799373971717,1.124914604158474,0.9668135435248458,0.9849286717003989,0.8984587902424921,0.8905573668620455,1.0602603948873242,1.2716068109114282,1.2782455230928553,1.4128789396569266,1.002598627799457,0.9303507320290543,0.8817890152188141,1.0247395716965155,1.0478004887072676,0.9660758086133414,1.0240431863245638,1.1697881677930737,1.0608630512416033,0.9710272905353672,1.2874974722390902,1.346376660223998,1.1534272234569374,1.2311551056680232,0.9321293513326301,0.9619174663271582,0.9139454873939117,0.821237475620922,0.8683269540088255,0.8491041323399331,0.8350979671626474,0.7904762572567047,0.7768520556733466,0.7423313063192074,0.7227448838242045,0.6942867948595198,0.6986429832917215,0.7125154405371666,0.7089323264159333,0.7831422612074458,0.8000896302529235,1.0226173665392075,0.8608582174973857,0.8574524721627285,0.8327130558200234,0.8024320519507061,0.7567221654118729,0.8206695305325261,0.8464461204730498,0.8096974394242198,0.8376409726168085,0.9041101444466971,0.9420716459279749,0.8666534503875286,0.9690385334461027,1.2194900052386952,0.9619991217168413,1.0149425872900097,1.1747934334461196,1.2453584775099966,1.088556284751853,0.9390723927623305,1.4184261678324739,1.2569609054088406,1.0822048004144151,1.0977758671295885,0.9347242653385942,0.9705542551292833,1.2894480225492437,0.9286101626449841,0.8820770671240028,0.7012897051162565,0.7066479763001192,0.7111719906084044,0.6849485951964539,0.64539926713212,0.6614850197050248,0.6325358771567274,0.6333370968287434,0.7614082789064621,0.619002836861774,0.620308799212478,0.5660310333964776,0.6914305520357866,0.5467662980421366,0.7349983008962686,0.7394266192641873,1.341900707162138,1.4414575002340821,2.47095427370356],[0.6720811285953082,0.7110199979247036,1.04056897470866,0.4654547249547187,0.6319652349605792,0.5786314501825358,0.5514157280709685,0.5952874436482997,0.5517495638755197,0.5501692567664163,0.5387727117701145,0.586277761846698,0.6460850470501981,0.573948328409107,0.6607719649568595,0.6840774929955481,0.6821888406652871,0.7228928662858027,0.8163500637687449,0.8856240595290431,1.0210366251799556,1.0732428218989656,1.3252537813597303,1.4395146289368963,1.5911541808458225,1.0850943078620532,0.9667005902843516,0.7552076167901963,0.7436313839167791,0.702832939452186,0.7464429414899638,0.7063656876886472,0.7107413070721015,0.7619702492053487,0.7777979913295158,0.808988494271357,0.7596270068849322,0.8951721974364804,0.8739204088443199,0.8380124215318274,0.9469718853765456,1.0131978628587714,1.0567822933079694,1.2501310314026335,1.69919267350436,2.1295105913484953,2.431673436036335,1.5206023807961317,1.4163807036879936,2.0338707167308754,1.6717715466259657,1.9993339523726668,1.3417525673324249,1.4095293973682461,2.0512077507598283,1.3801315210136607,1.2869339609343589,1.4681144122470808,1.1394879317240005,1.8569712118818344,1.12233234486804,1.0669081945741354,1.0740412739677632,1.161841282756804,1.1238274800663806,0.9847309026322084,1.143281263763717,0.8475456029076165,0.8899891452890911,0.8281369759952834,0.9790870022167065,1.3363862626369385,0.9313270028587137,1.0393311114433799,0.8860490169215174,1.398016575048132,0.8774533098711184,0.8527905031619153,0.8884351869278999,1.0825782188637558,0.8567078858764577,0.8994635847595773,1.1090355095230995,1.029813395235522,0.9519761177331743,0.8287973940353213,0.8654817233730722,0.8648731540971785,0.8806509776881557,0.8483444323895976,0.8190203544980218,1.0735414536546863,0.9459377591705742,0.7699905500815734,0.7220028246303366,0.755394358681923,0.7334531399483833,0.6774756634716327,0.65031624199393,0.6593966480928222,0.7081184007530225,0.7298606292667136,0.8002905096859946,0.7638349145342269,1.0192679983111663,0.8604374333775023,0.8267786805496882,0.8852866543375367,0.7803812475129993,0.7952246918081279,0.6698257197690117,0.7481452243867779,0.6728177564539713,0.6684767432223673,0.694578387765936,0.7170254617970647,0.7298634886876408,0.7052133837475721,0.8127744141155724,0.6899328073634724,0.6506188778765537,0.675246090656357,0.7013152920824671,0.6629841207301485,0.6021306585580923,0.6652760841713427,0.6721724632560574,0.7445438968531845,0.7363516990912241,0.8587671190335312,0.8233290529674024,0.8740029365838443,1.0023809656307152,0.9539699771404654,0.958306627876777,1.1726725499142905,0.9793422727890229,0.9521425854083593,0.7884301352029977,0.8056366698161375,0.8003466376561482,1.0761376903188942,0.8104776670678785,0.794340655024657,0.9583697557451308,0.7440665519312831,0.7375202892603163,0.696710322752097,0.7067497206681111,0.6826175472425372,0.6167170908347392,0.602087596936158,0.748693856731028,0.9882367643035014,0.8872914192836624,0.6250604460395556,0.6293282231420073,0.6766217351614248,0.714407061651266,0.761482417767131,0.8234780724791386,0.8109866249929247,0.8537487152249172,0.9048741335355015,1.015694471155804,1.0884015975118042,1.1043416659843994,1.2581457860063778,1.2358356436476723,1.068955290299717,1.0160454129461098,0.9606259087678849,0.9487733342821859,0.926323203551502,0.8821025139492117,0.847759137479891,0.8053280710018476,0.8242337890289287,0.9187249849366618,0.9482302217585565,0.9886214410321674,0.9521656377021995,1.0689589814535565,1.0920683131992657,1.0327715443201706,1.0599358000685943,0.9138616254957433,1.897396373962971,1.7377048648601876,1.6641200221078787,1.5118765173065205,1.388781487208377,1.4452945760145917,1.3445319122308665,1.310436824234169,1.2387043834962255,1.0294659986826975,0.9498498623289658,0.8779661717393006,0.7908564189579055,0.7867331461309595,0.6823566372519744,0.6727358837787825,0.7313992255033956,0.7095735265839213,0.6824847240696267,0.7707252590790339,0.7698575687211427,0.708015291985721,0.7385304396744814,0.8010663845741286,0.8100091101095428,0.8061927755560198,0.9272257993993042,0.9979055604711968,1.0666620158280171,0.9377315365410058,0.9470842015016241,0.8622272550623785,0.8510450058036028,1.023753063412805,1.2352533933789356,1.2643396612760402,1.4204849516217912,1.001531526734615,0.9427913782617333,0.9053109055975888,1.0395703379676715,1.0491204569944035,0.9828050791848212,1.0576445680319424,1.2161251335365038,1.0932521715869645,0.9958386692239815,1.3270055153395013,1.3406337396575836,1.180089246041476,1.2587421410974013,0.9447273119453858,0.9953441411682671,0.938923196057424,0.8464212014165198,0.8945141832398688,0.8405589065984898,0.8619939928016749,0.7827614640950071,0.7419449533858102,0.7376079171744347,0.715187975443648,0.6931040958979681,0.6875667158545339,0.7113254359406407,0.6924071432248762,0.7502652863956192,0.774598494298396,0.9950843139302832,0.8212116324364496,0.8154777822143982,0.8020346604746136,0.782244619937074,0.741627998141496,0.8088541982022245,0.8207684015264206,0.7915165964342634,0.8299972580125957,0.8945605405241318,0.9300467182642005,0.8745064076518956,0.9840769502900356,1.2234294798534593,0.9662083191942485,1.0225634307588765,1.1906773445913736,1.2441394642800891,1.0848971470400792,0.9209518026408147,1.4088494259677808,1.2468935281834281,1.037744564275023,1.0318208317388158,0.9029098721837971,0.9221215736875976,1.2037632704335193,0.8779811377699053,0.8605940848680633,0.7399225340530496,0.723419621048593,0.7347547445020486,0.7237469762829558,0.7346380239431086,0.6805537653453201,0.6494101423709758,0.6518626939310942,0.8510261271310986,0.653502788605884,0.6198968154265593,0.566830618378727,0.6844951039391699,0.5377446751359647,0.7270906243941144,0.8008826117262883,1.4988741596456998,1.5992804168725605,2.755893726807893],[0.8307470455098585,0.9192659008767966,1.3680993966608577,0.6381589750269956,0.8306556489682646,0.72427480028511,0.6740381651543115,0.7148027778602504,0.6193421372056374,0.5520380391856784,0.5326728492449018,0.5951700088793553,0.6144175828027322,0.5218082063791623,0.5923302645692886,0.6134628009184525,0.5882610258249642,0.6175408214666028,0.7324600206926118,0.6995765363124034,0.8070086818060815,0.8752511720681784,1.159735230617334,1.2919886581444258,1.4471745245281338,0.8840655004825091,0.7787996480023509,0.6068701684675735,0.6198434807441116,0.5968293442430165,0.6336278445938827,0.6280861717297235,0.6363219655872404,0.6619321930786264,0.6620540797548295,0.6632510508071232,0.6580680777627849,0.764280382016228,0.6949577288904637,0.7042120285971741,0.8575350767329215,0.8499026108392411,0.8954182105908438,1.1516227698463262,1.4305151524685848,1.8302582900245008,1.9957007429637987,1.213636576748956,1.217292463483665,1.7701174389552243,1.3521216599697752,1.7255589308113009,1.1314481945024555,1.3494785165976158,2.1472520010934604,1.4229872735119575,1.341408711430189,1.2785720344428477,1.1024290118374453,2.0696345459162053,1.0528018610543275,0.9700678317689052,0.9730558189522243,0.9511086840442929,0.9869517949331325,0.7992642805381723,0.9045621358162241,0.6827022187289079,0.7934474021982398,0.7597352498382928,0.9467641593315265,1.2791545498456667,0.8628678595714327,0.9588407454232862,0.7359942241381139,1.1818520348301156,0.7270315718697365,0.6973564897535648,0.7193694428382418,0.8431973294153579,0.699064434351831,0.7799793709205679,0.9845857273864613,0.9065497279606091,0.8043759597750623,0.6952714381544663,0.709532180451261,0.7502695291686514,0.7063916405504965,0.719415685619424,0.6750813770570372,0.8965048707730605,0.8094936607860304,0.6693543747056832,0.6353434566789563,0.6707099663292951,0.6726607526483863,0.6100083225760914,0.6244078912684307,0.6826387466965201,0.68407891514258,0.7725813184609652,0.7723030704908896,0.7912148919144731,1.0191171231543164,0.9080409774477116,0.897351184617688,0.9514193469910129,0.9066263376560255,0.897676130898152,0.801140910610514,0.8129629147582892,0.7435065552940296,0.6753192366348876,0.6370639091869675,0.6324640811416328,0.6300305222206235,0.601901224812808,0.7493235646602112,0.6162443418423168,0.5892517227922635,0.6078893361937594,0.61527398576717,0.5982322758401879,0.6107703201524824,0.7048502768342676,0.8043356393346006,0.8394596889221255,0.8460600791933389,0.912744656850429,0.911045409440984,0.938965117984718,0.99680731702427,0.9461941869006761,0.946778317058781,1.170519228423419,1.0528514044519584,0.9452644774926456,0.6997375590532394,0.6659598680415912,0.6730140023797704,0.9215256599856743,0.638078703167199,0.6228564854499706,0.7493756144932571,0.614015008853067,0.6200851089142366,0.6275861779726335,0.6958057982715011,0.7135603473642199,0.7044845208222218,0.6865626287373621,0.8413352213762325,0.98728966039916,0.894863629947604,0.6825048450741663,0.6626408557414555,0.7347239185907979,0.704055190504332,0.7776884084740509,0.7730919312620943,0.698218895114246,0.7129238965091774,0.728548179294088,0.8242269417069847,0.8717556182037287,0.9312871659547706,1.053667635253052,1.1075210093646093,0.9592377328255064,0.9379381671025826,0.8599766591651935,0.8304580033677863,0.8181889935052454,0.7749168052820614,0.7767282236289925,0.7347792402226883,0.7449018805334798,0.8044513152090248,0.85624510096042,0.8553066591672401,0.9071656529679332,0.9737055019855945,0.9641898571776405,0.8885492317819547,0.8613673317293922,0.810468616471881,1.591131328000178,1.4415122368266253,1.460754480046222,1.3373777636957258,1.2046239887199321,1.3038374130985142,1.2564790311443195,1.2530492397936535,1.2010298359812466,1.041557758564926,1.0111812918079581,1.005121419015926,0.925875689434194,0.9507166723902785,0.8736890886590158,0.8696113226899271,0.9477214120518173,0.9318562883915474,0.9214997789750068,1.0292542935814055,1.0136003065593204,0.9427529683248409,0.9711584248272788,1.0207632519440233,1.014707206821775,0.9988826305005277,1.0770089987236071,1.1572437361426196,1.2774497135758238,1.061595289198777,1.0971862206631313,1.0470887670109212,1.030177048354989,1.1228837448651012,1.3163470987675696,1.3655905126837524,1.579997257303159,1.1691137871286965,1.102831387728311,1.0487726013646896,1.1213458037002777,1.1372980124799639,1.113098124140197,1.146865863629934,1.2810937766227515,1.1709289714552065,1.07276845666636,1.361114898181142,1.311462453450883,1.2310619937631486,1.307025702328206,1.0429016346687856,1.0716480425809143,1.0316354722861962,0.9972125475841652,1.0335961168910857,0.976091755018755,1.000736972625462,0.9264618535622589,0.906636865549535,0.9153107279240829,0.8861095805600177,0.9172037626362489,0.912185415617875,0.9172891068980752,0.9142708131845686,0.9666392802831535,0.979488371640093,1.177954940837663,1.0314778420015491,1.022921167530198,1.0267713200712247,1.0025718286102687,0.9579177152144972,1.0012481483652969,1.0282772447506177,1.0144789976559734,1.015797347305643,1.0815064855539094,1.128792618083294,1.0738379094364912,1.1416596337803906,1.3629545917781414,1.1591042638252171,1.1395979751933467,1.282841569756909,1.3204698029919535,1.2001240016379937,1.0589023836239375,1.3426149027069887,1.2600002601787121,1.1273975997480612,1.2151155697923484,1.1336025495363555,1.1519149823414585,1.4544088912158573,1.127637096063335,1.0413460102975722,0.9828274109373255,0.9264175830239175,0.9627612182247929,0.9051604257776329,0.9311925564889602,0.9217656887877186,0.8294226106519644,0.8650655708403165,0.9951624154878533,0.8410345410942524,0.8567491190526909,0.7899854824195462,0.8167086680985609,0.7402758892436383,0.981523157929622,1.0091648486861455,1.6183830608096372,1.78432503930612,2.975692635053828],[0.9809547719498009,1.039616895669893,1.4742952427855784,0.7088486089067955,0.8721679722695568,0.7895929035208962,0.6998458973207063,0.7457843542640984,0.6485778250832119,0.5778188796999391,0.5675786039789512,0.6212655740603307,0.6349626184871145,0.550044703276932,0.6256268093791753,0.6488496588752599,0.6252023161182472,0.6811013188063302,0.837046451905391,0.7547483107266303,0.8827923979565204,0.9668221345129212,1.2713128233931288,1.4168283584591217,1.475270654764434,0.931327490939429,0.8415542122146706,0.6744815773119981,0.6675285105451165,0.6312942871111298,0.6663853460132333,0.6586971691159057,0.6698585120263344,0.7086266012562743,0.703582935277099,0.7032852571756173,0.6938759869954301,0.8226580085221389,0.74062505619593,0.8184366953656481,0.9821706768799677,0.9388073457676258,1.0088002487515377,1.2982499341030507,1.4725988909309513,1.802133135874039,1.9893621772594328,1.2684870351317472,1.2527729365540758,1.7500373213525813,1.3878791230841812,1.5556520680474817,1.2721282101735905,1.5242440099957097,2.350639604088065,1.637349278112713,1.5393861114819578,1.3752505937293542,1.30851179308807,2.3249760957382994,1.2237169641282324,1.1370942547148641,1.1134304027670106,1.0546938446871004,1.101299673672684,0.8874492185175704,0.9402010048631565,0.7505313843040496,0.8749475979904424,0.8209001832965672,1.0101586242936722,1.3292023615527573,0.9199299850913566,1.0275511267933277,0.7830342293553313,1.1661289559694874,0.8016543440317477,0.764321918064812,0.7827553233885998,0.8772675866061677,0.7629284136992447,0.8636652873764755,0.9387741228591406,0.9474927575387779,0.8401694128897566,0.7483686338189742,0.783942984082674,0.8067963764300419,0.7573224368499492,0.7705721316760042,0.7282368399291188,0.9122402778652262,0.8401150233823582,0.7054373376018849,0.6702591930331003,0.690422195410773,0.7066714427396497,0.627902753682951,0.6445519976664844,0.7121942652047965,0.6961789982486005,0.8173984176267929,0.7789563517191924,0.8148609185348739,1.0384119532449883,0.918827452754988,0.9394269641592122,1.0028190118959177,0.9557041364042735,0.9389325833953632,0.848766197496508,0.8196952288820966,0.7497046374904945,0.6730325859002281,0.6413276836388847,0.6552774818097471,0.6828966349226612,0.7028195896125947,0.8475382764084944,0.70485954715565,0.6760165750217468,0.6578644430140014,0.6464019726787734,0.6038451269616509,0.6086148838966087,0.6898146993559932,0.8251504007750696,0.8425467698310722,0.8776394259206911,0.9244686013005865,0.9538404807161456,0.9915608345280642,1.0219299522812018,0.9592081202311168,0.9375735923247042,1.1327219920518845,1.0597261156286233,0.8826728162044083,0.6478949567056544,0.6799335324314559,0.8241518687647139,1.0275339358427031,0.7460447678671417,0.6991560945703129,0.757618180645597,0.6747212495919622,0.6539150637228055,0.6396797241003188,0.7028247638344566,0.7194104477176771,0.7334180443761464,0.7116960937880427,0.8795466757640198,0.9683206842608458,0.8775913430702874,0.7141190579125167,0.6870847503559271,0.7704355639834052,0.7248485387281907,0.7958428537510078,0.7703624161215796,0.7174175384167046,0.7258788334459527,0.7441505686428422,0.8307400613591412,0.8261293541254683,0.9337368453105747,1.0733565410725543,1.1165261342315966,0.926685789092121,0.9270078809879473,0.8354350718577951,0.8234208325960175,0.8146140524526525,0.7776784171515759,0.775692456624066,0.7592412645597361,0.7608548144547193,0.8255754594029581,0.8819230213976565,0.8497393396446301,0.9038791622340898,0.9800343314967301,0.9763985259282961,0.8927846341188402,0.9089423638291175,0.9111213505539633,1.586370633701863,1.4691527998384228,1.5391868041296646,1.389874204538832,1.1705584961747095,1.2924974993395115,1.2588267946308451,1.2982376355128544,1.273507170075515,1.1184073033732276,1.0942534549315541,1.1031431383315207,1.0062723227121537,1.0639277256700383,0.9756743942314919,0.961482681230804,1.0640381596012594,1.055937758453978,1.0312696639161534,1.131641927917623,1.1429179816206363,1.0677067133229068,1.0855582065070828,1.14510681768659,1.1446763716973039,1.1040133734562123,1.1772055589306258,1.2783203785097814,1.4074767962935457,1.1833880361095597,1.2367421828280294,1.1922479961146193,1.1787356944050764,1.2710955558426043,1.4211070910234729,1.4949785090345251,1.663914068456801,1.307953297176688,1.2345020502577402,1.1560113436005106,1.23538195511358,1.2817675897015415,1.2388670708249314,1.2570688072345193,1.413113560673377,1.292079452218146,1.195435500649329,1.4638153168893182,1.4299617305515417,1.355656851226145,1.3654670704906418,1.1627411245135415,1.17570720269699,1.128859312916612,1.0952910008753027,1.118591384672418,1.067755916526996,1.0628199220751857,1.0173700300828163,1.0249230271693732,0.995729392110232,0.9607016572735908,1.0176274929767246,1.0105032812323271,0.998227607972869,1.015422752226496,1.0963722186512241,1.0888286528174629,1.2716836428648814,1.1556059861377173,1.155457725189937,1.16178599033693,1.1412274494286865,1.0927459091504481,1.1420690339534607,1.176233302632311,1.1550189560447592,1.1572889207424704,1.2312473304514968,1.2793968737982688,1.2133136021387678,1.2896018783493197,1.526183138800209,1.31126828425399,1.282196015754283,1.4301058568519378,1.4791083743048419,1.3403685932140765,1.1984730202408818,1.4418427764399224,1.3301384086962575,1.2866047400090193,1.3789766119050486,1.2687691932288343,1.2835648010509684,1.6066034448122462,1.312628889875217,1.221019322613928,1.1414616205487358,1.0544246749182133,1.0877699579863604,0.9873536524881366,0.9889307030925998,1.0219152136236287,0.9002549614385932,0.9462009469925925,1.0095967459056394,0.8962179645768072,0.945013137505016,0.8743684041936461,0.8540317714907982,0.8201516653506253,1.0887615717947863,1.0582920505534736,1.583957901709545,1.7717086516988731,2.909162657072801],[0.8824774144414862,0.9551547615276182,1.4164106394166793,0.650674572533766,0.8930633707854724,0.7891369368851753,0.7558953183632726,0.8262528674389871,0.6930909897383536,0.647661667097891,0.6241028486045359,0.6957023438299798,0.7489943432370396,0.6160152982759004,0.7109477191951903,0.7530879559143677,0.7168638769072888,0.7478977123989605,0.8456810580027516,0.8838077564444509,0.9959129142042586,1.085389440771099,1.3344689218348655,1.480085469561399,1.533885753036725,1.006961176270797,0.9611048804130735,0.7771611310682327,0.7904291543983946,0.7879166895971,0.784576382026546,0.8070702876521371,0.8101956007091038,0.8388167378418697,0.8666315016067809,0.8684588047458492,0.8721444048520157,0.9843887059485477,0.9385952209936393,0.9428971966537204,1.0375074473275225,1.0670760184171881,1.1301202165429243,1.3583970851702438,1.6899612873422818,2.0758441961888634,2.387825550755997,1.5435100732297213,1.4444376142205382,2.0509852488249964,1.7656392608104676,1.9036099815185736,1.4282734596001423,1.5410876807200777,2.2083347880501267,1.5510576357146002,1.4513097247333786,1.5866918707413238,1.3020468700554473,2.0846191652584225,1.2495873361131773,1.1993476444797295,1.1933960616245627,1.156134318496693,1.1819668473992047,1.0013947938806762,1.0812808178301094,0.8457499200534812,0.8775556225407027,0.8332830411603145,1.0058087600413794,1.3607539004580829,0.9217939754662662,1.0473306033187764,0.8642289497045197,1.3141978238967165,0.9107652462628814,0.9020804749822824,0.9590533848786194,1.1289163637657447,0.9601029054367557,1.0179438054905658,1.1755761251532106,1.1833255855263654,1.0690557009986155,0.9559732798132836,0.9597689065800017,0.9606628519571038,0.9417729858835964,0.9179930810661133,0.8663967443006179,1.0507681218161282,0.9676902489765119,0.8248111978698242,0.7724779825174085,0.7926391737754741,0.7735108962481879,0.7556932567869806,0.7707604252923149,0.8186321009536596,0.866676277424099,0.9828258012317013,1.0017988636796027,1.0335289683839874,1.3259918675862568,1.1672404111602666,1.1797700014970915,1.2200322171796607,1.1357707973184101,1.1162048328260132,0.9853233620913179,1.0077702039491152,0.8894597097614986,0.8421677296861483,0.778562420805735,0.7764457229101446,0.7516251633493568,0.6927416309609344,0.8074131662467211,0.7083347679137093,0.6504085463202476,0.6775687672298218,0.6786020604790609,0.6911632226988862,0.7044172783624622,0.8480276083306865,0.9264659226820343,1.0081459365295484,1.050690540699027,1.174256843894738,1.1807286983138225,1.2582964544197857,1.3357055302938452,1.271913831666365,1.239171778592434,1.3813884115717685,1.2662240658724955,1.1260531192668615,0.8348887726399118,0.8857791420884886,0.8039917910642427,1.1073267236134148,0.8110936339834828,0.8298048976188216,0.9705755553893675,0.8297874485185956,0.8226354094377558,0.8234121781526035,0.9017994214314825,0.8677484873572697,0.8704067432812655,0.8166472743748939,0.9752460143096383,1.0171968632646378,0.9652986876993797,0.8334305274532678,0.8202219164632111,0.9317130211458673,0.9058599918686163,1.0103602416586683,1.0341755633073144,0.9477558220418953,0.9723531011745186,1.0201716658051805,1.1621639182440628,1.1906901839641775,1.3034076029334882,1.4192270920878318,1.4842526748987803,1.2774449330548883,1.2702386381848123,1.1505632175208715,1.1427221549218565,1.1248183203688682,1.0648444260822405,1.0687120292724037,0.9844387950055496,1.0324199459849988,1.0949579151321656,1.183785670438244,1.1930926535289803,1.2416112888274968,1.367999793837949,1.3651826423466915,1.2711789436334715,1.2413388344087832,1.0150128958041353,2.0063797803276784,1.8052296864712205,1.7548750512799576,1.6185616363691708,1.5391173642964302,1.6567838009835196,1.6133715000292868,1.592032203764564,1.5434047601497558,1.3447530248930335,1.2970740191693368,1.2422951158988262,1.1374057886566546,1.1713695741632002,1.0779419100004046,1.05076483361937,1.1118529638653571,1.1001733500515045,1.0569376035129683,1.1104571186175223,1.1222898994601254,1.059963934473672,1.0408341352117048,1.075983444262477,1.0798144096539104,1.0434684605960443,1.0970748680105522,1.1869897670559642,1.3146669086577014,1.1108965597660767,1.1586105286534847,1.1387338718018636,1.132058953443075,1.2617750214817376,1.3983518748599295,1.4988361429707622,1.6795652675200061,1.3691965722713058,1.3285054031531354,1.2701895250728896,1.363325118666291,1.397301200077763,1.3371775047234444,1.3933830751664575,1.5621385816623967,1.4056359309712128,1.3354976269314403,1.6403427275952562,1.5788596149296936,1.4651325710429317,1.5004186389089875,1.2855098127661408,1.3497117606643523,1.2928225956771453,1.2234023784550985,1.2642728235062712,1.185435968211167,1.194328145297566,1.1393640751691483,1.108300793418268,1.0863963726961643,1.0473168492854712,1.0775375545382235,1.0524437660127266,1.0269847659790508,1.0220752765411696,1.103320814505481,1.082206405796317,1.2476281043797195,1.1206671907775454,1.1280407524845333,1.1386393486454436,1.1533432967439023,1.1390830335185473,1.200533700858272,1.1856959871294024,1.1594933506426481,1.2104955826151744,1.2559589041176848,1.2760690084589839,1.2454052355567917,1.347156103704673,1.53695086695004,1.3012894943666624,1.3406039182884644,1.4830453356569129,1.5003091839905571,1.3322971859760424,1.1551038438168175,1.4728065589683812,1.297009415135329,1.2171474978753827,1.2737025535202102,1.1855147601899645,1.1990844998976387,1.4928248662020656,1.2205008809269198,1.1440573228828288,1.1028317089798858,1.0541121524130137,1.1163257672540032,1.0858582820878226,1.090045112302117,1.0588309820982966,0.9847019138361762,1.0139161805991586,1.0885335013965882,0.9523213855286837,0.9511519525193163,0.8908710558421563,0.8733899946130886,0.7935051679330065,1.0450567460629139,1.0527667926771676,1.6188577938792932,1.8136225972437157,3.0057073933693266],[0.881262657958997,1.0102819755249492,1.5540791350998766,0.7591624310592598,1.073728236139433,0.906070078133871,0.906416082237221,0.9814089343435171,0.8060778226595262,0.7461277616858312,0.7026918624670925,0.7981020388903176,0.8527961762936194,0.6830346288004163,0.7713373936704349,0.8248689450115647,0.7835460446288641,0.7744224145213985,0.8366519631089939,0.893757244112066,0.9672963793218776,1.0441807531852254,1.279172280427509,1.4100403391263028,1.522939303503628,0.9944113207341073,0.9715079935998886,0.8180120015533302,0.848636137878586,0.88170512015726,0.8413324985262977,0.9006711036442656,0.8929015773289907,0.8986934111402087,0.9415424762561094,0.9326020123489518,0.9661278294113044,1.0368684157019874,1.010674044271636,0.965481629336666,1.0070330002769892,1.0473491101558143,1.0864949281799454,1.2776084805997419,1.6380236175898975,2.0492695718348752,2.295942318842791,1.4869029599095838,1.4303005621075768,2.03239349480965,1.6955778130870638,2.070507062912702,1.3809561899724205,1.4665086085784622,2.0630788600144,1.4001918782725769,1.3302548741564684,1.571527293641018,1.1899572521579223,1.9205006414197503,1.1595631758242482,1.1244391837554404,1.148242161434662,1.109810522566818,1.1244892319778597,0.9798653362645027,1.0596718750666771,0.8469540018617354,0.8685614739859218,0.836332814345944,1.0102842479979424,1.3730658862229148,0.9260593320945055,1.036267925276327,0.8680314402769502,1.3311838904969189,0.9130819374736358,0.9184892927669756,0.9842616855885172,1.1728055706379756,1.0110558217386625,1.0426613919379588,1.3205017903961291,1.268481425005128,1.1679041974172577,1.055737315303324,1.0035665916184093,1.025702474264988,0.9833105538203916,0.956815503346377,0.9064547000666331,1.086606661285179,1.0149070199900787,0.8810377982460492,0.8330888910205309,0.855971502089547,0.8375026823616453,0.8495012580432026,0.8872767579914737,0.9401506413754908,0.997517500486445,1.120920858480257,1.1616242412613136,1.219121065856319,1.511559756131965,1.374845353152104,1.3859345887855483,1.4095249663018723,1.3461496834229487,1.3145980711212235,1.185373747853144,1.21324387503122,1.071695639164022,1.0292292889310195,0.9017920261410741,0.8751061254288957,0.7942078502622149,0.7032665641717857,0.7877480858942564,0.7127715561605326,0.6540996581165768,0.6998674375509464,0.7031597107461653,0.7813875956003751,0.8430562568531457,1.0547582544413998,1.1214092193514311,1.236092748422632,1.2663173822401137,1.3962155724701615,1.3956979586810425,1.4627059457037324,1.5442215161901802,1.4843411276314686,1.4744271518058218,1.6057998685948573,1.4850268370824813,1.3950798570793854,1.0867579844372777,1.0775807132073312,0.8504079667725063,1.103013204557575,0.8300301786344616,0.9112166139099349,1.0740494792183772,0.9213663869059509,0.9464697975238784,0.9686155446235623,1.0735754438214362,1.031267188316481,1.0450835886537413,0.9745515362916483,1.1109166296895028,1.1370468592314291,1.0929025857910506,0.968625508649585,0.9577083651505793,1.0925280859115527,1.0544430276982337,1.1876322961046264,1.2308847679518884,1.0903735032098787,1.1355089257979818,1.1590658131003138,1.319035254207022,1.4049668383122162,1.4819449133099767,1.5247834238956048,1.633134129693141,1.5266627449208938,1.4997646201291541,1.390381832785181,1.3428953423403862,1.3195499505661044,1.2402689861902068,1.2480459602674023,1.1241206121228293,1.1829910037316351,1.2379143063482103,1.3258109086310959,1.3755377514005163,1.4548815317174626,1.561834439498881,1.5384079001815556,1.4562624064529983,1.3381148734083956,1.0645518643316585,2.064463533406858,1.8063904661541683,1.7333338828233145,1.6153042779074587,1.7261805795484024,1.8134395765671054,1.7899260534337917,1.7309777589961144,1.652733224070125,1.4881379853117012,1.4501740088080017,1.3959368201812294,1.3142136158334976,1.3307269130028572,1.2606012262972799,1.237395797542314,1.2740201938992484,1.2613321566007476,1.232681848075458,1.2789227402939436,1.262425933998766,1.2119052696237669,1.1875639111412848,1.1999249773886536,1.1957071784201787,1.171230450922153,1.194326578067372,1.2669697950798267,1.3935698709277498,1.1875425921298912,1.2265753618544835,1.2326955207766188,1.2211191262992847,1.322390558569625,1.4563524643347296,1.5665075738930887,1.7932756030131587,1.4793614738192695,1.441471573393703,1.4037790453593806,1.4584907207893458,1.4691535027954645,1.4410123669038353,1.5143869753842596,1.6511393404253623,1.4967869469075024,1.4404155350262016,1.7178278380867278,1.6003076201253676,1.5313197554952331,1.6088162780883906,1.4042865958809672,1.4836278632374482,1.4328450738890433,1.3817348509689085,1.4189936676133428,1.3302430573535127,1.3584363709218945,1.2914408014345786,1.2453895934047465,1.2634298026799968,1.23033975081947,1.2580210012102662,1.227173161550895,1.1987551200711661,1.1901639010844307,1.2522559328483602,1.2286774635018942,1.363149215483159,1.2446721000252012,1.2495832238342068,1.2650826292701363,1.2860184799931083,1.284487615293505,1.3304629354158402,1.3019495652160116,1.2900229797468419,1.3357078297612544,1.3609400201497535,1.3801187235198258,1.368102602280753,1.437702586263811,1.5962664890575886,1.3975294370016242,1.4184853430932196,1.5292298134961138,1.5182970794151294,1.3798919784763257,1.2147256272397795,1.4165586811946265,1.305766068782433,1.228864174246193,1.3214260829309326,1.2946731900346788,1.3003455446848455,1.5511730250986802,1.290212832536208,1.206477431628773,1.2121245702669428,1.1835508205396643,1.265991758126858,1.272600112293656,1.2980376929508992,1.2466338282833407,1.18723086773119,1.2080984238298964,1.305588800074786,1.1442573866170203,1.1205519045877304,1.0648188640745355,1.0149840674689175,0.934938582492541,1.179138662780678,1.2234564305049336,1.7759370180191827,2.020633000387333,3.3029981116285705],[1.3005521542464036,1.401892217677939,1.9412867392948414,1.1517630416544742,1.3705467694332212,1.2764818329529508,1.2476594912667618,1.2946550906855405,1.1763301539202222,1.1005273377513969,1.0710044389116884,1.1259120312784108,1.109605812631956,1.0220964582468253,1.0527299837465616,1.0628613013386807,0.9992682764185176,0.9774892010978111,1.0335973049354812,0.9688682371717311,1.0437187073642846,1.0928701827535996,1.3562778053123083,1.487466187165727,1.5214401709056744,1.0427864147339931,1.0122973109099502,0.9123155775805242,0.9585222051314471,0.9937119418322681,1.0117083781992111,1.033582635645158,1.034184109514321,1.0136139013811882,1.0022479020915431,0.9817609648220912,0.9769423949319194,1.0127755568814008,0.922176261418187,0.8769237137614333,1.042754491507641,1.057004608184148,1.0851341660323965,1.3334412797909736,1.486691951675581,1.7632224884185483,1.893261433312438,1.265571233701771,1.2466870951101907,1.6735682750260141,1.343243982164118,1.6000623968085586,1.2708150705806933,1.5307123593040124,2.3100051350196615,1.6313929018629816,1.5493030677303297,1.4652679470111845,1.3267522495512862,2.338349822333555,1.2842294645925263,1.2201660680292707,1.2314587750476285,1.1846060972311048,1.2201350908344546,1.034115221942603,1.112517674739086,0.9924888386575755,1.0746458081232784,1.0698194091059752,1.2134102175403705,1.485719221525324,1.117741818204444,1.188737747288009,1.061728893317492,1.309883140014354,1.0056013410812221,0.9854827036844899,0.9885436229912228,1.0474625300352498,0.9405161827231983,0.9608747893283134,1.1316287267572354,1.1040283005235665,0.9730860651081296,0.9388893229142897,0.9513381378562701,1.0093312870384588,0.9837795964899193,1.0051070307085872,1.012404500391944,1.1664993045897154,1.1512790680763918,1.0646024437489512,1.0593650536149817,1.097372777498637,1.1076920282162945,1.0531990523450796,1.1149376670410067,1.194608724959312,1.1400087268856165,1.2793502973841362,1.1898699440305258,1.2562377630163382,1.4263127975634964,1.3519906262476522,1.3454232300614464,1.3554284931952312,1.3824892331929406,1.3662028514329096,1.329346806372499,1.3073456128934673,1.2866703592681124,1.1950186808528525,1.1246055846774154,1.084787689393749,1.0027364762445614,0.9248160458161175,1.02518045730205,0.9627519631676317,0.9470677739852258,1.0176068323147534,1.0377419352279085,1.0932251646633098,1.1677864828944784,1.2555124924924446,1.3559904401812064,1.349097494993879,1.3313917737886527,1.332508670909632,1.3401728632086114,1.338392119280922,1.3161362518463136,1.273612184921693,1.2676055384786233,1.494812926318607,1.4796655296850216,1.3425650851312694,1.034728573133785,0.9932113902313967,0.9455306054839814,1.098895619928879,0.9070229122817095,0.9182411940951342,0.9657381279999266,0.9437583485905293,0.9928981466638226,1.0623801934764445,1.1687946672874285,1.2329162062824064,1.2450846735107997,1.2422443621113597,1.3463378792091247,1.3236441793600449,1.3098288386486479,1.203239238687019,1.1680897911204466,1.2598477122330969,1.1714352088350133,1.2373177311564514,1.17271333874554,1.0303480192302927,0.9996616378598194,0.9355056993109185,0.9718473701404235,0.9450108115641286,1.0664839904234045,1.1254326394234746,1.264103384838747,1.1661833112153397,1.2161038484048792,1.1463301100146999,1.0747196537497212,1.0890938874151341,1.0638708819749583,1.1250634268765358,1.101238426517128,1.0859480946328397,1.0647099148752142,1.1382137139664719,1.0809632976370442,1.2724821499860626,1.2477229176900313,1.1708205078361662,1.0803323528174187,0.9847898452887771,0.9226191580621967,1.6112025398787695,1.4457787101397828,1.477997145011673,1.3944368849316435,1.245080673792883,1.3867570674484628,1.4189935152508835,1.4407574271956765,1.450722714466522,1.3548350926518469,1.3580125735638646,1.3927508321711681,1.3576420583374254,1.3892642561803137,1.3655850164595436,1.377155985647326,1.4200324873824692,1.4171135579156837,1.4550528661032802,1.5171037487780734,1.4784380014346739,1.45058383078839,1.4881487883479911,1.4878078906294496,1.4793563157471803,1.4926873694484406,1.5208171537209556,1.5526446821240378,1.653735046375411,1.4322345772945875,1.421189661655648,1.4294122217264797,1.4206274945830513,1.434378492814345,1.55414822453397,1.628066287447928,1.8321180438125242,1.535193780360734,1.460009820563356,1.4140261286204803,1.4224795848445106,1.457723635249695,1.4633747595167101,1.4570360889708946,1.577376660360624,1.4557129578246037,1.3884924106911158,1.620441606494173,1.4972058417555685,1.4724592221212336,1.517218707966752,1.3922424591553353,1.4281341092878854,1.3832190364556962,1.3979438637642019,1.4216312639624982,1.363508561184119,1.387041534430906,1.3420846616306827,1.3496047106326081,1.374083934748971,1.357325220052443,1.4232047867920716,1.4189744600713803,1.4170337312474084,1.4322936877041912,1.4739784484885723,1.4805759813223462,1.6470671363351248,1.5185487355014005,1.4999288390796734,1.4925099457580864,1.465446554483833,1.4311053808005323,1.4330010506345057,1.4508486035118522,1.4645129020400702,1.4316658237958932,1.4608451500985202,1.5102382489876618,1.4649051414828114,1.4738072340199402,1.6449164219777226,1.5035441174664568,1.4395918841059057,1.5316126284265374,1.5455794930468165,1.4431773048927934,1.3508828173456502,1.4400219672931758,1.3961058386336977,1.3986124866525804,1.5555665188792758,1.5327921262582875,1.5993697517610643,1.8290495865235,1.5674422830161456,1.4212198727354273,1.399102737103309,1.3500785408648288,1.4723080461318154,1.385221709374667,1.4774929338895175,1.5202580694625332,1.3776809301538862,1.4126241359626819,1.4675111077412135,1.3905465415366602,1.4198084639526307,1.369332265878426,1.271395407031615,1.300805044665864,1.57153622138032,1.5590233526454254,2.003839686275776,2.2551830809585245,3.4754033777764337],[1.5261935354182037,1.6121449853159282,2.1789637597481915,1.2777452018669437,1.5334089635932797,1.4053177568548774,1.3224615480752178,1.3997134267212552,1.1842385654710257,1.0510149475679444,1.0045263527124562,1.1130645132292543,1.094347608413897,0.9157972918252455,0.969437951740819,1.0253915804905485,0.9569318206608568,0.9351347618330449,1.0162767320246595,0.9867840902176191,1.0814610547748984,1.1723713958150408,1.425775454639778,1.584758346558677,1.5166705144398431,1.06339526118172,1.0465414325711924,0.9259111551222844,0.9760766752157846,1.0327243482985913,0.9840599309477531,1.077361460551398,1.0712622016247177,1.0433556659666146,1.0659648483206594,1.0279982020310785,1.0841062741340455,1.1160138284261447,1.046382333491055,1.034090111065175,1.1629197869580588,1.1527265588773028,1.2128057957879925,1.4704296739705787,1.6121233472753662,1.8666198322167242,2.09465510990961,1.458285351084971,1.4425491846997216,1.8591329278325341,1.6347154365250864,1.6793676150254306,1.52297557915486,1.7147477908194486,2.421007643069033,1.7772357972545725,1.670183815993715,1.6189472538616196,1.5037194890511425,2.4740843104943444,1.4624329408337418,1.3967644419921983,1.360911876846457,1.2765815164318086,1.3242853098072813,1.1077210430929894,1.1369935159974334,0.9807792778846615,1.0370194247953315,0.9980333406676448,1.1541768511546922,1.4451389438546176,1.0544094494725569,1.185350589929984,1.0077294787440472,1.3147273321053998,1.0336471190374685,1.032488342400779,1.075444237942966,1.1787911841832088,1.0885294435367743,1.135152873752739,1.2934552093761933,1.318948679502754,1.16530106046674,1.1079214036420153,1.0821609665325784,1.1276125214924104,1.0609198271342763,1.0607452382054465,1.024002868813062,1.1442145359196487,1.1121531668591043,1.034172342323854,1.0098688958432853,1.018221932142797,1.0189163444057574,1.0524499898458541,1.1381689020741672,1.2848875224576612,1.2443080071029886,1.4680090680560471,1.370194863123324,1.507418750413638,1.75415787557475,1.6683188345586832,1.731411438593777,1.77491560570388,1.7835077184842345,1.7064152194708264,1.6103765177524008,1.525351469502431,1.4090935738256734,1.2763287330209987,1.0973639904798969,1.0284216377357787,0.9467676050847532,0.8608995288482765,0.9871299948602743,0.9048336023702311,0.8499765386135766,0.9033317299954183,0.8908370294483313,0.9715197245902523,1.121250143217192,1.3007400517097651,1.5111969734331394,1.5681629508259114,1.6618228255248233,1.7080109503253043,1.7924128084979785,1.83210650340586,1.7779972115616272,1.6911851777335167,1.6470349683575989,1.7612500846692796,1.8417693798948507,1.4820022470822527,1.0352874958353668,1.0573132425282634,0.9375575523198353,1.1645574547583075,0.9340969995904701,0.9675201793459417,1.0419933582149217,1.022083883466614,1.0497443442372163,1.1351616906896316,1.3059922103241675,1.3267282408032708,1.4240231366235256,1.3556135652201422,1.516701510657456,1.426570961730279,1.3885777972050608,1.3358113336747828,1.271082465010966,1.4358295139823343,1.2975907415978347,1.4486937463379872,1.3754991217841126,1.1779973979497196,1.1509283396523873,1.1266491775920937,1.2341905238412088,1.1864165421070827,1.4045444196403445,1.4105969298120147,1.7094006062759202,1.5070084594543125,1.593115957735305,1.3991715795326307,1.3594588690339977,1.3593275418024031,1.3008923953368787,1.3840689988167652,1.2782397398861285,1.3313440264042262,1.3025164273765741,1.4385850624742227,1.378037696089887,1.6111498709624974,1.656870359725171,1.5618865587749073,1.4382525591483597,1.2904854268678063,1.0643844096819999,1.8843236060039668,1.6691580532625114,1.6763067662852922,1.5642336136813948,1.518651820375408,1.7414966233475382,1.840823885244017,1.8912825281305876,1.9302200634849163,1.9026099183554075,1.9041837181603771,1.9343946074571752,1.8190563635611057,1.904289309977257,1.8180430022457015,1.788507029300201,1.8799106615804002,1.8759255810301703,1.8324987230086776,1.8752188309525353,1.8992651127423397,1.8444988758017866,1.7973815433025062,1.820163386617914,1.8289687812486428,1.7722023017009476,1.7470315833796772,1.86652106427917,2.011282258735744,1.7826898781920997,1.8200813732603558,1.8645223063732317,1.861072804535797,1.9322076948296447,2.009229771307024,2.1117060154422784,2.3100822387682807,2.0739586579140696,2.016140561625589,1.9488294802921058,1.979899833485166,2.0273741341245435,1.993553310290115,2.025792111441554,2.14287884199416,2.0232279827599737,1.9680778956922813,2.1345490391592663,2.0570879939571864,2.0418651925823315,2.0004894598762224,1.9638617236697353,1.9674616932449558,1.9105777706342937,1.9127785879459538,1.9056442583190123,1.8629101983614502,1.821411501227228,1.8067859820369054,1.8222710228505776,1.7748861579494342,1.728390455809016,1.8331752342932004,1.8081557318598271,1.7614307544144356,1.7843612693540063,1.8772223769014547,1.849289786200985,1.9329778705890142,1.8755196079853114,1.9009937291715393,1.922817034479574,1.9358914795617415,1.912513683009038,1.9579333620999846,1.953916412361841,1.9379892955188456,1.9579373292599718,1.9890471840809187,2.024464769922809,1.9889286578629626,2.0304774695911463,2.1931412132503834,2.0127756103376626,1.99888156102989,2.0634052794873043,2.085173674604864,1.9297210309954018,1.7923159564457574,1.8212261997571473,1.6936753403083271,1.8025925867725294,1.9116066280335235,1.896949491355946,1.8901023698259738,2.1150768322892533,1.9363569337687052,1.8455865736623855,1.861395037650793,1.8042163801502105,1.8736261108604892,1.8068869950003552,1.7900302522588658,1.8256470638542486,1.6892960132800812,1.7527850749816822,1.70895154226849,1.6357239091467877,1.7054253150713778,1.6363719417670823,1.4364471583799838,1.4973178557898186,1.8144181980524918,1.7316870660393455,2.113126784290451,2.3555266757747684,3.4480241129343305],[1.2426588745306248,1.2829791692678039,1.3146616928233104,1.1410596587228956,1.1904140025207646,1.180835673818946,1.1169796793963729,1.1195953767002413,1.1285104756646995,1.1171565222545976,1.1252854080340429,1.109511270533042,1.101308891704196,1.114385962171924,1.1373597112461586,1.1255645401882648,1.1158314522350294,1.1444180744805688,1.288772066860094,1.099552087144315,1.17548911563128,1.240910479092292,1.5104920195616567,1.6402310090201113,1.5952431061254395,1.2249518512868642,1.1466053707908122,1.1231449956343873,1.1105302917656548,1.0740978547309148,1.11327648593544,1.088420440239087,1.1078556808868298,1.10001425857535,1.0920817887628134,1.0836442450350128,1.1114245495895905,1.1957428524827836,1.0983493349766518,1.1723041263106855,1.2992192323827711,1.2107000823138712,1.2894406092053925,1.5801256004817164,1.6338361126833016,1.9001546840575612,2.16598504993672,1.4914690654553824,1.4895262148717947,1.948233488756895,1.6915443602145872,1.6405059519275313,1.6261725016978306,1.8750446456925411,2.6787314872456065,1.9729664391518547,1.861431721475662,1.6770428358805767,1.6753842038004798,2.6332063349076638,1.5881542619024256,1.5258121787157597,1.5178883559319265,1.371289375167653,1.3989180945353712,1.1998343046133786,1.1979212870636018,1.1254248707625811,1.3169652590701837,1.2787246300936146,1.4551773457106252,1.7234718302018908,1.3797773482019686,1.3906974987533645,1.1513900334208627,1.4074305762269876,1.146434337427311,1.127171199074704,1.129256493599326,1.1312045873605063,1.1273027799519881,1.2176617228288609,1.1934924712093342,1.322650153741856,1.1495233385866765,1.133372556569468,1.137960426464576,1.1841956644240823,1.1060753647507107,1.1423020065986607,1.112256328393849,1.2144352020068037,1.2099388508314204,1.1414955959577313,1.124610215020027,1.147795786675895,1.2014438305766633,1.0629747470587396,1.0935716462441336,1.1219233833357023,1.0702995311395458,1.1462373701669646,1.0924547697705742,1.1438819385527912,1.3223379527446741,1.1853672207246675,1.287162768764155,1.346379577630622,1.2616646374462608,1.2272102714447286,1.184916307736587,1.172182990856623,1.122124573959611,1.10987528420392,1.1107849121114661,1.1489774401997976,1.1643136097864513,1.2214709023436543,1.3123067834391575,1.2151879409988577,1.2472289967207448,1.1946815571192888,1.1744202310886096,1.155532860828054,1.1129606450782148,1.1342696416136018,1.1781706268339516,1.1539197763962667,1.1766571474613323,1.2122185527980591,1.2768684492327356,1.360782339134705,1.3655259638698145,1.2893329349079041,1.2305015748885582,1.3313496904580884,1.3004060684151297,1.186592762210018,1.2046706016103252,1.1252238193582271,1.2966536920968361,1.325648660602713,1.1489701383110633,1.152520791537509,1.0573997644355366,1.1109350332537709,1.090057780894482,1.0682557707854707,1.0881834337690928,1.1251833967845764,1.1377645860456658,1.139121589831272,1.3093882846077645,1.4311923655034864,1.241614037186821,1.1315885523298514,1.1139170413012598,1.1342546925073653,1.0904607691171397,1.1035761552049754,1.0892307281748927,1.0841622152405448,1.0951465552541875,1.0928144965449018,1.1262608807762902,1.0754916639079097,1.2406854336912232,1.352340846302958,1.4100267103600783,1.1743676428315233,1.2218334112051805,1.1409833068575288,1.1522239741416194,1.149189826877758,1.1272418152740218,1.1207796557066199,1.1053215307790916,1.1025298293328933,1.1710830532545504,1.2334919925933645,1.1679272311749724,1.1898454257973021,1.3064047964217709,1.3289247492848606,1.2248414594596935,1.2315940293273322,1.2116351611210947,1.8037390515916438,1.6901195847468158,1.8019241740614715,1.6761330512114594,1.4541141644928375,1.5998911542269465,1.563464450656797,1.610840791040466,1.6264670540630568,1.5073798620322807,1.4942717255201428,1.4572119634660738,1.3734247498487673,1.4415646950677943,1.3491512026253176,1.3092026130672545,1.3622459776969555,1.3653644296058294,1.3121534908549064,1.309321884906732,1.3388161927382058,1.3232182193396254,1.2917973541105607,1.3005455542555748,1.309429533511194,1.2821662342081621,1.3457919855148024,1.3321831453405228,1.3672918023933576,1.3399316225921736,1.3642459126892095,1.371397481144282,1.3851335171995702,1.5161414369371862,1.6403025968318472,1.7500176900163318,1.7853814293614503,1.6121785811570746,1.6025787266022296,1.5468413226782094,1.6462413329408725,1.670109507008285,1.6137816317472677,1.6482196343544742,1.8149397872599269,1.668701396196021,1.6005365872356152,1.887679664765649,1.85090108383488,1.724763216553772,1.7300751104381136,1.5373885916250298,1.5812911452675478,1.5454682754447446,1.503914439737475,1.5062464732621728,1.472372285852965,1.4581677146835073,1.4045865716523658,1.393316158871849,1.3776379659871438,1.3518293950156015,1.3541889873047095,1.3348700563202507,1.298199110082386,1.2941102568534384,1.3794111969124452,1.3333902310315555,1.4961835780005561,1.3566892812004403,1.3606863881653142,1.3673415541264262,1.4163240625186186,1.4142430062104343,1.4923064440464158,1.4638218772083862,1.4092617156281741,1.4743610294642404,1.5225704488803693,1.5217296753431475,1.4903724397362632,1.622979781934801,1.7820767224947973,1.547566021999131,1.6013998469844124,1.726650655016698,1.7518697960366643,1.5611204025657068,1.4109143204444563,1.6921455072663287,1.599211107962659,1.4797762719089778,1.468346357999922,1.3750140514895508,1.355940331791436,1.5728832809319462,1.4330924193993488,1.4471586954202662,1.381846897219459,1.3122618783042952,1.2975180823110286,1.3236828705350179,1.2272267068280323,1.2230167098989537,1.2416524277340097,1.257324326980021,1.3104603815095368,1.194925888401808,1.2161671397740854,1.1945937861455544,1.2729857408537655,1.164873089229644,1.2636364745437283,1.230661667641258,1.4654418866435748,1.7868145674612956,2.8210736765350655],[0.9510734199568007,0.9800994139511433,1.3491162543605053,0.6820356657109796,0.861749680846542,0.8515914850159776,0.7959657790513212,0.842662841441711,0.7887829307320945,0.8012200031397677,0.8225396577994607,0.8322620288988587,0.8884012983806291,0.8380948648961012,0.9218897941883775,0.9465984018397239,0.9400363962116625,1.019496591270213,1.1898559357962604,1.1178385375667423,1.2606923538245591,1.2733372367716067,1.655479783191401,1.7609465729884621,1.734623033553948,1.269360475384178,1.1672351716348668,1.0188088975482168,1.0057527218561937,0.9620891257917098,0.9977575287692964,0.9648217971545684,0.9865909476197875,1.040679700441408,1.0433280110234462,1.0666126625810963,1.0332604292161853,1.1921589913286057,1.120616235404196,1.1897616031910632,1.3221487465503952,1.2573484585698935,1.363699947525554,1.60592518251093,1.7848674633419102,2.0377179350898706,2.3642854491823124,1.6785497383177388,1.6438732354148042,2.0752075212534744,1.8755969628595672,1.8103354847727184,1.7551435686103953,1.8470910211382485,2.4952704028114425,1.9028633872706482,1.781551178248676,1.7334208577595047,1.6554107361648511,2.5008862251949817,1.6102697055749238,1.5554535678717387,1.507368405082576,1.4360622999260306,1.442751311343327,1.2148743412814136,1.2940935183328528,1.1071949082684345,1.2190039510946054,1.1451322275553115,1.3236997503142225,1.6525184497151935,1.2710350549657472,1.3300658999027035,1.139416868199152,1.5021621018556244,1.1792326963509128,1.1543876852284898,1.180291439650236,1.2712688710210935,1.1638598385091505,1.22706896699726,1.2198815593851315,1.3532399085678315,1.1873510720262619,1.108811873316321,1.144204009040278,1.1523300520823705,1.1313248712082835,1.1048491939548901,1.0847314600329603,1.2177176334630924,1.1432523041093536,1.0439743990662391,0.9750875358401029,1.009988988354793,1.0041562162799378,0.8746351429335255,0.8795554457374659,0.9126207355053364,0.9352640368464273,1.0224496108579288,1.0278340226856937,1.057044817086229,1.3156793360693997,1.1399393821045887,1.2144361982404255,1.2562242476957375,1.1402748064934922,1.10071943185171,0.9817590291425196,0.9869477978691994,0.90875558083043,0.9116723693297687,0.9171864809232567,0.9275987941960104,0.9678171183636504,1.0013330458432004,1.1796546489371305,1.0347589619959328,1.002009111091418,0.9215726834408681,0.8928116110996595,0.8621673553457836,0.8167911618741963,0.8886141802752447,0.9195134795615608,0.9953954670034715,1.0306986958349598,1.1368111236413492,1.182796285363081,1.3094742761306497,1.3416349428799086,1.2523895318707063,1.1738093946007633,1.2418132799463424,1.1749435863864364,1.0183398573916553,0.9052269483546711,0.9778861432803798,1.0570738666971873,1.3432783384178115,1.0910106348745219,1.0388969276336757,1.0924729631877996,1.0077014341467425,0.9584511121059924,0.9346988423141939,0.949518609836682,0.9181761049151382,0.9081841931077426,0.8648568644362148,1.0494174969899266,1.0981470171178007,1.0024311071590017,0.9001536026917398,0.899024089784052,0.9597743655374826,0.9509453660354654,0.9859508169684094,1.0285682267290008,1.0203690882140497,1.0250630682109736,1.0788838832973564,1.179461388987476,1.1573648846156017,1.2896667486726041,1.4257268180795293,1.4416575793294548,1.1621777041356212,1.1983299250517283,1.0766015577370662,1.1221044859955307,1.1204776744271785,1.0880632248908573,1.0806518002266845,1.0419780614345449,1.0680505485162974,1.1518476901127521,1.2016231645235114,1.2041572344468046,1.2034280037064988,1.327649221153473,1.3626072355105232,1.278615312621341,1.3245301408248802,1.2190083546470192,2.0213415924616953,1.8789544556428153,1.8507930013581828,1.7565528525055258,1.5625461196244634,1.6699719248021723,1.6185683509863618,1.650545761053633,1.6926947669541639,1.451070579186134,1.4285911548263346,1.3585904375261098,1.2096697198609887,1.2993314807643326,1.1697445884280457,1.102585393101166,1.2024021627037624,1.2078376151462535,1.1111645015615577,1.143528672991878,1.2168885218399283,1.1444168423929544,1.0764940431213665,1.1477647590793332,1.1704638555180347,1.0814785631661044,1.1447095789669985,1.283887110032507,1.4108127150711194,1.2416866478572153,1.3387579036969077,1.3044988588834536,1.3123713523331368,1.4732494327750254,1.6499269190350891,1.6898009111267676,1.8082283417434488,1.5757339581248944,1.5409178547579603,1.4426901941314236,1.5787256907469487,1.651696674185236,1.5206905668016093,1.5789080597499345,1.8080958811680152,1.6504245730913412,1.5402218955352747,1.8506069858751857,1.8306627904836013,1.6874289258808792,1.6341819881020385,1.4595136727001812,1.5036112159610677,1.44993518862672,1.3615262849740186,1.3745625202348255,1.317337294806313,1.2775450731547444,1.2301628166983676,1.2257509170806042,1.1597404024260316,1.1147197774309658,1.1462455446848172,1.115414324711488,1.0655680589090595,1.0732103770910975,1.2094242126996382,1.1534693823757722,1.274083051143836,1.2057514104967721,1.2431001185616477,1.2700201128227784,1.2896151381879686,1.2662007208547679,1.36856189363373,1.3563142086505786,1.2986777109207484,1.3805258127657376,1.4638242084123483,1.4509371978253403,1.417325374430273,1.584063425095528,1.764617000743948,1.5018672001297548,1.5590477823294355,1.7659755075129588,1.7982045854094468,1.5975204758180268,1.383913161981587,1.750264310612245,1.4773769330322462,1.4819848164025922,1.4172598623963237,1.283724174012249,1.2441308315840403,1.5476006900846082,1.3417726479106578,1.339772082854303,1.256149029207411,1.1890861716286578,1.1329878361288463,1.119242056409034,1.0401166068204881,1.0383519128625243,0.9976537539494598,1.0405506632532324,1.060651868532365,0.9332769942546016,0.9660867201766873,0.9094226326013309,0.8989025049101869,0.8221744986040503,1.0706072750917652,1.0134928398321332,1.4825436469310769,1.7684790469751068,2.8875788756322267],[1.1121198530731569,1.0768950863532896,1.340199592976472,0.6900804199023649,0.7777864109346729,0.8092183146207718,0.6903523691754562,0.7581068706441723,0.6700704444405953,0.6381551484968501,0.6371492709434169,0.7058762724405858,0.7581969799190095,0.6456329982910999,0.7341662748782924,0.8121688094046492,0.8225099079298537,0.8823636006377119,1.0294122932073064,1.009258391430205,1.1171187952935373,1.294843397769311,1.4963144035101932,1.652458498221848,1.5897343069050986,1.1097135015680382,1.1052407806835665,0.9181281416688439,0.90701965303184,0.8534183990337803,0.8562492984961995,0.8530289707904961,0.8820346071690964,0.9307790607815011,0.9497194715471237,0.9446921890842825,0.9665904387071087,1.096999676636575,1.0670541930883677,1.2313202144403164,1.3522587945921514,1.264668777539583,1.3912772634865478,1.6941457491618177,1.8297970692041563,2.130563762018781,2.3999778193238313,1.7093571299293067,1.7126308979582978,2.1413796558516744,1.8814055546037884,1.813053562340712,1.8895801118263087,2.0123074221361126,2.8224725777936794,2.154722574025235,1.986273558334037,1.7677096994427817,1.80696356016667,2.7369739049255792,1.631799089012646,1.522398267458682,1.4944061502419652,1.3460855707952126,1.4121176250597909,1.1931663471732077,1.1333239476763741,0.962405783851832,1.0131032648712526,0.9393669363140575,1.0698079273809178,1.3195520497024895,1.007016982584542,1.1577304849504648,0.9545138433899794,1.3348448160541513,1.0720952499522636,1.0531694105129399,1.1116675797813755,1.221414729153179,1.1173996834909037,1.250777118783334,1.1665341731009051,1.3158306234787391,1.172919795542417,1.0933882739443714,1.1281075013487138,1.1107976458866102,1.0607572665096352,1.0486978003498537,0.9822615481099001,1.0927081795519353,1.0042172977332693,0.8860631911569925,0.8242828357886839,0.7917462119809219,0.7955259150174077,0.7587545398599769,0.7593393847121533,0.8351611702816315,0.8613354235026758,0.9626391512052269,0.9511115607950872,0.9635932129845849,1.1959990697018525,1.0190481123217394,1.0930742606820858,1.1479025445168234,1.0026620391937453,0.9967668162396803,0.8879705325303927,0.8920703047931715,0.7916104751392169,0.7748571618115966,0.7525463768022238,0.8029414683616615,0.8682662381119762,0.8606389222303685,0.9886214970858337,0.8657606651584442,0.780911386744969,0.7774125106637666,0.7533694172480617,0.6824560160114586,0.6448587287857839,0.7342879279484961,0.8221442425248884,0.855051152000256,0.9118502286640299,1.0141253637469296,1.014432811025964,1.1178693376392812,1.1870816784835063,1.1475076501479065,1.0956285308715232,1.1982827309135704,1.0677437734586395,0.9452104422548745,0.8017720472957817,0.9147671038010355,1.0290431359517893,1.2315038357101133,0.9934304089844954,0.9802609411303863,1.0232259695935368,0.9656164012528103,0.8971251659823317,0.824337040618405,0.8564615463723436,0.7953508097288471,0.8158128672204502,0.7711847589095483,0.9986666636050859,1.0467966400470157,0.9090458169197437,0.8221576130560498,0.8052668212885844,0.8958364086462204,0.8745109786849856,0.9433939684100334,0.964566050058274,1.0021665055991191,1.023583075646352,1.0946689160888223,1.1813065225509782,1.135480777616162,1.2701103844702428,1.4237265374826509,1.3436773180135178,1.1305410514029675,1.1304938963826987,1.0590661509456796,1.1195591330498362,1.1016975614133604,1.0712573077361685,1.0334684378637613,1.0088532174637785,1.039410039637537,1.1491170279014273,1.2171081177208294,1.1518738704246758,1.088131166903384,1.2330850922714514,1.2955695644295147,1.2138211562749346,1.3062441755420438,1.2869358282988952,1.8426069550142445,1.8213238983782234,1.9234293440789516,1.757647213404558,1.496554396064226,1.537379650242072,1.4288817843954542,1.4920004167952985,1.4676761569823853,1.3047651959780397,1.219824948687882,1.1521605559512027,1.0460293686681754,1.1358965856831855,1.0305033779296044,0.9710310068431424,1.0672681912727966,1.0882125749016136,1.0267229515538638,1.0657563679685702,1.134732593338026,1.1008005459095707,1.0778009888302884,1.16032813491021,1.1845517893522686,1.12252098868928,1.2425069171346266,1.3463146647120525,1.4194748084483482,1.2827325940315077,1.3255849713289762,1.259687528596738,1.2694492946898883,1.3903066660614047,1.6288864134265195,1.5699456701672854,1.5823338195518928,1.3766072490125576,1.3379809226412736,1.268300952609308,1.4151693141998827,1.4415775577351484,1.3551125653358258,1.3731324500676403,1.5316249247098361,1.4061919015627906,1.3350537181398632,1.6739445261969654,1.668829604865507,1.4641120770412035,1.4618628352132146,1.265426285847935,1.3290324064617678,1.2705615581107488,1.2056786150158325,1.2148895757302762,1.2056955987403912,1.1596679343856746,1.1157094202345763,1.1246518936564647,1.0642004380953585,1.0225592413618416,1.0552860290189192,1.048656870041453,1.008446364099588,1.032838014345686,1.1687494488432997,1.1373109507654344,1.28202978691992,1.2131470872837624,1.2325761653900298,1.2196312285095137,1.2024426651818882,1.1645273646507106,1.226947088987316,1.2504838209450155,1.1988548572406648,1.2298640055769872,1.3065319129760786,1.3271886851483927,1.2423942716439986,1.371841003487419,1.5931751923445945,1.3438410319068537,1.3525855621359861,1.5463252261518339,1.618243934574686,1.4382138136424154,1.3164265269393873,1.7617646521863592,1.513093949839086,1.542658884844993,1.4509982450432473,1.2507473615509617,1.2549200857459193,1.5666667961385456,1.3441634168556267,1.3317594570383207,1.1441127107908828,1.0592810318757941,1.0137529229379554,0.9621985957148141,0.909507817673114,0.9591323295990869,0.9028360907464208,0.9625923441175529,0.9913031671716964,0.8637344451312012,0.9315118177768947,0.8832001707830283,0.9087909540996791,0.8162997147985088,1.0687534820791182,0.9629766252737879,1.3202669337784236,1.5641751285607983,2.5362551716141732],[0.9560023109776086,0.9228608787909779,1.1918490470347542,0.5828274689440436,0.6868027417418708,0.7003028867250622,0.6029854493839342,0.6583347368998235,0.5847281671730945,0.5585896643366606,0.552374045044926,0.6140473321780905,0.6672194501368393,0.5585428236735721,0.6324571835846359,0.6828615086341758,0.6897040177351982,0.7348298319222957,0.8517124123790917,0.8580974687380849,0.9768036629019899,1.1056242406662413,1.3376818992868917,1.5070978671055362,1.5109172214071498,0.9877126701721807,0.9509244488589237,0.7570486877302172,0.7549790440742588,0.7054588907836278,0.72133409542972,0.7084871142844119,0.7235463773935044,0.7720671560071469,0.7864284880154643,0.7888962135637095,0.791768952733746,0.9302791104640329,0.8941177517258012,0.9960946792334715,1.1400556827163562,1.0888130530229967,1.1832563879577471,1.4706767789739263,1.7143735750616722,2.0618895091271576,2.358659281589123,1.5566701679223132,1.5121506059155523,2.0232051016958663,1.7490612463570183,1.7405036236512605,1.6069697694251772,1.7684813161699666,2.5672283558034104,1.8519213892707584,1.6921487641635193,1.5722755349661006,1.513251961872515,2.4208493488321525,1.3719816469027861,1.2746742671170537,1.2481660764043971,1.1567109116178282,1.2245430401396882,1.0076221856038654,1.026979747600249,0.8117739522666232,0.8612734422798066,0.8130307111128239,0.9645842378058997,1.26728363768447,0.887870923469095,1.0348797547679307,0.8280297284674689,1.2563146311565587,0.8986449845755479,0.8726493529224791,0.9226042085398868,1.0525673104582318,0.9164276007583106,1.025907059735528,1.0452447009238872,1.1040783321668513,0.9863030485048716,0.8972217595388777,0.9370300570471213,0.9008381833588236,0.8851091818597486,0.8707303932746085,0.8105756555117453,0.9751843122512376,0.8763441316030642,0.7470632444643008,0.7006384845688263,0.6943372460888475,0.6939671321265296,0.6481692227112155,0.6446184269507464,0.7182666787155377,0.7332013950933827,0.826642903126991,0.8227081621279175,0.8301030437919221,1.084585090744469,0.9145112263335474,0.9628593243285078,1.0224999737763367,0.8944966261277167,0.8857806133247577,0.7770165367948202,0.7982777910440902,0.6964702473804426,0.6848439465697354,0.661421518150513,0.7030898006006496,0.7330797432586688,0.7122344686419597,0.820223776521093,0.7138172293802222,0.6500878494650568,0.675981731355531,0.6759681587075108,0.6139072178880152,0.5839538750614643,0.6661464171705946,0.7227713366462847,0.7767380321422804,0.8113342246066699,0.9098370211391067,0.9149751955851685,0.9973528688541297,1.0743465638279164,1.0242705869252309,0.9907075865407149,1.1382792635736787,1.0029015082262924,0.8845023983531282,0.7054512699936554,0.7826591883472144,0.8603820636610239,1.09361104967287,0.823414838730093,0.8107788901234319,0.8924378449335882,0.7921957217440143,0.7497629209373795,0.7020638577395469,0.7407889098011986,0.6981802295053032,0.6946799367422365,0.6591871506860788,0.8737567784210799,0.9742678996137505,0.8493124366203207,0.6929466234464362,0.6764121609471252,0.7593453060388731,0.7485075696341762,0.8152578696832055,0.8397342749851259,0.8383937910073596,0.8668778815138382,0.9094677583384355,1.011312270099983,0.9833330599350848,1.1097900601892599,1.2676232005792862,1.2450541696022899,1.0212554550777535,1.015214740671342,0.9473145478874597,0.9705925573260821,0.9496935984368841,0.9076030851493995,0.8842228445486368,0.8554814062472044,0.8790812411791677,0.974157902251512,1.0431641040316113,0.9928659187467342,0.9710639336278125,1.0988965584697499,1.1414050704685934,1.056470676764959,1.1346494299768337,1.0613033974877688,1.79021745015393,1.7382281931825687,1.8104817541294238,1.6308273269601976,1.3435234166612,1.4314451313754812,1.339191196045529,1.4085890179130212,1.3762401901383483,1.2155469381580235,1.1250826224463908,1.0388391936287191,0.9335988121218608,0.989779774567867,0.8825231461412912,0.8456169190987326,0.9172805885832211,0.9280520583922098,0.872507266886042,0.9127457703101614,0.9686650042763717,0.9277854947584856,0.9207791596064296,0.9916032450254051,1.0144004270348603,0.9748757584514935,1.110112864611528,1.181494856431322,1.2551633492606713,1.1066321340797,1.1254478444182678,1.0638786391390807,1.0665632961091518,1.2295098396867483,1.459682830005552,1.4154186933035793,1.489544803723674,1.2161420177945623,1.181419081319746,1.12151980379305,1.2780824398428168,1.29904828535799,1.2006443819019024,1.2588426696144517,1.404649518760891,1.2651138347399935,1.210819616685853,1.5447216717575998,1.5635312211730288,1.3464090404000892,1.3895743000040581,1.1437255481643083,1.2181361916560072,1.145862175160148,1.057156641457753,1.0792409166999517,1.0683719631593127,1.0254617136818596,0.9868753208147752,0.9884272446882664,0.9177733121561003,0.8764325076628706,0.8960436767333987,0.8857237054911463,0.8650206739014722,0.8777279652982232,0.983689810993726,0.9745861396490967,1.1463559209267924,1.033509124397931,1.0464940366513558,1.0276547212664289,1.0153727901295146,0.9887625417983984,1.0632392276847888,1.0616159508606877,1.0197690552729597,1.0633995759413468,1.1246216872975505,1.1439960305319594,1.0719191345827463,1.1892313051542185,1.4057361383229945,1.147590615897572,1.20414325513833,1.3753997067798123,1.4196223502185468,1.241341688170916,1.0930503739368755,1.5961646170092938,1.331442861807565,1.2614679671990534,1.2322117595494564,1.0678832047854883,1.1027492711767404,1.4127271404391875,1.121077495889226,1.0643444973696823,0.8929182463258335,0.8730934819244627,0.893412845706055,0.8554106754427566,0.82260613758585,0.8346095765985548,0.7811957659471271,0.8211837137675436,0.8642634636973352,0.751809286733973,0.7867519407807623,0.7328143694992986,0.785980153741945,0.6838728512840323,0.9052068703054019,0.8436475316206308,1.3425467856692825,1.513145610181333,2.491646218704913],[0.8853300055893583,0.8449392557182127,1.0758873039383492,0.5617460843626517,0.6983715259142391,0.6811863715534184,0.6136613545004818,0.664112963661277,0.6088469934476235,0.5974044302466158,0.5959796399048083,0.6451747042881596,0.7086781780136964,0.602271343221264,0.6892998033257685,0.7347997518611242,0.7319471155687779,0.7882472744574162,0.9091849531368469,0.9287352302304764,1.068641165647988,1.1665472716008727,1.4391663883485168,1.5782943172501287,1.5776369081511976,1.0703369012100257,1.000212329442543,0.8103687762052526,0.8101014540228949,0.7602606318090696,0.7874803717054513,0.7729398162423274,0.7846834411088562,0.8399507427540598,0.8531540369397693,0.8687201764413328,0.853732085573454,1.0037340959978156,0.9649030729855973,1.0491170170437683,1.1650054882221574,1.1367570712210873,1.2412214190753044,1.4964052362811893,1.8135497094755764,2.1554494083567284,2.5494573950569026,1.6941391204269822,1.5857702492273822,2.132819217010458,1.9020752894207156,1.8398612432092136,1.6827777353783275,1.7579906102039564,2.4763014751069052,1.793795524687308,1.6312195480839347,1.6683281064287523,1.5102972989310364,2.2769302383806784,1.3988432172729164,1.3210962647367863,1.2985507184531788,1.2466396804119162,1.2732841573450775,1.0722776402558993,1.1292355685119622,0.8913814467683083,0.937851531536742,0.8798255733556332,1.0307045085652649,1.376457655335964,0.9750816990204549,1.1031846080786538,0.9110629645431837,1.3720434862056436,0.9713863557853469,0.9528257431954349,1.0053737960894842,1.1642883517773177,1.0009695611154223,1.095361749061549,1.1107422341915734,1.2133718902686874,1.0696340475857096,0.9629050788779018,0.9962469035613613,0.9807701166527517,0.9627910281537939,0.9411229051692788,0.8851312845336814,1.064323456975725,0.9712953295071417,0.8241305257975322,0.7661802654155655,0.7705956300752494,0.7622365967846085,0.6870397787817107,0.6836312258394234,0.7266667225469945,0.7689864318110348,0.8429276203283548,0.8653233480206384,0.8653768770789937,1.1201846339042252,0.9595264985492986,1.0087191054256044,1.0641482761362944,0.9210605063680044,0.9011356393513172,0.7934166432432289,0.8348901830387896,0.7284139650549913,0.7267870194583017,0.7136900674417442,0.7460859140360967,0.7681960653897775,0.7489789509016962,0.8686261578068928,0.765438049004744,0.705398161760168,0.7087318269645163,0.7155958771456767,0.6608061780007637,0.620184218027062,0.7145440248828228,0.7532492601860103,0.8033239824595393,0.83855584065659,0.945557103756244,0.9671406809918741,1.0643082956585377,1.1375510660476496,1.0789522922028458,1.0315876818001462,1.1669661854812345,1.0320717992682091,0.9259755210045307,0.7467063293287463,0.8278531630146307,0.8651549059851819,1.164442979458879,0.8699478737919852,0.8619362391807056,0.9622819851672222,0.8415360151450717,0.7942834675644691,0.7435010484540308,0.7731973965075017,0.7387454007570725,0.7286235528901105,0.6686673775219157,0.8904125994783628,0.9830530748323205,0.8528694014200624,0.6976078765362285,0.6987948297656329,0.7772889345982212,0.7829923506556583,0.8362109678062024,0.8790645739965798,0.8908213129905811,0.9188182401139332,0.9806243579297588,1.0896870660418372,1.0801741482331693,1.2085067463382362,1.3713139761215298,1.326154905969329,1.0742029957040284,1.0812137642516682,0.9950462104613477,1.0286482822795557,1.009590594357135,0.9692566438569797,0.9351486459834173,0.8977122899784685,0.9226527078524925,1.0392369778396358,1.0994908046356737,1.0809319670016604,1.0338164465084714,1.1905036188866382,1.2467299743268057,1.1551223571863227,1.243357173654505,1.1225304006688042,1.9945539048772356,1.9010227995247457,1.8717617516034102,1.7468514098702148,1.4682971126470545,1.5353003174489475,1.4262001753285065,1.4694057943250618,1.4486858690416557,1.2647857561360745,1.1891857190080928,1.080392549477585,0.9749681829157664,1.022474997627855,0.9115865667626224,0.8698546796745222,0.9251193823543978,0.9337033405550799,0.8695897611196424,0.8948953498037299,0.9468554335327363,0.9119570180772463,0.8936565414013826,0.9627909007673936,0.98653059476752,0.9471749911608535,1.0982684991800014,1.1467479837168082,1.1936306898453022,1.1080945896663394,1.1270463223074672,1.058901154622867,1.0652871324383082,1.2542864418296724,1.5040368775936088,1.4381765518451521,1.4619878754313742,1.2234008773982856,1.2058024763500883,1.1506566078793319,1.3258158845846562,1.3430993643187958,1.2318681432521588,1.2993735580997454,1.4610537845447544,1.3141544201755038,1.253784082610737,1.625663078526198,1.6443695560888425,1.3889083140715204,1.4250525469966444,1.1850661112057688,1.2775763904000752,1.2042785717271463,1.0992837629553827,1.1274340014626483,1.1107333775019186,1.0644413732785443,1.0188199487335268,1.0077712188273475,0.9483242990666937,0.9115443407657543,0.906818017876664,0.8827207681936061,0.8515855509422269,0.8575896694481374,0.9694554640035326,0.9364889192848901,1.092923309648937,0.9967909359264486,1.0177786559909763,0.9975271017655479,1.0046955138841829,0.9910502304414103,1.074889603445536,1.064840554227813,1.0120190858403022,1.0742002297113082,1.131817938125223,1.1399277183003205,1.0752625730885748,1.2112273403237468,1.4112536828898992,1.1454510462465317,1.2289102997157575,1.4151066353094135,1.447363592509072,1.2525424832588885,1.0875211700580867,1.6476759936150611,1.3237872408445674,1.2690968151706818,1.1849718213884908,1.0320885015345855,1.0549243768736452,1.3318108837920524,1.0564642609106347,1.0370063234841227,0.8900091192219358,0.8817353535917958,0.8833872861396029,0.8865637796126983,0.8316714359914019,0.8167916872408226,0.7999793592326113,0.8236272180596798,0.8669433141745263,0.7405706963725059,0.758464668594,0.7093369034849192,0.7745707833251665,0.6510988790298858,0.839875434920001,0.8059178922383996,1.3192873410835453,1.494176313139564,2.539094402373663],[0.875673725587596,0.8008142160355461,0.9888164451481384,0.5069558736310525,0.6268191564818881,0.6242396577672212,0.5585379688180608,0.609206793615723,0.5520906443129785,0.5573179587181145,0.5530613943114898,0.6025250683682888,0.6751737068852666,0.5798597274953196,0.6634269490314578,0.7174030676857169,0.7367146173836393,0.7994323940946622,0.9224065531538277,0.9574804722487708,1.110862573920775,1.205917112098338,1.4871218237452717,1.6309179407745649,1.625711133648784,1.1124306805487985,1.0358232391975877,0.8282920766772106,0.8238732165190292,0.7606244428182429,0.7967120277788523,0.7566430403636212,0.7701383062753936,0.8387576268057473,0.8559559856391009,0.8833530713495957,0.8659785408623593,1.0213322237753284,0.9966201698956564,1.0982113679258003,1.1887319896049486,1.167439165874528,1.274322585866752,1.517099607525867,1.8807223139241316,2.2452891476911874,2.6786481033377676,1.7742124554771852,1.6363798143049921,2.22526823810911,2.008565104246103,1.9067295308175827,1.7423498397077832,1.7781047109695356,2.488998314137147,1.8132023394602712,1.633905218402137,1.7023630651997068,1.5230105841346708,2.2358278494878747,1.403159967064222,1.3201865221661289,1.2970339089447571,1.2827197344123125,1.2925660199809268,1.1090651890609786,1.1855117433849152,0.9150142050567085,0.9642513370071536,0.8927631076917302,1.0419338043312294,1.3926611761304226,0.9867414726724367,1.1324808487497626,0.9294261996040