{"data":[{"name":"Protein-protein interaction","means":[[32.947687726590964,29.78371873768064,25.648691989587373,22.671067338746713,18.556156390080957,22.88958729818867,20.560363719833024,23.384336514554164,24.499699175090996,21.98661932389103,25.138974035275922,27.51296926068735,22.425081091907348,22.676862452441004,25.94920318910386,24.950761659072317,20.60855519837269,22.743076463004957,21.957607041437917,22.16329947926727,24.0593184301041,25.42068777955976,25.851649636435592,23.659697454000312,20.752096681715734,19.29496459360119,17.142422255026144,16.737463313417003,20.30345668609939,22.542783037270805,28.166224668458007,27.835117992318438,32.35273151095383,33.567542780167884,29.499372292708017,26.02001687299393,24.939218806610413,21.180588775589403,18.378257757553406,21.19214406829923,17.88448084065088,21.09167862763312,24.281231500518622,22.07383501376857,23.613261060926316,22.01730026557684,25.69380031691126,25.126155270783677,20.506314989937056,23.535616431865552,26.115574822648508,26.18445383156694,28.618155395876563,23.939633109526884,29.470513454123424,31.96293996905061,28.495629623502197,29.598946773769292,34.04888941611158,33.00184281432015,30.188767873945075,33.900648122961975,33.89383341199541,34.907358679818024,30.923730092679666,28.519839997551635,27.89181485402762,27.180626211194543,26.173565103189915,27.204127545084884,26.71022422097606,30.23486612231049,31.042355557853266,31.233701849972782,30.879231825329395,35.866053361041885,32.1913206441765,35.973740029510694,33.08180830043679,31.701364271347078,30.230089599493386,27.160299399499074,27.125018064084564,25.274333237053145,21.429340441620237,22.741455026048726,24.49563582649047,28.14043212719465,27.90456868214626,33.47923102707953,32.411870851202956,36.50137474889565,35.01747531942028,34.56965403253857,30.992681498583533,33.80061721376202,30.63633566280726,31.23480784188441,29.86941361520743,33.05912011410903,29.710320004526114,29.075758713321974,26.630266632210056,25.1966977848769,23.932311544921845,20.85700006815822,23.72949987550361,21.58724328848687,20.898075893784014,22.120314464674184,20.268844141869852,16.988066419377482,18.040503853756487,14.12873591395739,16.09176494080407,13.024932836443906,14.796576452588678,12.562619027033147,17.967595715769345,19.473604502908263,18.709264845942997,18.353005674808568,14.844764603055506,14.730263449009756,16.405640001447285,12.409872110736623,17.120747012054018,14.27916580654859,15.651959071218533,17.009277319894956,15.756887968591966,19.341314323917263,16.468703853182518,18.664071275115646,12.992894609788902,11.43006244165645,9.980065784163374,7.066215013888776,6.348114896835716,6.564653522992555,6.473572121891154,9.148616194694403,11.63714008038412,10.234587908093882,12.54639198144405,15.522505094261026,13.596796589408457,16.69002390339239,17.67925310948407,20.229422780823963,22.96483298902356,26.58434747568113,30.201935962961215,34.182631041474096,33.0099633901084,30.279811675540557,26.570651886895796,25.243211551291182,23.159173512758066,20.17603288690213,14.926276118114021,16.843799662308673,11.02890858203865,14.875289759023069,11.338786830953202,6.403735809933693,9.492270125939859,9.541465329384133,9.220648810696868,5.506790255814027,7.917266003224408,7.120202078626217,11.778762932038779,15.12053522023636,18.275636644761637,21.66260888838861,22.452070730225596,26.472345729535952,22.881643926496583,23.390105784498584,18.48354689265207,18.242615739061115,19.051320969150883,19.21466907833914,15.847962458524169,17.791456116136043,16.977819345057334,19.97037998440764,17.43943755897443,17.80784426872167,17.491132218877958,17.09769788435991,16.356944317437247,15.607014834146936,17.357680779483864,19.044151618486485,16.43751543240242,20.211639861400887,21.3922858083321,21.756744197332026,26.461473003006958,27.18059135898487,23.896486191244236,25.614585569086312,29.7454289054899,28.41763293631102,25.861942621571973,30.1211757556543,33.55392271239182,30.574455978631374,31.78868484337682,35.46993062037567,34.87129767336541,33.160010542229124,36.31182341754698,33.842986621409146,38.86417232308166,35.119055718591504,34.26599492400291,38.05395018418144,39.76962138461502,44.84867609486004,43.533472640945654,42.79940409504178,39.60392277673137,40.318901508834394,36.760793886949195,38.55963302124721,38.882424969034595,33.11350057831146,33.104569374744095,35.341948186909875,32.56159323057385,29.14412048789358,29.473949439344473,30.57711916425238,28.11974481108272,23.523198502413862,24.908261873594025,24.965451066192593,28.98492986587493,31.65071758100698,33.08900295002988,37.57113316072461,34.32365091962819,30.86114924682574,35.54933884055675,36.38491454063614,32.058842903294064,33.08089484418218,37.21875632360149,36.70684982344243,34.45768465513697,38.64059635830441,40.76851383910048,38.58258023870003,38.96495698854438,41.975019558221156,39.462412015903986,39.9060353683846,36.71275674740316,38.876016652823644,39.92585573892031,34.52307035684914,34.50421415119412,36.882076288068426,35.215154461555045,30.791362987487382,35.02440392333633,36.015803820356425,31.110364720709207,29.575687420438665,34.47910684882651,34.69193019874754,31.2485902635928,28.964366476175318,32.24997012850319,30.92783964923099,33.87373362781746,29.937809024998153,28.888887619042084,27.925578728701527,27.123883466882003,24.850070946026918,24.946255987326314,22.266578839212837,23.901489854987386,20.201616700395284,19.64351533442668,17.281291955371888,23.00945504761767,24.739283281408664,28.510964910293488,28.267477426877615,25.380403623249656,29.640508187691708,31.78245664120334,27.32904259109094,28.043476957828524,32.38796395105241,35.73249285364846,37.2802335174193,38.25990109156035,40.10099774974109],[29.652725745578454,26.45676427980342,22.39128495112366,19.343786494155726,15.457318020942536,20.133788200960055,18.244930452507326,21.482073314349744,22.704860175422347,20.6987793270472,24.11727900014494,26.53641387591262,21.89939130990387,22.024149975685106,25.808618825079595,25.0577898642689,20.95058981571305,23.703703268767164,23.483463852212985,24.02940705732349,26.281661724813496,28.01689889673458,28.54770547063658,26.53282296044352,23.520265036388952,21.61151603129034,19.29488286325673,18.15844122860257,21.396327687002856,23.1776417664794,28.861036315049088,28.264340554153836,32.82478067881626,34.52170508759086,30.55210176108165,27.302531977893107,25.987700927931463,22.938935123573362,20.424083132539486,23.642968388344165,20.700739776629874,23.63291192701289,27.022642941453118,25.12749569968321,26.834025323223663,25.40097256058171,29.10015729486323,28.39193797970877,23.84913688129197,26.887914564596556,29.281504233863757,29.184564428429205,31.517857317778542,26.720740754428462,32.00604433310479,34.81201465622964,31.41453868985551,32.1315792870674,36.69665201430883,35.97140855138452,32.955076103675644,36.427365959021124,36.10516245650813,37.30251737525028,33.492304977144016,30.811293328723547,29.877806289808476,28.743294389500903,27.49857438647629,28.005814728830394,27.494072435858257,31.011860805811676,31.96212256735531,32.66507838972524,32.175801772293134,37.47771002037542,34.01854114933174,37.67443576123642,34.93525167526018,33.852313024857686,32.10356471185481,29.234393663180953,28.621994394795546,27.05222284915731,23.4012771794439,24.403208617692673,26.4672391983223,29.65429531078206,29.626680752715732,34.90432502743728,33.720713649105264,37.77487622859413,35.952207185351426,35.18837359062529,31.30504581867469,33.88471743489514,30.425378298294795,31.159171582033913,29.444842318982612,32.32486576118206,29.615471662735956,28.57845653093952,26.804350893137357,24.857405251405197,24.062644562979948,20.31386885393368,23.086811906391926,20.767679774362925,19.374984236016186,20.810312134663818,18.40244250518771,15.688743338550713,16.464262111190102,12.938422911104045,15.433518611118421,12.641969482505743,15.293645359646229,13.481229728821374,19.369317934510303,20.31622984278466,19.0797201258558,18.11551870552268,14.206856379717792,13.483146030868,14.55335218317455,10.420396109290163,14.694881031445496,12.369125705605791,13.922553843354509,16.266875194928943,14.421719274926792,18.510531363764652,16.349733927989526,18.786244983803254,12.933252380149064,11.088196786947154,8.164613395752198,5.485830732544415,4.846747344624408,7.109971557647722,8.123612918492208,11.939579901893312,13.824718498096953,11.89846825483568,14.596947690640016,16.75761889730457,14.285702315884656,16.72767866406602,17.24518879617314,19.15449379559594,21.642869468120136,25.11676050506709,28.85838504329152,32.52453924964967,31.753039343768524,29.334562800236455,25.80206963570366,24.4574127002961,22.923412122751795,19.80615754306095,15.1767510767172,17.88269127055789,12.565303098939447,16.84080477531507,13.764372687173084,9.324030046326428,11.634844032890056,11.888866570955795,10.344189921465984,6.563193568085317,8.740317649883698,8.122315492768157,13.231258340925192,16.380441351711355,19.413819791982487,22.35079481658016,23.10585953574264,27.292664794366743,24.202659033055372,24.475777900692393,20.027975008381652,18.75673261470375,20.049923938109163,20.588299090543025,17.402810571432624,20.11315176032962,19.59301443940903,22.83720367645646,20.569674260225487,20.58978647381475,20.056356849391353,19.233526882139316,17.926602585309205,16.505703953720346,17.674630581859724,18.737405379713454,15.394186402642262,18.947012194319093,19.43048114615773,19.83160781345788,24.381646780447763,25.0954625532214,21.58417784556796,22.991726021568727,27.222505180827937,25.737223870828075,22.783201599570848,27.164518403957594,30.76358901949644,27.493733865665256,28.570253956280194,32.32473229416462,31.758849985522065,29.84683243276007,32.95432829764588,30.479842744929194,35.63344792931601,31.88080984779942,31.173836508355098,35.03100356347751,36.980682648569214,42.02534932704968,40.93124817824473,40.39608110141673,37.38719474267924,38.3833768272852,34.983544623086445,37.02063194563892,37.05129583985162,31.122700908525623,31.538485430080346,33.84472414510541,30.72537180934184,27.436911390995288,28.243053070370532,29.024795067049812,26.188427831511195,22.13153522246622,22.90298626739389,23.582398748025096,27.622705332253464,29.922969840106838,31.64896958650368,36.009124108241245,32.9405383978441,29.219778626134598,33.5929563977579,34.58067171439583,30.12135383998484,30.793760284910274,34.915830405025204,34.34468703478964,31.844348120490817,36.05441208523722,38.15744849431888,35.78770246729335,36.0717013995036,39.16636669005188,36.652908341007,37.336277252144036,34.341357656634955,36.60065342285094,37.32090596454368,31.811004751477412,32.13391702842254,34.34816103591578,32.46223256891669,28.217642149256502,32.69815844864567,33.362946784827024,28.303393645573422,27.158144751197238,32.1326728892479,32.05285122073254,28.454859331607835,25.884606046924016,29.275822987629084,27.71604391148656,30.599910259232836,26.52198289442711,25.571789404216965,24.528381981268137,23.612466913701237,21.421232486369487,21.64599205807357,19.0982716365111,20.944481016959674,17.208060089915154,17.191276939288098,14.674049750189058,20.239910834214854,22.432288443981406,26.154621385604194,26.091738715912673,22.817651050913348,26.871599805821532,29.198025354749273,24.815432750360912,25.07154440776026,29.422308179654674,32.862213750351664,34.485159711554545,35.5353468952809,37.404173526218976],[25.370060813914975,22.247832687603818,18.639173925802428,15.043965308388797,12.288378708618263,17.183456176364373,16.144287565540832,20.10678375287418,21.069389895442566,19.771751567384836,23.39788716815004,26.05188477963353,22.21599761458234,21.77783754626491,26.25640784049998,26.05556965143584,22.281358639582805,25.639976416403453,25.894195826352682,27.094824724589177,29.580951514904314,31.875771699706554,32.335577173664625,30.46849923892386,27.515552696257483,25.018440730488948,22.81987589777423,20.907296071048716,23.791115193244018,25.14376211454073,30.490946855384635,29.87703230010755,34.35924428461675,36.60917155142862,32.91600103209021,29.90003090916868,28.588930797363805,26.315093030894435,24.246613552377216,28.064363211828415,25.25690393410457,27.66509183649234,31.346751566921245,29.756850827792647,31.45982083294112,30.169468731025624,33.944569060456374,33.255596271539304,28.86204410574,32.04657655752591,34.31645534540846,34.18076190662284,36.369040893129345,31.42167173011674,36.46489945921738,39.47715846986329,36.0170068027511,36.33525246016255,41.0118422834563,40.52828102276169,37.164331280426396,40.276548912284966,39.585395719936415,40.80608415554205,37.26006252381243,34.37440102722735,32.813214957382435,31.26379217352617,29.484962312415004,29.364025510074754,28.66175260323853,31.98591619411251,33.31676378372512,34.695425692500535,34.27320750375109,39.98157175088195,36.980007121028216,40.549741703912,38.14783640093751,37.52594841568397,35.65948053956387,33.183808637247665,32.05049260833692,30.966294013131805,27.50362391961018,27.97860980429142,30.12263033926048,32.80660124334091,32.738204622149574,37.614745576090044,36.10147485092404,39.9430304998999,37.700709693766164,36.62912013579159,32.377400506172364,34.50030396980253,30.657686883552184,31.884059674477157,29.82618532422861,32.40579268584119,30.724812418334906,29.43191888471995,28.614984109418582,26.274993023925926,26.33441693501746,21.880803246705838,24.55725643322088,22.197866775235006,19.766478653180148,21.30536975682206,17.96675565097705,16.210737592273308,16.071584544210943,13.334748827492335,15.883216219187526,13.50830768976697,16.947531681042705,15.484264187350623,21.536323607225885,21.96880526801303,20.002934977373158,18.392117745263235,14.033340635810296,12.773353061799167,13.053908052019874,9.74790522617072,13.129149028206157,12.350165180266389,14.300378202111968,18.000105084637426,15.594854428415019,20.13098942920287,19.020621820868975,21.553378795078533,15.896044350589333,13.76298468701632,9.566244113325329,7.757794008574967,6.65412196347844,10.408421864021939,11.436616096400222,15.998949496038751,17.383651382117467,15.317140461730926,18.439068376727686,19.6972530173613,16.759976478768095,18.411012996368445,18.536591969382638,19.26082556134804,21.5192153768917,24.38586913144992,28.424695858394372,31.32545950451852,31.080317717836046,29.321822476077436,26.060978943312918,24.99551279836168,24.129480809581047,21.310037742016224,17.7100097285593,20.917273596121227,16.357314606997676,20.971865433446602,18.57713537080873,14.473323891362478,16.522392903508905,16.74788635218115,14.534763611682656,11.176322466247328,12.978055907206649,12.358988591075585,17.391350111089956,20.14213706014211,22.813117107751538,25.17355577164665,25.60813425701673,30.07520724681004,27.666114249884167,27.816091779575654,24.02362668370162,21.765715706915802,23.6956551163028,24.629944804490144,21.659906718976746,24.830721694166225,24.367684073453347,27.86811741939368,25.72213223159346,25.64318793230925,24.985979962396442,23.90672320312247,22.175730664405183,20.215516457544727,20.734014287136265,20.974107409327573,16.893258433328736,19.893209892592456,19.169989060639686,19.613270759780303,23.6901693068502,24.319791447810772,20.470042528392895,21.228747236023466,25.53446612918425,23.664853782300558,19.86363080380207,24.483887527337913,28.348816607975458,24.35024782711419,25.102605410105614,29.010554613413884,28.403835589151136,25.931943776061424,29.004188939257958,26.582612042314043,32.08677503173278,28.33396147219265,28.07670685557223,32.07066203224313,34.525297442368235,39.40449941820223,38.81934987872584,38.7278435563444,36.122269518779916,37.62504013806252,34.5699184602806,36.96808670341857,36.475291478743394,30.395183097037798,31.55475027719686,33.87648923484011,30.219501508701025,27.276397533439173,28.832020557505615,28.955027530397746,25.549890579900747,22.625807448819995,22.37166680868029,24.14056939426696,28.083884793786012,29.706931672342044,31.859230445612667,35.91611935239362,33.15333289451694,29.112435933459743,32.8336986542471,33.997172787163336,29.355836439391773,29.4179795185266,33.37756632954646,32.62168173712019,29.69882883288529,33.96960456732069,35.923306578982185,33.113133519204126,33.296461047297605,36.587015151488146,34.14177100294073,35.349061446247916,32.803964870686244,35.24002394976882,35.2850874409797,29.623514932866517,30.668274090320594,32.49417293562302,30.166726585212736,26.399694861017174,31.250952791988546,31.181475922644516,25.890987247602922,25.599545601363676,30.547620989365555,29.792461942110148,25.930343049330457,22.74918343690869,26.157104027193753,23.95961547473558,26.82966679141391,22.390188027672192,21.896340823885556,20.545752433248314,19.14574059935402,17.35994231161184,17.888867282454864,15.920324213839441,18.417798023098488,14.777981846024813,16.081719457379773,13.262820760228207,18.036039974631112,21.070694405878097,24.60138431530334,24.63893856004808,20.702236510594,24.30234082741697,26.809807259920614,22.46057208061602,21.800125897564087,26.221245170657557,29.724668710232923,31.427891920920025,32.60342618967359,34.49505930136306],[22.68166426942159,19.524497154469582,15.448804163995849,12.51409138516094,8.286898045481928,12.94741386578249,11.587356600764302,15.244013486612417,16.8636528923274,16.065747622560227,19.81830808542308,21.90968756297179,18.406097142337146,18.776453602892985,23.1130064459344,22.654173434136798,19.49035346479944,23.358408720955016,24.66221982606037,25.47362175097784,28.584527284868894,30.904206472425134,31.938269550673553,30.607301580773814,27.180974213867596,24.53584036335469,21.678109659506237,19.170691633638473,21.235221895389206,21.76043231871748,27.45225953470579,26.079030749659175,30.555420477215794,33.206246551411766,29.53796922340802,27.007008566646352,25.131204882138476,23.851130641236196,22.12528055132991,26.09209408403947,24.202918679768825,26.394725757290722,30.05134715505898,29.099688489315742,31.43189298101816,30.711123699943897,34.40739399155687,32.97884233414887,28.834055135736477,32.0452290566998,33.611255207751576,33.10369185222481,34.97011787274187,29.897395488753467,34.350119556297365,37.904206499834245,34.75988558316648,34.39364579890858,39.14644498544037,39.373344495265954,35.917777916196364,38.72711099115663,37.631354758729785,39.464761125599495,36.13690420590141,32.75661745850891,31.534676282580726,29.400049855080375,28.159955347122825,27.482626674101276,27.317730955376998,30.875171639142884,31.619784787497263,33.30381580524844,32.16002587616331,37.84932316023337,34.795974037196984,37.952949479094656,35.546473132685776,35.139652431694735,32.75990732952355,30.496918510376915,28.640504112223518,27.931932572994345,24.8471607615622,24.96502464254536,27.604551138674147,29.60045097363111,30.148101291860662,34.5522490769333,33.31797705424215,37.29435988847498,34.8278437373912,33.34353705062576,29.027055158403055,31.187022905199104,27.357819210109632,27.965436467520632,25.57971064193976,27.694534390412997,26.239117130214574,24.491949857550324,24.101667293506665,21.409184287859873,21.91888529490396,17.193859263677762,20.03115706590687,18.0842084651841,15.346508324245601,16.40845079506498,12.841024580101585,11.162129181957381,11.07464973296585,8.96235539683131,12.51270262493446,11.256846111441094,15.164697125303572,15.086296809957782,21.13130249887815,20.44571869485955,18.804766791036474,16.553997380394502,12.998353126860954,10.555824649246352,9.59495714325296,5.402600174395481,8.00542212151837,7.299845484758819,9.711232712482788,13.884734354865593,12.406926791122057,17.03082445585247,16.646473005676793,18.303099905836707,13.27188520318363,10.378458539751106,7.073585638374846,5.397797509802781,5.790819540700304,9.15595703849268,12.584104790074985,17.030100937769326,17.20760434947092,14.309081382064965,17.0337480217249,17.23352329223433,14.082668096802113,14.672725215270374,14.082062968024998,14.511938207474861,16.376048673284576,19.428535868070874,23.277013893007837,26.380156596535347,26.25562852397837,24.390407786234114,21.323840695690144,20.010371360705324,19.616185181046138,16.601597785293553,13.844420843992376,17.681694018368415,14.235835388989058,18.749868752752736,17.361276060501044,14.556401304039996,16.20207245553184,17.747684737746663,15.20523416159106,11.68656683509852,12.095428305622743,10.754973943678689,15.113793483687223,17.195230459333228,19.426025567371475,21.176205470745224,21.61419805870506,26.000224017538944,24.20370205563953,24.162648809623768,21.1943650131521,18.038120259313686,20.826253245074188,22.442316956098654,19.680470350340606,23.154975656777957,22.87510362458612,26.920055195909207,25.52555025208329,25.23841604381305,24.85857963905194,23.070300079131275,21.54150515390599,19.236697969552065,19.437646253430053,19.808548235121552,15.387448300720967,17.74485041442563,16.80558233691671,16.112796725966533,20.512040070173477,20.36248080669739,16.41530979134362,18.11415984112242,22.1037630831701,19.75769348742677,16.88471702339276,21.572494548983553,24.70210498986701,20.890120388191196,22.264982221929657,25.98691176657412,24.93719734264835,23.09998069222093,26.60987882343286,24.518341838488503,29.66522061369163,26.988028270322324,26.03916664843256,29.755371889614054,32.43574219707131,37.343679479727726,36.77566689384558,36.11878141170862,33.47132848434342,34.794185485427676,31.404700821656334,34.26264456420667,34.14698306845593,27.872209418131344,28.941762976710603,31.971396682285867,28.556411764974612,25.323063154357133,27.116092511938838,28.08067884645306,24.597505356227728,21.40587034712213,20.321074090407407,21.25962365736098,25.128031703942586,26.323084849784895,28.06089272766687,31.92295596906618,28.832434643558287,25.029052716817514,28.749506274759916,29.485647351093373,24.75569239227269,25.22201373711082,29.00234894219747,28.084553831739488,25.48492860202295,29.97659389166457,31.74658896754393,29.01760347743174,29.63595409606478,32.97099102939586,30.76449541639828,31.85486083293145,29.16412361849031,31.975597552401766,32.29075733740452,26.572692478488378,27.733836070529254,30.091579071946388,27.861913914876624,24.129789271722252,29.378504892435654,29.803442505776246,24.518659306196398,24.321064747377108,29.635444615293373,29.278380754230902,25.48859106961404,22.200987782181752,26.421120638201383,24.35801996845505,26.37962940673761,21.742965443718372,20.2556801783345,18.349946116620384,18.221783042446397,16.467090706320377,17.81553054774544,15.41738879099551,16.711733743854335,11.915765018385503,12.740211581287525,8.929489631114803,13.793748951776914,16.289871692223972,19.931364849025666,19.65805733409806,15.992036748996068,19.96401525736184,22.220054744159484,17.791556130993083,17.829711812248473,22.270378791358194,25.65854349190505,27.32016893900284,28.4631454381319,30.370332707821618],[19.017552384049477,16.184597361591443,13.355538258796155,8.783491378524575,7.951394474437221,11.722840124515924,11.692445221777676,16.200777292970088,16.723911111728547,16.562955870083826,20.21419239158645,22.851046632102825,20.352929243075966,19.5156310278968,24.50605665195488,24.894635534480646,21.971210575651025,26.041460685374393,27.315747579722878,29.025514061130355,32.0085163477813,34.91699937341975,35.59099475900148,34.234405597904,31.13634099447412,27.966602083566357,25.644205496683206,22.7192574599114,24.716530944830726,25.22444718533586,30.01647004445242,29.18157478940591,33.39525371113291,36.378435355616325,33.15318792360855,30.676584971648108,29.2804654676654,28.32523168119466,26.995669028637757,31.55952923027777,29.257813947617713,30.86705285852742,34.839508175127136,33.95256371749631,35.96555719673269,35.22073307730743,39.04134428235291,37.94539227743644,33.93360239704338,37.40406882577727,39.108791122344016,38.80174373739511,40.59258653850651,35.38566450802101,39.83660506518675,43.2724603896599,39.84514964872563,39.3368699678511,44.1438402885693,44.29105095001362,40.43891457549578,42.903751129254196,41.57203112763973,43.09080788770449,40.02900654026674,36.70427433426006,34.59881105123383,32.31527935406364,30.243586586156454,29.117244904857746,28.50496190060935,31.623224727747033,33.030915768399794,35.31576494634526,34.62000419252708,40.6750216648771,38.26808325320747,41.492001352514535,39.566800200174114,39.635683549807226,37.512757264817914,35.71353270325501,33.794201734195134,33.561222454022854,30.482705717145976,30.08461972704571,32.34508538427845,34.119803690443696,34.16154524791458,38.249458990146806,36.45615814437144,40.000937195031305,37.20874295799101,35.63574115031103,31.04722161620825,32.56178862638417,28.392459973850205,29.974255443290158,27.5034158458323,29.57118143337178,29.263697642740194,27.782971254357623,28.230072598862662,25.68901398229912,27.098059719479064,22.162163542027056,24.92798247411466,23.129357521519985,19.673245423516477,20.614460085399543,16.27817374907044,15.568249127658092,13.964121048470693,12.741711194741468,15.004856805493754,13.881232861290846,17.88059729213947,17.586906278482445,23.346134028894976,22.602643752336007,20.126295367074963,17.587484976671973,13.671038009666121,11.419303558561957,10.093624377387455,8.922157107317446,10.375971854514061,12.069754555525197,14.611703692678661,19.377127807592103,17.576436478054863,22.201279816362767,22.365483945168307,24.155544610994237,19.308096099698282,16.48431166075058,12.80332034288969,11.383526439508259,10.290847823398606,14.027556724870845,15.919806131327325,20.769845810479435,20.95744440673179,18.518050840067826,21.712086253945845,21.546923236732773,18.299115893294147,18.621735510788675,18.226155934287572,17.3126436578561,19.199103151012963,20.973796179918697,25.27405700034451,27.080044110155068,27.39762925086972,26.52572260936422,23.744469019995638,23.189880714099825,23.16962393425186,21.122186069992082,19.15913417416122,22.65058215227002,19.540050044648986,24.272356823293006,23.164034291864954,19.975600720634205,22.01410805679648,22.992688358584093,20.476101818927006,17.072244879876447,18.024853561430596,16.75073734326329,21.162484915215572,23.105544982458248,25.003413112887852,26.467426138667275,26.30373353165362,31.016757985962805,29.688735192009197,29.80380489086194,27.194149957238594,23.861386907745143,26.939361359659152,28.613027539211892,25.873543906244805,29.229480844130784,28.656920744599976,32.7668720203807,31.153233925486198,31.106739171322378,30.667355935981988,29.080516669981087,27.387436972623224,25.01052466651526,24.995708886125335,24.817296580314473,20.177830654337214,22.154125767051536,20.20729840662893,19.760677712498786,23.325573525188375,23.10629565595987,18.988068947667934,19.71100674279747,23.58219192533104,20.740041202669907,16.730670513007826,21.592483607830072,24.962007356136553,20.001757321727826,20.8363571966049,24.727923601994345,23.47722686652948,20.636201250984943,24.16112168051233,22.26863258319172,27.97460417348039,25.349964097692535,25.22063477930042,29.07150859923367,32.43711180346419,37.017952905169714,37.15957388528582,37.16200399777159,35.08897459912263,37.00829060852864,34.126580108674695,37.25526899452317,36.512167025118856,30.263696382644508,32.12404282123661,34.95912874015039,31.015943154654135,28.316083885471865,30.740709069979445,30.817462093937984,26.884413323648808,25.010679339615844,23.16278862454228,25.29697349769855,28.929158924963662,29.43500794776338,31.58957437114961,35.017752387610784,32.32105826198012,28.322802426112407,31.15830722708826,32.02630681145086,27.210239530218743,26.936238316218358,30.321236742286086,29.093071631184397,26.02106132481723,30.541290682905743,31.978695653771073,28.559039202145204,29.144584248679777,32.75660625264542,30.73758555597312,32.58402191035957,30.58416310766246,33.55365530657812,32.947685913090645,27.167307254644776,29.277872699799445,31.012206577510835,28.229129684976805,25.28142003162721,30.76697636216755,30.149838564783842,24.727704865240028,25.644450501025467,30.661119934369697,29.371985689187337,25.34133192856365,21.3175491615416,25.2397294997693,22.225571547959472,24.279154986731918,19.137322181842872,18.60773788190341,16.042315955755537,14.964603802307863,14.242726097809836,16.086274648186667,14.906139271093771,17.225549767260944,13.0849762921026,15.68181988015859,12.011591396405656,14.909847120244045,18.294501459538065,21.454968243028098,21.00128750683037,16.656484318654353,19.83318918251109,22.046789900194568,17.5698451726785,16.234687851381757,20.85469899487647,24.141533313081624,25.883407978959294,27.202124961960834,29.11443395067746],[22.98204130001314,20.557611236984453,17.787501084071973,13.283299961607078,11.365778662042093,13.014959381859567,10.778791997196565,14.641313263376762,14.109585844535918,12.21553530175457,15.664595412340274,18.826830967295578,15.359999094993508,14.050324795793703,18.912128098272944,19.349161164094248,15.95132846196459,19.78734196284168,20.889721220224644,22.85408194935488,25.789648499981933,28.963749729514273,29.58532528649768,28.464410564967757,25.396146223750396,21.92222148619341,19.779831804372012,16.640128644762164,18.75463179406255,19.74573127561776,24.144289425339498,24.016977272179076,28.209957103548604,30.81493381087492,27.672222600270835,24.894333223144436,24.104522160152904,22.808781763498843,21.77308061219536,26.962122594014453,24.32197082686541,25.23916510600692,29.42592373096052,28.811879740861706,30.774957256643006,30.434635700111325,34.26985502360348,33.07161865086961,29.52685743393804,33.41459606084463,34.794939034114925,34.68702142158103,36.18122600616673,30.788222074708028,35.16857825356047,38.385414128636576,34.68372872526357,33.98986701893346,38.80672089635065,38.926550513703,34.73537491189633,36.938188076195566,35.528410688486986,36.8663728319739,33.94693817745145,30.65195143608656,28.2279339808433,25.968878793006084,23.758408186690883,22.75794855011584,22.103433194471027,25.320850718211968,26.67440958803464,28.843972503448747,28.289821750328926,34.37906941349035,32.10728580357794,35.4897285734074,33.748076763580244,34.00681999011091,32.30470172108965,30.88196449160176,29.39560165360973,29.608844196436866,26.331370476005556,25.367398268703422,27.002876689007078,28.948916900743075,28.359050125526803,32.550053852604776,30.464123235974313,33.896074185365535,31.233764003304564,29.969226682813556,25.479745868448973,27.139853019397282,23.09480075746247,25.045504151893084,23.110867718278282,26.15319597795381,25.107931706816853,24.81919102127664,24.494719749468487,23.19141559726369,24.89909994488494,20.73418978978266,24.43401124042586,23.408334132379093,20.694134067325766,20.593356161855056,16.578035445945957,14.026354524352714,11.614195413700553,8.983691734341255,9.534183763813338,7.77862663119101,11.592046315334853,11.435777611229277,16.988603991717067,16.140931318727326,13.64741123188691,11.2472471026981,7.21472169249764,5.218839880507684,5.740013023972311,5.868457729307109,10.662146858370813,11.656566412237872,15.05393786260796,18.963339435872417,18.81005229637957,23.2860537044428,22.718548403765016,23.59196566576236,18.845863023049933,15.068094278480208,13.458577816056458,9.85029722905072,7.105844336302008,9.903430106303801,11.44851453016604,16.12271831456828,15.442775125526973,13.173310161187278,16.5153469914604,16.055156069355203,12.921649240342948,13.7587029534348,14.47203185174919,13.972546239132011,17.240345225687857,18.811191285797776,23.5839114500821,25.700734935453248,24.883591138194156,23.691117864859873,20.271535557722444,20.406736211011957,19.199275189438396,18.257231660382434,15.657522870526769,18.033844706580734,15.134236137299927,19.971875075323908,19.8328786983479,17.123771835367258,20.225351427442952,21.71291038317563,20.19998810354551,16.194605297787643,16.966323528000153,14.408836693454765,18.30151233604333,19.9031422166718,21.329923944684207,23.10189079680479,22.115537633522855,27.33674871017877,25.875044264110297,26.661772567376424,24.147731256238487,21.629570388113535,25.285236406432073,27.113664506296406,24.016650603014124,26.229574134951203,24.80148499387694,29.300015198028674,27.891262705606675,28.616617977633638,28.82609767500284,27.46823726827557,26.721239163850356,24.93267930600632,25.602739257872546,26.401213216410916,22.148734692232708,24.530388909132697,23.511750226137014,22.34549563623229,26.683855572574238,25.874838266446012,21.825079870027693,23.816825450324824,27.479084913524677,24.3345045101193,21.505464414222914,26.376194929027267,28.981539088721043,24.307886283978412,25.8173677401746,29.50637994951707,27.63147808212144,25.379818348849696,29.39954482751553,27.842688425167623,33.28726696658407,31.315615100282365,30.736186430302478,34.397111392804945,37.72100244113475,42.39753902850116,42.33469694630501,41.77464857786551,39.41022925468612,40.88119187338182,37.46909270835328,40.653386679233805,40.54011443732902,34.20868961027607,35.443373260925746,38.67303885464095,35.19432281331246,32.0288766868677,33.94776255385691,34.874000952076614,31.26850356013501,28.288831432063223,26.97615375323404,27.788590327130553,31.56553094798071,32.37786007683454,33.81277724380083,37.33690370808999,33.926318937253725,30.48094772617263,33.86852360414964,34.016523175610615,29.15122306955649,29.866568743253318,33.057570148205194,31.573927415383096,29.187036967506558,34.02827404120353,35.180084753721886,31.837422220614474,33.16085380129784,36.82022077556449,35.07329689834416,36.63298195490509,34.264458064030656,37.487488903298335,37.45948108751408,31.673672377588975,33.48437502542,35.803572474585835,33.28652237771877,30.036055144588264,35.553895266145304,35.572113204869886,30.196360271822616,30.60467004182285,35.85463486672741,35.05395801807271,31.106887815592515,27.305611979635284,31.386439531665726,28.58323674354605,30.565999578776154,25.413905656139598,24.44320983832833,21.540373649691503,21.130964398596035,20.40252821586496,22.299959840610864,20.678673858560636,22.42896064589398,17.51412567115285,18.950037368356472,14.492405507308158,18.067419360896874,20.10965771467484,23.59434085501446,21.936453400615818,18.53572996028637,22.63590546797521,23.909781725601277,18.642943238480395,19.0735390838744,23.99260599279462,26.744381597288033,28.20711183366685,29.33455444437792,31.219340132321438],[20.39618216238083,18.490926700956898,16.542147143229087,11.848081183296886,11.271812258254622,10.662401008932873,8.536265632983104,12.369375591870641,10.819113561413397,9.521679980198403,12.825480586332311,16.12829761054173,13.831629451427345,11.970553893221734,17.16028449747239,18.16646376986701,15.631843794214463,19.826030335766916,21.696157932338483,23.992655534180397,27.176395572795006,30.71888437989681,31.471782258970265,30.769075060873497,27.70300042652409,23.880913732814637,21.779953953103668,18.076195085112577,19.34691431961168,19.67414663204176,23.335630387387262,23.187838564454882,27.046261874257684,30.117623545889312,27.43785248961466,25.114885020929126,24.402813242453014,24.102432695707478,23.68416632709365,29.24630150268532,26.98996631485094,27.269435678097857,31.542451586058686,31.4433820956922,33.554700226073514,33.60749985624206,37.39194358511975,35.94527835562649,32.76151984459898,36.78011923883764,37.75600981072565,37.56233950940906,38.746447019405906,33.27402296295264,37.161369713129844,40.57594511394049,36.930111396066295,35.66596120104426,40.4825070620752,41.027667779810486,36.537806925516534,38.20796269374125,36.35009988950949,37.85785576565216,35.36555977015631,31.83305741949474,29.029121773687695,26.273641879307696,23.892389172903943,22.09510034288808,21.547543036284686,24.51746825213389,25.868992095852462,28.71143139840729,27.96687480141506,34.20871977294247,32.4598049024268,35.537704704831135,34.21915138885751,35.009864179485305,33.22779265863346,32.3766935207702,30.447903533606272,31.30972904643587,28.35435567640561,26.749760976085824,28.316169045040326,29.567029126987595,28.96794502872019,32.47303280189042,30.15637569048446,33.26832358758257,30.231247878245824,28.637676953540357,23.961798701379227,25.091043367574766,20.836118030339676,23.18686126985582,21.067653968195533,23.89039076695541,23.85209393199066,23.732006586976745,24.241702374785618,23.115352227775745,25.792181022034214,21.615348707456754,25.392845509406953,24.884216546362858,21.793402089135263,21.107698183809397,16.731267086779756,14.709741947162774,11.122266229696413,9.887739478499904,9.50606198983395,9.262133704550553,12.813708874156307,13.682150434937899,18.380111160562087,16.583012510787047,13.852906794500267,10.78265119583959,8.014640968490317,5.473708953721404,4.238529725206025,7.6899447902198395,10.70079316256743,13.119968112329389,16.656424000608997,20.793391584781062,21.17921402720527,25.528057213497643,25.560859800474812,25.9174088769198,21.77333069791057,17.771160440340196,16.608973064502504,13.437501428838342,11.189749562963364,13.48164761066386,15.291882258754477,19.705189913595863,18.308607886342543,16.024047446163827,19.109199985847873,17.650972819078063,14.614985696536793,14.376498072964509,14.841748822883261,13.032836981591423,16.189092957881673,16.604707449329794,21.637007790070644,22.85162748731515,22.160772515382888,21.689861827517273,18.597288772266577,19.391115586480744,18.635330634100082,18.642698914890232,17.299175822920578,19.52590570689941,17.848362259803583,22.44689364553605,23.155148739276083,21.03975428076878,24.052187656021893,25.87278083801198,24.24870940974169,20.289233675536334,20.694518885200413,17.94219060497001,21.269096002332848,22.286143427869288,23.091071077118013,24.220830971803235,22.69099479390567,28.001774196806743,27.321198909585014,28.164386316608663,26.501619368803244,23.516992295614322,27.802598761234467,30.022041975523205,27.091330011891703,29.25588122557795,27.72718859540789,32.50176804392932,31.46206802506552,32.24395693975323,32.60830307263032,31.01712297112309,30.357184608927117,28.419400412309294,28.867712710257504,29.53131806980492,25.10659834203331,26.98970703776091,25.49689301941084,23.788332463359605,27.825872282976224,26.423122656857423,22.39089564293325,24.54470816576289,27.765526574339578,24.052427940356456,21.543992589643267,26.333772193271333,28.33328108459849,23.272545538808533,24.97207258191933,28.452978573297976,26.00783644116499,23.77432514788812,28.109440453776433,27.058560547892885,32.38725877351428,31.349210763607772,30.75062991646818,34.18107649384687,37.98722329089208,42.428478023904745,42.76316781922454,42.14755537358211,40.08064022741888,41.6922881309508,38.330673060864214,41.91787474506683,41.77557334921514,35.42279412371462,36.92935145574522,40.47784106407979,36.95713147601735,33.89575928417756,36.18430020637441,37.199762391075,33.407201411558425,30.853974693698135,28.82125059307322,29.610366576825477,33.15887631056747,33.357281215197844,34.62682539099155,37.712114421667565,34.258993578303695,31.03187488834583,33.895637407063944,33.68153393040279,28.802766541988603,29.514201524169987,32.18759820919885,30.34118706335994,28.102496164333825,33.07694826155781,33.77106200527123,30.090469141463707,31.87776474553268,35.68842055355313,34.33403288605183,36.207736049993734,34.15226538470182,37.70624833569032,37.40073685045144,31.66643948984275,34.02126146436274,36.36274576001787,33.682546341869816,30.92590741894174,36.70187446959821,36.53201308851414,31.201765304697894,32.167615979212584,37.41011165641226,36.418788449796516,32.46800794604606,28.351955724196802,32.642646238525934,29.514174174042342,30.95935718974707,25.5804350592875,24.51314916586215,20.92377237437932,20.952002320477238,20.881887652157253,23.390967490508245,22.15298569526466,23.62026623162587,18.56285792870005,20.372534398866076,15.636208202852846,17.902711176136194,19.660402885956614,22.797464110519293,20.48034641113269,17.256625955352053,21.115288641964767,21.784260799326976,16.333495734662552,16.876387885509562,21.830621606091302,24.124923260746094,25.473723620569068,26.625754371262573,28.483701755737094],[23.19512676667064,21.78679481590657,20.560642932625303,15.561468110704968,15.837469362350307,14.569428083661437,12.394847645552192,15.567676217573773,12.712061906544447,10.46963406973815,12.765775807623568,16.78327791983972,14.593305699527681,11.240550851348148,16.345707704419837,18.06274151327189,15.406388428195505,19.018419103788037,20.33659559396941,23.423353459652674,26.18152394521966,30.148566718999557,30.480505617013606,29.832685751073978,27.217194411317724,23.073374285770612,21.719021666711704,18.046506014931627,19.439377230275227,20.30524533473238,22.734357963227783,23.716453718529035,27.21063437948907,29.975597320157892,27.71640391344465,25.17662967151865,25.351279808423186,24.743319440625783,24.648206717590774,30.60723773567308,27.81661316196506,27.39255709165067,31.82681977772473,31.79206458969038,33.49964467097053,33.67513597190145,37.46173508342828,36.320329723488626,33.51386723590365,37.81078704665664,38.800487469724416,38.91234515827289,39.9364793071843,34.432741801511035,38.339434474399575,41.360787038402314,37.38915625761451,36.12967880373979,40.862352772241515,41.15868755717268,36.337284850665704,37.663302430254234,35.753711970615285,36.74589350196392,34.526757745020134,31.27123971507657,27.665157416578992,25.080090084692326,21.92511880179549,20.089233665499382,18.99532888791657,21.481844404485418,23.471341581747605,26.52888099861383,26.45593770710237,32.804552362077835,31.650764956597776,34.91801611069828,34.05836944906628,35.1758180024281,33.995217594574214,33.57782734720129,32.13016504220227,33.33321200243446,30.242789193694207,28.236079044915577,29.04199859984008,30.429925764653692,28.97556364375828,32.38071145236915,29.491426160250974,32.10050021070716,29.09044020277733,27.855110656469193,23.279399328527305,23.988030060896037,19.777906461331902,23.233301469539395,21.71373295715191,25.21098374967313,25.223083520610988,26.140301860935523,26.40122119149002,26.17285261038093,29.08268268829885,25.36048026295732,29.403043357776273,29.1201961849012,26.24275662706474,25.31206230310921,21.078184357796346,18.646885258326396,14.801445632208765,13.190469768700854,11.079573256915495,10.378561791991968,12.790102976163293,13.227985686246473,16.83260949707566,15.287844602978266,12.006808975313508,9.41563345348187,7.078805054771288,6.6488750515393455,7.577355832574025,11.58791289989151,15.226148029163907,17.420864420581555,21.029052690364946,24.86824997048204,25.48514185539945,29.819945468047713,29.519504357386797,29.774558703921546,25.540720360181062,21.41936241803758,20.55571203945599,16.832388524036663,13.833838164298074,15.630696632742302,16.029011606478274,20.059818728318543,18.46000419435982,16.9428398965111,20.12211613555501,18.676990627552517,16.053591239347437,16.303360656615254,17.607135736202697,15.839975669596098,19.518871344507797,19.215357384611085,24.416706496266208,25.06076563587513,23.84632567037832,23.7492192866354,20.538002224632557,22.11855770029621,20.73194166473651,21.753728471477725,20.166917913358837,21.41491693791594,19.80260419331007,24.3070605109383,25.349393233290378,23.141633245848002,26.738278127915468,28.316667426335805,27.217856954451225,23.144178944895277,23.856859298769113,20.851108096646186,24.04797344637929,25.007813977616987,25.568197947440503,26.887675023536673,24.742294873146037,30.29910168889945,29.577004140422467,30.86726456829519,29.19246077307185,26.824111641292138,31.164419746771948,33.28580238540849,30.172127734353115,31.653947807107087,29.56243808898379,34.34121004209569,33.15416420160572,34.475287624924,35.087277755222686,33.84863216032074,33.53642117291626,31.913350714206295,32.655863995147925,33.543789545921676,29.249088609639866,31.36789774545478,30.026601738960938,28.395908570186656,32.47769280343424,31.047042080243376,27.03287514876512,29.16410694119666,32.363853451915034,28.564851430128062,25.977670648733238,30.754449773822436,32.6895655349301,27.432885504791546,29.034959050650542,32.46843021102752,29.834354910322183,27.39179104237855,31.731658034535137,30.850031237920557,36.271842271485774,35.28724676478821,34.95412618897715,38.3923318134022,42.339514269344306,46.68340718555012,47.175533357677544,46.674433614018405,44.681400092204754,46.33157544280786,42.976369098266645,46.560422066560825,46.40613181493257,40.05811187894342,41.55671824385617,45.05397086749832,41.4999504083732,38.452895783867675,40.6620525769945,41.58085137671938,37.79807576950959,35.200135267567596,33.36769438907457,34.155551183180584,37.743294967565916,37.99497233440672,39.18602316114786,42.23038704511794,38.67349282035451,35.5767814858972,38.4131698948218,38.03079158899053,33.179358334995364,33.981197691706654,36.46133437604134,34.46025743529115,32.33094727966936,37.329161452597674,37.80328150428287,33.94253085803974,35.92813892693871,39.801203498496356,38.59762397831495,40.61733678392408,38.673258423193566,42.28040130816014,41.86164820271924,36.145413815824746,38.62291174589933,40.885011864867494,38.12415047912568,35.467268438475394,41.234314802569585,40.886649009755196,35.53324087793032,36.59329252569861,41.76693514410416,40.58896458555088,36.5843181757573,32.370571914421525,36.41007789947724,33.034148252383694,34.649976191018105,29.21307655986546,28.547718297316152,24.84031853319822,24.491535235219313,24.736806859295694,27.173436463406496,26.21402713022923,28.01194187271985,23.108378454443184,24.991605949755073,20.26985456987997,22.475001873479474,24.09790795368225,27.131554717515943,24.426327154987504,21.47624072398784,25.200723104639565,25.471841991376643,19.97867556891191,20.60012799470697,25.469567016773645,27.373913418975196,28.578389390063126,29.665901986518495,31.42011146639591],[24.167549670719488,22.84466817941748,21.30522385389233,17.113017249148097,16.363845750454605,13.97811035753559,10.773698304104448,12.692739176939451,9.3421116410674,6.005166171742629,8.040217525092535,12.139350616990562,9.862111332290528,6.440052505170853,11.642423451838987,13.346987787134426,11.272547034165443,15.232217711297988,17.579426477055332,20.3421182998283,23.552400281429104,27.53350723923106,28.326825068322698,28.22267876568935,25.31256989950702,21.119397753034118,19.38011751709742,15.270518465935787,15.732752977072943,16.002707681932144,18.246965518640792,19.002038590475927,22.40329938818253,25.34944054577879,23.228321691399152,21.03185003232015,21.130960762990824,21.301829385990647,21.723829700475957,27.840555801821125,25.669474907546192,24.77609527429623,29.128782267728393,29.685732262563846,31.785768169951087,32.49347619745397,36.11870977154992,34.43899513076422,32.046840742487184,36.3617318206211,36.743852241356514,36.67545829764586,37.34136595771054,31.83409723199219,35.17507134109233,38.43006884693821,34.670533939936846,32.845584609335404,37.547113351671946,38.3659198722173,33.444626328999995,34.40649129440776,32.156250682266524,33.59268327661347,31.63678805886552,28.034554536855413,24.667156320219746,21.568143673458405,18.956263095909257,16.556286186427776,16.110962207267093,18.931007818818188,20.145979333736957,23.43057269158669,22.66775608181114,28.986879565782317,27.846482440892274,30.789425993765924,30.02917627780293,31.416184073957243,30.05617127441913,30.036694470489056,28.295418622554692,30.00447996756114,27.22979224772541,24.69931216880148,25.49063489814579,26.323590176972786,25.051516372334284,28.011811290052336,25.2193860250856,27.886849493792145,24.715297420638755,23.226304677872378,18.578357381922974,19.384804162571783,15.143926978996712,18.35803408589548,16.876030719623568,20.612458716027767,20.510111004448877,21.884436685512494,22.146558755522292,22.495658837288786,25.87835281652466,22.681318581585614,26.982961713160368,27.356941896197895,24.8233575329511,23.157411258085393,19.303676997382322,16.431628046161183,12.21222306702777,11.006281292005998,7.722038342422296,8.486125687514056,10.345498658901,12.320352543824386,15.221039181232364,12.403464761850136,9.697097602669414,6.345919520201698,6.535315930049052,5.443848507885088,6.058791296258532,10.922391328664473,14.282133957867362,16.3359021692809,19.97043469178794,23.223137092153753,24.91589775855446,28.879451732141103,28.685534866410595,28.12698297687661,24.61350080721404,20.213557548996427,20.66188843606289,16.84080157522637,14.3217558709475,15.10907722973626,16.505785836968748,19.959220430253662,17.3753366060053,15.563572688472938,18.148361896573217,15.721276634071877,13.377963287168576,12.80575649428832,14.245524222730193,12.197347111431156,16.207397034131432,15.50903912405086,20.702128901140874,21.532302421082488,19.706182323206185,19.44836372231274,16.118542820474385,18.156760077412375,16.49019760069193,18.411037010117315,17.49485797468009,18.232062175119406,17.884760431004338,21.90688857382007,23.965827165064255,22.77309096724838,26.26792866732028,28.518623817719405,27.587572268874112,23.526872900043994,23.607141902125466,20.152685156297636,22.407728185428994,22.68135389970292,22.584175132374526,23.482850531892744,20.848039268824515,26.410912973842624,26.177508776535177,27.638934475993032,26.700569110440547,24.332408222468686,29.171571721506393,31.618946779887064,28.65142159392635,29.751752701185442,27.518122089180633,32.56481313347463,31.979270336461013,33.37769048677554,34.32172830369862,32.841608418203066,32.94721723206719,31.42557541520489,32.21934125778896,33.44978025641597,29.340498507871747,31.21230015020424,30.151814247382895,27.869707569198475,32.136531317524806,30.166235847356475,26.37294270908215,29.273806378929667,32.10815193368811,28.130699135417807,26.55373114007458,31.16771133269619,32.391552695804364,27.585972251422906,29.71133083429946,32.87613450045316,29.88811869548585,28.16862796819521,32.77488650361583,32.135326464698814,37.132387315150545,36.85628251687488,35.97118075681681,39.14344621158062,43.050261196725856,47.41594320067196,47.76815464066053,46.74112213409867,44.61285336922421,45.94503345080331,42.27898751010441,46.022741906880135,46.314736303984205,39.979183271414634,41.14775207278266,45.05262543608168,41.865594269926234,38.58077421145175,40.65005549314882,42.25010466302533,38.63680324456167,35.58715344113085,33.65278147913126,33.57251253983717,37.03006373691636,37.17691158854865,37.82988141876529,40.7089637505079,36.78928450449069,34.18055255209338,37.126307529553834,36.21158937020539,31.471778259256265,32.883340480070544,35.09524156365626,32.961063808995,31.39406660081818,36.48367639721562,36.74616338333096,33.10910899666878,35.57337588515967,39.37663288978121,38.40996959790052,40.16279376792851,38.018447294670565,41.81617012898163,41.81068995825051,36.20141879786437,38.513959727937056,41.22152488965374,38.69518016005062,35.96216837260885,41.77908930462087,41.95991024042703,36.71938199038293,37.55485573828558,42.904510206075976,42.16405596419718,38.279358691567936,34.21700116094062,38.65807068506171,35.568552803985405,36.79224390153393,31.390351930659595,30.05305785773936,26.184266995100423,26.689449725640333,26.761031409531203,29.42205503857298,28.059830892793958,29.138755903160114,23.779037303549735,25.008906066390047,20.080741419932888,22.116807537920543,22.752448399645967,25.73573324410688,22.379125669237215,20.29481659843228,24.360648674144088,24.009634480856203,18.41363497958045,20.290849529682347,25.02435014631509,26.55147317413814,27.5526270776281,28.471544486117402,30.17230060451309],[21.63420941673106,20.860711449021505,20.004893218175457,16.440439918093332,16.439472426520833,12.248412992415332,9.596999344174007,10.552114206166475,6.080162539955437,4.894005272558301,6.078551144422051,9.603228304478218,9.866452149404228,7.156929281680478,11.765489993120806,13.765399142633054,13.38325974507164,17.544548740480273,20.840839882197184,23.32454447430032,26.829721013987037,30.785347027080945,31.897517301613334,32.155987440321965,29.11971119294584,24.969055777921163,22.98228904666922,18.673652854121137,18.147055644599533,17.27717404820564,18.99939473503121,19.027171331179517,21.942081769892937,25.56890105026164,23.930441610072794,22.565432629889223,22.259996618559114,23.720183547052844,24.55702243501451,30.55539915253088,29.091842907412577,28.034879303027147,32.22580302391645,33.2127606534769,35.60302330082781,36.567083751636204,40.08613209108706,38.06280556364556,35.83045325638835,40.0393657053981,40.05224556924208,39.74266541045945,40.18705009681029,34.73738206718143,37.50159966955761,41.10206927668663,37.65188312193107,35.28816405089296,39.918395171982795,41.29815190112179,36.360987780222445,36.914636771541794,34.257834334088116,36.120049132045004,34.54429965092897,30.66508667657171,27.461840933197703,23.872899438080864,21.665603324991682,18.481946677495625,18.52918931302668,21.03155209786798,21.8021694067652,25.635865605693695,24.299611783652097,30.456714953179194,29.671459617150553,32.029383394353154,31.553747291023715,33.33070114733252,31.595090198729356,31.969554929819807,29.545325128470047,31.70939614846943,29.4251648259015,26.563341370964437,27.66307745344202,27.602022765686492,26.851400975254826,28.90179120426506,26.25622229155802,28.67639484748436,25.113456290368486,23.01902748264838,18.295363305564344,18.462852313268748,14.11173462251135,17.13485425637394,15.132546568099743,18.02022544046382,19.387872797796668,20.456505318012855,21.89607857295126,22.039148019491385,26.2325802216127,22.99247781331824,27.056179981701153,27.84573495065385,24.99494050818337,22.908304357253495,18.964223983372797,16.992428589002635,12.32493575882064,12.840408158609652,10.244241400370083,12.321961304717863,14.209544557079415,16.81691106451756,19.34277377605993,15.834054270907725,13.622072425583758,10.233961064591837,11.26088214317997,9.450840889646628,8.037618243305515,13.17329384732252,14.52353056931304,17.47825115271941,20.899833749491336,24.28038742415922,26.266128654705543,30.00445696538492,30.484685381556602,29.54752958539483,26.677635979242137,22.325387673372045,22.890524316814982,19.732961962678306,17.876431719568203,18.791314845822832,20.945129117845724,24.417574835114902,21.628214120204017,19.520202641957404,21.733023432843716,18.653676311759323,16.418350808345135,14.639653735603524,15.198772864766317,11.900283323540355,15.024028260254624,12.97537489417306,18.08564118839139,17.824599975710168,16.33947980674906,17.021781461292527,14.460805353795564,16.970026083718608,16.313002664323097,18.76535296943014,19.317792781342884,20.376242529146086,21.056645137550422,24.743428309487534,27.21047535503409,26.47083369258562,29.537914376369876,32.100656380829875,30.806433439419006,26.86660128679141,26.577943849695046,23.228523038674098,25.11163742041169,24.931447164725466,24.399838981234513,24.500436775417704,21.736035070795026,26.976102701853446,27.630472695858202,28.858782651170827,28.79252302776809,25.75564423450979,30.987307415331152,33.77948516820586,31.108894240422792,32.51711637408149,30.558002819241022,35.730580108125174,35.53205977643032,36.66499516304666,37.58322633779115,35.74650370834632,35.72791997769997,33.93611862653165,34.38762163443435,35.375843471483506,31.127914415373358,32.443288253810884,30.95059102784757,28.208376937619388,32.05978659024298,29.566892258652395,25.963944540064002,28.970083779639076,31.26208489787778,26.90939468379451,25.87834930280274,30.188717690561674,30.702398432430122,25.862871622177494,28.18933583542692,30.98629581619597,27.537120346119693,26.12982320331475,30.889427901460547,30.7546478884002,35.36887737218478,36.07619516463125,35.03555430977694,37.86480649217292,42.0935930703537,46.1890813220133,46.85330776562072,45.694128595994194,43.851395886231984,45.26018747729841,41.67916239758674,45.7704155554667,46.06213391510115,39.80776419425128,41.19630986617116,45.38760959246021,42.23910097529671,39.08367530145358,41.48528417192542,43.21185840369673,39.48525168881749,36.855804733062854,34.245878986974745,34.10804607703269,37.25818205870052,36.78930675956631,37.26314994941069,39.64294812956775,35.78127820798003,33.44515462571043,35.80228822252757,34.54793236531007,29.935867382613104,31.332148991874316,32.97169703859208,30.54860262149735,29.24203609617905,34.311349622409836,34.12612731466885,30.328134048248156,33.22173935625743,37.047748363244125,36.489599461653135,38.43287073791477,36.5934879187689,40.63628636189429,40.43898124813684,35.023086314418,37.73958464831396,40.48147574116568,37.90929503336256,35.65958832089957,41.59897394970778,41.715453087305875,36.64550256378758,37.9050712798597,43.19505172344578,42.400069519154854,38.61264410959333,34.42075858967208,39.071279666057556,35.88994105724736,36.50228522015165,31.0950635349543,29.499439577558476,25.2232008587774,26.342139518177838,26.83727518255045,29.93824911717923,28.795638317010386,29.42100790487796,24.084467924728795,25.476695295458452,20.5918477210051,21.360927717368426,21.566477228422166,24.032283228844577,20.170755591651687,18.547663029211503,22.153055150119386,21.118636898133623,15.742669012218744,17.916825282762513,22.29869861874135,23.23479490646582,24.038053421822653,24.91349577749787,26.54603617148394],[24.78061405428141,24.286644739320582,23.612235971177387,20.21392348150922,20.115533542163778,15.721309209147087,12.901733548663255,12.873827128398615,8.11136047065694,6.130444289700489,4.748771499910593,8.469077665400206,9.445283409259995,5.9568120472617005,9.4411021033422,12.106743747620527,12.523478526960716,16.09941526560439,19.609637991455045,22.29525387438317,25.67307577394052,29.806588423832533,30.904228641718873,31.53079665991445,28.693177984995557,24.459791290056398,22.801531332428116,18.50374836896247,17.421324447724466,16.46303582928977,16.808538354151803,17.53181008051709,19.864514724398127,23.378235329906218,22.300925692535166,21.164287913527193,21.448217021228047,23.237417013534962,24.578286124406468,30.718286648380026,29.328014941439623,27.596027524532705,31.720626109135125,33.07941337330688,35.395721122963,36.71163773983035,40.08418716120542,37.979106495311484,36.24092481955643,40.554017383826285,40.245103911316285,40.02389908484328,40.16028544707195,34.78250441218543,37.1669842484536,40.60614941356258,37.13338960774897,34.45367879428904,38.92694450499608,40.46196967712214,35.32091837376946,35.371906130538996,32.47044411754763,34.24973295313751,33.09806620383717,29.259923798157754,25.73001898410696,21.980814177716162,19.695325871456657,16.05589345598977,16.23904190443629,18.382314071127944,18.991304614484392,23.1656794045703,21.8274565060209,27.887377051111404,27.647091112413055,29.81486150026594,29.80139589801619,31.99493351853749,30.58207033939648,31.517234110878036,29.26169937086684,31.91274132329882,29.79111780223744,26.446304152106357,27.011637369141617,26.62946964642309,25.439811551454294,26.953596837717175,23.99161621348865,25.94890442277447,22.28213040459484,20.23847672019717,15.645467032978404,15.302219389581017,11.016905553037242,14.895719342517062,13.51820842913909,16.968117350666354,18.431031430337814,20.56403972426965,21.842060106996183,22.932839774866906,27.398922837617512,24.80011913160518,29.025900108342064,30.22324421533116,27.708159131160627,25.235645926770843,21.678544541372812,19.362881942507638,14.77587933129434,15.155082065036115,11.624582391941573,13.847879343726431,14.684782342151777,17.577584009459912,18.884970926518513,14.98295172325535,13.107349540154845,10.216439264160712,12.616886591987951,11.642812738294703,11.087348296371824,16.10717411497437,17.771800988635952,20.38640205741833,23.770604354378403,26.681714809194123,29.175751074342074,32.71906799224882,33.04224102677542,31.718183431115143,29.14018853562824,24.699819722673308,25.869944996729142,22.444139329119867,20.43801899942523,20.79289141461006,22.608230870063306,25.547474811986675,22.311981524841496,20.569619135946173,22.43495788313159,19.00569165501192,17.320251752588128,15.50159936748218,16.535596907992048,13.418174041128612,16.701098947129665,14.066637131523919,18.87479471239142,18.23815179396355,15.971524982062986,16.92146298442917,14.450848980708702,17.716830241718974,16.549309788861045,20.057184441572897,20.787598822344904,20.983905399445515,22.3136230931248,25.57163883029119,28.63909494352829,28.304037267226438,31.575361237442475,34.26422810213264,33.317697305511615,29.358997546535004,28.985878127585735,25.396901705065584,26.78633181923237,26.266326306219295,25.279103547225635,25.246642377920804,21.913115210816176,27.10864929595944,28.035492365808558,29.596533459373635,29.923743717222287,27.313584881583996,32.69651515708589,35.54203153705179,32.87678942659444,33.701482566205264,31.392296329852595,36.60756269269099,36.63205576251974,38.08417331792525,39.28446773219843,37.551062696508716,37.90858829777159,36.34752832849809,36.97981116046372,38.232701480714894,34.15768526949518,35.50795072724649,34.24092758371778,31.319683170456766,35.255365905364606,32.56564474751227,29.113844669665184,32.385185583952925,34.51647147784365,30.123590873373274,29.455185491720407,33.66369312268851,33.85782181243927,29.200962354793763,31.653628316606518,34.28673823997564,30.65232651248257,29.473267411875696,34.268724542070956,34.30339285817043,38.74823486791921,39.74737203485129,38.61729978560784,41.32802250855636,45.5737018246976,49.61447422041565,50.28551525712229,48.950599488491264,47.086208624787844,48.35384156115764,44.64855977455058,48.77808741115566,49.27444475306491,43.05829139188508,44.273333458226254,48.595493805219476,45.60810484730738,42.360685612278054,44.63313902762095,46.60311492116351,42.96941517806239,40.11022003669406,37.60472080894242,37.09401485436235,40.19285846654023,39.73054588580522,39.90601983894585,42.16713130172915,38.10873005580447,36.11225005312531,38.49231007028466,36.899439992732155,32.43813254384602,34.15726535306985,35.54326012795463,33.01289509502278,32.06902382060862,37.110058132434276,36.70263891573809,32.98435607378927,36.16706100686621,39.94108861122113,39.57944237851233,41.44922305236606,39.58588232576862,43.70349246095148,43.64825050617569,38.33147711509516,40.99758171635751,43.88156494080312,41.39058033332636,39.148240602378785,45.06988995381518,45.33270731784439,40.308777898209634,41.49108721285994,46.81263200251393,46.11832468088946,42.355938032142724,38.19482958711637,42.86928940085362,39.693467268015134,40.26368164901058,34.86387237346709,33.2174833888987,28.89242465008645,30.105661137058238,30.63673246622692,33.74464500129758,32.55729617977289,33.09333071276327,27.68207608690479,28.833875141056705,23.938617437626725,24.713586176881446,24.4705157321175,26.808258763525554,22.57466345413829,21.55712700145189,25.13003293165364,23.63802403680887,18.474436397168347,21.121470812333556,25.23871824519885,25.747288548839276,26.33731304618923,27.042341817397435,28.512822657968556],[27.1843599022019,26.77549612141506,26.36511055805918,22.31628310226353,22.69876677225526,18.89341848936038,16.24153787351931,16.931956354031392,12.258444293538394,9.717883512915149,8.563051942078625,12.475165826547165,12.539141055184139,7.954551560769358,11.09110283683365,14.194561113864872,13.817476795597255,16.5828299969428,19.071952023741297,22.514525346709323,25.31237395386777,29.747293156326155,30.320282570807098,30.798025792822493,28.438301807683484,24.02368220768996,23.10154919257397,19.07082464634995,18.58468828237215,18.560036517324495,18.036204155292165,20.022980797145614,22.139150423390387,25.041317226458297,24.17952851103653,22.56103420285706,23.666204848351384,24.609972381401445,25.903667080395312,32.23720005802489,30.155934899441935,28.10116641704831,32.359417538279196,33.50558274713781,35.34604089988589,36.55968232614506,39.96953653892486,38.30793833788351,36.70692708335691,41.20282937600915,41.15147403089272,41.249369366088274,41.42725182082509,36.042703078602116,38.73047574354095,41.71565897430213,37.89308799099438,35.51671711290881,39.919673163056046,40.98447747164726,35.64740414434764,35.601039764463785,32.85760434749301,33.970377649908606,32.92143496174454,29.498189868849863,25.21475434984862,21.893556358512793,18.685764912589576,15.295919958740377,14.640806470437017,16.15563793958685,17.736211404240162,21.992457636162165,21.632462081974843,27.774689262851414,28.013253471154215,30.548732851593655,30.83944814206789,33.10695655857612,32.32442080118886,33.348169604006095,31.72312102156809,34.29560365934517,31.868263821388204,28.5409060334409,28.488220137449602,28.615237319640116,26.580399535471365,28.343310007505057,24.85237099983328,26.34196620779368,22.88876169601544,21.476518319220727,17.178797197955845,16.52515887063245,12.559846659194251,17.520838871955647,16.901801168141912,20.85593416029326,21.887298131787915,24.56253752822766,25.29865343626145,26.74365926598669,30.896026205098988,28.344687618765004,32.6947582583069,33.650383468289725,31.164879097447493,28.958782067210628,25.281786561001837,22.670268368241207,18.17959753200165,17.726061427918676,13.719051467329567,14.915352455738288,15.216481627344157,17.31223247640405,17.89127591423292,14.657996051069874,12.25074846593512,10.154845473512184,12.383850631734768,12.589372218971272,13.165921064342626,18.187510866633687,20.800997877645255,23.22736596456005,26.773958360523316,29.791222590672398,31.951903887142954,35.72751313522842,35.67689529383224,34.67256559545478,31.605116490470138,27.139437016986065,27.96859213330081,24.12822044720653,21.50315634765688,21.916393543359494,22.621658670698178,25.40436163037898,22.355040382059435,21.240898726541882,23.37229844171273,20.436567075034855,18.907795937146393,17.989924437081218,19.655211795683563,17.08256636394544,20.74432526083358,18.42245568370185,23.256197220612147,22.539541164060626,20.20022824737649,21.133798671498113,18.480582965120057,21.74946525830299,20.042307282941437,23.52331198125969,23.436943232298294,23.1952171325961,23.87448308012619,27.297233126053758,30.135503753590474,29.351334871609353,33.061611724143084,35.35821683589907,34.71772870606417,30.651851321666012,30.70363454891149,27.08557106347562,28.813171989612357,28.609271711734863,27.82950445728252,28.281313726490545,24.824335239997325,30.208679834128837,30.68217021299376,32.513838116261866,32.34636260876452,30.256521431904257,35.40702928292695,38.00953204808568,35.11128294736075,35.588429221636844,32.91940407922358,38.01058176194232,37.68267122796651,39.502305346176506,40.761177652571895,39.38823704936986,39.84317507375399,38.4768577566378,39.33588057731648,40.662364638730494,36.583989465890475,38.287523998842246,37.088643228831415,34.517211983859774,38.56465915707395,36.167152090568216,32.542785931122566,35.53393606456178,37.954978646982674,33.633184371248824,32.39513027927556,36.790497077545204,37.39612334613099,32.43171622379085,34.61761286007901,37.437145574616316,33.921920078143245,32.28038494003949,36.980223451721564,36.90284298039616,41.6650712301852,42.232539226212474,41.457397724030564,44.365955691895266,48.65623304943016,52.71926350598866,53.45937011853003,52.395318950652545,50.54081479570757,51.93041613704635,48.29509582541479,52.306312412530026,52.64538820444943,46.363541142945444,47.64534167474331,51.75995796419444,48.599623346710956,45.38267218140439,47.59741191743704,49.274933400455325,45.58822774607161,42.72914911466836,40.49746235233714,40.30107739946621,43.57296411196721,43.328030316526664,43.704847758727965,46.14343609835033,42.12913902512611,39.936035518889,42.42879961104212,41.02610799526193,36.48213704573587,38.02636779593542,39.56795735017999,37.07040550765936,35.891905508779615,40.94288102834841,40.60303246840323,36.727510616053834,39.743042252612085,43.588907277538716,43.12405830915942,45.136280051411944,43.32131210204162,47.36388655786321,47.14390278927352,41.713745738027,44.427069562512195,47.12448736827462,44.499760072043514,42.20022560742007,48.12223097108641,48.12752134498923,42.9717717949664,44.18997487124569,49.474146830968095,48.54352571625124,44.662406164220045,40.39464401050612,44.80213030809207,41.404962552651355,42.324475062080865,36.84234088775958,35.660132697867894,31.378154497486978,31.997969972902116,32.64299586584065,35.582544100217945,34.59035164298083,35.63632374504851,30.354508387735052,31.759967740933536,26.82795574180836,28.005811919466996,28.224813905265695,30.708484111131924,26.675009806727918,25.260073258616455,28.80056637912835,27.551578345639715,22.31793108676471,24.40304815075597,28.667645191572614,29.27764297296008,29.920616837592892,30.66616738237578,32.10835407929367],[22.061855136985077,22.125146383460823,22.484060958516167,18.84085853160891,20.26871803697557,15.459630813664827,13.920397398582795,14.662968414298918,9.922391366326703,9.891884227732675,9.440582255394062,12.41962514411207,14.219960844290105,10.893696549183176,14.492438751636334,17.206632605413812,17.447843376135697,21.01845614399527,24.100757244429207,27.08719464387851,30.284057129124342,34.52171516081486,35.376510770047474,35.76105177214789,33.0741543593797,28.75347477556246,27.265716948137324,23.017932601332777,22.346112276789192,21.493706456649356,21.83798645150292,22.493149601062076,24.644883634521786,28.297435160767257,27.370120152574803,26.27754243042628,26.46935111081442,28.16231755265704,29.285879244419586,35.41705577149973,33.80424514922425,32.30845204496824,36.52656380407708,37.641328336494716,39.80023941655962,40.85063488126711,44.34829713897924,42.49462341105868,40.49582706244469,44.825642127076726,44.81489980830196,44.62662422826892,44.93676633031465,39.508536739664876,42.104337421314355,45.549095056755895,41.99835713724397,39.4764270075585,43.981123504993484,45.37427082543103,40.218244216972735,40.322597609100704,37.46214523056501,39.03837305100817,37.89282890713174,34.18366208554903,30.389445166405768,26.806361990946183,24.090656620290197,20.537801178193554,20.258494176415745,21.88322216254641,23.121948121369126,27.45575845386891,26.543294960207813,32.5872915112246,32.60872774984484,34.78184818868647,34.887166665956,37.09820398516805,35.671488965871696,36.49483776025678,34.12494540725565,36.61481712796277,34.4294019667069,31.29824564442791,32.02073628963712,31.694592944208146,30.541585574528398,31.99827313264784,28.962039470977533,30.656605168294526,26.941423957568613,24.87628365251094,20.416785992962698,19.56623213928919,15.470876092264911,19.438336857719626,17.814025611113422,20.363676732838275,22.817697199712875,24.291345786533004,26.22676904339851,26.645225115779432,31.185252040271365,28.026775591941504,31.94801762581393,32.827024165531796,29.76352101907138,27.65492977258304,23.619911089339833,22.134695458087467,17.438927168694963,18.189497816505668,15.449620435190301,17.223416936329066,18.698194387152515,20.96823388504757,22.72828708671595,19.357167849274862,16.932571356364882,14.06333680463905,15.24878564199257,14.152813658500664,13.072211044454534,18.233938871358927,19.197927724276536,22.535884968671972,25.892264512929575,29.454710743386087,31.259605743891402,35.0373870207175,35.69025631934803,34.8104340385099,31.94319161387744,27.629607409564404,27.859442446531755,24.761813597256765,22.669462769349277,23.796475612076794,25.345293769911823,28.792957945047004,26.046661462886647,24.307909504637557,26.587638937249796,23.508904226158126,21.479088926195818,19.795295379978995,20.417112748966773,16.902695567321842,19.546803451829987,16.578702569368645,21.27672116795311,19.548257357792036,18.33182549903848,20.12355212081466,18.27020162699094,21.264359952258417,20.876548836406474,23.807517078261725,24.646349711417603,25.46204005807899,26.23308708021844,29.877985649956216,32.415502885103244,31.508085137721462,34.72624062896205,37.10802181931968,35.81832855526957,31.840198423287728,31.745152870807257,28.449563842903938,30.445588122111005,30.252262295452116,29.588918468402973,29.53417217209961,26.51646925857047,31.638991152650327,32.60245323038055,33.91983857959488,34.071708442679636,31.044698795074996,36.32975602840241,39.143820934774126,36.471155357337096,37.78842582912939,35.6771891949248,40.84593858561185,40.57965065656882,41.87132653593041,42.81173477298215,41.05275964729155,41.00670324400298,39.182898908826395,39.57761711030596,40.40714031161104,36.039055051641746,37.25211689478303,35.43171625747501,32.73764346251336,36.244101825788555,33.64779216365017,30.09955726722299,32.763380206697406,34.82486333261494,30.275888627118984,29.074107684446293,33.20435874867368,33.49155087347751,28.320170117574996,30.42609650142212,32.996946051627944,29.271239947743968,27.60553746272006,32.28595809594172,32.574288552416796,37.10757094092957,38.31270162618863,37.60516760378989,40.27960102134954,44.8687614090369,48.64411351179828,49.745875247997965,48.82133032782226,47.3275199268708,48.97137838720108,45.62092739620113,49.8852193036459,49.95870747039352,43.772151674921254,45.47180651918933,49.64950083104664,46.33734992107369,43.392780557301684,46.04746087643192,47.49978743662174,43.61352319055819,41.44685707180765,38.53192290263083,38.75717617354304,41.78042470415057,40.958352048001814,41.505989185908184,43.552679227937986,39.86953932390068,37.603575750932436,39.435021532469506,38.08503639782573,33.598959215678384,34.71279299030433,35.88756121828026,33.23466000785344,31.93957779727008,36.87943591342327,36.27390342006332,32.151288990897434,35.24843912659695,39.12795190775466,38.904684828310465,41.227164916903035,39.82598167748393,43.97414598585329,43.34079500750192,38.07187893072072,41.24948810964596,43.735112683675204,40.96694999277829,39.19731074724836,45.18962941905394,44.885648407684215,39.88618877563796,41.63068776677836,46.75116234036717,45.58827701208703,41.785232762569436,37.362541819554856,41.82349567340384,38.28135174888371,38.6936664535159,33.252179696407325,32.04608231281572,27.491983354775254,28.418917937873292,29.513426925278807,32.78968479585155,32.1559692501298,32.991691753622106,27.97332782126377,29.831020452947826,25.068865627325334,25.113212800508112,25.483593467641807,27.497856271738804,23.499432700905945,21.944599074277903,24.812968497263757,23.350423370255573,18.49050459238308,20.057862649369604,23.996998987616323,24.302848918144868,24.899189460472403,25.73830911581729,27.18584676508782],[22.21432744859014,22.08544275128028,21.85154188607341,19.124218952914127,19.457601883051034,14.094552898457037,11.990407770341376,11.280203890759164,6.437242053244922,7.155815800293358,5.941219701452628,7.81731474279943,10.853418970135927,8.94997485939457,11.80646914245186,14.060997072690412,15.305190139343225,19.139351445740438,23.120660828790577,25.398741553145513,29.02177293168756,32.9709551266599,34.33166623865598,35.04432036517492,32.01019042670382,27.90341676317636,25.89305823412314,21.527171202655353,20.077448042456844,18.35997620572881,18.98400537071281,18.68130062928829,20.767136489876954,24.822929969703697,23.8975293960026,23.364930985931363,23.01543147094879,25.59234351211705,26.966515465051323,32.85731098333291,31.989479946012693,30.49663522449601,34.48006309032991,35.97606182166882,38.5514884306457,39.89104482818535,43.23622003942665,40.896501263035105,39.05351612162588,43.21372742303407,42.75942903444433,42.30330131600978,42.406207142920735,37.08199036786849,39.167602135194706,42.93645250251798,39.75503500945708,36.82559336879544,41.275964706876714,43.18184719568896,38.1818512341301,38.17137403168705,35.103293930559445,37.274216619260784,36.20692801506622,32.16490058342752,29.03306123037752,25.064405743901453,23.246300970627896,19.419131832029557,19.93998580843645,22.017804876090704,22.263751330444205,26.52481592203202,24.715583536626838,30.53400367941734,30.267250047045128,32.00302175167558,31.971091620403246,34.22824221672639,32.361790385940786,33.325310351969065,30.481047027699905,33.229264997639646,31.44851997775758,28.128474454310343,29.18271618017035,28.253387044130957,27.741929092818687,28.75167407239975,26.16962113966532,28.137157815311024,24.29265930000081,21.742776967835642,17.230195818293446,16.60349169885591,12.512800096680188,15.419014537253812,13.332468170508358,15.487876633072558,18.27113976132104,19.618157787433514,21.92910961725508,22.447366846552722,27.340459961467626,24.549128951259668,28.429904848282156,29.796213777199622,27.00026820158637,24.379177515035746,20.78210785572633,19.326943086523084,14.698884941102717,16.207852972621936,13.648239100030905,16.388439515163334,17.751746788285583,20.852153532671384,22.59350466347015,18.530193247110365,16.857381634087748,13.738431742579703,15.72871802515896,14.01261225389161,12.314166665869866,17.172509497257007,17.393729560606168,20.56603754654849,23.691811420666784,26.752476602864483,29.262950196505184,32.631869093659354,33.50421707719594,32.04010102134835,29.88384769310897,25.585616066726793,26.6361146597699,23.801408195892826,22.31075325006957,22.94173827812167,25.407478748166216,28.589272377412904,25.427092473867827,23.312819295647436,25.0680560423244,21.425811120646937,19.597732017226317,17.088713069637397,17.27150014846951,13.426208903161804,15.676292391734373,12.177544253371924,16.683736025518243,15.09453413493325,13.47709539030927,15.272518489072059,13.674991511600354,16.898017883625787,16.834859046421876,20.18777561190155,21.90050424479849,22.678426567410515,24.40992119817759,27.56747141674968,30.633160492061155,30.46829030340663,33.326223050207936,36.19243921455908,34.8605670942644,31.024482055305956,30.41081852618343,27.018276443158282,28.312242815629702,27.607696146957203,26.507464900872154,25.923665615060994,22.824238331240746,27.637117243787067,29.132136954624613,30.341885015213183,31.171215533092518,27.934763442613974,33.4686460807116,36.523443627655915,34.10918688161775,35.39283175246673,33.46417650276097,38.71667440730374,38.94724013744172,40.0495244744811,41.11125778778921,39.0706421592574,39.19184023459044,37.35835538806923,37.666466081033654,38.645344968104745,34.46368816610382,35.36780498342289,33.74372138998918,30.56321335083669,34.098113483502175,31.095270537342522,27.833928387293874,31.075225262414133,32.780130299856964,28.198680609506596,27.932859343682836,31.83202434797742,31.51739837679929,26.935176279443574,29.493294965397748,31.81107570969089,27.920296670200408,27.032635477516262,31.850705742780445,32.23337572423123,36.314957685208235,38.01161011315518,36.7527835842247,39.178489320062226,43.60127152797316,47.419298311554485,48.301040809260776,46.89109010817268,45.259287033453944,46.59769502298794,43.01733470664197,47.3705255605992,47.82077755421543,41.717549417081585,43.12393066415135,47.60176470143848,44.6406619806369,41.53982429789351,44.0735259395496,46.07769206898474,42.37508333648408,39.90429994950813,36.89297405032278,36.422778075124036,39.25853718454791,38.32429628574683,38.43075277174631,40.30437377724821,36.39266376011157,34.550652845391994,36.43096884957825,34.671396821584054,30.34694717084878,31.95731376125002,32.924938221832896,30.228308374200964,29.447109212764964,34.39760161641275,33.69239316492653,29.90406034230369,33.329500319281735,37.074323923398495,36.994091605881394,38.98501546772518,37.374980127754625,41.61870801915578,41.40386121862473,36.284752873220306,39.22100169387099,42.08366206276753,39.584334348362695,37.724409274004074,43.671631442494615,43.88071653284295,39.040231355553445,40.52284252258123,45.74683950881623,45.02570278630381,41.37893421992453,37.18583052864571,41.98415932675407,38.8142343956684,38.91172398181481,33.59986850641038,31.741103647185724,27.231515886145377,28.917059499774133,29.69450628845979,33.062132022401194,32.022227586631345,32.192922887946345,26.91371866243766,28.179589130917194,23.45268959427538,23.275706379673203,22.77617187479518,24.65816047560834,20.22126011315945,19.52801894538724,22.618083026756278,20.676687970808892,15.89941726706369,18.655515232201548,22.355117359530553,22.432499753666836,22.876779235310373,23.554839874541095,24.977308136715155],[25.451717243339896,25.884742490793318,26.33441839189115,23.47652791900285,24.439487417048483,18.96787057365771,17.185642408343515,16.380916180020325,11.634775261285984,11.800815329761477,9.481936818144879,10.98676558341464,14.506080403052655,11.860599243297235,13.398467379085544,16.297756282107645,18.05390867105057,21.045217262652237,24.784688450634356,27.496263581323884,30.745898462463565,34.94205483953008,36.07052047854388,37.04261124608148,34.39498636014694,30.166843024644155,28.714204815569342,24.47253352545433,22.808151513457265,21.265624511197696,20.19397111520199,20.860135646555484,22.00297104902102,25.80649060896929,25.726251478984427,25.43341534940759,25.827870296604157,28.517917295234955,30.281764110417786,36.31309640368412,35.29138628663182,33.166728551956034,37.11556513881243,38.846971486912246,41.17378125127048,42.73620026769577,45.98043597632267,43.758982744373355,42.343015650509,46.64468607663733,46.038136675993265,45.74954346095177,45.60960515636638,40.36023250810034,42.17231296964436,45.66987152017462,42.388753953064914,39.24983968144599,43.48779295624333,45.419061625656,40.18515338360649,39.59854534919634,36.309815771199176,38.158720228629925,37.6319508009104,33.810959565127035,30.10327689115986,26.1719219428441,23.96841924395256,19.808750643774946,20.130608726067738,21.298891849047703,21.779331205066743,26.46023575062701,25.040726413782625,30.592161767432998,31.23313577313942,32.73995725753492,33.393577566457175,36.143499623621594,34.75903064485759,36.306478551492674,33.72179677889238,36.881169489066046,35.19589858198671,31.50313331906461,31.94441324178151,30.77729814287706,29.665841408088667,30.003373670918293,26.975476251423327,28.07715114964831,24.172289422804372,21.802670771250362,17.789379292048107,16.061847163849784,12.561244767825581,16.579558973808574,15.396905176154029,17.63912543617388,20.928872918296786,23.193436244955453,25.49194069160418,26.739396385162614,31.817761064723676,29.426028083111028,33.33922103761735,34.89818100032436,32.18808516329454,29.439551994756936,25.970442920122604,24.452010438448774,19.853863203623554,21.10113709249315,17.9392763638486,20.38299494485536,21.068962748574705,23.98638586005121,24.675134190312747,20.667052138508904,19.01654225478877,16.51462020568876,19.015679444660186,18.06604153451253,17.030825691018805,22.0617491705463,22.614709440006315,25.756045668840958,28.91613141067454,31.870735582465322,34.47797845292168,37.83516598444505,38.62195609731336,37.05427345358639,34.9247637651023,30.56682574013843,31.67921240747338,28.60559141994355,26.77689341395756,27.278246654997556,29.121186496982922,32.02142768611213,28.697167817948795,27.038495667010295,28.717270478121403,25.021967271960794,23.568298200464202,21.311727408983728,21.90991585498673,18.26915865087194,20.518166174833315,16.60394863520988,20.526174863464327,17.965848286201304,16.07581904432349,18.56518087883272,17.424765206473374,21.145852736995213,20.79676943254678,24.818805717524718,26.50938114862166,26.665264088998864,28.59664262037894,31.5654932400971,34.91678252412936,34.78353510148218,37.91621836953779,40.69684093579999,39.5992432654307,35.68746840752715,35.20821530564636,31.692246528523334,32.88526458063525,32.07844642170622,30.73621585265276,30.12037984074375,26.603237646995723,31.308925479856825,33.00959338089133,34.49371949450007,35.533547350548524,32.64219968736019,38.2240623690148,41.268742895399264,38.80480215725065,39.6680638861498,37.411277331074054,42.653403443765605,42.91276364775375,44.33365283985662,45.57007973377795,43.687846196103955,44.015808612592714,42.3227450443947,42.74813049737662,43.81177402827694,39.64554718737414,40.60522288814059,38.9600959349605,35.7846262945473,39.2348279947357,36.14956193592224,32.95785806824661,36.11328729290951,37.68904032721313,33.029586921744325,32.74044438981665,36.5378657907268,36.028486398138625,31.356100777370777,33.801963841071306,35.94127237966315,31.868385555701618,30.89781140940811,35.63565123489097,36.29875266446122,40.28075281450429,42.305156693434796,41.23066590667819,43.5424272624891,48.15205904285032,51.770098342645724,52.89019581992275,51.548045218218,50.08661937731569,51.48239820230597,47.96714508504088,52.39980868803883,52.82908083438643,46.774828739386784,48.24807662809485,52.75219476678048,49.76802854829016,46.72207973519966,49.298399890073114,51.250364287325496,47.50327156974272,45.12037939682343,42.07469035538607,41.641120930674944,44.42648255356881,43.37084964919137,43.38516993547614,45.048673228535236,41.142404461197174,39.497246243884625,41.14455350709599,39.18804858474412,35.032632958742745,36.637403551876396,37.249334775021396,34.40668496694055,33.803537044877956,38.627538508020635,37.58844553841459,33.693279165014054,37.32931108676243,41.05182851249068,41.245009670394616,43.40182344650153,42.017863121339374,46.32601903617197,45.94305590703438,40.952597068344105,44.08722806555034,46.861518405763526,44.290787412199556,42.65864710365614,48.61877340678844,48.65335843441165,43.84863611201989,45.52881817559352,50.68591861593817,49.794845225463554,46.129457236937334,41.81783500042048,46.4914418105205,43.10620488303771,43.15195882080085,37.816557172541586,36.210731270715435,31.568714696060326,33.08102180684306,34.16808362829518,37.58697797806356,36.7898751450107,37.125020442915265,31.96078048933784,33.374308130728025,28.65875948738853,28.308852651506385,27.788009940784242,29.42393052629575,24.854634556765852,24.39177080760751,27.089814384121308,24.796877913643893,20.47367358524241,22.979578893835725,26.30248811193788,25.844562545276986,26.060787032756043,26.606815202380474,27.774808489174873],[24.472596175932704,25.188053329411588,26.195780483668067,23.035775460588724,24.816482922191042,19.425492834276252,18.20968789896273,18.096554077858688,13.361555966027813,13.804924353445003,12.152497765798433,14.099658085743302,17.23457694610587,14.137171708255721,16.32785349271791,19.324410767730104,20.545868186617906,23.585566757612426,26.889800083995716,29.92461128942831,33.00353656078193,37.32541821611941,38.206972816857345,38.952456150240025,36.444270878479436,32.10992755320805,30.842667691471974,26.625019754255838,25.39561554385208,24.187279990176215,23.273254248919432,24.15600246787997,25.42578751498433,29.134495611706107,28.97957041455823,28.44012100928804,28.915659321278497,31.22978478167267,32.79097261938379,38.91901082106498,37.561823025956336,35.57079776183783,39.65382263858642,41.14215682122059,43.28870655214264,44.63797780690687,47.99300263730487,46.02376030139163,44.42167056649756,48.78563458675403,48.45732844441263,48.261889893639946,48.28253385637576,42.956590416632764,45.063570956068304,48.47579408765857,45.032507876063555,42.11635346153122,46.415320768070195,48.10366628635019,42.82042129141151,42.35295418957484,39.18026014077665,40.761626687160586,40.15227439787699,36.476319887625245,32.483030293992314,28.74992645168756,26.09910718001155,22.124049405542518,22.002955333236052,22.914725557396352,23.979350456928632,28.67509944261971,27.717335546182216,33.37383561508279,34.113146182087526,35.82221330616174,36.48944373825919,39.172439019485154,37.89494304641567,39.28647450075718,36.805029866243004,39.77618017796985,37.90211525273982,34.377875480255234,34.819893147512396,33.930799178036445,32.654220488650424,33.23805595215937,30.0635064941627,31.07252798611196,27.23184235485937,25.050159122091475,21.052874695372456,19.282176081742953,15.795163104935947,20.031894472534425,18.799462065470042,20.884679562780367,24.265083008240243,26.221043964166267,28.59692556850848,29.49228087026014,34.46113562813996,31.699128687469752,35.5334850647332,36.79803171228065,33.79632693221279,31.354023708638444,27.5587244784736,26.29869777665848,21.61888721814541,22.754366706741347,19.787777645095225,21.835784281796112,22.812987699941637,25.29100574878681,26.220131861370305,22.60700519153731,20.514932967704244,18.026412491442063,19.89522669024828,19.052285317671398,18.018053037319955,23.157800292700667,23.70208527886147,27.126056304812675,30.353147151242613,33.70716881848659,35.840244816636904,39.41918933004086,40.2537877690759,39.04453720972734,36.565992954669504,32.238971063335995,32.76719996121042,29.732721571789867,27.707629081114774,28.620332506750277,30.122942940639867,33.297293992939245,30.28123198343535,28.707497192613182,30.71508034857059,27.315503045045958,25.63072250193012,23.660332484735324,24.250420020826706,20.551297413245802,22.77280161733429,18.990844131143575,23.038204140492862,20.184692139627362,18.89096351059258,21.532500182512045,20.403656547174602,23.88940126707052,23.695646320599007,27.316055303567158,28.738220334349162,29.173673241148453,30.57401693754364,33.873925383727325,36.849763074946594,36.26732536141866,39.489953605499124,42.01093540335691,40.79363130323945,36.83234551938814,36.60890203012863,33.22512131710847,34.869288552445376,34.35689042216746,33.29731480963367,32.86993491454203,29.519863806720167,34.35582210923787,35.85027882211823,37.2681471623473,37.98297481623791,34.98160760701442,40.45728759797861,43.41565479713144,40.85611336115951,41.938811242257856,39.706856810044926,44.918521424782845,44.8985510197246,46.308071405453674,47.40052743612323,45.59187764260836,45.707242834650266,43.91335790172599,44.277186739801294,45.13558856825551,40.80115120410504,41.81085315066128,39.904949068552284,36.9721404218018,40.259583733787004,37.350873514339014,34.029966664959026,36.7764047895329,38.443111914485,33.75244664491453,32.973749256822956,36.79913856173265,36.526508683281584,31.495216822376467,33.65605003225111,35.84112064670966,31.810677782651744,30.418125086424418,35.03425974421252,35.762969382647746,39.89979602210873,41.83800947964313,41.102487594560564,43.472981386510185,48.25255070906775,51.749965433054605,53.10175756415233,52.080669020420814,50.804800617770184,52.44316489505115,49.14072818138005,53.5878069349072,53.72942132961057,47.662312197844315,49.41115450201814,53.75628539680303,50.536310166877634,47.656090949567066,50.41105268392902,51.98778114179397,48.09203979204515,46.06471086972824,42.905051549208025,42.968314555380694,45.791863702318956,44.648231174718006,44.95694277850095,46.613165800051625,42.92664749728206,41.021832438208236,42.46117357377212,40.75172654985884,36.524393608839105,37.73305235982862,38.35362913154512,35.49380958368335,34.57623256883598,39.34928072218451,38.28422190027298,34.13558259468181,37.60816693829647,41.40513388670879,41.595382100079114,44.02704104471965,42.88415218599204,47.161742991912035,46.423263819148936,41.40929741855065,44.803728389804284,47.29957149918054,44.543031374810184,43.11714331279782,49.10575933427352,48.76157939925429,43.928132756980126,45.89473967039162,50.93273123141748,49.72649023504275,46.00718439699356,41.542906695712105,46.011135772206956,42.38837640629974,42.46835661403885,37.10949679404044,35.87800368659067,31.170357431747984,32.339295506626996,33.7236956926315,37.15474800056548,36.68860612686293,37.33201716178058,32.410068472830886,34.248270938959294,29.577415471361324,29.053448785689813,29.030133869761748,30.606659409700587,26.289010873206088,25.339331627397645,27.717936360915434,25.62116451677451,21.38789289471092,23.126699741090516,26.431373532587696,25.978983371881526,26.253842133773286,26.909729974446396,28.076361901215954],[20.14963507963215,21.07726418277448,22.389846595645402,19.890770974683864,21.993611669220215,16.09039777937117,15.68578065080421,15.430854526129737,11.282561524586962,13.382778894011444,12.517891944635855,13.687586539755774,17.41173030257206,15.317249532917169,18.002778578670753,20.469821233440758,21.800556412711636,25.471916015897595,29.189338057193826,31.775829117497416,35.229059307627836,39.320851192308915,40.49280921573371,41.12337162641025,38.258901952656615,34.043505942474624,32.24255444639503,27.896412538656776,26.617685067397822,24.91298808120586,25.077501189691322,24.843169500069074,26.424056004793425,30.600837697170444,30.094935094492445,29.794150269948478,29.472632225746725,32.17670355032113,33.51281670240874,39.39476043799501,38.43551601596808,36.983161816741095,41.015522954296614,42.43261255349763,44.88545041389243,46.09357262424611,49.51088860452374,47.336369634015405,45.38225874655471,49.56429889721272,49.26017377532004,48.81167831986251,48.972185707039664,43.63696606411809,45.723965733514326,49.515025930707765,46.31794894157148,43.37175687971002,47.78222819852375,49.69493023653308,44.6334066227087,44.46704948941566,41.30627602432422,43.32870608703429,42.45315464559697,38.51030617203179,35.06698545727307,31.16054149375742,28.970670164362758,25.034704281353225,25.215157269557388,26.65515421202069,27.37315147143214,31.9218863832188,30.450024377186267,36.135840379831116,36.35305388267341,37.913441537108575,38.18851161265248,40.63458534974214,38.78488958438762,39.849758530359836,36.83588118760529,39.601295376273214,37.898102328712945,34.643184497064134,35.75270237889291,34.659338851057264,34.15231002001398,34.786763222350494,32.101029232128994,33.591356598527135,29.657322599892417,27.0487385771624,22.852141196970056,21.470718188797203,17.812768760927025,20.894832248378215,18.827828989694414,19.808313743184097,23.846880779682778,24.668103477413823,27.765929712258384,27.778644109059663,32.83751266456555,29.68578890231992,33.12595247242326,34.31947051260448,31.01683856430677,28.674627852285813,24.79076035565838,24.34704533864824,19.788158218759598,21.711794952046624,19.73296728089418,22.128431617633694,23.827562957631685,26.488338836133657,28.33732515834201,24.586677256802126,22.526610334769533,19.511099728965007,20.821915003282868,19.14876442357886,17.13570859878539,21.960327537040143,21.287694716521138,25.126400847659404,28.079970856594958,31.651348252776703,33.57448597336849,37.03033831205111,38.350496622773,37.19505005337226,34.967874431864296,30.845966876695385,31.090663880597234,28.671731726257885,27.169443180805484,28.422015374203372,30.64569904382865,34.19556364908702,31.36134147994135,29.298548365128525,31.331475426378223,27.87977429196938,25.87211422039804,23.431280047495722,23.270201361654276,19.14409563199443,20.515635678202216,16.560424783194016,20.338782821967975,17.028889466208025,16.780187567548065,19.748544232720114,19.15567879332422,22.147627170654793,22.899616444266172,25.881611164480884,27.8932620720067,29.094168635309785,30.537882831575413,33.91770567387808,36.6462693187594,36.081723049409426,38.851745826403544,41.4861115613014,39.82472697131841,36.01215061223564,35.59631827211012,32.48216165080932,34.19921268430988,33.679510566129366,32.7408543432409,31.985840956569145,29.101040639559045,33.67615333943218,35.415623846530124,36.40380019095486,37.29884464844771,33.66445578488391,39.13518282506622,42.2122598800722,39.86925800835588,41.564355188317066,39.80484707514345,45.0283071251842,45.09325450737388,46.05630622220693,46.91159485183189,44.8024645052078,44.573894453342604,42.47887726302172,42.50555971551191,43.038508248306556,38.6069601129415,39.22428986210049,36.97915216754169,33.941964085595274,36.82831284895713,33.79019297228911,30.619024607101785,33.196126822624514,34.55225623147022,29.794932034349745,29.23495860018476,32.78048402699553,32.215892479057494,27.24253627171299,29.42620361818421,31.388382004304574,27.253968194619407,26.05014134691022,30.64901388187123,31.59101045601766,35.44754428961441,37.843801013546035,36.99891068822612,39.16029044529924,44.02752606331529,47.36832944498306,48.84946902553175,47.82356994548334,46.73441189637271,48.465982106143855,45.33226107423194,49.90263955996687,49.930550447140675,43.98445270099402,45.93076188644151,50.31818470536581,47.09164541018311,44.382058955641824,47.366879763679755,48.88720195349484,44.94381322007133,43.31811038934597,39.744302071289546,39.967546963015906,42.571110471601166,41.067338288808195,41.44902662561951,42.84825983202735,39.40455505643403,37.48186179140771,38.506725661207,36.850305292846905,32.70849886170421,33.662066493782795,34.064416812024724,31.155450625984454,30.203499620975922,34.8703514933335,33.687871457276394,29.474326264352236,32.985531794307846,36.759076717507504,37.07761190809606,39.60853014136297,38.67620230186312,42.98458688491584,42.08061709187453,37.22221299087065,40.81031420425314,43.22477455380181,40.46389966697256,39.34474894549333,45.30553375470001,44.898343453711846,40.241674527715325,42.44042031289806,47.35537063945084,46.13699921071363,42.541560492316194,38.102234403174364,42.6618765407377,39.120573552903124,38.79814337752451,33.565092026523416,32.12707442676936,27.34751645185493,28.9279241554794,30.453887004492987,34.06167741966044,33.69813900239257,34.016975351486856,29.302244462019615,31.26573555059827,26.842002646313183,25.54895234882227,25.500699655446923,26.71826388371152,22.518760398714825,21.57964741655967,23.47518796108501,21.24007860675249,17.407705652499637,18.912163263321457,21.872975817127745,21.236622071117917,21.491682463329646,22.227980929396644,23.458014168797387],[22.24211563848914,23.782710853371725,25.679036764954752,23.76388088891157,26.12966068027922,19.954129926609838,19.893939805107525,19.044565767760705,15.251050303416255,17.5948522356333,16.155460669208114,16.4918975597546,21.02637226950419,19.210872814387546,21.042804093917773,23.543856108880384,25.526784754642648,28.898752299623,32.81243837487597,35.34199610071537,38.763595020643514,42.858399982049995,44.105470859529596,44.98284326795017,42.18768160489308,37.9904549090251,36.258311654067704,31.923997529428416,30.25962351951426,28.23553090633424,27.676049090406938,27.37978437719737,28.27952123507269,32.53534110541665,32.58582000497353,32.776421314089845,32.51114030012495,35.74017605331693,37.352470284238656,43.157987062159464,42.47718792368052,40.75931052266678,44.66504484881627,46.35282137987112,48.855242269862856,50.264491132839346,53.583915276693006,51.27675773362866,49.56146175523926,53.727279721111906,53.17678775372884,52.66782939279293,52.62456086258337,47.38488002081407,49.06588887429586,52.905163820672406,49.861083958245764,46.60188503345682,50.85128331219324,53.05271931529567,47.95558095159802,47.39806821202545,44.005602859644405,46.12231718152999,45.619967837854695,41.66430625181988,38.20586719087906,34.18047018202375,32.146471661130626,27.964972362820674,28.305240638513517,29.32528062662019,29.836601402038543,34.563897478564016,32.96216492127008,38.27757774225821,38.94666060191515,40.07596135404744,40.71527456065672,43.47107421234937,41.622116351391284,43.06521541428828,39.86261117912344,42.951073990338664,41.54568768056981,38.0606209012315,39.083305366489924,37.507363257280225,37.080329434526746,37.01439725488831,34.37124507028715,35.398955642341264,31.404392784679803,28.644503844285534,24.890360779342657,22.918269534125887,19.864305823090064,22.73733214554886,20.87645134973081,21.104652803167696,25.97724454208573,26.904612772105267,30.468311856323073,30.67507061983256,36.02237433481596,33.15570209346342,36.38586633806064,37.86743503080744,34.595650554405715,32.043792690830934,28.418090952411728,28.300408287929308,23.86899307891997,26.111879050953895,24.10859538185036,26.691743131784868,28.158537225210154,30.973884526901273,32.40902192703662,28.4871488157245,26.637752884133572,23.791488819318825,25.44719294919291,23.85691621469068,21.82331498858387,26.570390107272285,25.47769345562686,29.368864957026307,32.138924153000744,35.54581876488106,37.66186507303078,40.901950572001184,42.45970180546266,41.06274024790241,39.206919364142166,35.14201229681272,35.55507356347809,33.29036534760095,31.9071243891757,33.06137969406745,35.350757117329486,38.779060718788685,35.78415901535256,33.76198430072077,35.610097088594244,31.937473736759173,30.12797844534461,27.447220649912737,27.156373357228983,22.929925666569012,23.80645037306598,19.355262354361734,22.298169156659863,17.952357489006953,17.980334133015777,21.658681573093208,21.83237513033667,25.004427959211426,26.07586923821044,29.403239084617518,31.92781916940497,32.9701870660331,34.865668207426545,37.99607781098098,40.997708687532366,40.674057597063474,43.364084882598355,46.11840218878321,44.43009638315556,40.663445744638615,40.12261747624397,37.00036926023575,38.46646093361749,37.707256476978564,36.49573126271133,35.39077797780562,32.37720484344753,36.60409761757695,38.81059228360059,39.775805312607446,41.153393621608075,37.43780302645037,43.01626794527967,46.216575365777466,44.019615511558335,45.65005823741194,43.898247913611925,49.145152066462884,49.418757568981505,50.38008975890868,51.302583682489356,49.09632227623703,48.92356044211194,46.79596486574477,46.726871656078835,47.208521243474074,42.809090164757535,43.17491775894525,40.80395753695165,37.58617893825449,40.155685156482356,36.86436944657852,33.97781517678619,36.53513278443587,37.45176096222932,32.64659334511715,32.508808703742275,35.65038608587662,34.51814613251471,29.805805189530698,31.97975750367306,33.47844215661684,29.137206193860845,28.271391223954502,32.6713295351552,34.06121916564374,37.39653582361406,40.55499669073281,39.6775816422535,41.471995658207156,46.47910459559496,49.47557547003256,51.21871353230992,50.11827166471269,49.29642049346975,51.03594298497082,48.02645756339651,52.75258101698563,52.80766447427592,47.05540221227281,49.081418890634886,53.5893579178558,50.46346648246673,47.87774291985842,50.98482084057249,52.580795966149395,48.644590868546175,47.24763888187548,43.40236412185239,43.53021238012697,45.88463494103059,44.02320546096286,44.20971866447576,45.166773898377215,41.833383848781786,40.25744886608805,40.79728889298039,38.84925294300351,35.04688584622507,35.99554087763952,35.80634681778295,32.74722976614626,32.16727165582577,36.53798000456731,34.89151392554435,30.727867946446096,34.5336899884658,38.14596774583147,38.89901115597412,41.52738442812211,40.916360248029605,45.29412191731409,44.25042670996331,39.74194283369849,43.53199239954864,45.899160481952904,43.17835628177659,42.46390146722471,48.34788545485453,47.885614272262146,43.47071699111303,45.90051758646395,50.66627084677076,49.410862801248285,45.95213228600107,41.52887995828428,46.06066027631245,42.50105304131443,41.79464171710373,36.74274245025244,35.2694051500826,30.443123727665903,32.2750084280862,34.05118243496136,37.769049422353774,37.577685129027614,37.670563274727456,33.15500609643431,35.103474038071575,30.86966498336899,29.00207471465313,28.630613671336377,29.34700023398188,25.042768515844006,24.65960174866854,25.928395844760704,23.165732522137628,20.226300723804755,21.72837962779359,23.866850443631684,22.451440991723345,22.365550704728186,22.90087410257162,23.776241404141572],[21.373752214641634,23.417037860500606,25.767295249164903,24.99291871889419,27.480880502866462,21.0666042984142,21.75227503430463,20.35526546902619,17.601330379541167,20.905205687751142,19.697272725472736,19.041134952737004,24.126854101665412,23.209179248084215,24.809051646800093,26.870920059066563,29.258547996651277,32.821746107737184,37.119823938977554,39.23110192936023,42.89417966532276,46.767799560430426,48.30346229929963,49.26556241688629,46.2407027683546,42.18853286324404,40.1015297778855,35.73898326679055,33.803164597359874,31.25674318081326,31.07588746845231,29.910140419173523,30.610807775006695,35.16342871647631,35.26915653951043,35.946009181808265,35.10781238671935,38.920489659999845,40.52794674719767,46.00409273934478,45.85511677621818,44.38494610181482,48.11930322870822,49.93405383099845,52.70961032758778,54.15628600464086,57.4282482781798,54.854706117501976,53.05349054545404,57.02755339200652,56.30240108309324,55.542238423348316,55.459521111734624,50.33359443434379,51.68660276660481,55.83583967461877,53.13060393769096,49.65670210939598,53.84792023830615,56.421790986557674,51.52333164883668,50.95982100117546,47.45869755288579,49.98850413665565,49.50915802186755,45.35675995211174,42.3714549535004,38.17346391027596,36.6230517696557,32.37317908775255,33.03535778253197,34.23196301628587,34.33742669907195,39.001986769856856,36.92557959147981,41.98368960119505,42.48222999643381,43.21269100781763,43.74295996154909,46.466983477749004,44.176695426710445,45.59143182331451,41.88346415374427,44.984647528642995,43.95256176250809,40.57111530697247,42.04033606743601,40.00738658712992,40.25186124173666,39.79204477604615,37.617170934389115,38.75214646476588,34.722633143316855,31.607589202758664,28.061531731984296,26.1480994204713,23.41177112413402,25.19121293210406,22.93090729940372,21.77780539880451,27.45047322698477,27.495960291101813,31.819464000002036,31.467077145455352,36.9400812416291,34.0854771814518,36.764630138977516,38.40346019793349,35.04018290876858,32.444507510601504,29.119928272138832,29.840610600617435,25.794100230286173,28.7281906436041,27.437511602735803,30.332570450250966,32.081655894375366,35.12068641102237,36.90564330990907,32.793672420903775,31.14851881639597,28.101472172526023,29.638634520617256,27.591964425505225,24.99410786096841,29.276504099340475,27.068396491880293,31.10522377470744,33.43607322924125,36.73878006207505,38.85429184088148,41.7341799693219,43.81433742975752,42.2575110355052,40.95106717116608,37.16377282350926,37.56434443309813,35.90656066135281,35.040981173163196,36.285933193102004,39.14851122246674,42.69007734306011,39.71442956880711,37.38297288366347,39.06513970364857,35.24941123704143,33.39384747195838,30.273603297136113,29.36541717448506,24.96028077550396,24.804979064417154,20.162050152038237,22.006731859504352,16.795987952835713,17.976929830014512,22.133028619367398,23.259463441000992,25.99273913602498,27.954554154831555,30.9243228403948,34.194287830484214,35.6505140777697,37.8878937698311,40.82192192722991,43.81609194675928,43.7351206862235,45.97834867888208,48.910751314393224,46.904696854635695,43.34405393813688,42.53679994647286,39.64502150514284,40.90681125260092,39.9580015570707,38.65001456911812,37.059848586431194,34.388801517304785,38.05943875651263,40.745382639821386,41.34045637867244,43.19864191641445,39.01554532779001,44.571866988338606,47.9155686736656,46.036737731048056,48.051022404712754,46.6924644000265,51.90851403364445,52.421732911120614,53.02674724129784,53.820305054602905,51.322086513359785,50.95309681089703,48.608658998869046,48.21668010043016,48.432324937491586,44.07835553991234,43.93238293693083,41.29037921593232,37.87377045813046,39.84755159332979,36.290323463489486,33.85217082769359,36.27223139737811,36.54069253321151,31.774614129790173,32.276601511480315,34.76872490341175,32.89323111614376,28.68047994614839,30.873531058100863,31.739340270137046,27.24820445964738,26.99765135170787,31.111746863816418,32.9947268455116,35.53386487329509,39.66248951517587,38.585479937466516,39.85656235155603,44.92576979555842,47.507721077327794,49.4885192885207,48.255534732297605,47.77027777416947,49.519717169826556,46.744958003602385,51.63362380907112,51.673520770867995,46.251711891415525,48.41801548811767,53.02967172255122,50.06512319831666,47.71399655900417,51.02238918649726,52.69002045939965,48.805081402449396,47.84762779308661,43.54828852567318,43.632757045523036,45.570182513888874,43.1794360977593,43.2185326945966,43.594351270804715,40.577312983506204,39.33212026628925,39.15819164471125,37.01552752010056,33.662398703308305,34.435250497586324,33.56805644248259,30.415802492840548,30.203342526699313,34.1350241519773,32.02917300118294,28.010377472332006,32.054744268554764,35.41837342162406,36.6359627595962,39.31749575825015,39.107253192573474,43.50294815545659,42.30348194943827,38.29487947866083,42.28162651431369,44.57116944856925,41.96857630775452,41.79201554921472,47.49340104096691,47.03745771676605,43.03330231453687,45.72033413754371,50.233258886294294,49.038262465727925,45.849817141368014,41.576594753247946,46.14362257630879,42.76494137876758,41.438349148529106,36.74251730427403,34.99820543009818,30.23982808271489,32.644194878016265,34.58485834041004,38.43037880743085,38.36495364084512,37.946932273822235,33.80711684313699,35.69886595335667,31.917543773544903,29.10519894988796,28.382062011744036,28.371461678766348,24.239857390037105,24.421477350976087,24.752869509935632,21.513764411731444,19.889925469950814,21.24734037451177,22.24896635781953,20.027532864035702,19.614313905113807,20.008622366636217,20.569537186453427],[21.68959231214357,24.09711867336002,27.096387285968905,25.840590592924936,29.163015130041288,23.048744591198684,24.053654408605148,23.430121371435543,20.354319992331,23.349283144731594,22.330447932701674,22.426058663424183,27.0747571248822,25.44512952085977,27.475534133312216,29.86646125947911,31.80728251183529,35.319262203741836,39.19910206683181,41.73452282042615,45.18522617641376,49.26921348374859,50.504721233727075,51.280981974394855,48.45897647117166,44.252128350727155,42.44961093266716,38.094809469858134,36.538132344816,34.410588096292386,34.07188040983874,33.46459000788798,34.27655443314618,38.660323134491904,38.76035099178974,39.09818544127386,38.57796740133817,41.936367702606155,43.426250669854134,49.12661145034642,48.52393572042469,47.03307674287153,50.94846473578307,52.54985621823676,55.08529426342759,56.35855273902359,59.74092085215615,57.464242301518,55.55179756305943,59.656495081989405,59.21121903996256,58.61717473401755,58.66658647653729,53.42526819753441,55.11239475111273,59.09338262914708,56.12928316941837,52.871484337496945,57.1346107948248,59.40688794650034,54.36326760426584,53.844705386504444,50.429887631214946,52.600056328296596,52.09536227888798,48.1146000197765,44.68711225111606,40.66699553199438,38.58994880567814,34.43213976337953,34.6795953823814,35.571988061222186,36.2290251685084,40.98726351706907,39.42435303096407,44.65873984604914,45.37841383368497,46.38106819803639,47.025908279144545,49.768971499143696,47.735344970149924,49.08788973429484,45.63043855381641,48.61534716893772,47.30809909146023,43.98666440224559,45.27185883078822,43.58138778663229,43.41878014492564,43.224126917562934,40.71622024717054,41.67344338179948,37.66783236607393,34.80996216922645,31.18904890792271,29.121896320090094,26.244464401412007,28.771195555024732,26.707372791855654,26.094603754516005,31.493289863950174,31.715454292876146,35.802982987949015,35.41337703852802,40.750404433579064,37.594417549499966,40.3529873307013,41.66861299343749,38.0733057917548,35.80317386237531,32.12844526797225,32.81973742700975,28.61077354206713,31.197466525652036,29.77714784339343,32.27343982538089,34.10810476838459,36.74791531322668,38.544292885696706,34.76054307644217,32.74318312905911,29.79939341404749,30.96485809095293,29.177919945033665,26.801993009728427,31.266839212736897,29.3973823191806,33.60162796984063,36.0958748290345,39.77425534413015,41.4292118179714,44.59987699777385,46.584261030264415,45.41158933254072,43.6349893014138,39.80865015082553,39.67457456716864,37.89877717920047,36.71524399722107,38.27411886571932,40.653314785417095,44.37393903428983,41.63539700942747,39.48737578332393,41.48201694285987,37.918709594419134,35.916431395186265,33.16129746472576,32.493550736556145,28.124297470607225,28.338846396218255,23.931813382213573,26.22973161455684,21.227433896642157,22.38354185094861,26.391583401734362,27.130716126257198,29.88194074128078,31.58876582248674,34.42347756981355,37.22086565665186,38.72851393209661,40.451904860463905,43.7174704245597,46.422781293080746,45.881478253038786,48.3391556112029,50.97616631462755,48.94995227852716,45.29852752355034,44.80661144930814,41.971610334890755,43.6810597601763,43.034276094382946,41.975604473333846,40.69548349118186,38.00285633900423,41.98120614122636,44.359950995118574,45.03861467812182,46.485748651377,42.36402354158034,47.834168418413505,51.05823786280735,49.000504398791705,51.08184254775636,49.60477747233044,54.81982026865427,55.021221813368015,55.731784128667364,56.437520612075595,54.091431548135134,53.582072513279385,51.20447870812825,50.83668977522188,50.90954883055654,46.395000441373575,46.41701316816499,43.57340901840099,40.48927928858021,42.38701776231516,39.11655870052959,36.47715987500029,38.43198541816438,38.91174550793692,34.175312739452636,33.97891076577818,36.55567363881283,35.10812081732365,30.450710160454605,32.21638709633947,33.18528375705358,28.85769066092135,27.95891454426267,31.828139200603992,33.75238138755463,36.52635855242126,40.417387516377545,39.834916286969715,41.21800583287669,46.45794079586158,48.891287832956316,51.14434887664307,50.35531739652258,50.067541885683255,52.09724886849032,49.56141608348738,54.40406496846127,54.108024276488656,48.66174279796552,51.106236216226726,55.48809073597542,52.24127314498187,50.0589820183271,53.51101640567095,54.72964032432105,50.68777707878761,50.05987957954293,45.75167396608282,46.38851589382584,48.438095462574815,46.06995475723655,46.46008501913725,46.929413437109766,44.12133210753976,42.54521058864072,42.27254054084156,40.46874223868351,37.00229233361159,37.346546652176094,36.6100552494791,33.512028500298086,32.86272202832772,36.711333713571435,34.6597949933731,30.373986890439355,34.085005764272644,37.51352193435949,38.66843603837072,41.669577591016576,41.71526390165508,46.02014201492391,44.40311630309884,40.353780456680646,44.591061758020594,46.5215817183784,43.69346660259909,43.70800786470976,49.41750558310672,48.48638389342628,44.43286389600402,47.41540716401823,51.78179736310132,50.188164158609354,46.92474366461859,42.478036999332666,46.72838835263045,43.045668542627006,41.83158012532852,37.131971574037784,35.94096902487998,31.168271127505914,33.019625630325756,35.304404962906844,39.09712325292263,39.42725041729918,39.46065801024596,35.59389474632291,37.93735260201193,34.149996908008156,31.40298143271176,31.300856903495877,31.38399335997275,27.585353634439056,27.109958157421428,27.249028098135316,24.43604612170573,22.706201596033836,23.14762166064057,24.231801492230527,22.179702968583147,21.906250904607724,22.46030076085414,23.0119091216676],[23.66380102061727,26.363151999927968,29.57282064535647,28.98296746345036,32.25161723122947,26.044481748223788,27.269906792318697,26.219457232644622,23.578431306083253,26.86426388652697,25.709107351370616,25.236041330628435,30.271038844132946,29.05782145346408,30.70122124922078,32.92453050838838,35.24734620315276,38.71336474019211,42.83224323258227,45.159983040662055,48.70007142245587,52.68465252376197,54.08130246329169,55.00728010281215,52.11125528601438,47.97559355193077,46.05001346998026,41.68823367710675,39.86274727326361,37.42142943387573,36.958831339303195,36.006206194050066,36.48092597874717,40.95935962074058,41.2932619338355,42.007525543650786,41.295612639096255,45.075570343617464,46.68116195705623,52.209460659694685,51.94573733480407,50.43340430209573,54.218113419538135,55.99471071161358,58.66960980798741,60.058413623272706,63.371249408556125,60.91524528324443,59.085586384339834,63.10463731250973,62.46183524947808,61.74141247336292,61.67665199553343,56.53341100466305,57.90070914736592,62.018810525222044,59.26807525262924,55.78938658464379,59.94867377281525,62.49954020281043,57.532163490865585,56.84694063831688,53.29922156635756,55.68386896741775,55.342481324891516,51.27745657731515,48.058402795500044,43.923920327846524,42.12884172630437,37.8587082991369,38.31660253522184,39.1581141039156,39.53463608511964,44.30783721063663,42.484852041123226,47.44638633720912,48.25900872274119,48.91954361494979,49.65988076430656,52.50511886799486,50.30326521542935,51.80153256799746,48.08760363936295,51.20756633831411,50.179299615823254,46.8040347128357,48.215631552428086,46.1541658055969,46.28789734842364,45.65910581360045,43.37509589267158,44.1995293815812,40.18895767630306,37.159662975336005,33.8190896655195,31.608072754460427,29.089356843307307,31.102253515478974,29.01295563350519,27.686053888904773,33.53633376469571,33.50339832615055,37.970583216167434,37.49019164897077,42.93908822055747,39.96455918369787,42.42254173118059,43.931907179717854,40.38220293433599,38.003870358018624,34.615119489537264,35.66891285051165,31.670967472159656,34.58264028135112,33.3592002016858,36.06395832669081,37.88454597090245,40.70793502033388,42.458801068486686,38.50589322881735,36.67232613464851,33.70525353443965,35.02000828610161,33.095040468572186,30.537721844863828,34.82292747853933,32.47173149374451,36.673576614170976,38.92764740504627,42.43323480532,44.210155436438626,47.1176772272809,49.373336757720566,48.0092583097389,46.626855295060444,42.930096652994145,42.930700369763244,41.41592248782122,40.47438861233773,41.974161238934286,44.61850688720534,48.304798915217255,45.47370555366754,43.220367201432964,45.05386886595706,41.33259386852322,39.41072444180566,36.40158354934538,35.48832580084674,31.06611187914395,30.7813282393883,26.22078073784733,27.77961240286589,22.325262971950682,23.877404093893926,28.14761947215181,29.458219111431177,32.09493668476371,34.18032464151452,37.02587661267791,40.27528452440617,41.833850585425985,43.89341219287271,46.95630168994669,49.800684737794576,49.49092509638205,51.746579068151455,54.524833923847815,52.39100443914555,48.84117621814891,48.17496252525988,45.403939238570494,46.89046879084926,46.05358655919952,44.831244162186536,43.231930246365195,40.616811884077265,44.21768428598477,46.95866379937584,47.49467220750377,49.33431847710216,45.04128432289862,50.53113232835069,53.85572361308635,51.99031154411564,54.15808856625776,52.828817479397046,58.037791078671,58.4438987024722,59.02113720849375,59.72193687864019,57.22273267156626,56.68846762559668,54.2350042608234,53.71735462553817,53.69491226649108,49.25004753584561,48.97413565334638,46.02963343714534,42.79399180275236,44.33713781135516,40.87672795180964,38.573322046894475,40.494065212087065,40.52057689978052,35.86131539182276,36.14651933427528,38.25830950444508,36.26521938107993,32.06810991328799,33.82909610734925,34.304753272797015,29.935770125599543,29.515158370981226,33.07900752722633,35.35744611666503,37.48287940132194,42.07345479847144,41.36295343466059,42.333488893742484,47.57516461561467,49.65281747017764,52.084240817658625,51.179931005544944,51.14319027661783,53.135953917942714,50.75735896425869,55.69246721784976,55.434831987025376,50.25910384060383,52.743527504845275,57.20546468483325,54.11789368922775,52.07943601907708,55.619753908948745,56.936318848083424,52.96066990863909,52.55955217976483,48.007508670028386,48.52301572297319,50.284310696987056,47.58366121803748,47.794630201175174,47.82587803517483,45.20928071460972,43.96230136273433,43.211253375118,41.201320242802986,38.13472146698083,38.43942109947222,37.17006027887838,34.037247050516335,33.75352811083616,37.196676438895075,34.772048852128925,30.713227610641237,34.57766830470851,37.73456683111856,39.27980950653315,42.272716776779816,42.6140079089607,46.901773931158,45.20963195248471,41.59159006681163,45.91406199352478,47.79854322527761,45.09221968619075,45.47933261851066,51.019724452289765,50.11882588970473,46.38362911335215,49.50370733157311,53.68284808361266,52.14853858899463,49.088342017395256,44.77113451916218,49.00739772423805,45.457333408381295,43.840696425170364,39.428515103308115,38.084179607936925,33.41469236028963,35.59765151038541,37.96365993496178,41.80022057365889,42.19485197237246,41.90341393866964,38.26092585839657,40.49590583450237,36.96966812751228,33.736555005449915,33.321508935257874,32.94279557690548,29.235993557456318,29.241591095057245,28.83107833091479,25.703509656745517,24.839270710255352,25.321285661881777,25.61626769814412,22.99656712612846,22.448638883539772,22.836584071209177,23.044106231857015],[24.815032367590078,27.87765056243676,31.663395488786346,31.082299533336695,34.96498928148935,29.0544377312412,30.687763429156433,30.072678294673427,27.493145625732893,30.777899142823394,29.84238413166896,29.672571274351817,34.498614910350675,33.01670039475331,34.9495923895966,37.28496136712436,39.354049324810305,42.85693544617592,46.758582242883655,49.28572193142978,52.73739829949105,56.81557271138004,58.06083736368786,58.847206280756716,56.03455017841312,51.825872934023444,50.006755838648274,45.647160687733596,44.05519857054656,41.79377659092044,41.37984698959873,40.589867406781885,41.145557402228356,45.58379875563973,45.88396631204877,46.45128415550016,45.80060932799366,49.37455059916939,50.86619227506634,56.467009679518014,55.99606155462393,54.57042151776414,58.45193547867555,60.077491273605524,62.645188698299044,63.88884405527058,67.28238885799013,64.98924599249395,63.020198199656164,67.07881506854152,66.62751651348894,65.95762518047512,66.00398027207888,60.79963963438579,62.358266473743704,66.44280530859433,63.5845774210293,60.23253059426908,64.4435813643036,66.85350686790206,61.838341690980684,61.217600402346044,57.72006627506598,59.94403114474947,59.562515578253354,55.570775404089275,52.15560985525245,48.115152319753655,46.0532121006031,41.85375348462817,42.082789806334546,42.77357125158294,43.46329000011945,48.27141123548995,46.70943532286911,51.75513237612456,52.65323250457062,53.43487314229743,54.20169276200672,57.028805678043746,54.884436428986135,56.294269767671864,52.6263726343641,55.6298502896124,54.485018723174335,51.210925443325856,52.629671906402955,50.72653690389925,50.75069566006913,50.259362591973435,47.85924607058896,48.617244296125435,44.61821002810476,41.68823221509359,38.312116076635846,36.054210944146895,33.468371452820485,35.73253830758357,33.65200388662519,32.396879324320594,38.20278770791798,38.03157113698366,42.50842295326894,41.80997603857168,47.15518309341404,43.935978052139454,46.273976311433216,47.545126831899935,43.79701856266648,41.698776574996884,38.146907428822836,39.41732682291515,35.43728521135347,38.2601773579756,37.16124205218188,39.638828782526275,41.61541877283101,44.18271382747326,46.07346209751956,42.33429596995742,40.2743981151019,37.32772137338174,38.30432784174022,36.447476988452664,33.912344223229816,38.153296705831224,35.757273161064695,40.08741934069865,42.315950983656435,46.073090052522524,47.45045135153314,50.46407837651817,52.800670790701574,51.72075529742891,50.126790788296745,46.50969583568024,46.064329368262776,44.663999039002405,43.64289944349301,45.41694878499544,47.850583202068286,51.711067996461196,49.09571583236191,46.8898614594388,48.92204127263682,45.373071566959275,43.31555305666549,40.47082405199402,39.561851684030486,35.1369839513154,34.85545673228167,30.470253662317543,32.09695542105834,26.68163841486679,28.48316899525385,32.7085309172513,33.944638059900214,36.45124847352572,38.58264715127733,41.18774686980399,44.26403351007643,46.001572568652925,47.73561788975906,51.00659006705572,53.59064203557834,52.9757131562757,55.247284193392645,57.82560999766234,55.57122278339673,52.034612364710235,51.54518074272037,48.912851209287496,50.70052957141558,50.06073686517054,49.026525538833596,47.540894494238756,45.03143380383195,48.717183465629546,51.33483849062662,51.814541096554436,53.44742461414494,49.06060869357715,54.448666012869836,57.70751101555318,55.80209989525619,58.160573863921385,56.872865788328745,62.06091492088985,62.279239940815216,62.81494004182599,63.38845029455636,60.92389045617747,60.19772913517199,57.64824271418545,57.040124213012824,56.80049669632237,52.26001810822805,51.953750924293736,48.76710859713102,45.78076005715712,47.03984473408976,43.77803909468758,41.481273483825966,42.93301404817756,42.91687938658783,38.37488872707005,38.27921294243681,40.191910993913126,38.34761196779189,34.040321911870976,35.38847595194063,35.70265788883572,31.55340831460819,30.806685170936063,33.915512777485226,36.367413269390454,38.33354864105274,43.0025521294761,42.67899175087337,43.52924313968854,48.87150186692332,50.61627890686512,53.36960404209033,52.840152513210256,53.11460277417541,55.34950549388799,53.29767921477179,58.20711172829906,57.638155101950694,52.60917500637976,55.372465553360065,59.629606040110644,56.37029131349994,54.58618302389772,58.300150587198814,59.2310027744094,55.16621675377695,55.21969072881614,50.537321180919584,51.51572781551939,53.2172132759233,50.375743646769834,50.84748728408535,50.76313328717185,48.467679742381904,47.04966987346102,45.97653968204834,44.23018099886794,41.25106870991584,41.11816349847942,39.75627794007793,36.70147815492045,36.16299424044192,39.304228401069196,36.81600736971355,32.674194752406,36.2180615355796,39.266463086019286,40.90023595550225,44.15506292961718,44.87153038643273,49.02567208295105,46.913449303352735,43.501192588089154,48.05952658020179,49.56517494574839,46.73458872812922,47.48954199681212,52.903558900396135,51.581147716234454,48.00698052576618,51.4502761094746,55.356792343130195,53.49883484190961,50.51256794860113,46.15740231848907,50.06136722300031,46.35858564974495,44.62183198254881,40.43353500280663,39.50485754360554,34.95959234027954,36.82159109983365,39.49387639940653,43.26011975186032,44.037717766271015,43.95501972051102,40.73070265152534,43.29254735266612,39.95306252049404,36.52338371979267,36.5122353448373,35.99300881645114,32.68046943375516,32.32846352210104,31.486564803632657,28.652428296348504,28.103955706567227,27.82647432647273,27.806718247230098,25.166375063922892,24.65313229885302,25.11310764943105,25.193734768316908],[25.863799770955378,28.941806249204767,32.59507528481173,32.59927481764664,36.142516096852084,30.08974366073382,31.758546654144833,30.66751214647741,28.476843075443846,32.0289985788772,30.992288703893376,30.28115756832342,35.419644768617616,34.42333724282293,36.02742853226873,38.13551701304155,40.555768198806724,44.06905104585367,48.26658750083233,50.50204859147128,54.096167439532124,58.025934096108344,59.48846565987284,60.424558085540454,57.47719148859702,53.373159180021055,51.357028828773764,46.98906908916543,45.115573110531436,42.52388832419363,42.14542845716591,40.92922053196685,41.26780320819715,45.81004651452958,46.22510126169002,47.13188457505572,46.226719066952725,50.20355723703052,51.78806409143827,57.17920360816614,57.09471990432794,55.6922776551902,59.42267627789153,61.22424443203118,63.97671025746839,65.34679446549659,68.65755808607041,66.13674931486808,64.24484012769503,68.1881101576751,67.51147819758373,66.69373176961763,66.62915213228469,61.53733493103647,62.77564094687537,67.01692054803331,64.40317498912488,60.845529916354096,64.9646658213419,67.662556141877,62.76558918851801,62.04983381307207,58.45073294223349,60.95469317586753,60.660270191811996,56.5456388882836,53.44269163245256,49.26971860641767,47.57670724149848,43.28423902167872,43.78786044288093,44.59076878240186,44.91391437021939,49.69026601578418,47.77325978291318,52.59783602942296,53.43569100448155,53.91280279557392,54.66802042764833,57.524599598434264,55.1653040970158,56.6588008277181,52.73808296392554,55.83787253535927,54.97180755924434,51.671793057351664,53.257865905894526,51.015209193297586,51.39462417459874,50.5648755261009,48.4472250561787,49.21849040807948,45.21778254110919,42.09637409319131,38.91006829272567,36.65891213913425,34.315833446227636,35.99921204330716,33.831341286261804,31.968606407505554,38.06708872943064,37.627755526423755,42.39514436648518,41.61285669343484,47.03102164196459,44.026746640425415,46.112468679052014,47.605293311105925,43.97745182661439,41.721699676092534,38.49060651663137,40.012958180228644,36.24342356761313,39.37871919045309,38.470184294400205,41.207032956966756,43.16862689485582,45.990329050119456,47.88965029031244,43.92844370785976,42.100230471380954,39.081098203397126,40.25628530664076,38.204143193782514,35.46697891237696,39.529029547915904,36.71117029571411,40.973480272534715,42.9792205137445,46.48676345389002,48.08677926736337,50.81264709016624,53.363371701808695,52.03319310402767,50.86852957939184,47.36759728611503,47.189656979182644,46.008272742398866,45.26233941263175,46.89619670987263,49.68678145255591,53.47590741578469,50.72444811559067,48.37282537384703,50.19825775657517,46.47459845432133,44.50663136062728,41.38608996451345,40.232378727710284,35.78413517394527,35.0631301637089,30.577629600508505,31.579903384479696,25.930606553187147,28.002686159164487,32.34980674503074,34.04439136502555,36.41756083042947,38.872549325718715,41.473278175845586,44.98029815673069,46.75465273882749,48.85972783058301,51.888955912396234,54.64336295314822,54.336732237761574,56.38880837521186,59.16555042925318,56.84075386122442,53.40842370752935,52.69012479334081,50.08817561082467,51.57988817801728,50.71974902743095,49.51069243190935,47.72037105884721,45.30505855656881,48.620904774194116,51.55859268299448,51.89749098319166,53.91476729177249,49.392720041588305,54.79623966166698,58.1530591644001,56.446749130269765,58.855001231035224,57.72559366342511,62.90438951425323,63.36195064696277,63.755304818461575,64.34641780411499,61.72022510025557,61.019324762712856,58.42930690525356,57.70607644717256,57.44776739825658,53.023019612767875,52.45270362208434,49.27809897099133,46.083500075773834,47.121931503616715,43.64806766603432,41.66056890261858,43.24419339153219,42.846076020180156,38.373109827781946,38.84912088367212,40.41379250920594,38.05261411151548,34.24742662732082,35.746910855294495,35.689941893342265,31.478991124783484,31.30395952770211,34.29838915657802,36.95306627984959,38.38091682772212,43.599877595367154,42.98556539566086,43.50818687623057,48.76163560908732,50.31988986580754,53.07409469153035,52.28684741011513,52.659144158969674,54.75519745589338,52.73345561081592,57.70679749030072,57.29058499282951,52.47458953961866,55.153944389921335,59.53788784436063,56.503915043519285,54.760004301647754,58.471138560736314,59.63528289568299,55.6855159199629,55.768945683215485,50.936062539113095,51.631108041194786,53.087798679636144,50.020622657367525,50.24695926763102,49.82730665938261,47.61184947501332,46.53673841809754,45.16877756977923,43.18112830090096,40.539415301590104,40.51690737618011,38.750785873837266,35.681681004676854,35.54656903318339,38.4078190536289,35.656215504750165,31.807017626619917,35.54690637571451,38.359583924897045,40.280338691236885,43.3902994118657,44.21595580163507,48.369159555250555,46.37220758117317,43.28905740859249,47.79078599104428,49.39574972548501,46.74751847933821,47.67819146940494,52.95626392730159,51.84956971030036,48.519113337821906,51.92825586523107,55.757634719149564,54.107431561980434,51.29295028295745,47.10235333689608,51.12424662852054,47.645826180587946,45.60248535731586,41.610483555203366,40.35261035637653,35.89211815513895,38.186564252893895,40.76252604369247,44.575024355931994,45.23125388269392,44.757885372433755,41.586049617815235,43.90585134412635,40.754398094547916,36.99889394987153,36.57932882262573,35.723557138136485,32.41243509292936,32.57004780327541,31.437208205030082,28.297436790289954,28.352687502912577,28.38822467827042,27.832414489268608,24.79925927187543,24.062543030046882,24.36939889311597,24.251470222527626],[23.740514047167466,26.91325116200662,30.6614648993134,31.258356413124485,34.78636044762551,28.89850119442616,30.954770438965063,29.84411579743161,28.23196769468054,32.16554536716339,31.47503734020966,30.560594137227106,35.63716728321552,35.02570907890372,36.84551837906278,38.703622197797834,41.05061702397447,44.80698309769606,49.12940333462006,51.14307873638142,54.898844442181804,58.68771580002266,60.28765665607078,61.13143095199087,58.005725710055394,53.99205293995568,51.72599971319907,47.35410497706817,45.52198027358747,42.786098962699604,42.985359381788236,41.29544264925612,41.868802334938714,46.56054287769061,46.70690881900307,47.647698020997794,46.36049441190369,50.40651163472608,51.82708159276501,57.01612156736523,57.12314851624863,56.042085279075145,59.72513562761977,61.44369435380012,64.3379074104361,65.60392064035415,68.934786397513,66.32639869633883,64.23462478275621,68.03702507538426,67.40053706463571,66.45086826254564,66.48999799501541,61.434586588930344,62.69493380823998,67.10885683718219,64.63617027388935,61.13183621105672,65.3050115250162,68.0719487354065,63.332063888166545,62.84403389953681,59.307771135734775,62.021912109286504,61.523461723403415,57.28982450918025,54.48162995859878,50.259477135737974,48.762846647930004,44.53204486392554,45.141083990662295,46.250636255896644,46.45533526377759,51.143138678200536,49.00671548760352,53.90889389117375,54.39386919605307,54.87264589768577,55.35107834205041,58.00877774309267,55.362999538842736,56.60978267437066,52.472970405148935,55.371352012693514,54.588116432194084,51.51349736287963,53.43761621903823,51.17932759834556,51.9397106060495,51.256355665241244,49.39269002179195,50.48729470564984,46.47038278662743,43.202380170671105,39.87879475489167,37.92199980500121,35.42594777097908,36.652952621583374,34.16231180745245,31.883319125455728,38.01069896001341,36.941334852506984,41.922614020621836,40.63753643740607,45.90892415826527,42.76023778268623,44.50815070169957,45.90051958640233,42.20217404851485,40.1102741082059,36.99600005015996,38.96466771995391,35.47605301965057,38.8563300403902,38.44117780929538,41.236052886955164,43.468801271784514,46.31984858166605,48.63442937102069,44.65844552941242,42.85235655979814,39.65987077702971,40.58961923329763,38.253445211356315,35.223135198557365,38.92860857570186,35.58145274125282,39.85644674298264,41.59780652271289,45.10069592528015,46.514868823073606,49.06994862347439,51.86642067711438,50.60699754322129,49.627334969963144,46.35157791571148,46.02059594113383,45.228453478484234,44.78505284455564,46.53549466993128,49.63271828188169,53.54430173259135,50.922990121267674,48.369257762449244,50.17959815216549,46.51446466320211,44.427667037171005,41.18618176502671,39.708844996245716,35.26290482782659,34.10115683886106,29.836958466616124,30.50420139883493,24.938849622179468,27.58781533620987,31.820736478671662,33.71219958721708,35.67229929957307,38.523197671983986,40.657859946918805,44.349427849658525,46.48149807553633,48.535887687961015,51.55482166725753,54.11040822178333,53.816338777005676,55.576038119641474,58.369707303172724,55.833633448659235,52.561421616166264,51.74521861542071,49.35838542415566,50.85623134016226,50.02136942446854,48.922999121489255,47.01439033582616,44.9325311412283,48.04377954748015,51.018605250078885,51.10208708248106,53.149746661881984,48.36986810438099,53.63095358969556,56.98521161875669,55.43862375229843,58.16275196595887,57.31908140942839,62.428788941048666,62.91537467680872,63.047855720145016,63.48794932039219,60.72577678668946,59.83158599725278,57.10801145921,56.190746054872804,55.732130538637605,51.35442411307552,50.53369025975418,47.21601812993918,44.04839227585146,44.733424393956454,41.27113213019747,39.50789916990944,40.883458970232624,40.20784247351099,35.87559712887392,36.55477299573406,37.75533152004378,35.159723372568365,31.650828013873348,33.06676157875928,32.70584710375967,28.58057689271304,28.67796970046813,31.417952986100595,34.242434909550944,35.25440459484542,40.826373473178144,40.12734029119106,40.40256339890023,45.614271078077564,46.979590587016645,49.8129790503538,49.02565180234525,49.56299474955608,51.695829183808854,49.859940876981206,54.834776027707825,54.33793448897809,49.7259037767051,52.50029030989499,56.831330988403884,53.858049443674055,52.282638186235275,56.07987526748451,57.18781369256529,53.29237705012484,53.657710208449615,48.64875286051874,49.434677865733015,50.684419689837405,47.40849650514991,47.684178531322544,47.051682295688636,45.10483113248177,44.05830812765231,42.354095884186584,40.46261467096538,38.026799132132865,37.76491243431908,35.79207506904136,32.78730227269246,32.672984576811494,35.24408159788419,32.391915940510465,28.64279236843214,32.301798726434455,34.96225090397164,37.02056947150797,40.154444573594496,41.18954373746473,45.262406212089864,43.15114755895948,40.331759773737964,44.88562128206283,46.37621891993264,43.79707254556919,44.98823733297212,50.10141653197247,48.9753714301102,45.88745124212046,49.392377263842036,53.03618728739978,51.42227456575854,48.777985639255625,44.7306118124096,48.721307156167654,45.41222522546954,43.07704014343675,39.34514693401504,37.9574860536421,33.66069840926669,36.20241515195343,38.78356136497419,42.5801650384642,43.2877150325606,42.56843962319749,39.697718130716446,42.001181547643895,39.177237664738115,35.02965778689928,34.60055845352934,33.43106384563423,30.476383750656243,30.69287609324158,29.07086913611023,25.987295790530933,26.692641069806236,26.43661535296971,25.318003507965862,22.083033881429113,21.28473724306459,21.6140014940831,21.407021431565887],[20.80997263035645,23.98590006136191,27.873227873256997,27.97140429757356,31.825438801399866,26.041184479204553,28.157169219744258,27.530005578193414,25.651307265239172,29.464833597306612,28.999170010578183,28.577642444308957,33.32460103847335,32.3524923424479,34.599658801797425,36.605564914325626,38.56620164941809,42.413145687094755,46.49354276435478,48.721682196952635,52.398377492752864,56.29222189542703,57.722890749527835,58.38516597590148,55.32647376129171,51.234226501359316,49.07360639569674,44.69928367709477,43.16425294498282,40.71915337710699,41.09716379628432,39.6890705301187,40.59655742096819,45.24154801125184,45.15613939748544,45.737997186073635,44.59111627349673,48.23495547411097,49.507744538533125,54.86750366893954,54.629103231578824,53.62506460177685,57.45504079476574,58.96805761825246,61.72421066603914,62.83386102344469,66.25704255492649,63.84771740355303,61.61401812843062,65.50139870258221,65.10556514804782,64.27165712703082,64.45834187879137,59.285966976307336,60.899197413902264,65.2030760354534,62.51132191084225,59.23975353079725,63.537453102462386,66.02116965078396,61.203271241113214,60.90199311748209,57.49440041851832,59.99700858784363,59.3242966683785,55.16789551364343,52.146217221038086,48.035514441876494,46.241868760451034,42.124740773694825,42.50882696044292,43.65274031168081,44.16297555722627,48.8454269968084,46.977781004017764,52.15666882923354,52.55796462013789,53.371657113919376,53.75404950641555,56.30876725324595,53.7966893543481,54.871653858466345,50.94244626355767,53.68191095107226,52.61436415757592,49.625808347449954,51.47994611610436,49.584708986555476,50.08987017824887,49.83461128433724,47.75493479862658,48.97513757490938,44.94520544799981,41.81735135999745,38.21637042134281,36.373014086317994,33.5401117678149,35.21951958461559,32.694561654699626,30.9669791654612,36.78726745478401,35.839285635017895,40.55961999549956,39.23510965741665,44.41117769710924,40.97644994070865,42.95508983734683,44.09308388043969,40.24168161936501,38.332480553691575,34.87036220961272,36.659927792224345,32.991948522421325,36.13133562530262,35.66205201737866,38.23206046055934,40.57227292326094,43.198734116088765,45.65416794436774,41.87765011464269,39.8525044390639,36.65728330368318,37.320158981155906,35.064637184740754,32.124331084691704,35.93213594354996,32.87359852622021,37.24369568359367,39.17772129076435,42.95516712552161,44.11996191957441,46.96150602181301,49.5731219335973,48.58119486633888,47.18066029373912,43.81499115264323,43.19497917820951,42.254833932114124,41.6147233675563,43.52972846113145,46.381717030000004,50.40287214449908,47.94088291904751,45.46102101992685,47.475517924773875,43.995403727672645,41.77459592976615,38.76880942631196,37.452041690271415,33.009055906855565,32.21059389564476,28.086039980157416,29.408847355284202,24.112129115724382,26.604644051922225,30.684364615447542,32.110390490941384,34.11725938808089,36.72611232882789,38.74886079716236,42.03563477479142,44.231909313580175,45.89444787211659,49.16704423360308,51.50543846802469,50.90822299476777,52.82653970252451,55.44028219174757,52.92963544897851,49.57471301792986,48.95701591415858,46.57248795207797,48.37316592359146,47.769795026082896,46.88227050790855,45.27195783115434,43.16978106102056,46.649097098606966,49.28041809944394,49.455203698559835,51.09480413498733,46.38959924630979,51.6203025044475,54.87788681930157,53.148909879633294,55.89539756329667,54.95571571607868,60.07174199878044,60.32168306131926,60.53626266307294,60.92985485546405,58.297650109751395,57.34129103898558,54.6317580121753,53.80313089930433,53.34321428334937,48.84315155161056,48.26476634224487,44.92118940175503,41.94907632036762,42.86354139669317,39.609504245095636,37.51277132443196,38.76752899227924,38.49637091864425,34.06012195740002,34.16647847652765,35.75213405112403,33.699038236087056,29.61594084985044,30.92471687680745,30.99345347351212,26.871671735897838,26.378760605365304,29.348261998347343,31.949139306398465,33.588583282242574,38.5857441998441,38.12641950676144,38.783279614502796,44.10183649623525,45.74812560565152,48.525908370431566,47.973178267406475,48.35663672890433,50.6270322630308,48.72311775507507,53.6399318731391,52.997499290532204,48.12526597216022,50.98042483687063,55.19850541472108,51.99123279687911,50.3519496013935,54.15583448840002,55.0498988589686,51.03198029273934,51.34943306787007,46.47478673157255,47.5437380852837,49.05365342911887,46.0173761731245,46.56116957187003,46.31847849197711,44.27000542942671,42.827039665682236,41.46678337873814,39.85009246370263,37.00397139017425,36.62408073430835,35.13368326248782,32.13143223819829,31.544608760728416,34.49455648472904,31.96888615653155,27.84387649161419,31.325791661687745,34.3066119150523,36.00967740608302,39.29103281743294,40.15652990274115,44.25709305800066,42.05894766823207,38.82282894852962,43.43363087506028,44.86255704130705,42.08754601922388,43.05141715784715,48.34390212797149,47.03680735541003,43.65857986281613,47.1796302582676,50.946178806768756,49.15576888903435,46.31783508843279,42.09379892712165,46.03750301378826,42.52166937671918,40.48726768880684,36.50154727314974,35.36704173213651,30.938264607815086,33.132414285658335,35.78895675780347,39.5760067940778,40.36560029435443,39.99275896318732,37.04154452086264,39.58638032634795,36.58333206921416,32.71195156575583,32.70411691554847,31.88484255137896,28.932712417182632,28.58602964140449,27.255103067029427,24.484108179495706,24.562702011164873,23.95191113281732,23.39665518346479,20.594470153201563,20.067829942445822,20.617888735401984,20.702099364567406],[18.847932152844525,21.620670038080586,24.956161717479784,24.890439221989972,28.25738367679999,22.19685597412408,23.993157447430637,23.129826704145923,21.177305518906987,25.027882885301224,24.525000625900987,23.99305061131897,28.772081402571935,27.97031948409946,30.1643719384443,32.07780867063488,34.09482584987913,37.97399048584708,42.1629739703484,44.26332250384006,48.00357880718077,51.83219390860031,53.3480202291833,54.058170174402164,50.93267973567287,46.889588131390745,44.645602571506274,40.27108757064637,38.64693072289641,36.13580422565464,36.6315224187226,35.11898558614131,36.12635271237604,40.79469223832435,40.60746183642733,41.182371243225916,39.9843981176082,43.66367788391122,44.96187286792316,50.300544247028945,50.13815862870361,49.11861056285161,52.909435923473914,54.47183207133417,57.28607208606398,58.46008373103841,61.8464114301584,59.35514700680861,57.177403049006855,61.04887927282052,60.57315961462865,59.726152492731465,59.87456238136994,54.7161805759418,56.2932917515053,60.601271963320904,57.93633561644017,54.646366393665986,58.94725455562903,61.454581008130106,56.671267544670506,56.406804634329134,53.01718164882269,55.59827278188472,54.8757951427668,50.677890352787095,47.78986598345216,43.641885876310326,42.00058362161324,37.888771533528484,38.39973730958917,39.72752342326196,40.06431294318861,44.681517245976785,42.66669341892604,47.87247023860877,48.119127284233905,48.95369747291139,49.24028239156601,51.74430992629294,49.20185392972423,50.26045778398079,46.345798141256694,49.10504490837217,48.04416578900114,45.02233276270798,46.88228749091598,44.985415566856155,45.53675074415022,45.34658037398401,43.32569470609569,44.69446518536223,40.6645466085399,37.498715362621326,33.81352101822335,32.124233298406544,29.204235804265526,30.74656125392809,28.14598875404572,26.509379318809465,32.23411626709365,31.360266349204785,36.00070577721433,34.79248320770699,40.0205114997193,36.68199775400915,38.839674961125105,40.10253079932658,36.36640628164282,34.26310050420152,30.818027231191717,32.38183380793702,28.645315549550187,31.816672072970217,31.2748214825876,33.978781591043315,36.25237844818454,39.030630674456305,41.45802142404479,37.57045594165287,35.67101049308497,32.43687267557034,33.272692261828425,30.948100826879134,27.97734735792113,31.83335795386739,28.86113486070032,33.162470154365785,35.17899249660404,38.83125093273863,40.274759055190685,43.11820391353451,45.60556332821861,44.447050344913634,43.09869527286226,39.632673657442034,39.31526279648353,38.239977059332375,37.627480454680935,39.36058923337457,42.34947648676906,46.26257460658069,43.675307054021644,41.15756518337491,43.06610279121971,39.504511362088635,37.34081805542165,34.25610223093488,32.95220869482137,28.501048137347063,27.77868087188829,23.56211578517577,25.048925270903382,19.828771699984184,22.149157562878415,26.181078833705733,27.51545163728668,29.59728322342009,32.12994472359664,34.2698854668911,37.589302667062476,39.68977962284591,41.498285212735794,44.67686628632794,47.155089632509494,46.73060839214811,48.67013075847992,51.40842465972438,49.00309592242009,45.61275210771579,44.89370116054575,42.39368457838008,44.02977438978725,43.33352563882805,42.36315439787669,40.74856732233366,38.57934120190344,42.104026978288964,44.72051480068013,44.955708080735704,46.63314519936915,42.012200542815286,47.32446584048171,50.61269049329334,48.86233288432075,51.46907272832956,50.4796820948645,55.61104237076559,55.94842872636927,56.213100820726545,56.696368060489874,54.070864019203036,53.25690695105116,50.6309121757349,49.90764723512547,49.642679606690926,45.18231960557337,44.70811220332699,41.57635348931431,38.42703328094321,39.69121104108111,36.31110342476483,34.086885532425434,35.757785482713174,35.66862937771251,31.068908524258795,31.356655187726755,33.27933239438682,31.266630950022464,27.08495343183515,28.784870571341955,29.17586487120961,24.82912513571544,24.470739628923756,27.997181557981285,30.325952650726723,32.350358567648605,37.04646647421148,36.280280692608585,37.19387039153302,42.44169284787588,44.51747409876041,46.95428141157887,46.1121516102041,46.135373033218286,48.22017510626039,45.97449428785709,50.90111169400398,50.50580389467577,45.395578757829334,48.01443455334673,52.3933710381964,49.26664969910348,47.359328684042005,51.00488020957243,52.193346641899,48.21627619520351,48.08408250066712,43.371185199944705,44.09947309028388,45.75793506944365,42.93291723415616,43.32689143382807,43.333685978287306,40.943549544101266,39.51422748874746,38.58094754829148,36.81073266444633,33.72280047357443,33.71915152927112,32.493380698031835,29.408253508743474,28.898639002731546,32.29629644222673,29.954466320514012,25.774773331666236,29.522136839708487,32.72693627440084,34.20937971232068,37.278847880238125,37.710962242829495,41.95622896722655,40.142284495917195,36.55151708192599,40.95170459543053,42.73365266929539,40.013171707821726,40.53146674273667,46.0142460542473,45.05902122715905,41.420628764389775,44.62943382201594,48.706903756350144,47.173420393793414,44.196090103852605,39.95079635312566,44.205658929142274,40.775329270759315,38.96912933829317,34.677210823302936,33.20935538811412,28.607880314006408,31.011174270967693,33.38144270145482,37.234669354276676,37.67234899992319,37.20919953855358,33.81697896987957,36.13333107704342,32.8887315508962,29.27572634627238,29.026695107922603,28.457872571784815,25.121926295284297,24.915270205623738,24.096011553760842,21.130376110230813,20.688153067297893,20.695542317324005,20.66599754367297,18.03725275930305,17.593723476841934,18.161610181240892,18.525407282061934],[16.66793197801023,19.33683150614878,22.78745606700513,21.988012204718302,25.78984665676408,19.956802535231198,21.80474672956269,21.666798698846076,19.354479416883812,22.95262579638816,22.779526091734034,22.964223243065955,27.195824846967867,25.891702482497895,28.646356729307968,30.73908932428561,32.22101364553442,36.183071000419005,40.02780326794458,42.39974094070055,46.017315742567234,49.966200329544456,51.26083551944426,51.74357374893982,48.716115399429434,44.58328593199657,42.489116856581205,38.130808510696816,36.90643455357182,34.79760072701708,35.501569426464584,34.37602794949787,35.77305795402202,40.3205017650794,39.86421566805315,39.98997513834735,38.98643167540568,42.130254539987725,43.23562926699583,48.76202140403034,48.16669567532932,47.243580087415005,51.20349682585177,52.50567907255115,55.13667232629863,56.113234162107965,59.606777406856736,57.370101510152445,55.02623382407419,58.99196112558709,58.81131576689662,58.10927822580474,58.43549487283303,53.15563378042117,55.15164410794858,59.3083828975095,56.38945629883597,53.392863471088006,57.8209305280693,59.98087997899903,55.11812915438125,55.07242342614693,51.852228322274954,54.15819620739227,53.235031154938724,49.15384459441036,46.004488995246334,42.0220605154285,40.00471500558876,36.06511502700831,36.273547331504844,37.62442518047171,38.36001255585455,42.94604420433273,41.289604750240905,46.793099856751,46.95211339371953,48.18162926133446,48.3623767106405,50.733761534955484,48.37408340733744,49.22272633233297,45.5879558536651,48.13571436289496,46.73570929437049,43.83911813405215,45.59516647776723,44.15561157847495,44.38328733519036,44.70676603382485,42.43553610377039,43.929018302582996,39.922548730864946,36.970621782706246,33.00052207848429,31.46823286920249,28.173660965537934,30.28308644148403,27.703194621624885,26.807062274275246,32.02104472898982,31.317935638299048,35.55902277992517,34.31811595855991,39.35815026025896,35.70049000661153,38.10876513776316,39.039321561378344,35.14909492393161,33.31297027181619,29.469621466459028,30.778603781533146,26.843864023269735,29.64620949493939,29.027592331658607,31.401077037928918,33.808547877541905,36.270391191905254,38.87308916168869,35.269690187445,33.081124732875296,29.85967485520188,30.32075581007204,28.122482776112765,25.298684086649903,29.284232628395596,26.744917343290698,31.13550279239431,33.38854978713114,37.36272405836195,38.46554369335379,41.646016631796805,43.89195207275625,43.08112140666104,41.212686285151655,37.65761626572702,36.958811220178795,35.69019132214336,34.810870412903334,36.762650269902686,39.41141090391681,43.46227656694069,41.09192463637056,38.68193201727489,40.85324993451886,37.55193170956665,35.22530909992794,32.48136033057583,31.40765262327508,27.019194674500806,26.801948998897018,22.878148487399145,25.17500071094943,20.50451831645946,22.519372377674255,26.22216300603812,26.926093844244228,29.02419759026357,31.198864924240887,33.16451613866622,35.923478062416244,38.089969647297664,39.37717345474461,42.86804447161668,45.057115170307384,44.24009925684455,46.37906924695255,48.8772181044629,46.508389085050275,43.022068178147805,42.56480070723186,40.07860636829789,42.10199664271997,41.705507493418565,41.00944096685665,39.782215162443606,37.60999563596678,41.54977922183513,43.72457962169729,44.06739233777122,45.23094507034774,40.73339761424887,45.96523612369879,49.114279485705254,47.14871258592353,49.77605700536204,48.672971290987846,53.7936432566391,53.83271506508536,54.19689850201975,54.61645993864569,52.15897435501981,51.26723366761679,48.666103229809714,48.04981553911123,47.77487009120785,43.18593184436913,43.01163296644608,39.86169524497383,36.9952977271366,38.51203353253545,35.43716864606561,32.83629934971632,34.312893010573646,34.71624891568562,30.075220336072732,29.618633713012184,31.986730686385705,30.675008610945792,25.880563200091746,27.390970780256918,28.2936855687145,24.08441665218456,22.97680258797173,26.6853494511483,28.689779249825307,31.42041645239258,35.357441303851786,34.91075964223739,36.25102723689809,41.55555313389846,43.89596050131902,46.27313454904139,45.72472547073192,45.60308542747904,47.838894465932945,45.56545107078474,50.37875658711297,49.800115633371604,44.449950008316755,47.156828560142586,51.35752042117734,47.97237157606061,46.02165750667742,49.65892274111314,50.56339124189326,46.463529106876315,46.29997982882422,41.77829531573746,42.86534854791913,44.8118707255939,42.28618727585933,43.00324528049834,43.44333117496009,40.99232140062767,39.1166497830683,38.56707607943566,37.15405012583863,33.662483787992436,33.49193987966245,32.8345344050699,29.83411809687985,28.776953641963456,32.50171607159431,30.570428586407775,26.09485087736066,29.503017723246703,32.97620703502438,34.04211671491236,37.24122552240558,37.50640127091639,41.71024608074883,39.79096710359669,35.7942324378776,40.21424517936022,41.87702091548974,38.955515600140245,39.22293543092542,44.85066813877461,43.66888073624811,39.73347863330466,42.949056968922214,47.122184598651685,45.3738204915937,42.192058973858785,37.76436423410867,41.908537699937966,38.24656197669419,36.82425610560592,32.27687813239774,31.163185032922282,26.462466857173347,28.360298629769343,30.809681289314913,34.61397469094532,35.16507212310156,35.15547365585179,31.706753382719853,34.32089229749054,30.88198407564233,27.679713781103832,28.00109109054107,27.882920555244255,24.65587486147431,23.69516606394667,23.277321282737184,20.845240676610445,19.561249767678174,19.063646499139193,19.822026457359907,17.894472632716155,17.81745244351963,18.638824578816372,19.36128508585335],[16.28577733949979,18.274269712260566,20.960023322442126,19.57924823299876,22.869324312469455,16.837785535997746,18.128949043269873,18.00016044077194,15.25159648129023,18.65997118046257,18.48027817937469,18.902021521709642,22.948097975746172,21.542808828628285,24.403487897194495,26.516897461085907,27.888068153655908,31.85988735713073,35.68761408881442,38.06003534981459,41.673121713733586,45.62436292591323,46.912244361523236,47.39978816940167,44.37072578164104,40.23765057295189,38.15662683619386,33.796568193714435,32.593834574240525,30.584412377583238,31.351546715495672,30.359464437939522,31.936527998608128,36.413803957068986,35.8244156639639,35.78886330111238,34.884956526439396,37.87487153614857,38.988527769736464,44.593832638721594,43.908921813236574,42.92144726400739,46.90379080399578,48.20270370590468,50.81217580625054,51.82536641476866,55.308016814104356,53.074921988208885,50.788874360161486,54.79695599590127,54.60350076247465,53.95633852146067,54.26991423079645,48.96376308624645,51.032033956922724,55.11194885333282,52.12102144308975,49.17747403900048,53.630400959060076,55.70432701742748,50.81814195605205,50.823232217347694,47.65726078948341,49.920088479366996,48.92994144219111,44.86349838537205,41.70857009873787,37.74878807925923,35.73245312774864,31.839094856226833,32.06430542959127,33.55931670220531,34.25890021961301,38.78280153316749,37.1288519190463,42.72992182173669,42.77715262508589,44.14471743294749,44.2540523104493,46.573689446482405,44.3030166417614,45.12896701174241,41.64981262544624,44.19989823179734,42.688736975079436,39.743183596451225,41.392342651233456,40.09706357270369,40.18625094141807,40.70326535746488,38.36536479027881,39.980454421575025,35.998103344792625,33.12029441694918,29.009070481871824,27.64707443126542,24.165988033719533,26.430085238873488,23.87339138666767,23.480617574514884,28.325500896567835,27.924684387493205,31.85241093906015,30.85983257966332,35.89635318489069,32.30329932185918,35.03800320343461,36.01907507634355,32.26149930308214,30.277553912657737,26.34622011738003,27.179484776223752,23.04149643964854,25.666609665593526,24.7929505240381,27.195886766268668,29.503755112954885,32.032836631749674,34.563658494503365,30.92379916044421,28.770728039652685,25.540403338544618,26.143549900986876,23.979952992067826,21.25549427319221,25.450576656944104,23.33914273525057,27.63739453153992,30.11156184500101,34.018484561317074,35.3575036226357,38.65189392083285,40.628534718482776,39.72898095265316,37.73159993481748,34.00287173579646,33.564306472547564,31.98621049428916,30.974952474240727,32.75699533948827,35.3737028292249,39.32098151844864,36.843490430797324,34.472539800685496,36.615060004014076,33.28980313378986,31.002396022647424,28.317171641342398,27.429102984394166,23.07151775482682,23.261969788044574,19.338651580040086,22.18426484574394,17.94764697021479,19.409886799637576,22.871313968895073,23.16618520017837,25.443659867352846,27.281620358468032,29.42841615499484,31.97898564440128,33.96564045280765,35.259298099438546,38.746748950677166,41.04693444198799,40.296686986892524,42.587659112111105,45.143556369104076,42.95243057371692,39.367426571417695,38.90271893078051,36.243537625182036,38.19977570725702,37.78656405146797,37.05970623857241,35.980246732689196,33.66194150007453,37.81153254500045,39.82034890289564,40.317366265057665,41.361738899538125,37.06478039863167,42.37118336970019,45.50344560094191,43.42311333891739,45.83241175703621,44.57855529743357,49.73005832630539,49.771968563698124,50.2717178026279,50.800147260654825,48.425274857612855,47.70724697589804,45.23755138188141,44.80526600195304,44.77483232201694,40.20996327135434,40.28391508358737,37.40884713251746,34.460713509696994,36.46653283346258,33.38578793374408,30.54038645788326,32.420591361499525,33.189684350767635,28.44093937690566,27.93391295351069,30.790453810722788,29.77212440333121,24.808235512785274,26.631264211078214,28.001486185138333,23.750478909986736,22.580438053545276,26.770269993249787,28.34216126512588,31.58990103699915,34.92498950970868,34.284315883895445,35.97925349823427,41.14483852012884,43.928588525250426,45.93998533983853,45.19680766966251,44.68381197229855,46.745449428825424,44.13382353590836,48.88021559513874,48.515672853669926,42.901482726749364,45.351800061881725,49.63924393164339,46.289470825899215,44.04974752613081,47.48042219055353,48.61021861826955,44.54362384642489,43.864159043865264,39.63416404367501,40.43743427021617,42.63175262966138,40.460653957834715,41.089329607859,41.911760060258786,39.09208055375338,37.139054417216116,37.179099332755314,35.706237570751995,31.90187016769565,32.11763520781541,31.90837794362147,28.916413358198117,27.82980918500339,32.007601103522134,30.40182299962362,25.948957978857308,29.42405573432254,33.083689533685316,33.81624484612884,36.775861129780466,36.55565128929171,40.832786391914084,39.29965840601105,34.903167136709314,39.03912696237351,41.0084542667643,38.12541491397682,37.8487014675742,43.65170764354221,42.77264601920147,38.52540112057417,41.3751444338309,45.862040843097354,44.32283209400548,40.964511362741774,36.50431919115268,40.87324664550286,37.25660921699716,36.231738903979036,31.36158342248221,30.05566079140341,25.242255490121302,27.109379687922218,29.219942754818444,33.01270038470785,33.20752324913427,33.28195587844007,29.333543383544217,31.75364384959713,27.954684719300026,25.325577773953743,25.549099634056716,25.918333293714515,22.309569248546502,21.26923963499317,21.697598033698,19.315000472730443,17.004045198249436,17.18062567154485,18.88446577792474,17.50972897200326,17.607328870411536,18.469703527660783,19.522884271130323],[19.83628864174199,21.533847433372717,23.893741450553343,21.63014288834206,24.75849026046995,18.906949240443765,19.397322578125312,19.427423398992147,15.733393075419752,18.154406608508673,17.430056805925968,18.451380549691503,22.318766498409847,20.11973278418105,22.7842539319806,25.335933443287715,26.647032607751605,30.244859996943813,33.78609013209349,36.54729728708601,39.89291669231295,44.064218916924744,45.1090446907501,45.66896712192324,42.91411540817563,38.64257075631365,36.96800087786803,32.6431230382015,31.487595314700663,29.82616628058488,29.800146449244988,29.62735055755022,30.98536167423408,35.18398778396935,34.87441233682209,34.65463068467585,34.35922856805422,37.07889558772034,38.37472409925907,44.26110230166927,43.21751605290027,41.800790519436006,45.87110364415261,47.21920502281317,49.58454863093717,50.69673649524709,54.16228470049346,52.107874337311415,50.07512898566121,54.27080110673502,54.082221224400406,53.647826154926484,53.85850727208403,48.509161019070405,50.63120219472381,54.42390765744593,51.198954401739364,48.269560606278716,52.66561824862305,54.55483677931743,49.454863448086186,49.219269240509334,46.02614538672566,47.93557047486178,47.15404189571579,43.2835401495595,39.65773345371922,35.81301414354057,33.406793951400175,29.46582262779753,29.445575320609734,30.53490055970464,31.531579858347516,36.188152580888776,34.939002383903905,40.54455801752289,41.02053982445447,42.51061623062361,42.945127316109435,45.4790230134537,43.65223491694447,44.751338514922956,41.666937455013695,44.41685398957298,42.73296466415185,39.53110644013807,40.665293369183,39.52350631913633,38.998061187259445,39.47306940122154,36.724974110185435,37.959842711144084,34.01146670146696,31.416031790865585,27.400504023392152,25.69818198403126,22.28458450125745,25.429574235899032,23.403536372457648,23.87245209792994,28.397414337794885,28.946825424247766,32.38297491045295,32.12131668498539,37.20648493583901,33.85720612964915,37.026431947742616,38.07795525114886,34.508306068885034,32.38987952268591,28.394147255961197,28.478913526215695,24.025342794442004,26.07509685856512,24.373004511198815,26.562822709503134,28.418596137757497,30.8165241895165,32.72809252967272,29.181943241079836,26.926952202543614,23.99324672330573,24.93828385287177,23.329072322185155,21.242184520597124,25.939546504364404,24.864436936760246,28.967444158018107,31.791057092680294,35.62744693211723,37.15808705810766,40.65190094057066,42.21228466988492,41.27710324350231,38.98528941029686,34.99356014931305,34.749480475914766,32.58261916772598,31.072868772910965,32.66131288891892,34.707115811123295,38.449501471746736,35.82946014758837,33.81121795625277,36.004481361325034,32.682110567281946,30.575881871010427,28.205695297077305,27.90412648866405,23.703093613731657,24.68956388069599,20.677144612648405,24.014146566432217,19.99319144603066,20.471186826122523,23.860715433227085,23.694811905400265,26.522329106076203,27.62352963666718,30.380666295016926,32.48199278874038,33.90226662980806,35.147239662256204,38.66254470137806,41.172465523690114,40.3510813870767,43.07105386429506,45.53568818679467,43.688299258185275,39.91113717244097,39.63411392287085,36.70299752886167,38.6768159536337,38.285707633075695,37.461732266174735,36.648848340474906,33.891951964482196,38.35560596165757,40.18735401283736,41.055066037577106,41.942416299330375,38.10833824562424,43.50792548380015,46.57406363334411,44.266040038544354,46.199676067080205,44.53386187117263,49.73166536796664,49.67550365256681,50.557142090263795,51.2799155485136,49.14769071823135,48.70160189470254,46.45946382896555,46.32119226449637,46.57138457339379,42.01506893472032,42.468737731312245,39.85730747644355,36.97930871357872,39.42072732506247,36.436306340501005,33.36228841717511,35.4378360815872,36.56587822301884,31.8049734460215,31.010333002914006,34.243821217393275,33.565940637003685,28.432107626125386,30.25367168700412,31.923469278352506,27.75766330018108,26.313140780579552,30.581242123722074,31.90432393649005,35.53093631169323,38.35388170385828,37.854693811011984,39.80567895130618,44.92133928708039,47.87905458292979,49.78142064193255,49.06814170220825,48.37130730917774,50.37037969739812,47.58150781820979,52.24345207497056,51.96611051685793,46.17965908693519,48.47651798779893,52.745938668144085,49.3519037354869,46.9345145148341,50.18996464744386,51.34931936270779,47.2759050509468,46.228352743884514,42.34251719374346,43.03955284880748,45.48398390314476,43.643831821826495,44.22712069272345,45.322028080220754,42.232761958171054,40.253049457248174,40.71768492988539,39.18563094941773,35.220043406667976,35.700807113089006,35.742576646415266,32.76664618264633,31.68490089003135,36.04459850780347,34.56860404935837,30.14314944890508,33.590213499216,37.30972042016045,37.892013704341686,40.777108096576484,40.33468837846114,44.61471140026211,43.223732315030325,38.613656067929995,42.597475415673635,44.650139556114574,41.73285964946262,41.137750987904944,47.02928157049254,46.174911118878484,41.699856292838,44.363691797901915,49.006341347310915,47.43507372861558,43.91307306100361,39.362020584487176,43.66295281736941,39.89699902392753,39.296909425217606,34.22408636924374,33.15625340484871,28.330429612932633,29.740752390140464,31.757870143364336,35.43464861615687,35.5546236245683,35.99861525691957,31.762672230558103,34.14167738982755,29.986810278577245,28.0864959944616,28.364433883458407,29.159785444300027,25.28670885150352,24.173919211556814,25.23642468544074,22.96476418824259,19.93586653750177,20.483733825453548,22.779488827531488,21.682801045035685,21.82009030370345,22.58360582628064,23.5969832766023],[22.090116443850306,23.35332730187043,25.31746381125621,22.131442664302213,25.141222372114434,19.837646523753993,19.70818688567193,20.299883625464112,16.008514961927673,17.281171318803064,16.476013398947256,18.440267458229904,21.486438628813875,18.411513727604994,21.274482294049438,24.164369045902095,24.962347215650794,28.25900780489403,31.268567000820713,34.45187422583996,37.4803625139027,41.835464779428364,42.55541285001611,43.00473737691808,40.528072336765675,36.14728044576156,34.88391164213379,30.67064515005826,29.863465371949335,28.784452922405453,28.38931752314548,29.05479897905196,30.52499629745745,34.34030892595818,34.01180150315629,33.343871437969426,33.59762545864001,35.69854706033199,36.962816774148656,43.07860501159782,41.519156088088025,39.88873373576149,44.084511198832864,45.27800705816446,47.336388083923126,48.382318260260845,51.878774772030674,50.12166789023645,48.17451882068903,52.52445840282363,52.52312767848444,52.33028360414486,52.58276379284533,47.178956574124975,49.58859746397436,53.05608311992846,49.538362920683056,46.84687665654417,51.247513228996326,52.76572088581793,47.51810166098943,47.28339107945152,44.22970554038302,45.695929345696726,44.91091191349242,41.293320621584016,37.215050423198576,33.62784364776132,30.71254255667507,26.95243615082718,26.517392244880885,27.338275141030326,28.84081039023177,33.48012629391962,32.79318151164499,38.54216876372492,39.21014374943761,41.04978814080092,41.60136765264448,44.13964087189648,42.75163755911844,43.86682266692308,41.277998197541486,43.97588786928975,41.978830029327725,38.740437983573514,39.44121393148672,38.740651236000765,37.594759085183284,38.412649305820416,35.27274904142581,36.3457827328293,32.52154855700348,30.34107185540947,26.290567037968877,24.57533101985497,21.047809463196522,25.071987491637415,23.500185778271018,25.006379136715083,28.765891283966464,29.9965422270785,32.74602993027116,32.939565591337775,37.81245126176464,34.510711584049076,38.05264930200484,38.943991019874204,35.49886148805793,33.483709027009986,29.33721899221184,28.737080470591856,24.107725427561963,25.41314834192109,23.098928835004717,24.822688607927066,26.37565562422062,28.407134787888882,29.947286825477224,26.74004705695963,24.241310957403954,21.622200117982917,22.542119825292723,21.51704292340967,20.133381137877947,25.112974142245218,25.129095458726695,28.986352686158856,32.122151624120114,35.9949953001319,37.45113362866408,41.20876667874203,42.30788974744822,41.55398944830385,38.794628054508316,34.634516468293114,34.33524108421181,31.653767342167814,29.64135652550361,31.169632641058715,32.54126888508413,36.158207860485106,33.602845350499685,31.947790048186953,34.310126672233146,31.23012841971362,29.193380290522466,27.352502753666023,27.63372866322198,23.758163882571377,25.570903480653392,21.90960516558764,25.866336267368506,22.53369765820561,22.2484947612925,25.169993214807292,24.298315243314168,27.35442504979144,27.689555848401817,30.644466791856274,32.015622965450405,33.04614247603798,33.88853481630655,37.55985153882696,40.00020916052029,38.90597638022269,42.021240124200745,44.25657371983064,42.71155049530481,38.78795379630266,38.7984370208653,35.718970874210484,37.899792270538256,37.715259650775316,37.01346018381691,36.64762072271094,33.66127441540503,38.50610064919995,39.89596263890211,41.064992540088724,41.50722916617205,38.13703175212221,43.46215430019004,46.3580989045428,43.79328577818695,45.377068656373496,43.374182313838915,48.53797345859215,48.23257408521774,49.43698435555471,50.2558878686015,48.41547899120113,48.12926837262191,46.09443918859153,46.233720910963264,46.68827591954207,42.13669441781673,43.02380872044178,40.65110371889507,38.01140784460786,40.86744982227747,38.15265478085917,34.788125533154265,36.88858286787813,38.49938354236592,33.80521111108942,32.493011947993686,36.154061119384195,36.052967651260666,30.654085470170717,32.37992109439198,34.47076062713125,30.514882643233324,28.638132593348992,32.970203523878155,33.90744226708864,38.05951195053906,40.098583236277754,39.808334803445014,42.122776650985166,47.14279694405703,50.35463990293364,52.09212304595629,51.51427246664755,50.59594950705363,52.58771598481199,49.668657206922965,54.166289801862746,53.87965280531036,47.90210873875889,50.08872098754653,54.22095629195646,50.71223296301208,48.153428852928265,51.22806926168579,52.27776801215991,48.190904935393185,46.83507175738923,43.36340212555712,44.132772413795735,46.876539957078684,45.457803947100636,46.159943002500796,47.6602447097164,44.38789178974325,42.1870092841571,43.14660881472197,41.77339370444765,37.55822376986025,38.13965064441981,38.6372300975793,35.76494715895603,34.45646555109262,39.02947142043912,37.86423774836326,33.411850330076255,36.638408403227025,40.46789769260518,40.734709528745796,43.564303225004,42.86603391400566,47.07937770681909,45.78746398810711,40.88129803480984,44.68602479691867,46.743972663267435,43.75803145031951,42.784745643723525,48.74173845087913,47.84815019662961,43.10912630164372,45.565488284422436,50.338042276244565,48.69460940285571,44.992441640237814,40.36726275541735,44.5374671290427,40.63774157671366,40.5661442164897,35.29987597961087,34.5392769183451,29.782482270711796,30.617743276614398,32.49134015591455,35.97304666196281,36.03761891900791,36.948845341847665,32.529470901338556,34.949309680437686,30.524726046557156,29.443783759115103,30.029761994240513,31.329159960269692,27.46212819559894,25.959505308413355,27.631439333126348,25.765432083580507,21.995046319143636,22.558683536060766,25.53923548693483,24.985638116239507,25.314297482878647,26.124846170245675,27.247319780763654],[27.663012329211288,28.96743370065632,30.58149030566998,27.839089751973606,29.985259335007804,24.247153004314452,23.380133891733696,22.763425770520435,18.25271547160522,19.049941717679395,16.873095783083798,17.957893233059252,21.875979472095242,19.06912969147877,20.23097548507612,23.27359863841553,25.166627174512563,27.73413534343857,31.110986110394556,34.146781164001744,37.06985808328858,41.41468327883072,42.29083443737374,43.31884412490003,40.99510795965875,36.69014877996186,35.620708750192996,31.47841475275091,29.86891262551098,28.408482011194547,26.510563948581453,27.53048315301801,27.962734142709504,31.61802367607504,32.179584822804955,32.142200141348404,32.827169128839216,35.61920490844289,37.50006269724423,43.56955046190037,42.426068322874094,40.06250683479063,43.998803289818376,45.77726685895843,47.89151756816566,49.468336630196006,52.695226628647866,50.65238161226608,49.376580441068036,53.75013063467279,53.171164289216165,52.969292796430025,52.74851262134685,47.53945220795232,49.217557242728006,52.58379620528082,49.25750742064259,46.02503960931023,50.102270002497974,52.03957038887026,46.68610585882229,45.70842330596396,42.29145207825431,43.84193247214728,43.732897417456094,40.1433008789025,36.02439783125167,32.25014673210157,29.695951865633706,25.513119535034402,25.496362596817754,25.720640488374872,26.63151924259288,31.49835295940487,30.55796008252507,35.699431744826306,37.11245641108214,38.35093359068515,39.538309727288265,42.61209220412822,41.47614190128107,43.34222315170714,40.77175384804892,44.11438468939048,42.52194471296241,38.72033215334225,38.94248680480431,37.57687081224645,36.22937137672002,36.006019352197484,32.781210508774066,33.096434824569364,29.25150976983182,27.03613061027118,23.673675067401962,21.126685618042842,18.503875938167035,22.639720406620086,21.792455567516694,23.246118837002925,27.385671966347516,29.61775206090179,32.37472659799988,33.582055734564484,38.84551871177872,36.388341314152285,40.07728750408245,41.62574509819354,38.64442321857729,35.989382426314464,32.38999646688577,31.39369403786153,26.778524853820883,28.19945809893421,25.174802363992473,27.35994659675834,28.043993656240875,30.605128592432983,30.95431478160527,27.263211866976565,25.41889234289066,23.227394663315216,25.41868992624026,24.71691619821519,23.670738691342233,28.775886290459407,28.961725694521956,32.47840419973315,35.581169683313895,38.8075095342742,41.129272148374014,44.54835141518224,45.568274407518864,44.13118150645978,41.959045920032736,37.65085458716605,38.32746988337767,35.3822720552252,33.41055174034521,34.22851472073562,35.6831899979879,38.6856588327844,35.518023332511525,34.0712187440912,35.89143073712108,32.30040158520774,30.858328469908262,28.705144006680744,29.22417413820748,25.426049930964613,27.231666793075735,22.943062081758676,26.271226752837592,22.471026713451124,21.310124589911986,24.615928182112143,24.191027810801483,27.91426586430841,27.951746938598305,31.98392709948197,33.85632327347577,34.053609050249435,35.88711143146398,38.92853571111467,42.197461360570486,41.82878851606248,45.03741359476222,47.642556487312085,46.44737165671768,42.50358429527128,42.200919734611865,38.78347703326731,40.19789323557909,39.45839451514369,38.11419136956313,37.378167954618114,33.833406427691294,38.34510623784807,40.283240783947996,41.74345407093085,42.91740049874875,39.910958734466355,45.50530988449185,48.57287633354311,46.120278514969606,47.056003473649135,44.75656795576245,49.97995826411384,50.144507461169056,51.629369883416054,52.82213928750915,50.968578727557926,51.17807880316849,49.383140167324854,49.69349277187009,50.529486149288424,46.204585471067176,47.02217790726544,44.99464646714407,41.899874970142164,44.93231632576824,41.788056143017705,38.684381059285855,41.4120553212477,42.71390228852782,37.940346848666366,37.476702017082175,40.98655662727537,40.232790472164695,35.35191872517583,37.486434435025586,39.284204352611496,35.04613137141013,33.87538719958942,38.3276145697155,39.47028801571793,43.194777266175755,45.80645449495412,45.097561869867924,47.162242352253806,52.1129890331589,55.29341616694821,56.921029790245,55.861674418586034,54.838217919424096,56.503369199659126,53.30608190586029,57.91045290272224,58.067012621452214,52.14559157163557,53.98201956714828,58.44369506176799,55.285417505186366,52.5087372106284,55.383782358193336,57.0108226154782,53.09430862018345,51.27026735421425,47.865855120279875,47.865353281728694,50.48972496247493,49.02760145448286,49.1601562051186,50.4221412547606,46.80981586765983,45.21958521473355,46.23062128250051,44.239711881987034,40.29929852951356,41.510140252833395,41.595394311823675,38.58064601166579,37.98404614578373,42.51368244471172,41.01288824614352,36.87460445854206,40.619019182310076,44.29087842442939,44.882623559550176,47.43822488663929,46.598522318192984,50.95802510695327,50.062980329970884,45.338237528383935,48.95317422174359,51.395220865159224,48.6406191598376,47.586207353775094,53.54034087183885,53.10061554845402,48.45128440366303,50.662842783924624,55.58035554261739,54.291573924016845,50.66416687791117,46.16494145950667,50.587678910061925,46.88163898888653,46.6430047965226,41.40617603592239,40.20951039015227,35.40811819798708,36.738920792132696,38.407147104856996,41.95696996258692,41.69097869700039,42.19474394867512,37.42938705691919,39.305849317151896,34.75594609466819,33.71746157553523,33.43679351798143,34.58908745002324,30.129676334242088,29.635525579553484,31.482927857074184,28.9117225455231,25.37751424786235,27.085767839933354,29.733809018700235,28.604245490704827,28.58557874422235,29.07449560138205,29.92443367896457],[27.401702638607738,28.469312008337038,30.100787987089365,26.468033419969576,29.058332794926937,24.09696867491961,23.240438067428357,23.746188600763276,19.026013788709204,19.069732977588796,17.581009509804176,19.935569226786786,22.54107381178519,18.77696156182645,20.925549787488126,24.19216175844053,24.955049736759655,27.484147246159655,29.996518854265403,33.58393110795037,36.151449565295444,40.692270828464856,41.092488176907146,41.69241866703478,39.647199116250405,35.20709909087034,34.538477381339156,30.538214172306258,29.74262521875805,29.116570896007172,27.579313086634627,29.29788555509509,30.339706797411914,33.62933853264315,33.741275468963146,32.922823120828305,33.960964854615504,35.7312445802908,37.24532704225656,43.52969712665833,41.627811406701454,39.421958068978405,43.60214553685272,44.897941147250364,46.619708102294716,47.834397565039566,51.22035024974965,49.67795213633466,48.15330694487319,52.659214369974585,52.592605577825985,52.65396083539165,52.72699057360444,47.38614073963563,49.73297847338025,52.792559612539975,49.06793947621198,46.38416849712417,50.60486835283963,51.91641747129889,46.47465691441804,45.86124037651806,42.795250960419395,43.77382379862423,43.34582961371297,40.063083076680755,35.445300742895206,32.10747593475445,28.765761595775718,25.056566836140828,24.290536250593476,24.36793628104204,26.252626151592704,30.96125053626425,30.868595301533524,36.410870279003696,37.708686744413086,39.61378334045827,40.62806913465481,43.42924478742126,42.64150736052469,44.13446383509142,42.06570179206144,44.99850028338559,42.89756673215675,39.38432538304644,39.4022729869875,38.838548286419005,36.946941362956174,37.594117415354816,34.008044620971916,34.47205295101008,30.82333307743166,29.125287768849727,25.468585995916992,23.336052041251396,20.24524725257133,25.148907016509575,24.390425551515204,26.718677920629617,29.965245344506446,32.21939755058002,34.36754521069934,35.407518127127126,40.237910681663074,37.36802535674032,41.25138458074978,42.27992866243044,39.14250025859575,36.96456898245323,32.9566156168501,31.651554236580733,26.951939105458052,27.62564501979598,24.45644625490401,25.862256198619814,26.64410635037154,28.460598592291085,28.945460974426222,25.96867464027154,23.536955920533593,21.58434652815088,23.054783388918544,22.86492082675382,22.383448648363206,27.547926383388827,28.578302323751245,32.03794176269117,35.38565258121681,38.99162920819276,40.71838052542135,44.5392694688279,45.20253267408289,44.33390126735385,41.4214870474962,37.087489796338836,37.13296006285597,33.900626248130514,31.438679268961625,32.58276505503673,33.23686208617462,36.393290579161494,33.66568243726107,32.53772380162751,34.806451902337436,31.78752424325217,30.12982112812947,28.71051158720483,29.64287440203441,26.15405131518516,28.60793178985428,24.98866895480093,29.072495992459558,26.001583965340025,24.846714092231238,27.567625065412432,26.353425924209233,29.85225067306013,29.401024807396944,32.975158976975706,33.89505038720201,34.16200702766529,35.03920095724696,38.54574594899491,41.260693791653594,40.21163495774793,43.74032144056794,45.87846378208647,44.790882643253205,40.75158091230872,40.917997560504496,37.58643176226032,39.61907840465616,39.39257817348652,38.52588551037574,38.41221473973209,34.98597682835138,39.98343108721427,41.2064319159385,42.78140338380287,43.134599640386476,40.38009404474006,45.7161094470058,48.5113415859428,45.769674830366306,46.72136378337126,44.2593344687912,49.38074314406927,49.02834872648482,50.68139887249552,51.75395580743059,50.207937821719135,50.28523237973063,48.55708268465485,49.01875014358792,49.80087366137157,45.36777300266884,46.59359882569406,44.555917613412724,41.955239173868236,45.174202906101165,42.51183271842381,39.04969295740149,41.37465626761928,43.21007263767392,38.550258320008574,37.172466475638714,41.05108663166966,41.10660087216786,35.72171124911072,37.4936801011093,39.733769837397794,35.81747174731303,33.89519917900555,38.25794319600622,39.03706463213382,43.36900026072918,45.080853332802654,44.8371575453083,47.30050398170163,52.23901126211747,55.58093866247602,57.19874416571474,56.57246107318913,55.48152342064754,57.35879451056304,54.25880949391272,58.66773320365764,58.527960491958,52.44683226213828,54.425348538442975,58.55804476083526,55.08983084708807,52.35911317379836,55.2107630820834,56.366320370052335,52.340870906830006,50.584668171625694,47.487398795427744,48.0340880906462,50.95534402855268,49.839121242722406,50.41228570819677,52.10415892549281,48.5773200314159,46.462021442810716,47.77850544503089,46.27691132056964,42.0101081530422,42.889090755345805,43.51515882922106,40.650478038516376,39.46401866438734,44.139190930353486,43.02301287198576,38.65089154950276,41.93098965952407,45.76963639399697,45.97154746614549,48.68849876339217,47.79271270193025,52.00805516456762,50.90210533932825,45.87829058226061,49.50065458065308,51.67559740405694,48.717802710201326,47.47132439194176,53.45362455385852,52.661863636113864,47.78173321693506,50.00787367319287,54.8983518041103,53.29977661569918,49.5002757227449,44.87532313804899,48.9731794538861,45.02895734727364,45.30146622458912,39.94862090595203,39.31869746303395,34.62987457162548,35.177027397113164,36.891928561916465,40.2090593121983,40.14939364858402,41.296155603096835,36.66654460049159,38.9100011503837,34.269835365281686,33.82653412214865,34.30846897268959,35.882433171722944,31.808521726333932,30.441384475790105,32.5414957313102,30.659473122480897,26.568252315531208,27.533787106331033,30.758432980407086,30.2693749476842,30.55984452708014,31.262079037414463,32.31344801755925],[31.9232476724258,33.0402297952968,34.59828774898853,30.982561863414357,33.309656043895465,28.31950150965791,27.13757029227864,27.284769179906114,22.46070950118429,22.0449900112514,19.97363039686082,22.10434717118573,24.76154494059791,20.925650238725975,22.13414957243597,25.52764343303187,26.612776635970103,28.472031160855593,30.784659295658393,34.48508034774322,36.729519110607384,41.31756555579724,41.582172413820345,42.44144921544382,40.706113136544275,36.312329988436595,36.02450981302329,32.212006211087484,31.18430053559201,30.6536543656752,28.08156015727646,30.39885034533683,30.844652984073214,33.7598996476275,34.41947220938705,33.76293363909022,35.30430172978468,37.12952590582716,38.94097521430407,45.229792834897104,43.31035546387284,40.61129236476127,44.65982025150051,46.18136707565199,47.727702527467706,49.18122897063603,52.404245794421875,50.90106228106003,49.80655278613464,54.365768623931196,54.09466489220398,54.27544404582879,54.112747605712215,48.90012100153753,50.9621352569185,53.76692543755395,50.025196157011905,47.185733675667606,51.17178408114913,52.50772783110301,46.96549363828566,45.892773108570005,42.71847871170601,43.43344871636596,43.454076097658614,40.404138935147884,35.51911136318105,32.31221586138851,28.902309037824292,25.165161431129384,24.35742479989703,23.723009639889636,25.614333415297637,30.35771001772401,30.551106304879433,35.658407348016866,37.59038426855504,39.288167761410485,40.779912847873966,43.88388792266104,43.49266475349431,45.410976791507196,43.598687872706215,46.82739552619388,44.829034534739364,41.04256449989451,40.58593424312045,39.865303656676375,37.55996857643793,37.73434825713375,33.926530139257686,33.744412679401925,30.248273889176573,28.842638307524087,25.745904825459228,23.13161053155657,20.730435810896136,25.938637951831065,25.802033473540593,28.34907038096313,31.498849483921646,34.43132292334997,36.35446347071925,38.017428964410605,42.928363330420936,40.48543108271991,44.50041336786763,45.76671352523706,42.8608885176951,40.45658057031606,36.66065431090636,35.053412063493745,30.372598648060947,30.875639986573805,27.25391725504408,28.639211100830664,28.8330909008412,30.66175251199473,30.25991347618708,27.327757231383142,25.191756709179383,23.744768663017876,25.762621295617535,25.99484847870728,25.915731751581834,31.1050435079935,32.468685196680944,35.70979491364823,39.096547758214186,42.424443974930774,44.4708553646793,48.20849949916337,48.705244215106966,47.60534479572515,44.818779807849985,40.40419688172985,40.82510645563349,37.35348133894018,34.753392327292545,35.55231700786075,35.909177834840214,38.65104371028782,35.709320049286696,34.90248869256563,36.94515824441828,33.84160110375297,32.54821863724396,31.225893194784252,32.455090187936854,29.15751757195441,31.766771647404088,27.99413376407556,31.853911480486385,28.690019266600274,27.06155109228993,29.8272042934861,28.683912174802263,32.494444775039064,31.694083301260907,35.78606654743914,36.69218023066165,36.40488894744789,37.58330360166525,40.799060337427676,43.851023724808115,43.029548981286545,46.73235696545668,48.91305960954996,48.11017301321552,44.043133113338186,44.190418050027624,40.694451450624996,42.44054259918171,42.03748402859604,40.915752817937175,40.78280014659784,37.03711551901284,41.93421563990384,43.26535261251631,45.08494308720355,45.631981901056285,43.241706992467364,48.634861148515206,51.43008531800921,48.66563444795629,49.16119975993439,46.42596920808666,51.510080681217644,51.27498984240017,53.20367243600871,54.4886124885848,53.072196525703795,53.43536968309696,51.899135496410885,52.52549768319306,53.52226925740247,49.19705516812368,50.50998947505278,48.660770410651836,45.95518852174682,49.30711218035243,46.537358728633244,43.129293160925165,45.66445519040328,47.460266975948905,42.779884472986915,41.60279524398898,45.479582317733204,45.379748169448376,40.1198711000416,41.98820752766276,44.16025395649702,40.15913563917869,38.39317264302297,42.77014857543151,43.60897738033638,47.855844438683576,49.68244994466989,49.37748322740432,51.795508601380625,56.725253735119175,60.05708974061316,61.65763033136051,60.90919907046679,59.77208939799453,61.54252415458319,58.3290327561207,62.752848720859724,62.766567139400905,56.67832728140591,58.51564631204391,62.73618732886112,59.36831235686828,56.54124910840354,59.27904070477844,60.606861729641864,56.6407752904837,54.66132059852784,51.6879721850445,51.9734750455585,54.90564828278061,53.84853214401555,54.22175956310118,55.87372325566995,52.18898748023205,50.28818571414841,51.6839377253775,49.959306503057974,45.779552000994,46.89976639420541,47.401659316373376,44.485605601987665,43.538632099432355,48.20531503493743,46.96522817793739,42.68293187405025,46.13363420643674,49.927121860893436,50.23960583838035,52.883879939240906,51.93553402575005,56.198221509686235,55.21609232489207,50.22918738603837,53.784447784714125,56.075074914529964,53.17244798395689,51.86844929701105,57.85744098554045,57.180451584449735,52.2936071849223,54.42311575218005,59.3705940141935,57.84667496085442,54.039865851733616,49.43443771332238,53.54752525555903,49.61147975808907,49.921453195258245,44.56235183942309,43.897096878372274,39.20149269632781,39.77835678344295,41.44512674755278,44.73702898875161,44.59783333571701,45.722750745273935,40.97173657608228,43.03991390766585,38.320796504545896,38.031009277210885,38.25811598030665,39.8325946138158,35.54703951646016,34.503684998232806,36.69971889871814,34.59899713875938,30.557298011428852,31.87171801482095,35.01365617050179,34.32211525473648,34.49084328503593,35.07549383262622,35.99609078331931],[33.12254061468211,34.711242476705515,36.79770520077042,33.62761216178794,36.34132335061994,30.95507881221388,30.213695898597326,30.054028713721152,25.413634895534116,25.67900670195793,23.505059100599688,25.03112732948864,28.416459205850273,24.982833583050315,25.938677285494766,29.233291549909293,30.784203376353616,32.71526167815403,35.32065561348854,38.85609523548496,41.19873302253029,45.73329544754687,46.12429464050462,47.118453350524504,45.3305232600638,40.96702916724718,40.55448522779453,36.66708303419436,35.367622728250474,34.45979270206481,31.731799725634986,33.68223829707686,33.75326297226471,36.85632849153575,37.82679058384982,37.57768019360571,38.92918986360119,41.23613281137112,43.1717716710432,49.38666904066614,47.747521608482074,45.02251652673232,48.99087768729512,50.67661306085689,52.34050742089462,53.88352544748069,57.06790730095367,55.429588192758736,54.38552443772096,58.904474556713936,58.486134612879155,58.56190859425939,58.301276556057864,53.1273207552009,54.91794469833685,57.86410047912013,54.280309368291626,51.2060223063766,55.11281114845139,56.71208998457919,51.19148955117169,49.903554732653696,46.55952258119424,47.4481511827891,47.685944002998795,44.55859779557819,39.81019038015321,36.468662249490244,33.31567461312155,29.417081343663394,28.837773631701754,28.085904337393366,29.68247221761126,34.48054460124267,34.428418134989315,39.233518767221746,41.3839139392557,42.71066601322413,44.386367623590026,47.66439837661271,47.12447347748352,49.22883383264041,47.12909836381243,50.53715498021918,48.76784767058236,44.88109166783428,44.55885190896065,43.44454395349596,41.39912592410389,41.07508851121181,37.42440159950641,37.0015420488483,33.44923525071396,31.820111617958247,28.987884866862277,26.058021469554408,24.007118312595914,28.771033215861355,28.524500251743827,30.344609629436704,34.21285959627907,36.92670778260177,39.36424345110998,40.90426522267979,46.06942863826408,43.641690647567394,47.44838000793019,48.86344614366747,45.83216636712892,43.329995727069466,39.5849175973333,38.40944200461999,33.73501894447519,34.691883830142864,31.32130502197695,32.976317507571835,33.32157460908517,35.333953288487734,35.01727519496409,31.89941945931094,29.876211418333252,28.27127213222166,30.304329588736138,30.25229054518241,29.776560413929538,34.964031346046596,35.71025084384979,39.19911068236967,42.44968229878158,45.822190977968496,47.903889160462676,51.528589411252774,52.33262587820947,51.116932534809926,48.58434216374363,44.21880311575984,44.60680214473281,41.386871424803076,38.98432614083562,39.88547568986226,40.52041627209693,43.36186953446461,40.370588546447685,39.41228317415424,41.38677388121226,38.094117563874654,36.78294754758482,35.13311015712804,36.05876545507242,32.4848163819529,34.61345843775325,30.455490854042857,33.84298103408711,29.968242925546356,28.745495398269185,32.020167691619996,31.44898238587542,35.277252020170884,34.93885150480928,39.095858977589394,40.50191493499843,40.37227123954616,41.84343190732895,44.981793645085794,48.141858005679346,47.44053643748342,50.99032716397045,53.27864557574835,52.29840096177039,48.264489501574346,48.29609290214659,44.8520871909982,46.517215158094416,45.97193115003565,44.71435638517613,44.263759832512996,40.53811069526571,45.18520176373329,46.900751547201374,48.59294560183304,49.499493064720845,46.83358535940199,52.34128500335278,55.2701964156925,52.63548827966072,53.29351355903281,50.685484513628225,55.823557878208646,55.73404474465224,57.538973855904814,58.793124465738025,57.21765109241058,57.4968297540096,55.82573656052007,56.28599537690688,57.135735208629335,52.747617621099046,53.79763713808833,51.71840769600559,48.876880925894454,51.91607849547764,48.95578417060754,45.72592417446703,48.16340395159734,49.61794975819327,44.86318868008859,43.924048013337654,47.49431709256781,46.997276254593295,41.84416861642446,43.66257790926581,45.4916907244726,41.350236093609716,39.756593502787474,43.96586049289467,45.164004404458055,49.0247567416231,51.46115482579951,51.17879614088822,53.31062923987509,58.39629646717284,61.42128766083741,63.29029884831785,62.55406438596112,61.685306448082315,63.53235963100671,60.47707403071926,65.05460111926232,65.00842164079518,59.06496308439333,61.061370470118646,65.36656646965818,62.013193753878404,59.33165117115891,62.25720457280136,63.5665480314313,59.547806226333954,57.88041986828077,54.57433547186724,54.91487214880449,57.643558349960884,56.23309486198965,56.538072137270134,57.83001758546388,54.300129177774956,52.5827292868285,53.526885815297454,51.654112702475516,47.69590548437495,48.69715899505191,48.76398120800646,45.738684120441064,44.97057590794806,49.4078887248475,47.831979465320565,43.53935149857934,47.14396906686046,50.8266931625899,51.461980791566965,54.24707270637347,53.6101701455187,57.926999479674045,56.740929632216115,52.01979547803706,55.813896088936964,58.00539900440627,55.087596930421036,54.169914297342494,60.12484317430064,59.317009880078395,54.622795001513644,57.03349014674568,61.841002617442385,60.21925805117071,56.517553040089126,51.882349612347525,55.97155733554464,51.98200165835988,51.93045370590424,46.711038999308514,46.04174791167844,41.26677425232933,42.051429146752,43.9836378608952,47.41702741886096,47.479150834496636,48.42462248434439,43.85720257110051,46.030078792228295,41.45095099180561,40.570722232596616,40.6583173671945,41.84478254582611,37.52822861393135,36.73969213978451,38.42783841122834,36.012846425511256,32.54501440357604,33.71600768936977,36.31145271078302,35.1328046515201,35.10435024453609,35.60653186093484,36.31777390268704],[29.06213708317422,30.74203609415839,33.09723968272241,29.915540303913236,33.07508898177967,27.784610645126584,27.493535528439946,27.748671919950212,23.25867325215723,23.97786451954047,22.366591010415824,24.11686591978277,27.421643662819267,23.992187232452437,25.792838632276965,29.014716650324697,30.202562101800638,32.68286606098157,35.342959880557665,38.870738136000384,41.433918715333256,45.96702469776163,46.39848499749891,47.11000602598017,45.10922432111236,40.683625219272514,40.01258732148311,35.9875241712819,34.97891555108857,34.066665928339475,32.226672235643456,33.73763561355055,34.357371282045705,37.77086199842642,38.247587961361916,37.792119270118256,38.746290712114856,40.91554418522963,42.55319625829362,48.788246963058214,47.07224401379935,44.79310002902309,48.90967359194082,50.33668085558618,52.091866532025016,53.37172436589679,56.72238857540219,55.1285727297666,53.67171790918585,58.15901291622769,57.996902487498645,57.99932200812156,57.98645811292844,52.6816920487426,54.80156126941649,57.93883039018442,54.317698544594535,51.44061256659789,55.571666663592666,57.07443972726357,51.61847470829032,50.75906599076453,47.53887362707191,48.56984106016748,48.39784852139321,45.11269916774202,40.497630059848234,37.09603660826011,33.872201714102374,30.037051939621477,29.378206686484887,29.130515796174983,30.890315908956463,35.678388395870826,35.51895204082011,40.75278960204598,42.38772715149677,43.966613869816996,45.23383010646331,48.23826652976674,47.3913772103023,49.091991395084676,46.80222346864585,49.910463748948466,48.002416550835484,44.388833470601874,44.46398982960759,43.558582850651284,41.81043612593987,41.96725736022936,38.44762687475284,38.56534080147359,34.88267996673352,33.049273090192926,29.708370356206046,27.172490575261165,24.504200069106364,29.10452814260117,28.31603754974729,29.9370293382047,33.91849513751652,35.99120504738007,38.64514240595242,39.573028838673736,44.64399263718029,41.765692977011255,45.42629168305653,46.559845663916875,43.26084011523093,41.038028548865356,37.052393763031354,36.218056916290294,31.541717075633915,32.62571843276428,29.69861842885077,31.277628739257885,32.15162013367122,34.03541571786488,34.47752462806471,31.433790157915116,29.0902057070911,27.116381010725192,28.56504007807379,28.20572531570098,27.405365852720614,32.52042316868665,32.948811399684885,36.668191276309685,39.873455970150374,43.5672698970034,45.243029065166596,48.97964611544834,49.943232547218685,49.02399903309094,46.30496538122187,42.03661634897526,41.951691630765495,38.97569854222217,36.6611137010959,37.9428478968009,38.724784044976225,41.9563440537907,39.237189197432066,38.047394860786206,40.278850825785014,37.13627507113419,35.480067271074574,33.81562795457945,34.48564286158727,30.747267538255034,32.712838870538945,28.706831300647334,32.291208795514464,28.41271283359212,27.73447123324637,31.016287969848545,30.392936233024344,33.913820321622694,33.910057056048124,37.54387281517064,38.905589771303354,39.3030683444186,40.39628955667646,43.84758676916813,46.62172592471076,45.61316260831772,49.02466422070742,51.19305912184632,49.94349109673569,45.94294231828797,46.0605327302142,42.80982204927231,44.82211827030758,44.50093763620612,43.52903301209947,43.13978382575245,39.72252252928024,44.4912428657907,46.06383263551768,47.532146236505795,48.189754578993394,45.191251930077165,50.612915242425615,53.513088011064035,50.87823575271808,51.9793838912319,49.6110969468411,54.76309014126005,54.49561340975355,56.06351594041568,57.09562168612387,55.43683303654235,55.41192419708538,53.553361605995974,53.8517908963369,54.45192936048098,49.940446396499034,50.91817030604636,48.603290202501704,45.93257827326737,48.781669038267374,45.97121994243269,42.682911175658006,44.80031142733347,46.29046865459987,41.566508125027234,40.328895770915885,43.862380993541784,43.55343527091035,38.21958892631177,39.844325623076465,41.708987875658686,37.67195310577015,35.829217300898115,39.93384319914,41.12438941491429,45.06067268355674,47.392463787792266,47.285421298898214,49.4481438890717,54.58647621031652,57.55317812332081,59.52363960591889,59.00756902867075,58.25354236764171,60.27048410493163,57.39483168473181,61.95771892348148,61.68297543206602,55.76491540842698,57.968819239224594,62.13607687359879,58.632002259808914,56.101931510069434,59.176114907957036,60.21208665679341,56.10944466971902,54.765173647621104,51.32112200286356,52.036357778425696,54.75115793014847,53.25602806763422,53.819868749725835,55.13068108567801,51.8155893005717,49.84569482359047,50.640669444966846,49.03593619832962,45.00019287992753,45.66707799373381,45.8243549544988,42.843619156608575,41.783602799694776,46.18219321173402,44.6948455461286,40.25759030239082,43.65317477608488,47.37974418550208,47.93167616328364,50.86816081857361,50.370842018144046,54.62510410187948,53.209302452554866,48.4802516666476,52.41166963054737,54.399027631261305,51.382987031861035,50.60646861211476,56.53698106598181,55.49991609670054,50.834196214642446,53.42351093835414,58.11396501685363,56.322958829897736,52.633484356808594,47.95677058027614,51.932211231912966,47.87321217236743,47.778921572321,42.606167242745016,42.104485048229854,37.35174238682864,38.00097888544962,40.077487472210976,43.512898569219566,43.76616484950811,44.812389037160045,40.47149669253371,42.905614779909264,38.44901322988838,37.362771954507316,37.79502533868042,38.934631168693556,34.89056204773747,33.72452825425395,35.18790209089766,33.01140654611411,29.602887569593616,30.243312620220294,32.82285865120772,31.783240926684243,31.866369892975072,32.49238973418363,33.291905207721754],[25.524948529242,27.418158672523095,29.987326706796637,27.344084255512364,30.620768875546386,24.989755629166552,25.13038167448333,25.15889915295826,21.018398250503363,22.569141601385393,21.188576975163443,22.454805418237534,26.27314675936804,23.41340369151691,25.443008056131877,28.41380698437114,29.844696416365245,32.802632641048135,35.95524643447667,39.141158727727955,42.08010514098773,46.474302539833076,47.21259114186733,47.921258246540425,45.577550696226254,41.19769853977102,40.07181957412949,35.87350398725828,34.68799860487323,33.33451440432976,32.12211429712826,32.851499804016285,33.62595195974115,37.45080356786374,37.72826102593103,37.51603096679543,37.91398161098367,40.4969467535022,42.06011674994496,48.1516886308936,46.80943194478601,44.850084820574935,48.93600181164332,50.40376091388388,52.46255081875569,53.71894868530653,57.11324621374864,55.267538024436384,53.595244522927814,57.962199703076564,57.72665973089529,57.51076655138782,57.547714816112496,52.225425894386056,54.24549181791849,57.71343070442492,54.30371840256459,51.30304202250964,55.52907140101903,57.29810759117025,51.97514179460534,51.290513564537534,48.000883826526135,49.47195985632196,49.12252136042577,45.544349978546194,41.357157308959714,37.68989045279594,34.8644239295371,30.872392980102205,30.55250583010471,30.82303569382586,32.17850812397167,36.99498061646732,36.28560521406753,41.620675186756124,42.85819929732054,44.27744635374711,45.27281968048428,48.16445125250793,46.85918327219086,48.39609079694911,45.673289469738656,48.71964329528939,46.98622261270187,43.481704783672775,44.025277180873964,42.870592678773676,41.70070111645023,41.804107488407396,38.632249685473965,39.133357398883234,35.28309202518434,33.03434158936877,29.474056995076,27.127406661928806,24.24061433750009,28.177565601011413,26.87203662279815,27.792881345966666,32.277599287932496,33.70413547505975,36.858083767432724,37.29850087865194,42.47919463261043,39.43959837491798,42.83018577413087,43.997981442524356,40.5604029919359,38.3332618153345,34.38388375426211,34.05168588549335,29.464114536500368,31.075574986975067,28.668822006367275,30.595623492886304,31.88583113298161,34.06473430442997,35.10233308857251,31.748011732784054,29.465958362579368,27.0485912580238,28.360733716348236,27.43294798612073,26.020952623674727,30.995362653173988,30.64099972242577,34.58295888234262,37.58754314214442,41.33565832631497,42.982247043863154,46.570520129845214,47.882193691906124,46.90183710119779,44.4568320774856,40.31141290979008,40.17253840557514,37.59474396470893,35.65947047097352,37.084105316255055,38.468769069592106,41.94167556297856,39.216007404395405,37.640745483483116,39.831943641454004,36.52481203056727,34.69088685661692,32.623623128713525,32.82229718403855,28.80624765124324,30.23061565545286,26.065507321179116,29.355721816040905,25.128101339188234,25.023287969504963,28.559525597627577,28.33134977453307,31.61905359983996,32.19812044146944,35.550170103762994,37.39087936292109,38.22677073891201,39.50849465195001,42.955642681059146,45.68651186383642,44.808418164199644,47.896538455653186,50.23338190816156,48.6851002799957,44.78082655951384,44.694031323990735,41.57670781725661,43.53184507245425,43.120161244821716,42.14350285759243,41.46456656471027,38.295820752817285,42.859348059575915,44.687757246942525,45.87805871828104,46.771800984163626,43.34580143132419,48.808024975250575,51.827683197042525,49.371518792162476,50.85575984257707,48.806495724972976,54.009018484370436,53.88915235952211,55.13982465046675,56.04280329613287,54.13263763678858,53.91573990169837,51.85683845505702,51.92165724003124,52.33286471502438,47.78759586584189,48.456718750834156,45.946238602593674,43.14127443173886,45.70435050456961,42.752643235270874,39.63213535851382,41.696116826888634,42.89962677442672,38.14755877202136,37.19124419715045,40.468610047501436,39.84611572784307,34.66118890945796,36.33505885113249,37.96803411032312,33.83399158400639,32.22915550081463,36.30773568106397,37.703632041492874,41.34052438455028,44.12283618633925,43.86916232130644,45.82118669740734,51.00384989592106,53.83379444173372,55.8836507964013,55.29034732673966,54.66967941036937,56.70329501731515,53.92907594989284,58.58530842792567,58.290610110296136,52.495860215764914,54.790916138398174,59.02857391367008,55.584824783288035,53.15919598734888,56.371505135901295,57.455279419445446,53.35185580328481,52.243584957672475,48.502558762270105,49.21984656025921,51.74129787800968,49.9733697439926,50.50884109899883,51.58373591938173,48.42334950691907,46.536258571829215,47.01722232983917,45.37713426626429,41.47508819592871,42.02686725529576,41.95238288717914,38.935320214535956,37.95515986110255,42.2247965411848,40.598451264054404,36.177979769916085,39.65368065446366,43.31786876684759,44.021512361151906,46.9874621204753,46.6418571942749,50.919178237084374,49.4355903874408,44.87836304919725,48.91596283720507,50.88757761166126,47.91361533205345,47.36762039530537,53.25503452070458,52.24368605765138,47.74303954117572,50.46652793738666,55.07479448297135,53.338869021750234,49.76576709187628,45.136880863109376,49.22731197672384,45.269916239724985,44.826104174252556,39.760405836634845,39.035957213194024,34.23748481024462,35.26417523363257,37.41985137582449,40.99944122025038,41.27647003668959,42.01047964520483,37.79093800383857,40.22908274408102,35.95178661703363,34.332765972828135,34.6351786424513,35.48045190582697,31.497146046976603,30.478250609352944,31.576446356882137,29.232960807993443,26.233757113126654,26.792304377481678,29.006765325098144,27.724531362635915,27.735818937355276,28.36552386907363,29.13433081440281],[24.48340696034651,26.15469205806847,28.74791808458662,25.42776624051979,29.116844934718948,24.147052591445444,24.38780439527721,25.299291149864167,21.099832497537975,22.224980956409865,21.43534723605841,23.528169521632602,26.43931350780621,23.042230276232594,25.831945452745874,28.885767062741863,29.505529617647003,32.53666918561087,35.12165153954429,38.618197945438396,41.358122480033884,45.84224034713671,46.2758460564802,46.6243530747895,44.425845740610086,39.984379010658394,39.060542114845035,34.96514293858563,34.38876632883252,33.58511130577268,32.814670865737675,33.895062009188756,35.18374610335471,38.820376415346054,38.690406450826295,37.92040008994732,38.45964937801645,40.31721083839355,41.55499295995992,47.75726105564455,45.895208334885936,44.16578966058496,48.422259416519225,49.49577786340308,51.3043348979919,52.24372133411197,55.7682181017053,54.27858241901665,52.3439500445504,56.770327705197715,56.9477357836348,56.894822551704934,57.190902055831216,51.770304303943384,54.3151957070596,57.605539630957054,53.93042690531128,51.3597559464262,55.719994259355715,57.03666149297268,51.694239111225464,51.36060919444456,48.3479834222703,49.473495046317666,48.81337428669471,45.41761839162268,40.97588824460956,37.60308491021047,34.30226031177822,30.674468578738576,29.891172336776574,30.20295150032708,32.15878047369122,36.81560864585961,36.6116053355856,42.26928702151367,43.29819956297402,45.20798385985961,45.987909135140846,48.621371610748994,47.48517906207221,48.671864686917786,46.263548121099845,48.951576047377934,46.843342885613644,43.61320520817219,44.10662316229926,43.543575264221374,42.08416655856783,42.87357739745523,39.50763097035336,40.232102014795046,36.49275161037668,34.53757086212138,30.692302094167474,28.702636824977688,25.4156001839586,29.783431877315316,28.446452332685347,29.963125320620534,33.81207882926269,35.15581264837295,37.89304607872712,38.11029125407867,42.940002125375884,39.535610629358395,43.03047664882827,43.76066597705315,40.17868323479149,38.363713025403,34.09631475593745,33.60460324569852,29.000990955171726,30.10928957909607,27.755931925524216,29.122827175803224,30.606871790500886,32.23380094120881,33.56426659974935,30.735276291846233,28.043820550502076,25.71970258216191,26.359455789995327,25.682292085035474,24.568402511937535,29.484182053510402,29.64743250673244,33.56262783648029,36.71115731754445,40.7749039903649,41.900898734222224,45.78849855697497,46.86480301973483,46.358527161481994,43.355791023135126,39.23956071896767,38.545933958265906,35.84756580567904,33.61841003236043,35.35500974165854,36.22849076487226,39.880036848398575,37.55201274758644,36.14046391584498,38.67325600383031,35.814519380215,33.77176125678302,32.2089969716371,32.626492141435676,28.827372381023007,30.668263490238786,27.045591769076427,30.910607345492366,27.29978058588482,27.199315290174688,30.277475063130698,29.468748202597688,32.534042429688476,32.821153811596524,35.73525110833318,36.89110737234647,37.887165384173635,38.42398074748164,42.23432031308516,44.47780927720108,43.062595290903694,46.31619305529475,48.28499959162967,46.753194882544555,42.813116311174156,43.0766182359345,40.08808588896657,42.54084566490979,42.537221665179565,41.95879363395224,41.729196442844454,38.72026598135797,43.62724233263057,44.9182549520664,46.139126696976845,46.40076775804323,43.09938574118644,48.33521452933468,51.14215619164938,48.49236942120536,50.079842074371484,47.98451181113501,53.09547693670889,52.57602670218946,53.879741039489446,54.64364430574152,52.93803200515721,52.560428024338336,50.516789003078564,50.65571540173456,50.97581864573209,46.34435106960607,47.296911037478836,44.74686609159699,42.35462445356677,45.02389499771377,42.478408761402996,39.08487774651168,40.78501044044696,42.41127199907456,37.774835600526195,36.0625406352773,39.61828684065606,39.67912365733113,34.09348799696241,35.44930746493209,37.454338401132276,33.62330436407496,31.380552399544953,35.36671237877754,36.44028826837342,40.58681280687914,42.59422960007487,42.728151207067135,45.00990461108394,50.16615839396453,53.13232218409905,55.16231832627636,54.933799480201216,54.25956958146487,56.47068466752744,53.793494598118706,58.28090283433746,57.7300506603014,51.822957503656525,54.24600691135249,58.20074279872591,54.50502959308247,52.139935569336785,55.34658248156154,56.0282955433129,51.839625287876814,50.83726985486302,47.317797621686545,48.50616489398906,51.24584775940906,49.74408137889667,50.65390717279956,52.074581546731714,49.00923038857849,46.68416695773397,47.40182671300447,46.18750252387208,42.02409904901557,42.28360696687187,42.67331038302357,39.80149189723223,38.31689708986946,42.697000129128476,41.424624379901346,36.83009097871154,39.87980238260095,43.67550578741146,44.0281315180466,47.11558524636189,46.720517828029315,50.86166290618642,49.20371488426313,44.407639506091556,48.443611584231505,50.18082016484171,47.0444492145221,46.35357588847147,52.24565104207996,50.93847353129676,46.26606976106254,49.01373478904645,53.57788851601016,51.58556968981994,47.88572982017174,43.164243613786816,46.97936781435291,42.83599058994339,42.79281954271566,37.64763669439478,37.39475840215851,32.70882275975633,33.088031131840594,35.296085890096535,38.68521556792327,39.15433153017716,40.39443183075028,36.336292056958335,39.08538130112938,34.788625353497245,33.59480438592253,34.53249291266369,35.705085271912075,32.078652189667125,30.338787899305853,31.620706251610002,29.886382885788933,26.44821969100979,26.35906467291829,29.046880883292204,28.356696833636096,28.65695890949843,29.47976745031773,30.438923453761515],[20.618510990804293,22.972907213637747,26.31753735552709,24.09728593875621,28.24089262634225,22.849654347647462,24.059326594797394,24.629522499406832,21.23941621314207,23.681368337953867,23.22494592809517,24.452138740579677,28.110186047783056,25.630507759507097,28.51480989904668,31.17841504845942,32.20739842795127,35.75469958486575,38.94568538168009,41.97220135448311,45.1424346599901,49.42161557298746,50.23702761123177,50.61238351476633,48.02140239504259,43.679243442252975,42.20125139696532,37.93373873727728,37.08647179084186,35.655969163228676,35.58249049463262,35.616717993341865,36.94680312318718,41.07964160725935,40.822099013200216,40.47912662475962,40.27974441128686,42.760310377787704,43.918234623018726,49.85751933460686,48.54605943615845,47.22630446519763,51.39286537901137,52.54431942185765,54.73282385484641,55.64744915987591,59.19975347268324,57.389465398299215,55.19939775067383,59.433162314577245,59.50020926372379,59.14218722374561,59.48640191006018,54.08733737221559,56.42462461895362,60.14829671800688,56.79627901961644,54.02899541482599,58.455945335190826,60.1614642490315,55.01022212742175,54.815697041911584,51.682811577221756,53.35362186872755,52.569127547833425,48.836016560944145,44.94132512492188,41.25879823561381,38.49892091240652,34.68173371211509,34.334855164316686,35.107917142591475,36.54240409012235,41.22927269102355,40.36314381992922,45.98887055544908,46.655332966969446,48.24662021027263,48.773329396340834,51.31259747492706,49.583701707239925,50.608403207090895,47.58273894797039,50.204594850369816,48.401222006412034,45.32990058489995,46.44961084447062,45.46975155186554,44.802467157106,45.3588861948683,42.4716663706618,43.52636922398308,39.61319816140785,37.147940284285994,33.20928487230429,31.346498633034763,28.020514411427822,31.393211887072898,29.425291998557856,29.746555441516296,34.40135789442871,34.74182258859127,38.286098471088266,37.741795996695664,42.71265298774903,39.075879650537665,42.03378766754435,42.78900628550138,38.94708609654911,37.2002168394916,33.02316526687845,33.48681312543588,29.13470026236036,31.08241118712174,29.60629081230344,31.430642947682593,33.46490333670119,35.44312771781454,37.48307013290392,34.299464705933076,31.758022525492027,28.942005717603312,29.371761935835387,27.919601040752536,25.905851467980895,30.4397188436042,29.242384210888613,33.51427051651381,36.2586683205728,40.42449838812708,41.39454591484312,45.01639965118229,46.70387453388193,46.1527748426564,43.60038604088609,39.75058251642258,38.8628712062054,36.88819399543675,35.27261290174649,37.25696529662366,38.946738459980864,42.904383929792175,40.6202262034109,38.71047401539807,41.15890737682384,38.10325263433023,35.84922559679056,33.71999026023051,33.3980279122209,29.22704909865571,30.08070405214331,26.25422353775637,29.42894379423036,25.159599457260693,26.143428533054344,29.64776356258091,29.58939431382748,32.22211582706949,33.470340063452944,35.906454729341654,37.825872622803736,39.47214930042546,40.2850552310618,44.04433378537235,46.188418524832116,44.94102293818181,47.67367890727218,49.83508894370493,47.82797692493343,44.08577439696108,44.06995205513403,41.35902912548542,43.73797676515627,43.60833043955064,43.02405508460497,42.32590657536753,39.71996012754715,44.21712565018403,45.93785905267397,46.72078774646083,47.37306284350303,43.41983177656437,48.66505191884085,51.637668291366815,49.29173844053595,51.471455748332,49.865512577008026,55.00694935225354,54.6951191059453,55.526465516124816,56.07537846834765,54.00211029619157,53.29399186937134,50.925314352666184,50.65944615007162,50.60238855723711,45.9166474913031,46.31838354470773,43.35460690173523,40.8173544148227,42.842495401904905,40.102088513950186,37.05415931511062,38.469069511678434,39.518215382410496,34.879163094226676,33.564105782290724,36.52499754007924,36.01736851508407,30.677303419721127,31.936581960180312,33.398898589811644,29.444853306283125,27.518970059126257,31.237583399536316,32.82291304242988,36.316855642905935,39.25208849656851,39.30309956381938,41.12274899858352,46.43130713259479,48.98011692223753,51.32494081140221,51.10826966463632,50.82086575006142,53.155900321048506,50.78920799405207,55.44477266159614,54.74956009113037,49.135476306954615,51.82387994913914,55.832169887557704,52.190178540284606,50.11676332424816,53.6231088220362,54.24842411871137,50.03565577281353,49.62735167183701,45.544761751948435,46.88875738384168,49.241998880143576,47.1833338923893,48.10557258073586,49.017481330851005,46.34448757164388,44.16171854820213,44.15545140025752,42.92897368544847,39.08885343184581,38.98516769207457,38.84370321489807,35.91327989094851,34.52409430166425,38.51806364877369,36.90070310992169,32.29069161111137,35.40488864180983,39.03863362739484,39.758588172968786,43.028006393579204,43.0916204748239,47.23454044062797,45.26978368908318,40.896957204877744,45.24310605387329,46.795041005009296,43.68112969396125,43.59334748664825,49.349022729111624,47.90323084090692,43.60933361970969,46.74684701351415,51.035617850555056,48.99532640414204,45.54182373021516,40.8923350266424,44.74114815731704,40.702681783655855,39.96142303799728,35.12953000496648,34.679490187764245,29.967742962777628,30.895568060161114,33.41184490495378,37.01527170940402,37.71704845321343,38.48120059284477,34.851515372807185,37.717757879735984,33.857307662586926,31.596152220707797,32.41649273056987,32.936521829795886,29.579819062728053,28.057197072535672,28.39547731166243,26.413596751289408,24.028833370573356,23.442602200869388,25.180192444903664,23.916514641965698,24.050958567581706,24.886972248010405,25.683156019792893],[17.969731400456574,20.57158883745267,24.344549473508724,22.40352467758487,27.000335716383436,21.903694337153507,23.702588868089688,24.60045482854894,21.719464209529324,24.529928949963878,24.571216432868844,25.784744271238516,29.242634422519576,26.989534397087258,30.262957349329923,32.73784130857875,33.52350989791659,37.332036079754005,40.50379120168981,43.424936331333996,46.69222536799523,50.88498316906661,51.73265827083975,51.926569316349685,49.21778766551373,44.9261621417174,43.27309586118479,39.010904037534814,38.36302266514942,36.92613273487249,37.44815480600988,37.1480678721672,38.77178971817242,43.01846190668588,42.46955379431319,42.03820478814313,41.537790263063805,43.91652205931452,44.84085084312775,50.65913207072183,49.358883632798964,48.39662697636654,52.58403160924409,53.54967222948084,55.793085904198534,56.513172792906985,60.134307045339064,58.35768758045901,55.89216284347077,60.03475498203644,60.27229991586588,59.84640765081716,60.3625317922908,54.94591855009894,57.45895840700169,61.297592446081055,57.98332637941873,55.36583184259545,59.88423854778878,61.53403570438063,56.497361713288456,56.57532664974409,53.548657777426634,55.30967298037985,54.28879036883452,50.495517604500044,46.774075777234394,43.111593530109644,40.40057764656643,36.70977904059825,36.34925692095296,37.377592145038776,38.8427977912255,43.42880775269124,42.49526848398523,48.252407609821915,48.60856601022056,50.300443927516845,50.57047215853869,52.901936843295815,50.96667131286969,51.699634620086286,48.54769787104357,50.90965697597143,49.06571170971196,46.25835692859493,47.671416389303445,46.81378912353218,46.40121356499041,47.21847132639663,44.48592616521838,45.829467526438705,41.90875886768047,39.364007443213104,35.25670168685425,33.664786570958746,30.146581948175395,33.226786374385405,30.96128722564192,31.026939437907362,35.65284470836045,35.43021574038859,39.10496921480705,38.0381897627555,42.82409397296632,38.8809281154836,41.58144782940693,42.0793511570084,38.0434533455131,36.605278910202294,32.33999823798614,33.22841090079213,29.079958854320786,31.15720304235383,30.20969484512971,31.93672854363298,34.33868958832083,36.180054079767025,38.73108350415854,35.675139821995856,33.030703200095914,30.054115690090025,30.008096793418716,28.303460235930512,26.012179179696908,30.202795884280214,28.568947841761336,32.95391183449672,35.52097467579946,39.88426172868707,40.44822634020112,44.070806216044026,45.943449154278184,45.651585833554044,43.03957127126457,39.390585417725745,38.08073688724081,36.46513942398725,35.044866371378234,37.315134286570434,39.15107006273998,43.33375812840369,41.31178389943098,39.24251758459367,41.808696648317856,38.927731247118246,36.472381339521405,34.35360497889959,33.7683827826644,29.59563471763244,30.150848467227682,26.620003914659538,29.711465580160723,25.57766603607449,27.082109759835102,30.461363618768154,30.448945479858583,32.68409087601192,34.24424921028747,36.14294581132568,38.049957237439195,40.11635309278209,40.6485694267058,44.54927011005797,46.347413001974886,44.89819252964763,47.41601957334908,49.460210235240886,47.21380357633614,43.59147117628678,43.62026279102172,41.16110333239726,43.761164365345124,43.79837503176024,43.44505026028328,42.76391306583588,40.48825057085169,44.92729714751094,46.549281047555304,47.11108869320022,47.601101600092136,43.402035948074506,48.47776595708636,51.39588006141883,49.1184257658121,51.66426755376465,50.30716278386068,55.381186291429934,54.959274945442196,55.556968034929646,55.90882665638577,53.765057472536114,52.78709053261834,50.262204809271424,49.81733969105743,49.49809317769605,44.76191497579598,45.02220126203245,41.824341010510565,39.47726172771957,41.19021399711278,38.61545167268186,35.62002350001029,36.631959121273006,37.6109806005021,33.08615471357744,31.530812530610262,34.2975593251151,33.9097254850639,28.500665197118618,29.481502222895955,30.860700832699838,27.0725461068475,24.923215165072726,28.392414191842423,30.0556072879759,33.484393274222704,36.44246747627991,36.6855813897687,38.444846589748714,43.79947704571499,46.20387415882759,48.69362490180753,48.707304672173116,48.59685569217868,51.09953596658683,48.971890023165464,53.5938490418282,52.66715946383825,47.16812930859729,50.067564245366725,53.91580369769534,50.166575723860674,48.30073796798282,51.95212195713374,52.303804564244935,48.04593547168684,48.03373569404105,43.794461946804155,45.50256862025177,47.75989661341108,45.570794179358515,46.72693864080089,47.57320582621715,45.18946871136997,42.82610300114936,42.57028827889938,41.61765170959504,37.82176658213037,37.33031279092358,37.19681606200445,34.35781208507761,32.703085430498355,36.51866043055535,34.959453677219734,30.268088710336805,33.103360961946635,36.70950302988287,37.39713345983789,40.82588282731763,41.10925883971527,45.143933683396725,42.9110660693327,38.64426900207662,43.1369954367857,44.43343459501443,41.24527699032393,41.40486939415967,47.06041885861537,45.363960581018816,41.195823010224004,44.550729409447506,48.64379913384475,46.43223261470925,43.05413947062005,38.412408974134785,42.101740587818846,38.03198397411651,37.13354123912484,32.457607000207126,32.18539421192756,27.569998961724227,28.40872050478006,31.117976136790666,34.70249140575273,35.64839537260177,36.43797524044817,33.19055721324818,36.28425106365636,32.705989844639035,30.129191650695258,31.272284337311664,31.62432900249152,28.705387995801903,26.86715537098206,26.77089181579825,25.09155316030575,23.07991218149314,21.772682349904844,23.22447683595515,22.060715980629837,22.31223529466519,23.290448947424316,24.118347719408778],[21.01812675972978,23.971592529325612,28.354390296915078,26.53216437908177,31.722849230956687,27.216168991665846,29.392188290843457,30.626900155884034,27.9176072769953,30.633328506186647,30.786437143500933,32.14846017055402,35.461004216624424,32.995298463094066,36.377036200953114,38.945651175111905,39.53076723072091,43.26917389341934,46.148161155439816,49.2756073760195,52.38237741209125,56.653567979433745,57.29872555132773,57.33107241364123,54.78033579329751,50.45082260233152,48.97698999097543,44.78786120711409,44.381987567354734,43.13729213575821,43.59134425934308,43.47909148718332,45.077386905680385,49.26590063889967,48.75971959195217,48.22188198407878,47.82015371371813,49.99241773357684,50.80652113911232,56.655723257323444,55.1243119559128,54.23768122274889,58.495040822404086,59.28879717912465,61.366277142404,61.908952681486184,65.59418739922303,64.04379313129428,61.45223765442827,65.61328054980126,66.07867935637819,65.72725407997453,66.35997580056659,60.91215724887318,63.61146338335026,67.37618204300236,63.95154829343861,61.48309660215313,66.02422881866225,67.50443458164298,62.42677388452887,62.544248408494646,59.575804498121876,61.12764444627126,60.10005710034287,56.432011217214175,52.49077877763039,48.97260671657487,45.98551828984713,42.40774741476959,41.798437024613406,42.57262475951624,44.37088282548065,48.960333977996825,48.34040198275933,54.11034679295196,54.622038096097306,56.40585154556756,56.7520475642549,59.08640118314257,57.245416128609854,57.91844053604196,54.83736780946905,57.09051851909837,55.142014876313795,52.44388169213181,53.825293762860824,53.110982161067646,52.56339772223907,53.45411842561674,50.598779998822174,51.797252441646314,47.9076021871389,45.47286153330459,41.42048695621025,39.705066859116535,36.24894800725166,39.528582798452426,37.33086436222443,37.352602251652534,42.04032847434229,41.72008261394794,45.431922132638306,44.19155691459919,48.858782467470284,44.72196436851353,47.2445161903628,47.48537812659211,43.285096591751305,42.173760516539026,37.83321377397106,38.959789436142394,34.935589503000394,36.87394082914901,36.0588780822864,37.48734900231376,39.97073914694677,41.4635811248849,44.071190097390954,41.32416827576503,38.48924691854779,35.64803730784084,35.24714782393638,33.71804119366486,31.565509688877842,35.562436648472236,33.92862181277256,38.33177271200327,40.801999715141434,45.3669693306318,45.45083965216196,49.141274992571965,51.08275792982882,51.1312037078096,48.30870097854691,44.81730734970266,42.994851748700285,41.54766618714717,40.047779244227755,42.593615808545316,44.09127746216578,48.398445754566445,46.67427856054728,44.72416577134561,47.47503351569111,44.82663529115877,42.28341229442368,40.377991124726776,39.8135546451789,35.711700573421986,36.21405225341824,32.8427048836183,35.82363284326569,31.58647455752383,33.335234755432225,36.76766809577843,36.79861070295331,38.92102068590498,40.5340898937898,42.21754909509528,43.94407940071685,46.147420750246695,46.328475954104206,50.40254304707699,51.8900029219988,50.085479214552365,52.60219388287433,54.35355435538681,51.99760356780132,48.44643264461357,48.710649037275886,46.460373610917905,49.3748458402573,49.62951771053695,49.47164668954414,48.90151955279124,46.734340763191994,51.203431877972335,52.71651768246649,53.22185695271236,53.502811379567795,49.251279614220095,54.15999531671565,56.97136597625897,54.66764091265806,57.395366099275186,56.084944105910225,61.08935502077819,60.43384087913377,60.99310133214718,61.191823540548306,59.11968115929332,57.92363103478563,55.31581186222001,54.77031667499997,54.18313855687896,49.39579107781081,49.620991316564194,46.16730799501064,44.18144936474366,45.504406746430526,43.215874072490955,40.29744826874989,40.69394717356719,41.59726036503354,37.31724872735875,35.3168909314732,37.74629612768329,37.56609148616483,32.163247920765976,32.5526195742153,33.68560431211832,30.308295164434682,27.786316778726754,30.47967809764587,32.31333344254034,35.48067653670967,38.40409825847006,39.22580977810604,40.81360313126326,46.22023000870616,48.15484006923574,51.05067474179693,51.58442115708652,51.87560534951135,54.6699237020844,52.97877278913389,57.52012276347585,56.19498425556408,50.94335433361715,54.16747250408884,57.70226158643043,53.76002845946652,52.251640006001594,56.08221694420578,55.90765130525521,51.58007018943481,52.172037216991306,47.834879592589424,50.1154873183257,52.26930045841904,49.93174632116765,51.38857935274436,52.07784630018654,50.09500238377064,47.57516019869177,46.924471518351595,46.27515730271344,42.646838536219526,41.65518403818021,41.38613941578204,38.67215322559448,36.777693370223965,40.14643096781131,38.52424613281065,33.82862739839243,36.21082730138847,39.614674895693035,40.39445537888933,44.107086275703715,44.859071196079846,48.670632210470224,45.92286045929597,41.98139006782096,46.70817118535418,47.48173874654888,44.16671161536777,44.807490724377104,50.21059084522782,47.946180567009975,44.04954683251846,47.79167462576157,51.45203607928118,48.79933023190257,45.56215151194311,40.94134426155516,44.0506283829724,39.80617532513912,38.801126166409375,34.55322153271095,34.94259435022322,30.661617164996418,30.952002893955502,34.028608331527785,37.39165819582368,38.881608027257016,39.96962022681905,37.37545530864965,40.817408699778674,37.56908624838575,34.80077957703124,36.3721756846696,36.51440097547969,34.08328403589763,31.974109876364878,31.330885507825155,29.98148503832922,28.49353671267348,26.41599380188746,27.342526126910926,26.133672607014493,26.3647437302241,27.328160148144708,27.901429473734563],[16.852661282661057,20.036917780862847,24.446581793208967,23.480547825821695,28.37137238464097,23.470189256752764,25.95811140586859,26.747116913735066,24.60922802724652,27.983371742343486,28.269220235713597,29.04329542172112,32.697776534654615,30.93517790064954,34.2347039775693,36.465993105500175,37.364724832366335,41.37967896152678,44.74727175232825,47.43460017679743,50.868669225279014,54.929158489795256,55.931328589683275,56.08185240816901,53.20707398071823,49.0015775057518,47.096859451590554,42.81718872083178,42.1170671412087,40.42307165015213,41.35037613134482,40.52169690267938,42.173977913761895,46.61902230275208,45.97964894118865,45.740910703497235,44.83956614011466,47.45756634809434,48.27155521271538,53.869774106968606,52.83770786424457,52.1667947416616,56.286552724014165,57.22488910629397,59.627355654977876,60.265474089851985,63.90038042788929,62.01346358901112,59.36324669462006,63.35528609716791,63.60193200275649,63.01595343028992,63.606457067614095,58.23634466301921,60.67950595691368,64.73133857385756,61.59998511276901,58.947871749318054,63.488528909466204,65.29695818415935,60.40146630346207,60.59819465309096,57.55436579132053,59.55597421479553,58.444538550471556,54.52003858922223,51.08093191879538,47.325753886162936,44.84950475599908,41.140324338301745,40.93141263116362,42.12998004260106,43.42040095541462,47.97934135354467,46.79088049998718,52.505993934179656,52.66999856652762,54.21704019352041,54.3332299151585,56.56679981946723,54.319480828871725,54.899448916284754,51.43537249454577,53.666166987723145,51.98728556194724,49.36760690223102,51.14060271118137,50.11714572813302,50.13703696125817,50.875154008509,48.41229153977187,49.91591326661528,45.950819248212426,43.197354843646984,39.09730349538137,37.599481184786455,34.124473869926675,36.65969748808202,34.102340238929465,33.47342852754399,38.42471174998254,37.5232830725758,41.60776484047012,39.99284545365263,44.70320724347861,40.6012970746278,42.827136577907574,43.22279115364421,39.02929820472946,37.80484708923848,33.67885158018666,35.25951439312384,31.45590693124016,33.92661528694564,33.57884639860742,35.419161555187166,38.110459910037676,40.0068874548357,42.94331860382543,39.8314581142945,37.246757562190226,34.106052241668905,33.8374357945977,31.804376062894136,29.12507507236758,32.86600760812444,30.4219038685329,34.90132071562686,37.09816757642761,41.505590667277275,41.779917881503685,45.18425918414763,47.45696598856033,47.264158210607455,44.91181270409034,41.55822252978071,39.97649183858943,38.91904189069211,37.88882872824281,40.34660000754621,42.53872915967201,46.88009622912078,45.002740951007944,42.70691780133603,45.2446124594503,42.37656759092717,39.807839350112324,37.48044440378292,36.47095890247635,32.232371681417874,32.13617595289107,28.718036008386395,31.227169184303325,26.872199710167045,29.12275546317799,32.6050148104258,33.03556265180438,34.860159403561426,36.9848448772508,38.429175796100076,40.68758730014413,43.17005737950261,43.72761997472454,47.59791755599309,49.19679020775569,47.75659767468886,49.90785144774003,51.95639784568784,49.3995352139085,45.98322823363236,45.905831700492584,43.7348616476602,46.351776603012055,46.390282371301964,46.118609375960496,45.20853935587292,43.27853557070878,47.40928321135992,49.21194838059117,49.46495190860193,50.10142720929811,45.53427379451526,50.47178131936132,53.41789403508001,51.355619672616314,54.31283667801127,53.29869037587281,58.31093308395567,57.94197846656154,58.221980164476875,58.38040798586528,56.04724866577271,54.79402395637209,52.06004274433163,51.32088467555751,50.66544188032295,45.94595990135472,45.816518509875564,42.30049334699595,40.022894596336656,41.11650809277404,38.56008599187441,35.89558005322505,36.45659320639729,36.975365039817326,32.63436018323617,31.243708167894635,33.38174936316117,32.65860670563746,27.55692953347701,28.21655341539405,29.051921773289532,25.406620735276384,23.426311741628986,26.31027644524916,28.415884070763116,31.17642934129985,34.81093805964831,35.167826986650795,36.49402820354137,41.923794788338654,43.84751056648037,46.68104016357391,46.87835817292929,47.18030776630745,49.85079519824526,48.11584451352072,52.780733092804816,51.62125874886389,46.466041762762515,49.63241129757232,53.37147902568487,49.632832285878365,48.11070502838686,51.98760972418769,52.12681387858616,47.879183343572386,48.47439499277861,43.871000732922596,45.8591821760001,47.78560357432931,45.188676948415754,46.45863745422435,46.895144091810735,44.970429694242,42.66229032151418,41.76149189206893,40.95247300736234,37.502127383432764,36.55157388185204,36.00567098493432,33.23424121674384,31.55769923049541,34.850994054386874,33.05496902906696,28.416455909497092,31.054167305253074,34.422496956985114,35.3985768182287,39.028942824876346,39.81179613070777,43.71737744579422,41.100661454651686,37.3065650213573,42.04843303518579,43.014556755775125,39.836572046798615,40.59739627424435,46.00029124093645,44.041381059388996,40.29037686516708,44.00497544742581,47.7161716771582,45.36161826952145,42.249547875285366,37.74140762319701,41.22901746277007,37.258153757798446,35.80569392070198,31.593430930042803,31.37419516217434,26.978390215723554,28.05066823233284,31.023871435009614,34.60908168188902,35.86583407633533,36.38070232704402,33.735764361763124,36.95409163402572,33.8864908772554,30.57239242543509,31.77612511308004,31.578213687929072,29.1733389508154,27.412528435758286,26.398621265894295,24.774949485885944,23.853219140071978,21.88839079157797,22.312711809127872,20.737495273697586,20.88612864358345,21.875386276959304,22.457763102396218],[20.274870089099583,23.313841595329503,27.278222500346452,26.35848493031162,30.64489661614144,25.07595488667463,27.003225743676413,27.05076480648869,24.520366783000046,27.82547067244804,27.440912764611248,27.804598287551325,32.079402963885514,30.381483428040593,33.01740841388916,35.35373310693417,36.84160433020705,40.6035819180374,44.24753663072143,46.8911203082472,50.334262755156566,54.43508522905189,55.54969479617138,56.03288312722035,53.194834497683374,48.961184874390376,47.1184109462342,42.774934954993526,41.61513011418832,39.65427638858825,39.8701147358556,39.12519715220585,40.25912652116867,44.70460882306299,44.524530479461355,44.65246809218485,43.926406079523666,47.00575854528206,48.18575844761044,53.84263707334929,53.05680506666985,51.956531222606884,55.98026263886728,57.27671452932501,59.75263253708136,60.71764681283049,64.23418635506377,62.14548442582922,59.86517427836889,63.92263029418085,63.80857697151689,63.20122178323269,63.506567597937114,58.19632857937604,60.213573730286214,64.26205888689303,61.23236072941047,58.22584955042767,62.615924578503645,64.70624466498086,59.717783541043346,59.49625586391994,56.22066463147607,58.31266165751615,57.56632237443467,53.60669086121739,50.134883139305074,46.22604919006522,43.922642753645896,39.943084951914805,39.94386844026389,40.89260520068836,41.90042899270365,46.61195149689491,45.25297773922147,50.68095585799655,51.219374765686865,52.423360254885075,52.87199094953227,55.41728562355403,53.25590319090644,54.272136903580865,50.74064270452093,53.39012168524121,51.946250440616495,48.95219009403509,50.50255298998835,49.06212669321853,49.022255059451986,49.17825943525555,46.69629461738997,47.83548316950561,43.83553812973434,41.00459735052903,37.211271882120364,35.32822862943093,32.23136293250234,34.73629467380148,32.421954512444685,31.60088424777301,36.963570940124,36.53041044304047,40.77220179291075,39.70047754717685,44.78021537360284,41.13374197285684,43.52317891353767,44.39744261605047,40.4442212912505,38.70682021400832,34.82398721727874,36.1283392060891,32.13609151730085,34.76007340122448,33.91976189752396,36.10712439935325,38.3983796599254,40.66444525687377,43.02123317655521,39.56206689697416,37.23122515080611,34.18152752484594,34.6144760664834,32.69552933210648,30.1179470280102,34.231796054659505,31.920276699145095,36.33775188702833,38.631508224306714,42.709044832112646,43.6303403294426,46.88157720644133,49.12287394514351,48.44071667038931,46.43382974844713,42.87198055304856,41.949089332803304,40.60828228745692,39.52290193958504,41.58923328156449,43.88250910188263,47.959002322309736,45.65567200299084,43.42290406066375,45.70725087356085,42.46315607191322,40.162141105323336,37.573722021994335,36.67307995558889,32.305229090340006,32.221300824911324,28.234622163189215,30.446327207472034,25.53601623110658,27.466376740926705,31.34487545387827,32.101826665735004,34.36366331701407,36.41637576311559,38.544367971363656,41.187206902724,43.232101141424856,44.40655483990588,47.98515348959348,50.13924862979344,49.13601659701758,51.41475567529083,53.75781109297067,51.407554764702816,47.88141301664396,47.5933795694804,45.1174722552023,47.2982039334474,46.979692604371515,46.297734745538165,45.12674606320678,42.83252168244641,46.820076337952095,49.00954874853603,49.431687777575824,50.55509248096391,46.122202005673735,51.34285505617145,54.45851678539316,52.43330186708524,55.01953541289158,53.805349129821565,58.93590439139976,58.866260237862235,59.33042898638273,59.739860143182824,57.36108693147524,56.430049616047405,53.82224391391426,53.20394879081545,52.83332550247527,48.19242596287835,48.04072474147068,44.75256236068863,42.06341660905423,43.381384414238475,40.42699183383809,37.87160471301797,39.0179306595429,39.348715263118294,34.82387610846647,34.106419987048945,36.27095832980452,35.00448262973505,30.218706472417633,31.34824862187273,32.02854247333891,28.02429362379496,26.68158805913753,29.871991031453764,32.08717651993266,34.58445409646329,38.66056053607438,38.60267194981239,39.77876057407236,45.171108725408104,47.132418519461254,49.84551584482015,49.605361587577455,49.79068446036805,52.20198698487873,50.1989200969559,55.00206232370582,54.203930143529554,49.01466155610977,51.918863491805034,55.971641764759134,52.475527772509324,50.73018167073354,54.48390541227652,55.098306851192596,50.93636797478408,51.109116333488224,46.52086716426894,47.913354230151974,49.79894237250176,47.150833057473875,47.98499090702763,48.25081345088055,46.01873180806982,44.142139561802225,43.29546130527163,41.965863920934275,38.64752205990502,38.22085445106449,37.34460233269021,34.381772677850115,33.28657028421777,36.66306624125609,34.55064026102566,30.099660709241245,33.301813134213276,36.598205572377616,37.854746362805955,41.26163412668241,41.88967486633344,45.98202265479108,43.71407378027218,39.98350790135972,44.59502318657544,45.93645889950458,42.929560685568354,43.54969072590831,49.040668858666514,47.487161073742975,43.722454195516846,47.21900989485746,51.13710391527884,49.08689000535247,45.97616002209844,41.511772161846324,45.29858524508612,41.4570989477151,39.95414768997869,35.63358189233201,34.98028379442879,30.421307976061968,31.928030616689643,34.680044858644635,38.387999054777104,39.30578021155948,39.531872965641604,36.424404428313004,39.27031457197659,35.93647293697098,32.67097882512888,33.2097309937163,32.95360482625262,29.927403571572956,28.884122287459736,28.142209553743108,25.824768445964683,24.862467736097695,23.938757362314632,24.33930936164899,22.243462483388754,22.066805425153554,22.79881380388727,23.20150677822813],[23.297771862362872,26.551826881842267,30.845367433478916,29.993887050163003,34.5920618594237,29.242960307872945,31.322314210102206,31.488444548270447,28.967538790053624,32.188030528787934,31.76205624014844,32.18707384750125,36.4644685679195,34.61126256692812,37.21056091957689,39.64178667611985,41.11087632245013,44.78562538118276,48.30723952990003,51.084623300348156,54.43454728575683,58.604486564658146,59.61807756436515,60.07764595398347,57.33856487831438,53.06107416700518,51.3399141345669,47.013532473511326,45.91350464929556,44.023691058290524,44.042375498506736,43.44819178554008,44.453665019712936,48.85239018370564,48.805563663339875,48.94249910842118,48.31939635572975,51.36534383279857,52.55545114649079,58.25574320519538,57.37432655163534,56.229580550992935,60.28640447719567,61.55369393845514,63.947273296635736,64.87418342705125,68.40981721040292,66.41424142790441,64.12815914158612,68.21814904319059,68.17018785821455,67.59791537133057,67.91844383085575,62.59354952259517,64.63551286719266,68.64491328090217,65.56652384618266,62.56896400534178,66.94259413004495,68.99377263365055,63.954398449857955,63.65871136720533,60.362628901086026,62.34249237336805,61.67931240180779,57.78749134581714,54.15849067305246,50.301210725977974,47.847591521327594,43.87162150064206,43.751776672150456,44.48043585779352,45.647975145216556,50.40721363328147,49.216068515014406,54.5875856310038,55.31919654069214,56.50215370790724,57.08056987505806,59.70224422455507,57.618061182529196,58.694894174959124,55.186542460648795,57.85835325517498,56.40020777865291,53.393194712202686,54.878103618099146,53.43625485961114,53.29613761592963,53.366768140809356,50.79881910778244,51.754042698332086,47.76793906527593,44.997796831217,41.31261920288595,39.26335482652518,36.287748894501505,38.93569816619937,36.72877448992253,35.86166482097268,41.320658645457584,40.921500975512124,45.211337468282046,44.133490555853605,49.207299918017966,45.52207307684136,47.82289334845119,48.62550259110983,44.60434484014024,42.9810150287163,39.088362676439,40.49803381107734,36.53355450527327,39.09961650534577,38.24030853211924,40.311234940973996,42.590117098549996,44.71806056590223,47.00231331776672,43.654887647828325,41.23818653823607,38.275323403962304,38.6191219722069,36.82224247633573,34.33626654798628,38.43572538739036,36.141286064728355,40.584532700550504,42.84278455895128,47.000121063884706,47.74000708474102,51.00665655812474,53.3040711138615,52.73751679887817,50.66889318166089,47.15634145141297,46.026835535753904,44.73674866432957,43.58641003571257,45.76616698636202,47.87938998115597,51.998724632855414,49.78559366702763,47.63101024247769,49.991286473880265,46.80793240839482,44.494809435312604,41.986466055252514,41.12207533230214,36.765781873570496,36.664869450844954,32.689737683346095,34.78321125132514,29.754299369506448,31.754667676867307,35.7143601776303,36.5470383551544,38.81673209477696,40.88343536222515,43.00402597828682,45.60850049026082,47.660995935366216,48.73823942698885,52.37834691480048,54.44970714400543,53.31125297656799,55.61563763143822,57.84494192971164,55.45541601053992,51.94540975191951,51.75717578045029,49.34577708024346,51.6449138102986,51.39360325107086,50.75323059720916,49.596409518549066,47.298281398255185,51.27408100821489,53.48012923997712,53.896920471339655,54.99281499330431,50.54055014969216,55.71896691301957,58.80905742814883,56.77746783038314,59.416226337120015,58.19160017509592,63.30878154486463,63.17009734730678,63.640616227950204,64.00356218081181,61.65196626818915,60.63843372235529,57.99094906823037,57.32264399653696,56.82858671086674,52.158024936177924,51.96474555806276,48.541182757778614,45.99398644826686,47.08628163733633,44.2316028281968,41.756663297743465,42.61253230195519,42.835103253938,38.43755453427726,37.57198715495306,39.504548240847896,38.240521832699656,33.53919499308375,34.37073662096989,34.83023531297696,31.03313004132223,29.58355082632847,32.312248899820574,34.68765047527327,36.9077724682931,41.11994203055536,41.3405831874562,42.3381406926573,47.757828868145964,49.3815880784884,52.35360343316752,52.363813235916034,52.81835452829711,55.36973727491202,53.61938797845455,58.40271033293908,57.416303365766616,52.40362500381058,55.47599958053043,59.39402116861743,55.82920723829438,54.2823372034005,58.14049727791348,58.51608198277459,54.32295079477628,54.819498575395876,50.1453019712637,51.79080073263429,53.58533313695088,50.80557023743615,51.744252405719045,51.84070613227475,49.83541820635379,47.95610579928391,46.82398532892634,45.58962881142257,42.43925218422738,41.772673581356266,40.71320048922506,37.807607287064876,36.67709295517269,39.73361513405807,37.49756934372452,33.11106542469977,36.10772303237158,39.22191720635413,40.62708667348118,44.17845304611879,45.11622347094971,49.09114023786608,46.5394211959479,43.07483506590198,47.82459380772109,48.89001812139416,45.84192599497892,46.78011918559933,52.11557069267051,50.27324401035959,46.70590283934125,50.426135087284294,54.09644538115244,51.82541814923242,48.820365561991224,44.38042836715634,47.86962104850032,43.94775398996323,42.32484928144748,38.26808009373867,37.93115693324605,33.5427764928207,34.813597811115535,37.767791568373426,41.379552289067654,42.57631847304264,42.918598854504964,40.13868977545597,43.143571110882746,39.96480983909425,36.574554469667476,37.261651025491986,36.8494274462837,34.044601870728535,32.948310887859684,31.89517852527743,29.678950349954388,29.04049320173523,27.774892860515223,27.838652245124678,25.626168049367035,25.37079352690037,26.057100468038634,26.258626217524043],[20.773422197109845,24.227014438493537,28.79719489706423,28.495632793300107,33.25911024225292,28.194513860801443,30.75660908551074,31.053897079252714,29.09748523370013,32.68320709117593,32.6581159293909,32.95864893778377,37.113202686738695,35.58923736864748,38.47097178826775,40.675238298902066,42.00459665650168,45.93885303071743,49.541136710253724,52.13085957495635,55.62845080782357,59.672379299019134,60.793315485245415,61.11949046880622,58.21249306909462,54.01478480316779,52.057740204815815,47.73228580747332,46.736041868957514,44.75342940777012,45.37161916933297,44.35262946449769,45.62560055134206,50.165085348790136,49.830611768791584,49.94973815985639,48.967001122874954,52.01099419996246,52.99895077722679,58.51773053962815,57.764376988625564,56.97391736409285,61.00800199575338,62.14607781586601,64.65436557941567,65.43437977110165,69.01050894786188,66.9700951655052,64.44097768027606,68.39569438679682,68.44755312988597,67.762378534139,68.22257876526716,62.915708537474,65.04948375270234,69.21474752502027,66.24150121505828,63.34269610702594,67.79094482402685,69.86280656809066,64.97087704079739,64.93542372693211,61.720205652951165,63.87552830402477,62.983440452902926,58.986695078257384,55.61817022625849,51.7311790099678,49.42700827191924,45.53122636549601,45.48192328753398,46.51649448166974,47.609032718019805,52.28027550034511,50.911558103897946,56.39414463429008,56.773340708098885,58.00035691602189,58.297734639883416,60.70806136281638,58.35828571124488,59.15437326927884,55.46325577564528,57.89119636028295,56.46584073418215,53.717045628738965,55.536156465646556,54.139328187469864,54.340471504972555,54.61284743116609,52.26397488505547,53.543484820130125,49.53619565114911,46.63695251145726,42.79063587619851,41.02652884336687,37.873965376590874,40.13591914950891,37.61684355269625,36.42126000961585,41.865669407071074,40.86330859064161,45.317026301154016,43.71332281072568,48.59619284164037,44.692179223214374,46.664662871407046,47.274293259898435,43.128883958329176,41.76502782496546,37.91301716808185,39.781753055876344,36.093347900084574,38.855508353241554,38.52557103367049,40.59443654058912,43.19002121654002,45.28705249298779,48.044632237152655,44.729615866372654,42.291911945428204,39.153499050718146,39.16222531516493,37.080527971034726,34.30120599617899,38.01427378272357,35.2041392497459,39.68604104620778,41.6897652737013,45.92487409554005,46.351244705159885,49.504026834356836,52.03467843598694,51.640383216319705,49.659873147011325,46.389488834845565,44.97394634101881,44.099133430347386,43.234065035179086,45.60286623092453,47.977849444100656,52.264503523260935,50.24317403201308,47.892371719528164,50.28737833641554,47.21542431655968,44.74690893966811,42.16990665673441,40.99880809277512,36.656292128451625,36.17053600117247,32.478037965710556,34.353252791493404,29.48178056547228,32.001554276266155,35.819074600333195,36.76810031935212,38.62052802226958,41.043137665911814,42.64548327879282,45.34531035788941,47.79616819835184,48.7204468730973,52.4091221043461,54.20234053547067,52.98663312908902,55.00349980758228,57.18726834572304,54.556887455136895,51.21302384667304,50.98211791326492,48.82644377027647,51.22258578564529,51.06232161746956,50.594911845594886,49.37908273799993,47.430670060783406,51.258430737454354,53.43444177244173,53.59767227012727,54.632052017890324,49.92057784973317,54.92152050331011,57.977847274898544,56.07983749217736,59.07642378294004,58.143534636020945,63.1806910220202,63.01020345279578,63.21169185603086,63.387880027647576,60.92125925171674,59.662869573354875,56.864147256063326,55.990957517155415,55.24492541551104,50.59259834285228,50.1735615234989,46.55136441450239,44.131012775894455,44.83781432129911,42.0951170571174,39.79176582181668,40.29494200649377,40.30905263683875,36.083128176997135,35.20665854387433,36.78721124255477,35.460693565569,30.919337178078145,31.51588899383007,31.721405464078483,28.107372521878055,26.68997008690537,29.0560180737628,31.601893676070603,33.490568612407074,37.950578550792336,38.243972570943086,39.040089436822456,44.45661748209819,45.854809932793614,48.975112449652144,49.1339524646588,49.796169805102224,52.46586668029339,50.97126622908327,55.72397702652235,54.554537210460225,49.74332999543003,52.985856548778784,56.771961074133266,53.19066791201876,51.86674716155809,55.84662125579746,56.03677198188323,51.863022389385115,52.74737250699228,47.893798047953744,49.78611899463291,51.40160375755802,48.43597537290462,49.5340253523063,49.47436652441307,47.7930326725742,45.832316185696094,44.373745063958864,43.364956076466235,40.36512692996901,39.33824591297935,38.17791122181857,35.38367706723612,34.10026097973385,36.86065349726326,34.62037396609677,30.25775154056586,32.99699518924885,35.9905884600505,37.45154342429373,41.11203124569654,42.308642181766096,46.15544187851906,43.37274786870463,40.14522674823793,45.00181676419239,45.83775891171105,42.79308157195207,44.041480650914586,49.20168355739372,47.19809320247869,43.86891496525605,47.76887748845791,51.199180695816665,48.85286247521148,46.00865844733829,41.677589247078586,45.03919027889439,41.221259377552954,39.306308808675716,35.53697148465069,35.22571978241628,31.0260497311649,32.405528442967274,35.459978917522335,39.03494010728483,40.397059435243285,40.59211945958983,38.22166187933511,41.322465986191354,38.50361207899188,34.72584875436541,35.58039297370359,34.90130786164596,32.55889551443221,31.331331933769807,29.757540835298148,27.776585374075246,27.713381061556465,25.9071224634501,25.458635611117874,23.208142549406084,22.99597396978105,23.751401464080544,23.903936475424356],[21.371817869103253,24.941233944890573,29.52773634513317,30.03359431850071,34.57053399333719,29.509597176033513,32.306328624416196,32.25111402628341,30.82352213531102,34.7663430283736,34.77953505136571,34.61261924632928,38.99714329158556,37.95673144251969,40.67101990932513,42.63853347743633,44.21040596718467,48.24659983978823,52.120652284026896,54.427765116528015,58.09492703430941,61.98902675900396,63.32195522643695,63.72543374278778,60.64857388400922,56.55124116241206,54.35427490806991,50.01287646991917,48.82069330888062,46.535071136556894,47.37316013090272,45.875052340695746,47.061829571710305,51.74090308642433,51.40762196514278,51.796992125863,50.482500621046015,53.8606001915145,54.85426576996758,60.141867334402356,59.75022658092995,59.10476931010313,63.01613314614249,64.25077007553969,66.94980476672217,67.7771070222558,71.30424847525683,69.0660106205095,66.50516264390107,70.31536746409505,70.22598472491727,69.37440368974899,69.80115438260862,64.58813657362974,66.49728498915952,70.8534823893311,68.11594812121396,65.08010400395324,69.4851298436522,71.80229626585127,67.05065924470227,67.02147353663477,63.74403195707759,66.18193715285345,65.289929695457,61.15474805647504,58.107213494365226,54.09379124050461,52.115863720769866,48.15137215063038,48.33562106407281,49.533515895045106,50.32876062111755,54.97359201718823,53.27344726179801,58.623846450468086,58.85738182177304,59.85371436138429,60.055268810813956,62.42476296330777,59.80230093627461,60.56628933877475,56.58843476399165,59.00261688403239,57.82194831746389,55.14924867081411,57.23251769128063,55.570267256003504,56.17972580129235,56.24219071674274,54.183974871499935,55.56804506670684,51.54198457735875,48.444624446076986,44.690962428013414,43.00002743600755,39.97569981563141,41.68100604611442,38.98464284236569,37.18147210861405,42.86809917922334,41.40301096820655,46.173833971302095,44.27360734366566,49.13414745040112,45.31142251344936,46.908047356103935,47.61063797643006,43.50205348114251,42.1329264630879,38.5746668862272,40.877759226101475,37.479529743778464,40.58644032194558,40.60749980315539,42.89324014376951,45.59046844286387,47.88520149970094,50.80521672633078,47.31432839910709,45.045909581084466,41.78573794738038,41.85226119818336,39.515417473815006,36.463652631473636,39.889389657638354,36.499067035224066,40.94707074170682,42.64224137850787,46.705259517289825,47.16815375983668,50.015823610591475,52.8529457764333,52.32875127789174,50.75619482729777,47.69123168600051,46.36585540453227,45.862446245901594,45.34185324384802,47.674418981960685,50.43930111950884,54.732435636620316,52.669962557243956,50.12864851647813,52.37236994239676,49.193089482461836,46.73666536119369,43.90270737953448,42.409393458991836,38.04279558405106,37.02827300851118,33.361998652876885,34.622828972930286,29.623201447125286,32.58814449935114,36.456046023450234,37.830821938280835,39.40824984588546,42.24947255375407,43.63969216063262,46.744873133109415,49.388708662313995,50.560712073340866,54.073444815273746,55.892600010632826,54.899840677649394,56.610775831503354,58.936981735882014,56.13910828818422,52.959226968059376,52.51901544794474,50.50261357092892,52.6954840788665,52.39214092328349,51.851246012643166,50.353230773406274,48.6243985373525,52.08802690962873,54.52351285666038,54.460267675367334,55.79225017508255,50.84877920726702,55.78558900628411,58.91110650912455,57.24241845537264,60.4410607156482,59.76024864208086,64.75566070511707,64.77308872610216,64.74542788413582,64.85292579089946,62.201530707937735,60.846838816246255,57.939491730372346,56.86726599874787,55.97357388327413,51.42788471502252,50.65967067328872,46.935216517310536,44.402408385341275,44.68642098540741,41.81639986929665,39.89107319908978,40.304403104360105,39.8362634049235,35.77723330581307,35.42003987785409,36.45279866384797,34.58935986977703,30.627966842646245,31.208351860942486,30.865843121732297,27.31755069016799,26.48672558649566,28.463329379163525,31.338982675431588,32.44232561495638,37.62922884832231,37.715120282015405,38.04364611072696,43.38532514057688,44.40767275925944,47.67082381423715,47.71380738214379,48.632732331705995,51.264773763060816,49.97690125776486,54.77500212292227,53.61749612053814,49.135963623125036,52.41913581442792,56.23630303557803,52.84364689414709,51.699978274135546,55.754337478727905,56.033495372850474,51.971463429759986,53.11844326779496,48.025393442043146,49.815400538605836,51.106774049248074,47.81464394894092,48.78925463450413,48.31404323174721,46.91265856879146,45.214221846350576,43.2667692683285,42.174885294348414,39.58483220286497,38.42570681161169,36.80065229788316,34.05920901830007,33.05519274218999,35.33376730062737,32.80717199228382,28.730878913402076,31.484847560573527,34.15295525382344,35.96448083983176,39.58691301093515,41.092114957534456,44.856259076082296,41.996175818768506,39.258310988703656,44.149851662835445,44.91190582149816,42.03422938785629,43.66897075858953,48.586922871235025,46.656135062940386,43.717857308016505,47.710097030230706,50.90537247760781,48.68537369878378,46.10890120893827,42.002018448810766,45.367138273239874,41.81534312793511,39.43495257397309,36.05517211294174,35.47260468853473,31.48186871570753,33.31119121291993,36.3317783373397,39.91183413744927,41.26572195406402,41.03490703475164,38.94994040580916,41.88993280580198,39.4235626851219,35.15386966334983,35.73006147001725,34.59103918617282,32.50719800035918,31.673379703566656,29.529838326216797,27.392208275840975,28.199605505781246,26.39590892833378,25.134271481449517,22.433685992718328,21.994846710770123,22.61652304548303,22.498227875136326],[18.921906218912596,22.553977332519317,27.317277125190294,28.292240365029443,32.93911703062956,28.358260457739764,31.563419593430808,31.763219164217876,30.861257750905942,34.991030229801,35.42879477368417,35.28542806991413,39.3651189807982,38.550715520864046,41.578722583331235,43.347166324195086,44.66159943544652,48.901674603722945,52.739859629529406,54.90473829214962,58.653342480892036,62.42462829657788,63.803870403046844,64.03291287470736,60.839207665556344,56.83342141551227,54.46528362602799,50.17369787562849,49.17201808945786,46.90930497989416,48.33674409570904,46.545348796028485,48.053070649882585,52.79187322745221,52.132086063713764,52.40329994679791,50.80509308949113,54.033842944322075,54.787318966074324,59.894140422981344,59.53771858383315,59.25476633347403,63.15021180825036,64.19886682150151,66.95197482186373,67.59479644146094,71.16185455008261,68.94547486457006,66.13375693433424,69.81183032352082,69.87898370487532,68.95747335025183,69.55174299707906,64.36054248865928,66.43649331737377,70.88456810766101,68.20622970473057,65.3474214773408,69.82696124498304,72.07319613647515,67.47125440393906,67.73610186362112,64.59301598734673,67.12100383327689,65.9736134395268,61.79304045827218,58.9560312264683,54.98095280471976,53.079953708832974,49.26368084145731,49.449570296330954,50.915090119859634,51.71753122035614,56.23574083098707,54.46330583455965,59.94517724968497,59.82819023153741,60.94841717023199,60.86064429650678,62.985027207323945,60.17039950480124,60.613637066592396,56.553913905950814,58.66786882026616,57.45449457666614,55.07903860120237,57.44050378236044,55.93504854104853,56.78997330018465,57.156622598718116,55.261478086823345,56.96475073883681,52.95550717643615,49.81359228393348,45.88802216192039,44.50804017780522,41.2841191650724,42.737108180144084,39.79880539799478,37.877846690442,43.3545158897292,41.37195601612734,46.15027865984003,43.75546190658134,48.3285519831395,44.26854445303483,45.568587277378185,45.999428121713485,41.78447925910047,40.752922023205,37.215279260881104,39.89412759666667,36.79791873910348,39.967077703395354,40.48042952724241,42.66364314614261,45.64021505630366,47.81557064114318,51.172768061329094,47.807891788462356,45.49641135610014,42.12793969298917,41.817109936725835,39.28014191306763,36.042723580214776,39.04327120873762,35.28605094027542,39.701732971181116,41.15570478585501,45.30240393312055,45.37775379428589,48.14336353770433,51.13806815704798,50.860792707354676,49.2896108510779,46.4848622553341,44.82303022140487,44.70224901809491,44.421192068461835,46.942544984748054,49.86103501995936,54.288310274930765,52.47023057506798,49.79269944979373,52.09331084997778,49.10695038847458,46.50392188044553,43.711189419946216,41.99205205400725,37.72981859319352,36.454760082052985,33.203007061434555,34.382192323408646,29.76777333112743,33.09596142325672,36.67974157060668,38.01098186743327,39.162749409474365,42.22874387348026,43.06108226104281,46.1040885390671,49.111706125736646,50.02042837915238,53.60304723648934,55.076715135437745,53.9453661425846,55.40019257396311,57.61723559774458,54.615911837416355,51.610877279483695,51.18087809256066,49.44076225315989,51.77732102779621,51.625213136105174,51.31417420741977,49.85612848506241,48.484105046672504,51.85820058639678,54.14477421988973,53.85896271594665,55.009536695412635,49.88695138638453,54.584770121567274,57.62157612280312,56.05355484561692,59.57864121191332,59.16210065970911,64.0420948731553,63.972762882839206,63.70052284949467,63.61119238987975,60.900577662362046,59.29812517792688,56.26938635476508,55.02552480243372,53.88850584027349,49.37815628707462,48.447020662727795,44.55495999326696,42.234342208538536,42.165750312035286,39.50447385924291,37.71048627816061,37.71114909370048,37.12113810998404,33.29164921103771,32.797247161189226,33.51047339658333,31.73409128343853,27.90263053405276,28.176432052187835,27.640396306779085,24.38857596130447,23.496210153247905,25.039591291887135,28.013172128783342,28.848998386987372,34.13120446545765,34.33957474955361,34.52966966841866,39.84814024817606,40.6888183667156,44.0787616356506,44.331042339947075,45.421853581664834,48.19441993949999,47.165860824063834,51.88304273996469,50.505610229648426,46.20193609600734,49.65614953981552,53.28234643988512,49.838637410427715,48.917929519523966,53.06810757913572,53.10413406880535,49.06465980604615,50.587058120435735,45.38977166548642,47.48578081000476,48.64437459470651,45.25119596710659,46.45264050278832,45.9238384676541,44.84839776543078,42.97962945510646,40.80199715017596,40.039006239101944,37.53902998228485,35.97343762148852,34.387387898236824,31.820225914829727,30.54178666870156,32.539490374592695,30.13417166001982,26.070723763900403,28.419138927345887,30.991816840658263,32.7542761138963,36.49470897141731,38.222235695595295,41.81828113731261,38.713575867303135,36.15847446687584,41.126383519927764,41.622869886951975,38.72890819369021,40.624581688478955,45.35421609941107,43.231445470169234,40.50593012790365,44.64904641233039,47.59954520353926,45.28277074523237,42.85336270653058,38.867857658288195,42.06196843822401,38.61888988730587,36.01432060079366,32.938521672762874,32.43701608160805,28.71223981974852,30.554220982588067,33.630865206916155,37.10819540614333,38.62776786430449,38.31708465241675,36.680912715317014,39.72665884990651,37.63696853202482,33.11152955818468,33.95912580265802,32.64407271735161,31.11518783590842,30.026145476350877,27.43801014362522,25.719364655370843,26.982852519599692,24.569801939640126,22.887414799120688,20.347046996426428,20.050451148239983,20.768173592083354,20.666664404933165],[22.722018363815664,26.365196983944454,31.219424355834935,32.17778670445734,36.96595317880997,32.49378933797983,35.7004854688967,35.92089429610071,34.919050700886515,38.97773000208851,39.3088940933614,39.187398792123076,43.35207604336915,42.411035226634915,45.37299289401591,47.23366061692852,48.59580705598504,52.77056240052501,56.564076376076436,58.82663433085286,62.52493371880431,66.3574362166204,67.68061256367338,67.92026604549108,64.78850229700173,60.73807163628309,58.45257806238292,54.15371120605213,53.150848620094784,50.907235083570924,52.132535609302344,50.45043744456972,51.82314779102804,56.547330079283746,56.02129850222619,56.33402578178609,54.8203219926854,58.077051204940865,58.870672620034405,64.02013864305404,63.61845484001242,63.27235384089211,67.19071984787776,68.24835324669436,70.95514882954059,71.59322751779081,75.16969631622662,73.00036074329094,70.20677203734778,73.90964907280448,73.9944536263499,73.09599510657256,73.6810245483568,68.48143540077707,70.53889283522653,74.9700484428013,72.26854945174979,69.37939988208173,73.84198034861662,76.09519954562012,71.44398732554107,71.62414173113855,68.43843373680645,70.90801586303617,69.84550641655385,65.6957879114055,62.74149535063343,58.77331246782595,56.77669991593146,52.920649402731556,53.04383820125771,54.346135673840976,55.236631341567985,59.82166242178087,58.13842730490627,63.574946497155075,63.621944548497844,64.69640299873015,64.72616518631095,66.93502223510932,64.17050266930717,64.69346636035345,60.63250794070981,62.80035740508728,61.600604954309915,59.18246163133926,61.48528252626655,59.93527070062452,60.721748353748346,60.97395874072756,59.01532951069591,60.565416141954046,56.54717645631738,53.42643163902532,49.58503921621755,48.04726210507066,44.91800499597835,46.487075614621766,43.63922099499421,41.678339641459324,47.275032262008445,45.37292844697339,50.199830168583865,47.85966712822471,52.4545779900195,48.41892701326226,49.66257947305755,50.078089285042935,45.85609615749587,44.86931146336157,41.36269367631654,44.066582050356644,40.959461941916715,44.089144714742524,44.52332341503431,46.6595144835862,49.5975760094831,51.714162926824045,54.9819274295114,51.651470348319364,49.28967885333965,45.97450691887725,45.66711343364651,43.22405114829212,40.064561860687334,43.11578202936156,39.418253339511345,43.83598340135238,45.27509099944454,49.43770768606156,49.428351779445045,52.175701691070465,55.20652635178503,54.97886621732644,53.39892345239592,50.62044840276103,48.86178058650565,48.752910126839176,48.412924834028864,50.984041874556745,53.78142795260557,58.228174479410605,56.437447898642645,53.81576654476915,56.1552061548148,53.17329633304772,50.57918446926654,47.816926421197174,46.14083606120822,41.867609646372145,40.610063291495635,37.29597357765445,38.390657757102645,33.639164542831416,36.941648345089185,40.63269119414187,42.03798087988206,43.258437991699644,46.31479025703074,47.220736333239536,50.266205620720214,53.23992067699912,54.1324538443223,57.739913970491195,59.19901428202335,58.002851266375856,59.479718292024614,61.6321387171062,58.61338153080972,55.62047620493172,55.24925217876431,53.53646210537262,55.924419774555965,55.79144007440822,55.47497158684321,54.001419353594265,52.59140510090987,55.94533647686096,58.283064481570634,58.00412737585941,59.17919657257494,54.054489209297735,58.73574529564377,61.762490579361156,60.20070704816913,63.7413470474298,63.30829704341313,68.18574062146163,68.09174497204198,67.83067064244499,67.71855906490819,65.02257028724955,63.37666961037719,60.32701857571284,59.04871099257443,57.82958428192054,53.32794289539045,52.3552642250372,48.39369843390998,46.17288088198802,45.928608218712704,43.3454552390527,41.64982876744622,41.461780614056984,40.7649404261252,37.09092996176946,36.539664787527045,37.04168993151999,35.24968066187095,31.613033233594685,31.66558669515214,30.924202141532977,27.937166842391537,27.037705885496823,28.127062862529346,31.17304300001628,31.665427371371408,37.01900372701701,37.443515139782285,37.42358610382282,42.6585496064496,43.12317401026804,46.72574932023296,47.18407312797085,48.522026829917024,51.37052982782677,50.578120324963834,55.242757379178535,53.73100928052019,49.64989554419358,53.202922263511745,56.69978567222706,53.254291663452044,52.51111463698093,56.710418749010245,56.57721251081289,52.55768571348757,54.3275578036392,49.091956075945475,51.334622146341225,52.392209535311615,48.89855749164548,50.14131299972034,49.44018937224929,48.55968706169331,46.74962426796048,44.339526400015195,43.62379480509724,41.32289552095339,39.622868873925995,37.86581879598215,35.3849092400066,34.16263339938746,35.8241590773399,33.32827640532076,29.469344800796684,31.604054300431883,33.90699319837013,35.80511235104559,39.58288651157611,41.569463335056305,45.01111550879628,41.709675505464496,39.47845083539071,44.48256914926544,44.741545870911835,41.87574014266668,44.040245782154905,48.56356886650521,46.233219892968144,43.74621769945386,48.02801886973167,50.72111137631475,48.25822961787483,45.97167252817288,42.07417084865536,44.9752872004685,41.53188966180768,38.829624457646105,36.06320345903083,35.809870026519114,32.29461999435983,33.93499560644692,37.109726450127326,40.46809620139578,42.17927080155185,41.93993811802115,40.55334776369559,43.66629136904854,41.68589991946154,37.125499561090955,38.016013569813175,36.601392069684955,35.190566198599264,34.13926082234468,31.41451142926317,29.732928297696297,31.145596584069395,28.65762674809877,26.830289674124405,24.242102213382918,23.818383670852796,24.415657432163698,24.13544746702507],[22.97468832599887,26.574929773076207,31.404224146945392,31.53941770476145,36.490363060540005,31.76216306493218,34.63316156173223,35.00108212619321,33.36842754809081,37.09001756237767,37.19977621415327,37.41301490823663,41.55458187641924,40.14545604870468,43.08845626716487,45.22171649675077,46.52150533318822,50.524082289863316,54.12509151240085,56.67452742979102,60.2023230786657,64.21194153741423,65.34643551126808,65.60758712051629,62.66493317519712,58.491967752288375,56.474463562732616,52.162295495539816,51.219493030478,49.19436852280073,49.97295419852811,48.79312575929083,50.07802241881111,54.671460914134386,54.3027890930907,54.46612818082536,53.3408406263659,56.41593075625751,57.320232131381125,62.7424113957264,62.04052698215115,61.407111794340764,65.43165561590645,66.50407078331277,69.03495569067108,69.72358912944067,73.32027368702522,71.29787500802706,68.64726833313928,72.53057496822987,72.6527253961993,71.918038575254,72.44992793308484,67.16084377520238,69.31653502542885,73.55600321187958,70.63920160560102,67.76954985203663,72.23244752260456,74.32814257671228,69.4933007299654,69.52493035030787,66.32069473624412,68.52626417917834,67.58896319415598,63.568087014790024,60.26101760569629,56.373570533203235,54.08841786905594,50.21535787160521,50.15646212199319,51.20303657667665,52.319383394468275,56.98332416170523,55.59301143287734,61.066518645869316,61.397553290090585,62.58999067002104,62.835682072557006,65.19750864023382,62.73535110543263,63.43897815829396,59.632912375634795,61.959727063220306,60.583764552036946,57.96080550154924,59.929139032619645,58.5061803325432,58.860656493248015,59.12682409255636,56.865188542580846,58.179063784428884,54.166840351897726,51.217386789652416,47.3890042310795,45.6451647995345,42.517165370240285,44.62307725285855,42.017826553933304,40.56004773660473,46.091354980288834,44.77929133820898,49.37865812703169,47.49308043980145,52.262960413751344,48.26107723119206,49.94496463840132,50.42304812417578,46.201644151443936,45.05027310396661,41.286097647726244,43.49443459577665,40.012421143792295,42.863446992345864,42.80583089524579,44.82693615330123,47.56263561226162,49.58168637124946,52.520800246863374,49.26814904774287,46.79517148465158,43.62297669851045,43.44229897607523,41.28397063113249,38.40894872972562,41.88056373649073,38.77786850001775,43.25816426125377,45.055947678906385,49.33187767502323,49.48182574932166,52.52088280818534,55.24637025144477,54.99972123263932,53.093597885818596,50.021208784672595,48.345243235539385,47.76819170291247,47.0482756716773,49.56764783658845,51.99330908330782,56.37636048181118,54.50317389102195,52.090974206040954,54.52459383034053,51.53063789774306,48.99231439375887,46.40153294867961,45.07172083598912,40.753718861400095,40.00903720923988,36.46529407902205,38.062549682743686,33.19003454427753,36.019238068298584,39.82436230155804,40.93787791714155,42.56901613225899,45.21508592736974,46.54823834372663,49.3228420350672,51.98309732199205,52.81097735152063,56.52743077555244,58.13274535501044,56.82738778990732,58.66632805481623,60.7619703714915,57.96591530581876,54.75597015390875,54.542933372329216,52.58715744199101,55.070029792588855,54.976346623140984,54.60617186941191,53.328284023373634,51.57519972172627,55.26022131087835,57.474063853968765,57.47791702984354,58.511338852379495,53.6393746929765,58.499897602251686,61.52417700302376,59.73006909313684,62.96193803787235,62.204275356811785,67.17785256390225,66.97293291635441,67.0130060788484,67.05036407262988,64.5245878448112,63.071372038149605,60.159575930172075,59.11861589818503,58.132743948270004,53.51092605332405,52.890073392392665,49.07349891630493,46.823068398495046,47.089714060581336,44.48302508741114,42.41001261931014,42.4991040919602,42.24351277148788,38.282568005228754,37.386956465210105,38.4937953805979,37.06706960856442,32.849188346962,33.079263784523135,32.87578078254627,29.618355192223895,28.27107864343619,29.938046330767342,32.70861643662764,34.00976484026696,38.772676017312136,39.29625001179589,39.740659533806266,45.0975752684901,45.99724030450175,49.42230394113716,49.85480565694398,50.88968636513333,53.709846434070236,52.601193221733006,57.2968120088109,55.88717028444859,51.416426187348094,54.86529999831146,58.45522259753856,54.86687506896669,53.85708070507158,57.965750969021094,57.88689335945878,53.74752233524399,55.12314751044805,50.105165307715254,52.28597101329724,53.67535956189595,50.47785810249574,51.71014338498443,51.369306371649046,50.08935895345099,48.143972078550526,46.23059886119729,45.407250042672544,42.70907708751973,41.30845503053134,39.892560806290724,37.248549122153314,35.925535664172706,38.15656538506151,35.80404156851461,31.637446599945864,34.01978471357103,36.688171454926504,38.33805418311801,42.11932937029545,43.74304749686472,47.372648754249774,44.24748249018925,41.4874012904918,46.463126149362616,46.930920517084154,43.91552258717808,45.639091200222786,50.49197565829097,48.195501371392055,45.25544921779264,49.409074192784786,52.44119977051171,49.916122550355155,47.31829190673156,43.15043603167418,46.1638945662815,42.42724573611663,40.1968736013988,36.9249306011954,36.838133946316454,32.97791090384304,34.28285366799425,37.48827893121688,40.92140610709789,42.56736077762871,42.70252700594323,40.85776340974752,44.0662950542351,41.616046261053604,37.52216084031759,38.50662527598723,37.52100836294208,35.62688190823882,34.38443941339762,32.277517420380995,30.48974613412431,31.04756559651066,28.808746432221206,27.7691179330854,25.402184501656002,25.10768301372728,25.789505386007537,25.714384615614954],[18.108883520729123,21.672432922943077,26.633067036716934,26.657586544143978,31.82739226932146,27.543094795237,30.669425054765895,31.521304839663056,30.12750259616078,33.84761650247411,34.425478523217684,34.93571387555339,38.581811456800324,37.172733599610865,40.57442049001992,42.59737743719159,43.46169413270037,47.64457781759403,51.06633966434795,53.5900472062718,57.12480373684473,61.06647621499246,62.149048927882724,62.178639014338614,59.186818461134145,55.06866682113942,52.97831079022991,48.731236075740185,48.10715060497012,46.282558013970416,47.63240573401459,46.38690427763053,48.115573744947476,52.693248730944745,51.92431028285772,51.78260539452103,50.52990341196462,53.2315733331678,53.867712829793334,59.22695490168801,58.35637623621016,58.039038647261194,62.11059809389384,62.92781362403698,65.4216569673236,65.89404816255447,69.55875869808116,67.6569842649752,64.75938120480096,68.5860515532839,68.94622509946073,68.22873153328781,68.95605328637608,63.637788365431206,66.11079797520534,70.33092839119792,67.34491350643938,64.7555050484764,69.32654686253775,71.19879765520945,66.45583100087471,66.82936337557989,63.8212383927181,65.98104935165331,64.73713973980728,60.73598139162258,57.51534357306752,53.73981244539029,51.39143330661039,47.73341882602371,47.57192572704029,48.89183337624632,50.14005442080665,54.65269070632712,53.33362968355085,59.04060414347936,59.01384635468453,60.49410759399522,60.440776041475566,62.53345432215039,60.017151258466484,60.37734455836831,56.6677945130186,58.675782747966366,57.10726628674187,54.75762821309825,56.87339225332776,55.79492162035944,56.18508263087719,56.94544774753023,54.70989147167301,56.36774360241053,52.38860352154676,49.50035031177188,45.398943761760286,44.012227621277226,40.5561145777641,42.67369231990781,39.8860282084638,38.69827625049516,43.81084819309477,42.23547118625487,46.61536002399942,44.403817304202924,48.88935445037315,44.59098127624857,46.25420647266273,46.40913362492739,42.06966486514927,41.237042874760455,37.2881722811228,39.56465630000058,36.203813157916144,38.909881280758,39.17149116388013,40.96988981131745,43.95171487429419,45.75292131681635,49.09508599195998,46.06459778060933,43.469003385671364,40.23048588675165,39.61320003288795,37.358928915986965,34.425307155577755,37.62010100338346,34.5076750407037,38.97089778503894,40.73945217642777,45.200889848515885,44.977278795593186,48.14448898272939,50.79908447108832,50.86331693941025,48.69314255228815,45.739570092140994,43.71039739396316,43.27015084406786,42.59912958166259,45.31518507577724,47.709776635811956,52.22040956057551,50.613098860162204,48.1516311021459,50.719886706730605,47.99080642253731,45.29047012588789,42.891079560014475,41.516887288322614,37.3293014870148,36.659442863921214,33.54575320091746,35.49368986435816,31.13416295680423,34.05985620129123,37.499270138449866,38.26662404924715,39.61374677640529,42.21990320693965,43.09242964720143,45.53931903890165,48.460588108309224,48.868980552875804,52.757033764126284,54.001539228353124,52.444529005478664,54.2076982790935,56.13264556834658,53.24682140939273,50.09807692100775,50.00688239580069,48.22680879188542,50.962032399136426,51.10363654777408,51.01540237050665,49.967626809869174,48.45322430181111,52.28237948310694,54.15624806294406,54.07815933059901,54.72758527995748,49.83127202060878,54.49718784963225,57.38902895230122,55.545436804376216,58.968738874775504,58.32599276393909,63.214724344592284,62.803585436977464,62.73696426087355,62.62887583099723,60.1530487363987,58.5376941641024,55.586682181280196,54.521866452814784,53.43197127830556,48.77756038750989,48.25029316697667,44.376687162419294,42.374475459824765,42.66908714658599,40.32814704733323,38.08200886634289,37.91366897304877,37.934833230321395,34.02632717361306,32.64545970875717,33.93006218723025,33.00166820730386,28.420996470959697,28.457390164212292,28.577402985880095,25.47160480165707,23.618282409835313,25.351223175391446,27.901973210444034,29.700338192450822,33.938229952973074,34.64127120028331,35.39271695424474,40.78976474495798,41.97132703668027,45.29033948507735,45.900808912114556,46.799498032289485,49.73635631691969,48.62690512109454,53.22002542803294,51.65673178992914,47.04206044761175,50.56977193976141,54.00108674466952,50.243851345570704,49.24759634271239,53.36670959180138,53.068812256724684,48.87151575193626,50.31955235622383,45.390636090194896,47.87135713053426,49.394641836616316,46.38344673780724,47.8932841518988,47.869511986229554,46.6253037019836,44.318604715311245,42.640988149974085,42.16948158571164,39.194005147327495,37.56789733954158,36.60583792254655,34.06765809062123,32.27422901180462,34.72250602067375,32.75153472013321,28.345045776760927,30.406619914036256,33.31786757152451,34.58624231933077,38.45939244963681,39.94368832374087,43.52128202654349,40.326989009703915,37.256314225525585,42.23720872666087,42.607760756901186,39.456750890461905,41.02586534494202,45.94521015709163,43.51018008604871,40.396476184436594,44.559377222889296,47.62836961210494,44.99038728802564,42.2852931144477,38.041178572573166,41.011075801927305,37.192824280298126,35.12835777747938,31.731932138646965,31.823352756217762,27.98105775629916,29.046340404841004,32.296770032173725,35.67877591409731,37.41378658055757,37.739616218861876,36.031251010348164,39.42166757368478,37.05739804242481,33.078003229942034,34.510028285260745,33.72622804430324,32.14848227882162,30.358985584408423,28.301106460566466,27.032370083847056,27.334621267100424,24.5291082552971,23.75537212909903,21.935501068857974,22.0140050887954,22.93472743902385,23.150130602866913],[21.216415019257134,24.75120764703937,29.866178148645517,30.155509710772577,35.55066817108724,31.798218993214537,35.16526168712302,36.227847239155636,35.05906206562004,38.7765322868784,39.50923859863045,40.07923823254447,43.59198947410239,42.16478353209401,45.69736474132537,47.70168484380245,48.41719375223192,52.63974696737564,55.939492135678236,58.49943710788904,61.99998496290056,65.93231149157629,66.94793667880082,66.84713593170814,63.87836324174631,59.77854920557331,57.70032800776284,53.50200638474031,53.037248545258905,51.28861235306718,52.7869396306487,51.5118796789351,53.30815548709794,57.892482367797086,57.05453424189184,56.851875173499096,55.53393712547388,58.118935498141184,58.62294689262252,63.9145863080831,62.9708689367876,62.82770832456479,66.9200208478564,67.59193418746129,70.03233948157256,70.34740455262394,74.04547890976879,72.25612161911121,69.20367218415772,72.96893234422167,73.49404253316315,72.78086371344101,73.63173317714364,68.31482599892722,70.91839177996971,75.15471400396666,72.15350638306602,69.68288548373577,74.28887946102914,76.07506379580998,71.37745311285686,71.86580122656478,68.9202723323499,71.0346759391702,69.70641994800634,65.7369850723826,62.49715890672178,58.78385431442128,56.34685891206731,52.76815677893972,52.50769694842362,53.803872436820726,55.18855287478076,59.67698886307929,58.45562744239802,64.20747186653199,64.13893674366273,65.67905820231279,65.56943291613103,67.58791919484513,65.02911609566,65.25317014988569,61.524477725393126,63.373161986313065,61.768623277827,59.58461107018167,61.79585702417274,60.81107981404476,61.248813190582354,62.11342824805166,59.89011126824383,61.57947602546639,57.605872132815925,54.731589909774556,50.6115902460909,49.24675686286721,45.767588327996165,47.881723387342134,45.051703453292035,43.776330772885395,48.87237408149312,47.07581729956924,51.48561117972019,49.024761374004704,53.32646253948494,48.88586819715137,50.307827012731906,50.230767036661085,45.81460766961723,45.285966033226536,41.37910050234228,43.90023874494573,40.73766165427038,43.392442026505194,43.88068691692937,45.515273673814015,48.62779539103837,50.23283565246262,53.754420852643015,50.89390498719752,48.202661269144656,44.98307381851813,44.092298039796106,41.85259724155196,38.931893230201645,41.87269383388007,38.643403185646214,43.056082343789356,44.65006217664575,49.194482552375455,48.57035891130455,51.685480967176794,54.45293665680006,54.78345483726797,52.55442989861504,49.81323109905372,47.40318348562536,47.22663255577158,46.62694197499834,49.538630861073024,51.83328561102769,56.44490459780429,55.07336903367356,52.614372606591196,55.279391060898824,52.721996512106756,49.936250118315655,47.64060294016889,46.19215430360734,42.08745061778179,41.299413601448244,38.39897048949341,40.22017345086524,35.970123396025166,39.067755239190134,42.44921855682628,43.24814270963245,44.402961578929826,47.11439183714892,47.69905839834306,50.05287745693386,53.16573511273333,53.332237259426975,57.30555534429546,58.26187764486601,56.49258676256044,58.11900969756797,59.8450089716971,56.81970342281682,53.82215371562397,53.840741782358,52.295956594282885,55.21869077525438,55.51692294308476,55.60122529743533,54.5981920378878,53.27358482469493,57.05008810603995,58.84439994351817,58.640841781800404,59.14497204264514,54.15645224752449,58.61943032187594,61.414717493179445,59.626931387763186,63.27848868579926,62.781981905653915,67.56533279906928,67.04145534473244,66.83287663138579,66.55878298075949,64.09377138156084,62.25210752517942,59.207632977167975,58.00045079043549,56.64312588459451,52.0218096063999,51.37434707063416,47.31444148862123,45.62814078734498,45.4989353230779,43.444735229270535,41.37327970161383,40.66804771940402,40.54022612222971,36.99524684094666,35.37084084792669,36.216312928711965,35.43297512724949,31.135922738480183,30.655279883002198,30.458734879043785,27.926656509175988,25.948704362403387,26.789890052843305,29.428902401221848,30.72038928437184,34.93230405226959,36.063983051073386,36.53393288374652,41.799894852756516,42.4541317439,46.08914798713459,47.16032064801153,48.44529288576343,51.58699389706757,50.93219353469625,55.37777981139702,53.47737655742359,49.223497160587,52.990501823371254,56.095245857289044,52.26536223701562,51.638805267132206,55.86894981653781,55.14459395562638,50.98032933114652,52.99066679969533,47.99491866841742,50.90759471180301,52.253348002493745,49.10515552160702,50.859773191103876,50.65337254245169,49.845285508606,47.44600632860982,45.387310662482456,45.23100345622949,42.50960064815424,40.45174163267102,39.385201588131416,37.07266363023372,35.1164923315425,37.02113172529451,35.08489742427861,30.900378951522395,32.396940741773406,34.95851718552231,36.27887974119155,40.28250581575639,42.190621195624715,45.45330095409243,41.849516388938035,39.23767365985594,44.29826795250441,44.172659230718324,41.019961285935224,43.053409897534934,47.591656213515535,44.72740117334292,42.0217942206469,46.44681121259346,49.027450638386185,46.10088061339763,43.65256300758064,39.59830104841105,42.02403942155287,38.24617418353911,35.97998320282365,33.19384064379361,33.73666247632114,30.39083670316859,31.110424678733292,34.51254497044573,37.6172384481135,39.72879738952152,40.160341254460945,39.096569758942664,42.652763260273595,40.683243444182146,36.56910796490425,38.25650893527402,37.27862672525705,36.20833554841019,34.276011276102864,31.80654296117956,30.86935070553946,31.609599984720642,28.334171630316824,27.152495494893277,25.4297622332647,25.45029980339179,26.315473846917598,26.350652563967856],[24.584013871345185,28.06281060259582,33.09570494415354,32.71705501146035,38.18389019195791,34.11933210409864,37.11731555947525,38.15907000290525,36.38776068328399,39.785850559870575,40.17577032616367,40.951051540414,44.58277168493061,42.72745598724416,46.088879592038424,48.37329845647936,49.1613922084528,53.1536651310659,56.308863235624024,59.146557430579215,62.47231646145782,66.58767934838205,67.43329487687167,67.4139573355613,64.65081894726042,60.42416040412316,58.63115540549749,54.4121828657977,53.91499016733447,52.308814620288146,53.212532831569916,52.41315449037686,53.97067886028843,58.43200551082995,57.8762179780265,57.643483539635035,56.71577928766121,59.25398619342848,59.93719695368936,65.48216558214779,64.31860510922269,63.820672414355556,67.99289198672916,68.74809049384692,71.02181119512865,71.4353610631538,75.12617746759958,73.45482741239259,70.61096999202157,74.53706844221564,75.03496659166507,74.46964942794858,75.22154473625034,69.8370916496626,72.4262536711249,76.49680657722273,73.32773986379622,70.78976401375868,75.35648352803197,77.0712387764811,72.17730452461302,72.41753284871707,69.39606892942409,71.2696004682379,70.16053802797545,66.31667775308813,62.71584753603542,59.05691034640072,56.36059792470245,52.71532991836753,52.29985078757256,53.2340922827007,54.81793682359138,59.419212728506864,58.46970860279156,64.16266413875714,64.48636674982193,66.0322123435767,66.22277298282482,68.46674213952946,66.20034410874588,66.69741604284027,63.1615234240567,65.25254484657685,63.55857264193348,61.11182354979216,62.97805681701945,61.993063555894985,62.033558386830364,62.74037273826997,60.23922954518673,61.581897022291656,57.61746471875747,54.88958641423539,50.89295874681079,49.22183174902508,45.87165128161628,48.45790887902206,45.914780450734426,44.96496630264718,50.140378367453614,48.92210945291769,53.21561860080495,51.23704864197863,55.762643493049985,51.46017577797434,53.22973780500397,53.30318768015632,48.929057839388214,48.17362899263882,44.13029829371574,46.231314774361444,42.729133191856114,45.173522541751936,45.131709577173666,46.709263439624216,49.55658763195122,51.10988705965834,54.19780262588209,51.37011137168034,48.6073322413751,45.55991884419699,44.89779548270833,42.970213261541446,40.34724332310367,43.72716594016014,41.01863516024095,45.482559842850755,47.37370699670615,51.95073004645156,51.55756123758267,54.86319025472127,57.404985190813946,57.63315587815388,55.21790178837453,52.20434414960048,49.9477938914238,49.33772110733835,48.383681945064026,51.20348616769984,53.13785308996619,57.650518757677794,56.148008200400206,53.90873747561938,56.6219099774655,53.98912691170807,51.306385789961176,49.117442297067996,47.98820716715919,43.81772188330666,43.430416320260534,40.21403822225778,42.30342621906713,37.79476392976313,40.47143285565172,44.05997826868205,44.74212557418706,46.32459196657669,48.70462024869163,49.790090189699775,52.01382234541287,54.772880985837766,54.9989216876005,59.01376153849778,60.18477392442735,58.38170087348245,60.3438512466377,62.04951972259195,59.242539493061976,56.052544018150044,56.18534833151793,54.39583222488002,57.331862293309506,57.60106636429177,57.5569330285785,56.64469340778958,54.960541728738626,58.9565332662918,60.75978052834601,60.81359119474873,61.32197777773241,56.557772050761194,61.2183186554191,64.04553420250856,62.08287830691562,65.41535628105619,64.60584707196163,69.48365421650335,68.92495830282876,69.00511898155467,68.89086252535306,66.56974807936803,64.92711020251761,62.01072096928003,61.00490098973243,59.85834262805864,55.15715160700465,54.76526909033573,50.83779181259188,49.06804394043995,49.307425073314676,47.15894451416253,44.86955011591124,44.44545499015338,44.55269098656376,40.79521757025574,39.06716231476432,40.29812533887485,39.611071069299136,35.04058305983309,34.74826610893437,34.82238402952902,32.06103594509537,29.952017050513422,31.168774956353836,33.66196429106151,35.34220765153833,39.26704999591703,40.434580246262406,41.11955548091965,46.42882029862121,47.22263543927919,50.80533259227642,51.83167920403541,52.96633001782282,56.05294796996619,55.196485380589195,59.68980549772153,57.8947127031922,53.43913115442554,57.10651916667998,60.307089150495734,56.42993292872432,55.62025399617954,59.77889372353342,59.13450738339118,54.90218278118611,56.614569470664804,51.76724607533772,54.55469794889958,56.102127623080996,53.10836660623615,54.7597123557182,54.69122686535113,53.59058139733371,51.22458109061423,49.43672269447724,49.07281232472019,46.18229068874853,44.41602460821322,43.41267345727602,40.951414256193225,39.10842381134207,41.30882987922713,39.31532810279466,35.027568599315764,36.81467346640705,39.51085484189929,40.81593231024452,44.78268176948516,46.50256604227391,49.90221169051169,46.43571479479019,43.58865569222145,48.618789406432036,48.653986701285035,45.44783800742237,47.226208471927656,51.95253351288424,49.133218427403676,46.180596988997664,50.5101820309522,53.28808843897247,50.3311861217787,47.71027391683812,43.49689536396298,45.95451161270138,41.986630713117634,40.05948635516336,36.9760874778525,37.63165703507357,34.057417000903015,34.53783483914877,37.9347430010011,41.07488506633021,43.122846507923455,43.81933512156273,42.381562857707706,45.960981529187244,43.60512147186134,39.834568824288226,41.441134719433386,40.716007395833664,39.17913039778059,37.30390300770311,35.288076682313,34.08666185979217,34.27968873260305,31.398662955170543,30.718437355954922,28.94638169971189,28.88978938647725,29.701429679908657,29.76547740971332],[24.958936543577092,28.301065480472907,33.27880941531853,32.44096859101911,38.02375124489675,34.11064679739561,36.982292750188265,38.278343166569215,36.267247843068404,39.403760702321236,39.82069901940714,40.89206422845902,44.29999964231156,42.15927952809524,45.63933939287673,48.04196226800027,48.620517997120025,52.531685039939305,55.45166962860259,58.46779936529205,61.65731820350644,65.84591457650245,66.52977719894352,66.42556644317494,63.79160377768815,59.525537532682144,57.899881758373674,53.73021785396753,53.4087544981845,52.029440446331925,52.841713635527945,52.33744962946851,53.96926822729493,58.31900990204653,57.736007147409694,57.309910279660215,56.5798751566417,58.854427435580554,59.49661511362911,65.15063213926159,63.731750252677806,63.189611759746754,67.42901363363188,68.07884538357986,70.21495741986676,70.5586666452701,74.28721764213392,72.77171330352655,69.90533671848748,73.92835714600129,74.55682664796997,74.0918984566747,74.88718882590013,69.45874095915674,72.216717469381,76.15211027045689,72.83235727155136,70.42510466404806,75.01266829724091,76.53752892416301,71.57913261338751,71.8483318127179,68.90110385960979,70.56897020608343,69.43833115193009,65.71158867672322,61.92178332562405,58.381560207835335,55.46678196317635,51.92180038125454,51.33048644740407,52.163421726554546,53.96215257149719,58.53260515004966,57.82935208028328,63.5906075982593,63.98551650191037,65.69612428853857,65.92525601572866,68.16274594478396,66.06824147835059,66.54742738964102,63.20611809483459,65.25742638464148,63.4044785420444,60.95907474796924,62.67008167303278,61.88799243328225,61.680123897299524,62.55616611889114,59.886375525449694,61.176440859713,57.25180227669365,54.67206136793256,50.6305468541451,48.95006615520384,45.53122612289773,48.43237516672065,45.99984325101727,45.40856363004644,50.38739853620755,49.40431363384346,53.48313147697496,51.64497824560144,56.131700591814884,51.761440050028796,53.72262539644246,53.697366709950735,49.30575224088866,48.60961882306397,44.410499321344076,46.265147153628774,42.64812102911052,44.842798066669786,44.63190741919931,46.01175965316397,48.80534108346709,50.165128924968464,53.17353844628462,50.53327689984617,47.655005215866964,44.71850802362046,43.94340029152468,42.20457435105343,39.78782903626548,43.26092738565377,40.93754600742296,45.36918852363696,47.418323180851715,52.091493556201854,51.605540750965496,55.08799614441489,57.431551433215155,57.79283465885682,55.10724812476748,52.01785944375092,49.648576660246725,48.8406227710576,47.67675430849827,50.54091588983818,52.181482808632666,56.68335591633815,55.276002457647444,53.177334919870674,55.99805363448064,53.49487113021211,50.799795286780395,48.81997529620021,47.88591189538787,43.78110920515597,43.697908276965514,40.54245770916204,42.95866934871692,38.57478584899584,41.02911088118669,44.538552206690476,44.95980236327005,46.65126612194257,48.78158219764809,49.92616775713344,51.8564290955575,54.517902436451976,54.52248990813084,58.65480341198332,59.74530090324526,57.753137126718094,59.891982135861916,61.45492576639055,58.74977751291325,55.48328821037359,55.78172674316356,53.94995684953317,57.04573051256942,57.43761058205367,57.47808472783243,56.76492986982035,54.99098114095186,59.18818874292149,60.79805040634754,60.97398792983869,61.25366930510148,56.64312826469791,61.287594524394635,64.04142475125448,61.9419379717659,65.17422740327238,64.23035929932145,69.10883170896432,68.39123021113576,68.59376935690275,68.50022435426084,66.30538038976117,64.68986913554167,61.84345293871781,60.95139092626519,59.86318288566206,55.11569708596364,54.94230589234614,51.073917597038125,49.43405221659876,49.8873610243268,47.8675456059002,45.37299406313595,44.93401186785063,45.33026129792251,41.53041919334598,39.4569152196317,40.97393699720709,40.64331226880603,35.775667779473025,35.43985112633273,35.82371400879476,33.0973772068271,30.64287443503592,32.005070362348576,34.26395850284372,36.37572309080243,39.79211003665808,41.14150783808757,42.102047078497485,47.41978847374015,48.43541669612549,51.91493229706423,53.039241562350426,54.049740119211066,57.174121213316496,56.234412810784704,60.668671433629775,58.83351001193478,54.21529803142745,57.87478875186615,61.00418614715532,57.00134615285424,56.12317462183832,60.23722555822911,59.46984834766376,55.18478974182315,56.79161548004866,52.11887296966375,55.02145936171824,56.75185687790874,53.963318539386755,55.719669385364185,55.89638800184116,54.67559164839177,52.1407071992452,50.62019648564677,50.34622772683904,47.23461120795284,45.50070010112232,44.77285701345193,42.306074476057724,40.28635508172494,42.720866034779164,40.91000008385297,36.4841262640564,38.21003350943641,41.069099536335145,42.15631116244295,46.14325909987632,47.70428191361369,51.11261628445851,47.669755244576976,44.56854621384703,49.56039127054652,49.58913405680381,46.29175089340861,47.85768579602804,52.6748128753088,49.76951730514533,46.62075131076624,50.89336550128271,53.763226892753025,50.68890438778825,47.92661627101707,43.61495061342296,45.97443922624291,41.85709862968859,40.2472722945135,37.002508623062354,37.90220527052292,34.2872628959553,34.410595032375056,37.82367250947492,40.88854554340549,42.991498982635,43.98238035473965,42.463382211301614,46.14615896959061,43.639914879807044,40.18636168509503,42.014570141159446,41.542176379912505,39.92879959477223,37.80029677273822,36.071299096056215,35.0333214423525,34.787438676257864,31.837545100486278,31.58713525756333,30.098982171887823,30.204908793012606,31.088512503746482,31.26704695299822],[27.751980381650174,31.07073121747011,35.91745982973485,34.7933979682605,40.243211857712815,35.97434880529316,38.5223113030303,39.613974795609,37.20861991003519,40.14545046246074,40.20924683132659,41.285197442066405,44.89198511152661,42.54353027543276,45.73798811212105,48.31157932548639,49.08461429617083,52.783438767369915,55.686731046621034,58.840206805461264,61.92498872038957,66.21719793500944,66.83827048292144,66.87792350168948,64.37599117568801,60.03928564641131,58.59168067320196,54.40166110747662,53.93472014066476,52.564343340584266,52.85083977925569,52.63662251134723,53.98886769680804,58.24701796094838,57.95083723868817,57.61209056709821,57.14518058888459,59.51886504509986,60.36214899643725,66.15835397184622,64.70034910467507,63.838377735945556,68.08625510788278,68.88884429711992,70.95653945511307,71.45750874806208,75.14384090378438,73.62646197733983,70.99174448719639,75.11513504638127,75.61875955442699,75.21640007578361,75.87266141225352,70.43347780376946,73.04954223941913,76.8896900509922,73.51586390189206,70.9717065757709,75.4831324516122,77.05292390349234,71.96624278289588,71.97286675343538,68.92030004036032,70.47730567725044,69.57936932058547,65.91862006460767,61.92687752083502,58.38612570545063,55.37922670354311,51.735374281457766,51.11335813340378,51.662154831122194,53.491800498838444,58.153140191563025,57.5651391465136,63.18426598628002,63.91231484375393,65.52214844032609,66.0150400701854,68.46059994942159,66.55553615208753,67.3097884688018,64.05909088973539,66.35780620805352,64.52991914050081,61.839169818214344,63.2972568258265,62.3969709288686,61.95649797513714,62.57530383941224,59.753847155270215,60.73633761106618,56.8259502468957,54.32543633120707,50.46158002858264,48.51350848930875,45.29400383164311,48.43479853375769,46.2403208095143,45.774009806233366,50.87435856664107,50.318491941298966,54.36847163541412,52.92957449612293,57.63105604435458,53.45856192033729,55.63513691165833,55.8262455273288,51.52025729021295,50.56332517493383,46.36543565518311,47.9401064079248,44.10563977509711,46.23610961398774,45.61559905032523,47.058176735402576,49.59032428220595,51.02575649137096,53.622389670578976,50.910491428925035,48.07130553741243,45.26597432182892,44.811086705218415,43.274364675814525,41.04306908446692,44.84290794191052,42.81192444368842,47.25570798384725,49.479938087442626,54.07532469250752,53.89961186667824,57.4304011614189,59.65784414265395,59.81546039272105,57.14536201621664,53.85696276536412,51.760884002473254,50.64982985634968,49.29132366218179,51.99120471215255,53.474268587278964,57.84111733986026,56.234982280130325,54.27509840703618,57.04298617425775,54.39555383348262,51.83640841589667,49.84415279583385,49.107252975122215,44.94251595436293,45.06220824990332,41.61257913877182,44.06948548575081,39.43907405938233,41.59179941974026,45.28516268592641,45.73039196475434,47.74823020436573,49.684440537477904,51.267241979783456,53.23933924509476,55.58952723173568,55.80355057686405,59.8685841348123,61.232899760524184,59.35955164725054,61.709775646488005,63.35883091494908,60.82852177545249,57.42631606028461,57.71445309141082,55.6632849040953,58.632858330786945,58.903854180729766,58.7583726960504,58.01711530186354,55.95938583476242,60.21591207036245,61.93941702106736,62.29677920877554,62.72449551047815,58.269536114594196,63.096099413162335,65.91742196075215,63.741846351221014,66.69933843868189,65.532655636214,70.49517199052654,69.85644961609464,70.26290107689898,70.32913747239259,68.18860904737453,66.77621181923278,64.03040497976441,63.275360490733725,62.38221060873702,57.61483964399475,57.55590848928716,53.81430975750369,51.99579081006938,52.692888595101294,50.49289986381664,47.928034800943166,47.806222143761836,48.24636225780043,44.27525707372658,42.36831583290345,44.07504502235374,43.59918449112959,38.68846672037417,38.59468456581831,39.0455706728016,36.074430471748926,33.76080691179367,35.422024294321325,37.67700086789547,39.88290409105959,43.37355269704719,44.57646701280723,45.58332880679897,50.9353722740079,52.0423733557388,55.45827210503596,56.40519657851196,57.30971017701257,60.32942353729754,59.2038730926368,63.71943816324566,62.05421480558572,57.3184438260242,60.85275978999735,64.14459687292207,60.19493827253044,59.1503834276288,63.20116783804285,62.63694260889359,58.336431224505255,59.658713293272186,55.04524969804172,57.69733899013307,59.51157154857606,56.769529455829144,58.33702867917262,58.51904596290146,57.065726220595856,54.68018099141678,53.291863156872765,52.75571778908375,49.609379845167204,48.164234449869966,47.35307375160551,44.755343738562296,42.96048579087719,45.55636795020458,43.60674262019064,39.177621224910034,41.219719202774286,44.12689236128744,45.312355057073425,49.227448408474245,50.66203897350688,54.20816109093023,50.932591172705294,47.73501318397167,52.691339771006355,52.92656188919917,49.6510630099699,51.05835558660502,56.0140821727764,53.27007919135682,49.98654215921046,54.1535293146979,57.202717353895636,54.22558715912937,51.37246473248993,46.98291147260034,49.497920775092666,45.33013044424764,43.84511135901386,40.39091876546446,41.16539345518113,37.35533442686271,37.54747005165746,40.8916302844021,44.042509748821324,45.992504136226046,47.00243965813093,45.14396713070137,48.72659070047226,45.94855192294996,42.66209148599397,44.24965646903468,43.87172590342181,41.86286997109318,39.96544042332449,38.51965617080104,37.15699114349966,36.64646421958377,34.150756055287786,34.10643947136645,32.448526049352125,32.435444073309924,33.26436445883196,33.41906539013332],[23.375041920942905,26.61176289946561,31.29938978566163,30.01012252246054,35.314997527162234,30.868305400050623,33.30980945024696,34.38833337667815,31.93356854591992,34.88292569425326,34.997835213203004,36.10198441368069,39.65032261942431,37.35928557688306,40.620943961986384,43.14391653925865,43.89379245858795,47.65761863396532,50.638737936272555,53.711168812767426,56.865075981625985,61.11773747795685,61.81503784774141,61.87575306953284,59.29158239153627,54.97247011133512,53.439769083750754,49.22981739502253,48.73438945141532,47.34090432371251,47.7719407595216,47.485880670089855,48.952985716854066,53.22722461593362,52.819799449931175,52.445575108197566,51.92647018648497,54.291012934826576,55.12664615398338,60.90887521281243,59.50591350953991,58.66263770822415,62.89212823653245,63.72338561004165,65.8576934357366,66.40282463421546,70.08587533841214,68.4838345005765,65.86013142767354,69.97939159171543,70.4207620625994,70.00030264664521,70.62745646269386,65.19986044364254,67.80457703192295,71.66001634301134,68.3125005250297,65.76707706134323,70.29230855856609,71.88004259709716,66.82749434033894,66.892868087646,63.859318484315075,65.49556813025515,64.52787362163095,60.81495608113985,56.92631183717992,53.349632404799046,50.43556473066125,46.78944475809946,46.242529222076016,46.959362663775565,48.68911637777441,53.32585885244439,52.62389163929361,58.307878360265406,58.88223135915841,60.52793751382087,60.91994624166586,63.30266484032134,61.35710847229153,62.063856594832394,58.82357876354962,61.10196214935469,59.26661733027286,56.58167261741041,58.07021063698155,57.196944263711124,56.80183356963696,57.510741673870015,54.73732552574727,55.867644149672905,51.946854296667546,49.41641723925859,45.45654810207537,43.63775000901486,40.30825707196364,43.396122616051656,41.14127856897727,40.78182868352731,45.75644764292389,45.2155269231299,49.183190641331045,47.775883535411815,52.47483047044373,48.32758606128747,50.61126357357938,50.853245680502894,46.59273774406818,45.543341105592816,41.31288644105819,42.763980433398366,38.87546378082701,41.01254246604229,40.37712098341493,41.886387546743045,44.43080336999176,45.96590117990797,48.62036335796533,45.822262578443464,43.02430400340703,40.14927902207916,39.746419222460894,38.12871274163968,35.842758800392645,39.698404707892145,37.7102107773654,42.15281726205253,44.44555560222754,49.004347491079514,48.980515437617825,52.53820082475981,54.69608473274516,54.76096229399342,52.10105968360649,48.73901468211016,46.80872580325003,45.6091033236632,44.26233534103008,46.87638648041773,48.48712710972456,52.84144788024127,51.14766789697539,49.13173478516874,51.8575256469896,49.165644349670764,46.6087024277036,44.58047135392071,43.847656050783264,39.68233735821913,39.87384650966337,36.439178154291675,39.05058916216567,34.55468849358968,36.61359944239377,40.21316829163203,40.54560559873817,42.56876486720604,44.44770298779497,46.045334837091346,48.00075788603538,50.329611961143584,50.59757973267928,54.63385730715379,56.08549507459046,54.30348815794055,56.67158119563285,58.42223029577624,55.933081947158385,52.478891396764226,52.69783028420303,50.565702776225095,53.46182052472958,53.684429502651156,53.50972350705291,52.78462638030929,50.71081247818552,55.007846216157034,56.691786079465345,57.07639012672686,57.50355916425625,53.08433590903655,57.95967951486761,60.803173178065244,58.60926550647307,61.499307674869875,60.315129788500265,65.30106429172528,64.70755087348618,65.14192820483264,65.26473616195854,63.10741766537351,61.7863647500548,59.07719235439917,58.38293094072604,57.618038403402146,52.845592009934414,52.854121875789325,49.22530653551126,47.276899669543006,48.21895174766704,45.92731411942628,43.23995555503038,43.378117847243786,43.962519507077154,39.82829376493035,37.973360872528765,39.96159696459719,39.525173332509524,34.41998706013787,34.582152463982894,35.29172637598566,32.075111639626016,29.733716472726652,31.89960266760485,34.03093590061838,36.623404005029876,39.999206813468554,40.95812900430271,42.19171218406424,47.60222990636459,49.09849061844927,52.276116812109684,52.972796467007335,53.59878494556555,56.49937119797831,55.102131318347986,59.66033596506908,58.180098580825806,53.20987245511868,56.60023824249632,60.048316909657125,56.12847019065394,54.86566156847546,58.830575265321855,58.501410656160225,54.19345098484236,55.18324061569189,50.64070090590978,53.078207300217336,55.00956440166721,52.400392744449974,53.8880279664703,54.2573626774919,52.56823701705132,50.15704295004151,49.056727361271456,48.438096947161036,45.09700101468073,43.86043522003355,43.24279561355599,40.57336575397789,38.76412352355465,41.705476204752564,39.865354648384155,35.303775493055646,37.551511772880225,40.695833894483975,41.736411402288105,45.56312805660948,46.69606365763103,50.392414321921365,47.371208428106726,43.845097637403676,48.71790696681766,49.23508080872457,45.95204375845182,47.03545695377981,52.2134553145435,49.73536400116971,46.18049191911039,50.16397022337786,53.51156619618473,50.72705720853097,47.70525121829541,43.210398221231245,46.077561861323076,41.89940273480933,40.54424484896288,36.710018406420915,37.215315455225266,33.151642822654786,33.51575830793325,36.748989122595944,40.050807171745,41.76592672670352,42.717237490604404,40.51411884507241,44.00789493635325,41.04252730085094,37.88193093551207,39.41199655707201,39.205842279403626,37.00130624783399,35.067637388733104,33.90372263477565,32.499372362263124,31.65778457343033,29.350897166238894,29.639843288852397,28.1137239687128,28.20784948142849,29.09894640100815,29.429304243863847],[29.144384683447853,32.220075764834824,36.754549443587315,34.92820231057143,40.2349700048128,35.793173520494946,37.85022100750535,38.97329544052572,36.015585476379236,38.47026001381592,38.25120217895268,39.623629774447934,43.1135934154311,40.34706279838332,43.379672091078326,46.17720912111585,46.905978509117745,50.32054787261171,52.993654735469384,56.38413721518028,59.24990105938206,63.67079415343099,64.10969067106456,64.2124437929457,61.93148237718844,57.52444890883883,56.379293173610044,52.24157873244801,51.79831621329538,50.658899326690815,50.42916501373363,50.74336915094633,51.94758154724918,55.98614517628709,55.88097944389967,55.42134490820938,55.36984489003889,57.55960817890304,58.539278151920776,64.53004276820691,62.82831221464634,61.63509383464058,65.92215037327757,66.77547956991597,68.65169187969424,69.24348630477081,72.89675700917995,71.51222301438341,69.10277613307315,73.36090202867567,73.84447608555267,73.6060362070453,74.16495638779719,68.70850754895189,71.34485523594682,74.95256427126435,71.4135761248778,68.87786257417599,73.32499681989462,74.75418698032622,69.52738780080327,69.342232203664,66.28847453419004,67.56371433181104,66.839173633254,63.352189923394754,59.048799590425475,55.632570753827004,52.38718411588086,48.77601986999879,47.98489438842934,48.215027212173446,50.24430342070335,54.92278474740361,54.642345816163285,60.195293363485625,61.22866250087755,62.91388001702726,63.64026727567047,66.2299841528508,64.66043900774518,65.62117833340608,62.65927203058007,65.11973337107406,63.171811205397425,60.281728337858425,61.36571154249789,60.57028929142708,59.697314073253416,60.28050184300566,57.19400971609479,57.89693899804614,54.05954447118043,51.78497231358265,48.035614444270934,45.90278927806461,42.791581090342355,46.410616865235326,44.543197442905566,44.58815291739471,49.49770737871903,49.557628305773626,53.30507753676658,52.3745961698905,57.17412795618003,53.17345939602342,55.737080948944595,56.04323513269245,51.85189235701002,50.69355470198151,46.386293230785164,47.430144888829744,43.318934218016295,45.131257428917436,43.97967280465126,45.30467789795468,47.52167333366095,48.86986378049094,51.00270742366485,48.38765870022437,45.51750870501652,42.94618262992889,42.716627389961694,41.535242510657156,39.683094465016424,43.83658860984327,42.44550561896664,46.831083643373184,49.35172022401478,53.91396992559055,53.994023334162726,57.71082342300641,59.62280107373971,59.67885253184657,56.80052243729428,53.25018894665749,51.379627010892676,49.80059903874077,48.09065602967207,50.61898263925194,51.72174894447645,55.916187082388866,54.18677477233892,52.48061265787618,55.260697171543036,52.60437429800291,50.18295397232849,48.38001360328174,48.014920540316695,43.90893597502487,44.51982247931856,40.92253159775164,43.75041655242081,39.16847087339661,40.757544534545325,44.44572124376612,44.612029555341906,46.9985389664775,48.47987238201651,50.498938961208864,52.20842392263214,54.157468082233756,54.37733549836177,58.440683788238694,60.00642547853758,58.12379961614411,60.80793860340968,62.43677147987375,60.18705201815193,56.60735711911449,56.99943738541566,54.70251302470756,57.64933765812323,57.90551688384724,57.66080693111236,57.09095102350094,54.70474330065289,59.19561290579978,60.80773417402505,61.44719753660534,61.790200128481324,57.66363072351256,62.6283693932775,65.43645458130575,63.07629811487012,65.64200148453483,64.14943061196739,69.15224330397443,68.45540998940702,69.18967532268165,69.44108089664117,67.47845992481336,66.32772898124608,63.76544640788752,63.2640723825695,62.65531868559498,57.85367024386254,58.10988101673551,54.59998371466025,52.69827341567177,53.88374438330096,51.621045844268444,48.78672804584824,49.026070959774756,49.805729927689114,45.618858841115205,43.591372318881795,45.795981951463844,45.51751905937262,40.28532156489839,40.452019957789304,41.304639135627646,38.09394385995766,35.62878566814855,37.81397191638212,39.82369107928616,42.59441119450747,45.67309782083745,46.791835140535696,48.14509678589052,53.54078005000573,55.032663938810366,58.23758272403678,59.03020665065243,59.612495968857225,62.51996691372314,61.057170426585124,65.59719443100484,64.120899309436,59.06130978392456,62.410286780551324,65.83637594864716,61.849557660482134,60.51379595582599,64.4075744446668,64.02568535078403,59.68372585373102,60.521724058596256,56.16090463882153,58.59548026627743,60.68081541178564,58.22041963203656,59.685488709411565,60.16226322757825,58.31970823676298,55.904802449974355,54.98455624437995,54.28474569463052,50.86077942021827,49.77383506474539,49.21506458316187,46.49784365499179,44.735945874952954,47.777403125895425,45.92176825288408,41.348749783484536,43.65609197765977,46.816631507290374,47.837927575116204,51.66199483945674,52.73094893020357,56.448072395620095,53.442335345084466,49.82902107693613,54.671300347260214,55.18951786538614,51.86134083266539,52.82091146990098,58.04718751106985,55.491500965729834,51.826103085266915,55.7611674202036,59.15117113811232,56.2593682696087,53.15386303085241,48.5939115904554,51.29868917394025,46.97928113161528,45.92093720762896,42.02998200151973,42.775580878419085,38.709424055055,38.7338305285177,41.95077426860369,45.14631090274719,46.89178938468012,48.13655658959869,45.788672276762064,49.31370644633704,46.1163097207224,43.331516177174926,44.86787118647123,44.864769139318,42.43062476174511,40.5053333107175,39.656409452364095,38.16828833044546,36.9588095603193,34.9060309115622,35.5175655592823,33.98481568245044,33.99587756265422,34.78978061129771,35.08875144286061],[31.260672317272025,34.57843023078202,39.25207193358449,38.00700980175867,43.19001844670725,38.444347841758415,40.627331050927374,41.32654329962244,38.56707431883568,41.35192558853523,40.94522986590799,41.861150428356844,45.80965753272129,43.365895598394985,46.098115338902474,48.81033692345774,49.94065149015596,53.382965745358675,56.376477762098276,59.594773255636326,62.60547426233246,66.97569094839803,67.60092078245378,67.88025372885488,65.48320770190087,61.09415298948415,59.79153040857176,55.5711005160156,54.82283338792303,53.35293163479299,52.99764766092641,53.0125495543576,53.94908756893181,58.120718798285786,58.21841269463256,58.09591815230695,57.87507924337484,60.50051941316028,61.622934968682,67.52285192248986,66.15000635534352,64.90192358893889,69.10123033490927,70.160804155714,72.21573742935225,72.95910703919208,76.57303661085213,74.96493668711577,72.63519163847288,76.8592072069824,77.11623417907913,76.75366833188963,77.1795576179108,71.77136863889916,74.10453705522767,77.87582596691979,74.51795786430219,71.7315011970482,76.11474202718898,77.83753654867375,72.63546297845497,72.2783119095686,69.06158832872515,70.57280009472757,70.00157831951239,66.38516622635873,62.25134145524355,58.65883251701414,55.6694504790252,51.864624574730605,51.30631894112482,51.5340583802035,53.26815553261838,58.03331967939751,57.465817820667205,62.836798137500786,63.96016664658975,65.34149690863008,66.1627468819204,68.8783381499298,67.13899708253611,68.2543388002778,65.03316501489996,67.65633761339855,65.95454110234095,62.96173398563797,64.1658249865686,63.01010633628854,62.39503489247547,62.58372057515664,59.664033632423035,60.264794301952286,56.37230837869846,53.911628422575504,50.33316528468958,48.04920530109515,45.160725525707996,48.42429121770931,46.50305066917152,46.03302207601754,51.34819490987579,51.24062229547817,55.331265555302224,54.351296350049054,59.31672544570305,55.456088649082666,57.812481467110516,58.326771243254534,54.15938468608789,52.848083556684244,48.74487292845484,50.06829951573557,46.03590986617652,48.19712565525635,47.14629710439308,48.76480547580326,50.97452861109506,52.607361615425994,54.69699757922103,51.80389106830204,49.099625548860786,46.425303577829574,46.449719412495924,45.07622677431977,42.986647961391725,47.12423701536868,45.287042073477224,49.73111383366022,52.091710634209,56.514876360009644,56.780388809760254,60.27769216353351,62.44208529729641,62.277784036350404,59.76299561801083,56.270185354949795,54.60667243187093,53.21043889118594,51.71800242597669,54.15683680177179,55.59824367755562,59.777871316340885,57.87056023834028,56.02194872864377,58.651903492278024,55.761992004006736,53.397759893599726,51.29273217060485,50.713281433295045,46.46696899457705,46.698669125375304,42.87071585022405,45.21254947001734,40.248119670464185,42.097559740413146,46.02863819347679,46.6240820915876,48.99374207665079,50.788493261556646,52.90217185146543,55.05919160357348,57.045409553231806,57.641886061302046,61.54253947194115,63.32068902251194,61.69750379483582,64.22850820008156,66.05709841193864,63.70392219817173,60.164748037380065,60.35780179927082,58.051059148171646,60.769275687000906,60.811775498124554,60.38131829855793,59.50930682078444,57.134896700157505,61.35308231131967,63.311653089017035,63.84458330280378,64.57377544136854,60.26035390369539,65.3167762086827,68.25562120135625,66.0531121152731,68.69132345118966,67.3104667252917,72.37889977884454,71.89352969260318,72.51360945180211,72.78469997406644,70.6477673218651,69.49609640786096,66.85431850478905,66.22185990451071,65.5538450961863,60.79551065642141,60.77784051032395,57.18135347337653,55.07976155364896,55.99236995812913,53.51608673404383,50.951942124345024,51.23455664019643,51.609566788476364,47.44564301048538,45.89386660103946,47.716541625584256,46.9227162153947,42.079635826515826,42.30350282568477,42.72144294388848,39.44200375770867,37.429970945568726,39.405695765275304,41.74365984493031,43.89753055067123,47.676099319188246,48.62566311770369,49.588777505834,54.98590523849017,56.13799505843034,59.51104063120754,60.171406670318625,60.98644736564671,63.851443154352,62.516240359189524,67.15617924999457,65.73133403664119,60.9043857342843,64.28019751578185,67.81292241236949,63.9820390456513,62.75230094979966,66.73548194931348,66.48976711977043,62.20183906935804,63.20260641841917,58.595446718224025,60.8699013820934,62.70852843420393,59.94479598295827,61.23341253650613,61.329880072098454,59.63304430715316,57.50760517307088,56.18827012096042,55.29727608841448,52.18771732402905,51.09298458474812,50.08421821134312,47.33161678596663,45.88168044935138,48.59499607899653,46.4256300529898,42.05211351549414,44.49452086990569,47.41109061861019,48.78251595395541,52.591272847516194,53.91490190848505,57.62808478431109,54.566957235997776,51.33902540514553,56.25741461365426,56.760788920180474,53.552790734644205,54.83851870679053,59.93202005808474,57.438110045301414,54.062964008069834,58.11044942191296,61.36053817896196,58.55376489898549,55.636064032105125,51.19420499437534,53.95105790508567,49.78925618132799,48.315038593625864,44.66869679720754,45.18079888164464,41.1505135782159,41.5879224566942,44.8453606355305,48.133928909510246,49.876874103759036,50.76551815132937,48.52061063931936,51.92217690159814,48.87814288492535,45.650037252642065,46.87845118422637,46.51286950401498,44.06184990739244,42.53830988925317,41.3049994589358,39.5212493579921,38.89112406059253,36.98540141460756,37.02055087226413,35.03161396504916,34.836572187812266,35.49740731422831,35.5498344510777],[27.78480051830947,31.15527720702908,35.730466760106935,34.81073887171579,39.74076391558548,34.69004803196574,36.88482779519198,37.26953397251979,34.685382174639,37.74321401088682,37.302557310115866,37.89969105273301,42.08878388769308,39.98322251742453,42.603708767696986,45.167213030055564,46.53107337462144,50.0936715520616,53.397068542795814,56.376740916162014,59.57839740939403,63.8462555672613,64.69222977788024,65.0842345186452,62.49983386669936,58.16447762586621,56.63058967447184,52.34274705023233,51.374895295104615,49.64167709223306,49.44474286882017,49.1060609270539,50.01862326015199,54.32724722324464,54.39857688230813,54.469110723122654,54.01638832079233,56.92823037556841,58.103923800663196,63.88640078103268,62.8148021393693,61.61504005420038,65.7321566139334,66.92639062118518,69.17955887686655,70.03325192847825,73.60722765532502,71.77211888615432,69.46820907954071,73.61704650720073,73.68983264118208,73.19740077242315,73.5533373613999,68.19467317777928,70.33076263705657,74.25367036247697,71.06890235054004,68.13453306602528,72.50182021172517,74.44164078041214,69.32389618011291,68.96511659875377,65.6770224829899,67.46033293906487,66.87409624426867,63.09780814054235,59.234914553673065,55.48128747263,52.78996875330783,48.86468859367425,48.55248739514737,49.01082075754345,50.43035039530787,55.21828338213361,54.29942842433011,59.638194162235656,60.59360891543857,61.817313225151025,62.541302787895546,65.23515274135934,63.29099792252699,64.41333511799493,60.997077030742965,63.66848838240827,62.13321277010994,59.122610946998186,60.49396655746585,59.12958545761351,58.80006497476781,58.850924098620034,56.13556113711681,56.88193934002117,52.93182441870327,50.28390556867222,46.692283858917996,44.48327519293821,41.600948424213875,44.50235348529067,42.434424610919294,41.65184528509504,47.125177550519226,46.82343502448484,51.087872823922794,50.02907045376735,55.068368194846364,51.30887872500222,53.56980519824426,54.24652685180741,50.1434665182315,48.67720000154751,44.718607526571155,46.1700159732667,42.201184374277304,44.62436953225365,43.70472113635394,45.584508225996395,47.840384958875426,49.751235239273974,51.941803612167945,48.78607057919144,46.238418615043585,43.40484037860904,43.606729677155975,41.9928654443812,39.665483670377185,43.76651361559415,41.60394009820362,46.06480432898868,48.32929566150755,52.60927467529565,53.10534058445808,56.44343377706239,58.739460671421675,58.3572664484282,56.128163007365345,52.65398449754194,51.25164558420227,49.96619533582434,48.68470789668874,51.00299094986692,52.8265984395456,56.992413518132935,54.9183959538415,52.89260769125841,55.374104459056156,52.30710353588171,49.96946802913621,47.61758676239746,46.851225523664816,42.528154379198305,42.50880992589436,38.58261316268712,40.68456499311607,35.61535171322453,37.609260715539065,41.60317072455188,42.41025056391845,44.71105325042983,46.71290754831044,48.82471855077211,51.2843125962071,53.327489905127344,54.21244810147016,57.96528703881854,59.90800223799312,58.550046512661936,60.93255515550983,62.9816248075691,60.57361004194688,57.06395698204728,57.04190797611473,54.70024016532198,57.18986698726827,57.05911927488395,56.5024280340362,55.43162896827994,53.11160550426306,57.149205520091066,59.296798846899776,59.740971988885384,60.71939551420767,56.28834791774348,61.40739565034228,64.44073568003444,62.35803071629232,65.03320796867193,63.76233584149469,68.86440439614785,68.58003625891833,69.09477742612059,69.40261785070226,67.12139579041256,66.01742163601811,63.34475434866656,62.653257761703145,62.032249100336884,57.32248909667828,57.150222718233145,53.59484966115667,51.26086638685248,52.16170208390981,49.478252446521026,47.02842533139413,47.54504202849535,47.74392141470779,43.49636913069477,42.34839596870724,44.10565342049019,42.980528823080654,38.300380981550646,38.77826479637068,39.09116865248735,35.58406884666026,33.915402739027556,36.13688731380727,38.59040752742936,40.60692439351336,44.76806690432121,45.368096622465195,46.23933917934995,51.65502435533091,52.91494368105555,56.167482579428594,56.52370531661988,57.25157867051048,59.97631569100203,58.50644195486138,63.233027201233305,62.002723965932475,57.16055348980901,60.422771960814394,64.14473474106738,60.464663264724514,59.13413912108186,63.09216166135255,63.14214439656935,58.90721264412948,59.75000262760717,55.04170018473303,57.019770757121535,58.76824923007867,55.91176366845581,57.01451188675599,57.005833472726465,55.23071605809477,53.27949666879924,51.92176805196577,50.84785611502928,47.814181899028895,46.87984180994007,45.72808823186482,42.90977871028729,41.66614712512279,44.42196219782406,42.14054387206546,37.81368329039499,40.51069793791238,43.444293553081465,44.925274417087216,48.62953312718849,49.867810882526996,53.687029539093245,50.816653215586825,47.594681270839075,52.468741808606715,53.19932966729926,50.086728191541646,51.32226299801534,56.48220409948861,54.276564108787824,50.897385599267494,54.84521177948948,58.23336758278336,55.67471392213602,52.76930067190585,48.35371519612532,51.4406492155907,47.414677710127165,45.75759547313894,41.99735005628698,42.09358714930356,37.9239209654958,38.81619518820543,41.96880744724635,45.423997940386315,46.943674684229606,47.507396939392386,45.0798306187707,48.291014274372074,45.245991844893574,41.82192130952386,42.75710658218349,42.26777295855156,39.69424747410049,38.44171506205723,37.15935288973867,35.13621406218209,34.68129301585074,33.0447199825146,32.918270498399416,30.714447171001474,30.431489220555314,31.064237540532464,31.095274598870994],[28.53512239659788,31.610621856739687,35.83815785783328,34.20265790435822,38.9617392757956,33.798526485903054,35.484926062198014,35.94005811323815,32.79668732042933,35.34244880630137,34.63833685950683,35.5666514111749,39.59280160980005,37.063168270479316,39.54589568322994,42.33212002661452,43.6200427679973,46.9112430270716,49.980667706435,53.18911616954651,56.1794334308227,60.565662757569044,61.23396849624403,61.6756829660498,59.29861916498257,54.90140748508378,53.65471754817651,49.42386944076776,48.50133714214122,47.01675971768389,46.34482624799465,46.5410507742669,47.34984613887707,51.435708103293955,51.65873018826809,51.57571690234059,51.53318999881723,54.223368106597796,55.51324863542117,61.48025876185016,60.1516667873462,58.65303896714364,62.810711619798276,64.03255482445435,66.0980683813426,67.02664208519249,70.56640313058593,68.86671020071125,66.76626367037305,71.04110856346932,71.1149731025635,70.78465950065605,71.06466011209704,65.68689210933529,67.87272637061294,71.56246885551775,68.2077785724667,65.30847622802997,69.62395300204335,71.40304456219296,66.15562875021028,65.64201840118803,62.36928919411535,63.87679225666522,63.42937909390521,59.82165349467234,55.66339878102258,52.03484462564995,49.1088195093837,45.222484466496994,44.7454249461107,44.925658867300314,46.53588351314654,51.335836205217255,50.71647735642967,56.01764086045099,57.24085131165775,58.57069202916483,59.496337831763356,62.30804823110118,60.69543614809398,61.991490181472244,58.881223770208656,61.682110482840095,60.00731981815948,56.821988228548555,57.82770752554174,56.60465619275239,55.84049552093313,55.90737417395851,52.923559563245426,53.4277646733094,49.54655774401844,47.12970941029206,43.61774581605165,41.25024828738396,38.43813522274281,41.84344284537559,40.09913482865335,39.89972561117657,45.114301412027196,45.4382555012548,49.35041864929392,48.792634574825826,53.89510843964966,50.28673437255828,52.94263276440951,53.702494972497185,49.71824158662277,48.08262733489508,44.005992909624645,44.9020655126231,40.67051277584351,42.74830872222079,41.309572212201644,43.057900794790044,45.00785474220105,46.827833202989105,48.58412887722432,45.52860148977413,42.951557921219376,40.34333371538905,40.75662567818958,39.49063259136634,37.545444423816896,41.974906199694466,40.48186054961814,44.85541962840229,47.41638958999416,51.66483665735803,52.3844321575263,55.915324034143445,57.872583200547716,57.41912735789424,54.95779896827232,51.2393188589118,50.04402060044381,48.2974268985034,46.67456904234536,48.82571208516575,50.277831863208505,54.26654188317013,52.08556251383024,50.30683967820251,52.80208164937561,49.7463279011093,47.54026071855279,45.3968653590658,45.010440997644515,40.769940005407165,41.27696547629018,37.2500277840617,39.786402606443204,34.84393375583889,36.23040229156555,40.168006008933126,40.635053424405946,43.29402310340214,44.80708718537855,47.325973218543226,49.478366885814125,51.12946038473745,51.98847864285537,55.74647151952607,57.85774991886533,56.48027138653867,59.185142807009804,61.200924519050325,59.07304698802453,55.39915497139439,55.488275769212585,52.91548446314294,55.39268650151729,55.2674490168237,54.63605370238038,53.76735963301266,51.1347113772891,55.424808221663476,57.41958677646228,58.145475238135454,58.994926172172775,54.906706276352956,60.13676665595652,63.137161559524635,60.86550764109217,63.158668409012066,61.57105662429347,66.70181719857567,66.35539159528432,67.1766150692063,67.65484384001648,65.56298887790595,64.70359869322665,62.21835601334523,61.78408923262708,61.44290043134465,56.70954065778415,56.869971958563674,53.558014603833534,51.178144701245195,52.58041663955769,49.87879292358049,47.14258737036814,47.99637617553625,48.577718828143034,44.142983333659394,42.81838103776351,45.0918896785573,44.24770869459899,39.2268157575481,39.93629741572416,40.69786706285912,37.01032013787788,35.13092965453099,37.8545605244874,40.00542885492741,42.63719468083141,46.27908534527936,46.826041451807846,48.083086852634594,53.51840070988747,55.21250744157594,58.21401651681608,58.438056443078615,58.82315985217101,61.441880179458614,59.63511947484445,64.3529596586974,63.29595971856335,58.12561503041237,61.19662792534079,65.01711979311895,61.29181835957612,59.67404373355609,63.463013982861916,63.6665425462021,59.396914056893344,59.75406736151073,55.33247334549239,57.11663815784921,59.1542234166004,56.624554004459604,57.65432679161129,57.994567533404926,55.82962300229583,53.810225219738584,52.97422517581675,51.78521998593021,48.437016592842035,47.84913520589135,47.0314337199184,44.122869704577305,42.85487385778888,46.08095481824834,43.972100239598404,39.498352810669445,42.38997085979024,45.59167346467622,46.837871166763954,50.44256594664998,51.283612022797904,55.24763126757475,52.65119079100868,48.98399457249316,53.71685013439316,54.71203794790396,51.54317700787752,52.300711168122746,57.716667987132766,55.68461184069775,51.91839178209508,55.617105933375804,59.338306223976524,56.85593833447274,53.6973326573088,49.12547616127794,52.37864283421895,48.21421922235093,47.003430063224506,42.82205616402844,42.9176454338225,38.5247786506063,39.21329080292502,42.22042446088046,45.69236767873035,47.00795488092463,47.82468864183118,44.93147450211708,48.08242374090987,44.63153074975716,41.760883015024696,42.68263724889665,42.61301201382482,39.63630990057742,38.306130656467076,37.67481569060568,35.60233447068194,34.36172016398344,33.14596746221049,33.749469261720954,31.810165487166966,31.6324365761202,32.279617645085146,32.50408094934861],[33.20022433500801,36.353790553391924,40.67353475618634,39.08217408832446,43.88557114735558,38.72215590851254,40.37261333368235,40.74302748222402,37.52985941899277,39.97670412126048,39.090633277550886,39.96407951734761,44.09148282971895,41.47880988173919,43.73609768777656,46.5982517163333,48.002889513708524,51.1168121945571,54.115718298747495,57.412482982611316,60.29070451271592,64.72760049697482,65.31991682414106,65.8315859621423,63.580867099586484,59.16280565807559,58.060528440072886,53.85869725212486,52.8745243415584,51.403419263495636,50.37238276469302,50.74315316572615,51.30607285216358,55.30034548246364,55.76113024290006,55.76876328843911,55.88390443575694,58.63506692317995,60.02798622097152,66.0367562016214,64.68006770410658,63.01396264428631,67.1564282556382,68.44814881325622,70.44112097725908,71.4294622422388,74.94146885344303,73.28252683336785,71.30105393917417,75.62301450641625,75.65181827094847,75.36628886476797,75.56901956089153,70.20726961027555,72.29870856826696,75.92197904841962,72.54672918147114,69.57418101825971,73.8138428839493,75.61528733660268,70.30599643144959,69.60168475904476,66.2681689399792,67.66621999213538,67.40804143298352,63.88500419384669,59.58913000564879,56.00310549151138,53.00821284615139,49.10320652078136,48.57784570980133,48.482797371268255,50.14254715590399,54.96331947519055,54.47371644963085,59.59778783323833,61.10266278736993,62.32132216147515,63.460564560382196,66.41599765870066,64.92823775177617,66.39679815221733,63.32452046637807,66.2512509820151,64.61869466642625,61.32595879161126,62.18893512915605,60.87315113078544,59.98011451482274,59.823170370443364,56.76143372684541,56.9852315779785,53.15408064372192,50.81401925523036,47.516583046239546,44.939304109709234,42.36713223757869,45.85859465542958,44.2915423773433,44.04902127401252,49.374050437511215,49.87291626241015,53.81861151036929,53.42142726741104,58.60119720314535,55.08900286733009,57.7418647561275,58.56785561363602,54.59893674938434,52.916365015846445,48.88445099796783,49.76535932353509,45.50905534494137,47.56330524798295,45.98315124334992,47.71433630936676,49.52695591922599,51.317046733321206,52.82390705338781,49.803025230230325,47.251252588968015,44.771406259974185,45.297812412561655,44.16960369414964,42.33511957846009,46.82578243089894,45.40031962695315,49.76625656073571,52.33518654941971,56.55719153219554,57.31084574269478,60.82721216952696,62.7934018696599,62.30505814197141,59.86712692896179,56.12657356621736,54.9534500592842,53.15531941356562,51.46055568374306,53.57954733468736,54.89322350001697,58.81567990901061,56.60128791405348,54.92523420229762,57.40373399835715,54.31563546747752,52.1861923698507,50.05951743674972,49.745948913123186,45.503394569420344,46.02039802768473,41.88730337823155,44.287304619226695,39.1816674055366,40.50575149864001,44.55235605774302,45.12641528452898,47.896164113434,49.369914367092115,52.05911874579491,54.25249106520772,55.77323700786275,56.70605110163568,60.42661887672032,62.62123676590879,61.25009277164207,64.02485840932661,66.01836955577002,63.93544257464934,60.24048851838817,60.362158891356025,57.7541803777715,60.20769540701615,60.04475126735753,59.3394399498516,58.433308519813664,55.694871778912464,59.944904273860985,62.03041040212492,62.81449227891417,63.75337608014182,59.71436391541049,64.98323929804776,68.00062560445153,65.72061261585971,67.92891471743211,66.26119086904411,71.40596234624252,71.06825181205593,71.96686328554837,72.48474735218659,70.41952991567067,69.59885047671683,67.13192468650422,66.7088889296835,66.36376400946477,61.628801214622335,61.775849565415776,58.435048942595806,56.05928633374737,57.382861728054536,54.66123351878187,51.98857370415336,52.79059438201325,53.27739695610877,48.87982881028366,47.59329641621837,49.741687967825214,48.799132459120656,43.888166558037774,44.51303701078334,45.11969458639551,41.49446469830648,39.6734411423396,42.178247942823134,44.43152791163578,46.84244469676085,50.62687954542874,51.27653758837987,52.39594648241456,57.8296019267728,59.29692698332209,62.44892430879201,62.749822805443564,63.2849761332231,65.93839757687081,64.23517812880482,68.96779685869242,67.86427754756514,62.79857426296964,65.91843570724315,69.7168725288252,65.99440594078186,64.45333653153668,68.28061252199733,68.42280982496305,64.1503915539796,64.61665688948457,60.156106450305934,61.97449946235619,63.95648776231995,61.34120238180265,62.340341849985194,62.54249191612442,60.44437511636735,58.518887428545625,57.530191744053845,56.283666390283756,53.0639275242103,52.44766474629794,51.45403113521221,48.54361878493593,47.37661259493954,50.425749093722075,48.183861745105006,43.80212508754545,46.67328335005629,49.74015886135313,51.12937368985288,54.7711547301934,55.76995947012835,59.694888490918025,56.99453153603598,53.50858548714339,58.295855985787114,59.191341184395036,56.03251885063229,56.95471925557008,62.28899919342879,60.148649755010155,56.50449702014168,60.2963107689141,63.89871731939555,61.32903514414318,58.23680377544097,53.69286216213882,56.794877242495396,52.61133609110776,51.3331789570485,47.30813898093732,47.52531601268591,43.21031117890272,43.82870855354418,46.90652242198906,50.331233893508184,51.75394362358686,52.59946524730536,49.806125590447586,52.97962100629079,49.55752006880023,46.63300034351221,47.51389176477634,47.34869819648636,44.36369705685009,43.14644992943562,42.399546869223755,40.253357286256765,39.17931134907156,37.980876163172894,38.402545224600594,36.313465595796714,36.04597883321123,36.6052147731942,36.68029671590759],[32.4308935726722,35.82175082072941,40.33509212573773,39.48992791221101,44.26787192606211,39.002249599280525,41.0163161079438,41.102221951069055,38.38612437778008,41.36256544583156,40.59068465861389,40.989478924896076,45.44435169037653,43.33843286223201,45.56709767984736,48.19347486696677,49.850974519532855,53.20815928562202,56.57835835019903,59.57717566490353,62.71851343447672,67.02003677228639,67.87567797149198,68.44416110328234,65.93950892805344,61.58826740629812,60.15288516314097,55.86190316790965,54.67925507156268,52.84271882534094,52.16762168408247,51.94403061337305,52.49073808303029,56.729898020680885,57.13325473168353,57.41944993387245,57.112058724875915,60.249928987183566,61.62410673354546,67.43305237520745,66.46386410296745,65.01001047924895,69.06778918866463,70.44855158355651,72.69915021161073,73.71890846156923,77.22607738084946,75.32235665289302,73.23114566624942,77.42274597405333,77.32116495656923,76.83555078923305,77.02907639001634,71.71494063490691,73.60800587325204,77.4996001857639,74.36229818365138,71.2379950243537,75.48823013555818,77.57121383510727,72.39468516586348,71.75125771476743,68.33284515460035,70.10031225267464,69.77932189706144,66.0380311568206,62.10189036338435,58.31546870503661,55.67047267530319,51.63779560645902,51.38804777817154,51.58399231171681,52.905345260583765,57.75323708139473,56.832128020806145,61.919457195425444,63.193683096212695,64.18956811597555,65.174817057656,68.07465584079245,66.22716424858075,67.62223323775765,64.18761452769937,67.09071513914701,65.68954765814394,62.483262131414854,63.69886592620422,62.10038485957722,61.69540938307059,61.359657047950314,58.616325357982866,59.04059581892992,55.1226475083735,52.493100373728915,49.18377762254551,46.704907847574766,44.14903016248781,47.04710128819392,45.18889525192324,44.27539386771968,49.950841946185754,49.901370983070024,54.248470946645725,53.46959887714607,58.67448922663688,55.14868688929473,57.43168629885335,58.32303508872191,54.31715222954306,52.64922973571619,48.82442027334686,50.20024327890232,46.175551774237675,48.65249836958529,47.501034952478555,49.49722338835069,51.53729366622311,53.57129687057504,55.41191504304792,52.14446644998308,49.714428553913464,46.98740315459243,47.499448392528535,45.992902047125746,43.750265857021965,47.99761998068432,45.88589646142231,50.32239068817375,52.60625655785963,56.74651237196556,57.48692273569087,60.74287488176938,63.0599550173222,62.47470898016556,60.41019059413683,56.86295985328909,55.702541716982374,54.312879845361365,52.9875005794508,55.153504954217084,56.95650814075884,60.995362274853385,58.74471574570414,56.79144118196061,59.1639351797853,55.937054542432755,53.743074623264896,51.29837748937314,50.5956972127204,46.23615073629479,46.19689931875223,42.03687253739817,43.898371805377685,38.56853763480217,40.422006563333994,44.593614452516306,45.60545450283547,48.09954471167198,50.069750281683895,52.50771514159599,55.149503978722144,56.96932487914275,58.134376342320685,61.74739223445448,63.94466807364709,62.75982124372868,65.2106960739657,67.36280518786882,65.03812611791643,61.48276227741498,61.39318496455408,58.931348312214546,61.24216162062142,60.95091995293943,60.19614701359869,58.989067913283016,56.49042558349292,60.41170455705149,62.77705623036831,63.30251758851536,64.53615859256911,60.16863763282548,65.4059220663644,68.51560931250647,66.45985450734372,68.9636644882578,67.5892291004236,72.74261743368704,72.58573273057283,73.20093363731924,73.61698415060279,71.31933790867731,70.34846183572624,67.72049863219453,67.06162585350154,66.52446190079019,61.84263943644071,61.62562754841916,58.11821683035639,55.63715931004781,56.532831602645025,53.6932055961737,51.34770719666123,52.019942170350326,52.063011563309075,47.79053623946446,46.915776153955655,48.57271361603457,47.172082083238415,42.69981284435271,43.27567635465384,43.41300251439899,39.83662835306954,38.431335259484136,40.60490043765233,43.17554508101567,44.92691175143868,49.37369928537889,49.88214107006802,50.58302668545212,55.97921960976269,57.07767237277587,60.39304921373721,60.63315997317704,61.43968207955505,64.08992529060342,62.61272147636589,67.39710234159065,66.26728079745716,61.51047360899765,64.71556103198816,68.53655486904015,64.95917529781536,63.61433303781808,67.56052052194481,67.7457944293467,63.546220458279734,64.3335098423557,59.580932071979845,61.369675340262106,63.04106963588408,60.08541377538825,61.00459336385577,60.80753370413954,58.99769659790235,57.28595261831203,55.80867618697588,54.512538459646706,51.65060457471687,50.86750245235102,49.457781187727015,46.58969068904594,45.62786944687493,48.25306805847495,45.76535332774216,41.602786253294425,44.4613908147087,47.24871107334415,48.94007760760093,52.58098352938188,53.89158167736012,57.73663372938553,54.916897743118675,51.87416399250862,56.739233360880526,57.529285459290904,54.494913778524,55.81627476473194,60.939929424292366,58.81191836405348,55.52889786794306,59.47312390686615,62.84196617409782,60.34503640576246,57.49666936136778,53.11957078932387,56.226668993879585,52.24137353011499,50.488758982276714,46.79803989036132,46.80382278513876,42.62364998265795,43.6457608499464,46.780792468569445,50.26470396400803,51.74083194807347,52.196739965549995,49.690515824976735,52.78825210102856,49.691198371232424,46.21454737084719,46.89768348023253,46.29999269888999,43.54544520561076,42.61461363350757,41.31462292665616,39.032150958549565,38.7149884602262,37.398821031713766,37.119137706877645,34.66545398921946,34.23125906591414,34.7292412272339,34.60346112375262],[29.58803369007863,32.81397892860814,36.97188002925617,36.04873341189432,40.418654527761795,34.80397235201388,36.50290181744094,36.27336156386587,33.42269182081207,36.36995987121685,35.386677648827614,35.6119070436619,40.23446677485906,38.25835349948654,40.24902026594464,42.838367599599074,44.71043798427972,48.01592170696376,51.56769764862454,54.438180092179024,57.645805938276,61.8975022916525,62.874882462047815,63.58831103167703,61.02142543987639,56.70495793371834,55.20269461295746,50.890328055092496,49.501520858742644,47.533118503267744,46.72840703306729,46.446144187994996,46.886701376469595,51.1361701039221,51.61297829412264,52.02051909160783,51.714849353319025,55.024207532866505,56.522300405798354,62.304121212212145,61.49583576213712,59.91831461737473,63.90398966567436,65.43701396052401,67.77446547900163,68.94629200328176,72.3863949073033,70.33545560208574,68.39326178153459,72.57346920792301,72.28689047344928,71.76491505304546,71.84219017480348,66.57663770631117,68.29278346817283,72.19756859718787,69.14158282555803,65.88719081948123,70.08460872325584,72.29382519618827,67.13564636926553,66.39797873427516,62.91869065318586,64.80321691975499,64.55235159608877,60.753463778601024,56.93758726116171,53.063330219002516,50.60597284939397,46.478281703465406,46.39825398049879,46.671093973468864,47.75842520311267,52.62060700267088,51.50596084245491,56.51905422217338,57.7791320075686,58.664859137314046,59.671182121261154,62.61956238907491,60.75704195155618,62.26559089635779,58.81299186547116,61.84210809706064,60.538227625990636,57.21234664084687,58.380118675344356,56.642672969729176,56.28100841382631,55.79961824391892,53.116364771124815,53.542701156682874,49.608441653306436,46.91713712918466,43.65985279485523,41.1595740199588,38.67909423143572,41.467578539908736,39.65569365014074,38.742396666995575,44.444759262878065,44.5775125513834,48.89629699175769,48.3478782599973,53.661610109863375,50.349527628633865,52.77037370087123,53.88447572023902,50.03022056025849,48.09900451824606,44.37206529655416,45.54102988262484,41.44414130347297,43.98199413856714,42.66116695214785,44.84937216737705,46.74035507290115,49.003953864468734,50.680486480972895,47.20875937640806,44.943489733018104,42.20048395819195,43.02960198386951,41.48773830655157,39.238196673422266,43.613958998843785,41.570922279729864,45.94671533193919,48.29676367120771,52.25064993827481,53.36410616629803,56.56128942077771,58.80023849426443,57.94889321492672,56.047229890627484,52.38479619554695,51.62360815840321,50.081901400168725,48.78043963180017,50.712421918064265,52.68132270996451,56.57981104444298,54.104452157378354,52.122545095696196,54.337038733847336,50.94088414004905,48.86621516257701,46.2904425281767,45.620716753068805,41.244267916305134,41.25029461120384,36.921538162935825,38.766852704129924,33.387907660433626,35.01395098560034,39.229266675594495,40.277624579805135,42.91905191594059,44.812416727225525,47.50024296956571,50.2742789874579,51.9080894167973,53.361709868173435,56.80852502400556,59.267605944670535,58.35207190139218,60.83096006886434,63.179805565336295,60.97273708439686,57.365521443112,57.12341481492671,54.500318735698905,56.55580719971836,56.08783826065076,55.155444573393595,53.86041230780251,51.233443012764475,55.10467671986448,57.5779495706167,58.178382857618686,59.59553789971057,55.324808262145524,60.68191013898956,63.86279340335951,61.82226433698392,64.1277860479537,62.681713505522715,67.87060962091601,67.88110111901713,68.56533707583135,69.11812025428306,66.79591880734813,66.02106133689551,63.484067661889725,62.922651243176155,62.60373922179899,57.97259028729086,57.800824957949985,54.495331429988354,51.75861115035012,52.94348695601381,49.88880750440155,47.497630434423314,48.612629402954134,48.70825806305453,44.25408170741168,43.69348186028363,45.58662630551658,44.02640252276353,39.53972332175707,40.51281865795815,40.815663456516965,36.91956724628289,35.75329973928942,38.45749796393983,40.940643819732905,42.916480944346254,47.397423372245626,47.52877851449297,48.37293986591824,53.775320419201734,55.24314159208281,58.27646279902322,58.134775119421526,58.637617290066416,61.0769254534418,59.259941888266404,64.11584102718315,63.287009161185054,58.32716435562746,61.29152107840352,65.35150129001015,61.9059166492737,60.290001955447906,64.09783107966328,64.66868160713591,60.51303104175273,60.848007864872464,56.1829236381139,57.547881254155996,59.300784763199815,56.45925955302108,57.139994922499746,57.05213718890185,54.923422228854456,53.35436557684422,52.16479414470097,50.60941682321