628,1.406117086275071,0.9974248523260097,0.9766397996843119,1.0342146587538552,1.2169892215063796,1.024191069882624,1.143946919667195,1.1382989874273233,1.2723823338720237,1.120525438298063,0.9961638295179018,1.0305153531589561,1.0058405201900404,0.9901826193047061,0.9498437836331385,0.906505090769484,1.1088466224187283,0.9885458439671735,0.8139728287388506,0.7510158091393527,0.7475253340328233,0.7118716908112867,0.6614546324571182,0.6471012315289397,0.6838948211438829,0.7474213095558463,0.8177074427638583,0.8588354207075715,0.85206476985575,1.1256696439880705,0.945633177619607,1.0014625461770592,1.0829366639003386,0.9119947142544303,0.8978598531286313,0.7719705184954985,0.806722491500806,0.6927324665286249,0.7018830376034391,0.698402336184866,0.7418310818317592,0.7779026945466132,0.7635223677583162,0.870858355735178,0.7685702997536721,0.7043010249564777,0.7113817567682583,0.7254500226410823,0.6501291941028374,0.5750572618417114,0.6750384526691375,0.707455281121103,0.7895368901133281,0.82926916123486,0.9569353234811835,0.9662682648255754,1.0783312094059379,1.1777926802429923,1.1107632487516559,1.0629011022449466,1.1957580800943806,1.0352037828119385,0.9458462001213431,0.7616425986665597,0.8484492925540021,0.886443453644923,1.1841258007690207,0.9014707667937644,0.8808180175459933,0.9918507038863479,0.8550972617717985,0.8069821362997401,0.7398476229281737,0.7662623984696852,0.7017362278279345,0.6818754992126043,0.6248743169693791,0.8422022916536795,0.9736993145797823,0.8306485171901385,0.668466957299096,0.6667338926703796,0.7517902163949187,0.7615815277428692,0.8345657514364967,0.8882322959007853,0.9154496072074172,0.9525146916830702,1.0275698937449242,1.1575246910357562,1.1350026043496064,1.2686603545454873,1.4482725816842745,1.3822329275173635,1.122625360523415,1.119208920139899,1.0338432209381447,1.0780137593546273,1.0530904832126422,1.005949609039978,0.9535785244451291,0.9053022816729329,0.9480730899750393,1.0796220800135807,1.136130895503607,1.1263657516065928,1.0483022026175437,1.228882839992798,1.3042043021457308,1.2132647249643902,1.3282261230499137,1.1907777093734195,2.0823937545353144,2.0242935227056793,1.995778518866157,1.854602769006477,1.553771389216013,1.6065409929949108,1.4853544910995669,1.5397459872372654,1.4807418325392345,1.2979362635892977,1.2109976164661305,1.0923688724927445,0.9683664771451236,1.0363037581057624,0.9013461045669958,0.8436121499146677,0.9169112716769275,0.9311916229278425,0.8375091208364105,0.853518589368218,0.9326677576872555,0.9020985676118076,0.8600085260939003,0.9425357519656297,0.987500301449919,0.9346175178123574,1.0973590582335204,1.1672614773730074,1.1983680159715782,1.1451330481863835,1.164002241032864,1.0818656332864747,1.0984236191080305,1.36513846820593,1.6852744685767034,1.5022507713287014,1.4709513617305552,1.2539338030261105,1.2680714260862356,1.2029994893137292,1.44104460212734,1.435587329647203,1.280397421916508,1.3804217939191932,1.5593635778065849,1.412176589746282,1.3481598157512957,1.6993260077296628,1.7875419390763305,1.4867370384766994,1.5042580592436652,1.2344849339412411,1.2896586523569218,1.244745950947762,1.1247422972665784,1.1450485147179994,1.133942850968957,1.079329984301669,1.0438773187013783,1.0337915397086463,0.9377412199079457,0.8884117476399053,0.8856512507541252,0.8649632864515185,0.8306986517098215,0.8372842894865417,0.9545032134355235,0.9315067196678724,1.062709742437713,0.9985407784495672,1.0339379108457198,1.0098031154553404,1.0016188325262474,0.993064958432601,1.1049473792018083,1.0818402265101297,1.0148878717754029,1.10077802670901,1.1643092970236968,1.1538038231774048,1.0950912429579338,1.2515250398282494,1.4147108671067585,1.1527470212575373,1.2781729149393695,1.5101763983456213,1.4902396622257323,1.3003705987229923,1.1237685590395003,1.7037355564147678,1.3262586356333492,1.3150734533478587,1.1746397450678363,1.015007860996031,1.0095901851365536,1.2493800473068493,0.9990942645817348,0.9800503740172682,0.8400272225699119,0.8861550258892579,0.8435357043359174,0.8628501992455154,0.7867813744368689,0.7796555951285487,0.7802292403947187,0.8011130133468121,0.8398563481852348,0.707845959901885,0.7142895279944883,0.66079007027401,0.7463911211346144,0.599674185858773,0.7506088319101933,0.7220575685188894,1.2421650285270764,1.3565528388685453,2.294646785872402],[1.4533064633524753,1.4178133132552795,1.6148947981430042,1.3332757987920585,1.3865423357316724,1.4835596576059114,1.5795478739868074,1.5953191513225904,1.6866957292325913,1.8297391248556987,1.8982124105744147,1.835770155237164,1.9092668784393902,1.9862277687290983,2.0354879036692073,2.004956951711629,2.0675858283560418,2.1795723798488154,2.3417990461196228,2.2138998976894846,2.3224055011434763,2.3498774563626332,2.3380817699178693,2.4508931126224804,2.32657259527765,2.2609337278424317,2.207023249447967,2.073557184145336,2.0740018506985876,1.9512864385915567,2.147532934404135,1.929382967928912,1.9802170606915068,2.0886216827036113,2.0103307764256466,2.0859839286558257,1.9145810202509899,2.0206432969216035,1.9947340558840285,1.8287519632407656,2.028179717200004,2.2338634957389223,2.2247117781815686,2.2767572178116606,2.6410030091803423,2.8445416151791703,3.275608947143986,2.4842853794239885,2.2349046660062206,2.6738960714617086,2.588007818208563,2.453342191690626,2.2818824063811456,2.2654851357325687,2.7534898400557632,2.3427052918273086,2.276250830531698,2.4245482943172325,2.2405778401581316,2.781803901878809,2.323324914464781,2.296019624885286,2.2765257898322515,2.426407232664489,2.425112048245794,2.2606178349308967,2.435323586116174,2.2800670286507585,2.452136824404049,2.3673313925906716,2.4504691101308946,2.6116799331879146,2.437323309270566,2.605665748574204,2.308173456626345,2.62879521080707,2.2741413252265867,2.2283125582943235,2.1721570027174364,2.3020220383672734,2.0049369069282794,1.9510075535367235,1.8589175893971241,1.8966175962711436,1.8273301131639192,1.8460364427995022,2.020344619762076,1.988613343959371,2.137727998190786,2.1196563876732397,2.233535422408782,2.469769166859221,2.364561864523311,2.169382691638801,2.1024502751935246,2.102211375908926,2.0097018500105897,1.9397420365151308,1.837501892213619,1.7387713035980783,1.822997393979047,1.7017026794431989,1.7800869686515415,1.6081392077942431,1.774790298147027,1.606838912125643,1.5618149645155843,1.5510950706307847,1.4408668012126327,1.4684097883528573,1.4242130726503497,1.5859230700893978,1.6473110601967684,1.7105835347724772,1.8980217298628046,1.960412386463644,2.0523333949995157,2.1380470132453677,2.2978944442111167,2.1999527553462364,2.187851667286462,2.1341195022859307,2.124548636989465,1.95348893252909,1.7862741579195183,1.6872363887437927,1.5282538228687355,1.5393894167951874,1.4407506141736657,1.5316377583643699,1.4495314508347943,1.5235627028261036,1.6189451154999335,1.618654351853817,1.584946301784684,1.8151307983400915,1.6100803637665486,1.710570281761495,1.7108085802102753,1.8335294722244588,2.0167294283848993,2.096000016773587,2.166605794426114,2.003381067224869,2.079869830040127,1.9511570250379997,1.889547165405634,1.813738690511227,1.7353640519390923,1.697599090793515,1.5677939166322872,1.5756115190713125,1.5921926377678501,1.653779630159353,1.7585716551851178,1.6446254882482247,1.6986100940664044,1.6677926865746129,1.7605453298110914,1.6717056585161643,1.7211520946824586,1.846026142989299,1.851391948873578,1.8677282870567924,1.8427967687802036,1.8382892976732512,1.7590438207910635,1.8332925487929994,1.779099232485407,1.6727470048180026,1.6683019047257,1.7427510350924187,1.7488330820755251,1.75637662632203,1.7649968931640654,1.7265192309702346,1.784460790918917,1.7334677179977394,1.781318836152207,1.8192957064444333,1.772534071570449,1.7331261190530285,1.8142787578256894,1.8300227631816148,1.76375025907477,1.899948337375293,1.745241327913526,2.5634723947885716,2.5779971055510593,2.2965766441994835,2.1469845341434053,1.9825717995635714,1.9817850775148906,1.9100908887448647,1.8920510676442879,1.826266544874331,1.620163450813324,1.5674622621431564,1.4527504555283886,1.3700170054799112,1.4171064259523785,1.3228866144491718,1.2950169050654112,1.322241996042151,1.3412710789141167,1.281280592830016,1.2717220365738746,1.3216213667178984,1.309562902464405,1.2996977783757355,1.3216047930257124,1.3562923050252862,1.3506563874587363,1.456243580831394,1.5064803669255842,1.5535295105094074,1.4579090609434273,1.5099451972748508,1.4441229789399794,1.470242053345317,1.7169721401738811,2.1368958990602858,1.9314729035471656,1.9731160091421074,1.7414168459913288,1.7483267869716752,1.6275264565956826,1.9007229664857732,1.9582567811696014,1.7246901444722018,1.7987672691647647,2.0373019343831684,1.9019569906051077,1.7590837010573606,2.090167461784501,2.2128101806118163,1.9154722457794067,1.7757623823535524,1.588415683596137,1.6322364980272501,1.6108315754088764,1.5127564418906954,1.527368623368328,1.5229514324594084,1.4648951431350878,1.4279712329945167,1.4306953158467768,1.3609388033457057,1.3247434328784855,1.321990309673286,1.3114946674894092,1.2935617627879865,1.279369792114993,1.3702668830974134,1.3454046429828104,1.4386384012904871,1.3885177031882365,1.4084278301370676,1.3871720898746651,1.4096685858833014,1.4067048642769098,1.5289060212301537,1.5169712315050827,1.4119383253871223,1.5340669783216578,1.62815838533056,1.601620754283644,1.518967154260264,1.7462994229185789,1.9180803601267016,1.584300903109319,1.7227952999972818,2.0031659615445676,1.9618884080287535,1.7076043012817888,1.4702588249584887,2.038257167357663,1.6161740087571,1.6494753460477203,1.4673132077677535,1.3524760614791287,1.446902005606788,1.6569354862317718,1.3915392478509745,1.3247881582466687,1.249079970061424,1.2717892746693529,1.2983364040763061,1.2988650601506748,1.4011033988012345,1.3374823662227284,1.3027497345700436,1.3055837508217998,1.4224086782460204,1.3559656160929827,1.27001469337343,1.267201088188581,1.388879832371918,1.3327741582763304,1.3645869229924736,1.4233848772370674,1.9402511084972742,2.0184767873093015,2.884384573594566],[1.0656930592154723,0.977009616943323,1.0385468316763355,0.6942610547274768,0.7321371946159535,0.7221615951523852,0.656327979799701,0.6943009206733362,0.6557608515778265,0.6354825613321867,0.6286891226373751,0.6807290811558169,0.7247811309019744,0.6614782355436627,0.7268818437330992,0.7628160591029454,0.7645470129891716,0.838398369612512,0.9746061678267165,1.0571830152665753,1.2587361663002903,1.3198877937128946,1.7180912555379302,1.8358043566209683,1.8498753399387502,1.285435042170098,1.1360454410768521,0.898200242964175,0.8632090590656096,0.806908927911548,0.8327294846795478,0.8132199474152668,0.8189481881978746,0.8764550403863818,0.9174688262106008,0.9393147821462525,0.9312509225747884,1.1051064617600928,1.0836916192273887,1.2311292228354587,1.2673600961385942,1.2686309950103938,1.4189697283068385,1.6806406911774183,2.0808696068115635,2.4402054230373644,2.921139309332829,1.9984569939596946,1.8300103925328504,2.4376917966610105,2.26277993750635,2.0613795262813435,1.9677965607533918,1.9122480764542837,2.615058529684889,1.9654063974340952,1.7560975702674273,1.8531428460005592,1.6499558909073642,2.178673187918344,1.4850381207868673,1.4442643173552152,1.4036079330391917,1.447051413124628,1.4034709201079538,1.2200193156065964,1.3192771314609537,1.0134129348080039,1.0202416405044747,0.9489791684982258,1.077931883637134,1.4629843231000266,1.0499598801285623,1.1569976452734918,1.037936979610496,1.474105291731428,1.0668301282816672,1.0459646900550603,1.11750499937486,1.279870521827496,1.1066184546526434,1.2382658741623807,1.2601051813577677,1.3921353517174466,1.263748396986646,1.0992931064402827,1.1102793535935502,1.0730685109826312,1.0703528058103877,1.0146631492019795,0.9514174565825924,1.1386703266664997,1.0100047193313695,0.8575925508312792,0.7934322747418672,0.8088499114902985,0.7745384511208471,0.71917989118766,0.7061329384308321,0.7407691053578578,0.799708499415877,0.8648945451820561,0.9060796953508166,0.9123400755769092,1.169106643491526,0.9955309888756293,1.08640864261761,1.1889967193029563,1.0093529209169914,0.9756365883200293,0.8559727507455922,0.8606471525752357,0.7522520879309876,0.7629330537647857,0.7539351708182855,0.7974387632194377,0.8343254259968379,0.8223149184415581,0.9328095172338198,0.8227776381859964,0.7658352651535817,0.7726265422705372,0.7910430839487523,0.7126702197073606,0.6523486856082983,0.7338186918311638,0.7837527581250066,0.8470512778221567,0.9082336743528976,1.0076263140937551,1.073591155186126,1.20850869420527,1.2988258446228274,1.2037083705381775,1.1420585386882436,1.1869415206431329,1.0677636551535568,0.9514354132820743,0.8044112499655268,0.8898484337008582,0.9345659760213668,1.3246261664806187,0.945100849723249,0.9310391409961307,1.0492421677839834,0.8918853565822571,0.8480965979046377,0.7872242702498538,0.8127205869828791,0.7680025229036243,0.7481048332016349,0.7149468729395633,0.8988566895863453,1.123177330356802,0.9092914287102409,0.7329360560953638,0.7255753626259125,0.7980150776825877,0.8199927769917191,0.881660867168203,0.9470988973208706,0.9685015200103754,1.0050686471072072,1.0940752472357538,1.24360344335184,1.2379856296500618,1.3973454407450183,1.6079684784222914,1.4794058645446233,1.2045031924465326,1.1918484617820817,1.0630124723483365,1.1263231096425577,1.1043718249477108,1.0610044162448682,1.0075950670932563,0.9692240775387944,1.0063628882806923,1.1519152112480724,1.18205771360231,1.2238858399274646,1.0980514420223508,1.3171314083710248,1.4344176775374706,1.351173009933099,1.4663419619156468,1.3596156886050839,2.2903355595676675,2.143449355462513,2.1746222589328146,2.0814863968926303,1.7331362900583696,1.7735062073581243,1.6290433353001221,1.6978300378534736,1.6014351994346938,1.4328052856531115,1.3551542087168758,1.239253394946327,1.118861333386282,1.2029262545371098,1.0589767781177533,0.9973057267928749,1.0896869115946584,1.1175971636821191,1.0071720499615238,1.0301276368093943,1.1308077807763062,1.1029859169456329,1.0430790695151588,1.1478561674687662,1.211597608912823,1.1271415613346278,1.2972401493412993,1.3806119738237554,1.3907734714036644,1.4096224694331043,1.4394937532624166,1.3327507793233422,1.3733406492404838,1.6525791980016806,1.9463676736939657,1.716158982417062,1.6257521208252095,1.4666745894585256,1.4786764363438354,1.4062408049383868,1.6334673617079316,1.653817437528074,1.4919218857204166,1.54314412111759,1.7300137977043868,1.6073209677565896,1.5385787202077323,1.91550366595856,2.042890346334759,1.6645133233248628,1.7032185996171127,1.4017348190789143,1.4163305330990785,1.3972966872425823,1.296596627008088,1.2731021159816156,1.3003358486203325,1.2111039499216099,1.1798477639648923,1.2149561636873973,1.1098709808715717,1.036441391401716,1.0636397535313533,1.054384854251932,1.0140553376217627,1.027976470295167,1.1605569972852612,1.1241887722729804,1.2473174630571284,1.208079632262899,1.2471106554152422,1.2221747102249991,1.2108029543855257,1.2021404763610681,1.3162520055470064,1.3125962871722046,1.2176915922778477,1.308813143567453,1.3886876775189636,1.3750398973518798,1.3030962509649742,1.4685936839136318,1.6173473612908595,1.3754084931306367,1.502078501950793,1.74156887746426,1.7074383211576343,1.5159117503754396,1.3569226800424257,1.9143175458070443,1.5322180418717937,1.568275672254363,1.3745906409408692,1.2162001922408356,1.1628891870886482,1.3604307998543805,1.1435306954230657,1.1704039554253878,1.020427017001612,1.0837120582020878,0.9642938987548443,1.014357103937964,0.8687314915202877,0.9024753478671274,0.90747818581918,0.9390199741364298,0.929110402699228,0.8245143189046977,0.8744636759266204,0.8252989841673534,0.8675642302652385,0.7400707563179635,0.8715590072310234,0.8739215501511446,1.2517217418180693,1.3189185545746884,2.204335821332412],[1.0955931799974588,1.03269820148708,1.0184939776455422,1.0819693570732694,1.1247288094463708,1.1387796867777857,1.1330806239021287,1.1452803684723611,1.1660193172905382,1.1656697800531919,1.1657012005422056,1.211122005211403,1.2152658054684478,1.2103701160427234,1.259894904702903,1.2629679334388186,1.2350537972141356,1.268576087318221,1.380283191576355,1.4518298386496877,1.632800563530386,1.6443607210526334,2.029332152455472,2.0867929386680135,2.176600186682171,1.6889364106330074,1.5164905553859673,1.3341327546949935,1.2877303204392354,1.2696201538790064,1.2850142537572664,1.2877550417358223,1.2695386913411226,1.2840101116868214,1.3502481536360151,1.3629670314977314,1.3437684147712072,1.4906223007463795,1.4263596665122102,1.4742501012621516,1.520203181531466,1.587643047601644,1.683327819550848,1.8998098282771332,2.3120242201251395,2.6498680832293044,3.091161289676271,2.183439260099967,1.9804215463551518,2.573449882031612,2.366154873713469,2.2115267367198093,2.0449590678105922,2.056199211220662,2.705048457601204,2.0499682971092947,1.8997981882972725,2.0665724172570106,1.7826467116033635,2.1349391567359954,1.6780044404050938,1.7033340832243113,1.689369644379101,1.7706337277796984,1.6988945086350349,1.5573164911289514,1.6911937536629778,1.4361574322010153,1.3873307957857295,1.3847245310564393,1.538777023023245,1.9112510913280711,1.5062611316638177,1.4113564124509483,1.470198751093797,1.7458018223279395,1.4543191561983289,1.4282794039171174,1.4618453668290707,1.5180456073323922,1.4174256925413984,1.4748070090030412,1.5542562867820668,1.5644203803425918,1.5143395694644324,1.4322900001260916,1.4313609956264493,1.4034293429480194,1.436909839742373,1.3934121406971687,1.344154029251114,1.4423335601801934,1.3683032972714086,1.279925729281886,1.2562621834435779,1.306655585556698,1.3264396465707455,1.2491095379780282,1.2580253693966403,1.2656369967286416,1.226905442381,1.216882100387312,1.2535449447526947,1.2420846579471052,1.3586786275939307,1.2961730217556875,1.271890695203398,1.3159825102898017,1.208033729422554,1.2633138992502382,1.2035671073009202,1.2522016259485087,1.173562396513109,1.1936232949942847,1.2330741749034162,1.2680724134189716,1.3106519828691012,1.2870683668777827,1.3576397336886044,1.2690956362713106,1.2570490542486343,1.2477744479517507,1.2634507502510128,1.224432691484665,1.171354499815429,1.1813911789050306,1.1791012356965147,1.1759136988161827,1.1996246591216484,1.2525511941563139,1.2714653320489806,1.3179846564949715,1.4303048724645318,1.3693460343673036,1.3630067273529411,1.411438389992648,1.3256509824647438,1.2980090113087788,1.2879388446758497,1.3158201263616036,1.3524767757189382,1.6692789483364454,1.2907411621525626,1.3321967477204575,1.4189538933553092,1.2868619823837961,1.2791269671661099,1.2396435073817011,1.204784512887636,1.2085313962706843,1.153574184718171,1.176337237515624,1.270973868802088,1.493444530377498,1.3624821858212295,1.1945983784752263,1.204605937597565,1.1792256159275547,1.245402933579413,1.2315092352229586,1.3077491794158485,1.3344513780002338,1.3557074884550295,1.3980172210581485,1.446705848217935,1.5101111300151229,1.576053014430909,1.7466218124389088,1.628055455642273,1.4830796027800162,1.4270189336777015,1.360748755913489,1.381593256466925,1.3669644643249008,1.3574392196036196,1.3305904132712219,1.3460116423762556,1.333231200913082,1.4316424551986562,1.3962449586936105,1.4481185118473276,1.3427553490560387,1.4652641987696409,1.5425367181590521,1.5078867621940344,1.563425507188759,1.5145680344655974,2.319120790061677,2.128987588124053,2.1065393647682207,2.048739617095722,1.7625462747075056,1.7759279516209021,1.6741764990803032,1.684209747170275,1.6064394970274791,1.5295055597962282,1.4157541195791739,1.3008181561805716,1.2668444305453876,1.2570570967418635,1.1845050370074872,1.1753255257078186,1.1754224064700416,1.1664135645219567,1.1267129404255223,1.126736630417423,1.1442269574743542,1.129845815356935,1.1169360521379967,1.1557359199584396,1.1781191141548366,1.1821604483638233,1.359269457590099,1.312993548431084,1.244356056882951,1.3508192665158851,1.3547247939434188,1.2603273976234337,1.2902937899576161,1.4821972985620877,1.8114464769955438,1.5535094015124387,1.5667273580131253,1.374148721333008,1.3598149545709393,1.3671265017836831,1.5215819771387131,1.5465268577075935,1.4160804711955735,1.4570950796850783,1.6018824967867988,1.5025719841580316,1.4527986632758652,1.7876227368593516,1.9126782568904546,1.552560248735322,1.6549902267258056,1.38681224068952,1.4082208825106037,1.380099405701779,1.2973058316064054,1.2833432429438167,1.3012686580348838,1.2708794163919996,1.2541886929433386,1.2710310812385406,1.2200564748347025,1.2377552769226559,1.1592419323786554,1.1445214831872506,1.1603222872246366,1.1336393883382385,1.166233898010525,1.1507602139550825,1.307722625698414,1.1414517570082672,1.1771006309427512,1.166386163391061,1.1934058267388772,1.195971092545693,1.248090701890701,1.2554920315422784,1.2022802668956862,1.2610746410608138,1.2877708059175925,1.300451476950168,1.2546951183825708,1.3485268954744898,1.486695561662675,1.286854652573108,1.4365386536115172,1.591307341724277,1.5959111551887324,1.4303706061299333,1.3080855923480343,1.8762141917362307,1.531056942145608,1.4505471836380153,1.2226669277027276,1.145347457168683,1.1043404896186075,1.1700116637284068,1.1122035446682275,1.215005706706087,1.1042275114708653,1.1950293929572777,1.1673171621793195,1.2142683772898122,1.162191801634081,1.1229893754700664,1.1702663528425532,1.1306888164222844,1.17923620941741,1.1365045094824313,1.0850190558203576,1.0860559124472347,1.2312631264006768,1.0596857615638235,1.0062096814597163,1.0147311864111448,1.4237585434665394,1.4602458551845343,2.349480426145977],[0.8777501336585265,0.7821184093756901,0.7637889967797792,0.6906684789603931,0.7022963016750637,0.7119636199588916,0.6143725524010218,0.617347325596115,0.6509850199593361,0.6167546162076533,0.6170426238969496,0.6753007236919147,0.6589422417959213,0.650526713416828,0.7088161831125301,0.7198274223765196,0.7091904988934106,0.7771796692806395,0.9255246544646308,0.970726998595265,1.176562567706857,1.2402711437456355,1.5283582238350433,1.6531023751142444,1.7103644198557442,1.213528942726959,1.0506818030670517,0.8236155560032775,0.7859528799742775,0.7192753412141366,0.7807598982933283,0.7345330197514897,0.7264190464121161,0.7884627457036408,0.8144836189586052,0.8492594259260983,0.7932832186891248,0.957474700835768,0.9240404287854319,0.9512262994913385,1.0850028047137206,1.1304675474977135,1.2070807233864256,1.433459144977434,1.916399683437533,2.314295577212342,2.7384693814484926,1.7500865379374317,1.5512539389727475,2.2093771950089964,1.9225275478599142,1.9355126244650762,1.5609164796547703,1.6054840072634842,2.30593686604763,1.6154908076535703,1.4685583891710923,1.5904442689366254,1.3238057355747137,1.9849672624782806,1.2957254368649562,1.2341885697538604,1.2120358182234576,1.356870236441477,1.296225643869619,1.1225085761088864,1.294383002026356,0.9479918887699589,1.0112859110037993,0.9301182681907469,1.1080889316853408,1.4641729261803813,1.0639588914584768,1.1449049417747792,0.9858870250050238,1.457917532056297,0.9858537255000669,0.9394933334146633,0.9591628436571293,1.133666594606751,0.9108365686324118,0.9921723217289542,1.0741495507996985,1.0798029243602485,0.9936753013651125,0.8798421701937275,0.9246002575373675,0.9200310152329687,0.9415697647003424,0.8926009251803702,0.8679551341550529,1.126682249620339,0.9552836170583053,0.7805761280234781,0.7418058345538426,0.7926929736605192,0.7914797414354987,0.6915385448667681,0.6912971494231898,0.7252961703893941,0.687864592233976,0.6794160738351056,0.7394508370122753,0.7431800159731741,0.9506691498297705,0.8552069494571709,0.891674215478877,0.9650280163422527,0.8547606839548912,0.8764075092617477,0.786225738667694,0.7645089755044258,0.6581224367950161,0.6606718124480433,0.6909975031876999,0.7272462945195517,0.7927183444562249,0.7957704594432077,0.9230609514685392,0.7678062024583667,0.745868398775854,0.7348880355210385,0.7590499440659022,0.6735185430932976,0.602941363243029,0.6511966613258371,0.7216807713373433,0.7277547798539399,0.7726713277926818,0.8364452012752641,0.8898389977636808,0.9558850238216698,1.0453102561287775,0.9588867910910324,0.9459977592867546,1.0921116668374904,0.9433727105584438,0.8913079972928037,0.7824067065964705,0.8110769553154588,0.8904943934899445,1.1862211143611827,0.9023387684558539,0.8453256146279775,0.9764208441603252,0.7704446015723762,0.7414519568145891,0.6803195819721701,0.6767933605230212,0.6736861664710877,0.6636043711902984,0.6695045045940992,0.8192659502095573,1.2153714018855715,1.0180734400918428,0.6739291233819868,0.6556218690252649,0.6624770030984928,0.6906340276040374,0.7172852720488742,0.7919459386343016,0.8155641665357608,0.8695631814628609,0.9218210838302694,1.0319100795556178,1.0783939106362848,1.133234359418069,1.3248968931181981,1.2633280475173687,1.047324912410144,0.9993783607904585,0.9386521962979054,0.947431938475797,0.913634383528676,0.8729078167480508,0.8220689938799383,0.8028063845632439,0.8159302112551167,0.9412962202438709,0.9381626190180896,0.9818634106684409,0.889474174178454,1.0263032127035119,1.1096409399193465,1.0403862663107333,1.1298143271169072,1.0268744435602966,1.9522019426231991,1.8795332381647656,1.8162341113517178,1.6909972946368237,1.3713180655149049,1.4562398325571888,1.3270754278460464,1.3861432425012254,1.381315412788295,1.2268581435198653,1.1683155630910724,1.0876769860085598,0.9888452023672907,1.0520713034209923,0.9377641072268251,0.8918523830964002,0.9681458978957623,0.9867627380558085,0.9141928070809251,0.9400674128193581,1.014498161930244,0.9928074947984935,0.9762649604278433,1.0717313943047786,1.1232298662422637,1.0849073675987977,1.2929305012634944,1.2941250913092404,1.2205870176460896,1.3585579195486843,1.331907023642311,1.2135240907502252,1.259884537305203,1.4745073392188799,1.7642412606172644,1.5483059978343403,1.4979845083647942,1.2687219206651101,1.2379122653314785,1.2020067621658395,1.3743517388726665,1.403241163624888,1.262816118063191,1.3327834908601306,1.5020530293522323,1.4014855316824038,1.3325208719132646,1.6071002200098854,1.8361846072217562,1.4831510899167042,1.4768215245015694,1.2399158870447657,1.202426711809464,1.189982408400341,1.1094335866522924,1.1036151469613071,1.1446607430985127,1.0554667286304784,1.0534520428803513,1.0812844401775408,0.979200710809176,0.9685456496532149,0.9388937461573601,0.9478734695218686,0.9533501292151847,0.9555947929356511,1.0309208269506953,1.0238783970847654,1.1849203059335152,1.070718198321283,1.1240361228189566,1.0881470076132933,1.0788538358873296,1.038406867170361,1.1375996426614623,1.161752319177497,1.0822521004002201,1.1352992562723232,1.2131099134002068,1.216922879100147,1.1369738682720512,1.2681056455452686,1.4445980126852256,1.2253740098605101,1.3418164088992999,1.5560635550047714,1.5929769347950415,1.4233714708106986,1.2708722956406762,1.8558417426937868,1.52549952071505,1.439856405472294,1.1936046680457353,1.0785893159453872,0.9957826181274724,1.0855831510955798,1.0029364801768663,1.1285036632525405,0.9559131458732584,1.0459522665995182,0.9080120643103213,0.9181282694335743,0.7716566717017247,0.8666076117712534,0.8770409795004849,0.8647984753126776,0.878262893075265,0.8055808995590661,0.8234946659488126,0.7958265758320724,0.8463563465013412,0.7251806784696596,0.7500035679485076,0.7321159985434887,1.231685270582736,1.238843107282606,2.113462192421601],[0.826945874161946,0.7555476403634512,0.7031382936180118,0.6563916931047837,0.6645180830416505,0.6855074632202222,0.5976512142173938,0.595475301074775,0.6686579500517155,0.6766219514349106,0.6896954653616301,0.7025951890186598,0.7243506977111452,0.75125848231389,0.8211133646787353,0.8105444105986295,0.8176774774190351,0.9073021639206016,1.056664116234615,1.088217454042675,1.3055005561973987,1.3428429709706606,1.6201185809392464,1.7367268028422556,1.8044155397322768,1.3534956359292114,1.1517884650075096,0.9244954334420324,0.8824175619780198,0.7974554534141118,0.9066671393284561,0.8020867877054121,0.8191621034326446,0.8858236171409335,0.8851007672749445,0.9484100652290524,0.8454577867469434,1.0119321930195881,0.9794116876309207,0.9719077156852769,1.1153281171686489,1.196202501125022,1.2525400688416608,1.441252970140183,1.9662900565147872,2.364791874581021,2.7894930001849425,1.787553122327341,1.5755939026230241,2.2358675456122667,1.92690352561449,2.009611024308989,1.5469536505881845,1.5601859754140548,2.1988818324801844,1.5672050964155124,1.430916197809119,1.6038751511265787,1.3103411497152073,1.914901796854369,1.3287297758990637,1.2808123788376498,1.2838782712190282,1.5103177695843166,1.3827323075913371,1.238092901362621,1.4553230681672418,1.0895261629398127,1.1723686847402057,1.076547593986568,1.2233212777430162,1.5437301437349589,1.19920536170709,1.298559277739957,1.1162230509588642,1.6266402245356137,1.105854420042818,1.0601056853265673,1.0614323094564444,1.2328715965676076,0.9682771960244828,1.0316620778593972,1.0995137678829667,1.064810156997628,0.9908706402305267,0.9033519727747077,0.9847795390418014,0.9615310760276716,1.0395437982408493,0.9859551391693854,0.980475969124041,1.2765827639317835,1.0980344802335777,0.9086921131031156,0.8751851760199485,0.9239386814925588,0.9084383390674156,0.7966801514005913,0.747641163702455,0.7379683210220762,0.7186459716451412,0.6483064430447343,0.7346779901814636,0.6844462134896909,0.891596671479263,0.7838190672306039,0.8066864551156024,0.8882096342180121,0.776078400356429,0.8124188147600642,0.7162987097979722,0.7082281675635524,0.6355312100024058,0.6633967619298978,0.7412128786172637,0.7865471711333853,0.8760584223026533,0.919237257889633,1.064268669189651,0.9091288648924589,0.8956317293286158,0.8579015341370909,0.8634612531222675,0.7496189700746111,0.6409719358650166,0.6576878613450199,0.6856388502144249,0.6945594727338438,0.7117859972268202,0.774186313012295,0.8279794372008611,0.886054601066422,0.9794628110091236,0.8891733699904149,0.8971613953974826,1.091707059030691,0.9123326532194164,0.8991384539175843,0.8134214899656429,0.8446330701431803,0.9576345531063432,1.2349851255851572,1.0121746064401387,0.9180308666439506,1.057944203843829,0.8227087335005884,0.7842436217528191,0.7139043796317203,0.6757083574108358,0.6671829843496515,0.6398876817454746,0.6349016816782636,0.7479009484323932,1.201258314094883,1.0266725714685763,0.673532961140456,0.6596873050210982,0.6338500665239676,0.696866246852396,0.6718318941611825,0.7757433081735973,0.8362032431532076,0.888926790200905,0.9432271011124753,1.0425362837120453,1.104947736581576,1.1105818147903785,1.324230284556578,1.2471298587537982,1.0339806741699298,0.9667062526264452,0.9323786369051412,0.9358951491602192,0.8982763746246187,0.8600729909463827,0.7878335560533788,0.7925509989492603,0.807785028816405,0.9347940612217233,0.8970144278412605,0.9581127920350186,0.8482512294924867,0.9744279675715983,1.0578012700784452,1.005715803079942,1.1288605502122042,1.0373761624820887,1.9947636827768327,1.9354680438030605,1.8492030000927906,1.7046048040550368,1.3801259328621815,1.4533873153071586,1.3070170852808092,1.3421097226235796,1.3124780689743116,1.1447696846872155,1.0919832696377534,1.0296396953511198,0.9384965831870724,0.9944201517652164,0.8740166895864167,0.8339683850159402,0.9169562338388311,0.9434893532902192,0.8663955140992833,0.894418859298402,0.9858986310114731,0.9716095318981472,0.9599747131725828,1.0659671502890953,1.1285461498985667,1.0876986660577632,1.3101818198326916,1.3013146724192919,1.2005950763201898,1.3815665625299625,1.3386132454327053,1.2173881781004168,1.2733154443150116,1.51787609219797,1.7752662720606833,1.6047001982559013,1.4989043055069633,1.2485987153496552,1.198345600335529,1.156656294781608,1.33750661730854,1.3799365551499867,1.2189248809448967,1.2933721240189207,1.4699055155543685,1.3891726427368438,1.2963760157683082,1.544631715247641,1.8117592616963458,1.4610070294955702,1.4490348598727694,1.2034129878910294,1.139228271394788,1.1351536891895133,1.0524159801518262,1.0417737126401196,1.1008177002264021,0.9858697514990392,0.9876645023758647,1.0387905999104663,0.9217843877996525,0.896308526563193,0.8830409205164698,0.9031611019513184,0.9149940756835913,0.9219404592368566,1.009512327480233,1.0173111127228236,1.163204063397406,1.0813939840554037,1.1390532438892198,1.0870760718751202,1.0590141274617615,1.0044893645297117,1.107850724212451,1.1520125883087269,1.0597598512704238,1.1064558811614955,1.2052413471427965,1.1969847886108558,1.1091204893654019,1.2613967543676734,1.4408127924722194,1.2118501068286451,1.3346096711060138,1.5547838131754796,1.6214638797292658,1.433161133882108,1.2562102704760953,1.8437172707423137,1.52481993246227,1.4307855497582633,1.1960996833831876,1.0682660493438425,0.9809360514244381,1.0516563476580765,0.9800688628258295,1.1253165894443748,0.9220233240772076,1.0142422975265302,0.8481951133199318,0.8617256756082816,0.7092062013196397,0.8371013098610288,0.8385693559763611,0.814507742128562,0.8443769561624923,0.7560517508422899,0.7913639118285779,0.7690372018397306,0.8207804676091389,0.6928908087759993,0.7625913536815918,0.7295774314603504,1.230075942090728,1.2292384351666445,2.0722765929128744],[0.8111544478901553,0.7506040411404087,0.7023353436577391,0.6803379061027175,0.7299436949516197,0.7164854818537801,0.6333395047480207,0.6227776884675716,0.6759660699510348,0.6909772098139472,0.6941580870685837,0.7130491577292484,0.7550732007356578,0.7685086364769462,0.8365047871988976,0.8309446442616483,0.8513372387087855,0.9403652509201341,1.0695568249277938,1.0983310110024982,1.2913402632405815,1.3293775044310512,1.5650464083219437,1.6947173850623654,1.7843938605843288,1.3591219073012781,1.1583877983037452,0.9561165444732728,0.8990367068430944,0.8191321433102435,0.9279310308584612,0.8182715805261815,0.8361597064041455,0.8988046394123311,0.8976579115410899,0.9637725358673876,0.8585561383078771,0.9979178400084139,0.983898557355643,0.998623188638953,1.1130332376877328,1.1649293207503824,1.2138242515243525,1.3890995886994129,1.9116576936661043,2.34825204345626,2.7048205207805944,1.7157578003074814,1.570801208542444,2.1844010729746777,1.8169971746380948,2.0551399192882513,1.442407000297326,1.4878559899988868,2.114734934901086,1.4790504107049562,1.3721705888429299,1.5303573958645738,1.258319046231032,1.8841487439137388,1.2979068138412897,1.2522994140951778,1.2730939462815394,1.4760240342122828,1.334050685799101,1.2402156869526588,1.4381638206945937,1.096598563420213,1.1975352049573553,1.0833023713521048,1.2065243718627727,1.4890346196330906,1.1752874845271146,1.31205772944939,1.1235935068341296,1.6612323068839376,1.09312534569092,1.056317076693058,1.0585251032639824,1.2195691814831415,0.969486675494731,1.0377192663077464,1.1405127512330802,1.0565062286831322,0.9968937502835796,0.9193236122730399,0.9806250377937152,0.9741871999640274,1.0391263374435922,0.9838370158392948,0.9990525142701918,1.2746903327474473,1.1223521756150954,0.9319344500573655,0.8941385089186947,0.9461899825873039,0.9071185156223119,0.8024636225992879,0.7528391799474743,0.755795511871868,0.7383217458584007,0.6802860054020475,0.7727018231643263,0.7293546564535252,0.9028393021383203,0.8156353674029376,0.8310452616045892,0.919666697174521,0.8360383907565642,0.8558212324042964,0.7840119150070265,0.7500075990207947,0.6752729941484641,0.7099031391384829,0.7910357019225439,0.8297192029998103,0.9134488223963805,0.9688866488244131,1.0960271602965639,0.9473666399250719,0.9345233991637132,0.8893727209678284,0.9100858083277741,0.7822250893212597,0.6831502362081138,0.7074234167858784,0.7322517878481973,0.7458823658179847,0.7687051037678172,0.8072679940894155,0.8434523126420249,0.8743755006275905,0.9583138425144969,0.8887248025926788,0.9072874810823579,1.1031945872380529,0.9140817330379056,0.9158878969181764,0.8501356268873812,0.8936371295360153,1.020069417349933,1.2647718729429158,1.059682196548544,0.9656615839127306,1.0736715521068507,0.8639336056934797,0.834335281292629,0.765113498361056,0.7168275415954598,0.7071982465707838,0.694796374176003,0.6649205180507134,0.7477116443530814,1.2503189130773034,1.074940119775752,0.6951129523991664,0.6842677667336994,0.6799692700299781,0.728333519186906,0.7116758449161862,0.8060662251252578,0.8614981653448508,0.9264675942801566,0.9760034032712015,1.0620726432426602,1.127435996496909,1.107131338538256,1.3064176958844704,1.221014660446827,1.048824472501267,0.9838689086788325,0.9674238834209314,0.967647184713243,0.9182432499895731,0.8880787111448895,0.8144067044593153,0.8068932085902605,0.8324575870672593,0.9545492521686874,0.9133421406421711,0.965441979064901,0.8606485475646694,0.9527942394416684,1.036546298601841,1.008847274319835,1.1223337367972928,1.0817121119616202,1.9284136084660342,1.8925763976162417,1.8193808772496665,1.6572123535021595,1.3429556462462549,1.3968540158093783,1.2540909483318206,1.3040863723311844,1.2769737313339646,1.1072677039604577,1.0636266531843452,1.0327793106318268,0.9603453806869787,1.0056773550703735,0.9068517231137149,0.8826054534430803,0.949450532560931,0.9703739082417592,0.9165120313505535,0.9501529374723836,1.0247343795569692,1.0096774492222138,1.0059193657923122,1.1137428902964195,1.168776315257961,1.1332594754378607,1.3455137754536284,1.3413967676991654,1.2322595702524677,1.4278806348786612,1.3476535148705555,1.231169353347922,1.2887560163679246,1.5131258664286387,1.7077027853546263,1.5933893254827447,1.4705845056381317,1.1837525366582327,1.1294268425368925,1.1227150478423802,1.2732359826424269,1.2873120206903585,1.1733551160196807,1.2689798552501514,1.4025447437040615,1.3458943883498735,1.2672621435816844,1.4485068807902872,1.75012752846427,1.43913899359507,1.4033837694465858,1.1910756051826898,1.1100420562719007,1.1184379601319259,1.0525106368052821,1.0700266596033154,1.1075670833731681,1.0028895914785907,1.013181546558864,1.0457753363626083,0.9479039056897649,0.9426070562335666,0.9225399312469752,0.9560413177835608,0.9897184568807905,0.9803551660764703,1.0510619473308256,1.0753569815359014,1.2217754448778821,1.117404569190655,1.1630765630934934,1.107637093301867,1.0672149928575603,1.0226549950203496,1.1111583785306567,1.1414895789238644,1.0681543084719802,1.1032533212481928,1.1745277563758574,1.1729544435048826,1.1087641842996525,1.2220490355794038,1.3726328397908063,1.2002270017469054,1.3146312267038414,1.4966146097263242,1.5928455033000122,1.4312181198969767,1.2722899604660152,1.8231618796280205,1.569967356305042,1.437636180866056,1.2405997871679277,1.1090038673920046,1.0336933195885794,1.090067584358976,1.050015917290124,1.191435770939378,0.9692422863963279,1.041266177838211,0.9034582260810794,0.89986437768371,0.7749779722681582,0.9050265377348232,0.8989570904408883,0.8679494748842046,0.9377672723370598,0.8320053120586375,0.8512379006713127,0.8305222371189424,0.8675502715791813,0.7418212592087251,0.8136405167899334,0.777775932025179,1.273938092743926,1.2733444569202559,2.0639238084293026],[0.8649006087857317,0.7849364728600817,0.7470455335990162,0.7411333338786389,0.7333838217521744,0.7175538169575821,0.6152092712682854,0.6142306549581705,0.6784498223281759,0.7057565200165569,0.738815231598015,0.7399053222194624,0.756804233046285,0.8167568124952805,0.8897181178877877,0.8524647666024102,0.8653571590618189,0.9772633134304032,1.12708148635201,1.1126219763745864,1.3148902797563857,1.3550031880409528,1.588662328262208,1.7379674864994732,1.8008835176891043,1.383909696933585,1.1578628236077215,0.9460288478815669,0.8857353084459246,0.7858610574811681,0.947964042243237,0.803605418997758,0.8380822413610272,0.9033664363941304,0.8774156193675514,0.9505486804692025,0.7953578339262358,0.9459440885622501,0.9301178703025887,0.94423318301046,1.100845538843577,1.1635289156607243,1.2089314562456122,1.3976049374243982,1.9328631804438101,2.3586693555122356,2.7318278092640536,1.718133694160138,1.546828157942561,2.179266700174471,1.8183905385465928,1.9836953648986448,1.4328121097310034,1.4956819766072198,2.191421634089317,1.512555451465602,1.4017936614428859,1.5120998813216895,1.2810671069060986,1.939577284253706,1.351742883239907,1.2797835091654457,1.28073698583386,1.5311095804785806,1.4066775031313616,1.2408552886967816,1.4897459537354463,1.1328908639612876,1.2709655244319054,1.1762671817961348,1.323222805181983,1.602375618124527,1.2897047519735785,1.405388363922039,1.2047129802086984,1.678557506189374,1.1234692612741446,1.065170141462572,1.0454442148900156,1.1832326882053175,0.9157528415996002,0.9860669949927928,1.0589687054336614,0.9709842877142607,0.89994536087742,0.8287480727194378,0.9337408268334358,0.8994477892628915,1.0189890159734023,0.9649567114898164,1.0078357128898254,1.2740378210661358,1.1631551959281943,0.9755858314006973,0.9349072327887026,1.0219812551106287,0.9682965236056074,0.8075638008217833,0.7518979661190573,0.7325833487446913,0.6918809302735269,0.629534016190713,0.6862660300642235,0.6829649579416933,0.8451428301189144,0.7520947979175675,0.8266028248096836,0.9025145896813864,0.8462746607731794,0.8417783727205066,0.7621095058841102,0.6852174241374583,0.6074267239083075,0.6432038919807762,0.7508596102433271,0.804184641776174,0.9214206263376507,0.9719127809394591,1.1542009885075426,1.0084701162258212,1.0252069569525373,0.9508055322193819,0.9425300695567965,0.7694651799914873,0.6556771691695968,0.6343340525998219,0.6659402308246832,0.6741493860530582,0.732486660843373,0.7641788908053757,0.8537338603193227,0.909477012333118,0.9564528691157478,0.8586331503040505,0.8588746135421297,1.009567542734419,0.8648029016573684,0.8352687373983974,0.7822285744692985,0.8248185419872492,0.9860736463475958,1.2554060609031605,1.0387612157593609,0.9217607586039043,1.03165424780583,0.8247154736860077,0.791290208970787,0.7113068669018613,0.6467444481095205,0.6567721049914229,0.6524019330758445,0.6500660931358596,0.7503888062651578,1.255990062267967,1.0359976769362718,0.6639974140154911,0.6250215027057577,0.6354510448218592,0.6583671195643004,0.6526816675760851,0.7196480869496956,0.7813161292701298,0.8471305387716552,0.889187673992065,0.9806786485563108,1.0444570510595732,1.0524377401794156,1.2704372463281963,1.2019839730706994,1.0060850960929673,0.9243975716673146,0.8858671126343884,0.885082208497336,0.8396869750882594,0.7977498736312381,0.7195360589023274,0.7274041038739475,0.7292748075509657,0.8474219315643365,0.8319557897594422,0.8636440407158107,0.7725029246823498,0.8917749426435378,0.9837515950758712,0.9457487371640132,1.0535037597739945,1.0312776279214337,1.8619152964212569,1.8532377798574415,1.7955022126137288,1.627711714676466,1.3051438756388376,1.3890903241768733,1.2619160170884567,1.3440036928020382,1.3523232727176184,1.1803451091961608,1.1474908811277003,1.1397958027823316,1.0551249708518526,1.155503556503381,1.0365809022902213,0.9748068578775733,1.1038884264154818,1.1493573244779736,1.0483258684082954,1.0741449386314597,1.2014463934714479,1.1878525508959634,1.141849712745251,1.2697295076960031,1.3412184474808797,1.2743386766332656,1.480904644910632,1.4859538182576473,1.38041983093717,1.6187122736442596,1.5654052837031844,1.454058684707398,1.5110120361492423,1.774889634392094,1.9814659940123787,1.8690091912430553,1.696990041243118,1.459479776026616,1.4016860451569475,1.3357830995664552,1.5153252937553907,1.5669884878469416,1.4007718463225454,1.4534930374208355,1.6232578934832402,1.5724733621048865,1.4575365198819208,1.6343215060591847,1.9822299558541225,1.6198498452489611,1.560195767798112,1.3489757106372118,1.2225782132598988,1.2600693902099531,1.2069561948499696,1.1809980118875498,1.3049640778027207,1.1278824451578022,1.1432737918422402,1.221730418403121,1.0967548776863092,1.0737575796197771,1.0733802847415799,1.1109259739727095,1.1263036762694132,1.1228742206270321,1.239351833526034,1.2612296685066708,1.352454733330344,1.3008885281697418,1.3731737302830687,1.3303440714724326,1.2967856688205257,1.2250543604183757,1.3365747548015556,1.397398512097283,1.2835539809572283,1.3192267752971738,1.4264778681765926,1.4191236873716797,1.30857454587217,1.476951124547023,1.6312868900764652,1.427612476900671,1.530101090679027,1.7575362867351538,1.8525613339296843,1.6677326952269325,1.465363415271208,2.018186424441926,1.7186838707850827,1.6406199131968981,1.3930434887971312,1.2700254024972737,1.1340711091229598,1.1586805771831354,1.156598486517711,1.3349961712863307,1.1236346074425265,1.2073551223326764,0.9788601892098211,0.9728470377251809,0.7670877053029671,0.9738645687642306,0.9565983924781651,0.9527081000095914,0.9600390250435206,0.877625594342209,0.9539622033040231,0.9466752746243663,0.9432048671095241,0.8202315471744939,0.9346479997550969,0.8753781214845324,1.2043266188659254,1.2437993300328747,1.8786098886701363],[0.7845880728577389,0.7077644847503932,0.7102875884913388,0.7078778493898565,0.7344699766496767,0.6850461024299321,0.5536424952393182,0.5653202964860495,0.5876394274241683,0.575983143163703,0.5697109377787121,0.6104281816378087,0.6218521850303078,0.6249512521427364,0.6844251414031871,0.6912250786915823,0.7299059859657578,0.8087372987057517,0.9653666233893277,0.9887767907123021,1.2008425919176053,1.266565028179194,1.5250056551720466,1.6781645748198801,1.7280559650142304,1.2543724745933322,1.086398260532674,0.842087742827599,0.8032861358882263,0.7047593438856267,0.7887133576578582,0.6911012152942643,0.6953009748015435,0.7953230388327649,0.7883884333070551,0.8528751164326327,0.7823824304006988,0.9613056481909001,0.9360114522486421,1.002525858684472,1.1613170164631634,1.1678182270476996,1.2189825818763598,1.4391910461113957,1.87822611443866,2.287318470173472,2.669933158666179,1.7152231398657694,1.5947872083723411,2.1976065160733893,1.8754619129163932,1.9455542207423053,1.59612677438457,1.6474026866461755,2.386778621153925,1.6997381250144374,1.5438000904233384,1.5105788599488614,1.3633927943259927,2.153867715054871,1.3361467100398812,1.2307551775699561,1.2058850536122032,1.3737196524749387,1.2931820358067347,1.1464025403677818,1.3063787126238293,0.9617874631010905,1.0781845813686999,0.9536336779888865,1.105031308049609,1.4111595032559234,1.0687133995487126,1.2130640184577355,0.9919087663479064,1.5133856008365645,0.9918564785301465,0.9464648582097246,0.9655804411928387,1.1617248728884695,0.9236515378585335,1.043118476887339,1.075192864375292,1.100213327320714,0.9995069915181038,0.884658105944002,0.956011708481365,0.9284555907657491,0.9492735277953354,0.9018690157324255,0.8766375783522503,1.1425305285865193,0.9726420902938891,0.7727411858271721,0.7362831940081598,0.7835511223600291,0.765904311504848,0.665415789898037,0.6410854630068102,0.6821008740859451,0.6554158803284099,0.7002989595641211,0.7268800327845247,0.7675342726310964,0.9337293887078666,0.8475006528071681,0.9508203739334017,1.0354521876489424,0.9590355771720959,0.9532828245510121,0.8331555137975446,0.7644005664004804,0.6233924883187726,0.6534688226374771,0.6667805220433972,0.7211033392184957,0.7926542031817647,0.8399260415438108,0.9851225534980476,0.8053927811501274,0.7889395089727145,0.7468009192469163,0.7754905426531727,0.6540837776084983,0.5539789561606588,0.6640202311326154,0.7074311956479125,0.7880959243723225,0.8560050824776326,0.9041576183782974,1.0238684159805973,1.092891337466273,1.1384011445453925,1.040375338491568,1.0251255608273286,1.1162867062383421,1.001182352105632,0.9416166164985222,0.8242097085732895,0.8478502979218271,0.9496456803683062,1.203435459718095,0.969141368557346,0.8799981570980123,1.0021220358991565,0.7923835768644355,0.7544479506686136,0.6653675409463177,0.6685989393749704,0.6255630489799441,0.6812197352375062,0.6051223607756094,0.7806866120526811,1.1583306680772851,0.9084893710062067,0.6441294614350829,0.6137675587982764,0.6718417189874859,0.6596042776683637,0.7168684104203162,0.780260599597055,0.8152504746278239,0.889168295008343,0.9385108039550601,1.0665064811544316,1.1170641160235455,1.1771918654232114,1.365903545261125,1.3244667855854924,1.10386728537629,1.0607575078701992,0.9812738916098476,0.9866305040445401,0.9430901585918511,0.8771368625350967,0.7985307765340016,0.7561095809654339,0.7870464253032832,0.9050507461810734,0.9220884579891501,0.9845031699787651,0.8920529784693029,1.0556074343435415,1.1529947075498836,1.089991613672695,1.162656316798042,1.0986531079466844,1.855809331989322,1.8584326962350388,1.8492422121732095,1.724940119816066,1.3809314132536452,1.4742880372640468,1.3956951571731384,1.493569502769577,1.5128828561837073,1.3455971612575996,1.3217828766385227,1.281349214615008,1.1891546166543998,1.2540028062305246,1.1170285545389682,1.0575699609619302,1.156359014373922,1.1859421961433918,1.063573204665572,1.0846489573256197,1.200383183945376,1.1719548191598161,1.1081955412513016,1.2215541278045703,1.2899061886624152,1.21820014054033,1.4327070149147247,1.4070782528669916,1.3266694030315402,1.5379256198146034,1.5190243045279663,1.4135782738689169,1.4745686819856154,1.7257329820267426,1.992907197007179,1.822035636044908,1.6855627770798174,1.4966581071418084,1.4591257255280492,1.4171859257525363,1.6235050111425373,1.6475399574636083,1.492297024821937,1.560620143823129,1.7258859779595048,1.6542747874546462,1.5702956547518516,1.7870472427321675,2.0627020614811356,1.713488198656232,1.707677307112561,1.473447387003079,1.3983242158532736,1.404433249218815,1.3099751596309464,1.2770007494891686,1.353836327614602,1.2182515056417664,1.2295919279723557,1.2771913977335567,1.1508919978206573,1.1099128576865491,1.0998906737596104,1.1095825717620258,1.0992571208090949,1.1001256042527319,1.2127986543889988,1.2135250215555777,1.3092750504664044,1.269696432055063,1.3447386810720623,1.3149562800593808,1.2910752753918835,1.2339880792935334,1.3416732227603931,1.3758590747622332,1.2810899878754924,1.3446064795602832,1.4406829892691515,1.4119910558315576,1.3440154576337968,1.507938586915675,1.637051743157626,1.4397004487860077,1.5825548368630664,1.7915942102117601,1.843241706455515,1.6581589559701,1.4622424711531234,2.0166610066151063,1.666136881470587,1.590084693045642,1.3344576803721475,1.2365205649828492,1.0839279047702022,1.1260538132353268,1.1318452225046938,1.3040732784724351,1.1476483260988213,1.240861242460924,1.0408029799326626,1.090040702451531,0.8498254093426993,0.9725791841163814,0.9898805985444482,0.9762196360682304,0.9346626174487729,0.8537620690762237,0.9204089878400807,0.887548401053089,0.9035410868917184,0.7618944689291703,0.8252281606503727,0.7500379928012552,1.11119280478971,1.1107685684522963,1.8211386273269723],[0.841660240477932,0.7355304758907362,0.6856251560927141,0.6374737396912553,0.6811735666224495,0.641246972086521,0.495385372853034,0.5034777352952616,0.5227301928872189,0.4662965466573188,0.45738761266666855,0.5102845838728703,0.4954178884368213,0.47076434944701684,0.523627304223805,0.5244326099602097,0.5495625715167718,0.5935999394709105,0.7274144992462005,0.7392846717523924,0.9094192047631864,0.9810509294096709,1.252157264361111,1.4056545443608184,1.537290791904795,1.0123263905844806,0.8409947077262235,0.6047349065957677,0.5712129274375803,0.5045746319857478,0.5833596521362899,0.5096283797885862,0.514558482108807,0.5786559580445698,0.5657924124390928,0.6130458268821639,0.5671906710021684,0.7372608957516699,0.6763988005136318,0.7735314994145169,0.9376563281092677,0.9064840158672391,0.973448419714996,1.2488057400677097,1.6574229267460674,2.0990567124917185,2.4134839644193806,1.456471136321834,1.3892192379997665,1.9930742771234153,1.5997868838414109,1.7333579343377759,1.339298008116977,1.4850397821013368,2.3370505568868944,1.5474504488463938,1.4063367375102473,1.3222991236138806,1.2006429912153882,2.060436881416263,1.1079688492868947,0.9935507956345528,0.9626082944654065,1.056198522270967,1.0501843869620333,0.871555680062702,1.0257273340552708,0.7110126521369293,0.842555180256128,0.7387793102892912,0.9132032677404519,1.2487850877312014,0.8687941510626821,0.9898884205672184,0.7746139500097379,1.2949921039772092,0.7416717166748144,0.6900729062050436,0.7143338054882968,0.8580912183758223,0.6654598575677324,0.8127605390829393,0.8899067893623109,0.8611192690239121,0.7691311306704791,0.655538000463935,0.7108109416861683,0.7039665710509917,0.6836480183561185,0.6655643798317654,0.638572569703509,0.9125279373132781,0.7768560578080577,0.5856647528449512,0.555261230069651,0.6314528558582999,0.623065792559669,0.512044082678464,0.5169378110585207,0.5968294307002074,0.5180663068553062,0.6081339425931581,0.5820105390601517,0.660639560808842,0.7980157088503567,0.7337134663879649,0.8338975554451317,0.9132813909783317,0.8469460798675413,0.8480792371256244,0.7524722300849119,0.6566863377032954,0.5240882098389917,0.5212606341781169,0.5137917537593093,0.5465693732539887,0.6138022800876755,0.6080049053573828,0.7451820988431334,0.6009502770266938,0.5937262800825396,0.5795264267647198,0.6119909542698607,0.4999910621336267,0.42957701003888765,0.5317381184196113,0.6410980629408694,0.6729826369820475,0.7332639748323021,0.7546690950828948,0.8648176540359593,0.9203096313707405,0.9497294243093064,0.8536114317773945,0.8418395024131908,0.9480672546027342,0.8563343825865967,0.7617965576221788,0.6380936908512725,0.645173635012705,0.7443703081085141,1.0485544959927497,0.703990027747806,0.6445765056581039,0.7443922554966412,0.5744335521856038,0.5540504290493321,0.5152940116505271,0.5374527276421174,0.5372966173225753,0.6014661315365443,0.5435839760926457,0.7401888352956204,1.13799064117036,0.876945910635659,0.5773576015433514,0.5215502314382795,0.5781032567727045,0.5260058719346348,0.5956267773410614,0.606115066275769,0.6019480979102222,0.6679181859362935,0.7089978972662381,0.809472116563515,0.8690012973463156,0.9598219393674586,1.1853163522861287,1.142246524495737,0.9426269618964495,0.8660390936424972,0.7736943145282688,0.769487179233223,0.7396481444384508,0.6766009207087104,0.6137008489728888,0.5830887586489955,0.605755007651757,0.715809084152785,0.7385513553696895,0.7624296021194463,0.7079921818915267,0.8351804710393869,0.9343157158720045,0.8816829418724197,0.9357099870635607,0.9250423190117513,1.5918061839931077,1.5883038088941865,1.6748604521609416,1.5461587628531908,1.185565632046585,1.288226071612926,1.1854457406251446,1.300726970715514,1.323555431056445,1.1730921250347772,1.1379854679095096,1.1118541452450852,1.041287653646466,1.0974902913776245,0.9867663174140178,0.9439124987603259,1.0270402314946177,1.0513643099116723,0.9616561241218836,0.9801033321527252,1.0685548263170546,1.043677130790036,1.015177506715508,1.1101522323805368,1.1566591880078358,1.1044147259608055,1.3011802240515575,1.279012990691366,1.200931279418003,1.3759343687141832,1.3404025653341647,1.249389021812205,1.279874370635873,1.5512424593546377,1.724677298866671,1.6536039190822047,1.4992598024458668,1.2612405052856042,1.230684300331017,1.2142514376365625,1.3793899100202998,1.393373148437346,1.2707676089593494,1.3537284954062176,1.489725867612525,1.4321335441764083,1.358400609755728,1.5389606897129757,1.8351841238342408,1.5038513143786731,1.4989230351791933,1.285694005868998,1.1992941439955678,1.214975467310677,1.139948616076535,1.1386980047885367,1.2101989118784764,1.0826698207953576,1.0929920598266167,1.1346488596614321,1.0290616598629154,1.0102128772023855,0.9883884394756289,0.9906428798979132,0.995140561379381,0.9906093380417265,1.068741366922078,1.0640513725830332,1.1979701671344996,1.111418171348803,1.1608199155274948,1.1200650642320484,1.1088603025950838,1.0818380165724977,1.1797291515320278,1.1877388903027342,1.119819059587701,1.180371859984625,1.2439504885232215,1.2287270133444745,1.1786975544153877,1.2988708017018378,1.4326632508691486,1.259619718611191,1.3914205669193556,1.5612585224037874,1.6304812568017422,1.4812833791512465,1.3131708987649473,1.8340638795253348,1.562515014104358,1.417588493454794,1.2436721211793242,1.1358750964023503,1.034004525239033,1.0971853330103107,1.0583604397811694,1.2275997605716396,1.0562706835468154,1.1282267315628525,0.9468097112748074,0.9625861244481165,0.7573663076589082,0.926257987230198,0.9294637275621881,0.9009858826888055,0.8978786076577348,0.815744686366236,0.8532290209245904,0.8218586753773743,0.8537764053898776,0.6995506430987818,0.7592974927289046,0.7320969040654814,1.1460541424794821,1.1478694176887607,1.8911504219544395],[0.8028208292971155,0.7312539463216254,0.7115381418100584,0.7689548331184811,0.8044909134505317,0.7397066418776537,0.6021265919810059,0.6023376368989177,0.6194558191785239,0.6230401297273461,0.6311391720783192,0.6914470302394372,0.6630840933307949,0.7011741573788066,0.7543669277966345,0.7279977945360386,0.7776599970618481,0.8391863848181359,0.9664688728196464,0.9744500087754002,1.1365618432502675,1.1810799719877858,1.406885821823348,1.5446547126697132,1.690953156398494,1.2363039416566344,1.058120987628215,0.8329129311704447,0.775313546231591,0.7118344317362659,0.7569017011192668,0.7208611537831819,0.7159154098609605,0.7780731071300048,0.7467424808640728,0.8167035713530759,0.709097449828051,0.8504404870743811,0.8378677100273824,0.8986388614930314,1.048930219815203,1.0654883085940792,1.1251994123727143,1.371611385655194,1.845725398708876,2.277233128140826,2.5702235411088394,1.6139676193443337,1.5221881913381348,2.1021037083031917,1.707276518980155,1.8946884139847542,1.416542066140426,1.5410882950968925,2.3527340158576586,1.5861871219014005,1.4714965758473726,1.40562741044224,1.3021908612379511,2.040114672536049,1.2662368346505881,1.197456170231108,1.1361437094485678,1.2600425451614148,1.2699769512060646,1.0876596530188694,1.2613373365142853,0.9537781673951408,1.07456499297438,0.9725599794638888,1.140469408204192,1.4545495004233975,1.082744606458772,1.1388977662603017,1.0383465621567294,1.4267345959712947,0.9499441591383202,0.8877347142700951,0.8897172193211217,0.9649903447377312,0.8208112904438022,0.8972113751290274,1.0524839783708162,0.9312474532556982,0.8808469573089882,0.7810778966086128,0.8487736627713238,0.8079739324346796,0.8540153357272956,0.8387216843036231,0.8269758928845419,1.048916703253448,0.9440032137086936,0.7970299119042411,0.774542687442603,0.8481512326988954,0.8053311435984335,0.6852087517867577,0.6474752797527645,0.7104440394035286,0.668009722950486,0.6670682006762652,0.6972511304328483,0.7750726823539729,0.8354898773558407,0.7809532934462406,0.9161816503868798,0.9638834410807898,0.927499239302433,0.9297994348697295,0.8351564781704215,0.7429426633026165,0.6228242928610896,0.661129698007701,0.698296507713,0.7537362577449859,0.8406612893804082,0.8508003249443219,0.9939240758231319,0.8761957267217402,0.8823955158155066,0.8410517513481957,0.8492296023769952,0.7083266020281799,0.6187473994274458,0.6513447067985328,0.7028169013026082,0.7461409964521817,0.8127871447704161,0.8281764343711802,0.935852044296207,0.9964772721680215,0.9829930421834848,0.8948678865186341,0.8827506537514422,0.8971502564633886,0.8815237599328187,0.8045952067248879,0.765719622571909,0.7874212227915409,0.9370082951685091,1.2261213344942061,0.8774946782440897,0.8223751588261334,0.9274637765607605,0.7320326333039909,0.7129216065804661,0.6669461877518474,0.6597012020188856,0.6391481050146078,0.6835622955754955,0.645384270818337,0.7779352840240801,1.1979448748161756,0.9271433670681913,0.6529784350289345,0.6059769138247403,0.66204307086148,0.6545625656956504,0.7068684343616164,0.7099197649719512,0.7130015157671596,0.781774309091573,0.8139184246230073,0.8880318144963582,0.9656163039028318,1.0086347498931578,1.2239116393958243,1.1489486912034892,1.0153097291344677,0.9216128914410453,0.8323515428095559,0.8228136809448838,0.8032101257240979,0.7592323539949253,0.7078854610554116,0.7403964436704898,0.7251503608927189,0.8047822649437008,0.8218509924400215,0.8286440094716342,0.7688986823558867,0.87874781163051,0.9794001832197557,0.9496244319690933,1.0140449317377707,1.0239141721190768,1.659561684065868,1.6590966909823472,1.7417402537752107,1.5895583440822771,1.2046106775496417,1.287969233775734,1.1749295042174022,1.3162365108847027,1.3490244651131433,1.2313654777458165,1.1998755988041556,1.2049711029508794,1.1421406707984365,1.206544629786868,1.1037390934356324,1.0509289340127626,1.1555616616351545,1.1864689686733427,1.0973058694810418,1.1101968134757931,1.2244243357519613,1.214346934160304,1.1640132690915674,1.2797239338248625,1.3478709183931417,1.2824068832604039,1.4974604709335233,1.4789669547274535,1.3688427992040395,1.61660722749265,1.553604680303604,1.4510711751842333,1.5044897895674452,1.750958623679852,1.9303262131947132,1.8070438963086417,1.6642236960465697,1.4224727027567259,1.3766479611525213,1.3480736578181804,1.499312268326738,1.530715882422767,1.394324863995335,1.4499175798454964,1.5683542915758752,1.554932454292076,1.4588758958737849,1.6005209573530204,1.9361777908075548,1.6071052455394903,1.560139247714648,1.3821060432480947,1.27804125511254,1.298108967607819,1.2444114241219597,1.2169751668543396,1.3394426014872867,1.176613723580502,1.1966694715525703,1.2624052366339495,1.1519866250996222,1.1349728551842393,1.123351652946257,1.1626950674918872,1.1811919074712913,1.169052313180486,1.264027847639929,1.2775090410738879,1.3688714771307071,1.3109580618849668,1.3706020321077192,1.3373602220451302,1.3092565454117786,1.246368407038189,1.3310746630377723,1.390629803181239,1.3023181025101334,1.3289554784225723,1.4148848043255446,1.4073351365410458,1.3299877791332586,1.4524511812930399,1.5808388839086653,1.4308941183863975,1.5411403411110232,1.7065773337463477,1.824196181120803,1.6511204687176826,1.476394689745234,1.9854147588250404,1.7447893674449244,1.626544078116423,1.3947467390922499,1.2715247047326304,1.1220644054626832,1.1416321481085108,1.2150107063447642,1.407316340934524,1.2039649381925512,1.2699102541034628,1.0526915396156191,1.055781966657349,0.8541251560775235,1.0258513012252437,1.0096395174886594,1.00486864353797,0.9890537176747977,0.8875664552581368,0.979925450662488,0.944476430157471,0.9368642637414678,0.7974283077620498,0.9062455884111766,0.8069132075595473,1.1371363408155202,1.1778805795756384,1.7919008725987695],[0.9859694736246668,0.9019337013698352,0.9186931735068782,0.8937789181367506,0.9050646073018418,0.8451610540563826,0.6815381582509576,0.709049260344758,0.6926939478010803,0.5917343046076081,0.5902796584556063,0.6663651322257339,0.5763701126857737,0.5611120959612848,0.5961320507815997,0.5792159898414171,0.5836369237473822,0.6184651987820274,0.7369752891741644,0.7382740833925768,0.8900132789228933,0.973975840578629,1.2629294990749564,1.4195521434960012,1.5368974334915957,1.0170423437346117,0.8370912932272874,0.6216143068995459,0.589851171138866,0.5401973170071166,0.587457625450448,0.5519262590371318,0.5767627887272351,0.560013175891917,0.5556032901097837,0.5720672910218482,0.6083581080922639,0.7492710486339852,0.696073775087511,0.8407571064050753,0.9555339093196371,0.9081696172995176,0.9689695674425468,1.2554723194778883,1.6402022409325727,2.087400994300404,2.4051230608202,1.450016504980231,1.4061640778306406,1.9941802701701858,1.6067597202382373,1.6999206644125295,1.402377032404637,1.542379397454589,2.444443622618728,1.6296627394156011,1.4617409398857573,1.329318064685824,1.2383615209610463,2.11662378952279,1.105286137525374,0.9827680518233156,0.9447530326281235,1.054814387318254,1.049774165512301,0.8467553942158011,1.0055590317459833,0.7195251682761264,0.8639013638271007,0.7689885201221622,0.9138901966847043,1.2579836592665898,0.8778871080547485,1.007130601593925,0.774860362863496,1.3090492989929114,0.7148529522285263,0.6588892780271256,0.6856572075644802,0.7817722307039986,0.6651834837338545,0.859573964584579,0.9416114846090154,0.9461856702328152,0.8367201821320297,0.6971688014526322,0.7220761754378102,0.716688350530368,0.6338597860540979,0.6378471197226002,0.61562045954219,0.8682503973047083,0.7642709193826881,0.6044151226093605,0.5910873211496652,0.6801720206301611,0.6538063004275422,0.5916070232043278,0.6188743947741274,0.7698325025447352,0.6205584954156305,0.7998681430052037,0.7211390205316073,0.8648246317284622,0.9112541800633763,0.8898482525939071,1.0904737165187566,1.1634825697224584,1.116906456202576,1.0745556251308,0.9765875005591194,0.8145615519723826,0.6738415893055814,0.6631209075206752,0.5826908701625381,0.6088835929645072,0.687493350419882,0.6393952652334451,0.7658431198645262,0.6483930615441413,0.6381124781069748,0.6610369250126382,0.6692958704567036,0.5659163749911078,0.5612147804732711,0.6565540124630075,0.8022879498478165,0.8459737459808276,0.9499942872200394,0.9516788766067004,1.1043896255568477,1.1953525744280233,1.1668251687889633,1.0488955790941397,1.0047805043818823,0.9785485811744727,0.9820596359663144,0.8124430628404182,0.6899789702342681,0.6940137676456853,0.7804036644355936,1.0646513494667613,0.7229178531831975,0.6615606771154393,0.7419516635407436,0.6189974232735705,0.6127608205528324,0.6098332983834732,0.6668820609698947,0.6756529923952984,0.8054924518171577,0.7680608713713811,0.9211563866881214,1.3427255912895135,0.9819851644153574,0.7767894810192926,0.6821614600440873,0.7536668296907171,0.6376609039969753,0.7588121249858696,0.7152454428864956,0.6543837527217211,0.7245946719824397,0.7684949065006808,0.8776933266954509,0.9363337391648328,1.096191077385508,1.3183927011614953,1.2772676540748373,1.0803141488377483,0.9989436478331921,0.8522170743712243,0.855678646933487,0.8362730903033168,0.7679216399222736,0.7329316243593503,0.7082100298486325,0.7189490639815512,0.7816328482323378,0.878991877053775,0.855261133773985,0.8252288291462115,0.9720466146449209,1.1369601334239083,1.052107181978599,1.0436192640110593,1.0368949750959449,1.5815668978303095,1.607566062046816,1.7422960921981596,1.640174870828019,1.320010330183627,1.4251900796163859,1.340762475034731,1.4933910613413568,1.5490402282229774,1.4190176793857732,1.4161549531343844,1.426974455276116,1.356473554116372,1.4790038598590431,1.3673722710954865,1.2933004532031112,1.408862555906474,1.4667996786279958,1.3516009768152815,1.3484071271722056,1.4835186233828028,1.4869156040898308,1.4001680664209395,1.5123799849743849,1.5903556399544276,1.5195115632724296,1.723356598769165,1.6907087195297554,1.5833894411772154,1.8261521300740955,1.7994606116792393,1.7101327833551074,1.7741619148560603,2.009453540257264,2.278524368732811,2.0397074257455867,1.9010568443246076,1.7639333756457292,1.7165984727836603,1.654990114215713,1.8261243224234536,1.8830816205368426,1.711344063266943,1.739243990109216,1.8628447396746848,1.8547287365424656,1.7492346046642562,1.8797566951044073,2.1912449617624974,1.8849643345476197,1.8098781671895696,1.6412991941639237,1.5220641655961247,1.5751382659911566,1.5359074473995353,1.4903376989280757,1.6417222182208626,1.4342086209727105,1.458476535019199,1.549355265805383,1.4370972729903768,1.3985182859282437,1.4005146245562896,1.4305373342622272,1.4144349065374637,1.414485484951016,1.5384867355365055,1.540661297255057,1.5701614568490574,1.5822162503224682,1.6525359362193215,1.6375334276687525,1.622391778143135,1.5525276621877662,1.6481745122865001,1.7047163794488962,1.5921336616969528,1.6414285023694943,1.743181053566544,1.7177167579439334,1.6268618305989213,1.7748801635887221,1.8864627740204447,1.7237525192824046,1.8231352125651776,2.049659280865102,2.1209279408918396,1.9287806788509883,1.728114263842524,2.222802920313,1.9005647552420972,1.8521444605493518,1.5634173363473207,1.483098393687246,1.29760906823146,1.2876470817350572,1.3681950982097717,1.5707317929834212,1.421974408541642,1.5077174360700671,1.2280083530938903,1.2528619229886597,0.9964845223118087,1.2284234614114402,1.232908606998441,1.2548954496119717,1.148628478153389,1.089123720682751,1.2077814001065819,1.168935491363821,1.0976637460167473,0.9888145523562186,1.1022185713191817,1.0069065856276866,1.0349983850116937,1.064719207206967,1.5468003029872537],[0.8915080908672,0.7829913155843657,0.7937628441563618,0.8125215684452748,0.9182092355697935,0.8128185885942104,0.7365859607008846,0.7563701880813892,0.7415447396504111,0.7106523323321626,0.6923292153426263,0.7217384213999779,0.7342046869884096,0.6862646299275496,0.709223192577355,0.7360095856234111,0.7624719891071476,0.7902647778292416,0.8876069017860148,0.8805798820620531,0.9740486559950187,1.0738977693389835,1.3363208383590828,1.471815553733254,1.5806682367369738,1.0919356097684743,0.9727477954099338,0.8210334235395674,0.7950103847975759,0.7423476868799721,0.7707190743605864,0.7226331902204457,0.7399659375634096,0.7373402739327877,0.7692941842274401,0.7613465404254401,0.8317299573453707,0.9657575723357743,0.892430293945245,1.0415897557433926,1.1253790201932068,1.0662713459019655,1.1208342105189033,1.3990360287631536,1.653971639030823,2.063218683346507,2.3436727770315184,1.4977843795719523,1.4818764558418853,2.025835861545999,1.6425842234535426,1.700926745744892,1.5444612738605843,1.7021662846366261,2.6269684756203313,1.8221608007283732,1.6551434217626377,1.451190359644559,1.4263843022900988,2.313709205288864,1.2450493615366895,1.124879418013736,1.0991918505846061,1.1087793978614213,1.1522099051481296,0.9765125453372907,1.0304183321241371,0.8508763698049792,0.9610037276096126,0.8777184328678227,0.9895868700174525,1.2760640646643295,0.9771234513428251,1.1066178060945777,0.8729586361211452,1.3585719868679087,0.874566606073436,0.8346988201732187,0.869501418289937,0.9324399500010153,0.8672593099184589,1.0593375460658412,1.0701908387247558,1.1106626108608217,1.0181463851642945,0.9109448695692727,0.9381400688599889,0.9178505505053228,0.8309387737862183,0.828435300832592,0.8005186548226789,0.9657060885064982,0.8727382939774553,0.7372585158528021,0.7155785960832837,0.7300590579835862,0.7345688461105453,0.7114015206663231,0.7312476530194735,0.8211988114537222,0.7664381457068914,0.9092566516883546,0.8810176219465836,0.9783170931852614,1.0501027069869993,1.0036096644422376,1.1485463306494326,1.2145532506156138,1.1532919122579564,1.1228360116250058,1.0205043907110611,0.9365228297323788,0.8028013621634544,0.8301596139688417,0.7559907829701233,0.8102577670073012,0.8792342501949411,0.8298563360003279,0.8989332706638744,0.8069796470414653,0.7683966675627112,0.7937897927536536,0.8232480404531066,0.733969190947623,0.6986151768903347,0.8299889098366224,0.8901470624598011,0.9598758945899023,1.0382549782302821,1.0584546745684118,1.1735893660770222,1.241756091892666,1.251794817826081,1.15995219397121,1.1362731996265107,1.1257743967745726,1.1073662269021034,0.9911131725576887,0.8992292880919899,0.9067241566820575,0.9696577425543212,1.192919656785669,0.8973567516862879,0.8703684437475177,0.9032033582870104,0.8604754717871461,0.8517678552274567,0.8162265999421696,0.8413551717148438,0.8091399754341885,0.8867927190789924,0.8092215555835358,0.9584617486404434,1.334007305221745,0.9990287827370196,0.8480194470180816,0.8006164922797935,0.8620923790003343,0.7951789763736263,0.8962851490969583,0.9051557472880332,0.8702481194643117,0.9284020995977859,0.9734382170736554,1.0327835692753946,1.0828805993672552,1.2243413197734874,1.4100198986938932,1.3592767984120588,1.2176253776805381,1.1382504596728156,1.0256632995924109,1.0253742044675338,1.0152087579289897,0.962369117425348,0.9222635157307955,0.8875396813711087,0.9134313284763815,0.9671201379439001,1.048480895263646,1.0235868989781438,0.9822888390496297,1.1058849045791312,1.2510241661877468,1.190256123686802,1.1771557478862478,1.2044457747603237,1.5826444710510774,1.6055241854970659,1.7834897708310715,1.7038698897833948,1.4038841412481,1.4795108881163632,1.4027001048338412,1.5355213984698857,1.5517569741913826,1.4485644288789499,1.4259427787633259,1.4043637855532523,1.3384353581017534,1.4032859453538429,1.298790212665576,1.250524009595338,1.3178711010014623,1.3416983556580826,1.2392654322643015,1.239516607835738,1.3202774423911803,1.3093255589183084,1.2448368124256959,1.3250952671331329,1.3733351317923794,1.3133188407755056,1.5054242153067876,1.4401781606263495,1.363747626040153,1.5594950518032145,1.5485770805752168,1.4844368485736399,1.5167637402354104,1.7817951150394167,1.9848334178952631,1.8146205404351217,1.694382995633449,1.5586794646938078,1.5328994879521736,1.5145138849908293,1.686803829687108,1.7049814868461037,1.57445151435798,1.6287068256278743,1.7461047381256702,1.7177347520131385,1.6487820416439616,1.8171602902415893,2.110452939881758,1.7736180544349704,1.783892756409983,1.5747070332131552,1.4946410137164887,1.51056482340874,1.4378504325899029,1.407989467846668,1.5285193015834855,1.369074082429795,1.386698693698404,1.4248931951593995,1.3242374732159337,1.307044946578069,1.2762837157156723,1.268198256355093,1.2499195833442391,1.2492351327298548,1.3368631668017728,1.3191530493737347,1.3721989764429277,1.3531379676753115,1.4137056868600977,1.3930303532538977,1.3977067914864758,1.3748487922713024,1.4568907401716316,1.4638418800010498,1.394108525072893,1.4654317108726556,1.5225269673593504,1.4971796853721493,1.462869112340224,1.5808869498982836,1.6622984957937874,1.533846907094894,1.683308897985649,1.8442552963592618,1.8995339276606031,1.7396355597846855,1.5520289285155828,2.0433750050789907,1.7151386044251618,1.61032984210773,1.3863605363332567,1.325439358447737,1.185944337806536,1.1977604300322375,1.2409073870120984,1.4361513705428877,1.3292483116494578,1.4041990675761244,1.202768299429368,1.2490392260756722,1.030880097398049,1.1816753409005616,1.2077087007835472,1.1867355893184113,1.1132866818186096,1.0659938327298084,1.0978380675201493,1.0485480230361806,1.0576647074959065,0.881718578006708,0.9092977700962702,0.8542680812493397,0.9588216324305833,0.970839270347917,1.5727920889141318],[0.8167667371196055,0.7015009596564891,0.7067040649276627,0.7291345209113442,0.8335710034923677,0.7107333267618556,0.5667410245364402,0.6025877411246624,0.5722947059611639,0.5048851261168685,0.4918561655686032,0.5747249498648115,0.5239190936679475,0.4763668162635241,0.5073827092461628,0.5187992888775482,0.5677637889723103,0.5757105821827744,0.6739435212144902,0.6620928134975342,0.760150137359195,0.868136018065591,1.134566255431222,1.2766872240324545,1.4533138089486928,0.9156120272597796,0.7614930414502084,0.5974803160160583,0.5849842569201532,0.5255520010452556,0.5079242603946582,0.5369201713006639,0.5344186065442107,0.5347919252190401,0.5411297452155754,0.5214547834286392,0.6083241275140452,0.7126340961426572,0.663919231301659,0.8351113615652423,0.9385117319746525,0.8393790048892528,0.9158421107054926,1.2374716215384327,1.5215536290376472,1.9547981455262988,2.18011080956789,1.315771022233439,1.3066934049977585,1.8635134362771928,1.4291009754622235,1.5748947836595921,1.3179947297412307,1.5354455972272927,2.526671971121767,1.6896837140965524,1.546186404658071,1.242728314011778,1.2566010471894606,2.2104561484945533,1.0860995717019648,0.9543247470985774,0.8892486528952224,0.9025991899243208,0.9959724658873446,0.7630059852091899,0.8500570983069861,0.6307738202393216,0.7793771723317366,0.6867505583747344,0.8616954219614085,1.1695287754371226,0.8127076975526591,0.9227294230363152,0.6916293001217522,1.1395051456408662,0.6506549965315228,0.5861094801330832,0.6133570210705691,0.6574257450254082,0.6472740186592468,0.8446978173255106,0.9327579443650057,0.9191771562592282,0.8357290874845176,0.706010677134975,0.6931166722371016,0.7094990265160038,0.5656980828206738,0.6121419026672846,0.5414600491888236,0.7430737257123426,0.6438741526284519,0.5149887887490612,0.5065644461368956,0.552889077704337,0.5566535028754351,0.5232628890765438,0.5554905453156268,0.7010115933881566,0.6037482976645804,0.7471960443261826,0.7019047889906463,0.8530352110938043,0.8995823453532508,0.8774990553750751,1.0678865924404428,1.1021517436129618,1.0646856131159428,1.0359761138446084,0.9324343539646891,0.7981744265993612,0.6234421387699883,0.6408785421222505,0.550678781321464,0.5873271444420951,0.6601012788200987,0.6031437824136416,0.7072885387524289,0.6028852355970354,0.5887206299994874,0.5978139866766292,0.6207300790006116,0.5063184690783437,0.4803828445043318,0.6299324708414947,0.7456698194001682,0.817682720363814,0.9175109669491951,0.931236669920471,1.0667989715684727,1.155665338744837,1.1035953428206344,1.0119044442924159,0.9657519275815133,0.8848535041888038,0.9344528838846866,0.7861818797158343,0.6831816928179923,0.6752047823082753,0.7695745593717384,1.029558628321619,0.6580801841866771,0.6331283449178271,0.6817010056473567,0.6119107056799307,0.6045202370881348,0.5929216482656248,0.6463125432223646,0.6287154676210306,0.7426469882798901,0.6680937439427248,0.8374822457898665,1.24540415313919,0.9079509078058524,0.7014807661260397,0.6260366461217154,0.7114055635448393,0.6176523602798216,0.744279524795256,0.6979556085017136,0.6455743686309112,0.7046693904498184,0.7345600412606129,0.8009951116337702,0.846290976255952,1.0045790468440818,1.2058655548365662,1.1597777430263654,1.0316983253009482,0.9396671752853796,0.8071371675567742,0.8064972021871557,0.8158260830063646,0.758157211676734,0.7197445385741531,0.697580121627853,0.7157154455609724,0.7744995558622528,0.8578409424016141,0.8380612289782956,0.8126938148208303,0.9336186895758835,1.0608491331817598,1.0145462625783745,0.9986262919141691,1.056516380203007,1.3969990842468192,1.4189186058563268,1.6501482426779281,1.5357802707991721,1.1954303376152582,1.2922593830506266,1.2131339162836334,1.3967375770942554,1.4641940715201995,1.3506058888098564,1.3532303653877107,1.360953358497305,1.2945891806806407,1.3555535118386375,1.2536635751707426,1.2004665921036004,1.2876347362298937,1.3093018787389847,1.2054501028868665,1.2102216763422287,1.3062214586940173,1.284686708371892,1.219362082381199,1.3113896049294083,1.3562137351681143,1.2962379102739356,1.4994685770513654,1.4347307092952228,1.3487433820579513,1.5692458695822862,1.54753900201429,1.478184423625141,1.5106669996493982,1.7742826188605287,1.9054656983529183,1.827486806652867,1.6848109710736368,1.495207746163728,1.4640673307201895,1.4620411539668665,1.6113679599000985,1.6263273660286008,1.5064280361291402,1.5699395873958852,1.6739407121486403,1.6707007887620438,1.5907758310775897,1.702922398221153,2.0445914836810437,1.7284072533177806,1.6868550984768267,1.5256517579857214,1.4273992690877546,1.4513877682579146,1.385190193724655,1.356424993527374,1.4783502426989894,1.3169630595460617,1.3356445113754534,1.3831853198401842,1.2745931563030635,1.2675992321089944,1.236025633975835,1.2374825438429842,1.2319066401689176,1.223819072949501,1.31196884905174,1.296755740737202,1.3599855678125456,1.325536417522377,1.3868354473063322,1.3668852302743844,1.3694662505562052,1.341444295043585,1.4210457591134955,1.4357206132792815,1.3741785087209952,1.430888167870928,1.4843615942579993,1.4673025826491706,1.435013643119261,1.540569248942925,1.6252515772613034,1.5137573039944685,1.653681769726922,1.7665882311303382,1.873247383031521,1.7200233428416136,1.5488368369981214,1.9991553501909978,1.7670533447954904,1.6175519323087344,1.4041252485323805,1.3175347027065576,1.156973345411925,1.165701238668563,1.277745254175157,1.505987306586836,1.3533124762726314,1.4036622779099777,1.1670479288661528,1.20152886885056,0.9511139120779626,1.145658833383776,1.1513003370647623,1.129250097325993,1.0554891119998044,0.9940611790307062,1.0553263210420007,1.0102290784273953,0.9853702594574125,0.8183127603066002,0.877645134686405,0.7942595673660632,0.9496361486437589,0.9732984120560371,1.5358854818017678],[1.2376158906679546,1.1611288946552532,1.175438361854462,1.1303655272136894,1.150282327194025,1.1034036376310798,0.9750593570089473,1.0123480632121464,1.0196710377371723,0.961249098863962,0.9760691231949261,1.0430918384575554,0.9610821926112456,0.9633281671101507,0.9780060786810726,0.9450008447366978,0.9695291390819638,0.9623644719197109,1.009305983226346,0.9605436321611491,1.0308849733038405,1.0758570507951573,1.292977458263233,1.38653680440106,1.5463939688241637,1.139742466155516,0.9966426256643585,0.9004212953463615,0.9303690160334913,0.9105308680808379,0.9207616694567867,0.9517032620059717,0.9553144556678572,0.9560132113264972,0.9122448210713867,0.885622273850448,0.9272660934920856,0.9145684444439085,0.9000862161546246,0.9884783929104742,1.081998903752898,1.0221780856575242,1.073037565253843,1.3381543776406593,1.5887069509857996,1.9813929281612375,2.1671305924987285,1.3706252183729404,1.356364983550588,1.8711296513832258,1.4358733125489005,1.5842722894201884,1.3456095598033053,1.5801115581832637,2.568881134528079,1.7637749216613405,1.6486059113732157,1.330002719304827,1.3594202782096,2.305848689871369,1.2373136199836867,1.15734288537002,1.066109023988105,1.135399617014483,1.2187567669587716,1.0027586589668502,1.110309151817762,0.9759458796829885,1.1314581966463466,1.0594824914511898,1.232872571915822,1.4614116079393509,1.1654333470397233,1.191784762981128,1.061190800912276,1.3064479932856703,0.9622898188835155,0.918106923325497,0.8880920478084807,0.9325322719864279,0.9172199668551555,1.0242508620998096,1.1676753310316872,1.0871548355474931,1.0132213664001999,0.9513426848508422,0.9298358652357391,0.9873661350553266,0.879320553095562,0.9500715805239994,0.9172308531682439,1.0976262428130437,1.031610525269721,0.9609441972699917,0.9702194737934767,1.0385297937765827,1.023181031044378,0.9924161480336577,1.0071226105878173,1.0994123121659514,1.0175849440460574,1.0886619920990748,1.044972419391807,1.1712445494525585,1.143578897894043,1.1673425723804287,1.3610241754734753,1.3522953086843899,1.3409618029912849,1.3238018972741372,1.2317575078352232,1.0757471849817914,0.9838193129620177,0.9605650399832052,0.9381789037427928,0.9228587906545463,0.9484867278046302,0.9170421883794433,1.0700406632132098,0.9897297075662702,1.0095618684823464,1.012193014711857,0.992631920025062,0.9251489367090823,0.8983265145433753,0.9421167184074721,1.070915529443931,1.09317684364696,1.1836907155309722,1.1809878170900172,1.2874334310112956,1.3958081004118283,1.2811380575475513,1.2252090960043729,1.1399917970768945,1.064033375327652,1.1231851290692634,0.9924687263425201,0.9083343509041012,0.8856128374839436,0.9426044824695661,1.1545042713431937,0.9206416827676185,0.8905829747205342,0.9327363856252386,0.8857189003366859,0.882768022706241,0.9156844693292288,0.9719236537098505,1.0094315194031678,1.1032023045024666,1.064586029677006,1.1921754192026295,1.5042419622061058,1.216228567056425,1.0825378923454931,1.012482617934363,1.0936870903185993,0.9901611545503541,1.059064324573577,0.9613245938506794,0.9146247981749497,0.9256889059483323,0.9150342854164883,0.9407194264501997,0.9498708311846977,1.0813505027805583,1.2341345484974806,1.2172393827435963,1.1041692145470399,1.053293773979972,0.9601218638317202,0.9757244727149927,1.017271168455479,0.9822906024375928,0.9771256568260365,0.9835907461198169,0.9817528639177151,0.9951363591311588,1.0751114779706934,1.0254429129897198,1.0535970113003994,1.1131840820179135,1.198152373390264,1.1499880987815925,1.117590714922105,1.1884271410604579,1.418938974333511,1.4686407195039215,1.682559632915688,1.5407635648446132,1.2452563396687248,1.3692896854290146,1.3078863536287233,1.5172993072839018,1.632164325276756,1.5167873416588338,1.597154381217015,1.6408999201779015,1.585224635506538,1.696711503732989,1.6117183787601126,1.535857062246436,1.6479578370019867,1.7114844999966956,1.5944779057436718,1.5826437790696648,1.7222395427267376,1.6992822634700333,1.6176112018234903,1.7104286677776939,1.7567602129089364,1.6959229488520982,1.8833245459665025,1.8072580308034039,1.7362255912616833,1.9914776959856981,1.9977499395109874,1.9113134996049725,1.970744058323368,2.2186469115105614,2.2964574739544714,2.288877280122961,2.0107723827347206,1.9238251739621648,1.8872568743097329,1.858313812366507,1.988861239358632,2.034523350901888,1.8923731223436528,1.9091880527236986,2.036524962226901,2.0304224766713714,1.9219481113956076,1.9941464871094288,2.352852224289535,2.0490971820714283,1.94413153904839,1.8317166890163148,1.6932972780692428,1.7637943181126066,1.7532816486080751,1.7127545109475484,1.8419918807340405,1.6675276354703719,1.6796213006576652,1.7681753045848112,1.6607032167005975,1.6352308843413665,1.6412292126135808,1.6459217553937613,1.6302083526355968,1.6274643473902517,1.728304155028345,1.706782920510738,1.748115530398651,1.7345409161800538,1.817638807316259,1.7914124809215948,1.8123210965403365,1.772278817367903,1.861875969547287,1.8935652967756658,1.8096718982290232,1.8506023587916418,1.930686468369669,1.9018834155327857,1.839628242333929,1.9617986193582602,2.0406073222875065,1.9320218718173037,2.031373868619949,2.1391449933293316,2.2742873560901473,2.1081307125446638,1.9344324476169774,2.320343192936933,2.0958465585934642,2.0659316769894787,1.8122771222805516,1.7218789977384246,1.5395557977904701,1.541264529859641,1.6602883964403359,1.8559607690118443,1.6947429819334283,1.759137070284576,1.4729247108022443,1.4922386199627458,1.2342658328200689,1.4960823540416481,1.4954768472173094,1.508169463901127,1.3973340986410399,1.3554708986578687,1.4682342164582707,1.4549957745238784,1.3447594077526661,1.261691987206333,1.3468953966778872,1.2800579918528336,1.3142013812716669,1.35407479285752,1.7111071766860628],[0.9916909318270386,0.8922288672678933,1.007828511337412,0.911438480232444,1.12077427230133,0.9106799948871956,0.829591015288384,0.8955828408051147,0.7654759530752312,0.6715309409842267,0.6263844348469862,0.7517020993212484,0.7610889686548797,0.5971320106438092,0.6381901751893413,0.7556796029031534,0.7939208697868974,0.7871019156903594,0.8448743814480145,0.8690471196530345,0.9091979742578516,1.0391612417421048,1.2957539370281932,1.3851239697147184,1.5565535646405881,1.021806654490335,0.9796425132465977,0.855698405831633,0.878256199442286,0.8632152143024324,0.7658218108522427,0.850815818520927,0.8302470199223863,0.8526661182801996,0.9084796293238658,0.8653007859905489,1.0113983909371473,1.0542874880698665,1.0569245396903912,1.319226803519797,1.3176314430117972,1.1309566041929318,1.249857282248893,1.5277585271641476,1.6209719663379483,1.9704009643497344,2.1788807155940932,1.5021018660276133,1.5221560118165753,1.9831832131377034,1.5858278796341314,1.6599940055828573,1.67752142095096,1.8577511087005922,2.8232532334298397,2.071521048597112,1.9086776436778463,1.4679385169447174,1.5999028113225993,2.584828560390597,1.3323921877766565,1.1795276116896094,1.1126773752210177,1.0586495630793884,1.112845039446543,0.969700996554968,0.93189561100913,0.8214353129740163,0.9138427245917264,0.8265321366827091,0.9500599704056447,1.167674015215455,0.9132232403984787,1.071629049231409,0.7933891686982578,1.236713524436175,0.8905371647023964,0.8493240747221903,0.9270332970969143,1.052766782620722,1.1061873995424387,1.3323218560775338,1.3115092510761661,1.415133265301777,1.301633473463082,1.171375534229186,1.0912276470062656,1.1469602335475415,0.9189134643509441,0.9364397162063862,0.8013026324560865,0.8378408991014192,0.7667366580190065,0.7039157006320806,0.6905175262513826,0.6428002398519572,0.6940757691783633,0.7505872967484134,0.8069272591035993,0.9552603703538162,0.932000159519626,1.1168408473878213,1.105869140513102,1.26738429503469,1.361271499347242,1.3493021994362269,1.534924423541547,1.603837087009677,1.5371980208296874,1.4769364382201065,1.3344551127614022,1.18734184614725,0.9678920641024241,0.9797163192802337,0.7953419043700006,0.7950308321412931,0.8306906724754043,0.8307572170906318,0.8650695263619204,0.7638849531496948,0.6953530334300988,0.6645322907272205,0.708543373580554,0.6681544515980525,0.6996041704936574,0.9624534581882201,1.086960758908947,1.2149541779112678,1.3626487077320042,1.4168371308837715,1.575850612746385,1.6861566624278979,1.6447159466080175,1.555644686347816,1.4863211713938407,1.3539023469187912,1.3771978258628317,1.2129297688589054,1.046404115934618,1.0444806891457947,1.0492384782760127,1.234267144112628,0.9753209933551238,0.9703584677136804,0.9957851536903508,0.9726621108275134,0.9552482611358042,0.9430005773925405,1.019717762462495,0.9321948244624446,1.113176166594693,0.958431861313317,1.149316425052326,1.4108142483304986,1.0893178166393205,1.0073874811844485,0.9440875634311163,1.0835973955807479,0.9859143331761134,1.144865478677367,1.1388474528903416,1.0821917096631428,1.1393464674426876,1.182364264367711,1.282715308964781,1.2861451947524627,1.5037246952715746,1.6508036318222876,1.6428282856201253,1.4641879670764875,1.4335268990009902,1.2825286725703913,1.3097762100070196,1.3099985827456955,1.2464093035547932,1.2066289956897729,1.0878799939208537,1.1758469463725467,1.2603023527852493,1.3669643877753115,1.3646294372084014,1.3333855289392487,1.480806612264739,1.607912778164649,1.5530760590635297,1.508150225746549,1.5466437200812704,1.6274968944832098,1.7118189802583708,1.9559413830318244,1.8869469224548066,1.6493231460615543,1.752978071585014,1.7152952896585265,1.90559021981725,1.9962502324502287,1.8599126538127815,1.8998262873838325,1.8839715363655918,1.7810128201162028,1.8911741400730893,1.751699614393115,1.6617984087051059,1.772718014961656,1.8056647269720982,1.633487685594395,1.6186940848989029,1.7461569650751942,1.681692021601596,1.533390852668705,1.6171308250919811,1.6619092855793702,1.5378545146360052,1.6952750758966006,1.6433461813375123,1.6278209157718124,1.8533021543621042,1.948976919582347,1.8961904564802687,1.921338959948054,2.222983512206273,2.3200664779852254,2.2357688964855043,2.037335819413129,2.0349903121531585,2.044425853415541,2.0260312559656724,2.2198663569126293,2.223877223476645,2.090396909925747,2.1486129690669986,2.2947007911104973,2.2600845559088194,2.1932871357594235,2.3208705982133826,2.6312997022530897,2.311436978769232,2.2809709371025884,2.092358130037134,1.980978080476329,2.027024632245822,1.9506270365368257,1.8981079723928558,1.9982524751301518,1.817766246838453,1.8360794754619143,1.8612893008181628,1.73868344041093,1.7129431707358656,1.695870982421297,1.6452922588502923,1.5965745887704779,1.5923391208730497,1.7017481144106588,1.6223431609593888,1.6330636554864952,1.6491447365208676,1.7304890779958857,1.7361175269117441,1.7877167797617535,1.8097676648050234,1.9308501137734015,1.9068455687703376,1.832460799524439,1.9519777995003917,2.001015759481601,1.9511689430900752,1.9606205559564018,2.089892250755388,2.104852637071704,2.0285900567297843,2.196022995011965,2.3124753664284428,2.371850641473896,2.2324049806074204,2.014728530563431,2.451906340725314,2.1069251024969486,2.005231755363561,1.7305022664045198,1.7072008065585738,1.4236006712596594,1.4054848770096824,1.5908539907798014,1.8761142559370745,1.8272605623411016,1.8856423622113851,1.57400947756686,1.6751432292276482,1.3592136719887506,1.518543398688366,1.5649784742934472,1.5486552076034914,1.4333283890341295,1.336933173692467,1.3854968680991024,1.3275325843514245,1.2913761821643774,1.0832385884071045,1.118938128444739,1.047526374234517,0.9423598193882365,1.0880999378022984,1.5288670917623162],[0.9441798174477627,0.7919936431101277,0.8169731125366482,0.8144656639649646,0.9973993314055076,0.8372992112871797,0.7670402091262015,0.8234252172959023,0.7364580899324332,0.7006098880080177,0.6727484309326097,0.74876785668926,0.7845842439860375,0.6606253823713335,0.7012771191725206,0.8005003138227273,0.8396070016319827,0.8466564280699137,0.9115385739411385,0.8912057469950103,0.9303313330690846,1.099137441976975,1.2478856891068584,1.364257537398017,1.45642223618115,0.9931775317013344,0.9736225365249146,0.886035939759189,0.9079803485874338,0.854532157950076,0.8135510936569298,0.838868265202845,0.8317650764874082,0.8653691724177853,0.8983243394336469,0.8690514651208983,0.9801054194408616,1.046906442869443,1.0242451897574008,1.223408032107164,1.2894493502440065,1.1240078627839265,1.2233652906334334,1.5285950676428315,1.5960589545036326,1.8907573429837545,2.0239258701273246,1.4046116868065706,1.4130639668580367,1.8060406306705017,1.4099411780442948,1.481954578961372,1.5985691843084686,1.8471799408678125,2.8854502708804755,2.1022177136244533,1.9535656880847436,1.464949994075619,1.6195006515351626,2.6585533104051615,1.410838734220516,1.2695502614170355,1.2205980560137695,1.1199417318791494,1.1798081715812312,1.0231795545432623,0.9480720432758423,0.8624562891588201,0.9593736076140845,0.9233780446345928,1.0373094660613378,1.211660129184606,1.0009957073779177,1.1257537810341718,0.8252044392398911,1.245647004852762,0.9466538393498024,0.8956122202233051,0.9347187020599034,1.0039084154723734,1.0528034211838408,1.2512297702684525,1.2032645959079473,1.3004318955074712,1.1859215196187816,1.098897614524995,1.0550153305609706,1.1080495165740627,0.9179354704541548,0.9483172500023559,0.8551082537286318,0.8928893912792178,0.8436817819689176,0.7642287834718635,0.7458770768946114,0.721466054029904,0.760174314321424,0.7514087715976165,0.7907224365421575,0.9052828584602632,0.8764857709423421,1.0290339731002873,1.0175587197279996,1.1470623846403432,1.2253613394681124,1.1972464616807603,1.3647733102279107,1.398757047540097,1.3301190038116812,1.3037753597231216,1.1841072155170713,1.0999160491778843,0.8978237442207843,0.9262156527014858,0.8055477454470377,0.8256277478983266,0.8800304473894216,0.8939020430908942,0.9532277719980737,0.8267502285367979,0.7807850908577637,0.7510078019024579,0.7906991128672788,0.7119201008612933,0.6990000963201973,0.9045642840835781,0.9818759634307144,1.0892310566242176,1.1908185206509563,1.240229805992621,1.3610640952379307,1.4482180441084966,1.4231722974819627,1.3481120812768619,1.2980625330042561,1.2076166286557397,1.2065738807278998,1.1226212950571308,1.0007412402853972,1.000510776125851,1.0621847841281618,1.1967067126036643,0.9790775161456545,0.964275804670123,0.9388809362738614,0.9545413423710548,0.9313607404655609,0.9086272006029158,0.949773410890112,0.8809259862932475,1.0022737960354824,0.892277155354062,1.0468803723957267,1.3367538538469872,1.0502711491383574,0.9414078828307256,0.8998846897202122,0.9995777154711412,0.9234788152849157,1.035711101595459,1.050808027796262,1.0165952357857986,1.073897677290408,1.100758891800259,1.1456831837131638,1.0906975188622292,1.3181691550814236,1.4357935382791747,1.406067753848228,1.2992219669087943,1.2601002325262474,1.158965623691558,1.1766314893763015,1.1922689092481455,1.144872680914921,1.0965927349427855,1.0159471965053697,1.0794012012141425,1.1653883939482075,1.2421937578064493,1.2138389267164942,1.177495539946262,1.2839483513985943,1.3909876038022597,1.3536051435034337,1.3239877267323596,1.4154871738161974,1.4516646091436358,1.487423579676917,1.7819084574956134,1.6917821956172017,1.46000032909488,1.5108053847511578,1.4553494000516007,1.6341966637388488,1.7160102188366713,1.6248820053456192,1.6197359354679184,1.5899124547668622,1.5154665197829267,1.5604180548036908,1.4470507425276304,1.3961014892312493,1.4571259920284994,1.4596452280046694,1.3377270446484655,1.3308072330368608,1.4023766123170243,1.3687124192093274,1.2709410811637698,1.3364512181965196,1.3771184122539013,1.2936036130642752,1.4545195315324202,1.4187248334893514,1.3724141388014965,1.530239483392164,1.5531407806911117,1.5208979560073668,1.535018486400938,1.797091830624,1.9714669752830525,1.8175260335846681,1.7323348060651456,1.6197049272372923,1.6090312898550754,1.628574625309297,1.7770214979176138,1.7765550785926192,1.6758842549579802,1.7412264146629237,1.8291531716932787,1.8140348422718746,1.7769061931002335,1.9199272520986383,2.203625609476137,1.8897620648282705,1.9227264930741514,1.7389598496627972,1.6662763767570528,1.6656752897279643,1.5790015083420001,1.553462176360605,1.6572580654734268,1.5053122874334561,1.5261657878642756,1.536295127270947,1.4303882989835595,1.4288211040503689,1.3786975101685082,1.3427757219230751,1.3140013158929955,1.3056605781725956,1.3933992887731808,1.3401661402094085,1.3750676168461193,1.3608193299237463,1.424293924041848,1.4205459561897378,1.445190287114854,1.4580616808484113,1.5304934844021856,1.5093235263718452,1.4647173440608618,1.558558222780248,1.5804361125188726,1.5566842096972728,1.5639404273175754,1.6500449431975501,1.6926008795681498,1.6143707367328066,1.8012251118008242,1.863120919979515,1.9287232293386503,1.8071034557854697,1.6360541987957553,2.0627919525553553,1.7700955889335812,1.6093677367291868,1.4088166585915898,1.378278232317088,1.200261603073271,1.2111106052035179,1.309340858323304,1.5545692701940774,1.500161333221268,1.5511101413192905,1.3402210580962979,1.424876233237837,1.1794942512154032,1.2842200890211675,1.3328937141511443,1.2898328830020398,1.2314445909331633,1.1546164776022318,1.1579973262670369,1.1060866642529377,1.1507848924511426,0.9212383245834458,0.9250430884660623,0.8903613218947913,0.8782875751421302,1.016069431647671,1.5045454139488552],[1.125084564786536,1.0785946986987438,1.2114253129160877,1.227215731637362,1.3609795349716005,1.214902382827545,1.1316594762893215,1.1738456328737275,1.0875015831741315,1.0326674282670758,1.007871950158207,1.0979933610273829,1.073779199105771,0.9566010846321292,0.9785703738112319,1.0485371199269655,1.0645036717467908,1.0215186013748767,1.0225336601318147,1.0166554351629709,1.0163961543420978,1.1134425065591285,1.265327935583303,1.3400465404418942,1.5234743749136905,1.087954915444188,1.070103769472617,1.0299814740698612,1.0871403134888193,1.085549752231479,1.024052613094081,1.1087721438542024,1.114467373120355,1.1095349212516545,1.1066915731880314,1.0472352553604576,1.1871054788045592,1.1410982558125844,1.1483155329549433,1.2981743376888586,1.3139564795731988,1.1684018177438327,1.249200120180174,1.477582919675469,1.4794168476037242,1.7995042048400935,1.8566322410423903,1.3236061087041542,1.3536546964585208,1.731158443233939,1.3358666449942196,1.5271032888439449,1.4813026438097818,1.735960473828586,2.7919613716246543,2.0445346850725183,1.9738619813986187,1.4521463404333177,1.5722802720633244,2.5920100427881163,1.3676961254166105,1.2245586800621178,1.2118937339651359,1.1877623051495696,1.1896874569811726,1.0897322554812792,1.0423651380489873,1.0291175912507493,1.0907296671355284,1.041381098206862,1.1368005117630233,1.2811412375812659,1.1193160120450474,1.2046899412009981,1.0363311420371897,1.3971875047711422,1.0626261231910077,1.0477396187367942,1.0699331320224446,1.1208643996616978,1.2319479422734003,1.3771117529044918,1.4029792794591887,1.4171376574652215,1.323477064568266,1.2630118103013492,1.1952989307469455,1.304092905778869,1.0618071936652138,1.108787338211984,1.0304877663605376,1.0918457644822959,1.014818815450679,1.0182915762095208,1.0139163439270753,1.0017181405803457,1.0121984807992304,1.0869794799621415,1.123152527903469,1.2195344751921255,1.1977814635437372,1.3346248935210845,1.290975143708709,1.4407145002033135,1.4368767676731502,1.468409508801271,1.6090855240665847,1.6141823492862952,1.5929090167073605,1.5619882979142972,1.4813304136132674,1.338884987288429,1.2026473139764906,1.1897449357557934,1.0723619226821905,1.0391872004372789,1.0169115026424407,1.0155590360728726,1.057015211405595,0.9880333330098527,0.9868114324279187,0.9525654021059129,0.9723013925646344,0.9659971265975126,1.0042755683004843,1.1758095368457335,1.3128946175517846,1.3642358947215916,1.4506066202831729,1.4610240423260825,1.5592760044711491,1.6412816870090103,1.5306901901722167,1.5033681370567198,1.41221100778578,1.3198374925620853,1.3769938440558038,1.249194641244827,1.1354133257090493,1.1259062856053683,1.0856399150075244,1.1954499383233266,1.0854182533021737,1.0819717318644149,1.0982430322089511,1.0962946225514656,1.0988565759428022,1.1388849551058897,1.2084056860627959,1.1870035897058795,1.3328735938643816,1.218753719068076,1.361860393031576,1.6032832152243783,1.3304792764393802,1.2611925251810436,1.1999496825555231,1.3079235462259924,1.1878446717020692,1.315559181858244,1.245867496651709,1.1880704882684432,1.2063196155391585,1.2093583064477404,1.2179364301959663,1.145636011143316,1.3467428035454077,1.4183504781601644,1.42012994789482,1.3399476970447954,1.3289503281188055,1.2521473337126854,1.2821533800433476,1.3313180475314095,1.2963585778058828,1.2860461031188217,1.2261979765037103,1.2823680216007136,1.2928442426305218,1.396928525642797,1.3527788842812252,1.3720462510690485,1.4034812697060077,1.4544849327152423,1.4412536958777482,1.4222809581118427,1.5220098612427038,1.4818309852469371,1.5630640063616728,1.8517133422294116,1.7054811447161455,1.4452104515631803,1.5398509859947742,1.506143889704176,1.6872297295030039,1.774591810539563,1.7055350163348262,1.793579450775612,1.8151741752753594,1.7873428221196912,1.836965015991853,1.7734065843231792,1.7275147040081997,1.7888015669472421,1.8019503217069746,1.7159312075516353,1.7269548380498134,1.7724151649287756,1.7228647700246271,1.6641720710726013,1.7202311653591855,1.7086207079623021,1.6542123818220054,1.831160409058176,1.7007564659665435,1.6593867212869076,1.847370961010532,1.840437416895307,1.8267474528430023,1.8291567056949873,2.035724166418495,2.067528131776866,2.083724519289031,1.9179158131552687,1.8264386390054244,1.8111935773106498,1.8927090057818479,1.9366654616575114,1.9146507733958533,1.881795755953211,1.9307881670570033,1.938932888543795,1.9737030248480738,1.9446500409911351,1.9800473311718676,2.2703649499104794,2.0110904534341287,1.9883610265594687,1.9269770115503821,1.844996438194348,1.8822759692152407,1.8601884641964066,1.8489879815510102,1.9435941488984199,1.8161535378145104,1.8320522347283266,1.842931320473803,1.7576425026849973,1.7766406735155345,1.7341720579377418,1.6955347459689767,1.685350351175534,1.6721130536334414,1.715978804706603,1.672266434054615,1.6921777061302663,1.6756791921699101,1.7246598196633798,1.7223576858605854,1.7550167501088243,1.7768302645842637,1.8241179110386243,1.7968208404497623,1.786316690201851,1.841748961247473,1.8382447864841052,1.8209040418547078,1.8461497966578602,1.8678120430969434,1.8859624416217498,1.8672479097209107,1.9872317770639987,1.9794618270738031,2.120312632004708,1.9957766603155838,1.9249295504043038,2.130671725385382,2.0421278360158834,1.8993544872450197,1.8273295656236235,1.7731388630824538,1.627292563924198,1.6640495369002353,1.8493321272010483,2.024427927895909,1.8918857496147055,1.9068287234480052,1.6900703768663479,1.7123762218293017,1.4875204954523265,1.6994014255986392,1.691005388309678,1.6584093989318258,1.541828966801111,1.517578246537512,1.5558414928066373,1.5023539407861501,1.4523995667955003,1.292782999816867,1.277910952431886,1.2237815335387063,1.2016344827784984,1.2843830072763123,1.6299673889361581],[0.7843077844878642,0.6664302901522282,0.6608841899414057,0.7026309868591722,0.8609332638428984,0.7255696188194461,0.5982405224184703,0.6340518029561556,0.5892694463624247,0.5378649438511494,0.5122869193960345,0.6077690784966157,0.5839865448671322,0.4761255772574269,0.5073933774022346,0.5710394541620344,0.622518151112897,0.6101372417889143,0.6820627324851898,0.6510915951159585,0.7057849747173549,0.8450909186015497,1.086345120671902,1.1999315563704955,1.3734332823027584,0.8426170308926308,0.738361563985618,0.64465667718667,0.6611869725579933,0.6009193889810612,0.5691121402735678,0.612111236094781,0.6084005014892007,0.6203715460505276,0.6281614664571314,0.5877733726668392,0.7078646134112433,0.7618158782597062,0.7288776430708487,0.903818297744896,0.996996013449234,0.8522358950852258,0.9332503712235443,1.2509357608989102,1.380872715922886,1.7693373753095458,1.8793166981964256,1.1654755395098737,1.1995544233469382,1.6898938905550374,1.2182321091018022,1.4088592565451274,1.2493214661826542,1.5268340857052545,2.5856012765258054,1.7815981300444637,1.672878594568835,1.2199833727204787,1.2969709604466757,2.3541210774368855,1.1105337707369063,0.9555976392679255,0.9119734951658884,0.8861967887948787,0.9422451249453817,0.7544296079266924,0.7658841071448177,0.6340852914107019,0.7592200280499706,0.7087994675870124,0.8640119080435892,1.1053756099393384,0.8283203807634076,0.933868945242241,0.6522444520508281,1.1395367625629713,0.6869154814320267,0.626985362203448,0.6475264300268949,0.7021886535536045,0.7485277098503132,0.9526037771030582,0.9880100003771484,0.9804424551449975,0.8957407184321903,0.8028807029658128,0.762922528896634,0.8260745271637918,0.6230618034947927,0.6747724005267803,0.5934656796309549,0.7367069424348763,0.6310648315455227,0.5431150044533651,0.5385304091614453,0.5520412069748749,0.5810964839789908,0.5732157701893112,0.6113998253302304,0.7320689222412815,0.6688544895012235,0.793612429605778,0.7649770871295598,0.8974966460352185,0.9525692582932457,0.935334028650042,1.0832045851055152,1.1066381417928994,1.0650695955382754,1.0553156876693308,0.967446003173309,0.8532711470835688,0.6800192407971638,0.6981599939524632,0.5871531997930268,0.6112228758266153,0.6669277257605987,0.652377676302346,0.7361277522531181,0.6172735418238435,0.5950330469634771,0.5804635804285219,0.6170748955702317,0.508835773186319,0.5008914160680011,0.6942504725817843,0.8004664649687411,0.8675468780598617,0.9535330920071576,0.9669061867122325,1.079939895511237,1.1453338044819004,1.0852140708613596,1.0161467675726692,0.9703468042193493,0.917678693695677,0.9682687704951489,0.8473703267942304,0.751308535374972,0.7389771766203213,0.810867614719906,0.9856998465973421,0.730620142866501,0.6969052478638513,0.6996663337423342,0.6727434824775239,0.6651416809863913,0.65921935174057,0.7031656568375143,0.681148666309162,0.7939616616021228,0.6977856797952213,0.8574544329155791,1.2152859488196361,0.9104670618272677,0.7380630865854675,0.6834827239857951,0.7688267381864392,0.6762281778138174,0.7899879583404554,0.7622253890893869,0.7287365572502809,0.778606050268484,0.7880106225239006,0.833858026230032,0.8167176058677917,0.9950411026186778,1.1551377424498883,1.1163034979309925,1.0288657713061244,0.9483630550723222,0.8483469829848552,0.8511331287621609,0.8717252670993925,0.8266290641726395,0.7845858811220209,0.755408053270954,0.7791960579254492,0.8401511842989964,0.9056875958506266,0.8924044877703183,0.863946830002922,0.9304477109080279,1.0381165426180006,1.0300124091336167,1.0301464498102062,1.147257696560263,1.2875481866698508,1.34968236464375,1.6115580777849068,1.4879568507137342,1.1592701489443595,1.2470050216581776,1.1762245801631033,1.3569955219670025,1.4033597324192437,1.3112192581235276,1.3227276979020404,1.3167717634254748,1.27613735615461,1.2777050615046017,1.1960205147504235,1.172074298351699,1.2091021400956259,1.1931747678874889,1.1233519822804212,1.1331661258234933,1.1674224135625055,1.144693151632487,1.1008882969368112,1.163207128129936,1.1833827140667212,1.1491597168295964,1.3327918342218013,1.2689021960992073,1.1946037701796328,1.3485099919590486,1.3002279753417263,1.2708734741834253,1.2825019773892827,1.515248671080976,1.6232228561419102,1.5889181320349508,1.5103409320461108,1.2847584896006252,1.254125204942652,1.3244467752755869,1.4217633642721943,1.4043601711634992,1.3336941266494458,1.43655070749805,1.4744360432333452,1.4884930944780634,1.4510709019235977,1.5545907859742862,1.8435597191451114,1.5573288480369247,1.603112336697876,1.4319215246451322,1.3590134718419957,1.3683458586903499,1.2819332213476005,1.2799942582562418,1.3722786484615344,1.2528157166899272,1.2616611537171092,1.2754014994398533,1.1842345399875707,1.2024109463800874,1.1387115813915443,1.1225204297046278,1.1260294208131447,1.1085422392169717,1.1616837610507285,1.1487108738339211,1.2450509267100474,1.167594471094116,1.205105401617923,1.1907758596449782,1.1912122361685298,1.1933105855185675,1.248819358889254,1.2274204433573837,1.2029611398781643,1.2669529905290018,1.273462757691882,1.2583996588136959,1.2774978621545292,1.3411163461390598,1.4235877473325398,1.3197327829591088,1.4839986281445743,1.5144283911467002,1.6300458584083142,1.499291105768749,1.3781966171603541,1.7452231294533331,1.6046848300075625,1.3742975310202188,1.2299269330961318,1.1637538597262396,1.0576364398239255,1.079823869721181,1.2126537130451482,1.4458863585329877,1.3317988132759826,1.340580471870514,1.1582073355224873,1.1964798582128022,0.9800676619463045,1.1316868474504032,1.1414051803502678,1.077239600982652,1.044081375105835,0.9865030377556696,0.9831892941258621,0.9372642908722418,0.9723804997383783,0.7739223786690188,0.8066705197446413,0.7359359472292166,0.9611838239543399,0.9787970967968108,1.6008382320177257],[0.8755271017849292,0.8296253039317455,0.8246441190828936,0.8122938760332558,0.8451419325894559,0.7592206432002937,0.5824893407582964,0.6105197038934094,0.56262067138761,0.48011211232128764,0.4817329519677722,0.581494522753551,0.487942566629636,0.4609838461995784,0.4865994853630053,0.4851803774012611,0.5294817799398253,0.530877914946793,0.644627633819698,0.6144944175080402,0.745780852598107,0.7962118359654085,1.0474569519199204,1.217330870670363,1.4242416735034333,0.9229126323017961,0.7012866962222568,0.5233245048558958,0.5034057878246024,0.4555017746329807,0.5246443034224201,0.5139431785882489,0.541142953337206,0.5257417746491301,0.4984653076556883,0.483966449847138,0.516281951985755,0.596406483412027,0.5762022865851232,0.6743314622055481,0.8074436866902049,0.7376881653805095,0.785177652310007,1.054782224260723,1.390105794970665,1.8713359762176263,2.018648906981412,1.1448287613225865,1.2144419757732974,1.7697893969096217,1.2459272245698376,1.6572121909036674,1.061432377785559,1.270471065657158,2.270147387053705,1.435595220449542,1.3548680803364983,1.026031413790295,0.9807556637605539,1.9757378968804884,0.8814405112687226,0.7487311214472926,0.7484955559634159,0.9075832703371866,0.8632265163947888,0.6608384121126082,0.8793675337531293,0.6169671221160382,0.7807770718344106,0.6834444410353551,0.8523934070960996,1.1248571690835911,0.8222499592338917,0.9249005224468979,0.7104524896333537,1.2164634490946769,0.6238643605252457,0.5668107522151039,0.5254036804621798,0.6084861070945828,0.5401582537070272,0.7052426409915175,0.9375118355063088,0.7575325576253119,0.6915834275017619,0.5720064410031698,0.570879818979246,0.6332345998059403,0.4986259072102691,0.5749990811900718,0.5274975454152345,0.8154537387505418,0.6658984352249152,0.5357826763811026,0.52213103668425,0.5973659116610309,0.5830274958455794,0.5445056124740919,0.5807301191878418,0.7245550154137907,0.5708963956542081,0.6640701014529377,0.5932611861926761,0.7815692020380083,0.7889713802689532,0.8228858473832844,0.9964512501681779,0.9628751947603749,0.9671376662835829,0.9678390660201427,0.8883838345214486,0.6993769703618703,0.5646571391499102,0.5468234648165661,0.4740661243690264,0.483950154518073,0.552550971039637,0.5445804846745922,0.7141471176632265,0.5734435926853574,0.5993591826959574,0.5536436924265212,0.5597610871665528,0.46407314640868713,0.45994149452180855,0.5491646729743863,0.7119695720989517,0.7197762033796127,0.8253178762874731,0.8104315086940077,0.9333908696024569,0.996383449675254,0.8966062647411364,0.8271305202182133,0.7665921451803217,0.7750262315421267,0.8468800399080262,0.6646330346195723,0.560236169461271,0.5326037299151023,0.6244403561546195,0.8666993806680046,0.6194959105509588,0.5460723996376959,0.6623688778467709,0.48642732391971244,0.48626958242355683,0.49836735644801894,0.5328605369522953,0.5699662173527346,0.7156930300410367,0.6766474094320827,0.8466091659561956,1.3615505318906567,1.0065524881195487,0.6950998109999715,0.5957202790512773,0.6536990002849664,0.5339595029259236,0.6395688172235006,0.5580027059743884,0.5002562772467216,0.540280690670525,0.557755824045306,0.6297420118126055,0.7227451257695658,0.8077000042216707,1.0406620874305756,1.0128963650245828,0.8889317860132777,0.7662812637120433,0.628004183306382,0.6203464259377419,0.6426519346018782,0.5906832379564965,0.5840577017272273,0.551174162211217,0.612157819747171,0.6209183696198546,0.6584589146158081,0.6510135490335022,0.6632602544749437,0.6975178740786554,0.805624730272436,0.7871643887930312,0.8101352523313189,0.9161530967323621,1.2679402885486146,1.3241291911490662,1.4793575348804386,1.381753032345275,1.015903217865853,1.1143977888402126,1.0302141610432027,1.1937362504580047,1.248501460731561,1.140348554954432,1.1968185695995337,1.2387280794835032,1.2311873963961188,1.2599422133143985,1.2103148825094499,1.173423698719005,1.2477379948758363,1.276445348977536,1.22161550782708,1.2450115955517864,1.3170672024400671,1.3165368877334982,1.2868068667114094,1.378172607105771,1.4112903612657277,1.3807243143973948,1.5744038315744706,1.513172048826023,1.3849781374795378,1.6510526617881864,1.520800124586672,1.4702966730437024,1.5132050843773273,1.6640792485620008,1.7959365644925969,1.7383779494819867,1.6458318084147778,1.3928836918360674,1.3493941438652184,1.368286315998744,1.4108373249182553,1.4654998078511017,1.3598426961105925,1.3774517259817045,1.4375196162410084,1.4802510999833693,1.3870406242228341,1.4809408615093864,1.7990432048028857,1.529864383954635,1.5302236584201179,1.3672644121970452,1.2592789541983591,1.2990516445326368,1.282844673487227,1.2777405733180933,1.410744694515976,1.2753172322417146,1.2774024884087158,1.3533594226259769,1.2700930744761865,1.2820072281849577,1.2469696686358225,1.2890197948589521,1.3151815126354696,1.2877026665294955,1.3593042033898484,1.3853423682751698,1.4725079523261297,1.3935821205076673,1.4280827608789615,1.404060565308029,1.3783949847854131,1.3242918945942486,1.3676485166346053,1.40673867545168,1.3581937082889415,1.360824992796265,1.4055993447748119,1.3993196417948612,1.3582718077056077,1.430652401719916,1.5325295674137074,1.4208984984481594,1.5277888640095225,1.5735257065444574,1.7361641399460366,1.5852125319900099,1.4845014119925029,1.8250245240671554,1.7525951315950659,1.611415066582278,1.4525438725523017,1.3309984805441268,1.238778214636446,1.2612857251372163,1.387148249462281,1.5708486341725665,1.374436108106315,1.3769977146919925,1.162501167698457,1.1467522892869835,0.9214433403489634,1.1992860229024533,1.1660735199670091,1.145971734450165,1.1133677088965044,1.0338004649725174,1.1264391043662685,1.0793106768080836,0.9914150813034129,0.8929332430319623,1.0194393271432658,0.8866361299412135,1.1314363787879116,1.1595234248916253,1.716022863055664],[0.8488299131006644,0.7867100723889859,0.7583116796324749,0.7668672114266694,0.7781900179414085,0.7348691649949968,0.5611915153306422,0.5877272616188193,0.5988086913309257,0.5212469649674056,0.5406139278684353,0.6137895560307791,0.5204601510560681,0.5545894943714491,0.5918662600574247,0.5513920951322827,0.5642908243149337,0.593364455576352,0.6907624775158888,0.6573215715022664,0.8069571065211589,0.850102116825062,1.1217036877301063,1.2702452064717615,1.4516893144892005,0.9518609240058044,0.7185275074854037,0.552715652397187,0.525158382871014,0.4747550165367835,0.5967193166387093,0.5410797405967817,0.5601495878776851,0.5716846315699567,0.527989179376838,0.52789912604043,0.5021324900590232,0.6042054992333504,0.5142167612258067,0.5674368655775481,0.7475861890974276,0.73368193071579,0.7733725606591224,1.0461834000821832,1.4924149373722377,1.9761197745420915,2.1946236894202076,1.2300379923420377,1.2403467690199748,1.836399909158328,1.3227786173052472,1.6977525958794728,1.0424094759418598,1.2564805585722434,2.1944560285019814,1.3205958639900126,1.2026863606401568,1.0554868019713082,0.9218041042076394,1.825933600469176,0.8759551894833928,0.8094164574658945,0.8227457767688371,1.0074147492489118,0.9163934281915622,0.7549159177681823,0.961738457188609,0.6820493247342426,0.8802599370353116,0.7765429232826726,0.955746781527089,1.2659962619762972,0.9083076514897084,1.0015101669999007,0.8034972401950409,1.3106189495445684,0.6888722798483502,0.6438561460158876,0.6144453782890463,0.6618049364012955,0.4939880389143104,0.6218972104627238,0.8837413419301164,0.6656653051978721,0.588464514059946,0.47918799114882343,0.527571199466167,0.5612796767875198,0.5456210828075039,0.6056204482329397,0.6036503662256596,0.8942533033410401,0.7909502477024949,0.6320234892438289,0.6102298897797382,0.7192605078981802,0.696443211162256,0.5915036148972512,0.5870766994879291,0.7028815693430448,0.5432490404006333,0.5859258926526077,0.5382392307474966,0.6812993382144965,0.7237234580651661,0.7018559244951479,0.8764165858863805,0.8554703266065478,0.8531561460213641,0.8823927536702589,0.7975358548691406,0.6329473048677117,0.5120349771393916,0.49363327263956464,0.5157770299005767,0.5191293643695859,0.6187593783834796,0.5630247097677603,0.7310671409237839,0.6314062984762367,0.6641864187757088,0.6407487253341809,0.6327242659665653,0.5009470328735798,0.46888307822719155,0.4873141274695194,0.6430346834813057,0.6337707697131837,0.7146628378807086,0.7098452882436128,0.8111018751141559,0.8726757064936388,0.7918980927452148,0.7244529409430709,0.6703203167103462,0.7524634409907294,0.7323591596215965,0.601821163551888,0.5074226487784447,0.4772313272036711,0.6109097309481677,0.8933597796067192,0.5785987804409596,0.4995381260468162,0.6118562595316631,0.44680558896263917,0.4519222968950826,0.4663084783497399,0.47758727398730044,0.540192455028774,0.6478375086975179,0.6495503286864356,0.8018269588918531,1.3324637648303976,0.9986389927238016,0.6558514086124267,0.5657789104442401,0.5808504940177146,0.49925530791060496,0.5632418071420233,0.48696116561872,0.4460030935917592,0.49303625814019864,0.5032707516629618,0.5776343563855616,0.6542936969044687,0.7404580525389923,0.9859811658246005,0.9340031496681829,0.7884700985470547,0.6805418386548814,0.5626304833864118,0.5523401027515795,0.5519938722006839,0.5155558248826161,0.5081674598873492,0.5162543292761671,0.5535607055748414,0.5716624491801185,0.5931758838101158,0.5578261297308917,0.5602233310134906,0.6147598198765347,0.7241194853692293,0.6887706452319731,0.7108712917148526,0.7906555768457831,1.3346436645645183,1.3633181406386108,1.4627131981133952,1.371387502705148,0.9835635864946365,1.0695698651798815,0.9586126254693885,1.1066335755195356,1.1697557493784552,1.0755185679047465,1.102170281240312,1.1479074169962222,1.1077624929392187,1.1693707002720584,1.1004871081234893,1.0600754887808035,1.1459059683109323,1.1842891985223258,1.1206459277311,1.143635755175362,1.2351465072598722,1.2334440183036393,1.201784296609321,1.3041981800004074,1.3549546634950398,1.3232132891442034,1.5179838067105713,1.474618014170045,1.3595781272787664,1.5963215255049015,1.5119999476034176,1.4314048366976464,1.4829286257599865,1.6887496356027447,1.8448327717675228,1.7795071705912828,1.6472958264912743,1.3529956733563613,1.2900735986769016,1.2934804157250432,1.3867249745771335,1.4228884245613818,1.3067714520148008,1.3734000906208619,1.4489463864534333,1.4812156921344903,1.3771584970937978,1.459819145356398,1.7922534419872795,1.50859641764602,1.4777863127744588,1.3152042183289614,1.1853828357737695,1.2244563500642642,1.2011473414578604,1.1861249439100918,1.320873497618022,1.1627261287168782,1.1703280663155857,1.2591168101432124,1.1597136886237627,1.1611304223818797,1.1416878615705506,1.190195135451685,1.2187035139289546,1.1956627694695787,1.2750131377582044,1.3101850837034408,1.409470482189192,1.3302039107279242,1.38044917359899,1.3439885658606516,1.3138148008687753,1.2481755181807217,1.313318384940345,1.3610912693693533,1.2927073945007757,1.3068939177404635,1.3679849159805135,1.367694301814005,1.2982803249170065,1.3941844170474287,1.5237002356730134,1.3893866468625868,1.4803820960665603,1.5870508282430524,1.7585495722797275,1.5862800096146839,1.4550725850437372,1.8784472453596517,1.7461048228727125,1.6141124996610818,1.4070037306958545,1.275647357782208,1.1661325138607619,1.1824363413758758,1.2854632442775678,1.4708419886583217,1.2688100478071507,1.290787898881425,1.051465897074831,1.031401997978211,0.8210469311946721,1.0810645971787582,1.059114114381825,1.0424301021681055,1.0504481885230772,0.9496209170585899,1.0335312831513128,1.014940428241844,0.9466477439387843,0.8551707521761104,0.9887202811947949,0.8721090246523214,1.1799778693764604,1.1932813126264292,1.7947155574041174],[0.7987380943451513,0.7281401319190438,0.6722641411018707,0.6601353011969062,0.6835232846419385,0.6777486840798935,0.5476356991976532,0.5440369057339223,0.6059077721979029,0.5784699144237395,0.5986669234092113,0.6261610494450117,0.6003282360529022,0.6337888830348654,0.6950896948096843,0.6492534617604289,0.6676389432279465,0.7262842193672341,0.8412069053608122,0.8332445129374362,0.9761317534213835,1.0299613659258993,1.2580304777271256,1.3862941854209694,1.549231366565761,1.0952611094081555,0.8886314111862427,0.7033125347177595,0.6624410711260685,0.5986043981887421,0.7102299958213301,0.6048404291470764,0.6252369143566304,0.6669923817202287,0.6400742945680458,0.6831817065052982,0.6037158800685036,0.7512648890857719,0.676539602914629,0.6899640133050885,0.8573429633294171,0.897093327852634,0.9474876668137141,1.184317540910923,1.6794058109173384,2.133564682095317,2.40987332552644,1.443362120120584,1.378710780814698,1.9688007592582553,1.525543143136189,1.8904287101091926,1.2139049653553238,1.3603557501782855,2.1415569746868712,1.3478687652330472,1.2363305424163087,1.2641838949180515,1.0432940863006859,1.8134453783269204,1.023215371595834,0.9930577792962437,0.9901259373087672,1.1605486289763982,1.1084589756588934,0.9353890073517988,1.122377022129873,0.8386470078720871,0.9850058639299106,0.8727675870802881,1.01289731235177,1.3329267854945697,0.9757174500791058,1.1074799161854776,0.8968957661609268,1.4137232746029997,0.838522697404549,0.7978003587718165,0.7869899079697333,0.8666611083723524,0.6510210387130941,0.7229905171712249,0.9325113303044408,0.7813617455414953,0.7112488447574199,0.6064535056451675,0.6895011782815389,0.6811110435039145,0.7246736808569126,0.7330825950011156,0.7447603950715764,1.0316939437879682,0.9255703968733419,0.7358093571446847,0.6930300967410303,0.7969620995151068,0.7353266260875927,0.6391663064641558,0.6170263595760076,0.6931063782307065,0.5828994875899857,0.5776629756866647,0.5870851425483714,0.6095666880073008,0.738263607915491,0.6394304032784535,0.7084853003048687,0.7313854926569132,0.7141069825183554,0.7562295227831111,0.684412533938621,0.6064279153861155,0.5280679390767424,0.5416366674268703,0.6291986849892318,0.6517388143511516,0.7397395789478599,0.7143972344470488,0.8359805954255957,0.7575346483973344,0.7623616626316955,0.7520350418512365,0.7537467310391739,0.6203767270066095,0.5602070426095958,0.5234112293109309,0.6042624092033603,0.5977263080059957,0.6330430593709793,0.6420807625992236,0.6875381186134591,0.7115746548589615,0.7337905100805406,0.6718890509460325,0.6706138628314708,0.8346424667493624,0.7049712932635273,0.6483300209010927,0.5893036623123165,0.5990277293483691,0.7576327002139375,1.0662745728717264,0.7368886130604722,0.6721757726233257,0.7842171579334432,0.5915391704192818,0.5834309581632262,0.5572794524749037,0.5406715021196175,0.5766637452382619,0.6077504526761419,0.5945409357721874,0.690979873799025,1.202643579906769,0.9569581405657104,0.6045857586115553,0.5684073577023212,0.562600108865663,0.5567496174632852,0.5617563222132763,0.5648430672778576,0.5719003763891887,0.616278017544424,0.6471853189506681,0.727270073014066,0.8082633146250731,0.8162862289806662,1.0445430790488268,0.979499870139625,0.8200600572942077,0.7202597014159198,0.6572474900934594,0.6451868876948054,0.6194280322215945,0.5869602965549374,0.5543788089062726,0.59524396420761,0.591789335089058,0.6447968426005722,0.6476923876568387,0.6475145600345221,0.5924230003848059,0.6618611160030428,0.736124671398473,0.7221433851728307,0.7961056305878138,0.8172478938635552,1.5598272825752717,1.5298904718915063,1.563522825026424,1.4234887951964952,1.072065352987045,1.135413391628601,1.0103147950184475,1.105184071401884,1.09808787442945,0.9735815084639302,0.9517335532255927,0.9604392593632273,0.9140742576121469,0.9436454983806083,0.8674466495578814,0.8482620964979443,0.9126982570269646,0.9333105502695683,0.8917604305882997,0.9266084879950302,0.9949504874244508,0.9876287180016116,0.9897711668799042,1.0892908134820931,1.1381907916069094,1.1217936172461096,1.311174495294653,1.2919463407697607,1.192427824877003,1.3738173138052723,1.2780038688757647,1.180705534287982,1.2238645386769984,1.442888951263976,1.6320235724313992,1.5625561792813827,1.4736303090340008,1.1176429156122554,1.0509973862663262,1.047901608027437,1.1806259141261575,1.2022354855674424,1.0854472084157012,1.1870292267543014,1.2806704565396996,1.2731792342012371,1.175233971122012,1.3210140905289556,1.620621103368415,1.3390972336964369,1.328343615477026,1.114246611544477,1.0251631883987702,1.0322104400996506,0.9732068329605608,0.9908478373040156,1.0749524734315525,0.9543114366375606,0.9632641888287424,1.0145725928917426,0.9215847388091521,0.9268645849837899,0.8917770139628576,0.9438983237442209,0.997709884501064,0.9675841734840093,1.0274575342036483,1.0776114985885157,1.224338867620514,1.1033294174741255,1.1330598873232132,1.0932703411939966,1.044517530963512,0.9857203461936163,1.0590078621610073,1.0895419502263093,1.0367309218192005,1.0542990675233983,1.1138521181745817,1.1200437784678128,1.0560780016229514,1.1535183925340702,1.3280616401567307,1.1467924789512176,1.2501670866221823,1.369102361077238,1.5120807340680578,1.360823673181178,1.2184237161309772,1.725274281457806,1.5563117869072103,1.3848123800686492,1.2006876453913358,1.0633776358849112,0.9984319910077346,1.0453678730595992,1.0461559215425102,1.2009323879192155,0.9976399828174678,1.0364680177801193,0.8691611850569771,0.8455231900707824,0.6902204283911226,0.8647398259519221,0.8485182087760924,0.8251157869455717,0.9383098083775779,0.7856874858802134,0.8315948724722262,0.813949327558524,0.8307964848178929,0.7230021374010922,0.8295231130039891,0.7720892324578149,1.2549051807532596,1.2413858458495934,2.007998215703605],[0.870914872151706,0.8411234729236274,0.783408415453419,0.8110897415109112,0.7547487251690088,0.7864052118718513,0.6302977537484282,0.6431179507633916,0.6943236047976393,0.6319536728015737,0.6695528974802492,0.6896604503864743,0.6410187363229293,0.6975891047840324,0.7740600797929083,0.7201833069322399,0.7310673720547761,0.8035088874594594,0.9402295423324942,0.9285765027621701,1.1080435262951853,1.132513205603107,1.3397493894050743,1.4827816254419275,1.6316442344726463,1.2222888900353883,0.9862044144584976,0.7772599927210662,0.7338283050492117,0.6800904431045581,0.8178909138183232,0.6988851472549081,0.7353611375211765,0.7672596091329305,0.722266929520564,0.7751729398753462,0.6779311919161463,0.8160597405480877,0.7484037560817266,0.714834399184516,0.8873333525513694,0.9731503924864991,1.011955722648202,1.181397628335636,1.7373514907711218,2.198027860827789,2.489947990662857,1.5012185865603398,1.4220952848511033,2.0152287458022973,1.5670366901507649,2.0761362306713727,1.2611585921844122,1.328188389500104,1.9868217843340572,1.2303321109518233,1.153766101644716,1.2944340596515118,1.010848227218699,1.6566972986236987,1.0945916740607025,1.0731847026724868,1.0932942359334787,1.3792199459702,1.1960552792828285,1.0655041099582414,1.2992650999841195,0.9496543466105758,1.0949738608146717,0.9550006860927699,1.092754094973526,1.4035758227468618,1.0801888812360227,1.1796671319573797,1.022027408945918,1.542598688840354,0.9507894156693046,0.9066036253072034,0.8862529662668928,1.0044985247500744,0.7283814467918717,0.7672755312375721,0.9893195117102898,0.7935116696453538,0.7495928294784344,0.6418233347668901,0.7550126796695533,0.7456111757088597,0.8401148344937887,0.8359335386556276,0.8549132893711207,1.1780902617657152,1.0480662055372962,0.8463196971547159,0.7938729569368628,0.8871280116070998,0.8085750431265077,0.7314130086162989,0.7015752157828351,0.7737839527998522,0.654975546274782,0.6375140716532697,0.618592245662462,0.632036660244449,0.7061040225479438,0.6394140839890909,0.7240932696760252,0.7179349120893277,0.7097445825642358,0.7747710343481015,0.7124726825919261,0.6158117593139447,0.5637370722835757,0.5640129087408586,0.6564904784870506,0.6878633539733817,0.7768367610615112,0.7894380634121908,0.949788293260745,0.8302776881718187,0.8399614101700407,0.8068713042518755,0.7761506105294214,0.6446934458774789,0.5959283076117512,0.5396271595314319,0.6396777394756378,0.601414091715852,0.6574759780989577,0.6580432987529193,0.6843051914447533,0.6968090823823001,0.717078985479631,0.6635667311607546,0.6683390216549563,0.8457524405952183,0.7251218009934813,0.6692823870542363,0.6214296638567405,0.6335138739003493,0.786275983465248,1.0703645127736965,0.8110943710071333,0.7349044758191642,0.8735288322252485,0.6570058100624663,0.6407161311569501,0.5947654226801181,0.5646177463900995,0.6229101957087945,0.6640143076655126,0.6967134290580481,0.8176462535194332,1.3645303005151115,1.0422722589052473,0.693073725826663,0.625807876774778,0.5951409282551539,0.5950045569777502,0.5741928327365565,0.5837479406630859,0.6216232057334756,0.6523985321087953,0.6930438730674041,0.7764516446042267,0.8850319753517508,0.841388811690961,1.0657947326942776,1.0002677899152317,0.853243020010053,0.7345660111948983,0.6758472076805024,0.6646793082642082,0.6362791598496816,0.6047418057477035,0.5993318487328548,0.6533048832719145,0.6497111319899732,0.6437689700769503,0.643767252224667,0.6613893536743989,0.5956121350327395,0.6717819902323299,0.7342092474526544,0.7285982434815063,0.8203278768311895,0.8221973011860764,1.652115759871785,1.5968527413076499,1.5484355629825235,1.3968725511181475,1.165667204863391,1.183695873170768,1.039205798921141,1.0824593609067077,1.0689796745186695,0.9483882847293962,0.9370764770385402,0.956504367761518,0.9363524943259406,0.9627132511111668,0.9081986160889159,0.8889723194387679,0.9630561309481019,0.9907397981267363,0.96531176811168,1.0028791677273752,1.071063277733769,1.0874359307328056,1.1011743026900909,1.1981283932382192,1.2561299619016102,1.2531734103230465,1.4309815148029061,1.4111170686646521,1.2903237239437486,1.4959163968121598,1.3729243422678392,1.275546708232798,1.3278424298992435,1.5062471578527556,1.6964502880837435,1.6089295877302339,1.5564222679480795,1.1709628308469642,1.1043555737428759,1.0916325555952313,1.193124737452467,1.226904181780316,1.1141707137291115,1.182822192347795,1.258587393994455,1.2805756403132689,1.1672055340908325,1.329179073181565,1.5978700717089132,1.3454344120373904,1.3446225935010523,1.107081317169253,1.0162500085292716,1.01890568566675,0.9979780019902763,1.009569984250023,1.1083961954831376,1.0032064749123573,0.9953119385909428,1.0694737106277254,0.9882490879113258,0.9996579252834514,0.9704359095523458,1.0474742461659325,1.1168716173130209,1.0768948312566518,1.1402258973205892,1.2179857299794503,1.3286229302970642,1.2373979656813332,1.2652689698329367,1.2129701452315573,1.1475044253231026,1.0602738114578898,1.0983444597450844,1.1639642393487726,1.1083080828716239,1.0876101603460298,1.1608963954641573,1.1746552569815858,1.0937685213078956,1.1760591139121812,1.3554418317568646,1.1924907214142233,1.2722317806078012,1.3820069917738222,1.557177312661425,1.4072617249484638,1.288310322106344,1.7657776850599176,1.6445293456494254,1.4837535947860063,1.290617756805322,1.1409531147632863,1.0748524961635757,1.112284233107802,1.1589234822045817,1.3006421514538444,1.1041128101178386,1.119467595808344,0.9139835010721659,0.8638115449358721,0.7200884128426328,0.9322328737485804,0.9078561420472439,0.8938735597066996,1.036813543211742,0.851142104953437,0.9405285376790342,0.9405658635502525,0.9408512369777557,0.8524075750304961,1.0071554798072693,0.8854550610272028,1.2859275271468285,1.328911240340713,2.1030756130410024],[0.8657343630003492,0.8192402978692795,0.7616663183209447,0.7706285907334799,0.700580874879435,0.7489178826043063,0.6330761398328076,0.6365594578528772,0.7264844093836874,0.7147784766694165,0.7637588961461087,0.779364612227769,0.7613302738265172,0.8175557215579466,0.9093620012928326,0.8774002584759288,0.8873488138181146,1.0096497164664417,1.1798365270442739,1.2335316576559041,1.4528775371064648,1.4946360211186327,1.6959030805529065,1.8321582809336836,1.9204170867662405,1.5535769189758517,1.2909275674542393,1.0492036954943524,0.9684273719911972,0.8501301164152946,1.0229692617690094,0.8485772496397141,0.9035732628600985,0.9951371776584577,0.9590896157542957,1.0347767021656242,0.8889942833472886,1.0712692235735186,1.0824089632366287,1.0495931920011412,1.1772266242807892,1.2827330397439893,1.3367713107875345,1.4644762055681506,2.0590462359817057,2.505919966381268,2.872678120115547,1.8749785961039442,1.719518687255588,2.3371150739997,1.9483284760231776,2.410510859259889,1.6268962100261506,1.5335381230068197,1.9461636620725196,1.4268104074093912,1.3240671524438135,1.6136158197216701,1.265451798929666,1.6315579850485895,1.3964834315656387,1.3906100525859026,1.3987821803212281,1.7555198168724144,1.5181034695571392,1.3704475005999885,1.6093888439582094,1.2334403697919951,1.340802396151552,1.1540357896298756,1.2722700318040108,1.5748369912513738,1.2747099617701116,1.4164078046373423,1.2623323530316184,1.7794086541082268,1.2241674830676288,1.1870874239235123,1.1781890318020096,1.3435590580604142,1.0513684029325512,1.0334486711402262,1.2883966128979485,1.102645266250414,1.0792157173513908,0.937873618328736,1.0649630715609495,1.0173763432811336,1.151273784641473,1.0983689282529199,1.130502926246476,1.4183738351471624,1.2832865216036704,1.0576221366724567,0.9647573311928422,1.0361364236331527,0.9507875346547416,0.8807108680555117,0.8041362120233072,0.8278101309278387,0.7588668058526661,0.6952234434859054,0.784569526162531,0.7255731618414751,0.9001445218728513,0.7712639281993887,0.7645084032352194,0.8078208015516639,0.7501137925008368,0.7852516844233676,0.6731495955976416,0.6858126369004975,0.6236480328042072,0.6823899557024912,0.8002558419184604,0.862072674226391,0.9834725527043022,1.0444521975890497,1.2012989474907376,1.021697463274893,0.9959669214878742,0.9594412454164754,0.9228521595688043,0.7741946119589181,0.6730110638571373,0.6459500028949958,0.6290769154902618,0.6558644549759126,0.6944918968976489,0.7818592250011276,0.7907784726702528,0.8042970843833445,0.9470786735425243,0.8671087252254801,0.9129243893806286,1.1010642294709152,0.8868491295570957,0.9123245658100242,0.8704958584886394,0.9076539154508342,1.0817926934878128,1.3578058490248832,1.1380434294451693,1.0521837811404,1.1904305432704156,0.9235469501889797,0.8750981692142199,0.7720836792324323,0.7069695628444342,0.6839726007661138,0.6356445600664776,0.6873756359356967,0.8219689126670336,1.3487607045203334,1.0989435599781547,0.7191041091403602,0.68576684599634,0.6370812446966716,0.7242494442216415,0.714608958273492,0.806106928672368,0.8948232916174007,0.9562461777180138,1.0304474658165865,1.1326891806679509,1.2474098531450941,1.1770874060784178,1.4131277434128782,1.3180671124801533,1.1480188264654605,1.018927193621721,0.9881300968731145,0.9810389104665993,0.9282178982387178,0.8832087428511244,0.8039369924387366,0.7988707021218721,0.8318785775043708,0.9162421639866523,0.903834879049019,1.0038682926481717,0.8704195799520503,0.9885392823542944,1.0643627099160433,1.0552140860990864,1.1780301874255248,1.1084382544923885,2.07143999934345,1.9770546908470517,1.8588289885507747,1.704109587236345,1.5274223708507186,1.5201311355077611,1.3412223976288484,1.2911313689951023,1.2570874785571706,1.0766346023074305,0.9969140060087032,0.9620937749278465,0.9036195536581189,0.9130355853650631,0.8195425326379403,0.8108794527910548,0.9015118089943006,0.9162836079460913,0.8744847519931441,0.9391554030555911,1.0078657392450574,0.9927844755038727,1.011152228759361,1.1299668078338552,1.1930484527967522,1.1826937921115748,1.3705678878445886,1.378801309409395,1.258689489432131,1.45180455923426,1.3474127925334218,1.2249693893410682,1.2758461519652067,1.484157180311848,1.6757611845114506,1.587932394589529,1.5427547749839796,1.146512477555543,1.0731652347003573,1.0479990432605601,1.2073602146374502,1.2256427657882978,1.1104615486196108,1.1888311625647603,1.3046743056584116,1.2773928505715142,1.1746221417860776,1.3970685181809146,1.6257107015439534,1.3769379712454628,1.4132067387447538,1.1045428083119646,1.0573362537934985,1.011804583115808,0.9384455856270083,0.961214256307768,1.0035206670461367,0.9268011345292015,0.89875691556236,0.9692386093916485,0.9070877537385458,0.8813882198567974,0.8732759369564735,0.943224854213074,1.0187135580504527,0.9817990045417602,1.0408255913392825,1.1286248220095718,1.26861443030596,1.1560042147462362,1.181697774165533,1.1260381578295804,1.0566736940953156,0.9737601155820192,1.0252548895294495,1.1011029472642222,1.0430528987165266,1.03895380515579,1.1271918197812896,1.1452101397677417,1.0582201995591958,1.1666260524753758,1.3495510055010667,1.1701363373028226,1.2666736890520964,1.4168895642983659,1.5442466632307792,1.405375904530609,1.2671953752766998,1.7967136469114617,1.6239917619673787,1.466047030579561,1.2774918057282327,1.1097401353196807,1.0349324130633621,1.11092449292966,1.0923494305747345,1.2224419730796587,1.0063300888407336,1.023002452563366,0.8573374559348338,0.8404614968971951,0.7126779367943494,0.8280530551378819,0.8066905224168774,0.7990672758662501,0.99005857125791,0.7630151754854616,0.8364873536841849,0.8344160625054492,0.8691869990913181,0.7823118509184491,0.9207242315578674,0.8683547753732108,1.3571658145483414,1.407943108878033,2.297598792178153],[0.9890287057057804,0.9634767876987915,0.87166967272454,0.9096265881414577,0.8006208598677567,0.8783940909536124,0.7359542748362048,0.7581375421586125,0.8294300255500404,0.7585221471825797,0.8026401345669415,0.8413577634413405,0.7602554242889016,0.824065881836185,0.912183719539548,0.862071844098921,0.8734585529755403,0.9562637876560641,1.0916325276537258,1.0931227202938854,1.2900470191653044,1.2965703517010696,1.4635018412009058,1.6100280071509656,1.731152087276452,1.386981074215097,1.1311793539703785,0.936339392776754,0.8904773831849538,0.8433391564706605,0.9850536362501815,0.8618598261807696,0.919254104987554,0.9733132173538134,0.9132035076627412,0.9680506950017503,0.8339311859689048,0.968321348675134,0.9072385183031941,0.8498363866424772,0.9603197476853164,1.1041395130376017,1.139738766859107,1.2472195248228828,1.8198013687725934,2.2681682214811802,2.5645798121984127,1.6011159519877158,1.522279588474015,2.0736617626659575,1.6301109216124394,2.3037554927944566,1.4001381170462517,1.3528924456918208,1.824829179210834,1.2107079005190302,1.1569097994505357,1.3861685976039426,1.0862002146315555,1.5721109974754577,1.2398243689179382,1.2351860289963326,1.2880018000515152,1.5974354712998282,1.3139194514894232,1.250386829016805,1.4910877445229442,1.134499726862673,1.2607457325538969,1.1104930901578243,1.2257852134035305,1.5114083650374595,1.2282574416710734,1.3185247371887427,1.19841743894952,1.709976301391052,1.1222792735626965,1.087448827424394,1.0725905961405102,1.2115669140464433,0.9105348453978238,0.8899417715784518,1.199826466462151,0.9305607039266538,0.9134578212018126,0.8081487470775807,0.9148836065410577,0.9020713813416399,1.0393286818835579,1.0198663086043573,1.0521706364576913,1.3347271561265803,1.2041982354365532,1.0197011138215528,0.952285288381728,1.0306461600984889,0.9529483282225251,0.9012314560944917,0.8621249090636357,0.9157899069293068,0.8118562849697326,0.7530956531988318,0.7580119214730635,0.7350418990119268,0.8045847217739336,0.7306020003151777,0.723344434537954,0.6746594428788552,0.6877982686047069,0.8032106357769535,0.7391394536497276,0.6843439705899834,0.6606316190467322,0.6586449518132947,0.7565122944044719,0.7895343898928445,0.8948229713120834,0.9339282013498311,1.135874782382144,0.9720019635547896,0.9710123524019889,0.9164190895585463,0.8623773465815948,0.7397268479754053,0.692135086242546,0.6213670174902597,0.6953487650296821,0.6542420445146908,0.6713228198296466,0.7095644805816114,0.6690198154897906,0.6688251095488559,0.7203650353191531,0.711186586532207,0.7245412235950371,0.9515490246965183,0.7657494283656028,0.7922070514497547,0.7547369694379358,0.7646430071660014,0.8981211815293396,1.141122809150045,0.9744297992956515,0.8865523520699139,1.027657379661765,0.813206562260048,0.7815015638881312,0.718285619753851,0.6740922106264033,0.72055405045372,0.7349417218033315,0.8043372676170698,0.9220092168622629,1.455159389348608,1.156450702804005,0.8184514786928404,0.7521088869716415,0.6995485456539737,0.7221386991566732,0.6943649156867409,0.6782558631380383,0.7718512025633741,0.7941913601070743,0.8430639097687256,0.9055431943508849,0.9926149670990138,0.9126783541890837,1.1174537492268555,1.0384965936846422,0.9093632903851757,0.7891043989972327,0.781583217520202,0.7829808501248874,0.7590740486214519,0.7470228970440717,0.7205450607572855,0.7591811166338237,0.7932878919479298,0.7976874789783834,0.7424186948168768,0.7969809440521952,0.699508173005979,0.7482497143659965,0.7993013728062056,0.8010538156744349,0.9267766517346798,0.9152273828561794,1.8004579118789144,1.7230148594758596,1.5882468986793428,1.444215561101053,1.324660750532658,1.2751812642740195,1.106756821200359,1.0815547929327518,1.015225291280545,0.842089567649486,0.835091036509598,0.8645733481276591,0.8902594570055962,0.8861078809334217,0.8645924434844162,0.8705079172280225,0.9197333971915086,0.9504968593607592,0.9711503597872679,1.0011931913378675,1.0411921607325365,1.0814213656672442,1.1191426994466922,1.2158668428187849,1.2722496384281692,1.2907302262231148,1.4384140377643613,1.4366235789606177,1.2841501978103669,1.5166978565743447,1.3277555116219182,1.233111821051201,1.2855327836248942,1.4545916307850122,1.6727712589625376,1.5716581334288966,1.528929913743033,1.0987690809521231,1.0254262477859521,1.0138269073744937,1.088840812574409,1.1363380302515311,1.022588471575924,1.062092851306254,1.1516991052314445,1.1574408064728465,1.0297830782321094,1.2354038702245889,1.4473248162819978,1.2277201121620227,1.2966553543770956,0.9946711180962255,0.9048720007169817,0.908250183494646,0.9132594617926034,0.9433557475563313,1.048559659856778,0.9910676137973682,0.9178093487335597,1.0248679881023968,1.0019099095089463,0.9968140813768459,0.9647594808476114,1.0637133091919448,1.1484383638454607,1.0861331569325863,1.1312893999713014,1.237321648153008,1.3636711237834007,1.2508715310845275,1.2719057394443714,1.196205399477101,1.1198196342864963,1.024586886711492,1.039860227289877,1.120266412297825,1.072046944590188,1.0306420569520898,1.1049146903620923,1.122911693745959,1.0248580823207785,1.08290553903582,1.2788787339526202,1.1182426966234322,1.1625360348214588,1.2701496540790218,1.43907854965094,1.3105507341043692,1.2223557184526188,1.6899818042837866,1.608960454074592,1.4354084660319888,1.2612317368114714,1.114228787266611,1.0873462593236252,1.1297999347828804,1.1321661118962838,1.2525013734130162,1.0794868357002407,1.066528967027445,0.8752895493438531,0.828426915673902,0.7314228374082772,0.9481649120899353,0.927334066668244,0.9177156679916628,1.1270966184337021,0.9068911356418029,0.9846310100672663,1.0078820790256555,1.0239901622773318,0.9437782105947891,1.0678591527587245,1.0160621652896031,1.4278632872155197,1.492892477849376,2.3505907036157274],[0.7481282631935868,0.7308776601915056,0.689125004285633,0.7101136811975406,0.631877941528489,0.665419190698144,0.4996269740385469,0.5109142482328566,0.5731893949299782,0.5266860887227858,0.5598877709114768,0.5946287390125518,0.5538425646128634,0.6062888243236656,0.687427673041798,0.6486234465038958,0.6673424944831309,0.7515591847888214,0.8953703687195395,0.8961802128813556,1.0764987228879028,1.1051595296521053,1.3222587889310244,1.4645442911290862,1.6164267576865214,1.1933026125824948,0.9594616721475172,0.7554297352819125,0.7015236073701181,0.6211608641882139,0.7522461563774389,0.6305864597151801,0.6581297489221949,0.7190208252571477,0.6848730400253096,0.7480926369083856,0.6341782208878457,0.7840787792534646,0.7419713739335159,0.7123422001730952,0.8740813210558307,0.9448950895570717,0.9801728778826015,1.1512218617401122,1.6900086318209653,2.170723573160029,2.418372346933573,1.4463567658817948,1.4232893343857942,1.9994232098451659,1.5196010674647342,2.074751719958927,1.2323960222176567,1.289674669393735,1.9471441615498097,1.20262022867319,1.1227397154214946,1.2540688684917822,0.9743981005893375,1.6531953522131355,1.0843779670438045,1.0362783242231337,1.0595599874648767,1.3270128482336185,1.1521512249476045,1.0264699534443054,1.244549895339521,0.9070507388689468,1.0557559047404848,0.9077665842598084,1.0520881807369116,1.3581092614346129,1.026492936228147,1.1418130153657329,0.9777950499366266,1.5155004722725345,0.9050232638985399,0.8624017451374466,0.8489963633365796,0.9824345929012723,0.7075278011140015,0.7414015606925245,1.018228017492327,0.7883626230788462,0.7563478565744356,0.6316907469866843,0.7271105761697754,0.724658226779588,0.8121961522785857,0.7990066937388687,0.8148978467161204,1.1174170717784477,0.9809114768605144,0.7765428388937857,0.7212378603145512,0.8066026631823845,0.7401253727635467,0.6585045023437166,0.613360391217396,0.6810197079333137,0.5774855155486828,0.54326645885344,0.5449519