187,47.63737548897377,47.23979071789743,45.89205043328892,42.905305655362284,42.153762099959096,45.106662832577776,42.61987711691718,38.432460873204434,41.66534254551326,44.62512002932816,46.2727078413325,49.73137721378193,50.702998481430726,54.73402286117919,52.28483220498309,48.9841665102285,53.69918938449985,54.87527566488023,51.91243588347486,52.88627445980068,58.212623899659434,56.48001421120708,52.972725532545915,56.65201915367791,60.35013458617815,58.1457026169929,55.16845938408697,50.74450920456433,54.256814125779655,50.33855547516646,48.683953805117234,44.6552384995573,44.254561719684546,39.83310133386172,41.17728768618057,44.100256571262285,47.733201460548,48.860070663096046,49.142434685061865,46.18831000681111,49.038934343733295,45.713943477040225,42.38418385819885,42.74064091224381,42.26922602139604,39.14384009024768,38.47506590148853,37.5262130639731,34.960936934363815,34.36258616027709,33.61598256391811,33.6093336998711,31.08800655240803,30.622168024680825,31.089397323401467,31.0609257121334],[33.17299351074489,36.195740941549985,39.99571769733683,38.78571280214645,42.77375281598139,36.90300674534342,38.07522512950091,37.52080904151926,34.2835384800404,36.835166047061385,35.35376446723609,35.490223668557206,40.26654952686501,38.158527703627506,39.585257439481225,42.29993605930593,44.46827999695084,47.39111527948785,50.92761431580588,53.8541065603922,56.90329134219381,61.196161638561705,62.136334499594845,63.08677971094232,60.68798875857146,56.37126945728697,55.085516711823416,50.82822173639738,49.198710301396396,47.22994623367808,45.690308105277914,45.7741269984906,45.76760210943616,49.80203224478369,50.698009361818634,51.27188726085337,51.314258260415876,54.75689349489296,56.52683858069928,62.37425400076617,61.5946945252824,59.602700252279355,63.50365772877255,65.26880055949356,67.53019616903352,68.93772451606789,72.26056642956685,70.17117900587391,68.5848635947183,72.84128240311871,72.33004877701147,71.8848889774031,71.73618061295166,66.54444068525466,67.99156555725463,71.73686530369562,68.68311987681085,65.2405328293797,69.26487289453956,71.56198801427874,66.31334786791398,65.20320486447058,61.60414197030167,63.37292839107937,63.46556963461367,59.782708007701984,55.8240406725951,51.97378157652946,49.540468902223495,45.328403030552266,45.297595353439945,45.21114130691742,46.18949821810265,51.081318650263945,50.04375565025884,54.73522970861851,56.41924612954332,57.09516912231422,58.45413155011094,61.656042253321274,60.0584120210353,61.93837782104888,58.64393444541445,61.97477183555024,60.76398979600689,57.151384874954225,57.96428876393567,56.04470398233001,55.40880253805705,54.52050374683405,51.71296266673757,51.703546772206465,47.85526213320096,45.29854762699883,42.40946734764816,39.58051385875045,37.51976594024294,40.49050116222007,39.09216459373523,38.38172249519491,44.07176394052303,44.83444761984846,48.9858375622067,49.037947514551405,54.52161834729057,51.59208543810406,54.26008640446568,55.66266128341255,52.03137449151094,49.777050109856646,46.1730604278008,46.91839565730495,42.6679594705372,45.071246885682164,43.248259771730716,45.52028479387965,46.99210456324516,49.38402636682012,50.4554209564686,46.88471630788796,44.80384498457177,42.29765786495299,43.61731649210353,42.34311427058844,40.38030271789876,45.025212978581735,43.39564357429257,47.63896585327377,50.149465457944245,53.87338862752175,55.41905114050416,58.601236693663864,60.64744937699491,59.504184290302256,57.6954171241681,53.84018917824681,53.52840765131247,51.63659970683367,50.15566328871571,51.77351031304259,53.58775007159942,57.205473997350886,54.458597869055794,52.667382047956735,54.71321926753611,51.14663711897462,49.330684251801635,46.75448325410256,46.35193759397612,42.03347455708631,42.30433435415111,37.72410289307374,39.54985705183825,34.08760564370439,35.13664336220351,39.43489442946049,40.48821873160466,43.5089712040707,45.070373512826485,48.318145510209554,51.116382904309454,52.27224492944147,54.054346793289575,57.29258677538953,60.13824119134468,59.46598842060416,62.156223515102184,64.63337940119507,62.68718047585586,58.965933679099074,58.668633857109974,55.79187372188167,57.58023079747581,56.914367247353766,55.713415472734674,54.379230702421815,51.408223106714296,55.256982467708255,57.86522932352891,58.704906287790564,60.3376623658311,56.36119628478332,61.88025022016366,65.11637282550946,63.02026286108029,64.90139099681404,63.18875476692105,68.42163000823335,68.57584049333991,69.51942918016047,70.29986500991538,68.05763031938339,67.5887874652001,65.22722929106537,64.85791543300896,64.82487556648212,60.248998641258304,60.22120648824746,57.15983280757082,54.21797284845668,55.73219182703184,52.49693093184392,50.049872384908724,51.58365684343245,51.76164849382605,47.17501237333722,46.83878678296575,48.96081822553137,47.294017272802996,42.83216731050413,44.093681204043264,44.52641820332003,40.43641282120885,39.43583747835793,42.462431771708225,44.85017305093222,46.97819595283745,51.40944380280649,51.33960284288647,52.28266025535828,57.65970389636252,59.322257966199395,62.187550338580074,61.78012167085803,62.075360726000646,64.32760834342656,62.2350896453046,67.1337137152031,66.57129402264607,61.469681216349336,64.20375759654303,68.45181616080468,65.11980065898494,63.2707521377733,66.92532927378619,67.80435319951849,63.68659723101713,63.59180293128821,59.08454468711883,60.0567497080009,61.90845788574933,59.20554908163144,59.621807626757416,59.5977096583289,57.14881652430304,55.79337272239297,54.87312381398168,53.0104834804212,50.00535079252941,50.029333383149265,48.6795091176563,45.59943340585072,45.12512994931841,48.28687660792448,45.751811772441314,41.64538697560616,45.1749188081963,48.18828970065757,49.851932978341765,53.13802308612131,53.85647264459232,58.01552850539166,55.86636210691424,52.42137222453639,56.98786468297497,58.45317218689268,55.555836422521466,56.252011138238196,61.71407741694967,60.25291236597841,56.57786647522095,60.036962591900206,63.972700403310036,61.94672666985812,58.8622868644463,54.39528304080207,58.11200581996171,54.18930532463593,52.7077350700491,48.45126347607613,47.869852395673554,43.298496931265554,44.725185838549294,47.48590629306051,51.17038334117733,52.054975019324324,52.31998104526955,48.96326553809884,51.59387078556959,47.984811694437965,44.96448343707508,45.00325243563598,44.70055552880072,41.14669953467985,40.78975667641653,40.2725425567274,37.428379390192724,36.46787983478239,36.36781576644678,36.67636742618445,34.10864796567062,33.56645108170057,33.911392740340695,33.88906229719827],[33.25836733715729,36.01173508935382,39.45911132541434,37.82538370229689,41.53590919073212,35.61005654971852,36.34782371500929,35.76001044309136,32.16498640634047,34.30704794462364,32.58035557281544,32.88507556896679,37.54457671353901,35.2106430247573,36.4238511590223,39.26214428091987,41.43624135586696,44.12578483409023,47.53902824557101,50.56443680326645,53.47562430424363,57.814901361499246,58.66843227079971,59.690997034318784,57.422680178517815,53.09804954300073,51.990627907283006,47.7940862866751,46.14050842860272,44.316764621043994,42.40617412521396,42.85521158750687,42.74211462567901,46.59881081437939,47.61870514635829,48.11753424455817,48.445856193611355,51.764082709607294,53.63590045309826,59.56668636838246,58.66436422080301,56.45089271267351,60.34260732006886,62.160568215296564,64.31675784260376,65.81075234010117,69.08224552193307,67.04689441626671,65.63648351387158,69.95977905990264,69.39877835787276,69.05604598184608,68.82786427597954,63.65073192082197,65.08159997347057,68.6657440055848,65.52827684028188,62.08737831261197,66.05331281300039,68.26900955002694,62.951231166059145,61.71531004984673,58.11984412983421,59.73265311582453,59.93616243844188,56.361687999802044,52.25303713559854,48.47573162157223,45.954077556959604,41.756542112794826,41.67346309972083,41.409011659223665,42.43029490382185,47.317991649237285,46.429099275067514,51.05697038340496,52.91926569648492,53.636618486589725,55.13660597057769,58.42227846583568,57.05226574528758,59.06791855771726,55.99481250064123,59.42787112086371,58.14952115794357,54.40833584294551,54.95559805748888,53.10523750331218,52.18470069628563,51.2718375005266,48.30052193111801,48.119481841134174,44.3258864001102,41.92609997613194,39.13049873019288,36.18666375313859,34.228442607571495,37.51415340915417,36.384769907708744,36.11407326196009,41.56279577358017,42.81044197594385,46.66658458151807,47.1188827125294,52.62679341596307,49.86318895544295,52.80445620032962,54.29270879135658,50.801944649083076,48.40520956934633,44.78382783229747,45.10679735794241,40.718969950789955,42.881486409823104,40.685586299328286,42.90493493225169,44.10685817173658,46.491030289228085,47.20711532532136,43.66308798300213,41.642495858152955,39.31354048386169,40.87329828936606,39.83297507107525,38.14651829900294,42.97387872791586,41.813306574404045,45.929632028977,48.61776852486227,52.241502702264015,54.00125174610199,57.26859722136362,59.06202593997473,57.8227343191199,55.913929479760554,51.9096693241691,51.8333927855752,49.62804471663123,47.954496513163164,49.38259606361987,50.99058193166144,54.42327905164263,51.558338339165815,49.9342782867824,51.92543290743152,48.34273052432821,46.66639380945117,44.2153515013238,44.083099554814865,39.86668205218943,40.50339375827719,35.87882910281331,37.98181022686484,32.6951793163643,33.22265017709018,37.428186516314206,38.232889842703855,41.50815105510136,42.691540706482016,46.25050226471581,48.85080172691397,49.68530135272479,51.5164874493764,54.6907298449367,57.69779329235922,57.08818358413707,59.97586742423563,62.46669887940366,60.74117734274797,56.92815194281765,56.66401061937966,53.618327262826256,55.31849457805006,54.61449593300355,53.32836855018168,52.119234833463395,48.92531480437118,52.91141705993066,55.42074555759331,56.4636965616587,58.042763127093025,54.34165300869854,59.922065449922506,63.132351520904365,60.92754908256617,62.50353565912457,60.575150037790955,65.81604909872603,65.97416119390424,67.12048519159094,68.03947587261621,65.92209593232093,65.65666016056748,63.449650722088656,63.26819163764556,63.46115794416824,58.916800944329395,59.10979944357146,56.2700216195359,53.27264583637161,55.15472020588558,51.900263572166175,49.28102893278023,51.09984681840623,51.533428328877626,46.84414628842202,46.45636895127016,48.922410276757944,47.433548607363925,42.80340860494154,44.260132560337865,45.000023734667046,40.80304730180435,39.71838491944703,43.099248173092484,45.25603413035094,47.782133979381875,51.853308470401956,51.68491439962726,52.89011022102998,58.24048740088731,60.23346489457425,62.87185193058214,62.32665437916015,62.343909322193575,64.48024414143839,62.122549737890715,66.99476073780616,66.59779596394092,61.27620080132061,63.826326501746436,68.1541815452784,64.8346511523599,62.762512653126635,66.26032336499047,67.30547348131346,63.198334410711304,62.70665465292291,58.432957414316476,59.19088011904778,61.23447385157402,58.79005908988481,59.118871117726385,59.3584000515713,56.60908681638428,55.233766606233395,54.72687468614706,52.77071391829379,49.554388042845815,49.87078174471721,48.78214632141272,45.660687751422344,45.19486716389348,48.689715107204734,46.31205156900758,42.14505609462508,45.80193258501684,48.99294439815754,50.46758861021761,53.63504608517093,54.028150672937805,58.27783731363544,56.381643025653005,52.62700435104808,57.03805094044741,58.72784621052686,55.82635007355737,56.14933282108463,61.77090983152951,60.499527843728075,56.56778931551247,59.79402176643085,63.9748852761919,62.064857535565494,58.82179143231917,54.28579266977162,58.154022826266825,54.19719492165836,53.013848634848415,48.48124643114578,47.82416848309719,43.13145668448928,44.48467732693307,47.076151850861265,50.76073418931996,51.437557449776826,51.81475185852809,48.11296582001107,50.62062153461073,46.74678091039164,44.151275379647394,44.111211081335334,44.118453003837445,40.27432220022805,39.91959961102753,39.911009288537166,37.034181892937696,35.508603200878206,35.8046859237258,36.62192111134564,34.274092433096634,33.80971486109429,34.16052278457356,34.2911918594633],[34.44538916112707,37.33732491311274,40.781496085184166,39.84628682595157,43.299437917984626,37.12890565526434,38.00505154149745,36.87456197800903,33.718896121378805,36.293552201473595,34.46105255009963,34.082994021907126,39.2090124702621,37.48268442156633,38.329666102717674,40.89493272206546,43.53898284403854,46.29787094565975,50.13846553536481,52.79470787064011,55.9231435000036,60.088107945730115,61.23795132040181,62.45329921275177,59.985549847382615,55.77169126287356,54.38274328049941,50.13694746023147,48.113237581301334,45.836779333292206,43.97720064613897,43.85526986650742,43.446084190548014,47.470372261307006,48.6609578389014,49.61936181877172,49.60675948868223,53.4784744484319,55.47302229529979,61.166614234853895,60.76185030105198,58.58352421693695,62.30111962958326,64.3530641651849,66.76356766105575,68.41859977523737,71.60330008570726,69.26122402734607,67.92965400072035,72.11680763415217,71.27366446606162,70.72618104296684,70.3589135244604,65.3067503979858,66.3282368870378,70.13483000445478,67.30861353037919,63.581553874840246,67.44136249008689,70.05151539944161,64.8726567248379,63.503193757014536,59.75109316755981,61.74999658215987,62.075543869419924,58.31589797118753,54.60880337247806,50.62615215158683,48.58531305939911,44.230070496956124,44.51747842725981,44.43010837295322,44.95436871849155,49.831354704677956,48.44733162813377,52.794008876173116,54.592877993124176,54.89273412182867,56.393883400108066,59.740210143612806,58.07674292422636,60.2152029764182,56.78931623363723,60.36115414617071,59.43750399007802,55.64953685540936,56.42876107156994,54.11785742879718,53.66718332314757,52.28601837448071,49.678558425199746,49.50253188874344,45.68254356361734,43.000092110674956,40.44278863153326,37.47304828122037,35.817450868746974,38.359848154877525,37.098550471026606,36.03807309371068,41.92438045826456,42.84051608388906,47.10305500898198,47.43897359804908,53.0678688691171,50.53820765704444,53.1707687661786,54.921796358232626,51.53146337930635,48.95129750887639,45.671687704030596,46.34655153328797,42.175208755207024,44.7708908390059,42.84044300623077,45.41362549918236,46.6593769316723,49.38578035561031,50.182281928952634,46.318329896171484,44.56261960299569,42.07975916142161,43.85591730969229,42.510493849531,40.49698401229049,45.14441987823757,43.39150855356022,47.50086347408779,49.93026987139667,53.306243604966824,55.31281459390497,58.253316399306364,60.34642254209392,58.81171267695159,57.41712649816483,53.537999535933245,53.7376283269926,51.82790877416844,50.50229826265056,51.810874151220204,53.90751264914341,57.31069332291753,54.27450567146437,52.428782973037336,54.18619131540404,50.35795042114465,48.75940237413317,45.927049069301866,45.46119590514136,41.15632567962155,41.23923262325251,36.445126312735745,37.81815765592053,32.195018110838056,33.050471245479514,37.46159567285417,38.85106407320477,41.98397250424749,43.60218617618642,47.16336110244498,50.32917696555982,51.251261584530134,53.55123494238456,56.45519417677955,59.67207369540136,59.42901099954648,62.035463199166834,64.78000664071932,62.92276390578946,59.227904058786464,58.68039270262482,55.67704354313137,57.041748141670624,56.07078820003695,54.568469926934,52.9608923157829,49.876270637868465,53.41215275212862,56.350681271958585,57.209799913979374,59.28182530524625,55.36787330962038,60.993217760828415,64.34162403259865,62.383528787292896,64.06051769484246,62.34183226532245,67.58908286280887,68.05139588176806,69.00777152564125,69.93732587566143,67.5968753809655,67.33430463918917,65.04621171801962,64.70095345754885,64.84139813838772,60.39787696760386,60.25079594712541,57.37146500241258,54.12174542449318,55.706862329968104,52.193957301120754,49.931739471250836,51.86737550037592,51.83495172434818,47.204675325779434,47.44869730094302,49.494636451086166,47.39987737317692,43.298262782443835,44.89492839234621,45.188504954346705,40.90934871863262,40.42050822543939,43.64952742318815,46.09702616364614,47.99097197902851,52.7660363258397,52.29882023652882,53.101835216666245,58.391083799053675,60.11789214694234,62.81273646277342,62.00160545919709,62.17914507959936,64.18105853496067,61.892282000280446,66.85844524854436,66.61192883328864,61.55102817999284,64.0447646440168,68.52526984152705,65.45093427832248,63.45183333966437,66.98841042583113,68.28629298171388,64.28806618128374,63.892382440845864,59.38041573239302,59.848105179080676,61.589512657844686,58.834819732331496,58.88995270124972,58.69961292095943,56.072719348211876,55.09852161435734,54.194143459018534,51.962803687425506,49.15337898782749,49.55895831882334,47.973827612994135,44.83349526473778,44.809020677663966,47.959042170245304,45.259700129523544,41.40601235515346,45.26651991448449,48.182035796855814,50.01065865518587,53.0511813658036,53.62236262141389,57.87049767559482,56.05424566334308,52.70453473671901,57.10144018118835,58.8717566060412,56.159977375614645,56.749877901256674,62.21995124525764,61.14965024986784,57.51575923325177,60.76897885880306,64.8418197129443,63.134587011391105,60.094682634743016,55.720288152207246,59.726684428702676,55.99401870279178,54.38764871003928,50.0817365417731,49.07073878576616,44.4367502574799,46.2974909239398,48.852746007470536,52.63294084282171,53.22148634218189,53.14242514420716,49.52503123235808,51.807475662757625,48.1523160330891,45.09065984783766,44.61055363381758,44.19897946597512,40.36201228957236,40.56940999085202,40.16373808490275,36.94029699804293,36.12113001984404,36.6832410392571,36.87438030693157,34.059478638284105,33.35323974178368,33.541659520364846,33.430386677289604],[30.29022125883275,33.33397317522515,37.046241158548966,36.32384227085108,40.079603656713985,34.05307556601548,35.3651953335817,34.50640571773904,31.64057637639982,34.59670934400997,33.20574850302352,32.93052259988951,37.95126260814872,36.31783013008017,37.72440398123784,40.199888144090856,42.56605251947203,45.7084626402333,49.577659716072006,52.201129260349894,55.49237669885714,59.63685708378722,60.82439296422071,61.81910240636173,59.182676055579705,54.94944130649757,53.353753422904305,49.034757420555174,47.23196776024918,44.95649746499095,43.79945364457377,43.34363343756276,43.39675748195962,47.65025177753627,48.41757916862169,49.19304173582242,48.85912283657312,52.60050521289424,54.3462400643396,60.010172498194486,59.56420692516749,57.76260112941099,61.577717654583196,63.4135002990544,65.9026069697265,67.34357940215564,70.64872679276654,68.33811885485221,66.67195473923748,70.80491160200154,70.16973071926363,69.55770596662184,69.40223558141945,64.26148324046528,65.55502333638721,69.51346045521004,66.66506448020289,63.1167952044738,67.15973224674623,69.6753158256027,64.5635540012296,63.55787980959071,59.91897089934547,62.026345137582354,62.0074718056041,58.127594938514534,54.53470168897971,50.514502079501554,48.428775170420565,44.13313263628815,44.3698636830694,44.63719939022941,45.28055562298634,50.15422652386989,48.70096082705204,53.40685402544513,54.78562858117318,55.31893615391887,56.4718289944621,59.576256182889075,57.66414885604786,59.447649824497034,55.87577981549505,59.17239880648318,58.14204685745403,54.60614908948153,55.71572885996303,53.59297399711121,53.382438062659546,52.42380392568076,49.90866976780801,50.175917269357996,46.251101406948074,43.433501982639115,40.46682123568388,37.81366778805589,35.69538205447258,38.119179994419156,36.44069731866028,35.2263437920499,41.14664901849342,41.48946120362685,45.91358198236216,45.70261409796185,51.20582286975861,48.311290734306965,50.7609024629451,52.26272650660328,48.66489575112878,46.34670601617113,42.92582340689894,43.953376369591986,39.8743840173628,42.601889798627106,41.09672478763161,43.61466416220423,45.24489524796473,47.87690585430999,49.23100755913841,45.43382175251583,43.494673479179596,40.773934077017024,42.127084585482045,40.530438435990696,38.24787162963677,42.703116262228356,40.594930419271954,44.8424903684849,47.15877425196206,50.75269249586969,52.40318959234302,55.377903456104555,57.62990699707042,56.34475541978057,54.84940041087301,51.11283911710729,50.939675211982724,49.31044146883698,48.13129375565326,49.708907316749304,51.95877220117102,55.62273840449631,52.81157344732314,50.78485739938751,52.704270930863274,49.01490499245257,47.16892242243358,44.325390495053526,43.6237537041503,39.23353678971235,39.10238479025694,34.48940679977705,35.942972583992166,30.34332771709654,31.736265353016353,36.10740038408875,37.46806388030155,40.28631768629503,42.20201916795613,45.27849335993922,48.4229309762488,49.77892539651105,51.783702127462995,54.89560592618145,57.781533002983046,57.32298067512475,59.76016455951486,62.40668365784774,60.32201505712965,56.70415720758616,56.20140414824136,53.40018718932646,55.00704822458831,54.21043590773721,52.94887533099235,51.38698137170673,48.59603796373394,52.199527676245175,55.00205630230833,55.655686250604475,57.51916404338859,53.33264459263861,58.841526610066595,62.151464788835845,60.224856068111755,62.27856222188076,60.78604330409465,66.01537157075262,66.33809677030628,67.07485196750606,67.8083417971856,65.39449525922515,64.87093751876434,62.42800114634243,61.92541530284062,61.83486960257088,57.32995669626184,57.07404834401611,53.993062725873806,50.895869091964286,52.244213415496915,48.864849573325046,46.616667434793804,48.24041747455314,48.16548943250187,43.602941552094144,43.66586510972835,45.5717478371217,43.56855769658992,39.39743352467254,40.80572750420914,41.03250708207743,36.85525777565497,36.23782201668133,39.29392069907995,41.80311702600042,43.632111283663384,48.433064610746364,48.094573642968605,48.85461111335014,54.18044891110532,55.80564269870161,58.612240728636436,57.995575524308514,58.30503752199314,60.4589696399718,58.361296317950085,63.305508913004964,62.84998618296015,57.86049580856364,60.53823496879584,64.88263887592565,61.703951479029136,59.868438491974004,63.531483397865905,64.59057447483538,60.55080334251145,60.47593647496619,55.83326150575202,56.61735582229125,58.302004487110494,55.44565853283472,55.7289486895769,55.523079638466776,53.1313153435646,51.94667991817099,50.857977363011486,48.8812327671886,46.04196418781602,46.112994714677015,44.562782834899636,41.47152349443279,41.19924708553849,44.24992508859559,41.599945507803255,37.62533178792123,41.293683598026995,44.2174268729952,46.010846767278736,49.196564353774555,49.93573504309906,54.11177128719171,52.069883653761494,48.7762019623125,53.29915808919084,54.86776259403683,52.09086755264544,52.86389300737984,58.264698466007694,56.998498509395795,53.45755064660505,56.8728923700412,60.79475861486501,58.959961606277425,55.98165946712759,51.624793017816664,55.512240726006326,51.77973561629902,50.05498631756012,45.88131054126624,44.97338812254075,40.41571943290681,42.245876167865184,44.91664637425577,48.67985514577688,49.43403087954554,49.362306830114306,46.02176265361486,48.48620315236291,45.02920503536668,41.711403201905696,41.49508760507164,40.9678496417997,37.44263031438859,37.370380402244976,36.64211680468439,33.6175149089798,33.045522628269985,33.106373151396916,33.08590450253183,30.297183413739294,29.652227493290916,29.955707508832774,29.871790739623172],[27.93546699047651,30.747613754231338,34.25778877159996,32.985133825153746,36.72905455002104,30.761627712903913,31.836986385662648,31.25521324041463,28.02962556977699,30.690250274687916,29.33010525900072,29.468750950977302,34.21202715581449,32.23789594481452,33.86070481438732,36.48747587268782,38.586301665501175,41.71201009174422,45.379998800783504,48.179098463431785,51.37739173635029,55.60704667406336,56.655243430579986,57.548577088422206,54.99352296149442,50.706796762876934,49.239672098176804,44.94103149539975,43.3303625262629,41.31076412714548,40.16589738260379,40.03136787836407,40.31225842568918,44.4824479407779,45.09657057886989,45.57933128474601,45.44034134266596,48.84991798649567,50.52919796730329,56.337801383827816,55.613146080654836,53.78626987125221,57.698828899004816,59.409512404442104,61.77093383559161,63.13735139727036,66.48279816183937,64.32234926914522,62.62481015705763,66.83304568917147,66.34079278850557,65.84797148814606,65.76840665811174,60.55435820596814,62.092187323464636,65.91791190395612,62.88833206138464,59.51013437040361,63.62817531468884,65.91250534180828,60.72789086439475,59.83184836873855,56.29450147759455,58.21122074539706,58.08222285606134,54.28430960614649,50.502148159172144,46.57793045771813,44.25987287929384,40.04389159388898,40.1124133321513,40.37870595511796,41.2468900368463,46.11877669651756,44.88753089249956,49.804513222189,51.142416542425075,51.949402655686335,53.05185118074701,56.09558265999425,54.34808621940679,56.0438327397921,52.702621454781635,55.91907722102337,54.664473348562154,51.14357439307738,52.11020043028856,50.27702358324956,49.792162006120364,49.16036026375712,46.43923871365373,46.78277147158829,42.85512966254597,40.180448987664576,37.009828225467984,34.423879903061646,32.05901840488643,34.92464302124693,33.30899639265659,32.67018781753262,38.26364984905467,38.88383071554371,42.99439508609612,42.92685284888851,48.36569904661517,45.369045529286964,48.097596202295215,49.47854531956051,45.87229385196854,43.59657719978834,39.96512661719359,40.65119815956293,36.39893297605875,38.84483313556273,37.12245388359781,39.473971018470245,41.05327956908904,43.54251508854875,44.85173401209275,41.188978488763276,39.12816191826046,36.46972772962009,37.764229285435235,36.327371761078986,34.24391737230708,38.85290972119572,37.18427450944359,41.4039369821638,43.92691605632166,47.6250547104016,49.23325592566981,52.41987045054908,54.42020337422034,53.255201697588866,51.44967539019556,47.58812874140127,47.36406348741554,45.48371142448086,44.090153733222486,45.66995757452292,47.6755857069643,51.32230317841528,48.5611293837044,46.64980538528136,48.67494417343028,45.100686641519424,43.22722613904612,40.59445828689046,40.123378236911634,35.79234834877796,36.07937051327247,31.546101191571005,33.560403402922034,28.24289227145773,29.281950203584945,33.49508280369496,34.42158406113299,37.38132960791421,38.959884395273626,42.0973464439082,44.879662793680026,46.133414071425435,47.90180317379732,51.147161796866115,53.96093051194706,53.341987892880915,55.966057588598616,58.505913550595594,56.548530583516786,52.84205505574433,52.475058371067426,49.59627372940691,51.34833071569777,50.684801624091996,49.5264208983411,48.221588365016586,45.32669047977765,49.241299014768586,51.75940136392143,52.55918658528464,54.12078297699187,50.11419889433305,55.62387085251672,58.8543794214219,56.762275247987205,58.6901094679126,57.04505757238893,62.27471598305997,62.444680534351534,63.31982199000083,64.08487082535346,61.814897405464556,61.35180426193262,58.99866934176149,58.64740689421117,58.67570689741975,54.12431141496009,54.13532819210417,51.17397177446363,48.171090386754116,49.86227557358774,46.607210174416295,44.07219018470849,45.78849990020537,46.10060365830023,41.43955580041645,41.14871557373537,43.47375256183719,41.89710945141476,37.332219937559316,38.798887585877694,39.45726829190192,35.24626706729549,34.268679840925074,37.654590870391154,39.866627905248706,42.28425803195964,46.502243842454334,46.23033488377659,47.3662842235332,52.70913227590143,54.70445919232777,57.32087650466598,56.75161225032825,56.79777598393495,58.957750310624036,56.66776899453668,61.5501062712505,61.10500305841434,55.843745006619066,58.45426167898986,62.76607555473264,59.46469377048305,57.465803777034566,61.03231595535504,62.0577756716986,57.96558439474611,57.63153707805112,53.21700397750636,54.043481398494045,55.98840624586149,53.431347495981434,53.83027696340704,54.0156420257592,51.39969713559599,49.95983333284815,49.31738673354941,47.462123912192574,44.26181441371192,44.4302715575213,43.324309737753374,40.221809850789256,39.684853196465276,43.141472365062576,40.78636449180354,36.58443161808866,40.21487829020851,43.41515031671025,44.87975434051786,48.06086333182712,48.49878452262047,52.73223908835494,50.803048122341814,47.09152277752805,51.531845573513934,53.19770876565781,50.318847530158294,50.72606020416818,56.30760672655674,55.06386162475199,51.212113679897584,54.47683011561314,58.60633202063499,56.753661861364506,53.578221573453845,49.09962971963072,53.042802041841725,49.19563204482736,47.83696665494145,43.369706214486875,42.55323656400819,37.87784824153127,39.45787228824875,42.04137939210142,45.77848977987082,46.441658494487164,46.63211367047806,43.050634026634306,45.56923863562542,41.86749827950304,38.979093548981325,38.96216210612295,38.82335814293587,35.15126008460766,34.75433212780989,34.50648525973476,31.661022569272347,30.391411209353027,30.506985496134103,31.127640478274493,28.74110497990266,28.297842859921104,28.721877091070787,28.9042067732337],[27.557460284992327,30.04406811210358,32.905543932271335,32.02420931028356,34.91434841150379,28.57440500328074,29.225819078950863,27.847302169588094,24.80061823334386,27.595347193540906,25.86600622701843,25.26952371184082,30.489286236364396,29.14269100876182,30.14032728225365,32.499818506822116,35.16935030199193,38.22956728493479,42.35610118997188,44.73259362555299,48.12360035576767,52.1502838935445,53.52146860771594,54.69136098194249,51.95515612524642,47.82065058267583,46.10925247779561,41.80547425223761,39.716875708709935,37.259776117280566,35.99849259062216,35.41791830180124,35.38947651206455,39.67154680390882,40.461576314324255,41.37410533622121,41.020408670408266,44.96112050870038,46.853367819651574,52.43985148931585,52.21498437628832,50.28359920154558,53.979196307640215,55.99495056160798,58.60098345225492,60.226661340159005,63.421834879465656,60.91977864375956,59.444036118680124,63.53272014970317,62.66276192261502,62.016586285824474,61.72412282459477,56.6583385778475,57.74329209167563,61.709706488772056,58.968157129673784,55.28804921985863,59.27563889368065,61.9295434949776,56.871685520941966,55.806584269846,52.122230868713324,54.41499605140414,54.42086333392568,50.45595893075708,47.100375416855655,42.967603401974465,41.21381480802748,36.830673190210014,37.36229251063983,37.85175738118115,38.08592463127904,42.91340507892139,41.130752810720836,45.776002332579445,47.019665897670805,47.4495632166628,48.553345193792346,51.67039395363338,49.72473067504772,51.61275634987346,48.05115141649378,51.488081176685164,50.56447591016119,46.89339071869856,47.942051331530955,45.67115295629525,45.53565915913267,44.46104921946345,42.05271521177047,42.43296254557367,38.47992789540145,35.54992471258087,32.59370175917407,29.997373011468646,27.94018545392828,30.137534033515166,28.509127946907157,27.3881871656599,33.253429900850094,33.92510236181052,38.207278359308454,38.381690089542225,43.98699779571056,41.43541148507885,44.12686794414063,45.91985638793724,42.62278841750542,39.94098275675014,36.71751788734998,37.3212933800582,33.19995015648145,35.93819984434204,34.18577071013518,36.96521663638384,38.339186573977656,41.290758356691086,42.42039908211971,38.35617376847224,36.72303857398537,34.00713517713405,35.835441382601225,34.203906834293235,31.97558821136345,36.50582638661419,34.615862750412596,38.63656024828081,41.03260676083856,44.27889086270724,46.46817263806358,49.34058814660348,51.39364274886292,49.74922857892871,48.46889296837697,44.60319623540439,45.04113793079338,43.189253472302205,42.06770349115883,43.249122296508496,45.72059033321278,49.11714069108849,46.0192889012578,43.96486337789361,45.61940866815518,41.72509660410099,40.08124245614551,37.0782234829967,36.454517128382555,32.126196992866596,32.13256624184793,27.33609979710573,28.836631803529485,23.33777354674613,24.171558379556338,28.5296287053112,29.858554537422034,32.91184456795411,34.62468924749103,38.06975693971751,41.3340099539954,42.3849162845671,44.78546031861075,47.62193638905738,50.85027993772892,50.7838590332363,53.23903170763397,56.127822291525895,54.25601550118289,50.61302492226309,49.90054130922433,46.894345046396815,48.10623225265619,47.07050223020953,45.571701865158516,43.9281614288891,40.95537642734642,44.51426758638739,47.404209238452914,48.185064974906666,50.250940225985026,46.273514159028,51.90249243515406,55.269381284414735,53.35885132243847,55.09692007764825,53.5054348206631,58.746847594634765,59.29979359034386,60.12813744336796,61.04745683968528,58.63542168461953,58.40049870819357,56.1279790782613,55.79715306907811,56.04473052827155,51.67847592496931,51.54280450277523,48.84738715416987,45.452484151633506,47.28490392642837,43.692372786883155,41.36623581155537,43.64584376759786,43.74369271767382,39.027788292773266,39.4986373192267,41.781122594160735,39.71992755881724,35.61251014731976,37.57248141080984,38.13985802298969,33.69325711377876,33.39822580601666,37.12954155834302,39.31235693647851,41.52184901754845,46.03053195951601,45.190878960140395,46.22253191755745,51.40046624509903,53.59232841121148,55.889788490271854,54.780875404107526,54.583112887269714,56.399172791465666,53.801985852310615,58.74271234379892,58.720331463112394,53.4666777112682,55.728544064619115,60.32856885017315,57.36173625524954,55.134666768242546,58.51619796501849,60.09392575343053,56.17358015501211,55.398329229278986,51.02298126609015,51.17715362393915,53.014168063368146,50.45616502963787,50.413953094154245,50.48928633981382,47.59705229628842,46.57748916285559,46.07208078125775,43.78358963972552,40.73848186549615,41.43770569838085,40.15982352790729,36.98506732596264,36.979102797659195,40.535050200470174,38.079946825197666,34.17727766961404,38.23017144803858,41.368319163876166,42.930945075587665,45.74796797107943,45.882437134876184,50.2369327048331,48.80909193420949,45.123323396846004,49.27960637914045,51.386770462369796,48.75831628976173,48.91859065650042,54.52501767148347,53.84521707341603,50.00468760271206,52.92265487306372,57.26574689145912,55.8769122980709,52.74919075503235,48.4235476662596,52.77148995538572,49.22370849979634,47.76779117767811,43.21896718698481,41.78065113631069,37.05117954195669,39.2289747571863,41.45075359630888,45.28428059978061,45.487179256304486,45.20628787020601,41.25040956585447,43.264440698212255,39.505160661633035,36.61875861546463,35.90665919810335,35.69350355607861,31.622850927443377,31.952403916969498,31.96091064697562,28.63316657879168,27.433046986557855,28.526838295866686,29.103854002903557,26.499000982652007,25.885666420740826,26.126718987699366,26.281680092499098],[26.680324179709377,28.79629766900876,31.264051292954452,29.788690823657433,32.45450357346439,26.174523777314842,26.36980429695193,25.163675356127126,21.628154543715443,23.964051667525627,22.09444210499891,21.900877171513915,26.877514802393264,25.16772534926929,26.222075111722535,28.767478385174634,31.260112760773843,34.225805703587106,38.18822619680496,40.73102419791189,44.018598434867556,48.13395419030461,49.38257577757302,50.513434840522905,47.872586803559386,43.6877679238068,42.128897180104474,37.84957865421604,35.874268109608174,33.66060358724733,32.25169051959511,32.07548545375787,32.19813873766805,36.358226025108124,37.06591827655533,37.716599326135004,37.63273835071465,41.27763496046858,43.171277609097125,48.912753337802584,48.43437859483258,46.387412095395334,50.159717892310134,52.1124879328716,54.595407797030894,56.21023845276121,59.4196228908885,57.035693023080434,55.6085163620613,59.78394921851156,58.99454521426516,58.46928050412743,58.19947226748593,53.07723403607107,54.341621207533194,58.15090860849252,55.237485695399684,51.6787901354213,55.70984117798075,58.164325194127315,53.01676978638968,51.990764032055644,48.37635104027611,50.48200208006341,50.437885171240815,46.55705765584556,43.00321397404628,38.94699915165178,36.99546763793674,32.64980201053188,33.06115735564233,33.52063703515458,33.906356571334776,38.75258070060047,37.16285038208785,41.97609898940537,43.239210188035344,43.905621808214235,45.01513696476718,48.119013018226504,46.38435072358396,48.2618516657929,44.96629392601308,48.387536581897244,47.26302764654926,43.54000219744735,44.37028061080977,42.349612125125454,41.88567880570488,41.06340306662797,38.42399831820726,38.82104775165932,34.866788956211956,32.09510184330737,28.975851916251433,26.387487926489143,24.133217247934226,26.849257296644243,25.386160432568886,24.987309207800187,30.449317529507983,31.586588318027317,35.4644681041227,35.94604514872874,41.50182536788175,38.95699513688283,41.986522205545846,43.72323438994535,40.503274905573015,37.793550892937546,34.42135836254189,34.541809871359746,30.225828982854374,32.63079851508792,30.51933138952186,33.17650417299737,34.37928049855339,37.25568641221668,38.1985674441814,34.20706266827574,32.524361527581746,29.915469763063385,31.854270654715336,30.43768128894428,28.489998038652722,33.2229064139936,31.905677415003154,35.8170777155823,38.44655638292435,41.70442586677292,43.965572075074164,47.020968642178794,48.76562592003646,47.16557866892421,45.61551783917715,41.59317745523331,42.125118745106235,39.94015200054594,38.58046086423581,39.65551623894204,41.877272104728625,45.172277215854386,42.039426270575404,40.13275698350227,41.83214246498959,37.99791045699618,36.39919858874858,33.5978438726965,33.28202004485777,29.048860978287436,29.579053985649757,24.836022067819517,26.94682971385569,21.851265110037446,22.06368560099888,26.210382861764945,27.03840538827925,30.340422791810862,31.58887867574279,35.24281673760096,38.136779292515676,38.954731008113434,41.217782346701355,44.12150780415726,47.3804780544894,47.238954259099515,49.917132948676525,52.74403005086728,51.06646599309496,47.32008356672842,46.71377191805001,43.56842521086014,44.833757303738984,43.87242553686406,42.40788151130056,41.01827735998296,37.858034166081836,41.727811248913305,44.3520389449903,45.336916526988965,47.15036639019599,43.436198742286564,49.090622344621494,52.38523284367828,50.304996340127914,51.812930184756986,50.01342294178047,55.268931147785075,55.715322145362116,56.73217704228993,57.73728368324384,55.47938798736519,55.38117042336218,53.24552635756201,53.10999403659846,53.54764116005822,49.17724088958001,49.33702748531566,46.84599032620552,43.50914897859218,45.755040372924476,42.27071941639957,39.66866139715634,42.13775815041932,42.63558883073303,37.8476258048825,38.036086571795416,40.7574771246229,39.111694662365885,34.69739566873045,36.76434596180252,37.769802068186166,33.32889570790158,32.74360378613605,36.8008170822531,38.63948384662965,41.40115870082597,45.2935625207844,44.467516220940375,45.86612126432165,50.99526097958185,53.55809427664725,55.61942529169244,54.50222022918155,54.00543643190354,55.76878053967738,52.93970923449038,57.79506191361207,57.846077236971496,52.33375551074383,54.45518025083235,59.04228643713565,56.00559712004993,53.57530565970947,56.80210426437995,58.42219248882304,54.489339139604766,53.352437659702694,49.26740693837454,49.35123438378109,51.456833178204484,49.249573998634496,49.255955473803475,49.738493590756974,46.56946829929405,45.354824060563274,45.37208186820842,43.15819301572899,39.77060299294463,40.668383413458905,39.856705068232635,36.70020060513188,36.495599311240476,40.447783973798366,38.31431594192566,34.28345190570425,38.287768756334614,41.65337081442649,42.878430809676054,45.6136710634923,45.39242850100541,49.78611283802382,48.55282113720782,44.471401846354695,48.46318728382438,50.71647027804859,48.03468313859693,47.77019574262277,53.53319916539077,52.95314754935037,48.81255432070089,51.49933763112623,56.0685876096562,54.7245508116245,51.41236099884216,47.00549976253683,51.42768705821887,47.8176444908129,46.755281879327704,41.93146718554963,40.53108926015967,35.72088567523081,37.67122313750771,39.71791375031629,43.49905852442722,43.531321922113634,43.48265725340205,39.2127482499216,41.184124550323965,37.13623143698231,34.80363085595191,34.20051609399548,34.44117089471055,30.15750625086729,30.237839329823682,30.88069477479652,27.734773936311782,25.703686789953416,27.065703103223992,28.376164148951435,26.243605487545,25.82888321210506,26.15722464546266,26.5890248152187],[25.612104551676325,27.468695862856006,29.429841992681588,28.56593046000668,30.51826255525475,24.04306377357,24.090187574054347,22.14846634299624,19.13645037648144,21.89896514556045,19.96343672191054,18.88602609244376,24.322042720794837,23.48431479736475,24.166626744416536,26.275565229336674,29.21767450864337,32.32817799993751,36.766034181966646,38.79704574452503,42.36325566977715,46.216357024706724,47.818537845250255,49.09648264723542,46.18436998526093,42.1846224997333,40.24736322579323,35.95610575478981,33.61184766955179,30.906414820054334,29.852458995279886,28.905906752601442,28.95717879988174,33.37268067418404,34.016833215365565,35.05505008707375,34.50367085800245,38.66038526469624,40.61773353464879,46.06614784316258,46.11200341715264,44.204216090980765,47.77979890912988,49.917726298047455,52.69179607282363,54.43587459959081,57.54709340773166,54.8370390802836,53.44232176343149,57.435296432909745,56.38836396461552,55.64922175243454,55.28523945548539,50.28748664933878,51.2189039440016,55.26719465786563,52.664880637451105,48.89758601827932,52.878106399800075,55.67113209737638,50.72386302779031,49.7294263307909,46.03960168441222,48.60043728252026,48.50920763039225,44.40463395364908,41.41060556207118,37.149071731231174,35.81289505948396,31.39685193814149,32.273471632301884,33.1641703984266,32.93836019808826,37.65226242593968,35.44278151532345,40.09882297918927,41.00912752033215,41.378116454653416,42.27997670896998,45.30610243241332,43.19862278337011,45.06520514588924,41.42481050442847,44.90860063137867,44.0965318168406,40.38458698954989,41.52447939632244,39.12704120958492,39.22596132404227,38.15307236560357,35.95655024795352,36.64884685713945,32.653300108990244,29.530407191311266,26.45289227317265,24.109097400468222,21.97528922694566,23.697179270701763,21.918820954714707,20.744373388850924,26.589918844625434,27.361580151704626,31.578855437555756,31.953264766588333,37.609905917506424,35.33016869651022,38.166592479211026,40.18672657904333,37.171221499929466,34.20319818302167,31.21774276994086,31.51841533328364,27.46297452937229,30.287218684153714,28.486864843309228,31.548458898591793,32.78073451663124,36.0498967414752,37.158313608963546,32.84064081855501,31.529232232487896,28.747232988125738,30.925591316139297,29.145942788055972,26.871929476400062,31.297137522473278,29.470405013079898,33.228373413505814,35.608348124539035,38.50339985537257,41.13697244963513,43.8569006102577,45.78027029819754,43.834821011368,42.80362877849447,38.89782959975178,39.8709411916541,37.944566076003746,36.9959870667606,37.83033462435966,40.62690622594221,43.809951195227214,40.5044183111506,38.340520961197136,39.73397710289079,35.66977361984129,34.17086141885976,30.96119216858914,30.290282719536926,26.02532670457149,26.03539715448446,21.123768451118192,22.621282319095062,17.304405528968793,17.652008043038414,21.971636123565233,23.310199553005354,26.479351744431135,28.122856641929452,31.774109081697777,35.21001052300444,36.10308368612415,38.85953048621695,41.434405458985374,44.901203344695645,45.20524694171668,47.56694079299166,50.67794739539751,48.934953177701736,45.33472643236713,44.3972267955783,41.28163505463199,42.121830778860016,40.875282031304735,39.19794541328469,37.44662498088672,34.41363394087395,37.89261955251332,40.86205448766741,41.67530643700367,43.92009259159684,40.0538989324276,45.74633243482016,49.1584323690944,47.31133762122244,48.86928816833788,47.28981724219612,52.51940931020929,53.28454594674832,54.10410246518842,55.135326270883354,52.68195556752069,52.64589512103673,50.49047772286047,50.26082267857056,50.75871522157315,46.553689679512836,46.46717960594374,44.1123318433201,40.4805333408178,42.673048599286005,38.929529973068234,36.59590350368203,39.41794342735132,39.62991633507157,34.87145718584169,35.752724673336544,38.27544861834037,36.17498915259119,32.262021951972564,34.67158872503804,35.49278248545149,30.947978794755855,31.000617828491553,35.18334603512452,37.03707322762747,39.46729078929296,43.67153376375785,42.38896191165451,43.60792739042182,48.5632361709681,51.19038236862495,53.02925629496723,51.515408554521876,50.89401635129003,52.40783775988091,49.42278920628912,54.31569087394072,54.65217948439501,49.24035023081784,51.13385747913607,55.911582159212614,53.15956705760775,50.63505557478273,53.75523215207541,55.77058306913019,52.000541699841115,50.66397777684899,46.526206073023886,46.130341762689675,48.05713001680437,45.75690762596296,45.44207067350513,45.75703333779528,42.47857623562026,41.60144971766771,41.60072680618449,39.08988886334361,35.89611282405874,37.12671815725812,36.12303929204363,32.94729829220531,33.166921249192434,37.088038347982256,34.88013197360416,31.146415718725613,35.41271528253146,38.658837113054076,39.97980746481061,42.42215834198053,42.03269625722622,46.474474811020364,45.5904917304224,41.6419091195909,45.41425719404797,47.952469567287025,45.50045848282746,45.15196945513452,50.845234543866376,50.68429783915909,46.67312481606838,49.12877105585424,53.7612922597849,52.78452170490525,49.59896019427941,45.39321100643329,50.081133045485714,46.78940398071577,45.525787037924964,40.78958770909095,38.87279558798786,34.127760131561296,36.630586889079744,38.39304505841077,42.218558698315185,41.928489475732555,41.397114430020764,36.99285447732413,38.55047051219392,34.625202198287845,32.10235390029618,30.92427336757094,30.97370271594602,26.504664512974728,27.234577413545264,27.894165655059677,24.39690214957377,22.67651514595728,24.7522795102298,25.81694936162306,23.4979908893556,22.946258625089314,23.129093262265457,23.528965530550035],[26.744509239657866,28.097670339045383,29.434003777237557,27.98552266383532,29.39320731889581,23.06564142749927,22.327373822220423,20.339616331605264,16.754010941243948,18.73575798043543,16.32863030608765,15.46980489065621,20.764759423248265,19.659451606294986,19.980097529502835,22.269203582955793,25.269616922868543,28.121248350402954,32.49074133279528,34.60917949809093,38.0626179658032,41.974638801948,43.507608781783375,44.86917529468703,42.07036267266656,38.05935791391904,36.29702157519776,32.062638772807965,29.652719997320876,27.116338745050186,25.615273236376613,25.1448431151217,25.148351121746995,29.394504074590934,30.116097670174703,31.012484583287883,30.829337319444804,34.815329015183146,36.90442769533398,42.48293590339679,42.3674437630576,40.193612877012974,43.77856733932285,45.97737884414997,48.64681250993327,50.49462380532206,53.552595878571445,50.893062578495474,49.69702835428741,53.77424350000375,52.67454938567779,52.059990405844005,51.61671409996346,46.61132958856295,47.565796017078895,51.42912663944256,48.69989509037386,44.94722198237894,48.901823122483215,51.58101697691807,46.536270744213574,45.443876767474634,41.759722791977104,44.173282210779355,44.15196102077803,40.12948979485196,36.97933448669882,32.75257045014027,31.35750730563577,26.91567161753362,27.81238540899032,28.644256842051192,28.362116246678283,33.088648109269805,30.959350661466424,35.65697964838717,36.68060933221502,37.167422830803304,38.17604558148544,41.28212024126089,39.44051522596818,41.4478431511719,38.10982426750134,41.711400002517024,40.773811726939535,36.88939359494543,37.69300746956803,35.421876815293594,35.1477820446603,34.13411570840175,31.708265750609815,32.312895101175265,28.317977242270462,25.333368193800165,22.216179802323857,19.766679233464,17.609090507869393,19.8326248117762,18.41702436362211,18.153038707992874,23.494075936397888,25.07938271383465,28.748935656214897,29.742007960400265,35.37320374486634,33.33606202269315,36.57806467334533,38.67229286477021,35.90381368723634,32.78547540248325,29.813555546931177,29.413992804944478,25.19779621970173,27.61010820568884,25.249043914609057,28.27267617486726,29.11178649332504,32.428385975949865,33.10179674997307,28.747186759951983,27.570145740381705,24.994536531964336,27.574340595777358,26.097322455799056,24.246596250740048,28.86514381141256,27.795822724821363,31.267274178320648,33.88418095641305,36.59446309835162,39.502294465009946,42.32361192324317,43.85503739596581,41.806892330874646,40.6198665525379,36.53152315346739,37.85191537335399,35.49714852445707,34.30878285854239,34.838384691663485,37.39457933338044,40.30887077430196,36.83248897584375,34.86707004157162,36.163208888242345,32.057055873641914,30.758625906089872,27.71228921850435,27.459409993348917,23.39420376815839,24.05420971091686,19.183940133597684,21.248552002079872,16.611997205753692,15.795156875900565,19.785343752385398,20.571297707455344,24.16854986245087,25.14008591180799,29.270029054305986,32.363540663402546,32.785028211109,35.61920316371491,38.1002989881304,41.7851817266476,42.1884408369287,44.80053161656741,47.92639063442915,46.48811602883414,42.789637153253906,41.89245461178764,38.555442790145854,39.25726161456604,37.96301666624023,36.17814093625928,34.637296863474084,31.276768164145945,35.01075420039247,37.78924743723654,38.89755070597896,41.020901357499184,37.56371658930033,43.31194482080939,46.66681749841983,44.66589880745786,45.80972415414371,43.944242145562825,49.19292899642216,49.95968243809582,51.03613182473913,52.24371555784231,49.95926676444256,50.19032446524552,48.25581584287979,48.28805944519143,49.091432549772264,44.9694966260348,45.20485166162412,43.19581511521085,39.562468325732624,42.254051748887086,38.58844406450474,36.031811263133555,39.1853416340401,39.785827177765206,35.0176304847464,35.75346877213476,38.70318113853094,36.97113768802063,32.922381968974136,35.490548445724905,36.72406333780902,32.24490261642269,32.124849887543874,36.590966626388166,38.063389308586075,40.96475895498068,44.54338895907772,43.197134585644676,44.75065732112836,49.56599021698586,52.56690029181596,54.09730422150022,52.479033073970584,51.506633744334295,52.86720117257854,49.58653779696767,54.35847954052791,54.87995115827192,49.24313844940573,50.87285182125432,55.67323814147018,52.95010758017371,50.16431181475847,53.03575400106667,55.22178775215056,51.509471007656636,49.65830244394728,45.90740041445474,45.24485867607672,47.432677781455986,45.553925830791556,45.16177358425208,45.88549566476501,42.249069007019514,41.304898812934034,41.924128986120664,39.39464259905726,35.92722847003655,37.52075368760192,36.980758178054494,33.870524086484984,34.02480529390149,38.29520684114378,36.422467994269944,32.72450405596099,36.93574097941843,40.32558072381575,41.3202793397833,43.5637779222145,42.74588499186967,47.19872036566093,46.638853040512465,42.34698378153362,45.830219236478875,48.59178620096166,46.16659392254413,45.31985701578459,51.124002941233,51.185647945962934,46.90280799514174,49.008816172250505,53.887933753577634,53.05672235279102,49.71293028747958,45.4927494650792,50.27466682465794,46.99770327493928,46.151363564544845,41.178173529674005,39.22936652589027,34.47587994285913,36.78568107471659,38.261513957830594,41.987063792726566,41.419056811297665,41.06129847850364,36.26888331705553,37.61440568778132,33.37469955943664,31.585410260143988,30.344478532170324,30.909451408764994,26.16578757900449,26.81763731078049,28.283084893856593,24.96823560609278,22.343045110112424,24.96414683723239,26.788836880964055,25.00185308095664,24.632485206780594,24.850553536865927,25.46581966408199],[26.37406086539293,27.652583351849223,28.7680312440608,27.900812038318755,28.913120785782205,22.502459326110095,21.830483118165027,19.286348467972743,16.329488973069303,18.773834493952414,16.466937927705466,14.777183347887734,20.428581764363248,20.12320572895699,20.19656573970299,22.04468675068865,25.37210573841986,28.353268365255985,33.05560755320917,34.75288890475623,38.41320816477341,42.09537063416261,43.89419123650135,45.340072225939956,42.33983941736015,38.4915337052855,36.42469685261507,32.20147832436913,29.536658010054936,26.58672521605114,25.462425805391717,24.256705348465616,24.186404205805058,28.658553343876225,29.32701639713169,30.57343280091999,29.941221316495113,34.361274788989064,36.46668843434997,41.77009006352915,42.08880834235563,40.0813991393824,43.49942298381809,45.818616346073284,48.71389272771892,50.628347638759166,53.61485616106641,50.71565453103098,49.50871991982379,53.426056019902596,52.14517517668004,51.347419737007485,50.847346311964394,45.9497007878262,46.63722376441056,50.7122968706809,48.250591710733055,44.34186541822668,48.24945450439064,51.204588000052944,46.3439859737804,45.28985295092656,41.55623745442139,44.33184238201182,44.27157829410737,40.08407443356771,37.40420682343375,33.04732106830351,32.14463012774659,27.70819441572016,28.93540967843876,30.073324046102595,29.356884770697263,33.92775442897583,31.335201654003537,35.85262462859213,36.59121299964497,36.808160421620904,37.64096306008778,40.66832643418551,38.4889297172443,40.46444504744437,36.79701169488121,40.427532083874155,39.766022621156246,35.93041041242668,37.04016183230453,34.44319891337755,34.69219847508173,33.45224795211045,31.44011791803631,32.274575365719514,28.28003165094064,25.006761694936937,21.98535919698492,19.786150550218235,17.806732178268906,19.0007289582711,17.24807581385163,16.065282625051218,21.87271210810289,22.996291046630095,27.067265716069645,27.860496004919224,33.57688869505525,31.71409699940375,34.71041590581244,37.01133565455581,34.359563078578276,31.08066697734026,28.430333766720416,28.318874510499636,24.381304287196432,27.186603564777663,25.21514073618722,28.518848320694453,29.4559074453324,33.01580659027469,33.89678919470639,29.3595646032517,28.44592584079531,25.736576591185866,28.359384145020826,26.571403418258154,24.41212624124566,28.693463401810572,27.086879197342185,30.468782976798867,32.82675224844633,35.283147473374726,38.4023569216919,40.938225391638895,42.684051991822464,40.40265136992496,39.64781751554336,35.70788646801567,37.27487867192588,35.217771747636505,34.392600134906424,34.812158769664045,37.81801716058383,40.691719693797324,37.15437207024411,34.97110042191373,36.05020586397964,31.803626087521952,30.55168564163184,27.17295133444019,26.549958806124927,22.45246231325599,22.540247823590327,17.546990929576275,18.929508165902014,13.993411365925873,13.441072616265496,17.66661416342827,19.034306592547004,22.428344863529095,23.86675164384055,27.89191855040339,31.48113645681097,32.05467381903405,35.24302548712151,37.479518532595435,41.26282449181611,41.970760229030695,44.28722293958066,47.60402603197702,46.05666634133846,42.50111813241221,41.35894055705792,38.1065135572747,38.515414028186214,37.01443538573962,35.08830444470194,33.215249872750384,30.028586919499965,33.37741054242221,36.477956601694736,37.38942936093247,39.87949133668377,36.22622843408991,41.97930876184793,45.43042760603402,43.64247122995605,44.90955909322438,43.27565040695985,48.49072408214188,49.491809770293706,50.363013624145694,51.54792132331392,49.08689412755392,49.30331801204916,47.31003245328276,47.21408817279294,47.98928964105124,43.98493607247265,43.96759400830701,41.9882406916321,38.15491135170458,40.68465135894005,36.827185052952885,34.533652545974135,37.85402806187916,38.1571571028662,33.444886342651465,34.7065145138016,37.39504748522776,35.26998737120988,31.646609174158765,34.391325777587475,35.39162016085134,30.873303342136097,31.22873654295615,35.66285117303524,37.222291658240316,39.76588133362824,43.67734935841226,42.04871726174702,43.391085890548666,48.0944791203553,51.03510772481859,52.48204149399294,50.61867597954598,49.6440671350121,50.85694606348843,47.54110066133682,52.35481039143109,53.03796346057205,47.54119427752943,49.06159472916908,53.98293901572059,51.46137981725031,48.67813428561064,51.5237924229172,53.94227308406436,50.34321679588658,48.47832368351312,44.614549001174375,43.665083506990754,45.65502110976023,43.620558422167555,43.00700050087875,43.51314028085768,39.87926240923146,39.211809633892514,39.682088491929605,36.93883483892649,33.690287535479,35.45659445569838,34.677202513853345,31.558977657080387,32.04629664439095,36.18789089071891,34.20106782379179,30.747882085175704,35.11760567155811,38.36391831469835,39.49335242426145,41.55934512293401,40.720363674478676,45.184946920286954,44.80220229408239,40.70614145993601,44.080882761186494,46.979617200869136,44.720968572661164,43.93581441998019,49.6390016671499,49.93824129027915,45.82933296428302,47.848628110658645,52.69413669710865,52.08037309804651,48.87434157615657,44.81450096100825,49.7247347912226,46.669477133616674,45.59420864586752,40.769821561773014,38.50091705761969,33.836866288605904,36.53868237987982,37.88273988581695,41.63436665962494,40.92050301371444,40.1919711964564,35.42773841179673,36.513042344282994,32.46433598513351,30.38777435360677,28.73248229649453,29.04073822958806,24.24062541922146,25.408767645935768,26.709448557241643,23.130424161416574,20.96144001190045,23.974167962549465,25.430450256779515,23.428335372485726,22.934087139295805,23.0437811693577,23.563986758665173],[29.976361815985644,31.1910903391018,32.0746466826037,31.423874508159926,32.00406806698193,25.67889401246685,24.716323341674883,21.720435030688805,19.034936569276272,21.11254380449693,18.418319054725607,16.158097620157275,21.873965215718133,21.97444471785099,21.115089926802494,22.725123676650345,26.578537924172956,29.10924452793285,33.96653735523509,35.37902580011396,38.979786952097506,42.49243300494499,44.4450439250615,46.18557763339891,43.23677758410302,39.557780048542575,37.52539397773162,33.45279280063331,30.38599766637634,27.190918393140684,25.422050555067145,24.128369982678617,23.33604935826776,27.663573326964453,28.849522002089884,30.594586880841753,30.04111506441727,34.88612365967562,37.27094004533264,42.33885781720696,43.016407388506366,40.73331082800083,43.89187827650037,46.52139573497251,49.48307890027385,51.661522774126695,54.45348016532053,51.358581530757405,50.50577134958583,54.33422127536966,52.70677879407631,51.85227750613801,51.083793547757544,46.39630936349978,46.57374404520316,50.622143355654046,48.400480621746304,44.19132496773083,47.84346963502341,51.1061127447477,46.327739733233244,44.90068284737766,41.000234160605736,43.94535426131613,44.232954509029945,40.06436421223692,37.62509053902727,33.22470431333859,32.75505427953555,28.268332543602327,29.8029614178248,30.757534932537204,29.5573349313481,34.017810262975495,31.13668917547526,35.09625807939709,36.099544636767526,35.825085990923036,36.93312449139121,40.17824495944665,38.037158149478444,40.394883846842866,36.684884282110175,40.62358160143101,40.300021292871676,36.25697497473171,37.18952163435368,34.13580514273183,34.49280567345344,32.55552134619173,30.75718425496908,31.23469990068646,27.344026196145094,23.990007365607788,21.622586594399657,19.155195626984316,18.032767343909264,18.597417152346686,17.317362681092806,15.706238038883962,21.614295826665302,23.16942574047941,27.199980995900766,28.5225117550095,34.290675239620505,33.02424734332643,35.94330431644484,38.597246382325025,36.29896837228132,32.74862798206786,30.562340594062704,30.299917881626126,26.60766810244374,29.40782456277972,27.277595818069024,30.713325264454674,31.258288615207928,35.01185782790276,35.408155259722136,30.72760011792786,30.222177590619513,27.759126251618454,30.80955733955272,29.152550371506443,27.171028498360325,31.296311187715304,29.761366230237517,32.83696667255068,35.06020376287796,37.06261478923494,40.59337776287173,42.84302295552761,44.55649532640788,41.9082269997404,41.57464758690403,37.68300106705903,39.736876562450476,37.65011415668402,36.92755201625771,37.0022927421318,40.083813479123606,42.62490561040189,38.85728494764913,36.75924843571428,37.49461497348887,33.070776105019995,32.165969425801,28.668599054675717,28.097159544235332,24.256582378442683,24.198964027703138,19.220085912027915,19.855592356461216,15.05336401823224,13.948633275390174,18.092011647362426,19.87736971422393,23.374914129974087,24.699482499745923,29.11312518805412,32.970055291599195,33.132009191783844,36.83710792430864,38.631143356344225,42.78122724206314,43.912182552633,46.1636974896451,49.66031892894025,48.27637254797672,44.79243913843425,43.46861352578782,40.13279920618729,40.08295199920995,38.27406462156379,36.012433198725944,33.88094346339491,30.538024042795094,33.438359807603355,36.89359629009186,37.8822524108215,40.839174450127224,37.414553402472826,43.18178191056045,46.68870671147985,45.04893262222193,45.99070770278944,44.30134263197233,49.45382709694937,50.76363589511243,51.701934399916354,53.05329089158607,50.56987086480791,51.02746797107532,49.1694290531735,49.13316226254942,50.08847048897647,46.2867359490914,46.18892467879388,44.43030334341725,40.41225042326958,42.95790533323089,38.934541607407645,36.88308640186139,40.470818958143,40.57440304147714,35.96163082417631,37.67410851237766,40.20560618299144,37.76210105340566,34.56676437355572,37.457755186287905,38.28143691437896,33.760997544988555,34.48530597623628,38.872561223447356,40.48033498770017,42.748068732964015,46.87774514710394,45.0292680743767,46.2081779988643,50.77052074801126,53.65962161725273,55.00228133367275,52.85653557138971,51.825156190382835,52.807223414129176,49.37573780613325,54.17633647406159,55.12971514728523,49.7655286614379,51.04619271986459,56.09942718724575,53.83530839027484,50.972372783098635,53.66251889014123,56.39713168739767,52.954303957438135,50.863328432593484,47.081636633431216,45.69165408072354,47.54487940648666,45.50322216895283,44.539282709817165,44.86244025373558,41.104976127023164,40.86298031274079,41.33663981059086,38.26297874229696,35.315953705534376,37.42616104923907,36.41014109627705,33.32217741349541,34.25076065946666,38.22563662471469,36.109298661805404,33.00434402225074,37.527855973812784,40.58079437434358,41.8615235660114,43.68968120125337,42.768531510991615,47.220916498150395,47.10858170149774,43.21059920641416,46.38397258210819,49.46772913649405,47.396908391793794,46.57325567257843,52.171830167376605,52.748388206910704,48.758487807550345,50.600807064122144,55.46082777443878,55.073616810541516,51.95729199154975,48.030807373009395,53.02836446855925,50.1266896099512,48.97399418101776,44.229671847941596,41.760057551705415,37.18142557577367,40.072268854244726,41.279354683548185,45.00627324864901,44.12633428079601,43.176214267616075,38.33870471395415,39.09564745283554,35.1159498456618,33.105152612134205,31.013116399234264,31.200906235390246,26.307821311028462,28.022638321460224,29.35665775258961,25.58370124075804,23.712143018767335,27.14274240289361,28.372411687804416,26.20839109061666,25.576467744913,25.50188302908459,25.836654889263343],[30.575037201368,32.02625926217144,33.35320112871463,32.09822666545091,33.31400632505487,26.97600133624152,26.092486742012337,23.744079953253426,20.33235778408641,22.044368123413378,19.25681312839719,17.954889791656335,23.363914039506433,22.47843889853276,21.94856218293232,24.13668052592316,27.603552237515064,29.987453336637742,34.429145942689075,36.40192895340682,39.7356549625136,43.55901887971073,45.1651609552937,46.80854732394669,44.124697739919036,40.221474789430744,38.579691206254765,34.47197476544585,31.720353291580356,29.021570346248133,26.748318002638104,26.382048666245158,25.65162509742572,29.698396337548257,31.002673889415398,32.332179206759996,32.33669521281164,36.67132400511946,39.039599075414905,44.46881221333628,44.606486373777265,42.10894500886137,45.48667098564639,47.971927226929694,50.64933028310969,52.745674456878476,55.635452629968434,52.843590575359364,51.99907747953681,56.036196863338716,54.63896686622853,54.00623999503721,53.30889863466426,48.47702047042166,48.97931533256269,52.77409177989216,50.216606917681254,46.184168569626564,49.8889762657236,52.81985541762883,47.7959288934017,46.28126892650575,42.42089124499491,44.891287051400695,45.273384185497484,41.319609805108755,38.24784510840691,34.00730185023395,32.8846279096165,28.365061159901046,29.462320091375574,29.944183436990514,29.31941957407041,34.016049469745624,31.753425620552555,35.901180569331665,37.35399026638331,37.38445828911549,38.77027911041784,42.14975258210572,40.43568938837033,42.85196126920811,39.5207838928828,43.43099029173069,42.77389347854535,38.665843295163874,39.231714877061535,36.559865835304635,36.25951236252318,34.55257369983814,32.21220669524972,32.31015155262595,28.416330875876863,25.439111918557852,22.994933061401447,20.12109687875137,18.824345498742748,20.71873223239469,19.815071716025187,19.228742240434133,24.70904479599344,26.71823650366425,30.381183125684295,31.849196228730325,37.56568300405205,36.00812046312301,39.18630621465392,41.575744045651994,39.05009200110244,35.706913404882364,33.07294778290578,32.59351749455622,28.52987903396052,30.94678954203514,28.395011349250645,31.5046700638196,31.97747072410173,35.42407631365019,35.57323786092059,31.120436763707897,30.257667344613733,27.94409873540481,30.908385745508422,29.60214152085512,27.92393073085833,32.48335199622087,31.45841222665706,34.746462007454774,37.27347794900003,39.66186074048712,42.88684338135453,45.49888665375269,47.02777738214136,44.686100539290365,43.823375587000655,39.75146903788825,41.429549738616636,39.028374744856244,37.87266663735524,38.14473988261903,40.68509344811593,43.32255097315978,39.641394706382094,37.79878122013375,38.83242331223897,34.571636019963115,33.57526721227703,30.454344250897265,30.27783052657789,26.38292024760652,26.91796106539347,21.968575878687332,23.405992597860433,18.648822225828074,17.515805839506363,21.56314307254536,22.732025721463565,26.461809548993337,27.343264761111136,31.84854282624053,35.167528112778484,35.21154730950784,38.47112331692838,40.60392866114921,44.61466957249684,45.33875059180657,47.94515201426208,51.202240374038624,49.90465362121947,46.23905367406467,45.22011956020173,41.79658542725434,42.149860407372216,40.60586710329617,38.52943263993677,36.77632054676253,33.23755094392777,36.611229420947204,39.706173280653886,40.90805033518609,43.43139792722038,40.16769231463755,45.95213202212018,49.3611143467609,47.46613704132089,48.317861492379535,46.36101608090108,51.56986850137747,52.5837293864181,53.7570555759718,55.118412782965436,52.82730731195858,53.26190813248457,51.43235214846258,51.51110560155436,52.44354879659953,48.4539254959418,48.612727630739464,46.72820268270162,42.940386272435546,45.596720416451184,41.770891304159505,39.41533394808174,42.73933833535475,43.131310951451084,38.40813303115206,39.496956257539395,42.278540639724234,40.22601615401402,36.48923271574003,39.13993877580646,40.1621810637423,35.632524648645386,35.80162724146282,40.189553480043735,41.797185323367096,44.415467708053455,48.30637130241624,46.83104001612434,48.20185595408109,52.97144862589767,55.85128333420118,57.387539703611125,55.57829622483536,54.63721457760619,55.852497963045586,52.52395543069893,57.32306012812609,58.02856475113899,52.51468522939594,54.00586758158436,58.920537331299016,56.38008875598582,53.56243223800686,56.35827431654651,58.76468206663755,55.14348392992809,53.18111403314725,49.43632618176749,48.47036215895123,50.52909321774633,48.57668939277886,47.90838317158774,48.41216768278895,44.71382033507513,44.131773157793944,44.64751499513577,41.82969316926205,38.639391929352215,40.456757003398494,39.620495127806315,36.49299470520596,37.020699136420646,41.108522567918676,39.02832115284411,35.56794134251898,39.947824792371584,43.17049146485429,44.37765356903547,46.49895762853744,45.71144291238385,50.17435256020952,49.74865178224354,45.6632408645005,49.07199366696528,51.93847376725403,49.63428847684101,48.85317080015349,54.58317566888911,54.79788381997896,50.63241313001672,52.68334476165848,57.54642769517044,56.83763421914852,53.56815826621697,49.417964119861594,54.24440157272159,51.034701461948146,50.071583152994826,45.172491148143166,43.113679441358066,38.389809641895944,40.84181753901624,42.29833804360425,46.03498194504824,45.40676437725789,44.89200901175771,40.075960654208984,41.2229089591597,37.03594450446465,35.20241264295637,33.62814226084993,34.024867622718624,29.187445311883586,30.287524539018353,31.658423696226915,28.105646324888717,25.835262903653657,28.710215844889213,30.23168853251762,28.163700578245454,27.627725030010485,27.692281338564626,28.084824042761316],[30.74279691279691,32.68033639377764,34.64717717487668,33.738973516532276,35.559996008621134,29.09485988016923,28.855878012796552,26.673903066620348,23.530264931859545,25.79611761745118,23.34810806179523,22.082243201778443,27.588691637807386,26.682724007068217,26.55224850199735,28.731612794175785,32.07475350997129,34.648098791523616,39.05479149942404,41.09292574172701,44.45565467743907,48.30548173656636,49.88810407215922,51.45106086106272,48.74243183063162,44.788372139810086,43.096950928094095,38.924285003528496,36.28752037314113,33.545539485368906,31.525353842674377,30.95136341889461,30.254369940088818,34.37681154491861,35.66416887611226,37.04324481691921,36.86049884525895,41.25235381140809,43.52239584789321,48.92694617551064,49.0914533516915,46.74882618167875,50.1639126816072,52.58326997089629,55.28421671266805,57.28778963205488,60.24068259416421,57.46976803152287,56.4769616619275,60.49834537220205,59.17929545818731,58.48440368696925,57.85322264261079,53.00390283543435,53.5269508652724,57.4202537845851,54.90774000362027,50.88174393270075,54.60124471251873,57.576312285706315,52.57659592054752,51.0944731123393,47.22744401270565,49.71079809281699,50.0863098517858,46.11798750074592,43.02806533062913,38.7976788400993,37.568228973267246,33.06009448250245,34.0272548818099,34.42631166976929,34.00215535779851,38.73866983716506,36.56380018672505,40.67937998482086,42.16895274189022,42.13748508859044,43.517602591546925,46.87532287172735,45.03509948056815,47.373780314131714,43.8572954905082,47.68832329615375,47.08376930511034,43.08673450753232,43.84913858800872,41.12611566556796,41.00194978052714,39.2543081416316,37.00333281952458,37.061211446865144,33.18859444067083,30.189872893801535,27.781721620729705,24.923870593454204,23.590822175713257,25.34006886555741,24.194137091249683,23.01850959267362,28.870499548240325,30.29295205884511,34.36343239080332,35.36076834460774,41.1072040351762,39.30906674189554,42.1932504951231,44.48945644880677,41.71482637592269,38.52502314468946,35.8011745428272,35.85390415616819,31.828908164616564,34.509180480456266,32.30333847600984,35.38294801569127,36.16291594199299,39.508276191433474,39.95026731746798,35.572960103146,34.502579738060085,32.044455282899314,34.66748109853044,33.197416120737294,31.241901737694533,35.771203048511246,34.24216432673228,37.819280850262956,40.21934318099975,42.83824365496413,45.782730028887556,48.379564075802406,50.20787058744926,48.00210754524309,47.17135986508991,43.20602210261542,44.5224625758587,42.397030544610374,41.331325568879926,41.901833532833294,44.51428259662871,47.402404962124265,43.874261300189275,41.925686434688416,43.11012672652262,38.90550111691765,37.72176303805135,34.53490215840543,34.09802852999047,30.008108959576738,30.132838558085528,25.131073253189445,26.233447962862535,20.91496007599214,20.708787916878283,25.030929280506538,26.559818647400345,30.00089706787432,31.357841060614856,35.51309447416756,39.02531297121057,39.428052071357115,42.54493426273705,44.830287106415575,48.65089033499538,49.20506936307147,51.69275554551303,54.89189696959588,53.35774867293701,49.72389506300701,48.73828596472182,45.46859726446251,46.02070418853434,44.560019051087224,42.595910470661444,40.72721429717722,37.407531876674064,40.64849575460215,43.86029737905057,44.86112929784439,47.42656901780069,43.8496543515861,49.604964469682635,53.05230068163186,51.235552631768286,52.4075671280069,50.625660293376356,55.84349794663898,56.79651171848026,57.81509890565398,59.035388465728936,56.63711173632366,56.84962346905681,54.839884271649424,54.720473483114446,55.38951111876672,51.288472606770064,51.22321608210614,49.01614607798286,45.27145642713795,47.51337288230545,43.65370886411973,41.442544873820864,44.426180295670534,44.52652785091216,39.80156978668692,40.89313874438541,43.34136317330313,41.03280798077689,37.33319690947889,39.77904156312796,40.45871306271028,35.89371187316897,36.10191985505187,40.19843625599857,42.15169378187024,44.394469005901136,48.80244288042914,47.475947678879386,48.56998336492835,53.49972938931468,56.010064932012234,57.880571047925265,56.22973284888168,55.63597950178056,57.0281604764111,53.99100619747178,58.89900320056524,59.39611544123126,54.067924181463134,55.83145392330478,60.702327075896626,58.087721589777495,55.514072768219705,58.54929152633556,60.74134132022347,57.036211326932374,55.55215016075629,51.47562359350469,50.81893296042487,52.68285920017324,50.369511749201145,49.809183838205065,49.96053268394193,46.594184245031975,46.03813888576803,46.00069719028128,43.22641572882126,40.260860649136305,41.71464985329439,40.47441019784014,37.291438253472194,37.82911602986312,41.58998093289928,39.19816790758297,35.68093439446046,40.066663357177056,43.158110125561734,44.666653157652505,47.014638420019615,46.65313630133276,51.09768513996948,50.31865394130315,46.534828374622904,50.24320750101994,52.859840624951794,50.49246694876405,50.17764455665451,55.823568060196074,55.761019448350595,51.81423648804814,54.222405373773206,58.857995400875566,57.94600926100227,54.79025114604447,50.606122194556285,55.29357934195024,51.99989792923825,50.70804462485644,46.0002189830886,44.079106001745096,39.3431874947236,41.846758791517,43.615384900160834,47.43606335419972,47.11687230750509,46.5518176222756,42.07963292151921,43.49211752924016,39.526261549558576,37.105425607853306,35.68558069374289,35.67225452329419,31.086296416267086,32.142736853405616,32.82713122428609,29.173840236585217,27.606566641510312,29.91117531168716,30.829597102605625,28.324027894198416,27.63201825276405,27.671148497387538,27.85180771474772],[30.421248869189185,32.29510954238023,34.37197344175626,32.6517592248773,34.854831681997716,28.598501045389185,28.20195985757344,26.709190473318973,22.88115140963884,24.568403598733248,22.131397679468748,21.845117517650788,26.815663364581816,24.9968983806468,25.286417749107944,27.935987663248916,30.742823092342203,33.20353240111988,37.117959453850595,39.68163867208934,42.775107099966405,46.90092676361053,48.11373722692448,49.49182942816705,47.039495220972725,42.898278875313615,41.58363615894674,37.42481963385287,35.199599963332446,33.026778249870695,30.76153719356908,31.04687971873155,30.651815392025554,34.5237275660512,35.69244484269379,36.51053689555558,36.83964711399475,40.57277951667643,42.74524948175409,48.49965773150997,48.04933278312206,45.57754000661984,49.22945652863179,51.41315928741936,53.80302980099435,55.656970723152135,58.72195245737639,56.306084214277504,55.261577109691004,59.48353029773046,58.46772744627235,58.02817717279857,57.53087747768597,52.51666229626291,53.50132930836326,57.11634073847766,54.21435950045328,50.48458654064462,54.319810726595,56.84696822724751,51.6272110657408,50.22205126450694,46.4943247403125,48.47987214317333,48.78860138115227,45.04239145704351,41.365974116835005,37.35210569198076,35.467055924438114,31.052224409266312,31.549506158995943,31.630955737684715,31.83674967680997,36.69681364541515,35.16477963092219,39.61890116460332,41.32588142106827,41.77689171460158,43.25496551521648,46.6134009171431,45.183389271474965,47.44273596887965,44.3711459531815,48.08077951644037,47.04936822657449,43.054384072482144,43.47505989429082,41.28925514174475,40.508104970724105,39.26152859093095,36.4823672401114,36.40879056010046,32.54940948817948,29.940565451929608,27.266053601188897,24.292690861747225,22.590569904752073,25.53127288830981,24.64655344805924,24.616175231748056,29.866751508889212,31.779357386080463,35.327396061117426,36.50519472603454,42.1236852802309,40.034955705990875,43.289777291092456,45.276381328365865,42.352266765760376,39.38220132592198,36.21824866377774,35.85173578799109,31.497624742246604,33.65025976974647,31.016944489107107,33.696702402490764,34.38519817468475,37.36019637499943,37.61527179856547,33.55462947127161,32.13715683439558,29.86216390712949,32.33355654073664,31.259782350612017,29.714028347017184,34.58041669431555,33.779537629151086,37.41898569332139,40.158524485347996,43.106745512999204,45.75966112029583,48.757201896689025,50.25600671272967,48.39331587465503,46.9439622977643,42.79384356078937,43.78139424172876,41.26838056552227,39.7459434760006,40.457454367682004,42.47453798229215,45.41001673122341,42.02262637814164,40.352756409982064,41.83333964810036,37.872038919742224,36.60005102708347,33.86927118418746,33.88550366100396,29.860952328218982,30.720195313419904,25.896034564619693,27.960347875086367,23.072949529292877,22.469550052328184,26.51236861500145,27.25552361561756,30.924676541765738,31.702523033418466,35.91861236824448,38.74247128128048,39.00046762514673,41.58133461526807,44.21213582477419,47.836273165288375,47.954811354371905,50.82009280460396,53.739024544834706,52.35911240314641,48.5522148238466,47.90219191508282,44.54146860870203,45.502959164827146,44.35118929506989,42.624534883718525,41.23746295092746,37.73520223356428,41.54974856779631,44.256676473800724,45.50297313139954,47.49756025842884,44.17252723567993,49.904787549933516,53.2039481106551,51.083059016477314,52.119331484932445,50.05134467129064,55.29922528996578,55.89609778434783,57.17033244458381,58.400567407036256,56.255156946957825,56.47226804693538,54.54779339589679,54.61596749515764,55.337426097356165,51.09010549405843,51.40749388998145,49.205857525654146,45.74757841670409,48.2890404641853,44.72041670801929,42.10361754605101,44.91005018973928,45.50269247841842,40.704465020363585,41.05760989605925,43.94111720655143,42.275869903580926,37.970823026761344,40.2161367934034,41.326497925320155,36.85038668583618,36.381024849283754,40.58533923348708,42.29750199471595,45.15573382373646,48.907740451124845,47.94776869551209,49.426550019482775,54.463085034552684,57.17418933551866,59.064154022721496,57.74609169840009,57.057621980896315,58.63645765906163,55.583931845759,60.40683983517492,60.69567325880364,55.10847255698864,56.98426462983507,61.68013680106699,58.773626219279066,56.15181514543698,59.183680926588025,61.06406725682341,57.214738684869204,55.67608944598839,51.821568120235945,51.536843775109595,53.726333340151584,51.713372871297615,51.48273457162664,52.05913788966154,48.61692788176968,47.6047926585588,47.92188600809165,45.478662841242304,42.09791527907993,43.37522689259903,42.620777079835534,39.461235188783554,39.48611401992501,43.54914092074126,41.446426484769184,37.5718197060918,41.707915158156645,45.06208791337744,46.2554510705538,48.800602973693714,48.34392923299867,52.77686483460217,51.82583722208018,47.662462950302064,51.449139303162475,53.921614453957346,51.32800057535554,50.80498073688102,56.609307865870385,56.26746597070701,52.024610943733826,54.46913070757279,59.195669113037496,58.017388728680515,54.64592117349218,50.260822609488926,54.78188853094197,51.213952206117106,50.3301308168659,45.3935871045318,43.89089181246458,39.06839239997317,41.00955930891558,42.87152965265701,46.612877347030775,46.4317359528394,46.38771201077104,41.83491556954627,43.552682065281225,39.31618209272914,37.38750799358155,36.51378200418517,36.947587611542566,32.385186147390556,32.739783896242464,33.80587604219531,30.557191122883484,28.2139619726633,30.126455433986806,31.69876143405441,29.648901006810565,29.200958697653668,29.429923929038438,29.835401900326616],[35.33673575636884,37.54202604986718,40.04832804774691,38.332038953401536,40.91665873037857,34.70063083006843,34.48805353735652,33.09930486672135,29.267515678912172,30.84088902225967,28.332202464189912,28.11431316235562,33.01115129085353,30.987450545763792,31.05010350639189,33.79304099318939,36.627562380726246,38.75947307264112,42.430567320014084,45.16101062292791,48.00496883570784,52.192844264987755,53.240590778818905,54.71101110707406,52.50139693567816,48.34522574983503,47.30633000312958,43.2399890009652,41.017064077971156,38.965317065324136,36.147295307932964,36.78315494426231,35.978463497589644,39.57322726950511,41.144131201533376,42.068331418373624,42.68148123497451,46.40096726679303,48.691279321486654,54.470135018426966,53.941589482469844,51.22288728454723,54.8263319261309,57.088984307345335,59.32437049577527,61.25157328356555,64.26027762503544,61.94338094298698,61.09035502158277,65.36580287246485,64.30688919395708,63.94280786647554,63.33446114863628,58.39000589737297,59.23115693532846,62.68587457409663,59.766391698642344,55.96418507808931,59.628725113524816,62.15536651045906,56.87326821873995,55.153149359310106,51.364196155052475,53.112727986210345,53.75132400325249,50.205075934461874,46.29685734112969,42.43479446548674,40.39549516362828,36.04054528015448,36.3754576706144,35.92619202665078,36.29800639717013,41.12948021327057,39.91220989848822,43.97761230741518,46.1937848741454,46.45377532670834,48.30654853438115,51.87088490801224,50.69630822183772,53.2116000870024,50.26183351465375,54.11582341208514,53.13933823602315,49.03251958737112,49.20411296584827,46.92813005463095,45.90533208608689,44.30284835038511,41.409633465597345,40.79485030288061,37.10861114013674,34.73944233532654,32.5428081798115,29.26254899714543,28.056417220867925,31.12357916175776,30.578335950961446,30.470043508338,35.755925877804046,37.85879181597579,41.40552318311887,42.75507995358096,48.40318680560963,46.41326960240456,49.61604725612622,51.63616669647831,48.67748931871829,45.72359738955292,42.56495575405878,42.26154680841075,37.89588809474189,39.976228924598715,37.21472592867617,39.75475158302057,40.29016438733228,43.111819710108925,43.013907923727864,39.117034365327946,37.674829390586,35.63153934840925,38.10945606354089,37.26379840597263,35.87749383737157,40.81240403425943,40.07670058932878,43.77159627414581,46.52155545826912,49.51105273931905,52.10517731117592,55.119731344452106,56.64733756643635,54.79844020705909,53.32954987042368,49.16587385954623,50.06051366442393,47.498378013028926,45.839427321814384,46.58789374262906,48.334223376817555,51.211764078861286,47.836445375149836,46.34898833329657,47.84959470499662,43.924572983856216,42.74229548251353,40.12719273653629,40.251000595180386,36.26402247659498,37.11164133634086,32.257968935994214,34.09671987309007,29.010917636075277,28.51232120500024,32.62680316872428,33.514246211331766,37.22207021790877,37.955998874898306,42.288113374817115,45.090608901724096,45.19758818265257,47.77480443046254,50.381769179508154,54.06201334009565,54.11520703043915,57.09024161598928,59.93554934957747,58.59843247552161,54.75305691700371,54.19417372062222,50.818011840110806,51.82228972978151,50.66754320621049,48.886439201338085,47.48776699930526,43.88969176465535,47.605138501279235,50.39604939761694,51.714459722889444,53.785182953247975,50.545373955568735,56.283475805862174,59.58033658904771,57.44366934211445,58.36712287037949,56.187362447469894,61.41447992248297,61.97947502702497,63.38062973199156,64.65696233583172,62.56987947156745,62.82853475774505,60.92081453616111,60.9946983709859,61.67887205868657,57.39104738814916,57.69020581844303,55.38234886463344,51.97003148353551,54.35697417522343,50.782364469901715,48.227284683259796,50.859571575357684,51.33114073957004,46.545839682545925,46.825122700230914,49.552264849459846,47.78102462282395,43.48110496374317,45.54201462518342,46.45204001354111,41.99502938596489,41.45833092680343,45.40231052199409,47.33108738653877,49.98197050261952,53.99646471583737,53.23339507871711,54.55396424149168,59.69971744560864,62.13346423637908,64.28023062885583,63.094100834171655,62.63342929864267,64.30758629840068,61.415025160473114,66.28707123864226,66.47705733344065,60.99606292081258,62.99957359645415,67.6673915167054,64.71381102609173,62.21182604163589,65.33803915721417,67.09245299011612,63.194238096176775,61.862496398666465,57.90588225292864,57.76433701537011,59.87909790524791,57.715156185612514,57.49249957110975,57.85881813413477,54.55536422631659,53.6371044758286,53.67356758728007,51.1906958535513,47.98760177371827,49.12217062354733,48.0996230109497,44.91668923284029,45.00050813017593,48.82233053312253,46.49386310771909,42.63080919768653,46.748477889506226,49.9800446592835,51.39427997837284,54.08399670192966,53.90229429818875,58.31293198698121,57.138282339274255,53.18085650519465,57.141328715710294,59.444905900684255,56.79933192638917,56.55095562447624,62.30331154270387,61.747992617761895,57.61626290033706,60.276537217904476,64.8652226846091,63.50638707858906,60.173147553205894,55.73436278546224,60.08021781057533,56.37958060277354,55.38538854287837,50.5618444347669,49.29195017353227,44.473136050984664,46.26786555108491,48.36295115524775,52.10899053051018,52.16212036824339,52.21945809489348,47.84661465255057,49.721701946196724,45.54205922127401,43.44255385247283,42.66439880658152,42.920213753766554,38.46269656433511,38.815851651568536,39.55962385961087,36.27649799187186,34.27931813103615,35.871995673003696,37.12410730090955,34.81675990117236,34.2745043559001,34.46817037955391,34.672830419441375],[31.586359906679572,33.994364276704246,36.93366072202125,35.10274454800661,38.31018672303479,32.25778987257879,32.542948775351334,31.73163142802953,27.930211282799192,29.819853277593563,27.849587073817546,28.105782172963774,32.780061382739554,30.479359514663958,31.438391756628047,34.27830058856641,36.58592617034761,39.167236869220844,42.674906267700386,45.61690571839873,48.545583559760736,52.84863367383233,53.77288751745745,54.899660740198435,52.607856889045436,48.32211413349282,47.203866023737724,43.02652077369734,41.2331963571425,39.37964454122521,37.304149977363316,37.831091662105,37.66294003099508,41.4752898036648,42.528797260569746,43.05341757183131,43.46602736038382,46.82520155126023,48.792757054839456,54.711510280451456,53.877541387911315,51.5434486053844,55.38043798013603,57.29720484707079,59.48755199435398,61.096081427388604,64.30402062041097,62.182593385903964,60.908665542214784,65.22448561049588,64.53979007214532,64.2023056242646,63.893109673046084,58.75538670143885,60.0905343738034,63.63503670982067,60.52498212231053,57.02611437730183,60.95640431265459,63.21421962969184,57.90171531593614,56.613951217636256,52.996253853712936,54.66378657853928,54.89604610055835,51.29890066533517,47.25654418171909,43.434369818106916,41.03722514672989,36.78362719635718,36.82682297140929,36.63003159997951,37.467232083061084,42.35910975082503,41.3472854280834,45.95732997056392,47.797442894500435,48.4941024515022,50.00071739349935,53.30911704886704,51.98817207194017,54.08174247907987,51.086953175185336,54.6040043329792,53.34987766606278,49.51456778672845,49.95511099171167,48.06969243427363,47.093027553798635,46.138764860504914,43.158789299379514,42.9936176091908,39.1886752452402,36.78491933717269,34.0016807145417,31.04154911596516,29.12392161258496,32.45933813677331,31.4583648100827,31.437127378250988,36.72172927291455,38.28749925440782,41.94691896071088,42.70095318916118,48.233836103765945,45.68009168877157,48.80861247906728,50.444173559258694,47.14442336590055,44.55424142643923,41.02924846524294,41.01731315195102,36.57869532373902,38.652016962634015,36.217268818294656,38.538591901068365,39.53258417368994,42.073627686977765,42.58136853618083,38.90321954033436,37.04329106551803,34.766167327635436,36.63665803275673,35.65458860059795,34.08934340937865,39.00397971412471,38.106668345345184,42.06020841712997,44.83296036952824,48.254674213996665,50.319083225458286,53.554330528359486,55.175650596241425,53.74714378410799,51.91085465605042,47.81237214315051,48.095942515864955,45.69582116983454,43.99527598209087,45.17449266525049,46.83438204340443,50.08606774878267,47.04355092396009,45.45156709002274,47.30048903263606,43.618093792627974,42.079259526672026,39.60283379561765,39.60117173566078,35.464864324275624,36.303093811355915,31.623820520365584,33.86178603209443,28.7600578095966,28.83031835965001,32.94381159643092,33.60957260345246,37.064353458448494,38.00670667015674,41.820084991238026,44.39165119844523,44.982924602681685,47.00678196751417,50.03194249733199,53.24278953840811,52.84046473154218,55.78950843491612,58.401894865404586,56.840501723376214,52.99337162351257,52.63695941294819,49.44806599435799,50.93361236440094,50.10945629832011,48.69426422771901,47.497720643022916,44.158876064385055,48.16981442434087,50.66998603580705,51.83197077990595,53.4755060009368,49.96333531899289,55.60152176501559,58.82210431299215,56.59698090334219,57.937563151236915,55.90433154064412,61.15052409955666,61.41895264902768,62.66137026438205,63.70681677510956,61.62266134279836,61.55079504474067,59.47017009239738,59.42114234183939,59.83591041449646,55.377940497818784,55.689097997214006,53.10207719736523,49.96129119429874,52.16702893333311,48.825617708848704,46.129380259242126,48.32268191798736,48.90930259961485,44.14316032185785,43.92506158364012,46.652439972632536,45.19666697228687,40.567512744298035,42.323884630270555,43.300749231653185,38.973058071712934,38.0149423190647,41.78889473607181,43.72740868417041,46.52392333827346,50.358568892211416,49.92315430789302,51.31936722550802,56.57786123645635,58.921103161438765,61.25239235486468,60.43714633174079,60.142195143065436,62.084446328313724,59.42933982043193,64.27842424461349,64.1284393702051,58.63811524224702,60.93548644673482,65.39309811050948,62.186224530597485,59.873889115155926,63.18767425806901,64.52234566596498,60.48640325949186,59.554485738031424,55.481932662659055,55.882988796744925,58.046517592541846,55.824779439075975,55.98332250728991,56.43307512443487,53.381496478114464,52.07422304047624,51.96060417956303,49.85399006703441,46.490061187295275,47.16752074274524,46.29282191311056,43.14365736475191,42.79058365044132,46.59035227936601,44.363118980913065,40.22970946263421,44.068485922027065,47.39228808789544,48.70068203522952,51.656519026545794,51.68069708938911,56.019439304874055,54.482022457458555,50.47426126280919,54.65628647399315,56.652115817630374,53.828773441741596,53.76320376954758,59.506818735247165,58.56996030983413,54.44101070699881,57.35937166066397,61.7952304493169,60.13822049209396,56.79014635820653,52.26229873045199,56.38574848612954,52.526622663443135,51.54250051967893,46.77605680851669,45.84016604563207,41.049561276755675,42.5500595971441,44.87151035454714,48.58320225606417,48.93465841460481,49.23579085388083,45.15918461321271,47.41270367203598,43.33488543018983,41.07901840961443,40.80148001425224,41.05326298664801,36.91143488893563,36.7141779192389,37.197623323090724,34.21971527053752,32.23472496238943,33.09918440061729,34.339664018030476,32.17513450231363,31.753958703297293,32.101325941744825,32.38439606157467],[35.357820295934324,37.65563435552496,40.51413028016341,38.22674994045776,41.440232978442054,35.57785270512311,35.56819192956283,34.95034347340565,30.81759269891674,32.12217234870694,29.95960875098984,30.583850891773835,34.90942063209523,32.16385795834117,32.90571052604291,35.95193805415555,38.108527168344914,40.27570370394162,43.383600819541904,46.60025860787968,49.193720849667926,53.6070512429294,54.26682625506628,55.42657100373525,53.44820920699685,49.13382565998252,48.40971505715244,44.3777287672343,42.69984284662798,41.18736041531251,38.51995544646152,39.709338472386676,39.34558969962684,42.78855794826044,44.08295286906929,44.446671328286904,45.34382889454169,48.39635606110985,50.453464411308175,56.49751585345333,55.36277545931008,52.72584657239514,56.57309499124454,58.48311772638695,60.40912478043519,62.05886610163372,65.21421366587437,63.30505155007706,62.245927943469596,66.66623998533048,66.02533865969359,65.87535343976627,65.50060965508492,60.386049432418034,61.76787996219592,65.01927824226499,61.73830114367782,58.31397308130818,62.13351428614962,64.18521610675464,58.75489984567625,57.25247619525664,53.67262515696316,54.94599457136728,55.400899538805284,52.07582197265583,47.66779448579685,44.0780553602601,41.37655488234818,37.2524547707619,37.040097637957594,36.34814073415385,37.474148714286436,42.31980738686736,41.77680882966404,46.20046605669061,48.46830066708664,49.239525234646166,51.04523807041563,54.492447496941274,53.585828751765,55.867191503654546,53.23374237507171,56.838922113768184,55.45371236841745,51.49774129472462,51.52355067246789,49.807827313551556,48.32973412251154,47.335376665895325,44.05768128992224,43.47099348860157,39.83591281688969,37.799655874841534,35.279988468866655,32.10634685876467,30.451486057749218,34.3186580205396,33.7665329839445,34.31137186632134,39.21861914946998,41.346235612291316,44.61768452333164,45.79308785628659,51.27216606090647,48.843162030566646,52.20746429520695,53.82442211242511,50.606149218141965,48.00799134830551,44.4145813066115,44.01456339536323,39.462145251359516,41.145264957131666,38.291473767785455,40.3574170444734,41.02061052922384,43.33480193870718,43.32813909122989,39.89764882369501,38.010139856789785,36.0893771170535,38.07594623473227,37.52320162795729,36.40169694667849,41.46816484657999,41.160343853708596,44.98967377800793,47.94406565343426,51.35714261035937,53.44586139189517,56.82476150238212,58.17754889066112,56.794539498550854,54.72584335447228,50.507247273505214,50.81928330022681,48.094367929017686,46.08238010849606,47.16148698972983,48.33695669332915,51.39265885813254,48.346599400939596,47.07225261453758,48.94990992821521,45.382765007079996,43.99263485974483,41.820710885707236,42.19353054756572,38.23920181143968,39.51198321690465,34.90950895652969,37.41961165936929,32.55812239717199,32.16142819605601,36.10251815018599,36.45852989348215,40.13323434315267,40.61270240601088,44.6891987060089,46.89809636152856,47.127187407465286,49.021671190782996,52.04906767422556,55.318284466862636,54.81076185060647,58.0345500154434,60.512601729703235,59.188964903933574,55.24941831515696,55.06247985358962,51.75534462369365,53.293205470055256,52.53399905350674,51.10561236565261,50.131445883339204,46.56262921163899,50.74225352547216,53.05962995815654,54.46248030344557,55.936446553027984,52.76415583257968,58.39701720480515,61.53400702778599,59.155809192131954,60.17381601117007,57.86297947020293,63.07608122208269,63.22923249172833,64.7477701160647,65.90839029529597,64.03003429525391,64.11938322142984,62.19488364518008,62.33412097103039,62.89653174784979,58.43932943038954,58.99925328563975,56.53911046568541,53.497511298588485,55.93398212758212,52.692082610000604,49.83691973317247,52.06212652949381,52.884430906219976,48.10420058097081,47.624436811174036,50.574518416751786,49.376786252232364,44.56250190406851,46.26628140587678,47.43758575315476,43.16152170408882,41.95928574549872,45.765847125707765,47.56573376378596,50.627458945534435,54.12363777951353,53.841933170674125,55.41319824878915,60.67983556387984,63.11651915164134,65.42566404421677,64.70044030383656,64.31963421417242,66.27480495187716,63.54448740397972,68.34099129098988,68.18875292688439,62.580478932633945,64.83341794757558,69.24474010352932,65.96275092765616,63.57021038662365,66.80049373010608,68.07913686790884,64.0152923156255,62.917662714821134,59.05220618539794,59.48022372239228,61.80912575256469,59.786336945210486,59.97802274075817,60.61173134034147,57.43089254690845,56.04678533459192,56.16901104810795,54.088013512047965,50.59780286466771,51.35072841377927,50.654153487385635,47.51530090787911,47.07357192413612,50.994348413075514,48.86355461951023,44.674458646136856,48.45369364100428,51.84812248529995,53.04558271633079,56.01724101260792,55.943603237943286,60.282297844529424,58.76022661204384,54.599620921014136,58.74254963293896,60.735550628723374,57.849028737952885,57.624267705817104,63.43048771488645,62.43074858694086,58.15382703613483,61.01005481794797,65.51664935869942,63.77477214039714,60.31843332221489,55.71654921716562,59.74207357446129,55.75848499066023,55.04040202459398,50.16803194808062,49.4439412899799,44.64761301075232,45.8308767383665,48.141186142579464,51.76509133422432,52.135688312989956,52.709163682704435,48.52938742216183,50.82430713097127,46.57696597717851,44.70652904469527,44.55925406145829,45.046654049498336,40.830707321270395,40.48208627978762,41.245370731298436,38.39242626384897,36.04330563620199,36.92776757271262,38.48752757086332,36.512602204991644,36.15726731036187,36.515702508406044,36.8377216572797],[32.34694161178277,34.794153549014695,37.99207104206921,35.66833688349092,39.364033003421994,33.69639859211182,34.114133757703755,33.94102201551786,29.934813904262818,31.522479621790556,29.82963046646452,30.745974249285357,34.8913736385814,32.03118205097649,33.463962365165365,36.51519573943915,38.278246471580324,40.82138182170297,43.83682340683249,47.15247358280783,49.84313718031017,54.304538439208685,54.90511068719251,55.78842822102655,53.71314020470134,49.32658919503154,48.49126186585938,44.382135661593246,43.028993119429686,41.62918907287003,39.615697318411215,40.61370819257034,40.73321443987695,44.371274000982936,45.25017981272988,45.34656413059,46.01804684221258,48.8279615855495,50.61587532045347,56.71725388252737,55.3992524274581,53.10984204021524,57.11374985521292,58.754082205574846,60.67573504369718,62.06635378351641,65.37434789984528,63.5916621613398,62.180840049341434,66.60175412119848,66.24624365207578,66.0875643278332,65.95056846227031,60.706861873931935,62.44918451382415,65.7992213972418,62.41203487256824,59.21838913750501,63.23886696006287,65.11270910500977,59.69817703442355,58.55990475390656,55.11437348893594,56.38571948090278,56.49873190060787,53.107158274318266,48.67844083400776,45.10624587284358,42.202770258736805,38.17309429354301,37.78142686095551,37.36431050207166,38.782319375757375,43.6376171349247,43.17608666222071,48.00235807970272,49.912605249381684,50.985634177319334,52.484004658292776,55.70647061423851,54.63144288952182,56.5628430541227,53.85514950833662,57.179311342600684,55.60976413171161,51.89595012982151,52.18319280999794,50.73919979176794,49.379945056511446,48.86765044792229,45.59368564989318,45.402793711005955,41.67406321571771,39.56271969051266,36.60882412361843,33.72366697821882,31.55079260017402,35.475895015506424,34.541689166846,35.055294515166295,39.975034508252676,41.61974097537652,45.00334102685086,45.674349336924635,51.035842440606395,48.18182549971729,51.43672933533318,52.749039405632786,49.27684262814318,46.98200864722779,43.14305290980893,43.017217293014895,38.46812330928693,40.171011682520415,37.65285611864022,39.553849247471064,40.611988222594974,42.712019656553124,43.25131809653342,39.98887259511677,37.79712169293624,35.66887020665736,37.13249737518469,36.42902397440648,35.13116915962668,40.107428144731166,39.61343545285451,43.62360195409582,46.551915514449774,50.28025808850127,51.93440789993121,55.45106693768149,56.902526123954885,55.85108927984254,53.53391351811218,49.40675338361661,49.22856403685861,46.68935317615232,44.69253737624384,46.11953366275468,47.27421495694845,50.63722416294755,47.876389180100645,46.487807028190204,48.62257401916134,45.25300268911597,43.578957361272614,41.49483022126793,41.721068824121055,37.672349093432445,38.871296650483984,34.448208718364285,37.18539992192961,32.34989636113316,32.41752193659372,36.332574513309034,36.56763058330979,39.98893965972287,40.6790823482095,44.29875935695658,46.35877234927453,47.004324180084716,48.475369204094385,51.8083087400388,54.68954715543187,53.835923583568835,56.98919649261017,59.286046541927014,57.758209664232325,53.84743153390621,53.80485886813245,50.681194797485425,52.58373609466906,52.076279391794166,50.9380034501647,50.09297610014437,46.77208083817093,51.1215539641857,53.235859535577255,54.480809223642424,55.64580595142486,52.23814112737577,57.76364079975139,60.83736595774907,58.42124543665636,59.79917598379676,57.65016463515922,62.856721335339024,62.78858787916367,64.14522062733217,65.10480998928362,63.20965848895298,63.022782675542736,60.95162154263727,60.970032363522606,61.2987571235885,56.72457368710499,57.262839791569895,54.57811588687796,51.76284212696199,54.01309461916163,50.96744050469077,48.03857419677972,49.889933037016306,50.775208225256264,46.04881840901229,45.19287877490017,48.09801268677781,47.14162084462906,42.12007082233356,43.55967363481697,44.758019487687584,40.62641365891864,39.10715722233957,42.72641324627624,44.53119200610683,47.669488929305906,51.02158090994838,51.00260151798671,52.60947982252534,57.93907732023562,60.279765867596424,62.73490512084168,62.3033696963607,62.066109613403235,64.2254751343648,61.70549302092879,66.46812116595724,66.04524016501726,60.46797188772623,62.9506374570834,67.18010933251495,63.716279409310545,61.496978931646126,64.87136389867216,65.81229487713983,61.65890758887775,60.908924109779015,56.946482598908574,57.80453564908163,60.14053008470882,58.059477484378725,58.54549346129052,59.21864055951252,56.26672423615256,54.60005154121673,54.57622073784895,52.79783951002192,49.22162478474304,49.60307795046815,49.00787021646962,45.921081806285976,45.14880316217867,49.00535100535183,46.9620776860013,42.603937177984164,46.12840709545412,49.561631927685276,50.676163434393544,53.83991679548291,53.942626270828235,58.19871325873054,56.39076904197288,52.23211817982654,56.533022932617015,58.26561997947847,55.25647426312451,55.19953762951578,60.96203806804362,59.66125800093924,55.42221440373029,58.482590367432365,62.83427683247766,60.86282286628809,57.41974430658902,52.77441170884768,56.598043744033525,52.51217951379286,51.78274918478664,46.99806251113053,46.54535200410289,41.81036710224747,42.75877368155067,45.24815719750852,48.82739325555601,49.44692775259742,50.193355113092636,46.297243745949174,48.88080497461965,44.76676087910448,42.742749527510085,42.98998221089362,43.443761014163734,39.531318449524264,38.767188795769705,39.28294121359566,36.70373220714157,34.43445703810562,34.71598281096407,36.21917740424287,34.37456167265035,34.13024383824425,34.611474674316014,34.99097289331145],[30.84692138566025,33.58516067814776,37.25990310815901,35.176350196972884,39.381173408870126,33.890781501236084,34.86342145132528,34.98421262199869,31.29947344604187,33.311926946497934,32.047020049445464,32.999441112591036,37.111531988330555,34.346908106334226,36.26938159367606,39.23354062401412,40.77868694878118,43.652050116443974,46.67298743633032,49.977400636650955,52.78699525481568,57.238581760857095,57.84697025259351,58.53045780035073,56.339815665693685,51.93063489984435,50.937657688701684,46.76553375388712,45.61362070301557,44.19167405757373,42.74312187129881,43.41882085747064,43.83804256052672,47.67462848237579,48.27690180934781,48.28347459863135,48.66534533018115,51.41377281679855,52.98782453735236,59.06107781236756,57.7093609755532,55.74738606124874,59.8349518591977,61.28950370860783,63.25926075381095,64.44683918469178,67.86628348856811,66.13551879519056,64.42495276966731,68.80351785598337,68.64416213300223,68.42533241874428,68.4678578679441,63.15047971773257,65.10016215127436,68.59004978527405,65.19583032601,62.13178130639092,66.28679295519188,68.10658007742445,62.74518677141187,61.86922724274099,58.49658185893506,59.846488565556136,59.72313119396797,56.24657361231608,51.897412848144,48.30715979909693,45.3548013100454,41.385834333891516,40.929097555113614,40.74612029408914,42.28943007531894,47.13092935438189,46.63471413601705,51.67860940763481,53.31442305890003,54.51018360854244,55.77620527731736,58.83367551870632,57.54104823437697,59.20582499238068,56.33079314968499,59.43817920158288,57.807740041278485,54.310262518101595,54.894311206618276,53.5544359071791,52.42681209568485,52.16999386431728,48.998219987827,49.09294602022282,45.29491241371821,43.05771636943177,39.85173106218511,37.176106944561646,34.70838616681319,38.44721198950415,37.157801471578665,37.368129885242254,42.44815881234953,43.535133936732116,47.16112900749344,47.30786458805176,52.58426890240916,49.38471346095759,52.403704692787514,53.47871546582314,49.76547230003619,47.7473903551178,43.773227203802506,44.07970762433068,39.62898461781692,41.48864678795671,39.41113938951167,41.23517222358497,42.68442055208131,44.64738750023254,45.70825925170551,42.54728332684867,40.15761065539694,37.820370283534956,38.8149890926112,37.883290830027725,36.31234861476258,41.098488518002455,40.19635295469381,44.39233234839805,47.189756676641295,51.17129648295873,52.419318875751536,55.9691151439982,57.63303402525056,56.8469113660842,54.43835934002204,50.46490352536395,49.83226770987663,47.605881426466546,45.73712506891634,47.49374601097223,48.74513005878664,52.39516559976685,49.88839205414196,48.34220628117184,50.65672090793594,47.42291472311155,45.506821949186175,43.40562441962505,43.380532301511344,39.224251198129544,40.14514004224656,35.85956826608347,38.539848092189246,33.60397708112132,34.25578189313352,38.21693598048732,38.550139520461265,41.66699740224819,42.71033719708102,45.87430806450287,47.96592828551555,49.0449841310511,50.23501217667951,53.778514803154685,56.32922231631962,55.224304204082216,58.21442967950922,60.380859432020344,58.596693944682286,54.76475255579462,54.79796016835154,51.89708964677517,54.074275442001195,53.74056006345621,52.82373223889273,51.97747520160787,48.93479583885113,53.28629796697809,55.34752376548591,56.37985760322286,57.399070186480756,53.693471401056016,59.11114498006637,62.15827773559991,59.785975242784,61.5556911524646,59.63060148143539,64.81911392131808,64.61185950457346,65.75449254374115,66.50895635536345,64.53630735716601,64.0602176350607,61.80932810611691,61.64093250931601,61.68522002851753,57.02085104100764,57.41175590514615,54.44599035142964,51.81576526983877,53.717635347082926,50.81271103615252,47.94328750425294,49.36855744783414,50.138831672029994,45.51099641260742,44.428410536724236,47.08981064364575,46.18922023230645,41.125186079368405,42.25521328827292,43.28281413993063,39.31521751630375,37.61564092150297,40.87815150239011,42.834810567171694,45.78772476326431,49.26050790867749,49.49903973324887,50.97115165018759,56.368671925620454,58.43554593784318,61.1408759291395,60.99741169134135,61.029024173288725,63.39724827143257,61.17818084280436,65.93552816002266,65.23186364433245,59.80951239025267,62.55714450698663,66.61754788063239,63.02314869398588,61.0562698542874,64.62087159009828,65.23368384228509,61.012641106717936,60.738108391802804,56.57156345197295,57.84427189476065,60.06745936792001,57.79079103540635,58.51784651539478,59.05336261297527,56.428535217991154,54.599206186726825,54.22795288026231,52.696336642269436,49.19788150057276,49.16136548784933,48.467965516129865,45.4387277654745,44.44687913940174,48.05523823513892,45.969875691768536,41.53316772201592,44.80838234692006,48.16118621116889,49.33802135524878,52.70876704824214,53.13118871683135,57.277773972850625,55.119500052555686,51.15129012825165,55.65831315123498,57.075040104991146,53.9808834484382,54.270860938105955,59.90727025341854,58.276417846765916,54.218896745841256,57.56807608377665,61.661924277576624,59.45206586666977,56.11288158370876,51.47378263178989,55.052100405743154,50.90455140896096,49.98624312501016,45.431964529354765,45.23428551900771,40.615393715507224,41.42995517630642,44.16271199845867,47.708390151094015,48.641099865478786,49.445242647894766,45.959993652774585,48.814545277696254,44.95537629019952,42.56516274219279,43.12064099256244,43.358490280725974,39.81983068893046,38.79210038522477,38.82316503681034,36.4439220411477,34.58884448591428,34.217675364592964,35.35989577542845,33.462864425568924,33.24702405161334,33.80045452165877,34.11539831348697],[29.830689966359188,32.28995387906961,35.82109084965064,33.09624015562588,37.452802769496074,32.40720682673974,33.25246747486892,33.94687581802641,30.037866623943923,31.599058452925803,30.596942957338175,32.18870380874198,35.66682690045112,32.43156168223618,34.78288101369168,37.87919085629098,38.86488943214123,41.69883201006411,44.26538055787912,47.8392037246879,50.4475026013051,54.98777130336778,55.33091230149799,55.77306877803477,53.747862020077875,49.293117397888494,48.52548130712543,44.45598077427094,43.72892880338646,42.75920019270754,41.4747321240989,42.562915226108686,43.3388270337059,46.99423307453148,47.32892894509577,46.88258385100836,47.488792587904015,49.654726786749514,51.033416017174126,57.22900780453247,55.43342007188304,53.55093904374081,57.76573522642729,58.942270461129844,60.67609414012878,61.65539901429631,65.14918272092028,63.717957155544205,61.88165441378252,66.3299145762399,66.46646507903891,66.41601659176982,66.62676563466388,61.237549248757055,63.58753433460759,66.8770387351102,63.23993209413234,60.50544044552822,64.74954923054527,66.18464442643575,60.774849148743286,60.12306348880379,56.961455299367984,57.98570146239363,57.66293283125182,54.36311758397452,49.7543390731122,46.40406189143936,43.05963419243817,39.348764193713116,38.53737344276289,38.31091170118129,40.314339593034205,45.0550842848588,44.991388971694,50.287746367477546,51.828657189867826,53.43120230145768,54.582264535573344,57.47897355485084,56.40416987790542,57.857693267799746,55.30755382393308,58.19029452936969,56.24471601978651,52.893433539150905,53.33105947851036,52.46656232078048,50.99905927590157,51.26449083056216,47.86224083609436,48.07627247029194,44.35594885278796,42.383072031582465,38.95349795514899,36.47814313865467,33.70858542188493,37.9426770416623,36.72158581387905,37.5861656119167,42.126705128155095,43.37363073202628,46.57744631449697,46.734524207425636,51.77673858421205,48.372788041080156,51.59697978090001,52.38452051435668,48.625561671026,46.84496013341517,42.62774375394527,42.63220903780799,38.10666776385377,39.51293792871371,37.31043214064865,38.72636402090736,40.18552201991869,41.75101520539585,42.855713075739146,40.08408523634162,37.44128845316753,35.255432225154166,35.9005685440444,35.24938173736359,34.007216726949416,38.81026614681255,38.468786880463405,42.58446075013625,45.55712977306054,49.72157650860138,50.680256679330384,54.485542395619014,55.862040969213645,55.388633007246256,52.52417841885108,48.51203697802112,47.5788968763611,45.14134891277121,42.98912758637215,44.878769117634214,45.666525504931556,49.34697093656456,47.0884858636177,45.738207628287334,48.26993697513112,45.35434924218261,43.35158783091519,41.65919223982581,41.90641989211914,37.936436553997986,39.318559277101535,35.368516476662236,38.625554247774595,34.189103690652665,34.592753222436905,38.214430962950246,38.00668991389555,41.10124635466356,41.769615976182074,44.76754564907612,46.28187686910935,47.337314856036606,48.01074962745336,51.78775400222452,54.04584140523794,52.573583614243674,55.76236069066048,57.65373357355377,55.98183866984959,52.09841570152956,52.40340797857137,49.533144147125974,52.030648997303715,51.98162797282575,51.32132197445817,50.86132028604088,47.83125532750151,52.51760503531026,54.13481443441557,55.280152872288156,55.80110566901672,52.30568044564273,57.58381638646968,60.459369768830136,57.895741008045725,59.61026851589972,57.559288945854604,62.67852654947463,62.17224038200207,63.44013413017821,64.14745446917884,62.387402373013984,61.876778567561075,59.70699132253647,59.67583723789649,59.748079133859534,55.04055519512292,55.73988680579875,52.84530336557664,50.50215308134094,52.644446102677605,50.03690760078751,46.88743435568241,48.168142993021846,49.36862098178572,44.782370327888636,43.11975618384903,46.134665411531834,45.8297235011519,40.39043125158762,41.370169994622174,42.81452259457107,39.027575281358956,36.8161876226781,40.15998524195908,41.76828724777065,45.282071879320775,47.993383196380954,48.48805542753505,50.32844589085719,55.68848420556075,58.009649448440705,60.59458067380855,60.67806382104177,60.540419762166856,62.99484105840807,60.73045406745257,65.34534590434191,64.51527949969422,58.909537306584774,61.672480642439886,65.5469403892956,61.76534800254473,59.74955679030192,63.2377756033381,63.61045376741238,59.335684021480546,58.97244099899649,55.08187129575398,56.615883333752976,59.08931002855648,57.13278841887918,58.10858192395014,59.03503548580081,56.34115151104713,54.161824607772765,54.16327789801148,52.915808262292856,49.10908671356588,48.98675175254932,48.771720016739216,45.828142572280946,44.45306561926146,48.30954071769704,46.571469024716926,41.96201870903149,44.97620936548112,48.51822589829317,49.3329242655943,52.74442823378535,52.97731142224286,57.06203107806113,54.88347231818653,50.59040792814569,55.0240497510889,56.359753774539925,53.140393459428466,53.154039646541335,58.857697369779956,57.081899336685304,52.78760893473683,56.049173808986396,60.20800485382574,57.85067454241405,54.35398534640907,49.62744696151444,53.04614802345707,48.74758326081221,48.26637735764338,43.55333193225717,43.684930681676015,39.11375259606979,39.412042621323884,42.10459428094332,45.49102733923692,46.480471239003066,47.70945775696093,44.20686903430994,47.22923129044539,43.24920608139308,41.35680558966143,42.33316074958305,42.95348910769583,39.53245925809373,37.98644945778969,38.384505859794466,36.424645574386076,33.980385709963606,33.34184172044458,35.05849349800684,33.687506876185765,33.716865559783415,34.4104804375071,34.95576165861795],[26.804998815429773,29.417448591374406,33.33967447574598,30.751719745057844,35.62824716047757,30.996580643402655,32.41489850728976,33.57033664751109,30.077370473949284,31.99764426117319,31.58176268697597,33.299862745464495,36.529777615424344,33.42074856037777,36.385432184504914,39.32810551801385,39.944833205611346,43.15636833770699,45.67110609155477,49.190826616597974,51.925108178027685,56.40666572406035,56.755187887186054,56.91791915107319,54.74958957614921,50.31173302309653,49.34913173903048,45.2582959813394,44.84055144636708,43.920015018037006,43.405624821282224,44.13859079625621,45.36114617292108,49.19596598293142,49.10981427067826,48.47359016132104,48.74009746585446,50.70713385443752,51.77384502919466,57.890457483691456,56.01629633838587,54.58495791995434,58.88218568521371,59.781833395974544,61.55599464532328,62.25298784615973,65.86911010235649,64.52598893587584,62.30674630486805,66.67151283026912,67.08390723747013,66.97594212864219,67.43641928819491,61.9814442904253,64.64006222531677,68.059776483363,64.40712161108367,61.90564032890798,66.31335099377827,67.6209355279475,62.31800580788654,62.06070597167401,59.0479572363491,60.157286353907246,59.47773178231428,56.09511576127265,51.63573026087536,48.305889868063275,44.931458757099804,41.367000973562824,40.484026713737585,40.62895368549612,42.75325744373208,47.40739147809146,47.29624302176849,52.88068026220256,53.99190747178768,55.80866819953611,56.606290717507136,59.228763263117465,57.91209156753533,58.97136229138596,56.2993950640701,58.84345498459452,56.77774398338195,53.751188849401764,54.53559749745269,53.896865211427084,52.68712157886594,53.38009368930924,50.11135460771541,50.749437283892064,46.97555917756389,44.89322729288462,41.13234892297555,39.00607102773116,35.85340564653254,39.87060351309374,38.25430559496864,38.93421171137608,43.434122039814525,44.059989713788916,47.383402305491124,46.933904061871935,51.75592738738563,47.943004772188644,50.92476727276176,51.36149965251572,47.365348126254815,45.976173433114,41.59813135117791,42.009791855429555,37.65595119147278,39.12848769647029,37.47553960477521,38.72297174768353,40.6455661790874,41.99341117260474,43.769367417407956,41.180098690479454,38.32278798716204,35.91346897074695,35.93222229459426,35.02712503900958,33.521533161907676,38.002911457183856,37.30766031619302,41.54888874430644,44.372822710282726,48.815033136240196,49.24447869981615,53.111070645820696,54.645182079995614,54.54302457739693,51.50329771578932,47.7015094517133,46.20659730557555,44.125162943456054,42.12033212922287,44.39102283385432,45.26008316132433,49.254332253549705,47.35115946674426,45.82886957551334,48.5698325835172,45.89606483916846,43.61159033654198,41.9845918694429,41.98021908583836,37.99385038649952,39.149370088163174,35.527063490082746,38.839328765472445,34.56111011104562,35.502374600008864,38.996321319936456,38.746345755012165,41.43256041699048,42.40149067786115,44.784970758058094,46.189323126920705,47.746317808661466,47.9923398100787,52.01468392446673,53.80919565644911,52.00780281456631,54.99468559961732,56.6878839893763,54.744473503237444,50.98097164275684,51.40448446831338,48.82771603762481,51.66961483416581,51.87612967522306,51.53558336805871,51.16286764511627,48.50093621878327,53.21940852737102,54.651980987359465,55.5591190202698,55.79498512027248,52.02844280323867,57.10311650062317,59.889476919973674,57.36011937821598,59.51439907703645,57.73279484984934,62.7827283555705,62.076212247491384,63.08800435491826,63.54151236970153,61.73346861766126,60.88505046482207,58.53910741079755,58.323379502259044,58.08623205719376,53.307079016993626,53.909558097000094,50.75608978632739,48.70507664866659,50.529577373198855,48.18410545601116,45.04321256960228,45.822118563431545,47.02756262042207,42.6046016598591,40.54419368964085,43.39004194645502,43.35137821143211,37.79999759928531,38.40487682048982,39.81639652360403,36.30742922517574,33.755009649479774,36.74202915029441,38.35592349806804,41.86369104282647,44.40645223243275,45.22057076150415,47.04512133121595,52.42060286451509,54.57012199727319,57.32312067532257,57.7565432673763,57.81621163988583,60.488805504333904,58.52040709613624,63.05445765960839,61.91112739833803,56.43099802491991,59.44966234722366,63.07713763630334,59.13080969130778,57.36781880037751,61.00938422327811,60.98556605929767,56.65239295227967,56.75846383253976,52.749967023684206,54.77637372671124,57.18453048805803,55.138942330586616,56.43866216356022,57.353825934717676,54.993737344106194,52.541773109587005,52.31633353810556,51.43974585070956,47.637395353434776,47.05604509008373,46.92950081424694,44.113300097724355,42.380801545011124,46.0468407799557,44.43506220693511,39.73299715079793,42.356470475820586,45.86440276158275,46.58028137580087,50.176812164009085,50.64655926647951,54.56990035690213,52.06113496827459,47.866761455761505,52.443669317370855,53.4351852504117,50.11340687363184,50.37903011044597,55.94350505736682,53.81777924329099,49.65413123164847,53.15538948325405,57.05884946022326,54.447238363654584,51.02641955160528,46.311193885680666,49.44306104663357,45.071451765663156,44.51900758639629,40.01311147378728,40.480310382237995,36.08785948175968,36.10879041516161,39.011195635113666,42.29978989372718,43.61086334798639,44.98770326809955,41.94614435618038,45.26607140955986,41.58027549126985,39.45355371346426,40.87244473275887,41.38207170201838,38.45335971465685,36.477880415754655,36.48382847349208,34.925540741545696,32.755850980864885,31.33937939089896,32.85502182255704,31.673957389005643,31.847787884377126,32.68263781517944,33.26742927753067],[26.891628096034424,28.96320860115777,32.39289494441728,28.99983561551422,33.72547539795956,29.58958753593092,30.595157166914348,32.2402198833557,28.456747637204728,29.680726047672174,29.431461769868882,31.782485534841545,34.27455734680207,30.68526365719449,33.91891215810781,36.969631387895234,37.041190496250515,40.07221691868059,42.07401739567561,45.84498759826104,48.31209823410582,52.85409885398294,52.92500277629757,52.89326403312508,50.94205063067389,46.49474966744047,45.82411973414422,41.897927538124186,41.877686738086325,41.45596164189229,40.95976000251875,42.20226934381136,43.68823448429811,47.230327780393495,46.94845173470999,45.875062762084,46.460886395409716,47.817073354837845,48.73839047434862,54.94999123944653,52.63472235076156,51.18936920088667,55.564594928545816,56.22949162659566,57.73721922025081,58.2836495163093,61.92651884872522,60.87565369981094,58.636917953874686,63.07105012621006,63.72186020020435,63.80707709646723,64.37732610976398,58.899916153798706,61.888276123310085,65.03790275064027,61.15560639117243,58.96694092560967,63.398692397243856,64.3214949917635,58.98416565514967,58.88387478233605,56.089081661992786,56.84328812712839,56.0217390112208,52.866765607819914,48.159284648521485,45.11613928849967,41.387135800368135,38.13039017979871,36.904406870351885,36.968269409567874,39.504552653496,43.989999493434325,44.32869809303465,50.05678280209825,51.121519660865886,53.305834375704144,54.03954831728924,56.523174866324446,55.50669729256282,56.425945223791075,54.16809405392317,56.53741776683514,54.176943166837226,51.25084401472251,51.777701250316234,51.605136673913236,49.98478450471576,51.13672187908902,47.64138365922258,48.32655598826634,44.697689896975255,42.945164584045536,39.07950105264368,37.1503886711833,33.82467983850079,38.31883915793163,36.90843692601994,38.33984354003092,42.16625019763737,43.14506911372649,45.90430605761457,45.66731893438756,50.231985047773065,46.37931322461274,49.650224828160354,49.88472615089458,45.9805805296493,44.73292426730949,40.202045481960525,40.09891153441723,35.67945298609316,36.57104851978676,34.639108603697295,35.44159482152293,37.22473677538365,38.16614109671464,39.81999238788604,37.650064196381315,34.6069683403456,32.456681902744066,32.224519113588734,31.728462445303826,30.720642873761083,35.237411680587286,35.35304119410213,39.373408470404414,42.41950885019362,46.91042327738048,47.205569105351856,51.30388508297376,52.42768897165618,52.5426990167201,49.07587275633005,45.19352226492757,43.57629681562937,41.14074988634312,38.78147575668225,41.05532654366132,41.37181548873815,45.276470674784136,43.56455757350909,42.3189406776465,45.21227310377626,42.85709748080882,40.58368680344095,39.42468239375246,39.80619821094659,36.11672686781327,37.85686223248393,34.59438231444358,38.46798653463766,34.8087397864767,35.26081214527845,38.329672005137496,37.49021114376707,40.22405930657668,40.65583235714544,43.0033743049154,43.764166864770246,45.12124804763041,44.91195869956463,49.07836632657019,50.670973404393344,48.58407198915788,51.83572055132196,53.281692814904254,51.57421100784377,47.73689854468857,48.42132685240551,45.800590404611114,48.86108548314316,49.303109416108505,49.15337504951086,49.191594748005876,46.46633517507153,51.488585409464974,52.46661619705937,53.56469248456629,53.330899302359796,49.93044389084061,54.86781832384603,57.46926432007039,54.73286440643565,56.66177444312513,54.672031659823425,59.62777700072359,58.663559381883,59.887727527317764,60.370828777564405,58.82572446321786,58.0663014947157,55.8941513223283,55.90759568808614,55.83167294250869,51.07134687769029,52.068004556603626,49.14436902518599,47.326320787437744,49.56015395522599,47.477140019289415,44.04176587353895,44.87013058290695,46.57691577472341,42.19308025028361,39.65570539671494,42.97487223018481,43.52880479771296,37.68139758856752,38.286149891026035,40.208538872264434,36.84908300782587,33.908220916230775,37.13336472225325,38.26561805667878,42.41993281850116,44.06744234861322,44.997560941761705,47.26254515647723,52.5140474613947,55.0639933267224,57.53450822617958,58.0356596453295,57.78037675005679,60.416430353796954,58.26093467455652,62.623678586472295,61.49989127013796,55.78423671157791,58.6665622564098,62.165399266797465,58.112963387994384,56.18076274660412,59.62998512497248,59.51856404181171,55.18261598147542,54.95547804576366,51.36339681809959,53.451992369790126,56.1612125335221,54.55648668210659,55.98694338294098,57.361415269675426,54.792625940640306,52.07910901987518,52.404829458475604,51.70292052778734,47.584026895123955,47.12375542804704,47.533486213660574,44.804972607269875,42.81625843540476,46.818383857504905,45.59414988434116,40.82302760033281,43.28008132848889,46.979754277153404,47.29008449814125,50.78247913048397,50.88912715243314,54.77434221554978,52.448924821630904,47.8565020062312,52.211007487016914,53.27727808969046,49.89806807585381,49.68748794587813,55.35012218754789,53.263852501233565,48.78192684630855,52.01132512852366,56.096671411683126,53.4756569983553,49.8529593828664,45.076174325733874,48.148744933679644,43.68929960328585,43.71832628249975,38.951593096721346,39.62673451808179,35.275802246819765,34.802874039694686,37.494456763775716,40.593734557873624,41.78792883386927,43.58562863638705,40.342137119664564,43.68182430251239,39.776915221186634,38.38665429438469,40.0938507882732,41.10043195336018,38.159181592523076,35.79240911798841,36.41832357082047,35.22723449695371,32.287733605822744,30.926092603109083,33.20344661254238,32.62606075861308,33.03928395773981,33.97906294426263,34.809991047686616],[25.312888212362576,27.569420486761768,31.41722353905961,28.28593959751398,33.50203098924156,29.777087620466713,31.353205319670558,33.313126103277455,29.995719590932474,31.60121794014385,31.801776901659874,34.1048961788948,36.490540950309246,33.12685230209002,36.741214358104834,39.623502749107374,39.4880830307523,42.80411338969555,44.806425490475725,48.4739605407484,51.04910109770794,55.508004101348234,55.61133242614271,55.37402476747349,53.30154154662323,48.90122339768963,48.04900906409109,44.1237097232559,44.305033814100845,43.85751551133699,43.948240785461714,44.83374813021146,46.59371105806909,50.292936325352336,49.735365269427646,48.5921298839243,48.86419187478911,50.13820827971352,50.8177481955731,56.912721986252656,54.59285220427826,53.53151738678954,57.93973728038319,58.39794588864183,59.953368179118456,60.27297665688899,63.99659886685988,63.0027282483913,60.453403821549855,64.79103775302019,65.65143056643835,65.66466905981008,66.43049432856586,60.92523615444687,64.11116150179052,67.38643593175225,63.53442079482993,61.50438913158477,66.04154572670474,66.90432961241527,61.67879973492529,61.86386551383181,59.16634214330321,60.020797162122086,58.953353966533896,55.72826690200464,51.19100118530282,48.15314839700551,44.47562162620793,41.3227205868406,40.09840653776686,40.43324330855945,42.98228199487632,47.391393422465,47.63797890595596,53.51339586641079,54.26975150086659,56.54641541408239,57.026882527996285,59.31054461113854,58.07127334815483,58.69799931091686,56.29510268633173,58.40361064587037,55.995929702815985,53.33962198535919,54.17540798695378,54.11503063869337,52.76202754188172,54.159198204652,50.81604829705842,51.79018390856108,48.12311009732261,46.25040153873141,42.19842268542318,40.494064279773774,36.96616510790754,41.17576849938768,39.45253478123451,40.58960483989646,44.47863115327597,44.90388698407897,47.83219821319185,47.0692495693415,51.45586552633155,47.28501348336583,50.2769735768415,50.22384571946812,46.11774324682579,45.2171999808532,40.60300962722044,40.93731131912352,36.73103687148301,37.744694393877914,36.35447109508258,37.05040153761359,39.225106751374774,40.00551513424018,42.21565888063903,40.179320706356584,37.0225879610433,34.69444610105136,33.95328412560989,33.199771520803,31.91743838033906,36.0658952065856,35.7561256836123,39.87568751422397,42.72805870647323,47.43248329427136,47.24994577319266,51.35337071097873,52.66678017572404,53.09542932930843,49.54098163717849,45.88958608446439,43.76804493982394,41.72682103937595,39.562199164096185,42.17015623425077,42.599739232888425,46.75966397940748,45.360788623359824,43.95323647041832,46.98523071334551,44.82063564971177,42.330557282362086,41.18112363093759,41.29219708421333,37.58866821818559,39.02651827609685,36.019956689159585,39.79283865052129,36.18947452007069,37.14398825887804,40.16237057781098,39.404819604117286,41.77364713849581,42.533200095695406,44.35390991621488,45.10245540668323,46.90153873020067,46.38339757315398,50.712236137791116,51.90662407417846,49.56778772656001,52.587583625814425,53.86248122708163,51.890464642078555,48.198378099339095,48.966963465678994,46.6415084263825,49.96658063160458,50.6046347867117,50.706105944037034,50.7600601737836,48.36797644219043,53.33447088298743,54.224041271285,55.090097825859054,54.678857683223995,51.01822006317125,55.764001604995364,58.29438489048899,55.62795456173887,57.961857914475374,56.238521297740256,61.116841967136004,60.02113467007505,60.989757199750706,61.239683083160536,59.633001760580285,58.553494504867516,56.207966564750315,56.02364670278557,55.6357440557214,50.8257199263886,51.68188102503518,48.49535926189523,46.946245363934345,48.808094032487006,46.956013835622244,43.59349187991869,43.91825540390501,45.55532946586327,41.35943209024773,38.503937552063455,41.56885321423404,42.30815991277949,36.4406337628504,36.65351067386446,38.461205417479825,35.39903403304962,32.18646374983541,34.96602024999437,36.14932735760871,40.189983302695516,41.75010186581606,43.00997209404901,45.19191267161368,50.45014489360709,52.756519707842656,55.430054631955414,56.27617775475273,56.26315313810408,59.10909332015049,57.275316181439834,61.567060150239236,60.13922966382254,54.602747063496665,57.74017434624321,61.000631044100075,56.811171139552776,55.159542185832265,58.768982178432395,58.2715636577531,53.89221540352108,54.17510865391039,50.43686941301932,52.98847048313856,55.58380279168718,53.84241336910467,55.55040989742907,56.837639618887,54.61852500143164,51.71188709307004,51.74272393046194,51.356598740508076,47.3200792334725,46.419129127253846,46.823588270331314,44.22014651463534,41.95647676544535,45.691696239050714,44.53328277222127,39.72943548714444,41.81182776541275,45.41880509617915,45.69339708692386,49.36100840571993,49.75169624421476,53.46475147854818,50.79938437738302,46.38820485632804,50.8901639260965,51.59630761537641,48.13571129648978,48.2426728202669,53.72509772727813,51.278131084332905,46.9880824838241,50.48362718084953,54.265302601500075,51.38286919279455,47.87437616919973,43.135657363183746,45.880270321537274,41.360639884652876,41.261825481905255,36.776594251155835,37.80613484809885,33.67929014975276,32.940579323078424,35.86441697785033,38.85005750315503,40.40020962844666,42.30645007668996,39.583148744295066,43.19041766870261,39.630646717437905,37.940610840304146,40.0121694877817,40.83510635133561,38.37746059021853,35.70406374967081,35.86374017283428,35.00609819034394,32.47778689838133,30.395586143693897,32.341055016761004,31.864901001838295,32.36098736019716,33.37903217106508,34.17694402339603],[21.186016658739728,23.699235792679524,27.797515412719072,25.20216819746943,30.499767984222512,26.49833236024953,28.454843753910694,30.22990328569172,27.28933814787888,29.48463147529865,29.852402257524698,31.77826237148798,34.47314995469422,31.587840875548927,35.28182507765386,37.95089575963774,38.04002899591396,41.681932971142125,44.12349343886875,47.47790628291309,50.371248952526486,54.70276409883221,55.1043156817107,54.93200983649532,52.554556644901275,48.203922817635096,46.96068796095038,42.896668221866626,42.87226225956854,42.0560614629631,42.58249256737108,42.87999386023299,44.72730368704671,48.698776294713454,48.01032897466395,47.08729140029545,46.93125717502156,48.567904981196286,49.22092490474677,55.168049066150196,53.225343281800754,52.38082769790742,56.731996901895215,57.28512984511587,59.12789687271356,59.494374511312024,63.22552518082069,61.95569787887166,59.28737364005323,63.508757894120784,64.23111344410135,64.04677573354101,64.81319946322277,59.32003157054295,62.35351921276674,65.90405380823772,62.26493003247988,60.08709004839213,64.67506042012941,65.80945250743432,60.697665598029644,60.977989697269656,58.19920837674397,59.442887263764476,58.2739701024291,54.79346560761172,50.629994923695236,47.35172119142071,44.04213803096015,40.72335223627033,39.8111603741799,40.530607892594176,42.69829776725519,47.159305424267025,46.925173334240554,52.8436215341436,53.30931881945403,55.41932071302027,55.701941285538425,57.91158066683822,56.307840221663355,56.83060286702856,54.08258259248969,56.157156653133676,53.93037705885922,51.34765260790046,52.54526543306011,52.24862650180741,51.364217216258645,52.670502086030126,49.61575743193133,50.86390473774657,47.07840833441698,44.904508025045345,40.73574433020039,39.17408001068865,35.54305253513794,39.23847844942903,37.17909989082869,37.816861950312756,41.97647112983499,41.906061855982145,45.17172529014088,44.04041566662233,48.478184224101,44.22582766577968,46.97481199415903,46.97347572359242,42.7828725329239,41.868887402893264,37.32984171423326,38.082739746701726,33.996983336431086,35.446913427071955,34.47617199412615,35.49486947955733,37.951982202096836,39.055228173554525,41.669416225863564,39.30344050470903,36.264424661494935,33.599193743738226,32.86629346443191,31.63357051451769,29.845595250114084,33.848084359099204,32.84805414606815,37.12707228271966,39.786097984478275,44.4854017063475,44.332279045367045,48.269486910794534,49.88771062886027,50.20856051326362,46.95165823953889,43.409345015162174,41.32917764218788,39.63532527908864,37.83587384195818,40.493085805451535,41.51331666011414,45.822200326062436,44.33101314930025,42.59073276345248,45.52659756482014,43.183230608659315,40.593249435882306,39.09596010598378,38.82835760417002,34.95061345672971,35.93729782197909,32.89217646607902,36.3859739528469,32.6585397692587,34.03700475112579,37.13549514637651,36.6650038043666,38.802940910824574,39.99868375781972,41.584320659310734,42.739235704225756,44.855854241604284,44.56909899353358,48.830519984622015,50.06085596501079,47.92582947982244,50.65220848963792,52.13997970502985,49.92640846004426,46.319129319075394,46.851390088546495,44.6137501855527,47.80947580629718,48.32247705641609,48.382084184439876,48.179111269739344,45.991688919832214,50.74573975674142,51.85484014698324,52.49613421978778,52.32673176238613,48.33503542208562,53.11044976321136,55.75248554456983,53.261243118301365,55.87779330460499,54.41966479168131,59.343649963031055,58.4343616492874,59.13886326249246,59.31386896486287,57.46627007283158,56.268611846184584,53.76538404811596,53.382868910722735,52.86270632321307,48.04599399722097,48.60893192996668,45.2750408628009,43.56591597058437,45.185806073055964,43.18780609893719,39.987427040737586,40.29824797084261,41.6656933575853,37.438412914451284,34.86693318946036,37.70469397535502,38.14230121084259,32.39958901315947,32.6745780038647,34.279561572135805,31.105256213665353,28.08843031757879,30.900306154300335,32.298115594600006,36.08676914911032,38.13452605185868,39.194357563697196,41.18782518932941,46.511004549095055,48.73610854670942,51.4581245526467,52.17048100559627,52.24596594359646,55.07856734237713,53.29792302335667,57.68268591366723,56.28296324883068,50.840358807466615,54.02648694999911,57.39132593851868,53.28897983325414,51.69582251358041,55.41149348369787,55.0395839749261,50.67041533657217,51.10328147026673,47.089505734677005,49.571365779412105,51.98816305193577,50.0105115657011,51.66329960803532,52.74994856206345,50.649081963955304,47.83460804694463,47.61416553248692,47.19183854602235,43.27862068842668,42.290613490182054,42.50777188100443,39.88759214045724,37.68358625236978,41.31373910229233,40.051142242831084,35.26161630156694,37.40668164463202,40.97679502011945,41.377773415401926,45.062150757156665,45.56189951155343,49.30899142216262,46.61933750683081,42.33966543264833,46.929159962595286,47.668747842569644,44.25407393131445,44.546903421806114,50.019763677917766,47.66103714042838,43.497579750697085,47.094416500385925,50.852427751525056,48.0812273881931,44.665411058347594,39.953909892610845,42.91165085283992,38.5055967177716,38.02447394490325,33.57322372415732,34.30588253271325,30.082706192876344,29.783044489301393,32.7806760169439,35.96374610832134,37.48110052794885,39.03206826988216,36.371451421017824,39.94662455729257,36.546535537721255,34.372644817949315,36.32242438195748,36.889176746695384,34.5283784180696,31.965875823102824,31.79283160935341,30.847901222636125,28.705967110682437,26.482789558766505,28.09073487186656,27.457867014220263,27.91978773365908,28.969509426719487,29.753334102640775],[22.289570841694474,24.536311479071745,28.09613100271117,25.181955845388256,29.910696545494194,25.375065777069338,26.692626989107424,28.103782272501366,24.625229726905822,26.49051664703472,26.39511634932259,28.351434159471758,31.222845601061433,28.138320757134974,31.48133625792082,34.3145976748555,34.654719399758214,38.07212397290502,40.59850626796844,44.020405486020614,46.8637058891661,51.27268897965016,51.6901852908288,51.74246278812689,49.43387820309276,45.02914784355708,43.910260721696815,39.807636509230086,39.537970613856196,38.693842819585385,38.67940091413922,39.267526764715726,40.86207824336893,44.72748866980877,44.2936171886232,43.46332251841666,43.57781826009565,45.35153841193034,46.26047314734238,52.333349555767796,50.436575185778835,49.21513053576063,53.535893490527705,54.32035424392517,56.16068606482802,56.774575895848336,60.42917570808,59.056276340491486,56.69225661141189,61.01283911841588,61.49728723756532,61.3609261543888,61.92225534741776,56.446997445390465,59.26230214198808,62.722533096485485,59.07024326752443,56.70423026151755,61.20073120951919,62.432407966014644,57.21248971032356,57.218559530334566,54.32342354758643,55.52786776411398,54.58756689392073,51.1309214597885,46.84251415881862,43.50824545513077,40.199703769453684,36.732607857220295,35.87595427800769,36.41137411276387,38.49471486432472,43.054103513233265,42.82494893234618,48.628159542033714,49.3510039229463,51.35433647984749,51.86159293201467,54.268618939627544,52.84377923089625,53.66082135235355,51.02016082740079,53.37378234180655,51.208669433328,48.33695306369546,49.25695507429007,48.81595628572278,47.71075866382733,48.76567596986132,45.585083603135566,46.59753642273168,42.817508238646106,40.709991026192526,36.67993107682498,34.91218908154003,31.431336895721152,35.377648438717394,33.58459013814125,34.504498132403775,38.63892007912171,39.12127638563929,42.24305054804035,41.64923118590439,46.30372319992466,42.38241879914584,45.44202971529528,45.76811510263905,41.79468100756011,40.478440675235696,36.019486779148174,36.300251157237014,31.955845703519728,33.32254070186073,31.792738588685392,32.983360003676715,35.07208673479743,36.40700959523279,38.51036772838516,35.93467765246847,33.01992720113147,30.464561335974807,30.280492776047524,29.2447937766212,27.679504823200254,32.11506607625538,31.53507490852639,35.73360648991394,38.612280671361944,43.08305077266604,43.4781493308222,47.40859611329533,48.83508492608522,48.79401593841107,45.650155143100946,41.84472001484161,40.334870972492,38.22077370039902,36.2365948076518,38.53827232863333,39.51894195011517,43.58899260725026,41.73880543310844,40.116836823442,42.90019426232181,40.31609589062311,37.9336325111878,36.372542961397414,36.35817481876645,32.45087671848895,33.74970794991722,30.39178685071296,34.022027409781,30.21642115423934,31.063832667086537,34.23834790693012,33.68689133686856,36.22264156526212,37.10193234286961,39.2534343115516,40.46458836493413,42.14243645390113,42.21969796451156,46.31147064823811,47.98313837519185,46.14630561221307,49.10076225223345,50.80666311933258,48.85717957307476,45.08860722560757,45.50217592312512,42.93683497093245,45.833937408645234,46.120075041147054,45.90072037334814,45.65616873098881,43.11770191493295,47.934962629728666,49.160896666975724,50.03548063255668,50.079341384578754,46.33162796866958,51.33738455310565,54.07400045885619,51.515546611164865,53.72231539890935,52.00005431768997,57.02600500643553,56.282934900914874,57.23675837551663,57.659621804978,55.852902843471234,54.993292891360525,52.66378748633323,52.48786356233209,52.312537579919955,47.54237015788317,48.250497973949955,45.21099852758763,43.17823697811658,45.23047568864416,42.95710840790433,39.667612703109896,40.577350363025516,42.02845448059026,37.574620199820735,35.386670357966956,38.534589683531706,38.75637085216473,33.037121499079916,33.79727152220103,35.55446839656014,32.02505507126028,29.346076192033337,32.713227763577564,34.02588167273578,37.96074589812751,40.08691456960281,40.73748126953316,42.837674506542285,48.13766407354436,50.66551197639606,53.125411795980064,53.42510421814772,53.20286916652996,55.78403430719788,53.62184247560384,58.089369506520065,57.04841922009794,51.393556737949396,54.28044534186636,57.92752997858485,53.98678532873442,52.064236279771436,55.59633894148524,55.680578876843015,51.364116024475685,51.20518146219138,47.34854413225624,49.28860278731386,51.83587587351608,50.01316527435858,51.34439590537768,52.53782542247977,50.027831718311546,47.42951957324763,47.55936091970135,46.77205415823183,42.75083945055408,42.282474347447454,42.52009376369132,39.75289853592532,37.867728861177696,41.831114670546995,40.507080541299594,35.755520796401505,38.34966332328818,42.03543146623914,42.46243010181272,45.925466195476304,46.0736824714902,50.02407536045966,47.74944553304208,43.24684928859228,47.65140020899854,48.82465834000986,45.512084378301736,45.41673311383009,51.10264346393063,49.183463602591594,44.79195643376701,48.065973151711894,52.18503042313299,49.73489991813111,46.185919252341044,41.435828446394076,44.79533682365646,40.47194352812984,40.14582777177194,35.35749956897401,35.648569526446764,31.156660029449363,31.18804810735777,33.89408115527379,37.21780101345941,38.30304433330831,39.71120087290963,36.42913169349955,39.689182164140604,35.88253530574649,34.043071340889156,35.55900364626661,36.345871792387996,33.40751839181361,31.19832116861634,31.592113714467636,30.245042905050486,27.584434023440103,26.2296085868356,28.273039516156473,27.531850745950237,27.904809617056344,28.86624085919639,29.71952959473237],[24.027663406559864,26.566840689750986,30.187780396385342,27.845225764902608,32.267734005477415,27.09560744252686,28.3222235740971,29.010516169775855,25.497462397904222,27.66514095723247,27.052126660631057,28.416493836275485,32.02633089803379,29.24606643368219,31.987986652845475,34.82563927236327,35.814049505212324,39.13020745269638,42.07170279438855,45.331142262698116,48.296890604510075,52.690037610242804,53.311809905786426,53.67777424893949,51.295496537963075,46.89440076535631,45.67841062655986,41.47391198345627,40.711796641340776,39.45632842214349,38.965409237111295,39.36953052603072,40.497923804205556,44.486199794936574,44.445217392363865,44.062519513002144,44.13588967735429,46.49482354643475,47.70594638096964,53.744488116358866,52.23182265488485,50.74793712027377,54.95378768381674,56.080359156727184,58.094761538458314,58.991231651179135,62.5464539712739,60.902138546444576,58.789112679725704,63.10300210047982,63.24047745411913,62.9930160695092,63.31912879788666,57.908356664252224,60.28492257290238,63.86803575984345,60.40132555122897,57.66283156030115,62.04062456565428,63.635409832033986,58.38490565581135,58.043708133120084,54.9007709071792,56.32843789184551,55.69734643093862,52.11910576107028,47.93663989859276,44.376402932473674,41.35836142205111,37.5768073210258,37.023330559002986,37.41025692208342,39.10918465611962,43.84008363078329,43.29456527357229,48.825171292243645,49.8202601752639,51.42296073134958,52.17778355223373,54.846471996704544,53.3364658162072,54.494772447870055,51.615441732274654,54.30783871937306,52.4435537282871,49.29879275684625,50.20238064514479,49.27125940482429,48.327733819158844,48.78475768507513,45.70287554800058,46.44487714470326,42.58342775640477,40.28275388606477,36.519978201514995,34.403109561455764,31.27321034043065,34.97216701305339,33.25179503751993,33.692691063604634,38.38384147123812,38.976741858427374,42.46108733361445,42.08879328028177,47.07633920862213,43.459412488955614,46.44864831873927,47.16056232209102,43.28883515231756,41.604547968249506,37.38993420507336,37.79376319524641,33.40575960944964,35.17083454099697,33.49786086435901,35.130049224841486,37.01476258162544,38.78569678642175,40.550615202554454,37.55637394466583,34.92232038327102,32.32442708536259,32.7340123077711,31.571782575880945,29.820432602332975,34.413891504383244,33.45865705247091,37.7134436494109,40.50666833651941,44.73528923120997,45.5845312058654,49.28234345621574,50.91045227280874,50.46096072037634,47.76666919090116,43.898101004307115,42.860192357629145,40.78684767350497,38.980008205839006,41.017377352637375,42.34825164966168,46.26827407850441,44.0573310927612,42.34448079423729,44.872090723016406,41.90152540874165,39.697843737570345,37.74245125625511,37.5940619954176,33.48037928353802,34.465651013053225,30.6081104594159,33.752701529941206,29.339640129382186,30.23577511458807,33.83607214518619,33.77772736853547,36.53702204833589,37.64217196639191,40.21369310030099,41.98887139261521,43.49213115719106,44.188263184227125,48.00289699211239,50.11603881808707,48.71004158104778,51.586858859103025,53.59979370193188,51.65863991114341,47.88209893115109,48.02151336471351,45.30749847018745,47.8055146201383,47.74871200886482,47.18056972619157,46.56708403718597,43.84878686291875,48.407082312376076,50.09348997623713,50.971231179734936,51.55202206032223,47.70893256457365,52.93861918963006,55.86627360466287,53.4481332290821,55.53876769572673,53.80624069760811,58.93558876030528,58.51305545041169,59.467476782843896,60.02935649740579,58.06192688743994,57.355537525122806,55.01695663278203,54.78962049459873,54.697478811301636,49.97923804401899,50.450986826815495,47.42471863379013,45.025704444042525,46.97275988898804,44.327516665699726,41.27314046709322,42.48679995524109,43.54219084598526,38.96508196349376,37.44037246116294,40.32086629421895,39.89556469616814,34.51778293465025,35.54088453503942,36.91311521954797,33.08560281491751,30.98076394213083,34.39385271478162,36.064932433587444,39.48250340318071,42.39697472259421,42.73151442299099,44.496916852684926,49.85790555713691,52.202418947535904,54.74400808636211,54.748446563532404,54.62846888017209,57.081137800553506,54.86372621951108,59.50357362599486,58.66411518587464,53.11630896722974,55.92385389088272,59.82408219921706,56.087098688323856,54.127416097034725,57.68910891386954,58.10569150886713,53.84681832891513,53.62141637356179,49.54748127949606,51.100052847439166,53.45368833807501,51.361687415360905,52.37181071171509,53.2215129644205,50.65134911934615,48.44185439618547,48.302156575262124,47.13060702578529,43.35678731251109,43.11172475389882,42.87470895058468,39.95543967782994,38.52349121822952,42.351301721540835,40.644088779478935,36.01884525121356,39.01418248231103,42.568211290154686,43.3729191478301,46.776000066489686,47.035718626894706,51.11672847429775,48.937865653250874,44.68435463448043,49.14323727843425,50.493421456885656,47.30833360641189,47.40011790685155,53.08503038092167,51.384713067485386,47.16260459136712,50.460397594132765,54.60119536848941,52.3428713776615,48.90957152356316,44.226385752706356,47.806963667493676,43.62604149273599,42.91580137490101,38.21743556403307,38.1142559878048,33.504042166198566,34.110292133818525,36.80489780016559,40.3074954792561,41.25090634685565,42.23012843580114,38.80684600642879,41.82516886272137,38.0080120882281,35.774881492806735,36.74534858418423,37.215422373466296,33.953853785684096,32.36863004196191,32.54580591791039,30.621743034572855,28.39423013601165,27.56734423301843,29.12484786568483,27.75987924564011,27.837279239502468,28.623914898792048,29.25998798258708],[27.82402910245936,29.92146116030336,33.03812478754918,29.933268485193505,34.02773799204485,29.086640148350533,29.618949624469316,30.466381844998647,26.36900966700968,27.608698522209703,26.66598790832714,28.56103167078102,31.70802222950311,28.290844102085185,30.8015672172858,33.93040207810152,34.69605208084226,37.52601334282539,39.98284732094092,43.60195862985719,46.18423631221825,50.73019437988838,51.036932847741724,51.42416726257618,49.400042065299715,44.94066932442609,44.204358828510465,40.16290169702901,39.556661677949236,38.755220097654025,37.584389973538464,38.82198775375356,39.80110442777116,43.37550775469741,43.538235701253974,42.891652384690964,43.575653856598706,45.509692802340815,46.83101443141808,53.058641003341364,51.1415768584232,49.27583695448648,53.520620723107996,54.62570125007324,56.320416532405545,57.26981019444021,60.773052254369674,59.38425918179516,57.53405072385414,61.997536446162826,62.18642034226113,62.18362728812912,62.43419990080713,57.03179438607947,59.50621800958233,62.72665629553849,59.02098760260562,56.399222170444155,60.67992396520071,61.99279107497366,56.587727633628376,56.053667307659246,52.98098867890131,53.949698128520964,53.50276978752212,50.22716159311591,45.59649144945322,42.29998193823675,38.87698759561176,35.24553503782559,34.360415479302134,34.257164809239676,36.34744095599391,41.042518519704714,41.0464327287166,46.49147877897163,47.88333799490554,49.66633615596139,50.702897310662,53.49936753430139,52.490005510293194,53.847056514001515,51.44778078759189,54.247432970800176,52.185320773072434,48.875201861942024,49.248258598753765,48.57931307992121,46.99785058812579,47.520017643689286,44.05875434153191,44.42508532984741,40.72601415978978,38.84273652177529,35.26396965028668,32.959081353010866,29.997618620845408,34.42550079626403,33.24101019314768,34.51328549647993,38.67899502479814,40.080676338714305,42.99581370790973,43.25829438225256,48.18455680821154,44.793548673645404,48.187512835530065,48.9292104419417,45.26068877500409,43.47903599357555,39.21620699467236,38.91922535388614,34.34116065262858,35.51497824929371,33.161510835771196,34.47043700596596,35.87190798710961,37.37796577558354,38.47548540293944,35.7681732932155,33.07725419722505,30.92505644495258,31.559136073949293,31.015202695585085,29.947248964558533,34.81645983750326,34.84195363584517,38.83769824361717,41.92711359932211,46.05613030827082,47.068678859626104,50.95165227392299,52.127859393949116,51.67236352013929,48.67419667150828,44.59645291734642,43.745712075210044,41.12200205942148,38.85459334694442,40.67115859100676,41.35428027310272,44.98337005496133,42.72074053673978,41.42693368546387,43.98094465415192,41.140796781988605,39.14622330219866,37.599803534631846,38.008875404604154,34.16194580857654,35.841671398492956,32.05453762870496,35.641485490787666,31.597046866878976,31.694662587503732,35.056981194224406,34.51790517529986,37.64313831253352,38.04415919675375,41.04657112404577,42.302552280172925,43.26031568198226,43.81099266663083,47.617066563089004,49.85336669842524,48.35436365908084,51.63739112696969,53.51044833992006,51.95554186885603,48.03019229691003,48.372534204918466,45.43537562171417,47.94680551631683,47.95211268909226,47.343443591450175,47.04961791638255,43.987488846491,48.81866176798289,50.233195226785284,51.46320128365356,51.805951888103195,48.474854419036895,53.72050637967499,56.53633380275348,53.89400685326396,55.488955384600175,53.35746685789237,58.4575301689848,57.901541618567705,59.2452399878095,59.99380166723647,58.31503783247616,57.88803095959702,55.809355734994,55.89657858634987,56.10391592272233,51.42950534052907,52.3068283358622,49.59028853860667,47.26662927380653,49.69317770357326,47.15015032609077,43.849328180782194,45.30585074925078,46.760909035292194,42.15150619044454,40.382053205615534,43.69421188140673,43.63051861445373,38.06659929896723,39.18999440029466,40.94010610296009,37.14578553436052,34.84161592257843,38.481325613536235,39.81179305219516,43.6942689079503,45.98654318387884,46.37168919064881,48.46344033808562,53.737744584938085,56.38266309296957,58.708380867398645,58.686400302483946,58.287390263633405,60.64378329426668,58.18132110980231,62.72202561361278,62.006482271530075,56.23273819734793,58.841106161355086,62.729549204000236,58.9575527998751,56.77236537790298,60.11594856359656,60.5938353110019,56.348886679419046,55.67191737010516,52.00252527532763,53.411349306306626,56.04566754764833,54.34411291160122,55.31335537751263,56.512464115416684,53.628073152929296,51.349971118154166,51.72597263171945,50.51210438099848,46.5085904372644,46.56140825918102,46.66620434582128,43.7539660315831,42.295616628534866,46.421901386035906,44.918404536570655,40.28619363474851,43.30115293472358,46.98435495434875,47.55757210934427,50.83656276350977,50.76608723643403,54.87488841493293,52.92423645257411,48.35975053343328,52.61140421885834,54.11687947894932,50.911692848450016,50.57091479583021,56.374495696589804,54.780592528263,50.27504666989881,53.296344715295625,57.65103338035694,55.42458764390541,51.80529901715955,47.05816416863944,50.6190345934314,46.34579814628733,46.14164105637683,41.204946998288015,41.238707069324484,36.61808562202466,36.8489543990664,39.333910232739726,42.69148781325619,43.4687763775107,44.7885892926778,41.03110078401846,43.95495392135589,39.803981843405545,38.31580874499256,39.32222201513456,40.24156680004589,36.718992531789915,35.04035194305196,35.88407057677851,34.05430925576451,31.092735006069162,30.676431363573695,32.89282286593487,31.861865544672508,32.031065679741644,32.79416922175195,33.532693457361766],[27.31618204181616,29.62311271433526,32.69780103358091,30.35301565046391,34.02913495353696,28.380957765759725,28.90537759961092,28.897747750301296,24.982723196279778,26.79975294562557,25.43073513352535,26.463793550162283,30.501684782631973,27.745031768416297,29.655905591442234,32.60843381439533,34.16375843402862,37.077630082174544,40.22306959784809,43.429143835737825,46.33066064018226,50.739112030279145,51.45008026096655,52.181086974927425,49.88835001267696,45.5027340281648,44.41392441956739,40.218840388469154,38.99437946451131,37.55732275585008,36.204854577746815,36.86845921719112,37.434023630484354,41.28526141424004,41.74459808834199,41.68503035912895,42.05591769548819,44.78059384539234,46.37702668022386,52.44452577826391,51.14989809560148,49.17408675075609,53.24286549699473,54.74004501485031,56.78570881980522,58.0400413667625,61.432268497985206,59.601997663087616,57.93466706926573,62.299481674485435,62.05767700510302,61.823689720939186,61.83954066584755,56.530509263401555,58.46856400063589,61.965628965221164,58.59119900248308,55.522948326000765,59.70429670079793,61.53923043512858,56.20559155219243,55.40784021565318,52.05705168586443,53.51207480215993,53.287702304488676,49.73525457429036,45.506075421394634,41.84530638149089,39.0104054891332,34.99602135357075,34.6569471998599,34.722913127107624,36.10760163878874,40.95085447349773,40.28538891228003,45.46236489237151,46.889934436545744,48.162815279641386,49.293958634449986,52.27954989529141,50.95960476413337,52.582587473348376,49.76063118453267,52.865880204612694,51.21496936115522,47.69102989634197,48.26161316409065,46.96834967826141,45.8515652440919,45.73064512031437,42.58207495378304,42.88559076740915,39.04522898092497,36.76940847920082,33.39739485191825,30.867648535028458,28.215079035756265,32.008132805965964,30.708605066229413,31.233724296449765,36.05933615898796,37.33239116043367,40.74367223121703,41.068407162602384,46.32606488624893,43.24683198609021,46.462468877736455,47.63178044026848,44.08296557870798,41.90725958704314,37.9722749509304,37.945834672311825,33.4216627940597,35.196430398039645,32.94326630585289,34.87208111588698,36.22254831496023,38.352112562704626,39.38101673780366,36.06789817993259,33.773233669536424,31.382372843555817,32.60026636303204,31.64464873786264,30.127313741121874,35.0217593758951,34.36626770351823,38.43164777195834,41.33158518879426,45.15754936469274,46.677534067687176,50.22329695575667,51.713666258608185,50.772833980696966,48.39696257173787,44.32501822708417,44.01673459720841,41.60635000268424,39.72852542024531,41.27729515606579,42.653116197342186,46.192133183203474,43.52831744508483,41.94829187730354,44.16306298822271,40.849747803528764,38.99685307788263,36.867594890139195,36.93981419840733,32.83967864070682,33.98859888578899,29.714117665159787,32.668019966148734,28.037197701353897,28.292517173733074,32.078918143523744,32.169742587509006,35.396072318585375,36.22048661373767,39.52234670961094,41.54227306662115,42.476692156770355,43.785227489598704,47.24084860055145,49.93491929071786,49.006466005546685,52.0345051944497,54.33317974768996,52.6784466348022,48.80758594801767,48.73951424982404,45.70544703095894,47.71308463092305,47.29801838517738,46.31186928577485,45.51472576157965,42.39162966893034,46.82402716266406,48.806991938379845,49.921928161548735,50.93179531476085,47.36783534412166,52.831473243918715,55.88374198556616,53.48345065491147,55.0865421716069,53.099131970982874,58.30430547894209,58.1864015960324,59.38024529785094,60.2315800419807,58.27303092107601,57.9565451164186,55.81054563832687,55.76537372988965,56.02552813891356,51.43342429911908,51.95443191557195,49.24667225122611,46.472941029031546,48.74353416135182,45.76633715746763,42.77499269162835,44.60148821057269,45.58018913777887,40.85591386182015,39.91493275671625,42.91242755805023,42.10113685854439,36.98402264268022,38.464184495995966,39.812154644219945,35.693846140383734,34.09939746659404,37.87124089807069,39.54286792393039,42.86393452552545,46.02349653875527,45.93566098278317,47.6621987738547,52.95422227921742,55.46698598249174,57.79091213144613,57.34545764253418,57.00033656963306,59.16012772732934,56.60419126064311,61.32710288566885,60.88718047079516,55.24860675837774,57.72665930965174,61.92394470208676,58.43642096545227,56.194817360644386,59.56132931656705,60.48774856986977,56.336985444942144,55.570800025186585,51.620456999292415,52.5316577125654,54.90636439234147,52.89165375947826,53.473439348116536,54.28543514267906,51.339265665236574,49.516559253258784,49.60918470156321,47.96959389586892,44.25815895783441,44.58634175994125,44.199994189804514,41.15172696712114,40.21297654996632,44.20744090805936,42.34409548814423,37.91119342839708,41.36446635641229,44.90219290961635,45.84219058930433,48.976336184103566,48.95784334796408,53.20539014914541,51.45302954760174,47.152353888111335,51.40002377958449,53.16700544419064,50.15046698140029,49.96931558220582,55.76524884411885,54.522308957632475,50.211238480824846,53.20325936201807,57.61112932133378,55.69941795864968,52.22609471725596,47.586920066203334,51.505538361554265,47.471408415766454,46.789260175555434,41.92147212002267,41.37052665283159,36.61354508229114,37.616565408115655,40.026466331261666,43.62548275570686,44.165122083795474,44.88301910361717,40.95484342271085,43.550909393859015,39.45238076695118,37.44800730769516,37.80052612546746,38.34695702204699,34.51326427391617,33.556595371923244,34.16633574232184,31.73200241840138,29.277579749017946,29.475867651884275,31.18032713075368,29.56026989424498,29.441834365356492,30.028134074804225,30.589937181081467],[33.014419093819136,35.05350048303842,37.745147528402086,34.92162768308797,38.20967297764471,32.681433570597186,32.53959490967926,32.427825635194075,28.05456180622642,28.97846911109029,27.057423110943642,28.322076675947272,32.08488025386314,28.878327710649117,30.106792310329407,33.308089962377515,34.93226529562507,37.15294541608079,39.90572663761124,43.37840819425991,45.85494142437822,50.3727908855106,50.8228181930015,51.745543870940494,49.85569607046653,45.46929043289161,44.8923922426095,40.902698859298944,39.61331949802143,38.498594677437616,36.09289694340498,37.621392404444286,37.70570185330257,41.055508894735546,42.00116999595337,41.90201840735583,42.95413209482148,45.47273840414418,47.330579133167234,53.514088349636204,51.9819879653555,49.4584726463418,53.45868122780778,55.10271470116875,56.85653970643278,58.30874359886769,61.55985330615278,59.892023985553756,58.66706482520984,63.156691231658215,62.79686889115762,62.78053491111557,62.58702304024994,57.369598719714006,59.16246004751006,62.28058814768222,58.76511932676209,55.65137721247227,59.610323034132904,61.31069091264177,55.82654907314324,54.599589247660994,51.2151002591273,52.23736302036593,52.43128945853453,49.20814385468764,44.56640249996405,41.14334564207692,38.05975297965821,34.120276449280375,33.58629594318556,32.94288789345213,34.5126246920438,39.3297302587618,39.14420314231412,43.94414901874875,46.02452590076957,47.23978415959104,48.85877369036933,52.121990511956994,51.355525662158726,53.38351380658695,51.010903526446725,54.380127373810545,52.68402326096491,48.87791611108191,48.82760095130219,47.57544110133078,45.822135297190044,45.40925755015858,41.91168812842686,41.5582470094865,37.933545314749715,36.09522853186781,33.21885664725277,30.283574522173474,28.182380767561572,32.57687604121692,32.00218400471458,33.192364786901216,37.601785612415725,39.810736326240914,42.71544800400701,43.834590501379,49.10795641543928,46.44186241540972,49.99791576935558,51.343124924754996,48.06645812614004,45.68119359844956,41.846620445839314,41.18283546602208,36.53820003186719,37.84076159949246,34.8745053655283,36.6127516550394,37.317992172607795,39.32312076650363,39.41728843252952,36.278189269509866,34.13334216459328,32.28714508750702,33.99163532099998,33.64854191691985,32.78513703718689,37.90060263749458,38.06908739210533,41.843488840142996,44.961800759981344,48.55247614001279,50.38963213680182,53.99921437327206,55.10927073863943,54.005786190344054,51.52821497184577,47.265524379500654,47.32428745733533,44.415214843784696,42.16944228819442,43.364665310043925,44.19059587763892,47.30400645177787,44.454046244814705,43.31174694181184,45.39802727704835,42.09268898240999,40.58988520549885,38.75737907949149,39.358261769628825,35.535623289652115,37.23358103900615,32.92661708270895,36.03254859181701,31.639378549116614,31.059948928293487,34.68465004186267,34.50132343366024,38.1483250298144,38.30703134809689,42.205223283465315,43.90152909760036,44.15400635427618,45.57951595168899,48.84723850460857,51.847830949196364,51.021169736819694,54.40970055998806,56.66935199073063,55.42528927940957,51.43457786507299,51.46705468815057,48.17850816150354,50.00688573121783,49.506902767705505,48.325466922577235,47.705087564104275,44.16447503495561,48.69595237854291,50.58980436329034,52.076610959580755,53.07869928459191,50.05390021723959,55.57474931705377,58.567572884223985,56.01606156198726,57.02573607737215,54.621970210282214,59.7967338094008,59.68465001365486,61.289262836830844,62.396837951377314,60.68533723647719,60.72660926099231,58.858039326905825,59.10952613032528,59.695019522861706,55.19217485257254,56.01589498156459,53.61929465039303,50.81348883759152,53.473860468120826,50.48639018411266,47.37326218607302,49.49452325318562,50.6982596509405,45.940149077963454,44.97558496670266,48.2470247869125,47.563923536785396,42.41369615394522,44.020079762714126,45.56398010600325,41.42287884746775,39.8010195116958,43.722786413028025,45.21656487423853,48.76953363115253,51.62167597599256,51.51723980210798,53.41598862957964,58.648509821284264,61.33664108844582,63.51832787274217,62.970117879226756,62.42137978455107,64.44899561228361,61.665210540602516,66.33941464270437,66.08061978269426,60.296925213440794,62.558328391520924,66.81498673714134,63.37285373102227,60.92402807163087,64.08612120091426,65.17434399719538,61.06637388028253,59.869969877044724,56.240174131746535,56.88435846242798,59.44088583573383,57.70437714035104,58.1263209234887,59.128895896647904,55.88252877682325,54.15981051562192,54.63007402301651,52.81843872586611,49.02161080469082,49.69477596594342,49.44826014606461,46.38105837956366,45.57782856818692,49.7480331618305,47.94130668752478,43.57693040916575,47.13630468530193,50.718442136627154,51.58243970041977,54.58652121254545,54.32595712240485,58.62002234154337,57.09426038551816,52.62519061949536,56.697948464032294,58.64133051100451,55.65001067353951,55.16115200907032,61.039702062363936,59.944317248200704,55.45128189588581,58.21003798222818,62.7940135198743,60.957414566051014,57.362368369892046,52.69176996183638,56.62478885369335,52.54298102711895,52.18693037762956,47.16069798626576,46.65641630627981,41.88315630971711,42.68605776429538,44.92855105729572,48.43343388119003,48.80832612189743,49.712237324323574,45.482322939256,47.90508319907699,43.53563177765063,42.09940991123031,42.31411194864103,43.15382234368275,39.02864076141077,38.20502599827553,39.315514745520055,36.82847830088985,33.918781576747726,34.59742358551967,36.686043516387876,35.18600562601807,35.05735356522743,35.5580585995303,36.11328841669624],[31.78107529484826,33.70163222123957,36.069311717272925,33.59591428759162,36.377768777856645,30.52107946435824,30.16195367446315,29.498065776137413,25.214708002526095,26.31829733473604,24.09888901525901,24.84027848111761,29.050379837616994,26.295597044479365,27.096900215392875,30.147215205560336,32.255458792271256,34.5224921184065,37.74076399918887,40.88546443156218,43.59484752353223,47.983420390256214,48.73266248180994,49.87134775218301,47.76875002056168,43.46188028883185,42.621046031464026,38.55625345469551,36.869388282981674,35.36569097800218,32.896326541079276,34.053412294956,33.92644330326172,37.44136241356323,38.50920194437934,38.750869086424835,39.59790449888517,42.577597571987965,44.597570397648795,50.64645682937384,49.52426924003979,46.95502957235222,50.8226426227573,52.70970425754163,54.70928329409959,56.35720723251851,59.526856392957875,57.552948192777954,56.44393991370573,60.84889514535818,60.202717553677594,60.03521676650323,59.6959896420021,54.55573742389891,56.018066575833004,59.305260934723904,56.014167175256425,52.63959913175205,56.543664871558,58.56830209274032,53.160617280689536,51.82573547193978,48.28897888346432,49.67304462441558,49.942261702942396,46.5163992478802,42.21063247319472,38.54096041463558,35.90632509430651,31.73575416846738,31.611055091219715,31.216753711317367,32.24124428544202,37.12183409935242,36.41980773290661,41.095736962498144,43.08055314197795,44.005295327793455,45.608974469671026,48.94144558842335,47.96425139433823,50.12372643393191,47.52290906881752,51.058348062476064,49.61053289036373,45.687042119121394,45.75760847170381,44.14700738020907,42.70063123271012,41.9488430877866,38.67720763718298,38.38966359830012,34.66324192537443,32.556768536865405,29.76266854716562,26.756045352590558,24.814018348182195,28.79416989333909,28.182309794757618,29.06140922419999,33.70887996989599,35.93793730959363,39.00956248964616,40.255024902696654,45.6699688524135,43.272557810701194,46.7774074725861,48.39986020556308,45.2961592131954,42.64205190474116,39.0662629430066,38.41337227242082,33.83546574573229,35.419708970645274,32.468834023756536,34.59078262537308,35.216630162823286,37.64125009303906,37.70406596084089,34.159165199669246,32.318188489482054,30.327275523520065,32.44273374173546,31.8564952982561,30.782821409069285,35.873941212252724,35.769485157878115,39.46715841919434,42.482648179707475,45.79366138580091,48.016594587492875,51.40010769475634,52.61100607562214,51.17395101598444,49.088491716934755,44.826618679160035,45.32806958437373,42.49725653480015,40.496127275700864,41.441975250075416,42.72030824118097,45.72268575197431,42.600977340168654,41.27652759660423,43.10542380408094,39.510887847443826,38.13350662046545,35.96299863685121,36.406728459249685,32.52025439375782,33.99528321034223,29.476515346419408,32.26818194233418,27.75868648130869,27.029486486324778,30.768860636086647,30.857872149784175,34.586064465526334,34.87974656116585,38.992659547806255,41.08943566126975,41.26009704661972,43.17433386806309,46.174592604076786,49.48331536418854,49.06358822947586,52.29157356993724,54.83643278591843,53.58525234956509,49.6393158289538,49.394827410583574,46.02589343448971,47.479100970307705,46.7014602040412,45.275162194213465,44.379800498256756,40.791120960774116,45.08267731517168,47.27566015094076,48.71890217653922,50.10809103595784,47.026169587527995,52.65475043167335,55.76968135560384,53.36512145659218,54.31237957251561,51.987975769886006,57.20660917782852,57.38620631995601,58.907048533995905,60.10123302231188,58.23629530026117,58.400717433123944,56.543436638325296,56.76376896712759,57.459137763360346,53.06375460228597,53.72991734215641,51.461456305451684,48.373298770283895,51.06901078836362,47.84070986858719,44.88744069901875,47.35189426110754,48.36275865153624,43.56363621717567,43.12245318276805,46.312320383658204,45.26626298508238,40.4183501653692,42.32807213694188,43.758062320793876,39.45454893711483,38.282825034447285,42.39813807338813,43.94072003879924,47.28758770552368,50.44897425332878,49.968178154917204,51.746720541072946,56.897022431835765,59.66018995479346,61.67928208871443,60.785832242164865,60.1243253165258,61.9448548415699,58.99668787157773,63.72641509854128,63.72633446893487,57.975891185126066,60.04109891716507,64.49663497858924,61.2769688148539,58.70760257680354,61.78389167316182,63.237559341126975,59.23653596714443,57.80996816043765,54.135240693031044,54.35134392621144,56.80175916423175,55.00856300988624,55.148848248919464,56.03591250468361,52.64987660608491,51.206452057225185,51.70252120393104,49.622109885268216,45.94766397521917,46.92228506277667,46.52869448700795,43.418851827885234,42.94412344054924,47.13836740124789,45.24536682933224,41.063951962400424,44.87896329108925,48.40463068434632,49.365635009411896,52.161350211869994,51.75647660799612,56.12530314418006,54.88355174612259,50.47558649231878,54.40179946573108,56.60860771529276,53.77840675764635,53.19865388347922,59.08356574072059,58.33913693981167,53.894004123995245,56.475848350609304,61.17478902736588,59.635868640963395,56.098010013942094,51.52745899751929,55.74601496618491,51.87023142543775,51.349101985955926,46.296656077519565,45.35550626526826,40.526974762623595,41.79429177380242,43.84462521478477,47.45689834109285,47.55205119258857,48.085146192681535,43.63717928034446,45.746333067417865,41.361878005390054,39.82197415963445,39.58440830259862,40.33475593231681,35.973948198740906,35.60911588876435,36.81820584594994,34.02633166054974,31.20516781556058,32.463516166792786,34.46125605071361,32.78816317330468,32.549486421197635,32.94892235567471,33.478785602627525],[35.912134658361694,37.79374294351293,39.950863968905594,37.668038777903085,40.03602585478145,34.041364379573025,33.36872918049471,32.203714681532766,27.969854416651856,28.854108377228282,26.170053372598105,26.43844952339406,30.86262815130215,28.379164764394815,28.313735810482083,31.26921005318007,33.87043613005293,35.67754291856961,39.00322878063401,41.972211594394224,44.56101536417225,48.85018376420011,49.68263779992141,51.14449344582875,49.15702045975976,44.973145603141724,44.24525070250964,40.30319890577314,38.22818222542432,36.550502722657576,33.324278395137846,34.619596699138654,33.84198723712524,37.11760536821157,38.728753480166354,39.36043159082996,40.42023942188423,43.734918786808784,46.057903270441884,51.97360445906624,51.117886463254905,48.17992293125444,51.82559777531728,54.030309956769855,56.04344511261282,57.97923028701032,60.96109485274379,58.83498843754509,58.1241969516305,62.495495520835455,61.51329479051748,61.33385275459342,60.713763550254356,55.75802547837714,56.75492337046898,59.94361935720067,56.823323099555445,53.163666351357485,56.80183299575153,59.07051864550984,53.679345883876756,51.89823365576674,48.19360213975931,49.60718013634549,50.3075992763149,46.96579329978519,42.74406741737436,39.06658880621472,36.740583665127964,32.49396406447431,32.615703342054,31.880806347043695,32.49606238396447,37.31509356894108,36.480728980409076,40.5798276966609,43.00990896390937,43.50011312851145,45.487193815360214,49.09001431073038,48.28030841812487,50.85647889590872,48.299994314069025,52.15438313905985,50.970672833568415,46.79625881231709,46.60016477853277,44.61557837794872,43.09944856428244,41.69237837469426,38.47894258341959,37.676019665123405,34.085946241014135,32.0507324423673,29.884960876644545,26.519001541121874,25.339762446086013,29.06631208620807,28.910072027491537,29.64524792208063,34.33568715998221,37.028478174787516,40.038120409147496,41.79793298837393,47.32269981649462,45.417304721705705,48.942161093209805,50.896232980027484,