485035607,0.5475367046528911,0.6636027611631219,0.5762902313587216,0.6151963581401465,0.5998579566946641,0.5881094792908453,0.6741567397425957,0.5836720658555444,0.5178289684933923,0.4480849892398015,0.469315683849666,0.58732519298864,0.6293146881406911,0.737662844298501,0.7692391194165227,0.9325024595858263,0.7874041003333897,0.7935829446004204,0.7474133377286254,0.7283856972936571,0.5761343120372249,0.4871677113334416,0.44187526621350465,0.5059039319084379,0.49654369514789937,0.5449456647839788,0.5843618752383402,0.5930452374493627,0.5981494791178051,0.6517548646967888,0.6065711347093412,0.6277363307492618,0.843837747072063,0.6798830690443693,0.678636602777747,0.6276277853939254,0.6267223186497733,0.779675083782378,1.028446575057514,0.816175096893498,0.732353835801077,0.8688097519909947,0.6285895631809726,0.6019422938244575,0.5260281096703375,0.47614078387118686,0.5131385775152999,0.5266310100234284,0.5663466574527614,0.6959678915564099,1.245354017046106,0.9631036991481288,0.5675427008855267,0.5133458078670015,0.48617042348506023,0.5027197858056265,0.4898109522452158,0.5161225949829479,0.591817656322828,0.6492991504711568,0.6930940311324443,0.7875391281060169,0.8839198538785583,0.8212913169859439,1.0490337844252682,0.9812600574272722,0.8377332899845121,0.7099299633965573,0.6746242373040408,0.6617085175271379,0.6195713734374803,0.5923093430799051,0.5471358430051473,0.5848222151269923,0.5983086008391029,0.6409516800721115,0.6043228850730328,0.6636044611402011,0.5564841363891222,0.6285823197314446,0.7067553660160029,0.7019881469766088,0.8115706592624983,0.8376033587552663,1.643308433515532,1.5923220060524856,1.51099191800409,1.3743729174138115,1.1716985183718076,1.1739591092634147,1.0141310277804114,1.0310910909326783,1.0046596459838395,0.8301796692845841,0.8144775094286644,0.8338051193798688,0.8292523215387113,0.8210368672018579,0.7637045557053375,0.7590868869894767,0.8236956576771068,0.8386713039914464,0.8286857720036884,0.8825167713353512,0.9221627916358693,0.9283448280620026,0.9546051747777236,1.0609004828913753,1.111977284625527,1.116831548116787,1.2894160361408742,1.2850170274042678,1.16053399780981,1.3522848481738545,1.216369217876071,1.1156770063997412,1.1574141120075918,1.3414219183293412,1.54232074028299,1.4740991816994324,1.449705690585018,1.018471000832156,0.9460487572017638,0.9458529921221515,1.04511954943096,1.0883574913216674,0.9729968419240429,1.0365693151127124,1.1353829581807076,1.1338108773644264,1.019762097795749,1.239361713851111,1.4641296117373463,1.226439368574623,1.2948962679059994,0.9767915963294627,0.8899620103487736,0.879982102538614,0.8474403833574071,0.8709379106738842,0.9534231499870245,0.878714273802711,0.8355480695507481,0.9054291701032676,0.8560954705368132,0.8526863582525589,0.8144580931102323,0.8952281970460328,0.9746956956442298,0.9274718091277259,0.9818042012854065,1.0736021659277815,1.2140121087705704,1.0883992223520487,1.1060360608967392,1.0494117764815676,0.9742404217593061,0.8961120030805578,0.940751726241221,0.9979689742906073,0.9540123294148817,0.9342052701965456,1.0076864424799936,1.0215882785709922,0.9492413108092934,1.0250837020965666,1.217945469570915,1.0506350773042399,1.1286690918421576,1.226693690527779,1.3876917931277297,1.2568209190037947,1.1601327539936006,1.63528884634477,1.5456865439866163,1.3445080940206773,1.1746260364440404,1.017992379174745,0.9562488195076032,1.0454140404260084,1.0464794330189482,1.1875832216171132,1.0108218908855846,0.9987548952843988,0.786262474193238,0.7508842869729022,0.6018919019526526,0.802723219637007,0.7768700789648663,0.7512472796217402,0.9452471720717036,0.7195421631536204,0.7975125467200351,0.7864877207036796,0.8134037313906384,0.715096815969093,0.8592125149759933,0.7784080584716327,1.2817169773761767,1.304751785406858,2.185370991797558],[0.7215325489194991,0.695920930971848,0.7168610583968359,0.6487483492707288,0.5632716531428268,0.6069262869558848,0.4771982050943001,0.47155134255925285,0.5380266754325697,0.5348810118602072,0.5649581187948481,0.5914320620124214,0.6112594977648338,0.6404115269664182,0.7476277386722521,0.719509690591656,0.7602374937181562,0.8707827141076793,1.025448225670408,1.0790659328000112,1.2946077251541703,1.3282046148553246,1.5536278386438012,1.683795684314498,1.764985527935895,1.37081481089436,1.1372572387086297,0.8893633731226868,0.8268953502556381,0.7266176110162554,0.8722633946107382,0.7082864991986157,0.7540224381455283,0.8383699973062759,0.830029992013034,0.906119701270251,0.7612314666118394,0.941121260270679,0.9302162473333787,0.8741630331012844,0.9887655450474162,1.1392301180284032,1.1858625959530817,1.3245201113248464,1.915509508662182,2.3481762229608116,2.712176537281295,1.711747238177864,1.5353281897475464,2.1704203866532974,1.7784150573792146,2.2507389131406317,1.4660598339250075,1.4111900237435127,1.8941301496014222,1.3169788486404213,1.234831356264462,1.5191805210499567,1.1394548044315829,1.6241256682824314,1.2487781926427988,1.239794090263418,1.2411158078199975,1.5487009715954887,1.3541191243874942,1.2216279988618788,1.461605613631732,1.08248629368643,1.1642016110830156,1.0078360816200078,1.1442296912997345,1.4707084129114336,1.1358239527331815,1.2626997809960878,1.1138378799784219,1.6784219518951526,1.082002521237723,1.0432782325392997,1.0419152221721868,1.238186866397096,0.9061110154743178,0.900746177956955,1.1682118123755878,0.9668923274366532,0.9232185528168038,0.8052243552663503,0.921278173347937,0.869499957766243,1.008460693909713,0.9525226585042489,0.9740562470796512,1.292931033597865,1.1208799928696582,0.892988525394131,0.8149060783185116,0.8735642228217703,0.8108551142613649,0.7223328464487399,0.6348249800979024,0.6417879895962835,0.6214511733283058,0.5633845799797222,0.6516390324591632,0.5575057993182436,0.8171787198913969,0.6411905171282141,0.5954101691329795,0.6632295475367127,0.592138375926691,0.6518164308745623,0.5215025232560027,0.558735124573277,0.49091399241061795,0.528595132124688,0.662712085517111,0.7160582223017317,0.8196566787016253,0.8792573698937215,1.031764864605058,0.8729630886241643,0.8535061610751516,0.8027091712579594,0.7787292213041795,0.6376110518145163,0.52554703390514,0.5031598581830745,0.49154122458418276,0.5433318963714646,0.548556296426187,0.6556975807561616,0.6300523130285707,0.6572425048699626,0.792417139778853,0.7373918615151586,0.7642598669892697,1.000585043000134,0.7760618765979715,0.7858643930017264,0.7219744889947498,0.7634860468032283,0.913217929129455,1.1970985286937428,0.9828414525971572,0.8795324286828744,1.0550292199290645,0.7645028403804186,0.7258170629050861,0.6256312177274124,0.5648795060924049,0.5410301132156407,0.4765428262808779,0.5133503366427403,0.633324131081738,1.1752881410330598,0.9575536267758906,0.5288965665767456,0.5142976546350119,0.49090481411692677,0.5747270765204318,0.5682910377300205,0.6656333599357206,0.7582486297227694,0.8122902559804229,0.8865124056544064,0.9758024139553712,1.0796376516046289,1.0133255601279956,1.216720812897534,1.1314760880847623,0.9630828152801578,0.8625187721124217,0.8440862057318352,0.8425008462587252,0.7993259049950462,0.7666316189574519,0.7010805123363442,0.7038997234304106,0.7268399700552592,0.8260553709918184,0.7857769733056187,0.8732065137936414,0.7555013811956282,0.8810015363421295,0.9397633049777768,0.9091441840400438,1.0227644718816522,0.9219218373620631,1.9640394820196554,1.8468126935045512,1.6965388518788205,1.5329752664965433,1.387172309212472,1.3665510769576967,1.2124181935758473,1.1888571062477455,1.1276540170728342,0.9195391548840006,0.8381286084459756,0.8217928212725449,0.7495177406028706,0.7663092604783446,0.6624861769480112,0.6559498541137218,0.7486584088964398,0.7500537790161321,0.7208863273234839,0.8148607510223055,0.8576629889381627,0.8253902608456478,0.8534248539553635,0.9776863961296266,1.0262300342813775,1.018875856786686,1.2045715137207562,1.231157674724343,1.1505198281071907,1.2486770337939823,1.1766720726686017,1.0583745614365223,1.088093726056096,1.2856166391335826,1.501125144655182,1.441134183783321,1.4800808491852724,1.0358180422986911,0.9314672764018244,0.8939795586523605,1.0631091667104484,1.090022985471539,0.9596040162409614,1.0759131445580576,1.2267983350113862,1.1712710791684913,1.035931537094603,1.2737949675210853,1.4763357811211526,1.2487172054643951,1.2657432340100614,0.9705266436389497,0.917560583909152,0.8781241916000434,0.8032011196581521,0.844389778887887,0.8582986763070759,0.7902241474999131,0.7562999122568581,0.8011813155754341,0.7341275924161536,0.7042904995944388,0.689505818545037,0.7551249991740517,0.8251164154321183,0.8016784740457715,0.8730849244361492,0.9656005610838886,1.1361349969797654,0.9943046432847167,1.0114622962390374,0.9684424701922462,0.8878512206798423,0.8049679809664702,0.8756607910126333,0.9466595567527257,0.8918294374549398,0.8845846000745345,0.9820442846698759,1.0167664374005603,0.9235757574330308,1.0324054751118577,1.270475330202154,1.050040762839476,1.1105899654331652,1.280014505999861,1.3959582296362036,1.2499578773633,1.1241784014518976,1.6569822196787258,1.516644783629848,1.320205961331912,1.1505190543240114,0.9809109100010155,0.9248562181491702,1.0643765661072513,0.9558092837777432,1.074847746533802,0.8752071755934453,0.8730163244601277,0.7123487069187944,0.6741355740275268,0.5724953446528914,0.6526307687128851,0.6175584449046295,0.611408458357177,0.8769393303843568,0.5997629781531776,0.6574741913444784,0.6419464119299,0.714974383205162,0.6270034053489122,0.7872336595202692,0.753445546359211,1.345909588660113,1.3677891358458518,2.4007615431407046],[0.8331543323678025,0.7890321670606671,0.7718172765919251,0.7047976159986256,0.6384765259357494,0.692175742801407,0.6519015720086656,0.6693691261941005,0.7453059894489855,0.758318959292709,0.8066980832040744,0.8335700963612704,0.8285760335962952,0.8819823781624738,0.9926327445280978,0.9647721064856923,0.9976190843693908,1.122102924741467,1.2599911201685372,1.3152200255284514,1.5272227437411978,1.5375451242932352,1.7157604876684214,1.8513100317751496,1.9240150741663837,1.6031201929332395,1.3442619694054905,1.114471180459658,1.055049325476283,0.9753857821054984,1.1347310621085418,0.9783259020870055,1.036343056431955,1.109491012023489,1.090147644200458,1.1574933925608115,0.9952570962172322,1.1131447299888777,1.1335603630643705,1.0600030469358357,1.1353277800167885,1.309581074356272,1.3507561516994948,1.4470437983744628,2.039401566156759,2.433155510984432,2.786172555993847,1.8367338079761097,1.6437436296026875,2.2049036803098527,1.8300583255668508,2.493222944709284,1.6282654292886756,1.5337634472756216,1.8506131223507392,1.3913906537938383,1.3419526319997757,1.680894154573278,1.2999433523333188,1.613422216454959,1.4319852365827435,1.4650320121712124,1.4975663155200052,1.8106875760462513,1.5598660889182614,1.4711538492933174,1.7093927890891552,1.3316065648108328,1.4032369543320526,1.2247896432068126,1.3487897454759263,1.6515054833287366,1.3595911097392603,1.44970905798739,1.3717755271752785,1.8808923167405303,1.3273985450329904,1.302234951938224,1.280936232225221,1.4548361292414076,1.121381361747808,1.0928146698087924,1.3340059841561698,1.1086159946567722,1.0727288191545894,0.9979521464462974,1.123853863474421,1.1034670311940213,1.2476091785578947,1.198257329996573,1.2234786350055855,1.5431727140840419,1.3626059298351325,1.1516980911350976,1.073730089390995,1.1102694633216643,1.0544023308599713,0.977700678140998,0.8889071610487593,0.8629315227667435,0.8711919370298774,0.7372571080079576,0.836596996203024,0.7356350414678071,0.9165295332050605,0.7646377058788502,0.6489143857247023,0.6955320311099423,0.5998532662297766,0.6703551243534818,0.580236280086854,0.6676673879780213,0.6585010724112961,0.7020146892221591,0.8533914178064494,0.9110453553682553,1.0248117775616483,1.0886735204338727,1.259289888391653,1.1190720674394277,1.0996279140852976,1.034482751860272,0.9830705547702331,0.8251716446141817,0.7059490712286077,0.6401739141205638,0.5853887192301608,0.614378338901179,0.5987187799556273,0.7168285126462067,0.6250468955629526,0.6515077769238509,0.8103688564949496,0.796374892435475,0.8213936605826714,1.0532554108517416,0.808551278976332,0.8597373852170697,0.8398272051527212,0.9008038358938637,1.0766474701559186,1.328852658713218,1.1729679117570573,1.0678337112502472,1.2330752440055963,0.9692920331164555,0.9279523509031056,0.824837682692536,0.744172780134863,0.7308848567761683,0.6424161098188963,0.7089845848768577,0.8017824641910295,1.330040138137842,1.123820614843944,0.7324382508674967,0.7221992665427348,0.683936681932565,0.7816856465861531,0.7348654024792114,0.8168100866010923,0.9319708808745117,0.960826096938431,1.0396668898432873,1.0845505558823447,1.174074649601143,1.0787549637299343,1.2512868574399094,1.1541016388402559,1.0191265810288186,0.9117580853581383,0.9270375668649219,0.9473915126417415,0.9264362641208331,0.919326070723523,0.8640208326809291,0.896465310954974,0.9284244706819444,0.9856161117934376,0.9130629576569738,0.9997798868734806,0.8622311182965884,0.9547502361912554,1.009022213255285,0.9977227030290531,1.1350753673396885,1.0560320232367986,2.0686945988808993,1.9154340038141986,1.7393425733590722,1.5723989761372956,1.5242328191956784,1.4427234534325335,1.2585959092731511,1.1727693381500885,1.07396554095014,0.8545185611476042,0.7651342452207008,0.7301517549546316,0.6784961949090944,0.6652191034934328,0.6019312943834261,0.6097838703631518,0.6780481469858747,0.6913809133292226,0.706543422144946,0.7866652090547946,0.799852950833449,0.7998536676123271,0.857752495209666,0.9634958417395638,1.0128575951421135,1.0370157785135763,1.1981356311205849,1.214040398291206,1.0988027145068555,1.238494733841589,1.1194911809725225,1.0035781049621337,1.0292487932207393,1.2193211672979538,1.4613773852481307,1.3866353268242553,1.4345134272818936,0.9271233590361673,0.8256253821206635,0.7967612251269047,0.9137481888761779,0.9606160543989751,0.8461033818274352,0.9485155675141397,1.0930417532160834,1.0393773028727815,0.899561733927533,1.179849081580108,1.3380049069220235,1.1290685454844251,1.1850804906137715,0.8465291488835166,0.8015853151588084,0.7554486534212129,0.7126307723305974,0.7619041995028151,0.7600194743421388,0.7644340991347122,0.6840371534254223,0.7427074892520891,0.7312811732754881,0.7100244504845985,0.6693203849380568,0.7712155235095963,0.8786696134732783,0.8191808908674582,0.8531842352931306,0.9729077880099002,1.1441792821116719,0.9832193857973308,0.9864222360371933,0.9196929311772538,0.8295427855318019,0.7480205620289067,0.7848401846250356,0.8707710976509789,0.816570402139073,0.7958605210695281,0.8815427890860886,0.9255468307392194,0.8222753430895875,0.9165433957204149,1.1550873452938664,0.9522186558463501,1.0074288822353326,1.1605441187676624,1.3019653795619692,1.1614401481318202,1.0524795742562618,1.564294005547104,1.469907877613981,1.2568101915289007,1.1103487963643313,0.9405162131633589,0.9252568221869286,1.0439501887592935,0.9135277556971849,1.0246070562035918,0.8204920661200203,0.8009867454750194,0.648649790098431,0.6091082642136293,0.5939613743451456,0.6771134812704128,0.6603029954242136,0.6598150832558547,0.9567769423786459,0.6812026449005871,0.7249757405907878,0.7391997832784092,0.8280920090586418,0.7303613278491002,0.8587115608377306,0.8777418375419839,1.4711705339926269,1.5219706049408666,2.6241891093848513],[0.7485895642086642,0.7388720433714872,0.7472537915802192,0.6814791997793854,0.6511107949107169,0.6567026385266411,0.5573630571672273,0.551969355470008,0.6056920899794014,0.5813726480854662,0.6038222683037501,0.6355931110802452,0.6277036098683725,0.6589323735550008,0.7530905690753429,0.7204609609285458,0.7464988432277623,0.8286867014983246,0.9430337500129072,0.9809383364592577,1.1468584057789628,1.1799632635605548,1.3421350196782824,1.4716199817824815,1.6323824580391761,1.2553442375452135,1.038300322266352,0.845670276463954,0.7936926355201144,0.7198494341618941,0.8476941095414345,0.7159915467128211,0.7580273290525237,0.8196919501938469,0.7918584178585621,0.850372981896905,0.7401935339359726,0.8725874485772394,0.8381790750640531,0.7774425550097854,0.9083567382386918,1.0122607574010978,1.0464799337310509,1.1847061517551092,1.7148742972446611,2.1638008372087754,2.4078933774806,1.4934038047866136,1.4553045616010265,1.979189144547494,1.5308338171830662,2.241246216784911,1.3186908050043509,1.3339890056166177,1.8371386954522955,1.1823823746011664,1.106999005128651,1.3450027671618014,1.0060257404650306,1.541436979577106,1.1138758347484476,1.1093713801641913,1.141683548931149,1.4050706007739144,1.2127355879104205,1.0963825541162142,1.3212747625331225,0.9904324672400849,1.0970505785678133,0.9628460559769335,1.0901859453474276,1.3880811657820353,1.0758580187205464,1.1904317141284773,1.0380844805217795,1.5829780538633311,0.9824896266293062,0.9522650913835213,0.9504415853787794,1.106326440226466,0.8157195766212529,0.7962135133855807,1.1584845649781288,0.8706083536492988,0.8296688067437701,0.7327165093186052,0.828756439284307,0.8261226509491546,0.9205702509998696,0.9015293845265733,0.914431364044962,1.2205668812757375,1.0706280184759922,0.8684752752173843,0.8028560387652315,0.8719347522860004,0.8134337154939696,0.7371782842955302,0.6712632220815128,0.6881581717719505,0.6588141719834779,0.6012830115008109,0.6600637747974636,0.6102259713390009,0.7862462651836325,0.6766845297936018,0.6117249220958142,0.6352441295422196,0.5931773403850862,0.660092850390721,0.5651297182516807,0.5841824036595629,0.5425704160161695,0.5637751432302855,0.6654384147665489,0.7112356100870927,0.8044088019193865,0.8387898657658641,0.9912774950757764,0.8455570431614988,0.8334884868137394,0.801142202294725,0.7758317726296494,0.6415729514271683,0.5686274996746489,0.5358659005690701,0.5493607185183569,0.5553101584600575,0.5692756077438403,0.6380415619251553,0.5831240062781147,0.595239889447417,0.6776205013036461,0.674306100611675,0.6864090077082028,0.9185654203363908,0.7231931279309174,0.7368836952638343,0.7001453806604212,0.7002517766808206,0.8383056107887504,1.101427251468398,0.8965129944160347,0.820516000919686,0.970885554246525,0.7312280731002381,0.7021887451322203,0.6291825062851368,0.579107582738664,0.5889362843297329,0.5547890786537261,0.5866159550649531,0.7018143097736468,1.2660520830034163,1.0187751663365057,0.594957177345809,0.5636971433660473,0.5420942947034455,0.603215434347798,0.5950397430239486,0.6334394755478431,0.7166124168273224,0.7347492418282389,0.7728670352610366,0.8391339561427692,0.9310689901118563,0.8511969773980747,1.043915463887052,0.9765605230759591,0.8466734512507205,0.7312500364258608,0.7336395085122842,0.7334468312096896,0.7032820140687108,0.688065603635319,0.6567913848185356,0.6751136906469147,0.7131639546354152,0.7434201959594086,0.6940916582336812,0.7556749940518901,0.6841923908043778,0.7343516146407743,0.7702448800625346,0.7410057829439469,0.8623823200731597,0.8481596813338815,1.7163249969607162,1.5796862275576464,1.491074015386732,1.3795114205639407,1.2716694499910857,1.2314723185078718,1.075340928008933,1.0220737008580234,0.9614725244165017,0.7853563557268728,0.7615302823752168,0.7725801470394703,0.7304830715385973,0.7185693707866093,0.6699852208825754,0.6696025710907196,0.7446244162200886,0.7493314460418733,0.757088709362664,0.832036691397619,0.829326090524086,0.8175820476491302,0.8590015451446842,0.9619551847925619,0.9926978559322859,0.9938291294480174,1.1410661073701183,1.164391362280047,1.0753434942571976,1.2001182815922804,1.1135906633592367,1.0126279482474445,1.0229862705630328,1.2156739271863357,1.472127632615817,1.3937449118135248,1.4278082391562983,0.9442099196882566,0.8583627762063055,0.8507697133679605,0.9398560908476389,0.9735751845120613,0.8791382552008942,0.9610886981835935,1.0743520143679064,1.0490249256517719,0.9159957708081381,1.1655673135001772,1.324230608758176,1.1312142795289806,1.205911433832991,0.8794784570041778,0.8198520872615003,0.7917217818634195,0.7715307430853103,0.8315340423040403,0.8307083523605674,0.8212046676996397,0.752283847347641,0.8070852230984569,0.7872421925827713,0.7609000657070178,0.7167450463254968,0.7956666081898865,0.8869089109586391,0.8305688035655576,0.865719979277309,0.9626461052131086,1.1264893526448982,0.9675934660874497,0.9782199480604091,0.927890686971844,0.8508405034119674,0.7910057706663084,0.8328229181584595,0.8918978982593544,0.8468301296739453,0.8446667507565674,0.906205948014935,0.943959066452492,0.8628978122127728,0.9312760791867989,1.1433738486108285,0.9759391680630574,1.0337939109415197,1.1537218976755277,1.2950950423982035,1.1785787655377202,1.0929965977535223,1.5582559899455048,1.5021835586137662,1.2400097836681094,1.1356526835012917,0.9743222224535446,0.9421599752032856,1.0761855471849529,0.962914836830002,1.0911688641628927,0.9243757598116379,0.8882157511455598,0.7219671792520922,0.6707641069787889,0.6097104354827472,0.7080234556731421,0.6908213416289415,0.6799603202590034,0.9716544786709568,0.6765169881354821,0.7149647203389582,0.6989442173024403,0.7723203874240011,0.6735214430175696,0.7869638445452697,0.8159908113333934,1.4330794984312472,1.485302813893496,2.597678165451756],[0.6091780739096879,0.6046205140238669,0.7699257163436523,0.48888242359862527,0.5400649583766408,0.566028053790604,0.5246221638512109,0.5399952204564988,0.5883050207202518,0.6034171575542115,0.6194943491608472,0.6355026418392378,0.6831222596857339,0.6892925396831199,0.7738728311255152,0.7634319570760351,0.7881518189730161,0.8410948315593757,0.9410977565126407,1.0051560728925204,1.1677615761972366,1.1906379316456288,1.4086557373124604,1.5316617547793692,1.6877579488346561,1.2605057173709553,1.0673252804089544,0.8639911224077643,0.8179771323136066,0.7608032025314516,0.8645155012420616,0.7608981534589851,0.7870251706798294,0.8407454724128814,0.8403496963286429,0.8967306486421116,0.7917290154171829,0.9275561933085742,0.9058995109484952,0.8270913643951734,0.9319862944736562,1.0530758865487555,1.0820086331310517,1.2292000357561739,1.7642507460398449,2.222498728757921,2.5153289675154653,1.5556142344625872,1.4536562347577713,2.0634186270942987,1.644738599965579,2.1827686096861134,1.3357136381726815,1.34376544388208,1.878311936466029,1.2310804787064367,1.1559226961241693,1.4355301495533446,1.0283764564310975,1.596279729150878,1.1135860487659757,1.099405809834783,1.1356598372326643,1.3676401260315285,1.2011234234853148,1.1057471621216264,1.3200649197849732,0.990033451868103,1.0520127927957519,0.9475944742606294,1.094672224526261,1.4114219749696333,1.0598947517648476,1.1739170821016294,1.0423491813186505,1.5648844318012232,0.9983966392326125,0.9706575679163691,0.979442728963865,1.1565248936304213,0.8768338911439324,0.8678777507180083,1.1854933016308111,0.9662174996847739,0.9155510213377743,0.8136022484745753,0.8829098583704573,0.8715444423641807,0.9680427940307669,0.9189608859357296,0.9226552931662276,1.2092086624243303,1.0730878797680714,0.8817758252134825,0.8243787194743553,0.878542959724492,0.842156274875958,0.7616281178978689,0.6954536507805285,0.6867196300323678,0.7055190062183203,0.6322490985485941,0.7323521005720284,0.6416286700327081,0.8961926408125983,0.717591860098052,0.6363724532662188,0.6852947635271195,0.5887643165292905,0.649196659612196,0.5274563412354322,0.6369025165023241,0.5928527534018534,0.6232388316630881,0.7299344444436676,0.7648128827964744,0.8373759165292118,0.8499200349679439,0.9561437135237637,0.838457072754336,0.8328678306564499,0.8130335569236167,0.811901342388311,0.7165695222015842,0.6243280075791332,0.5898284276778197,0.5442971785466258,0.6012216671913239,0.5744301885795461,0.7069451100809615,0.6321963139792012,0.6542902746359288,0.7955952792007062,0.7732542988470352,0.795178734939633,1.0665331486686755,0.8196466353151016,0.8566836528753616,0.7872122657108792,0.7983732087259761,0.8758183959451394,1.1230944584114997,0.9233125667568493,0.8675557780277496,1.0287605948461187,0.7829680952897724,0.7684802745129312,0.6977334555942831,0.6470480960730504,0.6324182444600922,0.5460120397292094,0.580134065694078,0.6944123059069423,1.1548062969417057,0.9940386100352311,0.5875189103780539,0.5905467500408975,0.5745744790912888,0.6660465567329511,0.6503493829121649,0.7333328241519872,0.7981717287343596,0.8360474607076948,0.8882346345661447,0.952187413461881,1.048843513381032,0.9800346730189312,1.145752074018399,1.078633431009426,0.9438757866564392,0.8616008454281945,0.8700145309348808,0.8667160697530208,0.8394584652225983,0.8162909069116946,0.7736197178720624,0.7718914773173157,0.7966741010660541,0.866580626282033,0.8371858808169168,0.8898399277347337,0.8127058093270535,0.8978066877581083,0.9285815012906964,0.8984228132140423,0.9733191146665354,0.8676757367324555,1.862960992444853,1.7228486845597402,1.5908085317586815,1.4452948266601509,1.347788702863772,1.3328425104429065,1.184923356963208,1.130372949422812,1.0486317104682663,0.8503327882472665,0.7673690293696238,0.7316430383595038,0.6545398757205624,0.6408410437476042,0.5372133496785165,0.5474118334968597,0.6044728758137417,0.5868043945232927,0.561731225170905,0.6721542204615752,0.6708351698837763,0.6157780754258573,0.654099068122781,0.7513883993277071,0.7763432033223863,0.775269083492345,0.9314864755388053,0.9799691588709718,0.9674612186978808,0.9810232088834873,0.9504269016776106,0.8357053394383653,0.8391847142404544,1.0520181747683413,1.2787055154174747,1.2798514844982358,1.3821370902136012,0.8872237617397839,0.7912433876187227,0.7641630627679611,0.921711832432181,0.9375465014296597,0.8364040197671522,0.9478428594532381,1.105477821646999,1.0253384845792906,0.8924422868587889,1.1874458761586058,1.3143194290272022,1.12355418680865,1.196277955497429,0.8418720358138421,0.8148681582212005,0.7667009597026302,0.6818145974157589,0.7294636823803973,0.7201903772483528,0.7012977466933653,0.6275016539566841,0.6470778351321333,0.610450716058316,0.5932547649989224,0.5454247384042616,0.5850620340519044,0.6602558500150386,0.6210601658311615,0.668678975954203,0.7393717341544833,0.9708911692225457,0.7596370344209966,0.765077861982592,0.7282253707231927,0.6768612163606953,0.628620546816732,0.702607807360453,0.7334639630631277,0.6895948363502951,0.7277225818203593,0.8001724933788196,0.837665577240854,0.7656345206745935,0.8783496509542731,1.1313785624652135,0.8938206558499391,0.9687586006962192,1.1270852909376274,1.2330551898944275,1.0863424222516573,0.9430174192845897,1.4568743083025748,1.3288825601768597,1.0808833531247437,0.9849179772388625,0.8234433995087787,0.7957551526468475,1.001658174895301,0.7775530217547307,0.8824838529574516,0.7253753238278597,0.6932796182386513,0.5919428975191889,0.5887888935052046,0.5722065571075629,0.5534578055277345,0.5541539388159391,0.5315439947945251,0.8492004413328689,0.5610449973660261,0.5294398250519033,0.5035514508130164,0.6492501172061651,0.5045758247079101,0.6348762396667629,0.7363417582119083,1.4663311651118955,1.521462331501492,2.620817165972354],[0.6387385064206987,0.6524708116178917,0.888531335147542,0.5379850756747685,0.6635953644948275,0.6353180327493323,0.6885846394500206,0.7321920133628003,0.7392180785669039,0.7902244425535092,0.8080520055422973,0.8338598515622697,0.9144792632228818,0.8972650595918701,1.010042007650921,1.0258596620813056,1.0581854531322505,1.1379317536817244,1.2452523342016095,1.3466829158733977,1.5191803347044135,1.5410434967448596,1.713830243591564,1.8225265821447705,1.9290633324055104,1.5878653283757482,1.4076318546832354,1.1851020562428158,1.1343107802089936,1.070591819313634,1.1527440462739214,1.0550564232426576,1.0813533999077822,1.1525636531681085,1.1690188272205586,1.2303350591323672,1.112805030995621,1.2415382297483177,1.270266033425671,1.175634078432152,1.2073794566476284,1.399035082476785,1.4321775195575572,1.5159471757981116,2.075295128699277,2.465687319890631,2.8350747618061876,1.906437532085174,1.6933589398219036,2.290389714209126,1.944673410808117,2.531896573897839,1.714756486864862,1.5926954778054445,1.887261018632521,1.4523412182439785,1.4102964579201747,1.8026771608505505,1.3347057412534982,1.6120817390433309,1.4191414397767426,1.4374598769195843,1.4613666047970792,1.747253334933873,1.5339950852047206,1.4578383663539185,1.659291930602916,1.3202746212294048,1.324293436178587,1.1877099147951133,1.2972448577620108,1.6075998933567213,1.2845154345047576,1.40648312832108,1.3267412695716274,1.8319617914938977,1.3335597389484566,1.3128723913358367,1.3389015075613022,1.5418463016573936,1.2515699245222391,1.2018213310915065,1.484166593033067,1.301671573245893,1.258179599140733,1.1638708872855141,1.2476790094888295,1.2124491463371208,1.324390899777,1.2517198138882342,1.2501951696078895,1.5164757037627479,1.3627120278566827,1.1664531954357025,1.0912524826901049,1.1164950540832692,1.0558840690183384,1.0028816430634742,0.9221506425392385,0.8884649826036455,0.9890038671052589,0.8946012987091515,1.0467868508466696,0.9238129146137338,1.1893308382367918,0.9827065933547727,0.8897491914386503,0.9118850228966962,0.7895783134288475,0.8352225812688715,0.7141043322911105,0.878413766284109,0.8294050581614636,0.8866451739020205,0.9798266424554812,1.0308128610545388,1.1090086595394515,1.1540335410178615,1.2260451353840887,1.1067816350846271,1.0725186987843123,1.0457746511621824,1.0304366176650386,0.9284788668693968,0.8238100894237369,0.8310238886427553,0.7286071005370617,0.8272550640381253,0.7853493179046219,0.961394779674145,0.8594571545368851,0.9090935157133915,1.0832704807255626,1.0791977674597868,1.0844591952254399,1.3044604251484053,1.0264755726345094,1.1143084986822722,1.0505913308507868,1.100757731016032,1.2013077034029291,1.4092647567372407,1.2600020476864509,1.1993823121674885,1.3712413598691062,1.108937960222766,1.0767745027229751,0.9873672678962098,0.9340619080431559,0.8792185590031721,0.7640419902035464,0.7826342168268438,0.8616863718055732,1.2400227070675085,1.127454466811645,0.7998312280797527,0.8265059510272246,0.8394830905614151,0.9548337708145107,0.9335773435641096,1.050615989686967,1.1310937787898785,1.1685867251409092,1.238907015940284,1.2963477868900093,1.3753134482503306,1.2953025558548814,1.4089659432422492,1.3255174836963528,1.2131455344172681,1.1513771642899833,1.177736301401998,1.194699687707387,1.1848564605769063,1.1604268740045416,1.110371905841284,1.093953315007146,1.1251102978499763,1.2081124235632439,1.1862178585115883,1.2636887774178127,1.1585819147033218,1.2629015460132356,1.286205135304509,1.2668818644145834,1.3447176679223147,1.174651137709259,2.2436015355765973,2.0487456135654885,1.8384145577577908,1.6602401896539167,1.7014050005340495,1.632117898144037,1.4699408823282154,1.354273331881559,1.2440260726839318,1.0169154206890958,0.9255814289793483,0.8375203607737844,0.760571049767061,0.7298765030311961,0.6409243499503896,0.6484775034364896,0.6713232677072026,0.6473753310776721,0.6324293631273239,0.7262329842185347,0.7053824235205979,0.649275087230846,0.6867761440577814,0.7618285952422577,0.7795067928295474,0.7888451003442343,0.9207868837208603,0.9751556838579144,0.9791515425861832,0.9545465171445433,0.9321203204104526,0.8255479297146877,0.8212628836359562,1.0280784595209895,1.2586898578210381,1.2711773072823704,1.419901934046765,0.9287406087330131,0.8549774054174454,0.8216421356426876,0.9740476757020916,0.9806179731363728,0.8934267078687348,1.0122929052802496,1.1823746889066937,1.0660350081208898,0.9516586288401786,1.2741534173775155,1.3217512405035816,1.1673933828693783,1.2441015522699284,0.8992465107413452,0.9398431964752476,0.8707955516405335,0.772891099501252,0.8480306311365905,0.7798941389556654,0.8267411382758957,0.7299503799442739,0.6949608851140271,0.697289010255787,0.6794360151272847,0.6272760325056604,0.6509648539795337,0.7126540269991809,0.6731953208399636,0.7070284809409614,0.7694112330443581,0.989908498859744,0.7830152878274683,0.781198825317701,0.7416040429948387,0.703909677022608,0.6736760307776924,0.7381897033100968,0.7436171847352061,0.7171773492214126,0.7686717797387325,0.8225774759043515,0.8574140505029942,0.8047201781333194,0.9176613984305427,1.1617783473059624,0.9156924929117569,0.9922630449766862,1.1645573745436237,1.243869638094387,1.0893844131186985,0.9287835682728235,1.4501619626831928,1.3005281569029716,1.0560376616248013,0.9821269852438904,0.8411130408726284,0.8300143069366765,1.0414550213743956,0.7870205158559538,0.8583782874486335,0.7209234230624156,0.6896776890629253,0.6631465814776645,0.6974581584676985,0.7423870588400485,0.6486380544256206,0.6622907442333552,0.6400890039058991,0.984409560189656,0.6761533743107134,0.6160508218703806,0.5941066936167451,0.7374372911814111,0.5885320302438118,0.7129784340855843,0.8672033733776628,1.61119847986288,1.682901042640256,2.910925112375225],[0.7214169634305831,0.7666260247277864,1.0569754175170205,0.6542026760848498,0.8221052169665922,0.7555447963706976,0.8436262013531342,0.8919151270075232,0.8590509927735996,0.9067478574554494,0.9069110892545049,0.9456262279163389,1.032319989087988,0.986267889031384,1.0920403162613594,1.1258082678809114,1.1575306378068049,1.2135377015576516,1.289762502893787,1.4049114149229593,1.5448217120640373,1.5641409842432552,1.7088698864188774,1.8067926097807305,1.9458584581334601,1.6274470858723113,1.4793680344666191,1.2774383060221077,1.2299112689048506,1.1857029458747226,1.2328223383239603,1.1681396805470936,1.184532453469973,1.2404833520170926,1.2670893909649565,1.3203704810286043,1.2268049339955411,1.3309174845663732,1.3733500057125196,1.2720679362073675,1.2746675322360577,1.4539825904180461,1.4761588651464876,1.5441149062698454,2.0686914218708363,2.456065139839737,2.7862848206205992,1.9032579730935095,1.7329128856281657,2.272900470383016,1.9220189288147396,2.6261374554718,1.7735657261188518,1.6568430285667075,1.885544084405042,1.468125748212676,1.437161430462985,1.8491148714013619,1.3770299810019366,1.6051121703654105,1.4482629794071518,1.460766203065502,1.4966770612459588,1.7568549700107339,1.5376254126742077,1.4954088756228394,1.6716452678941907,1.3618257045479494,1.342831641423088,1.218152065083181,1.3057577512786667,1.5989620205415804,1.2894810149199418,1.4087226322714832,1.360450200870171,1.8511963443843857,1.374916656171926,1.3629619149408205,1.4042609919785822,1.6081911958372581,1.349013482256107,1.292596887281371,1.606298392757629,1.4107279923415377,1.3643682051852295,1.277340691888127,1.3413086722359877,1.3153131717835203,1.4005297077620953,1.3285900956481995,1.3144056066193177,1.5532009090545325,1.4133415601572854,1.237219451343095,1.171570138298525,1.1842002910696077,1.12985787022204,1.1006258129058206,1.0387891213732894,1.0123789078767234,1.121713815933025,1.0469150051971126,1.1943168057730047,1.0897218379779237,1.3440631650691752,1.1465018648536422,1.0576241086371696,1.0675321986180177,0.9566868988392753,1.0026581087500257,0.8901312858164161,1.043491697853662,0.9918349882710636,1.0477983472478494,1.1101138328962465,1.15517004949416,1.208895434358317,1.2535406913931988,1.2759510914483687,1.1725713757644984,1.1343533158433368,1.1250397659393547,1.1249322300578384,1.0438902245546098,0.9595775014642587,0.9942848377325575,0.8912915052957923,0.9947517689905175,0.950529704669352,1.1246128236862014,1.0087337481611538,1.058856489459484,1.2211682262043666,1.2347333648440766,1.23132593607233,1.4257269699174526,1.1536212361900204,1.2584537927796542,1.201606661015741,1.2368602217452833,1.3131051513125174,1.4621021708151862,1.346680159658438,1.3139604902005275,1.4747819305472822,1.2248467840449162,1.205143317675419,1.1253581660592429,1.0896573698706788,1.0351577643122405,0.9270804086152237,0.943069369179208,1.0074866897776282,1.3190752854769991,1.22529546828809,0.9457921216936014,0.9699445838079114,0.9968904747078008,1.1027189551515761,1.094520652113099,1.204242071966445,1.2591079115593693,1.29895444922865,1.3557022186287386,1.4016204045042866,1.468820682621339,1.3867341174641998,1.4642095981162364,1.3912455265074273,1.3141534313687937,1.2662106137061337,1.3075527360024894,1.3259968594884821,1.3225797171881857,1.2999009026130541,1.2606793725172538,1.2323548292688558,1.2691336159831552,1.3344569849762462,1.321348609391024,1.3937708852574275,1.315239097418466,1.400197898860163,1.4089500594071664,1.3924113282240758,1.432715579230888,1.2657322302930039,2.2806180224326584,2.058108246879967,1.849804204292963,1.675030604735164,1.8195983635289703,1.7275883110632637,1.5702189846691927,1.4309334113947187,1.307959589040878,1.10374144175075,1.0284272041859235,0.9426560309746853,0.8882554774209149,0.8490640388642064,0.7994564859013044,0.8059158425230516,0.8008972184489579,0.7882134949079176,0.7882833109744741,0.8584148420006628,0.8263251787282513,0.7776149934138362,0.8040203256093463,0.8531222327254311,0.85824148028722,0.8697250014888993,0.9647632356946589,1.02394451461096,1.053672109682782,0.9841842624653372,0.9718750369736723,0.8825759941308916,0.8722781490339363,1.0396133212602392,1.2768942714104656,1.2984744753993864,1.5102125745811388,1.0071404718277297,0.941858792426049,0.9153626285701929,1.025063727082366,1.0272411806031776,0.9594295799921001,1.06928910166521,1.226297801803783,1.1025256716711616,1.0006057677762892,1.3256616932673464,1.3051308976878397,1.1891818220214698,1.3022235267912416,0.9631520614310991,1.026453998865262,0.9584616386431621,0.8916827127251954,0.9796797414810675,0.9125203309215927,0.9805933317903048,0.873207702963003,0.8240389481901902,0.8664552140563206,0.8384432512696112,0.7934045984485081,0.8170309349759983,0.8511869228828947,0.8147123756258448,0.835150758849947,0.8855195825608394,1.0689045379984996,0.8799719482893429,0.870925735829896,0.8457598262736051,0.8245243629552328,0.8084089154125,0.8423876031215499,0.8351445674669419,0.8258955703182321,0.8723530473046459,0.9010808980150902,0.9302005725137568,0.8938970733803219,0.9822337757791746,1.2084579200422148,0.9827175176070835,1.018384608229677,1.1736754105609097,1.2216781899267322,1.0892226097865003,0.9550302040709241,1.3879233219133478,1.2774944116603069,1.0507336594635486,1.0422033649929792,0.9395757366817197,0.9399584799340478,1.1566947361947513,0.8734293004381221,0.8945002663374326,0.7953718126017749,0.7539912980756992,0.7800593908076355,0.8403594328529399,0.9090409602826467,0.8125396562507955,0.832623386543622,0.8119539950657291,1.157225889592851,0.8515435321460548,0.7769169312362735,0.7621271896686538,0.8877394412904639,0.7324777522967476,0.8398507232709964,0.9931123553230836,1.7139408129876532,1.8147920337074324,3.127094488133695],[0.6500632762149535,0.7110487540189697,1.0681366570910333,0.5522865961430174,0.7344690733753797,0.667219422240379,0.6999092535798713,0.7429640955752185,0.6914096026832126,0.7126982181681929,0.6972472958857366,0.7434236210528792,0.8257280375058147,0.7520453040029589,0.8399636823118356,0.8790742809480842,0.8872093441573737,0.923633857782233,0.9903261148972733,1.1128034257197121,1.2351985160689454,1.273909998861195,1.4676775147082424,1.5672868263912687,1.739463458277339,1.3136178026423548,1.196657041459881,0.9962790104891438,0.958807863604525,0.9258554712865108,0.9549462845472574,0.915474953517222,0.9230819079299236,0.9648369608722736,0.9961262178867598,1.041423153243355,0.9746649851776489,1.0978706168860708,1.108192162548279,1.0158259154781089,1.0628602932527955,1.1952833686561137,1.2213223326069795,1.3471101962634673,1.8514991916200072,2.294712597397278,2.5965663288140237,1.683359818369011,1.5718043960625576,2.1727456337461803,1.795925757762095,2.352901868041826,1.5077377461952348,1.4682005797497706,1.8957942568867234,1.3285628436241104,1.2735518150976848,1.6291202315047055,1.1597471820378147,1.6185528440177477,1.2107676150126614,1.197929298237686,1.222568284086996,1.4053814763049641,1.2856996593718966,1.192385779568623,1.3536607179727351,1.0586650754030704,1.0519278314006997,0.9602643617297366,1.0807513378557458,1.4231351221966486,1.0464283243410215,1.173231474070099,1.0728590690320505,1.5792738443218408,1.0832282863279024,1.070624303548084,1.1180445713010123,1.3265644393689913,1.0733796789422654,1.0446861778990046,1.361967499808761,1.2081958864259177,1.1492923922682674,1.0423587443793412,1.0775229854637034,1.0557251310605222,1.121466908142226,1.058745913309284,1.0309242732199322,1.2748059674651608,1.1414858244255917,0.9666597271388309,0.9137679911765662,0.9309427089034992,0.8970027048105507,0.8683273735144605,0.8231511561525159,0.8185542277133175,0.8968798560750023,0.887688646383694,0.9914661174098197,0.9237531926043636,1.1998296092047511,1.0187661936100878,0.9478113600158884,0.9737102798070022,0.872041615786802,0.9022123310061049,0.7805327125387459,0.9073427049156778,0.8421282230007165,0.8679832316699186,0.8999398231828061,0.9357798599019053,0.9540264078659729,0.9524211368364428,0.9786418648453225,0.8849679704679618,0.841463962402984,0.8592946604129463,0.8810093715670066,0.8509043815539007,0.7878817600873292,0.8503052967637996,0.7885692239933138,0.8864603286321245,0.8481386198350599,1.0108314145111306,0.9241674853486844,0.9761883490066646,1.1208871460661989,1.1083002995180065,1.1112046586711284,1.3312078777632448,1.0895221087660707,1.1389944838325339,1.0345667852937481,1.0489937009613217,1.0580116680375928,1.2606939903716965,1.0692825286835719,1.0563322269104216,1.222010105646793,0.9745703534169068,0.9702130167314172,0.9134076343435142,0.9047957362051084,0.8549132430123076,0.7682234715890469,0.7613886263526813,0.8732457594308969,1.1160407903922107,1.037218897262463,0.7682203943101069,0.788557743061194,0.832732396604939,0.9035804277416796,0.9329460722356787,1.0231186762305313,1.0471107341798869,1.0915079273020216,1.1371676902119023,1.2165500699570757,1.3095898282768477,1.253631549737419,1.3550072800407225,1.3163911733211129,1.2112892068345105,1.1587884938265764,1.1626026613776095,1.155409013504131,1.1379411695382653,1.099172504025093,1.0603383820900039,1.0197070123451322,1.052476828366105,1.1279387671872148,1.1321771947180952,1.2013335137787438,1.1567782177330794,1.2482399769268453,1.2499107608376967,1.2162385891218925,1.2368576646927194,1.0467887158238633,2.0971836799457955,1.9007665301536667,1.7376877820422632,1.573430579577165,1.6293209488572247,1.6007265067027616,1.4735080966059042,1.3670480461476024,1.2608116022367692,1.0522266143281498,0.9813772318002304,0.9117563251460162,0.832179846284411,0.8205549737957174,0.7404316660366306,0.7410107780353667,0.7763973453316223,0.7579109045454324,0.7478268590914817,0.8392597971682195,0.8102730315195898,0.7489309202817371,0.7773014665475834,0.8315082948719323,0.8327239158610287,0.8305090102013839,0.9313596400113949,1.0024924316157484,1.0623444996226141,0.9505544048219373,0.9585624785838404,0.8770096822943526,0.8590903675166242,1.0198721265459263,1.2461717119011324,1.2803109814274782,1.4860978502683782,1.0144485132796794,0.9439927295332963,0.911089820443815,1.0210350206311423,1.0231572490528287,0.9663724054765763,1.0617442321432504,1.2214063814900826,1.0917824988563172,0.9905290619546172,1.3066287926387417,1.2949644417307464,1.1776619664588137,1.266063280597403,0.9443295280688512,0.9952037969221936,0.9378762841351284,0.8722008631828199,0.9442794216344785,0.8618846347252082,0.9201568128752228,0.8229842488586949,0.7726736639389982,0.7963350439636478,0.7668294501974214,0.7474436390202231,0.7548375686234972,0.7834549334051152,0.7587869889335781,0.799052851989032,0.8319295570395359,1.033520952658315,0.8508310025607853,0.8415113288039348,0.8224351046809792,0.8058245952097773,0.7812735923809714,0.8278722593942068,0.8306213681666912,0.8124208910553768,0.8543001341549707,0.9025550448515958,0.9392096555653868,0.8947761674124365,0.9886994979087733,1.2292191122896559,0.9885568168639856,1.0241882312772348,1.1868961203433182,1.2361893879540353,1.0926903780534336,0.943738252864658,1.3780296334969033,1.2577071356245118,1.0375013055628632,1.048326902794592,0.9371834923671221,0.9427441566408659,1.1991603895641545,0.8873908823183381,0.8860127183268369,0.7814198562653929,0.7443713343898783,0.7696951116959312,0.7865693013246153,0.841370779958529,0.7563571593931055,0.7401756076225559,0.7351402781618553,1.007765172733612,0.7450839948713376,0.698109092968988,0.6531316529945366,0.7587056629676949,0.6228714473460581,0.7839295824502531,0.9230334771443607,1.6404444242681921,1.7509522521139893,3.009005023279399],[0.661481386113501,0.6972321244502864,1.0070031885822026,0.5202335017579325,0.7030599632900882,0.6609011060987072,0.6882370496389785,0.7423212919484029,0.7064608824183776,0.7489726722868065,0.7459767179264113,0.788246404559084,0.8827628158542704,0.8160391783402099,0.9245529140722523,0.9625118110606377,0.9788930913353527,1.0486547366312706,1.1409818430068148,1.2816960205060206,1.4506178204646158,1.5054118257663678,1.694605044959958,1.7929985938041617,1.8806194754383738,1.486632252017687,1.359710371486718,1.1228475226164851,1.0837962942689596,1.0282275823206926,1.0693099529676384,1.0106255604151935,1.0217068538652507,1.0950448146603893,1.1270854912867794,1.1797496785941595,1.0966589329043333,1.2452050971850737,1.2648465391687107,1.1933755836797573,1.225766725952473,1.4062503803285848,1.4564266082522808,1.5728370250968338,2.115118316480399,2.4855914698203647,2.9058023804963518,1.9755020232826364,1.7071143736734262,2.357516305625038,2.0672312818284313,2.444511118107617,1.7485656359482478,1.638977555313514,2.01174222040694,1.564872094324108,1.5145909702413585,1.8719059788253198,1.3995334321086952,1.7486303747882674,1.4221265286489688,1.4326885628724757,1.4211209958617608,1.6272914591542622,1.5135646503676288,1.4000048947713097,1.5657443611016244,1.2314469468731042,1.1991142834518895,1.078829707283545,1.1968764041138371,1.554753626144232,1.175803359065134,1.3054694886991123,1.2206681358771108,1.720928861718838,1.2611763782166223,1.2447438386693708,1.2946668096783875,1.5263497043783725,1.2513160899296072,1.2368442577259626,1.4536822828863267,1.3695542080528527,1.307505064220202,1.1897167804372124,1.2518155128677573,1.2070834045576135,1.2851716353422016,1.212104218968929,1.1855902640171618,1.4297948025041034,1.2740395316833717,1.0844862757606948,1.0138289066334174,1.034326725861462,0.9862299115993607,0.9423095211122791,0.8822907266030529,0.8589799080007976,0.9657276457430161,0.9447241430654195,1.0754936938894766,0.9922085700861513,1.280874514030886,1.0695760706273676,1.0117852844636332,1.040319046034925,0.9059157778261259,0.9305083668636974,0.7909583984613868,0.9337933500574183,0.8572426066692014,0.8948896794299414,0.9448078796859752,0.9915251287612263,1.0335563051937244,1.0539737616840352,1.1026868232318912,0.9904644344087155,0.9321798990029924,0.9328734593271493,0.936789952972265,0.8825848020546357,0.8020053174390315,0.8620208932978783,0.7932442092341214,0.9013354309757338,0.8704854894717305,1.0559770096899295,0.9754518955470006,1.0558520045003053,1.2270472387716316,1.2009871729019124,1.1901171234388455,1.371419847016015,1.1263232409038555,1.1655525223676746,1.0440731930034577,1.115983944749856,1.1740284049371712,1.4468922751901425,1.2118699691256862,1.1648092893193402,1.3522011302970711,1.0824001760313806,1.0535950806350804,0.97659340409397,0.9560083407943685,0.8881062259453705,0.787313680795864,0.7732808623460995,0.8867238129685981,1.1213431122201576,1.0531376822204208,0.8002923051556449,0.8275040674345215,0.8784035117014195,0.9666160735201136,0.9916955625844903,1.1010633884073429,1.149981982513408,1.1939703691789003,1.271549582001438,1.3698350921432394,1.4430328595264839,1.4246709461271194,1.5503249591588422,1.4705800422468693,1.324769705438724,1.27142759936711,1.2482275430468135,1.2619457781522125,1.2528881427156189,1.2115094545519653,1.1598185868285313,1.1164283376167954,1.1516210256213628,1.254169012545329,1.2656617413019944,1.3453326965395236,1.254781893257406,1.3942637421849435,1.42656493779,1.3865134914767214,1.4595906224547386,1.232659142003001,2.3548753322377824,2.154154346940249,1.9649529132244716,1.798187660624801,1.7810175626154237,1.7559445643749645,1.617278432886684,1.5168590435495877,1.3994726400438537,1.1423444570901187,1.0501485183604622,0.9429033669252675,0.8554150236201472,0.8409007552377594,0.7369273705921805,0.7291706721931028,0.7598380255536439,0.7346917445439223,0.7118399324746973,0.7892196443981043,0.7724946653072553,0.7153244700200155,0.7421970726939128,0.7940886316650219,0.8044551815650447,0.8074000279676988,0.9247337745389471,0.9760634314775686,1.0206030243476485,0.9404527337318055,0.9502289658176158,0.8580330252208334,0.8440388396082177,1.045647225491627,1.2591650828156424,1.2801824843148037,1.4112704891233696,1.0151663475548647,0.9681316960787535,0.9465121302276558,1.0891379289477734,1.0824100036182107,1.0126514356948135,1.1173017539354722,1.2933556489747304,1.1432382852574334,1.0578780685449412,1.3977140663500922,1.4065439244863631,1.2356811172301783,1.3153100514051317,0.9933756964939692,1.0695932850336176,1.0047996124761516,0.8982896408810621,0.962164499284988,0.8719027784082324,0.91693126401489,0.8264944648917621,0.7574674016334996,0.768769757909253,0.7488402438158118,0.7162723468828874,0.7114015433941984,0.7393773490629721,0.7157065072374338,0.7638693637000583,0.7953863670168363,1.00666355786667,0.8202635212166187,0.8157461449379108,0.7920445493008993,0.7804470606471026,0.7615877272794511,0.8284617911715434,0.8189414098979981,0.7936219796279942,0.8489256912982047,0.9005372625494165,0.9337538743893763,0.8875289487871524,1.0055419954555356,1.2407607420138815,0.9735771708123329,1.0544909563260918,1.2404409564470948,1.2867855050291983,1.1133537408465346,0.9343101191589954,1.4663877344106435,1.2869299955171942,1.06803273136568,1.0226159331036848,0.8878672989693428,0.9024959067868054,1.149431251824387,0.8573186674920577,0.8649554640748729,0.7487687744051638,0.7292595732325575,0.7644019261124891,0.7834161495579678,0.8273685840449417,0.725549397953584,0.719593172351473,0.7091462912406922,0.9488582757593509,0.7105839749279115,0.6563229469391697,0.6067849503047763,0.7144754861292987,0.5764506718115004,0.7412972273873629,0.8859065266787182,1.6029305163580245,1.6990555052443106,2.922533822437863],[0.6973114287138968,0.7565552330889747,1.1374251069463976,0.6052594619108164,0.8392985058722915,0.7613908408658308,0.8521548563979846,0.9345178156005621,0.8699103171941381,0.932882498044189,0.932151889717298,0.9874266359588011,1.086487326820361,1.0083186666105002,1.1350046362317656,1.190522374905422,1.2172692574091564,1.2868630124460783,1.3688349100943689,1.5268309863388847,1.6912863580204096,1.7373660385697387,1.8930392506827842,1.9798678956042943,2.057668227549236,1.7198051038054911,1.6049247030922467,1.3656604517351125,1.3293694677129857,1.283540381123999,1.3050400405172873,1.2639308129485003,1.278485689281204,1.3495178757046684,1.3876100966075051,1.4367204567747835,1.3582182467008428,1.485761893553244,1.53574433121034,1.4524412281750838,1.426511543821781,1.6479190750868864,1.6925376431578762,1.7582603750520838,2.2963736009574762,2.615719861091812,3.0580935526144066,2.1756074112139085,1.8483732060245177,2.475470870323509,2.2204622175865554,2.6975146559866223,1.9887243097874445,1.8065555935033555,2.0268775556419105,1.7254403813843604,1.7083937540825815,2.094446397610051,1.5919460372030079,1.7797192568300109,1.6109267709633022,1.6416918141219907,1.6358080734032698,1.8621862700659302,1.71816755719859,1.6454405017008165,1.8008577260026266,1.473253945312206,1.3993836380416016,1.2672536238253924,1.3577453055586646,1.6931405650094717,1.3497171939089074,1.4646858771981934,1.4399300197412603,1.9117171017264996,1.4952383927590818,1.4868817718750882,1.546534985244133,1.7894102052335952,1.524947390070039,1.4951877103419613,1.7087226122609862,1.617775427891415,1.5692892401403695,1.4626145478598307,1.5161986261461162,1.4794399375305367,1.5400501198155843,1.4595449723636966,1.4292394644188644,1.6411646191753986,1.49293995020959,1.3191302127681606,1.241881396604977,1.253081801340319,1.1995380449250033,1.1757213172918854,1.1148001356748445,1.0837445609427179,1.2224768394339132,1.1846971782116928,1.3311751989849818,1.2409996935322771,1.5381608470110855,1.3113563559243484,1.254169165245945,1.2499518865516561,1.103176448231012,1.1298257239354903,0.9846124443941006,1.1464099579562095,1.0608052338852902,1.1186102707235939,1.158020176603349,1.1970811469557576,1.247121188595441,1.2804716627207344,1.3045389844251978,1.1987983320709652,1.1272762278284145,1.1212054894671883,1.1118579270356774,1.0552125832436066,0.9786222732827718,1.063762708776546,0.9623056754121193,1.1004995503014625,1.0690100832165275,1.2783232054998162,1.1838823842966157,1.2819731683492381,1.4581017276756825,1.4484362917171973,1.4208527775945068,1.5559449388163271,1.2936283964624358,1.3623063467783108,1.2481015347454165,1.3440467100132034,1.418932604202752,1.6566364461365775,1.458624895875954,1.4129719816140942,1.608132848763266,1.3309352261584222,1.2992745587895322,1.2187247496532905,1.1906790072518374,1.102678623019978,1.0040955144194337,0.9847715278534287,1.0672979175723498,1.2154326210661615,1.2101942661185872,1.018197628812691,1.053727359954916,1.1106045582896424,1.2098074760318156,1.2243587687005568,1.3518372229948723,1.4050218539702821,1.4496042138154817,1.5392826700274271,1.6225739453442323,1.684544258414417,1.6537332219928262,1.740621980649503,1.6384094742982218,1.5278009308101501,1.4846487742003283,1.475998025944577,1.5103469859146377,1.5208987998608718,1.4820316983034911,1.4333398324226794,1.3696567771930397,1.4245553786046345,1.5291442985628503,1.537997242705705,1.6273498859360485,1.524713274488355,1.6668742171243554,1.6955247632163635,1.6652589762985346,1.7355958206521818,1.4908386005943939,2.626196519205254,2.3881286935112187,2.1731681473337026,1.980816868940551,2.0739502259483626,1.987057129280855,1.8230283161531882,1.6916890501578832,1.5580828802926414,1.3079558579994328,1.2253054739266553,1.0959748252753791,1.0205349038757345,0.9891678332216077,0.9092656104433838,0.8986958992488516,0.8903667687980863,0.8672771941084306,0.8448455101488342,0.8933930701128723,0.8630996960687408,0.8141300329521163,0.8184252487936405,0.842266232428151,0.8445049221740734,0.8538984714305401,0.9362878276362383,0.9993565281171723,1.0662674872381896,0.9428261156035778,0.9544985809799508,0.8882898302013834,0.8703181437483,1.054711104771897,1.2627009631452808,1.3079955850749225,1.503498508718321,1.115448228664822,1.0914748164145511,1.071221908223081,1.1994534499186078,1.1901002542246124,1.13284514627018,1.2302734714303596,1.4077220851082302,1.2457483285891104,1.1734902517178298,1.5311103992490387,1.4709093206777524,1.3256081298459823,1.4281176506671762,1.1065698685269154,1.2270622354416196,1.154863357389843,1.0467408486483754,1.1221321727350475,1.0166733302544615,1.0948288758064235,0.9845065423838776,0.8974784659823041,0.9475401587217291,0.9193058077820399,0.8792511876893432,0.8602801178868146,0.8633136131215291,0.8318378539810063,0.8756539034915555,0.8815973793805756,1.0612424693201858,0.8871768782614666,0.8770827559694973,0.863774838348723,0.8767810498508725,0.8855460576444,0.9404343981336888,0.898171763421546,0.8851246536273804,0.9632211259462624,0.9861348498760569,1.0028098486858825,0.9877505666522045,1.1012039441404837,1.30045834054173,1.0457722394258233,1.1256676663224439,1.2926443830037748,1.3037201880292015,1.1355613261124842,0.9552847596690813,1.4358268262955163,1.2565840870867973,1.0478142774561963,1.0362539276620841,0.9375286856506919,0.9521470040387204,1.1970735215829076,0.9014857197636664,0.8956197671106411,0.8221140316122469,0.8010608406918225,0.8749458796021503,0.9425686954776987,1.0021047423009317,0.8792446023509976,0.8951408228899733,0.8769433990210059,1.1479079526210645,0.885516313714571,0.7974547818690427,0.7708221960486104,0.8786512301642414,0.7124865534768905,0.8664822420691369,1.0274730112200914,1.737565028094011,1.8592252768304698,3.193979431969676],[0.9244792196515665,1.001127934355024,1.414730107901281,0.8851268803257724,1.1202684011980133,1.01591968917463,1.0745533995298853,1.1318582839693396,1.008068971671472,1.0134881614769233,0.9765238835613026,1.0495518388519522,1.1382873067019483,1.0066697422759425,1.0956694953979915,1.1690691052145779,1.1785557557980657,1.1805008197166398,1.1946769816330862,1.3776478415132667,1.4808560219208504,1.5331707172891715,1.677738903425584,1.7672460046663583,1.9119576242531822,1.5245675010353554,1.4854631608404356,1.290204731606625,1.2685130976120276,1.269573000662353,1.2197163178768102,1.2527533024344475,1.240681411879473,1.2714726724237684,1.3264842662679288,1.354049429109412,1.3392753582817558,1.4285619044011844,1.4838338470986068,1.3922184023464659,1.3635083074519678,1.5178750791427298,1.5445223263261865,1.6245326168949974,2.1067499763815,2.4746250973653274,2.8340070637035852,1.9772301762803686,1.7721522685470037,2.341869003367414,2.0495280988515647,2.615374687022136,1.8566870503958066,1.7614474843819878,2.023781604410677,1.6001696940491323,1.5656523243184657,1.9611573512908065,1.4477480469523423,1.7280070186032352,1.4490551906383722,1.4477088445620998,1.4632177496837155,1.6027694338864102,1.5086568813428376,1.4582030876755943,1.5742938441702583,1.2941431131749908,1.1985130589401,1.1243729939606861,1.210898770112203,1.5642318511764668,1.1829144993665928,1.2890150928780457,1.270437834317916,1.7183737152954763,1.3202862770246653,1.3242539733841485,1.407578305580669,1.6418086193109056,1.4356798903836165,1.427811964888492,1.683519585331205,1.6056755112646197,1.5611886718999375,1.4486967431450397,1.436805341263252,1.4326218048764452,1.4207606600831892,1.3549607837048463,1.295049711218514,1.464746901334382,1.355551701650676,1.2345142130139974,1.1796106033132043,1.1933255543200458,1.1599517282232,1.1658741967484854,1.15734816323922,1.1636026395927184,1.269471212178497,1.31949890692781,1.4099023506606854,1.3792045244081033,1.6671047451128753,1.4955086701921712,1.4572046054785257,1.4477877201570906,1.346708488704125,1.360688976460106,1.2398104799856122,1.3534284204805775,1.2451422290342917,1.277956656918029,1.2335132969214269,1.2496025458332929,1.2221181004923178,1.2102243345925037,1.1316788173038468,1.0853644779689535,1.0150819359047807,1.070193787983676,1.102890647832645,1.1268262833475378,1.1122325323151663,1.257126126717242,1.2069139655284744,1.334440419190969,1.316513964832236,1.4772272705146199,1.407138054849409,1.4879677334080716,1.6158252767677856,1.605755985745444,1.5852017148060442,1.701815397148544,1.4895626896411078,1.532563821486326,1.3962756940922285,1.4474941193466038,1.4437926123923577,1.5925951709385957,1.3760632492241023,1.4101512003650318,1.572150256271625,1.3327589128122763,1.3425932662076727,1.298248879678595,1.3215327350424595,1.2448902518134322,1.2090479636218376,1.1468594327055268,1.2344160518535137,1.2787732290407792,1.2633087180767033,1.143663386018763,1.16363834246745,1.267438366861742,1.3017711142944874,1.3687583787745303,1.4702308574761342,1.4531724159087567,1.5147649825961003,1.5585037069649543,1.6617448406393411,1.7332410618765022,1.7140712709901436,1.7563482149730563,1.7226832358496271,1.6536225351306904,1.6250267069696969,1.604220917931731,1.6053184457039187,1.6078231618175822,1.5518041105285771,1.5248619775606298,1.4255228863755096,1.4876661717835409,1.5730317163816716,1.6078957288452882,1.6877900101431171,1.6498133882456019,1.757696356415084,1.760314329561555,1.728940355533689,1.713657846116751,1.4523844615257113,2.495628400342334,2.2538682400542194,2.0853636490899703,1.9123283297001183,2.0809530544762587,2.0191804908003532,1.9002812631299828,1.7957870830005782,1.685049927783966,1.4876535538605926,1.4418701586502016,1.3397794131882022,1.2850747549032917,1.2678621805990404,1.2076269954110355,1.2041375004039212,1.1957185894808624,1.182648857744261,1.1632291656934242,1.1860035662511406,1.1558639428881705,1.1226881446409827,1.1081745028667433,1.1126648006192206,1.105787173175761,1.1092694288052063,1.1446960416642509,1.2119581448753272,1.2780314884224715,1.1475321915902321,1.1421357680009394,1.121735145775112,1.0990034750489646,1.2517110322659497,1.421275193496654,1.5008913304848228,1.7138823881756822,1.3514130699664966,1.3508685631367585,1.3256384779001422,1.4041842848184176,1.4086540760177624,1.365495864033271,1.4282472543920626,1.5704312158096059,1.413824776948099,1.3731138114100034,1.715203930569199,1.5908609340008169,1.4750412455416437,1.5953619338550618,1.3331011854732588,1.4627066170121492,1.3928879693241827,1.3248134723439011,1.3876357659539473,1.300481441301849,1.3704791403443641,1.2670050480800459,1.1903730606319762,1.2413830094852834,1.2047505500015596,1.1954865467150442,1.1766009590500843,1.164444632258274,1.1362022878492157,1.1786215556211646,1.1631545099530531,1.3033453919901508,1.1714245148943232,1.1602271357864264,1.1553964796381544,1.1785898237355665,1.192992616743471,1.2243085286350404,1.1674495088210703,1.1682735478028892,1.2434250492318342,1.2406589421025203,1.247379249473453,1.2482692340873116,1.3320210858218886,1.481084111273722,1.279694734595742,1.3388222710424729,1.4515704749336598,1.4579620537095597,1.318605327436779,1.1623684472204263,1.5404503443896629,1.336567818151299,1.1603185495170827,1.2112928408753874,1.1836452911055653,1.2052830523353177,1.4056841658755705,1.1512844193191993,1.115948859205406,1.0767892325218156,1.0867616098410293,1.1606458448040082,1.2260069706956838,1.2790144665248013,1.189596061470862,1.1889918625765412,1.1780714524621867,1.3887169528501577,1.1710040231348815,1.103850252982203,1.0787147283746603,1.1404515965552546,1.005785634056622,1.1445677421179838,1.2628998455834892,1.8861569144876673,2.048864181547686,3.40067455556155],[0.7703619869070337,0.8453082970268515,1.263528494041496,0.6441713168110175,0.8764763964204324,0.7814112570229195,0.8104102991693597,0.8805877956268374,0.7938706765029008,0.8068345557472729,0.7870389306154753,0.8359537981072008,0.9280774912807411,0.8197265339440335,0.9272419782644634,0.9725411278265295,0.9621972373314481,1.004883990887085,1.073665999083676,1.2196655146728208,1.3483000419080224,1.4121531816017707,1.6173963294975702,1.7202285130441508,1.8067141930191382,1.3671124037029692,1.3012051649056549,1.0809131842921562,1.0709872200802766,1.0496461159605883,1.0424957943833415,1.0465509121090033,1.049010588856845,1.092242290246005,1.1396795509899713,1.163839968161534,1.132645270759671,1.2561068059542697,1.266975521560197,1.2111206619506256,1.2192698431872147,1.370479143974766,1.4124405358822696,1.5461156564590153,2.043522416826595,2.417943149942443,2.84204194801168,1.9254635252690875,1.6709003912766087,2.3346963591328023,2.080849586244049,2.3433540653387426,1.7203999861879002,1.6355482069248153,2.064910949530768,1.5849310563955186,1.5279800431933535,1.8762249856938877,1.4026506685653817,1.8224464153791078,1.386344142420542,1.3876249556734515,1.3872817795949666,1.4687393958133,1.4340184719655968,1.3187595940910963,1.4457185136038717,1.157143251269017,1.0992467427064103,1.0223641611751022,1.1461714938653795,1.5255094999627168,1.114352280681314,1.2258255741103785,1.141942383964104,1.6192858502380583,1.1978232996734992,1.1936588587440782,1.26353467160034,1.4985259943041798,1.2602203886581316,1.2751971124155874,1.4743542827418652,1.4379792070793211,1.364976246766734,1.244056795773334,1.2597230371155346,1.2305299729576862,1.2547332108573623,1.1934392677841505,1.1468965375077569,1.3472396382998633,1.2200943723369628,1.0697686660804244,1.0072681300093227,1.01909672993996,0.9903209500265069,0.977288131480673,0.9535793317459647,0.9425461251185399,1.0530650179626146,1.0897195521208451,1.1990820207867314,1.1619312325770246,1.4588067730759195,1.2601075820691239,1.2463178849905503,1.2678958774403106,1.1339275401609452,1.1323853605173717,0.9931364848884235,1.0909516442500147,0.9876144046503526,1.0022058448640128,0.9880415762187323,1.0037805979856191,0.9970542590537705,0.9716094109879797,1.0097849051779533,0.9252809915533792,0.8485578156730643,0.8773413317906386,0.8850254397992734,0.8954600116256827,0.8624333309692972,0.984231372401331,0.960408508398512,1.0674244159577098,1.071182187214882,1.2399116775512857,1.1949404256556637,1.2915651479505212,1.4356848696489632,1.3961332154915882,1.3643563130915985,1.494732844663624,1.2906992272101638,1.2800319894225252,1.0914654614129604,1.1673056161091822,1.1259684345210694,1.4034634980279066,1.1477757823164827,1.144283163710183,1.3329064361425862,1.096638361865377,1.0826762100195564,1.0492570728680588,1.0645064290881512,0.9962521053157598,0.9469507506337083,0.8981042927935263,1.0249026137764474,1.1016566152465885,1.0785228060394685,0.9352511505532025,0.9505333927811497,1.0322833751603901,1.0784533890240255,1.1418236554999213,1.2289648425779076,1.2118383913093043,1.255371329147,1.330524816746573,1.4635334683662409,1.5289985737883107,1.558061651538061,1.6681339490997005,1.6169373502693734,1.4636735973170683,1.4276357431399016,1.3638596048247997,1.374889174390951,1.3712508865218407,1.318899905106833,1.2874119775759982,1.2032334047530593,1.2560178318393864,1.3539447056203255,1.3971791672585556,1.4700566267551116,1.4228183081159878,1.5742941354570865,1.6015379676830646,1.5381684862196636,1.5657331642695231,1.2951084649603621,2.426568841338524,2.197520974047991,2.0328046386164518,1.871473897604798,1.8856195042830315,1.8852620221261172,1.770720978322799,1.6769978480628562,1.5653080646902315,1.3390195753368244,1.2682047147586595,1.1645351721778694,1.0831279490566623,1.080388637007518,0.9962087726728044,0.977712386853492,0.9973934042368215,0.978485152868399,0.9537165569696245,0.9971814979591649,0.9775346829962779,0.9342234144550142,0.930713620752623,0.94881850932338,0.9498505698920323,0.9418142651321845,1.0071411780380923,1.0770796391566542,1.1641880956126942,1.0135094162479985,1.0449972394430096,1.001080934070597,0.9854132156993267,1.1481229527279861,1.318777352222187,1.3883136258800823,1.5519347351740695,1.2330733806478495,1.2077549484110424,1.1754702960060244,1.282387619658705,1.2959698658781853,1.2424980456411419,1.300929271592613,1.4719831838611268,1.3230985430448179,1.255093603559542,1.609166550789706,1.5360651207930414,1.3894422257637191,1.4716001451131093,1.1909367646791917,1.292788820384378,1.2293360014151005,1.1389597593365821,1.1870121147486836,1.0883230012578033,1.1343254100135585,1.0526660922125344,1.0011734854125791,1.0179223552608414,0.9952946309147086,0.9867429341473567,0.9561793276488276,0.9485343006444514,0.930197494722272,0.9935023809753558,0.9768362122916837,1.1424432786835266,0.9920750587462085,0.9872459297093654,0.9916958193172003,1.0064536880106776,1.0087247837259958,1.0651583282984725,1.0339903194970654,1.017201078274773,1.0768442808441974,1.1135795036946614,1.1270534490256994,1.1072292737545044,1.22301014503628,1.40808697938349,1.1560394832138554,1.2271263233720724,1.3810643026441445,1.396035935800277,1.21995346818384,1.0422769790634767,1.4899132609293062,1.2850039492165972,1.133883182526785,1.1366265861074538,1.0449413310008324,1.0685458199374218,1.3269773395104159,1.042742892737331,1.0052493667801943,0.9484538415849839,0.9179791999377199,0.9955276565702282,1.014739319187589,1.0479218708103308,0.9671518154622758,0.9438954754134541,0.9496957782387345,1.1112425386149858,0.9230430379374558,0.8750566073802183,0.8242843035384738,0.8738260289111839,0.7504438739756443,0.9428504496699857,1.0443513127080757,1.679897985329225,1.8297260274032892,3.09324045548669],[0.7093873205155843,0.7659554584651509,1.1514255165290548,0.5710299857149987,0.7991611390271937,0.7163865022380893,0.7556532386806742,0.8314903288909058,0.7494231804061453,0.7858931597981078,0.7786418652889424,0.8271291071448734,0.9361995950071567,0.8354762766372831,0.9684812400299445,1.0168907766692228,1.0237537785676034,1.0990658737225472,1.1894500530683219,1.358897525845533,1.5257943396508125,1.5882188797850325,1.8083577985377068,1.9070534587165826,1.9460116523944782,1.530026808296672,1.4287747630612813,1.1740451568479031,1.1541720329387728,1.1114971870170107,1.1206578337305118,1.1001690157261037,1.1130408590410672,1.1815662499077082,1.227682859636448,1.264674209305406,1.2116240095331852,1.3583062296231616,1.381933846450864,1.3455359846197679,1.3313573304392854,1.5196121481134028,1.5804591242034773,1.7006244445326215,2.227375734535759,2.558851731173666,3.068808729299084,2.140526080833933,1.7978999317881448,2.4913341133755713,2.2981012579682583,2.462821392844877,1.915874031051253,1.74143039168241,2.1249100381448915,1.7505832458244064,1.699186282467233,2.0359671120782146,1.5631210140978313,1.896501145892495,1.5487080460275897,1.5537459424871427,1.5317300201825108,1.6797405185616734,1.606093664142145,1.4867713596704952,1.629830288209296,1.303567675815878,1.2179636316202052,1.1158163702952122,1.2283197293081516,1.6062247890982337,1.2106372681382418,1.3406241269672297,1.2671837570842324,1.7424667139264196,1.3470733143591174,1.3342869944610285,1.405763088779051,1.6633520235562906,1.3907585942226106,1.4116313483526226,1.5553750254888337,1.5577226472058654,1.4724165711879682,1.3425239141256347,1.3856206639713802,1.3403159575300128,1.3845731942251354,1.305640743517046,1.2598955151832332,1.455955733286986,1.31145416258065,1.144838067373234,1.0677949128160853,1.074322084278376,1.030520660781563,1.0154791310729807,0.9668426343130603,0.9358212077407143,1.0714565903962712,1.084706289252581,1.2258108147167575,1.1632518822954176,1.4825520760450848,1.2586546817551745,1.248989702868659,1.281040493954231,1.1099035846179828,1.1083752821240276,0.950585029895569,1.069637477607294,0.9567387498893621,0.9910668218604615,0.9944338617956989,1.023110803537109,1.0531464023947303,1.0542753868690191,1.1007578753810883,1.004853555216995,0.9203721605261782,0.9211464414376185,0.9171562493436353,0.8967219104745444,0.8332163125621788,0.9535829632526804,0.9057896968094655,1.0304035058198602,1.0420141928702162,1.2377139108901825,1.1863126395380927,1.3067997144986836,1.4711991620774687,1.4302616958357213,1.3830140386840442,1.4943993316390638,1.272348965470765,1.2609898240731316,1.0811194011092262,1.1979394232797975,1.2022499009965362,1.5199919160321058,1.267194151337393,1.2237877456027104,1.4304693159370339,1.1687162923101877,1.1295252388125834,1.0719920609473403,1.0698779687370827,0.9751843844369001,0.9118342235700626,0.8606471504675562,0.9923807315308653,1.0933305714900805,1.0728912497761796,0.9133212670128487,0.9390731679443489,1.0158033793909618,1.089173622248212,1.14118465443132,1.248979336269998,1.2708293833253625,1.3136346069914349,1.4222591894300751,1.556920255018869,1.6003252288655463,1.6415950523798988,1.773322969221066,1.6812384207018138,1.492446078380773,1.4589369765764777,1.3903969139454415,1.4288449735938265,1.4307686960409445,1.381442997140138,1.3346643669554556,1.2489327027058752,1.3138764245818866,1.4298005572630457,1.4706731057871638,1.5546584555320162,1.4596536442818004,1.6477238625068427,1.7016018006371705,1.632612123502371,1.7212092116410118,1.4376713720985572,2.6299687280412507,2.4083713890290652,2.2223388115011486,2.054748764641217,2.0039524670742943,1.9804730586529427,1.8350532167892193,1.7453732077295956,1.638630973891108,1.3740129213546646,1.289572042784345,1.155833197142638,1.0634708894626055,1.0587427093460176,0.9563733737934005,0.9274284053428965,0.9472959264034934,0.9255609189681335,0.8796416491958451,0.911137080002809,0.9106618828543215,0.8590693106667721,0.8498169108182873,0.8828387691036443,0.890267362792162,0.875062817597454,0.9736922295982819,1.0452908163195345,1.119834062740871,0.996160569719888,1.0224327178993176,0.9614879409454097,0.955029670539092,1.1425664427792324,1.3253998915228187,1.3629270949204175,1.5090223383246182,1.2084567510652187,1.1999017092508957,1.1754228878346589,1.3179937916462574,1.3129060672633819,1.249666316901677,1.323604473955353,1.5034628769089247,1.3441319038880528,1.2803426825751436,1.6480260289342483,1.606638319818767,1.4110181267725956,1.4907299142853252,1.2018417205210146,1.3149533333683208,1.2529082954101953,1.132790764657556,1.183494688171921,1.082364945096,1.1189376448697386,1.0381086682640324,0.9756999450291484,0.9794137823470677,0.9557352060257062,0.9319312304203701,0.8916535863419427,0.8770028641365257,0.8525144695205057,0.9192929974058349,0.8968038936090521,1.0682485970486848,0.9177855315683386,0.9176445482354917,0.9247584813826428,0.9400954151651149,0.9538431542622017,1.0260474445527992,0.9818406387866798,0.9580540017149104,1.0391145554986303,1.0780877757423115,1.0787038045947182,1.0648350824535553,1.1956827305842572,1.3663504304222764,1.1029680619577062,1.2130259476435983,1.3819972360776065,1.3977597467701264,1.2156394149565588,1.0325380004202853,1.563986357060882,1.30302047439967,1.1400594952925978,1.0894119520108136,0.9783693665809694,0.995213769815627,1.2529519724512308,0.9780159210269453,0.9552447999745595,0.8868089375948385,0.8798419284205233,0.9386629976942411,0.9710150813277432,0.9884525948659888,0.8862424862989259,0.8802024244520633,0.8781283937774804,1.0442711327505325,0.8495850767102459,0.788025335151367,0.7383798296108975,0.8135245371753478,0.666910402032554,0.8494406370504397,0.9475513093559238,1.620255906809687,1.7535962272643333,3.0070962745183967],[0.7318489079257277,0.761656318551917,1.0916294154454311,0.5312115218992276,0.7152277376541175,0.6558548756883312,0.6545114792792363,0.7122824854648689,0.6441275823455815,0.662037522257559,0.6567743111052521,0.7033784899485266,0.7971129861005235,0.7130999535793723,0.8251624249726102,0.8658754544989451,0.8711257141397547,0.9355020031110658,1.0408553002346261,1.1620000816991443,1.3290199412599095,1.397600280439484,1.6220951761314268,1.7418586904864968,1.7870110029461195,1.336951358954632,1.234444556648324,0.9911283497247818,0.9718146752474534,0.9243824468296908,0.9545536169132862,0.916752786501706,0.9268532371681013,0.995072208498041,1.0270155871499262,1.0653243058277722,1.0087909830194275,1.1594278077277829,1.1646343789253866,1.128666462454305,1.1785144231147016,1.3268493806272461,1.387785243723468,1.5418197467224026,2.048278707584444,2.417313415021808,2.8758861355172907,1.9264145809187483,1.6535556244790397,2.3332129100032253,2.0975659352259193,2.2199695873482224,1.7042908394106289,1.636298812066555,2.139842218229183,1.637932860592238,1.5471675344396927,1.8122853441576532,1.4189675490482263,1.9238970253522278,1.3997822920101726,1.375531858298607,1.3541078916943705,1.4748876903215211,1.4306711850744889,1.286377414038567,1.4351252492656335,1.1138587315312405,1.0787420341839786,0.9877817105039248,1.12272712250967,1.4965316718608934,1.083440433634067,1.2252793730682376,1.1086759148842504,1.590740668170212,1.1518890366540464,1.135503325004469,1.1903238151679327,1.4223486374142291,1.1682187834070055,1.1970606817539038,1.3421429206671287,1.323970237247407,1.2488331006372906,1.1245688603476571,1.1669264543652138,1.1313772674541034,1.1755465700739274,1.1091308023915574,1.070966400894608,1.2972453843107403,1.1583271829935997,0.9832210636050797,0.9133475270461897,0.9280337909857781,0.8873876203231047,0.846893973210853,0.809161554717551,0.7960346994783659,0.8988829429653244,0.9282055990017813,1.0323124729631592,0.9792083214805877,1.272248018505996,1.0791831704746075,1.0636666731222704,1.1115442372936315,0.958702856430822,0.958087396512719,0.8227137445527262,0.9165269943759813,0.8212278892509295,0.8370254976306768,0.8541451217337749,0.8824013154467245,0.9073778678058199,0.8984000358972782,0.9771691650176175,0.8686621748677086,0.8026656575675607,0.8162694714061325,0.8253835687173121,0.8020649408119032,0.7281180017855796,0.8135522833998293,0.7985754699043868,0.892297405423014,0.9021107344603878,1.06820893713629,1.0293479182300524,1.1303875272933985,1.2824293856244249,1.2300732600950024,1.1989381654765334,1.35338893399709,1.1482748243706462,1.1138576609186972,0.929262133356131,1.0198278392920448,1.0226392896282053,1.3379661082012546,1.0731995560552143,1.037347357863243,1.225153031623019,0.9828940858907315,0.9495172099689626,0.8962939479873401,0.9005331011033467,0.8385792724036887,0.7690206145678999,0.7355531817090937,0.8799897412585581,1.054974782498461,0.9893920817121921,0.7684892620096062,0.7902437763703585,0.8617214503267407,0.9145548858074202,0.9668523883701559,1.0574937542967864,1.068653806625558,1.1127922127380487,1.1989611574406123,1.3325700305084083,1.3812269774289083,1.4238219407605723,1.5765942286149686,1.513436526500949,1.3120372791225285,1.2768054871584038,1.2074413486704219,1.2274734767855056,1.2128239090959159,1.1653153230122755,1.1262283700758098,1.0556756709723087,1.1028018826679689,1.2153035476394618,1.2580085587341336,1.3131200412659494,1.2393018357841068,1.4041678281491212,1.452749187984895,1.3768037739146322,1.4455258467644092,1.1937868657409199,2.3371842269051966,2.156029171912946,2.011360104631601,1.861484271698539,1.7164821219715523,1.7494013813938578,1.6180805913513314,1.5618796542877498,1.4868585555291562,1.2414283084622353,1.1548442258671574,1.0409978008794565,0.9451216097414666,0.9535601145706795,0.8443315341761247,0.8216250842169748,0.8615643470758337,0.8437976569263558,0.8004407410417966,0.8464539713639844,0.8602284094774352,0.8062096380474677,0.8158230900770701,0.8686997365290254,0.8818406513421987,0.862348064208933,0.9873825058299873,1.0586734499873203,1.1205954158865576,1.0137290422669536,1.0280663930435756,0.9474203493904652,0.9440203851484539,1.1304473342457901,1.3430513112251878,1.3366981574122776,1.4565633521025685,1.1413477999739663,1.1166004971930854,1.0830141765792949,1.2281790866336348,1.238733754531026,1.1672521382100172,1.2236924270033076,1.4024222781584963,1.253892995910978,1.1805115155989394,1.5603116885666761,1.542083705124662,1.3332748038650004,1.406740619592414,1.1091379054195707,1.1958308709442131,1.1277953952246695,1.0195985205101206,1.056680568457539,0.9916383786060115,1.0061540937020035,0.9350335709100174,0.8948584597304581,0.8691150635275938,0.8500599125332532,0.8332394122287918,0.801544205966933,0.7924206229825176,0.7808972406009467,0.8531381680153561,0.843161104621971,1.0313820588031972,0.8870610848620518,0.8921016304526261,0.8900976495696539,0.8889671448727016,0.8787495325203526,0.9462058870767764,0.9363519558875274,0.9045043025669778,0.9697861068453512,1.0249564748674855,1.0325505961052646,0.9934863146366926,1.12747404094738,1.3223606625945932,1.0568520354532551,1.1560057569077224,1.3405463844580905,1.37575058504606,1.2003767427179146,1.0242990201128437,1.578861321473458,1.3096550174419372,1.1508002292205013,1.0869011569807612,0.9583815969069166,0.9746248286142253,1.2355036652535836,0.9530909963172799,0.9343647027758738,0.8220760436915922,0.8237686527425487,0.8555815090088745,0.8646469441923539,0.8700774864564027,0.799608268563897,0.7814314460256679,0.782101417961155,0.9227213207421201,0.7573881681061033,0.7187818452982265,0.6618503897627184,0.7398931765756507,0.6137780249966666,0.7991040776526366,0.8585111287285282,1.5213067455581484,1.6400319506626753,2.814996673243571],[0.6826174022764665,0.6709692094357785,0.8973541601873668,0.4717836992242856,0.5900790337563454,0.5669347141857634,0.5449995028777818,0.5879386929334677,0.5753656795740466,0.6085096428596295,0.6103611825073488,0.6393666949874024,0.7374712576322359,0.6873408219859581,0.7958653417178926,0.8201242202157607,0.8397133477553023,0.9224320934628496,1.0419326561556774,1.1510112995838198,1.3414080843747944,1.4023075911057468,1.638538244866561,1.7481626678758893,1.8010495375162163,1.3668119746732343,1.2229866268290126,0.9688499783240295,0.9342471096863325,0.8641820871872055,0.9331089657970582,0.8524301655043481,0.8711680287612183,0.9499239890428031,0.971645523343517,1.0254177022738529,0.9383793850878847,1.1134925395772455,1.1133433547853266,1.075218625270351,1.1442233729630964,1.2989579636075168,1.363085678716203,1.5179675629731662,2.0565846932659073,2.4239736418266515,2.888195372655087,1.9221203630641568,1.6415505588199586,2.3223501428169926,2.0679694272018225,2.2223008411876775,1.6805147925444015,1.6058862097687903,2.1043622489071994,1.5919258146500515,1.5039123336409859,1.7746909302766194,1.3753264627234225,1.8599615763307145,1.3813964933885454,1.3629177259703398,1.3368030962739261,1.5111494876416223,1.432837804472662,1.288810782886092,1.466039526269247,1.118943698522802,1.1123248120649099,1.00402349108607,1.1393736467768403,1.5184865296846801,1.1218859443518039,1.2389845641854687,1.1143823429368582,1.639030245775736,1.1496635350980424,1.1224868275948665,1.164068778388133,1.3946131534232769,1.105686939896873,1.1293351532527223,1.278204095013518,1.2374113756492369,1.1669525842882282,1.0433590926778846,1.1127469687655231,1.0666334026620676,1.137886900260165,1.075269776555048,1.0520752834558522,1.315197360420081,1.1476313327345826,0.949989096530922,0.8801345898605274,0.9114365033903575,0.8604361727530627,0.8040098138462672,0.7455893830445228,0.7116906761038321,0.7990194723886224,0.7878428067973938,0.9078824695264885,0.833565163361497,1.1297721268817593,0.9280224877368164,0.8964641973042156,0.9654541315957219,0.7990554806505051,0.8133194846788767,0.6735311085928913,0.7865396144838702,0.6969329399389955,0.7300327912618967,0.7873691510383239,0.8296064764253002,0.8829744609749053,0.8997072662018532,1.0014613953547729,0.8710446184805071,0.8155439736324847,0.8073343818308977,0.8149873228279682,0.7500803666094609,0.6529271756041363,0.7073800930788494,0.6721565443106227,0.7565530973195084,0.7564522675612857,0.918507424554744,0.8784959375400234,0.9675562783787752,1.1398023357336926,1.0779680715815358,1.0660281517111225,1.2388145531879815,1.0092435030765656,1.002869364133474,0.858940585968912,0.9442037159985014,0.9997174998364242,1.3264077558597014,1.0543674405372032,0.9972591550927373,1.1856206177559736,0.9211715242909513,0.8836290929159325,0.8092594578118772,0.7895697377062865,0.7304063305012088,0.6345265966609628,0.6158371924503411,0.7588668131409045,1.0345214227911104,0.9267403067723409,0.6520216583107685,0.6779457035607875,0.7204942700494325,0.8032745367761387,0.8309680119388749,0.9407599308387878,0.9793849569684047,1.029113682132409,1.1179196708894321,1.2452660913418834,1.3026557310481726,1.3258608154191338,1.5057679896796639,1.4178359403499219,1.2093368088443466,1.1554377077273223,1.0967192733663977,1.1168482290225457,1.096704840647995,1.0531459890368888,0.9993212166377544,0.9491931701069283,0.9889998985518574,1.1101657504338047,1.1312812248900255,1.1969852932785139,1.091933765804179,1.2574926377335127,1.3230067167777726,1.2566754243000968,1.3555994528666904,1.135457543269977,2.2791886748510497,2.1140338066454762,1.9773413361067593,1.8250062275180274,1.639183854775041,1.6652575581110352,1.5212934905976128,1.4763171538188686,1.3947150607877725,1.1418350227705758,1.0350267710517305,0.8970536820338666,0.795034076470875,0.801419626553052,0.6753378245739853,0.6581097151948456,0.7101760389342627,0.6910720150636559,0.6364554571619052,0.702553843339805,0.7307116006466576,0.6719147168925896,0.6893932846899693,0.7721433806187068,0.7979376259448633,0.7824431571083134,0.9528608307103787,1.0185448997608904,1.0340177113457694,1.005214041913547,1.0004983059601422,0.8855821961862573,0.8957195602621856,1.1185908873305683,1.362284014312391,1.3125555728680651,1.37904827928331,1.0227775895426865,0.9775905098789601,0.935939265137849,1.1163344546984912,1.1358979252048929,1.0253775618983931,1.1119740158639901,1.3043218089898634,1.1572250515252662,1.0706391517209786,1.4372795495829975,1.4907619472510198,1.2487866202392868,1.3085372245171152,0.9909858320760965,1.0585674957862115,0.986253049579328,0.866756448383301,0.9133060044352084,0.8635729175578396,0.8651280236370212,0.7999697584200778,0.7649013163306341,0.7143818457232172,0.696036855619828,0.6640001972136661,0.64221088788814,0.657030321067736,0.6441369700852713,0.7143609105808875,0.7285802925034759,0.9333773090392079,0.7744364593268486,0.7850368474903655,0.7705636179926011,0.7597637551710008,0.7335541515980627,0.8287345822545565,0.8302662779674854,0.7768561352429055,0.8445352304684964,0.9176281397056195,0.9347442875175395,0.874151085460175,1.0197212311576245,1.244234699285493,0.9671545192504506,1.070512706377885,1.2780378643591634,1.3295490748544005,1.1481917725814033,0.96785276966383,1.5632907658700432,1.2874308727657342,1.1228219379884112,1.0048631863691317,0.859530188370584,0.855087139176039,1.08834350328756,0.8261363913489146,0.8570186303383942,0.6986676841056378,0.72864376688149,0.7023444134538869,0.710719532977022,0.7016834510712374,0.6340081861146144,0.6324422988282707,0.6151683266357334,0.7895423812568597,0.6198383486439936,0.577661637571829,0.5270054149211215,0.66022908358977,0.5036652160269556,0.6574867642133251,0.718593367366591,1.4213270116018029,1.5025987549964939,2.6310192640100025],[0.6883559769656591,0.6565840943784373,0.7961359292798244,0.48877994169961875,0.5307583875787906,0.5510364125348605,0.478450371915727,0.4994309228236645,0.5401911185629309,0.5478714813940706,0.5577085798628385,0.571778980855878,0.6391287109229242,0.6267903453753984,0.7189365558378006,0.7272401309599215,0.747780997118794,0.8289491220182271,0.9539540914192303,1.0332666067808896,1.21759559622374,1.2589537436124278,1.5019851008879694,1.6097408918227958,1.7255186172083072,1.276989062743768,1.1025147375698319,0.8651886589188964,0.8208830198585222,0.7487520292473078,0.8343436523341216,0.7345911993832369,0.7540297754044664,0.827380809535706,0.8391539259391225,0.8990580825737059,0.798683986655534,0.9722333614008698,0.9567687340822181,0.9061912119546495,1.0128445856099704,1.1433468627844992,1.1963019520493419,1.3583501406583283,1.9033254813838045,2.3154451321427634,2.7132799950934365,1.7310680481496172,1.5274756994951095,2.1887387946292463,1.857133054162456,2.135219232840068,1.4791904266170353,1.4612259493638347,2.016915586865147,1.4205447739889099,1.327228577450422,1.567065120963413,1.1994840846884212,1.7785726520150664,1.230024982746988,1.2025269428441718,1.186628568514743,1.3987823635016834,1.297824736946084,1.152667568536986,1.3646441566583163,1.0069983202440156,1.0553432437952657,0.9401802182408867,1.0835211168559802,1.4444617799005544,1.0668966543649396,1.1809446130479055,1.0298936541929868,1.5567942275085587,1.01947036572957,0.9842969740439493,1.0133573352179015,1.2232086074523862,0.9330347456898136,0.9551700444415114,1.1555649991394956,1.0604779903037211,0.9993366151865212,0.8668159596977215,0.9486774174705421,0.9114874760320354,0.9919749063169199,0.939738741271189,0.926186622034785,1.210124867799331,1.043566878164628,0.8412451292115388,0.779822166677742,0.827212808765121,0.7789529501316449,0.7135006285471879,0.6554544507604263,0.6359590876278697,0.676434456494069,0.6455656276159744,0.7452372363860621,0.6702698101227436,0.9467498219918309,0.7571931879140997,0.7189432109674221,0.7954690774053654,0.661750741767426,0.6967956424641003,0.5635037888928897,0.6500502634470959,0.5790594780836856,0.612060699297099,0.69721536229057,0.7415247308104065,0.8083422931709879,0.8304486235248771,0.9574682169106836,0.8121080412473545,0.7812879888526792,0.7580268571649111,0.7671314700464613,0.6809567094461818,0.5781106335724325,0.5910700820809206,0.5635629228965219,0.6364738595093974,0.6352532493236808,0.7703330888231246,0.7342953310933266,0.788526754058086,0.9470135879095855,0.8820561790613068,0.8963899564895653,1.1176987721439104,0.8926445057850602,0.8911943083137956,0.7869298149146514,0.8254062645413774,0.901822014289574,1.2123799001448483,0.9487007947505111,0.8827777943253267,1.0563726451227105,0.7969527509066013,0.7714723613937319,0.6918075389977728,0.6545720872310377,0.6077579165012198,0.5194209005671901,0.5306820238135577,0.6739676046996287,1.0545216259196941,0.8960922063467147,0.5528345190139039,0.5648458236395816,0.5737234948957805,0.6629211754112941,0.680978315157526,0.7789270591418118,0.8267755269462286,0.8789540692370617,0.9509440183683506,1.0634728920310847,1.143244260955961,1.137474420232438,1.3310285868804548,1.255252554208336,1.0641406062036267,0.9872573709500414,0.9438116707963242,0.9436865364969198,0.913143481016023,0.8709674224252089,0.8162795135872501,0.7904332473940333,0.8156611352616547,0.9246499035740098,0.9299619695141956,0.9922085545906325,0.8918928150494261,1.0378628232629026,1.0936945391355493,1.0407806198385576,1.1305192297363045,0.9627587155267335,2.0443536814300187,1.9124688225859596,1.8023340997228148,1.6354293568794733,1.4359407570281344,1.4686699970225534,1.3365035634327924,1.3236855990775485,1.2368721962452287,1.018692202610872,0.9170258845504566,0.8170974014602526,0.7171579208529807,0.7266224854109771,0.5988867636110957,0.5905902122906697,0.6579174419668786,0.6439182012578452,0.5893170373555577,0.6769217933663024,0.7098023141397359,0.6548909903016892,0.6808224380570912,0.77665112670468,0.8097767839207852,0.8019918492442969,0.9861005955633538,1.0318769591559571,1.0198337937152884,1.0494203245110956,1.02153542771392,0.8926814519875176,0.9125285217282637,1.1355167175209924,1.349983531664937,1.3042516299612459,1.3576695639580247,0.9575382556810195,0.8934559081382158,0.8644352618743419,1.0430134272571023,1.0668222575557402,0.9497230701723699,1.0439304025191074,1.2143501968850992,1.1099377142661346,1.004555600751231,1.325311432013475,1.4566711991535921,1.2082710244515993,1.262167968765811,0.931803659593888,0.9486177150166649,0.8869667343234421,0.7775471027773488,0.8107067665756519,0.8013524976034075,0.7691515546712532,0.7186427309848632,0.7066898294796559,0.6436204528746744,0.6373428534953337,0.5959774283883593,0.6014597080144888,0.6444618604061988,0.6317552308691622,0.696385606467902,0.7366857269775297,0.9414919960116375,0.78252969143841,0.7928802032885337,0.7568684704784239,0.7276250774185674,0.6862062522058411,0.77427900481299,0.8105077560923879,0.742097740915892,0.7952853072787665,0.8769950491640539,0.9046229561998915,0.8303234022115693,0.9655299862170539,1.19835749278344,0.9380711672577011,1.04314151253937,1.2210692878721028,1.29963740997148,1.1338112693742461,0.9699229525535811,1.5558837730254182,1.330325443916381,1.1318739970423704,0.9966645687228359,0.8448452991856955,0.8273687806739229,1.0261369744801043,0.8030669963667499,0.8649003639445106,0.6870320426901037,0.7203249936188247,0.641415776857089,0.6402799386283456,0.5997677926471122,0.5839666163235484,0.5805101749896049,0.558426194888417,0.7742804665227688,0.5734566893048842,0.5496610694316775,0.5057955285084131,0.633181622866699,0.4972525118735116,0.6238367557188268,0.6807127842664287,1.3754813814606284,1.4250697150018488,2.4780406701487125],[0.7447517904533622,0.6887544480449933,0.7565198891051553,0.5835807248238672,0.5422622369115548,0.585458295604116,0.4678748053333836,0.4805579469538913,0.5358982663278551,0.521085735354121,0.5335891278946744,0.5492173918483649,0.604023942094661,0.6004767069284581,0.6884419463684754,0.6957868629182055,0.7238223351930144,0.8191797962437588,0.9661112728250336,1.0378659440606997,1.2482955358611973,1.293311325667704,1.5688172995646188,1.6852464496353126,1.7559690101355472,1.294512282472199,1.1097149356353613,0.8473957985580107,0.7999175433447405,0.7135370252903306,0.8102599212062751,0.6972712336634094,0.7131235216500328,0.8020425736130293,0.8123961560884349,0.8780366325806298,0.7595571480721224,0.9562152171743155,0.9491061123368749,0.9274337860272759,1.0439882897114194,1.1686769248768205,1.232352346200408,1.4054027204777353,1.9594501224194478,2.3574475604465395,2.7968356133044425,1.7956965868110457,1.5575514070304486,2.233947816369318,1.9404752211992364,2.096953458729458,1.5407793754274126,1.5095689166749893,2.096984848409114,1.496084426670828,1.3904527223550238,1.601968222058762,1.2616809008723562,1.8458798635086957,1.284408177387072,1.2452823826555621,1.2145567801993609,1.4322794150099654,1.3356858698231227,1.1761064407781399,1.3958253878596953,1.0182404701074703,1.0770804150587976,0.956629377610646,1.1078069228217033,1.4723799189910807,1.0898765785476479,1.206511521946021,1.040879858201962,1.5665924363258406,1.034690674976315,0.9883603120960276,1.0104054179364022,1.2293757503706753,0.9253081843303478,0.958256881214812,1.119167410711654,1.0477890356132462,0.9831664911290748,0.8503761288549335,0.9478652795235027,0.8957232095367534,0.9847637193580323,0.9248701516609935,0.9149141033870115,1.2048740790287187,1.0214647645638761,0.8159768113230703,0.7552603124296509,0.8063721303959007,0.7619161556155237,0.6797840806661458,0.6190235433151104,0.6061203021021134,0.623772760383373,0.6078968987642775,0.6904940253294258,0.6267762052994724,0.8986734341104702,0.7215188800187138,0.7097441891122817,0.7972115310508835,0.6682098713094624,0.6933878727508728,0.5699824533934541,0.6122518649324392,0.5310074011091211,0.5622174499039757,0.6595603148270485,0.7074329044757511,0.7846912805456343,0.8146486116143092,0.9592048512181346,0.8047342375342109,0.7757213367879218,0.7439143197164142,0.7538876142982425,0.6524680408981683,0.5383209825623765,0.5445360541731462,0.5346325247553511,0.6069246023894692,0.6188731281206348,0.7343229653314428,0.7349654043747798,0.8042562275018734,0.9444006735705043,0.8568128359666168,0.8678929318001991,1.0581825280752435,0.8565491501837733,0.8348825609896687,0.7301878675953528,0.787288436218075,0.8838001541318661,1.2105197691468408,0.9418150920397726,0.8592508449308958,1.0377760386640356,0.7680187095924026,0.7339617240666617,0.6494581837241935,0.6038267744374238,0.5557907803910644,0.48607135158833287,0.4975567224925057,0.6680405586940351,1.0311672744381286,0.848106209347193,0.5254519274279519,0.5217977239228734,0.5349761918535716,0.6135197137664823,0.6371471242413083,0.7341264625459285,0.7880739153884309,0.8460581533923626,0.9255855642066412,1.051694825485445,1.1211722486893854,1.1373330754439999,1.3529465559869902,1.2674061874779583,1.0492119646480693,0.968736700183871,0.9061324403204444,0.9138861300438117,0.8790117918101987,0.833282747095913,0.7738031152937485,0.7536803656805153,0.7743852904956415,0.8979224488970862,0.9078243941169558,0.9644493827434162,0.8501467148813365,1.0194080796783036,1.101281552702484,1.0365662368960031,1.1549586395288411,0.9925208542009267,2.0770548778909923,1.9771962683104631,1.876138128704087,1.7069061455726617,1.4436581460112616,1.4884077375960947,1.3395613692731037,1.3483597831068064,1.2886528180933892,1.0769451777260404,0.9843910079338284,0.8943066057006934,0.7844952312451128,0.8218280392535622,0.6930095122107188,0.6667124506032774,0.7640637937724898,0.7634613863656308,0.6966728254309964,0.7574151209193154,0.8285441525260778,0.7951160656249198,0.8060793157568754,0.9081329514801887,0.953920855742298,0.9333521303729504,1.1340575375568984,1.161577155312454,1.1135604903252942,1.2096852234208475,1.1709001440719418,1.0424912653786185,1.0709302381815842,1.3011228235898846,1.5570362258940955,1.427225405793038,1.4216974661024735,1.0821359659837033,1.0265542035054105,0.9770763019291381,1.1758825009048697,1.2139692932244073,1.069746334814374,1.1408180557030185,1.3129106646820619,1.214597616017715,1.1161436119493624,1.4379957272114463,1.6064475788706427,1.3058369291734955,1.3401204522113415,1.034455302207851,1.0332000957311958,0.9841295380308901,0.8717493245690399,0.8742595066403593,0.9067425663003544,0.8430668469955376,0.8104735016919602,0.8313823640318848,0.741769580961793,0.7211667607403232,0.7037100642714813,0.7194943807468142,0.7447459079963548,0.7439644647251219,0.8312661407304308,0.8730173563785917,1.0492267390943113,0.9193085031602934,0.9446938799326716,0.9218002164255655,0.8840970348248487,0.8200284666176793,0.9060396161055219,0.9635603579576629,0.8876663026809424,0.9220331421354904,1.0220129411322272,1.03472676386595,0.9511695187656155,1.0893461571642846,1.3060957821745882,1.0609642686777923,1.163567154072771,1.357828889712872,1.4403817256164286,1.2594060871885693,1.1036655021132151,1.707023340490829,1.4340912034162197,1.273701627147643,1.091874780695523,0.9435856999112779,0.8894726850466776,1.0453643237581336,0.8810848629147617,0.9788721594076191,0.7782303801897231,0.8521936604657165,0.6997670387657194,0.6981494229096032,0.5953094686961682,0.6348423157222454,0.6266060750384574,0.6159836815024698,0.7588550955185084,0.6073176643933209,0.6198843351584478,0.586207311026567,0.7060712804702204,0.56918207544464,0.6843762448102687,0.6671931606335781,1.2900525078408136,1.3284134680580009,2.2865339200375114],[0.7189226534736877,0.6832454267912749,0.8897901219907728,0.4601651578257493,0.547560798475159,0.5401599865881909,0.491133549292327,0.5325787143518839,0.5146840508886507,0.5373223132397364,0.535560490104515,0.5662983696855196,0.6588850492151305,0.6033994874800943,0.7073378374168777,0.7316065229506776,0.7632790538404565,0.8393854333184608,0.9674670514420783,1.0596492409903118,1.2502738431762876,1.312303998672737,1.5828506860992149,1.7045243615742927,1.7414268441900538,1.2714209863689594,1.1361815428763617,0.8771920312307566,0.84885336407305,0.771445661031564,0.8363771130833931,0.7547034148182905,0.7690499807779219,0.8519159002158158,0.8693475408210843,0.9224250604442222,0.8509553251833092,1.0290264150385355,1.0244301878531517,1.0276012871459363,1.1293633687218458,1.2298301763034774,1.30359351575439,1.485471202547586,1.9898146432584602,2.3598860127807604,2.827288428291487,1.8562645737064833,1.6068746573867014,2.2719315613647035,2.039917930019911,2.0811976763226334,1.6473236463507777,1.6118906715965824,2.2006794978364703,1.6229747600618087,1.50522954326762,1.7032185546042093,1.3800514054647643,1.9805306192160084,1.357144733917486,1.3071366494843195,1.2708275970044645,1.4161116527909814,1.366069096667615,1.2030361447610374,1.3699407410473319,1.029907737372517,1.043211790994022,0.9431454830104606,1.0883042331561277,1.4689924128518135,1.0626082850089562,1.1786076323870591,1.037615728546329,1.5449584897303603,1.0668447753290713,1.0332571958388599,1.0738745835658237,1.2998697064900062,1.0223947517004028,1.0774228557723642,1.1684313700833078,1.1833555017166444,1.0858732147753412,0.9637508375543393,1.0347581807157749,0.9794803853974371,1.0413702054208513,0.9851361432522933,0.9546325302687555,1.2159035745585536,1.0537258093172919,0.8485491250625132,0.7836286576844963,0.8170632598644672,0.7648975317303842,0.7036934381758533,0.6531255707512484,0.6396847007837129,0.7160390890980362,0.7310196831817929,0.8186597842197667,0.7616026466446129,1.0569968977278041,0.8627213111945977,0.8683073131054633,0.9550954518627202,0.7868545333942408,0.7876805247519997,0.6460737467917148,0.724630219542706,0.6308807973140956,0.6563573571779353,0.7005711332635237,0.7471416715477266,0.8025491123004732,0.813289233321481,0.9186009649686808,0.7990195310273277,0.7544919693379282,0.7417735770870731,0.7538284678399074,0.6769007722959922,0.5699503743570656,0.6360611022682893,0.6312962210046023,0.7146369361079103,0.7233230350836631,0.8665207179554375,0.8588109024371996,0.9549371596560093,1.1008115759797206,1.0250737594974029,1.0015965923816166,1.1668290063432873,0.9721275436615078,0.9203718878662566,0.7625573577655256,0.8558491145659541,0.9122747878753296,1.244221905369963,0.965078986841686,0.9040083532139238,1.0826521747007527,0.8387714687075774,0.7979914057275771,0.7236788723503823,0.716542132901969,0.6527218477349721,0.5815732659599566,0.5545074423234458,0.7208282581584614,0.9656757240377156,0.8455191884774023,0.5880777611816729,0.6094194330382853,0.66185961005372,0.725119739690026,0.7623934301333856,0.8539756740117309,0.8914418539739423,0.9414322416431535,1.0274157467031189,1.1610651374472765,1.2010694815766072,1.2505202574154317,1.4487646816424304,1.3712680351597286,1.1345917250501212,1.0882216543742507,1.0148201785367923,1.0387677483531454,1.0116041505797642,0.9645734203275426,0.9075159555205073,0.8655294507162256,0.912503937527848,1.0358010066335464,1.0624524995155802,1.1043451088016991,1.0102557153101097,1.1932992187715856,1.2615887347623842,1.181678022730753,1.3053450747557374,1.0980289159783463,2.1968030767599,2.0814480875774666,1.9911862870347858,1.8199306218530484,1.5645686314754554,1.6158658817353282,1.4714341609875483,1.4759488286879514,1.4038090261436098,1.1686874801516454,1.0684813861836255,0.9447647415860967,0.8206975862785483,0.8528967336025124,0.7171725948693085,0.6788085925785178,0.7573552591744356,0.7520141524284341,0.675847753868569,0.7275587309147099,0.7897377612413072,0.7350084152441805,0.7295908570879435,0.8277721020276209,0.8658099777247145,0.8281010680652126,1.0115622712143406,1.0755569968906977,1.0887276555942575,1.0711201426286368,1.0775555025362593,0.9658761955330581,0.9825191678107376,1.2338230861017165,1.4987878656726483,1.3851907283462253,1.4057303958067122,1.0968187655213073,1.063866711570634,1.010259827988923,1.2251643310394011,1.2364470937893803,1.0912702702936738,1.1968918586648905,1.3859933310673072,1.2326103506551094,1.1594160619531209,1.5162773546729627,1.604157734800093,1.326598378966548,1.3608498203505595,1.0670869403967473,1.121394368879024,1.0561275199657885,0.929292417342828,0.965523999180966,0.9283371702723173,0.8901802905400129,0.8585680602566796,0.8427031674179574,0.7485379388154157,0.7177515614311915,0.7072945560702053,0.6872997595776721,0.683514220322412,0.6877261290485019,0.7768405104775176,0.7790059021588973,0.9646454509221686,0.8447141146590251,0.8668934742625717,0.8444239761816965,0.8342342238951627,0.8126333230679074,0.9114254035195891,0.912691205806105,0.8472017078146674,0.9250062441318193,0.999515628292513,1.00294393186034,0.9378741970024579,1.0925294898414186,1.2996878836229542,1.030539156811072,1.1422606581496193,1.3662805810053984,1.3923171659459297,1.2140275959456992,1.0350938166050723,1.6487547754231564,1.3235930951139017,1.2082680987080348,1.0592473541189127,0.9023717427703944,0.8812735279169762,1.1113241009261137,0.8592392418994852,0.8947512457178021,0.7144597824509874,0.7745079461137673,0.7183472207707498,0.7221478734000962,0.6771584655736124,0.6452674674952786,0.6390482789285902,0.6320879466174207,0.7528775947681795,0.6002561126341833,0.579132144231637,0.528407518533671,0.6605716894492022,0.5016247237152854,0.6347946725625327,0.6707498660420916,1.3024350651060614,1.372267340021549,2.414562769942385],[0.7161432905982117,0.6919328982740239,0.8956167144950735,0.45791233865805975,0.5383264479066807,0.542216528381339,0.47149403640971943,0.49514573639396336,0.49625061057671316,0.486881970357328,0.48435290963694144,0.5168146869060014,0.5742064846460998,0.5234738666711863,0.6059874200340729,0.6227453631553223,0.6344275883791716,0.6902887287246258,0.8084854987059574,0.8443105770891504,1.0026111283355839,1.0625171126001292,1.3479057218582169,1.4836065936063003,1.5795688830519872,1.0549718491182551,0.9260697648325642,0.7030319883949412,0.6880701125348638,0.620470521795448,0.6958034373194016,0.6197401235374902,0.6335127774723464,0.6998141192191061,0.7018920751760129,0.741260469562422,0.6855836476465048,0.851662995214608,0.8107315414171163,0.826545025385368,0.969621212485956,1.0005683813125217,1.06590572412649,1.2956483121246352,1.7227302925895698,2.1378242563926952,2.4875503177880884,1.5506391064251277,1.4290985145737454,2.053223383802685,1.7227621601090068,1.8567849313440759,1.396707894447227,1.4908921178594319,2.2126071274289436,1.5128353189601378,1.3833671320800178,1.4610030805247127,1.2174056843300884,2.0061063019268945,1.166764849361239,1.088988005308592,1.073081809566628,1.15222479181059,1.1355479073376027,0.9549738820223911,1.117325159508925,0.8176030568761413,0.8903227346709675,0.8151218400132831,0.9743169946520778,1.3360930946227023,0.9269542380908931,1.043887366942607,0.856120344375398,1.3666434430852796,0.8504811609763018,0.8150933613366277,0.845316731671699,1.032741255774202,0.8046647290759299,0.8735587053655793,1.0081127206166036,0.9879770439336817,0.8875777439906825,0.7622575784467986,0.8194318735636545,0.8021051320542422,0.8229913168396026,0.801249320247155,0.7709981093832617,1.0332474410603503,0.904544020930195,0.7099467091845416,0.6622365087577077,0.706723440709804,0.6784299092027157,0.5897432114601558,0.5652078155689599,0.5785287818037594,0.6018721599586858,0.6412456618013088,0.6791621321764778,0.6540792199133069,0.9155776755464698,0.7438085132243799,0.7616123382783303,0.8432390062294778,0.7053273033714685,0.7153281619931294,0.5946723654693907,0.6428220286770485,0.5592247837321923,0.563026472207252,0.6019195508980316,0.6367478890208385,0.6805067065428059,0.6675920830093726,0.794204869024225,0.6685643606312884,0.6373947719095475,0.6422858224711929,0.6637989548823207,0.5906258115664963,0.5082885957755435,0.5602223618664242,0.586664911516568,0.6401560460088819,0.6430494185247052,0.7481317174414264,0.7531957211663932,0.8192505737646824,0.9315739168277476,0.8578119678852874,0.8556909691809724,1.0529508150896862,0.8755316252627495,0.820151008207303,0.6700427786683629,0.7111304315414541,0.7625520123936886,1.0699032899954288,0.7742265112927887,0.7331140851841298,0.8754344969115129,0.6804208497283462,0.6556849331448571,0.5982931109112052,0.6003251818569847,0.5760661958097791,0.5263444098409086,0.5050886054955753,0.6954058079917902,0.9490140084659308,0.8053772740978633,0.5300233750742028,0.5379564558621039,0.5731700857730746,0.6112925126657602,0.6515343098505781,0.704692195941645,0.7240715955877256,0.766079676779641,0.8169046691125789,0.9406244660778506,0.98585632468861,1.0490141562423916,1.246697339041876,1.1932031606251727,0.9833865596394495,0.9264669784818894,0.8538487048996943,0.8550106968511786,0.8258527127836408,0.7792433208175261,0.7349606782019634,0.709888246753468,0.7251231110232276,0.8341435082203358,0.8698384659542524,0.8919791830811293,0.8289628920841777,0.9729122107074265,1.0308162170934838,0.9554421884091518,1.0295110541586638,0.9149105403750097,1.852385486367457,1.7501188161103283,1.7311064171442334,1.5780074863085736,1.305129158923391,1.3920379638706277,1.2718293096720257,1.2931273113143855,1.2435920973494936,1.0549765336696109,0.9655547273766826,0.8767646642872808,0.7728415840067896,0.791696303830546,0.6685718744748831,0.6442582166804985,0.7167786320872067,0.7066399910256865,0.6445067507196716,0.7020762975703699,0.7528110614737789,0.703159846052327,0.7122647266013065,0.8003784730603731,0.8286886375308491,0.8073446917291348,0.9763142449243198,1.0313566471767466,1.0620718937701756,0.9991335368748057,1.0038356863619562,0.9031636390633168,0.9060815833311185,1.1371197729391955,1.3756723643935973,1.3173567800662433,1.386431284872125,1.0195235159637783,0.9717819923610064,0.9264024032145302,1.1148242029984887,1.131869364542156,1.01280844164517,1.103116948091085,1.2693826662831214,1.1480554260130962,1.063266516523502,1.3881592291820612,1.4867242437004127,1.2493369761704238,1.2992874157095364,0.991930416183485,1.0246606235322901,0.9669504717449999,0.8533467530926119,0.8864032322147273,0.8726855411267556,0.8416215291242108,0.7957202969404803,0.7830986356949956,0.7192674392360084,0.6974100366448649,0.6702208316390397,0.6588071242848268,0.6711968996006473,0.6684246250190216,0.7483540897330294,0.7565170843933219,0.9619148838000086,0.8182436571997197,0.8255473869859578,0.8026365142198953,0.7857097909011941,0.7547256488174242,0.8458111774838543,0.8490406777046029,0.8012921709590527,0.8622877228630396,0.9311307200254657,0.9477469572024552,0.8843767982445103,1.0167051763524388,1.2412025996824312,0.9741974998492738,1.076961835931329,1.2555027139715347,1.3071881958114804,1.1333005432301875,0.9666449465463708,1.5443708119301496,1.2925055306267241,1.1113845648707397,1.0270160548460572,0.8740483446848751,0.8778723856448596,1.1337956849195667,0.8457589753960397,0.8599910149223786,0.6820260878561089,0.7356941617571539,0.6895091197094021,0.6879839799492581,0.6330978270207206,0.6219986690199647,0.6139667054372104,0.6027522532870504,0.745088761556463,0.5825675114084915,0.5654645427068893,0.5170273054939198,0.6607861058868076,0.49867893324615187,0.6570959258094646,0.6834334719262123,1.3314474105453082,1.4008660855792006,2.4438084546923187],[0.7100132256282604,0.6328931863815884,0.6786739914543927,0.5206218236288596,0.5388091708639834,0.5635847090542402,0.4263879112406804,0.4328336614302428,0.48778898305559304,0.45192539990385877,0.4573510287109476,0.4925257212463785,0.4884582687927653,0.48182413548247666,0.5437933593847675,0.5526827571903337,0.5595911299679435,0.6202990148453483,0.753411523354128,0.7939114712762945,0.9807692006874902,1.0393307655437605,1.3301875735567883,1.469648644374056,1.5854386778909493,1.0572290322423037,0.8806881688005207,0.642806434024896,0.6119111332138788,0.5379012309172818,0.618630251284078,0.5413113354778357,0.5473926710551541,0.6166991713580721,0.6204926218837766,0.6606129643744201,0.6048170714668066,0.7909001039738355,0.7321034888677022,0.7731541339777036,0.9277649200299197,0.952414153564022,1.01610681450881,1.2603458760454032,1.7093445671498895,2.1408193309339074,2.492117021008508,1.5208378316800162,1.4065965295934417,2.0460774818767034,1.686491588401242,1.8261501023907414,1.3645889711068195,1.471378799108944,2.2380266819775896,1.4879538994104395,1.3521492156982946,1.4021067811485675,1.1738357352563449,1.964132824140395,1.1187280782908582,1.0399178658252,1.0104873983573983,1.1389487836241727,1.1087079258093981,0.9067032871974566,1.1045120442354135,0.7648279017781549,0.8596790291422137,0.7585612048349025,0.924999857734439,1.3017749713108284,0.8909883507426493,0.9980625449974683,0.8274999806927396,1.3347342819731882,0.7951296669175015,0.7410809996472297,0.7665362901219099,0.9438323143147452,0.7164625576981524,0.8069543527768085,0.9627501529221659,0.9189073593035049,0.8217713527804813,0.680905285722354,0.7518811218743715,0.7326601002805131,0.7471920630660761,0.7187691408195294,0.6883289796927229,0.9846774588616338,0.815029539859238,0.6185277996506299,0.5745328031704374,0.6386727249981661,0.6236734040202456,0.5214794290534986,0.5124316738239522,0.5513673276001911,0.5184120268923922,0.554712518892284,0.566129375434383,0.5839317816390355,0.8195304059994349,0.6656712014995402,0.716327588924543,0.8083006415552381,0.6918770660572562,0.7063923965927571,0.5999421690658238,0.5830548048353155,0.4792250649116919,0.4903320517139406,0.5301532688530427,0.5670604267148761,0.6234867394052614,0.611552288251208,0.7542305615994371,0.6136972505422967,0.6029860414703216,0.5883172837762548,0.611445964304749,0.5284192967944564,0.445630196332129,0.4790496908656782,0.5324831657457666,0.5839040167594083,0.6161136240862569,0.6880248305831015,0.7340678795819536,0.7930888691809431,0.8832045539902283,0.7927753864652353,0.7997801341322976,0.963519483692311,0.8091579545559832,0.7500674643772821,0.6314405217505124,0.6430346695308364,0.7205381868654921,1.0475522800467547,0.7142710641411391,0.6662750292035619,0.809156728057757,0.6031478363828554,0.5817581269726684,0.5186392312649438,0.5093112957650044,0.4974110427103776,0.4785728755070638,0.473842894589236,0.6742928720828395,1.0285388453047628,0.8195731229091948,0.4926634153190065,0.47109086054173305,0.4922446850717565,0.5166252424194173,0.5658167370360498,0.6148380002088255,0.6321888008038491,0.6844108743239196,0.7337548945990164,0.8664392757572665,0.9242016921504941,1.000943544301774,1.224641343269518,1.1563198527072165,0.9516052318344161,0.8672356101743676,0.780591354374013,0.776080702910961,0.7395212355235042,0.6865336080332515,0.6366320669884888,0.6257054199816308,0.6295739672482283,0.7388425312879582,0.7785793683388378,0.7992095172653108,0.7190645084101515,0.8702870735314456,0.9579687017746562,0.8893173751954693,0.9607514633465912,0.8871138241883587,1.7556132015015076,1.6875370950359294,1.6990381464154931,1.5638858197798002,1.2475145225058424,1.3287508973405069,1.2060614725417753,1.2629682019904054,1.2414120228224925,1.0746032044864908,0.999812744224576,0.9335081004128531,0.838532024731044,0.8669080219313722,0.7450964829280647,0.7179359116619461,0.7948341579405362,0.7935967511039783,0.7187382011095537,0.7608357794856444,0.8233909683900544,0.7902814595556997,0.7807338914010812,0.8745784442744335,0.9157623612240682,0.893438413473301,1.0960432553144195,1.1012566736813694,1.0609049850809775,1.1408071813452765,1.107188369770185,0.9984771331607343,1.0224667793138285,1.271044996571375,1.5102464848997783,1.4039851329897264,1.390862090411867,1.0716644741447519,1.0234278672823638,1.0004527319502468,1.1893430750881895,1.2097280895147948,1.073819191242796,1.152035616409327,1.3002852027527418,1.2173282511176164,1.1397889735897633,1.4282087374006542,1.6093514090497134,1.3150892968582262,1.37310172921453,1.074607789096257,1.0530081368850837,1.0190318350117509,0.9100524315925406,0.9175410514336667,0.9578754217328732,0.8831453456609735,0.8614785775948394,0.8744409222944526,0.7939933004430887,0.7879014593528182,0.7370222792539274,0.7408570081462864,0.7634052840251727,0.7549262855798041,0.8299506110453072,0.8449920158360464,1.020695476586753,0.885313125635319,0.91181084486897,0.8805516410113645,0.8668225775047919,0.833607109510291,0.9224493211280425,0.9406676732106312,0.8767150928949918,0.9379644183733388,1.0068233837009024,1.0134803224179634,0.949474618461985,1.078117963493772,1.2700337474519825,1.0376998279907588,1.168001195860846,1.335241963063986,1.4061529933332353,1.2391890855946752,1.0750439831874592,1.66860382030234,1.387896057018491,1.2145904927539408,1.0430302049451614,0.9061754851065559,0.8562884309565688,1.0041666316515783,0.8478892605074947,0.9619660220233834,0.7781983100724766,0.8616514607532255,0.7314277191862424,0.7550540426674188,0.6142331749668799,0.6807292239600856,0.689898171578659,0.66193521631156,0.7583915631226706,0.6297736430661741,0.6292865375433102,0.591428529152066,0.7122201804168562,0.5226067536787988,0.6072011438070588,0.5940181561785042,1.1682361070721117,1.201471799217352,2.121329413320016],[0.7560243179558236,0.6614309888146583,0.7521827174973064,0.4791841759292816,0.5167810387092705,0.5487906535538153,0.4297618854310812,0.44767583931689325,0.4609808208984748,0.44596915130346804,0.4455181992593495,0.4827488907901999,0.5225811808844258,0.47545949105884516,0.5539095208444227,0.5760286891150812,0.6093124335143738,0.6745857240240672,0.8168693078694761,0.8459065234652628,1.0275040577449335,1.1115722893770599,1.3869089260389114,1.533777912168542,1.585383882500223,1.0621368114337515,0.934516211555245,0.6967321122535468,0.6774265141794277,0.5909646610093624,0.6607156577140226,0.5799127126106154,0.5898480101766739,0.6707273049315599,0.6787027460273312,0.7203777526648485,0.6754882556158347,0.8610526400045839,0.8197357893090932,0.8873293359520948,1.0438259893486443,1.0423536056277216,1.1257096200417114,1.379359024469994,1.7777842872193779,2.1654988125631047,2.55565703577263,1.6187068822047508,1.4896238824503876,2.095168835845705,1.8006715303701397,1.808964877872169,1.5274079683349715,1.6145332687254186,2.3773032108037295,1.6604575659115526,1.5018096905960796,1.5027586594441955,1.3402579856346706,2.1544181189880325,1.2561541341856406,1.1559245903086532,1.1189479148472754,1.1872550827439954,1.1852791444166149,0.9837369283631362,1.1312326639441825,0.8105527707967268,0.8924125775676417,0.8019019219880322,0.9654323677129999,1.3248901954954677,0.9169417727291731,1.0539897111871117,0.8441237680992322,1.3518686032303624,0.8624775813071293,0.8135814764852083,0.8480051528493457,1.030797550005738,0.823535072103968,0.9285671349834692,0.9760301875141798,1.0232988217268428,0.9054823260108537,0.7785606900708617,0.8415093099298361,0.8157539348484961,0.8209856097406867,0.7882036590404032,0.749098887493883,1.0115947743655354,0.8552178966329409,0.6537645207009221,0.6024848860764762,0.6382998445653699,0.6199232865380666,0.5264329023296169,0.5127771663243185,0.5569989360961115,0.5531040787502101,0.6216949757758192,0.6338307419548128,0.6391658952884837,0.9043413694903691,0.7448979088770444,0.8059995946237424,0.8877135980798019,0.7421736192139318,0.7551633760713007,0.6361444748328782,0.6455867486954121,0.5140316159881922,0.5313340488422171,0.5515138415803678,0.6036029129803677,0.660121532344406,0.6647680783765323,0.8036280996379568,0.6564819392150385,0.6295011155006959,0.6127486086916306,0.6344456517277314,0.5394958283893045,0.44251588278231435,0.5094430314689162,0.5692496270175732,0.6318773970989982,0.6576906187094114,0.7562760144399981,0.794683831423477,0.8776933504607319,0.9727705379215934,0.8893752962262288,0.8735757164634887,1.0177756461531098,0.8633115633786316,0.7912622040112939,0.6554949437538172,0.7026688262960411,0.7833385908175223,1.083726531099178,0.7903984508855713,0.7376617370288726,0.8659427428225418,0.6787430411942689,0.6398404643446255,0.5690133804088183,0.5726105353189184,0.5292413703916247,0.5145846922848043,0.47850307910321793,0.7031670047327648,0.9753532072572456,0.7881624545621256,0.5208521704739824,0.5113146452643258,0.5519672976202176,0.5706518027530397,0.6310774180081534,0.6897292639243185,0.7140358917024208,0.7666156648068438,0.8265739834923067,0.9499244806954118,0.9695396518475604,1.0730631843656988,1.2774614683781964,1.2055584067242329,0.9759290680200485,0.9298010648095989,0.8531663771372002,0.8686687997171146,0.8374899412082529,0.7852906728436341,0.727433180663405,0.6937964985205144,0.7168596679574045,0.8478250389522701,0.8976192652501743,0.8993134335443318,0.8158551083269807,0.9799998098537747,1.0622179404071108,0.9814584211308353,1.0724664760077052,0.980883177848897,1.8370109875992173,1.7923538220109512,1.7894449072874155,1.6487731817236388,1.327213234502389,1.409900854401179,1.2734134343694998,1.3359729133795861,1.3313964065116397,1.160012194311815,1.0757822275351243,0.9766645898602787,0.8597236785156173,0.9163521980819302,0.7792353959005479,0.7320892000725235,0.8140403295559023,0.8239683104457238,0.7338241982792705,0.7627182080974307,0.8442687527049916,0.8133388021298212,0.7891583752961022,0.8871455530797319,0.9370220501741678,0.9014920366474634,1.1039550468501071,1.1289596053891926,1.1101253403940958,1.1486140440130093,1.1423840542379602,1.0292743969007283,1.0581129396902942,1.3196103317985628,1.6202152579191256,1.4356394119009381,1.4028982236885301,1.137810662374426,1.1156758253879888,1.077269217389285,1.2912285116056734,1.2975691638170606,1.1461528484488805,1.2454339714025722,1.412727703237882,1.2935477648962985,1.2278914775337284,1.5458602339502348,1.7030561004961418,1.3869206463373693,1.4150586746203744,1.134771625988509,1.142392538966814,1.0992550392540468,0.9840935016122906,0.9941980675233981,1.010684581091323,0.9351685056513184,0.9201926222575841,0.9272292600406933,0.8246152923724173,0.8007968188713684,0.7670660706606531,0.760184738150109,0.7542291931570652,0.7585038852233593,0.8547315315872552,0.8496848251652874,1.004529157858585,0.9087877647696952,0.9493710698180337,0.9215351314455371,0.9101848264501111,0.8798124677117426,0.9790214482380102,0.9874630449617884,0.9209161468894279,0.9836613085501236,1.0567347077556684,1.0533211150871349,0.9876894697012835,1.1341247600871716,1.3075884713268835,1.069942805684843,1.2133906480398862,1.419078238494983,1.4406187636072596,1.269210213481786,1.092425262664374,1.7169916672142984,1.3587959106566774,1.2534554045197492,1.0676353110132497,0.9266634867872058,0.8790073373777626,1.0580122579712694,0.8585786939696399,0.9271886515151148,0.7545599296838167,0.8562734835486043,0.737255628986834,0.7629407591507914,0.6312114310607357,0.6728893386627223,0.6900900887297845,0.6801341737007828,0.7355647920341917,0.6136610556777494,0.6223409615735316,0.5786584965484722,0.7063027880067173,0.5155937905837934,0.6156654671900068,0.5796981131823469,1.1400144501293747,1.198823553184384,2.1088758495900075],[0.811766918148435,0.7316631480206515,0.8908774721984188,0.46245967913645275,0.5315340987145531,0.5534331828485545,0.4596060485108317,0.4883740859143391,0.47711225337645863,0.4718896245175475,0.47043771156913594,0.5188294559354083,0.5625748069827792,0.49935208288065036,0.5749919534882723,0.6013567504383409,0.6467701036773446,0.6954102453000576,0.830663010082615,0.8359689637974481,0.9906516223361665,1.0951866107998132,1.3481373485977004,1.5018387737710845,1.537513540817415,1.0165985784512868,0.9216686912727106,0.7079423530990132,0.6979296791942468,0.6169148810273893,0.680032568505232,0.6116940201738904,0.6281279547866199,0.6904971415243782,0.6979315941307757,0.7284606686285687,0.702908692813108,0.8739210317596728,0.8260350177179417,0.9111583057730832,1.071982138860425,1.039025576273747,1.1253930061415764,1.3977809266425658,1.719615157459218,2.086502013459991,2.4300457814395724,1.5582869560405073,1.473184295677758,2.0258983257761223,1.7268734434109025,1.7421404185387601,1.5332237235031434,1.661700231058141,2.4538075086591316,1.728948486121725,1.5741320597292106,1.4984885258590803,1.399260403582934,2.2793620065230127,1.2990851473741645,1.1904037237247602,1.1519394510682337,1.1522939324424089,1.1757632452247515,0.9728101103501194,1.0756591997653242,0.7963243158879921,0.8856533972976816,0.8102885747074285,0.9705236145822113,1.3072680065824143,0.9089328111221773,1.0510068919903588,0.8235977978556994,1.308123871953456,0.8588963368788834,0.8153655448828301,0.8458465136920768,1.0070134681349048,0.8371679622671587,0.9502440202393634,0.9800493564992501,1.0412297122827563,0.912422765624875,0.8014369982797553,0.8507478783631484,0.8366149624822997,0.8214579607085245,0.8016624788503816,0.7576448625993489,0.9942559085454058,0.8581140049980767,0.6770046818498685,0.6286407877844186,0.6534989234247923,0.6323300502172235,0.5565996928046899,0.5455979313436875,0.5895157934317354,0.591384757331284,0.6666592896031901,0.6702754202797674,0.6751415019408612,0.9406871767306362,0.7810306277393483,0.8338999093324705,0.9137798146361539,0.7613466327522275,0.7711984169326097,0.6546125995094517,0.6787121213739635,0.5534025658635694,0.5599058404438854,0.5698198727552612,0.624647769923095,0.6764389407500805,0.6759715792080687,0.8083835253227795,0.6706622878099552,0.6391041172201277,0.6311617978740727,0.6473608072606662,0.554788154000024,0.4744444340499363,0.5422586728112071,0.6035680514582101,0.6562614875617452,0.6847238529360524,0.7839063342083641,0.8089375214945319,0.8890352990310915,0.9817890340326884,0.9069251353968347,0.8875772002373632,1.0315595711019165,0.8854124234959565,0.8036640893879974,0.6700366113261649,0.7182411818701863,0.8004265393011621,1.0673752383989707,0.7852409857859961,0.7497366801495778,0.853044056960243,0.7033301430604487,0.665913919758492,0.5970800079111618,0.6096863891191846,0.5661741627853729,0.5494790729993068,0.5126425586464709,0.7286362172691566,0.9563175809086155,0.7958459394350225,0.5553742080772808,0.5555715096754695,0.5970270427500853,0.6076218577083012,0.6689430849958118,0.7166384851527596,0.7398915235159702,0.7841557418715492,0.8332921584330837,0.9420794584004403,0.9422232400451558,1.0658375408881404,1.2597531915085627,1.1960903626684936,0.9743239065194566,0.9350074069831467,0.8628841988270726,0.8795053367131379,0.8550465643646499,0.8091687281064344,0.7572387990516605,0.7222821896216687,0.7516534937394037,0.8731299757007444,0.926730056552069,0.906541330591532,0.8393069200782939,0.9873964863020356,1.0606228438092746,0.9792147331182989,1.060407908789195,1.0026005484302398,1.7676413248463698,1.7241288672501431,1.7587983070363629,1.6183499329405537,1.3069180607538817,1.392468823704037,1.2711011679279431,1.3421409913227351,1.3168803422016122,1.1508876242270638,1.060399180444732,0.9599068859452204,0.8431343411667405,0.892111357066351,0.7631721216203703,0.7164469157046337,0.7936512849355054,0.8017932872718792,0.7259304267223454,0.7627144285266725,0.8365029565972911,0.799042486363825,0.7852614201395379,0.8782319367802753,0.9211112833943434,0.8795777729310835,1.0536456964478342,1.1211159360367535,1.1413702137583404,1.0916070299134883,1.1005699566193587,1.0029456283173224,1.0181221436635464,1.264458343450162,1.5333322867717065,1.4092486332387728,1.4071441539179748,1.1243222914510607,1.0972411467252474,1.0520574185487748,1.2572454381763212,1.2612830137213251,1.1257438465563105,1.2163825814177376,1.3790780343347597,1.2487807403815887,1.1846610692063313,1.5210912409766948,1.6376170927530764,1.3463599866565379,1.3841806605841378,1.0989314807042638,1.1284335241686163,1.075834395821131,0.9672663428394609,0.9909714812854661,0.989344617974135,0.9262185662047566,0.9071307341855182,0.911106710656586,0.8133193224844896,0.775449173628465,0.7609050887033507,0.7522856585619557,0.7360233210806215,0.749637816578855,0.848931700678476,0.8400438319235876,0.9989308633649001,0.9045644954212371,0.9350251919751299,0.9087842626835441,0.8977393221559241,0.8695395953429484,0.9642097867106108,0.9666074710500645,0.9049729448935125,0.9694486441818009,1.0414535864634447,1.0473086158190412,0.9742550009770121,1.1165085948444355,1.309701275713339,1.0533282210480786,1.177925445746549,1.3682020950446707,1.3926247521220825,1.218206006973958,1.0493000052608543,1.6254890821195438,1.3063971518556705,1.22461009804386,1.108162904704365,0.9430609426401578,0.9354968605582719,1.1847494199713569,0.905546372804181,0.9129156411452933,0.7320958642610228,0.8039649602498811,0.7368239353518712,0.7451570259740776,0.6533634780140181,0.6700673692253364,0.6746267415020502,0.6794965916260255,0.7366995064779901,0.610558341263124,0.6276872350377504,0.5743406427413429,0.6920479826257844,0.5221264632880291,0.6569995882785944,0.6378486142634986,1.1866759535489877,1.2696612384980714,2.220479121863399],[0.788762664974716,0.6849824072256189,0.7324193923978433,0.500329395986026,0.5714956042009292,0.558053896999146,0.4438018552645724,0.457057017934282,0.4691401436247723,0.4329061334184113,0.42609863765923867,0.4868626730739487,0.4928077632182194,0.42231629710405283,0.4792426309570524,0.5195193256180578,0.5663002521474331,0.5981054344467669,0.7285916934570457,0.6987310483582296,0.8292421964969706,0.9510645820854132,1.206882753119762,1.3620100147212426,1.456802790633877,0.904134476358093,0.7956778519812481,0.6071226711137431,0.6045966105030259,0.524723105260306,0.5682277233103873,0.5249399022789673,0.5356326780542021,0.5797842087373141,0.590337847776574,0.59876799131273,0.6168394527246202,0.7762735861021159,0.7060936614744886,0.8360175994514267,0.9980404875786493,0.9148448785830513,0.9977604742225984,1.303032901038084,1.5577405931595478,1.9424175781477342,2.1988667358938443,1.3554325456124239,1.3338309294617232,1.8608133790813826,1.4800039195760368,1.5781270079789482,1.380549411264459,1.5927982060557249,2.510573640885489,1.7155388694158509,1.5696097817916228,1.3372164644365687,1.320491179372555,2.288174526772212,1.1775015357675496,1.054618483196631,1.0215162852070363,0.9997717547138085,1.0408558078553203,0.8362351528311913,0.9076763475380325,0.6641889521340809,0.7860888160639311,0.7272354059720474,0.8914698075244121,1.1932017356252294,0.8361148908486166,0.9558541164714176,0.7037641538803695,1.1998434611773774,0.7311444610941185,0.6759890791080094,0.7001260704296984,0.8149646406863688,0.710666018545334,0.8597847910444579,0.8945842416766071,0.9172893988228081,0.8036543919477189,0.7058071384568331,0.7403090097966398,0.7469296311658988,0.6750790771220543,0.680218711775202,0.6229463255777407,0.85004354043587,0.7187991229947095,0.5527134100891369,0.5194129368447987,0.5507746073507435,0.5509144387086863,0.4742830132545934,0.48991778721144735,0.5696769611900419,0.5234433078150068,0.6108875593667037,0.5912802321466553,0.6538866351296332,0.8363745212594754,0.7233277137685465,0.8108745702703236,0.8714559675037822,0.7643620520539606,0.7783199509064368,0.6823549137126877,0.6587040882587549,0.5042833360857144,0.5139238827069297,0.5031303149749191,0.5547807429470059,0.6147976461762492,0.6118665724794872,0.7385833267293866,0.5924929437255757,0.5714150812687958,0.5632554077173751,0.5873831729590692,0.48846820763041243,0.41648592438654336,0.4977273174237946,0.5894734762781115,0.6384848229653622,0.6831528775153584,0.7382241391220694,0.7953364498581623,0.8499417573180099,0.9112296389343527,0.8285508656167353,0.823737993023893,0.92544732465293,0.81466366494139,0.7480056111383214,0.643676520593269,0.6497989890656495,0.7517934092465033,0.9851974009634761,0.6862600838985832,0.6547886038377068,0.7086741620806093,0.6123188566079861,0.5856618881801204,0.5330055614901748,0.5480666631207567,0.5254994665635868,0.5531473014256387,0.5031507909904218,0.7061466362642311,1.0312260561085311,0.7930756961304034,0.5445414173073949,0.5229265776297221,0.564708883224245,0.5434004419230343,0.6191661284851806,0.6359803113624374,0.6405106965494677,0.6924910975119575,0.7221380580971942,0.8081896043968658,0.8053249699152457,0.952956262402014,1.153948722253986,1.1030597798521895,0.9300175279614828,0.8532661571935082,0.7706361070202254,0.7752180171560835,0.7595205824794101,0.709599791932387,0.6545834651076391,0.6358371244070851,0.6369970508776032,0.7575357584596708,0.8109233023361326,0.7839231131256182,0.7203888529371868,0.8440074633075976,0.9391137177484975,0.882357261011502,0.9269852145294196,0.9859576342324621,1.4880612705124843,1.4799264411620132,1.6234975491919434,1.498078693544753,1.1637613095794597,1.2570854195031773,1.1535967261363873,1.2574666345630474,1.2625432910830512,1.1303612064748643,1.0528247674163738,0.9854627646072516,0.9089049061139921,0.922303845247306,0.8138587632876131,0.7841008036476899,0.8347125258427686,0.8316500322735761,0.7632010124373484,0.7844791399481655,0.8451000053121748,0.8218677850376033,0.8086060323404981,0.8900124632273736,0.9314831067965006,0.9074671058805333,1.0933204013132003,1.1098908996346648,1.0920250240988933,1.1093266500928818,1.0854594931076609,0.9948737296723751,1.0112975379859888,1.2631943874705585,1.4955555504476872,1.3856966919244795,1.3752791274569662,1.0728566353479567,1.0397819296184492,1.038776167292158,1.21815282387817,1.2109238079402063,1.0931349671714594,1.18533258914514,1.2945653736181673,1.2218001298007957,1.1737539672643706,1.447986226482374,1.6274549693530742,1.3306988235276704,1.4062428226947006,1.1202832352635927,1.112199608037718,1.071060199743574,0.9612955663429763,0.9742846762928964,1.0147130105731017,0.9442761353959678,0.9317187672988777,0.9322040569474013,0.852289682150793,0.8505558336255608,0.788657374436683,0.7863374894149358,0.7931348455138806,0.78978774376842,0.8641711790961136,0.8671403850400601,1.016482571001594,0.9133716473604777,0.9347817807838816,0.9026607571757691,0.8892808312066088,0.8640626676757628,0.9426216949223117,0.9452552340687883,0.898886642569216,0.95413922569665,1.0035316402162018,1.005586124818859,0.9578609762875627,1.0722904642001738,1.240397428353762,1.025953031151815,1.1806049467784407,1.322996151286597,1.3767938374461297,1.2202310489958972,1.0592924673511825,1.6164062194221391,1.3405723512484053,1.181613151730855,1.0543153691442673,0.9143703410721478,0.889497291048405,1.0747784175185118,0.853784959061457,0.9399256067960938,0.7813426386067422,0.8798466704562139,0.7751330236817099,0.8208870838580585,0.6675047371062403,0.73292484406407,0.7610434137119643,0.7298855299322989,0.7763027760163134,0.6712973375819474,0.6683180908871172,0.6256940560288926,0.758219911120255,0.5518707776896715,0.6279664624549325,0.6048305549737961,1.0886684620307043,1.1338548390355578,1.988551322157935],[0.8372255473286472,0.7110193150295877,0.7175449385160518,0.5922705429746712,0.6615326682196961,0.6397943860327091,0.5113934145726734,0.5332817217496426,0.5229929771454843,0.4687288315818248,0.4625390226031665,0.5288039865367921,0.5332816152644829,0.45314526949773853,0.5066833388420967,0.5616517690353152,0.5943460913630642,0.630357675099939,0.7516538053688346,0.7547224597740008,0.9010331254713305,1.0184268749342071,1.2903136080994553,1.445074099623638,1.504482318990848,0.9612945376641259,0.8535393682788334,0.65511020906448,0.6484135709201668,0.5754415001927914,0.6035550355728592,0.5710447209470686,0.5702591149929901,0.618078843890981,0.6402916412486663,0.6457912587227087,0.6799330103351302,0.8479658551797298,0.7843383714006725,0.9318558646928646,1.0651183436006506,0.9812180112055339,1.0762684170832364,1.3756901544445919,1.6671279849276046,2.0469419190152394,2.385359265270951,1.5037527902780576,1.4562362388598937,2.005273442115123,1.6793381257803486,1.686353741491433,1.549196508101955,1.7022223594040722,2.5773048414781936,1.7995639594510904,1.6235344853728342,1.4290073597129973,1.4070717892578322,2.3250021175634803,1.2527270028694746,1.1294269201755731,1.0887232360230192,1.0800286715424408,1.1019332201564638,0.9015235604109394,0.9830252524778886,0.7182142572064293,0.8193462704611308,0.7581772414837169,0.9017237365981178,1.221327144343466,0.8603897912786953,0.9919471886755404,0.7519434462508332,1.2526041053490216,0.7797228047923681,0.7257071735697634,0.7636188755983729,0.9077315746315299,0.7837638103012922,0.9429067663969624,0.950014533186228,1.0329637700751355,0.91252192085414,0.789957825667552,0.8072399950398309,0.8186353556350551,0.7290685314467149,0.723444320199732,0.6628397670585527,0.8988877041563145,0.7597341738595587,0.5874367023083288,0.5567567267798584,0.5894544752930204,0.5819249913409407,0.5208770109366905,0.5352718096026761,0.6281254817282084,0.5785186724788521,0.6962267978157501,0.6742347766000101,0.7612068867852133,0.9636753018941059,0.8598152652121736,0.9751882596691482,1.0399806215120444,0.9325542991493994,0.9282862682461934,0.8174363092513479,0.7614673150957519,0.5824975144882217,0.5757389485487907,0.5445275715694697,0.5909009944176914,0.6500616675078128,0.6330636462687942,0.745932221265662,0.6137059589542924,0.5953251328680977,0.5937636781299459,0.6190534810987526,0.5220981386097757,0.45454645499072693,0.555726269049788,0.6758557579134946,0.7384623578447544,0.811592303662309,0.8817543457258101,0.9596887582224045,1.0489044814802466,1.1057236674193873,1.015175210689323,0.9843356068919246,1.015216090349289,0.9227903847356732,0.8225870677772081,0.6945841703455241,0.7072689096514432,0.7721403146988113,1.0233661014035045,0.7249290515107228,0.705297618636649,0.771889822656829,0.6683657983464931,0.6394632571925338,0.5954328006196268,0.6287224929335642,0.5890551564733308,0.6473461557373071,0.5792488755403761,0.7746555287571701,1.100538089708509,0.8470715865412248,0.6177968245647306,0.5922929554923287,0.6518743736485851,0.6229720902937123,0.7215881245415877,0.7363856836923273,0.7228544931237537,0.7719214577924254,0.8186674063163425,0.9219806611260889,0.9035378125785724,1.1018459405443992,1.3052137808792583,1.2314512140928386,1.0386290970095187,0.9860785201268225,0.8774967011190998,0.9003265742504105,0.8834186038203622,0.8254305692173639,0.7809754353497619,0.7239452072327126,0.7634860169368743,0.8809330700452862,0.9622099757047835,0.9314542010169978,0.864703406298854,1.0134220563259255,1.1231856215856701,1.0418490799136815,1.0649085751609235,1.0679182956068318,1.6208378606570706,1.6073606928394752,1.7205965095119355,1.618464606275998,1.3280939447674673,1.3981224442654698,1.2916846753247067,1.403833174815391,1.4689208683414539,1.331649355089152,1.2642078130471754,1.1881122064544587,1.0888725157971324,1.152275673121177,1.024052742056738,0.970850130418426,1.0426271088996668,1.0551723554783905,0.9523873974852641,0.9576075300592624,1.0351223717250886,1.01101938951674,0.9576275919552109,1.0345871735746741,1.0833715011768055,1.039811973471686,1.2352168101756165,1.217410178947933,1.1778130636132047,1.2757366388582043,1.2831306016505906,1.1849189386247523,1.2253605376900982,1.4894030682915003,1.8048654554393768,1.5412230655986403,1.4911814662515421,1.3078378780536624,1.304600208068179,1.2993443820556445,1.5140532358860626,1.4982996855346005,1.3494288593182093,1.4334750088418509,1.5819009265159945,1.5025431825303723,1.4452651922992497,1.7288997673656077,1.9191031566488082,1.5790388645034572,1.6260453534971138,1.353188336452922,1.3314746882192738,1.3068417829128216,1.1995552404225338,1.1831360083572973,1.2408587168722114,1.144050914175873,1.1490068239030882,1.1473121722394908,1.0527935939236672,1.0484914565580234,0.9918219694284477,0.9713703713765061,0.9522487215659102,0.9559743037752079,1.0416462731646399,1.0188513024364532,1.1278682253404404,1.064200656722918,1.1122978329287208,1.08776660650307,1.096392068954908,1.0865286224431558,1.1850275502050762,1.1751333609223062,1.1149749641370452,1.1919926993346597,1.2344076938365753,1.2173163626594385,1.189460392870522,1.3104630143700926,1.3984799339389868,1.2474212572956687,1.4308178338545479,1.6081474761722148,1.5976287477680742,1.4557438488835808,1.2688474433605066,1.876797551168312,1.45653386503507,1.3577926270656664,1.1470931606837416,1.057880978051571,0.9631708268064515,1.0573818173684182,0.9739003069269713,1.0921074933931607,0.9877118423112131,1.1039518203003937,0.9283939310017333,0.9923761911563665,0.7938203275744456,0.8809858956667312,0.9195755779852393,0.9061604664585314,0.8988563532781103,0.8038253226559721,0.8248606528500574,0.7888746839384778,0.8602453095556719,0.6728316553440558,0.7152287778736832,0.6846638169050845,1.0186699476110708,1.070246200525463,1.8233816944382375],[0.9724829252989816,0.8413693717921565,0.9327845340193102,0.6089240072874978,0.7112079458635984,0.6973350763097742,0.6240599593055942,0.6543296137303011,0.6139952276991139,0.5960855883071643,0.5839335310749127,0.648105389570859,0.692059117763796,0.5926149679012259,0.6616903421880247,0.7299945173583949,0.7847588218776291,0.824645228440537,0.9423068807706568,0.9505787300352282,1.0703726208974722,1.2447625330019982,1.4025361137983952,1.5785402407401405,1.5593649645576362,1.0752229054511921,1.0602543872078818,0.8729694737225377,0.8636063646555386,0.8002766462588339,0.79737309882685,0.7801835965509964,0.7836304153662286,0.8425186769880928,0.8736813527051274,0.8814495354724102,0.914364375868404,1.0669878962712445,1.02858031437105,1.1935791715032673,1.3272212152355083,1.2226419082304905,1.3404717486357616,1.653119770872305,1.8118333399997206,2.1083515079338273,2.4063369046317176,1.6789348177248182,1.68083885434199,2.0767148209857074,1.822111956977517,1.790038066941824,1.8858633239882627,2.0107096738184738,2.8474833773340387,2.144814104614553,1.9494629232856666,1.6383252277076144,1.737364418654047,2.71778388477368,1.5786051442384743,1.4305692437920177,1.356611964695179,1.2698074742228285,1.3202479992220941,1.1207477858918933,1.1064258689872417,0.8839152677240832,0.9375863142967529,0.8697085806409252,0.9945484757444002,1.2683174172986,0.9344329574222201,1.1029052216474626,0.882562737918636,1.3186361183233988,0.9892229968727821,0.9534921301658351,1.003088221486848,1.1257901390308647,1.065719884581908,1.2101401067540019,1.1571536429066898,1.2984850554080642,1.1716702628280795,1.0519344921280298,1.0648397415508473,1.0519576081429398,0.9781223681756819,0.9617258437116968,0.8779005939188218,1.0266047234970512,0.897501736974012,0.772780060828121,0.7257188760648863,0.7029297794465454,0.6939935431883806,0.6692545399715194,0.6801713384181536,0.7589335228505126,0.7688199563337945,0.8844067004831575,0.8816082637156749,0.9335789679777653,1.1343281378080088,1.025953205755576,1.1192065689944324,1.1823300525930551,1.041304677493153,1.0369096181107513,0.9259450007733809,0.9190664519807129,0.74392827626109,0.7530092890758585,0.7016136056859305,0.7703797087675018,0.8317111590336891,0.8367398849338646,0.9443854424026654,0.7988939568146762,0.7368282689330119,0.719582703245319,0.7211463253497475,0.6523040139047666,0.5947070728027514,0.7236845345409036,0.8047607257225324,0.8929741215171284,0.9534017581734182,1.054080959009574,1.0916286625823737,1.1935731190840464,1.2654953706567236,1.2030807516160769,1.1665580123828432,1.179627028335109,1.0916612069291287,0.9836959625827494,0.8833996356537845,0.9312325476521092,0.9938945151510273,1.1782228225748732,0.944926258101541,0.9407427437246695,0.9868519914577913,0.9130180180943201,0.8719065823045717,0.7905794039369001,0.8301089148882604,0.7564624731899543,0.7827808460730177,0.7066445981556777,0.8868966457238945,1.1183204091035326,0.9034125216326576,0.7636161539126887,0.7528872684912626,0.825697343155523,0.7999229253177796,0.9036064010954505,0.9464965453698887,0.9710979903330428,1.00727632842395,1.072577168676388,1.1518248024032673,1.103903343198637,1.289560006859358,1.4497542271225257,1.3764398814586234,1.1911288383609808,1.1669918469224347,1.093557806924127,1.1317913693741364,1.1194666351877518,1.0729898449486022,1.0175465423916306,0.9569666060840609,1.0120478668580764,1.128629230840161,1.196786021438692,1.1707876329909241,1.0830395798806354,1.2376682673019606,1.3271267648329683,1.236128221453022,1.2742416158337984,1.2740055697466681,1.7187390434722523,1.7195887221005035,1.8464529128100722,1.7374461916732564,1.4872233011779212,1.5557910084749533,1.4439011012996403,1.5427774391392715,1.5926675298829978,1.4545928759843547,1.3677000011271303,1.240159272498382,1.1265982196722177,1.1934548417751425,1.0635407433865882,0.9964976667653319,1.057104388991064,1.0773063930909017,0.9759783897881875,0.968754628192233,1.0483944179286242,1.0395127575254848,0.9684294564321684,1.0514800375966962,1.1115979763327084,1.0515436753663652,1.196456655367521,1.287650973621153,1.287646075937833,1.262822195932641,1.2796368299911869,1.1972824098627348,1.2252119823730767,1.4973039814649136,1.9204386001489768,1.5901114159565504,1.5664014134699251,1.3738765477191317,1.3894131605329862,1.3671344245019745,1.5793064207736078,1.5493797720697715,1.3966007046047835,1.525264812380773,1.6691527189878883,1.550469245457468,1.5157556750795387,1.8121613108352073,1.9453271240849181,1.6374051141651726,1.6514042096497858,1.3998592156266998,1.4226565584480835,1.3850074225432574,1.2804571379222005,1.278158237957012,1.3201572003938074,1.2281269073953853,1.2062161175854205,1.2020537573464172,1.1022508890999736,1.0676210005873434,1.0341484356631665,1.0212816802695561,0.9787703483170141,0.9832895647363825,1.0923525128325553,1.0590785516849666,1.144353203462283,1.1102077028584703,1.1729309227093012,1.153510746086015,1.1497926580695002,1.138021735468232,1.2347025106062657,1.211906615262004,1.1519792323176636,1.2317158140595887,1.2810829711176732,1.2730720053944655,1.2168511884049344,1.3474578286985646,1.4653094114495346,1.2604129538434368,1.4126250610897522,1.6257223341192741,1.5723824371783233,1.4220136779557588,1.252771299408235,1.797529487153666,1.385071554466642,1.404453934613315,1.2033785281041451,1.0835223229780948,1.0311614682011763,1.1975312596994683,1.0099797754178792,1.0454696942188821,0.9431889862750356,1.059871426621007,0.9561764611557386,1.0176260053280648,0.8816629325705112,0.8973544507428638,0.9409273402339774,0.9405726162265601,0.9526551983532574,0.8404033262430344,0.8335397291212558,0.798226171961177,0.8974864595490488,0.7053552684510105,0.7860827845734264,0.7546869398560301,1.070462139508342,1.226342825584177,1.9923759907354244],[0.9574172308751343,0.830507414490632,0.8745886646170965,0.6082966012891989,0.707099189135642,0.720016525587952,0.625883852990987,0.6585437127563344,0.6358623656492192,0.6281263362979852,0.6184670801724803,0.6748205737478368,0.7269516767365566,0.633258894724418,0.6972617181418123,0.7656250261379414,0.8168023175188495,0.843941455228483,0.9535144287871159,0.9150565450467862,0.9846073840527414,1.1723463139367027,1.32724167051239,1.4696896302212559,1.4841159970687752,1.0159622741190961,1.0078406417342258,0.8866450743436238,0.8803281276408084,0.8105794373344392,0.8101941306978506,0.7997290299731544,0.8117308829793941,0.8614523436234923,0.8818162384846737,0.8720561842716553,0.921685450156959,1.058944383174818,1.0076600324245468,1.1950024491184121,1.3038047478154855,1.165221462659032,1.2773008081988533,1.5996139695946148,1.6730885099763544,1.9498703621925797,2.150026995941595,1.511789960521199,1.535349141889492,1.9020336485586893,1.5755576333495611,1.591837236227113,1.7311893174733097,1.9584930712320745,2.894427045534271,2.1398170430661785,1.975369769837912,1.566395386498757,1.7129300791399804,2.737031454643492,1.5321220377792135,1.400996990129077,1.3456913354739222,1.2073126268615202,1.2644566936999715,1.0847375842634057,0.9970298600168691,0.8722885592061524,0.9501431071885547,0.9088678727686065,1.022797273431509,1.2512842526870254,0.9782644244777079,1.106509988719356,0.8524329276416579,1.2724020190559673,0.9761966663084974,0.9257713361208325,0.9617290245619838,1.0416228929574425,1.0379466092410543,1.1881372425094447,1.1415078244473036,1.2425785686280209,1.1313331226025207,1.0457138929079755,1.0472541044961001,1.0579236129096183,0.9428891071024746,0.9439266440187553,0.8711776002945896,0.9610435736126883,0.8755968075497222,0.793006148084157,0.7505431758300978,0.7172212319211428,0.7324572184791882,0.6921887782237314,0.7120382435739273,0.7687341644146591,0.7643823478292174,0.8823536744294059,0.8745561944923492,0.9239221375363129,1.0902760295098233,0.9830794797741812,1.0663878204436124,1.1123523282134535,0.9841124196098616,1.0032383821545392,0.9116210338820985,0.9133123886911595,0.7372959828391518,0.7734030915186705,0.7270607222879371,0.7903434158378535,0.8629788043478799,0.8707922866631558,0.9736524536276676,0.8310184348739316,0.7768149343156505,0.7561859223