48.06180585637028,45.11124048471702,41.8582276312684,41.030796206829784,36.54016611901912,38.16060654026339,34.95827595508914,37.2575972096909,37.473151964588546,40.1158299100018,39.59556150541406,35.890471597112295,34.43429441011085,32.69347234379531,35.32254398047084,34.866516056729964,33.935569238214555,39.01039595275655,38.972027527064526,42.47280130330911,45.439247594452226,48.392992664662835,51.0394641719101,54.22102563973802,55.390629884522035,53.600765075656305,51.849179423394546,47.551743912968426,48.537858635254196,45.60836280792593,43.65409330463402,44.24703434049299,45.57516754043509,48.244531785926405,44.848272402657855,43.63758203591829,45.157753769920035,41.35926176287927,40.308168160658255,38.01829277923797,38.554510128238135,34.794264226053066,36.21199387844151,31.52903933831643,33.8835390035255,29.301449250042655,28.171823799140746,31.951230558130543,32.30408662837217,36.235256257315974,36.388300495286245,40.94675725828649,43.27557580491355,43.02367801452306,45.42762085656559,48.05165028926715,51.76848942748624,51.733513480885634,54.97507984673286,57.70418883425662,56.63249410019464,52.70029288803212,52.29016976951528,48.78054163610132,49.823586485380204,48.75652271018854,47.0045636181787,45.91106105430051,42.09791866912407,46.093371501241,48.57254220976953,50.14652752010582,51.935064455986335,49.07674804760556,54.78684897325019,57.971464695661695,55.655155407850245,56.24724067873386,53.795798684390874,58.9925829263431,59.42567994130198,61.08625235197079,62.476061262111784,60.608602277116795,61.04338674993988,59.32298776958531,59.62825541211725,60.52091265849053,56.263695294108864,56.88354435542967,54.80349264362586,51.49423128999252,54.26376558742032,50.83090301495444,48.03475153868586,50.8044032732509,51.65280290823466,46.845304259750534,46.8293343923464,49.936643933695024,48.56667990965517,44.01511417196629,46.12332097250382,47.40910413365217,42.99856878279505,42.18430972978891,46.34965796058282,47.973460143753016,51.09920255986596,54.53285370153259,53.826190653861524,55.47272518415655,60.563900773849355,63.30657818675426,65.25516346442917,64.09265423684776,63.372462468152385,65.00291591000597,61.914529115403575,66.68308564055836,66.93112184216875,61.2334131745208,63.0992654008602,67.7216750591135,64.70606017435938,62.02617124931778,64.98356758230956,66.75204277076976,62.85383366536403,61.1796604213699,57.54929137632119,57.35491268743621,59.72505482058426,57.914127734127995,57.74155511704335,58.48347024051891,54.9428054269468,53.84976495281199,54.36435863224237,51.96446449117124,48.483318413692885,49.78110757677916,49.17058063328196,46.02312702415737,45.928953643046896,50.05905880798593,48.00757370549256,44.04780659656601,48.09186977082255,51.50242144580972,52.62715099554144,55.2512707262723,54.770078288140915,59.19139474239106,58.17649032737814,53.88678500758541,57.68893027442605,60.09649554197664,57.40276340553522,56.77599773166405,62.642650663954576,62.151618708980514,57.75956254947869,60.20151660715819,64.97352699579714,63.63427997668356,60.13790532624957,55.638703278525924,59.996085164925276,56.22919876055347,55.625463630909636,50.58431361163213,49.413010170344066,44.5715570050849,46.08216829602709,48.017520812790096,51.66322823842732,51.58229697443577,51.905309044516926,47.290979111135826,49.12133280465603,44.70047148804491,43.190569948785864,42.54104030959301,43.20986719825,38.62782279996905,38.7475264204713,40.032018377296204,36.95604760423903,34.28736688907567,36.05013537049245,37.901078671453014,36.0031288915524,35.613263565684775,35.86550770056115,36.25054645519875],[34.46329875250862,36.00178435028142,37.73136566096256,35.19213909098325,37.186946009696044,31.33492681521455,30.28095022885311,29.147815216841263,24.735274782598584,25.206232282413225,22.403788548592054,22.89169570585739,27.048026389568367,24.42455276592149,24.283851158052787,27.30910829368016,29.817851231956,31.550204541688938,34.83189540801801,37.82965480612698,40.40424897318323,44.70937425297319,45.52986383659721,46.97766945532457,44.98968508801992,40.80719853431999,40.112782063402236,36.20152305773297,34.158683973777194,32.61268771744609,29.344534114472108,30.858373887093652,30.228755041290093,33.43409098331185,34.92114014172452,35.3809380530225,36.56825370580033,39.70526826547417,42.020592770812385,47.97704804900577,47.028180536967646,44.05213227908421,47.72154839994611,49.89685527934872,51.88334113190142,53.82540836221633,56.80229347491203,54.694586955466605,54.006430690425034,58.39260627459278,57.432107328344586,57.300456129478945,56.69936589778111,51.72603045992238,52.822054627278895,55.944648420992706,52.75147403025433,49.168423666840454,52.85185528063945,55.02062483892312,49.60695446365753,47.90885538446191,44.25629797449037,45.632441331062836,46.23495753842632,42.894443185148575,38.633041144098904,34.96232436064134,32.590670137159066,28.344294094556414,28.464482916177996,27.819473297106903,28.432924740996125,33.27460575271569,32.46032623318741,36.73625173966471,39.05919719984213,39.72370890424106,41.62933004063356,45.174896375469515,44.44353034185502,46.96661456181297,44.5653900910501,48.376230641599285,47.089308458838566,42.91305533269209,42.61595930753219,40.79129953034708,39.125567372653855,37.932875520363105,34.61195210984112,33.93628316409958,30.31402791493123,28.34753298552271,26.023291773303153,22.722575602467238,21.39376071014822,25.427850555143365,25.398382347677387,26.651671828973058,30.93834019984708,33.907657750394215,36.59104580825614,38.54370831500201,43.969788069483656,42.13089101126118,45.832460607830924,47.76670890906987,45.061927935716064,42.088040521428134,38.84481822345201,37.684509683396556,33.17156632035704,34.5611751262074,31.150174989006604,33.39820210429091,33.45462540157789,36.10844732492652,35.46429661418074,31.74945854178048,30.345972976751476,28.68854261506963,31.473111700550223,31.142600404076525,30.418910436266327,35.51165875223388,35.83891134878604,39.15868848254755,42.21445243142278,45.06888381354771,47.81123409809679,51.03171401327316,51.9946583847214,50.19106053612639,48.34933692149361,43.997691383509775,45.139238336872,42.03412796970913,40.000217877171416,40.44366162165665,41.69184933438673,44.23904644928993,40.7871522207878,39.64567865101196,41.12667039120363,37.35451926915267,36.373245537209066,34.19985138088905,34.92668312121832,31.317753811296484,33.04885397374055,28.510920939114595,31.17828910501185,27.040393233670457,25.470824498601488,28.967780071829484,28.968171855227578,32.9975721746911,32.82137423327678,37.47855455011169,39.574211750481076,39.149593364947634,41.517194668257005,44.11230040560237,47.86421998725791,47.86587484250923,51.18878672447428,53.917045793265636,52.98321683411865,49.032547387821786,48.63382038675801,45.05040313736623,46.03930339923499,44.98680287639425,43.24226822006551,42.29895128585725,38.40340739926971,42.54885319526269,44.84592081964189,46.53074735313478,48.176049568150695,45.513372969580246,51.197758607566435,54.32540776657122,51.94081645975743,52.374425415019395,49.82536356815979,55.00708028184143,55.42208630663398,57.166901079780395,58.61560591021283,56.83035988523535,57.36972922778957,55.75514535460874,56.18331690557443,57.22121318502267,53.027787824735164,53.81111931444128,51.92880297886445,48.63917372559862,51.670154797581866,48.30733963772036,45.396253865085924,48.33764613060459,49.40745896456354,44.61634807771883,44.53734039234157,47.87675966536895,46.726398739580134,42.12110908171515,44.34457441883912,45.879658869688484,41.50954513480979,40.64015519155438,45.00343972680057,46.37566501810933,49.77937377882787,52.823764902841994,52.026500677223574,53.87832117407159,58.85773841803307,61.8647537907688,63.57890714064548,62.33697209777899,61.38224005973686,62.914920254569694,59.653656311733435,64.3319620478969,64.68457861788113,58.86098696208443,60.56615354748236,65.18295739254901,62.1953288081084,59.36820015749227,62.17212264777355,64.03912057016451,60.192860243986466,58.226173201272445,54.82723156670162,54.488779005495665,56.99975267871217,55.442852937920215,55.25527992715123,56.25960817146691,52.538579615742506,51.36384108996906,52.24461018738016,49.88226046512071,46.22874999530629,47.70392871946802,47.40047994251232,44.30390828077632,44.14034196382496,48.49073577203943,46.67422926492144,42.72525714283333,46.73210427548799,50.24501692373898,51.14026281097437,53.62792900414024,52.86782429218821,57.28580156547967,56.48496237839957,51.977271923235264,55.583107520735545,58.13320104032785,55.47137771327097,54.5272610964539,60.444623376837285,60.12190200819151,55.5766403978032,57.77938589884114,62.695122858202055,61.483943024915725,57.90880303237415,53.43554636106534,57.87990257957198,54.176365959115984,53.80923125922772,48.63603644897904,47.379586163610654,42.557563570477505,44.015564476407086,45.731437350198235,49.3105825713744,49.026550380056165,49.40531371011605,44.58614588026369,46.27244122315079,41.72126711628571,40.61556238440502,39.94669882243898,40.89822175285509,36.224768900654745,36.27328711139473,37.98727519348221,35.04046603502328,31.909415533295803,33.946890415776984,36.21186202730709,34.631060695578675,34.365952677956976,34.651218741705655,35.20857231820527],[33.97119592310252,35.21293926955331,36.65574404182189,33.6572077492643,35.508056415274154,29.986685725128442,28.62722029553844,27.84762988116932,23.184008270464496,23.057892948624694,20.301377938674126,21.406486531136952,24.94073123158016,21.840013894187823,21.889736058536,25.103366345201977,27.189395620000457,28.791047950145828,31.73023774528639,34.9769775856794,37.38672360787737,41.79858139097292,42.423648349008076,43.745944805483745,41.88855979109977,37.64857862773715,37.16331783023055,33.32746247803485,31.557284821296783,30.412166067371164,27.121585529285284,29.136799817883656,28.806661990935883,31.79819072010508,33.07235950725753,33.1247101529489,34.595207660767834,37.24588033835908,39.466820269814185,45.55213054105721,44.257802355182996,41.24455587574749,45.017600566870215,47.02938677867518,48.83898128442426,50.68944035658686,53.706100032292866,51.7920974304597,51.079848450892754,55.53832037691142,54.753008858867254,54.76261943582895,54.2566460953867,49.224225184173534,50.60728874423189,53.54998741642994,50.14789919725567,46.795265915156726,50.54859208991196,52.41997929744984,46.93199918027292,45.37011236641184,41.865086452139785,42.969321706634105,43.43918941204692,40.229514596833646,35.702357894859986,32.19394475020987,29.472801252127073,25.35956454677248,25.20298909425042,24.472022507793493,25.452667558823936,30.297840140799394,29.849671655340373,34.38985800712066,36.669283784494546,37.701261674340316,39.5368357549119,42.98121254521113,42.47782030568029,44.87563463267416,42.789062536706716,46.45886630819688,44.919129179890476,40.80301499658001,40.30721045968317,38.874597818700565,36.845341170804886,36.09150316463026,32.51335612242478,31.9209472082921,28.352364385191525,26.666206185858066,24.12811117993547,20.97898932338479,19.365129499023105,24.026613020109462,24.166128775324744,26.1761817484574,29.83525682683902,33.07473700363737,35.291355141628884,37.37828368428735,42.60349718390014,40.69538278334836,44.612505272149356,46.37521446927116,43.719774300028476,40.86695967171278,37.49714741010418,35.963967660774216,31.387429598582617,32.3490769565346,28.66827814844216,30.632328793585078,30.532580589161274,32.96150951195034,32.15324940976194,28.657932461491463,27.12617142911881,25.662770662498993,28.421087412320926,28.397039453649267,28.04886348664329,33.1954338901593,34.09539239400119,37.256725295399725,40.47019832168476,43.366361410469935,46.00937277100072,49.39266834714075,50.075038936049914,48.43271709083026,46.28048455136491,41.862444927249165,42.94134353873127,39.58622429019957,37.315223436613536,37.71889520661384,38.612367226993506,41.07476113707888,37.69505477073678,36.747054280440054,38.33152250470504,34.751080492151395,33.78255554263046,31.945839780893326,32.9898549389255,29.59397873446223,31.802396928931916,27.56404642753975,30.73627999592324,27.15230602460871,25.245330087205698,28.34062566705094,27.789960811951886,31.85892057611043,31.236493409438577,35.871836794720785,37.47297856559441,36.889273605726885,38.9390963037619,41.65182592882308,45.28105322884739,45.10266567078272,48.616829668413395,51.194175950224746,50.42464389232073,46.421455527110574,46.18563012248981,42.55432706329332,43.68703655970121,42.80362379194899,41.2021359556634,40.58454009443576,36.62712258900173,41.06879368349101,42.99002231996029,44.823717977382934,46.09546668283774,43.689125966441445,49.28416366256311,52.28290165878209,49.74210273012163,50.022487338384735,47.311049974951914,52.45050794289713,52.68784423165883,54.586773900747936,56.05822527867984,54.448460419577586,55.04557430593486,53.54584568412835,54.128990352295624,55.27165659109333,51.091749347449856,52.13572105561973,50.401083061095704,47.27807165816584,50.56686905225064,47.40179220039158,44.28961894390365,47.23462915214524,48.63164149619035,43.880994331034636,43.47072033147674,47.091585342678584,46.34591918694735,41.53852242427738,43.72824681893287,45.570093563537526,41.32200468612492,40.178830236701835,44.645801556009786,45.73954906840378,49.52005159579785,52.02238014201784,51.316157306336564,53.43339940757458,58.33841684354062,61.57106323966119,63.13240745125569,61.977258762888745,60.8408289178094,62.37664925744665,59.02293158966799,63.579566107524364,63.91084818376112,57.943382255811315,59.58060059865923,64.09087527904296,61.02161520194621,58.101248196571866,60.784872081875264,62.573714348907494,58.72900246551067,56.56456884324192,53.435750973607206,53.162344233118326,55.87630986194352,54.613127205982956,54.55123598386424,55.87977830138766,52.05120758126105,50.652687644981675,51.89372382503474,49.70775166812781,45.822266435888665,47.321424552014385,47.399601035549786,44.379628458835896,43.981808843444114,48.533751080103386,46.9922508909023,42.96736081070097,46.809475152940124,50.44718348726152,51.06926767061583,53.52156920800621,52.55496854482325,56.929907677183834,56.20422377607758,51.45032577432651,54.92776906081129,57.49138325627535,54.783836722120846,53.55965594757757,59.52470118280782,59.20165963455536,54.47538707944385,56.516768342532345,61.52566951308515,60.29984439094536,56.614209698318774,52.11792464668509,56.51066486183911,52.77325952590979,52.73396290718284,47.43831674137624,46.30775070483273,41.5321670183748,42.70616411664322,44.28515412721655,47.74120454509238,47.379646635529696,48.005349252445804,43.076715330686966,44.771763813389185,40.0844975851824,39.467204109293434,39.01796686230695,40.30978519985069,35.67778754886064,35.40364475083414,37.506721086394,34.85702451471977,31.21330130126387,33.228798230611446,35.96165974465111,34.787982024176415,34.698500366254514,35.07800267073483,35.811195162828525],[30.45330871086766,31.3782929540479,32.45444545592735,29.375710922211713,30.937418979713904,25.516826573694882,23.970067594740456,23.290456424745418,18.550916384492012,18.3317151989105,15.696995107279209,17.090652173840166,20.460588626646523,17.310371722784758,17.841077031739314,21.069919490775693,22.955914311629478,24.979289577371475,28.122836448811448,31.294014156810494,33.9680539265314,38.36746550601524,39.12098008023554,40.293132751919934,38.18356316483016,33.900513441529355,33.14262526708963,29.166050949282994,27.495473424095646,26.326987812550882,23.704588228728117,25.444481325824864,25.664848496897488,28.911195029906327,29.68651788581975,29.517758312867237,30.71990667359174,33.269243882105656,35.32261468557391,41.4462486561268,40.14734989973547,37.414857365765485,41.295686669248404,43.1746063781257,45.1247506867823,46.85502830990506,49.97432921889247,47.998205878245436,47.02900819268447,51.46512046291974,50.787020562024985,50.72998491029369,50.375628523119644,45.23792198828822,46.84744382356851,49.94835648531405,46.523581678348606,43.29138643284636,47.24830313144279,49.0729123169769,43.63150138258786,42.44254879584897,39.02963189524788,40.33982164163002,40.419972955539315,37.00700576579266,32.65691502994137,29.00426060467442,26.324195015292297,22.15329893891643,22.07456069134831,21.979218599523612,22.911471950647655,27.795357173337155,27.09346644040043,32.128224097745125,33.83460693542403,35.13760527389365,36.553387420783665,39.75163075408947,38.997744645236374,41.082534381196936,38.89912355800505,42.37034101496506,40.714174552677775,36.74399552467514,36.50915225309398,35.259456647843535,33.43475443842604,33.1627443115855,29.673821838669866,29.695699396432186,25.965876463427765,24.080961570902144,20.938692665890144,18.21960389528162,15.861715558618176,20.61384392755276,20.399277229801775,22.68801755686541,26.1082012434514,29.122419768545715,31.257281781678564,33.11192357653927,38.24354701627642,36.157191462476035,40.12214468589966,41.7714064865007,39.10682285787614,36.324758117361775,32.89114028713117,31.275761587734877,26.679667240325795,27.609750805753457,24.003438380068495,26.03318576475964,26.13640675412674,28.67001345662641,28.305127776777763,24.664411969931024,23.028637165699163,21.278329802869628,23.97190356130164,23.758581471643996,23.31559828430296,28.4527247373268,29.398148406573476,32.51581589267096,35.751459589048736,38.68194221792288,41.27882637392749,44.69564804702495,45.34529865609754,43.77344185793597,41.546622579940134,37.13150994926694,38.19398045571657,34.863690930993506,32.66346799224239,33.097191261802294,34.200858774654236,36.803327595701916,33.44865109149719,32.316069668302326,33.97104102941946,30.39224212362932,29.266601852095786,27.389484048190496,28.384787847426356,24.97207162303484,27.31328208305577,23.249015626370145,26.767056731964054,23.59985130316047,21.617106186478694,24.45554504125451,23.59321657197109,27.573145200120255,26.920430792545268,31.363252390963616,32.86290087934968,32.474303419364546,34.40118316846256,37.239531405849235,40.74724127004586,40.53045562138543,43.973056108545265,46.57878768983728,45.736782322312806,41.74595525960218,41.47577369943109,37.868877765425424,39.066844513074024,38.2552131517186,36.77590185198082,36.241956551904686,32.404549436743324,37.01688169248881,38.77526542007994,40.53267298159904,41.63278933070793,39.12768899736565,44.69647255724105,47.678406914494616,45.122274219298475,45.564198274621134,42.96058179973413,48.134326676206854,48.3331631432328,50.10910964148934,51.50422912338687,49.844999915014114,50.3612268804509,48.82153218636561,49.38825354317568,50.525280510600844,46.35083988169883,47.42981478467969,45.75540360362259,42.66204254883915,46.0589908818077,42.97187812685969,39.78639157552362,42.79004730030661,44.32328356832253,39.61284659192045,39.1533514898341,42.89857366273586,42.32871156214202,37.50923999700959,39.76958475066016,41.78249101965803,37.61570125129045,36.454666392556504,41.04024999752968,41.9297804886253,45.87229404423169,48.09067623828847,47.28831061704734,49.53404414353293,54.32765185266376,57.74262873306478,59.122702025321914,57.92908325684142,56.64524398963233,58.13873544970137,54.714931119855194,59.20045307597771,59.554175355660014,53.52651529253077,55.09782744508249,59.576061254231796,56.513399406141254,53.53367805257461,56.155705526897876,57.97337693647175,54.15938483565641,51.88351331247974,48.84487316807159,48.54415616310956,51.32838544956974,50.20122255334336,50.19932890349596,51.71324000484752,47.83987165885989,46.3040843150434,47.75687966835656,45.692160583960224,41.66497653491485,43.19567036100163,43.53592723152441,40.589781844728755,40.065620254947554,44.75357063200616,43.43877810106303,39.42982468862719,43.168104391097295,46.8671659298494,47.28455058386331,49.63610690707698,48.48810971154086,52.82984658374127,52.22926607651364,47.33937516153794,50.67815016280203,53.3094677026717,50.63344434828894,49.21285349269866,55.18670727111224,54.976552646586704,50.181155550969024,52.06988950521493,57.1472129016946,56.0256681200568,52.31953162459982,47.874678097307566,52.348641930194134,48.714499806682966,48.780698413527084,43.43618696679415,42.18436042056792,37.457281459349716,38.66822655255486,40.06219942185335,43.48012216955657,42.9631966232483,43.559124570605235,38.53374062173785,40.14853514844647,35.422821023386774,35.006562971030014,34.59724933034997,36.07581599692984,31.47974457291351,31.061821511826842,33.43567198198206,30.96808530188158,26.995854599882808,29.138881445132263,32.16795485311742,31.313646604861027,31.3628011129229,31.818592437654207,32.736271805837745],[33.232796657676914,33.91881429917968,34.54517375421278,31.527763728533063,32.44785362207038,27.15066853840829,25.08900600563334,23.99586465269507,19.339105768291688,18.51089637419135,15.360469307489375,16.439604212763598,19.628597082422193,16.697747186875958,16.130000328322577,19.316163794153535,21.605398795057884,23.045678527033104,26.250527521577276,29.268539574776558,31.813101490124374,36.134815404164,36.9594774597319,38.42303104698696,36.42027399062093,32.26572703887786,31.650314624082945,27.845983319366265,25.82654309200198,24.629702339611097,21.1785021551871,23.321658179245738,23.058808116352413,25.991806432103637,27.161374230180044,27.189130368459068,28.736798626972504,31.423192087380368,33.754377343770656,39.7743824040793,38.63924660423059,35.531970360285115,39.22492690346547,41.3696302582246,43.30602561923092,45.301965322464525,48.24199484068843,46.14548144273438,45.55827789706043,49.96926117051065,49.008315864457046,48.984050523445376,48.39668733010455,43.41182087991517,44.68811103561146,47.64279903145695,44.303567655686464,40.879580288821714,44.643803742156535,46.59918138255895,41.1438375569458,39.62157716173901,36.0936296958493,37.40204074842296,37.78641779330882,34.44284342297775,30.12509777806522,26.456627983744987,24.038268195816975,19.769592290373307,19.966245406859798,19.624130590468262,20.105014736930954,24.98916808798902,24.160637954158975,28.863398766788585,30.88710348117102,31.967404682633653,33.663228026143,37.065422404289244,36.54381460000079,38.96446736678993,36.97123445610685,40.68694012151962,39.182229585654454,34.98779669116283,34.40275487028462,32.958470694682404,30.911713512406255,30.237277266510276,26.67178647927526,26.337125884623095,22.67498525212879,20.934480827680506,18.22782810873117,15.189460098384505,13.472762982241607,18.360131545718325,18.78494808315149,21.473609988500986,24.447620333884725,28.143602763483273,29.88052704709108,32.37458563759775,37.46877831457716,35.901134834538254,39.988882259317464,41.89376380810561,39.59405719167926,36.57156948203774,33.48071173722423,31.464267699906383,27.022330976057972,27.762993037636946,23.79592024333891,25.910161862515398,25.445832524055806,28.17346524599987,27.111783367999337,23.32504028069497,22.174464663356357,20.80999014414895,24.120889107514706,24.157876612834446,24.050803088472495,29.04742687141109,30.328374881165946,33.06231664329923,36.273551599810105,38.7703328750004,41.78606242232212,45.023564836135336,45.468809449862434,43.59046029514688,41.60474893479471,37.160906420685514,38.76894761241407,35.25588379493067,33.06795717085435,33.04090785053073,34.10938971118366,36.2625876453626,32.625987499404225,31.676726253971477,32.98302076430054,29.259192611451578,28.533563001672945,26.67688074350713,27.93041918037147,24.847342396684112,27.366774095338354,23.38225614884303,26.68848712855259,23.924050422938823,21.25434328076481,23.777025456383253,22.833096841242867,27.02672656765431,25.92940707201687,30.830587095069298,32.31642446902391,31.369453163744016,33.712502969282504,36.148294568691846,40.040239192481955,40.210632955381364,43.70546593180053,46.45672916419889,45.89145558322345,41.93426632715844,41.52737495119453,37.76845426158482,38.53266436000521,37.475329790420595,35.712678207431445,35.137744802042484,31.038629385623256,35.493406984840185,37.33533131329279,39.304787013086546,40.63265270019856,38.518849985134054,44.09863999163422,47.0761880680716,44.556419247128304,44.54381298853792,41.74954711081395,46.87112942993627,47.29075048506748,49.25065861609634,50.859532634940564,49.27354697004589,50.10683968748535,48.780973122313085,49.5143233307104,50.924888896397256,46.954146442989206,48.107012133215,46.75435031311788,43.52159056958983,47.135694387805216,43.9619147438049,40.862179719497846,44.20487064519719,45.741297377455524,41.09179820255469,40.94300710333157,44.72738558213273,44.04991469660097,39.49362758571163,41.95282515239308,43.983276187503016,39.80895452457586,38.90768456847669,43.59120652508488,44.3827375411247,48.28246035579963,50.45324969335267,49.42475881189818,51.67731194212658,56.3160112271368,59.86171045914825,61.02678799431906,59.578955489705336,58.099906225517,59.36532937188336,55.73097536535586,60.15536143989418,60.77958811392911,54.74775058440847,56.03161823503147,60.613000792289675,57.75528387126392,54.60248863437286,56.998769248513206,59.13321324415049,55.466577188134224,52.79395490060404,49.984759984048374,49.23947877314993,52.038878216307836,51.09128305438062,50.82096790939899,52.395973628263356,48.29364404490048,47.00019800144138,48.71935866921583,46.44144416369103,42.489221896683524,44.39243477098139,44.766813292455254,41.85817834220409,41.59687830933551,46.3279630267724,45.05588640690884,41.269337385537106,45.11982434606479,48.75989094353478,49.15433242492248,51.263106101861474,49.87790649793021,54.22416656333803,53.950354051503425,49.05104027737428,52.12920186555868,54.9960562191394,52.47053854564748,50.81315834299418,56.757904668386274,56.863228324269876,52.04838807633695,53.64767829957932,58.84125228722536,57.97256063084567,54.276697121192754,49.9459285818381,54.545335045583165,51.07052684647647,51.22079167149964,45.85722606018076,44.38470177073528,39.72407453914136,41.078050138187265,42.22128550392233,45.57903803399443,44.79017692754262,45.244035583964056,40.00604865838524,41.258465651145464,36.47450817615979,36.38621990328681,35.62041831945042,37.2127019801842,32.445480373587294,32.38919011037998,35.07823143314031,32.51291560222297,28.44066444922152,31.133231876704063,34.2385173142341,33.418368079975394,33.42947194654736,33.79033495454187,34.685060980282245],[30.20555534650743,30.56359485159899,30.798901581952176,27.753934851971174,28.325680559604404,23.17944291454611,20.893471360793527,19.87806549808857,15.178079580570568,14.171892033797672,11.086054082215087,12.528244467159215,15.51910869204305,12.551789024896602,12.55990554322098,15.7744037040842,17.85549530569567,19.85328400146463,23.33831269763516,26.239960864390955,29.107850118360886,33.399653400881014,34.37718524897104,35.663881711238965,33.366321097341654,29.170326974354108,28.214258725400846,24.22992620032697,22.306676556265806,21.046060048512572,18.462089920613042,20.2083248152411,20.638608164886886,23.887083821358683,24.442046625727293,24.218853300429316,25.41359867206087,28.010138419230408,30.148052186917223,36.216200320102274,35.09287851038477,32.31978012034986,36.13591832877693,38.1295086846314,40.23498390983833,42.092785895479274,45.14921220906229,42.9786415382095,42.09326385630712,46.47630476664574,45.63583099654519,45.525094018296194,45.1098994035245,40.00244969205065,41.530109938294586,44.67706355523332,41.32266292184342,38.03072476307318,42.02349115124275,43.93603679966259,38.54523891788671,37.452919850720576,34.03995752484139,35.58863012647108,35.52573959919053,31.950127183348595,27.872095502069083,24.04228156197572,21.713668968762516,17.406553445137583,17.728535133721604,18.20694253328834,18.595638201303718,23.443407694557322,22.296678735087408,27.531887212905424,28.859918260805095,30.235193203436072,31.429850076127927,34.53679676173081,33.70433537746901,35.75792386949619,33.628579428006134,37.120581744836805,35.489672612421565,31.45953689188419,31.20104409405818,29.9547750311085,28.181668019033008,28.068276459063537,24.651044212018036,25.06141906903226,21.252233327437796,19.26883562242387,15.814870189634107,13.418597382680112,10.66705586787308,15.615405448922683,15.563257382331647,18.583910172533244,21.259353766275186,24.663590457046446,26.323137155728865,28.534788604673682,33.535907330361134,31.760809277930132,35.8955518980002,37.68033208140132,35.365599465852796,32.418254383122324,29.26976331673055,27.167154182438416,22.710282687508215,23.42945184454545,19.5435825516169,21.775540141847983,21.552213944796893,24.4364941439502,23.920626518115743,19.938193948449452,18.68712407045973,16.952295678318922,20.221915443615526,20.009820368866215,19.781770504847817,24.74093590157262,26.052072154643334,28.724830100275636,31.9501909323421,34.48016699642269,37.450115898122036,40.71705390348068,41.14497666231427,39.33869070421726,37.282435428953946,32.84103575527892,34.440002184711034,30.969315358926906,28.88267610990695,28.883176102446935,30.222590705955426,32.54226978210676,28.931241792143396,27.748235601380063,29.130835003709933,25.384849426582534,24.469652507231466,22.53123405525364,23.717988675184834,20.60794457120264,23.278626189877485,19.510963236624118,23.190795739219887,20.94540238600348,18.21020989549764,20.390282424965083,19.07285765965825,23.161359750046753,22.033921485279095,26.724101690334212,28.121144176302145,27.41040384933222,29.63666379637459,32.219526235481624,35.98190878674626,36.11737447153028,39.52214289820139,42.31416676445226,41.65298913062003,37.712397220432564,37.25691436232752,33.524670255025214,34.35604037999916,33.370055966537905,31.738922491060347,31.24263986375908,27.28147901201662,31.93101841396398,33.60647401426781,35.4786329824863,36.63049640065996,34.378776325066134,39.94235092503943,42.91322564413753,40.38069605530342,40.56908569018032,37.9077301754228,43.078366468695684,43.4587487720567,45.27036467220651,46.7902545524848,45.13415249106122,45.86863278665769,44.485016732771314,45.18682196426225,46.57899009363791,42.610132115351476,43.78514785494845,42.48685155366676,39.283723059606125,42.99254724669394,39.90122834441515,36.74009940870862,40.13365987737007,41.79324544937882,37.20435767927987,37.020137891838644,40.901115233180356,40.39387877036063,35.86244341754399,38.378067772409885,40.555417978183215,36.49407175098207,35.59390766025147,40.34938173995281,40.941772696386394,44.960742145218546,46.85830024732599,45.7373411584598,48.096809840135684,52.61078158484206,56.30845639228486,57.30633095960785,55.82870711058818,54.21890109784839,55.44644748911716,51.75888625705092,56.109954733435586,56.747247466510174,50.671399367669586,51.896409350263234,56.440734463241924,53.59058468587049,50.39072986595007,52.732706189151706,54.888017894839486,51.255266002114276,48.48934776962469,45.7604621616558,44.992295371286595,47.853463730091484,47.032880728479796,46.828012033805024,48.579288938881355,44.44894441452638,43.014878138146656,44.93280429063763,42.78683431318132,38.70488835550672,40.628098656874904,41.25965406725835,38.44033493642124,38.05418429405818,42.88969906052867,41.84569256605144,38.1015933382148,41.82134680814274,45.497411522364054,45.69381197904652,47.69854778734228,46.14767398060238,50.44618968777851,50.28787103869543,45.27972252350486,48.215264265631276,51.13572561200198,48.64970718134487,46.81334994479157,52.74925940562756,52.9611777549157,48.100056803116104,49.55112305905698,54.795982146304745,54.02905492014903,50.329986764087835,46.0671351743213,50.73060096803443,47.374058113772485,47.61075586876114,42.23754463936622,40.64492330253,36.06628272748448,37.463189681080934,38.411404221384416,41.71626981376914,40.77418300944707,41.180840948876536,35.86544153755972,37.024592922116774,32.21754651164114,32.33295738249601,31.599430923960234,33.3759991694547,28.671953286470703,28.478794189715277,31.433333972044743,29.075461519315063,24.70220905083141,27.526151941985272,30.892556436352884,30.401940520106077,30.55083087191001,30.988412581459805,32.05366262578361],[30.83671057643246,31.384402915825863,32.14532282878114,28.39389407603747,29.871500691821787,25.145940421792844,23.285461445035963,23.34385196463258,18.43240132370824,17.240385052296926,15.00415056356332,17.50718606405406,19.55856983584978,15.558566207814652,16.697930421017592,20.127473475490138,21.05802539250999,22.88752587683367,25.296010274065498,28.925364684477813,31.27903449405617,35.841192896551185,36.22120739884114,37.11434105623194,35.244671650643355,30.86296647914475,30.48033949578909,26.65967643970254,25.598409072074023,25.19214039080715,22.74000549898676,25.21968145037804,25.95772765144027,28.777799496918092,29.163077072364125,28.294242670169826,29.902375974341496,31.551232823651407,33.36468468653157,39.656263236848154,37.75097031476241,35.03477658630142,39.085647369435584,40.62969954462963,42.25867953452506,43.77611060067798,46.98323184244306,45.37378954659456,44.30971894588918,48.858422842362884,48.51738550970517,48.69494213188445,48.52355558714259,43.308668371818044,45.41390412224446,48.213482286143226,44.463621267729195,41.662807571641856,45.70996271086278,47.021628375869774,41.4986184587507,40.576690906806846,37.45838741410302,38.28714169992178,38.11856271222276,34.96768697604342,30.193585450058613,26.90502853066747,23.568978970869168,19.777481514771882,19.07686107411168,18.867640401902733,20.597080239415696,25.354392345897224,25.371715237780364,30.761270311704713,32.351512463603946,34.24515396375513,35.51249143778114,38.48344867002698,38.08722240673277,39.90641469988827,38.23222785314481,41.39893270106793,39.33433603270858,35.55137963363014,35.03742883398381,34.47746546304358,32.11084194812706,32.594792665528956,28.777620168582214,28.9461491225189,25.426107603167647,24.068146518102893,20.695443106375677,18.441321429283004,15.691868426643074,21.155321164941995,21.14620419496515,24.36022230417134,26.771898268864405,29.9830139471127,31.414602165579222,33.32650679427649,38.051109530794086,35.80058056186143,39.99861215313607,41.30984396718199,38.6826821819825,36.19316734415776,32.56310440772635,30.473649996470265,25.861187605250898,26.048863714839428,22.112727450308338,23.518495630432078,23.443470100089773,25.45264202726304,24.920749709933496,21.799459324333913,19.80243538602031,18.400863580991096,20.833852526721415,21.1947592704775,21.42650491852669,26.571387241333852,28.425718779073822,31.296441233292406,34.739002461776934,37.787144269352666,40.089116659043036,43.764429653365745,44.008178058734885,42.778230503212,40.02225326269336,35.55851800873732,36.37219787909931,32.69051197641446,30.079190784211118,30.54502881092638,30.97732626452765,33.51495633651712,30.379138773585563,29.583291115496404,31.489026197017782,28.33735169144615,27.171511842694095,25.948011680602885,27.425881374887677,24.421506691175576,27.428811786821818,23.99302263525869,28.12637386161825,25.775992774947607,23.57619518480138,25.754718445711937,24.12335969624008,27.962299165443422,26.69986840815342,30.89466311254684,31.539853309214408,30.991579350358858,32.24677135503538,35.33974519822417,38.53254485305774,37.91308469128813,41.65876909406135,43.95456311353815,43.33384248366903,39.269490211885376,39.31845662706327,35.69611555162632,37.227592614923225,36.75701764393648,35.58803078485763,35.59938730125195,31.781373454757052,36.78763326894209,37.91699340196984,39.85074664539911,40.30332416298666,38.17268647005478,43.52712448693617,46.27457701733709,43.48035158322871,43.752131638132596,40.93188065030053,46.0119527652089,45.858557816529974,47.84983382241955,49.234719530835484,47.86189813647006,48.407939332071585,47.02096257342975,47.79730145744346,49.02925022336432,44.8628293342057,46.327212775955225,44.819761680508044,42.06152562898438,45.74561434676511,43.01830786235895,39.565367844872206,42.432019906480846,44.42354696689242,39.83619731542672,38.80204208610781,42.88739595832672,42.93509044787006,37.84537997316666,39.94515322451053,42.34577675145089,38.4341594588766,36.82991438712774,41.42578415617458,41.941744717594666,46.36290490692851,47.80068586030724,47.21991400632618,49.80811393226513,54.49154392466838,58.14003687257046,59.366108791766216,58.38002206822404,56.91517743683429,58.45987229155712,54.99616582361235,59.283116368345425,59.53399201776244,53.35863338085761,54.89115886886969,59.14992520196014,55.937984267710355,52.893464549506504,55.37179834280171,56.97295653233741,53.151472806917404,50.69961914029419,48.04574879850561,47.96199343845446,51.01401092224459,50.28244523716893,50.52419974150597,52.45536309279954,48.53455150567704,46.652518395120495,48.5202416218519,46.77417698929878,42.483747012016,43.928951523691794,44.76835029100904,41.96701684885926,41.07299896942549,45.931332545030735,44.98033031187951,40.88697069158916,44.306245259120466,48.12473910671918,48.186009032709066,50.52922124715734,49.1849326886682,53.41158899003685,52.82777581325073,47.66477809954449,50.854228629537424,53.406347873533505,50.65083290828309,48.9143022274593,54.90142393539076,54.59750250041072,49.59252424219948,51.30847701558138,56.44252162188125,55.228851851110896,51.38767594879126,46.917310231926976,51.22034221612316,47.51280225716614,48.048520955536794,42.59680816275731,41.63730004294245,37.04525665560256,37.73826866422908,38.98201699962697,42.172551173429326,41.63071430022905,42.655243620311374,37.5977741921529,39.30252056228133,34.45534586954854,34.73402785445886,34.76705059096301,36.67918766141723,32.3097464887742,31.33473084817125,34.12130174081607,32.17305511563654,27.641838751522023,29.512379658064336,33.08742002112823,32.796341977840186,33.088925557419515,33.6814641817027,34.786656398304764],[29.519639817971477,29.71866039220175,30.171218615570336,26.021907281021072,27.385765419537496,23.22557496226659,21.214443470077235,21.876153596467464,17.01039687334181,15.290573767601714,13.674390821893637,16.941369325373234,17.998768393611826,13.540375638703143,15.589238320461178,18.975579439300056,19.060087475663135,21.100049771731246,23.105504181253853,26.929694378601315,29.240610169634774,33.8458199426006,34.06931917681767,34.64653475245492,32.76298725139509,28.315538147704842,27.969243539003518,24.176892336536177,23.650621466119894,23.704428143607256,21.972620734954372,24.547959232594312,25.90762421033559,28.61768710199388,28.460945750194075,27.074199428080966,28.658052975277037,29.68395956453232,31.180260948883777,37.54356147052134,35.2757984143211,32.831766804858155,37.036023932059635,38.25113727926253,39.76982692872294,41.03709217673954,44.37162433090899,42.96361398790362,41.63349767336953,46.21359874630201,46.17490096996343,46.434386465453,46.48989381522075,41.184368326236196,43.72879845780288,46.45777804931241,42.53376083105993,40.09229534787974,44.29445528455837,45.27534983168783,39.782843830517955,39.27777466285037,36.42416091694219,37.09848900097147,36.5301729122188,33.43671175604018,28.5969340542244,25.50428077293084,21.840625812135027,18.401055928700075,17.326962376269005,17.528317218555703,19.717217052417194,24.252458363683367,24.5465796338775,30.31406845391024,31.447922229792574,33.79674993665926,34.69716868740554,37.338921201417236,36.960560160537085,38.3858034063054,36.91715620568938,39.732031900621344,37.37079568088914,33.859904362486056,33.409942773381125,33.3705915571275,30.90454891917163,32.10853048921695,28.266311878756106,28.888070117348953,25.478634107453694,24.303149382263772,20.56616183555586,18.94759407817684,15.687183548865232,21.21886683862099,21.026462319719922,24.65251300926231,26.426469710984197,29.419882778033962,30.473689369974235,32.1389653472464,36.52499094257891,34.02032011489436,38.298485834471755,39.298484187701156,36.64367126567107,34.43491486510364,30.643708977100864,28.343014727773355,23.76816045968689,23.500765118523294,19.555481837710005,20.527525768557904,20.598503350755845,22.24844774817153,22.070281103076823,19.29201299763315,16.89760628221494,15.483942355081126,17.470270632135463,18.05580232986282,18.625927249291188,23.70747178191035,26.069864192951805,28.797052138324215,32.338905332191494,35.5287188337185,37.52987438225676,41.37830036754599,41.41334075538173,40.48509030248959,37.357973461867054,32.91024431404329,33.44626397466221,29.630373345036027,26.81718849823288,27.41977772546223,27.556623320830994,30.2294314877467,27.33036962137079,26.5995271578875,28.763085229476083,25.9478694212535,24.59247208787698,23.775856127489885,25.436452857195196,22.678341820046064,26.041564981902816,23.150956695517113,27.706197718713735,25.98873923985589,23.836616382002692,25.52236311354364,23.384330193674465,26.940390409139336,25.434263875185447,29.19789068747387,29.275565372889062,28.867768921931212,29.543198148822444,32.91445172711594,35.748689557396226,34.787627372236024,38.64229391838864,40.73266442755365,40.14496243360891,36.05393007453041,36.30244759456439,32.73999745098035,34.58765512731644,34.41065914998713,33.55839445556676,33.931988530330564,30.300889664740122,35.5660561431539,36.23474157155964,38.16116803318063,38.111580921684805,36.081584150989094,41.25122882880804,43.84108251873438,40.91470263980017,41.268180682038896,38.44359585718514,43.4665741365538,43.04450572365298,45.04520811278744,46.333964262147276,45.086136198574195,45.54082353080255,44.182475790253044,45.03163000442599,46.25374846914935,42.07586039299178,43.75475570837334,42.31975045907494,39.81500715133235,43.64405300309992,41.19625153667591,37.574987347659714,40.30142453351054,42.59903422259708,38.13603764771898,36.7053235974329,40.997101887900946,41.49157800073742,36.259854190060736,38.24304710722519,40.91125914579042,37.2289743860972,35.34883555226527,39.932156981190445,40.153096930513314,44.88010426266115,45.74886461424211,45.286995088170045,48.103586793154236,52.66944276140926,56.48481242978262,57.57435801676025,56.73105835508556,55.141617104652795,56.726410025051564,53.26551463071373,57.399626349842,57.55530483940133,51.30424017895427,52.82812343285653,56.91252842619621,53.599148491983804,50.5368417354683,52.93618290929156,54.36649280152241,50.54539722886831,48.02575703607346,45.603082569311795,45.71218626791873,48.92500538998138,48.44745842008239,48.89920658104938,51.11705879362098,47.223060387480494,45.0595408506736,47.18796785471665,45.72448547730542,41.2565041091585,42.586429784496595,43.803818768833864,41.14032802881293,39.95234831816959,44.90383678283433,44.253736404167114,40.1347535013893,43.27420018954031,47.15612279884691,46.93536560141489,49.24936166148844,47.7670948365487,51.883706064478865,51.314200804931104,45.97915882477952,49.04288343187746,51.525419948239346,48.73306209710226,46.781111049558426,52.749195242516144,52.394243095202526,47.271922246081914,48.85867023568031,54.011944600373866,52.75891751732379,48.849615368788236,44.39586794733121,48.59730363430105,44.893776472857496,45.72683112452428,40.23284171082142,39.42498671486316,34.97058342368475,35.34998092978644,36.44324700098976,39.46800402323651,38.88486330041529,40.16060743095782,35.11763946550467,36.88722477491293,32.00950064969009,32.735057751120024,33.11460247962273,35.314192902219304,31.198881932779642,29.783964177590438,32.8294671985355,31.317176665033053,26.436580209706957,28.065806036231354,32.010946022349664,32.181598546403094,32.67678565269066,33.387554025401265,34.65129852441573],[32.82191617921049,32.73808176329571,32.95784708142085,28.252566836730363,29.538008943624863,26.35246403325121,24.170377095314517,25.47445405595492,20.8330206930902,18.29240659813287,17.18416691594475,20.94494333729264,20.685593633505597,15.831244488129135,17.95332451962493,21.21223275256616,20.245618025500768,21.568271572260695,22.242260400784023,26.58346199269655,28.180318538416888,32.87863434013956,32.486491749008465,32.73367889716432,31.399815959026412,26.978105406765156,27.37450281644921,24.088070157593997,24.368106120785693,25.4075346123634,23.583353074947638,27.021286482334727,28.5758215868223,30.57661969798991,30.244238923124108,28.19618067891115,30.369311073677913,30.281455395648663,31.513083520538856,37.87968970279469,34.860598604760064,32.3370211167776,36.5925683282014,37.398826147045035,38.35718585027487,39.37642911378551,42.71832696568308,41.8745910535132,40.5935969278959,45.26673418260618,45.616568370576445,46.222116008626955,46.42656733925904,41.1799493445911,44.18400154727778,46.386297939826775,42.114169954522986,40.22185803278954,44.34540267289307,44.661906438251215,39.13652311632484,38.79567182156931,36.349895744225805,36.26273428055168,35.57344729701358,33.03410284230323,27.673258587898133,25.313689921744192,20.88998712735867,18.330604966069533,16.35372973672338,15.980058658077539,19.248513405602097,23.267132779495864,24.6807940137059,30.399959074985706,31.636135056429445,34.518120368340064,35.42632298924738,37.84309121771883,38.06221488115957,39.30150141560999,38.55993355141098,41.05534995334896,38.30892499283557,35.0397589183561,34.08762373138817,34.80592406263692,31.630616267864475,33.46389196877784,29.316763387611235,29.78206331479092,26.84849816310112,26.42239956054663,22.958893991870838,21.70177532830059,18.719504258413806,24.500647959996463,24.72675122058539,28.95045770939582,29.804661105134983,33.06724338726343,33.35917270145316,35.206617862129356,39.06858826160444,36.57222578245997,40.995119373491264,41.66097695694542,39.15395536185933,37.28194555935341,33.45204134282028,30.696673653449196,26.35804688205702,25.205850722378948,21.05179001401655,21.032479850153365,20.659536639552687,21.313203018976974,20.54488379399244,18.90210421118845,16.231329360103125,15.785061005081847,17.197372897849636,18.785211020556112,20.342370719298135,25.025581820799903,28.40990878939911,30.690577433617555,34.33560306831565,37.508191830733224,39.154181218725405,43.19573968149096,42.72082905266866,42.17464256811911,38.522117795833864,34.145745644950416,34.396470598511264,30.216916431501527,26.90902887855172,27.472173513325053,26.46064847812985,28.8148250329149,26.323219464928425,26.259221494139222,28.62414400312144,26.526536936131645,25.31280231177059,25.43249140897311,27.638527995800633,25.545288105221623,29.40119554107202,27.17667715116442,31.967508469071245,30.841950214898798,28.530764267250266,29.6943271076849,27.053876367126588,30.389877484390748,28.276762585513126,31.743621538586677,30.846365788444686,30.10008466311788,29.957779481287808,33.44764325978465,35.86405229460896,34.42555384985268,38.645494319761085,40.25716939839003,40.05554754223652,35.95910554940956,36.64733890760026,33.144802907807865,35.30599650547669,35.520452135757026,34.99928491845309,35.97812210244877,32.40614675079074,37.869171551006765,37.86229089890842,40.010880588628176,39.27045763215434,37.844972329078736,42.63555015146316,44.884231888339414,41.72367237538306,41.72576017737017,38.60301181497801,43.37371163360585,42.521053916989466,44.85620234172847,46.16776282489138,45.35659115322076,45.90976297870246,44.81843652838581,45.94664988054527,47.29645562335973,43.228722425537235,45.34831350895133,44.149662129263895,42.077535134757866,46.13639711424521,44.10535948523999,40.30135878973462,42.811502283869736,45.526685886076976,41.27877573097766,39.283994907574254,43.814660148356246,44.89786668562299,39.50718467643996,41.25358058633231,44.22141339658206,40.84453827003395,38.560544310483465,43.013294390850035,42.89423406550423,48.0003618971301,48.08374049162669,47.91287885821788,51.02092647242505,55.43563434688296,59.41002004629796,60.36835338857073,59.7661793127452,58.035289504774546,59.65884806507285,56.203428737479534,60.08603630842752,60.13606230783313,53.81714490079169,55.27654006046565,59.07320597955827,55.639212854600736,52.55236026074316,54.75130135798236,55.91290486188049,52.13316501216398,49.44904107783918,47.52421858817757,47.86265161098831,51.30985816080156,51.255038655571845,51.9232883412014,54.50183323779544,50.603177509766056,48.17390175650679,50.659977657536075,49.4853824792328,44.873428725059455,46.11108667217188,47.72874896730615,45.22183665599509,43.74970577141983,48.75264840805186,48.395349612316075,44.25587838458492,47.07727543954911,51.00416087103222,50.49076049571108,52.78924137542948,51.168237887591644,55.120270589112614,54.55177803867997,49.04219178984138,51.92955434874543,54.279062964166435,51.432779721594336,49.210138822938,55.09955823861693,54.61449615484832,49.34754640658153,50.74405676485723,55.87222057009713,54.498284385228295,50.49099873748267,46.06947222698832,49.958002225348345,46.19152930893709,47.54868438160511,42.053588781302935,41.65399735135078,37.454202390176704,37.19987071405182,38.143882627451774,40.81991222523624,40.270368380161635,42.048666800174345,37.12660184350364,38.95566917988876,34.096151525082846,35.550523862218185,36.35205151657252,38.88440452570309,35.0723418713236,33.22688810881622,36.52099287805462,35.47245228770219,30.32593030002588,31.609239900236748,35.862076752867964,36.45396097852499,37.11067923597842,37.89792889084856,39.23254498525441],[29.36903928093904,29.93262146713774,31.132845210743238,26.68917864653417,29.1419676782991,25.236485865051925,24.019875194666827,25.368475119963996,20.653603479014404,19.563477521038216,18.59834751308423,21.91873536107184,23.028132113629066,18.528564983254874,21.170963337998835,24.491581454143653,24.151962121885877,26.303670299850943,27.771992945440253,31.83794295866247,33.89885426540075,38.550669051733124,38.43942648010027,38.666031665050106,37.01138382228772,32.54193347442178,32.41385390292148,28.74348690212205,28.736093633254114,29.034175493359363,27.637529349612347,30.16186612956119,31.63739816531282,34.364982753216474,34.12637422899892,32.56462871678185,34.0905988641654,34.77013028823398,35.97473153350701,42.35474569973468,39.70983099548657,37.53765926887356,41.847940698751515,42.70788971327629,43.96527026683704,44.88786649215778,48.33991358663012,47.31144242762969,45.70873460067026,50.3127621880391,50.676183268073764,51.044725026075184,51.32827851666931,45.96671049057029,48.870173769854354,51.499488221977685,47.41352440865894,45.2831007273152,49.5322326050081,50.199655170273054,44.71843983108379,44.39356186764461,41.71934884304917,42.06643638257794,41.38987760909221,38.52082447151514,33.45800223861341,30.684573792983514,26.644455873769818,23.59496489953152,22.082756682228563,21.936274585808086,24.72623628088881,29.073339934601652,29.877044573319484,35.614873924438754,36.83042311604973,39.347511883984815,40.23705090216388,42.764217319229616,42.452595459649096,43.65844849251713,42.2439970679715,44.80962888974671,42.255762569790825,39.00151193567109,38.64241776621643,38.87814500712091,36.353702106218265,37.78584604761344,33.88444346034397,34.4127223743444,31.09821834383793,30.02654300420852,26.32199015411097,24.645887815615698,21.41409239927661,26.859976183343914,26.422831887637244,29.666847346018017,31.809656725867406,34.34147183676813,35.65332988769309,36.820411365676826,41.119489797159986,38.14117620910677,42.257274902141965,42.88397071119094,39.85077716870104,38.0451806256392,33.88890537236711,32.01791587994071,27.426329023804605,27.14810814344997,23.684126214089268,24.1913481760663,24.7346691757072,25.71918383285602,25.984502439419238,23.87864215665971,21.048987226979605,19.674875104854756,20.576409683708935,21.203122870106128,21.649396307905114,26.63074879380641,28.817467955450795,31.876513281954704,35.420783742846254,39.10514369891557,40.441163213584275,44.54149714094262,44.67422733756423,44.23956853421604,40.69732311082743,36.367449027792624,36.07293852818712,32.42864402467214,29.441804962181024,30.639995923415583,30.308140048117938,33.335034745400826,31.000832968502575,30.371372330478216,32.929286408046224,30.545914173275314,28.89139650512709,28.34128118237892,29.840776983304213,26.95029159714492,30.112135003091478,27.26895662241135,31.88772304104317,29.73069802150111,28.24655258123054,30.244588100596594,28.259731418605824,31.568922322128145,30.410074912281047,33.67091713163767,33.54325964040389,33.579886175826395,33.595472946915535,37.3509402188257,39.61963404837602,38.039212812530714,41.932707345458894,43.614221206457415,42.83973200523342,38.7490949778844,39.358846259558874,36.06331296125935,38.502654357145026,38.70832287491538,38.22373956628067,38.7615167625233,35.38938879827213,40.74238923228762,41.227663475401584,43.01252724450964,42.593258184773546,40.364740343034136,45.367691663641956,47.83689421151902,44.822859385533214,45.52253094817139,42.800655633595895,47.732009757566615,46.92208181666992,48.855141766815166,49.91210433833429,48.76612225297948,48.89046671845458,47.38499329219048,48.119827307283934,49.02078842048573,44.642599058135175,46.359003833018484,44.55903111744637,42.41756984274252,45.963699742880344,43.772906534431606,40.02959835247324,42.15563951470136,44.541745232688214,40.094099366662306,38.017185979425115,42.272598278399414,43.088121056647005,37.45518089920742,38.99550245524501,41.68451694183648,38.138899962506706,35.7041072208457,39.998255011870626,40.294468407423096,45.178243211001096,45.87362640769314,45.932201737248164,48.80298366612382,53.56121963679753,57.16470907827814,58.58439793623908,58.219532329489574,56.9108830146454,58.83324859185837,55.69858616773838,59.83383295722659,59.574152815970336,53.35347561887977,55.26223742528782,59.092272665528625,55.46016769910677,52.667615836855454,55.31166063743781,56.17755835436564,52.169969977610656,50.204812977373834,47.63546623299414,48.449382558903366,51.67897839717236,51.06562816853352,51.91409530015468,54.09019644062924,50.517883053184235,48.030976603928536,49.842402844103816,48.706596012206745,44.18292864303659,44.978536959560735,46.1799520240448,43.511359865911594,41.93332010023096,46.75678668970465,46.07190381894644,41.666942054411095,44.54256965740887,48.477762280368424,48.25645008418438,50.930920628397786,49.80010013719908,53.84192036797572,52.773081787830726,47.46216902367732,50.862347177682324,52.921663209261894,49.88926853092076,48.25749603829157,54.203950123520166,53.29063499154506,48.18294075619212,50.17266339417887,55.0934584683201,53.37368759320175,49.42565251951021,44.80341683912622,48.61507492582485,44.58906045949919,45.495067195576894,40.061703180875725,39.855931614781646,35.416673627073884,35.23782279171745,36.745425817014365,39.70586067887371,39.63999492403615,41.36210171334806,36.766388474423536,39.10125260208353,34.382771008575666,34.83113981098287,35.83677731895108,37.90524171176069,34.14606586092206,32.18337727680462,34.74590823470095,33.49309678641674,28.847592346213723,29.493562712142985,33.294840896060094,33.4670230590019,34.027654047960084,34.84998719196235,36.07809020513485],[28.80955975005283,28.949112474218317,29.941290166611704,24.895853948743184,27.58145747355704,24.9199817249232,23.91342945928299,26.294326107339533,22.05619618165647,20.63864251528087,20.733583489865833,24.61532020513124,24.5248169489436,19.896574692583144,23.4745340948043,26.498270496993513,25.010118743914635,27.289408002355454,27.897064838925132,32.12648588000776,33.91876755426653,38.4863694225318,38.00735077204936,37.621833115718125,36.121171563024525,31.725833274969094,31.777458746279283,28.404845047770046,29.34612861244218,30.32584186564623,29.931777115646764,32.480542794686485,34.64081282208393,37.158018490241595,36.27264186847087,34.06551121385945,35.510665149031624,35.21062681911612,35.82534400059161,42.11588271716579,38.85585384856827,37.24207071411903,41.679806685114315,41.900228527921186,42.83751341873337,43.214126705735055,46.82953245470313,46.29522742139726,44.23026534364462,48.79871458869173,49.775421665913555,50.311137453863815,51.004170372355894,45.6017090534117,49.20181181243822,51.63103743484445,47.30673273938807,45.84237575415928,50.229926556482894,50.29984802323373,44.97226776539656,45.27791278198844,43.079246025835964,43.07915170485888,41.85144675347648,39.23908780681146,34.15925119066882,31.885897413163345,27.483947131859498,25.223184992951037,23.206424186160003,23.411149876865494,26.770901505746213,30.556350875400078,31.859554304752987,37.846443984378475,38.51113714462512,41.59219578760659,42.01408905769764,44.02727191579311,43.790365296187,44.378570610145346,43.310829649225795,45.25523879076456,42.2757591046457,39.57823633709221,39.326298931509825,40.341945908131116,37.717309784675386,40.08121635818293,36.217807772554536,37.21819445477385,34.14992455851984,33.353878626650804,29.401499248069825,28.40675909339309,24.839864944328692,30.12065265870835,29.46317713456628,32.96685466608502,34.40937173870056,36.487543937612294,37.357151109480874,38.02124091078735,41.71104954643043,38.29477184714637,42.35407588897147,42.370951539478625,39.22914832612411,38.04694534301864,33.65833462199081,31.722042822635455,27.417073394117473,26.4752346533738,23.458685489050982,23.040627769798526,23.970704027150603,23.970227456284544,24.95043111326047,23.841735722065675,20.52251122802484,19.344151262318807,18.850842722218466,19.83215185784615,20.727623863122805,25.15597557815843,27.946466046571192,30.777325036419505,34.33552422192581,38.31869229896091,38.87356380393778,43.249285993039905,43.08918609322433,43.330789611198604,39.13461369514351,35.015383379045225,33.90948690548031,30.256639641071427,26.970334841150137,28.636665692688844,27.55521035141804,30.841029352443396,29.277158908203337,28.852772916204465,31.85927706377915,30.276562982923107,28.324699681409168,28.509591651735462,30.12936766894635,27.690798637708856,31.094666473261757,29.104877682063318,34.07497644217342,32.62734843261244,31.41599971097433,32.86266931137134,30.39562545100103,33.147820685547444,31.82968245411974,34.219761514461474,33.21162822932274,33.60564946267417,32.49989719613032,36.68192093238831,38.09853889926756,35.74647457420407,39.73187387803147,40.84327961226196,40.066647972607946,36.03711761085403,37.13432032890212,34.16202075221814,37.27240100799879,38.07198260283188,38.20189660973367,39.29544929356252,36.36575227756458,41.93726153803933,41.71920939411049,43.40716356406108,42.141666297192124,40.05785580520668,44.59312457686798,46.72001444827429,43.53295441825418,44.46618043283165,41.83384428225196,46.52065534575338,45.1578606208922,47.0468424334059,47.84024295598213,46.966533071798814,46.80967272107315,45.32289391798359,46.115632112758554,46.84874086825454,42.451591036753264,44.4980062706347,42.69620865993547,41.16264891554959,44.73868698304734,43.12949288071668,39.172172274060905,40.77189461519364,43.6208828502084,39.47581367343116,36.556342908655175,41.01802571291092,42.642295832764255,36.76843591108045,37.892653097772566,40.94665970666343,37.90014247242452,34.871949978180474,38.90267025284124,38.74783498366477,44.090514406787875,43.773403637503385,44.259774856965315,47.47001496627894,52.05096780359255,55.78418641154675,57.107440266233674,57.165253988793054,55.79377013453769,57.88714565609938,54.92576421303298,58.77372256132394,58.2052844489749,51.96136145463202,53.98458730027943,57.38788294420772,53.50928983684808,50.84185342327882,53.423530111823645,53.76249495572048,49.72807093792368,47.924729265576396,45.71395656454363,47.115153956320924,50.544106579389826,50.276699672272905,51.57941335493907,54.129129910958575,50.76934759159329,47.79535183420425,49.840175201156136,49.25355586147797,44.54322124682883,44.95489863854681,46.67760133947393,44.25884836042033,42.14675286527093,46.957644608233224,46.71166342604677,42.25531520906628,44.55618206964443,48.533310195314236,47.89159939202541,50.6186030159695,49.43528321911492,53.218251777111696,51.989269887868836,46.50989530633176,49.793959522084116,51.5389424234413,48.394127227889264,46.582729205981686,52.397371070700835,51.17363055721732,45.956204142758594,47.88156912291787,52.6624079746499,50.69112853342588,46.66364484949674,42.06350693788727,45.454609515753994,41.33436261873261,42.777570838733666,37.40236103404263,37.75161367643171,33.668981514750946,32.68238856709089,34.096139961044194,36.66359174664331,36.78725328359516,39.112275341057334,34.870752609838725,37.49843959580306,32.953550308394334,33.97037400109522,35.724913388431,38.09816263766144,34.95641928785777,32.228689688274635,34.88460941075325,34.400864825809215,29.542296215083372,29.411392529996718,33.551281575689124,34.390778907924016,35.247548869468964,36.23817778464528,37.62715855434723],[26.2554113404441,27.065172244502236,28.95236923679868,24.40093954366975,27.959650289118347,24.504508938002438,24.27766992958916,26.394351392478228,22.176865468579994,21.928287534412597,21.884228527646894,25.21183098560383,26.29246025078278,22.05932418396619,25.61834378825396,28.69905368140127,27.93057249378976,30.66536907530947,32.032647119299426,36.02324537338617,38.20958374324379,42.76808239199592,42.60336404594658,42.4011688416323,40.61809014427257,36.1809898681218,35.81624563733554,32.11986519471081,32.58082217446137,32.88009636521277,32.515705634499724,34.44000863838275,36.37889401329339,39.41309400763206,38.739493787456865,37.02816571697049,38.04687586906555,38.53039153176869,39.292156620298314,45.580036764857546,42.78525078452907,41.26096879563791,45.68704719512092,46.13461127191855,47.39162416644105,47.87166338194516,51.50879376926324,50.67782739211105,48.52143638110255,53.034501881267545,53.8306323540984,54.14102562160316,54.77302746425192,49.31306401235811,52.63727921910123,55.432628271726124,51.31687676341078,49.49982432187828,53.939968963997394,54.429207970386756,49.09371123590143,49.243597533595825,46.7585059856079,47.170117398863866,46.08917497533837,43.16550210960145,38.297928959684455,35.599149436981634,31.544927241624276,28.743826919541426,27.15106333947106,27.405627750008502,30.32435006247693,34.49125007190229,35.25585695634464,41.21339417749591,41.984183657118635,44.67923672663131,45.19237423117077,47.40569972867795,46.77127717142326,47.490155230568654,45.859003730086684,48.0017764003021,45.29023817125018,42.47060196200676,42.60689737941575,43.081574071164546,40.942470211271,42.80167253445583,39.10672160177433,40.05253863960425,36.677860565045734,35.40070637623875,31.37375428801394,29.99336790627136,26.393523577505714,31.396165644414182,30.351458809733487,33.055281813690954,35.5100838916127,37.13107707518723,38.81512331780567,39.09368939796209,43.207457857411164,39.575284979131965,43.36479442385115,43.50159450994855,40.019827200917085,38.75637202409657,34.24451065758694,33.03810023574318,28.57582824807222,28.4707708312341,25.897749347843366,26.11965439254742,27.507585196404055,28.052439081076656,29.43529161181005,27.707015953810824,24.500333072323112,22.73340660479707,22.403489873783048,22.590209250010115,22.53074004468228,27.161705130979087,28.797790918914036,32.216509260678265,35.6233337339462,39.85755886774745,40.37125129026196,44.66387592161756,45.052753827665704,45.19395220335059,41.3104525034077,37.23013004228288,35.95646803797436,32.78746830309787,29.911088064815083,31.85447271176485,31.53105880891989,35.14947766185806,33.448953858942524,32.57394812888412,35.53054983163316,33.52694393474461,31.393099592408923,30.90888117389628,31.973549358395633,28.910879771592118,31.671069634451978,29.094431794759036,33.752945383332595,31.431825620816305,30.83683823215721,32.95376935720767,31.102960093409283,33.897125289969786,33.3178469877016,35.72890865779423,35.5194843474658,36.36324416262517,35.7056233842717,39.90267498479217,41.45144783528402,39.26251491653205,42.92649616014317,44.25561572254427,43.05297842386056,39.06592902816561,39.937839284345394,37.06623560184371,40.140128164077545,40.75525573966058,40.742076239018765,41.362674606155515,38.4946050812456,43.881683191312646,44.19347240608647,45.63092899354696,44.83371818979892,42.14082324959184,46.913189473305806,49.28050795275365,46.27868013668748,47.657119997960606,45.309967235334355,50.16031054587267,49.01156498148035,50.59467327952,51.268096243219546,50.064526579542495,49.66402600724719,47.86909662558232,48.333472123284125,48.756798579427006,44.17320798215701,45.786398818507564,43.52679910564253,41.80196062617334,44.917437970365064,43.05969541718545,39.25316100362173,40.644312701845166,43.08002207887188,38.75467080320465,36.00108777199281,40.12278875846344,41.32689278465427,35.37532291083097,36.396416955514646,39.09979929101457,35.842413796138935,32.83673670885409,36.739280901813096,37.04340835194999,42.04460232114829,42.48460627258407,43.05975251020017,45.96322243745283,50.837689221111575,54.2152858361425,55.928557454566246,56.08065488889137,55.07879026802863,57.35973866367798,54.63705418871776,58.727471272080095,57.99067616475438,51.878145830678015,54.21766260993551,57.730241866547445,53.78355334052801,51.343177703114314,54.276907045022455,54.51619359252652,50.3377918670109,49.08665210544241,46.286491848590806,47.90188456523699,51.07593321290667,50.28224110087649,51.60918190365672,53.73405589285935,50.61295027303861,47.731771212843114,49.1657479465063,48.49780883383673,43.94703299111482,44.079901336045495,45.33841124635157,42.764128802858835,40.69473445326887,45.31027439368547,44.710250632689444,40.08803857175011,42.521887786075844,46.4625702893422,46.155220846795935,49.1601774490515,48.39979424773093,52.28228434489967,50.689613397729495,45.45744516900591,49.16018535515712,50.72745906843163,47.48093234741587,46.216865271136776,52.061556897593,50.57265307754246,45.55810203110819,47.97248926108766,52.58123577655244,50.40527351826615,46.48167035695183,41.753442648269704,45.1592843029835,40.883492870650514,41.784727947909104,36.503686269465824,36.879792052192705,32.56453114887476,31.85028830644809,33.75694497026854,36.63169696758876,37.112208134963026,39.19832741226241,35.20520203107206,38.12242526421713,33.7280005462744,33.78044040014987,35.49614688041024,37.391590063341134,34.22122554140331,31.60538902026775,33.589683556128556,32.798937677558,28.495511266087853,27.96586431073524,31.572254249048612,31.932255488402692,32.65034598624939,33.64597056425175,34.8917979561099],[24.86892817643848,25.13537700361806,26.68641330465369,21.64533592876767,25.348915860296568,23.160372370476956,23.158331672981685,26.162210108618904,22.543543073743393,22.084246861374858,22.982056207975038,26.671598393229857,26.73612197840649,22.610277954713112,26.904875265257754,29.642263037876887,27.989267090584107,30.93297269836312,31.767042082331553,35.705662966747994,37.792787324055816,42.1825290640478,41.84190924286524,41.135835115465234,39.349478952017705,35.04937528359938,34.6525340709811,31.193672151726247,32.381656542704306,33.13151331942363,33.77846324504047,35.53192199744934,38.093416162220294,41.015228870950274,39.72953519996176,37.53803970161174,38.332644847284215,38.080403095305314,38.30444033563681,44.414088090124075,41.23901745050334,40.32132656932974,44.80661196362342,44.72223986227513,45.818928303600146,45.823890123918424,49.5895540997671,49.08231453700769,46.462389290663424,50.8674215669565,52.15996391311275,52.53883394775557,53.540847761271756,48.071391195583075,51.94979295964898,54.66379888729061,50.43775426062411,49.162151037603344,53.73147444666189,53.79690141476167,48.67074018633373,49.41921029998302,47.32394978825923,47.605525134875904,46.00096950248229,43.200204495683,38.51950101965471,36.15005321111977,32.003532976576565,29.789090469063655,27.96371585200606,28.69284347092428,31.844297541913505,35.55456386977462,36.505869143750935,42.6786883767312,42.84742150378437,45.96002875250572,45.98337006345109,47.70662998482943,47.00396810088784,47.13108152952778,45.70287011623925,47.264825487851375,44.24075694017473,41.961453878360025,42.32541839723527,43.40547883817409,41.35626595632396,43.99426053232817,40.44560230975236,41.906761299541905,38.69927228654268,37.55626895314247,33.28056190650944,32.53377418904656,28.623927433126955,33.342045164880375,32.04853677484772,34.916272792754896,36.7248794164507,37.842161370156525,39.15791491604218,38.905644680332955,42.430821738577684,38.40998623917418,42.072608255608486,41.64985224932792,38.08637686856748,37.415485052269524,32.7536729481199,31.570414955328328,27.46883375269502,26.86450340209267,24.88763043649552,24.407139766078767,26.253082022297505,26.078348239080192,28.297221602635098,27.270201984601893,23.779953444758927,22.042209634433156,20.499357699242026,20.742173518456863,20.885080765543,24.847594823394907,26.846043844438945,30.03077741938154,33.36758751436722,37.84056678746833,37.626766634587376,42.11125582646459,42.29672450645962,43.03917104351364,38.651811217240834,34.8326682812228,32.813350646330306,29.786758799721547,26.80572599702912,29.206755709099042,28.475999226926444,32.382187578717144,31.368172462936418,30.522177076287146,33.80895916408269,32.46639166072327,30.049800140487253,30.10105574880183,31.14849162278357,28.502659781305674,31.370421091629144,29.63670685898037,34.53359265475227,32.978421618457205,32.61333172933726,34.15885523852198,31.90939126363503,34.12504065797407,33.479910375078624,35.025102381827566,34.11930342243087,35.384401462242934,33.804547080115164,38.328985328946374,39.099033907261294,36.28941527263582,39.891105182367575,40.76030237832575,39.45741903726997,35.584007338920095,36.82497101177025,34.315711948756444,37.94567122916767,39.05977240432718,39.594222526599424,40.64100778786586,38.24956465290155,43.74399881459774,43.47575004081211,44.75185461566535,43.258029364842784,40.616083766715576,44.93609018179239,47.00863408671004,43.91773710613914,45.60460178268328,43.45410540028305,48.07351338193788,46.49755536963309,47.923383910453424,48.316524282814285,47.28270926396311,46.57592317008102,44.75173081549324,45.20720837527151,45.43606943304128,40.85417237704467,42.701439610245124,40.4315203641766,39.26088481056322,42.36395681873216,41.05118475789809,37.091893504409754,37.992937724791794,40.83647050046733,36.84133532860164,33.34892801933292,37.63510019661626,39.592914794060704,33.50386744597504,34.15145856889574,37.20339131946593,34.4690011725143,30.968619975681268,34.6170685441517,34.437878275206806,39.854478541362965,39.304236454967516,40.21923592654984,43.43751675453769,48.091490646093895,51.61847113548418,53.183679331752266,53.68099577341525,52.590832894292724,54.99555536648742,52.42749471808602,56.23391619200925,55.238108553084516,49.1323552819483,51.55153133738645,54.67327502736253,50.53567640443068,48.21544155409654,51.08560959856342,50.87262001397731,46.68905429839704,45.601319700068416,43.10905082299504,45.237783885810366,48.55815472005379,48.07848767008067,49.80615109772009,52.26651747709148,49.357393066839656,46.05171591455445,47.70877840261251,47.556344394600124,42.866208633352514,42.66044652263729,44.426232795316174,42.126777958240154,39.583273128357064,44.16354892741528,44.022661774146584,39.433655000209676,41.293348652664214,45.24146306769678,44.50610304507173,47.49458652318909,46.64603846402869,50.26187535858218,48.5776937644592,43.20595026579337,46.743379356479444,48.04249973426632,44.72854324305021,43.273391438849046,48.9696325432644,47.248691474241454,42.149761675953144,44.470337165911566,48.94827495435476,46.59279206066452,42.612235139047186,37.93401964548969,40.991239756179645,36.67526657974355,38.06471498876468,32.84203326651426,33.67761503356816,29.742273232531304,28.30213179792354,30.06953649144829,32.57482362692424,33.20178610817693,35.79125267434855,32.15553128009913,35.30859082187447,31.145532889698938,31.69496304808692,34.07819977069911,36.2435472698617,33.70698601758351,30.416108007910065,32.49530167822794,32.4722747273497,28.014046905679827,26.800138673254878,30.713220657457146,31.7771275847421,32.790182224752456,33.939895117136984,35.351415411882634],[23.31782494071644,24.003455684303884,26.424994768385837,21.801646457912618,26.53939429349861,24.697193429971016,25.71395502207252,28.963884342314092,25.91447463896648,26.319537785894905,27.554664219731904,30.90381487563411,31.335069278735297,27.62824920145924,32.13948872358108,34.73029835866564,33.156233679370146,36.427038508086554,37.41788226203893,41.181284449254655,43.40611930872454,47.68496962686486,47.40176620709464,46.51557730680473,44.6178768246934,40.41086673076537,39.78022253755987,36.3041540333747,37.558210151740425,38.08076292759767,39.205933687047285,40.45460151107103,43.125626712888455,46.332090626635676,44.91854493354143,42.84083114921973,43.22914486342621,43.120659106458696,43.133774393006604,49.072027230869175,46.00337399527456,45.50789751654323,49.986129335121156,49.725099859506834,50.89237934550789,50.65166126757874,54.477137249022334,54.020436471476806,51.0673287890404,55.31512820406775,56.828257186735854,57.09559215069122,58.297496829186734,52.818679381400294,56.823759676177524,59.71960298824899,55.58230905538116,54.40110101010464,59.05305959780979,59.13690192167793,54.14052170209028,55.095625634693135,53.030784339571234,53.4562708805224,51.70304624768645,48.81456601821116,44.33610731487982,41.90757735637209,37.899598686579864,35.658779903616,33.93976498225455,34.78586899626176,37.85334373963206,41.579709182932596,42.362355757631924,48.57749875591033,48.58158512817766,51.640119795525116,51.50644552982913,53.112493998506956,52.11769008964669,52.00590303281309,50.292695427268484,51.633949328472866,48.64565337153409,46.63233366901444,47.39455770090358,48.42221798705539,46.75267649160557,49.420211948758364,46.0518898151305,47.665826619549435,44.35387154088073,42.977825431717676,38.5885242987026,37.83566804042351,33.83084044907399,38.19597558407413,36.51770619087956,38.77097693497839,41.04656413058512,41.468326747662594,43.24235242568525,42.321491517268946,45.775062292391446,41.33909995042504,44.57829310773483,43.83438725092302,39.919719656986416,39.667235043488695,34.87490202819099,34.46636969484361,30.608264460867368,30.414426662666763,29.23239263563262,28.80855754387425,31.166490230951027,30.91438756073339,33.745422046527665,32.75740751964281,29.251975747081225,27.25337078749157,25.24028072227257,24.97958556378072,24.507171246842642,27.974329924679875,29.06955071204364,32.53238417124618,35.55951133984958,40.3693940344556,39.5013634851413,43.97798134236669,44.53490669287492,45.67358011256231,41.24548932448613,37.75829695996218,35.004268822181565,32.64971954170117,30.04182713610566,32.934475534891156,32.46456592161057,36.69308636057824,36.079998957576954,34.98609549685782,38.38917559856432,37.184889650042564,34.517868607484864,34.39949246421016,34.969803796935615,32.13259235979108,34.410253425901274,32.736408138511415,37.364131356923394,35.4738108059986,35.86795559292972,37.65600629603934,35.758075904227915,37.61067628007652,37.57042745749437,38.556270310092714,37.87832030349922,39.75112383865646,37.938085033700915,42.615704643207,42.92277969902728,39.822065957689325,43.0449146351228,43.68504682023904,41.954527272273445,38.30871801810082,39.643909745445214,37.57626322055977,41.5256809040045,42.83300043228629,43.61887094794166,44.54521214451365,42.53818443740234,47.883400129190726,47.67999207127756,48.6290016826508,47.06233576991805,43.97588264689532,48.10237752664825,50.130760289445476,47.17424574610008,49.44177875352914,47.673831442746774,52.1972713155075,50.48147815384663,51.53887288982857,51.61037417318189,50.45561337773275,49.290727410988104,47.189084643534784,47.3165663227193,47.0523854206896,42.35825904232595,43.932242484435754,41.18506905487134,40.35750542915855,42.85044574549726,41.78997066425817,37.95165201412711,38.0966430929038,40.77316667735744,36.96490602647758,33.015103182773686,36.912687731643615,39.057621901610254,32.85866411757051,32.92547987317142,35.785227568178925,33.381155871120285,29.448618086790958,32.487825618711696,32.44972604023536,37.737371076677675,37.14299931837371,38.60467337786893,41.69068962270267,46.45372176292405,49.589015017574454,51.538781974110165,52.5494897683317,51.871068098451886,54.61954229982221,52.53354874810294,56.31263371875678,54.85329306517299,48.99488047313321,51.849126656094555,54.667584390003206,50.296861433813085,48.41232218803222,51.59173652764822,50.787184815777245,46.48430531866185,46.24273922091073,43.422926435504515,46.270327105152965,49.38964909397526,48.602701824195485,50.70816299841313,52.94735075699952,50.53869413180818,47.01244744247049,48.12535055365029,48.34255723725443,43.79426414977911,42.947209168250026,44.5748509527278,42.371898597431084,39.48797995438654,43.691236428338364,43.52478200665195,38.824721101596694,40.25201977898867,44.09360005503934,43.39208234850943,46.704677915801845,46.339287179735194,49.76687914784416,47.52152817610738,42.417342117532634,46.28068926039723,47.03776142383583,43.556020740755045,42.65418192382923,48.138807076203,45.810742150839936,40.97510779201732,43.806122989846635,47.83580773522073,45.00937587162658,41.16604829433085,36.45339929283008,39.00414149070969,34.470527847680195,35.66544401582354,30.787093349763584,32.24807606743351,28.546029246137113,26.644746755999403,28.922190420412175,31.3205890109525,32.615065416082516,35.40629100811826,32.578440802705316,36.22289283183527,32.574408062918145,32.45314513796132,35.33106418401072,37.11823486443103,35.15821601952387,31.523844715250785,32.79479956477352,33.08807445593435,29.328705890031205,27.049241174145937,30.391586069401637,31.451336825879768,32.53148735468793,33.776360407932664,35.09092838888724],[20.538492283505906,20.526122773225396,22.24313736183003,17.26052081696688,21.722400045917418,20.598108886434943,21.566098901011998,25.233539377057703,22.656265809501022,22.953663401496716,24.771911302247688,28.197091577863183,28.020934230591976,24.640363932776424,29.51498738172471,31.764681227147555,29.808663460427173,33.322482782513426,34.31554873207202,37.80020409236864,40.176173965930936,44.25431680863549,44.11211091042914,43.068567967806324,40.943372222599045,36.86230174350812,35.94769284569662,32.52959439450441,34.019336183099846,34.611295251491526,36.49994245947,37.398519620546466,40.46479184763547,43.66455949008059,41.83485711046012,39.594681065700584,39.670946940598036,39.327405926219726,39.06323047219761,44.8123226099806,41.786988247980034,41.697298782729796,46.14376327409351,45.70647862434753,46.9999233664902,46.608400994136055,50.480341306933894,49.95930201577008,46.751570308161384,50.888356765277486,52.50257596814374,52.68786920716287,54.037792114811,48.57982878096924,52.750639855866005,55.736422190435874,51.68152247496854,50.677833109212784,55.40178152047353,55.439758175943176,50.63375090357536,51.942039201857014,50.03906313438207,50.65236412008245,48.573923283776985,45.5917451219465,41.494392684737086,39.09203164140528,35.337353322952794,33.314883291744884,31.725506973952115,33.11324759811127,35.96069927023338,39.44122137091418,39.981694441573005,46.30067293772695,45.78120789242002,48.96227387493483,48.44298910302018,49.73238682009088,48.53152872505279,48.064468245461825,46.33794637963765,47.36398365070351,44.30448238105111,42.59656722550184,43.627102823109816,44.867568027823374,43.47442530128856,46.52265863585513,43.407279079826054,45.470002287879836,42.22139399149829,40.801263842791705,36.24795932561104,35.983642340003776,31.78820509964124,35.7330424910991,33.845841261091685,36.153304813456714,37.939024611290165,38.001653443781855,39.53401602012572,38.29572282908639,41.394086229296846,36.819344229884216,39.99234059444962,39.02429118034178,35.15098103271553,35.13510767100859,30.344589902867114,29.895689193362625,26.297796979747737,25.90872965474682,25.189796403516297,24.563430862797155,27.27296274883448,26.904226963061056,30.38536787444617,29.50141122251302,26.002735244115257,23.83067247402224,21.26104005567225,20.73670925845683,20.175236396677015,23.19376234503699,24.391931030937698,27.68079855009726,30.65442693488943,35.494632077299414,34.40875896220418,38.92651463006512,39.399385793734545,40.70859489512738,36.15879081912623,32.79107261077039,29.827897074718365,27.5875932537867,25.089877322066595,28.164061692236487,27.899211214823957,32.323376357560335,31.91477908347817,30.62414554351461,34.08994531353382,33.10844957207165,30.284107434236468,30.29907337130748,30.753457761741597,28.178237688411258,30.47109255521746,29.377142836645266,34.10267196451383,32.90520684566772,33.307101258359396,34.60336714447124,32.461938247545994,33.908417240439526,33.853985869303855,34.30902082391697,33.35742123402256,35.51448660535177,33.38209492496859,38.14552277329105,38.1539386784303,34.93462771271689,38.008550506309,38.622190547732735,36.77641638358923,33.17556041954688,34.524990116447505,32.60212282305646,36.697259001952766,38.1617735101961,39.17795861593658,40.245748626764446,38.55440477567525,43.86206833611947,43.40767523525834,44.21803884039665,42.39952075792126,39.28470404249365,43.20824173207571,45.142590446487276,42.20293326838334,44.66529024126496,43.08987528806804,47.535713001519646,45.76736566812297,46.6441252593363,46.6026950944808,45.41033049016519,44.129428746622835,41.99004762879139,42.09807211889711,41.814962106151526,37.13557572542205,38.7969355754743,36.147336255147835,35.45469335635288,38.09197604345332,37.22443002280479,33.30136116865172,33.44355127240908,36.37246870581236,32.706173714975726,28.564417391024183,32.69134854345747,35.17469077291877,29.009546832854014,29.137399257552598,32.300108704452526,30.101373095163108,26.12997402202317,29.338325281985004,28.896562861871324,34.479462792639474,33.35930850176808,34.65076329398517,37.96954183369255,42.531618569913384,45.97909242957064,47.60771373361089,48.50838913846548,47.58280701496745,50.22978472139291,48.03104644886496,51.67632370703663,50.28790374977687,44.34698954645306,47.07304777497046,49.83964089052008,45.491455682535296,43.5013923767657,46.56744382329474,45.81669679815041,41.55066097678448,41.11271894423203,38.4681829660254,41.30654141936912,44.52273625199215,43.970657955484334,46.14853372002985,48.62929104982808,46.19356576914243,42.51868886059879,43.93413078785924,44.328307496282285,39.68252125087468,38.866853545456614,40.863874033199764,38.82993962427423,35.80324464142609,40.119974179676305,40.29190557714941,35.730639763234095,36.95997666383379,40.83113574665456,39.827174431008565,42.9336432972834,42.28378886776085,45.6267898491709,43.617434215830045,38.32420822197428,41.92921824364562,42.80428187729376,39.385647316474255,38.13390698128904,43.63733724232705,41.518991129313825,36.5238972145724,39.08853316998129,43.2742944037877,40.630654284546296,36.700913697359816,32.023227287366865,34.7729633145196,30.36000304224545,31.815807700889362,26.746849762872177,28.044040313739682,24.446537284702252,22.438453720429557,24.382961627333856,26.712051433607037,27.756895595712386,30.623785646646994,27.68162189935944,31.272614024327194,27.648422282913604,27.93333884929272,31.016130296595655,33.05765540230432,31.36973015986837,27.458543901171115,29.051020753263785,29.76138662616335,25.73278747846062,23.399904013262805,27.144191753614702,28.733189301460012,30.001015254259812,31.319435682487768,32.82005945674406],[23.757734836417068,23.549310257633458,25.126771922243858,20.14421227293249,24.483617084679523,24.32283817268844,25.306295609149938,29.243422409694652,26.8901442492522,26.86676832393009,28.83431961328392,32.42717054316123,31.77184216983096,28.306240957094488,33.2160536083933,35.39881440727832,33.0104501686985,36.29550533408549,36.7038644643189,40.28326944963597,42.32954824174122,46.31793253117984,45.86887594236017,44.500356123310326,42.64456065118231,38.715673508228434,38.08564469792829,35.00823947664013,36.95275396549714,37.95418716727899,39.964234683480704,41.10663189362849,44.30820323486562,47.27058364496295,45.29427407608872,42.760371589445235,42.978370388709436,42.07339191727709,41.540457807844504,47.13831767533084,43.71709724709781,43.85001871175846,48.27276801533239,47.4653369585852,48.432408425865226,47.702202502183276,51.584614459165735,51.47680165357164,48.10908141864841,52.171249019885394,54.17073090216042,54.53180191151115,56.08374997027168,50.701842795610034,55.21962121952433,57.95148768391935,53.75645226953741,53.1657614037923,57.86370139579395,57.49188804089643,52.79632603438924,54.34254051931591,52.716350234809084,52.99315013226734,50.74493010843931,48.05018469316442,43.867075327836574,41.83724387542293,37.867219824544684,36.2691473058821,34.39999684057402,35.66278343268804,38.82796412075526,42.01273154296988,42.95764852410225,49.24701801445113,48.65651523929071,52.08801694072029,51.47582478760382,52.55851944535668,51.557636642701574,50.8515895399589,49.44707056283978,50.158925650623594,46.8897821634212,45.47958813611127,46.40024384501294,48.05393470767774,46.453980367133866,49.8585828459973,46.678729450660384,48.75603624848279,45.687214218979484,44.51380203633522,40.010570431676186,39.87814172996911,35.71540995259822,39.768510780195044,37.99456698123525,40.50721613157825,41.94472895956403,42.004712824818135,43.224124445926485,41.90979790732594,44.61644135551408,39.96403434195875,43.052678949859576,41.73239109648575,37.91991506463628,38.297913890046146,33.5495341748342,33.025021520780165,29.745689710041407,28.922928715531565,28.354501253342523,27.194714447127936,29.828807542728914,28.833799263448125,32.34447795642475,32.10601726584224,28.54137037507052,26.742802263198673,23.706906544695567,23.56920952515697,23.439695247227462,25.887077647656138,27.4837235304613,30.406677882912284,33.25828727594899,38.10350950696819,36.49176806677249,41.07651002362402,41.28833974826363,43.0563972476377,38.15141345119152,35.05318969969913,31.601694633277187,29.446656193625216,26.822631524895314,30.04554472726131,29.10498988084156,33.43352088434691,33.592792392525304,32.60358469051113,36.20274832915099,35.754630276347676,32.94292956685214,33.4387855217952,34.05013535064023,31.850000629463764,34.26293076765977,33.55588473772197,38.31859178930564,37.394828502934786,37.778669521904106,38.86033387320308,36.53184198285881,37.795761114019605,37.54625728762926,37.676377687489214,36.19666731613539,38.359093181355234,35.624208458675305,40.47405572961137,39.9537813460599,36.25854862646032,39.3496619690303,39.440328415657746,37.68926453466389,34.27410757827583,36.00902270117899,34.40115354755666,38.82005387305007,40.6287061871921,41.96662677789303,43.365353509275074,41.863355214272524,47.2113116526886,46.36029666960488,47.16990474071419,44.866264803036735,42.00978477029164,45.53151808568752,47.170206615338614,44.15378300493408,46.6293985670861,45.07436713660375,49.24142611407739,47.10530210755475,47.997415410816444,47.783633363905444,46.877826580109286,45.4370451430481,43.39195168825142,43.564469480167226,43.153981577443034,38.59642617483722,40.489414906299324,37.90065572881505,37.74285420599567,40.29004959476604,39.895406181671966,35.956679886372875,35.63708563688004,38.808696584763595,35.50384095302954,30.845346374334966,34.91378323702123,37.93190903214895,31.817195470965572,31.535353011341666,34.80578981701997,33.089612535179754,28.812266864991976,31.53386445076949,30.784358748576757,36.50062277260641,34.555323090012074,36.30785479310545,39.78204920740025,44.114362316683774,47.508663832502265,49.11659264741324,50.418573247886826,49.52101564720934,52.2898373280083,50.30518302034836,53.669283984036724,52.02125715822752,46.20125825927453,48.99758352598861,51.345025247464456,46.84701137009459,45.04638112350907,48.01443228087031,46.76785901275285,42.55786322057102,42.349125437496056,40.06983323951145,43.35609734159135,46.642065820029934,46.3474841781299,48.816292480675735,51.486628271068675,49.249071533901244,45.336592993541274,46.84531177032316,47.58910009192103,42.94499553631373,41.87835778650682,44.12881203505978,42.29235266363617,39.013029655638285,43.15957868090453,43.576223438803765,39.08988789972664,39.88320139677642,43.661180267759825,42.418695987235175,45.5364373252428,44.928569760817645,47.9962896778077,45.83662045673657,40.59027046937276,44.058003512963296,44.593217370560644,41.138823231051845,39.85532806858562,45.08357798707491,42.64424307738394,37.71909035898203,40.23641742696277,44.13127980916628,41.21872836359889,37.32332302419484,32.79039944151657,34.903929069242665,30.44543520455703,32.39626740199961,27.657419481511063,29.597843038625765,26.552308106756122,23.774884463488302,25.62945350025243,27.398529438308866,28.73712138039083,32.11681618369399,29.71973514318425,33.43361438055695,30.141749035218965,30.807519367952892,34.27313846213668,36.4116036861092,35.133301208658935,30.955842203525947,32.48467183332654,33.59654298988646,29.67466028862063,27.00274022393015,30.672946116413723,32.517277815515506,33.862579336600454,35.17999793644235,36.65526614958693],[21.90327305219062,21.423996041867234,22.95038130138461,18.292790034994198,22.841000934277183,23.476503707965097,24.971294145590893,29.135798002241195,27.458702153810286,27.825099769910633,30.20663898416323,33.57295341181791,32.803007179471685,29.8264503039214,34.9257259626707,36.8109645654855,34.32633594806035,37.878396022257,38.41967748734636,41.67573545924182,43.89176449790121,47.65699624838878,47.36000457908089,45.839701952553504,43.776000471806746,40.02441115866483,39.07489726391869,36.05563514713197,38.10440275598864,38.97573265550683,41.645199771265446,42.2846802442616,45.727970699575195,48.82686206665932,46.56500270095268,44.0480678016279,43.840746340003975,42.92304060153966,42.12500670829512,47.429503295232756,44.170272212941256,44.79494539214668,49.13996110683898,48.15366508468703,49.261036892592315,48.320978244017084,52.22741846310958,52.075202125486015,48.382181773161705,52.24041188250224,54.392395792800926,54.61851814577575,56.35930696269273,51.03238953895005,55.66201332102924,58.557219976384005,54.51374185083247,54.06395689110143,58.818076162336325,58.462817547142926,53.994359597767996,55.844552762639154,54.32257592588001,54.82515441501507,52.32764464057552,49.52488724527008,45.73406401658413,43.67254920621426,39.99085265413865,38.47423805031051,36.78641448764999,38.39881889779643,41.33473619298636,44.39548414791792,45.06225953152429,51.39086490697763,50.41038456399079,53.83643287577269,52.916553642175025,53.74676554628904,52.44509552841318,51.40161391890598,49.81888686439133,50.20869098480355,46.96684701573855,45.91007861690456,47.223433981792645,48.930923187290915,47.74575950590763,51.33607118631754,48.43655611308652,50.8417268101556,47.76094897423011,46.42718391797392,41.81251097213978,41.93958173075813,37.67055363914805,41.251867834852234,39.177877276661405,41.35122867630613,42.739580078165915,42.196773933566575,43.515947416885716,41.64307978619017,44.04548028678686,39.13141614767407,41.855839630949546,40.20554232050276,36.274286594414434,37.07435749787974,32.36808825522961,32.30778449485056,29.449922021873082,28.778325048123715,28.960776837985648,27.78014542285718,30.82198588263514,29.791761696519334,33.92667039127042,33.71100354958912,30.237977902110423,28.230852412259555,24.796867626363408,24.220894689336568,23.6933919170885,25.442167995948623,26.482845799225395,29.338078223334367,31.861681059275185,36.824908419452306,34.667298639531545,39.186177388243436,39.58049354900554,41.69064547231183,36.77066942255668,34.03967141339411,30.05189430336392,28.49662164250091,26.29661011831127,29.825822088328064,29.2467768580381,33.77893770037727,34.265954312616,33.011704724648,36.62225328214454,36.36971621589104,33.38558499344938,33.830208178560916,34.0764871801588,31.98268960272963,33.999342289017086,33.699633503819214,38.25936252071303,37.59353456110232,38.381458182972665,39.28371308077313,37.049580788626265,37.84601988733117,37.93699241632433,37.424131764748196,35.952365123019135,38.606159528300424,35.619182235597094,40.511756938625076,39.54598389882571,35.68428087946752,38.35986147349449,38.29755795689857,36.20569517993144,33.049386028797485,34.80741703449847,33.61960729367904,38.22766274683606,40.21427869116803,41.81808680714398,43.20017982512049,42.13791507845615,47.294815886687644,46.351696070453926,46.867804490747204,44.40612094382684,41.29560274064953,44.513567640572354,46.04570386013547,43.172961750960425,46.11031514524145,44.940324743766496,48.95739706411676,46.75692260593688,47.279473954016886,46.78820277111784,45.77644668039328,43.97620623394231,41.74517022386653,41.67954140231949,40.92841074143511,36.38041909865759,38.11833564056607,35.32024775324093,35.513401943074115,37.70721869713486,37.64283662611321,33.80473250291853,32.96150029498387,36.15681402162187,33.16973862458979,28.145811499817775,32.01640191332166,35.384345989361606,29.37522312480308,28.720557817263334,32.022169425535374,30.760027420800352,26.272144990445796,28.579210765376494,27.592754868568324,33.350531941779394,30.91856087448165,32.9334960098931,36.45811734758472,40.642319472237915,43.97768206992681,45.58388308384755,47.148944365301176,46.35073984963709,49.25039542271098,47.52415249601495,50.735037384596225,48.84316368138414,43.18650278393621,46.15153168885842,48.22965150930647,43.626069936316014,42.06892957221765,45.13072546963308,43.52168922754785,39.29782961089944,39.54170530547231,37.20797682579861,40.93683094394318,44.1151560255151,43.79564896752653,46.53492320572035,49.20586416138266,47.295573115809965,43.190592079138526,44.54592224881329,45.64268258666987,41.093981639060225,39.65563447236214,42.050965734266605,40.43249028506692,36.89390526546455,40.79766438699374,41.443241557667854,37.0757194712375,37.41406954502428,41.07532999890156,39.63935247112514,42.771655281613754,42.27954661360402,45.11352995947937,42.77895641868071,37.643390127286565,41.08047474410344,41.318667894076455,37.83840344076268,36.68319439275039,41.706217156827115,39.01674677453086,34.21039402660818,36.84889616424656,40.499438454133376,37.406810781390426,33.57958375798239,29.112767552484364,30.94307215261529,26.454419005606002,28.5043803469158,23.97498801219124,26.27600107815768,23.63586572021513,20.41990782506006,22.316255488175983,23.83569549409371,25.481526477527822,29.03142480650677,27.225477961926956,31.139416234497077,28.32461841667502,28.840223932967852,32.682538895703594,34.70716624995607,34.01874154236933,29.56900788804549,30.759690182487955,32.34046892827357,28.790667256168287,25.53014183988351,28.969922191798656,31.134153136466686,32.61445126026582,34.00060502500376,35.4993771935676],[21.03164947227059,19.854044378394267,20.407312868032992,15.402450207771102,19.222715562927046,20.597891856995737,21.76297037487308,26.1392070176237,24.8109093175108,24.879797823456475,27.59344723833392,30.98696098060454,29.653593283297123,26.954899780094262,32.14347138016872,33.74004564447089,30.965186210350183,34.56194750241092,35.04071977437601,38.05471089379057,40.325510508899015,43.91038279472292,43.71128450711236,42.10814371046033,39.90602148668604,36.28816089550039,35.16905780441262,32.26432918713112,34.489002174534434,35.47108563622609,38.605103199469234,39.076007204930434,42.74961354814875,45.73544442924736,43.20755484561757,40.56274587638119,40.203020970077205,39.05082583289062,38.06233246499317,43.203041369844144,39.966706740671704,40.836173556485015,45.12155553381966,44.02957877764901,45.211615147906706,44.20587796613536,48.115424417506205,47.90260127189041,44.096216465773615,47.873083201215536,50.06050836731532,50.24507380713401,52.06200039997247,46.7760286870263,51.49569408931878,54.40143885217701,50.42073197258998,50.10064551983789,54.863995823480025,54.46891412885021,50.14678505903265,52.2144166334753,50.826185068295125,51.433064004933144,48.73752198896404,45.91031745081265,42.417145538976165,40.42466898225656,36.970965012319034,35.67292886573726,34.09497013557037,36.05443548646797,38.78753567562229,41.60157942615527,42.11445294762426,48.42574183594818,47.09625603004158,50.594593730916934,49.42330450732794,50.02381745532985,48.64211904081399,47.37355653073768,45.86861140806898,46.04296507742579,42.74379224562093,41.896190060341,43.322785470048856,45.20960019069277,44.16409772889055,48.01219650974416,45.29895590220249,47.97581729102134,45.00733966880931,43.71352604901569,39.08054990481388,39.5673086957727,35.27311540951436,38.54075727675144,36.4347183236083,38.75074801777955,39.62874427784702,38.973755405024725,39.96194486215163,38.00872392869843,40.09447518402445,35.198371482995164,37.95641346003506,36.188000434486156,32.40789887318045,33.32398421805728,28.69960582431795,28.40130945046598,25.803692376620315,24.8272296053401,25.290093366200495,23.88712494030895,27.073080033504148,25.923812417064422,30.4398393872258,30.343307622341392,26.97116110295863,24.95538410689385,21.1765812271553,20.501047143204,20.0805071462907,21.33787149424662,22.725053701045383,25.254688956674666,27.775833238148387,32.65921480968146,30.445382097287364,35.01266135152614,35.21156106991744,37.39087176147216,32.35079932296794,29.667664065160224,25.625982961901393,24.02691125105805,21.852539218693565,25.44866649427285,24.961653111948014,29.570705204783366,30.188671426153274,28.839980975634603,32.450747783843454,32.40182766415707,29.376574647962368,30.00576599610077,30.261572922317903,28.510330985418626,30.64358098721869,30.839097765150626,35.45514732338502,35.413761703173314,36.01586358516008,36.468047517337844,33.99521878618671,34.52420786511921,34.45173684720494,33.60883304374978,31.82148070103013,34.559501558663236,31.331607011558276,36.231668393064,35.0809586405717,31.16591925036972,33.7956437535964,33.74213615934845,31.650748503175322,28.476864863914944,30.256920126094727,29.121320059540743,33.79508621386629,35.88929620467287,37.64188554845801,39.18021749114247,38.31092150772441,43.42518920775255,42.251085427097195,42.72866392850062,40.061046136186995,37.06499594868634,40.124628728742636,41.57298928465058,38.67793915694387,41.63290028917087,40.5396417439956,44.48851953646971,42.27452682433123,42.73519004377716,42.22308769158839,41.219004202774165,39.432410184426345,37.24341560828426,37.25716155278112,36.62652179727644,32.1096217892887,34.030509665409134,31.466796747852587,31.710738346161452,34.21777953164433,34.26701031668183,30.330918309863865,29.69588865281597,33.17190659600472,30.281976443091075,25.235163383615593,29.416375382573662,33.00768840954218,27.125588075831356,26.705824615370574,30.29092083469493,29.11317258721156,24.80641416643891,27.40981806057544,26.04745672002581,32.027487190960365,29.19412046973954,30.85428506811917,34.6008543916053,38.562630633576596,42.27140236249633,43.48579513090104,44.78048394261499,43.642018910435624,46.34218180096428,44.37007194057542,47.4763352206755,45.79183022892124,39.98476403254927,42.70146406513908,44.8308469225775,40.31504857400823,38.52068810075273,41.387862510214,40.007641305995456,35.84104823244483,35.63219950331169,33.569986699839305,37.08825758813913,40.42051462793836,40.40522495755469,43.0926216211328,46.028545809028145,43.95361104826374,39.799102334786255,41.56863835886913,42.69818168905261,38.05306131027895,36.83458679644816,39.56252585055355,38.06478833986421,34.54119882792376,38.617811255552915,39.53112876244289,35.34847766370381,35.66223950842341,39.34992767820907,37.675891886403704,40.51952394021785,39.64424481923174,42.45697233086061,40.50570626355127,35.147765904416886,38.24483193063254,38.75869103157034,35.39816344762026,33.75168475454658,38.85695730957648,36.558144122545954,31.522916913148038,33.741087100039394,37.68947768084909,34.92425431270462,30.967545492118443,26.547314688249024,28.740239096914294,24.467342744292825,26.82851143500081,22.031875497698728,23.946123860565237,21.381175617156156,18.217898986575246,19.55204213690276,20.998158205453112,22.16285212790715,25.76508447606655,23.621828381419345,27.34125084816173,24.437795524034552,25.564336299003855,29.439286641262182,31.775810787259026,31.183755931407443,26.648729536018248,28.31776426176399,30.140859626981555,26.269296150379517,23.312658418121224,27.164618848823235,29.714271779004466,31.299116848513638,32.69538999496501,34.33015105763736],[22.079082422269792,21.214673596560694,21.86744963884157,16.512978454626865,20.12617626360289,20.452388901233114,21.03690291406109,25.1736996640332,23.091410753463276,22.75798776502919,25.08192089402606,28.731440943561434,27.52440906877714,24.308671972552155,29.373408642922612,31.27939029003938,28.620323076077735,32.01891537955588,32.461935476995386,35.80587081016426,37.982327043311926,41.82703590099002,41.53223203576761,40.13396071866517,38.072956350473554,34.21993712450238,33.36483319089574,30.314378700051613,32.38188129807461,33.44839672859131,35.940266580528956,36.88094858005117,40.326311567688315,43.21917499620246,40.97255397771129,38.332573280901315,38.37872861473934,37.31458231694267,36.637909066137915,42.13529905961376,38.78491517668879,39.11454316575413,43.50595240079599,42.657756589048226,43.7652722255962,43.03432765522771,46.93297401505145,46.685609408586956,43.222989833510724,47.24249470973188,49.20643769570882,49.497007379577724,51.08989976231086,45.71614737328631,50.27521200824671,53.06895785019889,48.94686710373306,48.412089233019884,53.14021976652382,52.79806256961905,48.21445323473867,49.951666087113985,48.41120444890568,48.857773695016554,46.42095879792133,43.63581028754691,39.75576421900527,37.72011357432592,33.99740655116365,32.55127020657733,30.83009700660118,32.521088897032506,35.433432304141064,38.42254736012281,39.1352607685448,45.45227426681221,44.492176421411074,47.9774904567331,47.109836453956554,47.991815546965526,46.873765839484946,45.979674195860376,44.601578140833375,45.15909156524476,41.85378385485388,40.585913082808226,41.63390664173984,43.41360290131505,41.97829946504225,45.61610636302635,42.6269141415524,45.0082956980601,42.01592552871764,40.83878682510415,36.27689956906186,36.52028679608937,32.29119475700244,36.019185583013304,34.185935202357726,36.84829942190051,37.79474805466946,37.7569234762748,38.67649265025009,37.312484690620956,39.782186014382525,35.16574848635646,38.33431655866621,36.97687877544147,33.31468211506536,33.70870161602952,29.02413588209471,28.22217279912341,25.097583507559257,24.003740811232255,23.62138642835706,22.29984583732039,25.10601092467531,24.087047732498128,28.016350455679618,27.78576224761949,24.28414732384405,22.387687350774222,19.01586306339912,18.747775733389634,18.71079662976617,20.874278335175013,22.846648399366035,25.52320335182466,28.43652242850952,33.1944556163822,31.67336193096683,36.2942629341789,36.34390799565598,38.07066522399062,33.107801668441844,29.96700374187181,26.61333032059413,24.314231596324863,21.663545665799017,24.91079827754899,24.14886472292435,28.59557772559012,28.754969989700903,27.62049030348325,31.225529648170216,30.87678100043993,28.006266006251632,28.6223511712975,29.252305133797503,27.327607207150397,29.89268830172363,29.62336428115265,34.47743288469674,34.169927727953784,34.34723203609512,34.98487940562656,32.40827232692779,33.44692838054606,33.03331655013687,32.910127909698105,31.182897917024896,33.40752385837943,30.531974169057694,35.397925077467505,34.81571745747027,31.159506889874255,34.247684058274,34.464257138171504,32.729042285921714,29.23177218346481,30.91125861807945,29.24592910548885,33.665267320362,35.514307015522036,36.93578056194476,38.4466805002515,37.082673057778706,42.412577364855444,41.38893826354545,42.17709451835623,39.74908327049414,36.97426552807585,40.43504452020851,42.051695696646085,39.013595641337396,41.47773334713162,39.96904406490961,44.139452844774574,42.05955831834667,42.91139756427511,42.72466420124696,41.77813775602978,40.405193392112324,38.39824983184072,38.656833695915196,38.41757037981823,33.87790704645065,35.9164236370865,33.57030339095069,33.33632960122101,36.228426670324886,35.842121218000784,31.8070982341647,31.81347124454913,35.207782078955276,31.922888456881402,27.364940038542183,31.746181885937954,34.871408814952126,28.871612399631875,28.905216215707515,32.4311066656498,30.70664198315045,26.65804289528699,29.75907585638806,28.70473599357144,34.610020863230304,32.432641986911904,33.757846230411204,37.41389567982793,41.56793759470478,45.332796238585864,46.560693249289834,47.52082373089068,46.281258667049045,48.82460380693574,46.55294542528624,49.86344958149424,48.47615360720639,42.49230755872364,45.0185528358367,47.49840619216688,43.127901392237455,41.05571876420384,43.83983651191729,42.928485154757006,38.778022489416564,38.0616663622218,35.99074115967873,38.949635011417655,42.37539685214037,42.33906139908852,44.68933969681758,47.59143217967116,45.142881576101324,41.231663099133016,43.14681969332983,43.85127551577483,39.10351164449952,38.31733353789801,40.85553405913271,39.102007344881876,35.88546913503357,40.24147263069791,40.88342653440102,36.566385840243335,37.41415956136536,41.23695693108203,39.80005972042752,42.628520946580004,41.62965840807994,44.7274429926797,42.979160291777085,37.50900934546749,40.663158424165914,41.536881865943315,38.21289271318871,36.45718987270118,41.80935610868674,39.818154972023414,34.67257317575571,36.782848906212244,41.013516965723454,38.476751000404505,34.465210796552924,29.966772970988437,32.53581056941193,28.30521653322237,30.43967690533192,25.40304386654483,26.843951656179097,23.756366658296237,21.209249599509075,22.553309792931277,24.370767512216545,25.173841760077604,28.46631734236954,25.603156928400463,29.07064392527292,25.586898013213325,26.80542522081657,30.20801889121811,32.655916893074874,31.374948679174192,27.15858699696908,29.2083375068732,30.484073015700307,26.178620035033184,23.900529939152037,28.024226797658176,30.21645789951515,31.659240271366457,32.99008937493258,34.62140323606441],[20.196219656220546,18.770207317274302,18.52534443550179,12.959917071972788,15.771449733054284,16.42400107441534,16.67245440745795,20.956023525341276,19.25948228393576,18.831784270865693,21.542652459621817,25.08257885063356,23.504501244148628,20.73013361171942,25.921988191652375,27.50191983329283,24.74919809444907,28.397530090658258,29.14121331234144,32.13448384537781,34.59223321906945,38.28102566992353,38.279092208631646,36.95965997970077,34.56861946017349,30.780331257914767,29.525127704562607,26.378240946051637,28.39218101439118,29.31679491433129,32.35367310398483,32.89069757954594,36.548238985437834,39.489676124247055,37.00381007222546,34.39652845791125,34.127766439135605,33.14269897248994,32.383488157380434,37.783921181707605,34.697030684694724,35.22966984946061,39.57671027327547,38.80505071918016,40.19681900841662,39.559283956034506,43.464483500663036,42.91706773088467,39.377582822840736,43.3400608870716,45.14342432969749,45.28196670470332,46.86170627422995,41.47547488969358,45.958230063721196,48.94388235826553,44.973657266750436,44.352828643761946,49.1280826814077,48.97565073992036,44.50242552898411,46.36985269698483,44.82051260389039,45.589957822050536,43.01312172344274,40.02146029793248,36.54485777987351,34.360429146548576,31.037139200873476,29.592087680072343,28.17714094897459,30.34114018636964,32.82648516068239,35.70242239014931,35.99288833921349,42.31851422077297,40.988602115977194,44.4086608910238,43.29314610728114,44.02651916555898,42.66015562130587,41.61752537122654,40.09242391243811,40.56267050487014,37.314254706932275,36.13600588144678,37.435999531446974,39.173452676138915,38.06470693360269,41.79837667425424,39.07420485248056,41.774942253417464,38.79219736827117,37.49047437712918,32.861985903021846,33.449058924436535,29.162857182688388,32.41219599924999,30.42404112367228,33.051980283245555,33.6659568652929,33.401366549997604,34.18735631471612,32.677272054006224,35.017080745734425,30.395869407513207,33.60082643266682,32.280568454997635,28.706467438951822,29.044891082454416,24.40720986336166,23.458769241969577,20.45021345936984,19.28676778412379,19.24219512103759,17.980604073473152,21.111456752233575,20.351124354338392,24.80135805766927,24.312421757195047,20.96537159938349,18.776135423762057,15.176362985155164,14.434234454775956,14.177902808012288,16.09092414486624,18.181892699488813,20.749182955983436,23.722482959440068,28.435001895321093,27.10449472867382,31.725001824106883,31.772367654182904,33.342491599950634,28.462451093872378,25.23294628234661,22.06368680653591,19.70290163701862,17.18140017234523,20.47584531436,20.322011129506947,24.960045523240854,24.94392471914033,23.4645885604947,27.017513912756996,26.58150648447325,23.60039370041509,24.1175843030699,24.60748587024809,22.830479885019265,25.40453854499178,25.51559001060205,30.37280572951488,30.59841302691347,30.67986731858061,30.939359748093086,28.232698170878436,29.01218207065586,28.59966057513992,28.209755520538966,26.45860952564009,28.868684605490387,26.04810486497226,30.913892282483186,30.399952296109994,26.94885618935209,29.931601251011937,30.464308086922912,28.625425665779126,25.023811372688424,26.47797672365349,24.706747846456352,29.044904034097655,30.82885605422154,32.25855069830756,33.7368117510059,32.523721665971095,37.78676037850944,36.74211941640922,37.446039084348,35.06246629261088,32.187017854603916,35.70175025706163,37.40330777193697,34.40232518921527,36.95902694845172,35.57067347468618,39.83091492070088,37.946114913586136,38.66653946594488,38.516239928122964,37.3895994963811,36.06414606997228,34.0098733028387,34.267426666017606,34.167792327020955,29.599869729015154,31.638383447776654,29.4551586820836,28.994855240817614,32.172207801054995,31.67015731414687,27.57949848210376,27.981584744766128,31.47139321410312,28.14529072554054,23.8600431329843,28.472240271549,31.52616875384732,25.699643651400358,26.109334262181072,29.77503545473369,27.976304950240646,24.282617739274734,27.752924328387547,26.52708819361319,32.45311428359528,30.33372023536309,31.142304479233932,34.859490192169005,38.88212624948655,42.932997310430586,43.84661865402101,44.41493916345833,42.90220268033861,45.221745716885444,42.67707188347355,46.012362979866985,44.90728160828681,38.78418270194507,41.07240368953829,43.77562376661665,39.56845045747776,37.23477494627643,39.90363011694534,39.421319856532904,35.324042074765885,34.14651015042251,32.108993983552054,34.66483160031091,38.164058344190416,38.25070750180237,40.43217204762255,43.461702012394184,40.81774358473084,36.96559857966608,39.17407290435575,39.778838909943055,34.96817042462192,34.46271650030278,37.17885009675849,35.47731938158299,32.38250997552248,36.91110163715657,37.698048093691696,33.5618835456,34.521203504053105,38.3601078865717,36.82081117035008,39.37735502908692,38.0505384764912,41.22042689108668,39.85864808157635,34.23519517560768,37.13984021444229,38.378312362312315,35.200042788373224,33.07941798194948,38.57421380866391,37.062256041061524,31.768937291038792,33.54325643306673,38.10403209270321,35.98053288404563,31.913356130733046,27.460881945985037,30.585176896251248,26.63640242706572,28.708112387505047,23.440201947498384,24.208317080406886,21.005253405777676,18.979611374763703,19.84096321195684,21.84633563032068,22.061641798034923,25.037884567466328,21.624754064268554,24.818421216243053,21.096102548298383,22.68972722607752,25.94020229456848,28.61691479781486,27.299914467006783,23.116542981181396,25.61500360141671,26.979782427444057,22.386687639134017,20.541439535850056,25.007721967604446,27.457866781544535,28.969763024228815,30.30988174921286,32.05814639561056],[16.789049563195235,16.012565175991707,16.668717657312733,11.371745136463968,15.165423160357646,13.901096380504303,14.640857704905365,18.497950317840893,16.365230962680595,16.85858492175983,19.22882063158511,22.44867885639171,22.010537642811396,19.2842865188776,24.39516220613995,26.222638591405186,24.31061956796697,28.271776137816147,29.8526726439742,32.820513659681275,35.65629386904214,39.522511203764566,39.84253173115188,38.961796778273815,36.350510875806464,32.35187640046714,30.831331164001515,27.206111167801197,28.463897738589946,28.693789961326125,31.33627053629025,31.55098987331344,34.89739719223424,38.275636148955975,36.13868856636764,34.04058695180238,33.6042400353124,33.5629678019119,33.25318454225842,38.86572553609896,36.32465329793482,36.48107468660372,40.84859194937341,40.586938133646285,42.322099954919764,42.100359822788924,45.95870404237504,44.97254551346897,41.685171355225215,45.72038447281405,47.051604160321844,46.98726836304947,48.28565260720768,42.8203491205344,46.799444581254164,50.108669174804014,46.31285932309127,45.11208262202464,49.90009636584345,50.28237759331102,45.62881634986896,47.07667913771242,45.10819373561109,46.24113411899165,44.0037066477858,40.68148595480539,37.17267098115056,34.47634799025305,31.32873912802831,29.191098047409543,28.097488812297417,30.167541272744966,32.35699355651424,35.75623878086659,35.6096016665134,41.95551281982129,40.93167765184985,43.96022750988525,43.107527418414364,44.232727419798366,42.616597967831154,41.98684144236601,39.942886503980645,40.91263500608449,38.00767718399476,36.367178649288185,37.80710416318838,38.86509444110494,38.01160517754777,41.09887908894692,38.378713461182194,40.89713720972222,37.60208730405045,35.91574991245123,31.217613430033122,31.397913270618307,27.063201534453974,30.294095535284924,28.084202537286,30.22425684356246,31.73007007070241,31.385817512779806,32.91435790025388,31.407814913230414,34.46243549445315,29.854006213825237,33.0423961049578,32.20065448893111,28.372688004623747,28.19658600084871,23.415666540150916,22.946948222318735,19.367930127446826,19.210602876287485,18.958575751876168,18.71219883924045,21.875641354183454,22.078842511764634,26.19296076243422,24.779398525711226,21.52068742153291,18.809749349534595,16.186320232568967,14.816296472516902,13.57753041717845,16.57019557451052,17.46254810651431,20.864089000656406,23.890909215059263,28.696002764240212,27.957404974630396,32.410855531642376,33.02051069620569,34.02694602851361,29.741267938811283,26.25548094643738,23.655657692347898,21.477636859981295,19.332720717814976,22.36771845165182,23.121965243735183,27.732072327731665,26.984977732447298,25.1641654261457,28.479259307477836,27.21893214822748,24.24537173659101,23.8965650421943,24.026703006258344,21.423171088381654,23.599431869444246,22.856037714505142,27.610932078860188,27.03323558296012,27.40719807617904,28.281086642885953,26.048104750940166,27.17187501902224,27.283977118404735,27.43791590512655,26.71294773811094,29.17615747158561,27.33452688245151,32.032291016822455,32.24652109066341,29.443767818135637,32.28332712850097,33.397462955672324,31.370153655159296,27.687891306007806,28.619254329830973,26.55130422449623,30.407728579377032,31.67611464842016,32.61612500508925,33.504765642182164,31.999571666518428,37.18482567923143,36.83737454101065,37.49057104651759,35.88540955632678,32.50918749227337,36.58648811277197,38.701414907886175,35.87577676859485,38.505571609167085,37.14240027305533,41.731817554086604,40.30341335054801,40.95626845042799,40.96381481025562,39.46650908059614,38.2388220662188,35.99600366718024,36.03620231425999,35.89902699674019,31.179789911273875,32.70933411788228,30.191662444326965,29.082364255323753,32.02197315686749,30.88851822203811,26.907129753731866,27.61252555987364,30.575219555378155,26.74752845273928,23.052636560161055,27.473408409408073,29.75422470469305,23.73852952646534,24.43693987805596,27.78162881657494,25.37441773140029,21.88260239639206,25.714869242317913,25.097720260722298,30.715491056625496,29.816142513603722,30.370502724014184,33.742978228428186,38.19657102916853,42.0182797216322,43.260559287704055,43.60063188406003,42.33598225923052,44.694818682568254,42.13235209175143,45.875247744539045,44.86596602769819,38.74164463723461,41.186901500335665,44.307184582564,40.18694812647069,37.869490754710775,40.84235379107643,40.69458111228338,36.4856975784294,35.51646783716025,32.77760222980421,35.055458627234934,38.31081380070217,37.81184076159068,39.737837026369206,42.319969294953516,39.625286784961034,36.058043593878494,37.7806591400377,37.99768426878409,33.25279255640406,32.80379598663214,34.98056060213178,32.96447905692205,30.10221278113864,34.699360571833026,35.02461028699447,30.64995470903291,32.09902466739392,36.033600641146585,34.92675541745716,37.702667517253786,36.64002463177912,40.13470398290216,38.621151506405766,33.11447163145631,36.46452002032711,37.84845104355641,34.60933655633697,32.94094768970164,38.674659667095156,37.19543483339013,32.018516710144574,34.21600030718701,38.83817455953297,36.744986424351886,32.7519541075557,28.10325016979382,31.647429165140977,27.59545079836859,28.859072717909143,23.43468558511778,23.75516451613431,19.848023226192172,18.69776505530641,20.11896095874911,22.833624311404282,23.15242113701347,25.473790108422175,21.782299677883245,25.04998841866153,21.096153938507985,21.55555524592996,24.380350393678707,26.660619617967047,24.83422822353838,20.95050546500399,23.103578096079602,23.863530820966883,19.38865881143002,17.59343523122249,21.89201244583191,23.83377164102565,25.213311465655245,26.57447283198888,28.28552983780349],[17.83811308709898,16.790360771272873,16.528255756780133,11.429544506742124,13.642027205524084,11.542901867893612,11.096714573557453,14.703393255707551,12.161846568867483,12.179994172830337,14.620906519434522,17.95661568081936,17.30151612237958,14.624159161714926,19.763308531744332,21.516971545985133,19.720871567502307,23.793044855038907,25.74435023390702,28.564210205536813,31.607098381572296,35.47960735296202,36.03057586522258,35.41650875975103,32.62415619672952,28.567322305843994,26.85593864389578,23.028331396332593,23.97585366167418,24.042879891801583,26.68411754717618,26.836292876047494,30.200834021116854,33.57351366535174,31.437841813134828,29.419982006135374,28.981945298724586,29.173986531423125,29.078224949027963,34.820038385239,32.518045586141476,32.42381540181104,36.775925033886445,36.80573458673158,38.74855385034757,38.836590366119744,42.63673602789726,41.344019285238765,38.29276902818927,42.40108618996631,43.38763052115606,43.25533594052323,44.35088398090379,38.85678424292762,42.58514792765942,45.977705594378016,42.255575914141374,40.79500962028101,45.57159079050101,46.18734542485135,41.47261467268261,42.770473113369455,40.6715865524903,42.00874347438432,39.85979787289048,36.37748006748137,33.005831231268104,30.11002183370379,27.219105719453076,24.919934692407214,24.095400202229758,26.421424439350744,28.242552413355284,31.663912225025737,31.20534048245038,37.53340883957612,36.440969812913146,39.36384265220977,38.51373336959319,39.72356641628871,38.06449096063106,37.606617611463236,35.50770037662491,36.71469205111473,33.906714740805555,32.00313443806511,33.38675744529334,34.267581510714436,33.45067029678185,36.42113194617493,33.759868017916745,36.359561268391616,33.04846671924931,31.308137537535913,26.591640413093966,26.926568880614127,22.57565103665989,25.66978022458963,23.510725188759455,25.925318615655712,27.150633730359164,27.11730427816185,28.4647100850728,27.339412670224977,30.599549110908693,26.292409692192024,29.82200262416849,29.389252027861712,25.83762673280638,25.13787341257166,20.47703234867325,19.413531580999635,15.465004008937575,15.272957677929467,14.519997682541934,14.681307175137226,17.749712580690485,18.53427580504675,22.49785328982892,20.591316036509873,17.503131334890714,14.520439161717732,12.417218139021307,10.736978749014078,9.368089430807082,13.192487317432798,14.563813343485213,17.899436397701542,21.21432692366699,25.70531071258936,25.77508113017003,30.12816254276886,30.61241872404936,31.074224880692242,27.06383999706708,23.216829518086726,21.531652025211176,18.867925362077965,16.667475419090103,19.20030756172364,20.43101850267913,24.859697891043375,23.529658715174268,21.55300277117843,24.671460420515814,22.993415143068034,20.105161474147927,19.508779130111222,19.789089969008412,17.1152492825628,19.687504910319166,18.872128036601218,23.845787137499922,23.62388411742906,23.471759485930377,24.094761361081957,21.628502323450107,22.967142535718033,22.78954626766934,23.365019637099856,22.777309741453145,24.94269313098596,23.609589305516486,28.15191671973586,28.94371017825538,26.67145442771443,29.656689952896382,31.243293726561237,29.442524692178942,25.575437908390395,26.153266888047995,23.62315590681338,27.0248849092917,27.957486440390344,28.575961463932853,29.358882292795414,27.575645312118542,32.83864392993469,32.6322056953672,33.450093927933864,32.14336820026209,28.877947107462077,33.291564854172,35.595133130682555,32.75140635476164,35.043304002994255,33.495494499139184,38.28427242607397,37.17908944466482,37.98381197605399,38.26734861230373,36.669630016911704,35.816037660939436,33.7127224146959,33.92845399100334,34.204471212365846,29.581128693906763,31.150335389616437,29.023792935704734,27.382041087738152,30.798945327201142,29.26307125516755,25.272820237935953,26.830964913971975,29.73521541329542,25.705939732222433,22.808819878414205,27.39184728821853,29.21494464922979,23.521572741966796,24.86702801289744,28.17337499241496,25.42272549999916,22.630730981913036,26.922653207486967,26.341390900622258,31.739076731774382,31.233801136203343,31.147786426142165,34.44043337467093,38.77154578066371,42.81879587749291,43.75475208712654,43.54129220423822,41.97259287033729,43.98198861754297,40.99973797697294,44.834758988911595,44.294039244614886,38.03149317351884,40.07348326237329,43.56496762119722,39.75492861814046,37.06497419085054,39.80508002297381,40.33337540955413,36.27574353999304,34.58470651700079,31.96718881597518,33.41820062851153,36.744892763390396,36.3722799646029,37.857135906829505,40.51031465880863,37.37661165677594,34.11176338399982,36.21267248516472,36.007362277068744,31.198388360823937,31.387079993136382,33.56014315795111,31.442464857347883,29.012421271578773,33.88076049459639,34.15288474154454,29.968172568930495,31.870967974882873,35.818829520018646,34.788762408258805,37.22893135141486,35.7781521277406,39.46397597582749,38.48264054409245,32.878705350139256,35.93717782055171,37.85820186129496,34.85053382329075,32.805837037577874,38.67792567986192,37.83513867477422,32.588340304318656,34.343879300749926,39.31074367260181,37.739279211210544,33.75942193976749,29.26310163212156,33.304146205377656,29.61490053751792,30.751149516416444,25.245400628553135,24.7604799405316,20.688213166750284,20.398259890355664,21.29932254070426,24.162431485647094,23.779424794254233,25.539828065223645,21.043476321813433,23.677131723529328,19.210785925786027,20.075447180496,22.181546970224,24.726239275275645,22.285325833134294,18.88698858940115,21.792441695540745,22.12917894165094,17.057121841646488,16.561200783616673,21.229890354774327,23.058341330725185,24.330409624171036,25.581469347225195,27.353868535487003],[13.845345954021449,13.208393513430352,13.68301649186084,9.351200089164251,12.551219055628398,8.955060718425228,9.849039756791251,13.051548778615057,10.939053558305845,12.706828115007047,15.017877948111318,17.499397844514057,18.044216567707036,16.148604089304143,21.00586388323184,22.635598196654684,21.64253474829266,26.019431393745723,28.664904484541353,31.1349903442735,34.51178495963851,38.276395791284706,39.16023378367512,38.75926711150895,35.7219665383869,31.73373382091767,29.638621957559373,25.62321007670083,26.000320468878165,25.322041927916207,28.083113453016576,27.47551496315942,30.66160072208527,34.49392393053766,32.49282209674728,31.00573746894955,30.057647303983497,31.072141752330605,31.129320641836784,36.69099743078718,34.99349061566902,34.99442474318934,39.223854194109194,39.50795391259484,41.77497109767395,42.00392642319395,45.746942074821895,44.12250669832062,41.05491861996124,45.01816274649712,45.75298729525264,45.36108715987064,46.367586295343905,40.91462888761694,44.274789949429774,48.02212443707184,44.59580362012246,42.79532106595022,47.565249185159864,48.61583399331427,43.98317552305294,45.15072915463269,42.8190186720194,44.586703906901114,42.563063307693284,38.8056123706402,35.75913006152759,32.510740586969256,30.05084964836154,27.339094340940697,26.92651704557913,29.292182727306805,30.682521631856318,34.34481362888428,33.355650481755184,39.57854203867872,38.48572294229278,41.015007492662036,40.1728966780366,41.50252286597141,39.414202156603494,39.04568208395795,36.3671265544006,37.727797408724925,35.28367002920191,33.313985990656,35.12508925308013,35.437235500865285,35.20570236429052,37.69279042332113,35.31346982389654,37.94237008696776,34.41470859874026,32.233127749574614,27.495697035551242,27.634421748403312,23.31055941839232,25.83636266927728,23.216887790004815,24.691338120391382,26.81010651538494,26.09698353636671,28.29286513881606,26.646170080677148,30.29012004225936,25.80255721903762,28.949484739630037,28.69335371047968,24.813957207614052,23.98159210190768,19.253259559359403,19.189855720944124,15.227898421221864,16.285035911974376,16.23118528065058,17.245130809774455,20.510697384346916,21.898322471920828,25.924819781890875,23.467522446557446,20.695915268792984,17.389206604138003,15.860997243003455,13.487089821930123,10.905524088901338,14.521466317473338,13.950492176813944,17.9840800030851,20.959544462819647,25.58843507640681,25.72935750474503,29.841912594881894,30.98047590575629,31.222466843627906,27.768570772361198,24.08149808948234,22.427956677732407,20.522749836662975,19.07454476642967,21.626756127121837,23.72852784808104,28.19340510038857,26.682966271376298,24.318138732105453,27.16952952862924,25.06049680878329,22.13683677503998,20.740839052245434,20.273394116034442,16.943602853002194,18.537727334305718,17.19182399939181,21.77493098493561,20.900588718386455,21.514867365043415,22.645541960394166,20.865369924346197,22.05626504378229,22.80143049781943,23.264042233957813,23.69748088600211,26.3216087141754,25.627698712905616,29.9580580663887,30.93610326986887,29.05077782751529,31.544684517209042,33.42938355120883,31.231418878685304,27.551740233788845,27.74107703333821,25.384737153124576,28.499392825009046,29.134557395159657,29.548413157462516,29.756988114951554,28.1425063043892,33.06159403841961,33.42528390783871,33.922899604291125,33.19312760739078,29.295576543100776,33.899070175666296,36.45376815980779,33.90628283724468,36.62103921044227,35.433791138055355,40.30150356519118,39.50920811815839,39.962695504098505,40.14871505463097,38.188592406209644,37.132186395176646,34.739731360762725,34.58217900866552,34.56045615073534,29.837352028212027,30.83114029265139,28.260558104323152,26.27997253089256,29.199352755162415,27.296507827554716,23.50059243522874,24.984371941227725,27.389039459314933,23.088085953229026,20.57763016370206,24.83459409190248,26.10900589033297,20.326728757456298,21.785153385636253,24.791196826582343,21.704420081519263,19.085052720920977,23.528896003280575,23.380827174741423,28.44837392084184,28.8262945563968,28.575633120275736,31.558696252088755,36.16647458968334,39.97698887223846,41.18095303744436,40.891443432118876,39.59826807302879,41.71487519952804,38.881534346668595,42.988507949502804,42.38243157920383,36.23077096350438,38.519899295731854,42.20924697850873,38.42380420174385,35.90655641037515,38.97297655505458,39.568172257350874,35.421803638717016,34.206305175499445,30.9355811888561,32.432883921607804,35.44746751913977,34.5110994491006,35.948122650674776,38.1762798880993,35.23581635477953,32.0975323383221,33.62075663333171,33.29654937392458,28.61283272916268,28.585653894196387,30.34111129663641,28.05989983280952,25.67424082809998,30.4722173886523,30.456709115469486,26.112556397264292,28.22145969333654,32.19543017698603,31.449148022098083,34.08545869691694,32.941919682934895,36.78670259180287,35.57701979502626,30.150465442250457,33.586300513174855,35.47573103746284,32.42024687568712,30.85292204708598,36.800768282980926,35.881774898109484,30.831730937567965,32.99852498580543,37.86779749313204,36.2648981153516,32.417325491311985,27.844141065658036,32.110926230341775,28.420603989616083,28.876839114898342,23.410801381857,22.595827785273986,18.138873752023823,18.569366730967747,19.87561189717207,23.188544151556755,23.00179231800995,24.224442699241475,19.87512420443458,22.690960099225208,18.440224420949196,18.007559911145655,19.95397556512667,21.988546918114288,19.489855989417293,16.171957630073482,18.45639477954569,18.50500406151745,13.827538333201916,12.925506816118661,17.324994098926393,18.882526295738327,20.138198531437165,21.49168589708103,23.283573065899066],[15.729128549145985,15.629606069288679,16.10213137891724,12.95002687338855,14.97072006824943,9.62187540456414,9.521519999111325,10.99808634035009,7.658929703667638,10.135618533792528,11.496928343335584,13.484084677594375,15.309725061412172,13.587595161852203,17.8227075166875,19.64681669680257,19.660116614578023,23.992609227587465,27.339086448471285,29.693380576269544,33.27697756694276,37.124451382081716,38.27809197672078,38.36458918402649,35.2491720058783,31.17977207851809,29.003964720224285,24.73747933175933,24.280677903119898,22.988614467572738,25.028101258838465,24.280594980752912,27.005688644056598,31.08709400622762,29.53710511554661,28.569766101561576,27.677154692793717,29.550756837372223,30.161522189012565,35.8579429298274,34.64296780723632,34.0781366307872,38.21399442863164,39.04882889858707,41.537106443157654,42.24759211972479,45.845449358156564,43.840198953503226,41.23710909493953,45.27062930801192,45.46388589518518,44.96916577335308,45.59300436338991,40.17033323470363,42.93425715046995,46.81426131788171,43.55351064590967,41.19865122490907,45.86004374491864,47.37949146728203,42.599514827082075,43.265561282226685,40.567778883350044,42.60970501977207,40.995695591612375,37.03726433367469,34.00803701071271,30.373170873998458,28.220694491180204,24.957837800084043,24.959960184037556,27.20769701754811,28.117349672725215,32.106768840588536,30.689035888721158,36.7456816786609,35.99037905481731,38.10149255018269,37.58378035585575,39.31991350018784,37.177100453772844,37.355497053519805,34.403174029963544,36.368118833461935,34.28441602243994,31.747761676089173,33.41482109430348,33.07095970153943,32.91275556453651,34.688670334690514,32.30809256775525,34.67873441807332,30.9602101388958,28.50422932168414,23.853150003073665,23.624764195521124,19.416919170511076,21.87811791771015,19.249553608246753,20.520576423339982,23.317507336309767,23.0596635691153,25.690862673673724,24.64320742460879,28.99393498665016,25.054312988274646,28.41155237937422,28.905718728385374,25.30701749730477,23.62815425390583,19.24316095305586,18.952574095633643,14.518438149326458,16.251520831419622,15.382079017399002,17.353016088367124,20.042829801246658,22.281191179578613,25.510828255528565,22.26807582323416,19.88917008079632,16.45793973436608,16.354727272994023,13.970674659270951,11.269473803108946,15.683252329528504,14.851891424056197,18.88646503706006,21.896772187022282,25.988884292947926,27.179070926910732,30.940006585868126,32.20182602495405,31.653769038197808,28.88442574399834,24.924224286797536,24.417538851167325,22.274754062753015,20.952092487305038,22.766292971051268,25.270252909355328,29.31332259008101,27.06582708672873,24.66059615519296,27.070648762877394,24.20468431389865,21.626081599441996,19.522887000462166,19.04142640928687,15.130492094918974,16.642939056189803,14.111309043717409,18.652246765933246,17.061184396850425,17.313320567754822,19.00109849832275,17.58275534255839,19.486611293701127,20.33474432297938,21.87017669190309,23.185830098067527,25.28311552486234,25.72247917433722,29.60001955352288,31.484826595370333,30.38135274470517,32.92872871996477,35.324704307767654,33.355517541962605,29.61112333601754,29.35768200470033,26.57404428340152,28.907957453831067,28.916592284938247,28.66547691214357,28.366176694738094,26.215281664432435,31.022184490462262,32.03484596929695,32.706622680265184,32.78822610919093,28.89431129384,34.001702994312225,36.87128862124192,34.447814691970414,36.738780809240225,35.34963580298383,40.43954560386631,40.137141043101074,40.760965373662,41.27775239392421,39.16051167285623,38.52176858220469,36.25151373370119,36.170348080941416,36.475409250094025,31.91096460092924,32.68192854391044,30.34735038297436,27.69094182634879,30.722127895539828,28.161555713987244,24.63536881302333,26.90800752638782,28.809737810408414,24.2147860547168,22.89692140085635,26.87624648778285,27.180991953144417,21.857612408424426,23.9009611498006,26.45367555024874,22.787503961904775,21.063403090780973,25.766341057758012,26.07899456226497,30.54767695923155,31.91772627448173,31.154818471212575,33.7572425947385,38.42012443003721,42.129916764481386,43.32321515318935,42.51998830515863,41.19717881999753,43.03325784494279,39.927469877605645,44.27311659008327,44.089245138820246,37.97726586185245,39.994907647988875,44.115509078233984,40.67809687796854,37.96393196593615,40.936678057354946,42.16026156607207,38.15935371952826,36.56372777384947,33.15365551450361,33.82080221325009,36.66249797569335,35.49482630324171,36.34784964277826,38.25867940748452,34.95975811127889,32.40448083564949,33.844751730494345,32.83567977296427,28.305999981783028,28.906864372107957,30.129577082879127,27.544223817948584,25.874551960752488,30.766135891442374,30.287067711524426,26.044201539116774,28.898415580594396,32.81788483048087,32.51020827049073,34.97493899807262,33.76227993988666,37.879841309663455,36.994223980544746,31.756737804977007,35.15605993978472,37.46603011272408,34.6232909185344,33.12012554187441,39.118887306591965,38.65465336431904,33.76613538340628,35.796123732825315,40.79181679966344,39.55156123143801,35.8383012102498,31.402079942705686,35.97423223038042,32.50879938014077,32.55412629863153,27.189101831862814,25.780606723609896,21.14251148840454,22.446310862608573,23.656665846722557,27.144234944248037,26.641611333870237,27.20158206471832,22.44418299996783,24.642467423510332,20.177657444205447,19.35953993442309,20.124420655080513,21.904899521697295,18.392342388161566,16.241324063135973,18.687659129085112,17.59578176920163,12.835664981360514,13.620446318889426,17.637278890579307,18.30532486011073,19.164706428285815,20.291613366515016,21.98247800162397],[12.659845657780911,12.80280345166047,13.645257278967016,11.721442505454934,14.00609102261274,7.938686025707632,9.258954939132892,10.213873767187266,8.36531747450792,12.189813099543153,13.6909315503354,14.632561161177273,17.032313194436558,16.300103401294514,20.216306799546874,21.63490940449078,22.01472535249657,26.524199308075474,30.198040845764776,32.14264618405837,35.93972902164882,39.559561944580224,40.962697510648866,41.07943224193192,37.753857205202216,33.85656086807145,31.33753504018263,27.08689518781127,26.413354736863713,24.648553020058277,27.146056664836074,25.604621860168578,28.29761089072934,32.65788780273714,31.042131057893805,30.43251442640745,28.97429901385692,31.306259190308566,31.842116501257973,37.201414738905406,36.45218467169865,36.206289029595254,40.18648830056833,41.071685338219844,43.799836899450234,44.48854772761253,48.047241521344574,45.83216900557009,43.0866264449991,46.916302027079816,47.01490563977024,46.294219514500355,46.94492156603948,41.61267713539585,44.176677582421654,48.33682818726364,45.36051368454433,42.88988078938741,47.53657909168969,49.32237630829668,44.74485154085894,45.49300286534421,42.746570688996684,45.136649382873934,43.472991455720596,39.34600646780254,36.756728470038794,32.98902112667394,31.264481472579234,27.95346599308419,28.240968636987965,30.637543462643833,31.210458903351782,35.14975433120636,33.33197177905897,39.23196559400324,38.259017332288686,40.10405248248783,39.41637351930911,41.05544767855854,38.49984462243415,38.54407502328074,35.147518178552254,37.02007894880843,35.21498394775561,32.85896241381515,34.99540300812452,34.33268635854329,34.78896963142626,36.35293994441845,34.36570891820108,36.90705827649816,33.140097137446034,30.385041665179404,25.80791079054126,25.65619110334319,21.60610873823283,23.208602829602643,20.146489813000684,20.36337996308715,23.717559402387256,22.522949917637327,25.810358526766986,24.04918149160917,28.46573233056574,24.324739101349707,27.183524829781312,27.697670130534295,23.860460300713424,22.23226799047404,17.916170661405253,18.632195737354785,14.611165902144732,17.212043913626623,17.302635687168134,19.574574808142433,22.5484577745631,24.961520449674946,28.535782302852525,25.163533273652096,23.031467126579447,19.483070471366958,19.26145587002078,16.425307972390495,13.08027699103029,16.688149988433697,14.326960406592258,18.664260525488526,21.214504413404477,25.355710011505373,26.427078677652293,29.924985293188808,31.715444433505265,31.11223496470974,28.78476714925427,25.127974515248088,24.49312131162815,23.085261054737806,22.40064916969371,24.3404915914215,27.450803637081062,31.58475917557207,29.432261324464484,26.718054305320283,28.959141793864053,26.019906014043794,23.37541445554521,20.840820375806704,19.649162463852836,15.516310643051662,15.886853315814946,13.260340877471256,17.141357997015692,15.173396151991849,16.45919110230198,18.383977967058986,17.66528131469765,19.035080313625297,20.803556707121412,21.80005005191338,23.81462501681705,26.444367221594355,27.127139422419003,30.842502724051155,32.612678251997565,31.696263639829223,33.750283041160436,36.28576979905558,33.96062653908467,30.450952878038624,29.939316152427256,27.451281885416794,29.64457430900909,29.533625228635692,29.280553057544505,28.57812109401782,26.83813996470696,31.208858260562085,32.554924879942035,32.84196467525663,33.25084012425943,28.840557111008273,33.900919903700625,36.8869829090486,34.74811003661364,37.497983726536845,36.53131420656478,41.568019512121666,41.44249994330005,41.682242907463696,42.031027557355316,39.636833056722516,38.74422828716012,36.229384365272445,35.812119670184366,35.818320968668374,31.23863794171172,31.52798487783778,28.863060843874592,26.023781830533185,28.56373926507406,25.780890106570254,22.50056137860425,24.640609893566097,26.094939807779593,21.388165346333146,20.492037124066723,24.083147569139268,23.920768745077304,18.700971474210366,20.859447414216042,23.105073823781684,19.237129956661953,17.851656896069375,22.596119928521414,23.20750387797987,27.28068260573858,29.307466748134612,28.340936415132877,30.65807364654492,35.43352568344887,38.9646884192694,40.29722714597348,39.41500993999828,38.29286409203805,40.19306292306955,37.239948684696216,41.74539863242755,41.498002567006885,35.53671931678843,37.73168026626801,41.947538815885835,38.5624907952488,36.02102218981752,39.22059387360503,40.46631305922042,36.45163763542157,35.26198466685348,31.389063334655138,32.119409826341744,34.66743446979505,33.06772611997867,33.91987758423614,35.49447409526455,32.43353507800783,29.951182250163605,30.901436479467108,29.874795778623593,25.48467327161849,25.849354366635016,26.76356844417017,24.09882729632718,22.449103522311166,27.23804385661534,26.588737878735493,22.281293872800937,25.252388493707354,29.150829496949004,29.029699077355186,31.58756003847331,30.601328267426112,34.788559707211824,33.76061328628316,28.715477048104646,32.335357562635146,34.6091865390261,31.78841342373608,30.648856377316577,36.61669700512372,36.143788410712745,31.484018820614924,33.75823590162104,38.6217957240744,37.4202422347024,33.873119731565396,29.49957373246691,34.20330594798181,30.879181871767887,30.402195417696106,25.21917766480324,23.473049600355704,18.732937242557327,20.687725034690146,22.043343500410785,25.739680426302016,25.32449589813426,25.39418235036164,20.896792623846814,23.145183230706806,19.068116778386543,17.182539200503477,17.787990499739276,19.056363646397617,15.667387253442586,13.612233523770465,15.399484317800713,14.079978857742068,9.86132605957753,10.352972520327132,13.960985104256643,14.430776596228904,15.298742198906059,16.58474792454558,18.379895761566925],[14.4270535973543,15.473684754808609,17.074779272251984,15.691118708901799,18.12518300951674,11.853650999200843,12.904577424843689,12.72296343959353,10.300681445127946,14.170152128100584,14.598603140006125,14.96386075803211,18.571507298119,17.728281689848252,20.93187113105802,22.63950695928487,23.77405942211706,28.03756750116142,31.99264017462758,34.02649133654362,37.81854081453112,41.56114827095965,43.01883524690485,43.422942579764594,40.18136861482263,36.19447387236396,33.806866037439505,29.46439949378702,28.32020730010775,26.235370142584543,27.843489293947247,26.391611405777375,28.473242740201588,32.98882368211904,31.91944146330622,31.742651618620574,30.473788626675308,33.36602903541116,34.289669082604334,39.73483052275085,39.193288105064056,38.51614943292629,42.444122655850066,43.65500073797766,46.414155765532094,47.36578550286613,50.84267254644305,48.496533617585634,46.062210661218685,49.958019284479235,49.77323737445791,49.0360981885323,49.44121777698678,44.14925499616411,46.313364176516046,50.498288656385846,47.59694386831731,44.769942479785364,49.29717448837333,51.35816480000844,46.642572611113565,46.95755328736785,43.9379781039496,46.39555869888193,45.110772387812986,40.938986281300885,38.18521202818176,34.223759361102836,32.52718600809597,28.83098370314917,29.2487442994963,31.277504807282376,31.71283999263849,35.960205112142134,34.03376090375413,39.74088220283229,39.24140369917739,40.740809892674825,40.44606371627046,42.46311223892727,39.96888137556787,40.4794933258472,36.93748357516024,39.25698570156132,37.708501731780416,34.967997745684315,36.897523107766496,35.75221548436976,36.14564294478085,37.05039610724143,34.97291776213272,37.09181348657366,33.179583958114925,30.252619596886426,25.90010190858033,25.162411413257527,21.3969719211586,23.122967886653296,20.207250241605983,19.945503604983188,24.240501793765986,23.43089197567522,27.189552002269103,25.889364028586392,30.768979061266016,27.045618216978372,29.85667819784593,30.794234197008546,27.096031585656135,25.078829307761943,21.101400337718182,21.855886999841424,17.76418315051729,20.560578321909684,20.08238446947185,22.646854211192583,25.186506637573256,27.866498789596463,30.821172170173956,27.129795780423393,25.13220574325082,21.69684770019251,22.164678396875956,19.609350089430635,16.533765629419538,20.479190769090028,18.145625943277032,22.39443592660498,24.861923758421757,28.70726285457337,30.17622691855585,33.44933559302743,35.36876458729695,34.41308254764419,32.46189196381804,28.74509080161377,28.498665171024292,27.000199907767804,26.243269678255572,27.92883854273293,30.95697608315096,34.89791184825453,32.43184517083954,29.838044497644045,31.892956528605378,28.59736072518548,26.214909459602794,23.411460725182057,22.302716916138706,17.95141658418897,18.092877137401057,14.482260010969371,17.762722005072284,14.425927912664381,15.819041823087693,18.678171526141814,18.62944458357116,20.57073263136371,22.484741649160405,24.251688039218905,26.79139205592096,29.01636557516569,30.287678517058257,33.74545433359566,35.970113097747465,35.3541265174927,37.48133687710066,40.16557122941773,37.946306395799475,34.414183978296805,33.79149633657335,31.147714551363123,33.00417790433707,32.58195732132248,31.939585754335855,30.8986550470716,28.801311400292022,32.97996101667975,34.821738364918005,35.214536721377854,36.15219114960087,31.78033442034722,37.05557015730072,40.18626311632688,38.1364323778282,40.64403465986219,39.53691979244576,44.66254304732571,44.76282604403683,45.12586402427471,45.628389831108244,43.1862413482713,42.47159174600332,40.00654631408995,39.589026365170724,39.66006529796771,35.15239976673317,35.267579462337736,32.587850514683026,29.51771329500449,31.83355110896588,28.73384491249594,25.758520698457097,28.00643936466255,29.000140661316777,24.215474611796314,23.869097519016865,27.040928902811807,26.206639898016554,21.285034847925278,23.484061552823665,25.21812504634339,21.015721189252336,20.039847925947797,24.635341840092618,25.76221493436581,29.305712050640196,32.15531333055858,31.148537704437075,33.09032722315733,38.021216137097404,41.22761175534859,42.809981086022226,41.808654863687835,40.91963431766978,42.787286025766576,39.89329308320208,44.563137969809084,44.4048083622483,38.61726191545912,40.825766003357295,45.19568004352778,41.94634178982482,39.477857830397426,42.73884640576793,44.12766381800101,40.146801728465995,39.064814867203786,35.00703117727268,35.5150930270065,37.840788196000304,35.927338458005394,36.49694127848746,37.644401796604036,34.58423186912327,32.52291905451715,33.05128776439408,31.615362492653635,27.54180562947577,28.045442938285465,28.304954649246717,25.403668618233315,24.245771982174386,28.802277452532593,27.608434846130827,23.2867979039443,26.72360910921542,30.50107429488343,30.866501175153697,33.51480829121962,32.81478762974282,37.116856317084505,36.00131934357327,31.294694452727857,35.096908268545754,37.37986831027965,34.61376996450857,33.84624321936184,39.74320236146719,39.25863672623938,34.82728701308054,37.28345527253867,42.022286491467646,40.807367395170644,37.38606948915323,33.03168297119011,37.693655038418235,34.33065408410882,33.51626783745002,28.49225718082141,26.743651294514443,21.94605029096554,24.10552725556956,25.729220246183093,29.503679778298828,29.24382932985332,29.12087380838002,24.772300134000975,26.89960152266255,22.941023223174078,20.61946968125189,20.67756000650267,21.4275790074772,17.640064801223783,16.48958867398883,17.660920011809374,15.451873366711265,12.212557850836351,13.112042706886223,15.658673770668806,15.003545967034063,15.37500374752241,16.40618953280387,17.89840168729051],[12.196825766633058,13.542688298811536,15.426035676659636,15.496340989522603,17.868535676352316,11.648107983327328,13.666619280258796,13.040655839602277,12.186205566776106,16.692878090386486,17.425718884814778,17.01227971392762,20.748047222222215,20.748846808112727,23.774370840576484,25.029554155463796,26.33760888252873,30.751518613039096,34.93460753944452,36.558972217036725,40.536002565279404,44.02383968382083,45.714284184213575,46.11112122321736,42.6633255609451,38.86875712208191,36.15236666924401,31.86825023921835,30.604359519636994,28.159864030515916,30.314320297892706,28.107841092862262,30.206125745697104,34.9073472776909,33.70494794732935,33.81844829350546,31.991050578480976,35.218516541129375,36.015302752297075,41.072651444492344,40.9728232183107,40.65581842610185,44.413182855925335,45.632618502383174,48.61498864247069,49.51786389168374,52.95191971739022,50.4141317806846,47.82056600001164,51.487427782225375,51.23120169786903,50.27106580754722,50.7210296547622,45.55054784701753,47.53779241170798,51.98024926052959,49.37475900708845,46.48705203178787,50.9875129536888,53.2788100366281,48.80664437618601,49.25844552565449,46.24358717628073,49.029983523774035,47.648484424026,43.335132488644106,41.05293338450044,37.01454862492557,35.73005893258367,32.08142714259177,32.73499573025747,34.97225944229992,35.11100210399039,39.228449396075376,36.94311895451189,42.4888329098853,41.69761490958493,42.97047019557923,42.44767061273624,44.3003752782346,41.40027614135559,41.715918818357736,37.77600071221061,39.928414670283146,38.65809596322995,36.16822279888732,38.563586518617555,37.17198351575756,38.181282389885176,38.96028849298784,37.313000705500684,39.6543046942436,35.75816745155811,32.60126711821545,28.35553704125156,27.820340041902583,24.235095710147654,25.064355706311847,21.793479429113063,20.49699547084324,25.11815423561573,23.305653289751664,27.605947551414754,25.566081838925708,30.364008607557277,26.51533835970727,28.72758340360223,29.666562548260696,25.830762830241593,23.921042843106196,20.206565715735824,21.913366017747617,18.410481602210016,21.812295763901233,22.194578598950855,24.923018262325407,27.72837738954177,30.5101178440948,33.84511649767634,30.100163614069867,28.302088881653543,24.762383962925785,25.0254023939882,22.095787371276028,18.57840684456652,21.750821213275916,18.229012307816507,22.522428027393854,24.45647043352047,28.222650656910893,29.547258691589512,32.47224956728029,34.89018390024656,33.89361373973964,32.418794685168436,29.07218761826041,28.71998182466861,27.928350011125655,27.756517286292226,29.53279050306606,33.08549598141875,37.09845664683251,34.7580314774414,31.88952805005188,33.78850639637355,30.49996489307278,28.061867366856333,24.95950881219155,23.234443911561623,18.885675417917827,17.940028825377563,14.530646793074453,16.80808836788399,13.219883301202314,15.825949067618453,18.717859214667843,19.361556949849525,20.616422146366865,23.364441909240856,24.484812953415915,27.592149115740284,30.30639900624745,31.733152544431185,35.01357144455336,37.07094696722034,36.62780320380479,38.25470353415314,41.04582056114773,38.50737815141404,35.24520837488268,34.38314523279393,32.06115104899507,33.76784238563003,33.253454571551856,32.64658370774994,31.24938096806687,29.634072469241296,33.309850045779484,35.420388147993265,35.40893671184367,36.626847204869385,31.811179546224263,36.941121395717246,40.14287825909743,38.401459540818266,41.34674322612331,40.67758807091578,45.699666908291384,45.96090326066876,45.93426132705246,46.25889957006014,43.563022635191416,42.602454034740546,39.92380929179071,39.17760204553576,38.95333322911212,34.50940392835245,34.12982430548899,31.179453408856876,27.973650022382614,29.706690836693376,26.41406064862592,23.826502623281257,25.892296348850873,26.323844517160545,21.55201696576054,21.794667000762065,24.37939146415645,22.935989808703784,18.38009107829663,20.671775118544303,21.919682494327308,17.53820693200672,17.163571378912934,21.64166536827906,23.125097628104605,26.050556725753637,29.66026319793843,28.397365570043636,29.946434325323047,34.921160469881585,37.8900151552972,39.59872944576356,38.48307120866069,37.820589894418575,39.72100814375072,37.01736441768447,41.81611113475244,41.60986067684271,36.060723988398216,38.41695047702553,42.85174018269678,39.71482844379364,37.45488146744281,40.90181119462339,42.32442435362534,38.394488887920595,37.72718243614821,33.26042058490811,33.79157583895104,35.75737427038031,33.397270052700854,33.93807828326348,34.67927826797913,31.92820124415908,30.004422124549386,29.95159810704508,28.492976875898133,24.685876652778315,24.921650894096874,24.754432458093405,21.786285036347067,20.746213947753095,25.071318310235565,23.63752381095108,19.309509017378826,22.91136888636533,26.59682234023052,27.21928478974512,29.923065841289688,29.496926800769163,33.82973169007119,32.58904436381135,28.198517918759027,32.17365055479081,34.4068914054138,31.72906082727524,31.376862436838927,37.1388367861056,36.691305731967674,32.59197831151061,35.24196714557882,39.77879917239617,38.656147111040895,35.472691475437,31.287620623052167,36.02372433562068,32.90338329124668,31.53933692794234,26.84422225918668,24.73213258489693,20.02408162935355,22.85101085476387,24.527706126358595,28.392529225214634,28.19316019285054,27.52725691515383,23.578592019679018,25.639223880299227,22.223776895038025,18.908077003474453,18.71585545595372,18.776413716563617,15.308656778362382,14.496937325676422,14.667668357640919,12.089416475080276,10.213216619823047,10.76850999099869,12.21122673962252,10.999296400192696,11.26294470434864,12.48467480207113,14.091215298102878],[17.563101914094396,19.38152898179532,21.427126407319836,21.515773252755352,23.625347710277673,17.20897023929037,18.39505202525583,16.743268900412648,15.12960904373303,19.264986031316315,18.784808603916094,17.653004144978027,22.556955073548366,22.508815254386125,24.476912922601716,25.97625636442712,28.209196529929198,32.19597626664642,36.707507492792324,38.36100698289802,42.29898256169646,45.8839089233793,47.669099818082515,48.48575079296645,45.156054412853415,41.29891286280703,38.75947123337477,34.414570328666265,32.531749978211586,29.71865445558068,30.669136700644145,28.61059245150531,29.812111993645757,34.591026543063684,34.15535006069485,34.860030885415426,33.32901556867865,37.24806705261158,38.571220658004506,43.70200797976084,43.894721789369534,42.96597068885444,46.599049546428844,48.2851716714167,51.3078201020034,52.60613229664538,55.89220454417375,53.15277428130704,51.047671923567265,54.79515945541427,54.10477788730524,53.13291930820239,53.20604050411822,48.134921005919914,49.52926256630052,53.95417537970729,51.47955980294475,48.10543416594488,52.387329616044696,55.06087011977804,50.441679563262646,50.28398072712793,46.921711228401556,49.80427940544629,48.96056355658956,44.6200587426277,42.206812321070075,37.9580785386154,36.82583939961677,32.763665649769635,33.64835784367371,35.43036889713346,35.26634748421796,39.66452190145074,37.19356840348795,42.34196496754151,42.1680156441135,42.924473711654805,42.93550569936319,45.28095826473828,42.51050347758424,43.48655653690161,39.43512299165421,42.2018849131139,41.28819628282923,38.27137160243513,40.31902472009909,38.28832500297582,39.19417948241686,39.04968256875467,37.34509856184591,39.094761731242535,35.09589199430502,31.767684891003817,27.986464409413784,26.74169072678389,23.74815287283106,24.556243418235425,21.65189570727683,19.78131131244903,25.41148093605458,24.328967588719657,29.00591788642272,27.811522463512297,33.123431653115404,30.012185916773145,32.293815770737176,33.849229180628036,30.388444138478295,27.904938852819697,24.708941316163767,26.067192005594155,22.43081856070852,25.868462796717722,25.454995627914972,28.519880053117756,30.715788696746014,33.85954509588485,36.34340983609178,32.206482054878975,30.68203115659452,27.348135715183698,28.500072019269112,25.912823119836897,22.756845333637983,26.410876042604603,23.287662547190298,27.349707277516426,29.313941689550525,32.581604885608655,34.57759429654831,37.22759982195433,39.631987972587424,38.092279683469066,37.08421498203033,33.580598422011796,33.90715363724095,32.805283984269856,32.47160423634556,33.81657954725624,37.2712297401776,40.95542095845374,38.151788774771646,35.461079749036955,37.0639076998607,33.32149710754457,31.28227925252623,27.90503208428593,26.40698231421936,21.959584388065817,21.019668026693623,16.648806900647216,18.071811571503588,12.974607633773186,15.265248755017023,19.181497601832742,20.60217716886635,22.61480628874845,25.282911413447884,27.480213312800846,31.106277234984628,33.15156826755271,35.367552691915485,38.251156019573436,40.983123479406544,41.003745056015376,42.79489896530404,45.827316445715894,43.53654258257333,40.19643669660336,39.17404844859771,36.55494252178744,37.75120916864897,36.797144867949385,35.63792007225981,33.852740922531396,31.713335548253877,35.09985397700633,37.82457290544362,38.0301036816264,39.943125538413156,35.34755285292516,40.75676678489584,44.131176405418906,42.4745161365359,44.94185640146739,44.01924940155795,49.14592046772232,49.74338351726838,49.95296478506248,50.55402684398325,47.836890474406445,47.232998143285855,44.712299899348366,44.07474285769972,44.09096815132121,39.80065495516663,39.33849178306693,36.586755476059864,33.071121451067974,34.77195589893165,31.122606666331524,28.886843518615894,31.303154867561037,31.31468991700923,26.584486729641096,27.50865711290084,29.741309551072103,27.588238396962506,23.668915447398664,26.04996444004175,26.76421972113812,22.227604628730838,22.44220380453606,26.619507458949375,28.506958845460264,30.78711648492801,35.12872245051309,33.73505465031238,34.872251416100504,39.83881386938621,42.469429594447064,44.3199217639393,42.921240677500016,42.410024122523616,44.10781598348906,41.35387596660154,46.27139239244283,46.34070162946697,41.00898500408829,43.179401646441534,47.833731532723924,44.97423014383307,42.68101559173535,46.04169422653072,47.803062188591106,43.99390065954065,43.169088858191074,38.68352786912946,38.70284127977996,40.45904310762779,37.8985475177691,37.93788049601697,38.21798856310416,35.32769110467462,34.072949322558976,33.73395852398611,31.642177308143612,28.327052081371637,29.016346306888472,28.10241614972643,24.955887369481683,24.773587454162232,28.70996656407121,26.656861003828443,22.690019775941394,26.801220212236277,30.159131207862437,31.34951808257984,33.9240128929161,33.67486570656868,38.08032677264151,36.977436177137484,33.03645804366868,36.97072631425963,39.34312748403246,36.853130459813315,36.72532259298371,42.35378402064173,42.08690847871371,38.22838790543898,40.859020033005315,45.32773565015797,44.33475493793612,41.28350769093821,37.18618078238961,41.909997292278725,38.81798717422218,37.24476266976265,32.71148530363502,30.556606170638094,25.90998109218949,28.82667672032419,30.577295692424688,34.448137300828755,34.230564159386276,33.387486396839115,29.378278493050797,31.110141833514096,27.64804625707102,24.34743490797743,23.421139624955387,23.124088283060722,19.159175235901206,19.52640404864131,19.52576390562841,16.136496599862102,15.058090014368544,16.52785359965132,17.134153548357542,14.813085735943787,14.405601691551546,14.88903622270203,15.673080741645812],[19.05620430600583,20.40491015094024,21.98013602594676,20.873017788632154,22.79636544719713,16.35142991003708,16.62902654431537,15.270139897361247,12.351277448972006,15.781392246258116,14.90520903353464,14.446667459152232,19.228075207466297,18.46252045716446,20.49861656108439,22.40673122244417,24.490325088698622,28.312109155423443,32.618729824777226,34.616210923243635,38.38032597788587,42.18010247096021,43.75601168455737,44.58413625356918,41.4410777997424,37.4349153836153,35.19362464207324,30.82084335450296,29.034454518678174,26.567312403106868,27.029073943935973,25.70644319805188,26.9644351776723,31.54875578664491,31.179860945563952,31.562237476784546,30.568863158693585,34.12877147455401,35.563466825651716,41.045285568589236,40.81999085931019,39.559554565592144,43.340218362345674,45.01162430558503,47.825292747150684,49.1744299573934,52.485048441413184,49.92223075690674,47.97553876065438,51.92772535502932,51.304733506128585,50.551982411370005,50.58909793711015,45.406883258124004,46.996026847142765,51.15831872010884,48.39385244728664,45.104607225588325,49.420340712960304,51.84477066770217,47.0083242110893,46.751812711875516,43.410507832128154,45.97746838789736,45.19605796630788,40.993159266870094,38.16408276942884,33.99484960993977,32.51259821090966,28.41954995583904,29.11979725596858,30.749149064993144,30.81295096922028,35.30734323334749,33.15344999991505,38.47935553572509,38.53095854820272,39.54857530565521,39.73657509028131,42.20524727717207,39.83482810914395,40.96207909129617,37.330662276362055,40.22447940008411,39.01824136151731,35.77942763300395,37.37695035995725,35.62971887761052,35.92918345432153,35.978093869284564,33.85204107232727,35.44384542541141,31.432660090975045,28.339283342041842,24.400225134243588,23.011081395497843,19.78645990898866,21.491657385012953,18.92882112092772,18.266647090163534,23.406146595220708,23.344129659682388,27.386237155929987,26.911712963413148,32.26155287017526,29.248363953283587,32.153394580808815,33.68621641278262,30.363469219067927,27.773903171868305,24.305111471285315,24.737294407691266,20.59472511813877,23.466971938854225,22.258297932533843,25.192224832254674,27.074979915864734,30.153896766068968,32.235621084147766,28.135590530446553,26.500109145004135,23.30423669960729,24.738345302407375,22.52055693019267,19.825616216713964,24.072445039651445,22.032111882274204,25.989785287905388,28.4410476503552,31.756926276520886,33.923887340008534,36.91129014956096,38.80263141896995,37.292271286945926,35.82467801133059,31.973129679372473,32.470265693176025,30.709557341567855,29.875973276532825,31.05790460221511,34.05378546376822,37.60155908607715,34.66023680215873,32.232443536577314,33.93278779939413,30.18591653906725,28.233516226757125,25.136940497262774,24.22761710657664,19.822601081302206,19.925750425663168,15.435083838683964,18.00306105553687,13.523083831052176,14.383034508099712,18.099568360643726,18.69757637595695,21.364282001527307,23.169931787570345,25.968881984723033,29.02307570476457,30.581738384759987,32.66757867877417,35.68173210061815,38.582929897026574,38.48385470954037,40.73302055365607,43.68278563442583,41.72463856893199,38.14594133881785,37.320823984081265,34.3922419150498,35.68285634435705,34.80854334564606,33.620064134056534,32.21068371858351,29.611285201867133,33.52632951763418,35.92725420702004,36.53830749549218,38.1376444507574,33.997268534535394,39.538205622563055,42.83402820755205,40.873062260188156,42.895826010370506,41.54989588825073,46.76349057880982,47.21692938965396,47.80188345701456,48.58548832005312,46.12181068939307,45.77728146159573,43.4824678656577,43.18297462590303,43.52123264535406,39.18474261187418,39.22198521888741,36.777159956968,33.36354205959726,35.71942605919119,32.25397160379038,29.57557343191892,32.25329241757754,32.890584080574854,28.086853109210374,28.458968308387625,31.364955230089116,29.886711002220952,25.49938139672736,27.91245128339471,29.243600023246874,24.82737962515851,24.45348433934466,28.940250095530214,30.36758232732354,33.40700303368993,36.862042597798826,35.63157246597918,37.260936030607446,42.16667429088222,45.18656647018115,46.803945680613054,45.47429857081345,44.623547564194325,46.26396604814317,43.23386245486443,48.014307201365064,48.16655184809857,42.5079464362778,44.49006149946963,49.104099881525,46.12940499664072,43.563103257753816,46.7058241324332,48.488055049688924,44.637232947355045,43.3029547270466,39.2573790134204,39.2005355279538,41.36676869999438,39.32287475477124,39.41140718783636,40.22909284864414,36.95300108418594,35.4747646623189,35.87145835161145,33.85794637929216,30.129893277300823,31.121680814113013,30.830945584750342,27.76221004307544,27.325867044257965,31.691699119690192,30.04710531501278,26.006967684399346,29.930144701826194,33.49654171531106,34.27773180404889,36.76053719122176,36.09425113218274,40.5011519663078,39.60712528756249,35.19644750270897,38.91226163837305,41.41568653586113,38.833707358531264,38.15883453944772,43.98378826178587,43.7627338148189,39.49621092575692,41.853012238059115,46.60492602853045,45.58732176232191,42.26646188179838,38.00986736269208,42.74625926661454,39.46951420596137,38.484907455400524,33.569075090068715,31.643157862460644,26.876644010444803,29.270608328583254,30.860986427858467,34.64871302650728,34.268075403229595,33.8926727222868,29.40566096556335,31.138293563544067,27.13351915837761,24.801311721976965,24.093434956317818,24.56514314677619,20.240774506134173,20.177952808743292,21.271965423875077,18.279636599027494,15.657676855578494,17.534120946808876,19.40636254380668,17.903840635218604,17.775471151909567,18.318173013452164,19.333338056169314],[18.38533970621092,19.206965812672646,20.04280657447697,19.29113808109976,20.414065656960428,13.918701081734044,13.927768337179511,11.994777604458175,9.626275382452489,13.540782597406686,12.969402002820285,11.966315981993123,16.73761693462191,16.736429474835624,18.76792641682018,20.23355243143152,22.36500454352794,26.383342895539183,30.909285953684417,32.52663688211548,36.472889589771064,40.0557170852878,41.83773625487341,42.665850874466386,39.3280045371586,35.48228548887573,32.94734599409407,28.599877430380456,26.70543044073517,23.993679565327678,25.093885748888233,23.184271780992965,24.729305923493165,29.42905452034312,28.74972608051217,29.199440089592986,27.80238925322872,31.51354025366367,32.86376781851308,38.137373687660876,38.189560730318675,37.15805579434506,40.83079269013459,42.51518745883526,45.506491118544126,46.85968702352853,50.126975220886045,47.39920505853553,45.38030064134715,49.200400669415,48.49694754487036,47.615678972777324,47.673507896475094,42.54471515857156,44.067943720142615,48.37845225938291,45.77481815468019,42.479524060525144,46.81781104075055,49.350737705371756,44.6837142817525,44.61080931210351,41.33093435464416,44.14905552437208,43.194516093141296,38.86790969562561,36.45979168416579,32.23783516517286,31.149633812894997,27.173807087198586,28.126794075849936,30.154057617615624,29.88761944984489,34.156534194677185,31.664428558428355,36.97058401752349,36.60068617059491,37.58767137806851,37.47335165845459,39.740043295379046,37.10261736752532,38.04244722555566,34.22844774896674,37.01411006823776,35.91199687332939,32.79500410382399,34.68008325528166,32.87245535839794,33.564675510120715,33.745573517985264,31.933405948102966,33.90728728225374,29.942179936217897,26.716666655980706,22.67012539161515,21.763303648931345,18.447188243879005,19.397901368838447,16.44323429287129,15.479972722157427,20.486505940364896,19.956974821506236,24.110979339888356,23.37439071157326,28.71697254308432,25.72518032687675,28.583799161493832,30.22102418844297,27.011875245457357,24.28069593326031,20.9767479552047,21.46794754828412,17.49702558522474,20.676037576394616,19.8384142915835,23.016641890860345,25.010008715256305,28.2956466129579,30.63988818693077,26.428974524514963,25.035899843680042,21.714001921581648,23.160972518232672,20.63524136265814,17.670769804112133,21.561548261811094,19.16986523416115,22.98591173618276,25.294880950026275,28.406253199156996,30.79650359562176,33.61841878245068,35.56599749025055,33.88827867663403,32.6703655051781,28.89162249050649,29.674162153138518,28.088171470628335,27.572464303654957,28.595475844405005,32.00985378441942,35.488170643152124,32.51149682810495,29.88045970505558,31.403192553704855,27.592497268489687,25.638581977149176,22.29695357729151,21.085546603940877,16.648262332285057,16.416228921691143,11.898038063508766,14.459076364189958,10.32834564244892,11.320836268306133,14.802101765677312,15.465888895488877,17.882543480421113,19.97533205642769,22.56218005693411,25.886073615052126,27.617227934182672,29.898082147537615,32.75524928463805,35.68826982305526,35.831793680292904,37.85675837450655,40.969493100012635,38.97071218205274,35.49762643890533,34.462124254245786,31.57172852656317,32.63054811528717,31.633170847730888,30.402877152464605,28.850786553973172,26.433034679329733,30.210731828798345,32.67014469916987,33.14333948786073,34.864762037577975,30.60006373319131,36.14585470983473,39.491622557919115,37.64444837291776,39.75368506404659,38.58162976044417,43.767704670516395,44.3658857527572,44.795191842247675,45.56767027813376,42.99360219001427,42.660846137387004,40.35577231149688,40.01684181990672,40.41721002128291,36.185985336483704,36.13063573160031,33.83476664667524,30.247498324907063,32.71056564064136,29.132433353239403,26.52352623170654,29.515430191406985,30.123968072646008,25.343898015663306,26.107872452265784,29.030550988254838,27.45161445768696,23.35071267879173,26.046912558314318,27.438809692273786,23.05964681751695,23.05498437103806,27.682831920457154,28.911780227259687,31.907267224819925,35.246385068883995,33.69223282425268,35.343876188737596,40.05162802451972,43.265290244008405,44.60844865192772,43.02720996545281,41.96512994872643,43.424160287815184,40.2139731526001,44.96750066824685,45.31498854615424,39.6300043933591,41.41404949944103,46.129755974221716,43.3130822132133,40.61846519663823,43.640730834053045,45.68291722566605,41.945508840049015,40.367173556436256,36.38491782610446,35.999208461234964,38.14719315257149,36.183780004522134,36.12223750254045,37.03195254368055,33.59915172425646,32.1963330524225,32.81596353542717,30.711551707495175,26.92047636736072,28.189489852691814,28.05226976198812,25.028779737495473,24.732313757906603,29.246384566426226,27.783741902780115,23.948682282028912,27.919431489784422,31.471503588280306,32.11153628601738,34.32885020811983,33.3784654619517,37.802339555334356,37.230301434226355,32.75203989045736,36.21490418560286,38.95819791050025,36.5290098439022,35.61065049215811,41.423006773839994,41.533546337370005,37.265945224248846,39.34925447139457,44.21121165937722,43.47661669093674,40.199549361300974,36.100960700556605,41.0237330299794,38.00512119923343,37.03300453762757,32.147298421728486,29.848503716318287,25.19106509648728,27.907690854900952,29.1545764312081,32.9035827627176,32.204433759881454,31.535603236054243,26.861048754526742,28.254347312503068,24.267439948759243,21.998056521277977,20.910740593340062,21.470644787934436,16.945783071792636,17.208040690658667,18.663686744953562,15.587935387959734,12.706208737014828,15.373696172397183,17.43177905668743,16.189824441100864,16.13571745705109,16.664488402559545,17.87555326415872],[18.023313457540898,18.265757653448066,18.502648905357546,17.051731932871043,17.820928766329132,11.507253914479756,10.891527123309826,9.446444212535484,6.310145437638161,10.169116117121744,10.083969571197228,9.883240303570311,13.899407874854473,13.640473598992292,16.307016866908864,17.795949171959425,19.38823352461728,23.58436111839866,27.90906293099919,29.63402315670292,33.551097690354005,37.17628454805318,38.84984122309402,39.510273318754415,36.174519984358206,32.289016147796815,29.773526301239198,25.415697964287386,23.823268876326555,21.433729100801195,22.965496319659962,21.30514851601808,23.368607403441565,27.908317464995772,26.851327772683824,26.849899531686294,25.55220524614629,28.77270754733883,29.945560512144226,35.36833903105578,35.11290184910321,34.188706798558556,37.98630435233542,39.474604630143155,42.376337309240455,43.60264269499985,46.94470447260632,44.3557606940623,42.20951501063942,46.09413895008268,45.585875732699755,44.804906330116594,44.99774716159261,39.7700466357395,41.638628232927886,45.838743963184726,43.04968325503931,40.00148462623451,44.45694833917121,46.716227513522554,42.01885018049958,42.18812677362031,39.081805757698504,41.73387189963689,40.54740829871211,36.279451460831766,33.78105223079293,29.680739037541024,28.41085287069311,24.63157830192172,25.433072132998227,27.685898961524416,27.60790255463112,31.74455204427426,29.44199379400189,35.014780914160816,34.40583430646358,35.7588639278043,35.446713602764994,37.52477058616507,35.004588986965075,35.70962041732104,32.1523002935452,34.72656774870528,33.32441939647797,30.3217285842062,32.15418614695125,30.78126441747292,31.248704652036086,31.98164475922376,30.028251461126178,32.25548996754791,28.36059372033667,25.34432093043011,20.993707608690613,20.479886491316968,16.747725422466043,18.062156564996354,15.08958550565583,15.140822650838714,19.202275277226754,18.87522524076194,22.439580602442643,21.735247468740717,26.850736781654515,23.64564627325351,26.844071885253637,28.245794539940437,25.03901867566184,22.444111625148086,18.841443401270872,18.818621804034084,14.565252601504369,17.415789281981233,16.444510043595244,19.50396117627498,21.60836977449891,24.787616791725164,27.33483771467165,23.262290015818866,21.730194072336523,18.329098774771555,19.595322978380842,17.04334977263228,14.127570408158954,18.199258816481517,16.35397217693717,20.123622066586854,22.71384471892536,25.979725094332238,28.27727364208157,31.358609562696117,33.000402848582866,31.509636607641625,29.88760013198053,25.95932757218178,26.67563706731305,24.812900498672544,24.11133833281257,25.15065564827237,28.44582733111439,31.971906042339757,29.072491977949817,26.46205487930028,28.136022837925537,24.476951879911592,22.388045507122975,19.264815023708664,18.276170167168278,13.876669882140868,14.355351027703437,10.271704054375668,13.971246426448937,11.23204498550421,11.45552874962253,14.065933701747275,13.772306589295354,16.189114052914622,17.778187652616257,20.23275555932715,23.017764512074407,24.76520042079822,26.685155621037193,29.765353349075454,32.54767490427279,32.493143985745945,34.68725572245749,37.70196689180673,35.80060099216005,32.23052346341705,31.324914190693004,28.35462915813088,29.621623817235815,28.821360020920036,27.789883471988684,26.60519601567344,24.167170025802694,28.359709465487718,30.371246523376815,30.96926806309652,32.24047079569099,28.14297791562919,33.65637999160564,36.89701814274638,34.85843117386607,36.90689752781848,35.61962749303221,40.81753120971967,41.22542374060567,41.754322558822466,42.52642676967254,40.08354960913219,39.776301409041125,37.54757040313928,37.36388009551167,37.88391343503052,33.60783778288159,33.86570810557179,31.73767698286192,28.310312099207433,31.17975757773346,27.84986697468503,24.90695594667919,27.97451107443225,29.072918299669,24.329456077729755,24.624678544130717,28.003596705235488,27.030807845691292,22.641569053421613,