549625,0.7561778678820484,0.6730632155455807,0.6171993877018993,0.7459453009939417,0.7891071384458203,0.8781604245881591,0.9113427735508219,1.00031229427132,1.047640525249184,1.113480526041688,1.200471040543882,1.133537696509771,1.1284327234488054,1.123931208126352,1.0436133715185634,0.9937709564544898,0.9214451931467315,0.9499700060767438,1.0428474009368967,1.178391271926845,0.9574648362194618,0.9577408617037653,0.9328452001429316,0.9361566574119943,0.8924452842580732,0.8192599016159674,0.8254332431713715,0.7636382353694007,0.788214683498293,0.7199019705909161,0.8928196373732502,1.1017743875322807,0.8956855587776358,0.7739051847457407,0.7695376321445855,0.8291636066126991,0.8168859353797779,0.8963713360608059,0.9393572535493018,0.958973633955989,1.0142987109006971,1.0593756092888371,1.1053986427470466,1.057252021869254,1.2529966176174108,1.4038572899445034,1.3370800383590913,1.21086763820788,1.1474654024529687,1.0731989823124497,1.0970869026595134,1.093359228948983,1.0531845880031587,0.988572070702173,0.9435147117862208,0.9778672844814944,1.1021029502673452,1.1603525105200605,1.1185761105716494,1.027534663773797,1.1511342543719374,1.2488215721145999,1.2062509849902592,1.2226982277748693,1.3143600524415289,1.5399391998805587,1.54692239459575,1.7742297604890775,1.6752143749704225,1.4214008312392912,1.454022994858648,1.3579607302212733,1.4660912190983217,1.492404687817779,1.3845755800875967,1.2736644393706407,1.1559415304901746,1.0767848134272309,1.0737535571552241,0.9644674102372719,0.9309669954458263,0.9383303127790443,0.9314336145395634,0.8590451500738263,0.8483807722107185,0.8986165119737067,0.891847581721083,0.8645894548084476,0.9345712206014863,0.9747344496172632,0.9445519284667085,1.110545714647897,1.1824972501974667,1.1758251705134206,1.1073409481335932,1.084301614470794,1.006359982826466,1.0297719143233655,1.2455011914453784,1.5612669485332502,1.3533469814627799,1.3886357514497552,1.160635214000575,1.1576247139241131,1.1727165689316208,1.3688223374903359,1.3310699944125894,1.2177602977313786,1.3209653225148301,1.427907796222128,1.3259727298030914,1.3201073237632657,1.625953666464289,1.7470872054434226,1.4383152000595045,1.566349970622306,1.2672733625136194,1.3151629665868578,1.2541345631396317,1.1181854953977737,1.1370092299582353,1.1621219281921529,1.1165127772875925,1.0954986358211662,1.056343706008683,0.9897960649608444,0.9937362016023564,0.9077164838477627,0.885910436016988,0.8729422246919435,0.8640534422367473,0.9482598983415326,0.9242923730894497,1.065202486580392,0.9747536166263666,1.0020560544842068,0.9732814279939443,0.9607171381695793,0.9577799064861003,1.029876175650334,1.0070708280942762,0.9642224273979789,1.0424990000502916,1.066531733992954,1.0662499028621697,1.0330525674051798,1.1411877550516654,1.2863102535079365,1.0611807967377733,1.2364828998970852,1.3800234275993415,1.3844552858499375,1.2221959234024116,1.0669031257113184,1.6182852780487764,1.2789104846331163,1.2354296049639089,1.1006158424676737,0.9449397333485106,0.9464539443920212,1.1645398760397005,0.9104470609123371,0.9194484240860664,0.8188949975045207,0.9366145035966766,0.8796315115643061,0.9797080578489133,0.8387057657792507,0.8358921895549057,0.8983663437623973,0.8582736264857215,0.9142908138010061,0.8044957850629214,0.7642960382819793,0.7350494611438659,0.89813888865594,0.6798905693499037,0.745234157188181,0.7272765058140835,1.0383069939007508,1.2142198773020128,1.9735462545740226],[0.9291854108710774,0.7793241373999596,0.75656630686258,0.7256048814447987,0.9001227099988139,0.8193012111934647,0.7294536180059739,0.7715661837024189,0.7097771893428413,0.6704996550523455,0.6475874962650857,0.7363330766861256,0.7677706425137549,0.6289492865086511,0.6816969175080266,0.7882170775105352,0.8225504806376569,0.8264346231294624,0.8860297492621589,0.8731418426048363,0.9108335574867589,1.1014008261458579,1.2472268508155806,1.37622091074569,1.4530337773585162,0.9621495623528498,0.9706292621786021,0.8719937750529146,0.888449585816008,0.8420146721823512,0.7892289151935498,0.826420266630299,0.8309358886459562,0.8495884249213591,0.8907818338006508,0.8615099459766576,0.9713215268877987,1.0573993243192499,1.0261025732388718,1.2404311508811618,1.3069961124171574,1.1317744964297867,1.2487794611874836,1.5647046193940994,1.6199949201472825,1.8975890884526712,2.072642216985703,1.4509644247310503,1.4707010654438468,1.8390322651986148,1.4899743859839674,1.5443663022029743,1.6816070692372451,1.9307551893777286,2.926208671114974,2.136736989782909,1.9698835972265365,1.5278050331378146,1.68182458540337,2.6954831470417617,1.4502661171547984,1.3244569451035684,1.274905485038934,1.1384153088145068,1.205925019852211,1.0404544164735643,0.9261381323706237,0.8335297596454354,0.9123864889289419,0.8634050000070403,0.9698867088176716,1.1914696590305933,0.9353074732402048,1.064092439165015,0.8057334656728188,1.2328406383838824,0.9387277263184719,0.8986688792277034,0.9468149091698477,1.0133392719195908,1.0660767051583886,1.2516047681538294,1.21232120910182,1.3146322265478145,1.195251994682249,1.105685147923229,1.0696588641491096,1.0939697308644463,0.920932110135606,0.9370856855961102,0.8459076572463313,0.8893192690463788,0.8353701933461338,0.7702085117323766,0.7376702124269424,0.7024749859030305,0.7216146052035265,0.7267412595939488,0.7602775495420361,0.8645415660038813,0.8482643229018126,0.9982971062812458,0.9868828900239421,1.089795396133045,1.2322603452880394,1.1678183502596926,1.2930604976479108,1.3304125725087315,1.2368295971630157,1.2282868331540369,1.120238729405983,1.0749541312541626,0.8608671037562823,0.8856412944034714,0.7816957478563004,0.8059897710359033,0.8568175088113589,0.8419434619458016,0.9080098417570415,0.7960558009661057,0.7401788532553297,0.738342205622215,0.7519002112099488,0.6743989276644609,0.6642711122362275,0.8548373580311831,0.9345116208255098,1.0360993855415996,1.1170440202670493,1.1949117318200198,1.2880971852469665,1.3575573621978485,1.3981963258447052,1.323084689094124,1.2906181233501446,1.2250125075066651,1.1803739834747518,1.1018348723389997,0.9801054310030158,0.9846821840638617,1.0181661852338129,1.166560439564996,0.93029449380969,0.9490207609944902,0.9289188149548872,0.952627044096378,0.9217447932588492,0.8968734287942188,0.9341758755878705,0.8587527377277042,0.9494192444796893,0.8355902426800845,1.0025177965587415,1.2104001597267449,0.9885210063475,0.8888892907622632,0.87168550871381,0.9633680439485216,0.9073100406965249,1.0220596717495565,1.0460055782762612,1.019042157386269,1.0702608636449071,1.1097964338923816,1.1629815179618312,1.0875473382668532,1.3361374458453166,1.4684693467582988,1.437386412033486,1.3036220387696023,1.265063373655629,1.1554489672569788,1.1852253301141429,1.194601784237493,1.1465111436267759,1.0983550109368176,1.0136604275665078,1.0753267927150634,1.188493978960432,1.2684826576642945,1.2209128372311733,1.1709443375730995,1.287798502057984,1.3907495646000565,1.3407074463223412,1.3162482019196624,1.4058491393088108,1.5149569185592093,1.5214982971337767,1.7980996956809236,1.7278987233277878,1.506037409574037,1.5457658859342736,1.472299075116404,1.6162607450339002,1.6962751266423775,1.6108909298710476,1.5409690012067885,1.4712867190628058,1.3881350390184795,1.4051759388248408,1.291624476467965,1.251077316071026,1.2762199189851713,1.2516847642895637,1.1492365189016878,1.131108718688011,1.1700372996998236,1.1382954597247978,1.0587516316869665,1.1022395618245693,1.1293612868866225,1.0896530459565181,1.2515152846978683,1.2255817984768893,1.1949109153988131,1.257774885875567,1.2653099595216668,1.2274448602332266,1.2440317627703135,1.5162147935330508,1.7353576537161561,1.5842100083393118,1.5307602665789515,1.3862772523937414,1.4020407527915066,1.4442616649212745,1.6361808716343438,1.588665660251037,1.4916834926841154,1.6000055429696236,1.687485560216462,1.6337687068142064,1.631875815372605,1.8423844242471277,2.030682911402786,1.73811316037699,1.8504581919278356,1.6013050556863289,1.5836358134906683,1.5494466729884688,1.4200459717858662,1.4185434460147235,1.4640170887542954,1.3840392625189815,1.396126793441934,1.345542022428075,1.264028672204912,1.2887743072109408,1.1891411622030086,1.1358499214934283,1.1103895858008428,1.0968464327859502,1.157421949878544,1.1135253034675805,1.186828157734109,1.1255021259001687,1.1643636019298156,1.153521442831132,1.1836156343581112,1.2258203169756179,1.3092362171615652,1.2455282006292903,1.2215173503937122,1.332764849060968,1.3199733174402823,1.2830358823796324,1.3310391925581204,1.4134528036074474,1.4431368644087423,1.3456746993787374,1.567915727703404,1.6332167999000462,1.6315122855398396,1.5224072116323362,1.3549811069578808,1.8681767405536711,1.4877824762523133,1.3202157698024728,1.1558510492896512,1.1269509316303226,1.0203873515626216,1.0778042402749295,1.0708570563310975,1.2448653760699964,1.2537944930301108,1.33840983415057,1.188736725940694,1.3004949384096736,1.077001711978303,1.1184188817340845,1.1886500967543647,1.1277271446995578,1.132847275552359,1.0394852936907564,0.99683516923094,0.9624864396875387,1.0560653818451742,0.8258185625429629,0.7978822016510108,0.8007541130875175,0.9589101138311243,1.0659086726738016,1.7344402718078742],[1.1948444279394024,1.0561986624173871,1.0264615448120957,0.8953744789491225,0.9882927660720003,0.9444549070861441,0.7999054249532401,0.8590099923606284,0.7883919134847334,0.7087673995698625,0.6863474313662732,0.7912586819816506,0.7858729906399803,0.6342792852511422,0.6827043820322459,0.7741049228973745,0.8140982078008409,0.8112693497777788,0.9007808422763174,0.902888491334037,0.9853944118042759,1.1946644913285829,1.3486967652486956,1.5082712893920054,1.5063413510796444,1.0045403350012283,1.0140517833559293,0.8637838217367848,0.8826412951938969,0.8554225661121161,0.7699290223815621,0.8550181865390724,0.8634933830128156,0.8751362867530719,0.9196909936495958,0.8829343136847633,1.004111010918813,1.0977859098532055,1.0718631319691634,1.3247766516865631,1.381620120182803,1.20092996488811,1.3379275215746047,1.675153178275538,1.759903268328791,2.0414365473698988,2.273114251264937,1.620075680752554,1.640996806765839,1.9932596605362878,1.7041799896148149,1.719100091799545,1.9375824234386418,2.1187382319367334,3.0779834235713177,2.286545267589095,2.063066537600284,1.65062257849489,1.8374200347114509,2.8250447991498513,1.5981844748021068,1.4445256916643616,1.3718919295476577,1.2138722823963664,1.2943854662252565,1.1068369858727178,0.9981284267473844,0.8340025050346759,0.876963583568537,0.8313269655173623,0.9359647723599941,1.1644911332063914,0.8864791448054598,1.0458421717196598,0.8095615299845901,1.2227542825630715,0.9565914876339551,0.923453958849953,0.9907027584563113,1.0966107291398421,1.139099119608826,1.3274922703580079,1.325025708466434,1.4379847702394633,1.2963873308214005,1.1825493271441572,1.1223518838744881,1.1514736864932993,0.9706414800340939,0.9691224820625277,0.8478055042540992,0.9098981203583018,0.8244165580431398,0.7675012339130477,0.7286616428183667,0.6899197222004559,0.7050676095786035,0.7481354930625502,0.7986939232629036,0.9391532336791816,0.9116065283721714,1.1040156260529823,1.069907654902519,1.1967180259747285,1.3832284692699892,1.29312258975906,1.4713064103071873,1.5128514945337375,1.4279866264447658,1.4037510526681467,1.2503947791387624,1.1436325478268765,0.9061739189416493,0.8978605384505708,0.7710444477008443,0.7945081689953079,0.8359098009122399,0.813632328670853,0.9066112391168809,0.7682855188699312,0.7114803276803048,0.7320240935207973,0.7278592007501193,0.656475836912646,0.6792171892322797,0.8526790448495034,1.0108744032396926,1.1061819761042808,1.22356511273983,1.3283546328687161,1.448083418469175,1.5819813544099908,1.600358817206201,1.5067780539529494,1.428907238411798,1.2795745004644279,1.2536327077623226,1.100166318945686,0.9622307079104574,0.9801969558112404,1.0108332632350285,1.1782699106953272,0.9349337669497797,0.953801274952104,0.9609330665254159,0.9649702626285397,0.9227621420093237,0.9038939580747586,0.975639950901647,0.9120557339776147,1.03968555177694,0.9392777205995833,1.1283060316282372,1.3203607526190673,1.0576427082263677,0.9872411150292355,0.943692518285764,1.057485106709415,0.9717580896979846,1.1124793093579393,1.106739178229403,1.0646974908382132,1.1011252036983943,1.1768989999086557,1.2559854239904988,1.1686626710217527,1.4584062433884026,1.593889559407975,1.5486442251087242,1.351264570931027,1.3501149900431182,1.2108757938041683,1.2797797212379796,1.2940415911018672,1.238904367624806,1.2134317911222017,1.093316793762809,1.2102440797439462,1.2991874938329435,1.4007412600162625,1.3583341954780113,1.3036736418534955,1.4732021976375174,1.5917101598541694,1.494257659708406,1.4459131692069838,1.469334234465101,1.6439688173033942,1.615707311857915,1.8931329671210957,1.8537907803464815,1.6768574689966218,1.7378934906485468,1.6733681139629342,1.8291323976959422,1.9439189024906125,1.842145365512733,1.7981209560893319,1.7266369793904657,1.6153726466361704,1.7163870145449316,1.5720776734658357,1.4822700843965437,1.5643888062799043,1.5866280594590625,1.4360871676709723,1.4006932114860138,1.5138275390090623,1.4976550707805265,1.372453753626337,1.4486950794410438,1.5065700816621224,1.429767128404461,1.5640357616900114,1.5911146860835843,1.5626966612191016,1.627272080956603,1.6656977482343702,1.6289285650755267,1.676773414177813,1.9265403362964069,2.2506445181791648,1.8797299788199218,1.8747381312391336,1.8330142575355695,1.8619435806833837,1.8588161433689623,2.088685729330061,2.044236192457002,1.9057976080224155,1.98710731812109,2.1330258763305237,2.0465733189213897,2.0219822207213483,2.294392802656624,2.4537023478685307,2.1371565662607943,2.187874915235425,1.9147511338347767,1.89797877964342,1.8892342809865723,1.7816598887482538,1.7468445902740375,1.8245800973622845,1.7123576863309524,1.7031748716195585,1.6963563446243737,1.5976064812337245,1.5768765669640592,1.5291732725387954,1.499150456807877,1.4409465061133027,1.4347097694738251,1.5534673201535385,1.4860125052427267,1.5069615711975568,1.5242895313516154,1.5971916730338866,1.5986950533031261,1.6111661414862217,1.6206782580068373,1.7207185110673309,1.6807830096788519,1.6246243835010077,1.7270500775602993,1.7532682689839032,1.7110939435595998,1.7296544073388227,1.8623938094579566,1.8567451811204747,1.75988073805347,1.9650412097156364,2.1130294543289407,2.046834432930535,1.9249215430477584,1.7146310888329335,2.25916964947692,1.7713011397325396,1.729827185810668,1.4879836981732337,1.4646870193304895,1.3061911129792039,1.3250070708199726,1.3011862549774105,1.4405605589071226,1.4419960975451918,1.5775129325846595,1.3439369018098988,1.4869846345053175,1.1911619815291064,1.286026064371067,1.3709223326946556,1.3805899202291168,1.3497669508325951,1.2123477458840048,1.253964002071978,1.2207216348347143,1.239972734464761,1.0535601623945434,1.0863436450183597,1.0920551205447317,1.0960557604868777,1.1483192909924342,1.7417568525628244],[1.247833326772258,1.2365964482112655,1.3135197309971163,1.3647606724625976,1.5897168929268748,1.5033515555244343,1.477442070387929,1.5564713501060539,1.4271086739031704,1.42120753704073,1.398697474722673,1.504628204184316,1.558352287268261,1.3770588611787284,1.457072293533436,1.5857782245213927,1.5902667203922904,1.5920922415388366,1.616855902894474,1.5990750816006083,1.5612003313692269,1.8223970766314272,1.7314161262807357,1.8118243651635035,1.742290136221273,1.521843088965153,1.6883678339692372,1.6474732794932347,1.683575180622498,1.6920572374352816,1.600553969664792,1.6832389868263498,1.6854797322267943,1.7181360247688724,1.7594207687122363,1.714754352954238,1.837165652479641,1.8936326906670493,1.8543289636105726,2.090196429653124,2.072262216919508,1.887586256831754,2.021612169794284,2.318498623275394,2.1493730448936055,2.2138756746947204,2.3291742839657856,2.0665752104054063,2.1490735938325796,2.168390091404979,1.992982611801446,2.0877044537826013,2.5991768872262306,2.857095416175792,3.8354801177537303,3.043677693356555,2.814331354254472,2.324804183139887,2.623372594333372,3.546864065556398,2.311044504901588,2.205737637160443,2.1477620734977716,1.884510913908486,1.9125233428368245,1.8145463330312248,1.5241345751862045,1.564670046696898,1.5604985116258847,1.5376038938257917,1.4783112969495142,1.5722919588718578,1.532830017118456,1.676397360910421,1.4909754032853815,1.7941518903201077,1.7354191745418297,1.741328496875042,1.7962006485749933,1.8071530722026028,1.9525098977566384,2.0962524025119174,2.08578357603876,2.165254004767445,2.041839629341412,1.9918628979446684,1.9190380070242703,1.9661329138492838,1.7708681771194354,1.7766707530753065,1.6751356976795804,1.5991806149812415,1.591632888056613,1.5979338754587809,1.5527281450501196,1.478001732114302,1.4724521318007335,1.538280651548965,1.579977936769139,1.6855799375584446,1.7039098296530144,1.8465928847677442,1.8655464256870515,1.9389809527364834,2.1044007053438962,2.0210339524634726,2.124864399309,2.123933470851855,2.08243984201726,2.0856136116193227,1.9651378272324032,1.9334981623078056,1.6626184694749075,1.673719475331834,1.5322526463369608,1.5339166585334787,1.5645322585378452,1.520952358485176,1.5562908088603387,1.5019374057031047,1.4031674877544131,1.4087015850167484,1.35099265153091,1.3548767614447532,1.3867722105218532,1.6060693139847795,1.7231033090220826,1.85778247271828,1.9246870242299374,2.0467078776664103,2.1325094395960016,2.212843321765259,2.255849792186386,2.199931952138282,2.161816517183032,1.9335201173331855,1.9520449604273438,1.8377935071265263,1.7319506465007959,1.7432619752370324,1.6919057111510099,1.7420231562162953,1.6008782591308466,1.7073323484826708,1.683266085103371,1.772549455173582,1.7188346293269756,1.7102429107176587,1.7679776982765578,1.6788508150709576,1.7873146779136992,1.6546269625814127,1.8120432860277944,1.846037387063811,1.676641520694277,1.7175582487567838,1.7029907066832082,1.819160215486311,1.7719745690000583,1.8870939614375846,1.8987499610122645,1.8764356243696798,1.8796244803515902,1.93832188047105,1.9350436686090509,1.78735254142575,2.103048274324625,2.108020207325202,2.1000135798993953,2.012042270478779,2.0592021300963648,1.945181032815283,2.0204271980038278,2.060111456966871,2.032406350706912,2.0147064926240996,1.9077535163391213,2.0046969146328153,2.082779485275029,2.15174816499733,2.0970049099872976,2.058193957759845,2.157091475289859,2.2411250550633777,2.1806415335294833,2.091474391404951,2.185421390770977,2.003895700847394,1.8910886007917085,2.2701125013358685,2.280331827673826,2.2498375817768075,2.229000971214101,2.214106931493971,2.3483923766113843,2.4519403234714856,2.449052981065854,2.328084326805211,2.241265203900206,2.201256606056127,2.1754648442751043,2.0855259665582397,2.041675801717455,2.008187095289665,1.97130089998511,1.8704784092661195,1.798601531828992,1.792079037987588,1.798621429867532,1.6714496327359796,1.658768562414715,1.6635483386767034,1.632317576774342,1.7077897204445012,1.6662599658108426,1.653660697794576,1.6739162542861703,1.6806816021928308,1.725303371204096,1.7276080372272637,1.9023945454504667,2.199084095126313,1.8408272276676858,1.918207299067497,1.970762845415063,2.037444543332993,2.1338383091560527,2.318909725724721,2.182293439005301,2.166736846642584,2.3032363693986326,2.3106084563607445,2.232085053980444,2.3326802742063846,2.603536506089497,2.6064530201428533,2.364078239044685,2.5955948367414927,2.3182612436302636,2.407143185418383,2.32996544991276,2.1880574727121402,2.1961371508732728,2.2209124468480184,2.2150029553815154,2.1866704110412276,2.087705654739515,2.053269616921467,2.076714741684747,1.95222754135699,1.8832308813697414,1.8220436569465628,1.7919618292022412,1.829957307058099,1.739249729541572,1.7761200201127978,1.715581055372312,1.7802508586332593,1.7958827277435474,1.829484643340658,1.9182860545320415,1.9608852961604952,1.8280139225766954,1.860408122064402,1.9670833607357638,1.8790897691932054,1.8382505309346104,1.9700305494126908,1.9639860147429895,1.8571078349041017,1.8850404096002713,2.1230066027097747,2.1100590836542072,1.9434627090263021,1.941605532867312,1.8451369461597231,2.2345678490059133,1.784277720874597,1.748223778462158,1.5509336429687253,1.6387517682888728,1.5065267670025948,1.4153708155952902,1.5352905798261685,1.6480600698713386,1.8303564595531054,1.9800267932024282,1.8752045356609304,2.0964192553736503,1.8543326232005006,1.806412837212253,1.9560948349964882,1.8954180013756377,1.946274332033876,1.7965877425360621,1.6904692120305176,1.68457025588772,1.8247170850468442,1.5359313044951861,1.4741776439976053,1.4977280861533238,1.4662228440552303,1.6918781690585778,2.308119282010469],[1.19888014559643,1.1963253776616773,1.2174672471880321,1.2796143163297642,1.3405770039860911,1.3169954819358811,1.218277826214963,1.272209859105601,1.1919143107013639,1.131806452208329,1.1224608062284829,1.233567590914021,1.197962103183539,1.0775736670586924,1.1254314722344678,1.2014207425949395,1.1943380444897005,1.1660053518633744,1.1656160372734898,1.1776886705421006,1.214030782327029,1.2817748307600343,1.663285507930614,1.811871682082463,1.801873547181092,1.2537728969099335,1.2233758149938099,1.175525874922042,1.214944332515706,1.2344529753337081,1.172110185821646,1.2632526492978184,1.2940128130575175,1.2750741717389151,1.2925632026111122,1.2338017659055138,1.338542711523475,1.3344046338369133,1.307415547184279,1.514888737117082,1.4453544464338486,1.3255875029694797,1.414948852226212,1.605592789647412,1.6240588480652207,1.9659781867421835,2.205220521967005,1.5585587689744802,1.5515966427853338,2.071596762946433,1.75404952392751,1.7820371547787872,1.8144434574981878,1.9951766368669976,2.9285231191445336,2.1943187532266704,2.079008826405645,1.7058669202146084,1.8587780271441248,2.793483456108964,1.6246589940383367,1.5564123560666014,1.5678176161169353,1.405474526316321,1.3558651416948075,1.3280997593728483,1.2306479360832387,1.15418668867002,1.1585312475521845,1.1601056448661273,1.1976008635503819,1.3423164448747438,1.1772934824931576,1.2667996818414582,1.1173390735453572,1.4080264639649482,1.2473405822594663,1.228892032690113,1.2702986232896583,1.3085599951160438,1.4117392493897167,1.5482467156562485,1.5413915994579441,1.6300643358747953,1.4918617301241486,1.4310863411312928,1.358727972225726,1.4609795362969975,1.266298730681045,1.2946674682068409,1.2076756417153378,1.1931844961774443,1.1790623759081664,1.205183386969803,1.181011534158239,1.1454063672894645,1.1579025725778964,1.1915182446064196,1.2342057622856206,1.352356420645406,1.294636807191472,1.439076061899016,1.3998505512284367,1.4740948539905268,1.5688620621868261,1.5174723370405359,1.6338494770356997,1.6284272106172575,1.598217175487704,1.6223493794932111,1.5487293923678256,1.4640331888607854,1.284526420483244,1.2555477842517353,1.152034390293348,1.13783284429193,1.1647820184673956,1.1204990273527122,1.185386129975702,1.1001965020268203,1.0624671935833057,1.106960332187513,1.067017370198899,1.0370011180404775,1.089224913984344,1.2135051407870114,1.365123596316441,1.402437231410888,1.456787535962867,1.5216102036517893,1.589781109886073,1.6498525598555551,1.6639931747980052,1.6124554555186519,1.5636122163050388,1.4731082449919368,1.450324828842382,1.3511842589430376,1.2461800764223012,1.2460616943717968,1.1933919221995692,1.2685749168063845,1.1625500298408744,1.210612272697593,1.1871521339513371,1.2717125628042096,1.251637542390326,1.2618260635561722,1.3175086591547582,1.2943040492071902,1.401495781561113,1.3441532135190357,1.5020068486785296,1.6537731354448613,1.4201779163918442,1.3773508095417155,1.3367769052960474,1.4132006443670921,1.3411623724519863,1.4089933308049398,1.3831234786248157,1.3534615068784779,1.355796067007718,1.386581529442179,1.4253595300727662,1.3561703897022093,1.552765469919588,1.6351801566235604,1.5967694797215,1.4633512712575851,1.4789187892794315,1.3958676424023935,1.4567970112295066,1.4874002436023175,1.4676585396326534,1.4542471338305016,1.3956180168861383,1.4517751568720265,1.5045842213734593,1.5564515254231386,1.5150061655316882,1.4836739226094986,1.560706680100534,1.6402579360695562,1.5978731204534462,1.5902673933692473,1.6530090161851079,1.8650473770999563,1.9328444102748585,2.104387677426724,1.9199713729782906,1.7507877650418746,1.7737982960571994,1.7018446615324103,1.8382909847614668,1.8757164256646774,1.8339582652728574,1.7715261253931107,1.7433011851298335,1.7225082743300233,1.7418559654440737,1.6863020358640939,1.6609013898267406,1.668342060010896,1.663630573111265,1.6191918989850644,1.600109022707384,1.6121397168367329,1.6226743227263745,1.5730910535255094,1.606842785544507,1.6188012316139608,1.6080348610137827,1.7616890974612285,1.6885695254088693,1.6468794827128432,1.694561064641089,1.661351600251255,1.6324046535874965,1.63806621782307,1.8004214288664107,1.950210816810338,1.7526267500728074,1.669339508567374,1.6171704630028,1.6535956012926254,1.717519486238332,1.865899128021546,1.758480700821957,1.7481594611864832,1.8326788038152797,1.8387381305084742,1.7823177282571574,1.8422496099785384,2.0466075447629466,2.1388085952035354,1.8793058527858628,2.0239752128693054,1.8395998778772926,1.8584040657226888,1.8123405397630095,1.7450340587573145,1.751453800420099,1.7942397812515187,1.7800804618083248,1.7691495318037174,1.7425101461552757,1.7056101457338273,1.7267619913102503,1.6512800393016775,1.6258307167506556,1.5963895023999715,1.6010771075606112,1.6341282383396534,1.591553352219829,1.68712212145305,1.6207540269525278,1.643909826374814,1.6333956703820551,1.6048756844417085,1.631079864481381,1.661761929586287,1.605022803561524,1.6349090068207879,1.6473321536901333,1.608016231375139,1.6075287957779076,1.6397928747620198,1.6202857321100534,1.599378695959329,1.614868031095611,1.745862505011219,1.772957405884919,1.7364954723858577,1.6992740857806357,1.6669379446785724,2.182772240061964,1.8441753740010793,1.740245539846957,1.5668494680289804,1.5570301532445254,1.4661117604089002,1.449652897893476,1.4652603922486798,1.5518755715879307,1.5797314977775654,1.677183408622153,1.5614709546846979,1.6658437056730566,1.4664899347275548,1.545580653336645,1.6234414656256198,1.5972864667727718,1.6399643623519673,1.5291509455154717,1.5011984481855003,1.5014271916200064,1.6196284224869033,1.4147723437722446,1.3822713837318226,1.391211575842754,1.3946118998516992,1.6188246768047958,2.234358182835234],[1.0234515384640681,0.9460858238706117,0.9675105757872826,0.8762491851751619,0.9886029406044073,0.9745582206307586,0.9352696250018623,0.9801236723520654,0.925391353643099,0.9459769541223473,0.9394587190850464,1.0115586041184224,1.0676706176189168,0.9666841795969059,1.0356607424648872,1.1403017366451054,1.1741388341660186,1.2033656846483893,1.269414632592179,1.2958512608541213,1.3428339190155556,1.4337370603775172,1.7774518992598236,1.8855596765626326,1.8975752770905694,1.3806574527156037,1.3577205532264607,1.26599136259009,1.2625274008135097,1.2279973552999999,1.1532817341472248,1.206064030241904,1.2253187504907375,1.2551488549560896,1.2933849167963234,1.2751606756628793,1.3476956325209832,1.4218966346901925,1.4345290097733887,1.6640033721075984,1.5983919436108391,1.4722266022618113,1.5703704895789217,1.7495992959414437,1.6982134172891576,1.9445096944036684,2.1415203900975466,1.676216538738575,1.6648809039029555,2.0859166050167417,1.8301553057368767,1.931482333514044,1.8782517137066368,2.042220351022082,2.8694220666730326,2.2461617535488836,2.208331549527905,1.808227214166373,1.9579707850065011,2.9201125890472053,1.7585743273184415,1.694188251733144,1.673216363733488,1.5739102718979847,1.4938147200167546,1.473130506980442,1.3481047717929686,1.2497382631676888,1.2614270947445272,1.198453851356546,1.2550524856342722,1.3840156933551224,1.23392371782607,1.3635243622050923,1.182046762108806,1.4602769738986336,1.3443218606199798,1.2949632700733236,1.3542757028761443,1.449373061690653,1.498608285684902,1.6452945712743956,1.5762507717852385,1.7098757995206386,1.6227838226339122,1.5124250807575688,1.455988316298433,1.5209428647996912,1.3491008592216256,1.3233466511421537,1.2358552894200692,1.2240771348968666,1.1615059999211808,1.1544585945694463,1.1122712081496031,1.0515872321033395,1.0497915177044483,1.0720202535874805,1.0673197546943638,1.1108105996599775,1.144730053161273,1.2354524618238931,1.2958054393417626,1.3209530766489532,1.4760186057604958,1.3748880529032008,1.460869189924505,1.515897335427577,1.3565410507350466,1.3607802869223173,1.2499158795038683,1.282676318311043,1.0996553225528294,1.163499724620808,1.086763550982078,1.139135791802976,1.204035205109851,1.2177603610390417,1.2779346890953214,1.161978468877725,1.1089063643386372,1.0974605411768212,1.0685839937119481,0.9870651122244447,0.9485856113890696,1.1173926529992235,1.106962789448213,1.2417050090130228,1.3105326342704675,1.440229404050144,1.5145236321502002,1.5842255762700082,1.7086541015706618,1.6173409327020403,1.6238855391144302,1.5500653446403316,1.4748252337810526,1.4133990529679819,1.3098011136926324,1.3531698721669965,1.3622469769662207,1.4543550450553864,1.3273754896426304,1.3399647340723808,1.3161413778098794,1.350218982392415,1.3011084135969042,1.2330679600063426,1.2312341791829913,1.1169684612664486,1.137684604301702,1.0527420833770829,1.1899332428917024,1.3174975104668374,1.1578950916723254,1.1206591081854684,1.1361022111996555,1.2025174587268737,1.233743107943107,1.2907083958947236,1.3837424304283499,1.3929426099155604,1.4497424175668572,1.5157861271553768,1.6012827446927624,1.5827474362350022,1.7526248962827202,1.848760325518394,1.8104027131712925,1.6702570567513353,1.636869878128858,1.5277799469499447,1.5829995685170197,1.5659165895322786,1.519943442656455,1.4539369262280806,1.3885064041622666,1.4536231985545056,1.566693512148706,1.605862659027401,1.6290498032161809,1.4972661924124155,1.6510195479139318,1.7730343731819838,1.7583205865736988,1.78392684324959,1.8229794369278518,2.0328890613122343,2.0869055536750856,2.3117372877194335,2.125686573435255,1.9297740339240508,1.9452009059987925,1.852599546795443,1.957440453861309,1.92834821596775,1.8183717546699676,1.6633041805138062,1.4651900772413664,1.3950330126721353,1.3072024143996146,1.2239687422245287,1.206404155871521,1.1342244641692825,1.0928129251835201,1.0579565126637644,1.022287963216773,1.0237686646043163,1.0278344644129336,1.02516080054049,1.081525398002028,1.1066474658635377,1.0984826802968213,1.2993296218803285,1.324053181903173,1.3073603448657434,1.2390395822205993,1.223236343322062,1.098066051288016,1.1032622413347222,1.2383082202742444,1.5247889868047093,1.35311463985099,1.4357275299365586,1.250134497683839,1.2578358743540747,1.3151507298178933,1.4690966676568418,1.4094115570938774,1.3552705657884596,1.4556208385676241,1.5630002399318859,1.4317298036537152,1.4819151064452432,1.8162702426669168,1.826249013424481,1.5228062561299756,1.8375813027594394,1.465912887562217,1.5999174229716946,1.495567201747033,1.3268645555002794,1.3525192337103218,1.3580103577695843,1.3532172561132658,1.3287442072423374,1.2172867890392887,1.1912656447886474,1.2169467577638564,1.0965619699038873,1.054561409969208,1.0378956530971188,1.0283779361813183,1.0860168349465378,1.0544607679837628,1.217263750450313,1.082861537264459,1.0938662554054306,1.0724665456985463,1.0619274253368152,1.0847411375815308,1.1209685054531355,1.0842599528395342,1.075444170061019,1.1396020962657127,1.1224810951820292,1.1291521399439488,1.1275492842603738,1.207032089306116,1.342179246335162,1.1107718164842812,1.298041340529164,1.3342652885790773,1.3835196097357711,1.2155420544029119,1.120911759122459,1.6358211844390265,1.5234177138826281,1.4471690220129525,1.3244601331283439,1.0708536559121247,1.0857218464973115,1.3412348204184923,1.086252496837,1.0825194317636124,0.9516628328067879,1.0841064919472203,1.115848201869937,1.302876959236116,1.1619757784097031,1.0653094117144999,1.1688638146940276,1.093703864085943,1.1958438176779345,1.069342379229312,0.969410426624084,0.9611542316929883,1.1599957721244056,0.9425759667979096,0.9541177530449613,0.9322623652471566,1.1561134806593232,1.4299155538775319,2.146733985712515],[1.71160373361364,1.6467182995574352,1.6194682453862848,1.4674730099743973,1.466743251018333,1.4759291900607578,1.3127491000526537,1.3836949604919715,1.2816994118731795,1.1722317899260735,1.174822751627222,1.2908027953782812,1.2154687113785774,1.0922311484885432,1.1374709938560454,1.2288859710378977,1.1915723907813645,1.1771327031899461,1.2503271792665493,1.1841438331408256,1.210474268997095,1.379611305371728,1.6126663007094932,1.728746525739087,1.6449236223953718,1.2195096515277342,1.2513521653144593,1.1863516917958348,1.2354775262760525,1.2508920166176865,1.2111569827081399,1.3014627289588179,1.350162091890873,1.303392997346143,1.3245219308280713,1.2486026331682227,1.3660573486619507,1.3687144366851327,1.3324101254813154,1.562182007320231,1.5177525999293773,1.4084228155610656,1.5070254100333615,1.7612710187013334,1.6781788136671083,1.9007397443415688,2.0916248830768893,1.5845965878784583,1.6336418113120719,2.018883329786639,1.706449887338809,1.705720076749354,2.053870778201774,2.2193667947579057,3.193915452031474,2.4627171178413536,2.2834831895433036,1.8044550623519047,2.0474215210860955,3.087908120173697,1.8280186163184537,1.7195901939292522,1.6875760751449427,1.468561720363916,1.5021644913757308,1.3516630214876653,1.1926039330833131,1.1714629169544684,1.233198814272846,1.2023676514953885,1.266776684028093,1.413875018425734,1.2622993379175922,1.3516171304692586,1.1470565179102816,1.3524147103517288,1.2803668283765701,1.2748437535059363,1.3186087512473605,1.348183358330391,1.4556611383987315,1.5710058487747611,1.5581384721572265,1.6914075072980144,1.5133076280938027,1.468198696738481,1.413101618706996,1.4882230810800716,1.3065262393573271,1.3433287686943156,1.2465415047899457,1.233236274604716,1.223046863693426,1.2358970370195625,1.2051623497327881,1.1770351416985467,1.1834080202700878,1.2374130339702756,1.2996384265483978,1.4559292194485962,1.3626936238144818,1.4980441734256995,1.4510274188029477,1.5721973187521794,1.6386090035326675,1.5922797634023707,1.7085219317334717,1.7206697848315633,1.721048490409449,1.7191198741122447,1.633794178939963,1.4959813566367146,1.3227153115837815,1.239510164334167,1.1442323448485,1.1148967484918717,1.141599471711655,1.1184127052000676,1.1889172072654175,1.1212220082599114,1.0766455976582545,1.0820477321022932,1.0089863592779202,1.0100885826101969,1.0953508047222178,1.1745676278358137,1.4129908032600402,1.4196965921082225,1.520158193135329,1.568513664396449,1.6396866417943023,1.7467606707875407,1.718031414500731,1.6769110023283091,1.5771468632614536,1.4257475707576956,1.402318396870585,1.2764959362351735,1.2052081637221725,1.206423504453765,1.2508181639365903,1.3293382201057213,1.1971120790236827,1.2221430217021247,1.2337908512909588,1.2652269585550595,1.2255422521341204,1.2509063554524849,1.3322486512958887,1.3240619097481656,1.4713929282086546,1.4755644664268668,1.6376979380307468,1.8275133010381304,1.5767627069663976,1.4800689737661195,1.4129500023897383,1.4819951028390375,1.3893039000998069,1.4582454272213328,1.3693615161118045,1.357728033512398,1.3342400029711168,1.3991504006116082,1.4204315620550487,1.3303281622474237,1.5573260271923184,1.6543727059946962,1.562652044187906,1.4487778379379688,1.442842767982714,1.3577866735538435,1.4474899430021426,1.4993665769381894,1.483813319826328,1.4914823991704418,1.433308864817854,1.5137114051201463,1.5305011167589255,1.6298858212736662,1.5452237206365784,1.526245371778624,1.6154860094661716,1.6948770837267975,1.6331412098784284,1.5921539222647618,1.6783164285413787,1.7599660259733452,1.8348062593033714,2.0821837640045127,1.9208075063845214,1.8182437053507756,1.79670588473856,1.735369828785296,1.8805036634480388,1.9267048265034379,1.873049279263788,1.875186181354082,1.900705263132615,1.8728263022935774,1.9524179713548444,1.901560331306652,1.8476572127591389,1.920531781164585,1.9564471168501,1.893866768604595,1.8790819170139894,1.95804238575636,1.9660221921806813,1.8919055644393663,1.95699717703448,2.002976170066012,1.9500857235961107,2.0308955578595618,2.0785845198241275,2.0692662862590625,2.105801097833756,2.093627008173508,2.066483338072634,2.0630939215093713,2.0880622968509406,2.379880016392646,1.9937903254768703,2.121831701759771,2.031428347947177,1.9933591268049389,2.03192811005201,2.1154902928117374,2.0966747394892202,2.07214085323373,2.0123731028357397,2.0405124692792955,1.9983443845783322,2.029259123473104,2.253551699169081,2.3256019249587823,2.034324929654718,2.1380704050789814,2.0121138667558345,2.0319242095400405,1.9855739239737706,1.9877666069820055,1.9483777314362662,2.0385343663970845,1.9766680905317038,1.968558209932498,2.0156238419368906,1.9535625159359151,1.9413827081099109,1.9406417854754205,1.9433360851818815,1.91270391659615,1.9347537429599049,2.022459768392008,1.9771817863228862,2.07413968683307,2.008475868296189,2.0648428024859333,2.066275612752873,2.0375188188640885,2.0034867632358946,2.0130308010929516,2.0510891445616672,2.042767117956639,2.0090123672242224,2.0268402972388553,2.04885821562927,2.0104310418638,1.992842942158021,2.0835184551551365,2.032821900549075,2.0571880249691183,2.021422038704273,2.034409093302005,2.0657625480714454,2.097113690996983,2.4787280490802344,2.214950093035307,2.2816262553187014,1.9806768780930175,1.9327725882296187,1.8127665912415691,1.8347649423928274,1.7780782906340575,1.8725068290700142,1.795326906754992,1.907818795547304,1.7273220946028642,1.803644049528288,1.5661998355759756,1.7143044274023869,1.7939150139317073,1.8334068279027982,1.9042154020401987,1.7117019352722334,1.7665441043389483,1.7583525852783084,1.782174287225048,1.666126720155798,1.7281755557755503,1.7127834165440554,1.7082366607640396,2.016739171569578,2.633489258755937],[1.713646287822399,1.6201926569102922,1.6881405022204197,1.2797858290196082,1.2744411925994896,1.3029658059748146,1.1933030272366025,1.2410680117742043,1.1742730792838432,1.0808905111219058,1.0886478919833664,1.1491154546518287,1.1372160087238314,1.0591265405288055,1.1136639395832575,1.1906556998992464,1.1932363827948798,1.1919312055926836,1.2792062204910357,1.2689418233727172,1.3377636705400722,1.4595893298548124,1.7968978785741645,1.882826139256471,1.8087060683047185,1.343873944710106,1.3230786520135547,1.2410611970068557,1.2414468219268793,1.2483549617586216,1.2033939657795079,1.2785180472903979,1.326467851627484,1.3135588861736436,1.3406293553232929,1.27963570574006,1.3689053602784698,1.3904521781579715,1.3974148930828894,1.6901549219382008,1.605905711737122,1.4755894158288074,1.6242077657417073,1.9117017701790657,1.7425020950850598,1.8449481408451223,1.9499375686064016,1.6844432352726235,1.7173349096654678,1.9653507001553505,1.6932782533186554,1.7979747974877833,2.2391966769764498,2.3579631976567486,3.283514523921107,2.641953920576104,2.4580493324824393,1.9047163311200968,2.1960181458371655,3.235146657118469,1.9074671654120607,1.7970309491105942,1.765390536743649,1.6020949873721226,1.6012033068413338,1.4446409939389093,1.3070752380058361,1.2374403469820148,1.2668434069280703,1.1885458819351375,1.3440444291517963,1.5180041391428059,1.2724688836497655,1.3186231734999134,1.2281006043024836,1.3449545082320242,1.318071734874417,1.3101187645689976,1.3575898787099456,1.3858164283717929,1.5172624724982948,1.6454474416391105,1.5923916772993432,1.76161515267186,1.611176341137089,1.5169353506613588,1.4592166688996533,1.5417707007892767,1.3399151872731718,1.367851700863278,1.247751930941323,1.2397157290962115,1.2074742526009195,1.2099520961102281,1.170785078114731,1.122514749720268,1.1391568226688051,1.1912685674915877,1.2139960215132448,1.3027701251484072,1.2808848978788767,1.3699495035811748,1.3722467682886956,1.4338526818111685,1.5087190642296568,1.4463086159972416,1.5761124601630658,1.6334434213652407,1.4964764841598952,1.49679993219309,1.3794674447639483,1.3051922796237503,1.2179474603062859,1.1777025710895148,1.107491960712366,1.1066717313740186,1.1661418347912442,1.2058930359492124,1.2794904403673455,1.1843540052560024,1.131370582769883,1.0748099902311934,1.0134450832905002,1.041354027265857,1.071931695099318,1.1285881046470918,1.2631582305702431,1.2990781962945814,1.3944912729860517,1.4767529529403454,1.5383025065977696,1.6782638158165049,1.7430738027793584,1.6678291445705649,1.585311592431169,1.443213414412253,1.3801216204369444,1.2756500553012928,1.231331537585289,1.2560770849662513,1.3633946370819887,1.4523268563287446,1.2910442470345094,1.3005622676550779,1.3138154732067586,1.3160273938372293,1.2652974770217778,1.2323823546617065,1.2605328579043218,1.2056987171396685,1.3012066036705885,1.2728471889243724,1.4491474086813614,1.6321674341169363,1.3958557391512467,1.31675664985325,1.2800947697586165,1.3330698784762718,1.306103979775187,1.358810034650081,1.3466200931672248,1.3817904003384305,1.3775586452612443,1.4673263519486037,1.5275171302465715,1.4657561519956606,1.6992867293104983,1.8011068285859584,1.7006353725470522,1.5531513769956873,1.5175298832822834,1.4020134416263357,1.5056344842990317,1.5302541315838072,1.5024034751041897,1.44748395229579,1.4099226711177104,1.4712561333729361,1.5668221587660014,1.6231155490459857,1.608086432585622,1.4871538900689072,1.6556986771490194,1.798684417067151,1.7588639581256746,1.76149286488782,1.8543469823273582,1.9230654512926766,1.9070374728900297,2.235914929955854,2.0786915723322243,2.0079656902335823,1.9834752267212203,1.880825760037171,2.0154571302058097,2.002219839355843,1.8335034280322344,1.7760559906401108,1.6524525293336165,1.5768496400215652,1.6340687725060803,1.5695668107836755,1.509889131671887,1.5507887672166651,1.5821386320228326,1.5519396722500503,1.5727586095077422,1.6259168867347507,1.633362676347161,1.617066057855905,1.6986164965956447,1.733432651720768,1.6802745144105395,1.7561858549796305,1.874944794302462,1.90602704431426,1.786914090402912,1.7916670488715172,1.749102998412995,1.7462908205010006,1.7175819536966892,2.095312782355915,1.7864510634765072,1.9280260975794954,1.785402700492935,1.7283539223987316,1.7332917829586494,1.820040676337889,1.7921160363667252,1.7706753995394668,1.7548202815261849,1.8278599554615633,1.7319798525884642,1.752593895455263,2.0587188574988855,2.0226462719971945,1.7404410193124917,1.9708452324067292,1.716340401455779,1.79617139478569,1.7611881079941674,1.701206886051863,1.6891529829756657,1.7004501382830925,1.681523312332969,1.6593223771868069,1.639794397031826,1.6098298889133433,1.5898964681178234,1.5771067509598853,1.5866215394483534,1.569097645863876,1.5871233967536431,1.706196070008816,1.6805223550580497,1.76878385587095,1.7496712277909123,1.7595286931962968,1.7345311858166252,1.6830311096450001,1.6614256549503268,1.6732581387224499,1.7072688646093015,1.6730481089870923,1.6715585178263352,1.7034536972968983,1.7403384054172768,1.6557830673504261,1.7040061031768259,1.904328720113071,1.7088348021365167,1.6807250349708678,1.7130662306212392,1.8536208855792518,1.7321474565271562,1.7647210022795077,1.9573240455229364,1.917082539356717,2.01580540591016,1.9872094227774282,1.7696991710095622,1.7581424409327193,1.9944432341812497,1.8544197474268067,1.91228466292434,1.6343848651469612,1.5438188809625326,1.4522255414790135,1.4896258156349351,1.3500375117998336,1.4448906734369584,1.4744296386139766,1.5290615409463792,1.5890168267577396,1.4097205816508263,1.5035630457340747,1.4761737485129396,1.4726724855567936,1.41075499592756,1.5441936918721801,1.484494678894741,1.509786966374808,1.7071401772648938,2.393818010658926],[1.322528392736488,1.2369780660612129,1.4331742212405842,0.818095328021166,0.8589418929099215,0.9215554632704522,0.8295269159811747,0.8884676032268888,0.8426481368844247,0.8298936477206995,0.8317237850889312,0.8861625822847199,0.9695374774472393,0.8845915956425306,0.9809324996573474,1.0731273986195944,1.1217497065677409,1.2216110772342443,1.4004884849227741,1.3548690282687776,1.4196537409555516,1.6795184982298692,1.7187262474580152,1.8338650553592801,1.7384641232403764,1.437541767073615,1.4657530604115414,1.3011967646013571,1.2551856665784378,1.1642271554866614,1.170215940592578,1.1200344810072442,1.1455279843334436,1.2319467453081434,1.2727051764340893,1.2703515568083534,1.2851558774938818,1.4839934744385987,1.439627367242461,1.6363315864149632,1.788272892128292,1.6654627060956206,1.8178159580745314,2.1582986257888317,2.102262971595135,2.25080448424737,2.361683406042339,1.9764967947864003,2.074934261090032,2.276500786604558,1.976944697212832,1.9463831011195927,2.3929599200550573,2.5279431759177347,3.428253391121391,2.7592415320903276,2.528374837986533,2.036927280377608,2.3044547083442826,3.327399348809262,2.1131092524046684,1.9973994634310048,1.9237705356699464,1.74984070002303,1.8032722900549167,1.5781526524502547,1.3881594091292893,1.3220949800496498,1.3882191869982106,1.2415649114459495,1.333201649412247,1.4938185159113755,1.3119513339857698,1.4821517195379923,1.2863565839461288,1.5097953422441106,1.437664375387562,1.4109452365969892,1.4484946992261074,1.505712406607225,1.4565121970309043,1.6056740941222938,1.4779396322064366,1.5860595899303414,1.484646669150833,1.4411683392917256,1.5111425380230679,1.457305330294448,1.4046647820910798,1.3951211734647435,1.308342011809411,1.3172726401585713,1.2458750126380225,1.1574556410253232,1.0745384367008397,1.0078601890213488,0.9754078387893275,0.9757896560605825,0.9626603542604465,1.0026539928500504,1.0730493566556796,1.1211017042472788,1.1452218388956148,1.1384338326360215,1.3532983309024886,1.1743316896241525,1.1950195236974133,1.213692815800569,1.0839029149179666,1.0924071610372572,1.0034107424455034,1.064921173900327,0.9378651361120096,0.9785003491241057,0.9844692653613376,1.0720755296501212,1.1989363616820292,1.2326741313847631,1.3502010267237237,1.217289917283107,1.1136953235973521,1.0523980150016274,0.982931292619623,0.8930560827856573,0.7946395143566076,0.8960783298393846,0.9279217355018253,0.9823659965419245,1.0203333616221806,1.1516897064880105,1.1112092976298185,1.197666830029561,1.3459657184838012,1.324926746407892,1.330922310159266,1.3321103135261558,1.1866326649181602,1.1718252831405678,1.1522440549243003,1.2520169788637159,1.4432444004001248,1.580878831842578,1.3854631376180409,1.3718267622451936,1.4012625476155594,1.322206893240687,1.2311043941542026,1.1021594414040412,1.0798372594347356,0.9637397744112884,0.9743492848993577,0.9031643402684754,1.1128372052649282,1.1963886552501135,1.045749495069334,0.9813497940752798,1.0062188510427694,1.0621642725900495,1.0933943403217228,1.1468696346209324,1.219015225609711,1.3231067505081697,1.3615984399668473,1.4547559885209769,1.4759639721491076,1.4835327913922327,1.5943077650197617,1.780460209063442,1.6181432649335001,1.4774575937205225,1.4049414283982793,1.361063728623418,1.4171431409674464,1.3953482819025305,1.3619237879601014,1.2904381757581262,1.2670330121838778,1.2966233165111094,1.4349377034120565,1.4752609469649463,1.4201461991812,1.292698527657888,1.4457598057014671,1.5521896065576828,1.5067666382504976,1.5608407325779412,1.6739213226631655,1.73687516580583,1.7328904566273164,1.9253183932356694,1.8787835153376349,1.7206088885623738,1.6726241576717302,1.5766650704083902,1.5584715844180677,1.54434869300724,1.4075190803911053,1.2512234871965893,1.1840253928454731,1.1011547464051177,1.208506699787618,1.1150893506905954,1.060174502945438,1.1747753639647969,1.2191194950602817,1.1485428066176488,1.216643618581187,1.3235943996146817,1.2809648696768967,1.257058435486438,1.3773648320755787,1.4160183729755143,1.316400105579339,1.4177455524582023,1.5859820147694008,1.6630490802188451,1.5195114687984859,1.5954275618737532,1.530985970492982,1.5415931297476808,1.5922185475806998,1.8739733987988323,1.735434713042296,1.7563431190351375,1.5488192143011303,1.4613542631084617,1.357884083259542,1.4949140657653397,1.524076292221644,1.4743047626466503,1.4158903173414428,1.5659562925853456,1.4801182560696655,1.3910777811399064,1.689678849309307,1.7014362643104688,1.5260157310432882,1.477355661899204,1.3165601638176483,1.3557653624686556,1.312055266663556,1.2843942304865632,1.267001084473658,1.292489064653746,1.220593766043192,1.196032908398798,1.228127779747434,1.1650122334963968,1.1243085630767675,1.1676174264081327,1.1793985350722658,1.135767329406614,1.1750713716058727,1.3469313565193117,1.3094949110647796,1.4022135781203051,1.4211803640471925,1.4478771548240998,1.440074459563503,1.3939958448183487,1.324920482934207,1.3764260067661556,1.4597605815186696,1.3873395856547257,1.3797720257633637,1.5087433495457336,1.540584966933497,1.4094176735893247,1.544647429157357,1.8062103685126034,1.5691079701765056,1.4953416167618496,1.6971512412852652,1.8423344251234453,1.672723222632344,1.575150604292327,1.9055825339877042,1.760578065946451,1.8225165411980855,1.751600469246678,1.5072598944032554,1.4572861104295554,1.7843040539199375,1.6206395267580742,1.6744675528244268,1.4190768096938036,1.242283571142235,1.1018552217383224,1.0361620513105518,0.984918688748874,1.059533767801364,1.009162811458581,1.081730184469631,1.1162662103913579,0.9680253530492708,1.0645325345809404,1.0209117475512315,1.0430490460852369,0.9522990298603986,1.1963821437285949,1.0667517305537308,1.2952571157862476,1.5483615311988832,2.530337711438823],[1.3130204002145691,1.263563022668655,1.5602300038392007,0.8031624774198006,0.823040725008279,0.8823727234627965,0.7351232486725907,0.7812549734256632,0.730063835607216,0.6880231283790098,0.699288199589227,0.7628305005249967,0.8091091329320218,0.7441597236398044,0.8324500035858022,0.9152181910554787,0.9812909706910082,1.0534254745663691,1.232551169368749,1.1626108225456164,1.2526117897451188,1.4068963080890622,1.6666474834582818,1.7770886159256687,1.7065903924423558,1.288112079303416,1.2530991956934001,1.1240208731632115,1.0790451550387525,0.9846303331456714,0.9777293741595808,0.950684019735622,0.99108506195273,1.0431323488545527,1.0698422660304543,1.0755475854459509,1.093377369674917,1.2482771082318005,1.2297658574854304,1.4572673144087869,1.5257503158642858,1.4044885400767122,1.5355661165951529,1.8647528483057678,1.698179607844485,1.760432910911298,1.797690320369284,1.5723611235811261,1.5944694936008084,1.7782385132421386,1.4572422769979867,1.4952512046031057,2.016603864536096,2.2344271907078594,3.2017001418596034,2.5286098375656625,2.3778979888678777,1.7675758306033156,2.057359469406612,3.180686450819061,1.8449544448353241,1.7347670414721783,1.6688886617000664,1.5134735416757488,1.5583808355054218,1.3504384321304188,1.2096428473163894,1.1239573570241521,1.2099501968766486,1.085020528905228,1.2368603426014853,1.4271310338430772,1.1710750173828508,1.2815375797738082,1.078792520835064,1.2711598648074274,1.2004786350478167,1.1568375359112355,1.1893576745963341,1.2087523506785243,1.244134161226324,1.4026852584454241,1.2606259205226626,1.3979728304506251,1.2846600746026415,1.2380026272762585,1.2705115083253655,1.254985012748406,1.160332956322281,1.1556352462404127,1.07779197701363,1.102154249107604,1.0369944811821235,0.971005114385906,0.9087517965311809,0.8462646597795709,0.8533907101325131,0.8260112246346295,0.8070642493832699,0.8504225577354585,0.8672082237958143,0.929895991768039,0.9345115369637774,0.9369790626254504,1.1080905842612687,0.9535573032839504,0.9972433930862646,1.0274355640798472,0.9159767071206526,0.933875202884795,0.8741994581518149,0.8932704242371202,0.7932672367427298,0.827486806713696,0.8228207070448776,0.9153136127511797,1.0266437243955615,1.1314179161462845,1.2399939520394962,1.0660764131055194,0.9942864015543218,0.9028416197714203,0.8399184685326828,0.7545021446573305,0.6730121602468099,0.7657630488337537,0.8200425818029026,0.8414929695837001,0.8631027485222799,0.9535634890558788,0.9373636293757982,0.9878098377345875,1.1260872493835479,1.079640299053309,1.1274504935437988,1.109656104373627,1.0093866793816055,1.0371964875437125,1.0761324221044621,1.1327283400277934,1.3635745183320283,1.4355113145345395,1.2444807891061898,1.209017414950104,1.193564789760273,1.134765255886448,1.05760850945319,0.9343233079697442,0.8954874807893658,0.8056093716109554,0.8223429486551532,0.7895233263990811,1.011367361037858,1.1209594739516786,0.9356248407877206,0.838460809282743,0.8474741270535568,0.8887803257685651,0.9014854453854995,0.9411037009191102,1.0006462449903801,1.1114091636700625,1.1824499236697914,1.2396056947154952,1.2768845298892826,1.3071920925035692,1.424248062488484,1.586317805107321,1.4528568301836042,1.4210569294761397,1.2594800065892162,1.196141805305785,1.203440702449801,1.1892361565090992,1.149195159475336,1.0416503689946655,1.0455156561551537,1.042160134317607,1.1914328659378421,1.2108595798828423,1.200541371419815,1.0279829246012988,1.1338566825885834,1.2684817492614646,1.3041250824441917,1.3935849984742354,1.5994785181870779,1.5480520183666107,1.6497923270784483,1.9175344283278082,1.7790742107897266,1.5619708282705507,1.5045261825784901,1.353786262487619,1.3994784911566416,1.3060456990796616,1.2004693567502338,1.0655371116088015,1.0468803463305818,0.9748217887384595,1.0831216014821123,1.0075818839291344,0.968581631628553,1.1356156307895127,1.1632223446168106,1.13289108091746,1.2637445508183707,1.342728492337763,1.2625207959818716,1.2753626347918883,1.406321460036393,1.4244511878814516,1.3336823046974111,1.4466015758185993,1.601706035669787,1.7211030843489292,1.498743705596691,1.5816518969544096,1.5080778054495902,1.4959871479787612,1.5193384482043644,1.711090877842364,1.6636955768989765,1.7230428562975306,1.427279127095453,1.2976103913832069,1.1913682725820969,1.2808058391542463,1.334904976761403,1.2887758785664034,1.2467281372756793,1.3891275776617351,1.2943114278165493,1.1860871385718539,1.4319150811456418,1.419045809258758,1.3540420028328708,1.327314268610892,1.1613456765680472,1.1812770374740027,1.130156334386778,1.1213628545412226,1.122069431910061,1.1362000099788867,1.0944815619756767,1.0611906350054763,1.1196908372280963,1.0578789698938653,1.0365856646461467,1.1061224340437745,1.1215836120423197,1.0829032514322714,1.1523864343255634,1.295312359801894,1.2734606145501632,1.4243196393469324,1.4001393965936648,1.4070189645558526,1.4031776113163366,1.3274876880451865,1.2366135527029325,1.2737954157770262,1.3820913311184,1.3513820737776,1.2799720664213154,1.4126071710347086,1.4965767679043342,1.3442200894356802,1.4026327309092652,1.7300237623418824,1.5493880858346818,1.372071380724217,1.5567639323044924,1.7123941379753438,1.6079906025372077,1.5547155478623391,1.7452832099664026,1.696860073755967,1.7140164812576377,1.7891039840852374,1.57249255267451,1.5362540064591652,1.8976282661010233,1.7326499874843215,1.7546534246883274,1.5130028248164562,1.2509654399839414,1.1153173101287988,0.9360963167691094,0.8855075890616347,1.0394663346800632,0.9168111440011377,0.9952767868982627,1.0247998654504447,0.9177785996575039,1.0438638961671693,0.9940158698998799,0.9949479846045558,0.9509517436844528,1.244314988585402,1.0769601621806828,1.357372859890514,1.6551317009081983,2.617384095489853],[1.1038773564729576,1.0818873627282581,1.3765855207479718,0.66611223548183,0.6868580576030875,0.7398187893387194,0.5970531804960029,0.6344972530770443,0.6007003610844959,0.5759018306456691,0.5848334307527568,0.6370203696350956,0.6730336558041911,0.6179878892663443,0.6931467740013664,0.753364417197602,0.8143949125828401,0.8816068469810658,1.0474844831195558,0.9564714124662441,1.0400780809430696,1.1776233695319183,1.426456708446012,1.5515847580407787,1.5570311108006651,1.0911272031352652,1.0480899640935077,0.9292787178981496,0.8915201891534587,0.7933150223794644,0.8007217389867393,0.7703646866280974,0.8022452954530198,0.8519657731938058,0.8612882601662474,0.8680724340594528,0.8901601803285476,1.0369529374630666,0.9963766643107214,1.1938511526279756,1.3048472188045879,1.1822844513921378,1.2954190847520393,1.6183276306152248,1.557449311881117,1.7387552365052483,1.8252761609685466,1.3956989424401276,1.4073206525858981,1.7149958594837156,1.367069761610146,1.4174134223136825,1.6541237965828057,1.9196389655043413,2.8683821364308,2.1741133487294926,2.0620661408765084,1.5568078963590715,1.7431258572049937,2.8422823722993615,1.563288074576832,1.4482416528840518,1.3852906215098928,1.2475536723066214,1.3246179237639053,1.1124539989941495,1.0245717299732096,0.9282779750834294,1.0331443441796937,0.94858012348234,1.1079956986607606,1.3265378136306005,1.0403315556794017,1.1476543839503053,0.8956352228422871,1.1975491391346331,0.9992052005613722,0.9466762385589241,0.9748839438327148,1.001857661848241,1.010959139263733,1.169706306010726,1.0496562695816334,1.1680904698618408,1.0669234116842494,1.0067107674156066,1.0373430719113914,1.0258194086239076,0.938577311673458,0.9396392123023828,0.881361323036643,0.9577079851333699,0.887552097570088,0.7966264281390495,0.7482944991632859,0.7098346982032578,0.7342002971861485,0.6756659636699847,0.6550073448880634,0.6990267343926297,0.7032075916996544,0.762154961734862,0.7681122487150951,0.7558656515047882,0.9333024320639217,0.7911195966905119,0.8286565379047572,0.8819237214781761,0.7585972951752495,0.788002490760917,0.7131960572079052,0.7353628930617174,0.6487890446305067,0.682044335157356,0.6888332644310808,0.7801622163529442,0.8741150357515188,0.9668416859065444,1.067601731731234,0.9049172893957634,0.8491177474375066,0.7787838742971134,0.7488902167553744,0.6540455166110523,0.5627339748570049,0.6446187571035896,0.6775942653163368,0.7045144405599679,0.7136560651827095,0.792710178493669,0.7788877901442811,0.8267296876265321,0.9336605883479239,0.8863074809066458,0.9128082712299799,0.9976690855957684,0.8729843918883475,0.8885770396713066,0.9128732615252375,0.9466155533156553,1.176542771152746,1.255429558828938,1.0383977665740076,0.996107502954735,0.9617339818712505,0.9266107863737761,0.8630153119803754,0.7549188642822438,0.7216087654313283,0.6561857086459388,0.659964112913467,0.6387130092562476,0.8573021633864474,0.9946697793487714,0.8304387766094774,0.6774196735983514,0.6775470118436587,0.7116014585083538,0.7283738777508585,0.7669405870045548,0.8005880548179648,0.8951867929815933,0.9652256264891439,0.9976303666099214,1.0344438630244608,1.0333340684313586,1.1450421001605453,1.3059704971751382,1.1872427481961174,1.151299754733109,1.0157575895416435,0.9741394915768735,0.9711692635965034,0.9570121610124452,0.9235382087719132,0.834004901294184,0.8512526762481609,0.8331730088004027,0.9738397508228582,0.9881778715174016,0.9679662706374862,0.8335557640115889,0.9256690173578334,1.0260806539690885,1.0412037202630313,1.1519078709419415,1.3365911168052724,1.458659530202743,1.5180862515990434,1.756161745384638,1.6001693130912185,1.2878284376277371,1.2897823886389195,1.1692729958237342,1.2572654294850936,1.1887640924801803,1.0386354945533973,0.9411679252293024,0.898771259492894,0.8232832001509718,0.8766165286374891,0.7859406970850538,0.7609729158692901,0.8903135225368588,0.9072651031995268,0.8865384665776689,1.0122758050203118,1.065219729434845,0.9876288814684965,1.0310266917119226,1.1442271850224905,1.1549591538596766,1.097771538630114,1.2416546654407243,1.3621561758261331,1.4686791844658558,1.246551830538624,1.3086601218523415,1.2061938569346926,1.1988824172832666,1.253188406074653,1.4401680228169482,1.4531360288906416,1.5450761727170776,1.1914754385548438,1.087735877835143,1.0035519960257795,1.118291953679663,1.153500317123429,1.0973935968895023,1.0987977289865114,1.249629219085236,1.140971463088789,1.038248761656412,1.324716590266728,1.3429243856271058,1.2126323511396766,1.2674434709876443,0.9980818481483648,1.031121409324562,0.9788022431161771,0.9220358361597769,0.9485399294252264,0.9440200729881955,0.9235940168554114,0.8749514817288303,0.9045535879395648,0.8530068830268398,0.8330789356138711,0.8649776402268571,0.874690636667317,0.8660617906201838,0.9087723338348134,1.0224700165294713,1.0248406940271242,1.2151579020637324,1.1344799932635512,1.1280743107239972,1.1130846500285592,1.0492857448536659,0.9648094523456114,1.013529839043162,1.1047607947857887,1.066688528227015,1.0233863525659161,1.140217455115719,1.2152597238261713,1.0793295298380632,1.1600306740143955,1.4713692216405518,1.2448993387852438,1.1465775928646238,1.3313671894630987,1.4454269587976725,1.3183175465558938,1.234889555232904,1.5189996069735063,1.4596117789746956,1.4196335643941214,1.5211842512619211,1.294866260460564,1.3090312547393417,1.7175236540578993,1.4179053999739275,1.338555140966352,1.0723233456540608,0.9205829885782509,0.883014923404369,0.7624613782953094,0.7280445101313311,0.8274656945924614,0.7262842643847864,0.7744463478787483,0.8335691114030077,0.7313279325651516,0.8212225432578528,0.7636320437467216,0.8365252029858189,0.7565815169549301,1.0178505136321585,0.9068233925953374,1.3358009125832822,1.5583024328352528,2.5446162199829034],[1.2106837071279022,1.2613550860741423,1.7002080023343857,0.8682347621666241,0.9138159236314383,0.846151702149349,0.6518935533148447,0.6778249193508841,0.6030918192097228,0.5209689993623362,0.529858712686401,0.5744823484662562,0.5933881749799076,0.5717813459045596,0.6460302625125055,0.6848700158663306,0.7599967548520223,0.8542366318813672,1.0815857953865984,0.9612481592871072,1.0665042945547871,1.1844981032611201,1.4417289117538423,1.5574100295727347,1.5882175201870112,1.150177949256358,1.0618816998751757,0.921057955393837,0.8459745679247517,0.7112904153320566,0.7449871136589616,0.6812925730066102,0.7119314549658763,0.7830094059986892,0.781325917264115,0.8093571024087974,0.7964354416362904,0.992793536557118,0.946269447782382,1.1150533439669015,1.2778682776614807,1.1806826300149995,1.2780574100924829,1.5939876201589147,1.5133231675241845,1.6366322028539182,1.6546182330136365,1.3275471905708849,1.2916399622097747,1.5841107931918186,1.2258961590579285,1.344118384543977,1.4890875513786959,1.8031161859336238,2.758956415158523,2.0905770181876604,2.0313195585651322,1.4782172320644915,1.666831928904203,2.8203006968966022,1.5254669565666203,1.4162759075421396,1.3197596397964155,1.2379148321094786,1.332585545867516,1.0997423826707733,1.0429057251388814,0.9340264395439004,1.0666718173042289,0.9521716267459044,1.1438845574517913,1.366553615865886,1.059564678828653,1.1614973172698404,0.8910423962817656,1.1626824751845015,0.9765300450767161,0.9047747489946181,0.9246931529716585,0.946823769331998,0.9252638426316466,1.0834916570002155,0.9526209772560392,1.035523097546744,0.9623390742289525,0.9085361720571596,0.9747828259618012,0.9344219204436066,0.8871992751597684,0.8789462025930824,0.834590539097735,0.9194680775841503,0.848695830534643,0.7381396675030744,0.6914517518949344,0.6698271451120044,0.69326893219377,0.6046657554103628,0.5853068499882722,0.6395871592108278,0.622791202360011,0.7129663552107514,0.6763195977112314,0.6947754125188952,0.8846517372863719,0.7654023410433368,0.8045766106958074,0.8728940139868389,0.8445478245319844,0.8234255272624086,0.754659127424801,0.6847258452274829,0.6193569065406622,0.5807199719395609,0.6163646596407647,0.7366884827258307,0.862903791157028,1.0307402560092975,1.1410728436575182,0.9214295515846908,0.8803929817898958,0.7637552933033761,0.7361433265118326,0.600875368002814,0.5149014912737927,0.5542625070716113,0.7297925739471545,0.6831175378232376,0.7398620914948855,0.7626735293763742,0.7971754629423655,0.8215557193145681,0.8486370216813466,0.8030708316312619,0.7976195558767376,0.9500373775220341,0.860960408396206,0.7688500845460702,0.8512550314955682,0.9174026489932704,1.2899790581055217,1.325763745179378,1.1069403329216,1.0050377724281883,0.9534536689302692,0.8718300947377586,0.7997585796975787,0.6557178495878435,0.6195325124377309,0.6025407195017615,0.6311852016494054,0.6323136380160949,0.8444816775869313,0.9488424019773691,0.8066028825674172,0.6366815413977082,0.6158254632549168,0.6628473778907045,0.6440677084748836,0.6882252585187705,0.6878471277949296,0.7894916559292849,0.8824241376095738,0.9109433948628701,0.938463365810518,0.9971700532631879,1.001683994726645,1.1691383925882886,1.037207120156647,1.0555636936824198,0.8776487632447478,0.871450903934609,0.8483103668306664,0.8290854021676499,0.7945876992344812,0.710648574201375,0.7399760244655942,0.7153636338215619,0.8484905977165261,0.846824776403451,0.8342944620761641,0.738013025430897,0.814298606586099,0.8734691761622319,0.8967876271759938,1.0479967599899016,1.2649071276971386,1.3501759138418992,1.4451728764488119,1.6690560836132313,1.5335767830134752,1.1768215019541004,1.198168697447655,1.0901499356422863,1.153125644096514,1.1214499401241238,0.996199346774842,0.9925213593498855,1.0662458853241135,0.9539342184995566,1.06718208405071,0.9740172586143853,0.9682226909489139,1.159668096696432,1.1566832436659389,1.1489822570288528,1.3339241546163694,1.338031295267695,1.2358991732638975,1.2958345841468804,1.3945516343909452,1.3823253297457894,1.3267851074659003,1.4409018747947158,1.5416498385213697,1.6764541699108155,1.4278834355342145,1.4828543328022048,1.4176586304768275,1.396086794802416,1.401253215847363,1.5388497529323313,1.5839226340119577,1.7807539480923598,1.3901922504335398,1.2632904586396791,1.1538944025028235,1.2232534952905922,1.2865257005158273,1.2521764247291982,1.2423087488909215,1.3714021112719756,1.2861877101580297,1.1655628482166294,1.3593188070845805,1.3372998632136586,1.3188406060293085,1.303440237429648,1.1511651663345308,1.111839886166817,1.074258923502126,1.0847806079034432,1.0800382885927606,1.049732348955699,1.0201888043215113,0.9938830873084381,1.0457705996184645,0.9887668443450391,0.9555922994306427,1.0796401073530868,1.085044610165733,1.0692830185008217,1.133539513825485,1.228208732727289,1.225345594366906,1.413506195422869,1.3433180108494422,1.3351888551250253,1.343650270522948,1.2781836642076574,1.1892626526440633,1.2232349285898054,1.3217970099670864,1.308429353632559,1.2412536866776867,1.3486261320249808,1.4417750499348305,1.3249510393284059,1.3562103489698418,1.6420623636642138,1.4811483327470445,1.3369197549500558,1.4722119441497177,1.5561916962779299,1.476606293709727,1.4091842525175216,1.5369101009922934,1.522059427682026,1.5038217719653133,1.660601346074486,1.5438520555502993,1.5572506410384543,1.9060335535802508,1.6344358151624705,1.5033705103481123,1.3894661363817666,1.2284454927137538,1.2041098123616119,0.979539440939218,0.9454990847157065,1.1055192121583461,0.881989534993999,0.972712052865527,0.9589537183268527,0.9047020792852003,1.0532294532785345,0.9627461182756477,0.8786851369939583,0.9419184401087368,1.2548935523379658,1.1437606058570247,1.574121875206407,1.8126902653606973,2.8820535726987835],[1.5692557985225921,1.5750976573083264,1.9631454243110862,1.124777424266736,1.0719205001085923,1.0981922533565962,0.8956050787870043,0.9191340769896525,0.8724850881001136,0.8126437568161781,0.8264878157722003,0.8630278725233222,0.9189223734950295,0.8743315122064936,0.9497383360956664,1.0325234941140762,1.1350531237561088,1.22135438815515,1.4352406192303062,1.3506646644547824,1.4417725433261332,1.6022435771971928,1.791876578464682,1.8795089016942454,1.8316757070105,1.5022960365621845,1.4636606651466957,1.3299607268361417,1.241909595560662,1.1102761734889461,1.109822033696208,1.0421332227713243,1.0730276685640983,1.1473220213951534,1.175943592438323,1.2168199505006358,1.211112398548388,1.414360870852416,1.4140758520016117,1.6081656616516966,1.6957738452806939,1.6085202976894528,1.7206984036687698,2.0372790675133987,1.7950021764142723,1.689757931861459,1.6211569164306758,1.6682540995784187,1.576130627397796,1.6532394683956897,1.3791662599026318,1.3936541337595263,2.032498756542563,2.2976940335658367,3.312831323692569,2.681366437729593,2.5981669528188958,1.8661813188833265,2.1824005821866694,3.363085945838812,1.9846752087500292,1.8679453679595783,1.7671160799827463,1.6736320784664465,1.7394651755465875,1.5149749973070725,1.3773549460767887,1.301140444503371,1.3822534325777136,1.2460428977453821,1.3834407631679735,1.52126547539684,1.3318807508022559,1.4387124796655555,1.2139958773050086,1.3971455815943257,1.3601194426354517,1.296984502246784,1.327114468408793,1.3246936221779038,1.3681299072900275,1.5325849115237906,1.3079894464537218,1.444969351385737,1.3956728400661624,1.3583619670868652,1.4192800316858405,1.3529838990090441,1.3057561164028406,1.258759673276822,1.21134032430225,1.2165161961301914,1.1509793088759925,1.069311603021839,1.0146937300966534,0.9464311048128307,0.9601885652859555,0.9141223152693393,0.8929113245215816,0.934254687457504,0.9311867857283926,0.9409359506354117,0.9758820758946815,0.9232145940755062,1.048586197445841,0.9220070408133756,0.9161093826515515,0.932943685847227,0.8947776748254578,0.9277704214842024,0.9184899160032949,0.9317792201686681,0.8756359693808874,0.9408499730484293,0.9560927188234513,1.0872966726145292,1.2148783385814188,1.3791134736274753,1.4580388644669988,1.2575756564485203,1.1790934313682675,1.066225063605227,1.0017826285105433,0.905453767530894,0.8146605117501939,0.8934429692590243,0.9275666199671047,0.9104912519479738,0.8687994309658517,0.9165713797886403,0.8620500251734015,0.8486606836549364,1.030331373557088,0.9985641774565466,1.1328114770938829,1.1406708647538886,1.0557291689801216,1.2391074965880735,1.3364366010460054,1.3928377096414255,1.6711547679251244,1.70260237330198,1.5146072006109517,1.4509088956181462,1.4154767695689705,1.3107834932214237,1.2316140075581403,1.0537916903908133,0.9650887134463285,0.8908459226602522,0.888816604216093,0.8894743111460229,1.0952392842711862,1.2376693260277498,1.03303032280335,0.9095896310707602,0.9037366399606387,0.9233851446099446,0.9545795282111458,0.9631568077564263,1.0698304864043497,1.2306336371439808,1.3684050282729647,1.4086932986946223,1.4454637312772787,1.5648344986887937,1.588929806741517,1.7448686204987032,1.5992659562511395,1.7388720425942172,1.4532136891779197,1.4047481119285814,1.3195198851316232,1.2794584625393124,1.2231074920279705,1.065241610947939,1.1064989957276286,1.0552876037973455,1.2406035187511009,1.1908312776299466,1.2689867591023107,1.0165754926792834,1.0963810299951575,1.2522150909984993,1.379126950714095,1.5422943712596755,1.7998801762859455,1.5587326100409105,1.7523445404246696,2.035384742249807,1.9242556630272645,1.647063408834356,1.5358010380906277,1.3371633354067654,1.3136082771668833,1.1323564368369106,0.9965919885925333,0.9258687271373592,1.0481733407076606,0.9889816725542642,1.1545846020498907,1.0955244691594175,1.1032503839984298,1.3715749282523506,1.3799022548082371,1.3977207093058397,1.6476012619541378,1.669081799862101,1.541350334882707,1.6258391437293649,1.7670244435528335,1.7514395872477198,1.6680247112475186,1.8014286459780338,1.9306836908823575,2.073353652471931,1.8151648137948613,1.885294104563839,1.800853222841663,1.7689231333266946,1.6970564324978878,1.8042935429595002,1.794385554605439,1.9326348787123706,1.5533181272795962,1.3679101250476229,1.2279045581741457,1.2571705176199726,1.3567612574371821,1.3471047081979017,1.2379344987425338,1.3496156985189045,1.3168453358062384,1.1598800935842237,1.3200404309115772,1.3093447943378718,1.3298992145654658,1.2627955741996528,1.1725603945198768,1.087605466490907,1.0602007139268526,1.1472048803484785,1.1184346884462937,1.1366933529602425,1.0958948835317925,1.079137027379368,1.194565331747581,1.1392260590005128,1.111115775529392,1.279221725364505,1.3092065261770605,1.2869931468115865,1.3934383564891024,1.507006241561089,1.5055289039756812,1.6938318837888457,1.6757419916450655,1.6579646923603744,1.6633779849674568,1.547963100729726,1.415271242849172,1.4182181983277558,1.5998781313272867,1.5976020802191457,1.4397200273641926,1.590723753418153,1.7375099593788057,1.554402517135732,1.5326552558375366,1.8969479163621825,1.7978738902448599,1.5087647836740539,1.6413749369226256,1.8134669745010397,1.7813442711081728,1.796507671732848,1.8159935640161942,1.8486922482795052,1.8960629869407486,2.0866600069750616,1.9599187250954166,1.934340054385032,2.275619408647955,2.126316336119388,2.020235557521856,1.8829669190734972,1.5746101340718006,1.4437790607780832,1.0593401380766319,1.0313306586391346,1.3191002338515423,1.0456495644668449,1.1606181027749058,1.1126762026993287,1.1012163311849814,1.3098817957246423,1.2256412207067577,1.1344122897052356,1