25.321003705403637,27.185797190442507,23.037264407559782,22.63073629828401,27.411261668624302,28.21076463907794,31.733603570817998,34.308047512904665,32.836260327383904,34.85997654248335,39.44515404068407,42.973048192905445,44.09067602528898,42.60268670618318,41.281743263012785,42.73106647715268,39.38021017189676,43.979393473142466,44.31422332941659,38.41630303702645,40.103368876148004,44.71163919011208,41.788235843219915,38.941721618028275,41.82369514622859,43.80708293848879,40.051988521886415,38.18491684408858,34.50945094370546,34.18292152239496,36.623146310632755,35.05513280587953,35.16326262907857,36.532767119996926,32.944787070686395,31.216325703585234,32.37478515777182,30.535084943591905,26.402585059575863,27.723471007695576,28.18822790405944,25.32960830720358,24.669385428060806,29.45854867729679,28.44186867747079,24.57887178166715,28.230064134912144,31.9184044452532,32.14885987683659,34.280277226870645,33.01680684236072,37.36960572549326,36.92848992786295,32.10391642240921,35.365552232010195,38.15398395535665,35.67236256607676,34.337810588600675,40.24429199908868,40.39027436495865,35.859082375672415,37.71227637497676,42.741311894125346,42.01820372757282,38.583589377681676,34.44239219804485,39.37001624425167,36.32409688562524,35.76104428064029,30.685443621082147,28.48032318472875,23.85859707318037,26.256798847191632,27.270513337567536,30.905717371359703,30.040044128345727,29.646606440528664,24.70310131042817,26.099537015309952,21.813633682634144,20.25048555984702,19.483831551730976,20.655702676551755,16.184288015846764,15.840780379554342,18.089617864694453,15.631139547696066,11.605079885853984,14.374564958817997,17.366741554295363,16.945184098729218,17.250982305748295,17.97020582244869,19.442111981399467],[14.542104439081466,14.300383262824129,14.069840607241156,13.478525560653356,13.987474267792111,7.502416412489051,8.073645134366352,6.931015012911853,6.419737519421669,11.152164008492079,12.461502586799856,12.091743431343001,15.030620089729904,15.626259332650687,18.807879234921224,19.644306785001923,20.673877737715607,25.222307585741532,29.451967823516984,30.7789903192246,34.8449629653256,38.15956703047944,39.96213717375492,40.34469700388415,36.7721089852575,33.11619137522259,30.210335921805477,25.97781051802296,24.731713820592734,22.311773285476946,25.14046725500434,22.729626407248873,25.346454808224323,29.912490593164982,28.264231424942814,28.13407937797198,26.14789150956784,29.169420913728274,29.866747157282,34.88614614119508,34.8251032658272,34.61772095653689,38.3300078922914,39.522079555884204,42.58110338574675,43.51439723582255,46.906645689185666,44.285167473093175,41.700900274785354,45.34048554092363,45.03948017469069,44.076600625846325,44.54360884667321,39.36459205936628,41.452039624946536,45.87190344565885,43.26169743577161,40.480635612492115,45.02901882168441,47.23936878375173,42.86033505085573,43.52819364587101,40.665366710134144,43.519539136393156,41.92178863626504,37.58101882200768,35.5971151328369,31.61958695659163,30.623420782620265,27.229962334470024,28.05656242610994,30.72384074283094,30.60379519118792,34.384312091116335,31.93342155240221,37.52978751690269,36.29605454784113,37.75802140334486,36.91851769930151,38.52454325529265,35.58676377553771,35.694693490593906,31.87927916775654,33.90717155112849,32.51047666794004,30.079591274677597,32.54403902407041,31.38328118017319,32.459788524518125,33.662647326297495,32.15308042721346,34.902726428956704,31.151501781026305,28.10218560537333,23.681678885193413,23.798829565452337,20.02159604653874,20.472181057411916,17.0461523216391,16.456264174291338,20.029959255545435,18.265089118627603,22.020672537843478,20.072691032156968,24.787440203263866,20.96249085607322,23.693020116503817,24.732086200949734,21.170838338820978,18.951154586253576,15.131856024566323,16.087651841591367,12.347289909045399,15.81154754062267,16.278370171641836,19.22457367819395,22.01258507472234,25.004715804191388,28.45799107314737,24.666608730438195,23.13635438427727,19.552398619486013,19.945749812576544,16.801330475277204,13.165384226558931,16.20813745890639,12.991187471442647,17.04777660257866,19.251702461930076,22.80847645034729,24.646147206667155,27.65971765688005,29.692088077945066,28.472499543209285,26.929504663743245,23.35144546381945,23.59907385202626,22.483540453383867,22.394692628671372,23.795910236706693,27.641187429952108,31.444946811886673,28.962671586433334,25.98964561121423,27.72396246415823,24.397076953935123,21.979608602968742,18.789469244552606,17.04550296509362,12.70115244977439,12.147242753033002,9.056445812447722,12.516594601593091,10.772687653935792,12.31063875240918,14.107612214591676,13.91097048235361,15.035115080608866,17.458037308854788,18.508419601862474,21.448273289201296,24.111620530937056,25.626764256081888,28.823136400212945,31.028427463738776,30.831084243076813,32.51523535715949,35.498629620660765,33.18124407488544,29.849986015645065,28.82610713045855,26.280859022653523,27.751112910598557,27.153723282125032,26.518285219519043,25.284619537991198,23.639495293196973,27.567964543408166,29.400581379813882,29.509413642470513,30.568767799189988,25.93338935666748,31.18841486362161,34.399941594205266,32.547517210844696,35.26488924576681,34.5068631668976,39.55990170783342,39.89459820746451,39.95584396762926,40.420420432571575,37.772785008660996,37.0577029526947,34.55612896842417,34.05806317943967,34.237236965828664,29.895793851128676,29.850470475174895,27.446341330580232,24.033343532747917,26.621804337503207,23.32702321880404,20.39500790337198,23.2944721855206,24.313529961153883,19.554679011719486,19.9376020270637,23.217282635924455,22.284574850221627,17.91007861291395,20.687420315804737,22.597134588041534,18.567743744079518,18.323659232624937,23.132555245742168,23.79880316726221,27.26325549340516,29.787359484083336,28.142583486349455,30.16175633510917,34.67921238936677,38.28039014183268,39.31531345478393,37.84650290190338,36.52540890102434,38.053698479612514,34.801241583570736,39.41418028472211,39.615581230960444,33.73229885188873,35.56568523977666,40.12866823470193,37.15505620483371,34.41556151507626,37.44880106294559,39.33104294998994,35.553886721423474,33.97192071746009,30.03897192704655,29.93588149775567,32.27771687942131,30.55679759200575,30.89414273602009,32.29253982946834,28.936677283501986,26.921088177484638,27.955618873236165,26.430494921204456,22.158594933018975,23.162494834855067,23.854710718273623,21.101387245463776,20.104259443361165,24.979724537559676,24.232277980595683,20.353646171514708,23.766968623642455,27.501597229829702,27.530487078982706,29.64727877834402,28.35801861335764,32.68021451030785,32.19422364377861,27.31071387017929,30.59751229719201,33.35104459560909,30.875989268480286,29.57722449999895,35.474832858002806,35.6418587676093,31.177935776157703,33.07274458185304,38.05285425637416,37.39312916794185,34.04327518974591,30.00492613851917,35.03347334345342,32.195070064775564,31.44270324244627,26.502946884993435,23.999702265449688,19.476564703036203,22.27520295906855,23.130475258491554,26.796956968606032,25.86418673346085,25.15295484960752,20.360362975045547,21.814134772666197,17.824271719914663,15.658651540354285,15.038874355940349,16.125085135919015,12.0034364496586,11.198686037274605,13.364657454305464,11.26466976995787,6.94338024068381,9.723901495843949,12.906895767168237,13.068240488572826,13.720945960510116,14.792008184666647,16.62216307362504],[14.376625342854137,13.573342042424017,12.894604573015444,10.997179058898018,11.5821712605528,5.400637693254038,5.532946526106018,6.532793334374845,5.358889613900527,9.350074565153259,11.510252962190982,12.359413671642145,13.994754474945308,13.947038940152467,17.930592612220103,18.89147667838984,19.061852261540427,23.711549441969,27.47711379302091,29.072637020713195,32.98915490042824,36.40146079649881,37.96002793345271,38.0675815191748,34.5845471183619,30.848797723214282,28.082763143501914,23.8856414938712,23.208409800072832,21.386055496843642,24.541118402227102,22.661161940916912,25.71235582071753,29.989068830719866,28.024163257980916,27.31404470496495,25.588550478031248,27.836334469999706,28.250872540247986,33.46862873015574,32.877297626420656,32.82203714811788,36.71855221058317,37.58779775015839,40.444268882979976,41.1463042112077,44.66254925998721,42.3207996336021,39.535281618605616,43.27787403310381,43.31593243403343,42.52730559958619,43.200945203958014,37.89909386362384,40.48047257503187,44.699633038773456,41.81121473985517,39.39853151549032,44.06690662648276,45.86764665364339,41.432273103131294,42.371926779396894,39.73765544998268,42.27517292427095,40.43314457429266,36.245862668148185,34.02296368060196,30.282728293959533,28.9023951012527,25.806245177680406,26.29578240630786,29.062147742344752,29.342781066717944,32.984475138655974,30.939544558848485,36.80334844722361,35.43116378987797,37.33417317537352,36.35777122969416,37.76827742863667,35.0736743930009,34.908083195101405,31.50006078707427,33.222077364826625,31.40158877448847,29.172894079946545,31.491095484294547,30.9362272799126,31.615425129535545,33.44423616180981,31.690162682182546,34.57323944339317,30.933395807795858,28.20659156168134,23.580026010373867,23.950156031356933,19.871220817810695,20.940883053200167,17.741355766750345,18.20908400962809,20.807352614030805,19.408137680548087,22.358735638226328,20.4726866454344,24.73257032283875,20.5789405747858,23.635640350281513,24.197568387014417,20.54348248474819,18.763220745404542,14.450357549348888,14.800403911844299,10.72199026085443,13.493097049451245,13.940507952017883,16.427481974606128,19.50430670378343,22.11607429330626,25.913778883843246,22.491593600986644,20.62940550274099,17.012355109950455,16.812035220758357,13.645799446260213,9.988554632500545,13.298574245531185,10.867925960363436,15.060313543782163,17.698141935762216,21.67248262502524,23.069611343136422,26.533470300583264,28.17450970857547,27.403307028715403,25.14831243965971,21.41421856067679,21.197727576958798,19.731839232833437,19.28694509185551,20.97385610681214,24.49730965241551,28.504862421434357,26.274472439964665,23.38284796413665,25.463712163352348,22.50415842706449,19.838255717693432,17.17297522927358,15.812089552434648,11.74100486309458,12.25528175388305,10.228970236050996,14.558922920412426,13.869847642414268,14.693510674767474,15.772866977493461,14.582913476132475,15.611167459536087,17.272887891729553,17.975023236406738,19.944105665890437,22.692994511723416,23.455812334049597,27.07579633952415,28.899912861877837,28.217197384568852,30.169201777947425,32.88976732775328,30.63215244403743,27.142982866546866,26.433557763428762,23.860559990656228,25.84792757558692,25.66135722850153,25.41553416026265,24.758307764198072,23.15190386522554,27.55433580140614,28.748276176108416,29.00742488119912,29.360236840258715,24.965986043631915,30.061778963888184,33.07003831102528,30.936972713560873,33.65035004842224,32.74654663831672,37.779716428006935,37.76075369275527,37.94761061741801,38.34745689659414,35.90750651987681,35.124935085873254,32.677156950344454,32.347312209609484,32.56636804743622,28.087575156929326,28.479388621629678,26.15020575095318,23.133980957911795,26.113413411981252,23.299458066714898,19.913462282802968,22.586687331670717,24.273566063293497,19.648034087288643,19.055711922834796,22.904936699924875,22.886267260782738,18.025998833658363,20.51954549721852,22.99559512816272,19.357430456630407,18.34268754822423,23.17373360496035,23.3612970371003,27.50371001501198,29.06323637503372,27.734878053075377,30.20869059083188,34.645619773277204,38.50527684021432,39.40895512062682,38.23408758617336,36.73832153983916,38.37282998049256,35.110163129225626,39.506347844806555,39.54006757662335,33.451850396888815,35.30566536280406,39.6220457382184,36.40990098873751,33.597003888913726,36.54355261594467,38.13813369967772,34.26543320990774,32.53418604316474,28.940694576158958,29.206254254396267,31.905298423156033,30.634313016438597,31.324040815044516,33.21657001403489,29.85559960910631,27.373013076564135,28.89328960362162,27.819631121876828,23.254876808927083,24.061159692744862,25.40285233176264,22.897796786576503,21.357971704823193,26.360612730801357,26.071910769642123,22.124031762693786,25.012558875122533,28.859490452113764,28.451496745602576,30.600793435766086,29.12588621312997,33.28437032950979,32.74959533771763,27.52227017345893,30.682986022270224,33.297146780017144,30.674674750956527,29.011080133138314,34.99277302607471,34.98144228255953,30.20720221469424,31.98123228362561,37.07629768233276,36.251288388595384,32.68778985067025,28.51200539546555,33.426669004514395,30.42023156657618,30.185986798438226,25.00204436067021,22.854219092475027,18.361894677883495,20.50886736551852,21.23954902886872,24.77510978971355,23.82119821091181,23.670476509042523,18.68995843317606,20.436265043769026,16.085162075798877,14.868621163512634,15.12251852567515,16.929213271957178,13.357777584931345,11.354883623044394,14.212899631032784,13.182922655063853,7.998209603443162,9.803029211658336,14.01443549965835,15.07826077408367,16.08622436596886,17.282026941875976,19.16584514396024],[16.10437892770732,14.68709137099512,13.285321196413603,9.96847505656406,10.01161555561959,5.716498801654946,4.252533087720873,7.490141822926936,6.021954178169562,7.919794127417173,10.959901873454935,12.97536053780025,12.932679818174053,12.256236216611496,16.935069830973646,17.903315106542713,17.0616075992161,21.70845107243432,24.904101394424814,26.719956407006762,30.443660041161163,33.9052562312753,35.21381559452937,35.0392399539865,31.655296962250084,27.880597613807872,25.271938750995123,21.178894221817227,21.15172092134216,20.04473841874885,23.549354530474655,22.24538831782741,25.714639458181814,29.58691523525739,27.282364612438517,25.950212158379166,24.52769898498936,25.8785269591715,25.983304502036106,31.36267644657914,30.20873314553887,30.305258430300157,34.35700114719537,34.888080741438365,37.52138549788425,37.9966731224587,41.617251728790215,39.56320115816816,36.606381078229816,40.4476517854335,40.81597523561635,40.222814360807384,41.093024496270104,35.69707748990647,38.77389871614582,42.74320747192656,39.57952827550548,37.571269814437436,42.329428943249106,43.69035162050176,39.229915053885925,40.4622000641481,38.10270207490711,40.30497115677511,38.19820946620638,34.20358896440626,31.797253125963305,28.363443334037147,26.649355315093626,23.97611770959141,24.13073620969941,27.040403293637137,27.679948185626262,31.057616729345057,29.43114980406768,35.49395842274171,33.929988138395,36.28601620903213,35.141528192331236,36.30966704427754,33.901456673146264,33.44844065577185,30.537792047069214,31.93138197728331,29.67225261580313,27.66858649083725,29.78180002859073,29.893950036503487,30.146471089149294,32.64547241332623,30.688331295093132,33.724399195093255,30.278047771503317,27.94344026312347,23.20751277308255,23.927148396331464,19.67431049791685,21.238125466215006,18.381616247839634,19.894554544134948,21.351593930421107,20.41088239483864,22.38711143739225,20.71623182681229,24.401295726837436,20.107747884143222,23.527282557138783,23.654146333469196,20.12506577863776,18.756780176578136,14.217028179962279,13.600770230385454,9.368615237535879,10.923235935754018,11.240174544144265,13.07944387523312,16.429033983345004,18.59455504466906,22.75308349234895,19.791228349088186,17.63943151253598,14.066320096103937,13.148679037399678,9.963801885221498,6.387970146895174,10.0739716134677,9.232236822181816,13.141032058717636,16.261543383939607,20.455166961939035,21.50246769689273,25.37584905351507,26.457743962089314,26.09508310754335,23.109500158219443,19.196698717348244,18.64492626252302,16.623395646874457,15.694045913652692,17.589169878905647,20.725561032551216,24.884882373073538,22.901572111546194,20.12940283684039,22.549122975480547,20.034791668334723,17.1568695594721,15.196075732237622,14.398395353403709,10.968779633718965,12.721814987056261,11.884024046785864,16.724337428515394,17.054143672397323,17.14874690387016,17.45379565354752,15.322777066904441,16.222977549081715,16.929204225891894,17.300687114947632,18.07480283638522,20.769913020792035,20.705144325761005,24.72170220530101,26.173972847187493,25.019405934913607,27.310300081243195,29.768216894739858,27.680939706484796,24.007648224132144,23.633749054597832,20.972197483580477,23.4459272791392,23.681462326181563,23.827769870864376,23.827429669505356,22.25239066228368,27.088382691977934,27.57037173823675,28.03226006369526,27.630385642771238,23.65178043182286,28.52967873516105,31.28983732679077,28.851188322090906,31.430653713258224,30.32564966105489,35.31020920474997,34.94259368043421,35.31160836967614,35.69157166245934,33.5152319020064,32.75404437070088,30.44973164633925,30.382842440677997,30.759958742141958,26.235710592716536,27.176750311208718,25.125016349743735,22.546565814412084,26.02360997437263,23.74151615834664,19.994382960509707,22.53623659794992,24.907635310146414,20.586295026649566,19.15847926271447,23.512340970047454,24.376677341467186,19.35108838069686,21.562527285656042,24.535291242997687,21.394811456260467,19.82313328998739,24.527647745679378,24.163101892792977,28.869978082478486,29.34894554275629,28.27795072711924,31.18484521051782,35.38847817016823,39.53033735120141,40.18904626682727,39.2221721589558,37.46788018934085,39.097576368226854,35.76012901322753,39.86248729104154,39.832395853236335,33.578460978623404,35.30495147363285,39.361050538004015,36.004997817900026,33.05789644915206,35.77826423141703,37.17889511412698,33.30161925563266,31.226305955933405,28.176565935880973,28.64018923619842,31.71409171279351,31.02660608565567,31.965066631271444,34.383935419151,30.94997049908885,28.11200405642044,30.238081493427607,29.534322576612784,24.769052414574436,25.548635466748976,27.51938271766532,25.300537858318844,23.416448874845937,28.467615265433555,28.63820550781572,24.797989776907237,27.198651328936265,31.05884895267305,30.21797073775654,32.25076002346104,30.495062740858618,34.434566814257856,34.00879915317867,28.50525262673375,31.349642732744243,33.89232395190214,31.226737640936687,29.076429167699086,35.047056444197445,34.99326085298164,29.940417445367707,31.40198072797297,36.618559876194716,35.74003018153972,31.990387252163163,27.79100461843354,32.54979475027631,29.48000421364608,29.893206445998718,24.550497407565896,22.758831369226066,18.534979914868018,19.900862096028906,20.300490850234528,23.528819051270347,22.415613046253053,22.859417819182998,17.677135014541324,19.491821404042007,14.796266260661671,15.010186053986518,15.961139888319078,18.468927737606027,15.436828572831008,12.71583324266221,16.21525830931452,16.059610833644115,10.576132894974856,11.771280732611364,16.526203729528156,18.267164128703453,19.475635298762207,20.66406992592868,22.550603239219708],[12.131103895056182,10.572523885904099,10.003365438017,5.686332907073286,8.655409637550372,5.740333669703844,7.629137709400615,11.438005887154981,10.924541995947198,13.106650945243695,16.05285549378766,18.048267559845492,18.131687820585793,17.18438059120934,22.03627551567915,23.09334569956032,21.926752123098648,26.510822224601252,29.248593630998027,31.221006622238484,34.76482447272953,38.192641619549796,39.284725891120345,38.7554608003209,35.478612640132354,31.761789118062648,29.272979049989537,25.396925587145432,25.87802353923839,25.047464560915984,28.712036166235116,27.438032268576322,30.941222296288608,34.815784265921074,32.42547696991363,30.957349176955148,29.453987068535046,30.433096230863644,30.170805489212718,35.33078029006025,33.917179050827066,34.46720436815023,38.547476671785056,38.67940199593562,41.138871956914855,41.207788679375824,44.93371479812273,43.18752072551845,39.83792543314291,43.556882200165774,44.3607533298559,43.79126278503765,44.96174623458088,39.595632805332166,43.0203694058542,46.95423771186624,43.74531569507783,42.08440539723746,46.883733912718384,47.984856024455134,43.64772063362094,45.155324587329275,42.97634620450839,45.00722297980566,42.70918411081406,38.85537612075384,36.365654296785735,33.15162273049073,31.139140159318444,28.669382157437678,28.49092572035871,31.239701808222804,32.31256304960629,35.66919928566998,34.36267371965533,40.500449420203005,38.90174076272423,41.40456103551457,40.16338428092893,41.1482388315378,38.708433056038814,37.92885135993651,35.04644819820137,36.02047778513847,33.64067521982456,32.09416609763187,34.38838506266498,34.76866091437452,35.0733621947935,37.79759451749517,35.83478728269419,38.86740541725689,35.43863225679505,33.152032510855946,28.407771969694295,28.999456105568125,24.711401779976242,26.42916363889655,23.496463054788492,24.560769265147833,26.331546798684276,24.79616535343599,26.991367863797606,24.612851477641247,27.85126060017685,23.03294990424738,25.84089582037434,25.28100822677152,21.234341234267415,20.774642339562824,15.975760741154499,16.481825005217374,13.09632132183455,14.473515719365402,15.651574515386358,16.681483447207487,20.394694290217856,21.789086633396735,26.453781261865227,24.08362147410177,21.579258376734025,18.180736875826906,16.221840386665363,13.270061788527093,10.03893810890982,12.406162986771399,10.723738148318247,14.89396170858816,17.57061544250318,22.385341968729147,22.159786268353,26.22889860912703,27.605703370146774,28.038359674139343,24.660689694798865,21.26910421394229,19.274794678864026,18.027723385798897,17.238225936524117,20.004147256560614,22.759963260396603,27.341616826648224,26.09224446108875,23.383750661890716,26.140958705865,24.237475467952134,21.1477318216438,19.645888466146495,18.624893670978913,15.534051069283652,16.5415420944281,16.061300184287397,20.35881104319397,20.24365102989168,21.27428620042413,21.876856369922535,20.140053428765366,20.536069982137644,21.701236175343414,21.206459593450038,21.688799008356444,24.94642183772242,24.05380215854088,28.355073894530943,28.939934989381825,27.069611883696652,29.083322279769174,31.020470214059767,28.488236501153363,25.023188923391867,25.039829101533698,23.029732831582624,26.211758287835117,26.958952479532392,27.63890839135806,27.801818778257385,26.76679958063611,31.41542263151929,31.658366819724147,31.803765651158713,30.95119674369107,26.71831437196229,31.079869176349167,33.60086630992099,31.22082922745695,34.41124044068527,33.656154360448255,38.39087104750892,37.63632595442391,37.697221797487444,37.66774141326383,35.523272602575084,34.185985053759886,31.597894996428288,31.211954509109162,30.975086595433705,26.218521115581783,27.018330221343337,24.310432545994498,22.374748849379937,25.204818884201536,23.434085430060698,19.594661962284302,20.968195654430577,23.479493745838493,19.285995831128165,16.65280718514681,21.020149892037185,22.53937743443607,16.834110496752267,18.36087036435207,21.559451285247118,18.75626677227047,16.23029144707052,20.709311525927433,20.243967381509457,25.368259920332264,25.469539904281223,24.983053276773376,28.059795395141855,32.49839092450203,36.47883600381008,37.47603431304109,37.11902529907372,35.70827822517029,37.80141980142779,34.969673099182295,39.019173674306586,38.392001290062204,32.22184736439615,34.52081348044986,38.18387793414726,34.4024662846962,31.886614749875704,34.995490274805704,35.60596808472651,31.466277548240107,30.315064681454157,26.92774456136588,28.522699490721184,31.51299734227781,30.596460671070247,32.18116916588257,34.52503137692891,31.716489906416058,28.377049213633338,29.98183306258316,29.924557154480436,25.184373693171064,24.990572555414655,27.065916581070482,24.996371732513477,22.374873319965385,27.18585263696098,27.508850991589487,23.347709875795967,25.135342906402848,29.077866081778506,28.066591505568613,30.552056600709168,29.251738022103595,33.00786203502283,31.91049768312001,26.3869911888781,29.67932814826606,31.617824491170563,28.617134743934606,26.888276291333263,32.843799835646315,32.073268506215314,26.996718008501976,29.049751875209207,33.980800311869054,32.541836917741364,28.721595655876698,24.242434738906407,28.726150650444332,25.28888244649066,25.67908660333257,20.23852596621189,19.0345322028422,14.680565186208343,15.458069428587779,16.4021441439773,19.771067844813174,19.33022261368587,20.29471586989093,15.877659433395396,18.736823514789958,14.638526829553697,14.096612755091497,16.403509917374894,18.566331970225125,16.651421483219966,12.808381083298007,15.217237204258733,15.939239515552108,11.292105848912426,9.907963522152968,14.63934464428235,16.8906361307798,18.39481601374346,19.850849740990196,21.791644289111535],[16.809989935215594,14.76075922237926,13.401200612814431,7.915493543323451,9.715870684265862,10.453133315650822,10.720257944621453,15.20100224501504,14.436845702187142,14.653906443772538,17.91744286708481,20.85494884920409,19.322532662477762,17.644404907759636,22.852178072801674,23.903501944274645,21.50720953476341,25.70504600759724,27.336482015844624,29.626279070661237,32.67580314417649,36.08913256460938,36.69396121031307,35.65637529487,32.68995201694821,29.042764555256696,26.991167386632885,23.557903713693282,25.076524857086042,25.324461552761825,29.18226119437127,28.732319126282636,32.58361237131031,35.84777873451214,33.12260505388454,30.87806153543168,29.871908549441265,29.52681174404305,28.776360811940236,33.95787750951764,31.64925222814275,32.469352269605864,36.671986370552524,36.20369449539085,38.181808043917634,37.79880379324877,41.63867086699293,40.471355144541484,36.872070946166914,40.6471787731081,42.05140092394447,41.81416958598592,43.30736092644043,37.92661181676947,42.0619079414504,45.52263550104127,41.939830518409146,40.97168268003328,45.80205999876322,46.1806551821495,41.89565895224761,43.82269074397955,42.10599364637763,43.55028616704543,40.9043816393625,37.47424341064631,34.72410927974468,32.11405954812918,29.599927325278525,27.881719965928557,27.139825996557278,29.892207123005242,31.551762454395142,34.43098869473608,33.84940818080302,40.10040996688594,38.31603125148007,41.40455750082268,39.983551377653065,40.608671686207956,38.65354195706694,37.48092584915493,35.389116128154186,35.848843810676335,32.901125115680735,31.777847521377385,33.6896667199,35.01078923466107,34.68948016543618,38.24761982871612,36.0346234751609,39.152041129114494,36.06156823339046,34.35138546737093,29.635315207276676,30.56993934459978,26.250261605307102,28.528736018830944,26.088732880867642,28.18626993777852,28.776749114819626,27.813387554917394,28.869259077171176,26.833522919491877,29.218132030287858,24.431835975728404,27.50897098154186,26.331924028664734,22.6391885583969,22.828039691679507,18.13735687991051,17.52015802912584,14.617080696187575,14.089071255448962,15.049387256024458,14.559402772462684,18.327131161797336,18.52065500486268,23.58860781983537,22.294334573026948,19.417360745117698,16.560097105303495,13.24056482888478,11.066172942568095,9.391187166638948,10.911855537230602,11.96297106847984,14.912560614623317,17.86522428493373,22.694730365115994,21.712505758821933,26.228002256214307,26.709370951191783,27.897722855043536,23.472738454834126,20.141455360775197,17.30673572300655,15.370138260140111,13.677822172118733,16.985987728035628,18.539630252319995,23.329355712020877,22.82849376664293,20.56649615942188,23.817679001717504,22.894138515657886,19.71170450441263,19.510463556386785,19.321217326830233,17.36665646440421,19.462577501444713,19.962305190937574,24.62026730429445,25.356390796235942,25.667417875834435,25.598728464350497,23.037448335053398,23.331157664432954,23.42090216305754,22.549578968600827,21.379748588777584,24.384039035569437,22.117210406618764,26.8450489480477,26.6097733699848,23.806197293600423,26.277337261474123,27.5145783085553,25.267189253447675,21.66424889634815,22.44637157193709,20.59268344347465,24.58373418796137,26.05703824843225,27.356742377317925,28.43426894568163,27.523544347335957,32.528200155142194,31.799338479119786,32.19448145129529,30.238966470563415,26.785542316856578,30.55628450787326,32.56682727372451,29.80039746078691,32.7581289312238,31.75866469250066,36.2065670060996,34.83043960781992,35.15174152072989,35.00514765318436,33.38580647653505,32.006615203860264,29.686533099435525,29.695642743091817,29.607331236540258,24.909817552946365,26.56708519846008,24.318512777482688,23.29213175338937,26.61381427649224,25.73262209548474,21.63210329202423,22.57802198820976,25.940691763086825,22.412429488072934,18.71117605024661,23.47318513422882,26.155913719721823,20.569728230004998,21.53931845595001,25.21418557520239,23.22104545795256,20.14328326520819,24.071898414395687,22.838357838853472,28.5430123474132,26.97203391396255,27.01094878571148,30.617290708997697,34.599016969089824,38.8609672565658,39.52910506796728,39.55628312078011,37.843148207213865,39.932985655194436,37.10942231953844,40.64307914602965,39.86541194659288,33.61598315285491,35.733052172622585,38.860565722339096,34.884768615471685,32.30002844714934,35.019763405243665,35.16706993819433,31.088319298512214,29.579455619739186,27.153340961427347,29.171867770485793,32.604458467592565,32.52717509142634,34.462940758174994,37.440970770879346,34.636948282102914,30.912745670849944,33.217380098745956,33.64136188632317,28.79536948687302,28.55297694884937,31.31914040389287,29.629881100340988,26.71004931741675,31.409112909417917,32.26602671232017,28.340510272510823,29.49501125853583,33.3339900986747,31.796918105595733,34.0855914527745,32.48572616311574,35.83048439382826,34.851224197339626,29.132703523145462,31.904150674050207,33.60622025197612,30.600807276821087,28.267060488733573,33.993840824223426,33.06691799675183,27.72033476360238,29.28962003549734,34.21319592343981,32.61707637575073,28.587050676723425,24.188226349720743,28.13671065449154,24.607937278821503,26.142030636392242,20.69760398821814,20.346529335572935,16.832083049550707,16.00129817984468,16.390242462813543,18.926820903222232,18.42109580780055,20.54889295690926,16.352782533586304,19.27389180478477,15.211707479036154,16.69008146742965,19.687469821569223,22.47626536050797,21.138575329438577,16.99537255873064,19.870799772855396,21.30479467140878,16.553343942605668,15.154040510509176,19.917015973748303,22.622987333438367,24.211224176183908,25.569709916945737,27.446477263730145],[14.172706081976363,12.742892409944949,12.921142053571028,7.519628235799814,11.736697460409673,11.514401706017807,13.031572964271248,17.230471271181695,16.218204193776042,17.284676093942753,20.179911044649565,22.950323655392214,22.348100931960996,20.44986656454115,25.61881724660711,26.98102029081031,25.023803337707644,29.26249912555164,31.048738328516105,33.53898186199087,36.59047413063219,40.1503762340817,40.70433830563064,39.716787597346936,36.83859572984573,33.082711135207674,31.13922992799493,27.593787397274653,28.888226978192083,28.889163533454997,32.34303755389351,31.875194462634425,35.480824860123974,38.99339871404405,36.53055941372058,34.51387646369168,33.52038105068609,33.54522321917868,32.952479298578176,38.18797453924592,35.95400369109898,36.65096643490997,40.8848369792522,40.493289992792,42.446942469465256,42.06697787944508,45.92184208583154,44.794579261281314,41.20360606183933,44.99466649585585,46.39480205232665,46.13714361606397,47.597794389070614,42.208726268227394,46.22852662396016,49.758506588483,46.18974876553312,45.08577231540761,49.91315531267914,50.3887207283684,46.01219879331697,47.767872688000395,45.90130717706189,47.33953586227502,44.85490511164222,41.39411082499491,38.421061315314105,35.68375675073483,32.98237885090604,30.963857726958967,30.147155084387865,32.600817415732934,34.43583261124096,37.63483814980758,37.11083407883323,43.40807225749576,41.92515697735624,44.884492655596596,43.67349715710289,44.50755784928375,42.51154305253542,41.51181396235414,39.21168227204196,39.836482434850616,37.019106273747866,35.768471284725905,37.70278036259635,38.75794870279174,38.457436532738015,41.69919181502269,39.37324631136386,42.266229744140354,38.995995885990645,37.12738998674857,32.37599152086386,32.900900866310145,28.540635279302702,31.04687432325549,28.48225985310345,30.15017762273086,31.538328313484495,30.413859416475216,32.06360539977928,29.857841819278068,32.5744458882142,27.64873462701319,30.440867498098953,29.278858309375465,25.26711851541947,25.51182593248191,20.719361495837287,20.859028011632866,17.8206761784516,17.973150213328935,18.82822009197221,18.66711557978662,22.316192794126895,22.592178986763948,27.375248008173667,25.940344779242007,22.92530329515276,20.01210202616067,17.033863846309178,14.997183500450902,13.062354456212773,14.989169351575748,14.92003640452908,18.373946163167595,21.050247080047956,26.048734022791336,24.81926683085861,29.22560338764031,30.1159344372446,31.379626875108656,27.15858580540647,24.0191239200624,20.918157409681243,19.46814628126503,17.968268824708325,21.318247108067098,22.74888881289499,27.546715102807834,27.06682756977905,24.868225863562603,28.110575355544473,27.00693750274421,23.851079941046027,23.343699403312684,22.934174796970247,20.46612859472312,22.065652337409805,21.919254242867655,26.378467056806606,26.246197648758375,27.0959313953117,27.663056269479746,25.567422143544718,26.040030456293692,26.615273101220925,25.938703061119185,25.321586993440615,28.414093067695205,26.40078195137828,31.089864648972316,30.898084828020256,28.060576851924036,30.3886735420051,31.51176853981132,29.073987194888687,25.625413919031924,26.431130215839918,24.76786491739353,28.746321717400512,30.136889647886186,31.333142674465446,32.13640018318725,31.1715328487885,36.081682473584124,35.6808781944884,35.97185864017679,34.280115390752975,30.536536175604727,34.35533290318378,36.43075587370061,33.788650508854985,36.9495517454671,36.044252774216815,40.509500972536145,39.110805876343306,39.33444417852808,39.08621369010938,37.38636746498319,35.813282745194435,33.332984222622606,33.09497208795905,32.64981595536405,27.87128833340586,29.17624598208195,26.420090252801824,25.482110139247506,28.17654899950043,27.252074145288578,23.292891944350572,23.650189732859833,26.678604704485824,23.03170964407272,19.030949168888984,23.459469478701795,26.036661638922325,20.053204389817196,20.603474980482183,24.09922587084904,22.021952858056448,18.429877493073512,22.173707196406422,21.281207533405862,27.00580796555437,25.812988390589826,26.308290641886078,29.767732381471486,34.117871001037535,38.03161730871505,39.16854239300555,39.55762890752532,38.280196782993485,40.696585641187575,38.24839219757594,41.9299286594195,40.80066587393732,34.71383629483998,37.27122437836563,40.297040911346755,36.119111789349226,33.904359316897114,36.98904564633851,36.71558353494893,32.465881536903765,31.758208722995306,28.84296941186179,31.403173357745082,34.58449579110166,34.03623507983835,36.17178532297732,38.7873604383965,36.33039842315586,32.56598044163372,34.21764510323915,34.74019737315827,30.018713694146204,29.27413817467402,31.66710238821123,29.85569825086783,26.734291889268082,31.22781795486072,31.82364086475593,27.57939641860915,28.658190337425697,32.5432098478884,31.217766037427747,33.94096835008647,32.862082621014764,36.229089343646464,34.681515777080214,29.148703409790002,32.45367672036486,33.746882923678754,30.50302848785348,28.817808984324856,34.52259695176864,33.02439967244299,27.842117113224884,30.078695613931668,34.68008586761617,32.611716597085625,28.630302227593166,23.98665176480304,27.673372266888702,23.728139736843573,24.917758994946535,19.45998163498991,19.64499044407573,15.848507508185518,14.698605665110144,15.995419463098937,18.792201277650946,19.09215125830618,21.351960651541493,17.868427183327245,21.351921436703115,17.726250366636,17.990244492887754,21.24902664204568,23.494725071340874,22.29936133595214,18.012834554172834,19.964972838041138,21.308693996343898,17.133435832457785,14.685031000269936,18.982412043877368,21.44186920289399,23.0241311307635,24.48786530870427,26.28514433507056],[15.624981348021864,14.316431523184303,14.896043429402152,9.79895473003573,14.25113854812289,14.936631029123893,16.606331543139447,20.882117338953368,19.907233606763654,20.76103878203417,23.621173934702426,26.552840060387492,25.76196326974095,23.632291135031064,28.84243186594189,30.272020770721706,28.03369261476762,32.09891171943536,33.44669317709319,36.09575547653918,38.90255345158708,42.45167193657606,42.75834044102602,41.51843415936492,38.843569969750995,35.1511338395814,33.44764160976751,30.128963520580488,31.775074817989516,32.087336991441944,35.51406579134181,35.2879966360103,38.935431494958486,42.31429561278239,39.80227183674823,37.584722333340835,36.731747586617594,36.36124834151604,35.57599579597071,40.72444570092012,38.166956202664906,39.02715919337602,43.27572405112764,42.59677919301048,44.30128065874049,43.64757803730735,47.53517165280712,46.73101024142817,42.98415727268146,46.72399553345029,48.44927264004635,48.31767198348529,49.9531287052837,44.604064522132596,48.89854672352488,52.25415003481063,48.56665406061814,47.76179661433675,52.58376269238562,52.760907033563264,48.437294476979865,50.3508440391607,48.65808055892917,49.840023397375404,47.2467626124984,43.98563013304057,40.86780100946503,38.37693301909638,35.42216206160072,33.642955837075135,32.56108357036158,34.856990664071,37.01517509098747,40.100098821690324,39.914524339613244,46.23794818211202,44.77349494918741,47.91368419330089,46.68092180820812,47.40324699562153,45.557093160749226,44.40093559829411,42.32009589770285,42.71892282512075,39.74415986992859,38.713527405439635,40.56010402733337,41.90170295705231,41.42270868775794,44.887533556823186,42.46151968914519,45.31019524364732,42.12185291011562,40.41185164226921,35.67947588146692,36.18173175497252,31.82313067697964,34.551068790897816,32.08314586634669,33.84980230648127,35.14566244561385,34.02769367898651,35.53179986785863,33.251007119372034,35.68387091510082,30.674499130932997,33.3120716529565,31.819639119929256,27.801081411387308,28.447493814870285,23.71362781120026,23.921047961362156,21.172957952659765,20.987539051939535,21.887642181640615,21.262300758555288,24.841848109952142,24.577901845226947,29.393517481537994,28.44365995710231,25.279986569496224,22.64829172392383,19.28171436152629,17.675024409426577,16.223143548297102,17.704024998668867,17.93266888986655,21.061453433711705,23.55293188810786,28.59390813012137,26.77877626816715,31.240124348427926,31.99208801538544,33.7146990523509,29.18771954918499,26.332167018075506,22.641951120933868,21.367654723909094,19.740728308040232,23.32248817842029,24.135063751376734,28.95395697502675,28.95591701929837,27.003372507788878,30.403411474036307,29.719960324619986,26.561430243090655,26.4429836202606,26.166803930888143,23.952523493968698,25.584655483659517,25.60393982562659,30.013974256403696,29.852642653008672,30.78984256283341,31.362273356757502,29.220342792805333,29.61296054940836,30.091172457216818,29.20070546648781,28.201463574088415,31.311287723127776,28.79581426803694,33.588166003402335,32.92428077926855,29.627072344717153,31.942905485061527,32.591029918750195,30.13710976313646,26.858560847971138,28.035613935295157,26.704408085272537,31.019516672433063,32.71888536474439,34.187146405870834,35.228363882545956,34.408365943687585,39.33624777983027,38.666254450583295,38.934811007574815,36.86786353878252,33.285146535736146,36.75243142922605,38.58363147744388,35.89665278267961,39.145318856845684,38.28385329383982,42.530571302172675,40.82012968798895,41.019333220204416,40.585525796311586,39.094444467151064,37.30947497627475,34.84564236764554,34.59447451656685,33.92815700176431,29.197476485583824,30.641402366265602,27.793306309435284,27.417805187004223,29.85312657904916,29.39165628787936,25.47516770022657,25.18894938397684,28.367310277427563,25.07791690729643,20.45836315522563,24.71630750509784,27.799050021972118,21.791442044038238,21.76217340140417,25.30136332936373,23.69786585448816,19.634020935947618,22.79330701539646,21.69557650279435,27.59334029164179,25.700387823168807,26.79045448730272,30.37599134467122,34.63613704005067,38.416834179686425,39.67207564858637,40.531734488817015,39.40172927403467,42.024557753425036,39.87903953309947,43.344344964956626,41.879705953488596,35.937968797164906,38.687758330902675,41.30872044329099,36.92260605582254,34.977452111215726,38.08615349855137,37.244507711888986,32.963614615943996,32.68901382262766,29.968037467426267,33.11943917665223,36.30321979667991,35.86743877561938,38.32989526310388,41.01373518768665,38.8464329960013,34.862567740764455,36.41263216833475,37.287162929823886,32.64005913057662,31.516634674897773,34.02467440235522,32.378817266501734,28.98481813679822,33.21528563595832,33.956961044768626,29.71248428446938,30.343402255813345,34.13738769163525,32.654774476727525,35.5140528510949,34.63166310193028,37.73819257195008,35.88469191698976,30.45338702540362,33.77987176312289,34.634669403802484,31.277917908474816,29.74165378075522,35.20382590860412,33.23720963444484,28.123743285455298,30.523639537793507,34.80515867049067,32.3420143992667,28.357201556489194,23.708214748048768,26.79649015049588,22.59969081168418,24.179798870256995,18.91573058950148,19.95992785100898,16.66634973379718,14.467793468355783,15.993237372404886,18.327220714696903,19.182085676557325,22.064209860939204,19.35173824429361,23.12411779183464,19.97030529382674,20.366136266373665,24.04797138453737,26.2132061000617,25.467587648629348,20.989462049584926,22.564005749899003,24.23774221622604,20.432027590171955,17.423505783087858,21.36497559177965,23.90720934165078,25.524948220833057,26.98787772506003,28.70556172637845],[17.09423073618091,16.746457370132745,18.58886894856823,14.04854166171657,19.105690619382113,19.030522378196537,20.9101221558343,24.904681459633224,23.38504157129821,24.365332181049748,26.78196450378386,29.804009565467176,29.536964520580852,26.92353201860317,32.03225706478318,33.84077685567176,31.800361729798002,35.703543462631785,36.92068563687103,39.936210139414456,42.56759350375976,46.3363414529347,46.426971920382655,45.19688591766939,42.76923746341649,38.928305121949606,37.5477939383921,34.19128167815009,35.78421896810321,36.13930357948342,38.95907963942299,39.095875361223655,42.481564906093666,45.89833684191941,43.68656976802605,41.51341643900714,40.958187016026145,40.66552065986431,40.05005680218243,45.39227605813603,42.64254263755232,43.22456262017002,47.55833291061313,46.906300284375206,48.418955938319584,47.76414862512444,51.6679744630569,51.05196206760595,47.41240505183286,51.26763060182138,53.05361913397176,53.034932359694956,54.62431151159651,49.237126926156016,53.5275149277861,56.77126029605232,52.94432883195506,52.09637124969148,56.89865814815025,57.00100769519875,52.50432326568507,54.20876269591859,52.42825400577903,53.377807894429324,50.97601217601684,47.828044295940316,44.288480079314574,41.82257707393602,38.49379638704184,36.57035443586018,35.251916825642596,37.106535435517884,39.61794885530876,42.930245111965974,43.06261553293118,49.41406791159056,48.36658522448023,51.50683361003432,50.56992197678419,51.526381969135805,49.87723592658044,48.955100528213244,46.92620473216986,47.524482660799016,44.5382984479765,43.30662636239569,44.916747930944986,46.181097917717466,45.408300849699785,48.669164771275334,45.96634294721106,48.47590309812289,45.20444162323363,43.5387847273474,38.845292802511764,38.93297864090864,34.61197733533824,37.83210200473016,35.492567535616615,37.23113280247667,39.016722122155166,38.16169930186465,39.912967725294976,37.83411085258422,40.548622782454935,35.57690310992348,38.212540547675495,36.806652855033526,32.702049879669154,33.260879393274955,28.49289192008597,28.812642905575398,25.802854589845136,25.737661207900345,26.15257034568839,25.558635302078084,28.865471235096987,28.49449210362664,32.83877602345951,31.95732707973807,28.609090563362212,26.13353519070418,23.028163302579593,21.821320663686475,20.586335179026378,22.599580078960695,22.81329136644288,26.11412264440983,28.615388540014155,33.67119283463058,31.845673363920767,36.26990802719048,37.08628586482996,38.8284800492608,34.311416851876075,31.438158842939742,27.739897177856548,26.38940131546814,24.541663998162992,28.054949093532528,28.387734351266825,33.105957623725416,33.11129048215925,31.418244396830836,34.88439616163827,34.12922434220015,31.055064993578718,30.929985293396236,30.80193901318302,28.32084211508088,29.95836609222193,29.41827585792763,33.80381015548292,32.9235358546805,33.98491391077829,35.061194064284386,33.1192185073474,33.87488177531979,34.388120687880324,33.91867305372557,33.07479335473685,35.96744532264112,33.54543171502556,38.359866899332715,37.79288779277815,34.39276062273307,36.86723420347121,37.337145503675025,34.98022694414892,31.721359069306914,33.04254655906632,31.684980193368645,36.01762249901141,37.691213835532466,39.052153543367965,40.0399102263747,38.975116151064015,43.99115405148919,43.46548897615426,43.83905578270523,41.865478507937596,38.31946564783025,41.867457893632825,43.700153480374404,40.981323876400296,44.12127028863807,43.102626662088205,47.367094286398384,45.55287840752653,45.89787212099537,45.48071036223808,44.09396337867807,42.30989885809745,39.87470195045242,39.61397928809604,38.840116711933646,34.12887230794955,35.50013918280198,32.48007190763118,32.19398106036415,34.297645935440634,33.81833590642374,30.027382377650493,29.436056270444816,32.34881127915628,29.04348108587216,24.386200901031,28.248369464369674,31.16255501635644,25.046792999443362,24.657306690109856,27.866471177304962,26.229435999903515,21.89211841470268,24.60517260241518,23.907426221987837,29.586250964320737,27.975753624582527,29.59011164920192,32.959209535581955,37.422782813649704,40.7804751021733,42.46448976105679,43.6993415393216,42.94493350022693,45.79800916784214,43.95571240097637,47.46026354343977,45.733251007955964,39.98924356289564,42.99543197259955,45.459650513894964,40.95612716548059,39.297784365998325,42.560224368964434,41.35937802137107,37.03685524708255,37.2577459181123,34.40335296234181,37.85311626364418,40.895727835392584,40.2195300785009,42.77050938605614,45.20357527529403,43.23357429733207,39.2912786524361,40.420809163410865,41.2944186765431,36.77203105273308,35.395205281233835,37.55104658447589,35.7904724067778,32.373818014270235,36.37069563761312,36.824197987455555,32.37203096226649,32.98945454951903,36.73732305067484,35.50102501248426,38.68634520483038,38.23944047761464,41.31199142778187,39.01451595951197,33.85319750695683,37.51243182298075,37.99423935195793,34.503168327807096,33.49405876470646,38.78983968084394,36.32508964650252,31.47258862236821,34.296815208852465,38.190244357307826,35.30405201519793,31.449783897249905,26.780931578673325,29.289489768591288,24.800434165388257,26.2177718176206,21.311333551104433,23.019214819519995,19.804645982923066,17.286855385135503,19.442916560663072,21.63000138716729,23.114841724950132,26.128167202388067,23.95528626692668,27.90050930522299,24.922283545772387,24.811123761862408,28.45443038185838,30.28313567495142,29.436713010629443,25.09480185624147,26.119099819371367,27.501100271687996,24.07201776403292,20.748346391913646,24.142619372554872,26.19734706434039,27.677456847350722,29.115544608905505,30.659226854145956],[16.147133133228202,14.984921368677698,16.213669798920467,12.394486883301006,17.230175560957832,18.817607878427705,21.208668309417472,25.438538377764562,25.017281546395974,26.248421784329622,29.184254086649556,31.897466111446576,31.213813233319836,29.313389967452952,34.520044014302485,35.84275996626967,33.56137256211656,37.64404260021306,38.85046006468961,41.39046323726046,44.128324336457794,47.516095467824,47.75694764480876,46.286698845594366,43.66024365294186,40.15527048054238,38.430229745614824,35.31220057423472,37.12779670887932,37.43679079894848,41.13733741895318,40.68903670636394,44.40453005067132,47.84301316974728,45.21330063680691,42.99387348002374,41.92437642174674,41.44261474352075,40.41109491652717,45.231731487220316,42.6699672515662,43.93843442644332,48.09450832141892,47.14615044098869,48.77319306006926,47.80637548837291,51.690840814141154,51.07495207283395,47.03957053128441,50.550236900326745,52.57253634047513,52.40234322652652,54.261639874279034,49.03074656011024,53.496303085528844,56.86378982654554,53.25513030024268,52.69764114343051,57.51685738552876,57.55421895297691,53.43431390096693,55.58784051414306,54.03929170405784,55.20516404899407,52.449781636692975,49.25881395259152,46.28571376315868,43.91446482404554,40.980919495516666,39.33512656683632,38.204209097892644,40.474470668306715,42.718236900870686,45.71389791571518,45.57770419803829,51.8834636419453,50.28491675550379,53.45907273527147,52.07788052413968,52.61455652380072,50.63939130209231,49.20416554119446,47.06506471833047,47.12923697873357,44.16525158474005,43.508987133234115,45.58911742720504,47.034866964590975,46.76792671188726,50.3557027317881,48.05572264100473,50.99637860660658,47.82299004010266,46.06833302782891,41.3262036929565,41.84973515165362,37.4881718369017,40.037356953568256,37.413337729091495,38.80792337433673,40.25007452162607,38.62840698532783,40.29872292375815,37.50179821166483,39.58945181459825,34.3497985695775,36.439171780537926,34.49670853998505,30.342442917060875,31.599387073186442,27.032562191574176,27.913166244637203,25.723691498493693,25.695117069747297,27.161435249241922,26.40607462950198,30.100195859257944,29.55909157324923,34.595549113347644,33.91954869118353,30.77916317574578,28.233359219319723,24.631446979938417,23.019163520088053,21.474320057703267,22.203077366577304,21.76338104455506,24.685524096553845,26.613785735642086,31.70288137691286,29.0349905161631,33.31920432360688,34.29632512023165,36.57506824733793,32.028814953213384,29.78179107901617,25.34148809992065,24.90886350936687,23.724152572073862,27.533659745982316,28.255398610783462,33.07896558180026,33.59914355729626,31.652734723283494,35.06063528219727,34.71269236597494,31.500377259178997,31.45578798436587,30.897960348297346,28.81139879904838,29.940946420996553,30.1976197128651,34.23100672886466,33.98831994125914,35.45244821166679,36.075300161898205,34.17570225991538,34.19454348328826,35.03402571005114,33.58294715288203,32.58063015817953,36.062423155741286,33.208902014329205,37.98348899446097,36.72601183419726,33.10771978771019,34.9612473694778,35.163414296781156,32.393165904260606,29.586263096026446,30.949200299200065,30.25595732722638,34.80000154939092,36.754056175455084,38.530708705028516,39.58444634617712,39.1948171034207,43.881423128488365,43.10100006981176,43.07872126752871,40.78814454969483,37.04076801229276,40.01613128336519,41.61417456790131,39.10933152798104,42.81730878504582,42.33625895311487,46.283913965479314,44.34843749791251,44.196969353256655,43.40009001964896,41.932136648838714,39.67551368981384,37.04005917221726,36.47860110019946,35.25051631619689,30.623575775153146,31.827323345072642,28.596093751150306,28.924978484837144,30.566283785075864,30.695091900583975,27.062147604193406,25.667969605677808,28.73597623331289,26.040176449294695,20.75671613117128,24.381338984877402,28.002746883114703,22.1741399369547,21.206948861027087,24.58592066734735,23.807779648494762,19.226334445096697,21.27122288795601,19.960208089117376,25.821615195324128,23.142397792613075,25.09011403162072,28.65901555276676,32.788108146693254,36.21118976684735,37.736031084848506,39.308185046169626,38.57079988535208,41.55492709085688,40.02768115906584,43.23160987463003,41.19242364962905,35.650288621679856,38.820204111564735,40.85636627695019,36.21526109533675,34.85812171068912,38.17523934391433,36.47387805129798,32.15982487991718,32.93375650855136,30.128285352866165,34.206341210518566,37.13378186713671,36.56491975440387,39.52045771319935,42.06688497629924,40.544347283022674,36.297843961061176,37.36465455459625,38.81127550582311,34.42997599913937,32.56279603905317,35.085205431261265,33.74022852782177,29.941206307704146,33.58196866565464,34.51963132152258,30.380068327006782,30.221227320385328,33.76650748305791,32.10805037426966,35.189037916352135,34.77061416793361,37.44096536675661,35.01423962620712,29.94357200370965,33.40175647422709,33.4959285610184,30.000529510443982,28.999492155507536,33.98773783208943,31.251154412544256,26.48147756626363,29.35061737467267,32.95969153437661,29.889398445475983,26.07237484320593,21.504044969347284,23.687969028936628,19.195124457220818,20.9280039673763,16.218615904316742,18.466871051556442,16.070919506551903,12.673296017067335,14.70370361031193,16.41041370154253,18.2935385627216,21.636496153171993,20.40995426572952,24.574942288143276,22.42391797461609,22.326608095029513,26.540579086357855,28.294256187805523,28.439782814150234,23.730912063563807,24.3862392081216,26.60325956896841,23.72565626866388,19.708864836914664,22.784818098442365,25.470060488774614,27.156373810038446,28.637720683982703,30.220439899409875],[19.798400217101626,19.12545876712972,20.788367267234168,17.053650293875204,21.86651040496373,23.30130431646698,25.545926698975098,29.76650960770376,28.950659013634912,29.94302632144889,32.68009815455038,35.63195867216863,34.955119207351075,32.627055244304486,37.82591103833515,39.37817357176229,36.9681955471797,40.83630968280205,41.67189161104296,44.511031523263995,46.978107110939355,50.47906272104802,50.43024992848424,48.81820869945685,46.47880431579261,42.93593451615718,41.56339599163915,38.569087493214575,40.582205512785286,41.15892089181244,44.511276951813755,44.47752808336428,48.1101591274926,51.430580459858504,48.913233857840126,46.54129674630936,45.78160402246291,45.03667037507216,43.998952820419284,48.91579511108644,46.00211942265635,47.16055940572817,51.37672187714993,50.27373588626267,51.61362995490888,50.499741067854075,54.39829638669439,54.105474759402824,50.082746356187734,53.655047732272706,55.89563661706536,55.902040242946875,57.819799341083424,52.588545606194515,57.23019476414813,60.37911888841046,56.588937746925595,56.20514835402813,61.003167540765595,60.778798192389495,56.58233519353489,58.71267542285136,57.24364548208503,58.08599930384538,55.36790217551549,52.38851999827865,49.084736295301866,46.90850451105226,43.620606418204275,42.087808168146395,40.67060545684419,42.63207701989864,45.245155716224914,48.241874950194536,48.50733920591515,54.837658080915354,53.465361110733134,56.785797051431786,55.5516074598879,56.1429991958808,54.426013014704736,53.04329295598413,51.14128993984804,51.205643229847404,48.101807804526,47.42465030804185,49.24966799966044,50.8760662240086,50.26546071987699,53.92487952990551,51.38829984965378,54.12677961407145,50.99154133958231,49.40720856313216,44.698142508907736,45.04300675671482,40.69914411263377,43.67286566639179,41.22551461667078,42.83150379781324,44.329204357358115,42.997100867251454,44.58316307953451,41.99451853340088,44.090801801612464,38.89259861492073,41.05203587445254,39.047122978260255,34.94858066899269,36.24937399336842,31.678707430647197,32.37903242194246,30.07435611195647,29.797538384081932,30.892488284106463,29.87589544243566,33.344747160383655,32.44965058938839,37.19339877542823,36.85045889996939,33.545945901189825,31.26252158507448,27.603960050052283,26.446248993938998,25.31824609408534,26.262771421771205,26.28909047622857,29.111347017954095,31.105315968667554,36.15548870651851,33.35715302950265,37.66850969683407,38.44971053073639,40.90835225795163,36.16299226257354,33.949362151515516,29.394059692095016,28.763917573900986,27.261148481974818,31.05548378501581,31.111941749913374,35.81432869931845,36.56341077325065,34.94162301347738,38.467860622199744,38.316654595703625,35.16970106467881,35.391188225846676,35.097851490883784,33.04300270109846,34.401364886454125,34.4806289802747,38.62756458943541,38.12651911677955,39.50788036153157,40.300653977898065,38.33865876712928,38.575660136083826,39.21640966095103,37.97119162090313,36.73276348620853,39.99371295171658,36.90781342861613,41.75272200615086,40.35216502082075,36.45208537063491,38.495624837880094,38.342973929005794,35.76363564489282,33.0114802085264,34.663917800466315,34.019405144237645,38.713943529259815,40.81051012227494,42.65154396820942,43.8767249625851,43.351632007168654,48.175395179624765,47.262017794343926,47.36899717351199,44.88032235442101,41.3643340724978,44.23251910180876,45.68404803246009,43.080507032358895,46.63106634853571,45.99212409763493,49.836512748909854,47.65630125825121,47.66402212618282,46.83348684381572,45.61001913981516,43.345846911273064,40.83447995723874,40.37511767196044,39.11507441547143,34.60335159195727,35.96516649885354,32.79581423350959,33.393959655697344,34.927600793993626,35.24193796383576,31.65959119895585,30.042090275274735,33.087095025952344,30.549881288211946,25.163518033997015,28.547217792279373,32.246848210209194,26.482477394992074,25.241758591137337,28.424333238008384,27.807965314883226,23.102860429187576,24.66121643934179,23.467888055742026,29.111842710404048,26.19873204442273,28.632309117755604,32.10047640270777,36.13657412697656,39.259002777867806,40.97690265022723,42.93780059453268,42.393567423172684,45.509306193629804,44.2191690926157,47.26941876207084,45.00857078860326,39.66322371155901,42.92558968775844,44.656533891399604,39.93070670012111,38.79387973749617,42.06052708511046,39.95549414058303,35.71166747094606,36.750826981009,34.18077006399598,38.51422394675045,41.42840726169868,40.92378892719101,44.0020560856605,46.53018206543425,45.13881487670348,40.85025192303658,41.81594733797851,43.359878970534126,39.04057180951666,37.04073609692149,39.48124193299039,38.1461654062619,34.309193683412005,37.762813977243184,38.63159839460034,34.44908562025847,34.15774571060724,37.60062279967595,35.99235626232515,39.19610692314714,38.99187683242131,41.500943760555465,38.83106694703646,33.97533500705506,37.46005923236502,37.220073705331025,33.69803236325915,32.91940608696765,37.610355876551594,34.498142813508444,29.976034970127618,32.93287239147892,36.142447177516594,32.74537701302599,29.085601374033146,24.721059412596375,26.107744740522715,21.54972653508077,23.511667584080904,19.407054939568532,22.268480755594705,20.259245699008662,16.5283450964475,18.640357172323178,19.84106511535652,22.06515349452545,25.679143589639203,24.867388309345557,29.03405263772023,26.993048594587066,27.002804772774983,31.235897654590822,32.9330125223304,33.04915591091711,28.3819864814144,28.898732462314676,31.010812487204568,28.2017444341158,24.152037785994843,27.009130427638112,29.450804899665318,31.051124484819873,32.479134664773824,33.94047570401819],[16.992076212793947,16.963883851434414,19.615326928021783,16.70858550141407,22.173920662575913,22.854384753030907,25.680986963070744,29.571608805623136,28.88270223362411,30.559114208892776,33.15367649279224,35.725647481072485,35.74037330461956,33.6429699865862,38.7549063749659,40.3452469626944,38.42168489585143,42.52139936178525,43.87229850105274,46.61608932656447,49.36032193702172,52.918973744484624,53.11117259032955,51.72261340513805,49.17958564370978,45.537854410695566,43.91591613409952,40.653048105536264,42.259461642594715,42.3771916626753,45.66551878880411,45.26442286439202,48.732356048327944,52.36235076260593,50.00168622463714,47.97595946990056,46.971322102760006,46.81728696162045,45.97075607274507,50.92422546217014,48.406412185654375,49.4842688358392,53.69945249593057,52.862495713231326,54.46750001801297,53.55389040836152,57.448316961088324,56.85547259860128,52.88206163786107,56.4498027230926,58.43290181425743,58.257012871397095,60.055621796079116,54.783718988632735,59.13305725903123,62.55774062718522,58.92889853262921,58.20957468005485,63.03567605114408,63.172899836613,58.921483059170725,60.871642912690305,59.16004564374283,60.30041332782443,57.72812510268972,54.506204711225976,51.285076806622065,48.789288013015735,45.67695765083009,43.761859905461364,42.57055242751707,44.53840138065716,46.93022799984163,50.212915335798584,50.14654000846106,56.482199058840216,55.20481010737796,58.26009466876336,57.11035666933443,57.87901074023819,55.89866363254968,54.67334020750662,52.36266544477974,52.636322800349205,49.77953897792473,48.93491240685039,50.9830823468325,52.18206202974592,51.87820933971832,55.16040358004258,52.72481346879934,55.421826475515566,52.09393373325513,50.22198705610791,45.48548713660635,45.62724252358362,41.28976960499871,44.05751273878112,41.39443212330509,42.462732002963406,44.566623795065695,42.92021399584473,45.05794715336919,42.23669695699069,44.658827808523114,39.39008086253404,41.31281977158784,39.49164061924875,35.17555827334286,36.338416944798446,31.77008483542423,33.04624851291204,30.646446198239754,31.020689980610168,32.267003921090506,31.769843720306284,35.372015950043455,34.97030653595507,39.722214302668384,38.8807400485929,35.640560523289345,33.04764017839932,29.755516410291865,28.198205502266564,26.5059856194446,27.706921272422424,26.796179894338778,30.045739470699157,31.881020183668383,37.00546295161683,34.36263759182592,38.48646224020515,39.768000727736656,41.980205519027784,37.66084155273624,35.44179590278053,31.051319076313774,30.748830081033308,29.57664534026966,33.34451401411098,34.015931330436345,38.817758528898935,39.22678478812361,37.325096990830964,40.73441389938315,40.161932559772,36.96909457595434,36.67777959350608,36.02933408801158,33.55321853038308,34.4130039970843,34.11162183237737,37.93050787837436,36.9152986796712,38.749118394278426,39.91672890655379,38.395888816472684,38.63648829179648,39.78160801190307,38.61704449607188,38.047040660815206,41.51242468382099,38.933289220883225,43.69360915490734,42.5934872633705,39.03678709557961,40.86283348273719,41.052782121760366,38.224156836935684,35.490066681550964,36.809146619658385,36.117578032171,40.58073095285684,42.41277316009004,44.03787553288037,44.86089004950187,44.333641273885256,48.98654366741592,48.513018322984074,48.45941513576436,46.438918838050206,42.49192550771468,45.59551840009566,47.28461241155099,44.8665782559655,48.6485119202483,48.16624691221113,52.17788288548604,50.27762796224458,50.109182843719914,49.28374691506294,47.757707822241606,45.42144636180113,42.70126626655867,41.98080653219402,40.53441063728658,35.9351553574742,36.816774456634846,33.28010570243272,33.58378999150893,34.64656020687473,34.66984968451127,31.309766195540718,29.544603391233863,32.0821248351711,29.4047416846985,24.306417662419285,27.22615392383038,30.451433122420227,24.683051488155282,23.275488284276136,26.051620516218186,25.316362189449887,20.582576388524178,21.878681501672837,21.201901089996166,26.469252473765525,24.463256692396765,26.964661757689914,30.063560126355824,34.4282663902232,37.17980544757113,39.30177102165071,41.3149934920276,41.14524743600011,44.41549941527821,43.346997715393144,46.63672473427485,44.265714159552076,39.08901465204889,42.61451173754237,44.50282186248465,39.79690364803141,38.868768651492815,42.44481632549093,40.39134852695085,36.068737292601135,37.57965145819046,34.40426287548837,38.775980279393224,41.392201432108294,40.36151492261092,43.40096281553604,45.50221064420399,44.33707270190026,40.192671881222424,40.57225346669546,42.03942951205323,37.91632411179616,35.65880906461392,37.65845760171313,36.22776761202302,32.42074567934678,35.627519469038866,36.20352332933704,31.914871121485366,31.644020038020372,35.02983944451243,33.726965212853955,37.19868733752184,37.41656601815201,40.00970856885054,36.990655019441284,32.420171156639846,36.318275052645234,35.92106987045704,32.31812597966719,32.154697637921785,36.85497701585372,33.53255143057984,29.28999239184956,32.75933588660291,35.7846260956853,32.2608218651672,28.776842560762528,24.318594260862316,25.828866311335375,21.182084861759783,22.25387173820003,18.298896148580276,21.095645371906603,18.841215247155457,15.591627013010623,18.343828941523547,20.00253684659811,22.53269534489675,25.619551598221662,25.046303181536206,29.347156852369245,27.47409543350939,26.506397506762244,30.60224487845589,31.81645740341519,31.989182667187443,27.48224063395316,27.312785947970536,29.234314250655157,27.05014055985248,22.595163755982398,24.809247200437586,26.91171160633796,28.43576886950265,29.88485328113085,31.225944379313404],[18.93586213513717,19.32322907587687,22.113824987253345,18.425999133962023,23.91594195764364,23.694874856892582,26.02329341378898,29.813010873066325,28.295318834607674,29.61698810332496,31.820726220546124,34.69555118668406,34.871680048534195,32.18648946067729,37.196399121382875,39.15066928277889,37.2983458320431,41.170021323017785,42.36912246137153,45.50390929907652,48.068886780047436,51.89949958553368,51.894482453248564,50.62439531099585,48.31058800122476,44.450559088369054,43.17710019889906,39.82610613682729,41.37471485651144,41.65305294774658,44.2534328457609,44.41156151196821,47.64585449948165,51.16745784506807,49.10699948175151,47.031177784380645,46.49475817316784,46.32186970781546,45.73628240325556,51.06854865278483,48.29077103498738,48.870428479954654,53.215772718920306,52.524613987022434,53.9535158188548,53.21281254235774,57.12098294719221,56.62870310851155,52.942903186950936,56.77153469122449,58.65894928924212,58.65463225952031,60.28472784055039,54.906992032112164,59.208273475747546,62.454195358680096,58.60954171405224,57.76632875559655,62.56528489857888,62.64359889568831,58.11787804438057,59.76266321633589,57.94164097465698,58.81311336528046,56.48814075909391,53.383735379448794,49.69410411421238,47.22932454863744,43.75924213515523,41.74258738118808,40.33704807824903,41.932660980894106,44.6045389005119,48.04937579623945,48.30542365205502,54.64944341842384,53.80137690465612,56.89496143210821,56.08266071449922,57.132422569598184,55.48526480621545,54.613732950790805,52.50236786128495,53.122968163701444,50.17932409676861,48.94907709722259,50.573321408097755,51.749639125990804,50.96647592357104,54.083925575835856,51.30475823197898,53.64894870699714,50.3051059733682,48.58870318318308,43.92295861221675,43.75284671951925,39.47720711256857,42.82183276199402,40.44877590173068,41.90211949250935,44.13105446546089,43.152284574790116,45.21300788788984,42.991498465735674,45.79438145040329,40.730787231486595,43.12123623557748,41.631951726381565,37.388475577870096,38.093416908214785,33.36203684676472,34.08984142246576,31.133997581391824,31.309183683961344,31.762671076442796,31.239463705312602,34.50090282824414,34.07652131273097,38.273107288502615,37.4340899552743,34.037010910929446,31.614474191626613,28.617934339412248,27.482497145249265,26.172729496517654,28.17901181892246,27.965726893676074,31.373607044725254,33.66331525445647,38.77363686830876,36.66842017708769,40.97780187979856,42.00733569763727,43.91539202711115,39.471744354953216,36.79760472970766,32.84829627807077,31.815176834880976,30.086445035804065,33.66417113574089,33.86977858161999,38.55795037632218,38.69880701287786,37.07427731138944,40.556851764602186,39.80876241394287,36.73823312510607,36.531849084305264,36.292608062098694,33.64335909733403,34.995103388128435,34.19590370783945,38.34375603552623,36.94731477056029,38.37013687525384,39.80746386474016,38.15921012778479,38.95313886014829,39.72763171198915,39.26869950195304,38.63266266331815,41.61123211421919,39.20266474328269,44.01795556471517,43.33216200947911,39.81968395054388,42.16285190944376,42.44013351536921,39.96885550538444,36.89329839985564,38.29089013787511,37.140767355186945,41.53511357164928,43.243926967832394,44.62745235573262,45.51298540153639,44.48353931098992,49.426634226677066,49.025908636487536,49.31130752318495,47.39174486293433,43.70533125918915,47.16880323850724,48.966463579341564,46.330376434679444,49.63828369250683,48.71216257485442,52.91131255342324,51.00994302934844,51.262843963513106,50.71306978720972,49.33470639849835,47.355880477841694,44.82984032211835,44.39998425680927,43.32856438494722,38.65578808246277,39.8090511809513,36.502626205525246,36.45006989209585,37.99941998067929,37.66094916343732,34.09550392259857,32.94281013746613,35.54403835746863,32.43748539787825,27.655798577593785,30.937788540215006,33.799423471977896,27.782613938187602,26.852673344357846,29.646193754511188,28.287956176044034,23.733271974589968,25.640258653162626,25.26131699383338,30.530808071535006,29.06759933122721,31.282787797595056,34.36156105550437,38.90174152064301,41.72069324200301,43.85372416224489,45.59645569260168,45.306278257887875,48.44607794321596,47.07217962202591,50.535875090471855,48.4217347239602,43.0157124481495,46.36109372307057,48.535713634566385,43.900950670706344,42.67605441788884,46.144447899685716,44.4376963541308,40.099062752488095,41.063842204022855,38.005581471693866,41.93868107570838,44.743595558678486,43.778802150215846,46.54260317598767,48.68312598949522,47.118021841593865,43.14428044989954,43.73265702399379,44.794523282856545,40.50135663255783,38.66914492868702,40.518130537904334,38.793911639086005,35.256727740925164,38.80838725917414,39.08960333005118,34.58149729417763,34.9009431400868,38.46332567257239,37.4000617094336,40.88734469850309,40.96700629771206,43.851919205858934,41.01978491026565,36.27528261889717,40.22419684366886,40.1690131117748,36.57481045767453,36.208197536498645,41.17656464125367,38.11441439924971,33.68035977540626,36.978799575527006,40.310707585326035,36.9552285688287,33.35199571887706,28.79159191803686,30.57593959503518,25.929041056779447,27.066230167547836,22.813624547107356,25.214849938733305,22.384655081307166,19.552739714412432,22.210385557539762,24.13547571357074,26.290305611795745,29.362760500025384,28.008773170151237,32.17368783785645,29.647715127775385,28.947499217686335,32.70702339485167,34.1126681723931,33.54872603173499,29.250776931762896,29.527945797831993,30.88863814463909,28.153684229810732,24.28961061415674,26.903434342907595,28.607502338560785,29.98345806445084,31.384522902969493,32.71661709991396],[13.323552432681021,13.470293131122279,16.415929309231327,13.380356397894191,19.160964203693133,19.014360751000957,21.937691909437763,25.631166801011197,24.862503466043005,26.827037013842528,29.32787010087865,31.715587542126816,32.06776281969992,30.108878708929275,35.138265421409535,36.734571171605616,35.130428593171786,39.36010145415625,41.10815931865612,43.76700140384233,46.726059411612965,50.34087395897626,50.747276575656834,49.608646426854854,46.88991224008156,43.14512914251644,41.34015628399949,37.85162455140146,39.12101736269739,38.941940285273894,42.13673746166738,41.55102011448486,44.909396851803336,48.68468536123772,46.438515090991864,44.63368184561915,43.535546947351456,43.791002967017576,43.155917905576544,48.22957796053867,45.99766980566736,46.87405006630545,51.096903811494784,50.55039578313868,52.379416432631714,51.74115800717403,55.62142081298783,54.7239334137574,50.915641705632325,54.56396978969139,56.230151270482814,55.943490653402314,57.56052215981917,52.231174344456974,56.3041740793329,59.89699968149394,56.36332823025479,55.3292533153892,60.15912903037882,60.597321799314265,56.257421272828886,58.010207622091315,56.10256695729053,57.46939247713297,55.04018954202894,51.631210060602044,48.479291686550695,45.73914324336728,42.80503165447649,40.6247462606357,39.64320904504072,41.68901606561148,43.83186869095251,47.278923994078674,46.92941459259825,53.24335738481671,52.02287451362831,54.88657166524792,53.81385435379574,54.73801567178596,52.634025329648345,51.60664794200063,49.07400011663528,49.6059170926569,46.90880750978073,45.818416078444876,47.921062962145534,48.8125270370245,48.64712002149996,51.65654903716951,49.279684126949626,51.954603264379244,48.52698035038421,46.495882521035824,41.75885388272688,41.82938511147345,37.50807730805149,40.1365922567665,37.39641212068826,38.298114802549,40.636767462982,38.994627485110726,41.358235273688855,38.61520728069017,41.3603206224397,36.16462418452343,38.206349758296334,36.708031646342874,32.32987678656222,33.12256175421357,28.478969062454432,29.80605119009564,27.15016682657949,27.875675710821763,29.033030840551326,28.93134527435362,32.56046570565893,32.60407792532361,37.2880452395136,36.01264224741992,32.86076199468752,30.042623510020626,27.097808441965107,25.264513013228868,23.233959590956168,24.818421084016048,23.5568554110325,27.13720789994796,29.11074206009377,34.24875973490538,32.110040494017625,36.22107267960668,37.683331460383606,39.4696271724711,35.421705160732714,32.92787924898238,28.989951096730536,28.542378062570215,27.436092262378846,31.06238686562958,32.20793832406718,37.04803305887626,37.020095600687426,34.92198033427948,38.217957244838665,37.24869103178152,34.06749579206993,33.419463862118015,32.64951389351289,29.89391251411194,30.642713755199768,30.057511014681715,33.84688381889497,32.648232099785794,34.50405433503443,35.81104923651686,34.435098533205384,34.798524591980296,36.09283819493756,35.18315111327771,35.02202622451621,38.455696578100905,36.35072995682037,41.03186333834716,40.38266169493111,37.21244000908497,39.09197394161806,39.724372400739156,36.884202617409315,33.94046453429687,34.950875462008874,33.948363897548454,38.14033904175354,39.68564404331643,41.0403869885419,41.61131281799345,40.91938149840732,45.54681618344788,45.377625634014116,45.34967731389226,43.71774282381985,39.59308086673539,43.05831891548065,45.002557056741104,42.61607431877375,46.32203120478286,45.77779274128919,50.01838898405196,48.41644136187441,48.29256724513458,47.651189577669015,45.9195127408624,43.775675505837135,41.01186511301373,40.293096342987944,39.03768594080777,34.30955635752353,35.04731778171932,31.495672635991923,31.245421101309717,32.51021946544167,32.0411460354579,28.615731835533595,27.376397667949043,29.75684983419858,26.62135532959169,21.96702781328804,25.114635269779363,27.83692624844191,21.837570478659522,20.920782112082403,23.72217304186947,22.366155207330433,17.806090794807545,19.88639393166291,19.52266564017147,24.851549137003445,23.75881985335258,25.658050147805966,28.68803985739485,33.35349640586529,36.28604575918677,38.369777792181615,39.88524154950443,39.5968350232641,42.71503954723299,41.333249719206,44.93165396897375,42.877935732518985,37.470522663861075,40.88333459024442,43.24812993354372,38.68644723082492,37.469602747833584,41.10733722708584,39.62675034155447,35.23935098857584,36.35197735781013,32.86696875907633,36.7427457267004,39.36347834585093,38.13530570261813,40.87907914447835,42.86606332205645,41.4286373731305,37.48271509483628,37.86262877413336,38.97071703309833,34.7631410523424,32.78628973295412,34.60056745206485,32.940795933374254,29.335360739741574,32.842212579658344,33.19218312215149,28.74050816595472,28.973701613887062,32.55885103652506,31.46866207049446,34.93956246770487,35.03248480754884,37.97548161926605,35.17019939513878,30.409763147336434,34.4578702669199,34.51085775397097,30.921389774297655,30.663716081395872,35.761967944728354,32.87007718058509,28.42242249856837,31.86531788292602,35.33167861848039,32.1689327420948,28.565788737522695,23.888651860808572,26.252793223584337,21.682503218942315,22.284729143967652,17.723743343587422,19.67405829675732,16.59658925896713,14.211817210475035,17.081883615475142,19.471954116894846,21.56719542957199,24.164220483789443,22.864827943400613,27.079552734673165,24.801280897736728,23.496341591725255,27.288083408550225,28.467659095896284,28.23697983336486,23.88216829955944,23.813471445394924,25.404653147721472,23.07095501316266,18.789344389278874,21.191449534837002,23.149497542711227,24.662583245764033,26.166434263541863,27.598792505261297],[11.370515171122332,11.445907829811409,14.16802691559017,10.516695147100812,16.308412470813153,15.1881043843651,17.915000895281132,21.47865547773388,20.43766608542578,22.482900887939785,24.888682462455275,27.232361533512247,27.76630531231045,25.833668774839502,30.794609488198876,32.422539628345945,31.045662492593166,35.33577182886848,37.376685968774574,39.99683637429543,43.09941818640307,46.78010668837315,47.34005787052167,46.43431157571897,43.60436103377116,39.75941761550773,37.85612335458272,34.18262125776232,35.17213642986289,34.80636397477097,37.84797367101827,37.223558642136666,40.494619972266406,44.3274215439438,42.187675191605685,40.51814364434641,39.43985808724055,39.98022404264452,39.56029185372293,44.79435965572266,42.74583557711331,43.35790232341876,47.596447260069404,47.31517899705541,49.29367969489526,48.92469894826807,52.77914219254086,51.644016531233596,48.04852696234469,51.804499552050636,53.17542818710859,52.846405828342206,54.27376302386398,48.889919169405594,52.73085776068684,56.40401814790397,52.90790467253001,51.611334814736104,56.43181208344838,57.087350914097215,52.64352035895275,54.198731159013334,52.13554700130827,53.64018286157536,51.35267878782468,47.81989807513248,44.68180192478706,41.762637477242876,38.953922156773444,36.57461161492123,35.75367941007999,37.861608230818916,39.800760623962454,43.35905505151319,42.81160174881291,49.10478165472701,47.95305152526553,50.68785152058831,49.706535652560056,50.77888982926408,48.65391906867799,47.83999245981696,45.21046609036235,46.01062692917174,43.40758238443133,42.044249385192636,44.09010556361542,44.76460225648314,44.60759265683904,47.411410483869794,45.034821303225606,47.670318855726876,44.18707954247728,42.07910560770295,37.3476902849326,37.37965135018927,33.06867524829583,35.66384464835845,32.93022064203942,33.88131994754975,36.290615685208664,34.845875076247395,37.26965590016417,34.77649987955969,37.830089519082,32.78748424033301,35.1106753141832,33.977335928622225,29.641996335959895,29.973719533938823,25.23447932379155,26.325776082798868,23.30922497932862,24.219131295398295,25.111837400351874,25.33454025177247,28.905768207126666,29.337608111045608,33.86199058754682,32.22404459120447,29.152145603612755,26.17510797769768,23.591489129015837,21.5858396670263,19.353575781208903,21.453468559119774,20.180155804535456,24.02649668001527,26.27770527249557,31.370645454553667,29.86119563037807,34.0112860231441,35.46992608773691,36.79849860818029,32.93144273627348,30.07238505723136,26.713369161719733,25.89532464691491,24.707366232558716,28.113679568095346,29.579860923323203,34.38211127525806,33.91411140007889,31.708302328513835,34.89941696121602,33.57347226571504,30.441918410741405,29.537938428605454,28.792717331976302,25.817456834416493,26.683451917441563,25.826310964144426,29.765964161391768,28.51521782500985,30.156521577446977,31.51584179502534,30.126007182625777,30.7072989182005,31.95198086561901,31.410800385514,31.503698233701925,34.76572027528696,33.08759004247249,37.69207285428661,37.52458826109441,34.72005053492434,36.77447883548567,37.810579540833814,35.098905165380025,31.899979063218346,32.65559806081184,31.256608377269984,35.16975414849238,36.4436891792897,37.519420600769735,37.93575485773178,36.989962798019675,41.681053044359096,41.7260444589131,41.82208871592514,40.500651658262264,36.35642934444627,40.19728912542053,42.36144232080464,39.93507952186472,43.408257759084876,42.69476621234247,47.15084370592075,45.81014039700798,45.83691408678826,45.434604574847725,43.59260403346493,41.7404824118853,39.03306359476668,38.4403508288958,37.514856354904325,32.7043989956697,33.46691031715742,30.093831483811293,29.268171888982206,30.98645356685332,30.017655218677625,26.439556178645386,25.974020973765917,28.33997059420631,24.715183354631673,20.60962931203457,24.17892184517651,26.41763851028791,20.239692965097113,20.065521832728482,22.98780235319493,20.923983149588548,16.7689100029521,19.844877720078216,19.654605756715778,25.026840080215344,24.621779726479016,25.796847850566657,28.826841170980323,33.630911495981515,36.8527659442045,38.73332406565114,39.662271670898384,39.09846466469097,41.955376342302266,40.12630092932472,43.97047213529126,42.34226704741569,36.64726174152807,39.79103995195472,42.63285588780094,38.26650009025389,36.64286863574291,40.19612165458554,39.3681267469856,34.980916212003116,35.429784144534246,31.862699886936216,35.07437339772562,37.808488933471175,36.567080517183825,38.93898878944814,40.94940584818088,39.076732839144725,35.348158131270964,35.97790603778222,36.64607700696558,32.2667788539833,30.79227162075353,32.5349984847436,30.625425502339343,27.31768999440578,31.27588546524958,31.449698060407567,26.885990781043994,27.76014596191942,31.55912001006966,30.624299003553304,33.944198360625336,33.7157686081194,37.018715322239075,34.63064161944547,29.598321427753067,33.606605966221714,34.24428977910846,30.750300599351913,30.147151863897456,35.63165073234817,33.32953009555011,28.62178183481794,31.783671033657843,35.760527974211485,33.067286971011335,29.330089459020414,24.55202830165233,27.694640437412808,23.33226748870947,23.76651158362813,18.696764269283456,19.660154716687707,15.80972684439798,14.421868697968055,17.00379872581275,19.948291172092425,21.359177009892264,23.52145326889519,21.219346729816333,25.18833626527827,22.297336832505387,21.007768521412196,24.382471530280856,25.737630574533767,24.87469413089492,20.700842180974092,21.13581834974414,22.2923604778231,19.40870653700498,15.695709849790246,18.696531683912994,20.546678489698575,22.014370742703946,23.551446143993036,25.120249164261963],[10.051075865502606,8.662168013156144,10.443192829588238,7.627194962018522,13.266186889814621,14.043599269135065,17.283029451901225,21.076093819321002,21.308166062889438,23.508652372924967,26.461837882586835,28.471390174696566,28.47275256456441,27.327157022725242,32.340428039631405,33.42340893006964,31.794120060360676,36.24271375038977,38.28918883768123,40.39496363212463,43.61864064910986,46.90268509126315,47.64752780107088,46.544695347426185,43.49504791626999,39.99130136362694,37.71848114464373,34.279031967127814,35.45733605851641,35.03232249019224,38.989026922763834,37.7539532433023,41.367446619735986,45.18678744721923,42.61011789688179,40.90323411463846,39.288888220378304,39.66173981628606,38.84299709403566,43.54213336074156,41.75014892912826,43.014853738300104,47.05800824755283,46.53100415026849,48.66207505921369,48.04383154912927,51.863291707285285,50.66385381147953,46.723663698509775,50.13898716926344,51.66766975924329,51.165718573914916,52.82642310060518,47.60380043158419,51.56492637922857,55.38034218609877,52.12995620218184,51.08501049194378,55.911047011445575,56.54378743966173,52.48041180465369,54.46512661688332,52.62727614605983,54.374365926172324,51.74664065026187,48.15766738208862,45.62415769117187,42.79558408908789,40.42816750428194,38.34506885161677,37.732782772063175,40.27799578156199,41.91315842391654,45.121270462959096,44.27907073930027,50.49988183473866,48.770905044184744,51.52323129375785,50.08263157039869,50.72619439990843,48.26207999966709,46.94165035542825,44.18820095401838,44.46824204523672,41.915025985984165,41.11292447672191,43.64024932957895,44.47576805823403,44.85241749731823,47.97732190642146,46.03739591590117,49.122094230055964,45.766432600904224,43.58718823785687,38.83638078984656,39.36283221524834,35.04738565994194,36.89832207051208,33.89880160943055,34.528282768763745,36.472291193589925,34.23273217035286,36.52680107946003,33.29649567548892,35.69889584601043,30.397073279804754,32.17170131621627,30.534811776350622,26.12806036727576,27.13783470738853,22.600754085193845,24.299597906676418,22.16916597775668,23.145093807745912,25.13446555028084,25.228248887662197,29.16086279612256,29.483323122995106,34.658808667763964,33.19478336271101,30.36932215308206,27.33864633440015,24.30482854986201,21.886789381878582,19.345603961294483,20.087489881164156,18.024861175769853,21.503949742045393,23.160338854077725,28.285908789176872,26.03392997825137,30.031055422094752,31.709620124368325,33.469645954702706,29.657831771354086,27.38662556793972,23.424800260857847,23.531730463816565,23.069020332315997,26.690189168045993,28.661356823518574,33.52924012741626,33.47280488127586,30.988407533066407,34.07259369436086,33.10563508581586,29.856748889246607,29.00175412463402,27.79828351133318,25.268157189538,25.589786417513686,25.66489536451567,29.215733734526026,28.799760282977466,30.786428214562328,31.560175292957126,30.18037816747493,29.948980112626934,31.513602212421596,29.94082457877555,29.911615981586685,33.76470247494538,31.735059096857967,36.25499810566549,35.48919541344138,32.59227215897964,34.021814410208236,34.929375916658486,31.8196167735365,29.02996234856234,29.709752424215395,28.903492838204823,32.93358025433834,34.423617399482545,35.87552019480416,36.327502661520626,36.07462358597763,40.4046381300035,40.210821261326785,39.903714957836,38.32272351731829,33.95062160553366,37.268730791373024,39.250391888427615,37.0565785871682,41.07521340836131,40.89535914211497,45.07183661423079,43.6866154504099,43.2260285179907,42.50017003659276,40.519919200481816,38.2585701811215,35.34526674324385,34.44801416362123,33.126884652706266,28.373786334275085,28.90237532465097,25.29884833943961,24.926510288513548,26.248047991342407,25.786619769079692,22.31378568987915,21.147629189863096,23.69631284962706,20.568292033740303,15.802836271545724,19.310322764483608,22.27622787963201,16.25514631134031,15.608140182676406,18.89046694565726,17.64781940453367,13.194123105815796,15.900876959227961,14.986199060297777,20.744567550903415,19.407263901088395,20.649456768084228,23.9570695502938,28.507545483527952,31.949746942926975,33.59228356189904,34.67982387215106,34.03308278905123,36.96960993710541,35.32845998006582,38.95557383447065,37.12175211054081,31.509116921294673,34.77781356146257,37.35095899150656,32.8820588496551,31.442068076159973,35.07137795331754,33.95396270492002,29.553621170721218,30.4016349935341,26.761238475831387,30.45692482461541,33.09749757375084,31.938258915632222,34.66725946044764,36.82668877729455,35.32286435364713,31.282931608730532,31.923561634633252,33.13738623700629,28.8349276236449,26.915976256443184,29.113489124201195,27.626483273269386,23.901417962432397,27.623304440286184,28.356372375454907,24.123132967393364,24.23131315264493,27.903717487836083,26.48329750750516,29.6591317150688,29.343154159534265,32.339057749391195,29.925997947545948,24.82939835596671,28.65776048154987,29.07803305461392,25.567595441778607,24.867994278509865,30.225950258336834,27.83298634051498,23.08289693602,26.267490865530903,30.159066411052148,27.45059170031663,23.69653815298576,18.924776922833942,22.16837939685564,17.925042554945726,18.41559825864928,13.221102825307003,14.2633132744325,10.845551072708902,8.925090818809526,11.470858065080412,14.394014974112975,15.970962178820637,18.189956051981618,16.5796599547188,20.787021609109797,18.65852288225347,17.26957439270968,21.280746416163378,22.612877049154456,22.81101476904593,18.181859105987545,18.311558035505357,20.475851811451328,18.127891104531773,13.673810758323885,16.47185384438578,19.208321928359428,20.948876087905415,22.558607220792815,24.218210100093632],[6.734689984752782,5.374392199978735,7.62231846329978,5.214507395816677,11.062306029481434,9.821850006799982,13.472992792457958,16.752049523883628,17.056185883895335,19.90689179586288,22.671371427028365,24.224758030414158,24.856332246685014,24.08789134827937,28.8471115605821,29.88326515957961,28.843645605514148,33.44850920806569,36.106650775450134,38.02658590141491,41.54256349674428,44.86086604683059,45.91567721989568,45.1858294887412,41.923993935952296,38.331853827196234,35.80557189232145,32.078018551963204,32.67870261971995,31.731695490153076,35.54116029236109,33.94454963707036,37.35991872145415,41.41714939255316,39.02994310668207,37.715250599303666,35.91782659070233,36.978229773204895,36.499661521929944,41.30396964019598,39.990206013403345,40.95941614960177,44.95956830896357,44.86803856329114,47.30573642499919,47.08048376478458,50.8289746396513,49.21323074426734,45.54608629697178,49.02876195003181,50.08899043939348,49.41308987401275,50.79934206117927,45.542002146251185,49.04946239810135,53.10171376417862,50.03080670327791,48.520686129548054,53.319076514977624,54.398756443602586,50.24657512581281,51.92815995413516,49.8085582365669,51.89120540274795,49.49561747311238,45.65504165053405,43.270267130757595,40.09695302838715,38.05509522942155,35.5933638730188,35.333168817695366,37.95137077851446,39.17397824814317,42.58932480939,41.30855975495279,47.42791630611582,45.79411368879994,48.221203809081814,46.897858636816,47.77094516219981,45.104382736189386,44.09052255564837,40.97208697014865,41.645978190436225,39.39151907752123,38.222828750937154,40.84915466247129,41.17130282208538,41.80752554762374,44.47345200068767,42.66292127037778,45.70196557478004,42.21080101518336,39.77472395661058,35.06042456247776,35.481118708396906,31.240648114751263,32.76163113670713,29.605844051062853,29.848837429668198,32.221142599232444,29.89205631302072,32.625364992322496,29.46341022773421,32.40732543334235,27.25007277775249,29.14810341043256,28.080124969459874,23.619638955545472,23.963266640209223,19.366574776789108,21.271556124076948,18.765653620290486,20.494689632988983,22.3811721122851,23.204329206807763,27.07908299474385,28.121539168373584,33.06382324274856,30.95097810565066,28.359618238921477,25.041888690479755,22.705952600598962,19.8755320799976,16.736479717751887,18.051727813553157,15.143306733214853,19.1829797911799,20.970524196516664,25.992203881379474,24.64426687315217,28.469972066199407,30.457199766638368,31.494066666535083,28.253069390993076,25.626205185067445,22.560778493715517,22.505172558370095,22.246963696737495,25.483675940877408,28.15695657341378,32.917997937367325,32.2178473205026,29.47801701316731,32.29327287955698,30.704600913865846,27.53749957974989,26.0472843935499,24.572630091146227,21.551836194969788,21.52310046227394,21.10453468806683,24.51166197980899,23.785527168681636,25.917485286684624,26.923974269144512,25.866887071307954,25.77993649523647,27.695433049727242,26.51293545275679,27.270167584353647,31.058957616252208,29.866444698946747,34.15704817246383,34.09205989578772,31.872856165285604,33.305823245076134,34.8444856213025,31.78983898758914,28.810597267803004,28.97355119559406,27.730900420807014,31.20317085727999,32.19490866736474,33.187055482551116,33.183264535291805,32.69971771868599,36.919731933170574,37.24700111225421,36.94831467469468,36.03387326932122,31.384129859477284,35.23477813115844,37.59495929518856,35.51084539724941,39.388312277005035,39.14509637236395,43.60305059281524,42.68323747869172,42.268314578559234,41.80455447663189,39.54565198827399,37.58672202568999,34.65284670766991,33.747598140378585,32.714613863818236,27.91647770040291,28.145769557769206,24.606011462720186,23.303353821790186,24.8438164888266,23.530338153487342,20.076367446258224,19.875135650348152,21.96902961258383,18.115432032134745,14.522155958775548,18.139943844549467,20.009491570874655,13.832315159918862,14.22371330448182,17.279166617121074,14.956515968155148,11.245351988777044,15.160544405086698,14.911101554423235,20.18889414485041,20.430918557302817,20.68706426945903,23.633039615496298,28.450816567430167,31.956740739964143,33.556009299935475,33.92753398930538,33.17585367323512,35.84527982193261,33.803965582264105,37.84572915745865,36.486543778626775,30.70634338240795,33.758658549598124,36.97384999176463,32.832027780805895,31.050973959206384,34.70481902248535,34.42011881843756,30.0749902842806,30.38961378597972,26.3535061561891,29.16664131146926,31.70664574459252,30.197409580760443,32.4085794108408,34.30762506400746,32.42225669084199,28.76724930808221,29.32578769430728,29.937094563365445,25.556790779198128,24.11454311042271,25.92188669327761,24.05754507841396,20.735940237196825,24.887073156675722,25.213275035006372,20.78587674387984,21.75865080622922,25.64775108060927,24.63759126584491,27.74496496889925,27.281954398064045,30.7668165627534,28.70339677088472,23.519636105132406,27.49861233838384,28.567628506727605,25.212977126604837,24.483213490498052,30.205017146907586,28.4820818412343,23.74046995056019,26.77711091899316,31.069744001788326,28.930293158403146,25.265577979262417,20.569236788479884,24.62442535941287,20.815363530873903,20.580378909227004,15.298218409989659,14.831721831981074,10.3676743169913,10.730760935963929,12.92125266398485,16.52805034177321,17.2843223123955,18.40490577912574,15.7006925633777,19.485347281718884,16.776867742427587,14.601030972485612,17.874335471276098,19.051495082689136,18.529666640542683,14.224971668256067,14.477594220817686,15.998710281290032,13.426724976475338,9.196438038798343,12.430119549564775,14.937306216847578,16.68223713124276,18.361969409430216,20.19547129553712],[5.942957532157923,4.760922935909523,6.543859800460966,5.919266277570524,10.315436336246261,7.149833136621082,11.186445606981849,13.686653436881342,14.378641678741351,17.8914123134396,20.470573472124308,21.428987541096586,22.616012526928102,22.398749121677913,26.807373582032227,27.6795053880044,27.18763438695926,31.887428418222996,35.06187699463358,36.7012711886542,40.456933080125545,43.70367471157998,45.05103476354832,44.61460430858595,41.1673857394151,37.600573714977145,34.82384998826339,30.941440727117484,31.03248802491714,29.589403743127065,33.37553796944094,31.32956702023889,34.58255624402557,38.836426158783915,36.57039222896008,35.635434744805146,33.58060996816824,35.2493725169333,35.01486031390952,39.75802743906334,38.937508870900764,39.7479887003231,43.63459547146833,43.882846571069976,46.59180297783894,46.66116258096412,50.31597591039683,48.34220355980506,44.87963589260455,48.33179599285518,49.00345185110474,48.15720707753643,49.329423337205746,44.111583621180166,47.2035703346886,51.47097155606492,48.62156997717764,46.753548826587625,51.49847005608792,52.96370334806749,48.82693999952578,50.30395062846809,47.985585771373614,50.397011782740385,48.16307050052982,44.119077749862115,41.99206560651818,38.55860404201673,36.908233649872415,34.186367711620576,34.2827297364295,37.00175037766712,37.79039485532325,41.29571204252784,39.584586771059236,45.55332833829565,43.91502629328214,46.02960653797004,44.74178874448661,45.741563831831726,42.84499448652911,42.027120320778494,38.569219070755366,39.508435498004026,37.55976347769171,36.17110401954758,38.954377713293,38.823981721222715,39.796335332709376,42.07012220482413,40.47294327517669,43.52617468423599,39.95615891723154,37.282687898182935,32.64469605956735,33.04486498978503,28.92859992443023,29.963004767635315,26.62803925586346,26.38769390901874,29.10391848356551,26.530430967342244,29.675431230388188,26.458361813246988,29.78225616891707,24.78703400370095,26.650331733653392,26.05738142810647,21.62563533888662,21.427110161590864,16.943774583405165,19.16210254286812,16.546125161609286,19.016186673753193,20.950966617089374,22.416449203526472,26.186993676600608,27.822809814256956,32.566411133959875,29.949099412755974,27.665762174087547,24.168830205839924,22.463329177158567,19.31126438348252,15.71334424361206,17.240051615358404,13.46139575363345,17.779570020218717,19.485720784385222,24.25817701760692,23.64488389396395,27.180216115181086,29.460116523360053,29.90125794770967,27.26810964076466,24.502746753780187,22.228395151313748,22.215806772145662,22.28232828137929,25.10689284623265,28.396981345232554,32.9797316249415,31.82026956434085,28.865064467147242,31.36599835666841,29.306193366288984,26.259423716643774,24.20334401955116,22.394765271580177,19.026267748290667,18.473774997154962,17.698660482007664,20.797390795402883,19.898088491643254,22.26835628553292,23.405974885101802,22.72475734217697,22.619226014173016,24.956761901921087,23.980191079692215,25.490067363671635,29.2642692175989,28.805856682469045,32.79616579938804,33.25363087987408,31.640094606085896,32.935885551894394,34.954724974592295,31.92518731897233,28.926546310794205,28.633736943294068,27.151484617837774,30.073830876028488,30.630576662152627,31.24819584662355,30.807999626504987,30.245385910556593,34.234829396301684,35.01963814468869,34.65067551322961,34.3257170563778,29.43036615119304,33.61883587033747,36.25743694443988,34.34646958189251,38.154679331565134,37.96016458839921,42.568855989137695,42.054046419157174,41.59188583015852,41.30059341566386,38.79974743010893,37.04704171039125,34.095973661568515,33.13493406829899,32.28518666942613,27.558101002704227,27.466204600688407,24.021362123658424,21.997503182449307,23.5993636421566,21.60599519056596,18.314805965736756,18.904327753928303,20.506707859200542,16.18201337347828,13.863504889687283,17.31833844588957,18.171001681987484,12.215282796939004,13.536903696972395,16.222166162638864,13.109406963835665,10.50420408692842,15.08427603540871,15.300263224113372,19.911831185807323,21.293072477234823,20.75230342886989,23.322881475003378,28.192664870822142,31.714821082449422,33.210088145673325,32.99407166971415,32.157709453822626,34.57042345677165,32.2418010562838,36.56396513424786,35.596725301403836,29.782202075369273,32.62238106761352,36.30199361204141,32.481445396081014,30.482281982121577,34.11606875340905,34.47864527025064,30.252348204598665,30.206807076945015,25.90043454629901,27.963130144076036,30.33855790152896,28.536419908100594,30.30009976635812,31.944142956199315,29.796590576326118,26.508253867689028,26.961130835660118,27.07824715528601,22.70481108220584,21.67684375774328,23.132663523302124,20.99046884150799,18.086712408731334,22.526539890629763,22.542502207388754,18.077862051362473,19.76627588931228,23.735070666340384,23.053016128423636,25.998508058005832,25.398340054541542,29.215728353214654,27.497287445482627,22.36108167227249,26.34585960361633,27.920092220032497,24.78103090600429,24.04320346294745,29.909432153245966,28.75810108167396,24.150842575885566,26.99419083593161,31.495977454736096,29.84252503703632,26.335100432510657,21.85080765145735,26.385540086126564,23.00515364976277,22.271531408028594,17.166157863199047,15.639250371503632,10.879314161430806,12.821538800218008,14.552116708939122,18.37347034622437,18.54109044856219,18.73217598419582,15.39541155312348,18.621025566639453,15.676642439678734,12.765443210452744,15.170415224616574,16.10660228653539,15.010290488761251,11.129197555957823,11.423753792625867,12.305121531495615,9.657807474917446,5.706408055852428,9.328213578173603,11.634004415023425,13.396608260283989,15.184770091120946,17.17204650271053],[6.268903312603444,7.324749695814909,10.431816369771992,9.39332264786058,13.956238333603489,9.681041128475762,13.1256566590196,15.08147778337718,14.682481049729299,18.36849179526129,20.362553283166818,21.345454377204454,23.309045312971964,22.599915689134924,26.851932418350117,28.140817447447176,28.03956840694771,32.6427269882776,35.93754311241031,37.894879943209325,41.609762453515145,45.118884797152454,46.38843308166966,46.1254218879657,42.80616165410043,39.01614979722151,36.45833526561414,32.395950716199565,32.24108270730749,30.703604807008976,33.743202450704814,32.01854549944619,34.90546858688948,39.270011355113155,37.40757546391204,36.63886491980567,34.905001165778174,36.86506995917915,36.95159705096638,42.011137002379925,41.11763983036059,41.47457320377706,45.46367583982523,45.925871246223984,48.567897328637834,48.82146959131161,52.485951192591,50.51446572122751,47.291905649996906,50.92881493601483,51.46079124684882,50.69546365385755,51.69158894272933,46.39631898967665,49.316977427222724,53.53622701366619,50.58222425778676,48.47552285985294,53.1957926020258,54.76191709027142,50.38081745737179,51.511493343327686,48.97828195948048,51.29855689839473,49.350161971782164,45.30177229371879,42.79261598184135,39.22368163815799,37.331201893250125,34.29179399740583,34.31882159431351,36.70848569513368,37.62483645575517,41.45447798764256,39.84933972110877,45.83322172690791,44.64790572997742,46.64374810936071,45.71929808254837,47.06852239412352,44.34348679419486,43.927434927967354,40.460643321947494,41.80453351727505,39.90875154350595,38.11698173769774,40.6089232926909,40.23136924212042,40.92225122347774,42.8138846564333,40.95240550611681,43.64505716474874,39.92576224301464,37.19736626917862,32.598317010038066,32.52598710913801,28.451786272982705,29.93844199705748,26.73344744782627,26.450462614864154,29.83173289907324,27.76012114331591,31.20561212979367,28.493789406035884,32.32290660280743,27.590408042550752,29.675216654102982,29.44643148533031,25.105151735611535,24.475607181368858,20.042939978456907,21.94429334773216,18.76912075844649,21.285205516244986,22.427847720804955,24.08169768534546,27.57587134976815,29.35673202120243,33.62368296405407,30.789466179886265,28.377380287118992,24.8812771019842,23.61382122988462,20.720196810765913,17.304811183904278,19.774748433653546,16.520285028603983,20.966975445570604,22.93673115850924,27.590583722951596,27.37427164632014,30.897638515346017,33.123320661810105,33.30960250395274,30.746275799951736,27.709571923622946,25.752033747076208,25.283762450364808,24.938738616107365,27.632247465318923,30.620996321407823,35.160871906133956,33.72662627290964,30.937987541309827,33.4702288466459,31.110687718251683,28.175085213450306,25.98870750464463,24.439221025200016,20.67731457192947,20.346349311354558,18.603477253790075,21.747392984333672,19.78438601312569,22.142731169294898,23.994835498228678,23.568307639178855,24.117456587748777,26.386121104679905,26.226695528780095,27.984712812085977,31.350307634066695,31.233389212089435,35.2190962314764,36.08458804614161,34.54751161451788,36.16169987385496,38.22945636196195,35.38346467252364,32.20350052713208,31.96569071557688,30.18999935913875,33.00406685233465,33.37986935606554,33.699227519957624,33.12405185811759,32.08990768534235,36.21008062364699,37.295086162485006,37.14824803317973,37.115568506714716,32.32831998968043,36.81715258587728,39.57189780900081,37.582802481380476,41.085761316099365,40.603050056847195,45.37364495504444,44.91292096383164,44.70984733842766,44.588249280188016,42.14275052629737,40.59290952613485,37.73630750319718,36.8904853365184,36.17233752286642,31.446015783935593,31.396479202703834,27.997678796314123,25.827122658566356,27.389116810820934,25.151888862236074,22.00954084112229,22.738567900151324,24.032008576709092,19.60162483059462,17.664640498104625,20.77872740063242,21.086554794640588,15.279619525700303,16.50362832667488,18.675589907793565,15.154961787246432,12.679783987462578,17.036643344995905,17.874993000965578,22.091480558966314,24.176918164773344,23.857677162024018,26.11934613782534,31.209970668174506,34.37701847796486,36.208948309286576,36.04099264518175,35.45956551736852,37.911848398085695,35.66160946882074,40.11068465907294,39.15156309877605,33.45805905021939,36.3400796598043,40.09241167698766,36.31193959071906,34.380268026171606,38.04646935601856,38.4220772807159,34.19261846952232,34.20990950373472,29.8620723865106,31.798311225513455,34.08639264878828,32.089007083607356,33.65326507989791,34.99665453947837,32.798555591098335,29.81220174872869,29.956740504831696,29.722806627319006,25.525962662355383,24.63341042240645,25.511286640148374,23.08609843392297,20.563575204579543,24.843188067259913,24.306273958443168,19.62389508082934,21.781643674558772,25.71225460241656,25.50594598440433,28.66188026646138,28.38516280277641,32.30838717384712,30.394319169504776,25.548744322898116,29.759243863687633,31.246350322657364,28.085942953872827,27.712815288492653,33.50959104579049,32.18812035967302,27.755790590824773,30.80910627997951,35.16012000545434,33.34194865325556,29.89853490853806,25.360619381476006,29.66430342677383,26.061379658179817,25.16435069822124,20.17456425844286,19.027309267896037,14.253310128088229,15.909642669978524,18.08333315528495,21.87884311953141,22.337457763344325,22.653056238585744,19.398609723791207,22.559504057507077,19.4367511429399,16.487171082659152,18.36305982544684,18.995949414136028,17.21147866397043,14.070681270979817,14.071242183264749,13.896343014076038,11.486862053058951,8.469635236210861,11.118527536305828,12.106760102383925,13.463093664326585,15.17298143258415,16.960976363113797],[6.2202583047068725,8.16441633533636,11.299875203431956,12.925631422668598,16.243137402521846,11.571882993025115,15.205329539744081,15.705393806378186,16.32774101148508,20.78056149672467,22.41942548496011,22.272270944933087,25.070790297929072,25.291823849309058,28.888584232116923,29.825054844663946,30.46471407710409,35.10803540683905,38.97353559053729,40.443136143299604,44.42612272606876,47.699669124109086,49.35013591213885,49.35470404472548,45.80054601490406,42.18520846296362,39.274657276115825,35.18028311503179,34.45688193133037,32.24149177108945,35.35731568581792,32.81638389865604,35.38418065583789,40.03205298021503,38.330291509114964,38.17626184523161,35.919749033141635,38.68485970512314,38.94439119619737,43.61406007678217,43.46422972474956,43.88235558989634,47.61086082712766,48.38595317490659,51.37080662162561,51.840189761429386,55.362441451825724,52.98436065222807,49.868639735163754,53.282952217181155,53.42993930511995,52.36824902086876,53.19263586492005,48.08229663759711,50.451608753180786,54.999101421523044,52.47547407448801,50.00281025128431,54.5993618559982,56.67232188448473,52.487642507140826,53.465869671582496,50.74035671618415,53.54700284217614,51.74563104977974,47.46276512569391,45.45808029093555,41.62281831517107,40.3249211775278,37.04659737153511,37.53071553721407,40.02098330777493,40.37284500308327,44.240781660378644,42.049577565414545,47.72284564640946,46.45406419714899,47.951772197418634,46.99205407613398,48.39523310195068,45.231373192760046,44.92337189726993,40.90639983461273,42.39510057951202,41.02475221759748,39.20859661184396,42.08591385620175,41.076459887918396,42.44984672650215,43.77151398317221,42.37195753512625,45.103277378408436,41.31802078795141,38.21833778306878,33.852036967831545,33.73119951038853,29.988128218786485,30.528840847747382,27.03799075808271,25.534314352756486,29.61319367404973,26.760443481726092,30.97544028980773,27.825470924896834,31.862769513321066,27.374799558642586,28.807791417239358,28.982798926525952,24.710069990642562,23.79064635711559,20.006831664290274,22.83387149018724,20.19374159172651,23.57525246711699,25.137647171994846,27.37965870869508,30.78240210467104,33.07347100243507,37.252559397486316,33.98039042764928,31.995300542421127,28.394535286113562,27.65282054680445,24.45929254592666,20.67941021533871,22.712030721312352,18.2441715993561,22.549939535734424,23.872585393921863,28.03580742388806,28.214007821219113,31.068332018712166,33.9214418259044,33.62862115082255,32.02437646188063,29.31019785136144,27.884751189305504,28.050355300757666,28.366914874498363,30.733660031951036,34.42332420165577,38.78133573916888,37.092586034302755,34.03505036982226,36.14730328068266,33.42421507555702,30.6623932395817,27.850315186454463,25.690866874555415,21.7647973645058,20.214703453918595,18.14896587182136,19.970180226909672,17.403298160466896,20.762791195068306,22.94473986451584,23.508737721257965,23.692493775048643,26.860183080331733,26.579608913264394,29.38349348744811,32.92677262828849,33.577331234992734,37.08242529994455,38.24936750805738,37.33177796393802,38.42560879880711,40.8720657748005,37.829923108891435,34.93748269686812,34.20475442305208,32.56829188188596,34.76641930426098,34.69898841619488,34.69313435391428,33.45684549935655,32.67748885121021,36.106997167039616,37.8377002859043,37.33808316516484,38.06575861727505,32.85059785344317,37.38034364278583,40.35695904423297,38.806249516657985,42.53006483373386,42.41852976143293,47.16294343419316,47.14903762988328,46.61550872047016,46.48026531927202,43.6803193773159,42.09991948551268,39.095266446156465,37.92124144723408,37.04464191659687,32.54083990480858,31.77411510052363,28.224159890294366,25.550411265872132,26.37852990777501,23.560576431687775,21.160902262417252,22.0471791251983,22.242096223849273,17.749323641873783,17.387980504167462,19.391304080610787,18.215062652751325,13.306807226881977,14.973719136428816,16.038571906275855,11.857154763978796,10.983670924902556,15.225550206043927,16.936743523893067,19.755016799910717,23.586498125969555,22.592056996423768,24.021396129097905,29.194144454344645,31.94612383161738,33.9562749845352,33.34152927558038,33.07231832676941,35.40886979799046,33.28606808890008,38.017585954192135,37.232283292036975,31.9212327342393,34.83009709904332,38.88239710465726,35.4724646250018,33.71958572611008,37.54081587840902,38.31144267923391,34.268099795357806,34.5888919998766,29.70216062743073,31.180937870468505,32.88243272922121,30.183323663597303,31.3763378419577,31.978527475287592,30.037178608738913,27.583884366571045,26.864586349813063,26.24468076324488,22.56370766829717,21.599283896904456,21.545356342145542,18.884578564207267,16.89336130149394,20.824952207824015,19.656347828958648,14.955404287102432,17.774827137942452,21.555735597133168,22.003723707439928,25.1730245728868,25.285812478352145,29.38487180216128,27.459426332406874,23.21258728049106,27.636151595976067,29.272750095147476,26.3764922948119,26.638967550648815,32.22442377485252,31.222277747199275,27.387400070363803,30.58249509006186,34.69618184716646,33.22787407815223,30.22018208974988,26.0683081237289,30.576811775256544,27.501369371658466,25.64650711279629,21.304145447263906,19.31076732832971,14.764152802214207,17.831590896774316,19.870070394388843,23.734078092515734,24.045417531375413,23.26590853388607,20.385679404066227,23.01556271063036,20.54487963394463,16.25082736093069,17.099013268330644,16.592194481189363,14.905558470398235,12.9238320711186,11.387991359476747,10.211853133298803,10.11363213649033,7.435602778482663,7.458711099789121,7.051245796496259,8.367880563529685,10.419383559101504,12.25471550567751],[8.708522580466653,11.848899067449135,15.874801701506984,17.212900330005102,21.117923715183434,16.356478757677547,19.755604268182925,20.025520686387193,19.94340372189848,24.36361594857224,25.4876397971235,25.28302797190499,28.708415792762732,28.549079241248034,31.925403808408596,33.18710592889608,34.14793880838055,38.666859475937216,42.585834199611035,44.30051664810398,48.22742236584159,51.688254029452104,53.26554485569121,53.38002468170808,49.938484373345034,46.170362873551326,43.43981258046018,39.245643290593016,38.36666810804493,36.08307917674963,38.55348262534717,36.25028681820221,38.414301708285926,43.143523680489466,41.83595522814641,41.87360810250384,39.84699701733651,42.85008596076446,43.32372853354708,48.16630687046227,47.973351804854495,48.10544377393536,51.89386706940281,52.802667999358,55.72532892141295,56.287998042846766,59.82019494266486,57.4708791154688,54.488916238705194,58.00784696468635,58.084357231047846,57.0714381028162,57.785084698603754,52.643336981710576,54.86885894519745,59.39754365159711,56.828634213433595,54.177813988835375,58.734638424955406,60.904323263062786,56.5601290001457,57.26190328417266,54.3610569040028,57.10020356184355,55.545545245601986,51.27239912144123,48.975795903190885,45.05010289199976,43.55618121823242,40.0317511305516,40.44057748129845,42.588058576849335,43.06554478455344,47.20387405467779,45.1134221377942,50.73864068718854,49.87899479019817,51.22036758092092,50.58018833317292,52.266403166550724,49.21151314292156,49.20692579401833,45.146409871517186,46.90523440646569,45.616505606469666,43.557361010977424,46.24478114509505,45.00812396438077,46.210751367653614,47.14972095531452,45.57495577305478,47.94877932920256,44.05010058924375,40.891159988066484,36.655149593996676,36.05740494085188,32.471597107988465,33.33106088386274,30.00037718807008,28.268895097944124,32.99264344864747,30.46684283978822,34.96467699202164,32.13112308790829,36.440256216807136,32.150193307629024,33.54794327380894,33.88377799924238,29.65363825798122,28.622384658024718,24.966182378108392,27.709767190616127,24.850380271370245,28.188193253724837,29.292887521716672,31.571905495248146,34.80151870080728,37.10759115676197,40.964751065753426,37.59562360965373,35.497857513047265,31.947023103745565,31.430390646343447,28.46305340702758,24.86278943624134,27.35675159756387,23.17762298340267,27.53582782195945,28.922884882822906,33.042609877179764,33.25860153864148,36.06049004002058,38.97060851687236,38.624939176906885,37.07601019324661,34.30328884936128,32.86004045631785,32.88223762672476,32.96346788504994,35.36029873884107,38.79171403140379,43.16708396311565,41.38049833937345,38.45176830400233,40.6146237276519,37.740578923768645,35.05182911675126,32.19697296585762,30.202014527729602,26.094743614162464,24.633675223313656,21.963948199231094,23.496583099360528,19.920002414881736,23.376972339222164,26.220997744852525,27.148730216586483,27.761905238918402,30.9248311459375,31.148345247693012,34.109287593258564,37.41830518025931,38.23844814778335,41.74863870948092,43.08964872344414,42.14162010771814,43.37842178663529,45.777011765137594,42.76811868128694,39.82102681514666,39.17573755266684,37.46255640749575,39.6654344118848,39.52514938225416,39.35999886234253,38.00296261039592,36.963591850315936,40.366438530784826,42.354091920692795,41.94409006087853,42.88791336272177,37.707702742887214,42.33769010564526,45.35822162459857,43.808216191832145,47.42887332080667,47.19049739430588,52.00041909478459,52.007672796591066,51.57729309081855,51.486414546569335,48.71108060994399,47.15360804585247,44.14968037789054,42.95868875313491,42.01488671207236,37.51126572576791,36.67420439935811,33.010660890455064,30.416570536824757,30.91573422101043,28.090086284116087,25.946868726743315,26.547989211674057,26.39262242621767,22.10388686628587,21.782359926402805,23.261801920174175,21.722745905891767,17.22435451384667,18.374871304710062,18.74931848763023,14.70934783615068,13.88030835527217,17.211059913878948,19.563914845925137,21.668303937501264,26.249306914542178,25.64232185885791,26.607306390898156,31.93834475918642,34.07396635607059,36.57601384306368,36.19998288541196,36.403879464644724,38.88837551009169,37.112989625783634,41.888008410788196,40.93174252784074,35.948741618692935,39.04415214316708,42.99932344792981,39.59054421239876,38.11031953810758,42.05376378296386,42.61678494920585,38.566027437521726,39.28657561289907,34.26650274461808,35.91289013139973,37.405101419626575,34.42077757560468,35.5682608112568,35.72535371010646,34.05748888587978,31.86736287111669,30.573504531145357,29.82031898078109,26.582982455572058,25.430346337842387,24.69898303752756,21.975926164327394,20.322377660504188,23.57359418827769,21.81500857522182,17.170811216750593,20.039417082117655,23.4885742972986,24.504631767397168,27.94526863317317,28.65993186201071,32.655784904021644,30.307271867500628,26.640250843187257,31.32294014086744,32.60037544619133,29.68606660615736,30.56172396701257,35.89025946282796,34.517475038706934,31.048608054322802,34.60627110363787,38.35072274688202,36.59916506568934,33.769843903375865,29.632055427680474,33.74988710657085,30.502986575812294,28.32714955254777,24.348629782403204,22.862328427247917,18.532608192524314,21.197239623679035,23.696925542048913,27.484442503358274,28.23829655879055,27.604926694796788,25.1623904893941,27.92408358680088,25.576058777419718,21.179572025493357,21.92288564857964,21.03525581540466,19.312208349260928,17.846139788323338,15.815634543054209,14.194032469069787,14.818754342938922,12.433750546116835,11.45423035764205,9.621884369296543,10.096235249306478,11.638133687946901,12.770901114101502],[11.128368256688072,13.795706311616884,17.28708096631939,17.51145963505113,21.214615139201182,15.66557390120997,18.362823008565496,18.398067706439292,17.381386668170165,21.63011358805796,22.314733938960853,22.237941468668065,25.990801572046866,25.46546376659739,28.658753245522547,30.199948902626478,31.366286193212257,35.73073138848213,39.68259076164742,41.60981845326985,45.46112735891817,49.10121008320239,50.60524446330987,50.87861083715502,47.55960403081437,43.648740169372026,41.116916633115856,36.82779626046698,35.78272130043895,33.532405710036855,35.41741887334517,33.508959537485325,35.45763371466749,40.145695329203754,39.101402268163866,39.15416135129525,37.4926545467568,40.56808727089099,41.299241497243244,46.440068814928566,46.10951192039414,45.81897986901489,49.68056319894767,50.76629711707127,53.607912042196524,54.36304960680983,57.880934536893236,55.53560410351726,52.81891543955937,56.52789244648798,56.473134901500174,55.572080952818624,56.12055450766694,50.906277392848,53.042123172854595,57.43705469442935,54.726779956619964,51.928212282553986,56.45308901930208,58.629542535102026,54.07880619173094,54.51062490049427,51.48812237190251,54.09451442675933,52.75441639423364,48.525194856827234,45.942485945263954,41.968922162320645,40.326337305166135,36.64155060817788,37.02383244317715,38.966638071491836,39.47756222700752,43.76307558182628,41.77632297667375,47.387948574969776,46.847845168719246,48.16946833558896,47.799512891822914,49.73193028152447,46.92845767832014,47.248874961648255,43.351588098093934,45.44028876512085,44.09142660712,41.67170334989708,44.007504635168715,42.69822983468275,43.53837577463646,44.287858728837186,42.46033828143407,44.575102533184754,40.62876283432195,37.52957472363939,33.32857392116043,32.46557619170631,28.914409264839453,30.191452078456262,27.074873181507023,25.71638338073185,30.59839802206844,28.795260318216794,33.18288366304012,31.01139845421892,35.68245983956033,31.6444381650186,33.579948864093005,34.22300470083477,30.14906424531701,28.668513886033423,24.86480891401979,26.91762020660031,23.510409249377688,26.69788046329317,27.10212128675276,29.5029141680362,32.426816762816536,34.87748472589888,38.27589072265823,34.75177380164938,32.64932402723094,29.168256607876838,29.081063859895956,26.3358503972755,22.955782156247746,26.1334802212893,22.618250771762572,27.04566761948709,28.87708352690769,32.93508727910247,33.66008421183649,36.66117355971925,39.240250809693904,38.62474256492018,36.936166955820454,33.7549081963891,32.74816732406878,32.15228453167693,31.84210360737338,34.003305123638896,37.209580257913046,41.44735389246906,39.363351121732954,36.5998208623048,38.744794384481686,35.6481910230626,33.093818592143755,30.224731426809864,28.583005766017124,24.290127236065842,23.366048548162844,20.104420202238256,22.11691516098719,18.110019333131604,20.990870547774815,24.155994220678217,24.92877326908977,26.168227062003258,28.932487029043056,29.901170053667684,32.80860293525351,35.65211481350711,36.715654715039626,40.21672216851906,41.97061213026127,41.13575837114155,42.772172444262345,45.281558343316235,42.56944410838963,39.35062066964409,38.73811835632619,36.63194018385277,38.716751495391016,38.43529857030596,38.02300838082817,36.7188852293092,35.18473821356024,38.86517980912756,40.92042873130565,40.84378233529303,41.887062853703036,36.9889044235591,41.94119070179605,45.045781254254145,43.29626457731793,46.4660469815699,45.848149367729626,50.82179779187963,50.86724155079175,50.78734256865937,50.94634089793538,48.290806748956726,47.07071581324492,44.25918428312774,43.35742661012782,42.787969174205315,38.23539079867509,37.741200837366215,34.38456668482712,31.568644840696845,32.711511479125434,29.700480187682643,27.251839956052084,28.46830080268723,28.679079316195004,24.112584770301037,23.794403456360918,25.898913275535726,24.507064105680275,19.772469593679816,21.317021251988056,22.141609822307903,17.911633622984844,16.99083429792203,20.816147618527083,22.83461842226397,25.445859073487544,29.539121193293774,28.86016843502157,30.134615923486074,35.40593121881679,37.82797841259194,40.11214138569036,39.52772314520673,39.41343206604,41.699731079242966,39.53774771130435,44.33951134476819,43.66419607463558,38.39414178127249,41.21064947722262,45.35705231546379,41.98635372257863,40.16279019926431,43.90733875818668,44.75867015310857,40.69187426731348,40.806282148139125,36.06539113255074,37.31265823102217,39.092400774465666,36.40989290041241,37.30367951962872,37.71576325507896,35.5290693287251,33.464011684136395,32.71917524426853,31.598493415905658,28.096814097272105,27.57272990143271,27.02247467908538,24.122744049831038,22.768417619805412,26.486611402411835,24.748197365564632,20.164143956961787,23.414649749740967,26.973390374298663,27.89563622014635,31.11162331456019,31.40341462684294,35.56510733539257,33.599465951998496,29.601764115501442,34.06189907808806,35.68625512548597,32.79275237898254,33.16376675181523,38.73190673701204,37.61144183845218,33.79509339504123,37.050705913936184,41.145544681427324,39.5136466356113,36.451435396353176,32.15869092251961,36.44585620392638,33.042280199307115,31.331684082845598,26.92559666921703,25.44376177681519,20.815197079864657,23.23504338298129,25.578198251405887,29.43295389187508,29.921533452537467,29.533330978922695,26.374773011362283,28.99316716690311,25.994623825841998,22.216835316985698,22.68243455827699,22.292629872658562,19.63966233671205,18.3959128704233,17.413310199708015,15.281909662064937,14.634794059368941,13.410981958494059,13.701581558417342,11.954407870783763,12.203081205287576,13.463826273814945,14.6070559548611],[9.859346616715133,12.054969296734095,15.355766306223368,14.656213011708608,18.656400596483923,13.269541614713432,15.930972833769706,16.68438019068564,15.362014026884381,19.315493453768784,20.34374596439117,20.874738370460797,24.039544295137013,23.152943217773874,26.788885132194526,28.417384425720005,29.111473642945764,33.522538953148384,37.18488914981419,39.28588614588447,43.032843792398694,46.737273708149985,48.076735456169466,48.175415725032884,44.92986122518502,40.97383733533407,38.55254823485405,34.29908357962622,33.5845053236222,31.68274609258899,33.76350440154545,32.170925633767645,34.43741926035503,38.97650640418875,37.70458561755804,37.383306428419424,35.889391475664034,38.49652759107882,39.068063504451324,44.34494754293367,43.66691513927427,43.45027927478007,47.427783230104055,48.30963278492489,51.005806022576785,51.61603009170692,55.20500526591262,53.05240378149968,50.22498138523524,54.005419004468756,54.16974549145478,53.39567078531084,54.07334442800954,48.775207457575924,51.23745699860984,55.48898971787882,52.58199363206646,50.02584079170569,54.63515386171626,56.5289377085795,51.93262468184779,52.54302434839999,49.67338965300703,52.06456560496154,50.55942088188696,46.434837874369144,43.68896843104988,39.86784961993035,37.97684453330042,34.475777675152116,34.645040130255694,36.654111561810595,37.42650651953009,41.62446120004465,39.899489565747004,45.710669040617475,45.06726040281158,46.699514312374774,46.23021618529628,48.037350521796306,45.400143292476876,45.55216942613491,41.9225331050192,43.839586727311485,42.2082558546975,39.889428225119154,42.117025163361916,41.19576833907122,41.76663955995676,42.940491412442874,40.93787571167364,43.16750780089161,39.278068129269045,36.374692577508895,31.982266621264202,31.305218608721567,27.494654379569972,29.16314349816584,26.106566886275377,25.430372533656545,29.760292212178765,28.18307213879084,32.12932516291204,30.015856101470863,34.496550410187666,30.249142014252218,32.471718146324584,32.85651687499437,28.714956451598738,27.4249124067638,23.278636913479815,24.97530994890706,21.381284793439786,24.198946545445526,24.53659483378071,26.656362330493465,29.68572282532155,31.88823486605633,35.43873423413941,32.15179127003407,29.855086636646764,26.39063653671217,25.985443921582235,23.31641859848508,20.0511335430051,23.330027816443874,20.272135898220405,24.751191563648568,26.840695652504394,31.14362848638054,31.64917337469657,34.96072890784309,37.257592091934264,36.898560534261186,34.753503633155304,31.45729612016371,30.195636397166442,29.36957840125511,28.82425706309578,31.13172778765711,34.080136929852685,38.40527449288265,36.47969062211796,33.80208515112448,36.14075236733518,33.26463331149846,30.592670806129192,28.027125910303756,26.611703439786396,22.426825669501277,22.029805971919846,19.10521665105275,21.870128826743162,18.525660344348708,20.930321037822125,23.70278439232309,23.867655995342623,25.126546092298202,27.491740899622474,28.333345200995737,30.70992826083047,33.56458839897465,34.20161100652033,37.93929957193079,39.4800349235565,38.3529036050022,40.177447037541384,42.512795589276585,39.87184187164684,36.55045685469622,36.144175794653286,34.011660383073625,36.39134791245711,36.34881736680816,36.15231486939503,35.1982541347201,33.64235699107506,37.66895564057773,39.328938723950074,39.37568647918015,39.9802349825642,35.24982018030863,40.14184035460679,43.12548312880133,41.17798717095,44.30111917590186,43.56174756198593,48.523235749014376,48.34157084125772,48.37111884850627,48.507786974414955,46.0097494194052,44.77651940249037,42.02309084822827,41.26207357322305,40.759947574070154,36.108583516719776,35.93915678267022,32.65860207037869,30.059491450627952,31.576266417283787,28.83510460765712,25.995132671153154,27.176816464615428,27.940329002824406,23.337880892174294,22.33184440185637,25.00803360461186,24.348541735028416,19.069865966469038,20.544982585986723,22.00162148379012,17.968541706496676,16.339221727942853,20.46725419427233,21.994514172380406,25.390954696600208,28.57456558055719,28.097571103873076,29.852470389954032,35.07970152041468,37.85157632743808,39.94643987199781,39.52780327450045,39.16351337909233,41.49323397221889,39.203505243977496,43.87252293136129,43.13108917211539,37.60098299856893,40.387805025714805,44.41090546856746,40.85643779059896,38.902298087292095,42.56302538077567,43.2627839212873,39.111751505113965,39.025692437539114,34.543665846131134,35.98846262119969,38.078793395693026,35.76785267160484,36.88015581043034,37.75281461946299,35.4085338138074,32.98613174063551,32.75504022269177,31.89769081235644,28.01608415576348,27.50334021061087,27.572994578662886,24.794345880893278,23.018064607556408,27.098188416414462,25.82565456586892,21.138535995439383,24.058947049692875,27.827722990788505,28.28810369767677,31.4780076528709,31.461162688295314,35.579128633683546,33.684471245398775,29.25054221515436,33.59017676006248,35.21785169431066,32.19181751948896,32.15569797170151,37.8848208813547,36.69162003201545,32.52837686502605,35.65338463224818,39.93139681963366,38.20165185534953,34.91081319676616,30.454876173968575,34.73508736781235,31.15376382092665,29.915124576588937,25.1663343231496,23.920503590232773,19.16128461314896,21.111948658110823,23.402376264650936,27.225913094999196,27.6829031119511,27.71689647958836,24.330954320944137,27.150168675105707,23.868431302645654,20.655383860118533,21.60915771652006,21.791131035757825,19.15684013019467,17.21093679210249,16.926449183224463,15.384239976260655,13.580179309402597,12.054146194457243,13.562787023282812,12.837790315017328,13.476933813394675,14.885508604426652,16.316913319236058],[12.032031826894048,14.621306416904153,18.376531601838774,17.214413863341118,21.676943039932347,16.518288347094554,18.97022229779791,19.873105337968564,17.968059967761697,21.542862565740116,22.256923559672334,23.069018746007092,26.358655549601217,24.938302281542384,28.528265844735657,30.4807512129228,31.174115755550016,35.41514871106113,38.89330928273708,41.311075644920635,44.897915223438076,48.789138337548096,49.94352225255105,50.04035654200629,46.97661392016611,42.885721940837044,40.72917687160056,36.459661696766496,35.81088280616903,34.08605254714351,35.65408890022849,34.50765600328358,36.56818127500471,41.034799255808196,40.00062283786536,39.62512199642966,38.4651463265647,40.97316022350185,41.638918292268855,47.11519948552206,46.1910875444945,45.75206466818932,49.82541688605698,50.70299514989268,53.234926780147276,53.845731895005265,57.46912269010584,55.47033705421525,52.721567290701216,56.62745628246998,56.86073488982804,56.20738937060808,56.859223206974384,51.50591491914514,54.02589413670357,58.144627703721405,55.083574411860646,52.52812632349483,57.1263870174382,58.91918201333818,54.165440890151814,54.61922007303855,51.699638649969366,53.86784626975396,52.50566930538719,48.48978398799769,45.38295300346405,41.61368324004659,39.39666442923514,35.82297194908037,35.778576508416684,37.45472721806405,38.51287797348707,42.86923530746555,41.4360509524567,47.269030090923124,46.96476161347997,48.63763664223482,48.414266419459025,50.39556963248495,47.98753968434339,48.314549437715,44.838258425562984,46.88214532438604,45.15999167197125,42.69879824631087,44.66707975115277,43.78734538541846,44.02184185988833,45.09690590118333,42.829888622341805,44.764774938808294,40.84297708639096,38.04841034471758,33.72165546606576,32.71073814569049,28.962179160236424,31.15625004557938,28.34775117243562,27.896470596180166,32.390209847001046,31.24265654714478,35.13012820685388,33.32629271252636,37.89465811031255,33.702424350870004,36.04474104380663,36.41083757279128,32.261249800862906,30.99608706934694,26.78658728460798,28.262369987989214,24.48287463224241,27.02314596329437,26.944979139149464,28.885599022403188,31.75526692638635,33.785949708427516,37.061851671849816,33.88013642430593,31.403785812853965,28.080722638128634,27.710678694866413,25.368736361319893,22.430195875929456,26.029783592775562,23.458943158275247,27.934358471164416,30.173865837537413,34.55517030668577,34.96810618515873,38.40383757973656,40.58377079681401,40.322660644769094,37.97422187189153,34.586907835859144,33.182390191136086,32.12730008399702,31.265020635544474,33.64239481730643,36.17408486296488,40.51270018460847,38.60749666632158,36.133349921289955,38.60104709617444,35.75501394598555,33.11787631992455,30.731527788453405,29.596788927583795,25.404874187961425,25.332551354479683,22.198923796750353,25.059429847624287,21.3506185386135,23.52195010598591,26.56379461109881,26.689661749174963,28.27727168820024,30.391366392038403,31.5555735828449,33.74402562152624,36.377670422631354,36.90823898213406,40.75259293661604,42.31573733049287,41.00247593979451,43.055570606109136,45.2412780451683,42.69092714392803,39.27616235107976,39.062641194838676,36.86284754787549,39.394614770593044,39.42541323055219,39.21814471698495,38.37238307135021,36.59549554830005,40.77342176661147,42.40751768860076,42.60856266604011,43.136133521722854,38.55701167910705,43.48121352454914,46.42555885375323,44.36430179563827,47.34918407440235,46.422132018469036,51.41581635078872,51.109826759333835,51.31012035088171,51.481164619999696,49.105105140103994,47.90218444478636,45.19652499271429,44.51144200800003,44.00457142863281,39.303538915365486,39.26310087881233,35.93924742777235,33.50569367092126,34.989700181781494,32.36794221399335,29.494226299386685,30.46144636206837,31.274298572533265,26.748016124485204,25.42934842412039,28.058028503742886,27.53191013643151,22.18021551035999,23.325371983935277,24.693391640423535,20.80740672379456,18.858998116229184,22.608395288819032,24.265806841294943,27.642002662662204,30.796249898414658,30.69523423302606,32.4154131222592,37.734343299284426,40.28703215641159,42.617604310467996,42.453911115782105,42.269965816631824,44.72936995608094,42.59387256170471,47.23845472991748,46.34443463697413,40.87503856048893,43.781948601772164,47.684051405482606,44.017240169634405,42.17377557653785,45.88185571393241,46.35098638608366,42.13936419853134,42.222199138114625,37.78133672049988,39.45223081890276,41.57087716796327,39.25504299382355,40.45244906039751,41.26997049947451,39.01059009519096,36.57479043367727,36.227096980656555,35.40517685057877,31.599500590710278,30.96490830706839,30.915540120787405,28.136027540445866,26.34243108161478,30.222815832128408,28.816196507547403,24.093028169699554,26.89558335041741,30.582361757765497,31.15692448366424,34.51676917039693,34.7238908515267,38.77248817018855,36.63224234417976,32.32243512157332,36.79188802406239,38.188408166145734,35.06595422990069,35.220265323331766,40.88366036141691,39.389139540442955,35.271450984731125,38.583381728504705,42.714780395139584,40.72138000300294,37.41881168674439,32.87519316948587,36.86310152959185,33.05115173969042,31.875430184578406,27.19611304820291,26.431442566338887,21.747813219204033,23.191908151636426,25.763910471547014,29.499327572325573,30.261085887354582,30.62288603494947,27.433912270243876,30.451428665790413,27.13969371865903,24.086102269938642,25.22282956224434,25.401257808878825,22.790497083900938,20.819932247514693,20.436249708307514,18.920791504203834,17.208658308446818,15.53142911141249,16.843913133690936,15.886799762139242,16.363941423789697,17.595408105548444,18.732334599817307],[15.10186514501758,16.944462423552853,19.842936481382168,17.597039723019037,21.574232314925993,16.195147236532335,17.672659068511297,18.61069142451789,15.692720736055831,18.601774728652057,18.95330786685283,20.26024915779355,23.42685339134348,21.418157347927334,24.95581436615268,27.218040963066976,27.858352486390547,31.876128639192853,35.19599827449198,37.882970004923216,41.30683892632008,45.36642024439911,46.36855264963173,46.5485486516964,43.65973068861906,39.44991597681324,37.56874592046006,33.284807489836204,32.636468539014245,31.156940863711124,32.19663704966988,31.641361895903735,33.614380324604696,37.88545008604923,37.00510597757124,36.46179128837343,35.76176248496551,38.073992186818536,38.90891551413611,44.653962836750196,43.46151232487619,42.64980211635757,46.80244026777673,47.75327391339369,50.124861460072445,50.859007174520166,54.465548708755826,52.56268018306618,50.04820630094214,54.128786259052994,54.31581711117827,53.83211637275128,54.37515924639381,48.96749098881133,51.518013494269496,55.41665691062442,52.16357947235834,49.5965269578242,54.165373795795034,55.827141992047004,50.895227455443255,51.17196082661974,48.231504665764184,50.15836362759039,48.93291944583387,45.03930444866184,41.60424067346767,37.89737774696197,35.428837650273486,31.81849882301095,31.63316938345077,33.114261621504205,34.33516897578717,38.763610238934355,37.57874605860662,43.4524926009968,43.40208299241521,45.19457514948018,45.17944130398754,47.31390133719806,45.24613681408961,45.79556463929469,42.638802911441,44.882900888152,43.00670043847334,40.287421485387846,41.84134992565719,41.08717451473586,40.841963382180474,41.932593605071325,39.360453843809076,41.08454895051542,37.18814212748166,34.595990726449536,30.271176660909987,29.107252778386968,25.3200351342554,28.137460797544424,25.67029017062494,25.97899961947384,30.17763054430878,29.849734660680102,33.310546686225166,32.185973769979974,36.87796010345802,32.92965668619945,35.79472495728555,36.32435484448164,32.396639775988845,30.850336315153186,26.54838531127083,27.19640018031285,22.99134651577297,25.08816512194965,24.23870119218156,26.106177727779937,28.619910629949793,30.646048360013168,33.45024331041323,30.26486992849818,27.72626886035972,24.55938589888574,24.527998839616114,22.55833447574676,20.07035996711192,24.278895206346245,22.691094787143264,27.029468706040493,29.688645750880557,33.96639171722515,34.75630024637991,38.39226558941778,40.13546483382794,39.72171637113333,37.13345140185403,33.40517837463544,32.36792229431543,30.659279562357906,29.341090092195117,31.472058292464848,33.61593381489755,37.769052485721,35.65119068400587,33.42679549503027,35.9121777082406,32.994360311302316,30.50118416020389,28.30879760098319,27.67305196802709,23.525898295559735,24.222492287252315,20.88038109725334,24.359555858360586,20.837375620289283,22.096390682999672,25.076078767047175,24.740102048703513,26.863581829348785,28.327398650660196,30.101476764177693,31.9430840743997,34.063600790130714,34.637894856528305,38.496864915553935,40.343279030710136,39.057991870614785,41.5291594265133,43.73194657236299,41.536573012114005,37.89083421991937,37.77902094554512,35.232605201894245,37.70544282191495,37.696235580339184,37.35045901864496,36.72266518154422,34.513144590842316,39.01949092543446,40.51044290312672,41.06726434909659,41.495612932306734,37.33197214040262,42.433829869610726,45.363454527166056,43.07662282303613,45.57904028445497,44.25732147859955,49.33831716360199,48.999467138458655,49.564048273676235,49.96330118865307,47.78552345657135,46.90718807078097,44.439340441946555,44.07850876572371,43.947549850833845,39.257361343266155,39.62441217746306,36.67054320659803,34.156211526072696,36.2733499143077,33.627688051393136,30.464642862177204,31.924464748364706,33.16249828254023,28.51846457276635,27.10784688184646,30.29792745731933,30.054000269102694,24.57035971860696,26.001644719386434,27.802269065824294,23.883548007462913,21.88470466097931,25.993509401815036,27.243439873359133,31.095681832051202,33.63057869956515,33.44596886626875,35.50514235303641,40.69288168387245,43.60238404423267,45.6373268437189,45.30424438940023,44.76042393947833,47.03102105045222,44.53601552779289,49.11811144798273,48.468644975799194,42.72674973707363,45.33902330818527,49.33853609151985,45.701230632216706,43.53073213283246,46.98552522462127,47.68250819383429,43.49333871137495,42.9539972834639,38.91373858819702,40.2474586647729,42.676847581114494,40.77062132962269,41.80362449360752,42.97970906048725,40.268507333316414,37.85394484660664,38.129663770396796,37.115274011665804,33.04518758036985,32.92349928050329,33.20970720487041,30.38833924765433,28.728478293031344,33.00328123813156,31.77458730860695,27.131131756689598,30.09930682464653,33.89965961177821,34.26322179931877,37.387981185950004,37.14669124983316,41.27879203285298,39.519750895110725,34.86396726414628,39.04169601129135,40.7393451633833,37.65208811455201,37.252238708706294,43.090778216518714,41.855575741796336,37.404282209107166,40.338548448967565,44.790620889642476,42.94286812519379,39.42656990439533,34.80808028064646,38.916328231035905,35.03982007557581,34.40017757298432,29.381694128847386,28.61160870596415,23.831596059987927,24.981259766071545,27.242475538479255,30.907582592860834,31.35184771210617,31.990233157401246,28.200260285342626,31.024341236581314,27.169741983666192,24.97070171387484,25.95657399805058,26.70063773655404,23.512441801616767,21.59937029524669,22.229801126655254,20.611177734380302,17.75646132975015,17.037499187393244,19.3523034168421,18.726107235826888,19.187500493035692,20.275644326711436,21.499019477735878],[13.204274599590384,14.50539212375631,16.939103067445465,14.483714424791325,18.31041198322842,13.015911748577496,14.586046529374414,15.898802329915249,13.266815738743928,16.289086035690627,17.17638058805509,18.629549909606908,21.310622598707308,19.52177492099207,23.42288211618091,25.452444056150966,25.78122650017038,29.997891839529945,33.29115489204837,35.819672302451835,39.3243528426521,43.26423655584245,44.323283298796966,44.37837817869298,41.37046889427924,37.24200149904602,35.192441248821765,30.938582669421873,30.461739295323735,29.0440992126383,30.673736732460902,29.895884384605157,32.22961420064605,36.48804205720737,35.266048793960394,34.553738577443696,33.64374534370722,35.76033909774799,36.39797420762065,42.04477542495902,40.85138107788543,40.30661754837033,44.45349416733163,45.26688821744015,47.69375113205973,48.31543137456314,51.94906254314979,50.03883678380692,47.3573894069404,51.36725791259596,51.64843982246175,51.12825928940975,51.786906477213016,46.37593374148516,49.08120411918984,53.02357786051462,49.79226384943772,47.376545775571024,52.010636838265526,53.59395250673784,48.77707155963774,49.31046582600823,46.5052509635265,48.50350534508667,47.0442272044953,43.11425555866467,39.89423404648164,36.234690348716214,33.88536675352275,30.455832691194143,30.31090887600203,32.12765587302878,33.27939721973217,37.51897149177833,36.24269445710918,42.22000280884757,41.80821961604069,43.743870483986704,43.45037612968767,45.353520512643286,43.16466009926368,43.44755085002415,40.295523810475906,42.30938482586006,40.35151673633803,37.83936809820584,39.577334998435475,39.014653016919404,38.925371480254796,40.35077863773911,37.91846341069516,39.96976675203517,36.13257596168363,33.55038717152139,29.062226966836555,28.299157197672535,24.312483946183136,26.87507362099914,24.21672842848293,24.65688221452992,28.43076616785268,27.811064398670563,31.097339719101374,29.69885144768139,34.17796367609068,30.05432834195633,32.92087342443059,33.28854201498757,29.32908332196407,27.923850426401934,23.516796231547833,24.17005134528768,20.039387441687307,22.11551415477866,21.601046013546217,23.414894133910515,26.17663876401294,28.1642156285289,31.358771795833974,28.249531400007232,25.70870620748088,22.4083362625208,22.070073409330462,19.855544668567493,17.15496835373711,21.166065099204122,19.48497973507774,23.835253460263978,26.49447590385852,30.852976726278452,31.52206079224264,35.21311947628399,36.917479605645276,36.613105351813616,33.929132413219165,30.24719496094668,29.106288531718928,27.4857892538712,26.284608639594445,28.498852734550287,30.822196598498255,35.06245263481006,33.06269730776023,30.70749311448066,33.23066730734894,30.44360113841658,27.824055113401858,25.679057043657604,24.931461256331712,20.869576242825463,21.59075152887173,18.65632599753305,22.39273130779789,19.503701638682298,20.775015286378114,23.317352227233904,22.7081412967246,24.528692398109683,26.000762679706433,27.382391388258856,29.059701805473015,31.410174389578028,31.77817962137079,35.71163096524152,37.366048998708315,36.02014893426361,38.390853404907276,40.58463899346587,38.32196766830019,34.711423408857776,34.58387576415706,32.115782324811846,34.676001686947004,34.77075910369453,34.587198048679056,34.0685482963455,32.06970662581514,36.61992128634487,37.90889760680924,38.37668431282443,38.60658610326673,34.390543230399274,39.39359785505678,42.27272074200597,39.98228826449986,42.62142432282173,41.418297567343735,46.45380657440056,46.065658846967544,46.52232502761159,46.84788496345531,44.65244686774528,43.697746792838146,41.20234369288152,40.82865516511316,40.68783439315195,35.99114963293909,36.40813925346184,33.49973681644165,31.033662731068944,33.28432349236363,30.740888586563898,27.455598751368683,28.957904132752393,30.398439212747164,25.771057617749488,24.21586177370154,27.628554361934157,27.650270210665685,22.06325235495617,23.59051789878573,25.671838010743834,21.85172735278078,19.761236032747366,24.08763869454892,25.040146681618737,29.17296059088349,31.312622720607727,31.01488051625183,33.272476557821165,38.349240887487696,41.50201226664234,43.32123063174789,42.938693753990826,42.2069436893115,44.43073946111225,41.83832204224646,46.346385142406874,45.727752263578225,39.88341277199567,42.42646827222905,46.40028203752279,42.751467406303824,40.4968777051212,43.8895770925477,44.61631522131352,40.43998263646631,39.76508942732213,35.81855905045825,37.15143037208344,39.67714489583892,37.933618057982386,39.04556022252729,40.44206136562121,37.67806181657407,35.096863200691715,35.62907877783644,34.764622117365725,30.52717934311479,30.42275218936257,31.046212205448672,28.325271608978866,26.47942942514067,30.939295466902127,30.004139869590716,25.38857318085059,28.20646297142634,32.092929287790206,32.18993438066282,35.197131084342324,34.72623374739481,38.83056742712613,37.22214021435561,32.361896427291924,36.39135517945779,38.180018217242434,35.107757045204444,34.44932544471245,40.342808498444505,39.23389798414959,34.649682079084144,37.417563035567134,41.98862317411737,40.24870745994744,36.670351343044516,32.0679656068336,36.3063851318691,32.518241521502496,32.035308815722516,26.88937090517465,25.96699508050843,21.17614904106097,22.365819843060088,24.415856765320644,28.078216865491466,28.342062170364176,28.978059779568298,25.041327241541715,27.842413383708973,23.933454493659283,21.927276012338762,23.070696929346724,24.05598970822685,20.987022473605478,18.750670242881515,19.71248132217254,18.427895941589547,15.106731871572967,14.325600348704253,17.188176815813843,17.11582077252317,17.819848150248827,19.05089183863188,20.523764492185325],[16.36223105309069,17.019572911104493,18.711212543861546,15.096862389457293,18.529728896477287,13.836557839188936,14.384595631415422,16.219929323153927,12.75037671987942,14.537472394906398,15.382823548180998,17.75434965680869,19.672834037788487,17.037131259119093,21.208965882891633,23.534894569901336,23.37691116334469,27.363220022970285,30.20383347458595,33.10653979341021,36.34967547937829,40.46081155208541,41.24251575719981,41.20537471457182,38.42698249442951,34.18244854670994,32.487438846198046,28.304486232084656,28.14445899680885,27.261358036573352,28.578086801358175,28.549389760837123,30.990578145468177,34.912577827387175,33.667202195865194,32.543925201303104,32.14560732565638,33.6990164668302,34.32548273447108,40.22256687523394,38.54654093054225,37.779987434116705,42.05448101467207,42.74458071620238,44.90538707239652,45.488767659839105,49.15695491261181,47.49742965706956,44.91206872875692,49.086873257383985,49.51685136171083,49.22304868426919,49.900710109334796,44.42601232904957,47.38559647477052,51.029159690322054,47.522393705522155,45.305975984392326,49.948932918120505,51.20643137221206,46.2442046845005,46.77690175524042,44.09181345522833,45.71218248596223,44.2393559946862,40.52007427474064,36.91068231909199,33.46681790435024,30.688506535732632,27.430071996268058,26.94409787142217,28.61499922209683,30.163213416396047,34.35878728451754,33.54053365242595,39.65493060523406,39.380564286348786,41.62999107026774,41.43253081528893,43.3440823649423,41.55831245867397,41.87857750880061,39.195858147956976,41.19862677239343,38.94371780616096,36.35649012278442,37.67246240764848,37.509128059371214,36.84420950853039,38.58333867755065,35.805855376255124,37.74299697775956,34.0154534206534,31.786919117619384,27.249675002321677,26.514274813322594,22.402887452445505,25.71650242406801,23.467421845193154,24.901554804890154,27.979892881821744,28.107790947682844,30.712025876817705,29.863541176053584,34.18119371713726,30.180394818142545,33.494028241569744,33.776005138399846,30.02046438445561,28.62523132570473,24.112313750161498,23.90113714059895,19.510760879188016,20.777881051095008,19.547307907535437,20.931728978740722,23.43050000719266,25.11106099022453,28.015881662469003,25.183325879508747,22.396653485701798,19.314198559997603,18.92201118467277,17.22898896397024,15.23153620092206,19.707692160253274,19.34978729879724,23.399863807637107,26.44937405874468,30.784176351729183,31.498850997255147,35.45472332667178,36.63754734166293,36.44242509312969,33.30147578988736,29.384812887443257,28.3002853787704,26.039707212528683,24.26859459298048,26.394282971293304,28.08002808973455,32.22097527328126,30.232991627423523,28.20407196643998,30.897251463352596,28.30211605717536,25.74193454156801,24.096440811866696,23.969264004987814,20.215350536933805,21.878352475991157,19.212343170249824,23.584944765806785,21.296504421111347,21.6769055660992,23.823657795029437,22.518894898428623,24.66003616262736,25.313309501179415,27.00175273799548,27.952553847067236,29.866643300005478,29.883724955134536,33.97381616997878,35.625985175055916,34.048925468032074,36.858744026094016,38.87173877799248,36.94790938949461,33.14387106095297,33.28709390157742,30.59732437344447,33.330377093829334,33.5952924862521,33.489234669591156,33.403540895099596,31.120182445239195,36.06103179855496,36.943208820146324,37.741799696165295,37.570395466528765,33.849430495777604,38.82734669712019,41.55769833442096,38.996096208060074,41.23231542225338,39.66252158530632,44.697278285102875,44.09511901932056,44.895596082616166,45.3528421399191,43.44367507852532,42.70368690047557,40.44486391095719,40.393213143186024,40.53214194903715,35.85609700340379,36.75771500694517,34.183716298873,31.909423013546274,34.68515831939085,32.379893341313675,28.80635242761246,30.47393026935195,32.42558108166424,27.8888665407736,25.911600509196507,29.798057553568583,30.363949056923598,24.650895670071584,26.156014223012566,28.656771405772236,25.073493499244634,22.694028021062884,27.06406949762939,27.569842093488724,32.187478320349676,33.49324882287163,33.335736295359105,35.95619282541084,40.86192883761367,44.29908727791969,45.880768974574416,45.54753088391608,44.5341967732632,46.67438406817762,43.88383841049745,48.212829008541334,47.671007107266085,41.63093594878059,43.97236303174689,47.84530361566541,44.138162432067986,41.679481161131235,44.826860019371985,45.536652057285124,41.38011348776461,40.25793003350902,36.80203967332342,38.07428208996771,40.92290915851707,39.659549972728314,40.80101332919139,42.61476377704214,39.58687143567312,36.866726861862844,37.97977730168057,37.17938547198079,32.71708118763412,32.86549367329054,33.93091104204191,31.31181849758133,29.382461604663487,34.05360677277043,33.409408034008734,28.879789652859866,31.545710313378912,35.48915169748223,35.28901195766107,38.14165555686411,37.3374061871535,41.37540319479299,39.982696851871545,34.84025258040912,38.587499501676895,40.46210141929729,37.37971595881733,36.24718497110521,42.196201949761566,41.15269443912404,36.29082961697598,38.74121817027319,43.48895868677256,41.755749955848145,37.991168895393855,33.34678502091779,37.48820679946187,33.60474514145161,33.72936820949764,28.377659285933163,27.71798523561447,23.052432997288264,23.62893797319088,25.41055365579739,28.837744744676044,28.938633785546667,30.049704451475137,25.80298436882946,28.537350550268275,24.258632676536656,23.291319368440604,24.614293103053132,26.179775449009373,22.986714751941495,20.525981107823068,22.303634910577397,21.325821896838622,17.163936559232564,16.798694862408407,20.384066486733687,20.78274803937177,21.57877673827997,22.72971914576161,24.231339496897068],[17.38426768763367,17.558728145838113,18.908821032531993,14.445424786908108,18.002451011953347,14.47093390219085,14.82910772840114,17.51189068928729,14.196129404783514,15.095887909347601,16.42310610283362,19.435860528854214,20.31376040835721,17.240213442726475,21.846370262012904,24.166745377355223,23.245254367746814,27.121197413137782,29.352181950950154,32.48683798990577,35.47950940005672,39.61867149100918,40.117223719274094,39.77559223864135,37.16531960040379,32.91859554005165,31.457953817715165,27.46339060639919,27.888410911824444,27.584803598364903,29.149942242300483,29.5299816340825,32.27782944529583,35.897964299877444,34.38762034405785,32.79350446181162,32.6101052456179,33.4425346977227,33.782725156909926,39.71727819973793,37.55772321691375,36.963419734060146,41.336076678274765,41.68062059822891,43.58354304200477,43.899336109507736,47.65014617329335,46.319728340293885,43.558737477717855,47.7726266789453,48.5490292938986,48.426251914066114,49.30300413643028,43.79616454768775,47.1779658766485,50.594804522706035,46.87265029730092,45.0477898588778,49.742606797772154,50.59094938220894,45.64363025212737,46.443578954489254,44.02132861411989,45.30959774686004,43.609288663133945,40.10868726573633,36.3152919441769,33.19830117418964,30.06390798552099,27.219245004685508,26.34748532108561,28.030693618553908,30.019863440483725,33.97584130838841,33.607608809614064,39.861219927476895,39.45102781516796,42.075686317474535,41.73899445323788,43.42951799998765,41.870523835285084,41.92543322816023,39.62113582294527,41.31123892989134,38.7367748912039,36.401119998919576,37.575445394366916,37.947375681528655,36.970021496977154,39.24292975295649,36.31855029599687,38.35863888225342,34.8057584854553,32.899900303256906,28.301803282881583,27.83300570220237,23.6152195104191,27.235016541176254,25.16472777803025,27.15777521836658,29.532386445033637,29.774732709766415,31.828529897824655,30.963012912006803,34.851612426382545,30.687988767071147,34.10980986144299,34.01173194668774,30.27259177687876,29.26246559211334,24.604985928880502,24.05177780497242,19.795015163374288,20.32917807707792,19.086291081906705,19.77138035291261,22.362403714789103,23.43282271752953,26.560615357947224,24.303588567026086,21.205017158120956,18.33641391004725,17.209230552844456,15.885806252955955,14.435517302851965,18.714178907877887,19.20472355347733,22.996035155202378,26.18107658617753,30.6786473703625,30.94529234933966,35.1534315087148,35.99565151075217,36.21981764798707,32.55492106619225,28.679526500202037,27.130050660345407,24.65263643368101,22.51722137634549,24.895871524218414,25.988472950683633,30.243613844445978,28.64134479983706,26.8324973837626,29.81137790045305,27.703951612939154,25.03215493415842,23.99557257328027,24.19363175767139,20.88887561333887,23.032807095887907,21.03825137798649,25.727492206433443,24.105405073507853,24.255320204878103,25.904490647153825,24.08924941993991,26.02840060746026,26.236816799958646,27.566562845425025,27.739407293502126,29.655842764352087,28.95243686567621,33.310676728017384,34.52028485374769,32.45470314527446,35.46224684744299,37.114362935227234,35.28775777834247,31.443913273503664,31.94567414882958,29.359763101122937,32.52160535495384,33.16551948764376,33.41167461177833,33.78658463585549,31.628556917250332,36.79970202482182,37.15946670482726,38.03786771728299,37.276349639214544,33.83283442007884,38.53315041218568,41.022703269092084,38.27494588916563,40.48492771302139,38.82716876877834,43.73054633728631,42.7747806848224,43.675312235671356,44.041887012223675,42.37274136232839,41.55529046482107,39.38228293667793,39.4679417590363,39.60217485878198,34.90919908399776,36.15891230344228,33.67985883798148,31.833091226579146,34.79271162476214,32.91942584359058,29.126769188247465,30.509302170251512,32.90977046852783,28.595836784413738,25.931028755785118,30.103996850125718,31.34992386365742,25.445174385869016,26.65916799284489,29.522831406555767,26.33943044173056,23.468597550793632,27.677169317934215,27.76442151300246,32.834451438056355,33.26674879983767,33.42403724418273,36.37044311603592,41.13275536276147,44.73355910791562,46.19628630341264,46.13037976722623,44.996569673674095,47.21331923676952,44.46289065446668,48.57030490057488,47.87361191004417,41.75220334505547,44.101811301129636,47.70150366235724,43.82471531628255,41.37153998028051,44.41309952771938,44.81485499635932,40.63313698049556,39.467244454188794,36.36257117759421,37.96976900771996,41.03923553735891,40.130890693102465,41.546486980525636,43.7058065614362,40.72194992476997,37.68206260303112,39.11367280807028,38.6581098375956,34.03838282125815,34.03195030644148,35.542422241856684,33.1201317812902,30.847082753275295,35.550462140655455,35.258898217721544,30.744713094487185,32.9937630478257,36.96890684042163,36.42766726967538,39.267301178010676,38.335598497013066,42.19488068059317,40.7678486602794,35.43735103387805,39.034741813892964,40.745327654005266,37.5830023540594,36.1993575445149,42.10187634615555,40.88547734036473,35.854028923701556,38.186108062237274,42.921820755270076,41.03027981781131,37.141116905009234,32.46211191016512,36.34928697286126,32.346336022778374,32.97728413792646,27.551585286992026,27.32838990683959,22.898721899714722,22.74585985726612,24.41801115850544,27.56753716124408,27.747322984128893,29.394522287461673,25.259167654886017,28.179675159506992,23.886297483162043,23.61685558383624,25.490448116492896,27.420877848101597,24.619863189070603,21.614623566980395,23.67532940329598,23.315764425632818,18.85158086508473,18.04011500088743,22.021613399983107,22.988923075334483,23.998353155441198,25.211256342778768,26.77933445458955],[19.9963290006939,19.499030453438476,19.700921533436542,14.92850477692076,17.079965458779345,13.99154023442206,13.073899958209703,15.818289591824284,12.196600690559467,11.813875635282939,13.305621238691712,16.890852640188886,16.817651356069565,13.387618507605684,18.205613914642854,20.48052338514273,19.118570179087275,22.889057057587454,24.928944538632603,28.109614375712017,31.03834534353771,35.18412430977125,35.64599217923795,35.31016826459923,32.714633036329936,28.451546761731482,27.06777840372721,23.11120367547536,23.695786267760543,23.729818684360062,25.358643680646693,26.07146783712608,29.01486654686705,32.346966843786824,30.669776925353975,28.788580304308713,28.83720663247735,29.292334702580057,29.62385549246086,35.65232209192724,33.31689195725525,32.599271439897024,36.99791674493206,37.33088171447604,39.18001528909114,39.56310236633216,43.29553919849514,41.97553486258289,39.328099478851136,43.615084083499255,44.35524988363353,44.32373494526715,45.1629405184165,39.65018899946755,43.11350009602676,46.379993871947555,42.56301645096668,40.82877853927031,45.51815573077984,46.234396430609685,41.26441664213646,42.122982137014645,39.80454162246757,40.992797621124275,39.209338536350415,35.7722405700173,31.959159606767752,28.949520150323043,25.7745129575963,23.127190573769855,22.1997579597665,24.113002480722084,26.09179220809669,29.853556279399676,29.56935764572738,35.88071463132882,35.318804060899254,38.13410352268151,37.709662366543554,39.305368654512975,37.93206830792001,37.960650716088615,35.961742437015914,37.62684678860954,34.90683177972999,32.530347892284425,33.47468936232468,34.10910389730596,32.8764337719565,35.436853325079035,32.44476337586666,34.61058849862414,31.20290584599161,29.52680744348088,24.904431999596337,24.76931630852926,20.491654772314888,24.25614501620222,22.447198616752267,25.16129999126441,26.709732905533045,27.429363550943126,28.834340758544226,28.410891987928473,32.10542247004983,28.208322112161,31.984160139443023,31.970482320120396,28.59522314731115,27.425240738442582,22.915016631452723,21.525039295742626,17.190736958061226,17.054555089518267,15.206374162939055,15.668390021510271,18.024594241575087,19.086182731267243,22.088973206095734,19.879544809608745,16.74190336175075,13.922975836194922,12.875300586792342,11.848114998027837,11.054750997733212,15.664707388735472,17.318356703150222,20.61499282646941,24.054848672610763,28.25281181408607,28.883336069609,33.126521438133516,33.53136421558675,33.602772309748325,29.814376372243693,25.73468503204818,24.669709646813445,21.624301139718845,19.160721516211094,21.183519447593355,22.077547195809878,26.140865089070374,24.348579568589443,22.672837991141225,25.635937090175897,23.575959676201304,21.002580611688806,20.280178300376754,20.946147687964714,18.037650718288223,20.898477352805223,19.305652483261845,24.336695739236905,23.525402251586126,22.928890984622804,23.979320831532522,21.585604548133073,23.624148847795958,23.151295050722382,24.67485172009713,24.337818081099346,25.85104206815765,25.06580960676055,29.397858363932766,30.772795026894716,28.813886367362787,32.095621362449535,33.82587350991358,32.33953013651993,28.363335300217756,28.865713858962174,25.999365347705798,29.02419244782791,29.654548046870055,29.864694049713517,30.515979405147792,28.1822215287057,33.549595507163694,33.617873662076924,34.73417382971218,33.780634667398786,30.767547929638567,35.47391378702366,37.89476634562022,35.003977108183285,36.81120942222789,34.9004128140576,39.81931091752052,38.87212507170919,40.00951354049562,40.5581149668419,39.0380491348826,38.521021456445894,36.592380046899756,36.96793443165505,37.48117991870721,32.93936035587132,34.51773039095227,32.52440966657301,30.610324789552084,34.10618998052252,32.26698918452452,28.366725519269195,30.240894098073007,32.92942699178659,28.7071630863351,26.232689033976193,30.7069030637808,32.09734461530682,26.447230237357186,27.96469860705821,31.05488100057769,27.95676500419857,25.375190597927308,29.773608109414695,29.50965751282091,34.71053861623177,34.70149360173689,34.55878214249793,37.68928248231321,42.159446433857035,46.09280760548338,47.148510051936505,46.80013876998493,45.283519429369626,47.221691283687996,44.138417548498694,48.09992320712555,47.71154653201443,41.45015693004825,43.407626095419815,47.07405580910237,43.36925533196664,40.60632920752383,43.30409739733105,44.04529295031901,40.02203899652085,38.174462710772296,35.54194438350298,36.665322503073625,39.9494537666299,39.47799133733052,40.69461730416168,43.18639661365628,39.85608765089647,36.8814285132106,38.91422245908867,38.34635309693517,33.60472746800792,34.07208627167249,35.91817182238138,33.59032446492603,31.48704610128741,36.39989260094766,36.35060674069537,32.089824580553504,34.39182227402282,38.35709135607799,37.603456587538155,40.084238684550215,38.69181212800069,42.533383337785104,41.588625939984055,36.067380470635385,39.21892390195628,41.26202319606317,38.27688150265055,36.34240371673403,42.26114009824736,41.48549633641071,36.28797084182827,38.083498795946966,43.07494439208621,41.53249925764045,37.57498970933403,33.054198779601144,37.11048935759149,33.35892251812823,34.35619375788816,28.850619217942548,28.326809396759444,24.07137978585162,23.980969824491567,25.058579312927982,28.008423705621713,27.653607271742384,29.281036312943552,24.653514360731446,27.097342464282193,22.480976403897312,23.16642121105712,24.76488457751124,27.168958718820047,24.152158132878753,21.30826533606455,24.196903988386026,23.906722535194685,18.823891855826652,18.92656570215999,23.387682224503656,24.653292765603574,25.693644060426905,26.816980541311462,28.466356416295692],[22.750192286876324,21.992112347031288,22.02175484112637,16.700518744126022,18.859887134025676,17.202820543723064,16.23116712920866,19.511448204519155,16.227080138591816,14.981185716236386,16.632760660109902,20.60032576619145,19.531119745235724,15.70193461171298,20.539236511207132,22.79535329136364,20.579050939978867,23.882941639926074,24.903254965131868,28.444800201659483,30.86766233382078,35.04446605129021,35.02977849443551,34.293205231948065,32.07221040011632,27.84310689998656,26.97185828913179,23.429720905115666,24.79820723944247,25.644783207910795,27.27072979687097,28.624217680748412,31.729568051114025,34.58751152226803,32.74083116384239,30.325349369606492,30.78340382325653,30.286674396466225,30.292617168345863,36.30246536124407,33.27999124107342,32.68292122508323,37.15541843203165,37.036089164517925,38.432516892524205,38.46862265989699,42.27213585570757,41.469407752075824,38.690503186078296,43.03212356850108,44.22585149222313,44.46986330955362,45.52654182873114,40.03808821011874,43.990790213457444,46.86180194838263,42.757011004777084,41.54531956720767,46.21771062157948,46.36286908082477,41.41181681656094,42.52710214837638,40.56146425493252,41.206904441041004,39.2198969797712,36.18498771799204,32.05227972498394,29.58803908157432,25.889402790466765,23.88849472781401,22.371297657082604,24.0699233958283,26.702925278081207,30.087605284260736,30.53442397439684,36.87010074860951,36.29059110254845,39.534798858721196,39.04962547121432,40.41428838629003,39.45110484178846,39.23556246675673,37.80920158638315,39.12361144794607,36.03798293439227,33.96010437080294,34.578484241781574,35.87188370162942,34.13792543436008,37.24985685456426,34.042712298568425,36.1603206656017,33.04236121826859,31.84564819079121,27.344596408904604,27.38720609235383,23.219177956228684,27.34153921111887,25.882731852480042,29.097819169609807,29.970777518047726,30.922166125962026,31.698241007591015,31.38073995527605,34.544976259213314,30.609912544043446,34.44508273661247,34.02243766025302,30.76469705669978,30.03658206240846,25.526258883200395,23.76881030748089,19.805002938057868,18.719821969255623,16.796311813926433,16.14201045104531,18.293556935423616,18.280635131336087,21.272413767390994,20.077439859068985,16.593031262073065,14.471929885904586,12.432376677473021,12.440257384598285,12.84572086018133,16.753564868665414,19.50958591658127,22.26448969252991,25.74091187258238,29.970355022503224,30.063755277701823,34.52133696384408,34.45097224220165,35.0281930651084,30.64728936866783,26.70898019470689,25.11505839883278,21.772354383648057,18.751944989977982,20.985326633386656,20.71165999821094,24.766235663345014,23.56510246168475,22.405610825272998,25.691203072010644,24.38287402887623,21.835141127375202,22.029764412375105,23.170737303596738,20.949110305789315,24.206469497956945,23.23135881456034,28.36389565953038,27.986115430349138,27.216373864267858,27.90027978534125,25.125646680732952,26.979788001895493,25.991159591759548,27.180627434997128,25.88676506911488,27.21171803509015,25.505079613823646,30.05984169527928,30.85957558332392,28.252818492169403,31.846452579231407,33.01505123868325,31.782030680334525,27.800346371066905,28.83726196032228,26.13696577222484,29.643295510499122,30.74503182887058,31.359649297630988,32.57929094884777,30.370223111819424,35.90249199362675,35.35169073796049,36.6065535439019,34.94808835569739,32.431825188250045,36.708831804606135,38.774389426999946,35.66442958775514,37.300753827927146,35.21346152824006,39.885956964597874,38.45612868830419,39.80456279329743,40.27037833799372,39.14345033529451,38.590254160852375,36.851363114688255,37.444793809580304,37.980237575221274,33.51267267437709,35.53215415754908,33.712446417147746,32.360109074193375,35.987969885133765,34.663648487343174,30.618753094567513,32.1075250031989,35.218641859355195,31.312457882941914,28.15284014416165,32.79802988717073,34.85493812166218,29.098473632231915,30.242886744056545,33.60290844323781,30.92996471102642,27.890811307212285,31.991734127761767,31.356310054220792,36.91610679061541,36.008749041740636,36.271163383521504,39.68854888966649,43.9765039417157,48.00696915927776,48.97090702627894,48.95424482357343,47.353208060735916,49.37708877986928,46.38865054926729,50.06599342407599,49.49005054079458,43.21590437732176,45.170981310394275,48.46915286630332,44.59822639817,41.888505997959165,44.421908889476406,44.76016344880969,40.75877759683683,38.886399809599695,36.747331517575525,38.25658697679463,41.74863484447957,41.6799958078591,43.18181340158028,45.99793534034331,42.758818410414335,39.49549191828145,41.80470117685575,41.58758379617463,36.76338243926688,37.04412616899394,39.26280245093616,37.130598373590246,34.72600015436185,39.581818743482536,39.82533070859923,35.582989251610634,37.47568366685069,41.42999905825049,40.381840369946225,42.86606814502967,41.40604329620159,45.01771463399376,44.00010647734768,38.37136902275616,41.35343559554092,43.158363020409354,40.10720397030131,37.96271863136485,43.73661331289826,42.728996792219185,37.4231219590431,39.07651232174521,43.96290245656407,42.216537704442466,38.16896498215706,33.6827714089661,37.305084899139395,33.44570477581145,35.038339251324395,29.59085687781304,29.647953095917316,25.780484551539136,24.829607720858306,25.782275464131626,28.277370869307294,28.067846613434096,30.340471780661446,26.016516639512588,28.608638025641042,24.14082034976959,25.57295166654892,27.695474426692417,30.361688322459806,27.77821759809833,24.52308046743064,27.50279654618406,27.724361299536813,22.609091520808533,22.23182211147719,26.813225516614438,28.44625754803816,29.617043904594464,30.772562442073124,32.42964634046179],[26.39174178123607,25.48243052383902,24.90601151459919,19.81832253464635,20.718553526975736,18.868063309123766,16.767143607224472,19.374937681592556,15.670273297909958,13.09163337024277,14.144627920271775,18.43815818514648,16.724858738613296,12.339759612747573,16.76106484432859,19.15968787658671,16.756669909555075,19.55003381801611,20.333784878077147,24.13095033326696,26.38077432252383,30.713745180222094,30.627586222517397,30.124535422239557,28.043188885245048,23.68897394937609,23.136684044331837,19.62758122681148,20.916403577929024,22.126783482492993,23.11348451841273,25.16175787024969,28.117037555203204,30.570076527301605,28.871811885894502,26.284430059160428,27.29733184760674,26.57731417770162,26.86505496126998,33.06635920472604,29.916473824498105,28.762583142440203,33.2417860719831,33.34569536399941,34.649000815494624,34.996921754598105,38.70468286193854,37.84227994070445,35.493158404212075,39.99292786284023,40.924642677182206,41.3037474830601,42.12377990091893,36.66317685329426,40.45407953746841,43.093780473650405,38.879551319961905,37.55935467566491,42.13345888336831,42.248320931599686,37.13492239487774,38.0042090553257,36.00473479117256,36.47066658108786,34.65347897188928,31.720902838017167,27.321997364371466,24.92785396143741,21.031917775776574,19.098100477318326,17.43197918198527,19.103767885310123,21.808632456074967,25.137879233145362,25.791876454352398,32.09991964164336,31.696934342268705,35.03125153738434,34.72757889968907,36.230475097262655,35.63983451925146,35.72018055948607,34.670384286371956,36.244823668732366,33.13478872431917,30.734139758939616,30.822553625994882,32.197824928528,29.963711347075893,33.06598125940113,29.633786503909114,31.584065390093738,28.61731972530941,27.743213538657457,23.41984557888878,23.544143803463136,19.56529799222516,24.060510198388034,23.16216555350176,27.103001871268017,27.319202102054035,29.133895082613055,29.29715947238277,29.832014396862963,33.004211446143294,29.67784532725925,33.88785102594083,33.840015002999756,31.089150687968722,29.92244268564929,25.784692406111073,23.174691681057613,19.148990229067028,17.516812465673294,14.422415475944822,13.664552586306684,14.843881850666074,14.982087552109993,16.98394383548841,15.698576721025907,12.203139856964697,10.545053215891192,9.498456779893186,10.56694253389323,12.147268419165252,16.35341321040744,20.099150152339146,22.26587214014784,25.903487667698027,29.536754076992924,30.371636002666843,34.66801047513585,34.189033702618744,34.305665964541184,30.103484556405977,25.91617196745211,25.301357983776438,21.31867335068124,17.993603905381992,19.355039444968433,18.71580112774643,22.154140881710674,20.37403585674162,19.603714001877364,22.654000076293745,21.167160544300632,19.046402862096407,19.52234209481187,21.34019603384703,19.529837519252258,23.41768668598015,22.44024762856563,27.637992306527412,27.655781845150106,26.04392125700612,26.384354430202812,23.244846673328468,25.49253217603692,23.71366989351039,25.606971604129118,24.029404810844245,24.472976125833345,23.117757910162297,27.37180520945961,28.756700495361045,26.598380088635814,30.567008817112846,31.968614080811832,31.284806803392755,27.189473805975226,28.07766225323339,24.924060964675895,27.90017328215938,28.73220957978693,29.0127034197116,30.376091305983444,27.70694527261598,33.35540149647248,32.71766522028861,34.36743975576388,32.81613927763652,30.912306597453437,35.323296444971476,37.39554961393899,34.186009798242615,35.087095489018395,32.54248707909512,37.27928979878253,36.035772454538055,37.80736622471841,38.64480172910932,37.68459745300434,37.66828847611929,36.28894546107668,37.23035292644145,38.27318957163361,34.069720272849324,36.30262328674353,35.02276603027723,33.38898495725402,37.46278954919781,35.94108599485856,31.95391246294431,34.08377784824449,37.20433701158025,33.286038526064495,30.69791240520061,35.4278916129309,37.22368929048778,31.808200606152177,33.34718311215041,36.685244644833524,33.8484712664637,31.278935896085393,35.60996869240215,34.94257049699468,40.376273968539564,39.570350031109875,39.44706352788088,42.843265017296865,46.95546445267626,51.172112344440585,51.850283656061,51.438584042855695,49.54878113235823,51.24649823810877,47.906431248183935,51.53710723844601,51.37148783223448,45.03031121184722,46.55494276968962,50.049924739828896,46.468008606244105,43.44721987088004,45.63509880460765,46.48917377500321,42.69771374438848,40.11934438376175,38.35719913899762,39.137676220709345,42.72400340302675,42.93920831157648,44.04389733099623,46.99131683874475,43.3521499904772,40.39774664331862,43.13765980677747,42.57149606033909,37.76180816233754,38.63153111044659,40.87739247563853,38.714483975505274,36.708609704687596,41.71355412930222,41.94119200276224,37.9162397981748,40.11329685434227,44.03472532678588,43.01632804171679,45.18894778079275,43.38253364826921,47.06875037314374,46.522391045682,40.845212568752345,43.483569486632256,45.681636730802275,42.842335939564734,40.333828588987274,46.11573900218562,45.6032021347013,40.252803464291205,41.45241911556309,46.55855806424889,45.21025002674186,41.176064508303526,36.86770094379276,40.71055689858258,37.11849661510067,38.7877846123815,33.32646282950089,32.961990841470694,29.120584176801735,28.55475785234873,29.108510869883553,31.537850108306472,30.835179646158878,32.826681075567194,28.034617501016392,29.99863040950022,25.272092090