.2261848093869527,1.5509647248469034,1.3569520100772288,1.6058513489267896,1.8691709354703607,2.825095242694347],[1.2900543459817442,1.2338758600060566,1.4492296836620913,0.76017061188002,0.6683063577853402,0.7655058715258505,0.6718629873068346,0.6945888358339617,0.7075642978800766,0.7653227268673255,0.7769062408411539,0.8033844909427652,0.9207461204728594,0.8573718749970799,0.9445426801865834,1.0362294636638447,1.1598648374273028,1.2175788575513775,1.3724709740950494,1.3133988902425073,1.3585070302980067,1.5095742584410161,1.6716432081417023,1.7472524274870287,1.7608913684366565,1.411485536774913,1.4026006643394135,1.3116087491875117,1.2600291921558942,1.1407789440577323,1.1008721856170185,1.0668770181710874,1.0904504299888356,1.1634914939966334,1.1989089469201193,1.2183734461522198,1.2592026098223095,1.4160783776896821,1.4145805498512358,1.6201451163148348,1.6534571829330944,1.554492579929308,1.6703142095757193,1.9559767806192763,1.713588577485022,1.654437777393021,1.599564089910187,1.5922221381601367,1.4961578264288078,1.6214587792326765,1.3423461723324814,1.3631874834221775,1.9828769843410614,2.250324062732421,3.31133827276383,2.649903402663818,2.5534375853400593,1.8274305234645567,2.137290499063322,3.28757621365404,1.8975006636551244,1.7877478244277079,1.6838948944689818,1.5508103394040547,1.6472634923013802,1.4650318489208563,1.302433277982467,1.2719768148453048,1.3342222800173897,1.212629240243278,1.3409346694971385,1.4663446081671379,1.2921875649494552,1.3854989735844188,1.1670801186730262,1.3560213972743318,1.3447438282326072,1.2901974438660753,1.33171041734658,1.3190937559741827,1.403495401052293,1.5796853384662166,1.3829194014287838,1.512994937318053,1.4557449903634967,1.4161906964708129,1.4367669216011434,1.3883429090743418,1.3027434728171405,1.2801146637553469,1.1962402187097914,1.1649964736112124,1.111264357825566,1.0513856381340605,0.9943787744926263,0.9185284541420587,0.9340214579910137,0.9028306876610144,0.8627060768645267,0.8523532730880893,0.9258552765265332,0.9113001554701422,1.0433528134687817,0.9916400907523304,1.127536654030222,0.9865060384922245,1.0027802788303628,1.0152989596406943,0.8507634287988314,0.9172326121898491,0.823420232619193,0.9640232586169335,0.8214092391148581,1.0031597921177366,0.9866076360088297,1.112344779773113,1.2178096500556184,1.3352186599338904,1.3787540073566849,1.2251557134975468,1.149798661915862,1.0493295403898,0.9997859234293777,0.891683226103714,0.7764373100958071,0.9513939213751657,0.7925643945069382,0.9581151386936657,0.9191144324069535,1.0471972477684204,1.0791936301552914,1.069893126658276,1.2760673141474554,1.1973596624554042,1.3120980717426882,1.1986646534296836,1.2072259436359924,1.3353876732327108,1.3825552000926815,1.4043202314621426,1.5748406851847532,1.5991934547249527,1.4432779813780579,1.415651683780202,1.3748891519394253,1.3304179240133436,1.2663985488013334,1.1101789550009555,1.0255534558984931,0.8575910506852145,0.8202619018148679,0.7345291459339148,0.9053036284124646,1.0997998327276102,0.9013097514704502,0.814688360822239,0.8622889594390976,0.8837620500480246,0.9875284070723384,1.0132267117426232,1.1586193915333993,1.2867245858407772,1.4034390698545431,1.4360557389940003,1.4568833255670237,1.487151447512129,1.5917746864677245,1.6852250585131139,1.5946918148283553,1.6846197808086496,1.5066833768138377,1.4415401144127842,1.387649655040753,1.3786796505089354,1.3210372256203202,1.1649200888866686,1.1803777019554307,1.1542903094196806,1.3318386571848637,1.2920631283454225,1.3815080390077634,1.1586236161552332,1.2592961050485225,1.4114787981079011,1.5060698888606103,1.6114973612875683,1.8326454537098043,1.5601204906915254,1.6987164395267285,2.014258778441496,1.9012217040642942,1.6724807722083246,1.6093330411535964,1.4777005700892325,1.5053456391344755,1.3631676786362814,1.2667722302478637,1.0891621816307508,0.9010666321770294,0.8921873654195231,0.7976001680344108,0.7227278027748981,0.7129246917982264,0.7946506956032847,0.8263837953631027,0.8205902951747687,1.029134893439493,1.0952879627209622,0.9880574920018403,1.09778606446106,1.2859330795176787,1.280696578401693,1.2012484890959065,1.4105165435700047,1.5705340569265194,1.6980088342476816,1.4218565065424786,1.5255626139297611,1.3422553625795737,1.3168733016076088,1.2866622219487287,1.471340871113743,1.465944495740417,1.530029699009332,1.1011487826384598,0.9734866403914447,0.9084438669869166,1.0297132485881861,1.0276366011186244,0.9879401814643665,1.023184799542441,1.1298402987719023,1.040502973745207,0.9626007787452324,1.2715964063326146,1.259919416585244,1.0972389666591056,1.3463802548624608,0.9363413327864271,1.0444472877564268,0.9722323292084497,0.8389720784946949,0.9012866262966355,0.8933086731436768,0.9058489721996101,0.8363646624828417,0.8279857122004717,0.8023056795656922,0.811593056072842,0.7921225098951813,0.8189542741739411,0.8200500773907761,0.8789543940232369,0.9985117815135407,1.015082015357796,1.2457548602437685,1.188083571117154,1.1691069546100201,1.1520860751637902,1.0266592489502353,0.892144847324264,0.9388782297539708,1.0956954060430095,1.0562914713418803,0.938075818416287,1.1069611552994298,1.2299412036890267,1.022704846982262,1.091688877592317,1.4810733685149264,1.2976633634657182,1.0684946232567356,1.2719653141773828,1.4400020515356933,1.3856780476028425,1.3978493010029343,1.5787217855993416,1.6773784885021827,1.6391370058920403,1.8312136835454569,1.5216333328148264,1.51058757015258,2.030210570044,1.7418758665495808,1.6475558204552068,1.2051474962042164,0.9075347544823228,0.775424608033122,0.7764061753444238,0.7084376153394923,0.7530142409183757,0.7267153900615796,0.7100004522024779,0.8387388677033242,0.7071745962762195,0.7942373542560466,0.7422557070300089,0.8798678169352337,0.7887436093980644,1.056620487615203,0.8933063091926917,1.2559193699336664,1.5089477302718877,2.469413920887795],[1.1713245811851942,1.0420602110190607,1.1211605063476477,0.6510215362619683,0.7997746546861169,0.8000769292912734,0.7933672318634363,0.8442297455330692,0.8077414175365094,0.8812069378397208,0.8823039703973827,0.9449072695398656,1.0509555534386703,0.9396059020148506,1.0342993640729927,1.1410124151627385,1.2476363305538536,1.2795849543683013,1.3899271010322258,1.3509551975302136,1.3718041674567671,1.5390867571152775,1.6760397412905943,1.7438911782570334,1.7518019425284619,1.4045865643489903,1.4286782526865023,1.3587212949676388,1.343037638672606,1.2641832529389352,1.1936130537303784,1.2147891707127978,1.2362823216952947,1.2939333836535922,1.3353702108296523,1.3254839471055804,1.4033959402827085,1.5073876290388533,1.506352435077415,1.7314719252623119,1.7008281038728803,1.5978745906498133,1.724511480563878,2.0017653950852017,1.7256330629483196,1.6708971815336249,1.6280748597344623,1.6271404017546085,1.5509393177585897,1.6654495379137995,1.39122146444572,1.4528540836052186,2.123684417087159,2.377046138629259,3.4545197864425377,2.769448723455986,2.647071837756608,1.9169031246819508,2.2498917421731495,3.373975083008041,1.9541808209244613,1.850259768523049,1.753257811562478,1.5977271691026442,1.6840633016101372,1.5170048983990554,1.3166568945943544,1.3140201048611644,1.3429201855639592,1.246616631197973,1.3536417073970206,1.4586874851625242,1.311218898840196,1.3982473165842333,1.2139337937620691,1.4000619649675754,1.4103382799014001,1.380719379302759,1.4323896439416277,1.4179326408688706,1.541760791661625,1.7122750573755705,1.5414788537949127,1.684616484927288,1.5928682513910133,1.559879309955271,1.5505291596901736,1.5351011588151602,1.4031075684169434,1.4004716230038048,1.2915374921029852,1.239438643564823,1.1891323696750289,1.1542524499160105,1.095422208723092,1.0085501711575482,1.0215652423960062,1.0426110530205743,1.0191563702955957,1.0312851820437636,1.1198698233413273,1.146952148856269,1.2633760663445865,1.2613276205164758,1.3739223548222816,1.2560498419237587,1.3193904171419621,1.3325815953277926,1.191176467754323,1.2284261398875136,1.1222432556078872,1.2142603541503956,1.0204543193109963,1.1672776016621125,1.0972396184968611,1.1761827047928253,1.2601881967582367,1.326779327816925,1.363702544444642,1.2551896541857903,1.163304930301244,1.0815908843181838,1.0083005144874067,0.9423600282740873,0.8815183334622804,1.0989248665611124,1.0098763518195364,1.2272703748597322,1.2344251336525844,1.3349526618391965,1.4192739486432682,1.4167630472320463,1.5668328147667938,1.4824541537447402,1.5504207477179235,1.3614650224605904,1.4155564580378808,1.4346230321269473,1.4108960018477616,1.4392804824502228,1.5368392474230783,1.5701819787014355,1.4331347581799045,1.4392920383354955,1.42330354307565,1.4156868166684908,1.3582467382885124,1.2479773059089934,1.2154912131398672,1.0520218132685253,1.057092622592382,0.9313815868285891,1.080917934510194,1.2735921739806837,1.0452146534088032,1.0174210460219555,1.0513714276313773,1.1145814595840497,1.182833631712669,1.2504314973359816,1.349089563995277,1.428407050196503,1.4978918417122957,1.5408279773951823,1.5457963231720948,1.5181330416646666,1.698383971154361,1.7542174444706067,1.7036316358304822,1.723550945324915,1.6260795144296043,1.5375306077033497,1.5297430727156707,1.5520510748449683,1.5017296688996806,1.3791606586582577,1.3632229484130074,1.3617730411109485,1.5064312766914836,1.4958019795546407,1.5705451497038934,1.4008722477706486,1.5028615245648715,1.635350065916905,1.71023104766175,1.7479190831040627,1.9341625390228714,1.6302424597904397,1.7395326506653674,2.10229222238855,1.9695643834396666,1.827920240986373,1.7777928916268504,1.678490742465412,1.736167873819768,1.63413552848968,1.6137705732490568,1.4245120619854337,1.222676233155395,1.2227303222332941,0.9972144665659116,0.9604321095598322,0.9787458724543068,0.8394225457372084,0.8174404031263907,0.8211381538497088,0.8249773216055748,0.8902213236083483,0.8661519518626964,0.915635286242155,1.0620278001573134,1.0886129447283632,1.0265545276399293,1.220640459094818,1.392575673358831,1.4835329725208928,1.2451968338870574,1.343664433488078,1.1283232673296668,1.1185375214279727,1.1312159396302872,1.3873363078016134,1.3180988410659376,1.371956305318128,0.9892758560501634,0.9099788406662257,0.9604624980587952,1.0901632117060278,1.0329568378833884,0.9856462620482368,1.098292214635319,1.1444049242858163,1.0530470100334033,1.0930378653544692,1.406046132731312,1.401281066164648,1.1598512564315162,1.5506115174734887,1.14051826661025,1.308928810083818,1.2016991283173837,0.9900046769306858,1.0967729557174148,1.0702875530523681,1.1090465338825322,1.0711018331256827,0.9693039850958093,0.9578188067802209,1.0083819907472884,0.850932266598745,0.8351779576002993,0.8367684882829409,0.8412734500234874,0.9235387606746361,0.9326348440791304,1.146382282756557,1.04994112220887,1.0394212075991356,1.0046552330993996,0.906333162994566,0.8323355743598119,0.8689040603515398,0.9360113206464731,0.901866373349901,0.8537584819443997,0.9387741696770964,1.0223432190717996,0.8608911707816346,0.9245303118415685,1.290378320099145,1.0345968118083382,0.9424056270765955,1.0779789548752026,1.2584469924675847,1.164087648943711,1.1866988126452378,1.5396293018609897,1.6637653950615494,1.5765943465199574,1.6780821225426812,1.2268642367159697,1.205448455060166,1.7159869162633743,1.3974552969577216,1.4541288030597135,0.7079626613727712,0.7425019274285024,0.8831496335721079,1.1380972067941992,1.0294884132723523,0.8476481693948293,0.991499390405605,0.8716811701452708,1.0508806733298695,0.888971338221579,0.7885946670275031,0.7829173499554454,1.0367358078248015,0.7767399354854253,0.9066497544751555,0.7939751555224974,1.0971973373291126,1.4288849157337282,2.275308332773956],[1.088917947921612,0.9702153517375706,1.0115453941695824,0.8760169782116719,1.2269983424162827,1.0461283184206118,1.1254301059248542,1.1804050368068464,1.1055476437420408,1.1806906464406615,1.1705555948680004,1.2464540144343736,1.329456686106335,1.2036366733944555,1.2787055019276408,1.3801676553626179,1.4769667034359086,1.4731328108164903,1.5292160601675848,1.4934649476722128,1.4702537407361316,1.6417169418918751,1.6934031907982652,1.7253510570799806,1.7851825630462195,1.4957873689100425,1.5538493071588593,1.5213038588560672,1.5475164662329672,1.5086141131016986,1.424026045800594,1.483002326369998,1.4910085456444162,1.5350250337402243,1.5630490978378981,1.5380743978366938,1.6337050061832565,1.685449121665648,1.657006251166099,1.8212471058317783,1.7862011830451459,1.721370868721149,1.8102413856798607,2.0470164122097145,1.7907197328767213,1.7417713238209294,1.6956436522998255,1.6737187852106994,1.5759879617894632,1.7108389159584831,1.4393242330591736,1.4329041823658681,2.100044073000806,2.3772826712644255,3.500799381990736,2.79270349362912,2.6644130877646846,1.9923907565759529,2.2730760268539085,3.3313387741182496,1.9844381412024479,1.8824987413496088,1.7953429126520184,1.6445216021901379,1.7625624565032063,1.6219201593136567,1.4068640541062392,1.4617482591550381,1.4575564580685585,1.4295451622334236,1.5074313073468601,1.5686196131935497,1.4751937803685888,1.513806015606804,1.3862268054037512,1.5369283656332577,1.5717707429527612,1.573705325351514,1.6071332353122145,1.5634221747513721,1.7020042807886018,1.8542091263080145,1.7423551997389783,1.8223492506041425,1.7269633764147994,1.7311253643001498,1.7172227113628526,1.7098299120798859,1.5874395914580213,1.6049196488743522,1.50583249207605,1.4693167106679168,1.4221737175328908,1.3872437424220072,1.3436458326616698,1.2673696976807631,1.2635889794475794,1.3485198942488579,1.3477912727589505,1.3437015525084,1.4503031076895747,1.4588893889588863,1.5766115396387979,1.6004704451515923,1.6521924932313379,1.5650609666974953,1.6170736630336937,1.581266948888241,1.5183873267106938,1.5652764484463118,1.4900804672963932,1.5492726660508083,1.361010594089488,1.4666774342827171,1.371576577903558,1.4123811634813195,1.448432571902187,1.4505822926229188,1.46838616420301,1.4160491091990326,1.3227664223190048,1.2750293176912475,1.1980832580295124,1.1891647313988742,1.1763892065793713,1.42822644078365,1.3812542558997383,1.5626275536037655,1.5818061367478904,1.6232101751465502,1.6760470996478056,1.6438827322937108,1.7043561678841386,1.676370548472177,1.702664681342807,1.5445338437147536,1.6624962395488303,1.6490158063749407,1.5895556885004078,1.5944588576590009,1.6006976909274926,1.5991407141618788,1.5256048646273397,1.5655933448840813,1.560679609881158,1.584996728425381,1.5555557724518911,1.5083029922110567,1.5070184208357322,1.3693138489657006,1.4126525964535461,1.2731962191577753,1.3338388254735887,1.4857726781351646,1.3096307800093319,1.33955147189408,1.366522097659391,1.4449828586555147,1.4831822979399911,1.5596410137085368,1.5960901801286345,1.6263603224883263,1.6559120035867754,1.6760706661608782,1.6279672026078364,1.5434628696717234,1.722465185867209,1.7238630399685773,1.6839124491688997,1.7590592270398182,1.7056947485791258,1.6669502184481582,1.6635140095450565,1.7281024352757837,1.6923843983984563,1.6247414684591692,1.609983204153209,1.6164037000759375,1.6874508751088297,1.689013646912334,1.7189964556680744,1.6369254163819078,1.6654824274674782,1.7475103794029356,1.8025762906337806,1.8281237853629015,2.012875457303435,1.6706697832600175,1.723700978199443,2.068113843321912,1.967300162304016,1.8265890164244625,1.767730664977724,1.7016848637553557,1.7730512778373262,1.6808591263994046,1.6883059003904897,1.5832792317417077,1.4598675613959617,1.5560811393249379,1.248914627435077,1.2584511724594598,1.3409437897663925,1.098557180099521,0.9899837565011018,1.0327451920703112,0.9343371895336507,0.8473038998823395,0.8855665036504347,0.9160058016736478,0.9211316224878682,0.9397528734051058,0.9662674990048592,1.130814740741977,1.207178254833422,1.2489621728045583,1.0404965845043803,1.0431639093227394,0.8416257036914082,0.8616419380556618,0.9487074476771564,1.238021974223749,1.1998309456547482,1.2550507585446593,0.8831845702341038,0.9243478844015718,1.0962516561860096,1.1879004064122176,1.0390163308842189,1.0571787665893733,1.2367366710799315,1.194831417687687,1.1221542793790866,1.226422652934651,1.4659574187020252,1.4821762776163725,1.23053267209223,1.6604014213520817,1.3330602876494855,1.5028407478525323,1.3807347752659083,1.1923284213309668,1.2946102454923003,1.2404180693349587,1.3520788250308804,1.310704616225307,1.1513110360048628,1.1962630018942215,1.3019660735283365,1.0549568054421392,1.0008015283146712,1.0335044904802422,0.9741723622415176,0.9479780800713101,0.9699861223267865,1.1487954983552133,0.9674282571759555,0.9209232185210982,0.8593855873149594,0.8139748767443263,0.8719161765807676,0.8686840079599334,0.7821814982964262,0.8161592714929274,0.8699205541846895,0.782566147893902,0.8058090849248096,0.8239473500958239,0.8188207412922518,1.0149426285868028,0.7664270892869818,0.9308314388399098,0.9063699160290046,1.0134072522173778,0.9006053282091957,0.8393511493270684,1.344556074732757,1.47703181505731,1.265079160837343,1.3594625663784259,0.9131860699603697,1.0110842131752673,1.494680421915195,0.9633748083785744,0.7754950569897664,0.7737322126562409,0.9643888929848452,1.3159796175557603,1.525382302245003,1.4682832390359988,1.2333848879513305,1.3729964150420289,1.191154823636731,1.346153961765737,1.2433441703142458,1.0296442556810665,1.0267988602871807,1.3298905189606884,0.977007047813814,0.9205324213482398,0.9050626261767004,1.2184624064287157,1.5175046222854143,2.3145774598918356],[0.8771680226779082,0.819348057027132,0.8701628737474449,0.7423209514308897,0.9173452974478756,0.7979239659401691,0.7547761470629144,0.7952245348484835,0.7549705479561732,0.7667451414258508,0.7561710698360541,0.8192408987832276,0.8463560386992365,0.7588773477261461,0.8133117492979708,0.8808478818267149,0.9370728459744411,0.9385985545310734,1.0247114197197262,0.9642165151791844,0.9794811438959756,1.113352990575221,1.3215031062222617,1.41987846738005,1.5204812625765958,1.0550333387913085,1.04134377088128,0.9871260565104152,0.9985642092895333,0.9477275708024078,0.9017758714681433,0.9525325440338543,0.954486885311442,0.9891639589316268,0.9984722834876518,0.9665248290932134,1.061463644933088,1.13674251151476,1.0829132800578896,1.250251021105457,1.3026081707115154,1.1869197607091302,1.2684074951442037,1.5442141119764163,1.448850406175851,1.6593832321763433,1.6919787329475164,1.2976182729075667,1.2999910961355081,1.6296116096215454,1.2227930559085904,1.29958068622403,1.550905778729767,1.8530990570010524,2.9450165630764604,2.184227836470217,2.0766826375558387,1.4851137039944657,1.6972193829270135,2.7847867176483834,1.4948059660096986,1.3623540814925958,1.2811404314111392,1.1176987007006218,1.2456763934274488,1.076686470334372,0.9411797847710623,0.9398491272251327,1.0006869977679218,0.9671177255672252,1.0919677524445472,1.2670390142575771,1.048190500816777,1.0972041083910933,0.9179170951637093,1.1817673538952407,1.0250216936295786,1.0082065229552584,1.0331635831987571,0.9939470852748589,1.1118074495912929,1.2834073313667411,1.2247559682416311,1.2664787480208413,1.169590678491137,1.1448590145051611,1.1288670773299865,1.1537466667777845,1.0072198537632293,1.045000815754654,0.95356377803359,0.968632225485448,0.9304500221121292,0.8696398832494541,0.8434824963789841,0.813578160644702,0.837275746999481,0.8623593225619054,0.8862214994198327,0.9287570326626616,0.9459240230151684,1.0005364025277457,1.0380473578246334,1.1005914856541974,1.1463602456292743,1.0842997619816783,1.1794029849427163,1.16250854811123,1.1108536043852753,1.1515322004139688,1.0757266598607997,1.044979027459848,0.8825683012951329,0.9479446100858958,0.861118015212069,0.9147188004509017,0.9651063564269085,0.9859474854358443,1.0487511257411173,0.9257855554623547,0.8702185735595478,0.814417919418843,0.8043018109332948,0.7532686431917051,0.7311927500551451,0.9228237009371536,0.9568017009053363,1.0409789299813068,1.0767881236516912,1.0959986070953345,1.1647032542592166,1.1749185227928887,1.1826312218518669,1.1437232334183491,1.133570236055559,1.0441117152503487,1.106559427438933,1.0845637601539777,1.0745413045545629,1.0625522694765899,1.1594925817070454,1.2309964468223815,1.0489377308550447,1.039457240555082,1.012969103927787,1.028237238960011,1.0013333077397815,0.9623005053460424,0.9669365943399946,0.8911815883709487,0.9747967513715369,0.871369379482617,0.9923846028498563,1.2711699704626171,1.0114892520477436,0.9221937194401402,0.9096619696143788,0.9753574200913145,0.9601089423092579,1.0291326852342833,1.0173820387325,1.0445408975219492,1.0834581917628612,1.0955395509372285,1.0866564244872077,1.0585827616052566,1.19864359674779,1.2998134864641433,1.2336859419442952,1.241520413746238,1.145578985544036,1.0978925670192041,1.0891584609117024,1.1281151764584034,1.0973713235124305,1.0461962641612745,1.0396227308980506,1.0526000207803876,1.1086579127564582,1.1309082463683986,1.1239067286349165,1.0619061218883057,1.0992797188002719,1.1882810355886533,1.22000465302965,1.2628482424640117,1.4461666836184952,1.3272091248713616,1.4214139919305462,1.7076904491488236,1.5973157996522107,1.3186184633195075,1.331994338769707,1.2596108841771148,1.370098716625811,1.3406868556605867,1.2887121101513674,1.2484523206357272,1.2067607402726317,1.248751974724413,1.1381166443538226,1.1048529497198691,1.1152876401861904,1.0711691303870106,1.038913375467776,1.0139967495559268,1.0087463783093653,1.017990187629016,0.9995770245466608,0.9915475607053074,1.0385995224860405,1.0593092493995793,1.030928368046356,1.1750856997220973,1.2068082341184363,1.2077541166783494,1.1729740104020654,1.134937600479707,1.0617571892653601,1.069856071745775,1.2332686893057958,1.4146219264032163,1.4380481258599782,1.4297588076356023,1.0997726468674727,1.0781190226932749,1.1532798089871779,1.2524224390088998,1.2006802566986532,1.1546179271222439,1.2504394475033807,1.2828027271674733,1.2418760862505325,1.234188756173267,1.4160244685335883,1.5406606859875984,1.3209963644500626,1.502101902525276,1.2495688145826611,1.273416557011266,1.2219110542933505,1.1291199291976657,1.1849009038182403,1.2117551856327688,1.2103369106465993,1.1775773142635588,1.1585849167745208,1.1372774329356008,1.1799737186386827,1.0436991611141873,1.0293469617505497,1.0468462692571616,1.014237230063913,1.046361809576136,1.057857662094097,1.1923337079667449,1.06364863652995,1.0592690237863223,1.0448188556865419,1.0218526253339357,1.0015890783466954,1.0489749532358694,1.0416226504467465,1.0249844771355943,1.0525588339490068,1.0603659883905097,1.0692627335937923,1.05723386567619,1.0902773094703764,1.2677509132966016,1.0745070914016277,1.1691781892350852,1.204878903683844,1.2883785731785091,1.1590755311679537,1.0771901305268001,1.39692789706195,1.3110533630295302,1.1685965613276892,1.1876066861713308,1.0386577742873926,1.0385721178239986,1.2953125446252576,1.025275304721288,1.0568172426804132,1.0005402875509148,1.0814765335638912,1.0920622285751853,1.1803632650310407,1.039203405537565,1.041873293184564,1.1211747987913727,1.0291490836518506,1.1054759548096558,0.9937446016361775,0.9342314295665052,0.9042942037715067,1.0697293007029736,0.804182763123392,0.8162190804169827,0.7593558627109389,1.145814820027415,1.336169815110878,2.152748554215413],[0.8295820236658468,0.7797181843221034,0.8873458292430005,0.49160933473450547,0.6214562552989005,0.6133204079248968,0.5517183806053358,0.5644861719637467,0.5977233470575598,0.6336250975842715,0.6370334144376001,0.6752442386888157,0.6931728608521082,0.6588754564016562,0.6976405280305287,0.7346582694744712,0.8325058817393611,0.8349016827796281,0.9298767466743825,0.8325461310080498,0.8542867219826136,0.9397417639150274,1.159618821616296,1.2492688098766151,1.4039198075943453,0.9510933899784763,0.8846041795717022,0.8493079630858771,0.8590523606369211,0.7661903152694204,0.7624824569717864,0.7640169117489446,0.7692421767351915,0.805713330890523,0.7994658406521357,0.7876747106193,0.8393093295335448,0.9297771768097692,0.8627447658994949,0.9959265402201656,1.0554262520316635,0.9955270296983014,1.0593907954199098,1.3067152692186232,1.2519674092840118,1.4984926029040844,1.4697754352252612,1.0680969255504271,1.0571625500885153,1.4826227907529554,0.9861225528913483,1.2762175108465101,1.1598595087837342,1.479288489570378,2.606539215235106,1.8797883318625208,1.8588253367652168,1.2074045268518498,1.4014112015578601,2.548108917682126,1.2463001724451896,1.144891640520408,1.037994928434332,0.9451357442428355,1.0587878957193855,0.9086514038510829,0.8638950817700798,0.8431579442460467,0.9477183505194705,0.9081582829233797,1.0442580685807143,1.2078159178835557,1.002801000824511,1.0523174782422762,0.8158905059346192,1.0733384368105532,0.8921931125953175,0.845688444391927,0.8358821207645996,0.81069977601735,0.8701793831742598,1.0533202606264782,1.0177460506747986,0.9569131458905422,0.9280260335418096,0.8868019583729192,0.9034591830646881,0.9263130697654289,0.812167480095659,0.8561002784357883,0.8034529618743785,0.865174842331121,0.8208476588251116,0.7297354753061217,0.7175338838058182,0.7017440222026189,0.7316306392392685,0.7166392530944894,0.7115237855488279,0.7147801897809708,0.7177444023261613,0.7038251627130285,0.7432286821355856,0.7505313450938917,0.7935823197960473,0.7326884474134221,0.7933560274791447,0.7452925368832153,0.6738434999778954,0.7701127664227244,0.6967564154959877,0.7201037636025418,0.6354100104665602,0.7486558875398516,0.7303146315619529,0.7990922928667575,0.8542274415557994,0.9120776948827782,0.9710934592212678,0.8360577519474464,0.8236708567534146,0.7560283347487884,0.7664140369414894,0.6913603521483993,0.6157905561964278,0.7534243130020049,0.6672406941420701,0.7256467703528707,0.6944647734383197,0.7190080845820926,0.7451770549080713,0.7409291293048014,0.7803316421080737,0.7559474049459975,0.7683920386899232,0.8285069056873304,0.8195518590165074,0.8466572744311655,0.8755043970603401,0.8688011552882949,1.0079087318207456,1.0548079378319484,0.9290599488571732,0.8675811203282466,0.8277544647343152,0.8353918394323846,0.8213659996277728,0.7645961533650634,0.7205878840743315,0.661979584603394,0.6684201910989506,0.6200176867368515,0.7404211188367497,1.0933368809016575,0.8733616755265212,0.6703553994963296,0.6786287191435084,0.6767848145887638,0.7052175222728218,0.7113529907264947,0.7426836599011059,0.7993286826574302,0.8563458419762199,0.8509880872125425,0.8304834832527093,0.8570383761126726,0.9100062356217288,1.0374344832589755,0.9707601236721288,0.9987882513613268,0.8624211126349025,0.8231109187975499,0.8008740237490859,0.8394549074582446,0.8173285455850711,0.7279691166911656,0.7665067118370796,0.7560544612551491,0.8423144514444285,0.800868016850435,0.8221985876384799,0.7166082857938003,0.7306752984683754,0.8440231696712786,0.9024598887092466,1.0245188972416064,1.2458278535706548,1.1593146408437762,1.3007405828744216,1.5471150461915728,1.425855409723032,1.0669946842457085,1.0658525501573435,0.9531291325082916,1.052125539238513,0.9872884290264502,0.8789711773583783,0.8248230166125027,0.7549327357150054,0.7885411259275077,0.6431568079112839,0.6046497260762629,0.6314407787543043,0.591119229099731,0.574073429588231,0.5643472474740834,0.6617413238863952,0.6766006963293116,0.6317426072245488,0.6906597315353162,0.808194867961844,0.8317598990081138,0.8187205365677144,0.9813963579942853,1.0853756902632679,1.1600024807778857,0.9842894870150604,1.0070618286852977,0.8498226273912021,0.8402143843486891,0.9543294218459076,1.243234898647413,1.245599947641695,1.421593157445189,0.8317850383791469,0.7150863607482844,0.7216523056447454,0.8108077446823049,0.8016857685766464,0.724482846873493,0.8752409536313612,0.9391154665105234,0.9246992045379178,0.8115504512477656,1.0211068338252631,1.134201706214457,0.9566941617642188,1.1590729843116139,0.7936444762490964,0.8112075796433589,0.7759213941544978,0.6824397133949786,0.7881048083207179,0.8200827351525232,0.8152911703991885,0.7512963515214665,0.6920972521451068,0.6978331983182693,0.7279327772384644,0.5899590278050758,0.6299121944189885,0.7017322167677469,0.6474652174178851,0.6903509116838157,0.762056684379591,1.0099032814279276,0.8132225436837138,0.8012792844008185,0.7616423250399418,0.6857678252316707,0.603776629925008,0.6663362145049971,0.7247992014327495,0.6670177261055166,0.6698448530615271,0.7481652372812179,0.8239405183843638,0.701693816949846,0.782973174872575,1.1092416075655982,0.843004623844764,0.8180707522262661,0.9406578896800462,1.0764765329626136,0.9782045063824135,0.8704536360704968,1.1391904536997453,1.2001297378025222,1.0596760198335253,1.1239747269455171,0.9246787554997197,0.9367929404956632,1.3161032583541294,0.8122669977446138,0.8233097609498862,0.780619362899978,0.6752297710396752,0.6352020820640895,0.7014257009647742,0.6428005612880263,0.6366761211089573,0.7013379674818024,0.5822942395088775,0.7645179773049533,0.6316633015184355,0.5463637391520413,0.5110214578536038,0.7252840960488768,0.5050776873233723,0.645734893242162,0.6352452122896254,1.2175872334559197,1.269614797274376,2.153168183703554],[0.5741941341823537,0.5229306635932127,0.5157233729216468,0.5196685069945681,0.6497173910070535,0.5603298472239897,0.4309673122846234,0.44688005518696733,0.45749013747594613,0.4279304840158551,0.4283204715015742,0.5001611078878522,0.4555469531658045,0.411510571589556,0.4484988538833123,0.4769758397502236,0.5295038842249457,0.518776921361912,0.582449954288349,0.5471814241373651,0.5951202300098366,0.6758314730435923,0.9564429746987615,1.0986518241303962,1.3330072635269048,0.7697643660581563,0.6079605347736142,0.5093741482489937,0.522587322219904,0.457494641473876,0.47388251905651396,0.5017554252634158,0.5137488346639104,0.5198219555626629,0.49471445649623425,0.47551881499065485,0.5387375779363786,0.5984944650735158,0.5404043207908191,0.6791445143465644,0.7891325230494307,0.6950579110594578,0.7523008246664153,1.0251918799728899,1.2109429064846335,1.678090311547643,1.6985992766333513,0.964530053833849,1.068267686429431,1.60854422707422,1.0319101420032255,1.5343751336270777,0.911721517298791,1.212451215086125,2.3208848573464014,1.51577813817528,1.480151440625365,0.9939967027101004,1.0479317921334992,2.1223490189271965,0.8808010314769236,0.7784729102250476,0.7527167572899747,0.7606895379424145,0.7725317064760582,0.6303738376282758,0.6952141744273712,0.5502007714189842,0.6772284978074532,0.632925326788516,0.8056190799176636,1.0282969656982146,0.7456042491969758,0.821759623670533,0.5888989596048131,1.049744510732244,0.5899943419751716,0.5381220023410491,0.5346964029601831,0.5564683471050273,0.5614697839206564,0.7583210162975128,0.8837393065973521,0.7280157260811371,0.6766068619797915,0.5914953939131818,0.583066181778229,0.6488521660131857,0.5033562356884869,0.5684469521507107,0.4909166473786241,0.6785185075432262,0.5860813208119633,0.4800661648946186,0.4757932867642583,0.5015076941260446,0.5230841642610445,0.490675204409306,0.5100412778413451,0.5897026366742257,0.5136436795497454,0.5738696640430698,0.553353981288107,0.6489667502082058,0.7128033493364015,0.6917657824867288,0.8225948825364106,0.7783591869373355,0.7448989652118375,0.7979001635950629,0.7029843906256406,0.6062454582221731,0.4807896722080521,0.524501997929348,0.45959368367508907,0.48197589396260876,0.5624925682525048,0.5375885954892522,0.6536481324245299,0.5280783101680555,0.519371817576518,0.5038831017142703,0.5205460213745017,0.420827510446435,0.3940792390812636,0.5275915663435645,0.5945882225304008,0.6327492671694321,0.6840182481905168,0.6837831192864783,0.7658498369810242,0.7964758840385183,0.7429271626329816,0.7032844366896898,0.666039269892232,0.7405008826148506,0.7402064481024758,0.6198621507944039,0.5312052642388634,0.5257057307260055,0.6234394342464442,0.7779741228790474,0.5831706294344201,0.5218194059464041,0.5678184617317216,0.5069215820422787,0.5062641007576858,0.5003820161132067,0.5007577865209402,0.4955311320488871,0.5757433059635008,0.506362500099574,0.673226468860965,1.103267251206643,0.8256604113078495,0.5516847953055782,0.5052856298019582,0.5447397786547079,0.49597442942891323,0.5642340366978972,0.5336589828554433,0.5247715197517299,0.5614815900187344,0.5663560589431045,0.591869954437383,0.6651553677523049,0.7128603339683691,0.8948162653154822,0.8701100528925458,0.8081745328555721,0.6826933725390559,0.5946499629421149,0.5948333034551764,0.6239837944001412,0.5856354091389455,0.545809048396387,0.5415946665880897,0.5915719689840626,0.6198602076337486,0.6300738764005449,0.61753914742903,0.5899727471209835,0.6170220518273242,0.7076829428933189,0.724037611868146,0.8042068370656522,0.9601079502355936,1.1247929524333038,1.2113507066150415,1.4287769502954204,1.2747635597892744,0.9172218611635639,0.9754234378388119,0.8846438653298444,1.0180539948795944,1.0184676450523633,0.9224174211756584,0.94086951371626,0.9423886539575885,0.9635265290330526,0.8842004277250081,0.8375618288173071,0.8403382593179286,0.838595455612695,0.8022514806598017,0.7675717162976973,0.8067430352621716,0.7907262826019439,0.7650504164522957,0.7598223009536428,0.8167855116112724,0.8294987884939352,0.8289453035070055,0.9780727357202275,0.9607867509891391,0.9203803015532726,1.0069813251237396,0.9226414210650257,0.872574203981598,0.8837602988225718,1.0703340930325376,1.358680349440765,1.2883783713844275,1.3635898840967424,0.9115843927976718,0.8736550263463316,0.9490866884246446,1.015449406696798,0.9987055364574265,0.9295622197269825,1.0498973898937871,1.0789688546734344,1.1105217700862686,1.0287688362238472,1.1780767576668523,1.356620136937891,1.1481553073480695,1.2817994816916363,1.017141981118257,0.9683132770416117,0.9718535169687268,0.9126564624991469,0.9536331020901649,1.0134472123176537,0.9512569001331279,0.9259710715852624,0.9124478807676857,0.8667021904969933,0.8948263374156513,0.7813753442155799,0.7933144692567536,0.8411503900643518,0.7844906859675145,0.8055858304943553,0.847779949464715,1.0261851826024935,0.8217581379136506,0.8236636743094654,0.8057872261791781,0.8011151976963413,0.7977425064943585,0.8486085322787079,0.8345674284874249,0.811269944654094,0.8552092202823935,0.8630261379596532,0.8743834220316172,0.8727201406020854,0.9263170550024074,1.08406582544826,0.9258278185964152,1.0437678423516856,1.0675090289245335,1.2149661027659322,1.0907838667844254,1.0101369347474731,1.3126198127191582,1.3281713132248567,1.026889821586743,0.9454674312174441,0.8452090713024991,0.7898215273436222,0.9246344293120292,0.9345192891478471,1.1108771780889979,1.0718082862389366,1.0007736783512773,0.8695805106557855,0.8787789146411282,0.7147388172018072,0.8387241310618687,0.8416537108033997,0.7437107801947079,0.8610025806719344,0.7190490700894283,0.6746438553104184,0.6296071762852172,0.7538065986031582,0.5206033155009221,0.5819465920211151,0.5498614114685798,1.108347658103682,1.1058128456676233,1.9014367333296849],[0.4542694930814829,0.5001115872594118,0.6514488927408002,0.2213730597444321,0.4608549851896513,0.49129985299778833,0.48066361462082424,0.4663669019822148,0.4820668979362028,0.4912054383501436,0.47172798810764044,0.5252720899472014,0.5283522619446621,0.4859317964307588,0.5099669175933986,0.5648045454503867,0.5779234375498498,0.5832233063926425,0.627520936381853,0.6471977533927912,0.6769291101482677,0.7395079101921973,0.9829555305943994,1.1128540927862358,1.3930309928639737,0.8567905595615514,0.7100778202592756,0.6094680176704201,0.5752209622210249,0.5470489401636972,0.5623416095425954,0.5603247546020238,0.5635862141097925,0.5527434397509254,0.5558863701497185,0.5722230266876908,0.5782239416644901,0.6435772885655962,0.6149331617125876,0.6881589365884309,0.8183254298317488,0.7354948608326148,0.7537898633427977,0.9679848673876699,1.247152341892565,1.807135860083041,1.7607426869153338,1.0223656426194214,1.3120001659924478,1.8170867263792077,1.2216504980511356,2.0227568694151388,0.9246807991124222,1.135009275609261,2.0820270409377253,1.2669673536501742,1.2635147111091674,1.0569528213699055,0.9593748491141711,1.8123028875843084,0.7922436454737634,0.7685336024235743,0.8294149685879031,0.8408469341701565,0.7880396728418302,0.7260990800849979,0.7856749578137878,0.6211237498712087,0.7278342497963809,0.6341714014083099,0.7920760396808105,0.9764958040532725,0.7205430059005642,0.8242085993197096,0.6736173176682009,1.1435839662596572,0.6615818926901377,0.6208422353654949,0.6518552454333552,0.6789995077779764,0.5938462705159928,0.7151440887958053,0.9476208262504185,0.740977224781373,0.7025466506531328,0.6126273430166594,0.6436191355041165,0.6882703219909843,0.6132233973536221,0.6351208815619285,0.5762081583672451,0.7630445848848635,0.6570667148670559,0.5576584246461698,0.5487488827937776,0.5549858828402482,0.5716091255186729,0.5273403314983379,0.5210360430690458,0.5751621100851958,0.5416089837248947,0.587856515131027,0.5489150786261541,0.5512007226345494,0.6969886318504152,0.6182927554519474,0.6736153790202357,0.6437655895408404,0.5888065414829573,0.6926317554011228,0.5455133791870674,0.5894052795634926,0.5499474546567085,0.5897222554470746,0.5750363294584927,0.5822873885447349,0.6738637701803188,0.5802697726246848,0.6622477110415713,0.6119684770511051,0.5650968179642682,0.5961142775154368,0.6069180794274004,0.5516302057754947,0.5280388179118283,0.6005671780064388,0.548860541316979,0.6014649652941346,0.5898451655737976,0.6209754648987961,0.5786257986351148,0.5689386169350007,0.6258587060606463,0.6383438456885052,0.6538784891611763,0.9409028098314524,0.7528494095311244,0.7020978498605032,0.6323097523787902,0.603156683457431,0.6370182226352833,0.7933123831859585,0.607493747268837,0.6204195256844185,0.7019844376776553,0.5900539804664996,0.5967811501629113,0.5927262179577489,0.5591306158456009,0.5711649328732269,0.543195631711493,0.48720433074129,0.6707005798994139,1.0420342771989641,0.8098227177998489,0.5112553101419968,0.5185161478426293,0.5281644239803895,0.5564463306385783,0.5886886532075707,0.5956662786152197,0.5964326568351808,0.6305336610016588,0.6468310668167345,0.6958270120032498,0.7984354224254752,0.7176894294336207,0.8772008664387798,0.8841130788430944,0.8248262182453572,0.6784669271903598,0.667247086211004,0.6706582142791263,0.650686802078821,0.6156683605651735,0.5863504095864319,0.6299369885333633,0.6550284580774761,0.6379851595649155,0.6344517179023995,0.6447671100305877,0.6012566915432398,0.6279872635507443,0.63811000715028,0.6629222792658896,0.7520591126161728,0.8683519423368695,1.263317414169697,1.2341948568057668,1.4409403093111937,1.25431528448594,0.9749442068544567,1.023339222534247,0.9208600201947301,0.9071970342809054,0.7789827110141635,0.6857417046055914,0.643478793218421,0.6261247129164984,0.6230965798088981,0.548068637089823,0.4991854080032792,0.516680376967279,0.5286404966650025,0.502782159143954,0.4810926019770289,0.6327190398145534,0.5601941939629392,0.5145761813498669,0.5498507182648498,0.6231618930740699,0.6353626289973554,0.6630282467793625,0.7807882577049345,0.8285707465861398,0.8699110610583547,0.8072637478337454,0.7794022745354771,0.6623927445814269,0.6524075677968455,0.7999211339039387,1.3138187911167276,1.0918924008770399,1.4021919592626728,0.7079252046293468,0.6311712496173827,0.6689074912105198,0.7321859273764609,0.6940915563729185,0.6292905606333212,0.8511187997110911,0.8462266066144334,0.8762025729603623,0.7460196765745037,0.8801545978796779,1.0029430029478201,0.8568239060899437,1.0334560719084254,0.6840421171835993,0.6359254714919353,0.6621072689238093,0.6461126856183307,0.7561359987447398,0.774982563470655,0.7561276169147351,0.6929331811447031,0.617053812166989,0.6337977412722644,0.6381734499866237,0.5137823967037088,0.5726664974579396,0.6697175208693248,0.5563168661045003,0.5685592855528177,0.6806605434477863,0.911486244827039,0.6524358803199478,0.6451941162065217,0.606465871140181,0.5721357634794476,0.5255825032630311,0.5806052148717546,0.585521978790363,0.5534813072612524,0.5750064400501728,0.6076194674205223,0.66655296134764,0.5998102690220108,0.6528523657974781,0.9152087446002417,0.7137405830369091,0.7324900385652693,0.8222733751385506,0.9951754997464215,0.8881610525414902,0.8123240771484712,1.0625828976547356,1.1708310685872458,0.9117106960051117,0.8336588130029025,0.7372082366936179,0.6832448618739017,0.8945159865716065,0.712478875064219,0.8409185061645209,0.8599888922133779,0.7016334952616312,0.5665225590173855,0.5593218932361175,0.522880197901424,0.48824074383225824,0.5362244058295464,0.46294940641774457,0.737971822102045,0.49860920633826594,0.41201015707335215,0.37585940841189597,0.5931389530883474,0.32523342666074506,0.493862241137765,0.5890892348660497,1.2816164872149272,1.305258764711825,2.1447359764675555],[0.9329161423822643,1.0142456679014618,1.361886919003896,0.7273455463942897,0.7282645419219054,0.7261799609027074,0.5933891325329609,0.5773677179861657,0.5518712116700245,0.4445302821925234,0.4442568229132477,0.5082378375947906,0.441740520067952,0.40402631146597817,0.4449379197634984,0.45595161650759974,0.45641726036615166,0.47034163995577183,0.6089453902499186,0.5181035144470595,0.5816384707430804,0.6405486122839059,0.9759477016528183,1.0750213204800472,1.3357122514149946,0.795067772063749,0.5900681295437994,0.46379317365471284,0.4512095405112044,0.39195591144916725,0.46736145962756986,0.4386623470319156,0.4568036605632378,0.46679005962720255,0.43272875657963217,0.4358461394516942,0.44280000208190146,0.5504287590247853,0.45401990873532655,0.5455715430845232,0.719454243025801,0.6599372647509071,0.7052026625474307,0.97411085820416,1.1246563262794,1.5292886820247926,1.5592134987296653,0.9261301447946122,1.0595067194663588,1.5593552410982385,1.0000838309536193,1.608397110416005,0.8355360282941489,1.0976862202910989,2.0766443977971103,1.3179164727032933,1.3116937421296584,0.9909330770435111,0.9401179981507092,2.0111873564200966,0.8589788803924729,0.7312354019875442,0.7202063112046097,0.7408703324740572,0.7533756483187796,0.591785694221876,0.6986486448278949,0.5444095252195931,0.7237159481246382,0.6487485206780191,0.8296676315021496,1.111639617236861,0.7757477901976384,0.8677607821190837,0.6013144661767403,1.053515201123512,0.5751837021574495,0.5140481664436651,0.5140292663066268,0.5658842295838781,0.4548177750089101,0.6145628430307972,0.8517963914695498,0.6024772822952046,0.5472265718486958,0.44597127526743874,0.4892538800790581,0.5727581856952828,0.45631960085968276,0.5209222958080257,0.47267008521640186,0.7255861977059311,0.6381777821894558,0.48191309905251334,0.47903466706465253,0.5340374358157739,0.5599201011234948,0.48790920023015527,0.48601943749679977,0.5573217001690717,0.47592507396349754,0.5501141080646914,0.48302518221441487,0.4996831457888059,0.6987713136224778,0.6136905815965799,0.6217534860722328,0.6277469287170357,0.6324563086060919,0.6985787345681643,0.583060429361534,0.5344459480674276,0.5206875316462998,0.4123445282480848,0.42494670395612594,0.40457102568383535,0.5017680660792327,0.5407569703782784,0.7006648891783497,0.5165887233609051,0.5299556294531081,0.4927103929586488,0.518255058533336,0.42595152285478366,0.4420478004591788,0.4108904172246622,0.6057885924485441,0.5591462668719854,0.5606301849206983,0.5774375634194548,0.5543182895241044,0.5551390966594576,0.5700750201385505,0.5516870232350484,0.5491549930417193,0.8306020363148697,0.7044086483803368,0.5606007052698311,0.43973434446175247,0.4210823893127501,0.6288543011615058,0.8290283084077336,0.5937388598798687,0.46924036795944196,0.5454083308596481,0.39911041644433637,0.38749985946224413,0.4056412874065354,0.423602190085851,0.5031089876698454,0.5102462304461087,0.545263031435074,0.716242309639109,1.0178725988483357,0.8582450559291243,0.5185381888733994,0.48562542424425525,0.49026239538335814,0.46777714166923406,0.4967298457120591,0.43003014003949014,0.40888477658164796,0.4316844140648643,0.44764591542162385,0.49409388808693727,0.6329057702910459,0.5812058299350382,0.8068565657592877,0.7793493908811002,0.6892659232244842,0.5347635139379033,0.48360932931512246,0.47893856362557236,0.46208496939336524,0.43022685520514115,0.43505012309973123,0.45237790153857516,0.48314370981392607,0.48651329095676166,0.4754229330910893,0.4727118293705489,0.49639298502199386,0.5119523895719752,0.5508231495048717,0.5247571024168222,0.6412919897554623,0.8109161096553841,1.1800614231746382,1.218086591667851,1.3007252739540458,1.236299168298424,0.9584672057713123,0.9618449883076136,0.8818883017680288,0.9136047194937206,0.8480174020465777,0.6990165356383644,0.6938591318184713,0.7423646448160557,0.6681278090643615,0.7003611807829772,0.6431990551537305,0.6437268304737149,0.7691241402158466,0.7819651176669585,0.795865653920132,0.964283650768038,0.9439873065822456,0.8769419484316887,0.9446340797394436,1.0237760960370177,1.027306458388124,1.0236796830311317,1.1155485274161456,1.217749301209629,1.3421258287629183,1.108858833389246,1.1456909352157467,1.0315547068968312,1.0033099027719536,1.0882669403319523,1.3561730011718798,1.3636668695316332,1.6521915102026572,1.0127078322274738,0.8675507966801134,0.802778670819225,0.8883724564205597,0.9003428430229472,0.8331372909430044,0.9836108287991334,1.0864485387114078,1.0354353908256306,0.8785166464385651,1.040283413808661,1.101166529523421,1.0235947126465343,1.080214031023442,0.8120279556493618,0.745699164341516,0.7562274540732778,0.7750012635773669,0.8254437731912831,0.8178560106723562,0.7926182804081066,0.7427003449882509,0.7528002786902976,0.7631887582869809,0.7156256748413323,0.7519630856468018,0.803828473269026,0.8571753328363283,0.852821567875473,0.8887506239819222,0.9594336757165187,1.144948348744553,1.0172681409175406,1.009829886620504,0.9799778961027916,0.9103682235796291,0.817969806712772,0.8713163632024664,0.9400076197015744,0.9102124608121581,0.8797438056517246,0.9521079637111762,1.0449449758091163,0.9158035080497168,0.9452120468232216,1.2630860860147826,1.0517228145819109,0.9526416206989295,1.0952672753750885,1.17599416201115,1.092564723244994,0.9941072631254778,1.1829075940324552,1.2000528038249216,1.1088422069054655,1.1826135826163584,1.1257934523214492,1.1504366889725048,1.3885762040849678,0.9838163794505332,0.9087866130733376,0.8695869851712469,0.802681449678402,0.747778920692739,0.6626514397305913,0.6921045322699493,0.7128902837044823,0.6431128783001837,0.7161736102392577,0.992960219110515,0.7312598730925015,0.7755425672261308,0.7301700664290396,0.7586247756151556,0.760962672493267,0.9835209050260146,1.0746239590603834,1.736857153171044,1.778968330230507,2.796920592989689],[0.49194841684837237,0.5516754852463293,0.7120797788436667,0.34786238821864707,0.4109295836562702,0.40129093192712173,0.3013829737937243,0.3053966333624848,0.36403552410379697,0.330372064295633,0.369925461413017,0.4025494916240697,0.34290380802306153,0.3626074382171229,0.4292746429864599,0.38316293763553555,0.41696300254872043,0.4171543621816343,0.5019425230902294,0.4678712569292386,0.5616469419140052,0.6251613534027364,0.8716355882209956,0.992549617991207,1.2766363861892283,0.7718432349474965,0.5494939815504037,0.37678143667192865,0.38596931194853523,0.35648157081866955,0.43924595924001986,0.3945889958138662,0.42628858186171864,0.4486471364853366,0.3848777148298523,0.399051682393868,0.3826703867795136,0.49489089552930066,0.3984836767664559,0.4666969121837052,0.6353869077509521,0.578764932367918,0.6208183558346818,0.8587539208632455,1.1611539909809117,1.6363431050692994,1.705922514740958,0.9494037362341047,1.1151201722011026,1.586336285972031,1.019936662153883,1.7780387679020269,0.8503568388710179,1.0304244938389198,1.9033177870446447,1.1219336908452917,1.1016825301758237,0.9147435302450537,0.7865288266321162,1.7645729601869635,0.7567823917460764,0.6468961159962703,0.6710209818200368,0.80927884342739,0.7010038354062953,0.570066222189454,0.7563161047672161,0.4943974652567318,0.6718932513293707,0.6032083728225855,0.7663441442234791,1.0768243365183925,0.730160381842749,0.822884904140289,0.5941901691797797,1.1249185308361396,0.5125849820803108,0.4776536939514333,0.45998907772424813,0.5947392930731816,0.40000757362935635,0.5655987825110526,0.9005275223734786,0.549648555656722,0.5318284714153321,0.3821271940746101,0.4147288096431879,0.507788863650898,0.42443940815400655,0.4801515371880751,0.4540293332662874,0.7688557276605832,0.6541899718646946,0.47080358470020467,0.45951198392756976,0.5431054114849189,0.5481943534147847,0.4588789886061773,0.43227788262633665,0.4881985767515932,0.3929750001455189,0.38733476299219466,0.36535862445198874,0.3952074890291252,0.5482966214668902,0.4580767767442195,0.4813855960261703,0.4988304397285846,0.4420593146641262,0.512212821800637,0.3517361459065788,0.33675132416460485,0.2949937988430835,0.29070120193158294,0.3458351391863248,0.33847495077334516,0.40950423540515174,0.36841930092163017,0.5867472228703097,0.437515482823753,0.47031412118232374,0.4553034931922221,0.43544009723102606,0.35010081325594306,0.3174239759789152,0.2924431585038306,0.3210376227298476,0.36252446247778214,0.35926113472466936,0.4314651303516191,0.43565474657491715,0.44714005889818736,0.4987434083571665,0.46758599530681905,0.48674495319702077,0.711311230023595,0.6001364596424446,0.5274472511746762,0.42883069479677505,0.35246276002948174,0.4398504459184992,0.6980957677730967,0.47086099904945733,0.37952821629312206,0.529577831573883,0.3249266374018009,0.32202094531482833,0.3247428801471872,0.28595146159216694,0.3452788162283575,0.321025705001637,0.3677640309372024,0.5660826895555212,1.0524937544419228,0.8530143425318721,0.3864193646960869,0.3432548053608418,0.3044305672896196,0.31267507233414576,0.3436278856456584,0.3503917851819786,0.34949665375747185,0.3801922922353277,0.40910595229332725,0.4916216208638612,0.6538662887455422,0.6015590705267921,0.8246357149923182,0.7900371152091402,0.7006463895166999,0.5610732357929362,0.4765479949541539,0.4563391699128876,0.4272112138640362,0.37660165049686145,0.360130736938502,0.37144475279556893,0.4248317570299258,0.4564414194903338,0.40874209112356535,0.45232870600635305,0.391715981023841,0.43450164656568974,0.5388772213067398,0.5258433652548447,0.6528775709829678,0.7932981530302508,1.2195681977644457,1.2218828877617711,1.2478484427640695,1.2589489986696873,1.040039061580437,1.0072013674428593,0.8684362796834694,0.8796187977490435,0.8300581862488416,0.6286809782383301,0.6276874810520402,0.617288571424869,0.6129214974168976,0.5391537899120015,0.4777694683709455,0.48576373312742877,0.5272709196083363,0.49951325076368547,0.4849744957429846,0.623748316615711,0.5764296452871062,0.5263582624869624,0.5682839168604789,0.6526136792478696,0.6594747227317971,0.6860927358718569,0.7966081768108286,0.8589808119046796,0.8993511237452038,0.8365555864264178,0.8150020171615542,0.6898069001240252,0.688081723611357,0.8394423632004853,1.3023182792948498,1.1038340269306137,1.3538115417059673,0.7254939959441283,0.6416424282547075,0.677016374453265,0.7578262649704571,0.7263044720404752,0.6696780614215977,0.788496033176297,0.8708213631127539,0.8483093129885622,0.7176369212602349,1.0157830842827629,1.0553934277708659,0.9184296000369044,1.097218464035465,0.6928095121300022,0.6635017550837518,0.6675409813162361,0.6310648546023048,0.7271903540576578,0.7118184027841772,0.7320677252650545,0.6269275369988303,0.5913163977026978,0.6310674166442619,0.613532685440531,0.5044863180613778,0.5674554154072576,0.6572291603907114,0.5648752726049653,0.5811604999602521,0.6894666898685796,0.9284402600832982,0.6792532627790974,0.663387737733929,0.6266554883635223,0.5759117225075391,0.5223576379711335,0.5758156827055814,0.5951155978407544,0.569245562792083,0.5816766367804668,0.6353239511098563,0.6876699116434475,0.6357968858726172,0.7034899153915415,0.9561934448306098,0.7652757686187089,0.7995914579884017,0.9216116543956637,1.0631940529761776,0.9480689950514679,0.8530378823849327,1.2372887840160463,1.2476355127398016,0.9382481013053171,0.8773617257487546,0.7563372303070037,0.7222983818082094,0.9587405387823515,0.7279316644480015,0.8482705905767768,0.8256723276899702,0.7148968206553599,0.5482169480298732,0.5182288636622334,0.40378748946098597,0.44650740266537,0.48021284290415295,0.4455908115454111,0.8784717051516252,0.46126642179842453,0.4370993340819583,0.4064680077475194,0.5740345617614183,0.38725351647309164,0.5443642629957188,0.6988912108291777,1.4577371356803606,1.507092566097292,2.6496160418346237],[0.5056643738912753,0.5788842376668789,0.8171905203547997,0.36480759558104353,0.47390092688398716,0.4485895477314624,0.4003706368657394,0.4196717309663613,0.44166076473535604,0.4382472305217489,0.45565268405091064,0.4826347350110898,0.4840814139169186,0.4837937429070558,0.5647282820116512,0.536737614840866,0.5519429808535296,0.5701758689924536,0.6653675285775151,0.6619258467942442,0.7761322418605212,0.8118206379888269,1.0290207169675218,1.1424322427512543,1.3793422698919735,0.9365220913303867,0.7391854687302586,0.5586216327794565,0.5510447779395014,0.5289634508718705,0.6071349724024885,0.5420804802687276,0.5672280209846873,0.5877352326465908,0.5662595390867563,0.5939027521777364,0.5362238563951303,0.6465340491613265,0.6028994673172011,0.5684144861591555,0.7065276256821892,0.7282990844619223,0.7472697829798729,0.9183588217785866,1.3246016609234423,1.8054698013858033,1.9515237368030758,1.1275780741204617,1.2411710073092201,1.7200072476514463,1.2144313050811228,1.9946602060156253,1.052191592254616,1.1065427831890755,1.770750787524062,1.067570973710394,1.018083955691131,1.0484283054977528,0.8041459292831827,1.6552426293654796,0.8824001531375071,0.7961890507967025,0.8264677870821219,1.0032657969289944,0.853508790430778,0.7442302923986501,0.9431107653156203,0.669183494085813,0.8011795569216582,0.7302593479722864,0.8430887377091566,1.1964301113292704,0.8317151932479337,0.9388443694415136,0.753608967200403,1.2675358465394442,0.6784861073138612,0.6500203757578936,0.6378585423481283,0.8272400495964908,0.5771407541027388,0.6175971809163986,1.036436139596291,0.6983941597766381,0.6777201855316979,0.5281751303873407,0.5752014537577198,0.6364714206864818,0.6376104564024394,0.6238511210435357,0.6215163728004987,0.9388166188759153,0.8205017862406324,0.6273983516685865,0.6023836044697585,0.6493548470250815,0.6545404821625475,0.5864539240405701,0.5374191010971434,0.5510881421982674,0.5102848775895987,0.49623383036685126,0.5355160731483939,0.5135803733519567,0.7106512600772134,0.6023259793606319,0.5263219731088452,0.5513598194683569,0.5029103284367822,0.5683123224002079,0.4178346279565068,0.47551891210035807,0.4453719928244646,0.44443085714665964,0.5129471460854781,0.5216416678810444,0.5519524529013583,0.5399430530700243,0.736074969789237,0.5757270027303738,0.5959965135186315,0.5652178878226762,0.561687886084435,0.5079531955754921,0.45191504351828243,0.43419307277329294,0.43456022962632457,0.4909322681004328,0.4567071022508056,0.5727359629855984,0.5116110381233799,0.523132256795763,0.6226154078833207,0.602670293665237,0.6241732416003878,0.86093074298555,0.7094110537515482,0.6795956853244602,0.6061298647697912,0.5241724400324852,0.5207077590668812,0.7659771448571416,0.6249331252536526,0.5676757635551473,0.7462983454677985,0.49779755625443606,0.5064257885386928,0.48970995810651047,0.47078960440113826,0.48906768222006064,0.42321646789481204,0.47107506679059,0.61999287065515,1.081643287537024,0.9018154274423051,0.4664054229339629,0.4531083230153638,0.4466826118528118,0.47660972601589485,0.5049864116043143,0.5516972169365948,0.5375563438882447,0.5565033363364713,0.5833967450382542,0.6502901136090826,0.8001485204727404,0.7157996237855991,0.9005893568218557,0.8806091400994263,0.7714115378102188,0.664989191275263,0.6373485810769166,0.6200094362125258,0.5895291176478219,0.557185552617481,0.5454749519322031,0.5441671736695539,0.580553092202854,0.6076793134527781,0.5770862827693666,0.6389624400002648,0.6028378221162979,0.6503279435765819,0.678165656091183,0.6358449535231964,0.7013260393919022,0.7483292558950387,1.4691786819980042,1.3611616580458583,1.3030999777030525,1.2340686443401134,1.1856438497603667,1.1657292331553408,1.0263745658186425,0.973278284158928,0.8994804491233129,0.6955579866735007,0.6603166987927596,0.6491512966883026,0.5829369102936136,0.5429707455856623,0.4575026984070001,0.4627732015158661,0.5344521480890969,0.5085037694696942,0.5015705790288816,0.6527238835930314,0.6155612803448093,0.5423098690375096,0.5914829856566838,0.675167828971882,0.6764003700145047,0.6950057570652328,0.8056070923929028,0.8825610160272027,0.959837370342649,0.8365437362108384,0.8781477631633806,0.7340975161000692,0.7107872383118574,0.8825025756670417,1.2876363388281447,1.1451636992101828,1.3908850545306748,0.7828711463836269,0.6802776349303061,0.677242804953325,0.777189695373704,0.7557141269403994,0.7019203358777054,0.8352234687147013,0.967183630676835,0.9001584197149938,0.7573778544572138,1.048946759891077,1.0728596672807802,0.9725283331948023,1.0862430924158242,0.7162454921276236,0.6839256502432962,0.6726739906994288,0.6343002635440897,0.7141084444096372,0.6792664219805721,0.7143147069720301,0.6056457950627645,0.567669256150316,0.6180231107622143,0.591791241959595,0.507119375335296,0.5665003134181658,0.6530654414984073,0.5694963487905691,0.5831894479121739,0.687918578394528,0.9252070064182861,0.6906846731975764,0.6749816779010662,0.6408120724436304,0.5892120114156844,0.531141849876465,0.5936143110281143,0.6299580713131915,0.5981914760798583,0.6144104844113203,0.6853971038665692,0.7559799449425141,0.6787227737903478,0.7562230333341244,1.0513944290371318,0.8356503599079157,0.845720554158654,1.0129078954790733,1.1303425249120584,1.0102485186300598,0.88101981163045,1.2741715275411842,1.244002504697202,0.9657375036331828,0.947385306496596,0.8206197280407318,0.7837115837373789,1.0497182074547293,0.7636212461699796,0.844287533828673,0.7725624830295528,0.6722009001277996,0.5427937995747584,0.5103671026008281,0.4848048630762393,0.4517104823019293,0.4772091171372285,0.47398366151446425,0.9158355712126535,0.501917607476535,0.46173415316110655,0.4402798111240474,0.615877309584626,0.42565633371575773,0.5891022176517635,0.7496246093453357,1.5040156142251393,1.6023077576929052,2.8244854148795637],[0.8047236405339288,0.8431279833022289,0.9404657325905168,0.6707842012976247,0.7034316399279871,0.7718274208712702,0.8155881047019523,0.8522533707772504,0.8908394639049609,0.9130620991986832,0.9126577674490624,0.9570901647097968,0.9339100156453056,0.9423636004011011,0.9672222652786961,0.9569548211780651,0.9706026870189489,0.9114512354903237,0.9162263606425416,0.8962386661381223,0.9310343080882189,0.9363560630163801,1.0865981890028071,1.1648336154859507,1.4606952696929005,1.1041139089483056,0.9287604698030644,0.8615337066635813,0.8873854986521303,0.9454416664402414,0.9690097676376866,0.9676823189698516,0.9887119187126141,0.9397822816393939,0.9502835685030158,0.9358181050651742,0.9233212301431254,0.8884258358193022,0.8673958474077317,0.8278326540439311,0.8693807766598226,0.8877003871625485,0.8963565688087329,0.9275303544686234,1.2205325121322745,1.6637697908755251,1.7419210689912683,1.031081876641506,1.2310660363675747,1.5892855713402345,1.10024809534737,2.127841198849251,1.1099428123174258,1.1124332082883321,1.7058264353594383,1.0509848039674838,1.061707383204416,1.1659524393972074,0.9795493688951756,1.6430789451555494,1.009696744398062,0.9566231832179521,1.0704252306203847,1.2448156807766977,0.9534563873960767,0.9618725746982789,1.1559694213966731,0.9230792317942669,0.9584825877754265,0.9809728269166417,1.0300068264004563,1.2183624821509607,1.0128025197600485,1.007528189210803,0.9816278398090251,1.4091934665281574,0.909073728778447,0.910642578961884,0.892253753883701,1.0151699718702614,0.8970579115450811,0.955347186239074,1.2548861855049145,0.8712690802211233,0.9034525702083686,0.8603696089553826,0.8602819541600935,0.9714627679046758,0.9166223596531402,0.9181129961844747,0.9089764479786551,1.1544746694806096,1.099956764592584,0.9860396675175815,0.9893131677454196,1.0008525920494926,1.0232971929182926,1.0183352715303577,1.0046811472936925,1.0266067740639175,0.9668683106620685,0.8958423324226682,0.8952240707591473,0.869485089221358,0.8958614330709761,0.8206639305266755,0.7589261050700044,0.7377710457906573,0.6936459418588173,0.809706986081941,0.7253006950495446,0.7709453921626106,0.8204102863186543,0.8064238864087654,0.9107055919111542,0.8673521437688497,0.8894349859313626,0.787744082159284,0.9024348714161409,0.9161908546232181,0.960922458797199,0.9736605014408498,0.9245391740433917,0.8999742218386871,0.8860632876208233,0.7351707243328195,0.7461620439000971,0.7027196023661393,0.6725331270235675,0.7656822964543264,0.627205175413258,0.6462183455064531,0.6839963945824913,0.7589180059753381,0.7340621435142708,0.953832962021632,0.7792735617398637,0.7717067946753812,0.73766177198817,0.7133662781064852,0.6040050169865777,0.7639667071050376,0.8255210577552823,0.8221806432424164,0.9343960128100338,0.865323796238052,0.8741869743393129,0.8904545137895318,0.8443014526558624,0.8931360720155829,0.848883173081509,0.9510134641993095,0.9839256721868266,1.5337433761615178,1.3439477233921375,0.9488105959896801,0.9285619022489321,0.8772220184206578,0.9065162318613467,0.8322155498378122,0.8422028676859875,0.8602239256776187,0.7955922092731227,0.8218623412694019,0.7443934464227582,0.8300177578955487,0.7201607962034334,0.8301737885128205,0.8232824892033169,0.7709474377475497,0.7044634662206182,0.7292951307460809,0.777812648672248,0.8154989846103405,0.8436533878082202,0.8801701783047714,0.9144787005102032,0.9327440834499703,0.8959567657037204,0.8507184487383803,0.8253906481187573,0.8111041246073228,0.7906318037127812,0.7875074944367981,0.7883779883454076,0.8501871372406198,0.9627228563492404,1.4022741469670066,1.3444523292990385,1.2404415403925686,1.2380651822140705,1.2486838531690745,1.1264392258072875,0.9744771698594394,0.9209262740789712,0.830154309939173,0.665380841052737,0.6523550517432233,0.6326848844584424,0.7038306822651291,0.6123382570972346,0.6640120942494108,0.6693930233584034,0.627286762151189,0.6462039862219365,0.7012261800220813,0.763811662622472,0.7003654512235676,0.7386662507023699,0.7831629429393557,0.8029726131602417,0.8195041382486271,0.8864761303702332,0.9416328872117565,0.975334952641811,0.9844642034127513,0.9584424614128548,0.8500206408965978,0.7502673165527706,0.7941311465207865,0.861515836773582,1.4190837718238845,1.1253264455445633,1.4083367780510028,0.7747511124889769,0.724614267635419,0.7784662253559652,0.790895044454892,0.7514470437343281,0.712249565812752,0.826324812583569,0.8950039505645642,0.8487489341195594,0.7101159462960724,1.0266339074292679,0.9697948755666832,0.8755156758858524,1.0598135593616547,0.6727035795704117,0.7118988737927477,0.7375207767675953,0.7609511386523822,0.8961192058537917,0.8814412828770725,0.9401873020751171,0.8109979029822855,0.8026116047337533,0.8928179776823276,0.8777348194585023,0.771003831435276,0.9006012970825815,0.982880109662404,0.8602310794634931,0.8422183661879474,0.9704186883522181,1.1341230367925221,0.8813858505373272,0.8510287848882196,0.7994404364709042,0.7438375813316,0.7080601303976386,0.7053179291600485,0.7118699817590123,0.6981312469488763,0.6678736070589189,0.6900195108361619,0.7364033056787651,0.6764440802049123,0.7115825116510431,0.9614817169371487,0.7843237894196949,0.7713417572719233,0.8920024815287482,1.0228029776856946,0.9171437184819654,0.8424931368456684,1.1922504073904303,1.2443288110365394,0.9709333799473031,0.9084860731477759,0.8159640660438456,0.824872455077306,1.002561347417927,0.7550709711474531,0.8440942610256623,0.8254072690564164,0.7158589626828263,0.6222160379786218,0.6102068127622805,0.651363288148171,0.6750227050758655,0.7737284384031029,0.7773629364855039,1.2876088351066741,0.8523853915805738,0.7775118240077441,0.8323797749290043,1.0059039469946933,0.777931803986689,0.8458006099529123,0.9759277091037794,1.6081691367484907,1.8224670174848723,3.0742285705010786],[0.5491762864856347,0.6291669011960327,0.8981773512539803,0.4407820819153982,0.5009948540237011,0.4850075719984722,0.4069696869085897,0.4128272939729141,0.4569672143453596,0.4032417588443067,0.4170861886739998,0.4599278050708382,0.41115592347473556,0.4033461564023174,0.4466412858237393,0.42359162745567197,0.4282843913577237,0.4142363069246146,0.48371919451436984,0.4546100878521894,0.5302277907795,0.604094803944698,0.8376880561411724,0.9508433334411784,1.2494173641681232,0.7304684284274722,0.5325249169706086,0.36502702387589964,0.3837688015098395,0.3647954135393656,0.4576599301373368,0.41116753001491135,0.4427179793832948,0.44117224225004986,0.4026766476371758,0.4063888725271562,0.3863139754489508,0.4816512381958219,0.3844413289977354,0.43182184536286683,0.6266426102305775,0.5739624258350655,0.608067623185323,0.8375458667799727,1.1059557607971626,1.5544129333716552,1.5619864423079504,0.8771358585167551,1.0649351673469651,1.4798828614999877,0.9063881599132809,1.7955155931749982,0.8006540427284189,0.9790452514326498,1.8728750844465136,1.1231437702618798,1.134097818017451,0.8775508513070922,0.7705739741998279,1.7963315226257457,0.7535789800993227,0.641341214745467,0.6784968045374128,0.7579832635805172,0.6837637644588029,0.5607114863324,0.7177311560874456,0.47325143905183437,0.6313355232003619,0.5806529952371455,0.7343092912742005,1.0160360472193037,0.6853517390463886,0.7935823530621854,0.57163950389567,1.0994561911868719,0.5009258211301733,0.4684663724715008,0.4563377009344411,0.5787668944929234,0.3956973516648243,0.5442159773085712,0.9100388112665937,0.5216354883471733,0.501446532894944,0.35722549674846144,0.404288165927871,0.5080173432234373,0.43101774008299987,0.48220816813175144,0.44622273754489616,0.7783529429162669,0.6731466291295112,0.4871167998136743,0.4796122497877321,0.5531315206376132,0.5718940956372369,0.48387629981078606,0.46756421378625784,0.5134130730463373,0.4284650951549764,0.43035195422957634,0.40613785480353715,0.4209317806100856,0.5695594006358238,0.4945558531059252,0.4585028783341904,0.46573210666639553,0.42842846736213414,0.5358572483926421,0.3801279079195682,0.3676111876095201,0.3680970126714365,0.31844619130908125,0.39502470842980036,0.35861467774320793,0.421531191793034,0.36555214166114125,0.550730566112492,0.43045012362390855,0.45162437451906695,0.4957171209136829,0.48484711334376046,0.413504620067768,0.4127335307323334,0.3257078189761924,0.398302177403113,0.3898388794775318,0.3813746307337872,0.44722002729234556,0.41630522634483497,0.40780542136721093,0.41832184135094985,0.43052168219055215,0.4206963569512906,0.6498855876204722,0.5969902599226864,0.45959994069607946,0.37589853262686,0.2917192309715846,0.3897641765641356,0.645102928710521,0.452859698011662,0.3591522769561013,0.5141526114871974,0.3174186793576532,0.32134825949397267,0.34060704059941627,0.33145756910564517,0.411012138681579,0.3686013960696327,0.4435534893316373,0.6035474639122429,1.0510955165774765,0.8776118563644605,0.42152856148473994,0.3921775351666848,0.36310689388848494,0.36664886038485284,0.3844099302409195,0.37001598215929293,0.3470751051793142,0.3427714915831966,0.36601169421337926,0.4041129686241889,0.5699068567852884,0.49405463946671957,0.7185957485696071,0.711502555458553,0.6314478683683351,0.4721172204818546,0.390587143095511,0.38713773018273456,0.37217684760918024,0.3522328582783467,0.36914831111530355,0.3945495135638098,0.44553318574856204,0.4255448190232212,0.3760045729498585,0.39199237456674824,0.39386926147019635,0.4005825096919235,0.45175813317134866,0.4269965043726874,0.5913915592587519,0.7523676537743079,1.1285056108652027,1.1287269265928117,1.184769385309622,1.191280259606457,0.9964499570030548,0.9366577635749681,0.7995869050355832,0.8017422114270145,0.7445845958602024,0.5637155274955468,0.5653741963788852,0.5926148014675725,0.5808256701042283,0.5025880846576777,0.4601011618623373,0.4636739514856526,0.5128679489552754,0.49616083104176734,0.5211206965893496,0.6636392374414671,0.5939118167692594,0.5518160721810891,0.6158230060536773,0.6848198535734942,0.6788551953285498,0.7132238379895228,0.8213420171342162,0.865787318246386,0.906606093772747,0.8231664027436382,0.8024939810512007,0.6955905551459698,0.6791411854757927,0.7978730778598135,1.4106757992425338,1.0846110535973699,1.3214236213264343,0.7112809518023209,0.6344700500413669,0.6643839117393419,0.7401719439986522,0.6751954714323816,0.645811693883383,0.765286982481411,0.8714426349002572,0.8364552664281958,0.6837073366257108,0.9941008165431124,0.9804280791218983,0.8739004100442453,1.0686420338150326,0.653954201849992,0.6271413075923898,0.6430470871906039,0.6329982179590082,0.7215904362768888,0.6841654554469481,0.737627403996131,0.6179574891902867,0.5834483033822966,0.645634388292388,0.607586085972064,0.5253623125243753,0.5994668582378301,0.6880755970376227,0.5957481435236337,0.5987391857184121,0.7103089918072868,0.9374900790453643,0.6921872546953286,0.6702203267084061,0.6515323527161951,0.5862191956816003,0.527637236242069,0.5830243864018382,0.586490171690406,0.5719029855484329,0.5704653811007411,0.62302506820013,0.688044229304371,0.625667379853356,0.6807095604520944,0.9273802746622021,0.7652852442307951,0.7732431173599104,0.8863579323940762,1.0075126587374057,0.9187204433935728,0.8413691160550923,1.193712526659959,1.249454437053053,0.9003477570395791,0.8829069806131712,0.7853807662417406,0.7698773272641207,1.02485546279775,0.7451773263126111,0.8145010666448326,0.8327902892558467,0.7076017157537591,0.5420418968465825,0.4929877158300143,0.4357323846060877,0.4669703960627045,0.49297957074477705,0.496438200332248,0.947011720810819,0.5225898129128854,0.5010344172264738,0.4900216318624262,0.6286474264942212,0.47520225618676826,0.6386471801090919,0.8233243085861538,1.5544962618770553,1.698169260322951,2.9418094889393203],[0.6584903640599659,0.7687829139131099,1.183963282939173,0.5635905507186716,0.716281902554244,0.6604995972277109,0.6527893232908841,0.6846431302198202,0.6594815455393234,0.6291796896035822,0.6094632244801204,0.6624002163062698,0.6758588176732058,0.6124191786616682,0.6455422655636912,0.6631718187801456,0.6249753277302992,0.6073697131671087,0.651293598110676,0.6578732039016855,0.7234933893462568,0.7990679342080933,1.018927296570439,1.1219849579442507,1.3648014537794282,0.8533726266248771,0.7245668028252455,0.6145698537560206,0.6198431598760968,0.6273676733942576,0.6893986272908729,0.6547712387801637,0.6654113216555158,0.6573816059654891,0.6665619142101536,0.6700030326654571,0.6540237206473416,0.7280667465042615,0.6484266557821217,0.5940853672058749,0.7082159788360138,0.7330099966102785,0.7545106283222599,0.9585683085957745,1.2953915429061436,1.7634970919282238,1.863692761024638,1.1012913460132947,1.2269944107242976,1.710315762410001,1.2078590763932429,1.9443481144966328,1.0240085469742817,1.1387005065632894,1.8437448615423229,1.0897982037554883,1.0532403008132527,1.1954556006525119,0.849778939846149,1.6752998055879789,0.8442395348937508,0.7701685159783526,0.8583885737738499,0.9175647905855734,0.827687493872875,0.742453959859619,0.8778141431793345,0.6482618751310258,0.7236997072501762,0.720075069050298,0.804196816544421,1.1259351171769978,0.7709868432357576,0.8996319118741198,0.7104051193883568,1.2305344695970502,0.6802801219036372,0.6804879843224773,0.7005420807137603,0.8638401452339718,0.6417138461362635,0.6515729056190042,1.0734836662809575,0.7987099716016387,0.7444954419816877,0.6342009979521958,0.6418917760204399,0.7107271374490797,0.6986131760648,0.7039130666313502,0.6801096267250125,0.9818690421409424,0.9005271082329936,0.706881474759919,0.6830300343368048,0.7278118563184753,0.7471809402875944,0.6883895278140235,0.681949865022774,0.7001936400307777,0.681543806597581,0.697215225512849,0.7219262502612717,0.6886387116618189,0.8969666911766282,0.791974199691412,0.7081155720929923,0.7133530823844708,0.6864127882496889,0.7493911814985427,0.6445412463414195,0.7043472938182399,0.699876849612631,0.665596670687448,0.7094364095032538,0.6879007818862667,0.670932218052623,0.575369051376905,0.6619573033965044,0.596164530981381,0.5997460199140786,0.7036270754345094,0.7319540793015845,0.7167492015337772,0.6933653320742869,0.685444575485534,0.6964973146584322,0.7101178634415404,0.6531345112080227,0.7439053977231173,0.6715316195078656,0.6767267609393778,0.7339315771261211,0.7502243719556301,0.7494275838333796,1.0065898255563892,0.8429901639768812,0.8248106051199487,0.7414234983989825,0.6377560799316522,0.5706839595764386,0.8357300348618152