280683,27.28720109950547,28.77279773523568,31.665221250707134,28.622835820443417,25.934240775271867,29.480205760571366,29.366147934799216,23.938106274570345,24.61804344207241,29.32634661503257,30.82407464193892,31.870058262031623,32.87879760002514,34.50690587486321],[30.2809698759403,29.507294217329008,29.224105010877278,23.878807179850075,25.173529692377354,23.812010175476704,21.9339032987242,24.67571883809425,20.94588537813643,18.247463965982536,18.966432104741546,23.2842966967759,21.430529803440923,16.831084600247543,20.639077352515834,23.173145786321786,20.504155571861197,22.45003745732194,22.127477273281805,26.381682934270227,27.874996288859357,32.287597436918,31.584055795099356,30.824089913125402,29.409441881076997,25.136476082368148,25.420732671630685,22.48138494597875,24.23317831688729,26.061813761897767,26.379078798684308,29.213963737631307,31.936134259558408,33.89581273339671,32.40233694111576,29.522111375856955,31.134786640469034,29.74835647269191,29.950482606765874,36.090077177457886,32.33725008045435,30.969773329680613,35.41628482336655,35.225377358872635,35.92887691816795,36.06426319035231,39.726877709765446,39.44850155759551,37.2552278372747,41.81711841027389,43.07184065950247,43.78377563206441,44.667082607687774,39.327064973769986,43.37173155294227,45.50132301494908,41.012174452634504,40.08509059883837,44.4955522367269,44.08072499115686,38.91643403619122,39.731554200578785,37.996138065792245,37.741367867255896,36.02274392356182,33.65093743274733,28.70679782496856,26.944952107834798,22.41837956675931,21.076096237009004,18.72575851938878,19.55551684958776,23.097004355800518,26.11934902624558,27.743801296079095,33.83425432775769,33.84291123325858,37.44213219619237,37.38941535879468,38.88646468491353,38.87682094040206,39.00875901457196,38.53200500216913,39.99849386122006,36.679818278989096,34.37512019013619,33.93099732025741,35.72317021517892,32.84278893015519,36.100434724227036,32.336705040074094,33.84068264232418,31.184693683708087,30.83610288987876,26.87217826659662,26.78203951999996,23.17252996420229,28.15088425300529,27.69954428233023,31.91585865817193,31.941613011153425,34.14533101142733,33.9794892386614,34.793653228573014,37.728949014844105,34.51166047986925,38.74639898099901,38.513659728708774,35.84183707173074,34.89181347891444,30.773607583917414,28.039137646548507,24.21692208934099,22.18890898688443,19.006547212019306,17.606540588187094,18.168771222782983,17.327911886357956,18.4028804698151,18.225388323905776,14.738816203003214,14.238308088671616,13.024544173682989,14.976331086588036,17.093029129994253,20.794409459679223,24.94080480365853,26.857218699132147,30.45628757769122,34.052865102669905,34.55998210141489,38.94831720295379,38.13600498473035,38.562968027828866,34.026960648861134,29.99640643420571,29.07041186028917,24.949384908251837,21.281116143622054,22.613029017530085,20.71897426093675,23.722099681671214,22.446768861084124,22.43569732401453,25.550919664165058,24.661826322840085,22.824792017037005,23.929974749969723,26.088349796038475,24.62335446651204,28.633261811895586,27.706882557264652,32.88984281996713,32.77931632910337,31.064663050756298,31.465195176723125,28.26709399238412,30.598022084795208,28.514002925117314,30.444607909175595,28.361471275373933,28.428084326202192,26.567741647207495,30.771540362440795,31.827410757607563,29.24459452050351,33.49499786143254,34.36829293088151,34.036450953191384,30.017114713517486,31.343134714670317,28.34417005812383,31.5295276316785,32.628152842116364,33.07926141600471,34.7879612868589,32.06668657491603,37.74858446855247,36.76754931746242,38.60738841326728,36.65966115625071,35.25196109638344,39.347429565055606,41.13599929913006,37.78147478547834,38.34358004268711,35.53866442549666,39.99239219214185,38.35925552519942,40.453772180573615,41.30642348668231,40.762589934007046,40.81760172370155,39.66958638343575,40.80709729254038,41.878242300925315,37.78230553948949,40.30449414740275,39.110342344615326,37.855287450807865,41.927188803394486,40.696396123954756,36.647133967310005,38.462884582796825,41.775520439819225,37.99473804841413,34.965268462750664,39.731279666996414,41.86547126036243,36.286550409619146,37.533682272372864,40.96305578534616,38.29319651324187,35.36583421727479,39.474332487526624,38.71328771182478,44.339150367812344,43.092838121492136,43.35778626608201,46.887477072542794,50.97969360754302,55.151287588919296,55.903219415676574,55.79026431955599,53.939734984266245,55.749686780625076,52.526374693739285,56.00212814331708,55.66460592457635,49.3453560228349,50.92780539307943,54.1560594916828,50.43581471793848,47.51046767640085,49.61317874362614,50.11655187864048,46.33577357785184,43.842585995628376,42.394247751409395,43.487389582388296,47.17397454773541,47.58345656188025,48.86737871782072,51.94217271800117,48.37656472956221,45.28369729625,48.07823767482955,47.67825244821037,42.84607912480926,43.55599625855291,45.89625853845605,43.77217942083287,41.60028607708107,46.5494569055466,46.825677433005204,42.702265598811586,44.727331009175764,48.66531178137065,47.565295673272985,49.85395989141244,48.12438894315995,51.69602849351693,50.98366400586254,45.28304516270888,47.93503189753525,49.903066014419956,46.96989133774476,44.46357084860824,50.13776701269631,49.345637715235505,43.967379948232626,45.19086293045696,50.14239629328435,48.5476744263211,44.470067720908695,40.15662708781298,43.5718276360362,39.81989592585867,41.84899424757263,36.477654331702134,36.64061001913625,32.98700000153234,31.814923430460812,32.4750430783252,34.607831663109444,34.170632487107305,36.63910225777441,32.17241495003462,34.313437358144384,29.747774789174038,31.988612620717216,33.77746862116598,36.708450728228456,33.82239942731675,30.94715497047755,34.367115903543,34.393062035548354,29.043795771033086,29.34227263383991,34.00676071848314,35.52720267531342,36.569069525947,37.57351674519747,39.140868351353035],[34.147430665125455,33.05743276775858,32.03745300199993,26.937420971618163,26.983645117500284,25.827591915458544,23.072981362889468,25.244415078710706,21.63988970885219,17.890980938220086,18.177175997860346,22.42682698383074,19.62811676314495,15.122602112988245,17.95024395027935,20.236126529908866,17.16868978569275,18.098796418737294,16.96908339730358,21.43340057697751,22.479511506380348,26.950012811657047,26.03840782215812,25.437924902382452,24.28633532365812,20.042889339388147,20.874644403829805,18.357282484193238,20.247048957176442,22.708396936223423,22.49434183583402,26.07193895199662,28.676935683909313,29.939305365984307,28.469194765578017,25.272323921142583,27.507750210488087,25.5391690186523,25.902468245933918,32.00434213864872,28.0361849581313,26.154586115661775,30.50560864990684,30.42688814848903,30.92909393698968,31.3408035872369,34.8532743093272,34.59430749157529,32.865905463409014,37.524194944030405,38.56640971918706,39.45772964005735,40.13449754096139,34.937074351649244,38.874752778407114,40.63186082126119,36.03494914506415,35.18055671698763,39.42067590932571,38.81753347205741,33.590353176772325,34.281109027392375,32.6927495824898,32.124527337206914,30.460032712033964,28.354904167980568,23.193807560880572,21.816782524080224,17.06811492096213,16.351720432894933,13.67215207778759,14.51616484719066,18.20602686736335,20.723866116303395,22.78072058976652,28.698779504480502,28.71726087604752,32.53151689452912,32.535857333332004,33.98666870673124,34.470085111158355,34.768712542119665,34.88729472223785,36.4277889025992,33.065855169386516,30.623795545307065,29.548834102452027,31.644356697436027,28.1928431893383,31.653573575569276,27.76194031980733,29.176010646178465,26.92492579452168,27.12895286610612,23.575580028347364,23.8539711363103,20.724150872170913,25.664838681154276,25.866944516012193,30.72944284228933,29.733710937168336,32.67532629725788,31.64725963631171,33.25736027931761,35.90010061442277,33.371168220876775,37.849946944549096,37.884437752335835,35.836182334367585,34.604327108351455,31.00796733656575,27.492778740478954,23.984638562391712,21.35574849858398,17.436242153006937,15.7369279860434,14.98062000040855,13.948527213156906,13.463305906239684,13.791601454040705,10.676723519075319,11.52566910330452,11.392234939105933,14.344493429342561,17.4094200367996,20.710824570894008,25.677711073139267,26.79962601065489,30.378035416252704,33.235653203426196,34.36246632266582,38.494243489446966,37.183039652345684,37.22360014567737,32.90125700641274,28.826264680509592,28.84509155710457,24.266666829137012,20.488242513490835,20.80129754976218,18.39272257705098,20.390705920577563,18.64398241184026,19.280178536507627,21.978305513328284,21.224174145970302,20.032347261757234,21.675509216732614,24.486456505479964,23.780412244106188,28.233922995427697,27.651799123044597,32.70304284610784,33.27630685969287,30.82121938644982,30.62054558975989,27.06237793427755,29.489440190605553,26.58134612619363,28.908628248829935,26.34532818133465,25.439821417238534,23.774176909470626,27.47688350593925,28.968828245430718,26.875399962049585,31.40737329138026,32.42786059996008,32.739376244159935,28.75918783257578,29.942460332429526,26.640743087858628,29.201121524916307,30.088237473508272,30.296293080805995,32.27316008352377,29.27704317736381,34.90105734000511,33.62680874851169,35.84626777417549,33.85453262109257,33.27216260316846,37.24955919917118,38.912058781564745,35.50030007123289,35.22542383058169,31.9742152322472,36.327103959378974,34.83219654035455,37.375244456592114,38.60381308703318,38.31387005629501,38.93919177825652,38.24007463365393,39.755797144771755,41.3509577220736,37.64844490282544,40.40262482132154,39.83809018661089,38.42084378744335,42.904905062161404,41.608490066507095,37.67074745893297,40.03705177628023,43.39948369490382,39.74981055898657,37.22729574564882,42.05171882988473,44.044539021283896,38.89048544288833,40.47453465131284,43.92713557351807,41.23465995752875,38.74862660468416,43.031312834481604,42.127566613931286,47.65414254635981,46.33263720554263,46.1959005672895,49.73795853735304,53.542610118235054,57.94356358711329,58.31228311372273,57.805177263801625,55.60828717834612,57.049524594982316,53.48625255997722,56.8061247340205,56.89397928046458,50.5621620401433,51.64788130312309,54.98691316556756,51.60490321835269,48.377171109432076,50.039275401895644,51.05674534990272,47.563544456313885,44.323445953787214,43.3844605874096,43.74196916699742,47.510335451066446,48.3108796730956,49.22308402807205,52.49503459014028,48.581613570131346,45.77275151869022,49.07228989639123,48.42631699574056,43.657134238200506,44.91637061981812,47.391272508619736,45.344681620620264,43.51631838716945,48.55659692588366,48.940861577842846,45.123932557539696,47.31262605206831,51.17655776779954,50.007364135830336,51.90775989664522,49.774886204061495,53.32745076517319,53.14958848979353,47.414087085464146,49.60380255409276,51.94961531405879,49.27631318433495,46.33506842132589,51.93054882918676,51.68764164138099,46.289157338490774,46.958403026310535,52.098613619498835,50.964157960963306,46.93043037903861,42.87453722997542,46.490253522718234,43.0950458264834,45.2503922027159,39.90334844858497,39.636050554765745,36.12600325844332,35.285336187849786,35.45937102915351,37.4497436601754,36.47530190020993,38.662831295444875,33.838945997012694,35.29842644530011,30.648572997247957,33.56057734416491,34.80313921946749,37.9704884842162,34.86519665324748,32.48666851313454,36.4264370319614,36.31884988528233,30.773896130442893,31.928223031426114,36.70949692709649,38.28102059129466,39.2723482554742,40.143254146109676,41.71011656455932],[32.76936366916541,32.11711278442136,31.599433040803422,26.710251275539733,27.228943159043347,24.949393815741807,22.32015356631743,23.99035028778783,19.79332444699416,16.43907032127127,15.987774637781571,20.133034173840297,18.482370962508227,13.614462419372066,16.19796830112585,19.05243220528699,17.046098540595594,18.28343083910992,18.306728025190452,22.73153113632578,24.22040440455706,28.859508836213916,28.34071150791364,28.27617171945094,26.90132647439479,22.490799349329535,22.97007040976105,19.895408378027483,20.825367813654093,22.50556984112702,21.486259384790415,25.008474003749757,27.155673841536853,28.845556095885712,27.90444211883133,25.286678988135197,27.47675321419587,26.569129372950684,27.451686802193976,33.76039656806431,30.37779677894737,28.118945831873862,32.454380213636526,32.925187303636136,33.77818984083644,34.587728521089666,38.01473140355424,37.32751999545572,35.84811755896309,40.52636386808805,41.11928723343236,41.81415489253078,42.21526177715964,36.95259844936283,40.356068998267595,42.424985959872835,38.018386054490755,36.532505632713686,40.757384153776876,40.724748900926336,35.3082893791382,35.451811171567215,33.35324692071332,33.15587409677371,31.97916368460212,29.52945587461485,24.27695131669823,22.229362274830947,17.635386024858857,15.767661107568143,13.457459067493357,13.877121059129534,17.34004469638327,20.78640892343946,22.379762591027333,28.35138582415323,28.92275697080081,32.26791011388266,32.699283057036816,34.672254759398896,34.953049201232126,35.76090723245079,35.37239088065882,37.46207162537728,34.43733479551469,31.494756730505912,30.514580658092044,31.84534364025541,28.564951807123627,31.202498784762,27.16950842409289,28.203406330866876,25.531306358430566,25.365538273825603,21.734850891344745,21.333715228776043,18.143667441237696,23.567102944072378,23.7759048588182,28.43554400756786,28.27931235839647,31.43555382716557,31.0453071783177,32.831055090548375,36.14340061379442,33.66530283594033,38.166197914078616,38.58709552004515,36.33317825921714,34.69454355971774,30.99519347486178,27.786968133929367,23.787410618101255,21.919097580910663,17.70622738516209,17.016005123892494,16.421765817377707,16.555644508133923,15.90552879454377,14.851599370485273,11.91082048056273,11.922802021299566,12.944075519064684,15.151241603789705,17.46926894694022,21.641208059952245,25.836618381967995,27.550914790254254,31.20082159707002,34.18133309599849,35.70363198269735,39.7685021877853,38.906178541940754,38.547262066899705,34.63747836990817,30.343897770148352,30.628901005869285,26.21498872365353,22.71407014204369,23.08387280678333,21.630165138652114,23.83675645919061,21.509791483630476,21.667676258142382,24.148762624268368,22.52208285848199,21.31679706302193,22.076929336732015,24.617792270559328,23.178071335251058,27.418012208823598,26.010105168390847,30.987610970303223,30.821550942172763,28.341912311039692,28.740049736903224,25.560013998701127,28.49241064509881,25.91718116549626,28.921791115602602,27.266593182725362,26.403155586980372,25.67866796170749,29.256027276777722,31.368587835533223,29.744077934671726,34.09912679918273,35.54962704246699,35.57580710947393,31.509540380871552,32.34010258469761,28.854796900091728,31.116799876073074,31.575862399348427,31.335913592576144,32.759374378621544,29.403822193894847,34.99208834816247,34.41362807643801,36.615256953291166,35.34507580780717,34.295979687969165,38.77482392398264,40.79520183464674,37.525001677297425,37.38375382823324,34.19316247593399,38.83356737438329,37.77462511009151,40.18828750584114,41.48998655158315,40.866460179672025,41.490035420447555,40.577028256217645,41.88830273311256,43.39681367744918,39.50586730930208,41.90755336400754,41.0490043150743,39.2079995810008,43.5286818086924,41.79598070924203,37.92711888974683,40.480176449672065,43.500847977477605,39.51972694433233,37.36719419869741,42.067275840348984,43.544456909189165,38.30972349768885,40.0600179235164,43.27601597383063,40.20233228546668,37.89706360237065,42.33876440035002,41.82119849364325,47.12427481950318,46.563180057365926,46.313363214350645,49.63040195649595,53.73168490304627,57.963830436254476,58.57924202763498,57.938941108258064,55.93569219070365,57.42193709502238,53.85539758638928,57.48101527305946,57.61608698001865,51.26962843650379,52.49687585462769,56.132276678981405,52.76678615127885,49.56220239705904,51.48524133327234,52.67865560658821,49.04974305441767,46.01340491200062,44.55032111035191,44.78389264711242,48.38804605145154,48.755744763294054,49.483732181053114,52.410153633023896,48.44741421589957,45.87020856161985,48.806464919512685,47.84174119044765,43.138104735608685,44.47076006893512,46.52404114612612,44.23996740750137,42.639433596144805,47.700538038783186,47.72142137897191,43.77466141534873,46.326345066584864,50.22627618444017,49.385338830078965,51.43683812406108,49.50498702987443,53.28650840279874,52.98549675954716,47.345455250373384,49.852355138913694,52.27710001484197,49.54574692148915,46.92164083905389,52.69496050559443,52.41949949736102,47.07379669501501,48.067020444805046,53.256275358733056,52.07448955605031,48.05220740186851,43.81492988835482,47.66735010740712,44.12209059207348,45.837704852179534,40.37881785875965,39.92480417453133,36.02719467601308,35.59838163131518,36.110659869347764,38.50053713249397,37.65573870008132,39.544077360873594,34.5616700165882,36.13204126805692,31.309257012066464,33.51123607503157,34.43241448144529,37.315672675851246,33.77965213535435,31.727464746962504,35.448446102909195,34.834469724121625,29.40074766143094,30.77891446114721,35.3568559606863,36.45495529307824,37.28408128608923,38.1135078683159,39.59091587790127],[30.091589948358273,29.760507513938126,29.882155182937908,24.867685973190998,26.360009523946406,23.81584014974729,21.889365572596738,23.932786603235986,19.614942594539894,17.17640282447927,17.033072694945037,21.150708809196306,20.311452210491556,15.476543461917256,18.754192245327683,21.73150603994556,20.01020229600313,21.9370173372819,22.401010948583117,26.68366033814079,28.423883994629623,33.02225568446781,32.5914344332212,32.3706735757894,30.85144424989717,26.426007505115468,26.58478104436246,23.27368463376763,24.176668158387805,25.427974379569182,24.823202470537414,27.759518331408543,29.962247460124644,32.15170564844539,31.204320622062262,28.81964994585027,30.55653646120657,30.03021160423804,30.77482321406369,37.10206891795897,33.83400940809017,31.935689939734612,36.33990990670283,36.70667911116954,37.666944855196924,38.270803512216226,41.81205332304595,41.14227680460572,39.33613473631934,43.95975689807249,44.720117691153774,45.30115348264857,45.847768089610966,40.49132907819316,43.98335952335768,46.29394315655904,41.95258196633749,40.44148403065947,44.776873776267614,44.85067949118221,39.48205188030529,39.728417747982164,37.55191401098368,37.536213616410166,36.311625390656275,33.70983253786207,28.605464279037584,26.364309468520187,21.933773915461696,19.775964216123285,17.698815792538756,18.1032688190239,21.433127699260048,25.11005605880022,26.43880133475839,32.465440892953175,33.02880416904472,36.21737954100407,36.60775722008742,38.59785604394082,38.544443122674934,39.225722335110646,38.426892599634066,40.45266827867873,37.45980877299295,34.63029124727232,34.087704984711294,35.221034089956824,32.347438549094306,34.84293260659109,30.926590392999508,32.00605028374135,29.077928426880746,28.514136591307466,24.63555602988688,23.940486155241306,20.44925813572611,25.820190681175223,25.524020908117574,29.620685138352997,30.295252537145455,32.884383904959634,33.16254050996632,34.358105588775864,37.897595052911115,34.92431401232767,39.23405640879158,39.47452323793651,36.76385291454806,35.316763903281654,31.242980932128493,28.63993687626295,24.412174242697855,23.023411363460564,19.374836395880617,18.877610599907413,19.176587463833545,19.322895610633104,19.696621527637884,18.499216723764103,15.290290041442725,14.481054257827118,14.666388189924627,16.18735667584073,17.773142653077183,22.226523655464305,25.756156974622606,28.070424403429676,31.72005510984298,35.225627542714875,36.31212118117407,40.5482102685502,40.055479754041144,39.96444646068573,35.917264268230014,31.661938414432072,31.286356478695577,27.213226513480112,23.79954974771433,24.85009137789019,23.68604613372574,26.540819539940873,24.55866912205988,24.328761579615982,27.111506377629002,25.443001560855812,23.793986352022483,24.196895126289938,26.250941291297213,24.242638936378512,28.107185626662826,26.386303358398436,31.429246758709763,30.65483754560063,28.77330171681377,29.690157691231505,26.836139429946552,29.69966426783008,27.772168515829257,30.481402482795275,29.188355521551614,29.013771513417293,28.125837685970808,32.051591490812555,33.843764840124535,31.87181381277381,36.04209270015262,37.3813347680158,36.9715547529005,32.88239054214006,33.81382523754139,30.545367264311523,33.24171597611186,33.85390188648315,33.7896444737818,35.01987640100658,31.87389347696046,37.48105873829091,37.11373365810173,39.040292439550456,37.80147515090499,36.17341772974766,40.7325072064492,42.84087012717737,39.61171180772991,40.04854204958906,37.16130675890009,41.86784485666851,40.68110753839329,42.80583229336346,43.8531504626167,43.0607952655912,43.290750912631886,42.066171528431916,43.11067661192088,44.24599117590628,40.07652203195535,42.29504224596502,40.972137598697564,39.23060204288066,43.226890249001215,41.51624238299509,37.58205651159211,39.73416030996579,42.679943822488035,38.581848703759654,36.094217829877046,40.72075771432502,42.24775474533457,36.695240956418594,38.20320848704599,41.36385128602664,38.2666428580571,35.65112927482124,39.96598859856543,39.61148133853148,44.94958348928931,44.53120558995425,44.574391215427326,47.85096669498306,52.190129450108124,56.21561021451785,57.15017837659312,56.79914136159425,55.0730904601721,56.836023509237435,53.527126335971744,57.28491614338841,57.10575967296599,50.77897668030303,52.379811771949306,55.94448492906886,52.33781555020477,49.36171585957309,51.61150977099969,52.439911631857726,48.60390334958286,46.12540285012925,44.27060033052265,45.03197234481664,48.5624409645827,48.613856093500424,49.60275016296547,52.35404751599346,48.653607792118976,45.88510682359242,48.412528532949814,47.608629548761265,42.87574435069702,43.79688924700829,45.70313995221103,43.34089766191497,41.50523449521947,46.48834393267708,46.38657101136625,42.19164155447919,44.658596969727306,48.61387030909318,47.863287958387595,50.222320549276574,48.61721955433906,52.42678676723198,51.71332608354423,46.119294885421354,48.995266793342594,51.139270368539485,48.21380500529933,45.94751814114366,51.778735710116216,51.09332961284901,45.78092760438118,47.20509464256981,52.245270122631425,50.72149414104259,46.67928518823559,42.252390560517384,45.960497456679654,42.15223068037261,43.72261753474027,38.25598890449174,38.10820758438409,34.07601256760146,33.44986537630852,34.35984665382989,36.878857883751124,36.44322089101574,38.50488490609645,33.791290053976404,35.862787892234074,31.110251254694916,32.74900436562808,34.05076008953656,36.718316897349666,33.322149614046914,30.940539752708528,34.218006635087576,33.64922928026296,28.408994906023924,29.14545283731892,33.586879034932295,34.57784051134322,35.426824993644665,36.339589159886216,37.79755181705486],[26.287820468248366,26.138527991496556,26.51164444053441,21.752247809347693,23.563738841856487,20.36545477600338,18.756254986578462,20.68461337827872,16.266022975103834,14.599169493572743,14.565652431389037,18.49056992405218,18.435091702337328,13.876958843915546,17.60689762519639,20.581263325154403,19.388283870226726,22.065782058708397,23.47393349698198,27.373602150254527,29.68930482108793,34.20767923075858,34.22294916169922,34.14073988176309,32.158012331817126,27.703690752863324,27.222783483359496,23.490609175339827,23.95800596471351,24.519686546340907,24.376938884842254,26.517705489790966,28.791160336506444,31.556590500175925,30.556238512979498,28.559755019771313,29.713438953771742,29.90646059752239,30.707873059577956,37.033852000837506,34.2735090973475,32.61852464423288,37.03355299392629,37.590316674378315,38.98355590512527,39.66361368927119,43.25644535289002,42.20254268170065,40.20247736976923,44.7433633586008,45.32608286067414,45.63218194572358,46.16830278274066,40.72466828789819,44.012880127894654,46.76369017873409,42.66136957669021,40.837990796721996,45.297209568831164,45.80391447869855,40.49180816786931,40.76211787456425,38.3484150357391,38.90132337681405,37.639183466699436,34.60870001062792,29.926163934760055,27.173161498971947,23.257564487555594,20.543777586164236,19.049203373218845,19.95603264910592,22.62738583976746,26.629689803426743,27.175941770285487,33.326652970639394,33.66949889368423,36.555941296842256,36.81072281838937,38.85695859972483,38.2758562289609,38.931574471090265,37.5458118572076,39.67000858542418,36.892986546199,34.0128410952208,33.99039823087588,34.67290716016015,32.41875058021275,34.63698541606195,30.996675992605272,32.33726590172206,29.072383736058157,27.949648189489615,23.76303805187867,22.988980502676597,19.162482432406883,24.182976896078035,23.36983693663121,26.92725408657206,28.26322895666113,30.357767416371356,31.256256230555653,32.03446645144239,35.89784730201073,32.689372915889734,36.84422380548873,37.184388459175395,34.221127743154554,32.67132583861535,28.46753454326755,26.33514799781093,21.893597394968445,21.178553999992005,17.90537700874562,18.0793782790875,19.028794357160045,19.85620244674421,21.02999898798867,19.048154553761794,15.890627728701737,14.140783190306609,14.378781279626203,14.928307322791555,15.590570516929823,20.4142066310862,23.09885180726277,25.893607441567205,29.490785795578184,33.20454713684884,34.34733187260681,38.53114145685087,38.47753623177943,38.254319994812214,34.47197953802329,30.18570283689128,29.764173741038626,26.04426390875146,23.010295409530862,24.31616798353645,24.09683496380476,27.390480089893465,25.23145938898285,24.3917558845064,27.158915672344754,25.043258588371774,23.108374224655723,22.836754753055374,24.377157272242396,21.806914875168744,25.277515470399383,23.208024433867294,28.199475838049278,27.056356245502876,25.54928186308879,26.796397704209415,24.25900203699607,27.10098403579756,25.756309403395726,28.3996866135323,27.761460314272362,28.09625864523606,27.604380707465012,31.606168535230776,33.52197867243586,31.746759958131282,35.59672076334269,37.235255131985966,36.40998309303704,32.317636374630005,32.97375204026954,29.73894876089199,32.39513512942093,32.83683724948019,32.673344046613856,33.50628924512873,30.465183818667015,35.98085267255184,36.02582335255656,37.69563559736383,36.834391849140644,34.61405381629391,39.4160734989152,41.762044156726894,38.69221996062543,39.58598193844119,37.01569610898076,41.91338162675998,40.962711109919674,42.7429572586242,43.677010009218954,42.53060138852138,42.549113932306604,41.038852106099455,41.81032565775507,42.74161975490579,38.407531850903304,40.2887131929714,38.67362127723366,36.69609779660007,40.469638026211136,38.52982801221798,34.664316664535065,36.8306472998936,39.528458296929,35.26938465483797,32.99997777513591,37.49215315966685,38.719792891561966,33.152534643066794,34.745931985693865,37.75064833823127,34.48298410400012,32.002075791234624,36.39618488913156,36.254928044646526,41.409684732214615,41.47337962247218,41.39113306813105,44.50251861445833,48.98808958667066,52.898053394212866,53.968765463321155,53.543444902200775,51.960231163305416,53.7774540721847,50.53316025057926,54.47303083406077,54.26711086383907,47.97416900455105,49.72075346239219,53.44116956771516,49.83657173919558,46.932113885605396,49.404292884553094,50.30310849318264,46.377733184320405,44.152014838618825,41.866083294776814,42.646466000113726,46.022570546697914,45.73903223131507,46.69752998484585,49.213731449541285,45.60353760235582,42.89552342038153,45.11754827489157,44.23330868120867,39.54842026058868,40.38282970511112,42.06900213319333,39.61566592610509,37.82976836557201,42.78241929982556,42.52575291361042,38.27323178460282,40.864081800804726,44.821200072733035,44.226609494140476,46.66982404103834,45.21390326261862,49.12333329788091,48.30607220097204,42.80145272024087,45.874557506735755,48.03052647042296,45.083920868061284,43.05415329544094,48.96324978568893,48.262900816340256,43.03163426303541,44.680581174700336,49.715993693615616,48.19268390882534,44.2005671301754,39.69917064629962,43.60861022338601,39.78586053132162,40.9799842852052,35.484777347169164,35.12276091545583,30.882050965858156,30.62488877269904,31.711630245755142,34.51008231997693,34.132795091004354,35.90677944924769,31.164136597338967,33.34542913937654,28.585435543750858,29.64286797051668,30.845509728556607,33.29144357039623,29.811310542840594,27.495557454027843,30.542572821238963,29.79605175187745,24.696136374070445,25.398276109782937,29.701071674314907,30.52004675395919,31.327794949475987,32.25982283358073,33.72416508079166],[24.979827880990996,24.80487355481808,25.47669325258687,20.374336617729412,22.92858237006609,20.447426499204138,19.50586677854014,22.19915782978628,18.262937532430445,17.053423739330544,17.783504133334162,21.714203696033735,21.38265286768428,17.063807222853672,21.30376729130408,24.043099349570756,22.35340046596548,25.230984408920342,26.229304686501656,30.129201998325215,32.33311666483743,36.75281264020421,36.576984567497455,36.089082338003436,34.16513009699706,29.795758003401485,29.32427931240133,25.757586756729395,26.770992737474973,27.554486864842154,28.090540658253904,29.991917156673523,32.58064350197051,35.37738118476074,34.06585712683051,31.841814913199414,32.76443803116048,32.54530622915707,32.93941550890606,39.14280212573301,36.09441071411892,34.92733635961356,39.401451863849616,39.540348128045224,40.78034850693886,41.05390164979587,44.76840954507353,44.01514708166434,41.6191549429459,46.091233007435505,47.09908420702362,47.45071472645387,48.28284826994793,42.81102539022499,46.50791953999427,49.229811874210135,45.042101901909575,43.59646449201085,48.145111422360415,48.35472732236862,43.17615689488387,43.825125784087824,41.65825909015421,42.07072347759804,40.505533879221694,37.596858913054334,32.98092931428585,30.486623371445805,26.45330308125951,24.150014059899036,22.443304530329556,23.43730089409667,26.375533076974833,30.10041835189216,30.863696566990775,37.079553956755944,37.15627609648125,40.25716619433025,40.261591297608724,42.023637036024176,41.36360582532542,41.62124089307075,40.27298795472361,41.995498762101064,39.01892565377183,36.542909447797044,36.755998667952944,37.786253755119006,35.655006832458746,38.2861055474024,34.74232759679629,36.29552516471484,33.11333680569837,32.01961270815152,27.731332891510785,27.17271966783651,23.232279035479486,27.99365227511035,26.88782577686594,30.18981059988407,31.530182932485936,33.057020178503265,34.017873457177316,34.209328785737576,37.77186026070951,34.106530951855504,38.05457091468295,37.93515014238332,34.70034135872428,33.65471907709773,29.19288040181156,27.415179022624375,23.176254861173838,22.330924698815064,19.766615111644118,19.41903023510494,20.93728285673272,21.10760764485572,23.042230463953008,21.689833922104587,18.26354691277824,16.49798414948582,15.476779265852587,15.919430746896158,16.447582660872538,20.806726878699855,23.39797791728571,26.309491519533495,29.830065903410055,33.9414664668656,34.360336781208964,38.74735517733306,38.72072628807824,39.04124175683396,34.848758796940785,30.781421039339875,29.517032962199345,26.049050498650633,22.94749023891608,24.857396240155236,24.31085054514255,27.99332193748807,26.48623265853193,25.63483818194612,28.748613709693956,27.148338063538294,24.90053628854344,24.935236270062394,26.27160364054533,23.78481856726918,27.066277702767007,25.389202158656737,30.439796619672297,29.355114414468165,28.389787992156936,29.590525544094014,27.046367872077763,29.45039435699084,28.375300237751183,30.29764424222776,29.327392765795892,30.18297248820907,28.950588860771987,33.29652749367353,34.527850133717905,32.14621410508045,35.91478810092418,37.14214308366901,36.10014815519031,32.08107562291088,33.07411386125169,30.1938682938996,33.42691087775206,34.29169343561733,34.57688978712199,35.63011761311716,32.99516266026209,38.54661836450633,38.28876367391703,39.75429298723019,38.42727068547088,36.04273094260991,40.54499974622031,42.70972939381047,39.58917552560858,40.891447046542986,38.53660557951871,43.27918517021398,41.95844423544954,43.5600589328949,44.209526038119634,43.14657659125517,42.799952586910955,41.15329573864325,41.80981370597856,42.43292549068668,37.97705857988651,39.93178950213223,38.06833903884255,36.53109672606688,40.0888668688428,38.52427726311321,34.54911267870297,36.135795578398145,39.027481347801704,34.92884688898229,31.988826018973963,36.500211221548625,38.212837338886146,32.379435809868504,33.554347092410204,36.70088747249174,33.74355855982941,30.750019213825684,34.861737039154505,34.5657899113029,39.96073419311076,39.53652008151492,39.879491733088216,43.13597818734531,47.63543134595855,51.4758315218317,52.67334339824428,52.66039181566056,51.21577097645814,53.28052635857518,50.30724734307061,54.13201404384485,53.57295954242295,47.31991637189039,49.33469596145596,52.74629177203642,48.8848251196864,46.203903776257214,48.80937314889636,49.193461876899924,45.15661877284313,43.35969944489327,41.078458840030265,42.49523827471229,45.91363013467641,45.65158056153022,47.01099828200675,49.61679540446986,46.31052325904763,43.24423228270641,45.338664254918655,44.86879409829307,40.11829480282139,40.47776787009423,42.35172149295967,40.02202705130316,37.81217894368946,42.650696425097046,42.5674951607277,38.181148854693234,40.363855056805626,44.34094062703806,43.57056203752279,46.21029996226631,44.934511726229076,48.68065905870468,47.53211393183254,42.004374418251714,45.20611243737116,46.99899756703907,43.89298519311041,41.99068564113297,47.81489291791829,46.69934546625707,41.45933340700307,43.3156544608719,48.15170314395898,46.29289048489165,42.26680728359226,37.693879770456846,41.25277913180429,37.2399210193981,38.645116604413445,33.215438977100895,33.36861387881357,29.29955393097321,28.44264978681881,29.713724302458445,32.336445728764474,32.32244725795034,34.53703238016626,30.231399177530804,32.850802449425494,28.321809854849487,29.365765679787653,31.219544787561954,33.665365427940664,30.70271813730298,27.78993051440226,30.542827863195797,30.28503584807244,25.32518374924258,25.11511677362993,29.42594305825707,30.54978697993204,31.52365225313018,32.58799568600414,34.10082300801929],[22.812806130340224,23.211539413464248,24.49622632834762,19.99180003154894,22.965227732895762,19.252980036013962,18.71238850226459,20.76579690859854,16.552985041000454,16.35982728685413,16.59104622053672,19.962137422946494,20.938814215235137,16.95764116962594,20.89615039021314,23.776226279323936,23.04100222158568,26.220035135852253,28.101565859197667,31.752212341715072,34.34700372054293,38.7810490808143,38.97993375281654,38.85951065323489,36.67119128665165,32.25232166062271,31.410532224401386,27.50044750250383,27.783956490688443,27.804928495227177,28.04929201519397,29.455199931637615,31.68981259044372,34.948021973609656,33.97523168046805,32.33317901241711,32.95950135217529,33.677182458823026,34.40668195652213,40.63393324178867,38.174054884073946,36.84893607664556,41.25751283552311,41.810663733918126,43.40694530447513,43.97778032351126,47.63338244195688,46.46633289069756,44.201699891238206,48.63821613217044,49.263390692868846,49.38511812959142,50.011276482894516,44.52332016185405,47.74958367758308,50.80846348703691,46.86834263626209,44.92165321368601,49.457356844387974,50.19193499253019,44.96063573881136,45.28336942890442,42.74796864605097,43.59803592053847,42.31712527975577,39.08283271639933,34.64943748701147,31.664130919494237,28.029306011575933,25.062296756398144,23.850178016404268,24.807385556748084,27.220928882926337,31.39577031618224,31.571296383992934,37.70173391455617,37.994409385775,40.63246719224671,40.832287698405175,42.90336712310113,41.91840103949864,42.487774196272824,40.6048905515671,42.703452286220205,40.0862357774098,37.30635959987552,37.76358530752124,38.11940529019381,36.3901697353207,38.352597890321135,34.9367470722989,36.34372561761221,32.855982183929115,31.306173250989122,27.001493261729486,25.99887106992072,22.077176649625184,26.66560503206587,25.311492304327775,27.981171180026177,30.268248897430183,31.628645191203983,33.326831327585985,33.440917154456194,37.5519917079292,33.92099032773916,37.72788238786895,37.96492752673034,34.55598251323986,33.1587197986906,28.704078530944475,27.437665522086668,22.93319920695324,22.996597378168584,20.54416779320479,21.100406871951673,22.755826053827775,23.75473806427033,25.6325304372911,23.436737126256354,20.307576835274084,18.041879343186793,17.81359404715514,17.50801253843349,17.09874330141936,21.885985422074615,23.371952476652723,26.80507142945102,30.222667672940855,34.35882397630763,35.13286954350396,39.33152272279795,39.798447214194724,39.732084144066775,36.056927210728816,31.91817903726744,30.951464189441783,27.821895287295593,25.1687981040221,27.013286005425854,27.342380495376684,31.091079334828834,29.14623222504296,27.897764956801133,30.76078590538622,28.522036191557387,26.277898217041948,25.508986536608752,26.39395409720863,23.24993876567504,25.999243109935946,23.546659505734446,28.31702798795941,26.40116852092216,25.736792424360733,27.58681040446216,25.62120334364309,28.28115165957068,27.788407227120103,30.084342447534993,30.054424300265083,31.073454735825674,30.64845041114714,34.80391695240924,36.50149370748969,34.60053074421777,38.097072845533745,39.73930806746604,38.42700706953497,34.42225149539376,35.020694850364734,32.06041798676739,34.94102262016142,35.4104931504799,35.331030934429066,35.82417715389527,33.054074891123676,38.399905419822375,38.787778607641016,40.11750872091117,39.467793027537546,36.6052073413073,41.4746343711379,43.952014848358445,41.038322752487865,42.53255715859202,40.339838016920254,45.28875119812486,44.359678787155744,45.772426125850906,46.462324712573846,45.05909986209905,44.68557632997901,42.833907980934754,43.25145650972846,43.761993042633634,39.20268059339179,40.720196190786815,38.577924007004,36.61001299449824,39.88294335651272,37.87281769917643,34.07876186814303,35.82018286024473,38.2432982835242,33.86356260311198,31.450643242555817,35.6820811598855,36.74816018707685,30.95620518399048,32.313841643935504,35.102349877987464,31.74635435851568,29.062064483801755,33.29621975655571,33.479444886166036,38.4782112195662,38.99643674787715,39.14227259970297,42.06707895902211,46.827772746257466,50.42851661345273,51.87785093082624,51.694270731713495,50.47631404167512,52.56292528458511,49.63094092882718,53.74419826796792,53.24221199727596,47.0634489308754,49.2064211441281,52.90021475566474,49.12268697947584,46.50522077712025,49.351784073837585,49.94926519296652,45.84336648716238,44.28530836243671,41.466415125818564,42.71403160396151,45.885687132701904,45.1406841978358,46.30009941583754,48.489064321958686,45.21470204565578,42.41851054596937,44.05275883963601,43.27837281982526,38.680948655206244,39.06211802081603,40.43762526984536,37.88874953833048,35.93931458566891,40.712893303238246,40.23201365113106,35.749752413966085,38.302489090605334,42.26678053277132,41.874202149500086,44.645948762554255,43.618913738251784,47.56380061245542,46.29654411237501,40.965045731024745,44.46855458043618,46.33291192710079,43.223200553655815,41.71052841766639,47.63346048123476,46.53944671575214,41.460593052543715,43.624832351331484,48.44591163166087,46.61361041818536,42.68602287593752,38.029271178112644,41.842719790252545,37.806916656244,38.614314975417734,33.188118996970594,33.02659070810009,28.60886273747459,28.377525036470168,29.971483285122765,32.99795155134083,33.073479801706405,34.81101846661216,30.447346294292128,33.09239562817611,28.556134793636694,28.703816919809668,30.166765596762467,32.194129541946495,28.89380913595072,26.386556598347628,28.726510235330636,27.914750345790825,23.305214836704828,23.25166400904256,27.160530825481377,27.719873327754666,28.499438921988922,29.514882000697895,30.919449270577537],[19.895681032734934,20.117672859074542,21.707344421544835,16.864298507237354,20.796285109045385,18.21586032033414,18.629578236066063,21.674356455393966,18.395296673768655,18.70521164471304,20.000497724288778,23.36009185870275,23.763751394410086,20.217313923217937,24.835615737593393,27.31173999298933,25.925290065606585,29.46108949970647,31.007801818364992,34.50501599235003,37.10490715499846,41.341742277439174,41.4465854704549,40.845900237265404,38.577507399279504,34.311631062404764,33.29139019383105,29.54833038421204,30.447821898372883,30.670888913485662,32.00323992549503,32.94403576594194,35.701372232837755,39.0315212671048,37.53095066056846,35.607611941637,35.79443580587713,36.04439195254546,36.22507755243077,42.21325245381562,39.54082656248613,38.94345387167966,43.39362064479899,43.44551157542376,44.97963620875867,45.05495790197454,48.8544955816298,47.941456504548135,45.11897032065067,49.39624706263787,50.5093992231707,50.607042764697454,51.6232193385862,46.1147514386306,49.827269440835664,52.94922748436818,48.986834255551045,47.49189129461978,52.170782163939165,52.614050292036424,47.61735713027057,48.503044887917326,46.274813286014435,47.113103290781176,45.363877251195014,42.171527461673115,38.0054307296261,35.24797167330519,31.630580122266334,29.12210531523001,27.78068733394825,29.107468638772993,31.66972447174849,35.49368783016801,35.73169862373617,42.0095660379214,41.77058508948301,44.670715520059375,44.418006850894415,46.050712399069795,44.830627671252785,44.80546784774799,42.8848084205008,44.405831245301265,41.57937194307127,39.37974833458389,40.27189918465251,41.04514239404949,39.634079083644714,42.18346535407362,39.00250920706461,40.86180668702566,37.458273878140396,35.883148136491556,31.37387653407732,30.83517445066461,26.693109199392936,30.781261007289377,28.994189406525443,31.334833299765652,33.4379504021239,33.9240501505699,35.65296418637711,34.897825243862634,38.52342484208344,34.29539181515976,37.746954972518644,37.35681280798535,33.61558931207807,32.929166517157434,28.210212332440044,27.488970105282704,23.39194177191368,23.351898210640137,21.963897886616987,21.978981197555957,24.39651712596396,24.767734625494953,27.72738471536897,26.123261775690235,22.756416526912144,20.353871304058504,18.736869574033168,18.087866386754403,17.35594913678064,21.32572730689038,22.471645090755,26.004857877083282,29.218020089370977,33.82162316494589,33.63554032427053,38.02267483310776,38.59490460298806,39.21936391140606,35.11656282563084,31.341746206448228,29.30968604702713,26.68687150108646,24.167842674099795,26.747720562855957,26.980501453168323,31.220496025734818,30.03870109248877,28.625895531376944,31.841871061670453,30.19831664452061,27.547875385990032,27.082207158904886,27.61365984590756,24.653470189643933,27.073029099053695,25.337524868247844,30.107882305408395,28.55422293560744,28.61277511989555,30.185265877498345,28.16659551001798,30.103893483790166,29.988824767688644,31.20989988916329,30.799333620479153,32.575202186404425,31.27956111782357,35.81379686203896,36.63578319610593,34.071825799319484,37.30181789531492,38.49949999159234,36.81268366197744,32.98034399045336,33.90158976608424,31.46320349232556,35.00349408990737,35.97718102863985,36.48050164908878,37.2142390504144,35.06898381899327,40.393497944958334,40.39135145813129,41.38256109740256,40.16679169559131,37.02235454404264,41.461025082490956,43.71469955149518,40.80781356579407,42.92427209483045,41.12261896839383,45.86626646921223,44.5439135293799,45.60640379532356,45.89296008141259,44.512370110100754,43.6202164900165,41.5461058690847,41.746124380430516,41.81202242464879,37.12511077092322,38.64888821181616,36.1685725936466,34.77550523534244,37.70649498463649,36.21645925688371,32.32767221499652,33.27572625936908,35.930230957496605,31.831285047726354,28.551769317207842,32.76539901517899,34.50158623739629,28.433584888926955,29.219250064340844,32.21054487598973,29.357729056023697,26.00257453211813,29.83566313616376,29.752406718480106,35.06559404678611,34.894848674848284,35.55029008510214,38.664363394354886,43.38927781686695,46.92391368626102,48.485103133157075,48.814586671922434,47.75632216444482,50.142601250957576,47.57519994285235,51.50925737297177,50.557474566960565,44.46662692886451,46.943690403025926,50.227219364084156,46.14974548894589,43.83991791792302,46.85916835626863,46.815219395222606,42.59049951737293,41.623588346120314,38.774559501470954,40.834247200431996,44.01779304892135,43.29765378484439,44.98585719376927,47.29691797613133,44.46094034702872,41.191738570962045,42.66708769086098,42.4902115147372,37.83768921408784,37.57219041880685,39.25215252108067,36.93932711736732,34.40288468362261,38.98633743980952,38.82271322099618,34.24342953302494,36.15726120626297,40.11543203595206,39.42925214389207,42.40420656502148,41.58278498097359,45.26931305433089,43.60642554164754,38.26292356381111,41.88149853153324,43.274790554095745,39.98842359322047,38.63395875746856,44.41140917668583,42.81926060912073,37.75963590874109,40.17631969377704,44.72452715620096,42.504811182723955,38.56261699254766,33.84549901088067,37.25411777610949,33.02501246038603,34.04668419485122,28.717584883112703,29.168490274770512,25.021384213612002,24.046655289227402,25.862373816177982,28.680099893814237,29.2106205431103,31.433577820105477,27.698631549375097,30.88290197067151,26.749789890614657,26.833853961892782,29.164735827119372,31.184883809922727,28.71093769402366,25.390535432326192,27.324334184568077,27.302652508052983,22.9513899877737,21.610775799209748,25.514105995647203,26.628098185508165,27.69446439200646,28.914958782544357,30.415163079541436],[14.549253663969735,15.370757798504972,17.908472022249732,13.977460902709755,18.81201623847129,15.528561602111976,17.145201558363816,19.934021543379767,17.359900450439145,19.140066010420405,20.636425285849818,23.173080803769736,24.464917912494933,21.820075836539747,26.407278125539843,28.59506136042391,27.796590170171434,31.831162364935164,34.12589584189133,37.14094728690834,40.20016830992284,44.25234240802297,44.78247411373352,44.31521726887272,41.64644848239116,37.47679396745658,35.877866510494336,31.913540810521365,32.37935287162856,31.88099311046592,33.73375035142224,33.70813891512782,36.45290961521439,40.28503470131761,38.737809294815364,37.28998634267842,36.783674956408554,37.77001337925714,37.955934278442385,43.706756351115864,41.66440037800945,41.39035168575017,45.73315835047608,45.954113883072935,47.90744260526803,48.041797746009024,51.83391411780225,50.536806895955486,47.53014933362175,51.61605341351732,52.540242236298475,52.31792558872105,53.33300593276429,47.845110536537,51.27907907972896,54.84547806230926,51.21953614369036,49.44694545764522,54.179197609145234,55.067483835039866,50.22820671476585,51.15279161036722,48.74012827261127,50.13334261863112,48.35526025578868,44.8045321050187,41.149388096291226,38.009470445568105,34.95560962036826,32.10393124217169,31.266932920015204,32.921608096760075,34.911154193314,38.89098615969646,38.44034698760099,44.67292584619044,44.195207324531495,46.73406988434054,46.31360212777398,47.932967101739784,46.14291374358135,46.032977847916,43.474862461821914,44.99795596050046,42.50197267041839,40.38782851825389,41.8802244475461,42.162747739109136,41.50563817471547,43.72551453029558,40.955936741380164,43.049499447715476,39.42839749891636,37.34788682273596,32.74334162097788,32.198617152619626,28.013902724378095,31.30514624473298,28.946687174145957,30.263114306163324,33.13630540364628,32.725628026997775,35.24966398408232,33.77615893359551,37.60816422466383,33.107941293675516,36.07348323761835,35.71838650324623,31.642453264158384,31.003143431326098,26.26485086252912,26.558662514931196,22.620263142049435,23.59449489806402,23.107152391930637,23.80049860182566,26.73437613061447,27.674407986571488,31.184862380724013,29.030399515422644,25.932290595661193,22.995040555902307,21.49168554637594,19.881416593905243,17.96637796339492,21.623828384166195,21.107345157319877,25.174277682173894,28.004465565242704,32.78665774842826,32.47749026189237,36.6336262264133,37.87662291809607,38.41345360233522,34.793204320136205,31.248104538051,29.05640320760351,27.242650208517325,25.475036924958435,28.261013163258585,29.533007714351346,34.0222377391131,32.75504580486139,30.786303911268526,33.83339207022405,31.8575779533391,29.02448355774558,27.848116913785244,27.592905700602756,24.144737462260522,25.591669570763074,23.613818668241436,27.877650202144608,25.81384729718196,26.784599794277582,28.73191376857881,27.37123493343867,28.94948441828156,29.77887083158423,30.600311331750067,31.053389046913836,33.47982386371474,32.61637523948222,37.05272635760397,37.88541457290525,35.60321820727533,38.2628961831982,39.74329981732656,37.53679410275038,33.90249535666097,34.455997712122134,32.271147590154854,35.66727492419868,36.448188213886354,36.88561252340678,37.10487387700935,35.302106174983685,40.256034800497964,40.72792934398145,41.30187673835045,40.542869402699516,36.69570987530845,41.2181744991291,43.684878327464695,41.090026446545934,43.801344430891724,42.48362364529541,47.29460166833347,46.25198158426733,46.83420895355695,46.93410720493931,45.13848971262852,43.92817398218379,41.49828168378312,41.26618600816147,40.94787358754722,36.15030026491831,37.08308126759864,34.119091952949766,32.52027991089916,34.85137139553946,33.133726432884096,29.489894246136934,30.16878026894115,32.32435787432489,28.10866932402586,25.08161297399549,28.859410241381728,30.152066855253704,24.0674260844908,24.77619921334212,27.42200187583619,24.39777209958238,21.097707835334365,24.88989895248922,25.239305338019285,30.187858154042797,30.847887750899655,31.42357611622402,34.20608309329751,39.17576805716498,42.420072399442205,44.27502307890673,44.611679900636695,43.88353722878144,46.41897817646784,44.10131549304054,48.24890759287649,47.153398733744005,41.246671107518196,44.018235302059956,47.41152295970344,43.33738872501688,41.275963585206014,44.64393045497756,44.57151187418015,40.26060538163687,39.88377593473071,36.37981494922906,38.61531244139405,41.455834668875184,40.176251702465606,41.9075468388005,43.78709996503505,41.27957504177113,38.0782324257142,38.91107186906514,38.75316791227898,34.29737514411444,33.6647595362348,34.95195593834661,32.57129717919071,29.992970702812244,34.354861496486556,33.95824128770927,29.264726511140186,31.200205253056865,35.122394961964226,34.686946662377814,37.88069269170886,37.44246574091108,41.18998297591068,39.22121913415609,34.1332248471234,38.12158663747512,39.37142612976317,36.03506863307449,35.22722092080571,40.99894184185919,39.25678436117565,34.45361288824712,37.32045578132709,41.69274026216824,39.40329532738065,35.627197994464225,30.85821742160895,34.43951434545528,30.22166145891589,30.51346022569411,25.290600616835796,25.511710533756613,21.11378602459583,20.719940359182,22.98363819209064,26.198693282544372,26.988909393491674,28.717237580543536,25.31442568837441,28.721919582824327,24.947136795874624,23.839372509335398,26.160758258462245,27.621366839451404,25.38249530873608,22.07483360088352,23.181976116973363,23.060710218393574,19.44946002771795,17.39851165435086,20.72009587555104,21.587962546126587,22.65472207914845,23.99041214121118,25.47168305213193],[16.383993643661164,18.041712001031833,21.075859466855956,17.929323268200328,22.49226718409417,18.059833397081444,19.501348687813696,21.314724696077967,18.208356973082882,20.336864845632746,20.96685367080682,23.049299567412113,25.415499431948174,22.72313644266288,26.67732762076753,29.14601675940702,29.12827657669645,32.99434298856736,35.689371198211475,38.771260948424555,41.8887732695789,46.08596507823652,46.72357190643499,46.62003941889082,43.9881997006741,39.70016012082374,38.16861421542915,34.02976984884983,33.925030863523375,33.03147379131701,34.04156587395229,34.085785787126824,36.266529688958094,40.257364412329196,39.24651093133325,38.23987825885962,37.89259596272138,39.52112942894996,40.14317628882375,46.03678392321619,44.278219718311654,43.51957405658508,47.822227328296655,48.448235292409564,50.495927077164055,50.9727774066976,54.67697588393402,53.16762593055999,50.51505010770109,54.69377460360782,55.25267934692891,54.98494432389358,55.711657231152266,50.232430127012755,53.21834029037276,56.853174978840876,53.31209305843928,51.106980168773866,55.733306462524816,56.959531684496056,51.94920898604259,52.39180868779481,49.659790398091864,51.15386921624353,49.79653356171601,46.156895017746564,42.33590589411143,38.942121235505915,35.94733232442758,32.63916348276317,31.976772470883038,33.24920251995163,35.063298474890736,39.399706125454216,38.800893046953504,44.84593262385569,44.868885864823056,47.04232072108528,47.03288150252771,49.06373452594399,47.311488330921534,47.697750682436535,44.939679770465986,46.95616560093862,44.733556314379726,42.17422239802785,43.49109764819995,43.24493273551089,42.54291162135833,44.08201603300264,41.211445717496204,42.87258624634137,39.094471975050084,36.84706827105364,32.45245081855841,31.336487526450497,27.42021357611484,30.863290088866133,28.643089251810366,29.608477514900603,33.269379742790846,33.2085937706837,36.19009775114096,35.128416940516786,39.50556248996452,35.34806211894116,38.357156227173284,38.49568973263149,34.49155468546461,33.33880603696206,28.786976073453815,29.13863921076504,24.921456444508113,26.350022489665257,25.343840772602015,26.568711944572833,29.103153852199842,30.522086555775903,33.365127358255215,30.73097547599862,27.819417322250604,24.8994372094757,24.29690940556115,22.770337882995843,20.80072553132498,24.988857433050388,24.175743377498634,28.397720781150333,31.233857634696815,35.778098068112755,36.056429567438265,40.00494320595238,41.441417038636494,41.49321682874282,38.317673480922934,34.59586112737714,32.999131079547055,31.07083242272814,29.33342004603344,31.755673869808923,33.19369901797227,37.45801108988223,35.71429386659885,33.77781004792088,36.58721372926051,34.10743062780683,31.510243791214105,29.900399835217993,29.638747075196978,25.797926071995587,27.037173658230124,24.171432527087703,28.089821968515377,25.03946331670367,26.014968655746408,28.665198940078533,27.816100244436402,29.910477770802753,30.910735425005473,32.48872951531252,33.588691406445236,35.66513162563747,35.54239677452833,39.71558104001615,41.149691671962074,39.31425521177368,42.043143001956636,43.82923064084528,41.72197595567861,38.01509086112997,38.32155868996083,35.870457731096714,38.830220358327466,39.21056766706733,39.19361813071268,39.02316947014196,36.829317213953765,41.6532424468581,42.6618484192592,43.34776883941342,43.194112896122434,39.29013946353133,44.17020587611296,46.87117432514016,44.36303450446974,46.83129866070756,45.358973686018096,50.34021672063696,49.60557490905856,50.3207258490198,50.629099349586326,48.71818537332041,47.737488999614484,45.33470611105235,45.09805453115563,44.90410670377124,40.13607262646001,40.84526603857637,37.87019554701901,35.83546499287579,38.05314757425588,35.86214961359315,32.44587086171123,33.46918559591428,35.14600933686094,30.687533196530598,28.406934158376753,31.850542210529206,32.34602964265476,26.498460011196574,27.467284944058036,29.608879814112697,26.10599635737372,23.355895236818498,27.180622936897052,28.115486249170182,32.46797649578207,34.16458458362096,34.52330226242586,36.89756792888987,42.06290742923794,45.01452776978588,47.10527650330071,47.21444729312083,46.679068219998946,49.1457463644831,46.79555300043723,51.18598318962303,50.255663110904756,44.44590370032688,47.19756674058017,50.8732598550669,46.96811366921503,44.89312406714662,48.335191136335965,48.56566390175282,44.282239858929984,43.88884167472009,40.11486967355262,41.96498967318776,44.610633549557306,42.983282494334425,44.37283981007157,45.848231136436965,43.24632705683127,40.46130584694013,40.93753360474534,40.31337879817377,36.07373380148085,35.66772066838051,36.344044648946515,33.68981464931411,31.591599131794958,35.85332019813006,34.91914142353004,30.179708327933014,32.66246599836644,36.51294597774253,36.57901308329873,39.846512141926574,39.62900303144099,43.58058049363723,41.589906619010534,36.77434852852419,40.96048456899736,42.345953802562335,39.08011849610972,38.59492443148867,44.39360473685978,42.762254354200785,38.161664290999745,41.172162788652834,45.522022295581216,43.32314322417965,39.67529591731668,34.93400327877329,38.63970610766008,34.47407534092067,34.293446423539066,29.220004046054548,29.14657735331859,24.54608634065592,24.774261631512257,27.19329588224952,30.609875054286984,31.373473903087554,32.67178341797854,29.13601231411686,32.32275245002502,28.46159444718578,26.80615332546166,28.466261122566127,29.529619605087955,26.730688348402083,24.167118615910443,24.9514885988529,23.97415194915018,20.7968840893698,19.380272808849007,22.065552908774766,21.982333865281817,22.666010361984657,23.828114762160194,25.06819130848302],[10.46341976391612,12.542427155770982,16.24894961366407,14.239455893776578,19.248197809816777,14.926321741034082,17.547097448962734,19.401214540465013,17.594960536060153,20.748025832982417,22.040016668585984,23.4795524532795,25.896815289517203,24.193875795506198,28.341087099082184,30.262632219083144,30.284051058939472,34.59401326619254,37.64832671364456,40.195052400857094,43.65030989908264,47.533296332996024,48.494141886129064,48.29290893895236,45.29687795203814,41.22445503854262,39.15375259624621,35.00574560702642,34.860615807958474,33.571110285898584,35.58822170867665,34.66437662009301,37.15059931950042,41.43589879517,40.04235729777496,39.22210861721873,38.124726323376706,40.01603864370253,40.36970625753806,45.85937734204456,44.55281883685554,44.38734337168205,48.557657265113285,49.095336606930054,51.457478459512316,51.790414521132675,55.50423008240629,53.76718461266794,50.77144293164471,54.67561378362683,55.25075279810751,54.71035791975354,55.593290143615654,50.18786486128461,53.13924514960122,57.120697765554574,53.88404610707187,51.70184279777947,56.397449431576,57.831121651059725,53.12191442904828,53.90387905923378,51.23181046569808,53.17528975816888,51.52909731913661,47.64752791427269,44.460987431006885,40.92973792994872,38.46350933892815,35.218968346501036,34.90262061495041,36.71485029306398,38.09855788570051,42.25843541894624,41.128257812827016,47.17078129418533,46.623720120165466,48.66758776723062,48.22212660415229,49.94627530930274,47.64649409595485,47.63857579125826,44.432372124871215,46.1240213136721,44.09410966000269,41.922130062492464,43.89084375552503,43.510867950380444,43.5684677832736,45.21473756241356,42.85459460148226,45.011719070109656,41.19967337165857,38.62799705771551,34.10753460222101,33.41996763880539,29.40907212452361,31.851627455545135,29.053850356576607,29.16745536685246,32.981949101498806,31.794930158161858,35.214608116611124,33.22159145376559,37.386331765200595,32.881949439180005,35.30946962783537,35.23375825973176,30.975887268866497,30.14917476214105,25.65710968288701,26.9726512941998,23.26854230966941,25.340365310680905,25.473661799475945,26.934079945091295,30.04193333238614,31.629881983853245,35.27872938372431,32.52126857048157,29.799291227185627,26.522577158873034,25.50736216746329,23.23750488863039,20.44684214583787,23.810963253409472,21.63290676099687,26.057817540283214,28.400119416972665,33.07048246696111,32.9614419511848,36.675892364146,38.62827199244582,38.820224621961835,35.96678961808663,32.64686133924324,30.6966400585052,29.619975863560803,28.598204054492335,31.28281379493649,33.50369209954255,38.00978081436183,36.47792566139586,34.07706033704545,36.800390677816615,34.36731563919323,31.546591579030476,29.591949618440285,28.60704753477625,24.694396660961484,25.008672070663273,22.53562662996732,25.927572806676835,23.042440471056686,24.98606670021113,27.48117778384622,27.032321268319475,28.36750727780678,30.172807272748194,30.868694856985208,32.40730273838495,35.22617536819891,35.094356842376136,39.2232882001193,40.31635845409323,38.55454364727577,40.67531031986617,42.55149064227231,39.971065955599,36.55786495168623,36.62784083538632,34.59300470115517,37.558621924548014,37.95949926654362,38.12894443623012,37.689573970858945,36.106905743524436,40.5402730252467,41.67339345364944,41.88002625131491,41.83025321797238,37.36997545522669,42.04272450767527,44.77989234843248,42.566678772935134,45.67489658203544,44.761825295507485,49.64404400152618,49.01835934393716,49.209798478108794,49.23694425723617,47.02273738738281,45.65413658050064,42.95027916236615,42.31912749321366,41.72400638249434,36.94487191270659,37.17386783508264,33.827051295992035,31.811049508644647,33.44770012543944,31.27177292983581,28.09607546206666,28.708846986668522,30.034556158516267,25.65871733652787,23.46970918867047,26.493142124255407,26.81246589479505,21.011788401881436,21.8298947768366,23.750327804699047,20.285170676759112,17.53003175730355,21.284062933310093,22.434392944635317,26.53052843800402,28.68014816415474,28.934911558588453,31.09643294711257,36.339066310678476,39.14369356229093,41.34934040206731,41.50408478660936,41.17596751063974,43.76679428513616,41.67304996094523,46.11584801058748,45.01220779861252,39.397262301105215,42.3814783183977,46.012653531380785,42.111229081373416,40.28542845320976,43.961367898444536,44.07856619652678,39.78367389492798,39.91461225563117,35.71011500109061,37.819653433244916,40.175397458574686,38.18999740369201,39.74852727335518,40.978822298595006,38.77384655405502,35.89864968250742,35.905670908734606,35.530623799652695,31.449864076552096,30.57760584720287,31.132808144804148,28.57745348845064,26.246414243533444,30.27922598674183,29.376120913566762,24.588916183040098,26.842025301796035,30.66024954155581,30.74996724747235,34.14321079303174,34.18318726317085,38.06865860158945,35.85019301750378,31.220693076794028,35.60400984644694,36.81708150378669,33.541821335244606,33.43391010196958,39.13379887211761,37.40763791636193,33.04460898341245,36.32600737745459,40.480961893231445,38.28165657369628,34.80930789653552,30.14081815947056,33.956123748370665,29.954537657276557,29.225735474905388,24.33690832180729,24.00645113817214,19.384073254907054,20.13532725701636,22.748718791897932,26.352858354196645,27.26199641451748,28.13200127648492,25.05722086753409,28.393517158427333,25.066941468869246,22.512169777553954,24.35983297949395,24.974384658386782,22.799448538714977,20.01256579409932,19.982668049710288,19.310109099540888,16.964168713585007,14.536067575769788,16.639582553667548,16.68250785595706,17.569144894954114,18.974429458422836,20.339319006666774],[14.203362215952117,16.734066897980313,20.852579090477885,18.77470374499183,24.022925549845645,19.850464126547234,22.280397662400546,24.033747992044248,21.771993084541286,24.63145853097083,25.50145180958591,27.070150684433237,29.74625366504682,27.576738071250784,31.536907299992063,33.77980698577268,33.89849849497972,37.97937837242778,40.85005239473037,43.718472647442155,46.986775053413105,51.06025000448202,51.82228812424779,51.641633254042425,48.86459664336372,44.66485635168511,42.89461006535281,38.748046595398264,38.615924516677374,37.45594654174995,38.862889461414774,38.36866898853908,40.562839133513016,44.78615539164058,43.70279536637455,42.89594816041488,42.13432448777845,44.0028351617532,44.48862673503654,50.15793092526372,48.63859503068962,48.21413398257687,52.46076691985331,53.02091694121569,55.20602757645461,55.55377492583913,59.28544993616197,57.709074046431425,54.82302718124282,58.84715378460434,59.472386253362245,59.04823784444628,59.88390143639185,54.440155604325795,57.39777344380831,61.24898164367026,57.87428887044073,55.660438215876574,60.321055489133855,61.67862146873676,56.80719254288281,57.3791328502537,54.63244789007964,56.341567040602456,54.89357388017421,51.13633235818784,47.566628987740785,44.090679034496155,41.296842240032795,37.96407520293827,37.429880919498885,38.81009715767372,40.49138291933828,44.825006757758544,44.00759617253205,50.015781710822324,49.88377556838367,51.91661015758353,51.77072289718149,53.710321250164604,51.641788200878345,51.85706913339876,48.76960768849399,50.62961477484845,48.55547262253883,46.21418116471868,47.91611534992345,47.51084672482806,47.244476501863154,48.69941842564996,46.07734375493248,47.867130805427664,44.02406942394288,41.55317779398988,37.162462524494615,36.071179513601955,32.20610472922537,35.130455633952664,32.588963310801894,32.78276278131652,36.890242587878376,36.087099507812155,39.55647965142762,37.858509236039104,42.16542335697758,37.75196439207729,40.233263748017336,40.19034220885263,35.929380260238105,35.08571068737087,30.603790310650187,31.802273615922914,27.963428273256095,29.85191354064531,29.567750098934845,30.884680871462702,33.762485144806206,35.18104496477378,38.450928214024735,35.80605527543513,32.939717941945815,29.86675559511642,28.96663262498576,27.085637551415033,24.659024125692742,28.28505462484573,26.48334972092021,30.874966236135318,33.293546175098236,37.98442344673594,37.81526458553086,41.58229627207497,43.47733144454115,43.73101130350115,40.7619524373607,37.38916281572313,35.33944940799565,34.08842722527636,32.78620463501627,35.49723324753922,37.27205991736496,41.74233112469369,40.22878816099343,38.06188448206723,40.87725409843895,38.45099269380594,35.70690968402215,33.886431869211926,33.140384101467006,29.19262913262797,29.6839637063224,26.90116211920144,30.22378925988195,26.817685093006634,28.66303827101797,31.52053372116749,31.17628434231866,32.837175407149275,34.49221555800127,35.54601781262443,37.01529369764735,39.59469003477524,39.431940933483304,43.61654812238429,44.761600277361666,42.847017660763434,45.169424621129735,46.88982375850086,44.40252160135533,40.93331734317831,41.18079999733249,39.09897586798125,42.16333210785935,42.59780005753543,42.714531193958045,42.31529045258834,40.50734593211241,45.028415445891824,46.21543350238165,46.55824139781544,46.51197761488449,42.17547486980819,46.88760661177203,49.601102783951006,47.30958314414847,50.28041587940536,49.19045786287825,54.09590156512038,53.36478888279504,53.720925599556786,53.78085211668896,51.67989588703766,50.33761508888567,47.676124687120726,47.09251930807883,46.46286825955678,41.66363085231048,41.95333400195479,38.5376487698312,36.66254335247159,38.15450763385087,36.04773426691419,32.93609248049189,33.31726869593425,34.54999350515136,30.26852637277773,27.944059438648637,30.738693384357763,31.02150539010712,25.29695361561896,25.78180933224246,27.42849426144625,24.100092730784795,21.230113159028104,24.425304344766193,25.824242720861857,29.653974897137875,31.947052850594375,32.6058300087738,34.596934695436964,39.92639389230672,42.37143882649442,44.897866485736074,45.33836277837457,45.28621353858248,48.025755409479956,46.1536805337087,50.592169102440955,49.30926601179933,43.84008593018167,46.9773833417699,50.47855294845953,46.48738389911693,44.83871875219005,48.58912630774797,48.449870431179136,44.11518937588269,44.516571898604425,40.30364196445181,42.636118464161946,44.94424295824117,42.86128612879077,44.47758060715633,45.54291543561244,43.477402983984554,40.6547611313277,40.40630690878294,40.023880008369716,36.09618261185776,35.077239327411625,35.36756074929351,32.78000983885638,30.51176916216496,34.25235691647064,33.11134081561083,28.306783798874964,30.491859447360703,34.16222328156063,34.47225828871345,38.06045809036146,38.427627419442715,42.23612827185709,39.711220875272915,35.338260577042256,39.89076476866884,40.81997830241438,37.472467437804205,37.692142176555706,43.2492501980386,41.17335157488407,36.98115660591587,40.505056082263636,44.40767792202436,41.911237161927815,38.509459074618405,33.82416615637597,37.226838602984635,33.02955557506282,32.26957680878711,27.64546356283936,27.832793527653088,23.412979056817033,23.714243559892715,26.615315298436368,30.053971491816768,31.33087279874272,32.45498912887791,29.700411078176923,33.18139738209639,29.922472941750275,27.36559919608139,29.25700277659211,29.71510927782652,27.53035082466121,24.89916926741503,24.58357075219073,23.752412207607637,21.756811325825126,19.309264903545078,20.908080839582315,20.488347427300322,21.136126606717117,22.373714321763075,23.407734767165806],[10.247045844874739,13.219440681375353,18.06763244759597,17.14142544299257,22.733947181468913,19.411360119603664,22.736722716599647,24.70664827624925,23.58430823295515,26.939883346437963,28.399713135814224,29.644000217438514,32.0740018434668,30.5504727252454,34.75156500801914,36.57310797634989,36.512719932776136,40.88881349502741,43.84300178515636,46.34820431045792,49.7926183566571,53.60294241439562,54.52833242168981,54.147393572024605,51.14822943857459,47.149920445505664,45.02847493342889,40.969334741190025,40.99020555394483,39.68732309231441,41.95914405742954,40.81047255609097,43.32237014694542,47.69327749351781,46.22719408982997,45.43934361174829,44.12461062783011,45.98092996281148,46.1367343155756,51.42358552427046,50.14667924568348,50.292786406909364,54.43784417372235,54.79367717374541,57.138809856681775,57.24881080504089,61.0036057692267,59.36946623500789,56.127318712030686,59.8788170077789,60.66637306948313,60.047319243769785,61.10605535459985,55.7540586910052,58.81773642863907,62.875416027801215,59.712329352200726,57.66950715265428,62.38812844439233,63.78108746250582,59.188256979216725,60.13841522597427,57.53095446234246,59.49727170344006,57.7384950407214,53.86312242570048,50.752956165521304,47.279569303687936,44.790204937800446,41.63056081560446,41.24119783852193,43.01815130254059,44.516657539885415,48.65254883023567,47.56189858238432,53.60168570314717,52.98290656446066,55.020884264666954,54.47571432878773,56.08212712555725,53.62515994297081,53.40854512717274,50.064324243917135,51.51468023852707,49.51920464478883,47.62797812404665,49.84329520651464,49.49549657757484,49.77225389121469,51.469106413195036,49.222184975461296,51.42851100856451,47.60793794675379,44.97249925557741,40.472083973652445,39.77139283181687,35.807377343117025,38.050249676170836,35.11371063724606,34.75807997410475,38.78165347080209,37.04404488393742,40.71308641432685,38.18075791658752,42.07966069099309,37.341920521056906,39.220015164729794,38.79647169780325,34.333383265910115,34.01958554165145,29.656916256319132,31.67566335820456,28.452597567378138,30.63201290428979,31.316094860182652,32.58695004158756,35.92198319703331,37.254709958694605,41.22059389635022,38.681476013807824,35.88173339416686,32.62847120786467,31.203275513652127,28.88479976834305,26.017623655038765,28.758719683923257,26.02471306706375,30.38536244005918,32.28484911304252,37.08371313574366,36.28764113608308,39.84502842299954,42.131641268787234,42.72888535649904,39.910268791399986,37.02851147369253,34.43508433627829,33.9952866062292,33.25042601966388,36.258714927550415,38.460245799950016,43.140104647573665,41.989053724420984,39.53073053612123,42.34772614761406,40.15817640101041,37.21457598053932,35.32004703718501,34.060327996694284,30.253816900436473,30.057917958271343,27.872654105033817,30.729202986052137,27.693333517937884,30.28734583185893,32.84889346034622,32.71942757293141,33.64609582207151,35.85692973041436,36.00545517453898,37.596000182809824,40.81469316735511,40.38745630767212,44.58701552807107,45.232729750689195,43.18872131695972,44.97427459294662,46.57870689899042,43.671967680574774,40.54000226916829,40.726790753092075,39.15210631616789,42.36555991107443,42.962186339067266,43.380536593750925,42.89348203850633,41.70023298963313,45.89816893505987,47.01918246787855,46.93512408676146,46.775569901616,42.052035873013786,46.38955968887692,49.00886098138641,46.96356353506793,50.52662195043243,49.94618408875486,54.66292136567067,53.85766586604203,53.75626877020695,53.49088446620797,51.207071068373935,49.44685848171952,46.53534420157241,45.590717713678416,44.49701980666468,39.743728787961565,39.64050811820725,35.85352216846981,34.28400812670059,35.07104286827215,33.24946238718025,30.41988040596956,30.05170405785202,30.993678602625728,27.059853364002052,24.506681013562623,26.706804573750166,27.0958108722249,21.508307356911956,21.41352853787707,22.76674136027244,19.891669818293053,16.719905066973908,19.256086578778238,20.863925043168713,24.395301317642822,26.88977329423213,27.802356223331955,29.573041862424596,34.94422710430495,37.07814676095338,39.85901546757676,40.633367246815524,40.906799785950376,43.88919688225846,42.46562742951073,46.825009146474876,45.181419031900056,40.0255342310977,43.488374788714346,46.720795606928874,42.64631429823063,41.402458270693224,45.38047405394229,44.853448040229985,40.51997723800155,41.656657240470956,37.12891219790163,39.98665486405218,42.00274145887995,39.6381664060264,41.5907033746293,42.44962639205225,40.95467638943442,37.93782217107263,37.18097352847465,37.26804591740754,33.572033777126244,31.870446969535475,32.11879590756292,29.78998192767025,27.127060159655667,30.384726894510266,29.38996363991093,24.61948684347503,26.169474780407647,29.691881775654576,29.941837987170896,33.74732093130708,34.52531603835919,38.08184472720514,35.12288333266582,31.06380024944628,35.82114170791531,36.29792380333845,32.88937683344544,33.635331691820035,38.91566846819693,36.47566912624683,32.63299580891358,36.53053283118978,40.018252469328964,37.314708844567804,34.145055355260006,29.585462567979864,32.741495658814976,28.65279054728033,27.380557003828038,23.192149996249693,23.554562718219458,19.470622434128327,19.84069740423179,23.04419814904325,26.422838112802857,28.098032154074044,29.02048217580358,27.11835001044662,30.84151233808465,28.320174935114462,25.06081028868376,27.4001998987303,27.42244174830675,26.19006223739253,23.2210441390817,21.95255976573508,21.783868382073877,20.827501847666458,17.194377509000986,17.902614955848478,17.755210845728087,18.607105682206843,20.029574639911633,21.01939172129506],[6.279339337119426,9.64649080890893,14.620615243155049,14.846173267603321,20.05095524409029,16.69116091825854,20.413902270567718,22.10651818493266,21.76991283005195,25.568289060745713,27.256155238939808,28.041893057687897,30.499555984627072,29.63719018440402,33.757462339066755,35.214662627327115,35.294971518000416,39.845810122535234,43.09622654078442,45.1951543375524,48.856391834204466,52.433839673168535,53.62584197772823,53.300120803488994,50.06249727305415,46.23035910614174,43.767800089583986,39.717249231154454,39.57277921432484,37.969587143808006,40.740100408169134,39.006946752362474,41.63099152147005,46.12315130340104,44.47535963198061,43.87146167684255,42.122157313290906,44.230124627606195,44.311793657563776,49.302587625361646,48.42460816566189,48.82898577903426,52.826326265166145,53.23850410068162,55.81936660551291,55.958730181969976,59.650828161380176,57.783069386686044,54.46507002636555,58.02953816073686,58.673673837448156,57.88333601568128,58.94487749918119,53.68709300893846,56.583579909403575,60.852461799211916,57.93789524841439,55.82222583393197,60.526476793666795,62.12697431029354,57.7392323984026,58.81424927619613,56.21412462876664,58.50568288574507,56.63893804083065,52.60575196728583,49.95336957156317,46.36797253114443,44.311501634564294,41.15569345114266,41.062993328085696,43.173581386650895,44.284573605414664,48.29724891001072,46.80011062105599,52.75805435568909,51.799335585607096,53.68370696335615,52.89729753248353,54.34457472412104,51.56560388346903,51.1871889957615,47.57318447463931,48.90368638003808,47.10848422652762,45.38365942243515,47.94552074339218,47.42875982873197,48.1839831096566,49.8477472238013,47.95561363750522,50.44123602786554,46.63133168801069,43.81032731813012,39.30799713415589,38.88259571127039,34.93884251674633,36.51859725222696,33.314118588718124,32.48959508141749,36.49302695562913,34.17211096733511,38.03586269698966,35.07468009574717,38.86012237307901,34.09087155821541,35.63777071774349,35.239062238681484,30.759234560165993,30.48434772079863,26.317797958273815,28.82523770345615,25.964500379008538,28.552601591228804,29.784854886605192,31.318059432199504,34.82601085540918,36.41511201706466,40.66551058371679,37.93367666600491,35.37951267610798,31.955381260864584,30.56694019713141,27.847345463319915,24.57130645715836,26.84727985006586,23.317546959304646,27.669916898856957,29.23688272699697,33.908523416167995,33.15491092435871,36.4505203581976,39.0361519578014,39.5049174817762,37.07285218202982,34.400456143926064,31.9312219531803,31.941820501227074,31.683988824167518,34.619146534623574,37.39658503824287,42.05579899866493,40.857978527366086,38.12890776096135,40.748284021000394,38.47737654253566,35.51919451796341,33.344544509078496,31.678593830141516,27.891943388100856,27.132709885630817,25.18577437732808,27.62413577285116,24.84756205038678,27.844790559968484,30.210872902432364,30.324636562834755,30.82328668876968,33.45156948252817,33.19213109694702,35.14381340273804,38.657857231096536,38.4486029410183,42.457686992059614,43.08605748144332,41.32462186285561,42.73154642782849,44.5441122761804,41.45391538703313,38.50699131672405,38.40413657326024,36.97989756307898,39.95617976701809,40.423658106548196,40.82419848594864,40.102137079279565,39.22233331512891,43.10254661814938,44.36921061965464,44.03148514453047,44.08070229902128,39.09467832583558,43.35659533477022,46.04411415994715,44.222689586201106,48.02712552394305,47.74695608167127,52.40796090827753,51.83048449774114,51.45192801705752,51.1146089370766,48.62899712772262,46.7662062347409,43.73474969588518,42.599805995472785,41.404652721955266,36.72251974277338,36.292296329007,32.42092303363986,30.65562645599726,31.19056967750724,29.209689306524428,26.59351713188685,26.261977278990177,26.895173530157948,22.93713451761483,20.829397737579715,22.760539876172327,22.78204591859049,17.351655732534272,17.453557385777703,18.628397861468105,15.540774249814149,12.696547897162713,15.541359742802,17.356331897547882,20.649370330757765,23.714970809048154,24.158074254741607,25.764535401804032,31.168056796009626,33.39173657291102,36.05835840737419,36.56773203697216,36.809396522502645,39.709637428914945,38.25183610755002,42.698494782568375,41.16340628331319,36.05503590372918,39.497103785391836,42.875305117309495,38.94859429690969,37.70148256329126,41.7318098463694,41.44177624320088,37.17282247410032,38.341932529360776,33.57803373479756,36.254302846475376,38.080996003921136,35.51335517045177,37.39008434673796,38.10162302673852,36.700007899493954,33.7544991231299,32.812168130844135,32.89544455935649,29.304726229382247,27.523022961243026,27.677903271311123,25.373533180925705,22.70554567586824,25.944846150803198,24.957718245946864,20.183950937129687,21.79822931517116,25.371960014575002,25.656262524359185,29.412105480990228,30.178925751006403,33.80614430145413,30.94560964691336,26.91975402510237,31.706565620764522,32.34238807286312,29.02436662284777,29.845918934497178,35.152566473344095,32.983377722757105,29.234300359015318,33.10389898453474,36.65245457139412,34.228132576025445,31.16680396142488,26.722744721520115,30.26860059075272,26.484730148581217,24.799984149040622,20.637130360176418,20.331642984210614,16.142720166976055,17.391257338707852,20.42934798284922,24.003208023437303,25.42944431359604,25.78505419949382,23.917874247091873,27.46132425380133,25.218534581580645,21.431156085943705,23.564618148300173,23.294599944454664,22.35653113250036,19.49596779947561,17.785328899414463,17.6779404012899,17.319184571832828,13.402762704275663,13.594728305064855,13.461489087083397,14.465585402345198,16.055844933442753,17.23644125071807],[7.623667846410589,10.099543312790354,15.07264195932275,15.009386521569473,20.684564082141534,18.814911166442652,22.680906205042024,25.104521218277856,24.984078894569404,28.37492447522909,30.462280363951734,31.67184478277624,33.45353029833735,32.38825848047692,36.87894975943695,38.30020061972019,37.814583448569756,42.36355449360593,45.16647371097116,47.36498738126209,50.85790789258768,54.384563567056496,55.3654672970657,54.70828115364902,51.573039828837146,47.81914213402787,45.462128624199664,41.607671289638766,41.96082732356683,40.754856641277044,43.889590306818654,42.330419863599545,45.25954126734772,49.59683572813002,47.66685364368484,46.70248945440315,44.98234872373882,46.51750108013864,46.25867640986136,51.1429003008035,49.918145565352404,50.673329578966,54.71720295635484,54.746056830231296,57.13360214080432,56.925478594861275,60.68978747015529,59.12958790733103,55.51264420152609,58.99261125596752,60.04450671141768,59.337903824101545,60.67390967709424,55.427103315687354,58.741193582762335,62.87556826559121,59.83874769458675,58.124730520175866,62.89294255100234,64.13690393711657,59.84990095219304,61.257253727072055,58.90729173902839,60.97964192669898,58.84653553783628,54.97098285999124,52.265822525156366,48.937991011290215,46.65206977441638,43.820946140466475,43.46131815275467,45.61446891097928,47.049366550370095,50.87753070550669,49.687491713466045,55.78262728019423,54.63582841150081,56.82660607701779,55.84630096194777,57.03751944156397,54.33591492141784,53.6068195559586,50.22487112386062,51.150265150533315,49.10424482715958,47.74997520650366,50.354020983886734,50.289289755651964,50.931890728353174,53.075517408079115,51.126014225316695,53.76504927480154,50.05638202644319,47.421956704753626,42.80722456577668,42.588012312196895,38.49080596582325,40.260270006511256,37.08346648050162,36.59632467508138,40.117451698223064,37.67467992389211,41.17431995088569,37.94573436000192,41.22863917543594,36.173100042695616,37.56002398965048,36.60233965671498,32.035702153497915,32.404037509300295,28.15444060943757,30.699438821192036,28.16575031491339,30.285693402785654,31.837785212297025,32.837835051254245,36.542839987612346,37.60287258674269,42.207722036640746,39.96862248531272,37.211858728673896,33.91789309683562,31.876158455243345,29.30666224314274,26.270788058797134,28.014466838198604,24.78179639684945,28.880035520339312,30.305405842074123,35.19001237641465,33.62730963415615,37.063380634327245,39.521609607201995,40.61232691811746,37.73973917363005,35.38010916804065,32.14219754161248,32.421432069129175,32.134642892284006,35.42725778438317,37.82710456421697,42.63123769331039,41.955008729863,39.32921383476963,42.178884188799096,40.406587022604256,37.298051609779854,35.57726991632423,34.00013977750318,30.575918336162147,30.017670258895183,28.708065770414706,31.367204830751593,29.161618049128286,32.0787297783374,34.06585029823327,33.81908143743884,34.02259502106322,36.45527679690006,35.64877279822818,36.99113499956672,40.74042146259198,39.8207427652082,44.058796910350466,44.06164453199011,41.77313406044242,43.08321844486422,44.4381675118398,41.21528920529607,38.451159494732224,38.689858946301705,37.65426790952869,41.09895828393958,41.98661290502113,42.8204795909221,42.463635104489015,41.88672549937457,45.869886378113414,46.673282626544534,46.24741332161364,45.71922600699146,40.82378072082943,44.646617103194735,47.046789511202434,45.16900183605179,49.22728296155113,49.087662955877086,53.5283444040832,52.574484299175325,52.07026108023043,51.47295869010473,49.14756602360169,46.96973635596723,43.88762551406965,42.6789514168197,41.17265940923511,36.49902139530904,36.19604695174559,32.15840853957053,31.10631659899761,31.368845543677594,30.091335054291974,27.41053596081803,26.2043640825926,27.185301545220288,23.774758992880308,20.585953572169203,22.41718883459092,23.45948528863006,17.935265611770774,17.07775888561158,18.536416064207486,16.532496814030797,12.671559307622063,14.443783603416609,15.768206793427488,19.538484612664583,21.417722235231036,22.72427644310175,24.609799631153535,29.88468725424347,32.00701342083982,34.803586397890705,36.004279236880606,36.394473822444226,39.59626377671669,38.53953204252014,42.660771830642986,40.64849429162562,35.692245503229124,39.40535308710203,42.24282473342544,38.01701083938179,37.11179372685286,41.20316688585664,40.19808676974842,35.869788372933996,37.60833656588242,33.01862909126939,36.49374730481911,38.37101172648788,36.01907569971126,38.42045505995469,39.369502767963255,38.36450199909129,34.98107134763293,34.07105749873925,34.8073523652017,31.209018457948535,28.87481267885562,29.50303693268532,27.603078031683456,24.361671235386194,27.255944112801124,26.79166669571883,22.194907114231917,22.777622900222745,26.19472193024343,26.001104475023777,29.893495649862587,30.828072234306216,34.02449466577825,30.754165512730978,26.77109182503897,31.537290953656104,31.556025117455242,28.050095532204903,29.02558429132778,34.04717891084951,31.236573089995755,27.55454480611014,31.679861935536895,34.83448984377052,31.9059612866542,28.851253681895212,24.382851046902395,27.266443435828013,23.22127181813226,21.755085230925033,17.85825617683891,18.60038789355762,15.063347159530332,15.077899400085816,18.465060848504237,21.623444232007024,23.67500268532813,24.64237891880164,23.64812494330765,27.609797602596423,25.83807991333217,22.40942061985081,25.373572794590945,25.288716729113943,25.16839239214211,21.649505662933016,19.869619629096803,20.75348807976007,20.346282273884217,15.64651386983492,15.956922051618438,16.720222822426965,17.93074732168744,19.470123656159,20.597950571356872],[7.241011387467185,9.461134765276144,14.296642086397664,15.798609047496578,20.889064518898003,19.554146497553447,23.731315366443127,25.8934537589947,26.570644465078374,30.25356768432099,32.50922865272096,33.30525521881815,35.07863775518439,34.58112539108882,38.96739923561447,40.064869164053135,39.671999761893645,44.33031018683002,47.31687040430164,49.15843451532152,52.79910487463088,56.087876520079995,57.26947939435899,56.59974149665198,53.28693569187297,49.72575565077351,47.09050908164104,43.311996694769874,43.581657872633194,42.1459320977716,45.72677703285057,43.65015582482732,46.651663298648394,51.07683072319395,48.98709797460023,48.18669218917183,46.05746983984612,47.76433938131422,47.3749871327835,51.88725741051008,51.020203905696434,52.100925177017544,55.97981841750013,55.99074660348473,58.56068506843179,58.3006809881971,62.00584612325628,60.286966929418206,56.534177681660516,59.77364227598478,60.78282005796344,59.888861991756656,61.28811633989857,56.182848572231826,59.377253233816354,63.69032188122464,60.91175060502087,59.20238538229971,63.93723424891038,65.33311049891812,61.28554427342948,62.850870882722106,60.54147973407911,62.881635725741454,60.62982411669796,56.646076307960676,54.35752957727388,50.977488284292036,49.043112745446,46.25478957936298,46.10932422606446,48.49416556196258,49.653279758208846,53.361734780238045,51.86772243745932,57.85827857799936,56.42388102168792,58.47755061854051,57.26955362569328,58.27685700603562,55.269409488472334,54.328641754070446,50.704993685658955,51.41710378940693,49.5724822100289,48.482897869270246,51.44135369257751,51.2545212709756,52.36061278059633,54.48498076196978,52.87271268418774,55.735656087898185,52.053512051225916,49.270784912868024,44.695427578634856,44.684820555974085,40.65028178143056,41.83879759721278,38.452306543769126,37.472826898530876,40.972214143891385,37.90558923019217,41.57701384858136,37.84153728092297,40.84892124843642,35.750345174681385,36.588756830046336,35.4947242255028,30.929781583376922,31.577891587915982,27.685334094910566,30.84166052865204,28.867514932868193,31.289609543792785,33.42481456520272,34.55629586994897,38.40770938506445,39.584643548765115,44.4631557413652,42.15205611650246,39.59532740869271,36.21397285234861,34.12552554587576,31.27952400569895,27.97808275311898,29.098570352751086,25.13647879783747,29.030678549653235,29.93706401562095,34.638354845602905,32.8300756333873,35.88573803764925,38.71134620368726,39.858825113309926,37.386763231171884,35.447055554895655,32.12927714333823,33.0528820989395,33.2929947713252,36.56356813173073,39.4049289315621,44.18859708448414,43.60753044869009,40.77000540574363,43.44986807790943,41.71819144105593,38.5994588075433,36.70356555118597,34.73432925732951,31.44968072315998,30.286305430684752,29.335905269049448,31.418572512192004,29.474165129001364,32.8285339102435,34.61731728699477,34.65580206219577,34.36507323423852,37.21829693139185,35.88271701688004,37.503114998228796,41.58582716036096,40.74829853152162,44.796383834102755,44.61417263955429,42.49171244305975,43.32018254090886,44.73250345241594,41.256737021547465,38.81623989764841,38.84312358817628,38.14135699851351,41.423943838155616,42.26696423764785,43.175696117950174,42.61897254309213,42.46365673365966,46.04452789681954,46.941112762829086,46.1922634680849,45.79148733362934,40.640211425127546,44.19060737456929,46.56373517632754,44.97479647070994,49.38246438174035,49.63409273395652,53.92264405029579,53.087896236456906,52.230478263365534,51.457550107201065,48.94289250848804,46.540543307939316,43.30577717626175,41.803466129906084,39.999552542739046,35.488157009332596,34.73511598462956,30.49136647728853,29.528851546894078,29.11775954811905,27.94997998040695,25.717986578315152,24.030566979189803,24.506531530131088,21.49119964761113,18.59725318380293,19.57905153597086,20.391327460533567,15.43332692402782,14.107142771477202,14.988345272035938,13.514168352959555,9.852974679018585,10.657435842557888,12.398781889475538,15.483569029522082,18.05325061145448,19.28804364637079,20.764893907941296,26.072567684757775,27.91926469999253,30.884998686465497,32.182693335308166,32.85091589654733,36.160874233627844,35.440260839019466,39.53313990992208,37.35097229500685,32.73707253644009,36.63111010822213,39.35295934986487,35.21846583812837,34.62812855909678,38.86475203517917,37.76277555458746,33.53578996693715,35.79213163666968,30.90580722076553,34.53862109673416,36.04614439725755,33.37650963486426,35.89328110109301,36.54208165894001,36.000840250330086,32.647716111051174,31.22879098961118,32.23831989805845,28.999703414178047,26.20140220662809,26.650988604923516,25.012355124927996,21.632724565542162,23.960659269854677,23.584519219505008,19.232744376261675,19.23779344345081,22.42343100290329,22.252862098025414,26.251039353578044,27.54720067610603,30.540372705827767,26.991780679702888,23.417585232488683,28.31265743129759,28.04988773118142,24.599152467094854,26.11078598272019,30.837457926275484,27.919214858080714,24.684236479082585,29.052528939592037,31.8552927515436,28.96699045787428,26.237654398889397,22.058102160930975,24.907169361648407,21.254219033732582,19.011258944279813,15.749823714097962,16.18259364762671,13.201390757489431,13.896243692682688,17.20502924648428,20.257272712993938,22.394404612204756,22.777335516776464,22.51785369353253,26.348165848870888,25.29480564752966,21.249747625961827,24.18276716096145,23.589631156754635,24.238835967573092,20.874101976987866,18.259436730880015,19.54426799179405,20.202010424466962,15.134828708826454,14.282769724210967,15.16783055255392,16.44573973536851,17.94528137116124,18.9817202142616],[7.790156565094165,8.55237708171488,12.726348871029854,13.508043652260525,18.76888309200395,18.518825574605078,22.593375270248444,25.37142283721617,26.106634183728836,29.353273629810825,31.9418939693785,33.135839428557155,34.24084982627259,33.592974523493794,38.25438462102762,39.29292863886997,38.40682251257055,43.0287964165224,45.64862293680091,47.53284620813198,51.0279985743841,54.2548319819165,55.28064118731957,54.38127783513823,51.1459781265616,47.665510968569606,45.11931675797872,41.51319499486761,42.17246691823706,41.09848578793692,44.97200004781083,43.09782160166169,46.38488567672552,50.61434074235841,48.27106525822188,47.12944833629514,45.082890711530716,46.265288802508486,45.62487811963912,50.08330104118609,48.90522289629054,50.214801026246896,54.123242498177845,53.849727630681265,56.26201333778842,55.77234633505621,59.517717518894514,58.02529494917964,54.09188878672165,57.30734629221014,58.59083771827752,57.815012612117364,59.38821310443303,54.27789740002448,57.80847731527503,61.96905411434253,59.05937450013963,57.67253113104966,62.45061415575097,63.534913627085146,59.5613522408501,61.38107941124773,59.29444485071527,61.43982035930413,58.975532910906246,55.13816737078814,52.83555919427583,49.68054206402457,47.61107684668164,45.121207973963145,44.799603787270186,47.27715484280532,48.625945130357586,52.122820037131866,50.8566850422853,56.950389296365486,55.320938594214425,57.64801325202525,56.27451413320565,57.06692464315755,54.18528268802218,52.98428253502421,49.638319326713315,50.0557126025696,47.96303710236434,47.125620892896116,50.039183533287854,50.26503666188948,51.20814619584632,53.76551312477582,52.09416152092519,55.10851495339504,51.54746835171301,48.96183084522615,44.29513480823787,44.526602882504406,40.36037756711796,41.711933999616456,38.39505333488162,37.89591167007889,40.82365115519372,37.847963920248894,41.054930634225464,37.28263074271053,39.91719414234203,34.64394852693825,35.59660260222353,34.12265413581267,29.556849805827895,30.589527207257774,26.53318133471377,29.429236562149356,27.612562535127296,29.565275928597437,31.861738178151864,32.57954292341844,36.53244042972549,37.33242503334674,42.436516587914554,40.50079246457348,37.845224741905824,34.58519859106121,32.047156522223126,29.31858871407998,26.242361244263602,26.989587610222294,23.464212974030687,27.13458819484492,28.087922029993276,32.95322308010741,30.675393160483438,33.97381563886368,36.510857818338756,38.06975444273244,35.14517288497334,33.31326423869342,29.531120030876338,30.474766468052238,30.63304430307866,34.10089282581406,36.65843201463285,41.48810235653791,41.244216646862576,38.50500617249499,41.33195074706364,39.97838074051675,36.778592935284564,35.274158271153105,33.470435694765186,30.516018657478124,29.7171336780004,29.286884414777706,31.789697212350845,30.473777534288082,33.49318655349696,34.869197826239905,34.441645253705474,34.003532314026685,36.5140511677248,34.84973111033738,35.87248412588511,40.02914997520204,38.65108067252211,42.86343357383739,42.26928461168385,39.79231526853288,40.647536533679194,41.762309545902525,38.29245802991243,35.90451848814857,36.1857997192738,35.66401404316403,39.27310429909417,40.42913648647485,41.64850306698177,41.457321637579554,41.44465382776487,45.209175181199036,45.66248891648698,44.95176435305746,44.04603914234324,39.09250429237038,42.37723291903434,44.533874719282444,42.81170934832996,47.26740482763845,47.520556817637356,51.66782624353145,50.58886878060471,49.723943890542216,48.83654575821522,46.49690562228578,43.96552375884794,40.76737902259571,39.34335629671958,37.49042778804798,32.93862754039191,32.4947417869821,28.300833316238048,27.802721661685343,27.646856724989426,26.980182797557667,24.42735548111198,22.42611906946965,23.577338468094418,20.789566063440677,16.89292745082689,18.442940101834274,20.36841279837823,15.03263112753314,13.376242592308675,15.173852692775817,14.317766340209769,9.83590224542758,10.720187205050685,11.283521936556983,15.636895549959975,16.36530820676671,18.053524208049467,20.256253941445213,25.324624221856677,27.657634657826353,30.27373839655598,31.818529042796367,32.17292070169092,35.526598411007264,34.73349072424395,38.565629302799756,36.25603805466913,31.428917514611,35.30159349633862,37.74995321840346,33.38186569908667,32.738850688415965,36.87367879117042,35.445167186593224,31.133849200038714,33.34625142057115,28.800239243414154,32.829228648248105,34.62377258343647,32.41896764741445,35.2381271907578,36.39454134449446,35.77979187877113,32.04248922682822,31.176892169221055,32.545539656278095,29.014154684813064,26.189057334843152,27.35375759184808,25.941428761702102,22.189711238594473,24.785134522624418,25.000742367541122,20.76856967908785,20.332749457902672,23.613569047067568,22.803086785916737,26.617542586865426,27.513318294993415,30.31799054177419,26.904217910611465,22.875223116051956,27.490753466523394,27.130664679099336,23.545986222014776,24.545250432734417,29.34038285732577,26.249428143667288,22.604327248189428,26.846095092810323,29.768271875357073,26.67863871327797,23.658155870483302,19.259279509953185,21.97736175349305,17.993703645579206,16.44416908952963,12.687873306440135,13.839902826876312,11.070656091676524,10.554580805817022,13.99698757234684,16.86057479534686,19.22869291195538,20.25689506580053,20.18528029795638,24.283209361820415,23.27295856945188,19.932628257552924,23.47581154327096,23.42373642553662,24.336789224157847,20.383210587962328,18.394956832281622,20.33522843577769,20.233432973546794,14.943075581307195,15.108570399863043,16.941730074647104,18.45727533214972,19.983127148667496,21.215379252064963],[4.9806853121525165,5.440025420538944,9.833775747640768,10.018383241497009,15.52121470944875,14.662845769881178,18.687396982429526,21.492302739656914,22.08150820661818,25.31994447183122,27.89940127030684,29.125838208964442,30.22386369241392,29.575603679634263,34.212949841309474,35.26248429592532,34.4376623334321,39.06792588017248,41.79367810108473,43.67775255237641,47.2196251427557,50.49475057512638,51.57173585416678,50.79367221938475,47.52325275148411,43.98147416635608,41.415622644375404,37.720373391460335,38.263436466184466,37.146641295733424,40.939046697342114,39.11279227273212,42.391548323890405,46.60536079850966,44.2992997780596,43.1711894344861,41.19141907835403,42.45330435747524,41.93274214338233,46.536675721419655,45.37827092233033,46.5140770464489,50.45293343461793,50.313947731419745,52.78065653880142,52.447007621377224,56.18879662901525,54.589120281390485,50.79039850739993,54.127792157821126,55.25501568164965,54.49953403666441,55.952460621725145,50.776865671792194,54.22350264955485,58.38782769295058,55.440463962027444,53.92783389698376,58.71013967013517,59.86507948932655,55.80579007428952,57.514183640707756,55.363963784952766,57.5349843172838,55.14268233076995,51.267217149027054,48.94195341158351,45.7236190512593,43.699807472653575,41.14813486471673,40.89535762444899,43.41047149595252,44.66297014529956,48.178412579972694,46.84877679679774,52.93621595120584,51.34052283795465,53.64295065126313,52.32389628874998,53.1974119151422,50.36298355577096,49.29083097128104,45.96025916183283,46.54064308474243,44.44361764422011,43.42404872649139,46.244469107283216,46.409533715265,47.27987781048923,49.78204541900852,48.07271019993633,51.07057187840844,47.50481394266363,44.92607534400312,40.254679162320734,40.50653612657325,36.33298125848093,37.70645032922533,34.42208177940037,34.08656121370042,36.94433578703908,34.1767013320935,37.32400795638313,33.774129889854905,36.6331718879325,31.409718887428266,32.699749979226375,31.461766377012665,26.894830223366277,27.585835791092045,23.327056067669623,25.959189931607327,23.856081144429723,25.860367984186492,27.984374956396426,28.844956364636783,32.75160965612463,33.73468360758949,38.73051346281581,36.63651533926635,34.031011692611514,30.71512586036692,28.356903086062935,25.556196813039815,22.390647486780974,23.420337872880406,19.961288155822526,23.84592663145326,25.09082727825677,30.012732859433083,28.18210239830371,31.654614683341904,34.066656988722826,35.33220499560738,32.381819529554775,30.217681228380858,26.787303822238584,27.37181400089811,27.41011462734372,30.75684335136534,33.43840786747001,38.23720215865041,37.74050517217593,34.97162222038432,37.75953024636052,36.22464211747833,33.05366867460542,31.453800210436004,29.720882088443613,26.652586574077375,26.03094521919014,25.478469683095135,28.23411014892037,26.990340500370802,29.778180920021153,31.11694329929103,30.56302444023984,30.284000028118903,32.66839177576934,31.249756814521067,32.32563716608974,36.339809427951224,35.16145783881011,39.36934909896434,39.068415521873625,36.77600312507124,37.84162447184744,39.19682982424158,35.873163973940855,33.23997830263719,33.411337297080685,32.5717591946473,36.058758765523926,37.08117627214102,38.144312052764015,37.93494907897161,37.711300455055856,41.61422674953657,42.124992009124284,41.56313499547099,40.77086013710255,35.86877775790266,39.44735605691802,41.743066057519805,39.90568329634051,44.14256405699853,44.203898749157155,48.512099410721056,47.575139183117045,46.87752474095168,46.18219611852463,43.82841052420101,41.532737521465904,38.41054287184362,37.16195498753626,35.63322428003812,30.953922546564954,30.695955807013405,26.697777961352458,25.759736932026755,26.223759945188185,25.164887197883303,22.281062614302595,21.032209387921668,22.445761988570403,19.084308953348646,15.407486524806625,17.769781678936415,19.484072537134978,13.615513277725105,12.865124018156674,15.179613705243936,13.414574952523665,9.064542168520633,11.703047145613592,12.118149306908508,16.92007792080566,17.813681048340992,18.75145219283007,21.221896472129217,26.321667004510946,29.15942469330671,31.38204228297308,32.35111805951112,32.28053282055677,35.35644874239966,34.025243741298816,38.0407027223639,36.15528571505547,30.904519634995772,34.47516143107822,37.33715055045797,33.07589166857069,31.949882305805232,35.94881437634042,35.067088985331075,30.710150717291356,32.16354999895721,27.693419586406698,31.183081503555726,33.234082522047366,31.18765161754853,33.7155443647077,35.08285049382618,33.9442023679975,30.283862524022762,29.876645499997743,30.866088376734382,27.00193470492392,24.71065962794291,26.014618561430144,24.331573283897434,20.751588096199313,24.043348211996236,24.190053096990777,19.72908959288944,20.025854304214906,23.66072661633503,22.869412857291028,26.473800743208063,26.861252933795978,30.053318602966122,27.170906616950614,22.629166071175497,27.117161784301306,27.414672657258546,23.897150814333806,24.252131701708468,29.52796511200748,27.047769629627904,22.92038285023297,26.742312781940303,30.292774191830517,27.635167338160073,24.332497157645374,19.73508474494792,23.190357656677236,19.245931551218515,18.13027048913621,13.543479068860458,13.814468414421505,9.976268120839764,10.106972904696814,13.264930646343654,16.651897438974256,18.369546301882025,19.31318575739286,18.152983585578802,22.150574384470236,20.48608246123598,17.341385906681957,20.68584106128622,20.9762391460709,21.29646145215889,17.2780756088567,15.922451903069042,17.59590712396356,16.74828220513628,11.645176143930732,12.749715837223718,14.773202740958197,16.438195896069587,18.07811791630599,19.59109477340017],[7.4992054539021815,8.420325111145035,12.605190640559666,11.486046941196998,17.370194780081615,16.367504302391374,20.070899287212654,23.10844674756215,23.041197452820185,25.97473587030566,28.418291482210172,30.020745580315804,31.09692151851756,29.91753780534801,34.67471240464051,36.00878600822568,35.044411105703745,39.56520846407935,42.047557518459804,44.26190373842922,47.636787140157544,51.10112456107687,51.96102306041565,51.12005100141661,48.03428105583832,44.35121278823719,42.05695655635627,38.34796807782347,39.04676458403209,38.177506387521994,41.6146084453566,40.23850243273427,43.45961602231095,47.592142852431955,45.404740834223766,44.11291058257641,42.47184835900917,43.51951469227008,43.04635112215163,47.90365664561035,46.40157958664148,47.33950926587919,51.41097070491793,51.20797546380542,53.473238925302915,53.095958851706705,56.895269324586266,55.50308809298181,51.75306614910976,55.241769224652714,56.49778957989489,55.90209637093015,57.36539422700419,52.102989039449355,55.704546965376736,59.69982672941871,56.53899272838469,55.0995838252792,59.90657020445737,60.87837981479854,56.653830140437876,58.28558236135252,56.14043535968789,58.04989097807,55.71997995170851,51.96910715432016,49.277631850380686,46.15018368814131,43.7749363416968,41.2319166469834,40.73646185583335,43.027385208179005,44.59273832744646,48.196249828239075,47.18667330671902,53.37350957360339,52.01219458900859,54.45796274208718,53.30968565389021,54.29827371685651,51.71822833247401,50.76333720588625,47.65132977348754,48.331154684324346,46.05416719586085,44.89893367930519,47.44416031643265,47.7615069152155,48.24861223784792,50.807076436772846,48.81642886880834,51.625615152847494,48.045659650650926,45.604990035386926,40.9035027734453,40.96759356633509,36.74130863783086,38.627503064327044,35.52279927965321,35.547514227198576,38.442794071512026,36.12443650890718,39.137396384855236,35.93035235243896,38.90187939173656,33.713464242494105,35.30311860617061,34.0711810358222,29.532974677700704,30.146996347979055,25.71062298707083,27.90344305543317,25.44997304131857,27.117232959111735,28.786051511655824,29.421743816627824,33.22018611323122,33.97374502779285,38.78719523479835,36.86496025676415,34.038413470777186,30.839236090360487,28.3952240564776,25.90462308672922,23.0605150334396,24.518066997666253,21.764623628081154,25.690535955072775,27.25563645829835,32.2820807530244,30.447195071581035,34.14666750067237,36.28159816449275,37.64726700723342,34.35926931179412,31.9975724388279,28.461453205501503,28.622593839037403,28.214041744081005,31.65161004037047,33.83197316669411,38.670474938227414,38.23573109170094,35.686326585575586,38.65805463132588,37.19873400421812,34.02228667883594,32.65439656917259,31.255053194194208,28.140789959473423,27.985816529136258,27.187975981265406,30.304270189240732,28.80389510231032,31.320295316157615,32.84080310670909,32.096153490951856,32.17131671109025,34.23170600362558,33.15917651770071,33.93822337770396,37.71428100512761,36.338574393992275,40.7221841162976,40.42527506089356,37.87189280330987,39.27237795956721,40.434989836045055,37.276357038448374,34.47957971721857,34.914601721062155,33.9406766246517,37.64292231490586,38.78174409706831,39.86263709220123,39.84904911579689,39.3620975708595,43.54355256122368,43.93455017445636,43.58378042685856,42.613181667498225,37.93107985551027,41.58309523499822,43.81995696682331,41.78757046017702,45.81423677113653,45.62303920912984,49.97560696373431,48.846960565642746,48.382700674750765,47.74204825989824,45.57339237439184,43.36160126434063,40.34983638229517,39.27883053885516,37.85159098774879,33.122136290109545,33.17176030119987,29.285286133045815,28.502702083108275,29.211672049115432,28.25654503808225,25.203605590841068,24.000060312166905,25.64914398401487,22.286813271697316,18.3652867275443,20.931845342433686,22.828620620932885,16.905989394781862,16.09479162377907,18.42375713446471,16.6841681743219,12.302659532902151,14.622069499314309,14.979134031349295,19.815784193958553,20.28069270629907,21.645746216680063,24.195603997145938,29.24115001134025,31.962570609046388,34.290106679354196,35.4775550655947,35.43816129374082,38.56297406132495,37.25680106333075,41.19112571822135,39.23030975251862,33.96266024803919,37.523710521577854,40.25403271202644,35.88966664954723,34.76530792591065,38.6910441910736,37.60785504525825,33.219810511695556,34.61765152088064,30.39808568743863,34.00086895383831,36.2132072431717,34.34736482732912,36.907279976577456,38.38221308686194,37.14700169705624,33.45681052074383,33.20049999558541,34.142554575069305,30.19402248627633,28.01511218941813,29.32862028534806,27.570081313556678,24.06022525025478,27.38189906578785,27.437062624926096,22.904895624800307,23.294852928164687,26.89541586722089,26.149590028261937,29.794531612251028,30.20359694109735,33.347821717265454,30.397740857541688,25.87644589193873,30.316499953196473,30.488302956129196,26.924723396310593,27.218714558909713,32.42907958691697,29.72955461722113,25.55868409298732,29.36270375896742,32.83224605382384,29.93283420940001,26.5541788269393,21.891005462600088,24.91346205296032,20.673605100044526,20.001434910423306,15.467407594647097,16.442448727513817,12.80519460623142,12.00853995227153,15.265672982792207,18.380376488598518,20.33036489979034,21.82931461340114,20.59380585407718,24.7030059216496,22.74331078898368,20.088616362770004,23.513342437590268,24.03069095472381,23.992812547796014,19.940119913625598,18.94633584694826,20.375943049787182,19.053542407500434,14.280177950634801,15.766360558257512,17.47486952879146,18.964258579532213,20.56366495873637,21.964418012254523],[6.628393317321128,8.052901280958745,12.202200682797663,10.516284465720029,16.30453089747409,13.893815068223311,17.376305586260884,20.112505649305707,19.55335571872803,22.630876182575154,24.8015417750177,26.34615435276546,27.8073147810938,26.53031916137583,31.13753166450256,32.61589435673971,31.96827795732556,36.47669963373794,39.21212209456879,41.49299901622816,44.9456256090823,48.54077082459324,49.48131023607512,48.881073587071704,45.774969378853484,41.95402443890896,39.673874401857,35.779383141578464,36.16887053072454,35.12366467490289,38.18374813866147,36.89134670354849,39.921002417172105,44.11918415711819,42.150712316477794,41.01679436846879,39.51016269378385,40.87067003194752,40.681727727363054,45.77256522279885,44.378112503544486,44.943673304674675,49.05367929405055,49.13212327586931,51.47756780658698,51.37780487562784,55.15003116191629,53.5857818429317,50.10254573069342,53.74601504843385,54.72478540075928,54.126495463326265,55.376762372354875,50.04695778934784,53.40969923182139,57.4317967529909,54.25775622913519,52.53625324630521,57.31921969366894,58.48284852263241,54.091837074315436,55.44512893270226,53.114129430901706,55.08288432580395,52.96692854387704,49.134732822015984,46.32641971828424,43.03364653043191,40.684421207125425,37.90239812122506,37.512400585358364,39.723901670954795,41.16724733794737,44.94093997475053,43.8259291358918,49.974603033281056,48.828714699471995,51.13710577030615,50.18775945846394,51.40988026333233,48.89008164845144,48.24727652538649,45.07404678131962,46.11178494801751,43.922054833397645,42.40260650296357,44.78634848344943,44.855713178458345,45.23981494207017,47.51257886046443,45.43102006753502,48.079201358552275,44.42178382702372,41.919935639456185,37.25148234294298,37.13835388077639,32.95387884840666,34.94824490637919,31.90054150352769,31.967846014514542,35.110671808339205,33.12952007492951,36.2751561349202,33.452977574033575,36.86914191296645,31.88370037107939,33.82881606820061,33.042558031517586,28.569689497903077,28.609089918913764,24.066705240838214,25.952430031283203,23.00608712333653,24.878566748561184,26.084470480903313,27.05941684740803,30.683995324713887,31.794120475667842,36.277013826087526,34.01187225940041,31.238952030265242,27.94899528141813,25.979245297804194,23.453860166200116,20.503673988262772,22.651576739353597,19.993602521934307,24.212063085889792,26.117552808416974,31.06731552633187,29.945435529950533,33.69370501652818,35.76785187048812,36.6451155582963,33.517694637889925,30.740305640426012,27.841409597448017,27.51554767135169,26.9100181367149,30.08105781958048,32.39757689425634,37.147492000750624,36.270633205756134,33.71140112039416,36.58907313264141,34.74783001334973,31.666355271699402,30.045392336712286,28.745652180788376,25.31877282486996,25.318676372688884,23.996372451435363,27.281779042128154,25.432446595390058,27.751772692670432,29.521559985864727,28.830017332075215,29.29236555276309,31.28539132659852,30.787172779643676,31.86092350486141,35.34524649188034,34.44031210439835,38.74640515226644,38.98809963260381,36.76884502604941,38.43941560680208,39.94375553442882,36.9908470894726,33.915803731180425,34.163949457153336,32.74729913894017,36.16551255736981,37.01580064673455,37.760962724406596,37.58562809317484,36.72079568076727,41.012973413498855,41.666675530577834,41.51024369283829,40.884050678732436,36.24138955631583,40.32311930087539,42.78087714126206,40.67079980528506,44.370623615881094,43.91962632369251,48.50214074843721,47.59184567960434,47.36393389117847,46.99127167549748,44.77165384680422,42.898037603418004,39.99210197818827,39.098771242140636,38.03670454896271,33.2478095117389,33.380310605187624,29.719271415826363,28.353173410986106,29.545925748791202,28.03594137772459,24.84283284207909,24.498842526534773,26.08763123339305,22.18414409063919,18.968875218961923,21.91624250875483,23.1711381703022,17.11717217615848,17.171761033385366,19.48545281528403,16.85857551528175,13.108048643392838,16.44181233194692,17.08383328761988,21.750275534399652,22.943247486581996,23.657184704396194,26.12522253345104,31.26739493869229,34.16742521270103,36.34081575840059,36.986002298502086,36.723033563492024,39.58440503343383,37.85025007297958,42.026644490338654,40.485917794019485,34.97409792920465,38.255130639421715,41.43315229365931,37.26928879701298,35.761615103928136,39.57441555445321,39.08954976031203,34.725347215403204,35.46614167724775,31.23754816209467,34.15436369525769,36.479018045151015,34.594961587908514,36.73306004258974,38.18287083596424,36.47653916756704,33.07060428970426,33.02630664922235,33.426160167078976,29.3201910608404,27.718440161350223,28.827240387519048,26.722482374771083,23.62808578036785,27.41253847287417,27.139956613392577,22.434018647927505,23.660506039660813,27.457419934974624,26.994412575486677,30.501184262826225,30.636883020761022,34.15872148664352,31.611593494325934,26.89941863980708,31.297811374456327,32.03211102333917,28.59083077522101,28.575591240716317,34.10264045409165,31.941535642163004,27.580699011030692,31.08342368397499,34.97879805713371,32.477784059990576,29.003784856248743,24.304046548139777,27.85914041375706,23.773104886317476,23.116394416898224,18.263519624546113,18.420513920301207,14.113256947677868,14.231426597916863,17.113004753115252,20.57790755709179,21.91872229716417,23.088921343753363,20.855964587828236,24.6643132465619,22.029588408496654,19.39166748961846,22.243767653300445,22.890119925299377,21.988040216565125,18.262956639415258,17.76575153791096,18.459392294077556,16.5510283519346,12.47412434811688,14.52732912494858,15.810864860135204,17.203176380697485,18.821314530276982,20.33357741105458],[11.04454693457922,13.0494281331132,17.264460643868176,15.035366647904093,20.82221792608168,18.029743540871976,21.007534943237005,23.61122112311415,22.152368075251804,24.913289506419172,26.601891851748086,28.43477626249143,30.21326662378147,28.266257967091974,32.77757934587147,34.692313891853004,34.13576483483746,38.42132160641902,40.966250074089515,43.6787131276565,46.92833735793364,50.79699075985659,51.49895775657838,50.93878367589393,48.08866231578561,44.06419122460475,42.154441722796676,38.204905446981094,38.597090492829366,37.72533906717004,40.05294845870419,39.32933197959866,42.07385882384403,46.2126163232234,44.58206759693012,43.412242994208306,42.3632107096694,43.682953185864406,43.69348972182014,49.104346525645525,47.40919737638842,47.57798849203649,51.819627826149286,51.95538786906087,54.08235011277593,54.04078848165005,57.844983335951646,56.46618008459461,53.16303765097071,57.00096671079926,58.014440176752196,57.58139080624424,58.7476755570371,53.33630339926481,56.72080871991701,60.56307103137021,57.17823720208989,55.40244343629209,60.16564262433503,61.227783301862786,56.59133458641984,57.68547941609121,55.256270028119125,56.932382027706865,55.04410809988459,51.34539135299408,48.033217119392845,44.78198335249102,42.00840760017855,39.09794629802111,38.4460927535973,40.2125211019214,42.01381346381562,46.01048630643064,45.26321054629455,51.4416060880945,50.7704561514572,53.11674023887101,52.52010488232603,54.01712532549423,51.81132970994459,51.47056964226538,48.48063411711358,49.78253491194208,47.49704384824622,45.68945725218589,47.69277264490327,47.757406812848465,47.679125739901856,49.77316328200146,47.328391306683294,49.579429349190754,45.86545293853324,43.48727638753672,38.88680590634126,38.340246257190834,34.21993455015913,36.87303962566185,34.10685416037914,34.43504241542983,37.891350382123875,36.51349878166856,39.670778232391235,37.349018990517514,41.04120199440409,36.21877448310234,38.431485118484154,37.79565550724296,33.37876815321519,33.21098238263796,28.60680476076851,30.091433033198207,26.734683430195272,28.35388058159515,28.839295386904578,29.695732456547347,33.02146231116081,33.98857430351528,37.990627250583714,35.801033019572415,32.812142285005606,29.705793351772872,27.933927808520366,25.876446060446902,23.368025569889788,26.168981513288475,24.220278923651517,28.461359112615696,30.648778220089554,35.59753223732075,34.62545146138907,38.499344973203165,40.378134090248224,41.22058142336192,37.90598129500797,34.89950348757273,32.078831512465655,31.283063914045144,30.182442273594532,33.31201176704172,35.05272364272957,39.75418996953833,38.80350326106265,36.5400649090163,39.54788532886069,37.64503735922441,34.65340865796241,33.17853840971773,32.26413673781687,28.69460927647369,29.10814674096171,27.245846494445864,30.71238029237412,28.22677709940401,30.289064041784975,32.501056918174456,31.80697475469036,32.81429061207613,34.51331140735284,34.63374212278498,35.59535833623241,38.683509352312264,37.79334068312873,42.194304729193135,42.62360931801286,40.25676460184442,42.308124930234314,43.67708106607156,40.94316859740723,37.69545832266389,38.15908456603519,36.533000321741234,40.03614715815739,40.88528239254406,41.504194962970594,41.41073263814588,40.14208479237229,44.66543873630865,45.3697364573133,45.47016264445204,44.85255764592112,40.43590160298673,44.68262627740964,47.14251974532914,44.86736756885053,48.26332891662186,47.48925604870038,52.155871174902146,51.11821627086876,51.19497370771051,50.94192899768614,48.89542177279822,47.17721326384913,44.395683287676164,43.67053342933876,42.72130478688219,37.90974342483227,38.24252888332795,34.65233814056805,33.3353365510207,34.61378493048923,33.079494268375264,29.863822232140055,29.553445685938353,31.124648734069225,27.204022627974872,23.99250538691905,26.854809856139678,27.993580075154043,22.01360290066584,21.92890134282081,23.978123274860227,21.31322435492255,17.629192580190047,20.496682236124727,21.40594587206203,25.80063311786361,27.102473010906042,28.195250415319634,30.522753394564944,35.73126580708751,38.312702218334884,40.771550808680686,41.63072979470495,41.5545506595464,44.49694061622108,42.861535003084086,47.04599312129634,45.420239629938614,39.9807800412151,43.31034437379325,46.416647837919946,42.192407545104665,40.751916687509166,44.551545901746046,43.908358794141435,39.523685399353326,40.31358789854343,36.203167583978264,39.1746807108531,41.54589837376822,39.659580240514686,41.75498263753102,43.111680952444644,41.36668874507951,38.067442395501004,37.93066758541676,38.1778348700244,34.13035903285705,32.60193766673907,33.447382703807044,31.207840719476586,28.30363024137842,31.952776452501226,31.37949293291427,26.598986309931643,27.984767570949654,31.68528103706193,31.477860217192102,35.12921434783916,35.48196170021532,38.996657238314675,36.259190074038514,31.73847622176406,36.23757901180764,36.80228006405862,33.31636678152843,33.49158514712311,38.91936854206007,36.496703624898174,32.24187218700446,35.86350355629881,39.58685916124407,36.83222460375446,33.38368073157082,28.668151123874217,31.781643730189252,27.473193016962956,26.954507694572055,22.338992886917623,23.042737750665786,18.928577702004258,18.52042370799556,21.56874186709128,24.801821629930302,26.406561912417118,27.916217605162455,25.731822303493818,29.582108273007616,26.74434584072173,24.33483865778509,27.04992206066941,27.683100389510006,26.37331906097599,22.923797286029462,22.476631536120035,22.69474907456087,20.71957725176595,17.160547724421907,18.99856108237275,19.593912191889206,20.65605937679713,22.092559908425724,23.32888611758902],[14.445517200452699,16.205680971252363,19.962104077662627,16.950253846282592,22.52622619008078,19.525244983359737,21.901146784826935,24.5385683784785,22.36665846946161,24.616341524821564,26.008901753636554,28.21256442837833,29.933427032673524,27.434221519439696,31.892107921066792,34.10228967487584,33.476587985013126,37.52790363079197,39.8311806517055,42.8662640579935,45.91158863636761,49.96669569599532,50.45964367052055,49.92664208508884,47.29592277508771,43.14217178834924,41.55123540410057,37.60933424582553,38.066105570064245,37.44206410366009,39.24661886745854,39.06617431344307,41.67122578707846,45.6449814002621,44.20590088579178,42.903102399101385,42.27596131593693,43.41274304153786,43.5562310954397,49.2164054320122,47.22293164667686,47.07175333544137,51.405517881701854,51.56501927765256,53.49694662295422,53.51477443827378,57.32899661151363,56.10569383588691,52.97504224632599,56.98945004374652,58.022375183431755,57.757895911346736,58.84803052053661,53.37687786164068,56.81654271523689,60.45554764321635,56.87264413676818,55.106555243536334,59.843561093601174,60.75863514994486,55.94450125516656,56.86619947304754,54.418940673270335,55.817955485944466,54.07367873790583,50.52403149472813,46.83634497286562,43.68469764774252,40.58530424080561,37.6734411193162,36.79808378900187,38.26367142457165,40.34450373638062,44.41782956959996,44.003528937466804,50.195901280925426,49.8349655964717,52.28167540852602,51.91991357931079,53.57842330544586,51.68891606982635,51.555486941125686,48.82904895492695,50.3034983626732,47.884724704514454,45.864179082398515,47.498622374261956,47.66810390939088,47.14879369769441,49.22087024338436,46.47975488298031,48.46590649360583,44.77815027147361,42.59374099228675,38.04836239910618,37.288445381142104,33.203325014531714,36.40659166696101,33.93923585100984,34.739392243803955,38.113871229004246,37.345129834185975,40.26639034405105,38.450510083196164,42.28971228069312,37.621862370273455,40.19957275452607,39.68640257461824,35.39183577189477,35.02005788612367,30.327175508068123,31.254687186320904,27.56152808474039,28.820659970642705,28.680607018286082,29.37339090088247,32.40934715572966,33.236011972889195,36.82105668571787,34.747181818674854,31.62126755487412,28.71668384179853,27.09551336333947,25.45667943941773,23.395095128203632,26.687762252049225,25.529008060387852,29.70472587387925,32.21640751437669,37.13217044221949,36.38748572127553,40.434218386461765,41.9990182733343,42.76896419826249,39.22868679535589,35.96258986303574,33.321446095153206,31.996699671889175,30.448558456264543,33.46418725546717,34.718642352948116,39.31026023603627,38.26952258512483,36.27748294719806,39.36729448857629,37.461482887048625,34.572159441745576,33.31120791441663,32.8041277267283,29.249597412790273,30.191388104951347,28.092770318217898,31.902057204112243,29.29546619401858,30.869792079173134,33.179006331169866,32.24817684392294,33.67534736337537,34.933782890378275,35.53598228343117,36.2314088731465,38.918130908172,37.99035293609231,42.453739982356815,43.05441767378353,40.606279191689275,43.037074520268675,44.336335982319326,41.8829227656593,38.44135448685149,39.06643840522001,37.18693314338711,40.72591640727168,41.58530284938806,42.11544941320362,42.19368329305788,40.57585593131979,45.35336961268609,45.96887761716519,46.349297550121435,45.644179115606015,41.53824437160884,45.921381525477116,48.36205195954625,45.89382384599366,48.92715763993407,47.81876527346461,52.55232713952538,51.42909911121751,51.81782872591617,51.724819201279985,49.866361865472626,48.367542738090215,45.76111969418417,45.2790592932993,44.575509287192496,39.74776665258884,40.39105683457645,37.02447117135055,35.677637068251954,37.345552198170665,35.77677555799663,32.382742496090344,32.36797951793024,34.170021286809316,30.147159010430578,26.90658280520696,30.07911752354243,31.29542137706657,25.249312699343836,25.345590308196154,27.5474884274155,24.768815621764595,21.159956566135012,24.183728984816682,24.954203193265215,29.503893957119352,30.535461432085782,31.648197416644624,34.115813879249565,39.26964108937077,41.96587419433279,44.32857004457297,45.1404753419676,44.92078715335206,47.77945431954351,45.96435253063743,50.12761854788125,48.61898460290378,43.036624717641836,46.21827938972052,49.364461117240516,45.13393697376819,43.52089818532803,47.17756424179443,46.609808325469444,42.22436503561711,42.665021636256185,38.824092489235944,41.63052509384968,44.197341072208836,42.53284810232416,44.52287926460534,46.04133361877812,44.03106439097379,40.77196250104785,40.93391324059065,41.0130969329914,36.834933896145955,35.60920597297869,36.52924156346695,34.19440238793935,31.435440837690198,35.28466913931344,34.672509431008685,29.876246660210274,31.48304820567986,35.23285860980734,35.02270935680254,38.59148087105241,38.76355666728124,42.34714179943548,39.771269862495814,35.106594012643335,39.4842371136415,40.18778481527278,36.711128749945495,36.61818101712589,42.131158649007126,39.79101697249772,35.367676685078386,38.7970638348206,42.66680555131331,39.926626811157206,36.35903717900984,31.597981687865953,34.65984000395241,30.253561029531276,30.128267891582897,25.375902572660625,26.19213968422176,22.04677420317783,21.359557740993612,24.233240566256192,27.353447517990855,28.829443932801357,30.616289112056094,28.078740601145086,31.842779635476717,28.627076312954614,26.767945034756615,29.354924081924217,30.27464609034329,28.533326087870282,25.18754594572351,25.27071498229272,25.239364441438408,22.6811623669571,19.706447437857424,21.991115615797845,22.47304596935727,23.448247577606327,24.787735034472142,26.014415984222506],[17.631314438763894,19.331555466865083,22.752135434254207,19.339968810760404,24.526014162548975,21.08971744271485,22.85433607436111,25.267479356361882,22.41359907046935,24.236581458182638,25.175033907740776,27.587549319406282,29.439466107301236,26.484653206158168,30.711407370416502,33.21178918676709,32.70421729831674,36.48827563642605,38.68033303851851,41.97984364654783,44.862287665285635,49.09262794259861,49.44863391147287,49.04671019588767,46.60700387411626,42.33013532074416,41.02208277194644,37.05818484567147,37.41887482742008,36.91672212113169,38.07769814768345,38.38066604483213,40.73400950959324,44.571421085676924,43.41606984774669,42.10430067019874,41.87729010350454,43.006076610424174,43.374347366641175,49.26001784219429,47.107993709052245,46.55298357696928,50.936013468724774,51.23187040825241,53.029053222503265,53.205414391280804,56.98894086540606,55.824863306781445,52.95734578507609,57.132916285456055,58.06260416926594,57.92514897442229,58.865060187244396,53.36268695016135,56.71595035461415,60.191398007828965,56.47772787158193,54.60893679593111,59.28253458471171,60.16455245781137,55.17048883277299,55.82267607013047,53.289062761025036,54.48198734816859,52.96801170718202,49.52801560639076,45.50629055209359,42.38605480273701,39.05146462350808,36.04579633261923,35.03470632674601,36.160128239275515,38.41380077805039,42.61302412496761,42.4365922337927,48.5729717804518,48.58212612104837,51.02040910659537,50.949242646054,52.8337635851251,51.22876708083675,51.39260296034348,48.85540084068549,50.59535589370879,48.1409739193707,45.83163785300276,47.10165364421726,47.234005963415484,46.33093876311054,48.22164668090297,45.220959089468344,46.883009536232365,43.20411612026539,41.16476595292862,36.73999569085807,35.694235203068175,31.72833242391128,35.408727638358506,33.25431560766867,34.40637133161828,37.81385931312258,37.659029350828156,40.43946043761071,39.171769554506064,43.236317235681064,38.821245001105126,41.72390960299161,41.453620500740136,37.31195159451679,36.62321343419575,31.932019081448797,32.372855667262044,28.356354571094155,29.40423816927933,28.59856033513449,29.289302676141315,31.948432567118555,32.79684270593229,35.82877156709257,33.72756667426637,30.56167182591552,27.852336113706407,26.620718217632888,25.366352287418913,23.69343691039387,27.511561029475,26.961446700915676,31.08139408063824,33.86176684418335,38.64917278501581,38.29411791105862,42.413637786607964,43.7490700786127,44.29840658675028,40.70993870956394,37.17590990699769,34.909755366907184,33.09544048602645,31.193550251688702,33.9669976701604,34.88153478388616,39.28380339668882,38.01328726387197,36.26095474488375,39.329469110068885,37.290072308105344,34.569417614992915,33.38728055885351,33.23381678235007,29.640151086374072,30.99001296448583,28.538811088566987,32.5441789048539,29.710913690068598,30.816991034072647,33.297305727189105,32.2590170467174,34.14169561948812,35.03521119514582,36.2219973819953,36.8409299436022,39.074919165303854,38.3250020886166,42.741327318297,43.667777786159554,41.312493249295855,44.077567309106726,45.43192501591759,43.26459040129726,39.640343995620945,40.30489364564833,38.124791882663054,41.536614543810515,42.282259549467916,42.60970193225026,42.738768600172605,40.734218432296714,45.67663652751335,46.339081933507266,46.989464803023736,46.37071651305191,42.53937793120678,47.12470024208669,49.61058138255646,47.00858019758136,49.64189421757652,48.207017511608555,53.03450201525139,51.940747714830245,52.63655215045001,52.75268139342194,51.01911196221671,49.79863740987387,47.36471079125215,47.10094312918651,46.6730158144166,41.859527537197714,42.7068139330742,39.56520203688251,38.042870492289886,40.0498244288072,38.30954139603408,34.82122490767542,35.20610958352513,37.08780278566536,32.904042564686314,29.880404471064487,33.257497122997634,34.32247578209379,28.287187829682587,28.661514365296817,30.895661823795,27.875672646501236,24.497843682417738,27.75607505862744,28.54022678471001,33.09440920355026,34.18801742826267,35.16487756074542,37.663498112222676,42.81398965439367,45.59452482372324,47.88285805034794,48.52260854010081,48.17625616093135,50.90959123067486,48.88201893582634,53.095146189326194,51.77756162317237,46.07050884495649,49.07893188122059,52.36945737259127,48.20668757172622,46.398515488468355,49.92592307369035,49.57646023473747,45.214306481997326,45.27288880081862,41.60327703715682,44.09539858164534,46.78755679061948,45.24526128026524,47.029556197600606,48.60871131230354,46.313774499518814,43.20541291334036,43.583613252190894,43.38852057471886,39.138807456921526,38.26839258743102,39.13442174357944,36.660079215755495,34.150324055168866,38.18220235455406,37.43638919206934,32.633878257786115,34.5753836905543,38.36913430301502,38.25561865953247,41.73550397056173,41.75119069575395,45.46286880267359,43.08303928356422,38.32629747645752,42.61765966023766,43.53821581735025,40.107215443039685,39.810591179394464,45.430683635040914,43.274102726618835,38.73269547446464,41.979926626936816,46.0240668198213,43.39387036723908,39.74873697764147,34.967445322584105,38.11427784134705,33.70229062312359,33.76168955870283,28.890945970085127,29.588979432801384,25.323975053167718,24.699615076547005,27.39788126536007,30.513114971917435,31.77573052698507,33.60887706681884,30.66357573716477,34.243387162498045,30.668583908277842,29.15469966998517,31.442639368586647,32.53184770484868,30.289309850546687,27.219990346974864,27.715661265974514,27.299579098283335,24.338969618803574,22.05959323803921,24.60412460391296,24.831645388990427,25.654964597069252,26.87839779550896,28.0536060147455],[21.17593739594503,22.47157739972639,25.38613845647714,21.32711864907434,26.175743592898886,23.087706229460984,24.257064557102712,26.862035721485153,23.57100151980071,24.61327947143407,25.40084724104284,28.288025810022575,29.6774538454146,26.180378407355484,30.376207845269935,33.08028107191479,32.25641484782511,35.70181329590648,37.410238657814475,41.02878703538816,43.58958201599794,47.94123942591694,47.99970904208654,47.51460836353966,45.36967752864712,41.041814271060275,40.13110932474823,36.32069738354764,36.93515792406064,36.86819006169534,37.64150650076832,38.57054634252313,40.89657834703187,44.42235217116893,43.33657637199254,41.74391392806489,41.968695594215184,42.6546164777291,43.030439038629616,49.06448371700679,46.5072998232897,45.7352699506883,50.1796740772643,50.366391611691014,51.872022338562985,52.00316491366778,55.782765510012766,54.8905014759318,52.14916295129603,56.44460967186781,57.50789822241271,57.58277796428956,58.523206184782374,53.011870272857244,56.53943811970479,59.71958064665091,55.78429361742977,54.092664913504045,58.72166918480434,59.30875408759358,54.207965752100804,54.806763569011714,52.38551774355598,53.19083357504353,51.7290682045491,48.543353957775764,44.164340912700084,41.30181422650214,37.58914572631908,34.79150362739632,33.44777655451253,34.26928727522198,36.91794395234987,41.03267920769339,41.335844208808915,47.47209936597945,47.69593120149936,50.3504689398155,50.4259317350127,52.343646029256256,51.11904953391775,51.35644146849492,49.21913611039147,50.97009908521814,48.30835185809974,45.93702730895006,46.81810702367395,47.246022548491496,45.84811749961822,47.91130368968792,44.62667954970025,46.083380940954534,42.54095318425652,40.8291089174471,36.486648603581955,35.38366123584104,31.472143775517125,35.68640864767975,33.892414883925504,35.66270769450879,38.65261123576407,39.05587874443787,41.38231150355139,40.547291948522464,44.51385448659403,40.23151430214068,43.433917710243826,43.127890101516215,39.14727008783491,38.44265903622742,33.71317459016583,33.585510239660735,29.44923050033936,29.937091123855545,28.61965760899086,28.922315655852906,31.255164876760443,31.745960024842724,34.37542583270318,32.63494198915908,29.326532895380907,26.979032663705066,25.717207116525113,25.029020883336344,23.997923421690704,27.98991951990248,28.34756467259999,32.20912124810556,35.22437636576025,39.95175027739581,39.63382503886695,43.92015511666463,44.860881946877946,45.48987042648433,41.5840398147899,37.91459374177083,35.6927760767325,33.42150292479927,31.08411317173041,33.75427739418526,34.01475113414726,38.245064964231794,37.05337578550647,35.6630366515501,38.830745578814664,36.99949176647544,34.39604578439589,33.63160616043863,33.936737118981036,30.597058882804607,32.51245051239031,30.1675112452448,34.51127846416144,31.935780453358397,32.50347995085922,34.80138867287702,33.37752607642282,35.49836730407819,35.84278266446042,37.28200909029991,37.396905145555515,39.24607488971818,38.231346005415325,42.70981448195594,43.615796767218626,41.06501668859153,44.17547943239068,45.32692877467797,43.467862530857445,39.73128584981179,40.63931933654846,38.324626487218424,41.84545479894657,42.71823726823514,43.089824024319604,43.52935402441025,41.30583640641651,46.48500272641027,46.86529646358909,47.7743749582351,46.87274525943497,43.45600848247572,47.99588715712567,50.3501206221165,47.55027589461747,49.829830588792305,48.09346005205161,52.872179319503395,51.58774751972549,52.58282597518409,52.805164353640535,51.33672435073892,50.294976009692874,48.06999127432708,48.061738726037184,47.844360652839995,43.07577680162646,44.284192203410306,41.397624740478356,40.01724977900452,42.38251166997689,40.78826597807848,37.11786007531501,37.63216372637975,39.84419397354042,35.700590123711905,32.44767063063464,36.130844370637824,37.51289432014761,31.401752649318833,31.8078560177467,34.301429662010996,31.37663154732191,27.88662457036126,31.2078599160439,31.70126235122778,36.552447685230064,37.08029592116703,38.15325324572724,40.88992121586862,45.916982968206945,48.88375731143698,51.01162558409652,51.68546899250125,51.146864146320276,53.819578487599614,51.64920936903173,55.741712903618186,54.4803902926367,48.639665905248556,51.50258101040903,54.71499051152057,50.51178689426125,48.5644103436944,51.9051987717846,51.52418934835409,47.18824226442222,46.930118753885736,43.639220348477906,46.08419086254688,48.998460839436206,47.78860842083399,49.577447400665314,51.430971669846556,48.936997416053224,45.75475322848432,46.519159871896164,46.32849142012752,41.925253546840544,41.25164014626631,42.37528417912554,39.92787169979825,37.4024749399768,41.60339840487239,41.007906427821354,36.234498423647835,38.15660561138799,42.00198075985428,41.717457881217285,45.09484781859639,44.8840805201207,48.569441991748235,46.3425714576911,41.39560822595094,45.49667982018495,46.48216319692547,43.04912896102629,42.425451047662115,48.07250285929976,45.95636198594006,41.23253517893272,44.24471864821806,48.392655001858145,45.75497474940839,41.98848980856269,37.20283328117753,40.216228146833885,35.74709447915543,36.28565034364902,31.317611259187053,32.21245459441586,28.05685545948343,27.02176651610303,29.500996307403426,32.39116573620372,33.550472023636175,35.735168472308565,32.602192154686556,36.11365160017617,32.31384994889246,31.472539415139327,33.823504141590405,35.26159838437519,32.86503986463849,29.720752047699108,30.71990730808943,30.38377907375327,26.9099703976327,24.970685937126795,27.95772674838571,28.391466188701077,29.242206032774106,30.420128032558235,31.627170885548914],[21.949230861550785,23.250315159362994,25.823473458783198,21.861309428438556,26.078400905753874,22.13738091596977,22.737740185194863,24.738363139932083,20.92067538863772,21.833963732808108,22.043581626633873,24.808647121954913,26.6412020287313,23.04416131794951,26.814804773696274,29.69053486224124,29.336355799529674,32.63709291281815,34.66902412965953,38.283219557174256,40.92084290809423,45.354103437179056,45.556309359647564,45.40478718002319,43.22818928004188,38.81991793385081,37.9141834714106,33.96350432862216,34.13869700665677,33.84734711666374,34.04484163808337,35.11025656559623,37.110847568198466,40.645970729453275,39.8761932066366,38.52718059311362,38.92356786124983,39.99817886356539,40.71900465917184,46.87558105276066,44.5494334666019,43.36107913480609,47.760606478835356,48.30181825700285,49.92612065083616,50.401609639931166,54.08933527600618,52.95130556994728,50.550663501454515,54.93151780323079,55.62956597384625,55.67130734509562,56.34897021245763,50.851234131314534,54.0191462269037,57.222845711814166,53.35684275486001,51.32958747211267,55.87053670432765,56.719990928523146,51.49932458000831,51.74938600585225,49.10966249671835,50.02359404818325,48.84822151948865,45.57532364636325,41.139758389444886,38.077945591799576,34.47926612204564,31.365414539191303,30.204588403640393,30.884015103542907,33.3053153986936,37.632975753791534,37.76161327174546,43.77660361160398,44.27335113969597,46.700985418754115,47.024368150717216,49.20698259689603,48.04958065179221,48.652541183024475,46.461796523852755,48.586734627159906,46.10031299812357,43.364345039869924,44.05090943764684,44.149304456539795,42.665631245856744,44.315148146629596,40.96403244722247,42.18572372901963,38.574428659742914,36.80700921801258,32.595415131025824,31.225779003448608,27.46636904039112,31.833034457476618,30.23499666668462,32.09256481285339,35.26162100772689,36.12550439745375,38.49861349824624,38.15627199347285,42.459803809137384,38.54663331501799,41.97450521420037,42.106849804246124,38.325727396763895,37.120442199429796,32.53970521559269,32.09818539927767,27.684525953607377,28.325076388544257,26.45651306134674,27.16640917746976,29.133952576043253,30.09504987538315,32.18646420691768,29.99729286241155,26.880729914989185,24.521920607798357,24.047575371654975,23.409646257243473,22.420472527771622,26.94011490950537,27.415498787366115,31.28506013105642,34.44956530486109,38.89653578337003,39.256023565261415,43.423342589416166,44.33531979820338,44.46351132830929,40.87669404000762,36.94491121928238,35.440908728209756,32.85320311454095,30.474578606285597,32.714972612807436,33.19890534883344,37.18493523060885,35.47247982285768,34.08849965199889,37.019044750411155,34.7627475274588,32.38083209250512,31.340554166927312,31.77988420504801,28.274077737982047,30.32636998537333,27.510896005471235,31.83313074071875,29.008821373164274,29.17015504653401,31.665344509340663,30.330947272206974,32.86820528664652,33.061231645355804,35.138381626321085,35.57822662700037,37.021924070765174,36.61504423270363,40.84900677392327,42.342381571034295,40.270683106688644,43.516513475839304,45.037628134949145,43.375315926419745,39.49665181997212,40.13654272827636,37.463313915232476,40.53997217691457,41.05676815325825,41.038797037293506,41.26942998539427,38.681762790697306,43.834281687249415,44.515411533297105,45.60331956651831,45.124346569483365,41.81860939546176,46.67630282290697,49.21616799637484,46.43234091981863,48.356489322846585,46.412429555161644,51.353210395119234,50.38014108276869,51.5564218919768,52.043682126499206,50.50065674354031,49.794885602983285,47.684420269079496,47.80036790162022,47.89216785482241,43.17830445817555,44.360406714376495,41.699374358028216,39.85488205442216,42.50295719715488,40.4959378022198,36.863565929199346,38.00943441715424,40.076635752780746,35.67826097927626,33.0734407394307,36.852740035588674,37.73389120507264,31.786258694718356,32.70557776634319,35.1133443794942,31.75425447949216,28.795256855094607,32.57471763276586,33.222726323580886,37.905512471335584,38.95873334749875,39.537646235824134,42.17257636884182,47.23102994182114,50.330764300042,52.31234689825771,52.52407203544518,51.81301874281028,54.23671913040352,51.74632608159843,55.99736886593025,55.10749474055063,49.15318784946525,51.75311342885201,55.32057515547457,51.347306264696435,49.1260018301321,52.35053117286841,52.507415629314934,48.240781247262355,47.49302835614924,44.185007744709345,46.00338149232406,48.92136213085004,47.68669365062887,49.0781000979751,50.85623863338523,48.01869135579397,45.16976431284513,46.07835942905687,45.439986899060656,41.04648753139093,40.86749726244063,41.799287554489,39.16844858634158,37.06926395626457,41.47666889576501,40.66894270022046,35.95724252915715,38.39887460237857,42.28590784784569,42.19578213206389,45.390947509518696,44.96833376661307,48.880280043805335,47.00694950391132,42.00515822336907,46.00703107909005,47.41618240871512,44.12116906942345,43.30908843916264,49.12766678187607,47.4650642834207,42.66410845432214,45.451381477604905,49.889224442111484,47.60932344374256,43.81532121912004,39.04194052890856,42.50867722895647,38.20631571190341,38.58841440718474,33.4267408080973,33.72161384651184,29.270521723400996,28.885692144177536,31.137647350375794,34.26721377497037,34.99304926321798,36.78151321870613,33.06864757819161,36.201277133259346,32.05726521107121,31.24828057594085,32.990910549460956,34.45992243511001,31.45853798527987,28.848407468678467,30.196081879237596,29.29542551161304,25.56626498786672,24.546867185121133,27.6634731104151,27.746817838561178,28.412747505678773,29.46772398744007,30.65411482491737],[25.836023065159903,27.31761303974784,30.24071587923364,26.173452092570734,30.769255540152496,27.355667182978387,28.118916233715822,30.362006198188656,26.58666768950936,27.251352302528428,27.43708220466811,30.357634163321926,31.980483835649785,28.10888600349129,31.8002957507623,34.79747449533482,34.20349145373502,37.212531941805324,38.73418268661291,42.63127719302712,44.92366877531997,49.4402236217965,49.30358253666308,48.98320708794337,47.137440429805864,42.729164108433395,42.204121572309056,38.451475522670506,38.919671393116765,38.96416733658169,38.875161482294224,40.36204907775844,42.273677986190634,45.59745059941964,44.935526646023774,43.40699015733138,44.098694456087614,44.816649778548005,45.46005239849575,51.662366546785584,48.96435953037051,47.72449080648949,52.166080218007956,52.51207895355297,53.82069617861455,54.123884594352475,57.82389506684507,57.038015626010065,54.62938902629907,59.06111055170049,60.01247935067862,60.23027375811113,60.992465707275315,55.501126074431696,58.87907768628586,61.84626083152247,57.79542943763449,55.986605197916546,60.48592810262023,61.03606931896369,55.757512903040656,55.98668746208928,53.466891400568656,53.9812764700626,52.864113875217086,49.86983166945166,45.097497051181925,42.329517883069876,38.35772903906227,35.48701633419843,33.97255865531596,34.20576427120117,37.078507921947505,41.30918679133935,41.959236392389826,47.89611006190477,48.66297024309161,51.239194404643484,51.72245124692105,53.92741622818571,53.05517125741659,53.66356629430564,51.73161995414084,53.78018792465105,51.133606632754315,48.46118965385632,48.918121808320294,49.252514116894496,47.425450621609215,49.17067879702356,45.6006885564312,46.555165443051735,43.06833631224114,41.5610248126734,37.50171993823098,35.97587740008643,32.37953083790625,37.07094303402437,35.69019876946757,37.691857817257244,40.8051022908719,41.82499310417189,44.06987444505806,43.78498764537025,47.97257050994764,43.97862037128659,47.39281573332683,47.322796363019776,43.47739919692611,42.50378284764198,37.850027615791056,37.40089993325443,33.06665501880114,33.41833517129387,31.490014964575725,31.799714466580223,33.63326164918199,34.11630117542818,35.97292384940065,34.26725323634905,31.013047130637165,29.019365134713468,28.274947561569864,28.04705452930787,27.424050098388687,31.75598285486157,32.51768024821508,36.29625151417657,39.456311552098704,44.02405722540476,44.02714289352088,48.314759592176706,49.10402427833727,49.53184983812446,45.65305077045523,41.80765997267665,39.920318587182464,37.30263012657312,34.703138163748896,37.09069414618113,36.9646808351456,40.895567797654095,39.499478070213016,38.42285385838306,41.50369503001061,39.55586348085219,37.19980752439368,36.50738021371502,37.13204716532717,33.78507753267591,35.95021633040045,33.2349123380083,37.56189822012416,34.64153306652762,34.83416392829665,37.37574476307902,35.989144955932936,38.542294628522136,38.591044759920756,40.617273500151654,40.73393795186154,42.09835446507925,41.31290694762853,45.66294012026178,46.889924858160285,44.45389863473351,47.840010599102754,49.00576552241374,47.422820933435126,43.58061616247522,44.52447967979789,41.98308600527102,45.332230197377385,46.07197882165698,46.21826608664593,46.659700390297104,44.062732667063436,49.311141319459956,49.794759999480426,50.956509211156906,50.19732810686631,47.0541153648509,51.74879505865436,54.1356817260246,51.24841373005635,53.12973584107815,51.0815054984056,55.903099532049964,54.656909526518874,55.953895943320134,56.37081011553947,55.03604125072307,54.24664394684277,52.18189929502184,52.341484646097534,52.32209930404682,47.59509080423228,48.9150221672317,46.16636908453506,44.65814075990858,47.17045993222103,45.42669259268734,41.76043918607735,42.50106591753678,44.663413284623054,40.41974904964443,37.375814059315964,41.062595430725196,42.23524172687293,36.182453449191385,36.702843313307085,39.08102881436289,35.9879166084612,32.67407438075442,36.00750435934111,36.64766258577328,41.35625075628115,42.09768615551975,43.157069011236274,45.81437762522242,50.888384281730225,53.7765417588712,55.97363795267775,56.58606564014137,56.06333981523021,58.68630615948837,56.433555305522155,60.5847579335097,59.42193494818229,53.5550334964184,56.34147230009884,59.64516076932218,55.488400077468356,53.464342746792255,56.742496160320435,56.4736963411213,52.15756916527106,51.72378635575777,48.51555508655345,50.758877838805915,53.70815196078562,52.508724514418205,54.13247877978957,55.929034365266084,53.27664137931465,50.266816818172316,51.05663151277157,50.63012641693231,46.25932018260063,45.79885192071971,46.74406906056764,44.17434214061368,41.87806031736213,46.1002118114504,45.30077303998993,40.52251742934408,42.68877727206309,46.51403901030256,46.40442362567584,49.786440833365816,49.589641382387605,53.36100637804901,51.17498028395087,46.2701880072268,50.387947079038646,51.45278808353227,48.0385864670175,47.4197184834621,53.09489848002531,51.017180383967144,46.29852256784365,49.27833030568563,53.4564790896072,50.82562551612342,47.05681810895704,42.272714912155315,45.238641415988745,40.74734317190745,41.31068498865769,36.380082313635405,37.27341964494534,33.07237886882194,32.094250535713364,34.55829731473566,37.42539095039466,38.54022611411274,40.72929282597203,37.43740090382979,40.82271240056232,36.84764017350987,36.117266997430434,38.19853471261105,39.63281423675782,36.88711998686764,34.059388901838396,35.16280930367637,34.470687722667016,30.952429430467067,29.45856969858158,32.36148960290617,32.450584389634635,33.11903797511509,34.17507112433871,35.23653035690782],[22.05552859693841,23.986521132398263,27.525348971327485,24.109442029091127,29.210186826502678,25.614154937522226,27.108004417519805,29.281019706220317,26.017977946244827,27.549638632323102,28.01283336677015,30.478039182669175,32.55610913307158,29.23670916166242,33.11558536216604,35.89029256535989,35.54199650751146,39.00085729661297,41.01103561053713,44.586061667310055,47.24364428000255,51.63525802942189,51.79998267310355,51.487145989185464,49.303242825694454,44.93729565092495,43.95990008860013,40.03347857585182,40.32613950001599,39.93475405692236,40.40085674212771,41.16680664073498,43.184785908160954,46.88909171636878,46.082577124197186,44.80927887242113,44.96214592132759,46.09631733143181,46.65609047549413,52.70338786592162,50.38461576458493,49.48037698781511,53.89292972193006,54.27594938179794,55.88941678162431,56.15657058100503,59.90554209754859,58.87277636207886,56.225079443629554,60.52234160540277,61.42012186010971,61.40843889285652,62.23831013438943,56.72884606494862,60.01226060046882,63.318423167993245,59.48282283796944,57.544691101572326,62.13565049363118,62.959761295509814,57.80570961518625,58.17774013154451,55.565830751334346,56.50191819258368,55.25050310299954,51.969602322744336,47.583830924004175,44.54463668895739,40.94133753429183,37.87224285727132,36.68154100593928,37.314435018713034,39.80760090967202,44.12729633108417,44.269046110738586,50.2776991978025,50.74537982233036,53.138508355105714,53.40610345611246,55.529049280833256,54.20644945537293,54.65547181527866,52.27560645216288,54.24058469747341,51.77265020453265,49.236509694832314,50.17516709719963,50.25097177867568,48.98912242795152,50.635753993302465,47.378514472758475,48.622304379728625,44.96571170685017,43.07867594711709,38.861656755707706,37.43192605477514,33.700622058302855,37.812905437924705,35.975500722955545,37.27489014142529,40.866583170704885,41.182824933811986,43.94598601228114,43.080101453936805,47.32626760734423,43.09071740479932,46.13327127706709,46.002786101633895,41.925614076249296,41.080683239932554,36.42276121362122,36.652603074973534,32.47480162758226,33.3914017320849,32.109430136998085,32.747042401185126,35.05032283116618,35.81786589844591,38.28732876928354,36.2641259981127,33.07378696457716,30.641193986966847,29.722146575422556,28.868274971769086,27.550444977817534,31.639200866530903,31.434591953715053,35.50506010865191,38.394968615025455,43.11092858912132,42.90683201621075,47.05327595600004,48.28310317191839,48.750296906185106,45.12547548670783,41.47408954234103,39.34725417266265,37.27845144238487,35.12757227934536,37.760747349570046,38.28316621802815,42.50770658264249,41.14640886548161,39.658248640175955,42.71835332374758,40.625271877455134,38.06530568390886,36.97317676273749,37.07650999928151,33.45896330963889,35.00059827831931,32.22906245646338,36.20446404045187,32.98833027510772,33.86277103716144,36.61345937977328,35.63768669590674,37.87318163651718,38.55972999211771,40.194297293543315,40.79127165905885,42.67842945751811,42.034137934074856,46.407121757348854,47.518382256399484,45.15721222775145,48.15184637690857,49.444988035946984,47.465494154893754,43.76376100029981,44.52167231174789,42.203058876610775,45.565988992132915,46.25724713151912,46.44652623592773,46.59321822684974,44.30185979725146,49.31950810807585,50.058014840830474,50.89666752291243,50.35164363359097,46.71098739690501,51.39893904169489,53.89356189240374,51.20966932450688,53.57784665983448,51.90444698824372,56.764081156278145,55.64338294182964,56.567499326362885,56.799103387579514,55.18562095976216,54.10829525294907,51.77774529116742,51.62516173718458,51.29096812231692,46.49089055067238,47.42667989584852,44.334513559747585,42.793141173932206,44.83400119731798,43.03366759841309,39.56364590516745,39.99682607052501,41.821746103035075,37.60857648253524,34.659695389450654,37.9630683372694,38.89741705300674,32.91939599293758,33.256983900350356,35.33306883983315,32.262425424820876,28.964500584394944,32.04319971942127,32.98392258553983,37.35276368903569,38.59694290665901,39.71119665146514,42.1039898058854,47.299306398453055,49.89927196190919,52.34132732711386,53.058694851190936,52.82267403953784,55.584695274757266,53.59354544016946,57.83710337557968,56.503817537436355,50.834136873468424,53.85864567793743,57.14764875895113,52.97276756520767,51.18847156774586,54.708858621418294,54.316331521230936,49.951351626046616,50.01403490795436,46.391537261764704,48.859191460547876,51.55759480591523,49.98689415305912,51.70451237556798,53.196167279554686,50.860711408170104,47.86050647861705,48.1631135943784,47.83374455583485,43.64746939741065,42.84517283526767,43.51994128841494,40.96135217337603,38.60104646105927,42.5506216140816,41.60731853459642,36.79499575658146,38.85582323139538,42.58483035075494,42.64522285702242,46.19427011360809,46.3324641203965,50.0649277947197,47.5972751761001,42.955915575205964,47.31457397845929,48.174742625813195,44.73003835799879,44.54969533718381,50.130011479838814,47.86333167425346,43.39069174558251,46.70208561100461,50.66505460405018,47.924634052111884,44.30923374351617,39.535076801861834,42.48203757205668,37.99723248815442,38.07908849441235,33.350199523073435,34.23008801263929,30.021298526909103,29.282653903277403,32.0482952743386,35.07199375380217,36.436656296350606,38.36710896360164,35.44387059784015,39.00378740542845,35.35068947081632,33.89336897673283,36.04283213838917,37.07804354851917,34.624775592044195,31.780189453296433,32.242811377262875,31.562938519065693,28.679626637233582,26.643719425113876,28.993881444542527,28.873407396065772,29.5171490962148,30.618111346655272,31.605971142015978],[22.73127852097378,24.409254240551757,27.868879540996677,24.18572869429367,29.45133856931992,26.556200805375475,28.136756093718322,30.751094432811318,27.669716219393806,28.966760234419663,29.753777302290132,32.488385818253235,34.067738799243614,30.639141824146378,34.79084797419868,37.50734913549126,36.73276824298087,40.175221166733564,41.82387947272292,45.48073210540501,47.98986360462163,52.34840477734487,52.33530293103906,51.77785985109558,49.700037078908665,45.38785053094349,44.522928569516495,40.74868528726149,41.40780414116672,41.31400746476005,42.06170774779036,42.94399040668679,45.20108162560772,48.782975681985214,47.757867743829955,46.2124956054918,46.39761514440142,47.1101398736036,47.44012081068481,53.43745066136096,50.84381740882661,50.15076096414449,54.600715809400654,54.713107262023954,56.1604755858439,56.18948101419337,59.98630566415878,59.1950395162359,56.368633479210644,60.634073144370845,61.81192784018832,61.88895820401222,62.89401416843299,57.38394610806221,60.963479968815975,64.15124233715522,60.204214150418025,58.557716989431654,63.1908586883024,63.738701281308856,58.64484441226944,59.249748232603835,56.832420659464816,57.58113148410248,56.13766978791215,52.99419694223205,48.558695486017804,45.73494455460345,41.95839874284285,39.172860728322085,37.77284779749359,38.44627013412852,41.18772026001113,45.322376843648634,45.71316881379146,51.81340409082458,52.1302581593081,54.760228100687215,54.883550745370385,56.819920591017976,55.57592468890568,55.790207293477344,53.595019002727476,55.30134002018766,52.64580622086115,50.34011069586581,51.27849116421708,51.68726529381991,50.32251978264844,52.33182448508471,49.03527777191465,50.404665941035255,46.845117746144716,45.10901790875926,40.81157044783652,39.584661183951525,35.741955111959385,39.93010389795714,38.08653408978968,39.60121744978313,42.85156426214863,43.07081698732871,45.596069994152444,44.56941525399855,48.52991901609149,44.119499970538605,47.128657219462546,46.6986858197852,42.580800342124775,42.055018982024045,37.31106107442286,37.50735126047412,33.486077302779236,34.093689960811325,32.98544344048323,33.243160961412265,35.65419273554963,36.022469831610834,38.702372675875495,37.074485973936135,33.738879311023375,31.430130710642704,30.035505572967534,29.329774245276447,28.20993686399137,31.99769508824018,32.053278425039785,35.98398115688072,38.8498322928462,43.69054468193518,43.07780925112444,47.34216741396593,48.43008593784965,49.242478542208865,45.312916810780855,41.7965719384577,39.2598122023479,37.24167616118254,34.99352736477364,37.828987747804014,38.01349391767893,42.30530193419014,41.29776837798223,39.92178837766803,43.14469732133049,41.39919974396104,38.7478466880187,37.9788374789796,38.16138518549681,34.76779076302801,36.44521658897796,34.058164224553124,38.20095968093618,35.34292467563365,36.23092651408841,38.71929291661123,37.499494898639625,39.536541929966255,40.095856782800674,41.3948697659251,41.58629741814163,43.591161661045966,42.47024184956647,47.0000116741765,47.72474207512501,45.01451196826648,48.02152196955329,49.011837965125856,47.025078458213336,43.39559685150505,44.39520248714105,42.265991521738314,45.92422834704729,46.88428275127797,47.34231771329581,47.743913479586176,45.62237404213182,50.739593888559035,51.16053901611664,51.97389074071292,51.04392515387086,47.49822644769166,51.94615740017901,54.26344342674627,51.50745503228346,53.96967397725339,52.334147796756675,57.05760135588864,55.676883909413185,56.579446143119974,56.67848296980886,55.20853816268639,53.987428937444975,51.670525223395664,51.53519464258489,51.09059548678139,46.297295549572254,47.385112257618644,44.27418995365634,43.08770842775759,45.09766100607386,43.63262716835694,40.07464494950137,40.17066087567635,42.22947217378883,38.22037047084194,34.78425261964839,38.148779447783944,39.553816295463726,33.47278276116527,33.509028328719324,35.76710890886794,33.04568042758399,29.382322950191263,32.19725681165267,32.87399115637665,37.48325478532729,38.10087735541004,39.54504648540798,42.11331858133457,47.199899974413476,49.821577243770285,52.24720893306139,53.257877412625874,53.02373880628898,55.90076162826031,54.04432066616351,58.115848260443755,56.58165174107749,50.93764093587013,54.04552889018233,57.06630148556281,52.74849197011493,51.07691890019024,54.5749887486283,53.84240558822299,49.46380105701873,49.693510309264994,46.25529026863653,49.07867361869357,51.861793635495836,50.46636531346155,52.43514487430999,54.11000793388096,51.90758700013846,48.66206481526045,49.06633736261369,49.03950685398159,44.77887345281437,43.75759628789041,44.70380111006147,42.29758346324609,39.652302128069344,43.549883142421926,42.85326163726995,38.04389484438719,39.73649969193868,43.45585705871365,43.28013723577078,46.86675955234079,47.009071149531046,50.569636382563594,47.97570399288001,43.282923325992904,47.584921446085694,48.214862168835104,44.70020152036201,44.47460716868215,49.93943504532844,47.43061425354441,42.93983352162898,46.2622302633964,50.08101725609205,47.13873812447722,43.50341573790913,38.74982937683369,41.356158041495796,36.78258005883525,37.16503995141073,32.540783687446,33.85336896902947,29.912246428958973,28.618080634370884,31.395779596725184,34.15568881428933,35.72452864955406,38.01653803188911,35.39123475134802,39.12462322290285,35.62118448486868,34.43670408923938,36.982111302251845,38.16047535620259,36.04672007953675,32.833291121907514,33.32224937286738,33.070619863025286,30.10088106281607,27.661937299309713,30.14857115150567,30.412877259497176,31.213752256701927,32.38818199709561,33.43792105720748],[18.111259086620777,20.177091318248504,24.22267931755332,21.356615075943083,27.041043227388116,24.165746236838096,26.516039342063948,29.08188546109546,26.716117607425964,28.82810361539862,29.975012438146987,32.235797369732516,34.10223503686499,31.331706033821973,35.65484305558169,38.05731062110951,37.4631966761102,41.338525756682444,43.45068902720776,46.709691207445175,49.58596228985569,53.756577409254064,54.072501610690296,53.50994578445297,51.068348263471755,46.85338740281043,45.49893320794407,41.60080272215873,42.1111147609792,41.60116965278552,43.02542149304571,43.133536077963434,45.5588262274697,49.47681698695821,48.229929115462376,46.91379815623542,46.50697563562956,47.58281656661846,47.78029195541424,53.53430966772314,51.36001358460971,51.07384544435939,55.45412987594694,55.578625367634906,57.34747415321987,57.323026414123674,61.14719923284486,60.09445678689566,57.007778980070555,61.08686826645734,62.21138251924522,62.04050977861127,63.13210817792152,57.64374469067978,61.13125608413943,64.66154928482018,60.97114936338688,59.233936670933154,63.946413507171776,64.76029414160881,59.85146459676261,60.659132754463215,58.193820190693636,59.38766248705084,57.76255662074695,54.336115544001814,50.37653015188925,47.311082912143235,43.96397471246526,41.047142640736716,39.98851412748042,41.11926607626902,43.45062668599499,47.60293900426211,47.46008011726501,53.615723171664264,53.53723503524926,56.00118919706032,55.83378749774225,57.614760442242826,55.892394725421795,55.87549662974112,53.242616116470266,54.78785974356677,52.323548084635824,50.23255560935506,51.6961596651569,51.88585757672231,51.1426214957852,53.12025225600951,50.19954944288671,51.93180237099609,48.24475863866045,46.15297582686883,41.70626492864834,40.688101539801416,36.71647381764558,40.223009905224124,37.915745826179986,38.73899719787135,42.30390425838759,41.72935347655805,44.696473021218544,43.013486924628126,46.91384861035098,42.26627850130563,44.83251515723024,44.290583921339255,39.97121375532964,39.647308096970185,34.961886893802934,35.88530269828134,32.15602632144895,33.31180449429226,32.96270829254483,33.52476055084159,36.40577214645352,37.04993532053916,40.37527618156406,38.459724107120486,35.240927574179366,32.52227990378469,30.934908175430653,29.581685521187296,27.766463350949994,31.13123689429819,30.14806234000421,34.289877062722425,36.80124969853024,41.74276935582275,40.87243533229365,44.94125703019359,46.4827381689785,47.358934228026875,43.72473469311755,40.48061608991744,37.698363121404796,36.32792069885522,34.623003989679454,37.67456523217025,38.57149984429954,43.1176476102346,42.169226208718165,40.36410354891891,43.5239085327884,41.68228027059988,38.84104988228249,37.69715436627169,37.32295681238954,33.75961714487043,34.76024140522462,32.492064603520454,36.229485693082154,33.29378816728009,34.8739264549325,37.41059823477425,36.56436161374391,38.15467306360052,39.3533491497923,40.12253464653853,40.75842061091504,43.322529013866806,42.31496864530396,46.82177974978355,47.378862642449185,44.774324721988805,47.30921164705722,48.433310304319775,46.03133755587321,42.60322058414466,43.38231441649596,41.53627312685054,45.17548839300145,46.096513550509144,46.63346531205431,46.75439359238434,45.030601838994,49.85768756196078,50.481961930226745,50.929302094671016,50.18171670868364,46.14792260743539,50.50720744903383,52.90164666280328,50.38894783339457,53.369015823010855,52.167551030809086,56.8775507424041,55.63815306535028,56.11738459298579,56.006734002347315,54.24846666435662,52.71780479369836,50.131697686287396,49.65857681385873,48.87612758113717,44.05337632802235,44.7196433376199,41.27421035692845,40.09108891038372,41.5800568922286,40.11282124305031,36.78928691335915,36.5198927491243,38.23446693388291,34.32949549484999,30.970944788576045,33.902879033429365,35.123911641431924,29.164007818896017,28.965408297131532,30.93269839400163,28.328599729527046,24.64688077009323,27.150886893477583,28.08856154036651,32.37035289368799,33.44011972666131,34.92299759923527,37.23610802848046,42.41089155495034,44.77371285913462,47.40720709053227,48.51909986375777,48.549667777739074,51.55618820845662,49.97455125168382,54.10123638183654,52.39405667099523,46.972168384542144,50.30683373252125,53.285989792002525,48.9690550555125,47.55254329800297,51.27625341589488,50.42447006529416,46.02476590868257,46.76695274242753,42.9249095032294,45.97780776317397,48.4855886354738,46.73884661810521,48.82596272781215,50.21885009217228,48.37460189965507,45.11423293819191,45.04736128369669,45.18748806655372,41.13008547323111,39.7234028132266,40.46416460472876,38.13580415433769,35.371016620703735,38.96113229169841,38.20834016718574,33.41087768475581,34.88514940633873,38.495412948705564,38.42199993226627,42.14916673413402,42.60603480455357,46.08391207796256,43.22424597866629,38.797729807523766,43.302567752340956,43.71538814387628,40.18571740809848,40.39184725551666,45.7279073058014,43.052800817951685,38.82856493645457,42.46376462086806,46.04967125125011,43.03406206296351,39.573833351477,34.863307991014544,37.47685571623261,32.961278873752114,32.811598759780644,28.41487262582264,29.679648280919654,25.79347103107084,24.77162428980585,27.83223890853632,30.737829112569184,32.54026212991538,34.51428095048617,32.33482560062289,36.21386542230678,33.13401315977983,31.213204470572734,33.86477978764753,34.63776996280078,32.96864346841653,29.691623591101298,29.49534584013941,29.401224534108586,27.149721769075725,24.06550452091655,25.95207850345625,26.14511580755154,26.97825182762194,28.218335116432417,29.23701983149926],[17.74277774001598,18.74081890769813,21.807324512615114,17.8744294912632,23.295885988185773,21.335499256780228,23.261867096312887,26.49031870580845,24.144917400285095,25.56110091300285,27.165525317691824,29.973732013927254,30.863338653832354,27.88621309627889,32.59038026291148,34.87489278600985,33.60792763873437,37.42054309426835,39.05763053902605,42.36625823964493,45.06378265120894,49.157213104014374,49.293453557140666,48.465222929677786,46.115340342483,41.985687365216464,40.75219329197904,37.063400607770085,38.05764868204293,38.02738169391617,39.85431145333882,40.213547326374986,43.03524393242429,46.670810607038895,45.06019294474369,43.29678968988964,43.009392441629096,43.419510700053245,43.33665006788175,49.04758231974504,46.50668264198333,46.42710800937795,50.83810816447916,50.6574264706094,52.241524127613104,51.99656947615061,55.858547472101634,55.04208734966532,51.81483036387985,55.88057231784737,57.275182568311635,57.240469790412895,58.501958722652255,53.0233593066329,56.87463891440807,60.1969683599616,56.35842636022458,54.99856060181057,59.74717811664494,60.19670799949353,55.37655662504989,56.49913424780593,54.31902207840286,55.29237621394155,53.38549798409743,50.130695831910074,46.18004546791676,43.40415427613802,39.90980772425462,37.4126994004591,36.136229018295616,37.479674858271615,40.02467231839408,43.855367686666604,43.97259868571623,50.25314134209754,49.86810755467584,52.68887627361728,52.27482174797445,53.76608783947665,52.21048285769288,51.89386854333108,49.63425735280688,50.85927389292437,48.10745424128244,46.27309767642814,47.63852940432072,48.342588410060706,47.38826213195336,49.937667122794075,46.97516583419402,48.959535564742914,45.457795431223424,43.6365257333537,39.067664027579596,38.47327202512491,34.31555830235821,37.95532412791718,35.74359322422741,37.217391630463254,39.937792996345514,39.505843316989605,41.83609345474808,40.20262729003718,43.67898904872816,38.9525318005349,41.74159703112335,40.90882346489136,36.71991315831463,36.64423115123334,31.845983897274152,32.26190400744938,28.635688416949222,29.14368990772813,28.81102201467501,28.842827258396476,31.77890945428727,31.967126399665123,35.53415717317408,34.08167025605485,30.723277861964014,28.168624970796845,26.02619221206981,24.906557924425698,23.50379219129583,26.612243867194326,26.44899287823636,30.267291333749917,32.94895324628092,37.93506686762747,36.82287323175309,41.12464963509812,42.2276078579776,43.39496531854522,39.304067636487794,36.06171603853793,33.04298188491295,31.41176226649265,29.44051920467772,32.60143660858555,33.07715496148302,37.64130427242747,37.00673203920047,35.35934256193296,38.683002681388764,37.269012347500514,34.36677107449604,33.7290010552864,33.64095329357983,30.511991744647094,32.038911438455095,30.408209783925297,34.64700859218118,32.60583100373481,33.7353212783178,35.64395816335371,34.1755524955022,35.59349894298059,36.29760478377861,36.7598109303194,36.66362244779333,39.186189128605285,37.59109862582487,42.257546338344675,42.45973482852886,39.52291296344511,42.217793848606696,43.08012739795317,40.83804332433351,37.37215606152628,38.416755870498825,36.62145215754718,40.53967270760675,41.75992933069152,42.58951291988631,43.15255161443371,41.54119547206313,46.58824117190818,46.67962101780035,47.22790983855848,45.93225513342085,42.23577448954405,46.34790276354607,48.5156926340073,45.82547133507025,48.691681738236475,47.405138498884725,51.974165276248726,50.46739456675283,51.04504656150381,50.90014465724295,49.37228905445237,47.86531770373712,45.42775458130413,45.1634195607452,44.52641886155876,39.73500620850467,40.8294424108539,37.6682402095657,36.78316066038551,38.74932034862402,37.63237142448358,33.99486903009002,33.78792577801765,36.122978304738886,32.34517422897517,28.438590509389147,31.969431179463545,33.93065221291211,27.757325776989802,27.621161263146266,30.255732060711686,27.91498233973231,23.905887046735444,26.752073085260236,26.947404756294066,32.012267764628554,31.878841719391268,33.35667577104233,36.22526021173329,41.13305908589455,44.049531563056796,46.20999393763889,47.294839879862714,46.87638240802908,49.76583247635653,47.932611974191886,51.82064658368408,50.194522011570754,44.51187261590514,47.625037246163274,50.45991251354135,46.068189459178754,44.42329802946924,47.8881893363303,46.99315902795655,42.616589139489,42.91774737769356,39.58467900566881,42.67425693100436,45.51650912107451,44.32159867873673,46.541965985908284,48.48018605486464,46.41305094726902,42.86649064044199,43.48627433435614,43.847045998766696,39.472332876785394,38.240109295624706,39.65910783418125,37.504265107581986,34.488886750288735,38.44228487556513,38.213307185795664,33.4888639220638,34.73847211261727,38.51125364219034,37.90926219037866,41.37883768761325,41.317337576520096,44.709618863036965,42.1955305075233,37.30378735283265,41.41975589193566,41.99119087529563,38.4637399506508,37.99314854248151,43.426182728061065,40.93195374375767,36.306299496712754,39.506880264057045,43.36148197902123,40.45164329447552,36.73937009908329,31.984758749883262,34.648552675851334,30.099729826323237,30.733154358853394,25.946219912654403,27.338790428339404,23.566230209193304,21.930155934505787,24.580519217538505,27.24700561683328,28.804724089997485,31.265863585265663,28.825067786041,32.6914276770176,29.420976591949383,28.45102739772417,31.465247421954924,32.844882530024236,31.28969818033169,27.546572867889743,28.145716152060963,28.589432692413094,25.47419395472851,22.48773312243796,25.337805890268207,26.3733528947377,27.5083451927769,28.848845506986798,30.160969328615348],[18.199787853221984,19.570616167674235,23.302772980591158,20.26530352170532,26.10803348673085,24.70468659691208,27.303466821623157,30.5594381746715,28.788678844903114,30.652212050077807,32.43073054130171,34.963903862915565,36.00104483760263,33.33552692383635,38.087553379073974,40.236115668080664,38.98584240420975,42.93451886506056,44.59798502431109,47.777944538695195,50.52521453395664,54.51135664191874,54.66909908792038,53.69558911871413,51.29581242329971,47.27036292850986,45.91140920668506,42.28290880007302,43.35312329483619,43.211958850936924,45.35921351329226,45.392498140611785,48.27837907191621,52.05584810402549,50.34496134012065,48.64725968236609,48.08392060023196,48.53866140241242,48.28182572291185,53.784512427872976,51.327189159968285,51.5762515528131,55.945527048236706,55.61001461005247,57.22016554755458,56.77309511783197,60.6578257477383,59.90326883149014,56.43183836971713,60.33911127096971,61.911789993890764,61.792965551100764,63.213821817811976,57.78059796558187,61.72199888198013,65.15123481351273,61.40021120749109,60.1500919521988,64.9331305477785,65.3700491193818,60.68206543364753,61.97679118291451,59.849747975693454,60.90655352732711,58.877418863604284,55.591382979629444,51.795566219750256,49.026478500436774,45.616796008409686,43.15874422700512,41.918538462182084,43.3141902026096,45.839778823643286,49.641536286660084,49.68641849955942,55.97331722010455,55.457470916143315,58.25131096780959,57.708260988504954,59.08056957820013,57.32693911098114,56.80495641671067,54.37261631504195,55.38189732579953,52.67676845663632,51.096084242525755,52.73899695520311,53.43515852145608,52.753464756660776,55.34501990721304,52.528821857909435,54.621570173366855,51.084750223230046,49.141588322631115,44.54042223427012,43.97200033622759,39.80507607965365,43.167679785095046,40.739110016779044