,0.6306204211047406,0.6156621558397936,0.7428485998357647,0.604524810826731,0.6322435346923199,0.6452071457988069,0.6668978900845182,0.7121800700371735,0.6394406267947598,0.6892856806339872,0.7969456731054912,1.0929455962761268,0.9860614779352447,0.6534565379603706,0.6518654955164418,0.6669899928112154,0.6818328004435725,0.6927552222255223,0.7128289008581777,0.6874871059110582,0.6741055962527649,0.6768819474477573,0.6995005307659111,0.7963875010476654,0.7332989977587606,0.8617316094109713,0.8616834593626757,0.7818900952157356,0.7212008986487041,0.7269139253090766,0.7183081538659153,0.7140480626605156,0.7010540603080226,0.7104785427268868,0.7111936614834978,0.7169164188986673,0.7362553075511482,0.7314410155393559,0.7462636834384686,0.7776935535680664,0.7786373931881597,0.7610890704654822,0.7194975011777437,0.7386875092956191,0.7555264908148582,1.4650453675575434,1.3304307392976733,1.2792848081505117,1.219377486072939,1.1949116044003478,1.1556345610436416,1.0454593051353165,0.9982260687430216,0.9240376338013198,0.7606781778625759,0.7436208199626587,0.774797632695137,0.692027263527633,0.6884513259470489,0.6259672417929586,0.6339715909390102,0.7131801095527246,0.6943781927538697,0.712129776510519,0.8546174627986098,0.8033037787849444,0.7332342633239793,0.788391210083408,0.8338484082150031,0.8227727376497118,0.8398910662423339,0.9323077747841916,0.9886697567568157,1.0832305819931956,0.914361206686776,0.9749470683705352,0.8726005583582868,0.8348054483967897,0.9713988858438811,1.3702244429727104,1.2392799120161042,1.4426143313065802,0.9372044854978343,0.8354558754537502,0.7940961025450832,0.8800733584911056,0.8638023012919879,0.8465420246715821,0.921638124411024,1.0812719816224226,0.993972892164886,0.8493975388611599,1.141198531968251,1.1213164473618304,1.0557711915388064,1.161664735011577,0.8173161528468786,0.7857466434872047,0.7740129060085588,0.747445938537995,0.8100203450926273,0.7726597280678167,0.8249072483713802,0.7163353249474791,0.6939323799788945,0.7527422897036875,0.7157688735836047,0.6875468957092066,0.7192450477017658,0.777148939763776,0.7334912651501122,0.749514375164084,0.8071483164340628,1.0224764289623909,0.8375921928067915,0.818388091064272,0.8046902952651431,0.7627459195336834,0.7103568258312718,0.761503536321274,0.7989097479714183,0.7760046133717698,0.7820719256452053,0.8468126357630124,0.9325235699948846,0.849982672130351,0.9114312571846147,1.1820589016605736,0.987791220995055,0.9646493877230982,1.1043876943380977,1.1746539700476224,1.0684141504618807,0.941418027424519,1.2818306013168197,1.2661398273114768,1.0065449879148785,1.0637971966280821,0.9661251303572683,0.9606317829430462,1.2414454199020344,0.9165482313796063,0.9156516744599704,0.8644083911803411,0.7657650271732187,0.7130173135365594,0.6707531569712953,0.7297102386983241,0.7085761814956208,0.6620215244051818,0.6916098314834296,1.0159748322810713,0.7175813415187368,0.6997620411979403,0.6695122074769593,0.7457482197709366,0.6420913889022424,0.8348871047878004,0.9995242285713598,1.6827718607687472,1.864758087758376,3.148616545331978],[0.5774958362993043,0.6086983306051512,0.8431389466208049,0.4438222665790041,0.5111086984044124,0.5507395479919721,0.5077108939502127,0.5476449171400498,0.6372356887771684,0.640666192634897,0.6540882579354463,0.662242326326856,0.6387999107645855,0.6590855445156786,0.6884761220099916,0.6393840318544757,0.600761384937184,0.5933648312966243,0.6389619706377152,0.5889163081236145,0.6381144366414805,0.6884226820617095,0.8902216851065061,0.9854748762187893,1.2673620276583197,0.8196469226076846,0.6319272957051943,0.532500308355108,0.5640716474990621,0.5766558581809478,0.6851195465319332,0.6168982824633717,0.6724243677644861,0.6420092544172231,0.612367667003445,0.6081136219196933,0.5916370654401535,0.6425358292069294,0.5296381907755858,0.5425275298128828,0.6899798502035757,0.64197721688308,0.6944998591779833,0.8590684196966916,1.1562355572917178,1.5665327053647786,1.6548669256226098,0.9597270043572458,1.0892928683426952,1.43082350327825,0.9543257379779986,1.8245803279234292,0.9221947982503009,1.0177658966223415,1.723203828013149,1.0680974190773487,1.0453572673097307,1.0108671675168779,0.8136339184451388,1.7423308341712478,0.8379892759930709,0.7211576366713495,0.7574436743282434,0.8975123956684568,0.763109041451454,0.6733349141265116,0.8505223840152698,0.6180522943452545,0.7423484474007022,0.7648895112381334,0.8385595145298163,1.15986332192711,0.8135630154309469,0.9248047418711214,0.6738015893516636,1.2263454558888809,0.6199811477731798,0.6274030984463385,0.6162128180619554,0.7769145596890482,0.5626275589292576,0.6725846411969031,0.9743690895662523,0.6943229378334076,0.671720997425474,0.5332257292109515,0.5521801721936306,0.6530341300509928,0.613191339286489,0.6449377366721889,0.6526134543536163,0.9838872753013467,0.9200441148789676,0.7224830066428235,0.696583513228804,0.7673853464167179,0.8103086872091056,0.7018910627195789,0.6871841015517284,0.6827294262151673,0.5947176413349363,0.5606890224245585,0.5645067337378382,0.544591305630599,0.61213642660904,0.5577524369877693,0.5148052245438482,0.522412230027848,0.45698289443500084,0.5712062613281831,0.4422480488800272,0.4484573156909777,0.49211844738335264,0.4720327850591047,0.5856360339573692,0.5492889975851968,0.5625094229510794,0.5054795995825767,0.6886010458265225,0.5970158544452862,0.6486192145595572,0.7107128898494035,0.6728197961276282,0.6142985396663796,0.5540078466218887,0.47808948867187084,0.4763147275265312,0.46250906434450917,0.43888204805759146,0.48571738522727725,0.4707706901020229,0.45760625310325,0.508883931582464,0.510370060099113,0.5020192298360766,0.6482623205260446,0.6350162474853976,0.5401979081456755,0.5187201750938729,0.41589181367659644,0.37071608101165376,0.68736320753053,0.5762797389692649,0.48865995446933314,0.6256439291252924,0.49464680696337066,0.48472647361040394,0.5119189459366418,0.49237970797429487,0.5871107195971095,0.5303698168852873,0.6279611304000186,0.7163439212869858,1.1558588363337219,1.0460468058692334,0.6106630989556817,0.5963872936003037,0.5435363727241921,0.528150454388538,0.5006073877582807,0.49540364512184953,0.5212429581858086,0.4709516672388787,0.493840932406085,0.49411155815139174,0.6173903751406835,0.5468730727341885,0.7447246651476809,0.730874524857436,0.6444804119558226,0.5307288505493335,0.4900369581699976,0.48354794760701825,0.48337146901959316,0.4907896207438364,0.5064931313479732,0.5527849047510344,0.5567298202949977,0.5744702416464573,0.5087018895690079,0.5233416628328985,0.4991628962354972,0.5129882460754716,0.5311976280703965,0.50751340578579,0.6468624630862502,0.7884272702051119,1.3101009505438206,1.1896209516999827,1.132307707608366,1.1318976713958364,1.110971813658065,1.0225001393735436,0.8811774109062247,0.88024543159002,0.8306617063070562,0.6286180610780562,0.6187853699633103,0.6286026453470177,0.5829199759891416,0.507152773776466,0.4660605456964106,0.46368419020673934,0.4972786476322587,0.4716668237499615,0.5059711454496265,0.6271972480499722,0.5534219614124604,0.5155666763889957,0.579651404338077,0.6239905491097953,0.6161316936993744,0.6707677179784074,0.7730395563000195,0.8072713962460353,0.8558643861277045,0.7585635670695694,0.779432140433812,0.6541004453828225,0.6293224296155848,0.7774877408029788,1.411084911283438,1.0775049838901454,1.2358346095105035,0.7132680756144663,0.6532058695660896,0.6632286014989446,0.7595457687068043,0.6799545605517464,0.6765504627885374,0.7525853355964329,0.9437702051562347,0.8598611167885406,0.7124186668628433,1.077008282215577,1.0255736208925899,0.9300429105253933,1.0965684401424947,0.6756050113351859,0.6675406860704975,0.6961582167499871,0.6508541324696292,0.7835112800690719,0.726075420173813,0.7948304171007688,0.6661521984193189,0.6272127533133257,0.6996810347456556,0.6636708550960784,0.5372031890310255,0.6157564049349629,0.7142810171692905,0.5838986386607588,0.5616876586061854,0.6906860171759913,0.9364945905763566,0.6569193742476905,0.6238585687732205,0.5936225516287879,0.5390282473892773,0.5044079428026941,0.5657395755957294,0.54892541175068,0.5359315282525924,0.545556681101992,0.6082612085937599,0.6793058392124224,0.6283745403302442,0.7149555421690534,0.963738871101957,0.7922370601502492,0.8145726744137302,0.9572927332638933,1.056827842142479,0.9572108707445095,0.8417725684883878,1.2592063439344663,1.2667575316296122,0.8867009190942811,0.8937534473214674,0.7709213877772738,0.7447869462845661,1.0563698918728284,0.7590520526894775,0.8152932500408103,0.8217319728143041,0.6989568292480401,0.5319559755102904,0.4899049067103009,0.4431341324338038,0.47217619959220675,0.514051997350171,0.5083319060447073,0.9640116225503144,0.5457743106151853,0.5122451157889499,0.5363038725436052,0.6900080825287221,0.4980138570497576,0.6129710307144408,0.7822642744242098,1.4415196507571943,1.7596114856393317,3.110068018398067],[0.6233861275770501,0.6356408253727766,0.7996537268796817,0.5031808282693118,0.4895329507170734,0.5060016031515929,0.4000607429170629,0.4133746027536829,0.4788405723284331,0.4352328085685823,0.4327430808276101,0.47669221996462485,0.4506260214286184,0.4365348136620996,0.4845124931700744,0.47967214924963214,0.49712547612125146,0.5058240933648619,0.5693209822072377,0.5327545821884845,0.5893591424126576,0.7081528960680519,0.800921372933485,0.9276415140529687,1.2096276471794822,0.7642075405887445,0.6317254066198245,0.5020288156028985,0.49944007778215355,0.4571124046503162,0.522200160482284,0.47537274542665087,0.5114925918730541,0.5375441298435183,0.49233851024754016,0.501780817903906,0.503482342834064,0.5848437304692438,0.5079021804217657,0.5732759040597707,0.7553919404549424,0.7065959430942441,0.753927008580006,0.9389585482496413,1.1570086146874887,1.5167380425010801,1.47215803101041,0.9288546529160607,1.1041051262776507,1.3955770570339137,0.8613504830840678,1.8332341680094242,0.8120737347955397,1.016430963384244,1.8727987685503191,1.186728170801499,1.2259774436630615,0.9441705898859553,0.8665713098320877,1.8368779864922833,0.8422501630144602,0.7465421813776918,0.754815566013446,0.8244812661528051,0.762563245843486,0.6414627427396399,0.7300840397634202,0.5256993949153007,0.6845628545440781,0.6295036983854092,0.7717366389186954,1.0239468397595695,0.7138142236983084,0.8460567533141328,0.5853198738381269,1.1103566872895165,0.586768965407242,0.5677345448196764,0.5695938794611161,0.6595095159539262,0.5284906469975428,0.6849148502666739,0.936256795112279,0.5668136002610801,0.6080542684414889,0.49491409407336523,0.5489731648326591,0.5974169036795541,0.535234981251451,0.5809072500063913,0.5418404490837778,0.8286862423765168,0.7329595478889414,0.5609241470315661,0.5430206994798239,0.6112151026706426,0.6207282206762339,0.5263938610833098,0.5098477892535309,0.5303563908608316,0.4706271838515064,0.4464120829317191,0.4303120934901233,0.42274382619245265,0.5253704253564415,0.4490213041176852,0.4695951757368145,0.5064243058384502,0.40447526541069495,0.5394616595886125,0.35702681604495135,0.3452197027168763,0.35435893022829584,0.3444608523637102,0.4359372720273631,0.4330268665359094,0.519279158857221,0.5165693355647998,0.6360224116622477,0.518473548860739,0.5314629148820064,0.5835410460105668,0.5963222609887758,0.4428247505205844,0.39305546585025325,0.3183185337038247,0.35785049374256006,0.3327430340356206,0.3771396927327625,0.41641289855159425,0.42417278821097776,0.4001477150008973,0.40908627495295063,0.4542787448043897,0.398218515630316,0.5328096090700312,0.58278676376987,0.4175849888893075,0.3973165086502685,0.39416185201639004,0.5168493302469209,0.7365048183949496,0.5894014900494908,0.496876465818217,0.554899067149746,0.45604569876822887,0.41888400198523607,0.3992646291284127,0.3551657453736298,0.43028910660497444,0.3819727315887107,0.4777717641546948,0.6108823071097557,1.0620012747381162,0.9220166744301835,0.45978466902469034,0.4366770711005926,0.39824802352173827,0.3980463909135223,0.385911030112916,0.4057343286470793,0.44204306506132884,0.4453331878056414,0.48304677157123677,0.48602751687824064,0.576516762868641,0.5187863600485695,0.7130909132841973,0.6706364104813025,0.6354747355627941,0.48633265997166814,0.4133306382380855,0.43682991894197826,0.4483860312531696,0.43640330728673643,0.419149848813292,0.437841156241174,0.45777775670617693,0.511617873001781,0.44491475141216535,0.4749667866136213,0.3793215762129319,0.40088436101498365,0.47019690416217924,0.4991462761078169,0.727102334339488,0.8748825181548786,1.1012467364734464,1.1363783628749353,1.167411114717264,1.2721216368018453,1.078802626640017,0.8818808074819954,0.7074271814873141,0.7261097073755787,0.7040523228333061,0.5588093926609486,0.5637480393372883,0.5649235197127199,0.6045009486655338,0.48876145688622574,0.4768059476747864,0.46752689325390084,0.47981970658186585,0.45915463570634013,0.49798967323065574,0.62285216381831,0.5275892701208861,0.5165523004353575,0.5783236184523259,0.6230283595695052,0.6155448323469893,0.6690687569426681,0.7841731733835265,0.799327517083172,0.8235049011615944,0.7891817880670836,0.7233573616642003,0.6233467032658242,0.622774025614208,0.7068571231545767,1.5664731167481472,0.9903593263919053,1.2246425452354848,0.6563883311836852,0.6359966153048048,0.6809929787313231,0.7464787917107674,0.6372501203285418,0.6193126322275235,0.6919324208556854,0.7989348342252045,0.7561240101232095,0.6242667746553602,1.030945055298156,0.8914934989011196,0.7921231111800896,1.0528455907300258,0.6101805624448225,0.627630493621456,0.6732457161387204,0.6537073461944205,0.7991464851873559,0.7556363437805803,0.8221569594872573,0.6782139166760939,0.6383412391367873,0.7098662115844797,0.6695162459140007,0.5420368101594657,0.6221131325935038,0.7035626823522998,0.5799166869870356,0.5655307574245192,0.6945654339351122,0.921391816179313,0.6463781211210855,0.6173861707467418,0.5932843169921566,0.5333197261906243,0.5069071446303534,0.5550583870792697,0.5216841277420775,0.5269316921820063,0.4966351347237004,0.5436997807991761,0.5920313916629857,0.5476730973530872,0.6119328329183167,0.8002582268847572,0.6707039354534737,0.687760698792394,0.78062330201761,0.9269254739744136,0.850188591543534,0.8020734197333644,1.1891966405090912,1.3075749478319247,0.8540704421936526,0.8515130137092285,0.7353615476760812,0.7196132767752167,1.0161739108760022,0.7515674600385556,0.8200786084689099,0.8734526459343188,0.7308338654838362,0.5569664340223917,0.4851477871919865,0.3927468319410706,0.4567080684505303,0.4662323746652477,0.47242708652772686,0.95170369573213,0.4956922167429882,0.4990851561580017,0.5100183715344323,0.6441965237003449,0.48366088660175377,0.6199251512999288,0.8103299373983208,1.4734420627838982,1.781415599639554,3.15662725924864],[0.6093367616899216,0.6795522051651205,1.0458123693207333,0.5016413081558316,0.6021223843413147,0.7220946395438678,0.8115428009371988,0.892457651619039,0.9810979500564561,1.0223532207973576,1.0407749187055286,1.0381445895815844,1.0288050530862127,1.0664202380843288,1.065856542816587,1.018054430545263,0.9519556041297481,0.8859373714511404,0.8068187884182434,0.8065341223894943,0.8396246697500187,0.7993482795168371,1.095373874386094,1.1728651730070772,1.4294790901284529,0.8833520850987554,0.7647123905610529,0.7444293256393846,0.8147134407971145,0.8555722359418373,0.9819910050997301,0.9219386564134316,0.9529670114684732,0.9147822909301748,0.8786893049812446,0.8685297563313149,0.7697915419485895,0.7664986291156026,0.6113384429858315,0.4809559043526618,0.6446953346551645,0.7047207907004703,0.6672402421824061,0.8733028276525691,1.1930452610791593,1.6293003347020218,1.6089702168860796,0.9135180549891408,1.0425692593404157,1.4664232010135818,0.9445912176728862,1.7748417040910314,0.8532643441316308,1.0658871608267104,1.930976046815118,1.1534879376129323,1.095390351273478,1.08180534172189,0.8180095360915957,1.7789010296406644,0.8090049659051386,0.768721970456872,0.9264584718079778,0.9466773665274149,0.8508780261805049,0.8021461074563491,1.0256546543129652,0.8704079551958218,0.8945838586366527,0.9902527919270318,1.096312515286835,1.3430068388495735,1.003555796885867,0.9881952772715171,1.0366354427907194,1.3600795305549342,0.8509723362372241,0.8654201991876562,0.832690633869008,0.885179798917792,0.6736909125297312,0.5949790571930076,1.0279421431013482,0.6887274910118758,0.6031239498084554,0.5814621174250586,0.6492451304722108,0.7743582961919652,0.8339535610951763,0.8840437591119001,0.9227513482742993,1.1775750267840215,1.1315398851661598,1.0315074141531537,1.0494096494466802,1.1270315297689206,1.1389227608672636,1.0384085068013063,1.0137828242313236,0.9765423554984088,0.9307077467806397,0.8551370310212485,0.829068295352644,0.705433130959266,0.7651197214972233,0.6540730589350603,0.5216611933251573,0.5023023128512317,0.45034896849079714,0.6182354015126328,0.5326235530250543,0.6400226143575717,0.8013262486750167,0.7648126293280847,1.017829828030183,0.9862524359946285,0.9341452600065466,0.6945839493854904,0.7460867843259911,0.8655602478391247,0.8918542597494237,1.0522295151761183,1.12009721975467,1.1308596106172832,0.9993669930249819,0.7415315527505307,0.6746258785876528,0.5472246251885677,0.4568049910010808,0.4705711663417018,0.4179272421177319,0.3853157891102563,0.39698329527476506,0.40423121226933695,0.36813867176528603,0.616096215758266,0.5382223062108511,0.4299837582026167,0.43742329759789894,0.41990759229183455,0.37135380096141496,0.6008499877291962,0.5206907285827551,0.5515946764445635,0.6968399275439692,0.6620193342005232,0.728587545301227,0.8043164124306086,0.7565746330987854,0.8945442197178867,0.7502683888492094,0.9002823296421522,0.9309192424365694,1.148878087386869,1.12866535879719,0.8799503260429485,0.8971557655236745,0.8128117594393734,0.8638469228961492,0.7132882672921369,0.6263991205757211,0.6684931504468323,0.5174518933661812,0.47338821463521213,0.3870224481988793,0.5271524544594444,0.5077244918821513,0.8272196595494669,0.7817336323089047,0.6905320290775283,0.4824698573616882,0.35583568946318345,0.38813655355388443,0.4492991414430374,0.5377803917738697,0.6065678424663293,0.7465135393852268,0.67516964222751,0.5977961457171631,0.5456745463819724,0.474710463591433,0.5343852511324391,0.43863291196143156,0.4452181894210106,0.4159137521054423,0.5681882332333585,0.6978387348815022,1.1781895229263029,1.14418185371567,1.2327297411857026,1.2905298940865857,0.9630803523624036,0.907709549056548,0.7542591640135535,0.8266148684527954,0.8331083388050594,0.6459787138999348,0.6394790512747079,0.6239338059786836,0.5833550677029411,0.5211331681933549,0.46212485280626725,0.463189983409875,0.5052748956583806,0.4859198301134644,0.5387640007301588,0.621730473600018,0.5606558887227829,0.5378407989451414,0.631640198652697,0.6462649784143607,0.6356506155455013,0.7114218880559646,0.8209543670191959,0.809125802455748,0.8550131147528522,0.7516543951644452,0.7621953395377894,0.6480293561276264,0.6369908443266205,0.7627064211139001,1.437358781372455,1.0582303894049911,1.1661191403965727,0.7097532896515244,0.6697612246274074,0.6646268845651729,0.8079919847025729,0.7242573163029529,0.7267546729963386,0.7478219022753823,0.9226577035776402,0.8432376733249138,0.7190242022265024,1.0978564939918762,1.0528609779193523,0.9385648683610804,1.1225491844149578,0.6906318075742561,0.7008210114585114,0.7190749522763945,0.6294516555848415,0.7587598291689266,0.7112994794806597,0.7686732076329991,0.6398786914968922,0.6037866293072793,0.677868845604678,0.6285123939830046,0.5342020070542345,0.5968466189390201,0.693567491224235,0.6070599513193597,0.5823494185787039,0.6882239861601428,0.9717919256883563,0.6920910377233052,0.6389293439239326,0.6013227058156593,0.5270743702953297,0.4974486335893127,0.5717182768254421,0.5309250690850755,0.5329565033745901,0.5437276008294274,0.5921663495168599,0.6270754845043224,0.6122369673445338,0.7065358081336325,0.8410618573091462,0.73376831802493,0.8184877477706353,0.9438277963738003,1.0464160225466994,0.9726717940684267,0.9322482309880085,1.4844723297126292,1.5237661108653746,0.9203260203251201,0.8868863816408399,0.7600021140383275,0.7676382446065803,1.090645812150455,0.8070925924457163,0.883801151790389,0.8780300633916197,0.7577940765397152,0.5388870332030838,0.48052579435044895,0.45991784016336085,0.5447503643132422,0.5378427747637917,0.5504054043144445,0.9320083698864228,0.6469533373431199,0.6004139885630514,0.6531516291256999,0.7873164628055674,0.6367669902897538,0.8367074865612915,1.0235530117271354,1.7181709235042353,2.0642532590186837,3.4328319467471813],[0.6586330026983099,0.731416148786768,1.1198746074061763,0.572840088881889,0.6914638470911045,0.6522916329898647,0.6170563080106863,0.6663395599836671,0.6467019592564176,0.6198363750012416,0.6141073820635228,0.653252399947762,0.6605701666181119,0.6139199744236351,0.6513696137377218,0.6563381145953416,0.6153175629570955,0.6077408008277116,0.6833378373534135,0.6674321325801894,0.7592034546296395,0.7763063326527648,1.0823278367321099,1.190781281818373,1.4105395530934153,0.8572655509599016,0.7313516553128645,0.5717138055489667,0.5918166015897853,0.6064553266521253,0.6744185142582246,0.629261610399267,0.6498067259061494,0.6588127925044925,0.6603446681790046,0.6794160735313273,0.6147255604513596,0.7145460796565335,0.6271241532118472,0.5680847713669912,0.7008150835912977,0.74363245513521,0.7657165694969654,0.965996144417895,1.2992247613109558,1.7388177359811925,1.828573960470692,1.0811991829543608,1.1521311690414084,1.617645379802214,1.1564440927167838,1.8246428932872496,1.0187006436127712,1.1523105575749986,1.855825659128096,1.136875450994201,1.0717240809620523,1.1983864521159666,0.8629034110666987,1.7545727849988308,0.8499222056030968,0.7696362461255655,0.8251788109727729,0.9033521395095302,0.8615639328510226,0.715227389511665,0.8924704516961204,0.6860317047284161,0.7470243930965168,0.7261647957905205,0.8797234141869137,1.2450555355285673,0.7867988088168341,0.900198603712093,0.7647561129351305,1.1879059479186036,0.7211446384750976,0.7020581530055933,0.7138467694979584,0.8609896936034087,0.6327158475394511,0.6397635838001818,1.0091905319644103,0.7878230591454756,0.7092746938610072,0.5950589306782699,0.6278714407902616,0.6906267010953324,0.6954240739678234,0.6856582691163011,0.7065098150924954,0.978537973416055,0.9198262360875805,0.7202483692556662,0.6861782832434924,0.7536381543183817,0.7699185701340443,0.6795520189339861,0.6702654721619759,0.6593596293617372,0.654095234779787,0.669951033947397,0.6958831857958855,0.6631229764030606,0.8487267990568672,0.7382863470933051,0.6542985517161011,0.6378164379963424,0.6172315697396032,0.7140995040541719,0.6027341145864925,0.6473173917442966,0.6518782122892681,0.6246524282180895,0.6913744549668239,0.6802280565799185,0.6195720991502828,0.538483728658114,0.6343212022853059,0.5589629801903705,0.5554052642036745,0.6390039097213902,0.6766524030057263,0.6868997150356263,0.6479110862579199,0.666260609091165,0.6738884546905766,0.6733500373965265,0.6218519011643392,0.6655552406709788,0.5951003010541924,0.5984277779829172,0.6407045129068728,0.6542589792442679,0.63811365338888,0.8294368333904412,0.7224958175356304,0.7043634174901303,0.6644813477125091,0.579082432718665,0.4578144060320205,0.751819599972366,0.5625308260699261,0.5571885993748793,0.7173035712525411,0.5507653719625683,0.5877199775839684,0.6116098611184007,0.6207661862645683,0.6771727542969498,0.6220950247812657,0.668029247842199,0.7478694650722434,0.9947762812784608,0.920990595542268,0.6225295909238545,0.6289816848211968,0.6392175961135649,0.6477743634795862,0.6521770097713916,0.6600792325879623,0.6257826725255459,0.6080351206079744,0.6089983640049189,0.6105007669801077,0.6706210745230502,0.6284055716183398,0.753897691976408,0.7287464997153886,0.6536193928162204,0.6138399007671014,0.6322498341439242,0.6133503866949113,0.6315596314357214,0.6331605602027764,0.650881991085081,0.6529354498286832,0.6390320581546706,0.6742238055727967,0.67003779812303,0.6826775952385097,0.7118292521215656,0.7113689200767003,0.6745916079655261,0.6408443680998306,0.6929574545001614,0.7335098304439011,1.4457072336199894,1.2836845637864387,1.2210843611080802,1.1938259510463252,1.1495543231263794,1.0548871387240073,0.9277247524812288,0.9281967953581738,0.8981536020838163,0.6996042234340698,0.6956981481023085,0.7096340354400368,0.6489022098958942,0.6334593876207121,0.5917382741078206,0.6000639944953501,0.6497486309365796,0.6412830396946486,0.6864403581297642,0.782848969912218,0.7374824794291603,0.6866057264232073,0.7535019973669731,0.7920214649162455,0.7746362185814276,0.7960603894273236,0.9142451187978784,0.9412775352178699,1.0366692156858996,0.8858958432692648,0.9236295433146,0.8091308218483648,0.7805800528272022,0.8717373737651788,1.3494122517425402,1.1573637164352137,1.2972449494428835,0.8469477588661919,0.7447279607776573,0.7291658580864671,0.8612868415425917,0.7872223121048848,0.7831448772496458,0.8561218348064261,1.0519915795564019,0.9017111542109165,0.7700334157626371,1.1232811994093037,1.042049151881924,0.9605871641110828,1.0477614487102054,0.7456133528740064,0.7915594177291603,0.7722277185541085,0.7284691319029025,0.8410280220963774,0.7893874154547512,0.8319491183677681,0.7291582788863762,0.6995783276444187,0.7362268691930127,0.7034149247269841,0.6548955168505988,0.6795626666726691,0.7477579618407585,0.6952961222069719,0.6943189629117595,0.7620026551361762,0.9954582120920332,0.8065619058104507,0.7726301014593642,0.7533425828443253,0.6901381717545407,0.6563411327700962,0.7252850251960886,0.7135617728865248,0.7007894775398913,0.7097170058119094,0.7481118702111852,0.8160910656682089,0.750911651278504,0.8013956928160707,1.0409072218011748,0.8841550362632097,0.8798302362153464,1.0338537200581126,1.1217160720535988,1.0295187876219665,0.9540732173046809,1.4279855232514365,1.4086498521944644,1.0002788989759734,1.031315101954424,0.9216263370593709,0.9251289553026706,1.2424497253319011,0.9379169980350665,0.8994171928657241,0.8725962192444146,0.8000715439005319,0.6907014458924128,0.6143193498755732,0.6691517915614906,0.6924089795973193,0.640472668787951,0.6558673482135857,0.9597478714504324,0.6797241904230923,0.6661690924716395,0.6611821905835428,0.7314016453683662,0.6249483104771364,0.8232648283024775,0.9236405661478828,1.5840390314020676,1.950676532162955,3.3113877446167193],[0.650247595575089,0.6403171147281778,0.7867172487945921,0.5256239201822942,0.6409069388925543,0.5711850126238759,0.48378541360974703,0.4650126302051188,0.4942270517479303,0.47894785166592785,0.4993513636332623,0.5057650585021232,0.48828070763317594,0.4850339671933299,0.5680046929134361,0.5493731087867783,0.5308584585039455,0.5506872264530076,0.6695205149880343,0.5829010120356696,0.6491262601912821,0.6742965046639272,0.9083088174405795,1.0035511901375076,1.2978713638620614,0.8172387596291064,0.6852446106741039,0.5042924724415541,0.5154083380050625,0.5450569616448161,0.5842295449295626,0.533084817946596,0.5658418875710711,0.608918563351879,0.5726319712231511,0.6085389307161873,0.5463578345674391,0.6233961151048971,0.5950771035550808,0.694910820977239,0.8550631522592732,0.7008703774179703,0.7817691487434056,0.9418775606837587,1.1740452552235372,1.505804982981086,1.5956718721375251,0.9466888086195187,1.0100716040038515,1.2946063361582123,0.90735089180373,1.6180738418153833,0.9002846011938267,1.089822789902027,1.7994389483194178,1.1896652440809619,1.126729594801311,0.9873280806704762,0.9252936209491084,1.8929609129232408,0.9201490571630342,0.7539908224567639,0.6841342871613126,0.9086247171310381,0.8379940452475065,0.6368195475856636,0.8422155458096839,0.6100108406899029,0.7353154441479094,0.7321656746758459,0.9071585805453696,1.3055133910150993,0.8277975695667525,0.8959152931194753,0.6761273112812909,1.133017671821462,0.671228799120689,0.6392421917231763,0.6141728053933951,0.7344262327749336,0.6097315201009483,0.8164023206075909,0.8848930061530724,0.7600585177229392,0.7556840424242304,0.5962062371599294,0.5952114332930802,0.7172688271887218,0.6056642061373037,0.5850464563241079,0.6441609397167342,0.9126470274992766,0.8565446409598401,0.6460743324671305,0.6037104896073775,0.6696930674211469,0.7391784231923992,0.593656081849086,0.587243166037413,0.5642870623418554,0.5235324360013434,0.5270300512547142,0.5610812616476807,0.5902150509684448,0.6528753782013665,0.6227103594689213,0.7091405866637208,0.7426417756413818,0.6649480919943751,0.6779334966229473,0.5953850245920893,0.5579660786076437,0.5039515836481085,0.5240535050538602,0.4466845204811333,0.45940090490231444,0.4675649323142724,0.4904188328586729,0.6963996179701204,0.5204053015317702,0.5273780662175638,0.4529148840513949,0.39607112289698554,0.4370610546765823,0.45378325304451905,0.574218580072438,0.5697007622894109,0.5854681690293749,0.6717984644292141,0.6617706192206124,0.6970268042116362,0.6714063959323999,0.6603555921923215,0.6373454343375493,0.6370474585153693,0.6520309202222041,0.7445818244776278,0.6342872891310175,0.6414436157277724,0.6068110812975382,0.5017963322135269,0.7995832891860992,0.6746118069812336,0.5838225387851037,0.6757236550319788,0.5503749788030363,0.5264731471394108,0.5231198827877277,0.5224354412922075,0.5107068663046523,0.5521515785862278,0.5588742266059703,0.6209650193337016,0.9968737912661796,0.9338984970120229,0.5394140993154473,0.5356511194166904,0.5182044563882826,0.5008008950519807,0.575556278479912,0.6035360794201462,0.5323889859423094,0.5704918086044927,0.580808706225783,0.6339157874102533,0.6519642759689763,0.6416924610146516,0.7902861388189958,0.7797575774534574,0.7302615740264061,0.6834320996476838,0.6565532224760036,0.6321015333504517,0.5808286658175129,0.5579214928249634,0.5544614600019507,0.5310899882587501,0.5727427722647439,0.626236936135988,0.5821117445618266,0.5931810108035473,0.5863128851571758,0.6420878000638777,0.6557341261138997,0.6343430565923842,0.7989707621571127,0.9698745747018149,1.3374029698596264,1.1801466125446003,1.1768243294928136,1.232902934071083,1.1544010895638799,0.990585031723436,0.8780626825857732,0.9614773696838871,0.9719014233227132,0.8154289944897548,0.8198975187451636,0.7886941455186189,0.8044728614789842,0.7205748354098968,0.6940743765300452,0.6761672508212394,0.6648112686525742,0.646721375148386,0.6355300550732939,0.7051584743754666,0.6594206169360125,0.6193842663609276,0.6294451700926386,0.6754422077410578,0.6585708485766688,0.659186312355245,0.7712753825195151,0.8047890983601145,0.8640793560242467,0.8218835087375518,0.8467315800949065,0.74221206737558,0.7391426473890166,0.8471394594001185,1.5616431062150344,1.140030312126126,1.1788516317967221,0.8147117190192401,0.8266848204007218,0.8519185067110235,0.9789288572003593,0.8619733610547549,0.8893232461376271,0.9113542275700764,1.0710610597519998,0.9518394951727462,0.8659818617498091,1.2289155896128983,1.1139894379396673,1.0004018282676126,1.1426604377330547,0.8274660308912656,0.9123411939903283,0.9290997024291048,0.8324438365244153,0.9587635142786837,0.9365328395208017,0.9686458857502395,0.8733652193272603,0.8462135511778083,0.9054379994565648,0.8491113016089008,0.693705308117929,0.7222143095305017,0.7719291501498914,0.6709645487364745,0.6677292249938679,0.7233838465314516,0.9293951039018518,0.6995900254595524,0.6751044288520726,0.6623970419618471,0.6355015679493495,0.6707972957081281,0.734432473969664,0.6543373033168345,0.6486357187892744,0.7096475857210693,0.7153879741432269,0.7278405264530721,0.7315768626290858,0.8078752657910374,0.9418706281484193,0.8234457248269229,0.9053597415215331,1.0266000374684634,1.0891776757056415,1.0102178570083615,0.9561691001963232,1.4310481985337529,1.4217940137704277,0.9560449591064165,0.9433278951544413,0.8267913128699518,0.7948740692749109,1.1199842555381099,0.859555711942556,0.8826073842347727,0.8875206009215466,0.8372147537039606,0.6940192453239465,0.6893761474573576,0.6011646149651539,0.5924093423397883,0.6444544929312724,0.623514218828742,1.0232277944172563,0.6094221854763359,0.5766374092048208,0.6134143585097135,0.7383042867375936,0.5536251092523797,0.6097104356411794,0.6970945667066838,1.3381312831910788,1.7770996624803408,3.222225986320706],[1.1497760508913484,1.0774271118974015,0.9587457978744266,1.0186141301261042,1.117256942660989,0.9644780446946082,0.8462772295082938,0.7202261459597367,0.6676859303284242,0.5645686799526728,0.5059773222058247,0.5096842764419596,0.4511385800178582,0.4489404272458619,0.49085426635681684,0.4327395134511091,0.4003676683907729,0.4875064578542925,0.7299185115766917,0.644070502293529,0.827157426829571,0.8452739136443859,1.1168636832021595,1.2097998511833237,1.445693444818453,0.993785283789299,0.7165000691904212,0.42509342796912486,0.3844683993923276,0.38893297106112773,0.5241913384809048,0.40025987547083813,0.458804851178935,0.5009498189917745,0.4467390833369516,0.5035477127894252,0.40532430775347666,0.5661142086713278,0.5016858013731249,0.5800045195536762,0.7263831579721858,0.6965292010049897,0.7321493207093877,0.8875480741571696,1.2956239736073014,1.751923764642348,1.7449249850235469,1.0197597794363795,1.2227536698786647,1.5048835862557526,0.9670552854613357,2.0570487294236317,0.9988054239026959,1.0271976956820257,1.6692429407593161,0.988647413557352,0.9794383331834525,1.0605493831876016,0.7926411943036964,1.5415984709419042,0.8344905205242459,0.7819347623214984,0.861701720522199,1.0343393945213561,0.8936247525130884,0.7828750851769356,1.0110545687857613,0.6916005427766067,0.8452745673087679,0.7834815021152451,0.9660919734867655,1.2869149935266087,0.889053130257878,1.0129382179526842,0.7638782768289852,1.2400556248209973,0.6945060531937395,0.6376609720058442,0.6173165010358115,0.7412371342442222,0.4978128421024172,0.6682143636447961,0.8891811293643561,0.6666701818980278,0.6988333573923734,0.4957046136209922,0.5009687108760132,0.5442258796792716,0.5618156827374613,0.5398745553701991,0.6063699071744667,0.96724267288585,0.8667109643513806,0.6013096946808427,0.5460440589556805,0.6432893924952342,0.6976278956555056,0.5199184998944006,0.5140400486862019,0.5409246003771805,0.4535810388824765,0.5642992687147422,0.5351000636850228,0.6827155203255121,0.7397629114224872,0.8110644020306327,0.9130474406583404,1.008274878255352,1.0104073354264596,0.9559813411731479,0.9649831284369138,0.8312418662826304,0.7687975543136044,0.7807305372244402,0.4854079524590019,0.5182280659394983,0.307976637550602,0.4432975543862188,0.781540251064912,0.5181813867408694,0.5513479195539314,0.4595744976588361,0.4281902572274443,0.6303847537020983,0.7555972506202219,0.9585305598325203,0.9685429361691754,0.9590463801554282,1.077657884299078,0.9384792956672324,1.0639333545946827,0.9912210996616334,0.8929323760297299,0.8180132711467222,0.8700366189769552,0.851963812716307,1.1517852663918209,0.9772382390410865,0.9878761425116138,0.8058236962454522,0.5276236903868659,0.7510558374574173,0.5887763302428191,0.525751139933738,0.58646091986471,0.42540784992335656,0.4696266318636183,0.5148050855412297,0.6268487214714835,0.6377552823609663,0.7526828729043682,0.7025084894443171,0.745808860072245,1.0852588108132368,0.9624836681720048,0.5886426336688859,0.5596835122063811,0.6157117860992899,0.4990280228716546,0.6879008028902127,0.7077344756354811,0.47393408327197967,0.5984768715948386,0.5584653371420819,0.6693574038825642,0.7486510177781576,0.7616809001706982,0.8740423108067117,0.9477306463734659,0.9380530757871697,0.913877124424217,0.8469583482635694,0.7142219685702055,0.623597073952344,0.5517903851072301,0.5593073237256262,0.4868031875584082,0.5488844389380105,0.5724328895012778,0.5763904230385427,0.6120705400359607,0.6921537876229196,0.7398677792697813,0.7490270862623651,0.7215726067150589,0.8271359808578468,0.9143991457272869,1.2943817960419406,1.2122968180526683,1.2025651437917961,1.2704664680830018,1.2057912716325092,1.0210285477094783,0.9385450561276013,1.0749640082542935,1.1652140514202454,1.127163511407362,1.1574308967054283,1.1763780278617344,1.1934440556428685,1.1400164727315103,1.1139396778785198,1.113037754778169,1.1253048194034605,1.096002469522375,1.0659452558164497,1.1348762648281987,1.0970897962705073,1.0660965832766078,1.0396542162372755,1.0806335555449516,1.069281478923576,1.034585610721005,1.098649825261871,1.1211378993400771,1.1247608860353022,1.2032316572446444,1.19715692106228,1.160512353723659,1.177787357848727,1.2803419861275496,2.1497934258495204,1.5148853881210766,1.3272049404672248,1.163751484705561,1.221619692733763,1.2319121469714063,1.3069703185134802,1.2221527138258275,1.2672456570573936,1.2103724625994345,1.3222653584701591,1.2905637508447065,1.223907097567863,1.4967140787287312,1.3928056253155972,1.3155337492251722,1.4493333406307096,1.213152340934598,1.216823900709825,1.239354100607768,1.1892430971393309,1.2409768393363054,1.261420879704212,1.2637649907628876,1.2080998286348008,1.2290106347121064,1.2649329528452529,1.2181666832966853,1.106190861482591,1.123048237608232,1.1460773042786396,1.086993044607041,1.1005751162319417,1.1000238480505447,1.1817729960765013,1.073603840952831,1.0789827872365874,1.0928236731778587,1.075909058121957,1.1091934556424472,1.1562799852351797,1.0940166079560134,1.1036808068533517,1.1404091229252546,1.1382425726253385,1.124472343410131,1.1597768684055765,1.2114647430049394,1.2150689904565042,1.1856459479216754,1.2733750907399122,1.317499502517337,1.366366073927585,1.3131898802535322,1.3238116860096427,1.7076732966187036,1.7509775042932947,1.3025451781986763,1.2453622351093803,1.170644504813093,1.1400176487005815,1.3396294757582017,1.2280120473865659,1.2849218352990024,1.3167220516166693,1.285614828287125,1.1812606858514436,1.1391298953414686,1.063145501252286,1.0447656245643049,1.050566217249956,1.0361435577026832,1.3276270283495617,1.006371736091079,1.004185952033644,1.011522764228325,1.0775652916724907,0.9975496586717457,0.9504935539264571,0.9394466877380794,1.4685931942558763,1.9071744281313365,3.341619749805871],[0.9932049560434031,0.9747283206611453,1.1112071103264367,0.9025556813582415,0.8861460594292676,0.835889852466236,0.7430663269190313,0.6915738010010765,0.7557707112418676,0.6733828950973918,0.6770825284955152,0.6451877438301619,0.5724071091593345,0.6414184300352211,0.6735607570360533,0.60024588246189,0.5904688780224476,0.7147934386613402,0.8960322608392652,0.8619081930483181,0.9023894968666337,0.9623538690782293,1.0502818856597345,1.2091929142403604,1.3849852276411887,1.0981990073144676,0.9049240219726378,0.7476396597243752,0.6853101546346705,0.6306017133529936,0.6910508634238306,0.6146185369983561,0.6673282667301396,0.7512330844243397,0.6926186719733399,0.7568877369054596,0.676313419659921,0.8034125081625657,0.8266130692424222,0.9359800409642581,1.1120340226367,0.9662206067450503,1.042507189306426,1.151809730878668,1.2323073988884647,1.4113798847114685,1.4678879783106602,1.0941392075432974,1.2259417321162986,1.287867271136978,1.108973646266792,1.7767079360811289,0.9826373288422058,1.058560532404383,1.771986400153297,1.3528755481376176,1.3795351727665335,1.0994349655122033,1.1705187573189233,2.087955229978727,1.2352311780362575,1.0550597877966408,0.9785252003852772,1.1238920191840034,1.0560681913666303,0.9377004979178853,1.06271767171226,0.8425443490870337,0.9311336760415513,0.8313717603847193,0.9705320577041426,1.2506270922442548,0.9316395881459718,1.1211388224021603,0.8293519420023304,1.286061537936634,0.8520473496935295,0.8127936262040492,0.8215769807720318,0.9674532867798563,0.8230627130916273,1.0577359526429957,1.0592665357335926,0.8735471692394015,0.9458495983968758,0.7969096496439129,0.8335183919761943,0.8218522082635505,0.8089446623351935,0.8000922752578479,0.7960539224823523,1.0376621011475213,0.9576538593765924,0.7450976233938108,0.6846033443302888,0.7781341263738525,0.8227072376806461,0.6704038290066284,0.6444405155341194,0.6177580729737736,0.5714294405013143,0.5801446545110523,0.5754640354316779,0.6305536129136001,0.6555611006698413,0.6469726489605292,0.7037965676263752,0.7432440092715019,0.7104433243796563,0.7414763580107537,0.6801963246915127,0.599427043648003,0.6020411728988658,0.6034526716973047,0.522118155022575,0.5416219890196727,0.5779369721532517,0.7087798178723643,1.021030650623909,0.7359828280427477,0.6984222945044645,0.5745772513767726,0.5615938728586879,0.6239071223993536,0.6998218546787521,0.6735744334036656,0.7039776051116311,0.6422362521605476,0.7616528226486132,0.7022334475382803,0.7624096216824398,0.7186813479255957,0.68836643232952,0.6700250304956528,0.6776485544073367,0.6598972867669105,0.8806878544961594,0.7147795808174593,0.7153956254008561,0.6941546898455765,0.677853737676534,1.0148696982863823,1.0652448967415251,0.7913279751525175,0.8720281355840752,0.7303000197170009,0.6243045879548105,0.5570615282639443,0.5655678753495514,0.5951942686140027,0.6207299541930299,0.6881492943509976,0.6838773710153847,1.1451424688310337,0.9948673943620316,0.5980889216329204,0.5610021757252828,0.5829375075284237,0.5396966863856768,0.5706965624780592,0.6456546445984835,0.6534051919472171,0.68887449423753,0.7820484411420408,0.7957351040881676,0.7898874162551841,0.7405070465368411,0.8805405307158928,0.8448931413198336,0.816964417284433,0.752694824307725,0.7082701910161773,0.7049253827487597,0.6515327666472079,0.642657782217606,0.609645293412577,0.61580297962812,0.7022935389922956,0.7662984463509575,0.6783843767151423,0.682468869234584,0.6160287403477174,0.6879426432226702,0.7383561411281311,0.7435365070274004,1.0029844488441726,1.2028543330434283,1.37866776096977,1.3622480219033302,1.2967509469107972,1.3769257441454654,1.2714267862526563,1.037372350335945,0.8701211069261404,0.9375792466144706,0.9624492200107105,0.8628442121516622,0.8621569327125752,0.8695807978512765,0.8670429189466524,0.8013560471232242,0.7620124009689496,0.7771246515660505,0.8226212488193484,0.7834962112333442,0.8004476977526737,0.9755271330802195,0.8919987628451438,0.826839534760148,0.9050123948603486,0.959198871249587,0.9279330840020978,0.9417056375080984,1.070905526092571,1.1081973749895837,1.1699416541690204,1.0556956958303705,1.0674973710912716,0.9681467415253471,0.952924657550395,0.9800543501267558,1.7447586582035413,1.20479978070139,1.3740859405004613,0.937761394916536,0.9124443380222486,0.9076643932916898,0.9920191873108432,0.904572458709701,0.9456229982967491,0.9019540349938503,1.0428586896080312,1.0044826630944863,0.9134735685721104,1.2906361351432085,1.1520622135844836,1.0595161969997267,1.2435462742083796,0.9063793839686387,0.9181985792644702,0.9186615677977165,0.851720806263227,0.9288621148840829,0.9361400249487376,0.978703959001698,0.8509132382175557,0.8503921193797119,0.9570858017842598,0.8803337658407339,0.7794598612013675,0.8303797885245668,0.8926209676228382,0.8461723303444854,0.8627989970624462,0.880423470816057,1.0430268435520005,0.9013827700955213,0.8815893921936184,0.8659103255713022,0.8098123423612515,0.7839102596063693,0.8105338511436999,0.8092075668870898,0.8362538424581287,0.8285532263514414,0.8683777159084756,0.9264247663209425,0.8992626699701383,0.9644678541027173,1.087990522133922,0.9974889778152966,1.0255116733523557,1.083726616997648,1.1650684667531526,1.1088695066587257,1.0551263699467757,1.3859304404043185,1.4568955584221277,1.1060246565702745,1.1233305188871914,1.0204983980726476,1.0095019149591677,1.2494761005979242,1.0411514290317727,1.0794843837982493,1.0735987478051041,0.9730573784319693,0.8981136089869558,0.8177586808324704,0.8058977182098732,0.829209210867317,0.7505621198974208,0.7664247645961677,1.1875718649390479,0.793273641384999,0.8278064093404074,0.8266029378327052,0.9208914554405339,0.8501041727555428,0.976737646671574,1.1970720715545697,1.7138805234335222,2.0479233388900977,3.5742419961799183],[1.772007409074254,1.6680757802173796,1.4642510943507752,1.708419112921271,1.3829588345768216,1.1747755550392713,1.0013037292913047,1.1788436454927103,1.2462871998211176,1.5162249905560132,1.7935235501813849,1.8932772503770912,2.101826728068909,2.1043375381854745,2.5275940437171127,2.570782705187552,2.590743886459139,2.876135971530122,2.8902918041008236,2.78409332739265,2.762915242554654,2.673120008838648,2.604995417906836,2.3748117329712213,2.5054061916738233,2.535294371946296,2.4102781287176915,2.477394618673507,2.6388753159215312,2.509968840271498,2.8790503642111496,2.571238565893585,2.7005310532612947,2.8393388654924543,2.7730275043563806,2.806464274999887,2.534652624471345,2.5385765279385923,2.234702609821553,2.073564513245347,1.9175272772640246,2.374195844550601,2.3307363070241305,2.082193233616966,2.2566205719354135,2.3965156975727577,2.4741087098125716,2.095312475679008,2.162250989153497,2.1780907333918584,1.947419023169166,3.2888227615884866,2.337630352129354,2.3726792478903502,2.4469955658369176,2.025642151134838,2.0937719035659828,2.908193196740517,2.489785836630225,1.963913427142533,2.499271136317009,2.790405034116617,3.090702458915203,3.0743611474299546,2.7320606683677,2.9024731932533827,3.0436830558136783,2.9742180384775283,2.962101761989373,3.005146307113479,2.896971008574829,2.760045194332457,2.9159105659831446,3.0402749632254062,3.0064221558667548,3.389405888908676,2.970750132478335,2.9968729972598704,2.9211458774821923,2.859596399690742,2.652041009082291,2.3047125035214604,2.4399191460634375,2.088837366671448,2.0062470553426315,2.265579107379269,2.509196525390489,2.5784427087380095,2.8455784560928974,2.911121440557024,2.970128664929749,3.1902366471356367,3.104174657217885,2.906392011335857,2.77252045779357,2.744434783778521,2.553052098968452,2.5122706101129304,2.2522428422943244,2.015837575116934,2.263789571605443,1.8941901487771051,2.117134213797908,1.620837597650657,1.6275834322293516,1.2764502372429594,1.1119606825582815,0.9358738230165257,0.8707632447013007,1.1290586526351114,0.950643205217615,1.0822816711840522,1.1250013708286788,1.114612198482196,1.6644300557580443,1.3774861012900281,2.1879348886524586,1.745434293380854,2.543250215346645,2.8560403752146564,2.848941864591876,2.533661814251678,1.281803541960643,0.9955839094940785,0.9645879501436349,0.8292450855811969,0.9416615002326931,0.8389051273309037,0.8902837949511652,0.9269040501039865,0.7804935706591211,0.7415945568961038,0.7125134451505382,1.0043696772446196,0.7625126167826493,0.8582297417476037,0.9672388037142672,0.6995140754959709,0.6852905040802298,0.7697687755503859,0.6290380058578605,1.3234801550738207,1.632355604160985,1.504552894302979,1.7962744718521428,2.087214195592837,1.7938504260791497,1.8406093135478219,1.5486733253479663,1.4814618453929376,1.3058950034947132,1.4822883533636066,1.5312099485892767,1.8366407562941929,1.9219406942458088,1.7941962025787073,1.8569771211709845,1.67303032866611,1.981637600605015,1.5210720090268508,1.4290016060971658,1.974444850510944,1.4338497117793485,1.7018728860355843,1.166444293893873,0.7298479403319719,0.69751193583276,0.7149901514748555,0.7685153727814095,0.726125300467964,0.6279847547278559,0.7026793204601582,1.1168328292592498,1.4467390729245646,1.7566936978896242,1.8415206701876001,2.1357813567019135,2.1105686348423487,2.0500193165840432,1.828313491033793,1.577923089304297,1.364921395785836,1.235434753509578,1.1505764915798917,1.1716773881992864,1.512699755736597,1.6569795296836753,1.9948799058274802,1.8111425805128043,1.533316590660369,1.4625109269144234,1.5301142044017597,1.0620735827578387,0.835923310481857,0.8367618856588491,0.8486089185463627,0.8918259707018339,0.9075615913724157,1.093416043161619,1.0014203908236194,1.0389012828075155,0.9756027603524932,1.019628781792502,1.2324375343446283,1.148307864915507,1.17645907451547,1.503801888949633,1.4220451587216034,1.263233283840774,1.4235005817104558,1.600935943767426,1.5240812687399594,1.4537349639963908,1.7453155833154383,1.8013667795536874,1.8008105640741294,1.7936508555242199,1.9373676373737314,1.6955048373322754,1.6365520821670707,1.6570423523555002,2.453978719171277,1.7368879575793215,1.6131332987900169,1.2668061031163371,1.168570217131299,1.0965270078696885,1.1257149116562088,1.1721461338958452,1.2093808134785966,1.0192318280226658,1.1758493069545302,1.3082165449997534,1.1319073273103573,1.334468321023002,1.468989501121678,1.4811625308401777,1.4423206890604285,1.2014003350820648,0.9376338233445719,0.925856447553724,0.9584256938488157,1.024766012633614,1.1227807457037202,1.1982972716306535,1.013583723014328,1.0722185791906516,1.224866219738312,1.1293002461919424,1.0561819283038847,1.118160462497758,1.1867659053409505,1.1790148862943117,1.195235375646142,1.2096676293925928,1.3358459359850738,1.3467314856583465,1.3235563769521517,1.3475458626410446,1.2031662188213001,1.1068237538668497,1.1260235652410597,1.2674575220280253,1.2991626487404653,1.1997660969307518,1.3478050949892686,1.4589144080512122,1.3810624723025073,1.4124502345881689,1.6364291067744152,1.6665519686167274,1.5747100351189873,1.6643425014950264,1.9248911691945683,1.906667804784096,2.01341034937337,2.454033327589716,2.62124107107636,2.208169747338753,2.1744577071868596,1.8324114591442167,1.8063121831511026,2.1649450838615762,2.056081949479173,2.183939038175444,1.9758893665040453,1.6719995078163659,1.4401654637360006,1.1015730878759633,1.0610132239467394,1.2003962791336038,0.9866131868524148,1.0327385351052014,1.435499538890312,1.069514291906445,1.1557987825938625,1.1404156521509432,1.1902600583456373,1.2589074847596806,1.2880980762021064,1.4056066679192984,1.8896767756195088,2.191745203821522,3.802595900056317]]},{"name":"Protease-ligand interaction","means":[[39.567520335269215,36.438814250169,33.774178301897756,29.79002523352968,24.9339370434856,28.073986264120276,24.80763464399293,26.09707248118111,27.229626942139163,23.9742395505595,26.247478048375353,27.90531913509917,22.19294964623825,23.458456258488614,24.827074395051277,22.88941132019732,18.78895156595263,19.25331886186105,18.035863261936203,16.16486419301154,17.43221216725632,17.321428112205624,18.10553674920723,16.24220690551806,13.091409869727546,13.744354081795448,11.212692891283167,12.860675876411864,16.211797942455515,18.918120593650574,24.396469514571272,24.113179227380343,28.254215723138753,28.25919658726505,24.009466500596854,20.420632561366887,19.562639630108837,14.428551553097439,11.000731360839513,12.515150216468417,8.012603915404028,12.608481706891052,14.695057429870399,11.63613844101191,13.898089249925619,12.899058353799859,16.30787025302941,14.42673792406722,9.917670597400512,14.053321614093337,16.3108552613883,16.317745912406927,18.4725138025386,13.936015785302367,19.25302396299006,20.930952923203904,17.367848089861088,20.16706455681709,23.650297907091336,21.13789830655859,20.53608081990031,24.465333933498044,25.15846388835574,26.506975149106022,22.411407335646427,20.425644563972867,21.74504563195132,21.73365947453304,22.349688692183904,24.42754640008826,24.567015602478023,28.123792136850973,27.847965061052232,26.750648310989536,25.888620018637184,29.82423865700663,25.310562106054345,28.932512036106456,25.466594315463194,23.281930210893957,22.30258128328622,18.75479980979953,19.889623402590633,17.241345968586028,13.079723883885197,15.35270548084911,16.679949810307445,21.13098334823094,20.922250508538525,26.96233226710672,26.640268833886825,30.981378621309037,30.42639015859041,30.408330231363067,27.905482280232548,31.315487743501187,29.172339254856073,28.884200017337157,28.407178887701807,31.979111398853448,27.042200785531005,27.32915424925328,23.229088362638258,23.24436286846704,20.61861354264362,20.472892578828212,23.45358178522906,22.25880388101467,23.333540115208628,23.58933903381676,23.048304686565917,18.752916071809633,20.48781301507909,16.518490064665407,17.458481832107427,15.065460394968389,14.419793913583488,12.967286168150686,15.822596691100832,17.453066586983105,18.662533945211695,19.45196768541777,18.058819664765437,18.56275450824795,20.594941043275295,17.079001342064664,21.671714036782387,18.18404104712652,19.296448253590775,17.88728365706475,18.976413591590017,20.807015292248597,16.943666928893013,17.242726810711417,13.753177775814942,12.962638180355125,16.14272731687056,12.911128357889437,12.739291624587576,9.489554917625203,9.42949313934028,6.527880248828081,8.691700335267964,8.311681862786205,7.314159873097217,11.34118131555614,11.838575175308057,15.610295743240249,17.24575197335119,21.16408306069291,23.990325176846202,27.86278659954244,30.89594156558933,35.449118934596996,33.29534262786229,29.877785834463964,26.005658228838556,24.6353986149542,21.432209764264908,19.25743102580785,13.434479078429604,12.603889450366333,7.9195011915365425,7.320267491975343,4.68689516509527,5.229136549569221,8.197390079536753,10.386981619322018,12.860740080822504,10.831138425246813,10.773196905420408,8.725379705364498,8.238926800600156,10.55116887354642,12.923475262397748,17.09619268644821,17.960939422721555,20.827304552275695,16.087213632470032,17.41697157742121,12.186149438406796,15.491028322546622,15.326068915066076,15.057561639969162,11.50066771533145,10.686642799742673,8.959783636130588,11.939064759955349,7.513110343607817,10.363722452707789,11.291815662324709,10.408878235811919,13.114601143298609,14.529279014470807,17.45843569615475,20.924037714403823,20.231094559291364,23.680814000783457,26.155494673222034,25.616434635861484,30.622334962544098,30.682886745933228,28.058533914712527,31.004416818103678,34.51901186302673,33.18561731526549,32.18338971748173,36.10261815066786,38.52673625078914,36.295518496345174,38.18479944506358,41.450765349223985,40.42906914733924,39.84713516096132,43.25577557801774,41.34296558974208,45.29344149704851,42.487654475996706,40.98876872596317,44.41295329535758,45.70207344118013,50.06241395088792,48.76112618009687,47.99882800965938,44.106299916459044,43.81928826795672,39.67604294007159,41.27593570591619,42.66614795979947,37.22901297574497,36.14984314323489,38.8196348313122,37.092082588443965,33.22783245597652,32.68510510093755,35.31295166695133,33.59029943605816,27.78118918095305,29.789037781346728,27.74429098434155,31.337186745944393,34.45099423321324,34.811836510043655,39.44463621136044,35.57647092135815,33.186522757200805,38.69023878371466,38.83114231252694,34.6350235849606,36.53122345182503,40.44122482412111,39.92654855523968,38.57680129156941,42.697737746353916,44.67214976193915,43.042603052963976,43.93988131962038,46.768966695051596,44.54750103610066,44.32614702252084,40.66257806454873,42.785542752224714,44.85667624151346,39.8309253913511,39.14087566045672,42.2299531922384,41.09103574135857,36.491822037186054,40.46434209303894,42.436484680390976,37.853726197969195,35.689740019671106,40.5824446466196,41.538471898426515,38.375596494918966,36.384726187551514,39.92552834038945,38.604391138615384,41.64949843704897,37.953863906413666,36.22075184736406,34.889920155436606,35.05987015738189,32.75638995828671,33.231047150027244,30.185915164713393,30.764210599840133,26.764908415637986,24.89148972110021,22.866775581759505,28.031738110794823,28.257796710735406,32.00653424854925,31.08799677042019,29.02690200939543,33.46171070373282,35.64292641781778,31.561128149727388,33.00716795839943,38.05616435295133,38.90915115547727,37.152845357867406,37.11397454078634,37.195302186673295,10.141665634527596,13.232374678234388,18.259467099292767,17.847148538494608,23.019454921231354,19.123740308926003,22.814812372682713,24.47145288758769,23.497221677379912,27.233528342334385,28.5756051195599,29.479525200429343,32.24493419770631,30.98995377170779,34.92232702302495,36.69527081240662,36.99616106129333,41.36117878803878,44.517080599250434,46.856700608894386,50.32976736848954,54.058948323163946,55.128831132231504,54.69374304393619,51.716847946685284,47.76347523004755,45.648082596274584,41.57664399732627,41.46863358558918,39.947742003277085,42.150395851495205,40.70430653723881,43.195478194185064,47.61102132336764,46.258938174211714,45.66604937907728,44.243101391936435,46.380411555124,46.5262594900134,51.901868673259386,49.96963521555094,50.75374331209655,54.901241785254506,54.97027370807635,57.45501046544232,58.465324559537294,61.759822233498504,60.23808507569684,57.57063997942542,62.37161625751885,63.15562629622805,61.74174998694394,62.54846638033118,57.4522489559123,60.84121606624094,63.818744033195365,59.8649218865108,58.58183261399726,63.37908688318329,63.785617286371355,59.81879178665785,60.23568596427851,57.60273476196354,59.870109743172485,58.273317641643374,54.13986609729584,51.37589363097201,47.79379642742341,45.424257762536236,42.17087965536686,41.846705323961935,43.6674900661978,45.10051073219145,49.2946672522205,47.9541214761722,54.015362868131106,53.33579245435566,55.13078068023323,54.55857614809437,56.40150758006942,53.777971415756646,53.78588063235111,50.92475213961427,51.60636974119541,49.446430802090816,47.83323753535404,50.158841257687264,49.57937876859406,49.9940277892644,51.44959495270196,49.35442449378648,51.71011063996117,47.70098027619288,44.859620603064776,40.428462131289194,39.71850005221637,35.7728912329819,37.86870899008907,34.880645148095866,34.39823873150556,38.59229208751982,36.86790686550509,40.59788241196436,38.20818017298069,42.2361133615983,37.435297186614676,38.83935080309838,38.18392203887811,33.651020476362774,33.71828034325695,29.311809372700747,31.70194454120999,28.499258611367026,31.02802808330095,31.842838438916726,33.30077075107814,36.628708784113165,39.58928596093224,42.33656365403356,39.45068526081586,36.81180948886894,33.4525738847138,32.50110780188142,29.831185089886123,26.69253507513792,29.261859707702772,26.151963782910403,30.51247835640288,32.540645389149624,37.37961305454819,36.57527161438629,40.1958443806066,42.47090391682161,42.866959970084594,40.31674771225014,37.04262405849061,34.984058195543206,34.67539389918066,34.1958575254901,36.89670718083489,39.15102687828461,43.88596420972958,43.06840453147671,40.07707020750134,43.21127889688185,40.687212435051705,37.73488749944325,35.637593073829265,34.15375563674531,30.2810600889929,29.838211844481087,27.648150399427177,30.659685232215228,27.550845425711454,30.098941121985657,32.618969756240006,32.56962529625598,33.49827350185524,35.85623301804729,35.916428114490245,37.78340585030849,41.063944089490036,40.493639333908845,44.671606898150586,45.48074208867698,43.91711721219597,45.12316082374492,46.881167439160265,43.60004990388404,40.733026696045755,40.64413605141733,39.427903809118504,42.474854726126495,42.84651315507878,43.33042259803851,43.15889098589926,41.75435744438951,46.317356868525835,47.10962989100857,47.2961288580118,46.735757323685014,42.177773088937705,46.709996013741716,49.394615355444685,47.45638296581625,50.98744367743249,50.47011172218831,54.87864283381701,53.36873054797496,54.265574480070526,53.87102871610291,51.201200133116636,49.5912392158953,46.77426748644381,45.91899999354038,44.817603377419594,40.026920416708435,39.802793739293726,36.04726665087613,34.45354072019083,34.88703822705449,32.94948087003693,30.293450784285007,29.973364738799127,30.526601719955533,26.55451793305786,24.43491656624062,26.356583063909866,26.256430997241345,20.8622188543498,21.018586719513674,22.041872173315955,18.889418532604697,16.14638249564913,18.74848381456721,20.874658665269667,23.7780596551476,26.83044591456243,27.49744021700641,29.105822099580195,34.529518290604756,36.29116824467041,39.377034690510236,39.79703918364515,40.20837839863425,43.12239409418378,41.77851967826894,46.295926047235916,44.71809978139898,39.74326546305076,43.36871975863826,46.56795392724309,42.600423175787604,41.52638118709221,45.6208592115783,45.05584453220792,40.745720833217675,41.87328817698868,37.35132179111687,39.94706883538098,41.74049768527782,39.15947137541463,40.91208352877634,41.67259677689436,39.98266018502631,36.98741916843016,36.35419906630137,36.41521944152129,33.04132596269517,31.012580242427426,31.0785574975506,28.717156120799153,26.132184484672923,29.266426565734488,28.099473989921332,23.33855245213463,24.956313501751048,28.43404142394702,28.851362590653913,32.699828424972964,33.61110958811014,37.25103037332235,34.30317103257817,30.4287964709086,35.2995396730597,35.84899231891089,32.52283503663712,33.468129564592,38.700746912677744,36.412088361619034,32.615129079969876,36.57295399040034,39.88688530004948,36.60036472601398,34.68999768676447,30.36477446286521,33.24679587340168,29.746521047591937,27.228314245390507,23.78019213534472,23.726595268871076,19.596423219581858,20.52386686729471,23.674500990757224,27.20713075529539,28.54614489749564,29.31601220474612,27.29135956547336,31.106607294583817,29.049654676964817,24.85480708429376,27.128530741318293,26.506276481806886,26.505622427737933,23.47965541994782,21.317031256826912,20.621478968180377,20.47193613986231,16.478074968133146,16.44401913990439,16.361504108509504,15.658174931934923,18.66080472998479,21.21592590810991]],"stdvs":[[0.6101596348606796,0.5406202708228309,0.7949406863180993,0.4441738742299719,0.5034622414795967,0.5121940678807967,0.47069110233541983,0.5130772176971413,0.5266605285039337,0.5470621216593153,0.5990418726003491,0.6172548237526049,0.6281427456448396,0.5589474535295799,0.620897734575681,0.6216553140193646,0.6337162897431038,0.6191153930282429,0.6943361748318183,0.6032512266352205,0.6532826266365995,0.7430829136248783,1.2464563818170085,1.4814785564528241,1.0645235767822647,0.592405684624151,0.6083507821825982,0.6152409371545164,0.6530311398377826,0.629666670849893,0.6552291271660262,0.644876794291809,0.6383755564779581,0.6787864361488236,0.6564033795252654,0.6533907008238033,0.6487704497070154,0.7359701350257165,0.6479836418642085,0.5081783753615557,0.7568730096524369,0.7348986755540731,0.7480386424166872,0.977687753052231,1.0107196132895584,1.4756792883635426,1.3091460414415177,0.7773869554717441,1.080518724711503,1.6315379624577733,0.9478009028177329,1.7617297739931157,0.886232775157277,1.385044092354384,2.2346917047961004,1.5174086112631164,1.435392924222738,1.1227548277436672,1.169882160546182,2.3144798321009317,1.1154967051897746,1.1015442720554613,1.2158970692107314,0.9087709001629809,0.9204777107739388,0.6804483553613287,0.708133949964308,0.5953074980706843,0.7903205987946859,0.6511131221387374,0.8374625536952343,1.122900628163162,0.6973885231787831,0.8357440773947752,0.6197981300715174,0.9537215183334323,0.7108656504313804,0.6844653982632508,0.6919220275089931,0.7610529075359231,0.6184424868229613,0.587052216198294,0.7185275039677738,0.8059413834572567,0.6203751230672903,0.6010777709647885,0.6314859259610313,0.7047873836638101,0.6367403763943703,0.6427986645204102,0.6886771893602203,0.7957088409739654,0.734418247709909,0.6534115352722154,0.6307777527254358,0.6541822509517305,0.7097828339621362,0.6440470787165555,0.6565439703191916,0.6679197985329625,0.6813261502369707,0.6556409628148063,0.7526043078702594,0.6472509834522872,0.8639640594335143,0.6708817196215909,0.7593783990166888,0.6012846228957883,0.5149165142314709,0.5814094548046417,0.4571346173870559,0.5045178756480437,0.49928059112208906,0.4869065535913728,0.5273288894096506,0.5165512103935288,0.5692436743137058,0.5423993375170526,0.7276012709778652,0.7019141215964808,0.6358746371191174,0.5927062173702129,0.4876226970581953,0.4638547968565611,0.4447259448169016,0.4522956403384742,0.47019613461430587,0.45362499504370657,0.46958717022745,0.5340270512656563,0.45158063691057293,0.5344917462835591,0.592098144366,0.6036709184048917,0.4912407390952571,0.4802121571581825,0.4591428699155394,0.36820529959513726,0.3060303759590337,0.3182188027043307,0.4247857977563357,0.731324661033076,0.5183780806953865,0.5981914934167563,0.573421725493151,0.650650913446605,0.559572126923044,0.5628577866198344,0.5868011574398683,0.5863563570019142,0.5636769317953851,0.6008517072173888,0.7573315102798683,0.8065331680334714,0.7606268097942606,0.6320786415715243,0.6613425799021349,0.6063240388450679,0.6290163291890805,0.6478885069922615,0.558437036382174,0.5988842506828628,0.5042668314482294,0.6149703597758208,0.5405786336975359,0.48556947868133915,0.536958626752216,0.5743265938320261,0.5060403336004744,0.5233395165124763,0.4343735329126798,0.3676581783821853,0.5380486567036707,0.6048943907750424,0.6024649714130377,0.6182261146055991,0.5904333217501643,0.6545561651214715,0.6883122814572012,0.6553882129942914,0.6220869757896296,0.6533373938675807,0.6931038571548228,0.661748272630052,0.652471515364669,0.49152607488802913,0.44163784267787526,1.205334335700501,0.9357132659870139,0.8145482003063962,1.282686051456783,1.5543606894588597,1.112159995444783,0.7874593833627631,0.7282293411672978,0.6527132827415146,0.5357816444960222,0.5605930572288232,0.5273786793991958,0.5174452465540548,0.5313070545527667,0.5088221854249394,0.45027663408177715,0.4460880355191401,0.46133980439120126,0.470675769003077,0.5227792861452977,0.487624454394177,0.46636547997096617,0.5139328272442409,0.5296506999621293,0.4924911213235358,0.5287993333893477,0.6695665436929953,0.6209726654310165,0.7429111236338446,0.5663602867825461,0.6206782982497199,0.5147488237677628,0.5246794884134562,0.5960146178068754,1.5288307991918686,1.0166790813449442,1.0214573353140481,0.7553676602549266,0.7286479851514535,0.7253563073903249,0.9066397325285893,0.696457139326173,0.7362886189768566,0.7156358610559228,0.9281713597396375,0.6894644095713887,0.6527083237901911,1.2293683919254605,0.8520784989245347,0.6699480320693249,0.8299233271091596,0.5660198523356711,0.7112301248118298,0.7406446515386189,0.7287400425258724,0.8797643207523282,0.9467725402057962,0.9445156348418358,0.7957481775261666,0.7794087881044577,0.8596335395281256,0.791784333212158,0.6184498592907599,0.6847838716127046,0.6958892641576532,0.5638113314324047,0.6098587942585266,0.6213143076550163,0.870246082575762,0.5969297053097918,0.5559667616339762,0.5080501031133955,0.5389015884620648,0.5819272955498034,0.6763034301659847,0.5322948340593238,0.5275010784453327,0.5569234785419956,0.5586618711247985,0.5543033015303231,0.5503421327875206,0.6583655769902295,0.730197759013862,0.676017763964308,0.6585088857285402,0.8423507332261055,0.8565278688800881,0.8018670687315234,0.7835818817109339,1.3471974595837246,1.4325968652507544,0.8236973619121629,0.7830608260603643,0.6550885906329769,0.696084211042566,1.0468858975778155,0.8014650361178651,0.7463444441608125,0.7368401214130625,0.6204339581448677,0.494991938016672,0.4207863882155106,0.4292319462776754,0.5509813089437116,0.5099283926830158,0.5140317830355181,0.7631165516247378,0.48343970031596756,0.48298993735456963,0.5287302484106935,0.6060723014679558,0.5394856914752887,0.601662363929226,0.639581311623901,1.5089370266198323,2.3732265471494163,3.7445954712283864,0.4917437372762666,0.3742865637230972,0.4139945570550544,0.35571653461883496,0.5489047723289334,0.40194509869450784,0.4175215634251669,0.4393753932728436,0.49183464467630444,0.49810440486683755,0.5627754359992668,0.5682916907533021,0.5085975120930599,0.5438509879209077,0.5715405942178884,0.5081775333066556,0.4993095675189887,0.5536811161392735,0.6102892831506934,0.5908123517912962,0.6420853805748151,0.6756418694306685,0.8771057020596598,0.8696144200452323,0.9348556565523021,0.7316787327862271,0.5677092364543109,0.5455761545822212,0.5282830828449809,0.5234369806170693,0.5695629987473811,0.5279241661409119,0.5805073483225246,0.5371844143240472,0.5192885918489265,0.5355824572703576,0.49875695126938835,0.49687458302571424,0.4655205125168891,0.47643769152016496,0.6771030653696344,0.5732590530991484,0.5467483379971311,0.6109732509940584,1.0164309189554592,1.5872631112680042,1.251712357049309,1.2642993612191422,2.3268880119438413,2.8790745430221767,1.5640539115349879,1.7452557876065327,0.9327446740273209,0.8804400531945105,1.6100138659612337,0.7362224475713004,0.8063727734677908,0.6752628866746684,0.8139901817219295,1.1028725734126954,0.8926171922475499,0.7171610855553043,0.6688502271856654,0.8168310508438443,0.6683109418357285,0.6346922821601549,0.7933036229059276,0.6375057833586141,0.825963399783461,0.7527233264620238,0.9820165221197542,1.2883732978755198,0.8809684367780259,0.9235949601788145,0.7364455751583703,1.0751518740620951,0.5927085871509223,0.591247592002829,0.5674492655277054,0.547386613249113,0.5614158526055735,0.5657242661275441,1.2098832035148026,0.5256486926655534,0.5233318413865159,0.501745318132581,0.5036857123477132,0.6142522608672973,0.5365170567977812,0.6011277831036821,0.5800020872214062,0.73153215145908,0.644114170259814,0.6226058271724454,0.5845103709772012,0.6963617815873344,0.6826547865646136,0.5895706303179349,0.5776291691286977,0.7145370467915282,0.5825100321924684,0.6407628691387102,0.5143763529157723,0.5455650229760817,0.5514213790366691,0.5304008459613987,0.762274835262587,0.5219629202255622,0.5596689921740675,0.6297185403726384,0.4357761777736953,0.3996144887142969,0.42256670886642733,0.4706024347943991,0.4741053768256049,0.4997143813667779,0.6110547075354016,1.1133466417374709,0.6622230921554656,0.6259550096823431,0.5967587561742621,0.5784112950386969,0.5445418262685967,0.4765166629908952,0.46542899742557026,0.43075601921814155,0.43424016298193435,0.4222277466906375,0.39391107047809,0.43840341252940396,0.5041956953155159,0.5149127643828565,0.48407829587853285,0.46048497137602873,0.47536829104523176,0.5325921161704892,0.8510319307190636,0.5168375416450437,0.6525979078388999,0.6168531727992723,1.0252318164481429,0.9225336380879399,0.553434290925617,0.5983752653854874,0.5650979273421076,0.48331153665898297,0.4649089746716969,0.46376585426552064,0.44634137721175615,0.48875623451498684,0.48809462635634515,0.5387296752565369,0.7543729125417816,1.0563956607979335,0.8091905575506334,0.5870437856898318,0.5207202382676058,0.5230399981110342,0.4788301665624639,0.5336899108185595,0.4904253614867397,0.4727509486655558,0.43599205059474283,0.44080319708648535,0.4669976026293048,0.6344498748089709,0.6895614505253085,1.0924918285579324,1.1408941311591039,1.1024025783437543,0.6384926571597709,0.4835625847731388,0.4685524035304645,0.47331070939250847,0.48214383914161196,0.48511460828029207,0.4979754503173378,0.7161525432955156,0.49424300819813216,0.538352178673704,0.5087606039745286,0.43920389326155107,0.4375039977855581,0.5330841768216424,0.5372399199669836,0.6604692269648675,0.6876289726533602,1.0504909907939477,2.294383363763185,1.5688284240209596,1.2853851575753088,0.998812485151578,0.8661641591824126,0.9051444162989256,0.6467599782947154,0.7396988800913016,0.6835435748376502,0.6231764854153684,0.6782910008397347,0.5634516409163975,0.6112173094159611,0.5672966523939297,0.49580976078643757,0.6468256985437254,0.6942769794347309,0.6267667513920291,0.8478237081781274,0.752095992148321,0.936330245392706,0.7216708929885907,0.8144592246615885,1.0313756387070656,1.1042186372247556,0.8629712316833806,1.0361382466756706,1.1531567577195163,1.1806125073803246,1.1953754286908769,0.9845087711806683,1.0758843899573431,1.1272440690742127,1.8405618679813025,1.2943481324585293,1.53197144958132,1.0393518429685538,1.0613091644366508,1.072532497234057,1.009732532350027,1.0875507052264355,0.8382769285578203,0.9333123384975088,0.9070599815971783,1.091953707704331,0.8291726647621729,0.9103252305010243,1.2616742413411983,1.1510124296156123,1.1593069295894438,0.8459332950969513,0.639363143262329,0.6225052112594266,0.7574409156978876,0.796302970274074,1.160772299642173,0.9081042267463963,0.7964140474041099,0.9702812988310737,1.08087374694517,0.8253669703904399,0.9017589461501139,1.2301153943594867,1.310502180774097,1.1030950859981847,1.2981027459452736,1.538302803790865,1.519998052814646,1.3548794564851618,1.4853086240623046,1.2568288815838222,1.2020555284749481,1.0287751096844122,1.042320098758513,1.125512743224304,0.9074190224644577,0.8622511242332007,0.9451777298046558,0.9398220750321571,0.835786272522817,0.9350966211603886,1.151353459386584,1.1419446147029941,1.1530856408455534,1.2298543729907212,1.9017405190825567,1.3963918052532573,1.5941136969138452,1.4177447125729528,1.547114133102909,1.6171053546812633,1.4170278559124134,1.1531116806108461,1.1143722619391576,1.6336999454938363,1.5604725812887823,1.591880480597536,1.6538848201161223,1.1504293716354335,0.9153131307563902,0.604202048692058,0.6261242390734814,0.5362040505280659,0.4804859838191785,0.5588075200460628,0.6480793342347458,0.40460605180684456,0.5825514856415628,0.47448159012560365,0.565556090328485,0.37311456206024884,0.4941338935123879,0.7048184910792684,0.6926207918069076,1.0099773903634244,1.208805295298103]]}]}