,41.75853566696686,44.71784829506926,43.75324765779459,46.355887230959844,44.215660442608126,47.51666126297975,42.549304317376226,44.89077552368061,43.77013777237436,39.39986063554182,39.73074302714033,35.006596404655554,36.04636434459052,32.790688745635634,33.53726069642111,33.77055832784028,33.780386141002175,36.959817056868026,37.03688732520918,40.93309457693117,39.5821092569865,36.240395230625325,33.623637307167535,31.215772638383857,29.890733224040066,28.22102499485624,30.782191645301623,29.961036169789985,33.783388478745614,36.08037408350465,41.18055933530978,39.500162745813604,43.662753721438165,45.05941197377042,46.56794214333231,42.53070749476888,39.677818762714445,36.12892708124462,35.11623048058395,33.49688836386436,36.91356827734423,37.516664676015864,42.20637342020096,41.89506093902212,40.129992634359276,43.4860939725633,42.23644053370088,39.21746850148023,38.52346278789917,38.110866396421464,34.98250048789297,36.01665796255419,34.549884247083284,38.420166728114374,36.23556192698142,37.93115167335999,39.92935950752043,38.74196275207151,39.81649075384656,40.94059344490686,40.9270264847791,40.962447568387056,43.886090616875286,42.10210862529078,46.80405315591199,46.6180070383462,43.48539587556278,45.81994234081154,46.45910191338952,43.91131273868786,40.735448403241904,41.84113181809121,40.46509233582554,44.558604679936614,45.92676387438305,46.96169168966759,47.44724980220686,46.18332786781853,51.032158243579204,51.138748187226795,51.41585628035773,50.04699569026722,46.07693616258369,49.915736935597245,51.98988310230987,49.45971965533726,52.75838172416947,51.79859395967901,56.221177666142744,54.60099017852837,54.87182851353557,54.454214899412555,52.8530991409657,50.9751897607808,48.345052956922686,47.794286154902586,46.71662136888271,41.95807717315339,42.76674330236427,39.247624027787715,38.745847358383465,40.0386132820979,39.23504488772178,35.85576475240288,34.87450422997191,36.951398062275324,33.547995531472786,29.33613263028479,32.252587434026225,34.363742601002315,28.380481982495823,27.564879074172783,29.84488726405463,28.048784434952005,23.759599986434257,25.641310785327732,25.98886791438931,30.673083270983437,30.475063526394777,32.55013777315365,35.16922271828153,40.05786994035764,42.46833077961397,45.01196232356807,46.65024135446055,46.68266599668573,49.87870607972821,48.59001911270425,52.35915502149645,50.2801493523735,44.98263117002217,48.4701406039799,50.927173787185296,46.38623354764476,45.23368893978773,48.92656227143007,47.447861333329264,43.05827406997159,44.214129990751495,40.65613249556556,44.37797462144565,46.95145800666276,45.49229450320886,48.04825513590873,49.736722195590886,48.220918338908014,44.53269608770961,44.60340365105827,45.35171406859419,41.2434154418119,39.392172720797916,40.64933447620637,38.68708174743249,35.40659709552613,38.80532823832953,38.58722896195181,33.927238361534634,34.60552556486294,38.127075043508846,37.55738319992457,41.27903868162068,41.73386044809462,44.82233216038885,41.762131350434124,37.30654798744027,41.640869576147765,41.60198954042796,37.988220688201864,38.139602391344056,43.182188184556274,40.08459668301645,35.894641005117904,39.552488191404436,42.814975191760894,39.46196827466427,36.01511995009704,31.40054009544989,33.38949336713275,28.762285337913507,29.09674720433176,24.976324724604222,27.040745775188867,23.81430590423475,21.758217793786716,24.815423124358194,27.1880207699348,29.401895548746882,31.940346196218343,30.485389908728255,34.63950639305513,32.03141870186332,30.505507980861363,33.86523881847321,34.82714329369462,33.94033141608377,30.045291418783147,29.81119459054388,30.59930643245986,28.351450952578986,24.524932072002724,26.539680089452293,27.533305287094706,28.681852969746476,30.03872827050476,31.173292886394623],[17.940350907084618,19.609454704086993,23.743241197276244,21.465536987481027,27.435007852789685,26.137173189589276,29.136947239357777,32.26390597759282,30.86746038816154,33.11143799047961,34.95363240718704,37.20937339145014,38.466095942596056,36.090721010937685,40.821975314693994,42.8590582730729,41.75117740182089,45.836184023968414,47.68157008674073,50.70918895073177,53.581443121018374,57.48913131005277,57.76274163432524,56.78592776151944,54.27172999614412,50.30132141080422,48.768066177904586,45.11064486170121,46.0941980103055,45.75336202753707,48.10220791242196,47.81465976816338,50.70034296786807,54.62730161911722,52.88155607109494,51.32545332802153,50.5157698554352,51.16371262108711,50.85993171975529,56.22099347236791,53.96249498684025,54.383105238164696,58.70379676338676,58.37202920046981,60.09968732336853,59.61489720542006,63.49885080997793,62.65625710763081,59.07423052248183,62.87280280070612,64.44044167128393,64.20798150299908,65.67235473616392,60.27360623563833,64.1548816969258,67.72837642925874,64.10274655229692,62.81257178338585,67.61079761976653,68.16538578179798,63.56164043556677,64.91453067640974,62.7553875364366,63.98114201784209,61.91109748706611,58.524480013277184,54.90253610948791,52.04114473981636,48.79039549845453,46.26090206975571,45.14633024454447,46.63444099639352,49.02132045475822,52.85542986239848,52.71202206204852,58.984058515901545,58.37332328090216,61.06362561332062,60.44120579487353,61.77263733128925,59.81653655257082,59.21281099982241,56.57183397119963,57.50958385860976,54.91890322454997,53.44394653320517,55.315125017694314,55.88080719645193,55.47134768462217,57.98505762372738,55.32041311046975,57.49847416695212,53.90412872715364,51.80895258170537,47.19311157524203,46.63349941149795,42.47446944029236,45.5574291341809,42.95269693766539,43.57927989230819,46.76924767542073,45.42284288491247,48.28568177535986,45.82054001674946,49.081845188609925,44.01486552708917,46.04374551008796,44.84232298785962,40.37649429237942,40.86426792696604,36.244913469879975,37.73076817561034,34.68765447877841,35.72076522741701,36.304106206587306,36.45574878031863,39.78943628619242,39.97244088053649,44.06605347710873,42.60979789004982,39.33507474731976,36.593829017429535,34.1646755382119,32.60416493667431,30.653584017057963,32.95630395064407,31.572259229734883,35.441041978619495,37.47245235497891,42.58167318652015,40.694062745065104,44.68782375756507,46.35790843518669,47.943824800016564,44.09737658904464,41.46382870514594,37.753682989313056,37.15217686598311,35.83538460007874,39.33198328423172,40.21932960909944,44.98011861623008,44.7275027363359,42.8035097128466,46.11070364826146,44.82980784770608,41.75373299877621,40.88455789012279,40.19897742473696,37.001105668574084,37.636170860504286,36.19662268777625,39.74783148061835,37.42369346317631,39.51075627617771,41.59857462846584,40.673430793248016,41.537534643133,43.006721813083296,42.74687814016874,43.033782273028784,46.21190947877831,44.492199416788466,49.151370550710176,48.858390039423206,45.76287906054567,47.82308677953049,48.46796566112402,45.703214857673245,42.699364729038926,43.71455028072047,42.544482969056425,46.61805774101184,47.969968807841454,49.04319852830666,49.36994441900837,48.31060104157058,52.969101835405674,53.20205720260972,53.28209423401057,52.019731778141214,47.80888882074898,51.54765184328815,53.63381281467818,51.25910402708317,54.833102602336055,54.10676123520934,58.485472175751376,56.9072335448372,56.95478302496116,56.40245588182528,54.67004337352983,52.59948134757379,49.827804807932125,49.06344167768737,47.7329102577554,43.009587352593876,43.533952948564945,39.789136801468615,39.384392479404724,40.215441338670665,39.48616209674823,36.34285405035583,34.98433329005653,36.76186843140927,33.556228716100684,29.387497223686907,31.821242890760313,33.818943066434,28.06769943811443,26.919569399747225,28.849959239419942,27.322020508288396,23.043322249007247,24.328756500786586,24.90148275142078,29.15148371594665,29.22322863596209,31.525653369471932,33.86443288117466,38.76286784225425,40.803766823004096,43.60789212783609,45.48690994081875,45.828053446608656,49.172622889496594,48.20638594020672,51.95694515119268,49.662735415096776,44.641614413559374,48.336742677908155,50.65081437970432,46.09646865239949,45.23539762034268,49.08579657405523,47.38436580509049,43.012293021947656,44.67182006420467,40.874153589079675,44.845780261298785,47.181700781735785,45.46520967999141,48.13963272117226,49.57773337682003,48.40030364655613,44.720998204178024,44.37264279671909,45.278940191143136,41.39957346932957,39.20974849466264,40.256976522045115,38.39319280610775,35.04484306429104,38.05811248599033,37.77420912250526,33.19741503496556,33.592682307177206,36.919928280721,36.45858977371027,40.31612494678021,41.120994946631775,44.05503209299814,40.68578447933959,36.578399838890405,41.06405946281245,40.7082490304134,37.08779607029473,37.69467576655994,42.49619336519774,39.119692931296164,35.27273501008675,39.22093462617979,42.129567221218316,38.60074742849081,35.377960173485,30.891698216206244,32.596735062110234,28.028242176085357,27.942978853574854,24.293845367176136,26.54645691544718,23.609778426049672,21.615602533031876,24.889979262935874,27.185548821567576,29.699745198749465,32.05615468152853,31.137483998710312,35.373250923081734,33.166252498806124,31.15049131716036,34.568698492588716,35.187516400013024,34.662483614943525,30.80802986517667,30.005016884052036,30.899210321767008,29.27826908458878,25.056046315162636,26.440497859283084,27.30191258168091,28.417664243639834,29.768608705660444,30.772687556520193],[14.482421118565911,16.42266225307924,20.821616042206248,18.91544988776778,24.91013986082247,23.17657110248435,26.359001738527926,29.253953563269384,28.034080941490142,30.62069341868722,32.45335051612748,34.43221834906435,35.95123645898416,33.87189474013483,38.521732054031496,40.45175559565857,39.59829517960994,43.82301891301648,46.0102286320918,48.84524024600606,51.92134110919719,55.77605276350576,56.26901087902143,55.445716501523385,52.743162590144614,48.77774505113133,47.01417082949153,43.23414792693559,43.965428873392824,43.34067497923453,45.79474089456774,45.191019848877914,48.034534770310515,52.1033032251095,50.37209454908504,49.01986967994441,48.00010263600551,48.97904806819146,48.76481671320369,54.074216716307234,52.124678391264986,52.53830019400972,56.80593380380038,56.652927765246055,58.597224509665104,58.26753844896022,62.12631141697023,61.02568465924438,57.49254541721637,61.25986842179229,62.61208119862646,62.24075851173036,63.61168778106621,58.225356048365235,61.89030056046905,65.63558574475019,62.16317967359896,60.672941098561694,65.46495872754701,66.26866659448133,61.69587209864412,62.98539613669095,60.71242250194886,62.194471917716875,60.16521562129777,56.609308242109975,53.19452348094432,50.14474275002515,47.150529657234195,44.452627033166955,43.56929505685305,45.219550081759515,47.32141269954752,51.2251754923965,50.762747918854544,56.99433585436924,56.303136333490926,58.81922655893743,58.158839208894,59.52370343724818,57.37429797566778,56.82288396480846,53.95656548070262,54.98880330992812,52.56559512129921,51.022209517652506,53.05484090994366,53.37814414265898,53.226172281697096,55.55744102167129,53.05359585556012,55.31094755263208,51.64997588073636,49.38205342273865,44.763711912502124,44.22984097754178,40.08569689761972,42.8701529520635,40.12496103003193,40.46589537246875,43.83356286051098,42.288761106893304,45.36661205021674,42.79571650186047,46.1889822476571,41.15858023698857,43.1064435048446,42.072431434230815,37.576230632236246,37.90252872033502,33.33786790796078,35.03405336596319,31.98795482000937,33.3588866394453,34.08199043161052,34.54699390693766,37.958212439985594,38.47808296439748,42.64948819007961,40.87178475388784,37.730305513676456,34.7941645074123,32.576312711840266,30.721660062803505,28.44091453542247,30.7884737920619,28.944698209129147,32.96227345224223,34.926707280588296,39.985714107208864,38.33752337166816,42.21462427129118,44.092238527040806,45.43507326098988,41.87295391329167,39.20190311435449,35.74355258422639,35.259943318288464,34.16343646497406,37.56700093534529,38.91525132224666,43.70381574130089,43.21309174515823,41.0805077719889,44.25729406891126,42.73461743534924,39.65841727264001,38.49200711074589,37.59429036394794,34.24296436874419,34.611234171337664,33.060345580338264,36.42680118960117,34.005550104546,36.27019369107788,38.41937234884025,37.690777940538425,38.49260139123618,40.20237205699837,39.94943736007452,40.592351075743466,43.8620863582567,42.472045175860075,47.01965479151323,46.94836429698516,44.1424567814674,46.075721786111515,47.00863891568453,44.146223221389235,41.11533135643454,41.87900090429443,40.62926955384395,44.48616598633504,45.643719957728855,46.56958048442477,46.67095739884673,45.63799664761422,50.152761513395674,50.61186621442829,50.60634631724937,49.63034514609655,45.228998543505064,49.10896177159792,51.34322677043427,49.076592003677206,52.71664511635942,52.082625737848566,56.557584655855784,55.200721877844565,55.15511447186856,54.65710877463903,52.7325951224407,50.709785491992,47.864739523153304,47.01529612907998,45.715659658083695,40.96404596087785,41.284002017309014,37.48459969102038,36.77586069188745,37.566884877068205,36.567569796807184,33.49873775293146,32.35031374528827,33.920672890982516,30.529763835237183,26.710634864713704,29.097738853181166,30.7362344492609,24.97512659888091,24.049476331385513,25.88539025374876,24.054034092257645,19.941727912347414,21.559173527366436,22.371753418659555,26.542838653079322,27.235668358184803,29.169933955453757,31.40086287643673,36.46322136920328,38.58749196944563,41.36986852767163,42.943266900123305,43.25424285804972,46.51615296694188,45.42603910028986,49.34718232767754,47.21926761773811,42.138332900486176,45.79283619783985,48.3650052910938,43.9232471982393,42.958290554855935,46.87147563966194,45.49234014110025,41.10649306305039,42.650357520197836,38.60667117186993,42.314382611674944,44.560569064817074,42.65986707285023,45.17220425868185,46.47220252665564,45.23240438857973,41.69302720958108,41.23607217637277,41.97336003979417,38.12857403845669,36.02144420623147,36.908311848737824,34.95146522793722,31.719743251135483,34.80454238623714,34.39041214855059,29.76116404955092,30.386415500967637,33.78832188998454,33.464087778912706,37.31987634648658,38.10768350155895,41.20563575927221,37.93527544301647,33.79888027539303,38.37735862988353,38.24327143755744,34.65359062491035,35.29592742899365,40.263801473482424,37.1358182899037,33.249876893643616,37.221070432171935,40.32159834408563,37.01847705734585,33.77877661855015,29.216115717299097,31.406726357031616,26.9317526113318,26.463121473397997,22.564608958285064,24.310120278719094,21.020284713303244,19.629831233352405,22.96993722186851,25.63723651430064,27.951375820375954,29.905334131839563,28.747712923643324,32.89354607103125,30.63572991139036,28.246566735786164,31.458689579848574,31.924968201887115,31.30389222835283,27.598407067969482,26.65111170349176,27.386364417357534,25.936108388407497,21.726174071760294,22.9569256439772,23.70228511221713,24.8248697094244,26.228061125469203,27.258133068898196],[16.5540429775043,19.266236309368892,24.00038143341115,22.397097088122106,28.267531288306376,25.374154731660507,28.401160457736367,30.6614674387939,28.972750297507584,31.802717359191533,33.055370708195966,34.74771291263097,37.05221289213408,34.86708695756309,39.113042391789726,41.28329776568772,41.00139560160111,45.13075819764856,47.63681910193205,50.58491846546012,53.723619882260635,57.75109547196478,58.32249943780495,57.80591047134031,55.12276286943271,50.99581591518072,49.29309900705619,45.31224337298776,45.60380383853907,44.68075886593046,46.460802221044005,45.93884088653542,48.33563235873602,52.53489145314955,51.246681925141154,50.235245858581905,49.36469561718245,50.86549900469074,51.024330840831865,56.54089775059378,54.78425378181622,54.759035135537125,59.04494137657887,59.240950492141835,61.26802606391342,61.243209958171654,65.06053228711947,63.77726386001989,60.54115053517196,64.44902858459045,65.48215555300999,65.09221548522393,66.20739466163332,60.774512899438456,64.08184383367788,67.90046946528956,64.45816111486522,62.581106697275004,67.31179107107566,68.40241185186004,63.636569807805685,64.50650566357997,61.95018404541505,63.50206830822846,61.829566208668226,58.18827512484649,54.580635259844115,51.310669495745756,48.312932470188024,45.241354724153396,44.46497166862662,45.805804087655716,47.80814653153485,52.016429659027004,51.46155893672551,57.56581859017441,57.305846324454755,59.53382675036945,59.23125848336428,60.9628651375033,58.85424750605686,58.73825558660733,55.69577832127055,57.17609556083389,54.955920569642416,52.99710523812351,54.87011834433324,54.76056624459116,54.540754647260236,56.31834487462288,53.705013939081276,55.597855183605745,51.80528711957503,49.41065443625878,44.958732217301325,43.97087852438555,40.03979990329176,42.95865070061181,40.3235126064457,40.38545873266437,44.39702256164276,43.14600021361755,46.61419111569996,44.39561212932571,48.30390734860639,43.53029313323903,45.588984342803016,45.01414598872049,40.54702881805998,40.372236927751786,35.87699877161097,37.555583191208754,34.152176727652865,35.86669792670393,36.11222353772329,36.986874157084706,40.13757479770138,41.0438556814167,44.71680272218454,42.54305051313521,39.4770013318917,36.50663944248382,34.92385745045775,33.11392537142779,30.763863567697946,33.73459841799907,31.744898476217166,36.01166325370173,38.10433414555249,43.034613729119755,41.96817958763037,45.73916988808359,47.769538418121435,48.65080939539257,45.4172639752978,42.47756903153917,39.55102711563837,38.82030108619728,37.63243153946999,40.784240203179266,42.25625853903948,46.932754043078546,45.99929933579601,43.88087413442454,46.92465590060427,44.9537002164743,42.025482853324355,40.51014466400447,39.63720051890464,35.91493035467996,36.1842341683338,33.901579546129085,37.02903121792082,33.791313618900354,36.086250690111385,38.80540277499469,38.47239885940546,39.71030901124684,41.54467802835503,41.943726182526476,43.10719793299577,46.089710514965795,45.30061153351858,49.7025833272125,50.18017066544827,47.73326607299739,49.821845342823586,51.06158814574788,48.30618557697611,45.112217271041075,45.66961686438515,44.09361650343656,47.62492558228833,48.44657788156494,48.98045122237991,48.765241265249415,47.36119163603071,51.82930172748503,52.747194919503656,52.863836833811625,52.40118470620606,47.93026610985811,52.20277920391347,54.678959820777024,52.439279782991576,55.85306358554941,55.0325715164169,59.71888188294316,58.63493323995178,58.74808019617061,58.46123929188749,56.436404912596906,54.639112177614834,51.81413223587881,50.996808727092386,49.863008000795496,45.07606571159234,45.24636381834024,41.45539645541451,40.26862131006944,41.06342181694415,39.56192222320948,36.634930337632774,35.93010184062358,37.08296363258318,33.37687970112985,30.29865494644359,32.486031222668466,33.293399063929904,27.71744158209808,27.173085921841416,28.51525470341663,26.107032975343095,22.619850716710314,24.417778438076493,25.870119956064446,29.36807537349855,31.249380512258977,32.839132833406836,34.638116301994245,39.89699410571236,41.71397294990382,44.72888843446456,46.03018528192867,46.519267216969915,49.69239151222804,48.531789867013565,52.718245983949984,50.78595107036081,45.75775970222346,49.370052637567085,52.26706450024223,47.999169676530805,46.95811093728417,50.93377640724764,49.91629350087723,45.543934485178674,46.95053319643682,42.65751402089074,45.93752424853722,48.04743946214139,45.823048437429776,47.988472499317886,48.91096860992845,47.54467970049405,44.39107531539295,43.61737153325565,43.87981718206761,40.21289259672927,38.35440479359398,38.64325769237413,36.39844770760593,33.63810597250172,36.657602086882896,35.674671311595525,30.97743730230014,32.20507970190986,35.537220922650064,35.763253708803624,39.690816830238276,40.68517638251944,44.022120163502535,40.75642723976582,36.872039493295226,41.64405296894076,41.70924225560992,38.20601967312343,39.10586331743954,44.155493572723984,41.21535798142272,37.492289927806965,41.53973400956269,44.69776410303511,41.55387537708224,38.423866184435546,33.88398171131156,36.317725940866545,31.94891628740085,31.04369320877505,27.22035065916424,28.47607097351653,24.84233016648478,24.21560086850779,27.5753132191591,30.524122234580126,32.64047320778137,34.18045425257929,32.651464593581636,36.59713560915174,34.07466475456088,31.282386624244495,33.88431319374739,34.04922139364088,32.862372754968604,29.761809118961505,28.624263733732455,28.5419462273726,27.376362034600415,23.732217234109065,24.529869037448186,24.336330660958673,25.074034102260562,26.317255968786107,27.111372170229217],[16.550000267960087,19.607750657456535,24.34571199976075,22.979408851609055,28.535490393091067,24.70706448432709,27.53926376806829,29.2093194552284,27.266889573075282,30.33085419815606,31.159410130226373,32.508941048046196,35.40887892646752,33.33291868981326,37.20319256964366,39.44597274803247,39.665758289155235,43.74841866860861,46.61433860183498,49.50060804267632,52.75864387655454,56.83745442960999,57.573721900114364,57.34610628234593,54.59507120578008,50.40211830486249,48.63678673993951,44.505185884093656,44.37571660140419,43.13539014953775,44.50346433218989,43.89828823410518,45.96687960507032,50.275080530573305,49.28597618860517,48.59543397607106,47.744854472472326,49.72382927507227,50.17783950534869,55.77364885467017,54.30201285094551,53.96654133212284,58.20462922676722,58.72734216545738,60.90590900569158,61.173964770251665,64.9273393807915,63.3923610534457,60.414667130599646,64.3860450658785,65.08358127554979,64.61990252823003,65.50288711880137,60.07686110833734,63.02138329962423,66.93599747359771,63.60311636702791,61.38370746740109,66.04142236330551,67.43600964141973,62.58175175684286,63.14125747194988,60.361380319140274,62.08193962392833,60.667882738300065,56.90771054152184,53.31602269369736,49.833461133211216,47.008003653499415,43.64300137431845,43.07855217525446,44.317015289962725,46.06150594170187,50.4527161075024,49.66386485246632,55.62022407791335,55.58642342860631,57.5319448133444,57.43939598926128,59.41303166981597,57.26515220114075,57.46911411157631,54.25020601326972,56.073965777637355,54.07198002806526,51.80342136503745,53.61259598547241,53.112483925568,52.956693735513035,54.28091897754449,51.693556223357746,53.38767213929067,49.50938323382469,46.97054264424742,42.661361628502746,41.417952733767734,37.67076947479192,40.498923056731904,37.90940986436436,37.70465637839194,42.1439109871961,41.070701534578184,44.81568579926356,42.868628890440036,47.153620598273704,42.64613380665882,44.79689605941446,44.642218918207,40.26111872130522,39.627193394586065,35.25014350579216,36.888743320881474,33.26202181205048,35.30215875564894,35.25240031266815,36.538787297637455,39.49319037399521,40.82171883279234,44.15729765267528,41.57635358033519,38.680074874431824,35.63260889138609,34.61708734975836,32.72709362196603,30.237233837684894,33.61140941273547,31.436186501193088,35.84377604882542,38.01255249671588,42.75649103669689,42.2675645121828,45.90786477927613,48.050715385560096,48.471028069011396,45.59188677061085,42.44285579308901,40.084080011050595,39.18094209032629,38.02352572836472,40.892014963366485,42.64956763764035,47.20354165143654,45.84906016952149,43.66405005508578,46.51600037994498,44.14528061048231,41.35946079086976,39.49805541209612,38.58486041520589,34.60677821023912,34.74573110136428,31.94420159410596,34.84574375012951,31.091789766638044,33.37204651977859,36.44525765560235,36.427160610396,37.948279931172884,39.899342208082516,40.77772506511568,42.40951021748463,45.17196623278632,44.955890993909385,49.159593596286854,50.13865317662432,48.10555092860564,50.25673180167783,51.84695086003617,49.17548755769057,45.854227939896276,46.15080156505518,44.29443154673437,47.457102997108976,47.94430259953159,48.12727608059476,47.61851536499747,45.959246356027535,50.316861395107374,51.61948994981766,51.810114197046545,51.81884629899095,47.29583208377191,51.88430969023582,54.5751844454341,52.393788384694155,55.607365733802574,54.67961768606692,59.531416761606025,58.737400883803375,58.94660116045033,58.859733907067,56.700069023817235,55.14328339855462,52.35129343847476,51.57069263721599,50.64225703391363,45.85712201989389,45.90054826199175,42.201714094105945,40.53212792772966,41.45309265402612,39.47957163006546,36.6471006859087,36.47854120204965,37.350427950201215,33.33377358125059,30.960517788583157,33.13211051538531,33.26051701770626,27.829243737259677,27.79115612955875,28.896253513601305,25.911881410627576,23.026372000787678,25.307059426789632,27.11115110066955,30.280312139958102,33.012516784157,34.085456161603034,35.663371308483015,41.047549961349105,42.87875834705948,45.86800154972655,46.709473254941656,47.14917721901114,50.13105063094712,48.734924094967745,53.153336037287524,51.53620722758443,46.44310326534943,49.89148970259324,53.1641147255507,49.10557383397813,47.86146625617895,51.820269428693535,51.29254350229039,46.95215974458284,48.026866113313,43.56663912044221,46.311259379758994,48.34755179209518,45.93564585047445,47.72648533927341,48.425730099521324,46.824477290296734,44.02474555284511,43.165526178043685,42.9666920626819,39.38156196674922,37.88592064619591,37.790859661532146,35.30007959007102,32.983379402378596,36.120170314431476,34.75385315670405,30.03383057441201,31.87745999616528,35.240060847253226,35.822680705332786,39.67059959665147,40.61446294301021,44.215011816700944,41.18339858954973,37.339363329365725,42.1510315611523,42.5902948739156,39.203514991501,40.08220990150331,45.30854303250565,42.76072738698366,39.02106756259813,42.967985750835794,46.36760964958582,43.53955830599526,40.409678475693276,35.853383621351796,38.753435313881965,34.53136997635797,33.35140250311404,29.338417888385347,29.957924769007974,25.932675840313838,26.062392396178133,29.30819981128319,32.575276054782194,34.34198166689626,35.445093395509886,33.41657503031014,37.09029450641376,34.30056313239086,31.240514372880924,33.27468703482201,33.274660650984934,31.55262887667074,28.98642178355109,27.86805600638577,27.124369951136394,26.059340013259906,23.059604545854857,23.683603106505906,22.875634048523068,23.3629142501307,24.520122701274367,25.210918705018443],[18.609127663121708,21.828808686986672,26.8575920818543,26.13541362999276,31.853862044723567,28.49322616368231,31.69707029128915,33.40105208136728,31.882425561554225,35.13968229198704,36.11163742249765,37.30469028442342,40.22445313295652,38.33271208139554,42.24940172328326,44.391097626056634,44.58662645828942,48.75325290860704,51.61987348922657,54.433777136343956,57.72780320674959,61.7447188127632,62.49811466061611,62.17842864795194,59.382666746261876,55.24364769647102,53.396563148160716,49.299549559137716,49.236527773487296,47.93840947979405,49.52594135444422,48.70450388745709,50.80586199064823,55.19296845541062,54.1413678530701,53.49835578464359,52.45870058400384,54.463032186924906,54.80109200182954,60.25546385140222,58.845231554915344,58.72996249617125,62.94517363010606,63.36784155495856,65.57119305436618,65.70682739646347,69.47860445112006,67.97908458866257,64.83654302486025,68.70206487594542,69.50846663504483,68.98211683808499,69.96953904565456,64.57447570694634,67.5665306150077,71.5673437315442,68.3026425834439,66.14458362139823,70.82263441442971,72.2240576638031,67.45859752037549,68.1290285744696,65.37908668248336,67.16290191470407,65.66898116120663,61.88488718180507,58.39074162381681,54.912530509197836,52.12766164888405,48.79976678396576,48.23938816607272,49.511328302594976,51.26432204358239,55.63546040063257,54.80768596284472,60.76539303651107,60.6435521016069,62.5625858192064,62.38382951813003,64.27833017898404,61.98698796969034,62.05436673012114,58.70342401890219,60.3799443636182,58.4274157260506,56.3342952285425,58.336937431614764,57.82304339888046,57.86314932398135,59.205709927085636,56.72961536088294,58.492065381009105,54.59928794061996,51.987966025405,47.68031877854781,46.46832703853848,42.73764511711882,45.35989633399545,42.646143327155734,42.11383991232226,46.67865263219664,45.22038143377635,49.14231739762464,46.8385416380985,50.96928335560699,46.332543473571135,48.127229611423665,47.78425103034507,43.312781183015574,42.96315706926726,38.700486137744925,40.76621133029457,37.423327198884365,39.57996064293418,39.89183685655627,41.12465072918782,44.24406258935751,45.47341689004504,49.039138846740066,46.5425984976766,43.62862924917778,40.548094135749665,39.310653842426795,37.32183831288126,34.71325610251777,37.72956030027909,35.16976868318362,39.544093869503186,41.431083126876715,46.216650300450965,45.35237775440971,48.849264031187275,51.219758673079454,51.85397312828353,49.05514449390369,46.180340429975544,43.48092267585048,42.98543588876617,42.039272725878156,45.08298782504335,46.90458016202208,51.559517006391026,50.41201520219174,48.15234786798314,51.03742856566813,48.78115058940797,45.915554936553114,44.03752203454081,42.91804820594159,38.98021376885941,38.78485767496105,36.154497693441854,38.720822897877945,34.93513083745207,37.60075117454943,40.683588520200274,40.871937929739566,42.12268498279097,44.35450778409409,44.889391732236284,46.60525162557501,49.633411872987544,49.28691335071907,53.512645605532924,54.23197665053323,52.07660548619422,53.981564444007915,55.43580752661225,52.55663085188098,49.43483904889727,49.75934532816727,48.18472996146452,51.45526525428275,52.036920325695235,52.355584467256094,51.78179079441728,50.375839973903844,54.56482006504801,55.89338905114699,55.883145967291924,55.862547413104146,51.150105457369875,55.54029125886956,58.17100911236155,56.120159448970746,59.63194927953274,58.93476379481935,63.68586938552546,62.83079593651496,62.82552730543496,62.547880209599555,60.330169190906254,58.51885738400548,55.59209684683326,54.602307386502176,53.364187468887664,48.632135206082346,48.4335609062591,44.49421367298777,43.07754689401406,43.449254410790545,41.68735920370597,39.12720822965271,38.40573948832404,38.97855196254106,35.31127017162635,32.85962102864935,34.43878730492346,34.53007051871388,29.4629550004126,28.91799741501748,29.557881300825038,27.062456539527965,24.19267792579647,25.535411840849914,27.583666598557958,30.101970223297688,33.07082307403479,34.51140390738728,35.71234267809863,41.02744864726182,42.279755496819746,45.6409678403627,46.89550909273633,47.764907120588816,50.95551968421186,50.034372170273684,54.35819532495638,52.41267642719831,47.716762247299094,51.432955700871354,54.42634199728172,50.32513417834804,49.48196428071464,53.59694510980865,52.68505252307702,48.383168312273355,50.09498914728525,45.457931553348786,48.6061121683117,50.38062056891037,47.718463357947,49.71602266825161,50.12562411984453,49.00753345835846,46.1759925325354,44.80122829341506,44.87551151701054,41.61343963346966,39.64438980078669,39.31023879106543,37.00798183663131,34.582789539902514,37.1205117616616,35.686889785404105,31.153873549504443,32.51545168323943,35.533904502043725,36.26234229016231,40.277403351933906,41.71414871697017,45.0373680972211,41.56689324847374,38.24028800775175,43.19743756529652,43.149691919655226,39.76904479619444,41.22008466013598,46.05982626285355,43.096879930018616,39.826928493976226,44.09993114020387,46.98661716954038,43.88859081498516,41.06116221238964,36.71363523629867,39.11390928959157,34.97001703128556,33.4166915210048,30.075545925460677,31.055602539953895,27.52785308655397,27.505479860663307,30.942992368213243,33.9763174277382,36.13685500417941,37.19294092622864,35.88420487219317,39.69418570051614,37.403934367535776,33.96822511284197,36.170258102320716,35.807353568019515,34.64627493698561,32.05545859817321,30.278145869188805,29.773518624398886,29.479683628910948,25.967199786486628,25.84051462283448,24.888704073280152,25.277331384320725,26.370325503269306,26.829077645148786],[15.138064703846307,18.487391185234657,23.64053533115434,23.98388504423125,29.506418319122382,26.459727690914374,30.116717234861277,31.694899713499858,30.98687326304046,34.67421625205386,35.97728730616512,36.78081067216424,39.65660392918,38.389595756104534,42.361950199466854,44.13234432200852,44.36784422681593,48.77043528425498,51.88646562068467,54.302800622887126,57.82354593633827,61.59319030563409,62.594941288095285,62.242545327252884,59.190083881936346,55.230022065876256,53.0132158534917,48.94110921329422,48.81630284999701,47.26216649839297,49.48794625712856,48.0378964849026,50.327967136132834,54.8629177590045,53.548569300211675,53.04112790937369,51.50800473559012,53.68449003397646,53.8581185509394,58.96425719904869,57.91497752146403,58.1995168053863,62.27994542289525,62.66708495514055,65.11648993830426,65.19200311830765,68.9420699054079,67.23301907662042,63.885277112207916,67.54475009890015,68.31099280410497,67.56837883714569,68.6331320013665,63.33847018514106,66.24550326019046,70.4794419112778,67.46976104141082,65.31698571494324,70.0102249082555,71.57796544591284,67.05789357845872,67.95783844950545,65.25645200262156,67.38313454398295,65.68846936467602,61.731966039129944,58.72356066780459,55.14941963593658,52.76352015864148,49.474530883975355,49.17093472757312,50.84130607846087,52.26229027529602,56.503755779019066,55.281539221758536,61.21922877294417,60.67453122908309,62.48996067167247,61.994247585043176,63.657392114735664,60.99263662158784,60.794542032237054,57.16475546511829,58.60422570475147,56.83258110116414,55.017776874466314,57.44077218383049,56.8230180179025,57.39492095374427,58.80266574751312,56.70386747336431,58.82555981350503,54.929013227763114,52.116436268443216,47.74607307058645,46.85511302399322,43.07159149600637,45.02913912391354,41.99494917823964,40.95919099848476,45.49198633204365,43.32984367109212,47.44563172133436,44.582128276522916,48.498374788635125,43.73717925950878,45.063019020937965,44.603842729475595,40.10023566022106,39.975595725734344,35.95615746973197,38.58974991137242,35.70533889343339,38.20494098156019,39.17268250198404,40.56163944800108,43.953914119906884,45.33463383370456,49.35041752914824,46.73905795104462,43.99970167558206,40.71764274876175,39.32625344711634,36.92698499274417,33.915713485328695,36.36390220956933,33.06333537182981,37.34986197519069,38.82067738789465,43.50000289913954,42.43333655723833,45.63008053110569,48.330585926120364,49.003710479356684,46.550197528741045,44.02574086861364,41.23396319019346,41.310515368424056,40.87515360130275,43.96669587977393,46.32245360874196,51.04364871191484,49.983817272672965,47.434639120437716,50.187821022006425,47.95531660670911,45.01284589524365,42.92848114540328,41.378238518864165,37.511582443302885,36.732812127362955,34.44761918198299,36.54962439864859,33.02168647076827,36.210453810591915,39.0815814440939,39.511444105722134,40.2459672765299,42.9310772523842,42.898081468092236,44.89066229071816,48.32131001335679,48.03254462995051,52.13142966291569,52.65768525195766,50.65608737359111,52.11246106548058,53.66633461463876,50.52181019123814,47.64983908966877,47.76208362305268,46.46305569598989,49.615295560803304,50.1627512717227,50.572180602084785,49.81015257111677,48.83151305262058,52.67060080701485,54.07436193958624,53.74022619781877,53.829236094296654,48.822511563292636,52.99252991720427,55.61951334413996,53.82288520478827,57.71634016523732,57.40845119980256,62.059486895636034,61.349049649764474,60.961833320295796,60.51873741502709,58.07896604395463,56.04449649364174,52.957119760043966,51.694070597214974,50.204398881881936,45.583798192015166,45.005023080381086,40.90090540187595,39.51384306660869,39.386678048210186,37.6725098325676,35.45111145816949,34.42517409225451,34.61005670046113,31.206596346236218,29.033903531249546,30.045064880778767,29.891323439633407,25.260433434970455,24.512356216295558,24.733450845481077,22.4952978734761,19.891668953521794,20.758293521558095,23.05432569761517,25.00327232510971,28.501425241579135,29.805378737510626,30.676937184489244,35.95038529996902,37.04869130965909,40.44185432586949,41.66776734076013,42.739003496967044,45.970075434202684,45.28572911002657,49.578183572715034,47.55157664209566,43.137213375214465,46.95255012992529,49.878489725044965,45.88928072247741,45.267151369135505,49.48857673778118,48.5488714452765,44.33764251685359,46.417522204849206,41.53981529982347,44.76004024979122,46.23209510246666,43.324797025782594,45.37938315309013,45.55251793374369,44.78407187156798,41.994094165863594,40.229555607389024,40.489979363285535,37.503022310052756,35.20843296833812,34.71681655549713,32.59064368718263,30.101715666657913,32.23772502086121,30.82995374595265,26.469068055657527,27.513092772090456,30.341958721945947,31.139932786090583,35.182205388769134,36.86387217553393,40.03550210553292,36.42644086610587,33.433429442922424,38.43422151182023,38.23053640269773,34.9431925391947,36.74855815005372,41.35549634722002,38.392046840069526,35.468659203605995,39.8673965045638,42.51997010457777,39.516080271508265,36.934242231976626,32.8019100420498,35.24229430444448,31.40121794059403,29.30025384101192,26.35216181966652,27.066244257545183,23.825610323899827,24.27660652949437,27.694662342624934,30.722933372116028,32.913094622248146,33.50497076022077,32.67077532388138,36.37199723450249,34.60077239956132,30.666586652778438,32.83293524618624,32.08173121124956,31.473352280159332,28.956051182844497,26.579400554461994,26.330056058561155,26.800903736286745,22.85784004972464,21.92057275864343,21.047289900154894,21.555368553995685,22.737715016214693,23.170679870713023],[16.83800356360428,19.698377384518448,24.701592376096126,24.356456851437247,30.20323765967229,27.91919786186537,31.519267790428433,33.69987380897057,32.83820977027455,36.10681651622825,37.64529087014517,38.95097356577259,41.290118386822115,39.641976245786516,43.936259994858034,45.806595563122336,45.556380075891774,49.89716405520812,52.56945601913423,55.210084159360015,58.519725458151555,62.34167117498877,63.08163946679411,62.47080590047669,59.59279179730911,55.625675987238054,53.626546748001054,49.69152176852388,49.9886833069647,48.848973275371144,51.180413254976074,50.09396317810168,52.617454201806964,56.98215393668288,55.495601931538914,54.61838315553463,53.287771303290455,54.92698392565722,54.89039792680215,60.06495668985847,58.58105271059964,58.99703352319424,63.177754545950215,63.26322172053801,65.46223437190437,65.28092791553833,69.09869800028774,67.72127028793045,64.20922283139703,67.89589284165038,69.00302169449927,68.43040478691591,69.68659671895479,64.3423994021197,67.63781364490265,71.67547685986598,68.44871756791972,66.62568491134145,71.38364913411972,72.58088460694937,68.04366490021816,69.14500534896449,66.63920965886182,68.45771982925706,66.5997104265655,62.831059956840136,59.60291443958553,56.27022192663463,53.553971800772686,50.52031812204098,49.91388141455371,51.514856402955196,53.311618485071065,57.43979002112278,56.604069811256,62.698686002160215,62.11562861136501,64.25001411362386,63.68938668407939,65.21932817793599,62.75936030548518,62.36878451210986,59.04089671754448,60.2504997596793,58.18647527529512,56.54950128939803,58.84381532874461,58.65078953981891,58.9231897933671,60.74165022609641,58.44842684455248,60.60735961402364,56.789182002899,54.20084694399669,49.71465825333347,48.92208059235354,44.97795864406574,47.33200265106319,44.400317263208784,43.87084873782677,47.99960697116026,46.00702847399637,49.75065964355294,46.89328096803792,50.537293949313145,45.57887610174496,47.03312237106806,46.21136885536536,41.655662120367815,41.88102162300912,37.64991152856309,40.043183660907154,37.172023878511325,39.201518001185846,40.14996860081942,41.087987561806116,44.53634440531365,45.45886840775168,49.58947476886854,47.40610184846093,44.44319569955751,41.32111388600595,39.485523655246865,37.34081808398764,34.64204000143387,36.95216771616709,34.17412641857459,38.33934070080072,39.91554818603455,44.80411328961265,43.26386768717366,46.711291734951494,49.14081630298148,50.250957016079056,47.30217327681134,44.83867690335363,41.547897068311464,41.54594525185274,40.87250502563567,44.19859499083397,46.05507105236972,50.8427629913849,50.14679794562488,47.78906522941026,50.77097630008351,48.91030309665548,45.874952017060586,44.21122917163132,42.898236265396626,39.25043676138049,38.87672293407401,36.92649341460419,39.485483951514276,36.345056971775634,39.26994719480864,41.89956622093688,41.89977160965982,42.61114373939085,44.96118579048952,44.732176387767396,46.14184750909588,49.594249531626325,48.735328222516415,53.06953083465383,53.19131996467367,50.73663444725047,52.31661998526568,53.48448971131637,50.3828059303197,47.54199690344878,47.99492072343721,46.849857442718154,50.39652767005614,51.282475962195164,51.990473711548496,51.602024519385864,50.67521401960965,54.78129647614262,55.77013002138902,55.51404818977616,55.091239804904504,50.27951706636035,54.22759371252687,56.637485080484794,54.67507789077155,58.590067643799514,58.21496826134035,62.742603770205335,61.70105395172809,61.37825719092036,60.81046559221192,58.600784606696365,56.42882692743121,53.38727005539532,52.209779233212956,50.628894022225,45.97519739058227,45.69260469911999,41.58820928344709,40.68439904617018,40.65969754629869,39.41719380660185,36.95444318309199,35.53111229966451,36.1854468477919,33.00637341273392,30.004925222671943,31.276976305385638,31.95846112822153,27.017786111482437,25.844059963554688,26.51404746364545,24.80050029566307,21.476595626802634,22.01902515225167,23.781936134458153,26.328974486321304,28.614853871970627,30.53823546117114,31.795395309509566,36.914670352534415,38.09198925711168,41.45688554796989,43.1783702667885,44.19960500716213,47.59914839494484,47.04849040518433,51.09065298704993,48.7826418886365,44.32398367777143,48.24467160087498,50.79814593204571,46.555545978970805,46.04829931598395,50.22513669486905,48.79153454879075,44.52104635365832,46.77750676910781,42.2009475879579,45.919681908528254,47.59915933609883,45.01878870392649,47.42074782726276,47.94888085712943,47.24820807973921,44.08541370318139,42.620821711109365,43.267815284500415,40.06725027241838,37.58088727091872,37.58714253622549,35.64506547944056,32.7426090330271,34.95381216480856,33.96921644468322,29.58579329158174,30.122829298113047,32.995132667236355,33.350470793048586,37.427707561949504,39.01881537758413,41.96644049884392,38.2030561329174,35.02130168750576,39.92189827132087,39.3975703183619,35.961461970428964,37.61520059876446,42.11511900723679,38.74465016585204,35.705208733328824,40.13425804639894,42.62114942847498,39.24628129564826,36.57492369331555,32.396783346377106,34.29919700652511,30.197907487214625,28.61773420178075,25.76015202380713,27.267497750675766,24.363405889289247,23.82604391938629,27.333231321445815,29.995873576824103,32.52592699942111,33.7528448588529,33.23846870892567,37.22317234987422,35.49973438187807,32.098167084881155,34.81863425958477,34.43456684940441,34.085712635277496,31.02371025291786,28.96334980511961,29.25045078745828,29.196584607524848,24.88377228258077,24.547221509018488,24.30601130673181,25.02694025292554,26.24798846923199,26.825884107534083],[17.89740935724764,20.40490629988697,25.240620870145133,25.13111511523228,30.943968329902336,29.361512219544892,33.116084425704955,35.535319561039714,35.005890817823186,38.22503295099658,40.02347236071127,41.39502985689388,43.42317610703375,41.873920051541525,46.33373884398167,48.07730416056195,47.58183700193849,51.97529086059735,54.49803423912819,57.064902538262494,60.34584377653899,64.0626034920833,64.76543458413501,63.981358193117025,61.093282321402256,57.22944398659283,55.18851766896283,51.37157943148459,51.88262724791457,50.856221265551966,53.53487077060501,52.350303786171914,55.06887721509933,59.40070787618107,57.707073476055605,56.69909672401126,55.243309496211054,56.65829258856594,56.411296396285316,61.41905510356185,59.87023193170901,60.56934059197687,64.72438658729631,64.6048615623999,66.75977608057632,66.3791414999637,70.2089862561418,68.9465655245174,65.23989896768396,68.80395049719236,70.10482547959593,69.53031562692361,70.94621602381314,65.64729440087585,69.12201220765576,73.15146008205883,69.9389642382334,68.32288281594882,73.11143831860602,74.16981932980099,69.76248986633843,71.09225454011828,68.73029559023819,70.52677425654814,68.48596029480282,64.7590936205071,61.64523074150521,58.41823269528963,55.70873701829863,52.84933154388506,52.18874785905526,53.91109141167831,55.769105773996635,59.76324869334499,58.96854610320173,65.12099833275995,64.32544375681395,66.57785475408843,65.83410122699983,67.17292352493136,64.64879488055588,64.01068657760543,60.719038899547186,61.6626569387042,59.53265295788379,58.159516083632006,60.589730492948235,60.585794978432524,60.9541005604457,63.01931963657584,60.80804861146083,63.13995077147941,59.37231459497474,56.81606664864441,52.262540325056015,51.65831537440043,47.63310849282749,49.87883479356278,46.86610775440332,46.34269600169847,50.24331563658503,47.990252239188294,51.62313301528198,48.48094565355887,51.81171080211398,46.7137327624665,47.946288583933814,46.83260573190729,42.259261702372726,42.84281983612457,38.67365695410013,41.239509406789125,38.66346567094496,40.5788753324587,41.85123282479187,42.59176797113348,46.18432434143536,46.893276012185055,51.28908157324819,49.32071153136789,46.326974392612314,43.22698795640925,41.0695413341102,38.897620845924735,36.21365639237184,38.107628769880904,35.255038460084805,39.25207249043662,40.62358811200047,45.53971091900865,43.569132105102234,46.9586650154745,49.410393753716725,50.8312597347738,47.7935005878606,45.60191465278629,41.94515023520062,42.24398596225827,41.71210545261041,45.193542436187286,46.996264982384744,51.82927286856697,51.42417661135172,49.05229214804332,52.08881988996558,50.479897410898005,47.36848919926695,45.85702849641974,44.46272420383987,41.007879576274924,40.548198378918414,38.97345729960144,41.49636518050159,38.698563766045645,41.72879907089036,44.125128344576225,44.03630171811873,44.46423839824799,46.85740860807035,46.21733017078415,47.42765466828324,51.09192574253169,49.92169250776841,54.30369204564683,54.0573098623796,51.4044190941434,52.78817161264278,53.73653389899645,50.5162202340361,47.87870627371308,48.43506686306242,47.576572431790375,51.28845450313075,52.364218183598204,53.30256577175201,53.02934128464346,52.371724726325354,56.418270740552074,57.20875516236318,56.81468233350014,56.146856412688024,51.310667998561634,54.965168580716806,57.219783153499876,55.31748417344468,59.45138485276256,59.26284518011943,63.62489872253899,62.44760476599652,61.948362933492554,61.19411182356874,59.021978247117595,56.627491693301536,53.53047966634547,52.240583297829076,50.43052488660826,45.86457550611088,45.528075977894595,41.33368221993155,40.80147089877396,40.47724318383197,39.602763546499254,37.24711956527763,35.337014501952126,36.010697393640804,33.21834981013213,29.890852360393925,30.87790292312481,31.932310586887162,27.19435743323441,25.57071698220831,26.178023031537936,25.07564582085393,21.55681464413527,21.386682294884555,22.954521732876785,25.344801177774166,27.12968827325823,29.454438063529384,30.670195165692277,35.58690174999858,36.55905169614281,40.006799949454305,42.11689931522946,43.30226664046468,46.851706346117766,46.61450574493544,50.43791940291841,47.84910807863734,43.63262674202726,47.696267215864225,49.90064024236947,45.57642249268262,45.34973687401531,49.55257736244961,47.71774690679605,43.50115194367247,46.179926073508035,41.673508979984135,45.786033331860835,47.375399718395414,44.84035191455855,47.50714112054933,48.069907762643375,47.68475503465766,44.34026232517687,42.7771705339894,43.796369405520736,40.692685804950365,37.866554139601675,38.04406197515272,36.35792789258584,33.19953469292156,35.09906357258146,34.38393403854012,30.183733651295825,30.138464842352942,32.81919190609134,32.95856708395627,37.057548465335444,38.80809836631262,41.44722165793965,37.451605690537455,34.48161989685497,39.317070614480166,38.398438652064954,34.95624213874066,36.81512470403547,40.98632193296321,37.28137716839318,34.502600184902214,39.043937942751576,41.14823465625359,37.541970308683915,35.05098752150748,31.073100490264178,32.47067200294636,28.451767783567238,26.8444559305516,24.52361851735021,26.460970678083044,24.11852780670964,23.193516229605283,26.690859484873222,28.997646756690546,31.80621513279524,33.16166170510873,33.24495173800011,37.32176021766248,36.00147080284356,32.63786442444983,35.66164291162539,35.24077081397635,35.39986861804726,32.11463992064086,29.8526270591643,30.59686748264401,30.76052466185507,26.083029158844244,25.595641209916213,25.712229539784648,26.528101904946766,27.72024685794035,28.27984753192116],[17.27266606799716,19.505244352947198,24.152948710126342,23.190931200822895,29.14982238482296,27.665395681002188,31.170929013522628,33.89125915679157,33.030484686077,35.89642578365325,37.73011080807208,39.4528062056126,41.17963429772507,39.31249049190592,43.895727314265784,45.753157951494146,45.01112611473098,49.299161995711756,51.5629878809979,54.30744451804627,57.436150869526756,61.22797139314971,61.76259569152266,60.901728472708335,58.150042176335454,54.2443502391693,52.39327568706627,48.63315922056691,49.33452387150583,48.57632646576306,51.14637391312989,50.305609440096745,53.106695177684976,57.286902861664544,55.56162040661839,54.33092388011579,53.11963759695325,54.227896889897025,53.95266756100268,59.103485024001266,57.25801341997014,57.87390544637564,62.10145658336082,61.88482086586301,63.87784159829484,63.44564960656786,67.30267460795967,66.20775933110845,62.52306873694029,66.1981723658864,67.61398066020399,67.17855817057129,68.61997124472737,63.26678063879727,66.91690916617914,70.777312197887,67.39120586039351,65.9061158103918,70.70970889453719,71.5609015142402,67.07809978147168,68.42635244762177,66.14839038386302,67.7238805399034,65.6607646721782,62.064944507134626,58.755951815835324,55.66686998596877,52.7459631921315,50.01255591730174,49.17777306342091,50.81968871785511,52.88184202802036,56.81696328370103,56.272346289591844,62.488684540674114,61.74940845810604,64.18215337498884,63.478004169772994,64.81058114938807,62.50435037687674,61.87094323180895,58.83137092392869,59.76505669980655,57.44575422981774,56.038269138500844,58.25568776928867,58.48302600261337,58.54913576835345,60.805670812067504,58.41451993745188,60.699995710721,56.99392333525637,54.61323158340131,50.02054651052548,49.44097953805388,45.34602238763095,47.921627270025674,45.055251301991504,44.988180159048916,48.612354413967445,46.707784728643,50.04048679501595,47.151922638711255,50.46887490091067,45.350249324472664,46.908459758144176,45.74635498170342,41.19342359871439,41.747531732714236,37.37245364160497,39.52654953395722,36.757966981965374,38.33913142251236,39.361108649070644,39.87546220403624,43.38723650840212,43.88887027822146,48.18460703357551,46.41603067743755,43.31369735110552,40.339588698456524,38.06278889866009,36.111647253029815,33.688826974368816,35.73701509089158,33.434968919700154,37.40326631655913,39.03936819979055,44.05855918640001,42.103534049649234,45.75170792068761,47.8958176261604,49.39436676229074,46.020178640366254,43.653174116300505,39.945646074725474,39.90073153886624,39.072198490453495,42.578435309704204,44.03448478623301,48.84586880165272,48.50733147594436,46.302514840118626,49.44989894821686,47.9713417600255,44.86486809944643,43.6006525238934,42.47581552589819,39.10947782867198,39.07894370752914,37.55651011559004,40.51163769388542,37.90136293656275,40.567173075339234,42.84635978497023,42.41922267746944,43.01607471332001,45.05277141289949,44.55005979857717,45.39462041890674,48.88380114366489,47.488380567607244,51.99162168682782,51.7069441167816,48.87524815932301,50.52153930054198,51.349740053559294,48.30214197045123,45.51840957013858,46.25670086692715,45.27567631552758,49.143728289488834,50.34071863306485,51.34209560151191,51.310584326204435,50.496019881308655,54.79969331361514,55.36342157402495,55.15751130880258,54.24167951774198,49.640322883155214,53.33323206078113,55.522551553569954,53.4250760366391,57.35649174352524,56.95499580572978,61.33073665315969,60.01361459942022,59.71279000077642,59.03020921360382,57.02712987355093,54.74247034550303,51.766012578287295,50.679041919113054,49.05205366456854,44.40789775082133,44.41719441535662,40.38650052596232,39.911560305121604,40.05973451175584,39.24667779648263,36.55094600366237,34.85194094910296,35.99273273119533,33.01006207501235,29.30539030612517,30.903628460604907,32.37321807779822,27.153697413116948,25.715906106410856,26.909802049883044,25.599625022945816,21.68928073938215,22.180925620559012,23.327947418478825,26.587010388518674,27.619311719631938,29.95499282375963,31.676055950872485,36.60494306089179,38.0839208477329,41.226930086189114,43.236267708027334,44.0679250684868,47.5450030769595,47.00014566822513,50.79648787012155,48.322909477091535,43.75446400255396,47.678410211222875,49.926935978271395,45.48975086378866,45.00193876747089,49.07377353826886,47.27613647469922,42.97999434600801,45.2582926713436,41.03126768011373,45.1097839292444,47.01151431106288,44.81459219803861,47.498138121564935,48.43853357340055,47.71943004572717,44.21589983841102,43.162161086441024,44.14532821547958,40.69501414306771,38.1188268048648,38.67709976463115,36.9061789479137,33.6371822241921,36.036769634380335,35.512551097094935,31.11139732307284,31.25950996753523,34.252403257279454,34.120087325708845,38.133501063936976,39.4777776054924,42.25182398147829,38.514077824885796,35.03005766357379,39.73798848046383,39.05426442747799,35.51912271129209,36.84900179076475,41.30139081021683,37.71592666318856,34.47175544311878,38.78539182023853,41.2326316937547,37.63713077488837,34.82658923237297,30.614279760056732,32.14132260837797,27.863135909678117,26.89119793002031,23.98643070507377,26.083859851856413,23.46147551673323,22.08870267059408,25.54304948139119,27.86077098005794,30.580325817133822,32.3496692267177,32.03933198248097,36.194612898969254,34.51455553242361,31.684005390944314,34.885565394419345,34.8923439726116,34.77353222985631,31.22791899521403,29.544564760714977,30.3599206301705,29.7824207052104,25.21818961168435,25.503130453833556,25.963346013731634,26.94539977216411,28.233840907623026,29.008038604697543],[16.65093843539682,18.159882386240213,22.349423096504157,21.373777090981847,27.204253427515987,26.703353957297317,30.278912686854966,33.38023705137348,32.9216336718578,35.607526548908716,37.82601050565659,39.690023344349235,40.86483840831914,39.13999792597859,43.9476802022295,45.59776077833318,44.4713367245065,48.804113463647155,50.844003570556055,53.454726138296216,56.53429183487779,60.15714307535058,60.65468976520035,59.56852887483432,56.80033801950173,53.05514093206746,51.144547998878046,47.567364687240676,48.57170032298982,48.00971348011377,51.076109392215706,50.13949487646188,53.24210024594241,57.31781035287863,55.276001237397,53.824786903783526,52.477832062606105,53.21915946953022,52.65846216871877,57.588704742263296,55.64739814684812,56.61292566373496,60.78894209753684,60.31235777210087,62.24636241968493,61.57912343472389,65.44236320961043,64.47996330888017,60.57944141330537,64.09533759583697,65.74098653639899,65.31502908117795,66.94860703369676,61.66806316960155,65.55971242931759,69.36707162961706,65.99524813071177,64.80370225286998,69.631893673838,70.28265851879702,65.9820127153202,67.64573685321417,65.58422226693838,67.12724423201428,64.80455875202261,61.27612670241384,58.16010555374309,55.239162001512504,52.371621024865604,49.91868138527394,49.03624723771318,50.903880836264996,52.99532227634742,56.688174296655696,56.182061856119404,62.453025197638034,61.38481373124401,63.99966488582984,63.02321211788104,64.07041607914081,61.71677732612788,60.7478131857068,57.83045675291119,58.40869489762331,55.96847154577386,54.90339190379452,57.258592816665235,57.787909884032494,57.94415579252978,60.582456433146945,58.308759114613615,60.860243753318855,57.263495883955564,54.96733812183377,50.28558261646537,50.03538582510202,45.82401084015353,48.246867354391064,45.30714238389887,45.39476217343505,48.54731794895657,46.39896710849793,49.44426945747753,46.27710302223667,49.15273144559011,43.88721754720347,45.29179315621461,43.7664834857999,39.23372811455309,40.206160540612906,35.862655555583466,38.06604958918516,35.65588242844239,36.99096025630484,38.408145702896114,38.63249287552669,42.31078062206814,42.53689078956985,47.18646131410522,45.707489198166904,42.59800266479097,39.6706183010224,36.96579993773885,34.9792055666225,32.61711036196164,34.10449625716424,31.857787702486796,35.56270525327107,37.018984953374414,42.07060969086742,39.6346825486276,43.295806572035474,45.344562459075505,47.21193447664333,43.64396050538851,41.5562412233527,37.441186694406404,37.679024854458476,36.99340682213795,40.65806468034621,42.049151870664176,46.89894995798005,46.91283890258651,44.69555972303151,47.89935038719406,46.769502151846375,43.580322333588434,42.565845638118766,41.39632079947063,38.34876363676593,38.335367030225555,37.37753119323694,40.42281852771331,38.42249069235647,41.06891755574243,42.92434533072477,42.249052490306575,42.492182030953934,44.45695327303828,43.43832831207618,43.915189211452,47.622014005980795,45.79688264306273,50.35453444400531,49.62843447287471,46.55436494353191,48.0053388480463,48.58100679894512,45.43267799977355,42.85234008519688,43.72877894508402,43.06240405288959,47.135416358087554,48.57889751644456,49.87809270134689,50.06240398714273,49.56676315431985,53.84072335820776,54.07163367731296,53.74334316378457,52.456813104434865,47.914537727967776,51.249678559772036,53.23253707457576,51.160320932877426,55.27953742807812,55.06720990910615,59.234164982570036,57.72691217809446,57.267397197733374,56.39920318825553,54.4761273098262,51.9897424030954,48.99192613617471,47.850801545774445,46.053255675736146,41.4849868540718,41.56585066298123,37.526327188871306,37.47886899816453,37.531855983092086,37.165752506861004,34.436772801728964,32.3125219709622,33.73266458599172,31.108849949331628,26.852675037043756,28.47762196980634,30.618512456345375,25.408849439493732,23.591036918610897,25.105171487153005,24.39850323567254,20.09326580828637,20.205704015362347,20.791775836798983,24.47939772695116,24.442289334832537,27.13625864101654,29.160970201192686,33.86759088568947,35.51074481668465,38.50073719070868,40.79868157098134,41.51530538975373,45.067747719982776,44.63918607734366,48.18689129413953,45.52288759995837,40.98784117498206,44.95763767177965,46.891724274349635,42.32946706446844,41.96685508360763,45.98571742401195,43.84868748373789,39.57219904161834,42.05322510036648,38.02895136967593,42.47963862943848,44.436699006254194,42.481536008362426,45.449187681905116,46.64688940255788,46.08914342149453,42.30611064245684,41.45375502402267,42.834875201016466,39.322174117360525,36.52624289461338,37.5303776922786,36.032283780439606,32.42702838334222,34.77648848080821,34.716784642792014,30.460205528623717,30.061720148140793,33.029491627101564,32.44810168163463,36.37444246758394,37.58993791675,40.10893759821025,36.344012749723454,32.748018106245645,37.26547606333064,36.35178786255483,32.76949252394338,33.95829210978312,38.251354943746804,34.463111245507,31.173634142798566,35.44940868316894,37.74938840580333,33.991040764333256,31.1537295929062,26.997608686552315,28.198117366952406,23.850653845400462,23.196937789751985,20.436001914588445,23.027663224464966,20.91051515944088,18.882458655739217,22.2662964259573,24.226742196243396,27.163924215045522,29.237395015801454,29.389994905324635,33.66203802141878,32.31782091776743,29.783318367016502,33.411415268032194,33.60044463227326,33.9908219696996,30.064645210240634,28.472651300455844,29.90693183074067,29.235627923517644,24.336700002499395,24.849542970849072,25.95659852882708,27.140920737497634,28.480761899921237,29.387531741698883],[16.068718494505354,16.90375267544814,20.554919322264023,19.115433338715793,24.832663820176478,24.959844577982093,28.393321489926432,31.814163393394697,31.455583651535456,33.850806796081464,36.29702008556696,38.36783112657135,39.07329247106212,37.33167831466116,42.28250396144128,43.83482461098782,42.393781549131454,46.69088453544114,48.50547596902987,51.08359031452355,54.07636913907648,57.61594469841262,58.04116351647163,56.81457162667845,54.082475249114296,50.423909230415134,48.54640284473552,45.10605847012802,46.347207581322884,46.00426696401149,49.307141868272254,48.449825093484215,51.746359516448685,55.68084131367109,53.44865095596882,51.789937036449125,50.467101694780524,50.87668004833883,50.150356767658295,55.00201386576478,52.90419827020441,54.02370735616672,58.18537229939049,57.53910764037451,59.386566503600044,58.58619095208284,62.45445358246815,61.61276510804188,57.620710232532744,61.09360552491642,62.8876954166249,62.518266367323086,64.25494241429527,59.002906251037906,63.07881921515872,66.78279809362564,63.36260337142874,62.37782113233835,67.21186694316935,67.6802357526678,63.459784598094245,65.30004505842594,63.39687874399006,64.84577187217933,62.37276980308005,58.93533571372271,55.87958704158726,53.11178374630357,50.22444810049126,47.992970923819584,47.035540039508405,49.01928267986041,51.17098950194944,54.67803735214078,54.27180648061937,60.572872046444544,59.329381615052476,62.1059820226861,60.9876002202231,61.86629373917439,59.57810220679326,58.43025728592327,55.695601021826576,56.078617270024445,53.50159909513742,52.60825138623493,54.944370103278686,55.73157239173209,55.82153374380255,58.7434977861061,56.481959130851166,59.16838312998467,55.674525977745574,53.50416783064677,48.77987727313767,48.746442234807695,44.46504972337345,46.89995819703005,43.99662789795484,44.37202126015779,47.10082633161934,44.984531889818264,47.70842708884329,44.52600399966772,47.14097752605105,41.82115196058618,43.30243060395961,41.58265366149799,37.104834598689784,38.265735580426856,33.87369485507949,35.87615870474637,33.597499290498,34.63100104260479,36.16076825976696,36.129403696568104,39.85132107658465,39.85187507672749,44.65198960559921,43.40991064383615,40.282538714151876,37.44158148917668,34.46209947572338,32.544278086451904,30.341174756044037,31.552399989140685,29.615515928692258,33.124352638329015,34.60507419151703,39.68995355477383,37.042947902402524,40.825567982448746,42.659097289015044,44.72943468865162,40.91891020686271,38.895455644234225,34.57693054606135,34.79833301215066,34.06848709032651,37.80784579950294,39.0380373141943,43.884935282886936,44.102663844664534,41.943673646432615,45.20386707517097,44.3190429774893,41.10244938840889,40.33449472317356,39.263182613704025,36.46276588878285,36.65850780679218,36.060874235026915,39.32883959408865,37.795201296958346,40.22916429637708,41.76330568765205,40.795868171073124,40.91009777066103,42.65596346783365,41.41785050100657,41.52425339282719,45.25443882643829,43.113799596581096,47.7302067153876,46.768894519694825,43.512617846034296,44.975193221062064,45.38783587602424,42.275060764239775,39.72840740683367,40.743966972450195,40.178414791654845,44.40497611918902,46.02040978832417,47.49688207397498,47.90379609614908,47.514337550600786,51.86474832393471,51.81419738507389,51.50807342875278,49.923455161732164,45.53931199373948,48.70047448364092,50.54718312444349,48.401878704545425,52.50785656116071,52.29978858716313,56.361363997421016,54.71016508745133,54.255842974465814,53.33779965183755,51.52913536400988,49.011255668920334,46.070219768431436,45.01047270590972,43.24396440579549,38.685151084222845,38.98418674506405,35.05941254448645,35.235252353978375,35.52337257343947,35.399705048589695,32.48585181712691,30.314271345840012,32.132310999995646,29.596631776772334,24.916857107677767,26.916280497696874,29.587918596980884,24.195723126372094,22.363933124208877,24.37033009729375,23.837555760964467,19.249436934880226,19.61888129962306,19.633819242661396,23.988146268525576,23.01766800655461,25.77173928482823,28.229875989539504,32.79164585194845,34.85101864421191,37.52164153270367,39.80779761708415,40.22680071605877,43.72532164679304,43.14142898701486,46.551352664927876,43.91543307848364,39.192100927807594,43.0591828121657,44.89814019873647,40.249350046344475,39.76339605491139,43.65957670026833,41.44724250216059,37.14849240763134,39.43737455794801,35.682358019597416,40.234018068160985,42.38645000035112,40.753165798696905,43.83224013919292,45.3641084389523,44.68427820357521,40.70875228560985,40.2619147131193,41.793838479193845,38.0827518050889,35.36187608077883,36.79407642888553,35.39741109602254,31.61856951398831,34.21353890064882,34.488492482617545,30.257252678706198,29.729431200591108,32.82981352264033,31.888383689816617,35.66003566680393,36.54034028166217,39.01320346425087,35.457398861596296,31.520210689564717,35.81615582866198,34.98845629005704,31.37173237987908,32.12888272902465,36.5137516066445,32.79559503489843,29.194368749769627,33.2529171784716,35.733952514648266,31.987309968383435,28.935628787615524,24.6763124060333,25.898877420425602,21.400675701085863,21.32189305869427,18.20821876226203,21.03954393054327,19.0251722969008,16.431034911637354,19.67377486891116,21.46839252525346,24.392493772382135,26.825263861620506,26.943678838730523,31.270953436127563,29.90776602507756,27.855072982107693,31.75275663621088,32.27259206862586,32.7782479313876,28.56416768137348,27.37258490241315,29.149997899097553,28.046920496412607,23.132573389584742,24.18567757240916,25.799225720069273,27.152817204956346,28.54876540022694,29.629696673930393],[17.898846889505762,18.155022138322646,21.18629685005506,19.39208946329092,24.84225817014055,25.708036607543878,28.956765025442667,32.66306695250387,32.38568392656615,34.44971975643321,37.080000768404936,39.363450426533916,39.611072253313175,37.80430813103739,42.87397507936934,44.355250667154266,42.57667826357856,46.789706712127824,48.29256431516646,50.876953250320184,53.72119346454129,57.17671140324787,57.46817438288307,56.049259523647194,53.4146440094266,49.862441552398614,48.08235270527399,44.83054053904764,46.362975821218235,46.28860315241523,49.78041383047753,49.055125598482356,52.520451697559665,56.29494692939119,53.892195220099254,52.0066522512693,50.74293306093628,50.762050167450475,49.84083861317117,54.58562772980746,52.26888651843525,53.570456189977136,57.71296390143851,56.83758809047767,58.53474194665314,57.53540567210966,61.406659050913525,60.769232839588845,56.65536454888041,60.05979892988237,62.0830870475806,61.79096674127139,63.67063652657036,58.46983733924728,62.77615942699447,66.33490074142254,62.84924232475556,62.132881850761386,66.96255337938388,67.18713348366244,63.06060566968907,65.09806916080436,63.380837778463274,64.67495733468975,62.045994259086505,58.74766829025132,55.71019994438179,53.14661924246042,50.18232328470102,48.20966331712906,47.12278394172848,49.153038936204396,51.43713135578711,54.74781724353154,54.51971933721498,60.83795498545895,59.45709291548804,62.4164751315829,61.173370597230615,61.87441305222218,59.68488431247508,58.34029028517605,55.824532519579826,55.97279850164557,53.24193857143094,52.562221770444,54.857484742825974,55.94217653069071,55.92920109067756,59.14787239965399,56.873112644633856,59.65530160423414,56.27530207213563,54.256978360619414,49.51137613783648,49.65240517605074,45.32625880313033,47.82187749797691,44.98300646584481,45.626945944728604,47.96668149042918,45.88775815287643,48.291101329734516,45.08612812158239,47.391713475490434,42.02439654449566,43.51880480382259,41.54534081465725,37.15486195693874,38.57801465853194,34.19988905962642,36.01175890779802,33.92113016052851,34.59703217084775,36.22369372215652,35.861898637201044,39.59170560724464,39.266171865585605,44.185546326503086,43.275381741649035,40.10909254566122,37.42109421310385,34.12953665657307,32.371499019015175,30.42047164740971,31.298854340448045,29.751261421003278,32.97390989524604,34.42347007682394,39.5004741370283,36.526621658623114,40.385781283051465,41.981600272632086,44.35439035687054,40.275041942669546,38.40596856031898,33.79463568969655,34.04661324262117,33.25595051679709,37.08387037643712,38.01428898405195,42.83199006437584,43.35860268277448,41.32103992397778,44.6572808305771,44.09790161353563,40.86557528469686,40.41112221330945,39.465553566591566,36.95306728872708,37.35109552824481,37.1080972260893,40.539925949307666,39.39717210075291,41.657894113828455,42.915554598699195,41.68756948641327,41.674523109736164,43.19721100530856,41.72204972793434,41.40588987808153,45.14894830345716,42.60924417663453,47.28790781658445,45.991899161813656,42.46379355277362,43.913638238205415,44.03543739930483,40.96373609041597,38.529470517966416,39.76274637126152,39.38799028016457,43.81537656865131,45.6583606787476,47.35908831507258,48.021823800621306,47.764858164642206,52.17413802605105,51.8075001752007,51.51125132149991,49.56867359720069,45.38060295632897,48.271359309572794,49.916908575623104,47.71106673931447,51.82438864710569,51.64176712818842,55.532726593766284,53.657173750631685,53.19558889692415,52.17249115974523,50.52950581452423,47.92394361848746,45.052768443888006,44.05597493255373,42.24488415511834,37.76610998560337,38.28161748220472,34.47727025596574,35.02938480022425,35.41432477827256,35.6568879888113,32.655176088074306,30.27900016872149,32.430570323963195,30.161529188476507,25.073085660273794,27.235839817806202,30.44037293457342,25.09470540026851,23.120475950188236,25.42055835018361,25.251096944707196,20.530208563458668,20.776584067899602,20.260215808664015,24.92434483652388,22.928678401997185,25.927874430716294,28.671873893228927,32.933082538658844,35.166076929699955,37.614223322108465,40.088837836415365,40.350674977996235,43.848794064766906,43.29097641267306,46.45621553174948,43.72238654437803,38.99842390432613,42.81227772256747,44.37449983869939,39.63454058629664,39.184737917019284,42.93990955522372,40.44852323745946,36.19316586670965,38.49181325567797,35.08762100803549,39.876198646467806,42.15555266185914,40.842662593257515,44.09666669127552,45.89986329600564,45.24324362771974,41.07914602311823,40.92275609591177,42.686234648622325,38.89320225527709,36.14645690465578,37.93527642858631,36.70635999434331,32.774638368706995,35.397474435462335,35.98203842224607,31.87944284029382,31.08572976922614,34.1527999015434,32.89602835234618,36.51581126821746,37.2055449449288,39.482204192992725,36.016763296174936,31.968945613497134,35.997111264059875,35.05033565492101,31.448477296856282,31.927777430900456,36.16317213296432,32.345777739904065,28.66022659175469,32.523885288847865,34.916719409563164,31.055359979217737,27.94482765012947,23.777324731895085,24.606881532798543,20.062038529563438,20.619966171584615,17.618539098282657,20.8966461295923,19.332235437915593,16.05473270560306,19.02468500963064,20.350025811535335,23.381203199258774,26.246694130679778,26.60608963682324,30.96016397642314,29.732709618901108,28.197835425841678,32.36302823854465,33.13850725591996,33.85313570933306,29.415961316043447,28.51522267272994,30.623435730839805,29.24961472998357,24.34652398735129,25.728391211625095,27.707560079658577,29.17224453211483,30.57460308003763,31.74527307460015],[19.6516052933095,19.23187435831116,21.467165970933966,19.695138494256526,24.603458031550936,26.44556379095115,29.56895208364086,33.498693319928485,33.555732864852345,35.366146633306414,38.25341806033374,40.62071389154595,40.36744733540671,38.70390314581938,43.85990182016883,45.14124457065441,43.03116532642889,47.19274306869371,48.43276465332531,50.87252453985719,53.61217947571193,56.873803257442724,57.102837614121384,55.47143937035779,52.86992883463718,49.51945410900534,47.7328332250931,44.72312028349797,46.539402574963695,46.67490857095571,50.5406660331732,49.771433214398165,53.4509094949679,57.07655935169672,54.42469127540753,52.34753861906356,51.000895582062945,50.6455717726637,49.45965938882036,53.93874549516098,51.51865149890491,53.14415625876461,57.19466282233109,56.06050355382108,57.66313812996182,56.42757628918429,60.2752648135724,59.79682126910547,55.50061631785883,58.729635769747965,60.98795511121115,60.71748569964826,62.77455503104269,57.69075371683461,62.208155125203675,65.66533670934814,62.207123332807,61.79469643594195,66.60335699639646,66.61238020328113,62.68813067174719,65.0057070099434,63.51323091310661,64.74212053337727,61.89462474362815,58.709125409011456,55.86521342851304,53.504054626937574,50.607934597419636,48.933032143155735,47.803750582606035,49.98889680828012,52.28627768114024,55.330707025251144,55.166499223193924,61.46496452758237,59.812561933029,62.91975702382715,61.45009276956516,61.88167769302543,59.692749412539285,58.04952603601245,55.70191001602776,55.50781846240356,52.6745714591572,52.332859336180746,54.70811729867755,56.08318386642399,56.12484677169998,59.66657195907441,57.50558334176644,60.48224260056974,57.23899871195355,55.33137337383084,50.57552974600257,50.9889084605312,46.633924175869424,48.983413448066,46.143013202924465,46.930919534735956,48.819539943250795,46.59041695744716,48.6745575442955,45.29309000766317,47.14611315359525,41.730032251664106,43.071460415261036,40.7646688983202,36.50272304797099,38.311383694289,34.07234784891451,35.83395632054753,34.141343069547794,34.5157652347666,36.45531858584403,35.78839287022557,39.57620170411912,38.952168745493104,44.10684446284219,43.52046655525452,40.40450677817336,37.844813775708765,34.216808011661456,32.51326731245467,30.731197171657165,31.015832301961932,29.669546682458797,32.482064323589185,33.72523178751666,38.713804387435594,35.28488667228026,39.10423740466877,40.52264339084977,43.267016850961404,39.0109268112351,37.47020064654664,32.50847600626514,33.024750860624096,32.371978817352776,36.27485148318849,37.05690258831338,41.821868004520084,42.722460359505746,40.734601763732904,44.08084339707894,43.89813562925333,40.65084802582653,40.480467989453125,39.54254673884645,37.405512785334494,37.84516397408961,38.110208524477514,41.55895634124624,40.939174394950115,43.12386179422571,44.00548095900752,42.57032555858893,42.26064108191163,43.65833574948649,41.74721425547099,41.03929144846702,44.9050494073756,41.95157288980827,46.62117999272412,44.88250839097864,41.11625476675763,42.366951694794636,42.176676606975754,39.060244053829955,36.88137327650538,38.284319771904194,38.252089883247585,42.84126976194071,44.92372825984629,46.90359842948862,47.79199165638834,47.8268853330065,52.16182522328955,51.4638953767516,51.071920094993466,48.76251954267774,44.726396279271576,47.20611943792001,48.60341008073027,46.428755496136496,50.66439439205203,50.653733336856725,54.28966033460045,52.21311488149066,51.61197741440777,50.40613611458064,48.88659236680757,46.10249171061004,43.261632457815914,42.24205930247675,40.284085357651264,35.966301100595636,36.60473343394629,32.903370139530566,33.94467287169059,34.26800782840689,34.99438375382063,32.01974040419464,29.28560279137924,31.71882625909046,29.9011013734843,24.42615146997903,26.576905265004793,30.375448771867635,25.284748749546402,23.07427817057395,25.603983853782065,25.998071190522268,21.24782552248476,21.170131809367987,20.027985215143627,24.878256862754338,21.679539550854745,24.944507128914708,27.94723544462302,31.776294461149316,34.16820157012252,36.33761857892985,39.04490849254728,39.15816876973726,42.657833507632894,42.21057438041138,45.04813301266277,42.16812248183508,37.54679161520788,41.31814407125349,42.50300422538929,37.689453512146066,37.367193538713494,40.97515294748119,38.120305753635044,33.957995622448415,36.40978640870678,33.36792097141322,38.4733972138861,40.79990896037708,39.80986755035762,43.29240078670164,45.34995464983407,44.836820905061444,40.4734979616555,40.55905629831322,42.658291896027194,38.87370152175595,36.012870129019824,38.19148873507539,37.236876727418455,33.13013873472026,35.64533739566627,36.63077128917696,32.78597291820612,31.564369086011517,34.50437566767063,32.86387463806593,36.26730445809868,36.781105275230765,38.74646779119028,35.37211377709886,31.308046278076414,34.980351437602366,33.82959309015242,30.29110739032475,30.526238499725075,34.47190813932346,30.532442640208703,26.86339619446956,30.510748662592952,32.69611883653317,28.720683651098085,25.62251684822144,21.67193664766453,21.975140783538006,17.48359804331058,18.71009311458131,16.05603353039502,19.817075924114835,19.004674339866053,15.062659871019648,17.600858466374596,18.249878275271747,21.433774994879563,24.671569330359027,25.541867236800297,29.85973704264371,29.015428088439567,27.94951950545308,32.39424597524819,33.3509564709248,34.48304870885895,29.85615941315224,29.12750662436234,31.689067509629872,30.244929045123964,25.31405280428969,26.851544514905918,29.268361680697478,30.85125899472834,32.247248159060184,33.48233567808539],[17.131844009836485,16.042547641974668,17.554090186300243,15.27602122262235,19.945337151377885,22.171371938374687,25.09894578951093,29.175248195791422,29.372448790653372,31.004439760803198,34.052442633480425,36.45171069837903,35.888300712873765,34.374217682059836,39.55101655929823,40.682806211768415,38.45558048510315,42.6341722665164,43.897194090873434,46.19856581193786,48.990995611744886,52.17302563023242,52.48897747804383,50.88926249289941,48.191179446727595,44.887033083478265,42.994088790892455,40.0060496007255,41.846832600959864,42.01333338978942,46.077259672948415,45.242408748143035,49.02956104162987,52.57495629474644,49.807835556124,47.678454259344335,46.2782091113121,45.84559656992623,44.615696674534625,49.061109134671696,46.69497722819681,48.36023738461338,52.380319730105356,51.272430880857875,52.952311778230516,51.7746077620621,55.61729834256409,55.03307875061465,50.75728895045164,53.99080320516509,56.1698684558383,55.87759543379386,57.905897874306056,52.82310723755378,57.32755444373303,60.796642258948786,57.370358184274664,56.95473967529889,61.759281457639204,61.797453641731195,57.91644258618191,60.285213412519944,58.82870700583765,60.12876480846427,57.22635068947266,54.00897637260468,51.320667817982375,48.965343987565994,46.219539021065586,44.62667949672025,43.587749746722764,45.95640470988918,48.10261067743873,51.02816105926136,50.74998186887034,57.0186935374066,55.20731086143646,58.328030264033224,56.755423011606915,57.10358221248945,54.892781486949666,53.19134721918705,50.886177422158184,50.65015678268839,47.79443082291615,47.4861957746909,49.88763117596256,51.32104115887104,51.41046561985956,55.0466753559409,52.974562914529216,56.07600836810481,52.8973413368799,51.02096057737194,46.26917054960592,46.877340098148224,42.521228390422145,44.715451941235784,41.88560980826682,42.829783509504814,44.39318548630403,42.19357006067281,44.06074860782057,40.72308467177142,42.47546919403835,37.08403905175243,38.575712994448985,36.27857659925404,32.0639873987745,33.83646515665825,29.54961053498969,31.106169047038883,29.475899816466764,29.715561123754355,31.767838588854765,31.0602217774786,34.90220014630442,34.32128482366154,39.60991089775702,38.998839672010135,35.96709387425969,33.38224128143969,29.681490435224173,27.877043690924108,26.088454507911564,26.17661085616453,24.973640937770515,27.69030003428437,29.02305880355035,34.02958674209214,30.701743651679852,34.65774627355667,35.953264259750725,38.62545515937793,34.2811599080083,32.63555076630873,27.732675936655543,28.157775610637465,27.530397744874406,31.423465736269304,32.373777031856804,37.168733308324775,38.00892685068888,35.94122577736973,39.25591386732132,39.091241633133,35.837210180052885,35.71208238627248,34.79280924582424,32.80731609074339,33.37306646668469,33.890557583299916,37.468361618426066,37.25525370658841,39.217804950675315,39.81809698920944,38.19567916261487,37.7939691100539,39.04952633993761,37.04246937941238,36.19156373431877,40.059699297436616,37.0775574043075,41.73960799377037,40.049575405673075,36.34383804358538,37.637861106704385,37.59007417485187,34.48583373501975,32.18052635398709,33.52854929372321,33.4061960901821,37.98409190742994,40.05718056711435,42.049292720794064,43.00513408808858,43.06689290686717,47.42522644281774,46.63250066078227,46.274486563860904,43.913962266932984,39.9368625440131,42.463721407930386,43.89301926968744,41.658889242637834,45.83018754980341,45.79239210910197,49.47342543578864,47.45670380258813,46.893295176836034,45.77006761590842,44.21961161655069,41.541482573083684,38.721211932901724,37.79913835052389,36.030609072801965,31.598326695830103,32.40665477293224,28.839149924233073,29.736612077656794,30.51100262527289,31.15423360073774,27.933817271984683,25.54877805541593,28.340389656486487,26.316952853734875,20.70941075024064,23.479964967192824,27.470985430457468,22.12560241319691,20.300236395286344,23.350403200932313,23.489023139096446,18.729826955441073,19.48077486797145,17.956094011443703,23.480863405131885,20.06579350400379,22.792579928290028,26.209098725731593,30.096531727469714,33.1020923182073,34.864245107178675,37.085725081399765,36.75177631143154,40.03632634832092,39.14025743009522,42.07504607381527,39.51705312315378,34.47511813863609,38.01419159359618,39.50286297374488,34.714236154823084,33.97521728311925,37.47909382432069,35.04366556680187,30.784454501534903,32.62395855783139,29.668303845775398,34.4912096311731,37.059705964551945,36.29852158736195,39.659771648469345,41.99789831188646,41.13540130120812,36.72956433490338,37.27707671371445,39.25094922431707,35.22616561949082,32.68526296310917,35.171992334649154,34.1745504171581,30.08775431034067,33.046229169210676,34.19530280066575,30.323358723533158,29.355876940334827,32.54281456431361,30.719320048829704,33.91595626668782,33.95166695258934,36.13957358633801,33.20947957688853,28.63509428801552,32.136176245026135,31.48807319329387,27.94972546222201,27.556089862558817,31.95427237845659,28.526898392972875,24.27464012041071,27.5873818956257,30.430439140543196,26.837929103838114,23.32862501274682,19.019164033321907,20.234086419885,15.617305860164251,17.273267251330573,13.50156702291426,16.81399159952828,15.585235800914065,11.47223044150638,13.782848989474385,14.751779153595303,17.553489505704523,20.950290510997434,21.218066129062517,25.53105720438586,24.405030018492898,23.74394573370198,28.254013908521728,29.55116716095656,30.554709579682072,25.791828336155778,25.585584485810198,28.27074691825861,26.354117182545682,21.66543044024703,23.806881527339463,26.581545018616886,28.26989294734435,29.715739627515493,31.145250394171523],[20.857194639129577,19.557357774158568,20.50119986296387,17.587923784509766,21.714180405493753,24.456602251866286,26.902020164459614,31.21465447672729,31.202857155623807,32.27142460832689,35.367614004279794,38.107348381030995,37.035454083599035,35.241088348110694,40.47430653459189,41.63502643635519,39.00140071598532,42.93806175238116,43.690119526980496,46.13020910896853,48.62253414267144,51.76860137348243,51.81039537504548,49.975022763799814,47.52255231288108,44.313411331695264,42.71070175960935,39.99104989599544,42.21417512232452,42.811272141476465,46.83994103785378,46.39165556989046,50.28224242820103,53.558381190376025,50.69710134021369,48.25782471529336,47.12261096833248,46.1439160506317,44.74202144138917,49.15090781284111,46.371025626840535,48.10773085638722,52.131384686011025,50.74290245550031,52.1227695528546,50.71255733027602,54.55592426389483,54.32116418693712,49.984482382214914,53.20911795404179,55.68627755781015,55.58919187884085,57.75028980061583,52.71551444101664,57.51571806142767,60.70002471708883,57.10390229592036,57.027603450149975,61.79999886797679,61.46445645872734,57.62849827847208,60.15331938557883,58.92376122526537,59.89888154569901,56.879668505330976,53.92070588033358,51.09600719205579,49.05514294982782,46.086771362161244,44.8303263883841,43.54338487365988,45.821200328274415,48.2338529137831,50.92831441481724,51.01711277712602,57.27973585179413,55.44836877232681,58.81613480881828,57.20877892251646,57.418410512673674,55.47995995943212,53.648927229827486,51.73550545037996,51.309588966677396,48.21807288438808,48.066259026172474,50.233073376194035,52.061289217023266,51.82855280486851,55.78513441089773,53.578334966925084,56.65852368736153,53.64139737999756,52.03000478033509,47.31103854233612,48.02049094765796,43.66601528221649,46.12870371186322,43.506812572999515,44.90141548755309,46.033182048199265,44.14349059069856,45.56541110017178,42.4532173782122,43.93251979107291,38.61021442448764,40.28329896677719,37.80348939682336,33.798227599845035,35.71258769298057,31.444953353960575,32.504427586119476,30.93901285751789,30.60056642708672,32.45750305215801,31.26790431066378,34.94648250640197,33.86530436818198,39.08164837749229,38.9694458532616,35.85743629198537,33.58953293136767,29.586869109145894,28.208661480935152,26.964605577650893,26.873252689744024,26.535799443300295,28.85693571196848,30.30787069031942,35.22214452334511,31.688432595726653,35.77931603894203,36.599882572929296,39.56486210113964,34.817339103162176,33.23690421668856,28.129629471209345,28.28204841332771,27.334845390969658,31.25074893078792,31.51788820576848,36.18685347111618,37.41243520326495,35.65795555580536,39.090384926783685,39.343542021634505,36.14579864014997,36.5048733093028,35.92695981000399,34.28692694665869,35.288439587334935,36.04051167399765,39.888665625194974,39.960439669005446,41.57803981709507,41.959126977337334,39.99564034456824,39.64715758398248,40.46742664845409,38.4365623456771,36.98465820828881,40.64382947714273,37.168610496510404,41.9085516684999,39.88358450758746,35.793524989231535,37.2726545306002,36.789710111473624,33.927030217082226,31.67917934328419,33.4042326856068,33.39176317941577,38.210603943684454,40.55760506324566,42.76226999190115,44.09020255419957,44.139345060895494,48.653403450050206,47.46529982437177,47.2547821126557,44.444657241285014,40.883646462427926,43.144693541772874,44.31121572220562,41.91322766113281,45.88051592964238,45.703416386755165,49.18511752441235,46.85137725134405,46.441752325490235,45.26674480042495,44.04531445031435,41.38637612256539,38.773063785651665,38.07948579963702,36.419281393499915,32.130873969601396,33.383729732730586,30.157776904655936,31.427274114319875,32.51905123614392,33.48329448530498,30.135432480187614,27.791636910704522,30.956810330962043,29.135672147223016,23.335485054379944,26.34579695815505,30.684840986513105,25.43373325069729,23.68570191787334,26.913093246714038,27.172747237852395,22.47181404573917,23.25808447308303,21.448616705385973,27.03942282906261,22.888952001602767,25.700234595722968,29.30710459622725,32.821869812809155,35.9584809467012,37.454605472189336,39.787758604471826,39.239140555431774,42.43533703329865,41.47964790312827,44.12658883616031,41.56579914685822,36.520847611573544,39.864201473935296,41.063114631454546,36.250126745666385,35.45400617099475,38.662178803321986,35.99288710615631,31.862473279810686,33.4418855113965,31.116405113583685,36.00890753940427,38.791879470056706,38.490079545777974,41.92441304294374,44.57974027613892,43.61387427532694,39.0946276168157,40.055747365191245,42.12809883956419,38.00062190247251,35.61815631627307,38.39778353689787,37.484675700103885,33.391359659505554,36.440663755673334,37.77437223804946,33.989651589382994,32.97563673178888,36.13495675459022,34.117574286421956,37.121198130450274,36.91415014523798,38.941855078801446,36.2130423183066,31.556859005335944,34.69087226008868,34.02696273819166,30.591738035953473,29.78918334103873,33.98714956132879,30.6041795397559,26.295038678080726,29.158512138270464,31.933464545694015,28.33943677008239,24.8091165936125,20.777338957554107,21.462226640044452,17.035105395998215,19.55518238335729,16.093407588456706,19.574634632340643,18.708569800960248,14.261145927511755,15.925537821619178,16.216102584172173,18.819346769550332,22.740926618553374,22.99145585431734,27.15022680183457,25.966692731038464,26.13789991376162,30.729283422462995,32.369227700327365,33.31783775135023,28.472960489718783,28.743560819987053,31.501940897202996,29.148224737231892,24.776444810815015,27.312554328789563,30.21627217838037,31.928361278213206,33.34811783588411,34.81111415476967],[21.9572812580523,19.98854195053087,19.7932617992826,16.625369170805552,19.70475731296615,23.378597767324152,25.382330251058544,29.839152707021363,30.112518305324993,30.758635601726787,34.07109859090914,36.875387660019086,35.19024496834017,33.60051275618421,38.809361194938944,39.70978797751204,36.74124170372996,40.55833437985127,41.05717771515468,43.28332903456934,45.67604618821896,48.596228735945594,48.620836077578296,46.63428214939118,44.18136653476892,41.1945226645176,39.563222695504734,37.11112343844259,39.592136440130055,40.420884763973675,44.79363264772637,44.32923209509114,48.407241296670485,51.45674104157866,48.359965006210544,45.73177600615978,44.552609388272764,43.17825341571527,41.539551165799544,45.69482295758749,42.823298767179566,44.831253773128,48.744026706406764,47.15097937430057,48.471467723010704,46.90360927802013,50.71429268573884,50.565110616362055,46.11419155338673,49.21067549357492,51.834991572546514,51.770067602789105,54.04985003744522,49.1189480822742,54.083015538247345,57.15268597456245,53.583965051197744,53.765513657885606,58.496438878721506,57.98219466087656,54.33996892686243,57.10479356024131,56.09307888695,57.02901831527961,53.81785253342789,50.96675062863396,48.39611550496137,46.56043298232432,43.751878183504864,42.82249978527681,41.55774798293218,44.03895056707971,46.35309391871492,48.721862258900245,48.816819336176216,54.98951016442556,52.868830643699724,56.35528594595021,54.52702888094421,54.47331835335884,52.57092039384144,50.48724265323641,48.79715448523718,48.07876618465145,44.88202440585185,45.01736173253181,47.201037091778765,49.31699520641031,49.111325385652805,53.37067182562313,51.30443733772638,54.57615546730216,51.743410643577626,50.277509482939635,45.61424550354302,46.64526165947603,42.33315642695502,44.58911574424172,42.04281449331075,43.67921064061491,44.21327370999577,42.32463684332468,43.28751702554541,40.17453067967532,41.21149278134661,35.962690288719294,37.65882162327399,34.96738188351694,31.20991826762058,33.34272437453331,29.24196147573622,29.971991255156215,28.78862707036,28.016339771086507,30.106855720656206,28.592723914810897,32.25641013182955,30.90953888263392,36.3247596373357,36.51083255366736,33.54228936992826,31.4434068153758,27.173267529026678,25.876397750643896,24.906184747761777,24.167929175337083,24.313805056200085,26.089033013551425,27.452981531977613,32.19544204712525,28.438936899801266,32.57649051128245,33.04642638130041,36.24152681426757,31.26585380241856,29.877313790629856,24.58746406050198,24.790613171530374,23.917189717561772,27.83045389780515,27.969205512474343,32.544780819247286,34.07041385857525,32.36767295990511,35.76326428414784,36.38078297357932,33.224225555235286,33.90934440039774,33.426942164838756,32.26352993636609,33.443300486462064,34.729197566013724,38.63643881243341,39.35037237415756,40.687265655510686,40.601585651649934,38.35571949994019,37.762841251838665,38.30595709108659,35.938180649925144,34.00788751790922,37.66403871675577,33.81456689868559,38.5057936704275,36.13628312207959,31.875350824583766,33.26769363175844,32.5768429098595,29.76739192930528,27.6404354544728,29.523830177976592,29.71964625798709,34.64701379394505,37.19587552910635,39.625862132804926,41.21575185630765,41.48036480897516,45.939250904423545,44.3982628265792,44.178262529911116,41.01647049637406,37.728581831644625,39.663332772392174,40.618604639562946,38.178489079830676,42.114815142674736,42.009622853656296,45.28915859236047,42.82982249103529,42.37008444470715,41.123587242594276,40.03851102695158,37.35276707610892,34.843235943560614,34.27494782187732,32.71251694601691,28.531884363944783,30.11243719168937,27.227751180456092,28.778068903471627,30.233810676221985,31.489921032920797,28.044473253149462,25.83308603064135,29.418791565433093,27.834172111003692,21.930783507736056,25.28863065264365,29.998182254123307,24.969418654326322,23.46130195786947,27.01410541833851,27.418344458365844,22.96405160898201,24.04210930994557,21.75116615805455,27.55818986028276,22.7293845136189,25.17148085571982,29.08125686939539,32.21039860328778,35.798150172533376,36.771594123897636,38.8605999894634,37.87935181960787,40.84265472933357,39.628665316910066,42.04824224982733,39.68220594801153,34.483492896055296,37.513404315344474,38.62835345408026,33.87355409531192,32.83089253227295,35.73575333551793,33.158487749238304,29.120635071689726,30.193206789058095,28.400282045097345,33.18362778809431,36.185374178651806,36.367611099905,39.80147304345534,42.83128135146003,41.69640042220424,37.0846404596316,38.58888000062614,40.748676857485385,36.52326063431112,34.38996879286737,37.594640414484864,36.84542850781581,32.7764734468797,35.99311602217896,37.65201257390765,34.10147871958219,33.04395464156677,36.202509705909705,33.88329360584065,36.51570848016943,35.839630747186476,37.76845401056221,35.50480509267153,30.60289138049211,33.23679968639866,32.835776905444746,29.56658773968416,28.08892171946686,32.284025590946115,29.325746551033465,24.734368777698837,26.97136253717156,30.040718186764185,26.795645709430858,23.09039588461846,19.211867872452604,20.114116066930045,16.027728346178357,19.274099854416715,15.620459383751806,18.745019647709594,18.20027000046681,13.657857722155148,14.390706433089326,14.199155538682097,16.259882488477878,20.519347851783653,20.601275871450504,24.503023122053904,23.38736568888606,24.42149526123545,29.065405913802486,31.080784438797835,32.15795924390593,27.259861661597814,28.08187990165782,31.089123245148976,28.38853795700178,24.422860991769245,27.38224416367164,30.651154574723478,32.44362920803698,33.847301427259396,35.42907089542332],[22.011639262144918,20.24820721334599,20.163949717038935,15.919338827575794,19.151611078943663,22.107335525215532,23.605614126253013,28.141541900806697,27.737936235770437,27.95388237148627,31.077346467326446,34.221395765551506,32.46554659068537,30.375812528664262,35.59821233911249,36.758428454601855,33.710728669696145,37.36969894379348,37.6946830838778,40.268358857647804,42.52731246175743,45.70508755469184,45.561413981689995,43.65481840485092,41.361401927450274,38.14113698725873,36.793666345394215,34.24104446040632,36.759245846942974,37.79810607628231,41.69723961973523,41.72144627326342,45.686130606031156,48.61714390327978,45.703153492895794,42.95816290264038,42.18941377107878,40.715207745379494,39.27894164704753,43.84943554444516,40.685081356660305,42.25124426992827,46.32969628471658,44.855884184108305,46.03685989382106,44.63536666958037,48.503217257235185,48.422843938026475,44.21623576531655,47.616887873006476,50.14500566498207,50.24499455650193,52.36871537458381,47.28687126743704,52.251769516736516,55.17097168367193,51.36936697140782,51.44631081158877,56.189618278815416,55.61203035261763,51.69536204938271,54.23222880000628,53.139782888676585,53.84954873976327,50.79982207652785,48.03041594697566,45.05736363839779,43.25887321064544,40.139930021086684,39.18919518745688,37.73436172734975,40.0136015613179,42.55289422867888,45.004627344268364,45.3667151585048,51.59332017897507,49.76129461878455,53.336156827688875,51.749686355983464,51.91082631095806,50.30511814257631,48.51127680522996,47.024780545628325,46.61987601248128,43.29193944540606,43.064398474829865,44.86525406564666,47.02448647513219,46.376267678110835,50.58742164576763,48.22637149956617,51.271344413109034,48.44301384833356,47.13321111049211,42.492587793481555,43.36850956439934,39.06639238704324,41.78188397010186,39.47700097675532,41.54526986535092,42.04429211447492,40.759598059296316,41.56917311127361,39.01214084945273,40.40281053134492,35.315301743921175,37.55774204056255,35.21456839572348,31.50272502915917,33.141252168058635,28.793318152447892,28.898509915106295,27.145866645342416,26.07082482762569,27.467097698034014,25.811637386163206,29.257152295041216,27.809422148162337,32.896237745759805,33.14001018993316,29.992473394547496,28.027852010203322,23.805979468984706,22.878556519503427,22.311532773484416,22.266738448281455,23.253641387088027,25.221737602600335,27.15722532075782,31.962143580244152,28.834839472492952,33.25055387697979,33.43169329029595,36.259666297274066,31.088960627738288,29.116741182430665,24.2840581107485,23.565738075291886,22.002306199759914,25.836981026453,25.49128352381601,30.09134339929323,31.37684937544343,29.90496935636153,33.44860065964569,33.93827533723213,30.838192602996525,31.67518939285472,31.61037661181902,30.335793893380405,32.06661043452939,33.01448488729544,37.31539686453363,37.85616058714357,38.767086375338216,38.79735702234056,36.32752412028056,36.196960732857434,36.33224512941884,34.57101969087883,32.47764584675286,35.69484647604448,31.917280617734264,36.74844447251711,34.788442423411965,30.52546576870737,32.55210507903844,32.02144002847621,29.60435867108375,26.972606385726152,28.94951632591547,28.574316809413787,33.5063015161776,35.95946625260474,38.179179553199816,39.88087868319174,39.66703682244486,44.465539858805066,42.9393537305246,43.06915692288686,39.96153915344731,36.929649130631475,39.29049143944685,40.391534550214125,37.676501964296854,41.118968380301496,40.53232151806306,44.05983552551884,41.600763377916984,41.60415116171945,40.677392654780334,39.72624506309683,37.46092035310575,35.15751737516193,34.94521276225113,33.87751090539464,29.551478555992215,31.461791610932295,28.84383779481419,29.87306206833418,31.973827388700915,32.7511642202159,29.002314343939553,27.57222121203982,31.258608623120104,29.094437629268707,23.49474971399947,27.386507465079738,31.699463067216392,26.250866389011744,25.29014468774474,28.969269378719776,28.659241945995177,24.24564747887665,26.111286592902648,24.149383843979532,30.147560967944266,26.086657629599443,28.11989529014366,32.042821780792764,35.49535602378666,39.23350459375539,40.21960961317317,41.909987680419555,40.751374859377904,43.545151372831604,41.908513318318995,44.58536479880881,42.57752744584707,37.039228340652976,39.841275112377744,41.39575547348459,36.75533222340413,35.28316289485958,38.07310874118003,36.06471978533587,31.994305723020144,32.282238154363675,30.552424436649392,34.723661700760346,37.97774155735886,38.22384498966707,41.32415663549709,44.435372794427394,42.80303107463824,38.352648502894816,40.147533721933776,41.85869180937626,37.37937696781077,35.731133520169415,38.840460830134056,37.77256498282456,33.93227051743957,37.61693317741291,39.00864716147598,35.18166423377416,34.74696477755733,38.175698595238934,36.080286008125945,38.75009325309677,37.869232058838556,40.19437730063043,38.17059569029295,32.97190345741925,35.71770757454816,35.8016903768949,32.511910454192936,30.78144435768334,35.41567408801517,32.8506344449979,27.969317685023665,30.039261457023997,33.59605852581499,30.64475566331775,26.77713006617028,22.667217093227546,24.207409551160975,20.0914528362457,23.08159104349748,18.807232838288407,21.321252301210816,19.83343948875005,15.832847465614668,16.69411196655887,17.223480572983064,18.697738696457446,22.794526476593266,21.708273901708537,25.498521053999244,23.49244672138072,24.880430485286862,29.23788436414637,31.5409678643748,31.86622318554683,27.061698159372366,28.446947531350464,30.99188266540946,27.611632088133803,24.161209615311503,27.68790434388272,30.73840213872889,32.46925425960967,33.87303451461833,35.51513803429616],[26.859977656140376,24.909297973309805,24.3877737705008,20.38181732868017,22.80423193076259,26.489008148443148,27.668523703773552,32.2545928439491,31.98520593968817,31.750103312942347,34.93613130343702,38.22423704863595,35.917269224697165,33.81217315404578,38.95253086779305,39.97287363149965,36.50385931010919,39.83274019192371,39.538512456007965,42.05613357874448,43.93129238753167,46.86536714022598,46.43127409925911,44.168951717875544,42.172069383374605,39.274164999059124,38.21091816833258,36.15447644736446,39.12184439350888,40.601400002217545,44.640504438873485,44.89663962162246,48.990516911607045,51.594085744206176,48.49747027308227,45.45020961862488,44.823377718212825,42.69724516876668,40.94420115306109,45.16425412947372,41.630997538598386,43.505485147964336,47.437763758551654,45.52740672837076,46.34123247224085,44.53493200689734,48.33212200733282,48.712611252189646,44.344700597194354,47.53912858611869,50.50166906557386,50.78786226428542,53.14723524553731,48.271885631798455,53.577356301576415,56.15678589475994,52.284550919078804,52.881100639464144,57.52286152852054,56.473198581289026,52.807689216495035,55.6578296066264,54.93256389446279,55.316561570208265,52.04786167575568,49.62514826473142,46.734243280142145,45.378006821704226,42.18937534695242,41.74004756727327,40.08802303344138,42.32454853659489,45.043493261223844,47.08290522499875,47.783014221817496,53.8881271400336,51.880438175957714,55.6948725515427,53.94505256042405,53.79933087305334,52.41942225026361,50.322358686740536,49.2709696593517,48.45897957946162,44.937328113423504,45.11255628169387,46.77048249706101,49.403433397868504,48.574034045143705,53.18196750036517,50.839871230307494,53.94795826397451,51.370807716564784,50.34000068218526,45.804881841272085,46.88958312635756,42.66592416425463,45.40728171406724,43.27238451892562,45.61699992036042,45.597918582920045,44.39428031578207,44.721306385197046,42.203778247379525,43.0464707043638,38.07806587786854,40.21687088037428,37.53775971254033,34.15427877955323,36.15526565969024,32.08296956441736,31.910207980064445,30.593546295435708,28.994180348946863,30.44432716038906,28.27366253098685,31.474976762623513,29.408705419423047,34.42689428227854,35.34836053369595,32.285387998477574,30.75955902142026,26.260397809413792,25.778232093167624,25.753842259648867,25.112479024635437,26.692768292924423,27.99495426317762,29.71137852172513,34.20052193993099,30.621893379363716,34.92804610080263,34.63322533680731,37.936314941514304,32.482170189809935,30.94678652810097,25.836664470236727,25.216239515867944,23.617779032779445,27.333707033247258,26.227812124532804,30.47097192976716,32.42890076178217,31.33608553830821,34.8675978668495,35.99999727425496,33.03853662973646,34.42306278442956,34.58350996274776,33.83986659786765,35.75329901786525,37.1245705027821,41.43464724244585,42.382421375867374,43.111209503511226,42.82250657240065,40.11555120237058,39.8065554946436,39.619866830638024,37.555648315059784,34.834026159338784,37.912204860167364,33.52453065515213,38.26496020780285,35.680264308400204,30.979543236760442,32.91349037197273,31.692124642412743,29.523156923054053,27.29462348581771,29.700847978858928,29.76666991982894,34.87582308499366,37.682393218800556,40.23946161460792,42.333359296249874,42.3557623148042,47.089401957711196,45.069522070858405,45.211153284343006,41.54428106408667,38.99905107608013,40.751208075074004,41.41206076159948,38.66580124388259,41.99787870369785,41.46971003092308,44.538458041388765,41.66995222755843,41.6635871078991,40.53427464264354,39.99195763726835,37.60801739965696,35.54956948348817,35.490436613166224,34.376348323191074,30.450054476587418,32.70648505651285,30.4742790151335,32.13973069346346,34.22905472941101,35.56514671493676,31.92716022658867,30.20569467263727,34.12173200133241,32.491725377390125,26.719153876406796,30.44482735895802,35.19502064493825,30.13016005707453,28.95788921929534,32.65871152880183,32.822397208099765,28.45991923049752,29.903032761148385,27.59335051852272,33.47726466060776,28.48471231806972,30.764418240969956,34.78435766758712,37.68548733047769,41.43572877174596,42.1379286883454,44.105886580625025,42.81949237896694,45.55754973214695,44.07454988564594,46.27184359572287,44.12904790722181,38.83649746352926,41.47010385963073,42.46729305406411,37.841206306484224,36.52715735594689,38.94984266856295,36.46927727612614,32.684134513427864,32.982306502308205,32.031865194922084,36.43903581138847,39.75230200227216,40.486487147463755,43.77657730604011,47.161972410962214,45.67595073091303,41.0896762070895,43.16464389415814,45.181037104675916,40.77911906554051,39.077874793579525,42.49081908715069,41.67954991434771,37.759206706965074,41.25249015579057,42.944923305994806,39.36561948345371,38.56979747144169,41.81291705385855,39.44069079021521,41.885459134320016,40.87453784762449,42.81218290709191,40.90043694193955,35.83978178427048,38.11934077902325,37.954180511796785,34.83402084764283,32.85771657478887,36.971007266756104,34.33110952766753,29.659250189923995,31.268808412720833,34.43591200506495,31.445404069088298,27.75765797208401,24.205157296276948,24.87102404444608,21.18407716333601,24.88778792925357,21.343423495292978,24.2151975677866,23.536682030393678,19.185041150830862,19.475493487444393,19.04201019817291,20.460373405292607,24.90621863735948,24.402778645541474,27.895460708848645,26.3432007214726,28.3828983865761,32.832598464630465,35.28920452049311,35.92755077855898,31.098177221724086,32.61983180832029,35.423820130022435,32.049298794914854,28.711049972593013,32.202948551266815,35.43052474330007,37.1777624628079,38.538052790769804,40.159847940472964],[27.280365875287043,25.46236941512419,24.92666046501778,20.206601591184,22.511090946464854,25.57041281455957,26.193928056738432,30.751226492196523,29.901827629483957,29.177789951763085,32.14781869456661,35.72404802925731,33.281159024637844,30.742460381662703,35.81156867574253,37.036190745608636,33.46987224613049,36.571512306927,36.04602474217797,38.87364259303271,40.5804520431353,43.731465322783336,43.12533057428171,40.93501054708397,39.114046536621245,36.02284610906459,35.26517841966267,33.172517471735915,36.19369241332577,37.90931815858172,41.48744370111922,42.22501217308884,46.198908396824976,48.63348260534898,45.705698093528596,42.53877873039747,42.31886891040006,40.05625274832462,38.48992814894907,43.060159418720126,39.249987742924695,40.69623297659829,44.75939178365553,42.958872412109585,43.624207469712395,41.984495088483385,45.82322799299379,46.27053069414724,42.16120281555882,45.639789632778296,48.49448613200049,48.93964276167963,51.14083931392708,46.148233291437855,51.43775084500369,53.850240018563795,49.7678359649469,50.28032004284396,54.91041706998065,53.78870209817501,49.882519504076484,52.51972788399734,51.74229456023138,51.895290538927185,48.776899244635935,46.46082981445446,43.21076516630632,41.934543643822366,38.468200713900465,38.06325080663302,36.22407704304112,38.26650499748488,41.19029942085728,43.246650234320676,44.220257073345735,50.332776017946266,48.58332152935648,52.48351391814641,50.95278062831339,50.98823267167729,49.91127655282524,48.083659427056176,47.26090792072612,46.72949212596736,43.09813011723997,42.94739235421392,44.215777531358704,46.908259537698925,45.65029321510581,50.22322976553716,47.62272957188567,50.51531288586542,47.98563892112925,47.13981292023065,42.673467499400594,43.64670194655886,39.48290287913731,42.61552848556827,40.750522846113014,43.514474558795285,43.378909335999275,42.75891332775264,42.880322409231006,40.914206006269545,42.03294950254248,37.279383017219416,39.896604994795936,37.55289635684116,34.27087728128114,35.81592056513113,31.605207543661127,30.830374565511846,29.064051619378482,27.142176579413594,27.903918280348268,25.562323016963305,28.459329798591362,26.24467732445937,30.876112443298027,31.923368419657766,28.73444240697212,27.428052312990456,23.007489237568905,22.984486817693877,23.454074788730374,23.39539875272715,25.79597185013252,27.165988498690158,29.354996251354823,33.80639876763965,30.849980948215862,35.349493053742066,34.781848031595615,37.70668822642717,32.13316589859466,30.086037004620803,25.50439227513169,24.024462172566935,21.783686291254934,25.31525902375957,23.66907376750046,27.852003317560335,29.58652475609984,28.770895087136385,32.403735435784235,33.45137392457292,30.59870197013803,32.171259740914664,32.754182818835744,31.989599213976128,34.40917734593211,35.51775451279899,40.131988019121586,40.993135954860605,41.28491435879125,41.04302985425451,38.12255027319799,38.218945998419706,37.61088033857832,36.10800894207516,33.21105195324917,35.813919137282255,31.504095942758173,36.31813748301943,34.13344117053624,29.48185818239769,32.01697510098734,30.974401324410508,29.227807101796476,26.542290236900847,29.00078292386169,28.520898743064908,33.56272113451558,36.25991320177758,38.60605966298807,40.81322377587834,40.400750724190765,45.40787442102726,43.38308250948756,43.85839277819208,40.248504542487375,37.99984118046772,40.11465385681938,40.89996896875622,37.91551511122835,40.73360439978986,39.74009809726744,43.01972952855731,40.17191452243614,40.621590659494956,39.82148368613245,39.408230075899624,37.460279984827,35.622141416240176,35.90163108723067,35.26981078288223,31.2524512608562,33.77643078093892,31.81060161669714,32.99485215903029,35.64357026510673,36.55609467986239,32.691840763536945,31.67009955832723,35.652663769637215,33.55774758718743,28.109025638528426,32.2507980651726,36.651036696500654,31.306667860327778,30.61030003343981,34.40924449915444,33.99774680646426,29.74403940606733,31.827548676806686,29.756808579193716,35.79033632752192,31.41935483572811,33.3190279349675,37.35889902352281,40.526170870329366,44.44638090131198,45.12680269424392,46.70462256012108,45.23947473497116,47.804992153600615,45.92746914571705,48.351355409580805,46.55695424365461,40.963270958139894,43.37067399413972,44.7827871099429,40.28285761480062,38.57369936416299,40.88535053845556,38.96979776463723,35.160684954572325,34.74062497905302,33.8342921678677,37.64408571334506,41.16410657171603,41.96277505422849,44.92902226724974,48.387755045385326,46.45066561247158,42.0362644592038,44.38854308644423,45.99878128032358,41.3985301339369,40.15446380592481,43.4916511711776,42.423618504474284,38.73546433361941,42.61945222162938,44.09943901402879,40.331695239866455,40.06633340242363,43.52472477009834,41.331310325273954,43.77128164541371,42.55297890462559,44.831061606120194,43.16714281629805,37.8484904900695,40.19379379318206,40.478100224728735,37.352806522797145,35.139760662688985,39.64289761497272,37.381550341089365,32.444012837562056,33.9058966105302,37.52969606441038,34.8247229928932,30.978914468399662,27.202429430436315,28.494400152231687,24.74520949619237,28.22085563086714,24.126657052801967,26.47806286950974,25.0884274292897,21.211591294145677,21.561843835309773,21.704087003083007,22.645494983191046,26.88433718535332,25.413195218473756,28.72833628595121,26.44277948441992,28.810453180821252,32.940503823671655,35.64181950532014,35.63417017583297,30.96299743940049,32.988733073575496,35.384862709587104,31.450717889260833,28.66801846463383,32.60125761153439,35.63844819782107,37.316991360608135,38.65477830584138,40.319244653565214],[24.05442475463213,21.998599506319255,21.104588842505322,16.309479334751973,18.395995595234783,21.56705590483643,22.204586899332014,26.781551019902935,26.185050444033415,25.644836589350717,28.78125515320614,32.18015451224155,29.78328693924462,27.55809055881118,32.69042201733157,33.76566385661578,30.338708213538293,33.71573625500106,33.631013996588635,36.23979297078417,38.283178865111715,41.41605192958235,41.124892793320534,39.122310332441955,36.95658890465286,33.79568749984124,32.649446568755735,30.3201038709249,33.13002318533933,34.56457208624438,38.42934607264959,38.79574509388154,42.831701283130066,45.43679566293307,42.43940179413706,39.434692042397195,38.930753133954425,36.985902189414155,35.46617246823443,40.06667617844534,36.59204546314663,38.100430026204464,42.18074803692721,40.58619897051624,41.59642062814226,40.15656016708291,44.03152067928312,44.093620418468845,39.95660038628902,43.45411509653031,46.05471664445237,46.30929611568701,48.43296283637073,43.356718436288055,48.471031193866956,51.16075900219874,47.22236995459929,47.48089382143625,52.181795980041954,51.379579129390805,47.46271263092119,50.0688102054356,49.137299650244806,49.64048456295295,46.520527967607116,43.92800333967167,40.920622190863014,39.36836140733832,36.18912163622674,35.57167796538771,34.001799857907066,36.32659516961798,38.92153225049291,41.09056165248942,41.657878310776454,47.81295039171778,45.906538069396326,49.653014369655885,48.02807023650626,48.083714643673254,46.734649073932836,44.90865590274495,43.7984837488876,43.33496465851775,39.82606271379397,39.620786212118894,41.143458284978,43.61301103582132,42.670232268130775,47.13019548426047,44.70534906519566,47.76359345323255,45.133616134069754,44.086557389064886,39.55105661317389,40.62636738584856,36.41441417559924,39.227900488989526,37.193782463666714,39.76638632839773,39.66678819275581,38.81912657724597,39.07205139803324,36.93785724629028,38.13557075330694,33.30745221472887,35.91410019928412,33.65446250207746,30.286393518915055,31.750810381451796,27.49882831541658,26.827460014246892,25.082536986623783,23.339697577772828,24.3976707254071,22.28361794274232,25.48207128293549,23.646915049226816,28.657694558177514,29.28337354006159,26.173902513289068,24.536171431741685,20.10096922579653,19.623245742971662,19.740027063618587,19.546289966234177,21.691023498200416,23.17248851081956,25.388764590898283,29.946574646676837,27.13472424089959,31.68301524113868,31.31908017512511,34.05550358990968,28.610439077645516,26.42868377731079,21.889768810480746,20.484056942081104,18.42989795377392,22.122247714071456,21.185701711413323,25.673338385817217,27.097624974814565,25.89149143920104,29.492666491592622,30.274140671071955,27.295676015951624,28.59610173460872,28.955284462554022,28.10967718599994,30.378997944397966,31.58037742418842,36.12053050400029,37.12061289857978,37.48024131953912,37.15453944278275,34.29815285518759,34.2600186759861,33.82962708791987,32.20258257995175,29.533279588627117,32.36841655592585,28.28592555909655,33.13315791448177,31.141238787341788,26.731999050948296,29.156961917253273,28.539276633306194,26.531316546746048,23.665226291135088,25.854872091845593,25.248492367968847,30.232142408866395,32.795737865367535,35.063830110079934,37.093006175404994,36.74582255841905,41.690874727793734,39.84164262967931,40.21491609533628,36.82621021478447,34.29072880490865,36.609910773798596,37.596486290962545,34.666998800728116,37.678004049976664,36.80261549679403,40.29300862996454,37.72368967948571,38.02571110041073,37.27242480298947,36.56327461590829,34.60650653186046,32.592479168785445,32.765676652410306,32.163468889007966,27.942709032093155,30.33775341423543,28.28308809858184,29.186247947195337,31.95839278184008,32.66513942314649,28.74579517212446,27.964232174009222,31.93973434467365,29.687609405222204,24.397748626537368,28.709210706995286,32.96235083105913,27.615201089419262,27.161974700274136,31.028969851652406,30.460162157606625,26.38853861609768,28.78123645717787,26.71195333521362,32.7901854230256,28.738209278136793,30.26105228749401,34.312923726902994,37.58852626731391,41.67770871441875,42.273476836677936,43.541320720496344,41.9696822902277,44.44292294585334,42.3768015019136,44.98075426556434,43.36883331550437,37.6048009325121,39.96223085222156,41.68576324568174,37.244695045483226,35.34287301855196,37.748464765498404,36.20877307236604,32.29365788010118,31.65069698013574,30.46968976538425,34.04753382469621,37.58538921905595,38.27698826631847,41.118068349662245,44.54832914836442,42.49209444384594,38.13562683544996,40.53091852934481,42.01797253965133,37.37802891999455,36.26253162571208,39.60194993126645,38.499844632718265,34.8893528432533,38.897956120005766,40.370270389928365,36.63946459504733,36.51944681706854,40.033401989339545,37.866477229519816,40.229430443795735,38.883194531130066,41.31607251203399,39.81734695133056,34.37001745645354,36.73117066261915,37.28816911627869,34.180725589413996,31.839607625206092,36.608661590470376,34.6335192147027,29.517186382877174,30.95280545498848,34.91987225002018,32.45588756317869,28.48752177545082,24.52468466522694,26.469707996415575,22.73044050616037,25.94927801969119,21.457659684926263,23.31252303816902,21.64716013992054,18.131033963143004,18.339702253119828,18.86501920306886,19.483372001552095,23.497941494558262,21.593672329555055,24.897949031168206,22.420852206697695,24.78090557215374,28.845548958197565,31.591082988533305,31.546048364276697,26.895401995614513,29.051228032514476,31.4493017962873,27.456954381977802,24.807223195750442,28.869264079723663,31.987820202490585,33.69530354069126,35.04623704470291,36.77728208044805],[26.137085125108218,23.645663415420927,22.0875231572207,18.10899550750084,19.284879013426544,23.699792616659973,24.446548333528572,29.004695370510216,29.163570554478085,28.665441299355543,32.06090686877695,35.2148765193136,32.421578848078866,30.756722718221873,35.79135290668432,36.45461880556352,32.8108657534188,36.1283232025974,35.85334879853684,37.99698786386155,39.9626418195326,42.64464501291063,42.39327026297256,40.11558353853501,37.91432722126134,35.21719281099626,33.90249140006412,32.005374853882515,35.0640459623149,36.58055737801556,41.06391634484428,41.073178973408915,45.32555452528967,47.798554269747704,44.47297495979054,41.37979563589179,40.54658692688775,38.25190135076006,36.312592713566744,40.27346030223886,36.86916592060317,39.03413787797386,42.846159576771825,40.87594509807349,41.84419778692035,40.020346020700835,43.80387766269273,44.019045019650754,39.540173948573944,42.6297593072063,45.560145440851095,45.7595502984294,48.16974981296725,43.353520554664556,48.680574201490195,51.314003895999036,47.567843962853836,48.2428774855256,52.86901866411221,51.858995202767254,48.378993925296484,51.41900199821205,50.80308365839087,51.369910020237825,47.93797231586189,45.459420718275496,42.98562251879681,41.668986588910435,38.84838076444739,38.59129344504558,37.15143608487485,39.72489109939467,42.10853708262269,43.88680949635787,44.33096158771065,50.323263517352586,47.962103370135466,51.76195464070554,49.761512960885526,49.38473894681596,47.8814081885883,45.566622199344685,44.56139133983181,43.527998970245996,40.00294163253753,40.41419925916985,42.22290897316285,44.97102268954614,44.365946456563925,49.14745253094797,47.06629947810226,50.427888582039365,47.98131390581702,46.96817363964922,42.498102966921024,43.925723264363924,39.77542936616859,42.084231321591865,39.94563276421915,42.34685467100928,41.8145531519354,40.491211369588534,40.471071557166375,37.89403461352055,38.36601871455602,33.501756070111966,35.638545835517164,32.86844317864537,29.737987132618464,31.836342599074015,27.991095892068476,27.551352097029625,26.65980470227345,24.77235479519224,26.588311558536503,24.26847576433992,27.53905718544043,25.445898908007983,30.806207426857615,31.769567609612547,28.965671127755463,27.461668572065086,22.81693120107023,22.191681574302965,22.25935571917563,20.876639832918016,22.763855124821823,23.522002087137057,25.129881565584373,29.404552742920448,25.79454416677936,30.11303461546338,29.572428273877975,32.92308305064134,27.378205427353457,25.96240783454583,20.8115222896478,20.254045167379665,18.8632129515923,22.567940804902452,21.711980499062996,25.974698376235335,28.057479782665226,26.81382421745903,30.24048148515826,31.579851363109253,28.640362586415904,30.176515980716133,30.301629969497682,29.994284271678023,31.938249384109987,33.81857768563316,38.042577938345346,39.61008383060333,40.13415233289176,39.39002409989083,36.51956884057716,35.910461186952155,35.5744133760864,33.156461964034456,30.14075942509155,33.293967958922366,28.7161899855298,33.37233881244762,30.583017769778774,25.87694494662126,27.676473067174395,26.507539958487467,24.28339555896824,22.05526084898915,24.46822123674697,24.6581951095146,29.78697061996173,32.687704060976046,35.38763705259418,37.608146962137845,37.868496981648136,42.461724391145964,40.23390214135403,40.31299743762166,36.47511831561111,34.06553709315519,35.61843852354753,36.19730198125127,33.44645638423732,36.81668611411837,36.41358651005612,39.409426105502426,36.605822377207744,36.48260286515942,35.33718764313623,34.75525440212124,32.38085121101734,30.351027780513494,30.388410596689358,29.454844353612497,25.558670090766597,28.058813679040593,26.182024839243397,27.86235329860386,30.357360909837997,31.766312479640565,28.0837923666515,26.720721203458293,30.89137631387384,29.379455189275205,23.828131688495738,27.832357562887655,32.64373054023063,27.87508927076298,27.085244221172616,30.972621623117366,31.12532800856918,27.171801977358626,28.985621530907917,26.41570033560812,32.346835893899595,27.248726947476975,28.9140042759278,33.07741206696257,35.7308629732185,39.89966645354238,40.13401198155824,41.637675276211766,39.93573568463146,42.37122487325852,40.5330640096967,42.650801897367444,40.85289981432425,35.36449752806514,37.63395087392272,38.793996307808854,34.33936477393365,32.658114828942125,34.81786040461051,32.776851255579544,29.07398092067624,28.651157303710406,28.056303688957172,32.06911858063576,35.558882200033054,36.64646246459239,39.7851855262745,43.43584867525725,41.72103266105788,37.16523773484834,39.71537534299901,41.67755812040227,37.22683178625849,35.864552816999364,39.5660591025403,38.86992082306962,35.09489027474988,38.75250275086467,40.66113272857202,37.33538571854079,36.627781782770434,39.8660184089135,37.32535894701223,39.395048734777,37.930195741565385,39.88303629565943,38.4962366804304,33.22840991852636,35.07530150780534,35.34448827793985,32.42767432195029,29.84501356628531,34.08278607644691,32.07497519631738,27.145607608042994,28.148760615458688,31.779542361522502,29.347382264304127,25.52202811970585,22.081160593790617,23.413727280954728,20.16045582798328,24.001729870699986,20.171173163047136,22.280453704095542,21.672063985059467,17.761816228693522,17.234906752509477,16.726276680440826,17.28273078618199,21.627078019062413,20.646090858705858,23.72675136287606,22.14209107206682,24.92894494461175,29.23614785014642,31.986613171655335,32.69098236678615,27.959610008322965,29.975291620314227,32.9091137347077,29.314516835294167,26.48858882387421,30.266639002416518,33.741405194632435,35.53086395561608,36.860675477430995,38.58905298187965],[30.103087142579962,27.77343285033519,26.33627567246547,22.044883993891798,23.110261822351536,27.26312519359342,27.585798266164336,32.12656103751136,31.86394611734996,30.82966746857887,34.0387392135185,37.496464083284806,34.386017377778,32.317790012666926,37.232715678252916,38.02142965764721,34.07885250046352,36.9673313121859,36.05115755276728,38.44023464591496,39.94730692921816,42.63110474871206,41.9794469893307,39.47327509536128,37.70294895217556,35.10477218939404,34.30862676240587,32.76056054194809,36.15384800009301,38.14353230165518,42.26992336438984,42.84184893291523,47.042150769459084,49.181761888051305,45.911299136470745,42.537369238595204,42.15185423418013,39.32178485800336,37.327189266254,41.29649838561454,37.3843155083145,39.40774478808077,43.20236866633344,40.97898488268579,41.49353992134689,39.45983144227101,43.203723207276866,43.892949087469304,39.5132916620406,42.649278886718456,45.858661942054106,46.34690738644432,48.81107555104567,44.0864028328473,49.64350781752142,51.861666763046216,47.89253718282233,48.90248733332779,53.424769114479076,51.97999605280626,48.498870949644065,51.58202734304886,51.19480403301792,51.29752684518447,47.84821210309192,45.745148233450074,42.99750561175549,42.0809493948771,38.945384264443604,39.0581980931552,37.30209291713887,39.61312776488762,42.33548723918016,43.86167229125102,44.811755576288505,50.714936089369864,48.4940479703067,52.524821090524796,50.62154371939846,50.19243309127855,49.11462357143082,46.82117357740313,46.30648628090302,45.22180761198079,41.49099805117226,41.9204868560886,43.293672548637986,46.40381965721333,45.307626004336484,50.300548401796505,47.9994607887647,51.18273830045063,48.93433537460812,48.25272373757417,43.91120692116081,45.31806809194957,41.266334458677846,43.95706298023533,42.131182368246655,44.97740608000728,44.1487936059462,43.31898599582757,42.910592699940814,40.77492995902803,41.1424184755785,36.52680204930653,38.9046238103342,36.18037058742295,33.31690863914847,35.301056678607104,31.521963948776712,30.560963688937964,29.549343562341875,27.185480513680936,28.440419620024034,25.698448179364977,28.506065628432946,25.857017584833038,30.744518777934516,32.31001812550179,29.453378915328784,28.441783222241558,23.753796124112693,23.81321583949928,24.561421167698985,23.402045843777415,26.12786650045532,26.632874864723224,28.422574032384503,32.44167719469745,29.008110218118492,33.31416950948073,32.28955769518384,35.67535755416538,29.92409263073707,28.46265031447775,23.603683764699948,22.48504556425802,20.574024570188737,23.96433917251581,22.02581358604081,25.867228954773815,28.30969298973233,27.630824111923417,31.105375200540294,32.82806228328927,30.100012533710984,32.12148674254109,32.71127626241374,32.64433816734267,35.0294771480665,36.85617301328727,41.29241269778891,42.88348385892203,43.05815637304508,42.26315646736448,39.1487373039161,38.77848623885639,37.973101455955494,35.84310801411964,32.355854013042936,35.01412587410538,30.11549598583775,34.7237562013748,31.802172410180955,26.821051139269862,29.009144183689934,27.380925387909347,25.748935718062505,23.55402291534727,26.323002951708613,26.429462810408758,31.57138969228915,34.613492288254115,37.35935987301923,39.904914675442214,39.970827366680126,44.71323246564265,42.17892622953349,42.51974166165579,38.36644491991662,36.5304117996603,37.915254708833785,38.25496926435629,35.33181100935639,38.194781150586806,37.470840657412694,40.24300644075864,37.10925576261368,37.348729682521046,36.289090438765285,36.16187116472585,34.037864462166866,32.392600199578105,32.78041267442984,32.13247391746228,28.540757252889854,31.387246094283437,29.911109189566588,31.671448071221853,34.393531839958456,35.854734394693004,32.14313736921741,30.968545197517777,35.21146006084086,33.70622963357975,28.239008469925157,32.28851632020827,37.092105274412496,32.29897443849782,31.566667276560025,35.4569401993411,35.523214930838385,31.530228501093642,33.3851297419206,30.860083621913322,36.79317480942179,31.590841374787455,33.35025958926191,37.51764810349521,40.05788785358616,44.19809255343092,44.37006420221449,45.929742542837815,44.15383244618864,46.507517060539065,44.62146991717659,46.56652994684434,44.82648079673804,39.40440257285293,41.48443335901964,42.47609459036488,38.11339483466041,36.3945724128599,38.25739982867534,36.16670984989754,32.68498251198809,31.96876948802093,31.88234291249722,35.704504856980854,39.29417616276458,40.65991002319949,43.72837188878731,47.52067089312757,45.674807634850296,41.16384614369707,43.93656970105492,45.83593599844951,41.34042955631959,40.155568216916706,43.89950733528105,43.165909624813,39.460998625374366,43.19165436006346,45.080397015827174,41.7126532304036,41.09991595670671,44.35809312083096,41.81906927521048,43.85014276343887,42.30722978056547,44.216233624249035,42.91778526927509,37.66058933242201,39.36664149091909,39.638401010054245,36.78841033772197,34.096816390082346,38.167534783814965,36.19283269922851,31.35692769548635,32.12342105108579,35.611896210145105,33.20885026853843,29.49247849371216,26.28334047812354,27.232230007524862,24.124202342492488,28.15271900912202,24.529002064328882,26.75613467037919,26.129260023350863,22.19349388296886,21.703620649796363,21.050554055581195,21.531295342260883,25.895844666065813,24.80551788395553,27.641679597067036,25.89345228204688,29.046193756774965,33.20144843817489,36.10362910336238,36.55439435883234,31.905906502934336,34.17011229096714,36.94602133420561,33.07036132363581,30.511134207153738,34.45146970597611,37.8292100741834,39.57301460733173,40.87107256861998,42.580473826624235],[28.60733259782226,26.203403816430342,24.42074298276827,19.71888565434625,20.231887316332692,24.053090589194984,23.818777620987383,28.27490850842518,27.80435121994885,26.39917670886688,29.557651972169538,33.093674119309114,29.774805047864998,27.653392520467058,32.496554479680476,33.269855052097775,29.269343719270953,32.119640914766435,31.258776798463927,33.695405506754156,35.29260323245678,38.10508212410454,37.54340464986642,35.200060318196186,33.30124774461691,30.522116723969525,29.68542763993663,28.003991741241123,31.368618609917394,33.41532864632131,37.44235075584461,38.134996214007266,42.30977099267313,44.38171008382082,41.15210143838395,37.75754253890048,37.49385597648896,34.685777082034456,32.823429005714175,37.06946359143857,33.13685392104968,34.90819004041844,38.81969968933021,36.79726232121141,37.44474358309997,35.67412253247543,39.49725351569921,39.955746056392194,35.73665888933657,39.12756530589673,42.0808041139941,42.56307602689188,44.86026942268335,39.97597961943862,45.42965017185169,47.705007069678814,43.6627988705307,44.45810835239293,49.02775174385279,47.733256250018634,44.06625279394001,47.00190921311978,46.49602147889343,46.66649046388664,43.293846179650586,41.085538658718015,38.27122641943739,37.26242754354363,34.14786905300019,34.23007291221628,32.52616691698493,34.93641583108632,37.55240708491029,39.09593055578806,39.96933938885228,45.891749896296524,43.70081339557736,47.71434342781808,45.87453029287748,45.557182026608395,44.533353955818214,42.41385911188684,41.92187862410936,41.06469664656416,37.308003195309254,37.48245712196206,38.71907550417518,41.778506647288786,40.56452517063607,45.51089189491496,43.15963029359022,46.3292278808986,44.08742787128177,43.44141439252799,39.13363212386709,40.59251508269263,36.58924212854121,39.29935360803444,37.59974822339241,40.673459926624226,39.65619928163447,39.13974205813888,38.56220487283672,36.77035581918591,37.326739321162385,32.88167162104193,35.632994103186974,33.22708512296416,30.46442304476002,32.03961211736204,28.209417954464737,26.75082747768861,25.503429248603627,22.88078517176666,23.805012945732717,20.966657969134207,23.69400291581419,21.07462639445095,25.99346126595636,27.46043056615841,24.60911840014053,23.624147010983368,18.92707174330895,19.133496864413807,20.189445740753165,19.211324586447496,22.58624436545875,23.04009618166799,25.198256487021986,29.166923919058494,26.35689473320873,30.82447952350352,29.659309721994685,32.60538315466532,26.829900912115377,24.87433652276175,20.52574805092567,18.676741869987687,16.30976037315193,19.6287349923962,17.61488771493478,21.654620176330567,23.775895913033505,23.073009367405483,26.621531946726197,28.188757593670235,25.481367695010913,27.571886942230616,28.390678671909733,28.388340824759517,31.097854939890365,32.87924149385325,37.46040667483525,39.18652963726772,39.01535918799866,38.11077042336088,34.838257078833884,34.64737985367011,33.563007519872144,31.74369579925955,28.163770473186034,30.566535441542868,25.794288810114,30.487201542337317,27.972221174741644,23.15494870818899,25.80980332948002,24.635549918548833,23.206907008507983,20.464057774356124,23.120219227102304,22.680700459772574,27.7463794805929,30.642697102596312,33.19933033204011,35.766476202070194,35.56360591154746,40.463681197204586,37.98416135301664,38.52909001562595,34.51893819700426,32.79132883688973,34.564867022685455,35.1224314898078,32.02879570999504,34.58126973670011,33.55108211941603,36.63866734423507,33.707781205567514,34.230203781421885,33.48475490472439,33.26189843789628,31.515558660697344,29.95193943008146,30.5755653422935,30.385997615012602,26.615194404008815,29.614558110222188,28.363517114256368,29.554171512999634,32.82405006328056,33.83182819124101,29.944214567392297,29.515613924432525,33.79219143827382,31.8821438238318,26.854532105519255,31.283864698754865,35.70404617490586,30.80573564918421,30.607722007652917,34.582840250447994,34.15396893588653,30.445130279466508,32.93023446196694,30.569556471164436,36.58019178546347,32.03588444329044,33.23776900756738,37.40591639225958,40.17047930824298,44.552430351416156,44.621602771571396,45.65132025158167,43.64735188622326,45.773194779016734,43.44053602950746,45.658092438971735,44.343380452534824,38.59324965053106,40.41817847500016,41.94659760213776,37.75959487325111,35.587179337468974,37.38808966661272,36.047329287004025,32.50665292468055,31.016743269790556,30.824653690163853,33.945975011469024,37.7097091579045,39.09358296954035,41.795740433836464,45.64193864022403,43.35354527946839,39.04221110857609,42.10189799381294,43.599609666573464,38.95135750628082,38.24854710204651,41.950871584444094,41.02918453793474,37.5932395084812,41.674822746632444,43.41907144264675,39.99797370959106,39.86684808150157,43.28818915159062,40.89228188142464,42.818164460658565,41.002108979265664,43.24978886917536,42.29786039812475,36.78838148334483,38.49334029272357,39.3099170350986,36.504546942236274,33.525553558642805,38.03697644242687,36.58448459815611,31.459289149100314,32.04981267482758,36.11219200069643,34.12275592186164,30.230378616516496,26.774348848001104,28.611612229007118,25.492799285920977,29.17269461423059,24.95526553008029,26.44484544425329,25.193628689229666,21.910125280361466,21.305453136242615,21.278615119008908,21.139972856791804,25.118504473972816,22.996580908473753,25.562341597165396,23.140701674485655,26.657888917675123,30.445035459461618,33.58220629913752,33.52881461305545,29.087032200129055,31.865060086682842,34.33003500846942,30.014349020732467,28.085567640523063,32.40012150248051,35.68456545201285,37.38194727151517,38.65182855856283,40.42502291999296],[26.539676800391444,23.611112822580736,20.935327120027303,17.096813804095532,16.470846628500038,21.4887587693705,21.49125186403898,25.864693071408407,26.440665970133587,25.503269189351748,29.041642469514635,32.026193601829895,28.620520075578025,27.472792475974828,32.260994164477815,32.49898818211813,28.65221099375545,31.86513046050484,31.5749272310744,33.270190310969056,35.31049186076212,37.69880447037066,37.65422324876448,35.39247629311091,32.9656207929066,30.508998941334657,28.92341805925151,27.248175596232002,30.413105973171707,32.017841616312005,36.93828549022004,36.73544865921541,41.13116956387602,43.389111779049564,39.82987044204308,36.66979246883675,35.6618846172078,33.12611824677576,30.98696811815102,34.677205763139625,31.39123639390462,33.841499039469376,37.516310225938845,35.503088710560455,36.64707301436406,34.8536664243565,38.616141334111745,38.61863625684624,34.06543164868681,37.07992898606461,39.9313245899239,40.05461817734368,42.48946682071716,37.71956079737957,43.06475355018832,45.73550778528515,42.10658040793239,42.85479873002845,47.45521469053537,46.487892716929345,43.19333415596828,46.41603177225615,45.92282910168956,46.67189435213347,43.0829670650694,40.56062852969144,38.55688564380027,37.31186354709312,34.9336756595042,34.92963774039429,33.742589634762965,36.65877891671563,38.63628938622949,40.0790609588419,40.25185253214417,46.06761074318158,43.332161177797815,47.11292541998103,44.85421662278618,44.22819357048589,42.63667078220956,40.10886627193848,39.21466391252026,37.96253716490215,34.40806495035218,35.05354554047671,36.96893732216739,39.870498079938315,39.462340532296786,44.43424435205849,42.63575754158198,46.24769670009784,43.98594176660766,43.03941317989021,38.702744358818755,40.51670005954058,36.51933575397164,38.34485406516022,36.28368023287633,38.82185895992877,37.623865730716616,36.29435985074247,35.77581583548048,33.272352139951565,33.31655450692553,28.678982127224337,30.925820207701392,28.14533379298236,25.427789974938037,27.505477156718754,23.994987772196275,23.01934750578054,22.634620468568006,20.280622053437305,22.42236668936075,19.893503451149897,23.131334748134975,21.008394420997657,26.67352766072222,27.698382978147045,25.271057417619073,23.877914396028206,19.190915775011554,18.482333302689447,18.802879018604347,16.49151590078648,19.018457167186856,18.95767265980199,20.513009782701868,24.41456004914344,20.981137332250526,25.33151496780387,24.365648064506534,27.655703058113243,21.96318968072534,20.57595067205787,15.555935843859318,14.822811304219496,13.610196404389379,17.213312085913564,16.641967556641035,20.880793785438424,23.062772136717076,21.66623780026508,24.942347989227848,26.54508144481834,23.68588436400246,25.469105055573657,25.648108116231963,25.947585710996,28.026210329877,30.47934609885646,34.60046358870642,36.893488754382886,37.059633225471025,35.76890938791815,32.675130280703115,31.7785946953908,31.146188772301517,28.409853506912803,24.95421763878863,28.07896390016405,23.266538339222837,27.811597489464774,24.83453430756497,20.13339903586171,21.90356023868239,20.88457849097976,18.69656680230479,16.30839058264315,18.748336900530408,18.966118290109822,24.109072356805513,27.1158623377808,29.958117458327767,32.37406584731413,32.8469772420033,37.3040685614111,34.806196498800574,34.884438300493144,30.833327820506693,28.690715717312138,30.066628429467954,30.570619344655118,27.74628612423971,31.03806188830104,30.687354193763046,33.645373871465104,30.952666715626044,30.78009590325471,29.704268041832204,29.0950533341432,26.857593448187263,24.93059653912376,25.207275349506187,24.68676777544147,20.846057181135613,23.739119674987265,22.47644750578054,23.990991326017088,27.136286271113764,28.490744735534772,24.768273959629155,24.112540432010256,28.50135349002565,27.05310587348019,22.069603119815227,26.361255985699074,31.008988844116068,26.667409625192363,26.467784598973868,30.451659542379073,30.451541681600542,27.11731280819879,29.409139897012682,26.717980529972124,32.52463521370482,27.639332138365,28.476182066078582,32.67242436934877,35.052253830806464,39.6304501283861,39.346640219616454,40.20435152949541,38.00808725609462,40.00813832233937,37.669011859740344,39.72673487541291,38.4565600037916,32.74246674208112,34.46572028999283,35.92636565470928,31.793509462337425,29.578002853688176,31.335269418458346,30.053372152363227,26.539570768174375,24.974879983489565,24.872141990506943,28.103507301240985,31.834005345578518,33.36856966890507,36.19018456802701,40.14603884017835,38.04961193418672,33.631274234026634,36.80701514893547,38.57253394618923,34.07145208116653,33.26723605032754,37.23361519594121,36.62245863449014,33.14886249241835,37.02282647254751,39.09609475279275,36.078667656027896,35.61110108327725,38.830479219632956,36.19316942723354,37.79365240222898,35.773443629312574,37.798705516566955,37.10587859881242,31.64925055236158,32.95939138883567,33.851379527891375,31.240430751965462,27.95648262809611,32.33590094986736,31.21036455397029,26.083094784256655,26.28962713247645,30.483096994879464,28.839325908258644,24.970188525568556,21.774722343037297,23.928803327256635,21.31513627970599,25.005418514373197,20.97815483946462,21.980683581472796,21.311176335703493,18.315418735213857,16.918674663488375,16.5341640410736,15.819539907600456,19.655698634085155,17.786888650368446,20.106734864769482,18.30378656374152,22.134327844665727,26.03566820133246,29.166362865576165,29.77183861092851,25.323297834156396,28.026791064471094,30.93734601657068,27.040048411535516,25.074818806608597,29.162794362831992,32.78185605566213,34.556614876397546,35.81238299565377,37.62817673779604],[30.779546412726603,27.97063918827066,25.5527142116958,21.731127648947414,21.36179530942738,26.344333745620606,26.285748840311786,30.65576721184076,31.02521955273599,29.787626259958596,33.2027457751332,36.39129531369645,32.75007552282814,31.32682963940345,36.019851204866704,36.31609414898757,32.19134590372548,34.99627325854329,34.040271365679786,35.8508999446196,37.399293139330254,39.63022709711609,39.181999693484485,36.571120618716115,34.597050592171016,32.42006145758135,31.320848472873383,30.138387171064288,33.673329693043684,35.711268228594555,40.43427174445256,40.63679369090358,45.02009007478707,46.970743768033124,43.390743943673144,39.970625987640744,39.272555930370835,36.159802960076796,33.833364956896816,37.247974416123114,33.503530767608645,36.069496183768486,39.6071101770187,37.17882749970664,37.82209606824765,35.618012501592894,39.289992630761034,39.878895548248984,35.26524090475437,38.11082292080651,41.42156623478205,41.80746162718919,44.43213082136735,39.89567920339913,45.53806605512512,47.77045172089071,44.01672616433455,45.26912585793643,49.72422885639325,48.24031130254199,45.13160238874413,48.55519310304892,48.39569937670478,48.70448207032863,44.996190284423754,42.895165476117185,40.78569295924903,40.00180643378721,37.39630280419624,37.815840452398255,36.34024696322239,39.03367939796285,41.32088151540592,42.44971751860266,43.089769381308436,48.778441948344934,46.06325120198129,50.069878371218245,47.79683188524353,46.98141175434126,45.73567111035784,43.055910134551254,42.64548622312024,41.12851470589898,37.40708390368311,38.3119074398991,39.919809212869595,43.231993730118056,42.48490495808131,47.72730715080372,45.82190843640267,49.33425381360659,47.289456389709734,46.63668253715294,42.42049022806472,44.25332924560251,40.334896273806756,42.41395780565658,40.56964095352616,43.37185779483709,41.925204637185196,40.8337349110962,39.99117458581654,37.68323839664009,37.409610548046494,32.9744750800862,35.15178588370794,32.19979963858921,29.768169510746144,32.02122973487585,28.710626252852744,27.553583302420982,27.2809522975322,24.62183915642151,26.436692795363932,23.53218142649841,26.335951312041598,23.606492276708117,28.856614747759224,30.564636186566755,28.134404218739608,27.21843405062084,22.46216771340866,22.351591168248163,23.17483099509389,20.945749449662788,23.850898815191798,23.51324426637851,24.92608576200635,28.475558492610133,24.814025344590213,28.93234574772365,27.536490347663456,31.1630479044523,25.354720278993383,24.35718545430852,19.412981974617214,18.650383716539583,17.24009292531365,20.4466759815211,18.75378879188323,22.387253428501204,25.224644293745072,24.418966072529923,27.650269957267856,29.80238773048356,27.176203529696522,29.42467948263713,29.907933209184595,30.47175490224921,32.738287442883134,35.230667413393185,39.406548241069544,41.72304145449549,41.767658615265645,40.427446511915534,37.20062388836202,36.36149261813666,35.44444483775422,32.73461835934224,28.855345331540956,31.63082189715244,26.397759273159313,30.76684115307727,27.31990870909345,22.235118886849083,24.02140016839523,22.155345793394055,20.47967491944341,18.619060720934403,21.506719063683384,22.07920095414284,27.208882564751672,30.4580915417738,33.48886850794512,36.22352023442442,36.74390082966311,41.16849645928611,38.29579687270326,38.47159253948119,33.98938883412115,32.41281772075625,33.25839938165144,33.322655253436714,30.478521575256,33.458206604923454,33.040231614672514,35.50095687168945,32.337412502540246,32.2939384619793,31.06177993273413,30.992088435775706,28.744025476280907,27.18991816337737,27.6722250035217,27.136397779409847,23.83764030684804,26.96533423084993,26.024675537213035,28.045875636700796,31.009129219202098,32.75909520572051,29.190974156693724,28.20707711863923,32.62786787115236,31.52800786758286,26.373913813674548,30.41738103833773,35.32512805778709,31.111127094290328,30.619938658643097,34.56056649084713,34.84516482701035,31.332251395772783,33.25423795378773,30.437471262872307,36.20052855543861,30.709844997263623,31.948417675397575,36.16452772963624,38.22005638011771,42.67085435716526,42.307940686946004,43.51419513298068,41.341518319634716,43.362427726258296,41.25446188465305,42.90970651390642,41.45528378999358,36.05061220891348,37.69764117233313,38.60890923842344,34.49369373083999,32.53400933499089,33.97458742886175,32.16804834481507,28.958184750079806,27.57958933416046,28.145966065937472,31.61783918676824,35.30233060163067,37.15160201917676,40.12642231916059,44.19956855651243,42.28094546754897,37.80336857691887,41.038958524582235,43.021983723012475,38.6212159140752,37.69355256210245,41.75356172035515,41.27163354404703,37.71276531242847,41.40042188645876,43.59176164287055,40.633246786152846,39.91595370712757,43.02153065624596,40.25746312319442,41.82303243806519,39.85903282093835,41.5785722219081,40.815774944668476,35.54746375261812,36.63754052943537,37.19683059931164,34.66513331656294,31.40779773261695,35.285996557969426,33.924408431777124,29.074501809218745,29.08041058148846,32.76672223514596,30.95431237448307,27.298431601587275,24.532446938832063,25.770632544101094,23.355377926900083,27.52278420411326,24.059295624724108,25.63870543566243,25.434853546895603,21.952793935819148,20.60572016996884,19.58144847684222,19.213680557512934,23.328004171292022,22.15389682671392,24.33812078424545,22.9361914633642,26.855554192911352,30.805111139078296,33.911257454108956,34.650904783983165,30.189960132815038,32.79523302062657,35.78255511660923,31.932063987669004,29.841020260969827,33.82794105625495,37.450481793659606,39.22323588934121,40.46316811916463,42.2353910274563],[33.877382390589815,31.36150171820254,29.27636774150052,24.77958390635129,24.643327775893415,28.807095785554676,28.193136308629505,32.50105147683211,32.08988204421465,30.180017733729304,33.239502023267384,36.84739553543484,32.978125898105084,30.88713881526525,35.40355210977927,35.992316906378385,31.61482294380973,33.881569220809624,32.212772242531635,34.51577409489916,35.52938420454011,37.97395959787409,37.021555750147236,34.27640777124379,32.84807948827826,30.5671713599844,30.203083735094065,29.264175627508774,33.07805619738919,35.653133409454504,39.64950249453666,40.68807988451803,44.89311339177578,46.474525807960454,43.119162263336364,39.41081476852031,39.419634600656494,35.832649565538134,33.66733195181502,37.42423280244582,33.0347058728746,35.05061912768551,38.697768834297904,36.17788701750054,36.290881251374145,34.065282770688604,37.74491939124853,38.80867642628281,34.54015176284231,37.69709510441009,41.12046714497355,41.88690992815959,44.3902678051741,39.82602410764818,45.602257773909955,47.359166737928234,43.23476373887504,44.65821520880473,49.01728311617863,47.12958543842444,43.78707828359015,47.03330085545881,46.996519365870356,46.72015391489209,43.144855121224786,41.44616306189046,38.76855102613368,38.375141074195675,35.26131892608857,36.00576769888495,34.11677268531076,36.409565614160826,39.14540088697163,40.09686471816709,41.387230850468626,47.011955111069234,44.66218884973567,48.911927108678846,46.93332831436999,46.265721815036535,45.62018023139196,43.233959000220906,43.36978827140068,42.110604168737424,38.169346674772214,38.75163263882757,39.66553811178733,43.26668598455651,41.759071941259954,47.092222593238176,44.780064371821574,47.94115848933556,46.07706486264309,45.82117570172859,41.766162983432324,43.446826256161934,39.662742771753834,42.363426069761246,40.961430348640995,44.36736883901974,42.72510001490791,42.4592310764918,41.26603492083816,39.729642193159,39.709231373449555,35.621684672146344,38.33269706677578,35.74810326141106,33.494510005675906,35.252574747855796,31.823870843757422,29.949812814799074,29.136468292540517,26.00100286721511,26.776174600118562,23.473728353239178,25.613928593295082,22.317686813948917,26.76926984539164,29.08939526201327,26.516907139884502,26.192320040869912,21.540951138131636,22.348282804225935,24.015325878059183,22.570743373550876,26.5265531583489,26.260256752572424,28.194959124634426,31.58919944711324,28.643034737482477,32.86181390536532,31.05439934304731,34.28646348251302,28.365758119003956,26.850741424125857,22.691384037263198,20.788675803807376,18.411219086305508,21.140191124881003,18.02787586481915,21.18499021148604,24.104524098280447,24.05350063659797,27.40070485304137,29.72930892554005,27.379800638855233,30.096301598232596,31.254563691213768,31.86903789033267,34.79484877445512,36.925417115954716,41.464580438466186,43.59357953200171,43.124136886822185,41.878341192607465,38.37344456250788,38.07583727406635,36.544366729776215,34.58160515883539,30.344762418540384,32.31770199083039,27.007623847405654,31.377030866297073,28.28382329672434,23.12656394139523,25.792825033213884,23.814649577656766,23.052321720650458,20.80428554301052,23.886431373896407,23.821164832859886,28.797044749333093,31.97813250233933,34.78992081335264,37.79487057844535,37.75939019868455,42.51743953038034,39.490747103190046,40.148184567219985,35.578945018930916,34.632525269764514,35.736865611528145,35.78173413856947,32.64498084484431,34.74788938818864,33.64308629949341,36.12568888459874,32.73787920750068,33.4335202248797,32.60104262732247,32.98377360764618,31.364066041999628,30.289573578537826,31.26073391705899,31.286011605369875,28.12028912686225,31.512932959400345,30.87196080456993,32.48758712311778,35.86769363319985,37.2580225415828,33.51717952817818,33.067394055219125,37.48191639566456,35.973955121296775,31.016967642719212,35.32398384462789,39.956214505190516,35.403940630611345,35.162669288873666,39.1458760502783,38.9723661615439,35.37063852192774,37.66896992837371,35.098436893400034,41.01485846741477,35.92417006897632,37.155934891905815,41.368057176087106,43.67566778898907,48.122081217205924,47.86922699277859,48.953310098913875,46.74149146044696,48.6824894255599,46.349857688804576,48.124595462875604,46.875704438888484,41.33988913897296,42.82703830226867,43.94109680260337,39.93741579130239,37.77614347576406,39.06332897290871,37.57359899214477,34.439242755610465,32.606835408365185,33.294989132065886,36.27713851606418,40.09801915972895,42.0122477264231,44.71798328429837,48.83029727224068,46.54701446098255,42.24323336836464,45.662991484552236,47.29968401356695,42.73818958345801,42.16477665111062,46.0997393678855,45.36545012520292,41.97582438304139,45.957257169191344,47.91666981530744,44.71538927130785,44.414541308147776,47.70490225442235,45.12039546604295,46.787103973717166,44.764968510127055,46.72881939402107,46.0302747488903,40.62186355358588,41.850698210767504,42.61806712043564,40.03256890629563,36.757414144227866,40.831543672766756,39.54801790961421,34.609793126938605,34.64831576704035,38.45848025802571,36.66338624117265,32.96846947662475,30.03474946180843,31.35520306009102,28.704956328373008,32.780785603020846,29.031878598592566,30.603150818998415,29.833354360458827,26.450770678906974,25.47155885362193,24.865475516453415,24.508223849642018,28.529599724430078,26.71434777441634,28.798258753866588,26.721686563958578,30.81117966050969,34.467334105145895,37.75137768541447,37.831349274166,33.51865996708965,36.49573225864107,39.06030488585737,34.70068262357407,33.029040308639274,37.34842380777832,40.72405812417822,42.41522268008115,43.629143372002694,45.3930552282191],[31.0867682285578,28.268942888869724,25.449652609307886,21.193358362394584,19.877500310329268,24.30023886349362,23.260613778150823,27.368475299422244,27.405466341031698,25.41051199498362,28.655085548387234,31.973770226667195,27.822779694977907,26.329616939429563,30.73679597928812,30.944537859581814,26.578207125337993,29.06627306217764,27.849982819519433,29.69089615627533,31.143586464689445,33.453251820628005,32.97784613399539,30.449982448891408,28.452296231698913,26.17103747293776,25.198652019674356,24.11903648607906,27.824333525918817,30.190030916150338,34.72029550695512,35.27658631984813,39.61822720529195,41.270209746044365,37.71780054949816,34.126994430324096,33.7531249903802,30.334241460852954,28.083944680964724,31.79610858262524,27.7753484590807,30.036470037359333,33.69095922722212,31.37105989126976,32.00817163403041,30.039156380662558,33.81389817478371,34.284324258839696,29.890015123479845,33.1027665786936,36.204006453595674,36.71241859544135,39.15532492379906,34.44756626314714,40.08970662062986,42.21061833082569,38.265596114496354,39.42647026316028,43.897646400143394,42.40457806082327,39.092547053157304,42.40392357363132,42.235089057590756,42.455314088665865,38.78671502417195,36.72032872405728,34.52922220297072,33.84953177088666,31.263616452109083,31.90546280253465,30.434146274547288,33.207398540333614,35.3856443905252,36.30967741669932,37.01541883535574,42.625522045784045,39.91585047297189,44.002706207215454,41.790574501864384,41.02786997955608,40.03320608090979,37.53242379806465,37.41844987911478,36.120085696607674,32.25213788169283,32.895411586313266,34.138704834461585,37.606442157442515,36.52411302120988,41.8551191471092,39.86018966607875,43.32979857983761,41.438037319948684,40.99976792894494,36.942334913410086,38.91584427413697,35.17470508151827,37.30448326073197,35.78807718708206,39.067817813395756,37.11932137765788,36.644847372238665,35.3056802213622,33.669224934161115,33.496485360864135,29.486081151243972,32.26012614128827,29.779117398949378,27.70819875292962,29.34248138343873,26.116340906101424,23.99070538444992,23.507001825292313,20.213083765824827,21.408235491946122,18.129940988852578,20.52205686880804,17.50875873356811,22.647700914710526,24.575806761198397,22.297748798832217,21.7284246701256,17.033245640346482,17.43424640360026,19.027835307897714,16.8827636527933,21.07812619209098,20.359081979058995,22.28630768467883,25.497356190375626,22.86053313597533,27.118407706980726,25.246954626649135,28.233109772118535,22.324000757061164,20.648665657661514,16.71988014374212,14.58959711851556,12.329589053392139,15.129367888327584,12.699018964624752,16.36481382925519,19.08819482973861,18.527023217438135,21.83492044877129,24.10007204575763,21.65639297376787,24.320472397951985,25.337618317751943,26.261367908111417,29.126134971515626,31.63189698896735,36.00048090231341,38.60334233220609,38.0156458029498,36.420066882134634,32.87559336237617,32.306082044434355,30.761680238192902,28.52309841379753,24.20279231178616,26.3632130929604,21.049701958624556,25.46981121193633,22.43167388851258,17.38987644924555,20.084236545896538,18.663946511705593,17.67486958832261,14.988571630166627,17.90824861319748,17.65937414902114,22.67295903330143,25.82415055057584,28.659029952692137,31.625797248532194,31.757149956292707,36.40642966864859,33.397950878323535,33.96896596352756,29.476542595205586,28.407788190086546,29.646379739568044,29.873095312786198,26.701467044232647,28.96152593454501,27.968890460978503,30.73847724785372,27.696602272278795,28.235090771141916,27.504517232715358,27.52937660460418,25.99436543078012,24.792165973458204,25.822800927185895,26.144964549084552,22.817519942206946,26.292806484769827,25.919663556344034,27.14885904380634,30.941694909549742,32.087145577765874,28.33763955967045,28.480581209204235,32.908439772497736,31.321048157754387,26.900407201193058,31.37202272027449,35.710539870463556,31.45330024985151,31.68004773972988,35.672613070065694,35.310077816210374,32.21460815547382,34.89960296728398,32.33308474538204,38.118249173450735,33.47767110323095,34.029948552171035,38.19501030358841,40.46750255707283,45.18007884972692,44.660016195918196,45.17550983328162,42.67965267866143,44.33116819345026,41.60962295140856,43.53395533838634,42.70760772355002,36.948903116012964,38.12749325757409,39.69511957741693,35.922253820522265,33.34469724189933,34.53393758590961,33.79777957663056,30.66353909357789,28.082499367000704,28.73322850064112,31.049644713656434,34.97981479655782,36.98401481935843,39.38724454176141,43.58068285823309,41.012104156646764,36.872224116637945,40.59844615441122,42.00336914319306,37.42724870448534,37.253483379412145,41.259588813194654,40.5410416383946,37.41312767695922,41.544526024586595,43.54108369947163,40.55516748702603,40.4912644797281,43.776193804797956,41.21203786822139,42.58876547110181,40.23114006630807,42.355124039682856,42.113419260506014,36.57811100737219,37.5716259951326,38.85695798166259,36.44865544342116,32.806494549521574,37.143164439994244,36.50719819347764,31.393769616812317,31.074986517213294,35.40675996954857,34.17117873340534,30.392519965623315,27.4384957035751,29.635136251701805,27.258728208644488,30.978417551094463,26.913174841530445,27.597831775149242,26.628176934863752,24.024652083170917,22.590288394304316,22.333614961400954,21.178652824012985,24.64311331861612,22.078163087841695,23.65707741676843,21.327860210895313,25.906693075715996,29.18949877029663,32.65252551216752,32.637374051727654,28.583392384616683,31.96019520700338,34.457220087120696,29.990703062758108,28.920097651629728,33.37131630587893,36.808642687379304,38.48559625166904,39.65701803050163,41.48373052425727],[32.58376847559437,29.555125942394476,26.404507961919865,22.695661715709456,20.924237591116565,25.99434709022581,25.113956043519337,29.134184226259254,29.68607030831028,27.85506611613519,31.22350843266403,34.29658176269273,30.014909475810224,28.968907276904478,33.24837116702247,33.162834804929105,28.784337142843174,31.2199244379876,29.966618924729257,31.366777584988252,32.76904145378196,34.65653078275417,34.26176817143314,31.571577766965994,29.546896419882625,27.719997167073075,26.58061954152666,25.863079682303972,29.61910652467635,31.940772810132362,36.87771986312374,37.10665438772497,41.54919065494703,43.11805736559109,39.362900174715044,35.78843804285967,35.124733129703394,31.534897335154657,28.983641130328124,32.06615610822104,28.210944975288164,31.020310347410145,34.37672497653276,31.78294432502004,32.409643176256075,30.139095036214133,33.78205738410634,34.34545174401359,29.689097109987777,32.48658506175946,35.840229641714245,36.28162782487441,38.951171492190845,34.51252857061488,40.26408064206996,42.34223365123301,38.61583831870206,40.09288918696836,44.46149196834448,42.840899388038935,39.93410185817599,43.56001976635921,43.62639088681626,43.93584572423137,40.06705166039826,38.090386554938625,36.39002752655159,35.86410161849111,33.63262869997981,34.47095039392916,33.15603985174741,36.066295824706835,38.02914891017496,38.69274464174358,39.24364639043142,44.66211468512202,41.63095212056101,45.68570058223954,43.20078100318212,42.107109876462616,40.968486529605634,38.09631886696765,38.04364594477079,36.29192485175403,32.468793348515774,33.62375741264732,35.114000277232975,38.728688101558674,37.97076225014023,43.4587865178594,41.769448211882946,45.43596291744289,43.67859294067108,43.23370516391254,39.25852186717887,41.442939044032926,37.77455604115679,39.49870451109293,37.89334097065786,40.96855692251427,38.773765350106935,37.92292790799605,36.42403483916202,34.45314578568585,33.71537809402167,29.74611103446045,32.11482366149398,29.276679823676627,27.464283996398464,29.539009456835192,26.69137732113748,24.79291474850323,24.960949389086224,21.72084231657386,23.49320507383981,20.27401389637408,22.673339128380114,19.68868629059316,24.911557094076755,26.94708500868249,24.96847404985473,24.430153433304206,19.81505766149206,19.970172575978555,21.3259867670215,18.454651158461473,22.217208368009977,20.98998571593948,22.375093682861202,25.244563732250615,22.04613636021397,26.027839942792905,23.955202196252568,27.412166265937124,21.500772302472203,20.548874547173764,16.25478238153132,14.975933026093006,13.541702569704814,16.1434486057894,14.073322899840926,17.270307568949427,20.46241328779959,19.838619958173,22.839322056382112,25.480490467218093,23.134884223240096,25.84768018248544,26.613863402351136,27.88580399859082,30.421385385111748,33.35065578120357,37.43109295926519,40.37668796445184,39.94083437330597,38.092548980758444,34.611302163998566,33.627685932832264,32.21696995023085,29.403432389847556,24.92681042820425,27.32246632073705,21.755124259825955,25.872826106029123,22.161052677159187,16.95024178510532,18.945881243201985,16.950006555138906,15.810717903564374,13.841693317893496,16.957023501853833,17.505707698502295,22.504703922709915,25.89255568985878,29.0452707559274,32.10949748704267,32.73845548948127,37.02810265575464,33.763218960642156,34.07550499457004,29.26537867111701,28.32981628940975,28.888500252731518,28.74679008470529,25.755630141230046,28.30273551505943,27.760162412926434,30.04750684539582,26.84016572563902,26.96053072955742,25.871798257182586,26.033310259548156,24.142738148535372,22.978086869743034,23.947477205185994,24.076142916374902,21.122905021260006,24.71867203851766,24.61989079833023,26.386264951693438,29.984381389218736,31.602344106195073,28.085946018959266,27.897242002001224,32.390773577811146,31.324099254225622,26.872975585618704,31.076813755518003,35.68280350783667,31.87184673729371,31.925788873384043,35.87496792958961,35.93851333563277,32.9724047268515,35.31566865145544,32.49824933071741,38.10387131340722,32.93875774383935,33.486586336300604,37.655610426482696,39.4776496628008,44.2231278327266,43.42372558843816,44.02288673948448,41.410025919928934,42.969743940606826,40.378286154828714,41.928893995933365,41.04362299893144,35.5184432214108,36.54369181250253,37.7187063685418,34.030833255676555,31.566866725109684,32.47601467017449,31.49506903251516,28.616969355169974,26.015784406445047,27.224006125088163,29.703161529354308,33.57972388437751,35.908574904613566,38.465467214009806,42.80384517448094,40.47031706646181,36.24422816336743,40.089080921750856,41.792677410991786,37.393329686243916,37.08957982557176,41.30691441251787,40.86656375984279,37.679462327469764,41.55183843583995,43.81762103650285,41.127129706668484,40.70919371953604,43.78942548022513,41.00952130018101,42.14932917608682,39.69488016593958,41.48054666041256,41.380360905755325,36.01578117666829,36.60121404990216,37.74402505110399,35.530758242851675,31.70945774750376,35.62640928444624,35.096081156908035,30.18166121391469,29.452940370022606,33.55004951300285,32.48120044061084,28.880418828329585,26.390913145737233,28.24393605655059,26.338057855708502,30.28964634318877,26.693750686929288,27.39885393044752,27.048799627822582,24.362996181672315,22.514442238052787,21.68905883826978,20.35658969704944,23.82491898739519,21.853509796376166,23.131720931095305,21.498432763334886,26.295985953856068,29.648662878243393,33.06976600600668,33.55631560383629,29.517363272572037,32.75755855930316,35.56171600000978,31.41484965949909,30.22890400496039,34.45407091652542,38.0796291989051,39.79512550519914,40.94649245186042,42.766139642808554],[36.14975556336894,33.23101573210925,30.26464790967223,26.351201295490885,24.786327351613,29.62169164754095,28.559306334171303,32.54354896867716,32.77769506680782,30.592895641109315,33.772463196271126,37.048092522764136,32.56484120751365,31.211881470792928,35.32179088352293,35.32339901359837,30.73586709663944,32.71078876908507,30.81667489905744,32.37116311288737,33.25809603693108,35.03965281221208,34.229070002028664,31.2683888945615,29.7430134275944,28.14819623707894,27.571081050571273,27.30391286811312,31.33436122378282,34.069796975136406,38.651579488031544,39.36258988777545,43.72162296787796,44.95522572999843,41.26170478307476,37.45932316819253,37.202614191872605,33.113195280410615,30.50720693490411,33.44250914057211,29.124513583883772,31.82774248737185,35.06490917086469,32.16762780708687,32.26716737188753,29.70570591212601,33.249211444733064,34.372009473233504,29.829428587051318,32.56918698273417,36.25228334995122,36.99686815224299,39.73566819856501,35.50060245155961,41.4456544019489,43.05315724965582,39.16139608278887,41.041222328102634,45.24286778902297,43.1479550588727,40.342149473488725,44.049530345769185,44.399319058118934,44.24550944911995,40.34043926833688,38.7948264033699,36.9232146303556,36.844750515576926,34.38756557861941,35.62438931195104,34.04545938382201,36.705068849081144,38.931089345766836,39.283624282886876,40.30151012410457,45.55378445786795,42.62328818822222,46.87217477704637,44.45637747732134,43.26236185168531,42.54360529827577,39.66957282545057,40.11907285222767,38.27983411954062,34.32005921841971,35.544457951140366,36.60321330434489,40.557032745588046,39.36663897097084,45.034278661731456,43.194228432437576,46.69199611898393,45.16151514535967,45.03163218635118,41.22075958517288,43.392530400991504,39.851037753902254,41.85675540388374,40.52692576923498,43.925475486397005,41.49467556451257,41.037312014041376,39.222847649351806,37.62568993368178,36.768100968098224,33.077754899949845,35.555178055780054,32.76930275491096,31.19272888758032,33.187542341255906,30.433490528502396,28.241333485440588,28.310106893108376,24.806919266400183,26.075943008845208,22.581801170205523,24.46302213616791,20.992216728072496,25.594357887494088,28.24294210755393,26.297581658357558,26.24637646650156,21.717268749869657,22.456491493265002,24.29056198364742,21.72288746475521,25.913887558356958,24.602626663261894,26.057828367576896,28.65203785465612,25.616520597407362,29.437873914170044,27.016543968154558,30.4661452690046,24.57269004710885,23.6952066137834,19.816142439652243,18.213941491767393,16.432637378944147,18.539649990002452,15.385314288217186,17.80468270739131,21.424505194900874,21.459184666209744,24.369052808572185,27.392327359263103,25.334063316779147,28.432284556598596,29.569253765267764,31.0085253071362,33.82366007587831,36.670835431596196,40.865639559242524,43.79447421565396,43.12459275622217,41.25388943690785,37.62343595917637,36.82609882519678,35.065470056185156,32.50965344114965,27.727113483664453,29.613014484098418,23.861657407004913,27.75860940995677,23.928889685382973,18.612877019149376,20.85950016409428,18.318902698892504,17.95847172330798,16.29298299665183,19.593640765204007,20.112393519300866,24.88550407950723,28.32754484128953,31.477182112417466,34.79258008020598,35.28070687501903,39.599881645095905,36.0684122811285,36.594258953320534,31.53874150049732,31.191606384576115,31.496659595232877,31.070851263928926,28.019892009984833,29.997681127396653,29.186199138182467,31.091764330291376,27.52836125049642,28.0019499130346,26.982588502795867,27.68113865812137,26.072274365657545,25.361679533576662,26.619011677737223,26.94955650103994,24.419721494852958,28.15788782259566,28.326776422724283,30.202456041791073,33.816980220670004,35.51691442568579,32.04007818663102,31.853529467355827,36.353509906620374,35.33874533411235,30.859944152633826,35.032665539173436,39.68631797196944,35.838774070651745,35.833080542422785,39.78857756558436,39.85631117844038,36.77952043592129,39.07373557120113,36.2520825130951,41.89619708459501,36.547046643587485,37.268779540179075,41.45165026303789,43.17485543543184,47.86913272993303,47.03541685269394,47.749710058877994,45.121105915303836,46.640818961861335,44.090845340731995,45.44810640666632,44.558484263973334,39.176072191037115,40.081613294263704,41.025443640775165,37.42414726825501,35.032471361604976,35.69325635479017,34.57139928667122,31.91970190827421,29.270450974478578,30.863912428837953,33.27337657747251,37.1396674225686,39.65931249087586,42.188318932915244,46.59734614265953,44.23951488510785,40.061271920421646,44.00239242452077,45.70357255814024,41.31983421720552,41.07631278512696,45.30827668911514,44.86350099482465,41.69224752839232,45.56355802624122,47.82911425445724,45.1069144910736,44.69095513870359,47.7701352139487,44.97236475074224,46.10683970229446,43.646085723513416,45.34503000409119,45.2559228799991,39.9433335243496,40.4420078853916,41.494455582069875,39.318660965437715,35.495722750974636,39.206493792277094,38.61158762265535,33.81623207518607,32.98511507796594,36.85514242678748,35.73988487004544,32.24595621361463,29.91965569510597,31.377268877608053,29.5106742959634,33.657665659118514,30.222786273181615,31.18244723186029,30.87849320626365,27.983585781286852,26.25259186389731,25.272233348619075,24.111563083093493,27.688028336020537,25.85776085817184,27.0623607374732,25.428303025068182,30.284896590867678,33.57141642571226,37.03230187834607,37.38872788466905,33.3956927651007,36.70533200794344,39.429097775900914,35.15070593413889,34.02936172867377,38.3172795819244,41.88972028235277,43.58422959375542,44.72194495811305,46.521238124598696],[35.297962013330235,32.489786722552985,29.501122804819698,25.25140640465462,23.44113152556826,27.62753861227575,26.021614932892163,29.812672490561678,29.669171613716934,27.044488868393593,30.02439180157333,33.41784421002327,28.75885122766112,27.219019820268134,31.154257104331148,31.21778054012087,26.541135381848342,28.327967982330627,26.306237264342236,28.057955400827584,28.926328338747407,30.959278799023217,30.120296463973055,27.296772129147897,25.731737993457916,23.8499560543241,23.417241062153888,23.06637834657833,27.15448655088967,30.078323773879312,34.353182168321695,35.387155880842386,39.65498273720242,40.76474473578834,37.188819380450994,33.30528242132494,33.35353877523889,29.19480035431061,26.782689872451908,30.19350440061323,25.655429236269132,27.91323662316834,31.373765257368525,28.696047830350665,28.84006148136266,26.600398289373338,30.302646149099008,31.24689305653801,26.958854541696052,30.158023057304405,33.54670444845889,34.36331598170653,36.86971446797245,32.37876310076254,38.248340952440934,39.85330900136699,35.750613634709495,37.385482807458814,41.66152155594785,39.66915740444816,36.52662417754383,40.01055875175469,40.21958795619029,40.00890418535256,36.22069343444184,34.62048857863544,32.48664278361779,32.38263902325602,29.803847409534246,31.07935993186019,29.457991279099502,32.10987660304912,34.3353803247707,34.68788145972129,35.7834835224727,41.072802808456075,38.2869758398802,42.57934252784081,40.32331157855962,39.32439602677487,38.79294850787827,36.20776180155816,36.76768214460726,35.284515933374735,31.242883407249852,32.06203570492805,32.80659899103145,36.75360996690747,35.24444491095654,40.868916146892275,38.85371900834292,42.24097301047657,40.73139139579107,40.711842066812366,36.971426403967065,39.12357599433552,35.676442369470514,37.84983481828052,36.74455940114708,40.45192041654547,37.87689187101795,37.91430909363942,35.92226450113039,34.84752555768385,34.317971821976556,30.86682667716157,33.81954067789486,31.480131131890523,29.976368857673375,31.423452219606546,28.58733508720731,25.82913300399063,25.521932560993562,21.72428922954346,22.370988659859112,18.702558034051812,20.2452978988598,16.59872013077654,21.029749482437243,23.77259109107243,21.83854739713066,22.013601040563792,17.618980410284223,18.773909380446813,21.09866056601994,18.92955166273653,23.848413404693847,22.567298535388343,24.482774001009986,27.009035821985744,24.817396655780087,28.797942084343724,26.28553032558878,29.11460175701144,23.247783193837897,21.679964370970932,18.61883359622361,15.975560177597355,13.466169203030733,15.221068403971543,11.375476909176319,13.907582949630982,17.275674559240127,17.533399983091225,20.588629389160044,23.50626845286766,21.55398569031423,24.84494823807225,26.37683855910736,27.8567364983022,31.08456214175108,33.72649712913365,38.09082540783042,40.998683957877944,39.94089215148017,38.056832270885245,34.26864671032712,33.79826681256391,31.660023231813707,29.64044319235741,24.744761289136413,26.14658156768577,20.519350798281618,24.543981541696965,21.312988009390054,16.164872987364113,19.285894867240412,17.399044075697443,17.471824797003663,14.98911794830101,18.127401006453397,17.783993313742886,22.41165610104749,25.64499501705511,28.50346011446236,31.870137461606976,31.912081289695614,36.49066080398632,33.0370962015263,33.89710326950637,29.037651886392258,28.89201532377802,29.758483070548635,29.636727625814697,26.338470641158764,27.77628952184991,26.41315414040087,28.77577548949111,25.41063545842219,26.431555588427344,25.907188287600697,26.519234242766572,25.500268359175926,24.926293729171842,26.46653214801783,27.32198212000568,24.569917046674192,28.354324601847967,28.634274919182097,29.82662811397805,33.90451636952853,35.05312006911276,31.41200988377533,31.931548290515977,36.36178554692516,34.86858030797704,30.807596467972164,35.26916199450682,39.482775619077685,35.44461089955865,35.86542667627675,39.83689050950192,39.395585764389246,36.497934221953884,39.29796382758573,36.72699115951724,42.434469759961054,37.78071963571578,38.161685860498494,42.30033285869475,44.36015078162741,49.16084704391206,48.40053351864391,48.71849611194426,46.00265874618096,47.38819520273957,44.47179188779182,46.176047328396294,45.63230321324109,39.958052061729745,40.723498393237115,42.22607324162255,38.74936816165672,36.00074797360166,36.717963635543164,36.27666093108893,33.500227949234166,30.313601031498738,31.592933135181983,33.339651135335274,37.326967805693194,39.72064813779125,41.87138107955882,46.23585094464989,43.44619982033181,39.50653617506728,43.60101524532176,44.85398288843649,40.32645868210759,40.521399159243614,44.59496354522515,43.903532720954026,40.99800390931356,45.1856985634536,47.21341705508139,44.36020769770496,44.43462794563825,47.68361300860607,45.1029277756024,46.2553751700413,43.6611501757026,45.72933585254465,45.82384643966464,40.31566969641285,40.97749623166912,42.45975692792089,40.24775853290591,36.35110951627325,40.506284043954665,40.21038623325219,35.18769191712299,34.436297540478485,38.75324062656324,37.82590707940024,34.170551370889115,31.501399311773767,33.6212814462645,31.518684788781982,35.318513286772244,31.3711697706048,31.886511911294697,30.947696809878476,28.533909197608935,26.957222057835097,26.600434679693407,25.179765669733,28.41744686118705,25.683823332208746,26.718367754305707,24.354284268321702,29.347825360736856,32.222473587580524,35.836216097337974,35.58964990463638,31.85093053924124,35.558817873329545,37.875788840502665,33.20954507027034,32.66528491836822,37.22064100845913,40.58665194561145,42.20358247978836,43.30558409712727,45.1239110843786],[34.10323895589941,30.99988549330549,27.398544246697313,23.835455962279205,21.034744575203497,25.834188462165773,24.2165984229165,27.78508904634707,28.422639521019107,26.073148918882072,29.29760213568794,32.21636570308851,27.43118955716405,26.742357207755894,30.54697160587208,30.119958858377792,25.582557157642377,27.638791362364678,26.166320215387863,27.166832943687137,28.47022230725158,30.07298962206096,29.779973765046655,27.08689986912354,24.952917830128676,23.41461089931585,22.20271468192954,21.904684757731005,25.807019717875495,28.366603892830163,33.41959191109915,33.68831734015708,38.13451863591092,39.35528699156055,35.48394047855556,31.79883366666209,31.1969729488382,27.211184021271407,24.50111787587527,27.358903538595854,23.400783840264296,26.366067659743326,29.59166836139589,26.924821296353752,27.6046264718352,25.382135012880408,29.03366507195259,29.459587813176178,24.817175603381422,27.675530897664505,30.970905388783038,31.437573927835803,34.09007793230479,29.669493703183477,35.48517875875839,37.46010558511754,33.7328100091068,35.32573937850487,39.63958065074365,37.966143411637006,35.17163734908948,38.92168048176825,39.135574114314025,39.48545472439458,35.509509165260766,33.59750730153946,32.26368064547611,31.929378779149566,30.077840714389136,31.255366345036226,30.130655140836915,33.219847934690165,34.83546374154376,35.105547011754524,35.5302280421325,40.68670742716951,37.40364847145078,41.47232026371588,38.830469385405564,37.53460538720761,36.4972367029382,33.517386333517315,33.78140617442484,31.902952425883964,27.99230954982279,29.285651840579405,30.628205476255697,34.47744344204833,33.6887143880484,39.34844546079571,37.844637391764024,41.62256145961597,40.11511127716593,39.849541365225846,36.122775232759686,38.59203470134746,35.191851907575725,36.590332720349195,35.23449307875016,38.54679845263846,35.71315517797201,35.15867625466614,33.07675044231178,31.52131544788803,30.45705340959842,27.009397012666877,29.621910979600216,27.046868303928015,25.825097428863025,27.55885440726106,25.161300243679463,22.54056372836838,23.025817333925303,19.315963717951405,20.900644318669833,17.48484691737041,19.379499478302264,16.256306181932423,21.344235497137866,23.600229703296446,22.112552497031754,21.93667236784671,17.666897334997216,18.077621641277396,19.90358722528795,16.6470035138186,21.130169440729237,19.174552481391096,20.589520601615384,22.740612628932848,20.287935032944098,24.06947675078579,21.42538814938596,24.4739761902577,18.606434514438195,17.537541018741287,14.31897097732765,12.313869605224237,10.81594190349746,12.505777397863762,10.052844000043379,12.713820032907279,16.1520062362114,15.707964777197489,18.439905526373977,21.498154934936895,19.478701180229766,22.60196114093566,23.67638175153472,25.56938435281957,28.356467641525427,31.567594654953854,35.52893364117951,38.95315082916177,38.06126342520887,35.80553355098335,32.13042695962837,31.090619295774022,29.203514041385418,26.438332614784294,21.46898241904876,23.381337429392207,17.59254888565306,21.443653885773813,17.627159666471933,12.369983793449686,14.820550941899112,12.964484265424097,12.581223715642794,10.26785130748435,13.465598824491229,13.721828616381096,18.450792885509184,21.881447329466813,25.052256491024785,28.39538140460537,29.030252119671502,33.21408209187509,29.644053022771956,30.144521637321866,25.122559356950926,24.827074594503628,25.267405941484657,25.030846178393745,21.86421739750123,23.857811330367035,23.074035185718913,25.32529414061535,22.174729432206707,22.572016650387138,21.766464094565094,22.086539436653663,20.734956853540048,19.994535100991865,21.475707163531688,22.35577180516976,19.735134463595305,23.608778880156827,24.232852878827682,25.540024175043403,29.67250135528042,30.999449323600363,27.569080552818793,28.18950331335646,32.607684835756174,31.468108730148625,27.767789748930742,32.04966128147802,36.22947290821528,32.7467768809441,33.29723266509236,37.18354354716969,36.96634175710752,34.49043289936099,37.20885743582172,34.497196038089996,39.920068990501186,35.23510865735524,35.20751312198034,39.262190193395455,40.9789101469929,45.90786779671216,44.819961422328205,44.863290675046464,41.937503341000756,43.09501718455955,40.06920422570209,41.61715904972827,41.27218639614792,35.661429560507074,36.15373389097705,37.67512799241588,34.410850310208566,31.513494175058238,32.0109394990256,31.88812513913088,29.290519194538255,25.676317879364465,27.250217964190483,28.68506881504009,32.667482066103695,35.2967040861497,37.38037265593869,41.860199356570504,39.11278544653655,35.20978605245967,39.516352419057846,40.864904260864854,36.49281110653122,36.79195125978687,41.029891729414814,40.568163800436466,37.77691921755458,41.81072653773166,44.04790093382093,41.563715147853685,41.49092524415232,44.554213950299626,41.850728921046766,42.663894298143354,39.83972578168526,41.747542475965275,42.19068488115707,36.78445058271118,37.028254484608844,38.699662732889756,36.74462036994318,32.56943509357154,36.559164436540144,36.716686446337086,31.795486096512928,30.5861120347823,35.013660185099155,34.53528080172858,31.00523686491948,28.671323687051256,31.063665396409498,29.460067149363017,33.103443174039334,29.364195341220437,29.360073254972143,28.764561548373074,26.805331917428457,24.728235568790563,24.22144021041215,22.24879721798852,25.025662819870767,22.31096159503512,22.776409214691082,20.836287204143193,26.190255665978743,28.867824543744458,32.499060404819325,32.62787508763044,29.081490444790276,32.83775670340138,35.35649585549882,30.97731113868907,30.64324112693399,35.017176661138684,38.541004675310226,40.181627243886396,41.246039354081155,43.08372157573007],[37.3307380115396,34.148119128002854,30.541566781675893,27.2503021557278,24.592926428308548,29.82068878239784,28.484483265955564,32.093184361381255,32.927127379475415,30.69073690111773,33.93762946616745,36.813206633913175,31.99831886494653,31.37511611485038,35.1123748732797,34.605546263499306,30.027786243640985,31.861415142960535,30.051701012923097,30.861075931003636,31.806520027389567,33.000818087356116,32.49348009002245,29.504181031213193,27.729795970912228,26.719936245000092,25.7555359942983,25.9443953649536,29.949702147756643,32.616091090418486,37.72427325368658,37.98297913310248,42.433029985695356,43.47185004898075,39.519046179600764,35.77624123280433,35.149278339021905,30.862720887544743,27.924473525915598,30.07489605998193,26.075557598662645,29.42419851643307,32.267067988236825,29.17413558665977,29.471806777126424,26.74784542502159,30.1478682758902,31.08160320736131,26.28085823396202,28.595132466697237,32.36879015878767,32.96596100208688,35.885436013219724,31.921550917932656,37.89771350315939,39.53356396771854,35.95483343448126,38.082421259147864,42.16619070652336,40.08292373905725,37.75439638105623,41.80145780455744,42.380427333187434,42.51006928382579,38.37888903014445,36.826681233254554,35.75240594317966,35.781469805659434,34.006947410215936,35.47800711361962,34.275655912368336,37.257734440853206,38.94514887555089,38.917002161863486,39.52468074021956,44.45135650202312,41.02908189865737,45.15467202450357,42.36353012720637,40.75619397894598,39.82694669967604,36.5432849281493,37.095036486794804,34.772001309586344,30.893956618879052,32.67881793667104,34.009223219169186,38.10164037927927,37.36428631239435,43.18264015820013,41.823057719397525,45.61954400469776,44.30476461114645,44.171260034164085,40.56048363675008,43.102142629930995,39.77019845885259,41.08593499467537,39.74768862332077,42.9841999184917,40.00727415187946,39.26914928112368,37.04667523360729,35.30573792466349,33.74824980922775,30.407143984172098,32.59292852946135,29.66584559308616,28.685737368681636,30.858034615796694,28.74890147806068,26.42400643032365,27.287834625261812,23.686076982687386,25.474593320944447,22.070305238964423,23.80491362426762,20.528353062113847,25.249812476599395,27.860842677105715,26.487094636113977,26.49538558817184,22.24760556898027,22.71613743390774,24.45065643684945,21.01301490878495,25.073885157520802,22.932176452502656,23.871741216613437,25.705318190096243,22.647527432977196,26.023263162068012,23.148191190489637,26.734688316786137,21.00347324217843,20.77505399858785,17.25868962368533,16.164615898831492,15.23121934264306,16.698390578115987,14.147360828055197,15.883615591398238,19.82249625710872,19.701511860507114,22.08736808310782,25.524269160072233,23.710951533404486,26.91162658900922,27.8760492960109,29.93524250454747,32.49816849648412,35.902619104293635,39.69911794984354,43.242947035293966,42.488721188754404,40.1404966917426,36.516615160507875,35.25596172486526,33.44374745314665,30.34502877906134,25.29079455375604,27.20904919003401,21.28300102125729,24.666824694484816,20.213605311318343,14.934501224901677,16.513837799778525,13.542903826852285,13.416743029916132,12.448171241621495,15.784253821673559,16.940672008178062,21.395067581613148,24.9983881444914,28.408587856212105,31.867986425516253,32.871173396964465,36.71523999428483,32.86047718397458,33.1840379212788,27.819509669804102,27.865877950201224,27.47150370931169,26.677734446112055,23.771519672999602,25.796237295582518,25.39403659489808,26.832111954348008,23.280990652781714,23.36171212215594,22.12127262974988,22.952103796872407,21.268760375846533,20.811003829827964,22.27159792213002,22.876343847114512,20.92623779817927,24.864674760796536,25.732839511064252,27.73641845196801,31.48704483079733,33.37943169282113,30.20175863198598,30.275979288904274,34.73556666522525,34.12943297784665,30.192911811842723,34.16206229443561,38.704292316831975,35.513443572223025,35.72889906330512,39.58092492449672,39.81797025218719,37.2480187334716,39.52838881524339,36.579885520215406,41.89777612155921,36.53016384059751,36.76012345886718,40.835176560537214,42.09800761331995,46.95285491075755,45.66455083387307,46.00362517062646,43.05119471425105,44.1937727072743,41.45310878992252,42.502268341009646,41.9598853512605,36.72785447364667,37.1289301799317,38.00895140645084,34.80316092221269,32.20091228078401,32.34910394188464,31.67614735100753,29.445204500104175,26.069325758401796,28.345201199619538,30.15750749515325,34.007642040542486,36.97324407424433,39.30152800536094,43.89487642874669,41.492656212073264,37.47758663781431,41.79334801752918,43.512266342506784,39.33583108106052,39.375270444790765,43.78313303532887,43.57965046790168,40.643151848599146,44.37545379131427,46.8537937337636,44.56244073147888,44.077068127754146,46.949274770431735,44.02959856080306,44.710664218922275,41.9113766742467,43.4039195095859,43.83626846402223,38.66278263515895,38.5657298806229,39.893261243460124,38.08762351020796,33.8720959600951,37.282815724496984,37.323678673186365,32.703250036892626,31.177625331421794,35.112222388107,34.62755009831695,31.344587329231206,29.522325174388023,31.20347306452829,29.987860914712183,33.99831576914215,30.8261087443599,31.189376648041574,31.219799462969277,28.86475647274743,26.6008473961301,25.440247755637913,23.619224375601938,26.621197396258882,24.776299234833694,25.168653898064825,23.977164340932422,29.300177489885627,32.183244306292245,35.705554803311394,36.309884364798016,32.67009052695049,36.16197882541904,38.97066074895833,34.878281725455174,34.212710262724215,38.37406309714586,42.04352112343161,43.7191850416338,44.78110591640481,46.59089713882426],[34.89076263593763,31.63984169488036,28.04058460295639,25.039818840787206,22.553213000683044,28.155751898557345,27.288987694436653,31.05224040863041,32.186111861398636,30.44667186875368,33.891862496664125,36.63194476682456,32.15022454156071,31.68179943999926,35.696538966975076,35.21587303521514,30.8541714553926,33.152814118284944,31.87482757033313,32.675454346138665,34.01717974647793,35.34264758158977,35.099438036022924,32.28491575481764,30.205322497772457,28.971216689230065,27.61409179873973,27.36478279359647,31.119028271290055,33.381066570405544,38.762160920980655,38.6016309354696,43.12539310844659,44.53192515748556,40.54788701260985,37.02079710789793,36.0207894355189,32.234929458232386,29.35276706423363,31.58335389390672,28.016696657579043,31.463873105726623,34.3933520285957,31.518164015426876,32.176056555268254,29.611636808744024,33.03631915529495,33.6324212503732,28.720502581551596,30.958838246758017,34.54122999504728,34.87844370893712,37.791583128869505,33.73411446664051,39.54522447272463,41.56027461440323,38.155950810424905,39.99347346361044,44.195359344429264,42.4594918424084,40.08688175668094,44.06916570356246,44.42304257768433,44.876542776302976,40.79045457366454,38.922201796747025,37.89099302270231,37.55128635927755,35.82808443611038,36.914044753561384,35.83524997532161,38.927004005727504,40.55283377398187,40.863786561671176,41.1792695933411,46.29628875825328,42.861229186443474,46.83563220469951,44.01490874302923,42.50612832814145,41.20200531483286,37.8956479619239,37.95178294225213,35.65157502056641,31.9315993123669,33.710574109800085,35.468999341983675,39.23788058141743,38.88851219286925,44.53042997213952,43.25553480106124,47.154670466729755,45.60019004204175,45.17028771019465,41.358550321200525,43.82604116032038,40.311300879108764,41.48840006869537,39.8364984522208,42.696073465459435,40.106213512275936,38.877247429030554,37.09446060519481,34.82964579664707,33.358357081782,29.608476254592514,31.491928775482066,28.314552524155417,26.9946019080861,29.491076222217615,27.251376420827835,25.50542076295756,26.477079408241394,23.282205200848296,25.609710433764818,22.499019340747594,24.782928763632256,21.907353140733502,27.112980017835017,29.229464846686486,27.682275150295744,27.223800469301278,22.815806053934928,22.75306196622766,23.92586698532533,20.29786903218611,23.627909559603555,21.7047435189743,22.410634444732008,24.62355696527646,20.968917786018196,24.440427874384696,22.02182164219534,25.92896608208081,20.185251927277633,20.166882351463812,15.835835027785892,15.54000811645639,15.103771083597431,17.196693680884355,15.649291144354471,18.10917996933402,21.681723151586013,21.000667364672243,23.506331601019006,26.552954893409016,24.422675953847047,27.183679716353907,27.69900427073954,29.46177398860615,31.633718669095508,35.070320546513756,38.751766067451406,42.1761319245866,41.81856172344504,39.60530315059704,36.19145857569116,34.7283635603105,33.39953035770307,29.967091987910006,25.316835573841907,27.85785554875384,22.12126741728719,25.711971463008005,21.265897164740174,16.093822357569174,17.09528543596703,14.424338924257507,13.219834667275972,12.382512321232397,15.554064137403515,17.06618504500479,21.782980507919607,25.373766253271906,28.845333821811384,32.01481985316666,33.23256836652662,37.01226303135576,33.43268550838235,33.45361342954685,28.30071230748013,27.657423933239212,27.32670082328918,26.69696464452254,23.97528495099112,26.759488147150595,26.77326929004411,28.416202880042707,25.109011254419485,24.693230143853178,23.19089939565409,23.532603970191364,21.27686591363649,20.2637808310244,21.23079969893905,21.26157233552368,18.983643817899406,22.723723646617323,23.182885446943125,25.48358575285349,28.90874230148144,31.018059831673334,27.87053947952853,27.4926504671061,31.973925098741688,31.537974225748215,27.334544671151548,31.16523266680945,35.913105378075166,32.773621897885384,32.76551104806371,36.595690300987165,37.07989896552706,34.437803542126524,36.46890942754242,33.42282392788419,38.693820453101985,33.10767734158818,33.46178710351903,37.552584075085726,38.77058391444184,43.572298053319244,42.34699915737056,42.87996199749044,40.048105111866,41.36604191487492,38.83798636260329,39.902632385519986,39.099832332590736,33.894419258854434,34.56591781297406,35.321557564599146,31.895586161730833,29.48096234092333,29.89616523602766,28.845038563214274,26.42492649550706,23.535883006474602,25.57473895622566,27.944726425413425,31.72843566923996,34.52610733155207,37.12878666090247,41.64811663437478,39.52094921857901,35.31083454755814,39.38324891273833,41.347422582753964,37.21299203186147,36.909827592952766,41.348055392880596,41.240943299772475,38.118134719606,41.68684213288633,44.25008007720678,41.98932394460766,41.24969934549428,44.054836146109416,41.058462973256674,41.807246220231264,39.15224473630607,40.53785649070806,40.768744731717675,35.65431542654796,35.62891775136135,36.73543527270741,34.86582848825735,30.76243263407508,34.12210245751015,33.942565077739445,29.340550801030847,27.947710060005846,31.793755679332197,31.14345406635067,27.843567495662267,26.039112109760065,27.608670458555356,26.43455334953561,30.485506675232628,27.47377846568604,27.9620080171343,28.274703736871363,25.7736858952899,23.417508165070682,22.03758392288309,20.31723486976859,23.47661193298132,22.080255588417437,22.734177573649646,21.92105451083142,26.993027081059026,30.194321784860996,33.56785305172098,34.55083973065038,30.705111905987888,33.87330171923509,36.926000132761736,33.13345867579889,32.049163415882546,36.008248521366475,39.78461086866497,41.50755286640552,42.604142833766005,44.40568221515851],[39.779462518770586,36.68345942174524,33.44904069784794,30.101423406014263,28.162506596412136,33.53139950421301,32.604214099444384,36.46591421509193,37.16680202803799,35.09101012380723,38.35401812104958,41.40341462864428,36.76055975383687,35.81690779050226,39.74592379043868,39.450297991847684,34.84138043014874,36.6454836341148,34.594288746760384,35.65988243337711,36.3436137056064,37.55296274954882,36.74073936165084,33.55992329246992,32.182735054278666,31.232584648292356,30.613416713593537,30.858202570675054,34.93992320625925,37.687372437492186,42.60363158336491,43.05236280835224,47.47947322207916,48.523781601458346,44.63481835308946,40.82953834327073,40.34265762905294,35.98245546109918,33.057746532996404,35.11586677920597,30.971573792105414,34.25440843941083,37.02050859751612,33.742314813577615,33.65953123463097,30.67030127808088,33.90161511101638,35.3148597288087,30.574377649549014,32.64429885059315,36.711214858364656,37.45225939224088,40.47190909113562,36.74352975995646,42.789114588545026,44.161897800681466,40.56440237183491,42.951697336983905,46.913342058099744,44.52861210471514,42.32153765507581,46.40520576996786,47.13011939402561,46.95852742435848,42.83640409260741,41.54521557298957,40.24472585320843,40.46108631670852,38.38414747481547,39.91369620585825,38.46342845053099,41.2031916507852,43.231627443809415,43.21012347979033,44.15286096393712,49.0938600544504,45.830012944787164,50.056791509639545,47.34655359220897,45.72758699020537,44.96067912309632,41.66104154575645,42.329443169321735,39.92741417909533,36.053930736279966,37.90462210806796,39.12331722276387,43.29634473464289,42.3918174846087,48.24316802960971,46.741628431667785,50.405454272609504,49.099873174553196,49.04043887459625,45.38015551545805,47.77790917561863,44.35575718570119,45.96770892989585,44.607259811941965,47.83754766074232,45.082518998306355,44.29534959893163,42.233011961330895,40.36497148737868,38.82106559594193,35.32355193235615,37.30492548844218,34.161698219318204,33.00205671686429,35.44307226193532,33.18941255743131,31.214984593035368,31.94082152725626,28.491506271293783,30.220046531884766,26.780395640160886,28.557595117841927,25.101031199295807,29.583464009920682,32.420927106909275,30.809671594558434,30.866155715860923,26.450961488579214,27.03672822408098,28.70890791767093,25.551927414073205,29.331583051234546,27.518295808320037,28.37431092892569,30.427548433981578,26.890579625358907,30.175586851675455,27.46728587275068,31.386342892063883,25.71891964470143,25.742967586359704,21.76897710108121,21.050467536198834,20.042578607442668,21.79277167238995,18.951940331201975,20.586740186708134,24.636987117082448,24.742623906953003,27.203867453628558,30.6531800040321,28.805351246648762,31.97992974467823,32.91422364790011,34.73913188516591,37.23562178465848,40.50047371208102,44.37669390469537,47.66970643892463,47.120061577113084,44.96988670315907,41.39663996480865,40.19118795557787,38.51248095875692,35.41258485739427,30.472269609255704,32.452368687854566,26.523189725453204,29.891700841766117,25.35185009490419,20.10118527302818,21.398079379125562,18.034156428523108,17.849441583327717,17.39379978790487,20.71256562826143,22.11822735922273,26.581299446846863,30.20665216097304,33.65217511241091,37.088628881213175,38.11330596544114,41.95684996848233,38.09120641438506,38.35462395443409,32.938537052018994,32.94495022822846,32.31716347498471,31.322144868143006,28.589746737361356,30.67338402947537,30.377771663502266,31.45618057150932,27.64361877685428,27.650912306073277,26.188952305301086,27.27669633607817,25.355047186812687,24.926408153649863,26.158568257265774,26.29125226723079,24.56268330268282,28.33579750116051,28.94241339867857,31.450807609671934,34.72880854412216,36.995735361924844,33.8840445151379,33.30844598941159,37.78629730095816,37.42584354590297,32.991329089160125,36.75245747424037,41.66135403912175,38.37845702069594,38.155383725859565,42.003874578326744,42.57027602419831,39.644142928445454,41.50151857866853,38.42577893411617,43.7852444008409,37.82256652418553,38.583978048028534,42.70368538697407,43.79653423419741,48.442267532730156,47.24650753945546,48.10537650967982,45.36026075964087,46.72142188954705,44.399821724572945,45.17000804987575,44.209250162702695,39.29410712741372,39.93701598640979,40.2403190875942,36.86484354756282,34.7193986682883,34.883504486972676,33.38814099677367,31.26539462540273,28.670377228708308,31.096053052956076,33.61898921628122,37.313169373923486,40.264651549683386,42.9366752408536,47.48733180208441,45.45510764554953,41.247128046971966,45.305098418797925,47.35667204521807,43.25116245133739,42.86764638631553,47.30622767749747,47.19977097968162,43.99498550514605,47.51098089093877,50.080219655802,47.72414029661504,46.8896805663386,49.688150535510445,46.65060095466757,47.47768368482294,44.92913090839215,46.14721193161376,46.23986262471823,41.24042912292356,41.192152177525664,42.00880364689911,40.13343654331047,36.16755339284204,39.177287505046564,38.70632427722327,34.32646837741467,32.95445684311624,36.3152592275701,35.43034446931304,32.31007173394704,30.710477146133737,31.532897183045037,30.345565666097055,34.73147442475655,32.00366345607402,33.043842199461075,33.464938117093126,30.484046436995943,28.380091690555517,26.739414970739595,25.482111049341256,28.957759515066183,27.92053657319389,28.725682419063688,27.913656253401292,32.897850232330875,36.19103830740544,39.561140328533135,40.44827715777748,36.52958057895223,39.66197238123812,42.68422836921482,38.75919458316652,37.535071102573305,41.553177746984154,45.28962192757045,47.0198629472833,48.130018787799834,49.90389104779225],[36.23258770908269,32.96816722300165,29.6264293366018,27.284693306596722,25.428052633334406,31.49234447614921,31.42613879798817,35.33402635964118,36.828128520125325,35.704392801827524,39.30574025659383,41.903148045866594,37.813073811533755,37.44744825599912,41.692155720497794,41.244193183335845,37.072704987473514,39.632818257075094,38.56621025932799,39.31296661083125,40.7283320846668,41.93265444922057,41.72846960620836,38.8478237275569,36.8082869215394,35.69560633143575,34.23492326418446,33.904296284188185,37.506036073391776,39.47926412859407,45.067309886752525,44.55561505248419,49.1215358105346,50.76357645391262,46.728626060063036,43.36684339842573,42.04869334238073,38.5426115769956,35.60013107911248,37.44073500013047,34.23653022704826,37.94245545803445,40.69007897681297,37.73149327981826,38.38354725416968,35.62260770519032,38.84792349570952,39.55284917478184,34.51886255943616,36.25991489725098,39.99136819694662,40.18511487466288,43.25740449691032,39.50920559224583,45.23147640138637,47.311992485784295,44.187489005406114,46.144775786712984,50.2618794598857,48.52955015965563,46.45351534377181,50.56236346573441,50.9681797709643,51.51963849709665,47.38105921460429,45.50577534358957,44.616446753267496,44.20657128368411,42.501630395543245,43.43015946574744,42.35785599355908,45.425007872550914,47.117808944131944,47.563345893106536,47.80045125346996,52.95698564861708,49.45966782070346,53.34537205186757,50.426462351269016,48.815215748297916,47.265926902081105,43.75875340361976,43.557079643896984,40.99304632488153,37.49378016789103,39.5697256689041,41.6711661078381,45.288083453573094,45.294423475238055,50.86023148694367,49.72626382376582,53.69835942834179,52.039263516334046,51.42591139101618,47.4946050536985,49.889451488953895,46.23470617593272,47.295152124498436,45.355461496302965,47.762400105060685,45.54785330559206,43.71125417647916,42.33738128331192,39.43530287443018,37.75229642026045,33.7166784763066,34.88670417702688,31.241799091129757,29.737948310659018,32.863991018728925,30.732110412117226,29.910347928770584,31.14733868130763,28.51682365579972,31.348132926014767,28.523838108414534,31.144180528308286,28.47021439217546,33.80110910038804,35.75320637107088,34.07116582818631,33.33903147329298,28.8179557517004,28.38949050023993,28.992029112108813,25.301940648005278,27.49939676633792,25.848664082837725,25.9664636849456,28.29115353212756,23.683929525797193,26.709755172094436,24.805524138005744,29.314436377916216,23.972566281932558,24.74225818240873,19.722007470902945,20.701475677190885,20.881776136698196,23.29620883864337,22.300904716856195,24.805423171910462,28.365328302852546,27.491810387488915,29.913186422556283,32.823721997751136,30.55991111205609,32.94968884313007,32.98675282749483,34.47801933978552,36.06686656824194,39.55549215467717,42.96698519366393,46.2309275634196,46.438391520498854,44.382037083289575,41.27002511500967,39.501632657257524,38.74487545574375,34.84871137760481,30.655269906477592,33.70880504541883,28.14969246365117,31.585511917802634,26.879205548379392,21.967793655258973,21.96700647943315,19.029852948539272,17.213848365290517,17.437744451806868,20.242270248326772,22.467655729021445,27.042813380273916,30.61070137364171,34.21146801573003,37.12016988905733,38.75891605792124,42.20957404350071,38.757866579871276,38.356206165200994,33.27912192899945,32.20868101217218,31.338450946809054,30.46198264489311,28.248450934963564,31.68164781699333,32.33333299652966,33.5362945538801,30.192910467538113,29.1308186766252,27.09594608211967,27.34688984210285,24.37173337875185,23.068953701563323,23.34915972591695,22.351083038145042,20.501770407926994,23.703691850499855,23.754489095721667,26.995968480070115,29.401122645900085,32.2612970591879,29.50259236019204,27.96086075967562,32.31602020338888,32.61646299123989,27.928618322578384,31.085541503211488,36.34729241463997,33.58253855454529,32.88818957695833,36.54023061708109,37.79361168810347,34.9569161444945,36.117165738161546,32.795275191731825,37.77613141965308,31.245412853638015,32.16764342082715,36.19412590357805,36.8551301754214,41.35901320720295,40.081192650378355,41.29810220997109,38.72835276365412,40.30334240145408,38.487208689430595,39.02342787862187,37.58972988494892,33.0044526921419,34.001309861725915,33.80859294881238,30.18635882010839,28.542623237511087,28.982674466197366,26.655703753266714,24.46684322243372,22.9169423260782,25.209285586288427,28.711458070505433,32.09282190068897,34.866115846156085,38.03136233356679,42.42834795879408,41.067722963897594,36.596196791250684,40.19400075730888,42.8000361967944,38.9901171233569,37.960987872366296,42.471445994625206,42.71412181335806,39.25039970831692,42.228069948001384,45.06590511200267,43.024210434105356,41.55123755751124,44.031288971867816,40.78412394408117,41.53459913674529,39.220216101722,39.998144227164545,39.849841539096545,35.200417706353306,34.98661085906266,35.30094524036078,33.511365589137554,29.74142245144852,32.251165976114294,31.486982260922165,27.436037074707208,26.038162564288445,28.935408854789433,27.91287110702141,25.008649908312297,23.90421442516356,24.206221808411495,23.55744412513543,28.01404380442569,26.043184348629953,27.23751009402789,28.566545137810046,25.46976972103718,23.02405125763583,20.664614985224336,19.56693789828046,23.066408097997538,23.33278731662044,24.311139739900902,24.638051254262958,29.03588263886067,32.72680965604794,35.69324285063567,37.491747690676206,33.39652298437702,35.80600158258104,39.32987528334558,36.2181628671642,34.30736341223896,37.715204821831385,41.660490701047095,43.45079028881907,44.581889017831976,46.30867231378924],[35.22101801758319,32.177204767021315,29.320431612654755,26.29688042054524,25.200401427175915,30.853264614485468,30.807861177940623,34.97403406048304,35.916097866293846,34.6700015900014,38.17904700198146,41.11653848892561,37.15182212287236,36.223951125715466,40.670810218334594,40.579665004979326,36.32799112932678,38.889442933458014,37.655730685928255,38.92567166490385,40.23788758948512,41.85596602138017,41.3935184182465,38.50009167001134,36.65225392799584,35.15326522877609,34.01676093676089,33.45552471904202,37.15968876321439,39.30331629783494,44.459341904063855,44.39577638679803,48.89204045441025,50.58725492558746,46.74177218005419,43.258858501457446,42.316957180682245,38.795055535669555,36.06225297266375,38.54640363928132,34.921900514771146,38.15590156612043,41.22523624948634,38.35170831390148,38.81244180120823,36.14158803441256,39.54092624629039,40.42327739398096,35.55215188046715,37.74097919473071,41.461054038792845,41.84581330982317,44.78565202560323,40.75078848184747,46.554714170077965,48.550243614619475,45.08397967786984,46.90377591173632,51.13173636647634,49.3195060190058,46.836139521266574,50.7116422566829,50.979736082901034,51.26286917378053,47.27050336839871,45.43977033502977,43.956174852032646,43.53273228370253,41.339230818012155,42.17806394198203,40.82774516613289,43.65882124408104,45.72608966907877,46.37618362974191,46.95469089382575,52.32232269092989,49.18147389968104,53.208270612015966,50.57378420642969,49.259106788979174,47.96305806734275,44.77668305043253,44.63644328613978,42.463109311243045,38.793102543497376,40.417941267514415,42.19934144864831,45.822853057651855,45.371969285227806,50.89428270510261,49.36866262070431,53.10728954763929,51.338459577603416,50.798185336867924,46.75975797053385,48.90902109380772,45.14292547980336,46.75067557087722,44.90534457536527,47.57321697472498,45.64177153186727,44.200180000052924,42.98158191490998,40.38670569675388,39.26168633221454,35.06379753649031,36.68459056378501,33.287470840163024,31.396359893168075,34.19733156923915,31.536099769377433,30.526410342534817,31.100846598940134,28.361088305427675,30.676750938417214,27.692390183703473,30.29949762036336,27.405808288178804,32.59566187686926,34.66138559063556,32.634355782524715,31.95325121171731,27.2783952972119,27.138001260366703,27.959282014638667,24.909264200292803,27.529815768271263,26.42098942398902,27.110915730903628,29.962478450363825,25.683988642142634,29.19288611171336,27.413196177211315,31.63096181503971,25.999067147159302,26.042807766330437,20.99124318422747,21.16150155280158,20.557443118565295,23.276635260398876,21.62995260807187,24.464740703476217,27.93770889433491,27.27495504930983,30.07104742925905,32.8217084860968,30.442407235589915,32.91583540913583,33.238520575969545,34.37574766122696,36.330716602339294,39.38979889536131,43.188013311889655,46.02615969801432,46.1442482626744,44.402731474277466,41.18965028850151,39.85327489442784,38.94850842586503,35.578964544802574,31.386909809253474,34.23636017202651,28.66176866024292,32.501538654041596,28.204940744762585,23.050620418940706,23.909654231842293,21.17615806008342,19.605156448314563,18.98029464564661,21.994356428968043,23.55792325185779,28.435349340567956,31.95213663008847,35.365560339115675,38.30333513414942,39.447280113515305,43.35601328774242,40.044182685725566,39.93809240307077,34.98213949004038,33.8374279182774,33.61020683023652,33.03481332076653,30.510215698021355,33.636950871344595,33.76508728971947,35.381416864967996,31.941672631418463,31.407055311572055,29.69313665123456,29.994871168807794,27.36072695965632,26.060653407827356,26.49976817793963,25.701545563899472,23.299442009864894,26.530802246249646,26.15888152743853,29.00288303063298,31.598916984447683,34.08135234621853,30.96692141333425,29.53426853485158,33.954883739092466,33.71176487474919,28.677538177602422,32.186292400971794,37.417049614394394,33.98839742839774,33.260935620305155,37.05295390658034,37.979801918460986,34.7370914402443,36.10254118347391,32.94745264247187,38.30149170944063,31.98971656988033,33.23960056363916,37.38017862791646,38.59011226402011,43.01477827791288,42.15817361496623,43.5351906428636,41.182260510611925,43.00390004327362,41.15738080128307,42.08662538624513,40.54213786075712,35.681230541261804,36.99847605738156,37.12028324384355,33.24527468233239,31.57116016725276,32.41276617283056,30.100942866045315,27.51002010428355,26.185353073742302,27.827782791511275,31.459152617380738,34.968461743470705,37.388097207572066,40.54588027137191,44.826987003419184,43.28318729550781,38.76099122024386,42.190611378035285,44.602924996643345,40.53552285205307,39.476418772003406,43.82150223714104,43.7728200700789,40.20074847681979,43.447199269478006,46.03667152971604,43.574285518247535,42.3390397741986,45.077684595151915,41.99721538721642,43.13863678111731,41.025768200776774,42.13697496502882,41.63856893138976,36.75510535871833,37.10628978003199,37.386423257096766,35.251792124686986,31.753278712883688,34.74189943224955,33.55631011705739,29.219017240310592,28.46429090780374,31.531717681987004,30.020062197037205,26.828545257314822,25.06753785254911,25.443945617343555,24.01379624980808,28.540312968559675,26.07862972692031,27.691382031454086,28.486830462429925,24.999834149923633,23.061222714665437,21.083336864904535,20.479927245081306,24.42979738184098,24.263304100265124,25.83493715419888,25.46773567735401,29.683055434901046,33.57450308697376,36.6068399658083,37.98856634430861,33.67074041239818,36.12716008030574,39.46799655390554,36.03026357048463,33.94085797512825,37.59258079388531,41.420246454186554,43.215848797568555,44.40006199966344,46.13656307208046],[38.890493062038125,35.95426579064683,33.26545072612834,29.982851429803375,29.036933631441944,34.491712585222935,34.25601717106136,38.436421707907606,39.08996398697475,37.52854371326018,40.90536625371767,44.042786094291806,39.889285667570896,38.685736495827356,43.0293510443439,43.02288802676126,38.57914266212775,40.78851206639026,39.04223677264196,40.45050369518894,41.34468834296382,42.877838271425176,42.06704638274166,38.95787470414755,37.53392752039741,36.221191201994664,35.5319628985426,35.30908713709776,39.244288331258076,41.73336353672012,46.60744593108171,46.954286966719174,51.39675785398521,52.81987070112184,49.02052067040467,45.33651166892759,44.7353123786861,40.79556417237268,38.0163009676544,40.39895900663299,36.392151889800644,39.533972051840934,42.5044222170449,39.382051239394045,39.39541908742542,36.48593737559391,39.76618822761262,41.132480935237744,36.37455491605437,38.485448252987354,42.48783822565976,43.130742652211005,46.13187574942661,42.279409202145246,48.248832684471466,49.83550718642505,46.23364076457903,48.39972401757593,52.48250846651606,50.25598313903455,47.870457196212705,51.81112819080186,52.321724039843254,52.203402380263846,48.18826073498368,46.72533576459155,45.089971460201596,45.03263925961909,42.6391856761968,43.79390134956294,42.21834901745457,44.83273137850995,47.133995815928856,47.53727439743063,48.513882345543315,53.75143370839191,50.70404004286596,54.90009546429345,52.32727879814276,50.93060628213031,49.991171005632104,46.80181542596926,47.08441739118984,44.83915021336115,41.041420730248184,42.717752562292986,44.141918280188,48.055014466156265,47.23404068727111,52.91537342607097,51.2499582970608,54.845103942720634,53.25966333497105,52.98268745442732,49.06410802006225,51.19898880067006,47.51944846433411,49.38875926938459,47.76741296475866,50.73141758130058,48.602043876867455,47.502321015116706,46.0143016611835,43.736822585484326,42.52747712905931,38.541142917957444,40.29995263021365,36.957841337988114,35.25312247527887,37.95887539838538,35.33182392878348,34.018823239701966,34.47640742388736,31.46720082946328,33.38170656512625,30.144256856437913,32.385912294803774,29.111442742648396,33.84549279628616,36.38327323410526,34.361454223737226,34.04798565672122,29.397297943414163,29.706139575224114,30.931495778719817,28.102562444936108,31.191558885661827,30.012183300573753,30.833380954783436,33.4993107720408,29.40058886962286,32.82420439192944,30.728117478265823,34.917151033755125,29.251259198440955,29.278522734761133,24.543398915233134,24.310768123399022,23.34546413812013,25.77725556686931,23.330893456589912,25.653629703787004,29.42314670477269,29.24319697629776,32.00050333805572,35.05109477053001,32.87083817189643,35.672098115654414,36.313702411004186,37.58720716629832,39.820254915396866,42.81436242847073,46.75447973574065,49.57908312657959,49.486173303143325,47.727946063231265,44.36284764622907,43.194907018271614,41.97987488030621,38.82743812444861,34.342900184327924,36.79378138617312,31.035419669239715,34.74366975071665,30.35291849629417,25.09010908406396,26.192464892908966,23.047649985636944,22.11536144955031,21.625241366146657,24.82185141502234,26.307376119371003,31.070296375131292,34.65014138615692,38.071854376812,41.23503013658558,42.24781735999289,46.21827543524657,42.67378046940872,42.75615910416499,37.579184414775106,36.9178048339289,36.510733468308885,35.705071968092575,33.11123068806781,35.75836405035852,35.656345077362246,36.95320340710703,33.226486199852175,32.980924855318236,31.32847475041968,32.090668493582555,29.713559652223147,28.812020639054207,29.522550812331193,28.945729353264838,26.88944936909853,30.263399809196606,30.139791373923458,33.00645425545618,35.670647210959636,38.17874418839452,35.06517397991568,33.703062837834175,38.12586589831655,37.87844645968882,32.83833699659548,36.355828919578265,41.59492882761931,38.09774215119165,37.346048526137956,41.14356052812189,42.03593473890381,38.686853788845546,40.03965800720894,36.91256443745097,42.295260792524815,35.88604318381028,37.28632185732798,41.416623724256795,42.550720634413935,46.892656757189094,46.02326221261627,47.50692754652992,45.15605776140496,46.935628282622254,45.127111104836885,45.88505132852672,44.34520268258416,39.633234686673696,40.83259441013878,40.75270494568002,36.98861361202557,35.37904639553516,35.98763694115092,33.58439794616447,31.234134831247502,29.8378817551939,31.79432323517101,35.29981499725471,38.80693322120886,41.38586454539028,44.50043537699463,48.84110229372984,47.25867687120345,42.78178039809042,46.30442372047934,48.69649452728699,44.62208776220145,43.63507359107233,47.987241795530366,47.91655500143646,44.35995178023148,47.62910176624701,50.203107564004476,47.691412234537694,46.48269534146942,49.23120403544563,46.15092190980499,47.29832385910768,45.18478723260671,46.233948151531095,45.741954749464,40.90934693977611,41.20102137414388,41.4105364382671,39.31340663411303,35.83657315937722,38.6416646623226,37.40315349696496,33.20804545232287,32.382204285960036,35.21595097668126,33.66958793472679,30.62239502141682,29.006219105342375,29.031272211496407,27.630547680541124,32.255832837400334,29.92858135930572,31.739987299849076,32.49365696219425,28.863244684974628,27.078732097428794,25.07841890109315,24.6095465311154,28.593566888397028,28.406728857507197,29.913298310374323,29.425530045829134,33.74957088438202,37.58263456371531,40.680318668451804,41.905672400091774,37.608109740754486,40.16965600134638,43.42668390898664,39.8220933362114,37.80703738597611,41.55584751042697,45.33400927083221,47.113369198365035,48.29231918264087,50.01480081882758],[40.88311036199876,38.138707435793044,35.91254876392929,32.69351502649885,32.43061435615606,37.79390645845537,37.93049764917428,42.24895755604494,42.78469456361787,41.4406511892808,44.80425834705654,48.031832973132225,44.12628170182339,42.695590228755776,47.19618715867753,47.37895469435424,42.98837731361271,45.26814249311783,43.49574049718186,45.11688894279904,45.9462832237305,47.58824468991734,46.6402672077537,43.49028384104775,42.22547712220298,40.830980659035696,40.2812088126891,39.962040851249775,43.88112227683415,46.34121155423655,51.071125135808956,51.50316002775515,55.91795494004006,57.442328353647866,53.71854143747067,50.04086802836402,49.49577295923074,45.63624930472826,42.916549247509735,45.37798415008231,41.317059100292056,44.37090418924859,47.378915316813746,44.22924567324483,44.1036564490532,41.12654918973116,44.350967382188294,45.90280549935873,41.184607308434735,43.24096547219559,47.32323967697715,48.02907496370684,51.05012630760051,47.23770447211148,53.220072278315186,54.75006586624705,51.113763486881396,53.3169432925424,57.38736072534467,55.070870303828954,52.6649721672904,56.560483392942864,57.06626751937987,56.81373582806681,52.85040896002984,51.45954419658864,49.608117585090795,49.55856093484295,46.9359668213125,48.00618377862386,46.28460122358039,48.71955849174136,51.25342987494866,51.78562199638342,52.93631553803328,58.25569010208659,55.36905325543827,59.601499613187585,57.125352228255615,55.80574065582402,54.909459682354296,51.765896721549076,52.00097059168258,49.79253921443875,46.00863371688227,47.63759588392041,49.04238933223143,52.9181893491498,52.019334500282895,57.65720612969886,55.86261540110546,59.354605277332645,57.694640156989706,57.3978844040846,53.3976297032268,55.36883508556772,51.594483076905114,53.691403003639145,52.0073072748646,54.89596790467369,53.063845442724585,51.89355313919972,50.64070972903034,48.237854124278996,47.15907891647939,43.007522392110836,44.63936174664008,41.207175697903764,39.290898103031985,42.12065699341296,39.33853515737841,38.33649812897453,38.628250478820696,35.81572863738129,37.68870542111068,34.514900183975826,36.84288153630485,33.56167863455481,38.193699576588585,40.73810755994731,38.52521852316545,38.15277438117741,33.450792147905574,33.75787440501494,34.845556923744546,32.301940966696584,35.07645309939222,34.23880813664683,35.03855539967626,37.92671623061391,33.595407091995334,36.98448514259823,35.14008686258961,39.451378488460676,33.85352907480759,33.92563486307003,28.950193293097843,28.89501477384432,27.888931611205358,30.513217429372396,28.02769015412335,30.42175532164214,34.14645158655992,34.006581925208934,36.856354226689106,39.804744489554935,37.54811268659271,40.24228602292423,40.81896436630884,41.83226981569033,43.97206937176101,46.7745600815771,50.75530589161611,53.283820226744105,53.40491852678453,51.87912089735566,48.610335010766036,47.513705038211725,46.46947777970966,43.35973495463155,39.05524706933575,41.60615834918392,35.90697828794686,39.69102628123131,35.32606199810415,30.07277243604873,31.09933995360028,27.907943004644835,26.86970239191269,26.490596412363704,29.63231697725586,31.159199567051473,35.96769197779338,39.53304241191409,42.939793761523696,46.02019380549567,47.00168334982592,51.022149447385786,47.57255258317666,47.605980224713655,42.4884907195741,41.65723988047171,41.2568957280768,40.44390642346842,37.94199912439215,40.70229781712765,40.64608262575977,41.87795413964332,38.12390808158205,37.822637477686825,36.079409549129615,36.87059103262563,34.336016141840354,33.345976402999206,33.85249108241919,32.94690626786362,30.911171871123493,34.0367476100724,33.583077107263215,36.66933247338151,38.90457547797335,41.581669186795324,38.53462564938728,36.687158753194545,41.002211295815506,40.87817869385989,35.51945759312174,38.782288833289066,44.19304833772402,40.61280447883603,39.48270655449261,43.18179202269992,44.31413870016339,40.687600070990925,41.62127956632604,38.49977035145815,43.80441059637621,37.08290513543354,38.98567048408469,43.050998059158125,44.121601904873074,48.145648195883496,47.496985836321805,49.470386360446966,47.41131891287048,49.42974454419353,48.02069270369463,48.65354367327711,46.72992500291735,42.30995874520012,43.8021969665384,43.34182839947222,39.43073534214143,38.250773200987744,39.01800302276524,35.995457328706266,33.66979142987684,33.06542599745116,34.853748908327425,38.88745394281831,42.216894830401245,44.61284575779356,47.97793864789114,52.1765143662036,50.9073252599585,46.30972737150281,49.491575546100734,52.10427722816547,48.10493826403886,46.74921543659337,51.01786174369011,50.98776858199537,47.23412703352535,50.285811845935484,52.85581381061571,50.267855677357296,48.79273180859708,51.46190551377958,48.36476168799523,49.702302352272284,47.90277372018076,48.76645127248192,47.88909822390337,43.27508697358572,43.73388319552397,43.47406198281129,41.28793298894768,38.206993874723516,40.70038025412296,38.923648155355956,35.030699244214254,34.53944078992358,36.81115208313056,34.81921227221393,31.98399246799217,30.512645286201288,29.754176421311154,28.298138374779217,33.03519239799623,31.182044786714762,33.58882735774801,34.60153506897975,30.544443493902936,29.065622253773494,26.817257991387507,26.955255540022783,31.169699578044685,31.59242361576167,33.458780950205316,33.18974048721989,37.075403162852204,41.16187048382548,44.06659001154752,45.4738897393167,41.00123461360597,43.18585113910596,46.539403719265195,43.15092300479097,40.67122835995106,44.21358576202724,47.9520784949257,49.7271467323982,50.92087425611714,52.58576251496531],[45.04486186011463,42.2040793276423,39.81272422740127,36.94144491937024,36.364289030694025,41.980127381362685,42.10548820366476,46.32099926458435,47.108029070902376,45.74218054927823,49.13963720037525,52.25483844629318,48.18684989268028,46.980326439528824,51.350297214340145,51.3449467811,46.89798646950127,49.01923696450142,47.0767973867515,48.41886733322298,49.07163524255315,50.35189957913195,49.35829382500102,46.05689699674673,44.95068501434089,43.961705674711276,43.443893913614865,43.467145608290735,47.45231140554188,49.97486146666276,54.87957021033664,55.205405901800205,59.655089116105785,61.01608120009119,57.17124177654922,53.465382986529605,52.82904244175503,48.753403824310524,45.845453852032406,47.764390199841785,43.82063825488858,47.14561141219284,49.83522131660938,46.47088488793488,46.17816322207149,42.97902323190209,45.946072708440646,47.706585346067264,42.99496053481674,44.57008858542632,48.8644011339529,49.5597453152721,52.71844212043367,49.310050242374885,55.31306602833986,56.612816414963056,53.19138056473517,55.742832591409304,59.61098697061573,57.08475155452121,55.077533661104866,59.20269826643177,59.97753510370986,59.65396871725022,55.56656588419062,54.38699745579671,52.877408970973,53.057696698771394,50.64999362879096,51.95860644620918,50.29090941335333,52.768424055467534,55.19872670745272,55.446612069434345,56.59855532213295,61.69939862326306,58.610253591112716,62.84729442406699,60.19245634603241,58.592652146783436,57.716946595507245,54.317385333642584,54.75276776042686,52.196052232546016,48.48142355011957,50.479814607584814,51.92786997254426,55.96769656132447,55.19680346588956,60.96240582851702,59.36972124721203,62.94967399422246,61.46516006655149,61.255049694741814,57.37303398995438,59.49833408311958,55.822494983337975,57.69274939077538,56.02805163413419,58.86456066466909,56.774212572763815,55.45288787340363,53.98961385907819,51.478100000862746,49.962502760733976,45.99167032433814,47.321549283184346,43.7066586383061,42.107680350619844,45.16820045811059,42.7446891084059,41.80374165432125,42.47476248707193,39.631640666746904,41.697011605777746,38.491505476676224,40.691208853123065,37.3511901614399,41.87789198641786,44.60287965508701,42.593280034719115,42.35486517068511,37.71206327556341,38.019203390565096,39.12018979361259,36.24619776845814,38.923301345969044,37.72950432547339,38.19832992346496,40.68003267399742,36.14906427559584,39.11886546071229,37.0987859260635,41.618483385963515,36.25243976390454,36.83659171686838,31.984348615298394,32.29690996838047,31.608483615987055,33.953597552762744,31.49859532719028,33.456257559420884,37.413556699886776,37.37518986152531,39.97057994434706,43.196007273376395,41.09155635940161,43.89242530868609,44.40892101247901,45.695931568813414,47.693401778871774,50.75937497808506,54.55182916260898,57.33088680318123,57.482172028623665,55.75242382518011,52.48576937094522,51.15741609188742,50.104845891827416,46.70660444961258,42.27104246589846,44.79919493397578,38.99571738228541,42.44416664042703,37.76554354892346,32.616838933327415,33.183597906104524,29.656133034809606,28.79336026769657,29.009062104528194,32.098994250963166,34.02826881625119,38.59333493767901,42.208608255955646,45.75456435925152,48.925287080957,50.21254795131528,53.93409782508632,50.24806904293317,50.14709233816048,44.829139679245,44.287701189721524,43.295718746807765,42.11442429055084,39.850128645806244,42.56682341435584,42.795793860272646,43.48379156700275,39.52941614428951,39.019707083101636,37.062469887536885,38.06974794320061,35.48742157610803,34.750731328004726,35.2379204119111,34.224538003623465,32.820103404397514,35.8784401452668,35.76115972618192,39.202020243229015,41.17804153930692,44.2023202125168,41.44931975267704,39.406594076368336,43.624791205870594,43.95576407866564,38.75464054966695,41.674619502022495,47.16736579119739,44.04016219451712,42.80642447525247,46.37132418263602,47.824069702536505,44.369055597120976,45.010419793382496,41.76697405451424,46.760123387613945,39.708389904814744,41.5938091394749,45.52505441538129,46.059007417839126,49.986190286363524,49.020204311672444,51.087485552928264,48.98780697547917,50.85663019854478,49.66572636869071,49.80403209391999,47.84241188262172,43.90345193031802,45.160131161598166,44.160472703889376,40.5181872322201,39.59167227690189,39.94595701273008,36.640609074838665,34.84133372135439,34.3583795222919,36.721836573081,40.732746575268735,43.85798524529408,46.544213195143335,49.95837456120513,54.22128947048145,53.19665051654558,48.641318576358174,51.888747837314845,54.722813949244966,50.947716376767005,49.533039150760864,53.91061177232745,54.11684882916052,50.38818071514525,53.16380387730993,55.92851684880015,53.63041578718238,51.88191622823797,54.314991601580786,51.07978408676998,52.15968550438883,50.3106572537384,50.788301461507984,50.070286581644304,45.77291895276655,45.79781805987155,45.34914051809214,43.44842361062746,40.32277605410428,42.18173819910319,40.52589196016482,37.09444810262852,36.18517814816372,37.91926591049696,36.1547621963161,33.75443788587299,32.943781807628575,31.652009886783762,30.850250331778497,35.60393454109091,34.364950949984234,36.73974582446691,38.20712865769051,34.229938489723985,32.5257647018117,29.91683777373115,29.965844069901568,33.926986904123055,34.82190714609276,36.34004997998114,36.5467045422277,40.50623758446271,44.5505738421811,47.38928765044292,49.08088771924056,44.70954874011342,46.8138417062838,50.34207432137764,47.14153514524227,44.67935524372014,48.028013365581145,51.88989180703337,53.72944640382101,54.9334358024764,56.55134131146725],[44.60155791504945,42.005176363705296,40.12250367892259,37.12738742855671,37.277359381431054,42.63704787511682,43.07169268066663,47.44232640880548,47.99055374230075,46.83276354744504,50.196825000300805,53.438453473727584,49.688206030357975,48.17674071926978,52.75510072198387,53.014712182363496,48.658182046201524,50.95339617742699,49.126039558836716,50.80567086873839,51.54171174619315,53.14816844383615,52.091435626794855,48.858985445766926,47.755804500888814,46.433148726622164,45.97808782392408,45.69298564823502,49.61309165600015,52.055781501375314,56.750580690364586,57.19060326045835,61.59911524288112,63.163144537263875,59.45168965005378,55.77679818789841,55.22547359722288,51.36837605061508,48.62581370642303,50.96083968250734,46.91650823579542,50.00870142712045,52.937342776496116,49.70571682896899,49.442481900579004,46.35068775443869,49.456714156563166,51.190930848529,46.49210920707731,48.355920507956824,52.56577210905921,53.28069910176625,56.362964072177995,52.72048985231152,58.713002915067555,60.13629236250535,56.557665072477306,58.90186443252466,62.898770194269716,60.452981558556196,58.16794906473578,62.10724684959098,62.69195300631635,62.32960428047535,58.36200750655545,57.081298197458736,55.18770402639988,55.21018786826969,52.49429303240583,53.56663622173835,51.76152270877655,54.07401972813444,56.74563444009695,57.28912197145949,58.56259517391454,63.8808200485697,61.0430262468672,65.29895850045375,62.831293894687875,61.47378991390585,60.597533189085986,57.39583547453459,57.64769149382728,55.34317258235914,51.59470101093913,53.31839130623358,54.7451885699529,58.64019373859059,57.7444272694081,63.38950764084732,61.57021473204627,65.01925421127224,63.35090546789159,63.054785031967434,59.02412748673169,60.91816269678068,57.09973355033021,59.28348929862137,57.54416506063618,60.33414965298909,58.66178575403243,57.36057421411161,56.23658235427277,53.67648265160424,52.55119899723577,48.32212644289145,49.73166321314685,46.167951110229396,44.19664136354847,47.201518531731715,44.43563499292851,43.71356503668143,44.02048858633783,41.36497436179905,43.29471471859055,40.17350568702567,42.53417976721726,39.25015367587334,43.79372696028248,46.37825713866207,44.09326958178607,43.706293227834124,38.99806791274539,39.279958510049525,40.24415588966707,37.79120384164054,40.26823072017103,39.55951809976903,40.217281870721216,43.12545367557629,38.55159812488116,41.75619130417768,40.05833367596029,44.530570378305875,39.07243155929682,39.362644363853576,34.26285723126821,34.474037494220525,33.56676131533118,36.22799888411906,33.76283576924144,36.09295202700927,39.85911949005454,39.75739903855085,42.591256113161066,45.551635376271136,43.278141699882426,45.9156559302925,46.40467073404689,47.3073376558557,49.30295084339354,52.04681432125178,55.97942661069636,58.34564181078954,58.672337184205176,57.264937999245355,54.0857151969318,52.953109510166584,52.060870399977176,48.86894503327367,44.66825835475598,47.31051485208767,41.616386982119515,45.35377775526932,40.906690628577024,35.678238809525794,36.49073451490536,33.16747354670304,32.07560284124255,31.95628564764469,35.04552774784307,36.74935131009357,41.52353355008774,45.095237860291085,48.54333562837901,51.584632428970274,52.65888360038201,56.60905804583755,53.156974617652004,53.09753442186822,47.95715421453065,47.0747584773957,46.477025031362,45.53837769089348,43.19133341345256,46.04803025524168,46.13860881115418,47.1623439146346,43.275702509205196,42.87001660416281,40.973156662324975,41.81699874533264,39.16150905447447,38.18604582326371,38.523163447248464,37.32885995535679,35.53628787337385,38.41839842640802,37.82369366108761,41.185440072501414,42.966467418066294,45.88546798724867,43.01896317256315,40.72224814776477,44.87355096787062,45.018004642800705,39.51092349078392,42.39940801089984,47.931197541343366,44.48412839605372,43.01045862238947,46.53398177661965,47.98242772449152,44.22319654011087,44.67622802613109,41.55346410752977,46.604960677691714,39.5836024005873,41.883767589462856,45.79345974169003,46.598940262292466,50.27624765031131,49.70108471900833,52.11297690739069,50.32108093701307,52.4816159350172,51.504685698071874,51.85222345833279,49.60144478873654,45.63796883898509,47.284073337353114,46.31817664650298,42.41288795482247,41.69449437802605,42.44651168811169,38.8451578040404,36.75286340527205,36.844237949683844,38.670475533835415,43.087483994053656,46.17668336901601,48.504826040121664,52.077672406159046,56.156055142115186,55.24969268981168,50.58867068229731,53.48983901350694,56.35850953291479,52.51702325271564,50.83443106636518,55.0475585466861,55.13933079875809,51.249267119200844,53.99339022685903,56.61696346103689,54.08554851189297,52.29026863504321,54.78296735446482,51.644080044470215,53.04136978717915,51.5071626771604,52.06653923378083,50.920871092691286,46.65187779998264,47.091196297686814,46.36600680335807,44.23058370528779,41.504512398636585,43.47774471945137,41.30703759415818,37.893241472299486,37.539699188106134,39.11504582632972,36.8430458294859,34.4035680954196,33.32382656504079,31.72904259770966,30.5037785064494,35.23673177469027,34.048535672992664,36.89548689298675,38.273153481040815,33.96558415873608,32.68424715490174,30.15458349778253,30.73850844420368,34.96088184207567,36.02701748967994,38.026153048808204,38.09796073375126,41.63419907154939,45.91086078366805,48.61454863408708,50.27608452035764,45.71204902002377,47.537131837024184,51.03477893698887,47.908103678111665,45.062528313439586,48.321006979268695,52.050695744989056,53.872447890288214,55.096318964655886,56.679270366685266],[43.84045694205446,41.49586717150461,40.026656133901305,36.49959648944675,37.18981030813366,42.0419989705454,42.413288975904706,46.88598431770083,46.9240911471496,45.63472225565121,48.82510460156957,52.3158259310534,48.712833111683466,46.735083850415116,51.37223708290574,51.94069321308033,47.58888490719247,49.81478334428611,47.86168253000398,49.9724765723529,50.60399012310634,52.56123538809137,51.3007135895267,48.127951556674184,47.19923996323472,45.5564876553426,45.39111986691169,44.92169820477338,48.852073672346954,51.41402632959593,55.640178548801,56.49300579976071,60.77890459240639,62.35375870839219,58.85773139603597,55.11763728878573,54.91574971326702,51.08811944455289,48.56808203473535,51.4307382132882,47.08837962973288,49.72391259029554,52.90159463637617,49.80479523246397,49.4091490518719,46.4699287561326,49.706962384709186,51.53087720130692,47.02260418033309,49.28749271854189,53.41601849461939,54.27309702965746,57.20838434828367,53.30964499972779,59.31901150865498,60.6827169197325,56.820758272742786,58.99101978626874,63.06546154947261,60.59574829671316,57.93872207810981,61.612168686902294,62.051074122815365,61.45338648862397,57.676536477823134,56.4398810679289,54.03064875082615,54.04221695735053,50.92921975372693,51.91098134656495,49.88029683923697,51.914515467124374,54.89147791941326,55.61058658090801,57.184900662147534,62.617066068432074,60.149168141669755,64.48705189387637,62.30933722409406,61.24061503528886,60.60102081403667,57.71971176625619,58.02353725445905,56.08364532624085,52.21793966081544,53.53164665286499,54.65915356463492,58.51764794927178,57.21834904730225,62.76094337780902,60.6027830763169,63.791327479822215,62.05023010346397,61.838991369665166,57.778037386962914,59.42649670677886,55.579363347147826,58.23158906393497,56.62613546635869,59.646956739672085,58.20446501093874,57.303416656703185,56.28421836516536,54.05365435295182,53.39988887301297,49.09886588852511,50.91188948356762,47.591171990665586,45.36674499460941,48.049126737755955,44.91072006032839,43.976632470678105,43.7517903216697,41.032459589788786,42.46134180086746,39.28329836356141,41.52975725387695,38.15249366333431,42.40070315641935,45.033619684184046,42.515319257710125,42.213248892522216,37.54626171702072,38.099221599229026,39.25648655677384,37.40020434317997,40.21031562945974,39.88955700780641,40.98484510256951,44.223098964674016,39.98660873308743,43.56335604727243,41.90339372603686,46.11507846482726,40.43829604777023,40.173108000690746,35.17998233814035,34.785556572937736,33.33942964549933,36.100507763147185,33.21929362920533,35.6926519558809,39.25646388249543,39.33802031798509,42.39649066324176,45.16784926410724,42.8630580302596,45.531866249908134,46.27230927676179,46.89799901660883,49.20275252824267,51.55058245820512,55.77558358667631,57.76907260883704,57.95841164699283,56.822773797581924,53.575002554930585,52.841459206651884,51.79148430259723,49.102416713361954,44.93265333577554,47.34114089760093,41.73438167550132,45.72623493047835,41.672152918983215,36.362530557727744,37.79470923592795,34.689658189280024,33.75013610789101,33.04579070335378,36.22917659302037,37.421481682971944,42.337894921764125,45.82534368514573,49.081065628076374,52.12898432383423,52.76350035456281,57.0709339930399,53.76003107218604,53.96476716605569,48.96114920007627,48.043094530882506,47.983658857935254,47.30875092464049,44.6949472914345,47.29087530740287,46.94257879132105,48.345012609111805,44.45056844835525,44.46267279111451,42.86584634315247,43.70694858239858,41.317325847921516,40.32296045123473,40.81252584561711,39.84366700903017,37.603551826201326,40.593778193462256,39.772157390434295,42.7503994559221,44.807845377090835,47.35086492053753,44.1877090468034,42.135062903013676,46.34349184206328,45.98303044536212,40.33615450908024,43.55504581196892,48.954518754102374,44.971495485397945,43.58571431069674,47.211919861154726,48.27098040290321,44.253375826516596,44.99517493804293,42.0861548695274,47.43409325221123,40.80869497646664,43.23116607786753,47.224995827585765,48.5620357153173,52.242036121569534,52.009738986624335,54.399496064687874,52.71012904922273,55.0158117927885,53.87073872948246,54.62705958914792,52.406370701515655,48.07560584277761,49.90799462528056,49.368578081421035,45.2711638105876,44.35687535920922,45.4076042007396,42.04061192710016,39.572302657353674,39.536477071856474,40.91326028723323,45.27313438860244,48.53983160242852,50.62509035823007,54.11616406785019,58.136673561431216,56.96723620131235,52.30088925073681,55.14697682316707,57.7666823744943,53.69049143799277,52.091672097641734,56.15337240391093,55.96345503061172,52.05775402642457,55.0897120775132,57.46121687278268,54.57222242552906,53.090248922324676,55.83097565024778,52.877990037572275,54.57812350838565,53.14154436757045,54.06450239270504,52.72117721590672,48.190701321136935,49.08220503378576,48.48648844117783,46.07742364853075,43.47413839441455,45.97539599188421,43.625585745914194,39.87439282565559,39.951202366703875,41.896332813522825,39.36884990733927,36.6113561701414,34.932181381567375,33.68939111366187,31.809947559716537,36.45781647709354,34.73045052454658,37.72894634469266,38.54613914614244,34.10541366213087,33.24047779670005,31.159636820636756,31.948761971900314,36.383478358096724,36.93486900430899,39.270889240260026,38.75888908900118,42.18646953405419,46.49359971013933,49.270910716402156,50.48981302982404,45.838243720277674,47.77026545177145,51.01533275537926,47.5935600945394,44.7403762848366,48.21317813506432,51.77384620756159,53.55336504415966,54.79709185926041,56.37855810570203],[40.623629620354954,38.43075671139777,37.30998829130041,33.83149303218928,35.040656015072315,39.70434180301175,40.40376630092197,44.94045487682117,44.94584622795092,43.98993750312628,47.20363186814203,50.652542584798745,47.40715034950028,45.37626284879435,50.193713501694475,50.8970045340012,46.74471743669207,49.27627736536398,47.70754899953373,49.95255425440758,50.88389061253923,53.094321556031986,52.00656256859237,49.001980013032195,47.825721162825744,45.87043964611634,45.489996800216076,44.63172660618006,48.36748015533579,50.66742929603298,54.8868974745133,55.57618900012217,59.84114138432911,61.708735691321465,58.289977168559915,54.706068333969064,54.37067431255408,50.94517254059257,48.57106948460237,51.74879792215995,47.58014910055891,50.09875053782582,53.47814724109885,50.61651637464048,50.4957953215317,47.76950324972083,51.157515593282476,52.67329625319043,48.13605159423506,50.58931606479894,54.514329448297545,55.21685573407763,58.07072571211141,53.93177893950098,59.829873816258,61.503642885623115,57.63102820203027,59.46085569802817,63.697553100264976,61.54430924062461,58.6488819628918,62.16198835022977,62.32670722249153,61.95328288130605,58.27122113520816,56.746097906768526,54.18762789371906,53.870243254978995,50.68283168488372,51.31146131658358,49.33169658755044,51.38910502632476,54.372724491300666,55.44389713502265,56.84322494714408,62.481306759866506,60.12935416953872,64.36610285467593,62.27956285534034,61.42144885069187,60.57382939998634,57.83456725177231,57.7802022151476,56.05767754653571,52.26388969232036,53.356911690571295,54.66372169856856,58.24449622073221,57.08084066103241,62.42641352138363,60.20929978410613,63.38658582396437,61.41511440481362,60.98702830607645,56.77146305676185,58.25882377154211,54.28105479742751,56.98669767997638,55.2094586867911,58.01375440009394,56.987326729409325,55.92157788178276,55.291290871496166,52.877877304242475,52.54651203067131,48.00229573990613,49.790277107635525,46.516157208996994,43.963943161271125,46.61231915617185,43.252473971127515,42.63493533194968,42.19840716389887,39.78644644083175,41.29927470516167,38.34363194532791,40.87174747238181,37.75949854492262,42.25159524276776,44.509826328828254,41.808807292229666,41.198671803948855,36.508168397220096,36.805648517377676,37.644034860298085,36.02671696700776,38.43112200421917,38.50392990149857,39.658683024305944,43.24013229785351,38.95526984597984,42.675056524506914,41.402669183736265,45.54799156870964,39.896743169494464,39.44464317617291,34.23717709240089,33.95346068080225,32.53065878697121,35.60321457904425,33.11843038520368,36.06777691262025,39.33857883482432,39.1290525390846,42.34288901758047,44.76233032926506,42.257018838296226,44.6188761444881,45.16946566899081,45.441433231650976,47.58095981588637,49.70378019476559,53.92254981204941,55.609253165610404,56.03669106112404,55.14939899449243,52.067564876054384,51.39364489391534,50.62996288452184,48.00197803697077,44.187299104043205,46.85223526814706,41.46429245168953,45.67668342963348,41.850266168760115,36.59246817715099,38.05210206814054,35.29038814033121,33.95312255102937,32.99262898844553,36.04428219069014,37.10048857339657,42.14505113778371,45.53141702862941,48.68736107713031,51.50737648252809,52.06139840255096,56.4659146308093,53.451387095467204,53.58193064228341,48.8476479582114,47.47075274110454,47.7612436505178,47.36202250750325,44.74948530106489,47.656995809338866,47.345240768522984,49.103244128671214,45.4078244926609,45.321747090570746,43.735305665654586,44.239167975286676,41.70915173446807,40.398464583567765,40.666217399767284,39.49105813517017,36.8765635439226,39.63522295252741,38.38557199132585,41.24624895726283,43.10842196385434,45.52223425356415,42.314970175866044,40.08236751089636,44.18652878999703,43.68116837783352,37.88870879781304,41.04638940464941,46.40480315516943,42.24248239127374,40.714058291073385,44.28036924999362,45.321415890249675,41.16040036546741,41.78915595058833,38.985302597134606,44.348429611423384,37.867805521249444,40.49066391744575,44.44504828194164,46.03321415726239,49.584452279699306,49.629791637790795,52.16322916918379,50.69360458092979,53.204465836967145,52.17819312059392,53.176030538900285,50.78533073344481,46.379425987418685,48.515997812667734,48.12707629378228,43.82851249568898,43.020259084071476,44.43778793674663,40.96711644908062,38.20937869487197,38.595379306503226,39.43625914962685,44.07398037928555,47.28000337176489,49.016498272477946,52.59645462558923,56.429751918756324,55.35826462608743,50.64192159721071,53.17887128525166,55.80138177593347,51.71008178632171,49.90878099592795,53.813459413784095,53.54386108218736,49.547773767439104,52.53715411035681,54.78917005109356,51.76794550965602,50.265691746436545,53.039185429712916,50.18472828989085,52.101392559310796,50.89362417669839,51.91496366644104,50.283233135446864,45.76651676580288,46.98712702306591,46.2534815820226,43.67045904204404,41.364730204301644,44.03624859623658,41.37868247416083,37.587108855732204,38.10513909739835,40.05035080786455,37.216459995705726,34.364837860712505,32.41303892354461,31.149352644612158,28.93266128095732,33.46858071195404,31.689649909948045,34.92277134017104,35.65215290299874,31.074368434285567,30.50173765343614,28.549126244811788,29.69657437111136,34.22381736884865,34.895879702543695,37.575904577805524,37.02498988834145,40.019800557110216,44.46421857900172,47.08060430924826,48.31439114114405,43.57371945162374,45.2363116299027,48.46739171273545,45.20499304288791,42.05585447959376,45.38480181124724,48.87622094243332,50.66204761867619,51.94100777519553,53.50469839935348],[40.86313263078365,38.98018827172483,38.380834142226256,34.72425363996874,36.54937133143905,40.75651420164136,41.61240851683738,46.19029892934366,45.86918315020138,45.01790527306465,48.09334636193596,51.65373101985457,48.70480668351929,46.36271410320943,51.25371108518129,52.21273556716299,48.18005425782222,50.752327645243156,49.23311523933343,51.77707141876295,52.70964519923488,55.180415793600716,54.00457978125209,51.08787017511808,49.98988028888952,47.78680702337265,47.539183071627654,46.468350043297626,50.110996217001166,52.370617257152354,56.25962796024948,57.14336076289922,61.29593143835634,63.2708454810128,60.03274059017764,56.48512271562024,56.314893966867146,53.06120779602813,50.87249325877918,54.38944444718994,50.136677627129416,52.352172164758784,55.89462381998403,53.17386346911247,53.02566581718959,50.43279292098899,53.88712994733832,55.404088442259095,50.985909954739576,53.65037815690874,57.48593452587508,58.23577651246832,60.987355437996776,56.69401366212812,62.54240866166147,64.24394661562663,60.23703793298313,61.891871424018554,66.18716936011546,64.0889085691847,60.95143913654437,64.25414672007095,64.26608009707058,63.79512429990859,60.2727624523175,58.722802346179314,55.811280039570214,55.40196534638655,51.945131385362124,52.391048878496974,50.27981839388077,52.11222770044216,55.3098636709739,56.60660366481039,58.1608398718298,63.908686293647705,61.84450144479956,66.08132304550016,64.2121312368428,63.587470740362164,62.82258551722193,60.3129627795364,60.18103196608,58.72011733257334,54.90783327266397,55.71935325032112,56.90730734054726,60.361817964905285,59.01054898003102,64.20114235263881,61.76445975820348,64.74823690229226,62.66099283670889,62.21290329855524,57.943397455648046,59.18591351080634,55.159807153402596,58.18454147754029,56.42652923389719,59.2476477924129,58.56173594275946,57.65081608058251,57.254946839723345,54.94817586421557,54.98295180094317,50.33363347986176,52.265576125288966,49.13188989415212,46.34367834681592,48.82226515376144,45.21157838517322,44.660163457880245,43.85095344688374,41.578006537016854,42.815691388628686,39.95748405113193,42.48441749003791,39.44591910373831,43.75414554028626,45.90043340441765,43.007334008883255,42.347848119399785,37.74532853157389,38.10976901477525,38.90653666121135,37.78268754529502,40.12522455769876,40.58975537848711,41.95850510525435,45.797613065073385,41.6645660952833,45.542491603783596,44.452760593216944,48.44601547961359,42.77044670384983,42.022032482328726,36.83857114958351,36.33704234362738,34.673824083794685,37.85013455925626,35.298360037020984,38.40648555904154,41.44630964909535,41.26561771050725,44.61260202305962,46.791614577017896,44.22699294755245,46.46561232082796,47.07218276721322,47.0273972896742,49.23310949247046,50.99848678361489,55.34303677409668,56.62734124148836,57.113554059503365,56.52603403743526,53.51090131210485,53.094635518768676,52.38249558584983,50.07087288444206,46.4519561684137,49.06438107137489,43.84565930234724,48.216524473714806,44.68263323137449,39.45002039071686,41.16925603061484,38.59695528809043,37.228586377218896,35.97990388889462,38.99691853177113,39.78143935946433,44.88241432074039,48.171387501910075,51.17641764112749,53.89663881978185,54.192273268361575,58.78782185867814,55.967008567245735,56.19886037195076,51.64606301603438,50.106244143461296,50.74301647089393,50.53607304110356,47.83852769789366,50.70244246050612,50.20094948819149,52.20261828980894,48.54812385431709,48.63767294947533,47.1755890555049,47.5973789918616,45.14602640594631,43.74979464967398,43.99111988150202,42.809883001255486,39.94745844942622,42.60422526815811,41.082585890800615,43.737792129814515,45.54568462508147,47.747941055088056,44.44250533097919,42.19086286188715,46.19470200490229,45.428513668185396,39.539176069501465,42.71396586470957,47.94763351258768,43.48783898517298,41.87672930822932,45.37992125786443,46.25794766643344,41.89303999966388,42.497611958767465,39.91494737951019,45.306744333202126,39.130786704056334,41.980604705115816,45.868749503685265,47.764013771774174,51.1263295148473,51.49658127217273,54.17521616566954,52.932146419952424,55.61559287918865,54.66702447842151,55.884625180650815,53.377635875897305,48.911543215363075,51.27492232275001,51.02679303569853,46.599662455893125,45.85422168961772,47.52837418932534,44.021885896091625,41.07170784883593,41.69373717025646,42.138087067537406,46.886336330462484,50.07837329040712,51.53706887737824,55.13237615011034,58.80914360613349,57.732321874622336,53.01211340889398,55.31178460458868,57.84390777343069,53.6881219206704,51.78698591493433,55.496205784402136,55.06801888994763,51.02616522199732,54.052163081182066,56.10412444444181,52.858914906679125,51.45758827832854,54.31434251840666,51.6231883504819,53.79924610882293,52.819523450793604,53.98809348623628,52.07451178335436,47.559086761512084,49.13689802349669,48.30137847818005,45.5443616842116,43.54331728267743,46.3881644775726,43.44412121520854,39.64160299284555,40.576746299953406,42.500302099710716,39.38586177630126,36.49071306377949,34.26006261176451,32.96977485934695,30.377929995850195,34.699053148578066,32.82532492208933,36.300673960426906,36.75070775388858,32.06592844384272,31.932711072895067,30.26203399063681,31.747422984080238,36.32698735797276,36.91325025625851,39.88867361333271,39.09513079806834,41.740225138942925,46.25384653746162,48.77286150443415,49.81881298678837,45.01005664555696,46.50914789965973,49.58860259073655,46.31734857805339,42.98039267499279,46.25798444339353,49.57144988824455,51.324187636189336,52.62461574009715,54.13905789151977],[37.10849371201607,35.431671986201145,35.16873771700474,31.21847944426089,33.513982553427596,37.21884997892356,38.13734607559361,42.72081846054043,42.10794356884191,41.363550453971264,44.32704926343364,47.9396147812065,45.29016294896519,42.7367030395212,47.699215911831374,48.862286830096494,45.01212417864167,47.72740240106743,46.46560515429877,49.24207251957072,50.358457080392895,53.13817416508744,52.04918738149066,49.34369866367111,48.11074982303087,45.56019401340632,45.26408438887612,43.84317787146549,47.29342993393033,49.40140245876651,53.03306392349544,53.98459607323408,58.0273371595505,60.174023417622166,57.11197651470031,53.6786902319925,53.58223470799711,50.657313986436954,48.709515281212845,52.659365288779895,48.45761769426822,50.34228990236847,54.10323897731812,51.67004046996859,51.70331151535857,49.39843476501009,52.99768206176076,54.258615506747766,49.96088006472822,52.94322130769951,56.509549777484274,57.20490008091709,59.77876203615445,55.222363426289434,60.92446908765532,62.82142027506839,58.71691940402334,60.00304498798644,64.41928103724848,62.589187400991946,59.128545421220494,62.159901817101854,61.89492926066845,61.52418920239807,58.18389154489534,56.43126384560129,53.24290751832876,52.575985856714944,48.96374389462359,49.107775764025824,46.9844843845765,48.73284981775315,51.99143997482851,53.59886639096795,55.102435408785546,60.99739486780017,59.170312108828384,63.32518924536542,61.656557032160876,61.31867051953576,60.517773093939766,58.2902920748736,57.944619050046825,56.83943272247257,53.05962028979961,53.498336467127444,54.64826468638503,57.85248603111119,56.42671379985154,61.383064007826654,58.7878552691837,61.64039544674334,59.38073712578005,58.82403418955615,54.48144208301594,55.51682968646399,51.43702845761872,54.6607405703442,52.88684785350108,55.68698838378579,55.332798092616834,54.563781422167,54.42904851740556,52.247552766662174,52.73026914669073,47.9904332050826,50.14777836320916,47.25861404989983,44.217224199138954,46.40617476738926,42.524124976422314,41.98062154000828,40.765165876064124,38.660655715122424,39.65218971059102,36.96660196130491,39.57380484352438,36.75252417579531,41.03622074028957,42.877265681718264,39.81077065659814,38.9821592050233,34.47863711293276,34.79685984158241,35.49046783181166,34.8580866854244,37.14905897895106,38.026066734250854,39.67753041934883,43.80385254293051,39.98507504722798,44.10208511978711,43.235760809280436,46.92951905422939,41.243678287983705,40.0561708096872,34.983879237177646,34.17522492603475,32.27003117260318,35.59156228510254,33.19000495721887,36.634457197746215,39.27824962744898,38.969741774220964,42.45948935778492,44.25795829427147,41.59394758344212,43.61258971245791,44.23480320616089,43.850753569568184,46.122480440102464,47.53594747661005,51.99576358142239,52.9447382363507,53.4335024680449,53.103290622516255,50.16252779003243,50.00081875266981,49.35586516130555,47.39432879255999,44.05131589154158,46.64438234667706,41.71526736489651,46.280022823747935,43.1926689622868,38.07425353767104,40.11695639970386,37.97185057435169,36.47771847267818,34.75526492053953,37.650972717053236,38.02503956760567,43.16422206789864,46.27467416346486,49.05602178055522,51.60216467726781,51.60099937334537,56.392752379669204,53.864937587569365,54.20115483855088,49.959526982218094,48.1544880329539,49.31628277627891,49.44334983912229,46.625605023509834,49.48181235300632,48.771803625395606,51.20927612141756,47.757720756069546,48.01046721653071,46.75668232861906,46.93423640773059,44.615762720798095,43.05210353462353,43.280481412893224,42.202391036101204,38.91597460469024,41.49900892929037,39.706746403620876,41.94201495485051,43.901845926220695,45.709104222213625,42.21988187027791,40.20273774482686,44.158576502842806,42.95229536697986,37.076933904415434,40.475300642522484,45.47537583049807,40.638531057257936,39.16066045749905,42.70222483104961,43.21022486576824,38.73211844620925,39.63535592100113,37.280804458528976,42.864376572098735,37.23100606430867,40.02576774569589,43.935299714186264,46.32132710841652,49.7256165623456,50.36530372607125,52.88109839230124,51.71045753443714,54.480319523683434,53.355491358688994,54.99096757272683,52.57313484256004,47.77912996705186,50.29933716793109,50.525854919446154,45.97330716681736,45.03302041245416,47.0186664711874,43.840098853845674,40.54474193231798,41.071134331072926,40.98119641354484,45.619685558985644,48.8903608662995,50.04001131130238,53.51670532662159,57.06037327487187,55.78623667335536,51.119887491005905,53.29303965642032,55.5735180521068,51.2778301501893,49.453621103934324,52.97068953192758,52.30819978382296,48.308699388035485,51.54823763634025,53.35789210282361,49.85944081935139,48.76301889891878,51.811068892550985,49.32075561865098,51.7186425831685,50.81803420453223,52.330632104248565,50.29976988483025,45.58151833166919,47.552091328715655,46.910142029398735,43.9476692642488,42.06483152478303,45.41537127357763,42.44151157910664,38.3304348623722,39.64011726534646,41.97560842882219,38.76341191394111,35.575255591482595,32.79424199897922,32.07079463374565,28.93692417107228,33.01281079035453,30.561967319436093,33.982774202441185,33.89411967469605,29.26928217463129,29.49806727678364,28.340950721266843,29.93604015900358,34.52384853579478,34.65005494420152,37.88573702148149,36.65641620846813,39.03222033493882,43.50734320409967,46.001494537476766,46.71510180191518,41.901421475749395,43.40342638971364,46.24807537388803,42.853205734511434,39.51146050604369,42.88303650893272,46.029477004627,47.74324871979212,49.0581880450112,50.57933489403944],[38.95743186240539,37.431822371507835,37.48236960692952,34.00248682401523,36.60532546091146,40.387046409693504,41.69927461847283,46.27736694201142,45.85943327615854,45.46317344842669,48.482868311126666,51.966747708829004,49.5509434123066,47.1128572688553,52.1551946022344,53.31259365044641,49.57905580557935,52.45049137071814,51.35011215335062,54.0604652400807,55.272848839247445,58.0081188604448,56.985270890658285,54.262270163990195,52.96608082935941,50.453564478829875,50.02955972238267,48.55224813860916,51.928373561006936,53.87277614563731,57.64328387434293,58.37825080100199,62.443549356574934,64.74558612213261,61.65460397828484,58.31308417515193,58.03016396847136,55.25817738988461,53.265304846841474,57.09260033964712,53.041764371042326,55.08507962167483,58.80793148119237,56.34522757555749,56.438453419597906,54.060298683679676,57.626485398701824,58.87573053494782,54.46730313544007,57.2963048270049,60.91882313684657,61.534097977634765,64.18330612019592,59.68455448263562,65.37511900847001,67.36637876543165,63.36196301913607,64.66243574368508,69.09239215295133,67.30614613117149,63.93421714364248,67.02901020862963,66.75009487031545,66.47437789973414,63.100375325401544,61.28574393238942,58.18269066167937,57.4341696738289,53.874922104256875,53.90863748525032,51.839582515686686,53.60690385017528,56.83946957587284,58.538436437549855,59.943255021869994,65.87949726640711,64.01203972858278,68.1151065923698,66.39480270689731,66.02581709056209,65.06908885104002,62.74952388033574,62.237364232971295,61.03749747364621,57.33279150699891,57.88728444110644,59.23445757521301,62.35412929938583,61.12530084537819,66.04147971699261,63.517339608886786,66.4213987032139,64.08053171741864,63.39721190472373,58.985004015553095,59.97270606302467,55.83015015540199,58.95949202571913,57.02338027148435,59.55294404485969,59.43679593098166,58.357150905477226,58.45852059292385,55.96861045818884,56.402402354588766,51.518804022079884,53.380023609684855,50.33616727242004,47.1884978539876,49.59652290905863,45.7580248840223,45.63002957383246,44.54166163876283,42.70419427389079,43.96997684607701,41.43482989736197,44.21275368627603,41.51809433566436,45.949070560762664,47.661799183564746,44.58150026100188,43.59459236012025,39.08615058289888,39.17331403497083,39.56851886988743,38.84191456075712,40.60901377748942,41.59358253649711,43.006705493756954,47.18613692674363,43.05278123263689,47.004287678090556,46.38484801657802,50.26006761350739,44.716895955058966,43.78709408565852,38.473251641762836,38.11262141898339,36.500091379388984,39.932294958388624,37.8254179978119,41.33595417610793,44.0191896799071,43.56348709869859,47.02808222649267,48.784488769235715,46.040623208530164,47.8899401604763,48.27688499279294,47.77057740482223,49.74161382540309,51.14459465257948,55.43831230111459,56.23883003048348,57.04642576364463,56.83456978687045,54.07567848293714,53.772685235080644,53.42198411746606,51.247515834388985,48.1095602973907,50.96093373703071,46.065971293463804,50.61489184369534,47.380153250181735,42.27427545872183,43.99022810664764,41.7696328051722,40.04099283747674,38.58386268812439,41.405100455267466,42.037693197920184,47.188932296226184,50.31912945500219,53.170531394540184,55.59843542491939,55.78044506671098,60.44983011553625,58.00106447157648,58.15064382361942,53.945589839455394,51.91637574757885,52.921893330736374,53.00089180146407,50.34879797556201,53.50158420196529,53.04191743372633,55.37658630472648,51.921522896572476,51.91950537583836,50.4742999385143,50.57183826791499,47.993473556559955,46.29620810778752,46.280476107029216,44.85887972574036,41.67718659964831,43.985264014603274,41.96775391941545,44.46044062792851,45.92158981286376,47.95256210069905,44.67140640091756,42.16449229454467,45.9179408012408,45.001178305642405,39.009627720903296,41.96484270258436,47.05300392897692,42.420822758074415,40.56994863553652,43.87557028938288,44.75046849385115,40.203611180082405,40.53003915538153,38.19566809586298,43.44119690666022,37.58368636462001,40.76462473272713,44.47882614641714,46.65848980165145,49.676251899907626,50.48362617336782,53.43115644644955,52.560861422540064,55.509694000379966,54.81187710358245,56.269760107296605,53.512859250471486,49.107006524159274,51.850627644695145,51.69605642341513,47.092322338765754,46.578185882995456,48.667605941802556,44.98759464750345,41.79244435513308,43.018428174742944,42.82393986165254,47.881701539011736,50.91518551398082,51.906014080079714,55.60351066089696,58.97523743895966,58.09193856995145,53.35470023544716,55.171246312410176,57.71305668940881,53.609764428104725,51.41160697311498,54.83613930455365,54.313194042349515,50.17944844335592,53.05221658479623,54.90352824326904,51.501426874746144,50.04419461176971,52.88217375430953,50.373239683749446,52.85184980755848,52.26225888072838,53.495778262467375,51.14917600385051,46.795339668200235,48.80370117685891,47.699925752324354,44.758998496022734,43.28632303396533,46.19977073425485,42.80830514982933,39.14644274707551,40.681530026038615,42.41630370603813,38.89884578683203,36.046079438329755,33.582716943402275,32.1186705770623,29.16498274004256,33.128256347143214,31.39214577752123,35.21135940589213,35.560346464199995,30.76834508399433,31.155453727372873,29.7069331674999,31.71815491032521,36.26807258368486,37.09175629236878,40.45978039668745,39.66776563050931,41.627348648931054,46.260202195454475,48.49208513424066,49.557922256881724,44.685556225474045,45.72938067979105,48.73335913215329,45.7654978581004,42.01866634317092,44.98417040013,48.10227964770389,49.81339381758429,51.136898358232,52.56739558770904],[39.417946887440245,37.528917363873276,37.02377754335416,33.857262040429276,35.8287376819656,40.226532429009126,41.46644767738892,46.03154627864308,46.04790900453384,45.602817750103064,48.81836479611514,52.16656037946886,49.437017155573834,47.367920340369764,52.371871776757274,53.236621342721094,49.36301111187945,52.22606024677142,51.07622996825921,53.44433414113305,54.66250234165585,57.09077517623231,56.161756915979865,53.313088046863854,51.9330815654065,49.71229666817083,49.124802912857604,47.88526652280192,51.37638369704619,53.348234810247575,57.54840626903794,58.02031451763249,62.23917134222538,64.44974290175023,61.12871316324101,57.7464621687042,57.23399254501909,54.274383014270704,52.04463366346057,55.44989615473218,51.514049674313,53.95057006783222,57.47961819184158,54.82869324370772,54.95059992209763,52.38409095104259,55.86588363756217,57.136249623768194,52.55344000103071,55.09488521866421,58.85316224269881,59.40917131023876,62.205039778608665,57.90293707169127,63.66330521147846,65.63377777939758,61.80058347173358,63.32850971044623,67.69418718007674,65.82925936625476,62.76377603263044,66.13113784511916,66.04117313719995,65.87860241501669,62.29897474984943,60.51466424364093,57.82285408234861,57.17922170155982,53.91769582747299,54.15624494649652,52.22715857286605,54.252808677606865,57.26430335931558,58.71463212621814,59.946999901764976,65.78173300224508,63.564598948228216,67.6761809554642,65.68494002743496,65.02823748696603,63.946909590815906,61.326441008646704,60.875262219188066,59.33369013359978,55.65658110198966,56.57800522588188,58.10897429523247,61.37571476637527,60.39857407009147,65.50903657972738,63.24757755088734,66.39465646160137,64.17242953795764,63.492446779602005,59.11424264112673,60.38446651305375,56.26737213255919,59.021472214861525,57.02030666410709,59.47975283442251,59.0126003058846,57.66737887522962,57.54752034696249,54.839684148199055,54.82090480173007,50.001198564964696,51.60768566607715,48.33330278996017,45.42037844043647,48.116179612713395,44.568650590470305,44.48046945537264,43.861144969696966,41.913334764337996,43.57365737526679,40.93756903862211,43.768172251976765,40.98836155084939,45.67331131454814,47.515335209532665,44.632796638386296,43.6744797966923,39.02427544759936,38.99402600433099,39.376679008115445,38.045088307054456,39.76186421669546,40.31948269240928,41.419692450577784,45.33282625824259,40.8986729774438,44.6260039933178,43.86633818432489,47.9945499865086,42.50371934395842,41.99684586594877,36.55262267365096,36.57418255437797,35.30172685256962,38.66339437535574,36.68192263550025,40.037144376751115,43.01376470785937,42.50086611048022,45.822798264728576,47.86211560129103,45.15726300277833,47.12469261402338,47.39245406140168,47.227366526157475,49.05436804312113,50.89162043889604,55.01466481081426,56.26251396405928,57.08852019555379,56.54585150151008,53.7375361781868,53.089486360773066,52.74909339533438,50.132993283445415,46.80060074075535,49.79000931213697,44.67913611623809,49.05689410796793,45.42944011183439,40.28111454794089,41.612021429528795,39.14239349320034,37.37044951153746,36.314112115814886,39.16879344681167,40.195709936238416,45.30687945613434,48.57121012016625,51.630467381631604,54.156521079478345,54.69390240758641,59.11960392208724,56.449312104042065,56.4304497865284,52.00472569003643,50.10234616823293,50.65022971651432,50.48361514590318,47.976319747940074,51.26793165903439,51.09464305658926,53.114890067117585,49.586961406141775,49.32169869344416,47.67227117932419,47.84584727007168,45.092706436290264,43.45156044812025,43.38594092539245,41.847501656294924,38.98632761745849,41.32893412836802,39.54592915004638,42.393507126817,43.75687668996714,46.13820115210571,43.02533575366203,40.35552909796837,44.19142211977696,43.69003990583642,37.72559675067972,40.537449455357255,45.85462567682085,41.62610375230741,39.73900359860943,43.07710401275579,44.2874159329574,39.93453263370424,40.10810046148125,37.4717360328215,42.61246368282249,36.22035229742247,39.28500271648191,43.046609577309816,44.76909504282764,47.91257246556512,48.35985170055144,51.29700713149927,50.25162066702833,53.062643982462,52.42420571271939,53.54399963149066,50.79100228595256,46.58869261096916,49.14674260795383,48.66786317680711,44.18148061278926,43.75237572013692,45.57700887594569,41.72249020965385,38.78418343736721,40.0013591822994,40.2483807531222,45.35277129396894,48.331532849487836,49.616448658824574,53.389322825336755,56.91114288512189,56.165695104448844,51.38859646661898,53.38739907856441,56.14224818940895,52.16148899389652,49.95056947941781,53.60834962809129,53.32623715866957,49.181367548237496,51.903527921641256,54.03154620136842,50.92466179374256,49.210660993243984,51.888555470622244,49.14960256195424,51.34099790273268,50.56861156897689,51.52184321772436,49.40609118116034,45.15340326436261,46.73709648818704,45.58308448316467,42.85092895695783,41.132330904019106,43.682228993214764,40.464624727159425,36.957269895087336,38.06867994880615,39.604530131754984,36.287849214921415,33.59700157776182,31.57990770130046,29.833104041949557,27.385416072147745,31.65409236430934,30.279957833934223,33.98589850581635,34.84031185244491,30.058496885141004,29.950882167534836,28.024584021501184,29.809172970182644,34.33419572349714,35.511431030454304,38.59676647936568,38.228261666946125,40.49542057776784,45.14067907540176,47.427416352534806,48.84481491843946,43.99027524253059,45.102919317374244,48.370702674552454,45.51268500292151,41.844340677537225,44.77595447464578,48.133225219783796,49.90005945351264,51.20236267270246,52.673967496372924],[33.40371374263949,31.42802023632889,30.840768916188832,27.50534473773336,29.570303333414884,33.85051915115256,35.12251717884741,39.687619926922906,39.72017651473986,39.41130485115627,42.66362092384749,45.93244361672247,43.35255587602478,41.36881020889596,46.432948199664715,47.30037031606711,43.58482829895486,46.67322351022021,45.904549573804054,48.261478832698415,49.78905880621483,52.3787640783847,51.69803850688219,49.06980372742097,47.379543365679574,44.91620678688048,44.06299283717553,42.5078811543634,45.796538485119655,47.53962064457984,51.78954699502651,52.07602419594486,56.27803407763546,58.66927730833933,55.39044058777917,52.157287343095554,51.51322804580773,48.89630677309302,46.810301531103626,50.47807697050262,46.75292351596498,49.062740699506335,52.74303002953828,50.36471841077775,50.81996877911456,48.529440056158876,52.15443929623395,53.0256232384735,48.453524450400536,51.22304601589586,54.6828843498052,55.08277446372096,57.74631789294091,53.212382053480475,58.804164475641215,61.07180271823828,57.25867991639637,58.4192866453092,62.91325264175385,61.40579009488204,58.133846938227116,61.34659996723383,61.00534840518509,61.131205122446815,57.629472288068726,55.5472307369352,52.85814346364997,51.90829725867018,48.741637419688466,48.70770686137026,46.931667584063575,49.11058883242812,51.94930679257803,53.623882918059316,54.57454736545429,60.5234638767251,58.31492827356759,62.29440884972356,60.34221346110999,59.84656606497806,58.57613115046526,56.10631550763833,55.369641807232675,54.06321143272835,50.4584149595501,51.15026919489057,52.81435907896966,55.8248508772709,54.99819820327499,59.9286635190408,57.69560363796036,60.88899515496909,58.518669007479836,57.66422879565795,53.21191110245598,54.45400395455479,50.28512241746511,52.93879725856438,50.839071034900115,53.18555570816003,52.877236717228506,51.480649841597454,51.5478149778328,48.817761357270975,49.06786779833832,44.156867977851,45.891027615339006,42.779794817157246,39.678410899647815,42.19465186751656,38.48561642330194,38.4464176982693,37.66756030514327,35.8815984659436,37.59533156551653,35.147537885635444,38.18153433999842,35.68490100111255,40.61137862616673,42.077478180331404,39.15244791010828,37.93888257728062,33.3082519558806,33.03496527356706,33.204418074825725,31.98852631780256,33.5458463789642,34.32988245951978,35.57406244595601,39.704384081190575,35.48093289146708,39.415591259087094,38.8690032420475,42.75175266540374,37.27316720924701,36.45897811263061,31.023495281956745,30.95829105963008,29.677567485315045,33.21389713376613,31.656659267267134,35.39846642302335,38.03389504157711,37.233858652767644,40.62692933620298,42.34196392653479,39.51522542097424,41.239581671275246,41.39544911760181,41.043003675110356,42.82114402650905,44.557547794110874,48.69087736240352,49.883098039334094,50.726128512293016,50.24201393078269,47.499158763990565,46.89489433692488,46.673962945631146,44.153457410431635,41.066480012639,44.178854923766735,39.31504231883813,43.83107223372373,40.51797714283513,35.51242982825354,36.97490022205651,34.96415218176008,32.933290905921346,31.48898661486607,34.17767451531535,34.94100186800397,40.08373031312475,43.208038198996135,46.120283315238275,48.46599465731252,48.89064600286741,53.38387226625102,50.96040028287872,50.944680237837,46.79382129652902,44.59023758141021,45.54438733919474,45.6854385441667,43.1141959419101,46.532534297966556,46.300433540691,48.72271000637212,45.45448722821844,45.20693529895637,43.70445430362408,43.54995785188641,40.85441075866284,38.992333596852184,38.872872410844565,37.41874385063101,34.125855479951156,36.41942976777548,34.42506511596256,36.91627011331064,38.49511081509005,40.55556358940259,37.271727906527474,34.85830225027291,38.7448855353947,37.898656935806585,31.954055717125133,35.064078737651855,40.246700007511826,35.76073037724374,34.081655501518256,37.56673189367653,38.479299438365246,34.12694812654589,34.692937938579405,32.1036189385281,37.5426336174358,31.523178966195267,34.332851946882364,38.234028314744535,40.3793707748202,43.79862199611037,44.31998182357064,46.91192639744756,45.76010321880853,48.56318436618631,47.618312266423764,49.1404840382678,46.59093635900353,41.95441478733781,44.5718301923573,44.63818517087338,40.05049567723606,39.299894660133184,41.38527205533315,37.99470311196472,34.679907837653566,35.62021304998863,35.40639595136945,40.34454672699148,43.44645913900651,44.526726887594805,48.16274728548885,51.64171250225906,50.658876773137756,45.91979986577792,47.938456637320385,50.46945175882074,46.35234378738792,44.28489325598962,47.88477372170591,47.44763517876559,43.35806202284726,46.33153714233493,48.3440592808109,45.098289044546604,43.65741683614877,46.52843572165692,43.88227706196083,46.154547118278735,45.28566804795931,46.58069991871713,44.53426752975541,39.96780549963397,41.79266176645572,40.98401769296866,38.0914342323649,36.2552717368911,39.395694373263886,36.362793899000685,32.37290080495507,33.679183564605076,35.85354553655204,32.616226114783146,29.49034974593758,26.88400911650393,25.99222958469154,23.025429532654844,27.221159482662305,25.078925484687694,28.56118813448901,28.995167723343783,24.28788809267998,24.255374226835226,22.721781193872378,24.430929964276675,28.998817033759416,29.706356376669433,32.94945352337599,32.264965981487215,34.45107130148557,39.062553382206715,41.39064920098283,42.62857206275494,37.77724030855422,38.9882682319938,42.150641484607554,39.18011819489844,35.58519117562154,38.67017710295617,42.02362974274444,43.794789873683186,45.120806257399835,46.64981002294266],[33.63730085503054,32.09712123874666,32.230534437880536,28.87743238178435,31.712446735862898,35.408239227134274,36.959101712941674,41.514106663761375,41.244702335105515,41.17231291659972,44.265863729567926,47.582284980286154,45.42517926989727,43.16812000150761,48.30254263199063,49.43162074984955,45.91756762966681,49.09087464973071,48.45716869533143,51.08263720645156,52.65504933874181,55.493415370871766,54.76737725411256,52.244660571730066,50.5979720547043,47.89716364225977,47.1275438306504,45.333692752109386,48.46775906223514,50.09173524557909,54.017293290680605,54.42253357463618,58.48966017327947,61.043936853319074,57.96174489953143,54.82343349050367,54.28811791052416,51.93182962927126,50.04236699222443,54.01139590154288,50.27430864949711,52.308491068910314,56.1284545264742,53.912188970142296,54.37097738608522,52.21618075553201,55.895660000827505,56.73516746454429,52.27699830814118,55.21102604844577,58.56749572106084,58.97952229898172,61.538177547594344,56.875307616601916,62.38125757562112,64.71357560264305,60.81018506822731,61.771849893910684,66.32095290502201,64.91390738510961,61.4249784999851,64.42179212077664,63.90349768841555,63.985149270016166,60.6540894911739,58.51250835712078,55.50910112419776,54.418721835317065,51.01915222460826,50.73953178691106,48.871494814095904,50.828039910854514,53.84645004143347,55.79488736632033,56.83874039194906,62.89583035509172,60.97826443228599,64.91376844798955,63.17711442995948,62.923688968665374,61.681061147598214,59.43668030241886,58.559211819715756,57.509115421428106,53.93711961387807,54.35826509563072,55.95696552298956,58.78032649008025,57.83694152008791,62.56037076911163,60.13724765657245,63.13951975187798,60.62085902290928,59.6927108731487,55.17731247683186,56.13928389166439,51.91753332766716,54.85195461557242,52.726244305362684,54.983118404746946,55.12456607014238,53.80504498845339,54.202552051310896,51.51425589313256,52.148046099086464,47.127273895133456,48.923920025812954,45.959066300460066,42.607324436501536,44.96027411416058,41.02916011178892,41.17834424540755,40.03310365306541,38.50519118969386,39.983341478974445,37.72183928501215,40.77838884178823,38.438404844932634,43.19093164515077,44.46634264526812,41.358239124960065,40.036137113482575,35.55236891459174,35.270982740555404,35.29169734149015,34.61352726288147,35.92765991817052,37.16516257673202,38.56356501015182,42.93374553441638,38.85135658762209,42.86215158765417,42.57760705680247,46.30386447725286,40.89503758646344,39.84346826573917,34.463309877746454,34.27237033351755,32.832448095654485,36.45670167731746,34.93407146932942,38.820998331383485,41.200931624136274,40.38533793793099,43.87985104817641,45.30729789127366,42.41588553099181,43.93395178185386,44.07421821861381,43.33979378797237,45.08125008332563,46.4020587403453,50.58935235581639,51.28378134690245,52.285905880783126,52.16969698823463,49.578710145295105,49.21662041986531,49.14732943302956,46.930413640708984,44.14765061751737,47.25323705826607,42.62878124469647,47.26720169943243,44.251615688235475,39.32410469912217,40.957239802441855,39.13548635600531,37.05198035636154,35.40307195085061,38.00348277343886,38.53450678362764,43.67968856646559,46.669432690407476,49.414433801982895,51.59778078775259,51.795035952298115,56.428012201663726,54.25500531742167,54.291250967294445,50.37884485881835,47.95293807479959,49.22961363078033,49.56179415791607,46.96370907848524,50.39140081076157,50.038701311493256,52.67111154357998,49.48012991507173,49.3310303894252,47.91331392180024,47.65952797789651,44.99812270489001,43.033636091411665,42.83260185733721,41.30987559136077,37.82814203820149,39.91744832579516,37.60669590185655,39.89348017313871,41.270583621736506,43.11938207811571,39.81975801434825,37.30244128473871,40.969299003933564,39.90403043314874,33.913309802626905,36.88264156120974,41.87192421714098,37.145145299728284,35.30043109467785,38.608225419893955,39.40711220338327,34.848269277604416,35.23810552003935,32.95300283413639,38.28122472182837,32.65681749840515,35.780729007935385,39.5089904257472,41.94857803720634,45.03341112245318,45.966989540982404,48.792448037003766,47.968698278474605,50.98212216068241,50.22403031298589,51.94250753384823,49.21264402759652,44.63631156837804,47.52811468265782,47.669919451253755,42.97510024006975,42.39543410758491,44.756574943200086,41.26190059175948,37.807771205068974,39.14352878492748,38.47936131193027,43.56987840343189,46.56652174517899,47.288264454697774,50.956917938565226,54.19113771359176,53.30235141011889,48.58725022888784,50.234247778987786,52.70378948141053,48.59561957534741,46.343441297025784,49.66395945966216,49.08367387246958,44.94548112745736,47.84506340656023,49.621273821373,46.167666242867384,44.76900697438064,47.66318321091392,45.22545336123207,47.796126557270746,47.26852625605016,48.6579257460029,46.23698429874929,41.80151792421368,44.02583442782044,43.008726974123526,39.953574694045926,38.58593675142612,41.78767423207287,38.375062455447264,34.53017216750501,36.34154852414672,38.3308416640957,34.75657096379998,31.704973343516073,28.90213766739213,27.83887833415648,24.543121854327808,28.347077085367903,26.2964066789988,30.089998050825184,30.286259410560834,25.512761330904603,26.059133070156907,24.838213276162296,26.98825857457688,31.494999440629314,32.259425650501676,35.80693205446635,34.974711042810135,36.61416224508342,41.272083405251664,43.391984242240255,44.487807939686206,39.60615015595882,40.49751620725231,43.493778357113825,40.66220156433393,36.78182272540024,39.66437932781399,42.77529032701112,44.50129490767576,45.84513502312595,47.28458125282128],[36.167375934183916,34.55372348674853,34.60904477901712,31.929650777507316,34.57441481929777,38.68475893705102,40.49733522916843,45.003647491127516,45.15938022062127,45.32105521101053,48.5561935554255,51.67967917333956,49.516209952165106,47.57160960084308,52.72041891928523,53.66728037472081,50.15830294946893,53.41884953103316,52.847158436402324,55.22226720213522,56.84477794624658,59.45961872673104,58.81936043800629,56.19578363348127,54.47705584705459,51.99312850088484,51.05549720595381,49.38636704702104,52.54032250162307,54.066305194064135,58.34046232617203,58.43179362007955,62.5984964445106,65.20501375011885,61.9666371278441,58.8733933749148,58.06537245802572,55.70176954486853,53.6324469932462,57.23289895725102,53.67374667395012,56.066560478837175,59.72860662381872,57.36583886578675,57.86339648507531,55.52732964353544,59.12169402289231,59.989204031860616,55.34937838926331,57.98389352441584,61.470942878623525,61.7921169129368,64.49690064080815,60.01613778101226,65.55404391256968,67.93055952188267,64.2111260113837,65.33613880198773,69.84591640442483,68.40990017204636,65.18443342523562,68.39610459701933,67.99357910228166,68.19475349101599,64.71622609781619,62.56709157415859,59.8687126676165,58.80167790034074,55.610161966065085,55.39098574630142,53.63364336861688,55.73454852881446,58.62013686690625,60.474159696803454,61.36407970896756,67.37763459415582,65.22752557427768,69.13179029338959,67.19509015502315,66.73914799905327,65.31154484706624,62.809838268790834,61.85040427420152,60.50682053289755,57.02160679349379,57.766005410903,59.61821320756012,62.47116588199997,61.82467559296569,66.63559139932829,64.42531520281432,67.60281128624511,65.10393905903649,64.09240646814179,59.557873514390764,60.650220509254666,56.40984438120968,59.04423384032975,56.764159698546095,58.756816678651376,58.87101319974728,57.14265590278673,57.59022588705975,54.524560429905165,54.82581791107167,49.74963030406147,51.12218228489361,47.892482955481654,44.62028432718233,47.332597869336475,43.65374698032422,44.173022941286504,43.435771322514825,42.05320144460684,43.96701840711192,41.75401023775204,44.93858005615849,42.6207537611164,47.59484692454023,48.88594847545398,45.89268388242446,44.49941942042104,39.94502226028922,39.452234514113776,39.26114200932864,38.140237023533984,39.00213185565646,40.04294608319546,41.03085404254227,45.243174961817374,40.724481484481004,44.417539095192176,44.26004785862905,48.28581677816264,43.0589468925918,42.498430562468165,36.884484786074935,37.288344109507015,36.28437549051788,39.91656386029527,38.651349530686794,42.453675065290064,45.05573459388596,44.12405295123973,47.50166693566511,49.083434824710615,46.17228134046762,47.64118976237758,47.53024154724267,46.92034501291276,48.32058422241345,49.897097370217374,53.81677944497935,54.66028940384105,55.9352935283695,55.71297264402698,53.250569234433584,52.56047040416298,52.732548757135675,50.07943289390494,47.34487332334644,50.71802726546909,45.99333956661003,50.49297129394076,47.12391680805848,42.19011367631383,43.32773266383098,41.28540502780813,39.01500390202769,37.846904662301846,40.39978776085546,41.381060439844454,46.48400341843293,49.56055178043793,52.48389497392511,54.63120892448867,55.19668412840256,59.56546545272679,57.31836755066941,57.099968339655476,53.08601200951489,50.57322793525523,51.421491060642225,51.55298954782993,49.19310324211933,52.929227500598344,52.9528861699628,55.28866785833103,52.04888873834052,51.54093207151647,49.843441116977885,49.58278725727643,46.609394208948665,44.5822949103592,44.143617116284084,42.25370510643672,39.09418845716658,40.943518887412665,38.59243481836312,41.32665490457661,42.16711221288498,44.440038213338255,41.46519317139353,38.40481151783294,41.90443143791438,41.3937454521699,35.36582310074533,37.78373977333056,42.97133831713644,38.74617092004345,36.53514986915854,39.6027751314591,40.974664834247406,36.522816540730034,36.23857569902841,33.79168347980478,38.660028442177335,32.48484949172532,35.90554228099344,39.44216460919491,41.35748148182997,44.112688598024796,44.98622923680339,48.23596766426914,47.60077180450492,50.692261592572684,50.39113090990457,51.71761439042555,48.66695601633049,44.618790937670525,47.59639265595363,47.165853721764385,42.51330844513789,42.4069917282085,44.6902503940304,40.619850353751964,37.445823051570656,39.44477772029163,38.96329189763606,44.44567586273857,47.16812505764677,47.923209972199324,51.83244154212713,54.98807962683593,54.556235713290604,49.77079192683874,51.191799721288966,54.03374124896239,50.20316063089772,47.606540718042744,50.97327693265994,50.68314975220405,46.43553392362705,48.87018481826918,50.856883375120894,47.70768059529349,45.80213811614689,48.3697101617176,45.77452307985414,48.22414558531367,47.8836868480266,48.81304279197553,46.23972361564441,42.25447965581683,44.22676252150989,42.72339115283008,39.8416736266839,38.733419316516134,41.24595176380452,37.5360503094536,34.27537938918836,36.02982331872349,37.271784637471775,33.52339145961473,30.9445071125763,28.78963344737502,26.763162610258217,24.030349310599366,27.889249207456178,26.867512394571886,30.93813474433605,31.90654713473437,27.053333697324287,27.40529816984762,25.592395675005456,27.968657853226706,32.36425380681674,34.00806488469948,37.457656579833284,37.298575278382245,38.75224657664188,43.51500263293113,45.41736175057043,47.0449124573761,42.15815038810339,42.676215007366935,45.96229583912001,43.60657763896665,39.45909259935264,41.9201508736047,45.127062705180805,46.861511614165956,48.17778329509553,49.55425259229958],[33.223395223865204,31.265573345896915,30.820108465685113,28.350198897572806,30.535130967460425,35.05319415572095,36.83337284117714,41.300884720145966,41.81024987219881,42.01929588431015,45.403319365300106,48.35932978314942,46.05755367080763,44.454647802316344,49.57555142645461,50.29896318849573,46.796754310440235,50.158002905619526,49.764978836205614,51.86688492863993,53.655941136693,56.119108951698024,55.68905877490289,53.109011871386286,51.16964287904662,48.782130346580914,47.580500951791095,45.92119375869985,49.02425389232453,50.42991724589114,55.03393522516096,54.82205416827097,59.07841034162192,61.70733087364965,58.33303776470504,55.306867067346296,54.25323524948555,51.95706768683716,49.80166686336513,53.21194075742872,49.88470428731061,52.486558252409004,56.06990939484126,53.733655628253324,54.43918176487089,52.13308026696498,55.72552243350801,56.3775532591879,51.63583748712042,54.16966082515476,57.573409615291936,57.75731496278792,60.48807718346137,56.040967685804425,61.512699962093436,64.03393116381716,60.46769391568828,61.55169344142671,66.06941013035069,64.77960546408916,61.676641226727085,64.9907635591724,64.58927141254867,65.03136628833462,61.45938173014692,59.17700204155068,56.79502937693071,55.643517396158536,52.7391196068274,52.52275187162844,50.96097448662179,53.32001013862819,55.93701831738174,57.720261538242895,58.32803580831006,64.30170215038281,61.90962802776677,65.73281489351308,63.62450761551802,63.04609554893667,61.42432082521073,58.79057778948606,57.715496847353684,56.25207317881761,52.84298535815118,53.733262279169246,55.795432898217236,58.60062119751627,58.23137127556624,63.06709609515659,61.07529626367391,64.44538696684263,61.96328867830695,60.86371916597709,56.33288589694959,57.61520281376526,53.38553002090512,55.67110046554909,53.29533313433611,55.162893683255135,55.09894258339506,53.13814294408803,53.52519134949719,50.28209594803118,50.38812891794847,45.31694240315213,46.54741115175807,43.23047948091225,40.03274852022368,42.87415749515086,39.34603865480093,39.94769280106915,39.49717269086463,38.14763661573983,40.394832967532274,38.239071216492505,41.55545932292418,39.36182956432066,44.612740443978225,45.777501144820754,42.931665453401585,41.428155299679034,36.82567204917526,36.102165120504125,35.76602324958969,34.246773726306756,34.93192632362746,35.76506852116317,36.565295616341615,40.68041583555882,36.043818245884,39.66113380780745,39.53949233413254,43.61454671255724,38.467256369937665,38.07738184936222,32.38023011742192,33.08016875757287,32.37661548142323,36.0197763481539,35.1339981560009,39.00078436643615,41.60106261262123,40.46523706907003,43.745957654956136,45.34211940102545,42.408973786494876,43.810705765799554,43.534212566652705,43.07941094985543,44.320568027505885,46.17206035521898,49.9459862731912,51.10432090819561,52.40099146787135,51.95657581961349,49.50531180792335,48.57317738188834,48.82806589392282,45.89354218059862,43.17534281521289,46.71776832825051,42.00392886698819,46.423654236336596,42.95546932468464,38.11216168472159,38.99887400926277,37.053045223881576,34.58575675422908,33.527199263818375,35.97447218073602,37.11884310670218,42.17502321217463,45.25726006184928,48.24241970506849,50.346745294213385,51.12275000814058,55.32347613728716,53.05988881681013,52.7094437234234,48.704170486520795,46.11268507265166,46.83463259106428,46.95640779137988,44.68852089848933,48.604048963618524,48.819879518533966,51.13837429238723,48.00627029005953,47.303576754477504,45.540871198271915,45.1338202292037,42.06047100423583,39.94174546732231,39.41160587737872,37.45884410995159,34.30308980464925,36.12010179100713,33.81096349350488,36.63431701819409,37.49519006838602,39.871851240110416,36.94427025357852,33.87742488308674,37.46879687259981,37.105906756885496,31.111599368357457,33.567664483831074,38.87315056657818,34.83665573665606,32.709932840515634,35.88979369078406,37.369118713120535,33.08607913823056,32.899467633739505,30.220758084798927,35.18714641594858,28.759435339085393,31.939582941287213,35.61333520606853,37.409058350284006,40.46101672253177,41.070389771709934,44.10649948458889,43.26161569848767,46.24510367713359,45.80941748476538,47.10701791130903,44.17270044922542,40.01894592568361,42.89560267164726,42.52578506952983,37.88920734388037,37.67005539736827,39.914072185066146,35.95314915330319,32.74120889877994,34.616095222600634,34.19881436618896,39.64696685854574,42.39021812254871,43.25451255942947,47.15167413749528,50.402369936541824,49.94496477209791,45.14556939373272,46.71935507182088,49.60550231780455,45.79821101924398,43.26723001113497,46.78960885657749,46.604632303223255,42.38004466663561,44.8387146568421,46.98400476348373,43.993115067113486,42.03870530968301,44.592838127977764,41.85991856386646,44.12390071572437,43.575575831998805,44.48052017576437,42.13376807950588,38.033959529032984,39.80542422725724,38.46107496944561,35.645042384559886,34.26241523575017,36.835365923430274,33.36360663529473,29.92284852448709,31.45863667316831,32.92495834785612,29.365867046252628,26.63706598070209,24.495498082392036,22.7203728569358,20.081693414115954,24.196182724576513,23.038902458659393,26.90449170849424,28.07926889430488,23.280983470157384,23.25752124426477,21.234102871008837,23.41741945808276,27.81195988097844,29.5294943319126,32.83887140571593,32.87182759036535,34.49555169446984,39.248105060385775,41.20422962573133,43.016429799985545,38.164453770584466,38.77768831674458,42.21428138163488,39.8943263111059,35.85473221286097,38.358616247521816,41.752942047468544,43.54035450112165,44.86274576185381,46.29548020023137],[29.712914301045707,27.931429980015086,27.83845407622325,25.111513941848095,27.820876625498055,31.88681698159393,33.787091118987306,38.26611140695996,38.549613913570795,38.91045144145046,42.208402015555315,45.18056075859892,43.171559779945746,41.42198937848756,46.60096668559673,47.488861773713914,44.172326318507956,47.66997881561962,47.52663172370811,49.79997169004304,51.75070334677531,54.457000915106214,54.107284402243685,51.71477229066045,49.666587015304536,47.00428356913708,45.74898533165506,43.78873602853733,46.70083215386404,47.947541506246054,52.34060656086117,52.1564350933632,56.31452710323079,59.101963242528015,55.881977851224434,52.97152428854232,51.965192353589714,49.97687798375653,48.03578339394891,51.80647738047146,48.541255746525394,50.85652513525421,54.610790355469575,52.5259532382308,53.38304188989004,51.32318910462827,55.01993483625297,55.461254949621924,50.8366455026355,53.63074711231659,56.79932821798551,56.939178632067836,59.51003446773899,54.85090074845308,60.18112450846695,62.862724522214556,59.223768056509996,59.99129139664508,64.60053303957407,63.540761270601756,60.175902169572026,63.25499644489203,62.62110614839912,63.15458047529983,59.74276907896259,57.29171993601818,54.69861809302209,53.323014266025645,50.3188323995462,49.83430410531576,48.28976682186854,50.59012139661877,53.22267548228929,55.26420521815151,55.803716962288995,61.886418151404335,59.69168558360723,63.42988203021972,61.49203235096633,61.15807776344701,59.500709411579344,57.11574445519647,55.84927138461142,54.703007686489364,51.33134273358782,51.89330821389509,53.92803924697857,56.50230261807409,56.08550286873676,60.705073318095664,58.59143452694334,61.85159068747872,59.22187943673387,58.01631829251938,53.42477614394701,54.529981746235975,50.25538245593467,52.682596263724385,50.27462502514207,52.09354145877328,52.34142183302018,50.482546346611954,51.1216830258613,47.97553579056474,48.49647020636727,43.33623883888907,44.770352438111885,41.68685425743002,38.238694057231335,40.807204847017346,37.013381569083535,37.65758864773519,36.83986487567565,35.68442815195983,37.751264694568434,35.78654439679982,39.18985439729179,37.2257529991983,42.45488103394057,43.32650787843127,40.35587097893228,38.679821254217934,34.186972720192465,33.36395931793251,32.86920017632005,31.778545956120716,32.335426525470936,33.58087219090817,34.637095486079,39.031558513194014,34.69982937059753,38.543528287455494,38.636463323932595,42.41490639166058,37.273899535806905,36.47757739312161,30.89025174664558,31.33073118707125,30.446538489889313,34.21392001499181,33.517583520617386,37.65295543728255,39.8949589995093,38.63304997465806,42.01683014875371,43.265198331009884,40.24624143905554,41.423559811817086,41.13335537756767,40.355837937880985,41.624503572737964,43.15651159422059,47.02583734746173,47.87419248175195,49.20271691135527,48.99444425364848,46.62548481306086,45.909028288458366,46.251171184570396,43.61940903178178,41.177498317458166,44.71477805186237,40.28180637923479,44.85608779652728,41.79292325178575,37.078978204502754,38.243179526593565,36.68701607290598,34.130687712765294,32.64701227921753,34.96502960457328,35.73474200165381,40.80379443231982,43.71508323630058,46.49187041641067,48.42811021102428,48.944505417453556,53.3086553481311,51.315814206587014,51.05547039608326,47.34113596801145,44.50769488585702,45.71117929421622,46.13809862496688,43.76633355536147,47.65828294084193,47.68912738163415,50.38008041603569,47.42921459499111,46.879654590707,45.31233223789822,44.702062389524784,41.77288957990946,39.519887590541884,38.990147253882206,37.158411275778725,33.603871922742535,35.34566382379915,32.76970229646631,35.16097824575569,36.17391931277826,38.14844937017801,35.0316504839526,32.18856034189907,35.7361835066018,34.91783477721653,28.899315220111095,31.598839547613213,36.687305269132864,32.23513941719551,30.216755167751913,33.461412477572615,34.577122474263334,30.132914375001185,30.24175636898874,27.77957152956188,33.002521764574496,27.135858525950276,30.26872340088919,33.986281073634395,36.32461186961887,39.439364206492804,40.32576604685249,43.17530612557919,42.39686312367367,45.46108010243442,44.83535497000287,46.5551125057671,43.730201154851386,39.23606291511442,42.26066145351202,42.38181350479353,37.640105071163156,37.20492869127299,39.74747599758505,36.16404542367472,32.61458906937277,34.3479929142179,33.389234787962074,38.706745176469774,41.52975631404329,42.085590503240745,45.86092637260508,48.98324787318343,48.3275187552489,43.57736915196304,45.027306507511824,47.6673414778081,43.714630997563845,41.24878059386651,44.5879452116416,44.170701894033826,39.966797912344724,42.64846779040027,44.55977286812992,41.301291003309885,39.63765383578209,42.40192802870233,39.863767277321685,42.36615755339621,41.895525892513966,43.16012877289856,40.69282578170999,36.363930436891366,38.553799028207365,37.421500507781275,34.38125882518805,33.119193529296474,36.24174025107064,32.75967641823106,28.96849059223593,30.910645321530154,32.83792028864689,29.209162353300524,26.150406482292322,23.361579620536236,22.2887285371613,18.975387949774177,22.799296993797924,20.928730565150524,24.788596871950734,25.392386886287323,20.578110125614927,20.98730632878114,19.541064102341224,21.886613056256554,26.30290677115508,27.553690045398707,31.150984656195398,30.76042403586053,32.084973870442646,36.82864184838472,38.75438407252597,40.27193840788902,35.389042451984196,35.97647526647185,39.213615798400184,36.79404871145961,32.68707099795718,35.273914208671414,38.537413346658454,40.30726844272159,41.659321851246794,43.104080266810236],[29.990509682303106,28.619585005306035,29.196120597774225,26.854595472883837,30.17959128861817,33.80385462811471,36.094027989143605,40.478064973194535,40.71019500767145,41.44316629680194,44.647726960186915,47.517250641126495,45.941765722530505,44.142314688590425,49.36270967963203,50.38537454262377,47.30846149364648,50.9478918244701,51.03220157960641,53.400096220675785,55.46475035457299,58.298081336621436,57.9980588541934,55.69867160841487,53.60549121199744,50.81099409249001,49.50255802740138,47.346121314160776,50.0740453701761,51.11207654726484,55.377430467181455,55.09763666341051,59.16012599630785,62.148276096396536,59.04874689730156,56.29203710200031,55.22212739282051,53.54192153880328,51.72682691535609,55.614755322369746,52.47745911648868,54.693183371610075,58.51149566935095,56.55222672176197,57.492899710890796,55.51754346741599,59.227846972068996,59.58402091294501,54.99021555973242,57.81359485772589,60.89662610868766,60.96311299004177,63.48646337360087,58.77369136178114,63.995265085219216,66.80614010611652,63.19250358105271,63.79002999719921,68.43918532522227,67.53218797604765,64.07256278959402,67.02883433065294,66.24760677045948,66.86354505956795,63.550022249508594,60.989430034899925,58.28200306416344,56.738870113131846,53.670245925165865,52.947355068999,51.41969932321221,53.62064998418472,56.29089512944394,58.56528067478133,59.04584005027224,65.20206194325955,63.15269607021497,66.79531374327661,64.96155023694338,64.77393548930786,63.01500403986857,60.74523645310622,59.257538954286495,58.251947469912096,54.98346028887106,55.412569293516185,57.5311789501703,59.88996144434204,59.552214783946305,63.97505538316592,61.816272369006136,64.99389617250911,62.219150203374795,60.87054749827347,56.21831774686663,57.12793343364544,52.8057292388744,55.292650891392185,52.77215407846616,54.326543480933125,55.010713541137335,53.008133029925844,54.014765563629204,50.73031573933237,51.49045512719591,46.22355261767019,47.516033155071085,44.49809955429398,40.85279489005305,43.382913753788586,39.51801174264533,40.53078680080468,39.55905706282945,38.760664986386026,40.821621012911656,39.10188439561354,42.598236364302466,40.84199284657831,46.03918917441921,46.6784931876274,43.61894502279487,41.77581566191707,37.42027923054984,36.45149114639824,35.683739125680006,34.89192145929037,34.95576081303949,36.55105934523346,37.55778262372955,42.08719040717052,37.7658263501204,41.5206756150339,41.954355130405176,45.650985616766675,40.710734804073354,39.88581554881232,34.30551856367875,34.889751804552176,34.07849305653468,37.91520351479974,37.43613495805482,41.687113080202366,43.74716108145032,42.37661514808092,45.78082130817071,46.78578643195955,43.70096622341707,44.61396245341214,44.1634675522497,43.06883937550382,44.101540477726346,45.3427146969121,49.088193523707744,49.52982229197168,51.15043496545287,51.24474542007499,49.118988331829044,48.469355364289456,49.10108999586679,46.56453138685803,44.49263646006369,48.15147225399688,43.96004982544776,48.56778274501273,45.666568294474004,41.07322383565468,42.172004911051225,40.76626276430104,38.06566433541925,36.576006158385674,38.746197881356615,39.46880897045677,44.48150064962981,47.27019490796938,49.93732510670716,51.66095129268157,52.13019758990687,56.47310417972995,54.73220300583022,54.396016825850786,50.9208751180454,47.809554134395746,49.167339650800216,49.72575162439576,47.44628439241739,51.49194212083227,51.58055199586609,54.3760660919945,51.53079055682984,50.90241314326541,49.314331314352195,48.55813277826601,45.552523900957134,43.16200907256457,42.44673039718757,40.42120377248298,36.80720189252044,38.214068315476055,35.31448218235005,37.62294066897649,38.20278410898962,40.09213182488132,37.12942781158373,34.00054679439348,37.20237592081086,36.39018614860523,30.401643536909603,32.68306541763764,37.58670621990581,33.15706296680346,30.837624794125237,33.75823773653464,34.99803885629536,30.448978995016628,30.0748187515852,27.885720759155312,32.750523390698135,27.16360625357521,30.688898427836016,34.11110423055601,36.56204798827005,39.203481322248834,40.49247113003056,43.69408115132598,43.32550046915095,46.61427142943416,46.33998423716466,48.12937487315171,45.04122079094126,40.81329316787531,44.13327099493085,44.16654692691207,39.36975280820991,39.267766584837176,42.06331162476613,38.250650120445336,34.671115777786035,37.01672020796294,35.63318567572709,41.18394431050801,43.766019411812145,43.93922494739861,47.805877878366,50.6135243857394,50.23748083070064,45.52077089413767,46.48144218339009,49.18511615092027,45.38899417297265,42.61401299757029,45.658823788496505,45.22361545897376,40.95873195607605,43.35028570277456,45.09883959869101,41.7896808214246,39.964392207673335,42.60115392609752,40.22963154952237,42.9716245749311,42.92548581814707,44.11398999386009,41.22452941749854,37.23185607827284,39.72995977410351,38.2276414663927,35.105268080519565,34.44976032364565,37.37882803022814,33.44487148513455,30.04935871353038,32.49408471845798,33.97760338622929,29.99234356059195,27.20365613866591,24.462570529395055,22.942897045857052,19.52269675685798,22.811864046847468,21.46415052050524,25.671801183011976,26.344777734927863,21.553437637124894,22.476670411495274,21.18342774844032,24.003659811355742,28.19407460582191,29.823418069136522,33.6328638528429,33.38375334765448,34.04957632287447,38.80872700638633,40.40155345083928,42.00539698991619,37.151818934581904,37.23559275003824,40.39674825440704,38.386767762962826,33.92275370520309,36.06968829046845,39.109104480546925,40.811890549613814,42.15702309311803,43.486778526349156],[31.28184422385454,29.463648551984722,29.33573611600134,27.699225550629254,30.19421905787365,34.612954632902216,36.920205610455504,41.22394925074189,42.08533216525404,42.86916326949777,46.300816498896445,48.927001101246596,47.065375265788305,45.77684225854047,50.93267766417565,51.592374252881605,48.42258443213905,52.09350409784542,52.20148264493488,54.13701157710989,56.26027252668158,58.72744533136692,58.58975037066925,56.179134349207516,53.944088934214015,51.485626020501435,49.9262253790612,48.01054400259692,50.80679821932803,51.789004615505675,56.59417632552243,55.90770532351634,60.13821898677905,63.07128544537257,59.705288769989075,56.963864330977785,55.542273797074074,53.747852651356645,51.66337769916786,55.01174900155112,52.1300917821094,54.82676426155845,58.39966832152292,56.26402023351175,57.299422443842346,55.137617348150705,58.73808062491281,59.052173283465464,54.242140508529275,56.69259261768538,59.881243441230424,59.82110827587281,62.51178102278498,58.043873416303164,63.283581009458686,66.1404561891281,62.78975935371453,63.60277149649705,68.17855769792897,67.24949561375327,64.16538565720631,67.42960181834592,66.83649193313035,67.64274013221137,64.1054781272758,61.53749882811115,59.347581160160466,57.880304993890114,55.19613103551756,54.66269886940685,53.32809596067194,55.82568226010236,58.215952141921,60.23398117237792,60.46154976191456,66.49278615855538,64.03385129791853,67.63993711565503,65.48092737756342,64.96222113970795,62.9830798418869,60.34788940125131,58.833365946423015,57.41352505095782,54.241024176042444,55.12630516246243,57.54783975487059,60.00346887900517,60.057902530614506,64.65583288809766,62.84665029171231,66.31735452136246,63.65731406006954,62.26488805876795,57.652354110386874,58.878323707721336,54.59678918547442,56.5701764031451,53.92403571592716,55.27626800373088,55.616914558850944,53.16798116231102,54.00491231020019,50.335714517062286,50.53150162430536,45.30394921512149,46.133300033065616,42.785340811070135,39.38615807358095,42.36032109540312,38.91658161561254,40.170683987544265,39.852434497921195,39.04953440212981,41.682518089821805,39.93125951510399,43.523892156984736,41.75457003605746,47.256845231225,47.97420045153676,45.16273124564771,43.30908697629693,38.83809968800686,37.65561507128182,36.76885336411816,35.205473887048804,34.96052766442197,36.05147643345733,36.54058345827925,40.73705026375002,35.94130512738037,39.31608044809871,39.75804962778615,43.78838893165554,39.045096883857916,38.834852926016474,33.052521725038176,34.3207223086976,34.06940663501132,37.82512034130758,37.67417936630948,41.76629873657453,44.10765571208409,42.59770378369596,45.79844707195827,47.07178682934364,44.01923701887236,44.97415836351112,44.27366557479439,43.5526528181547,44.26297565081263,46.04090325415268,49.464810051525625,50.42604800248261,52.17403565077935,51.892127292001554,49.79578748003593,48.661798772712665,49.430506759651124,46.28417231508808,44.11241441038698,48.032140243503264,43.66985293530516,48.0413827682969,44.69183214420943,40.136032157425525,40.63196186883536,39.014889784670444,36.11630263716466,35.1843009752443,37.282698895691915,38.55241105239819,43.465961784108124,46.37520803442468,49.28110149257402,51.03213540952279,52.00058239455222,55.971443326090785,54.039647784732175,53.41368544616317,49.75862794719924,46.6686196454482,47.44220512066179,47.731634583203224,45.72342714719549,50.072634195914254,50.60759462221794,53.0357416136571,50.167408098976196,49.1305160140272,47.255483158674245,46.47632152594965,43.16261309096618,40.73357624353361,39.80288237292411,37.45436602832568,34.24078148769711,35.486869237217896,32.724963255994375,35.577914715336185,35.761528600105954,38.1965351670461,35.57540364667508,32.00250950881648,35.19295388874476,35.08964261894812,29.139008080674206,30.97651324391958,36.21681906107897,32.497686905211175,29.985506608697726,32.82107077204894,34.701274074951165,30.484380015460715,29.641490800325354,27.01321678631646,31.51919988944153,25.02258569479969,28.55138787176464,31.952910236593674,33.665179319810804,36.33190170488202,37.20978449385403,40.591518233115494,40.126838611655266,43.33378641745875,43.328776335325344,44.64477876882502,41.38896715972193,37.57955567606313,40.801815325662275,40.287741443457406,35.57817643096543,35.80039595098995,38.38338720204223,34.114083859925266,30.840182115162488,33.598413194520276,32.61803223621201,38.43805154877341,40.81888531686299,41.251708935730505,45.312742508131585,48.220877421060266,48.195044452196946,43.40803356125474,44.42558434920148,47.51596912853057,43.98085009307872,41.02903318074703,44.333873689031925,44.2881646156765,39.97762043110156,41.990081925440215,44.13320068749894,41.302726725999854,38.97450680395084,41.282353849468585,38.583340052939946,40.95198163301989,40.79564372459938,41.48793026753343,38.76397785663893,35.07540954928418,37.01989062997792,35.23203306293974,32.3927807381044,31.608852653127702,33.866888914618464,29.927728879303604,26.94231478300825,28.980502558200715,29.924535977747432,25.989882060030613,23.555102722526776,21.590350225502643,19.238646074578714,16.642189335788157,20.370188083485882,20.01253102177606,24.19282978635333,25.85175406562797,21.113060055580775,21.322430911612287,19.166796515287437,21.886309756518667,25.955993827715513,28.435461493296323,31.90641149595801,32.43374565255723,33.27809826168549,38.07973683734955,39.60968121714994,41.82805571591755,37.024361483809614,37.00180968277102,40.56289475725862,38.90033916630157,34.45365986250077,36.35611759813467,39.68524553205331,41.43391747447496,42.736546688702035,44.071228858898166],[28.921568943111797,26.74803936581684,26.069816437973415,24.259132263047864,26.27288761328314,31.012219932224884,33.102874014163774,37.42817844238518,38.41800757525339,39.051418224516645,42.562524161988726,45.16239873109066,43.07961282729947,41.94580141016062,47.05336987331064,47.57849586965094,44.34434625648047,48.00307563854466,48.13688599704679,49.9353411925874,52.107052994305164,54.49973014490936,54.45039681055586,52.07370535500182,49.74081113760725,47.33126375533301,45.670904512877094,43.79226233181573,46.598497150569486,47.59365198251638,52.54119526625819,51.78631818523191,56.071609338957245,58.93519221539635,55.494212063179575,52.73590701987179,51.25984209797697,49.41564544597726,47.29080183842987,50.58809829992867,47.762629104957384,50.51581094996039,54.05636003040882,51.94758999173629,53.070994007973255,50.96061143935024,54.57616388140855,54.77599849714462,49.95492455730077,52.4237198601427,55.539427951846086,55.45024095805628,58.115244600056954,53.63505695577099,58.854254039617274,61.74224817575632,58.42709718462853,59.22028592933947,63.79428023159772,62.91417092416488,59.86340649555709,63.159745647950544,62.583186408084366,63.467993672528394,59.89654437329187,57.29173885074467,55.25087105368013,53.781813764382896,51.246087248082695,50.774254330338934,49.53063633315898,52.164386458370835,54.40911286071176,56.32899816625459,56.44610132100041,62.4263433352238,59.848892711843845,63.43863647159025,61.202609339372025,60.622528765440244,58.61065554822228,55.932373085312854,54.44188678241474,52.982809886117856,49.80453494988297,50.72941933533563,53.181548104891796,55.66506132270631,55.781597314018754,60.4271856546473,58.70830099200267,62.26571041391257,59.66292646972511,58.288815795712374,53.71032349964876,55.07685749201882,50.83168932742397,52.65036348317713,50.027932425960536,51.46661411278407,51.559385252656284,49.13046058122138,49.79514864805529,46.16450267886915,46.25880278119585,41.071492374263116,41.986927215701975,38.634914848595066,35.306943459462246,38.27927638026052,34.867978548786304,35.955948945276035,35.76163575755177,34.83515292539017,37.57202220963434,35.7813608081302,39.38416889759318,37.64406332566312,43.24993093132025,43.945380156414224,41.236092401330154,39.38826013722849,34.89022249216277,33.650983095837,32.80037625659756,30.994503508764968,30.892080807930345,31.79350256538972,32.29164497569464,36.44763603923787,31.67877245905819,35.15020413133033,35.47308887344621,39.486112975662174,34.65887346636871,34.42677728572097,28.64355543402241,29.913218008338674,29.734953101448305,33.46596370201166,33.45047150333692,37.559565469196315,39.878159138634494,38.30002558807772,41.45591829822392,42.7642364909026,39.726291798472424,40.727029506943936,40.03725310561293,39.48118016149486,40.260625555710945,42.24009954325725,45.695536181150175,46.94581579974815,48.5330347119352,48.04046931785152,45.832827310377645,44.61592647553486,45.27584593235499,42.04153586205767,39.749089413304304,43.66721653638524,39.27198715177585,43.61923682186213,40.26877533530592,35.74472956253338,36.24002169431493,34.71436489450253,31.776811032936592,30.771665169605694,32.852783939035604,34.11284783134071,39.02582189363979,41.944748816382734,44.873199415436915,46.67599362729967,47.68426209484751,51.63979499260402,49.63646732795329,49.02794746165594,45.329051183237716,42.29217009641515,43.07030373022357,43.377797380156956,41.32201597662742,45.64975112947235,46.182772024766756,48.65575238694393,45.84584303177575,44.816363113940696,42.9877796226833,42.1643057663196,38.895038180811284,36.45575460732835,35.593786808070156,33.37394514093747,30.053327375401167,31.46851903440575,28.82977240219999,31.641198457943915,32.17237458224988,34.579318291915605,31.80766937723857,28.482529724496775,31.947550151987198,31.74884084349743,25.7708571527598,28.000004620208763,33.35562155460595,29.559914752739246,27.32858810260549,30.463019190056848,32.17635555201379,28.057009832558006,27.699462969386584,24.854651099693033,29.753988888443104,23.16677236581049,26.272823112210634,29.973207264744495,31.771648731288128,34.954009300982676,35.532314834361536,38.479260246888984,37.649828645675434,40.689148278781396,40.299466105863694,41.72206238409376,38.74165055708255,34.54416775784225,37.58156969648086,37.35052084631595,32.62568987597646,32.47490917333533,34.99086910740668,31.06766578877745,27.65037382022658,29.88340207536577,29.01131348802415,34.63783448498861,37.22725878098281,37.85925887912822,41.818893865578566,44.94352877360296,44.64498646182964,39.83984716135509,41.2155839503197,44.196434042460524,40.50431558807919,37.808424595396396,41.32223849322953,41.250695653824515,36.99588448762802,39.299818576751,41.53982250600877,38.717937626561614,36.5838075178736,39.05410386357059,36.250769945722574,38.46184657517508,37.94425871115092,38.818820435699706,36.44521005960197,32.369109231700385,34.16867131412968,32.7975521658851,29.95304737301195,28.647642391099158,31.299573680474822,27.79537847946341,24.27296410406308,26.010794420848715,27.585939291319168,23.974612541009225,21.101789101404574,18.827276877458072,17.226760510422668,14.476071765393968,18.647739076202928,17.54277275370155,21.375224489117855,22.90200437297735,18.180196834275097,17.972747394826722,15.761753776339505,18.143464756093262,22.3987958130754,24.53375444581679,27.9109825470791,28.322583381900763,29.54926594589899,34.34406398345668,36.104021421543266,38.256070602248876,33.43382748172219,33.76689969092399,37.38782207074894,35.459104040358376,31.272953048969633,33.49289072737798,37.010594654654696,38.833455585453855,40.15076312309148,41.60081972251119],[23.895183552513743,22.26866683464413,22.670422096375358,20.679179046674125,24.038593662387154,27.698260141933154,30.24286517581663,34.517408799230616,35.101376759953006,36.20726104114826,39.51076529631034,42.07297869482877,40.72010345158717,39.31865203285239,44.52174310711664,45.3878591370014,42.59088037347095,46.51165280352337,47.131973845339104,49.252379853584934,51.69800284178782,54.52008863768624,54.59096113960734,52.545564347612995,50.07051552022674,47.190136484553854,45.46266735594559,43.03712102520232,45.43857950966159,46.078872300097274,50.58651758495849,49.84558273566089,53.90634870243153,57.11415513397583,53.99722427050158,51.50377982950892,50.09466517117251,48.88847564566884,47.17802649153765,51.08238087230707,48.40154419658025,50.631774335641026,54.449579963424355,52.782940057198516,54.136036296233335,52.43196405017574,56.18726726068483,56.07068560862478,51.47874471833446,54.34532645686519,57.06920852243048,56.90044483705623,59.289232194448026,54.485926051503704,59.422855382812315,62.58135150160086,59.16509051845024,59.40247784427873,64.11430860084519,63.63480940369319,60.14568910618342,63.00725916228806,62.01153042914495,63.04607002232491,59.784016845320075,56.899194022726796,54.46106794069261,52.58252782201929,49.851047962906385,48.84661928438051,47.63208477851563,50.096956189944144,52.39110170656056,54.82091049515982,54.8250413954436,60.992704242530905,58.817436119722224,62.22514992691951,60.32501708717379,60.204080271606855,58.11626424612974,55.90089686306269,54.02471032899283,53.14722395657719,50.08501727165741,50.41683815684917,52.8346835866917,54.848475270348935,54.9049865393801,59.0991105301531,57.15673865279834,60.47676543663185,57.577941717584366,55.973445670145566,51.28102303182369,52.25121279655631,47.91977946420241,50.004690446139264,47.277745563755914,48.491861160459926,49.33493201135892,47.007849670321455,48.2792163839606,44.75498424429965,45.65734642955317,40.29969690305433,41.474945943504686,38.56860425782039,34.74447708370637,37.21354310268317,33.332140522128135,34.694360197302835,33.794234528052485,33.398864245262224,35.80565806505851,34.46858017952161,38.21954653665884,36.94987741394333,42.432107846018226,42.56418059699519,39.62546723420201,37.43719685674498,33.228938316818876,31.76826166764453,30.507174873397403,29.608502304142146,29.000307554584385,30.801986119204017,31.70149334074082,36.352466077398546,32.15579319197996,35.90818104504063,36.73611852251013,40.18295534539637,35.516218191222315,34.606049921490346,29.09885530758988,29.976765213620332,29.525975519000895,33.430557438893125,33.775321199153126,38.28289997471076,39.954123689025835,38.166751069527635,41.47134217308869,42.10728706932699,38.92692345045865,39.42879023076654,38.643238974310144,37.379331778817225,38.06864847081827,39.338725638767116,42.87800364890239,43.3715703624881,45.18416502232337,45.257888601729846,43.32637874650579,42.51022691322402,43.46709173819531,40.804277880233144,39.16951968265344,43.09865287891568,39.30045967547658,43.87389969973727,41.26751920998836,37.03258271210792,37.950369323634185,37.078816939429004,34.026315603544305,32.370434172247094,34.1669878796888,34.78296088982541,39.63642873717376,42.20037262537035,44.71842513640513,46.14024395996654,46.69172867882539,50.887581263845334,49.44851655874913,48.9586234864281,45.85667941616216,42.33494152242016,43.953404313986354,44.79448008890178,42.62987075198376,46.92996585253462,47.17737098195434,50.24509696283993,47.74990289268038,46.95229866672365,45.43668691274983,44.27495460975062,41.24609070385717,38.59193940464779,37.67265356467639,35.59634548508013,31.682179237132896,32.78700923932508,29.582673849884994,31.575494718990548,32.109280191968935,33.756839311050264,30.77261867584308,27.694157481838076,30.83772064787997,29.84446593292122,23.8656950081561,26.25112432832454,31.088567452095596,26.562536478644542,24.31877940709259,27.371161171083934,28.52298230240039,24.01043849235837,23.866764254767357,21.580634152626985,26.744364883073132,21.37825591747009,24.63850327239728,28.20985002941512,31.020020904776683,33.98533996005142,35.28153293025881,38.11119328073492,37.64674784287287,40.92590431682658,40.43166929443817,42.56939897982891,39.64248056142883,35.09437945536159,38.506895224469716,39.01373742273048,34.16388040088702,33.85282635200269,36.93738459255284,33.55585232922382,29.665197933481174,31.947874162128713,29.982473446396025,35.43202061275472,37.99032394403225,37.89313221454346,41.67001882132046,44.38372192275643,43.917542799142865,39.23998902428275,40.114621056685436,42.70817429125118,38.876978665884096,36.114510055548685,39.12834437573576,38.64816064283626,34.38943266674748,36.90026385411348,38.637874226240335,35.31288404195631,33.5798447664099,36.340566060463466,33.978479990264866,36.74834039348972,36.62507649887187,38.05930831616127,35.235903267325845,30.99256463835739,33.69338583133998,32.470104138596014,29.214070423512535,28.513560739332643,31.944851963932177,28.200316429169085,24.383014370346594,27.097565795878044,29.13385103871064,25.274768125477387,22.09610736998724,18.75171408698039,18.197059592405918,14.209354978834066,17.318756615625855,15.186834782961247,19.245210691735807,19.73892090147663,14.969764154652177,16.004768402265388,15.0819895502803,18.029510513751205,22.07036366609036,23.571337599882202,27.536474890566723,27.290437051220184,27.579500791631588,32.34944796578894,33.84657741940294,35.550501722027455,30.69260256757655,30.65841683546097,33.89413369093898,32.05067139280571,27.49999095894893,29.584446689102688,32.74901067870043,34.49410242200267,35.8630216816744,37.27034767910903],[25.64285464165126,23.578391657913972,23.100339157790927,20.18749321791524,22.702708247221594,26.87387389927376,28.705473889134385,33.18691915412216,33.59541973520231,33.99617398426801,37.370006332962234,40.24276820482979,38.21853365141698,36.65697697399302,41.82914444585115,42.619930843173634,39.390897829167024,43.02370686842967,43.15296452929378,45.302714952502,47.4682534822295,50.1954152153556,50.05653593652599,47.829886354148854,45.54705162963321,42.80163202775123,41.31385110988689,39.19023776766719,41.95258948919203,43.036975626892776,47.556548829637094,47.18350114069217,51.3599238554047,54.21851727839656,50.97982465601689,48.171367532791976,47.030513470143426,45.24899041768518,43.37742651463499,47.236544917432624,44.17324725735808,46.44745593076633,50.237029924469695,48.341453889770825,49.4434949581797,47.58417726341496,51.33251717960206,51.47566889323455,46.88138087409185,49.78086675330298,52.70718414274514,52.73900100866986,55.200165770635664,50.437709427404215,55.622041364265534,58.48869510484725,54.9152876608225,55.45546249843666,60.11505161411675,59.300091352821234,55.86850600903419,58.87201551944332,58.11052601412711,58.86745207731214,55.490806703306575,52.85234947429911,50.38754752313439,48.82804328398019,46.00753079544928,45.39252971816216,44.02064847921735,46.49755439834015,48.908197673257646,51.01215660337061,51.29201334019541,57.38663532449365,55.11687067979937,58.74709395603375,56.78023245211223,56.496828865371185,54.69813185511056,52.37244234756612,50.938623658274274,49.90267916346714,46.60202304372326,47.058143217529725,49.203451831898434,51.620295247760644,51.358648906942875,55.88157651342325,53.86365398953888,57.205899023679486,54.528301615371966,53.21901611516264,48.61256688745127,49.79031217781104,45.516493289020076,47.74924266495229,45.28117970296784,47.046796437294894,47.25657423634419,45.346236449348694,46.016128002975954,42.857443478523685,43.480445116884006,38.298268976794986,39.83712263161693,36.87123119648479,33.35047068500309,35.7922379212316,31.92731189052827,32.5454371219167,31.70845573252974,30.631090059402766,32.82259083403964,30.998536998987227,34.53704872017412,32.81674668358148,38.22940782467539,38.830132009843936,35.92518127630685,34.077251175155254,29.62125573540242,28.56252266539209,27.894878447575394,26.731176910113167,27.184199706229403,28.494299999170213,29.633382215795674,34.1295075161824,29.983273819113204,33.9711472145812,34.15932003192346,37.73459370921408,32.6191751854322,31.62514526594074,26.106913208146143,26.508087044312784,25.703443746378685,29.539508863506565,29.264493425776447,33.598823233395095,35.582685171968734,34.0908937771528,37.45493179106505,38.5007855100216,35.42582208762054,36.44205773179811,36.05656559127738,35.2457504073209,36.48467876285242,38.074925392786824,41.9429137519573,42.93112737173642,44.20058580470502,43.9022428357794,41.53011662835804,40.77124805775599,41.15482314634247,38.51799617931769,36.20129644796968,39.82184284586128,35.5709652360238,40.1759486902324,37.3366478278907,32.79985482786598,34.0112266369042,32.82694800260968,30.119510333472547,28.37477355350847,30.51928327527,31.103447383405246,36.13195181748663,38.92442191189823,41.60494391628727,43.4348261519517,43.92065150831471,48.286115095964554,46.41901463061152,46.15346869400059,42.6151481359885,39.61861023537474,41.06688486238832,41.693237780835226,39.289051903036,43.22959452668393,43.24683776345883,46.17146734558897,43.44081542014166,42.889836411513436,41.44513465420464,40.615746544448406,37.77234540409506,35.39940172555016,34.86745937353076,33.174681497438684,29.3345182557425,31.086538614819876,28.450726301898815,30.53860805026805,31.857365492241993,33.585632700118616,30.29653312320612,27.774434506127164,31.46576015506167,30.37040018688583,24.379964652259964,27.478351850010828,32.50535127173926,27.866636368923526,26.151619516011486,29.639601071094262,30.475050957483262,26.107673368091934,26.7506873641299,24.21170580786343,29.795055578511036,24.206429576911717,26.889639729591316,30.808721079084183,33.42954346645901,36.94744998044435,37.711720789633276,40.09191157276812,39.07003176089251,42.01549529822154,41.01329880644201,43.01916902061067,40.482749245421935,35.57357443120322,38.51300946233495,39.11363128696262,34.36787078050324,33.55026334486554,36.19424483929562,33.13866556539868,29.350484688364524,30.610952815117642,29.393740059735887,34.43677162757676,37.411567526798464,37.92830864578572,41.542451985183654,44.73416320305893,43.79890897326211,39.086190590656045,40.72271161755987,43.162426382493685,39.05733201993709,36.81947280971676,40.22494548390102,39.706243177496575,35.57529566838689,38.55551165408811,40.450606349588966,37.13507336164151,35.73864491767009,38.69232286344895,36.16213422570254,38.61104541725241,37.89297562480898,39.453411166029916,37.231243120576096,32.5377011038738,34.79067927774492,34.10302565299153,30.9941473605369,29.410707208467638,33.07726351598612,29.987722587705797,25.68287490119238,27.583441152227383,30.198885586781078,26.866273236232658,23.391425048553586,20.08381530388788,20.07245310807585,16.431604700678097,20.248428949596263,17.43532829496184,20.856989791906702,21.056666824916384,16.345914119632,16.602521309209976,15.539120747915737,17.604790769914597,22.063118586144085,22.75931560012302,26.412882754529722,25.74788977245087,27.177699500230556,31.882635089120605,33.94822122851187,35.32732278247483,30.430608106048272,31.268079320675806,34.47982877689004,31.868085414918127,27.946766425102588,30.797649634710712,34.17869567805477,35.97661470539188,37.344469930249396,38.89590078718331],[25.540574323684343,24.25731342530211,24.92807919025229,21.27335253688592,24.97021652053485,27.790844462602635,29.628326974746297,34.10166918443797,33.6074113730889,33.99001595337322,36.97690502707615,40.14981578403969,38.62057529741604,36.33695202867615,41.55615172979377,42.869643300639034,39.83699386883012,43.39477632008613,43.49827401439265,46.233926463824005,48.29577639218219,51.489534249660444,51.12948181386586,49.06322650749948,47.00906433883096,43.844604011823684,42.729031439037556,40.30311559744625,42.920290440487946,44.044849949473544,47.76202521941191,47.93518067337221,51.833861934178856,54.77088901513076,51.929154481968574,49.143399999623604,48.47656065534419,46.898683359403755,45.411672768417304,49.90414852720599,46.569130408121715,48.18056818524898,52.240010017579834,50.58931786698397,51.53705644927838,49.921849403702005,53.75643571386217,53.982913320306075,49.70797635883194,53.01215029210526,55.7891991252499,55.9829785086144,58.22156818154521,53.22121792676245,58.317604292537276,61.099984347048604,57.2373131238286,57.5016000744586,62.211685946153835,61.4252204166378,57.54732101601245,60.1267641402888,59.12036911926654,59.61364164031496,56.56369905700046,53.96181948594198,50.81132933394912,49.15606488224984,45.8118835427035,44.916205771038534,43.270966997859794,45.29110000094278,48.10337211449813,50.5746072298221,51.20676868139799,57.442198468085316,55.753384671641875,59.40143155363247,57.88754056306139,58.04799750891265,56.54488332587089,54.71113535155964,53.30614843294871,52.80864285576004,49.442061444516305,49.3142755089557,51.05260265963336,53.29884680904021,52.53246058196688,56.766579932718784,54.2916645086105,57.20574879440304,54.37370849276154,53.11618435058959,48.479418218127456,49.18232589130512,44.876590999995535,47.813074355938134,45.51954799440267,47.49525913365135,48.23738595241813,46.90240694422722,47.84816562655506,45.19221234992495,46.53521278984446,41.38222139882235,43.398600822059834,40.881125080831744,37.12148628660239,38.984778564153714,34.69191546452275,35.073632718555785,33.373349842592134,32.39044776600018,33.73052128498476,32.01991860513939,35.348806317290155,33.690427722973105,38.56051872808556,39.037435794993655,35.79892244168351,33.98004907180403,29.788366139763195,29.063871857838695,28.552902130471548,28.583449678115663,29.350268696419896,31.342322514924334,33.070778722491944,37.85130864003984,34.35965150465318,38.61562777334037,38.85624300100974,41.9750563122644,36.80696507336634,35.12785539553825,30.05707057090469,29.61785913460038,28.104917182257335,31.91328900069898,31.192627839233367,35.6157031372872,37.18375770155404,35.92140161451781,39.48939543695792,40.14259616667582,37.07801845941372,37.98737901390995,37.91953528380264,36.57159417570634,38.16722041248674,38.959686621863625,43.16718430518297,43.370658097718,44.52115564580359,44.78706171088345,42.45273761211784,42.35530213203046,42.606731348444725,40.82188984029193,38.74165571001459,41.96918410182412,38.04719754083812,42.86050955801811,40.64471117663808,36.172847255756366,38.0634868907606,37.12588654198206,34.726036239177546,32.422491211596075,34.577914627903034,34.49486626631767,39.50341836277651,42.07703876255033,44.4000879045849,46.134008557850166,45.981507235440205,50.74779509036373,49.17760447799658,49.25157360426591,46.01939167930745,43.01582772832787,45.12675366633593,46.051322717958975,43.40768963816107,46.936299796018346,46.43060812583911,49.743409418775286,47.048005747921586,46.98898989285513,45.879501960867394,45.09180414560497,42.625772915196336,40.34023943957364,40.012888351464994,38.632182625293055,34.52083467545374,36.29997635098025,33.52185431458398,34.97637212672347,36.523020012362394,37.624755020594336,34.103906646959345,32.03446214642162,35.50937345448291,33.6921102541985,27.867201317905383,31.17743365011858,35.649298379813764,30.349099089516354,28.80448198305879,32.168429356583346,32.29690164267447,27.625675190368053,28.638952120517274,26.765211230129403,32.4195255399989,27.965628696153566,30.754977066931197,34.479096302514044,37.76893037601105,40.997844225239675,42.30010536641095,44.64968337010749,43.895594070233784,46.96568606185535,45.86299349175217,48.30139211093607,45.83166037637566,40.73627817543791,43.825725513105574,44.847713412042104,40.072031908564746,39.12873951312099,41.99056595407904,39.245915777400555,35.285044484784734,36.39658400031859,34.731453517723054,39.47752636036592,42.51125577456901,42.648627957773996,46.04149402499797,48.98977637502509,47.79169562821286,43.239554754092886,44.62958288751632,46.64623132493122,42.36885869118061,40.2639547657036,43.230922489845035,42.28049344382317,38.257215649850366,41.502891928688584,42.88068872399634,39.06082277668552,38.201297333302776,41.41401143216612,39.3284298341621,42.20617688487029,41.76822321886668,43.759976758087404,41.246969754671504,36.47778913442247,39.3365384138601,38.76742873079107,35.42677728630723,34.246369468294894,38.3343930280801,35.08634403537669,30.72234878518731,33.1261186807221,35.89816637014984,32.39305531694902,28.873173222748182,25.105557924798756,25.41746536744061,21.269384383654035,24.35085119230849,21.06207458830353,24.488211795405046,23.62550672386168,19.148023333460532,20.389032351530986,20.326161445071445,22.55522934190298,26.802810828315565,26.72267388921517,30.65640958727765,29.174640027239537,30.14094094843759,34.671587090877814,36.665186445501895,37.30024663809319,32.44898504406453,33.25288653655103,35.8836973755258,32.98730332875165,29.04748467134753,32.01789642468338,34.89725988046319,36.574282922055936,37.96059899547545,39.44286738101986],[29.22160397997532,27.958564677531232,28.556626789009652,24.892410567365076,28.358481018885268,31.354560853530273,33.02729829081998,37.53760937271862,36.95794172114794,37.09338818689363,40.04431056754949,43.356093303782124,41.615436074303965,39.18495010605315,44.36722658068264,45.705071259019356,42.476115710921896,45.82872611632007,45.568537601011364,48.38540623543913,50.192389847863694,53.32772736288331,52.744913019749625,50.50208130391702,48.68591158978746,45.641011648317445,44.771413837556175,42.577749292083965,45.41565683781277,46.7950393972959,50.43337358017737,50.84583799879561,54.7642142270951,57.529149948371945,54.66049398012916,51.70716259774011,51.212311737819086,49.30192556636192,47.70721501274451,52.10275948462557,48.512123330901964,50.1727415537467,54.186321769652714,52.326266702382206,53.016394250018706,51.20487608715739,54.996126446999334,55.526194385681286,51.227541199014546,54.466171888411694,57.474917358030574,57.80937981856821,60.14611197714674,55.239674925309735,60.512978736472235,63.06881894023891,59.1180520832381,59.643387846296974,64.29342315695169,63.22523882451032,59.419780871315936,62.09953371945812,61.26763308177266,61.50540719165112,58.396744156000956,56.01810680262455,52.779130788267864,51.37158463178904,47.88118875323941,47.2210740048388,45.4039705166757,47.291338234607935,50.29556921508253,52.5962890528776,53.50756409112732,59.69055039487644,58.023938849693174,61.814765786516645,60.297410537883884,60.36295396105489,59.05134548844542,57.133316997716676,55.9865166862705,55.348408466979954,51.86317154091613,51.864274226663326,53.44391212133548,55.930356507626236,54.9619889488344,59.368011955504734,56.81296883486025,59.67221065077526,56.957564770450176,55.87403693254285,51.29324208646874,52.01768473539109,47.7510244638041,50.84387208925917,48.67782344097606,50.84668978396975,51.40211553810744,50.21101022428215,50.94191025223739,48.38759066977963,49.54711955322932,44.45802037675643,46.48481122934537,43.84578018502553,40.22459033573863,42.20346070880767,37.989002919555695,38.19365866871955,36.58115257866183,35.33830592266884,36.55975067066202,34.59657770393604,37.74741611290402,35.76619593516515,40.464626352100765,41.30223619133616,38.05171929397443,36.4866176353139,32.206534576053855,31.780254591479483,31.579438998734755,31.50488733537693,32.625156481962875,34.38331156144904,36.08316588738566,40.73752769242356,37.09375252198998,41.31402158966166,41.31129113305515,44.626818728448065,39.309805869783716,37.77335878661248,32.63226461215517,32.12808201855507,30.4920294809309,34.214469282134424,33.0107174043965,37.21377037479099,39.07635741422349,38.075616075923,41.66106888204146,42.60060150533232,39.61898825509904,40.80664013204714,40.91486865738655,39.7580004489468,41.512531648238344,42.39806163411763,46.67405766321299,46.95837781522362,47.99407902799082,48.18869455723249,45.7298109797288,45.649583773515154,45.705044234773915,43.89783302701009,41.517756705851454,44.601363467578224,40.40558292648527,45.19287980555503,42.73787826704238,38.048972335643164,39.98106804680055,38.68889124309372,36.488286906186495,34.34965587181721,36.727573596036144,36.787299671486224,41.87429713089665,44.60270756025051,47.05209040984605,48.98668071529867,48.858303583714545,53.65658897924764,51.85913211093669,51.994465131941276,48.500121267117194,45.766950579387526,47.63539835218596,48.35212490753751,45.66484634754446,49.06057276748053,48.50623090726113,51.60612597018004,48.67113217546779,48.68894844198534,47.512612682918814,46.97206839704555,44.499891454016584,42.37478005244084,42.15343808321737,40.77553526724013,36.871082777557916,38.82196627839395,36.227281061681026,37.951033933624274,39.49189453518619,40.821509571669516,37.33828418404547,35.153589096710974,38.705223699485344,37.09088657870143,31.199204869644905,34.42129176889892,39.04768780291054,33.878064028085454,32.23347198006611,35.56518578969166,35.866786943715766,31.19293912261023,31.99751228203569,30.043020055748457,35.58378682880496,30.774352665927225,33.738831451071974,37.45512366439583,40.4959677364842,43.625502522571075,44.86646611182182,47.42043675461884,46.667078707529825,49.73790346213048,48.75142982269942,50.96032094105655,48.39003996235446,43.456088498507995,46.4881558491233,47.21111302063581,42.443834830835605,41.61868207840638,44.3046681873301,41.286411658662495,37.49070596419388,38.65219880685542,37.356983588631564,42.21400446266181,45.26731339751318,45.610955804797335,49.091756713349795,52.1424835872619,51.01484344294382,46.40686433828994,47.8908563218069,50.02954413692866,45.77953652560712,43.644853254998964,46.70393886392744,45.83664177805944,41.78173078380124,44.935557413678765,46.40035406787755,42.64908282039838,41.65200659027057,44.77780283093117,42.60915052299787,45.42827736279552,44.986899140051214,46.79903596163673,44.27949588036604,39.619252948846324,42.30402504055382,41.56795924689854,38.30059677116324,37.08172727566836,40.87974846802753,37.528124072122786,33.343536236923825,35.57028101406508,38.061373367158,34.48355304444917,31.123135427286027,27.668692981131414,27.436745881717016,23.534647873525408,26.87382135220641,24.03649230185548,27.64726960420955,27.093091659631774,22.496092504850242,23.554346856971012,23.101663399685542,25.327038309228875,29.708067641926835,29.861664409514127,33.679510103332355,32.33159395308133,33.56195967338845,38.125742070323994,40.183243014512264,40.88360093148355,36.01779855767529,36.88016819251955,39.5653696097169,36.62857534655913,32.73996092384588,35.704221679162195,38.59477431951709,40.25722679214369,41.62087710167169,43.067171562271454],[31.846064409515417,30.299374850339113,30.29039645794969,26.137969691831152,28.884252078436464,32.14027300645541,33.20172161553461,37.770879963514716,37.01775945628498,36.519381519991676,39.44490003748903,43.003403957020886,40.70731798482654,38.10935519724413,43.173639024506066,44.46068658659467,40.870732665979354,43.86251733878672,43.06775408883169,45.9421346410319,47.40096631458285,50.439725213732636,49.5949076426933,47.17093730755474,45.635706454542536,42.74717968201967,42.206655588620585,40.35422463736124,43.513613468356795,45.32317175850878,48.86149812807472,49.667146111335754,53.63239443714092,56.0389322018956,53.106286075586276,49.875033117322324,49.68423584127815,47.236102811261595,45.52477058380069,49.84311969005511,45.881095829830784,47.51851510091704,51.47218332672096,49.391570074046726,49.76687810038192,47.79996411617927,51.53951565756882,52.38980181754754,48.159432947915185,51.404784919907634,54.609609860484106,55.15363150571273,57.54199992626508,52.72987319378461,58.20221469494368,60.422741502939736,56.3293130553173,57.161519112626344,61.71540120449375,60.294945636094795,56.55788290997893,59.341392668466185,58.75156188132858,58.66250360796238,55.47822601253037,53.39878268022707,50.094487352230615,49.045514524920776,45.43746654782266,45.18070998856369,43.17803542256657,44.99247165371697,48.14831952235475,50.113358015617976,51.355931935786685,57.41774685246845,55.71741665155301,59.71005295799706,58.16886178434132,58.09331926005407,57.104522151711436,55.11926315156144,54.419677332818026,53.65474435987886,49.98095551089117,50.08045788015781,51.34445754073161,54.19764192164589,52.88882895588652,57.5640700507278,54.92443777726708,57.745247144193854,55.26610437276227,54.49120687609866,50.041324188878676,50.92232290389246,46.75980016926111,50.00603331860737,48.115980797430126,50.756165801607594,50.767926522814186,49.977030795963444,50.18024427606583,47.99415871153561,48.90604179479485,44.04957100050615,46.34284118349169,43.69375081304489,40.38462676522302,42.30778612649545,38.190338662938764,37.780864064883744,36.22979636960825,34.41820238605636,35.338348340536164,32.94620546254079,35.768408330614086,33.33210509611389,37.77745240912484,39.1254713377279,35.928843167102315,34.77558942519165,30.369146496364888,30.43120134635186,30.83649119855512,30.612615481993174,32.62789285973292,33.94855945825682,35.808193135128356,40.22043898360961,36.70503271325777,41.00555728538339,40.47132440295648,43.833683925182264,38.2480775835574,36.670042722026494,31.701835268007887,30.737635679132495,28.752373242883298,32.26315473920435,30.33915219383674,34.22364527290621,36.37907140477119,35.765017845857834,39.35469893295639,40.67931687751641,37.86912863658625,39.53270865361192,40.031195423095916,39.2776812575267,41.481071112164535,42.594357485599645,47.08602651877531,47.753211279899475,48.32737736658591,48.22329523003055,45.42112568612569,45.41462281359157,44.96252457646576,43.24126248022528,40.30016415157022,43.00745189933254,38.46389954716537,43.195876597370365,40.574450818519566,35.678690472191946,37.893606744107586,36.297007271342444,34.53825422576101,32.37892415702339,35.03378249122133,35.04004518578769,40.16699527072226,43.05218516523883,45.600251716085936,47.88012192797658,47.67253991335013,52.57275452213672,50.41098686027769,50.76010821674325,46.91631808027841,44.718603103710606,46.40214419097436,46.90417242148404,44.04499533283743,47.0222630347313,46.229411812548165,49.13658994540905,45.97870596040167,46.26675298168988,45.18288156822665,44.995174197461424,42.75354754957727,40.9475544383909,41.07526434432965,40.04369780579084,36.326859474470275,38.7330628253162,36.628649529607735,38.40861973028798,40.46301889338583,41.858007902813185,38.227763574333686,36.440419211594545,40.30543538693003,38.68053885863865,32.87020587130997,36.46539772733961,41.19703039979566,36.04294016156358,34.723477603581664,38.29514582085902,38.44728508206439,33.91646620486148,35.14076815504114,33.00221397237844,38.75474524583343,33.726457557764455,36.36477342858941,40.28031265918149,43.14373788883119,46.60713196115543,47.49080781430344,49.77601310484121,48.64983123716994,51.47778204242034,50.16880721387383,52.23438103497604,49.93514687473226,44.82800411428098,47.49764660243365,48.23277326848848,43.591316889461815,42.45438555930982,44.76811838132987,41.98359789429587,38.34778449577778,38.797174336164154,38.09397835060519,42.59398206582382,45.898629300039296,46.69495204816913,50.03733778895774,53.411388922179185,51.97199378662347,47.37999610061859,49.393917554218994,51.42722510859164,47.02852715406862,45.27375747718283,48.59207599234408,47.722976010128185,43.78196053690195,47.208527489852415,48.795858370204584,45.095010934250226,44.290050117649606,47.509486380259474,45.21360619007107,47.792842810674976,46.954394999284766,48.80700342670443,46.69986693230969,41.7931176209839,44.13457740964261,43.724002954468176,40.584196356900186,38.81512709747254,42.67769636028911,39.75041398206997,35.334283216935724,37.006839949260645,39.78688350714076,36.55983876094001,33.08521160071915,29.753089224749846,29.74387287483433,26.10853290877536,29.841787945758288,26.75086975255787,29.99880570880618,29.362835805874415,24.879797119361786,25.445326192780716,24.868328668912994,26.522141562125185,31.028449495227324,30.69718009798976,34.18256545189939,32.578145145544276,34.60314104953558,39.02582351731687,41.45689955938108,41.92321079025672,37.11177013428669,38.57076989499518,41.210147514205076,37.77364397558589,34.40850011365545,37.838236716028966,40.84951354832223,42.52166749272254,43.85687987946517,45.39213323287634],[33.02506185419281,31.865251000904824,32.326978072652466,27.832619053000833,30.99063015315773,33.50587740368134,34.43943122019847,38.927992397563386,37.62260638117951,36.99578535264788,39.61677902449046,43.35623678141452,41.29662068911307,38.252286308907706,43.23694791344887,44.83324549485795,41.354791347093744,44.185433874207384,43.28597905401175,46.520658637966946,47.833861390660104,51.13507355409841,50.10998648911814,47.79534432674431,46.47451307678275,43.369746329660074,43.133842237592475,41.16775910718253,44.23986650929273,46.12494281626747,49.08706111085611,50.30898556127311,54.06619681596871,56.4346346459409,53.77225117687245,50.539068738668604,50.704226385398634,48.32572947492958,46.8603416906727,51.523901455720456,47.384404912598164,48.569983263133494,52.64781568584438,50.721220538374666,50.95179306537206,49.15239514350819,52.90815145216834,53.83863571125926,49.86589729787157,53.34515678376992,56.44274110958211,57.11439816830119,59.34465425494672,54.428398219466864,59.823478690929875,61.93053918413147,57.66177389488418,58.349883907926696,62.88878110907956,61.44814223300579,57.45410289745023,59.950950245531864,59.24204961821238,58.92035075368416,55.97147019334849,53.98368988537124,50.24301485343079,49.20675425857816,45.26696567951569,44.90483610745199,42.704240615916454,44.156007904847606,47.58843453542488,49.71306281377396,51.24798358069404,57.323438298239566,56.02214500295725,60.030157206639,58.79438254085245,58.985555800168285,58.24641005186482,56.5805573667195,55.970230170699786,55.527005652291294,51.81798171871896,51.56612850103783,52.51426334462653,55.290100724516826,53.61223042658464,58.10539500855808,55.17450189297999,57.67958874090159,55.16577926309478,54.49355848478164,50.09548076393495,50.68679780997092,46.57588148220495,50.27081993288975,48.56746770749161,51.401523885653866,51.6412103322836,51.27962441948287,51.560226164212736,49.752547880608475,51.04717850538659,46.27564228479607,48.860891229008956,46.48233899464764,43.096529193274655,44.67778276267749,40.37554355823228,39.756597570631406,37.74666501666231,35.936617747937504,36.28178070034395,33.94049755476167,36.510862076404905,34.09504005228169,38.0403063520249,39.374834439210474,36.02731080573617,35.00214675649874,30.85850715816295,31.220450379514862,31.817695728020173,32.26916874289644,34.53979708526864,36.152826066838564,38.329049410535596,42.829636054527896,39.71871672485135,44.14834517940608,43.60045808446843,46.682598031531455,41.08520069707184,39.13094474651099,34.49612083810088,33.047897011169546,30.670668420017673,34.052753279616006,31.82265293660334,35.63059590406665,37.5083808342425,37.10492020732593,40.75980570875459,41.871158113241705,39.137709439289374,40.78165125237097,41.52336015433583,40.5273139313745,42.982503284152784,43.653642847290406,48.33146319501393,48.59686863926591,49.003604165458455,49.185744310553204,46.37541232691886,46.778629947123164,46.167490915253076,44.987844112698525,42.143156177604524,44.5282541899232,40.20251039652189,44.99215571830836,42.772204478506616,37.970918937272366,40.58744553661377,39.14948562135348,37.61765692875003,35.156135194389584,37.79288888362236,37.403034645969704,42.45155979550437,45.187940288287415,47.505893185861815,49.752998873248266,49.14857647554743,54.26620213875956,52.25150552721414,52.83230282593748,49.16291324303221,47.041302213064576,49.08369807389212,49.740541859805994,46.74268533467655,49.40353045533266,48.26916665038762,51.37570979703596,48.2514455482274,48.86960916234706,48.01724729574643,47.8781099586597,45.899238625716166,44.17763194534287,44.447271944619786,43.625979792260026,39.778886430482316,42.22224791937838,40.085974722719065,41.52639427015951,43.754538248650206,44.81711713851078,41.061563473224275,39.56614128772949,43.34863926035988,41.352085690535866,35.675307963632136,39.40845786752077,43.848497377176756,38.3942694365971,37.22540371564578,40.746071984859455,40.50671891031804,35.90491745606645,37.37550305495734,35.552595408732145,41.33423856542518,36.86306429433644,39.48652904781661,43.32847168595716,46.51423849010627,49.887968243823764,51.0005081322537,53.21429996273646,52.17256329824689,55.03333491309144,53.615604062498264,55.912525006686955,53.689951196273505,48.44268088429755,51.15101029896424,52.13626645424839,47.484810440881674,46.23420382223883,48.63769842213968,46.0623056930229,42.32901357359371,42.62847341734221,41.72517750252007,46.02104698397561,49.383213936067314,50.02350212404229,53.21867283464888,56.49758323168478,54.86456103589463,50.376967641456716,52.32744265011562,54.10173149210504,49.59996149855553,47.98390331643238,51.09094203857098,49.988132711668044,46.14888174956224,49.74704022357931,51.065637042600514,47.123917381012895,46.64857620984039,50.007674643142884,47.938110969397094,50.69823129068048,49.94691997801886,52.0420186278271,49.8477590111994,44.865160948557474,47.47452328200412,47.182304476060345,43.93763435353469,42.29705881468971,46.40669266480709,43.458058615754574,38.9593761934248,40.829337559518066,43.7558626561688,40.482717980320686,36.941126079966274,33.3705451458251,33.58482781881217,29.719806559696842,33.166137955641794,29.812283476055157,32.98643228022468,31.848829812630793,27.55274856198233,28.475031659899575,28.32966006097611,30.006742996773905,34.41256012553041,33.65579962183144,37.224445676975286,35.1866021837586,37.044852029226746,41.3156215932613,43.74318799458849,43.76365280253352,39.03682784666878,40.55758629343894,42.848163653492726,39.211593354872875,35.98441514698766,39.504306697354025,42.22901690311444,43.81713739981377,45.143712210725774,46.63868662874175],[37.502801173895726,36.270520039416546,36.47330509628794,31.76372613151938,34.47779371912826,37.04735172650379,37.546961102747254,41.9984467595654,40.4731135776599,39.3423357963487,41.81578486204631,45.752755188189866,43.33078414829034,40.06497915218641,44.84404955512191,46.46672646937064,42.73840180314122,45.1315274733805,43.65500678803185,47.016041681517095,47.885898410594855,51.11034359630473,49.73845024350215,47.25291578116352,46.35142535496635,43.41727267552197,43.634331546707415,42.03428309067354,45.36063958041513,47.64800304511423,50.32372401826704,52.01051712663638,55.7168858330637,57.726981868319086,55.1021836728918,51.63489676022888,52.17314298750858,49.3153394993557,47.79641219389079,52.37707846398193,47.86433921220129,48.925188233144155,52.91437903174991,50.78339592124884,50.605391039861914,48.65327367453007,52.30291457885097,53.6454051498445,49.825285395166475,53.290448563617545,56.58656067003373,57.5048657983237,59.76004700828273,54.986853114095766,60.5338566123427,62.24266231212025,57.82446289109965,58.82142060881447,63.21580919526731,61.383214171396645,57.44824155374871,59.97207833498908,59.505029007545026,58.74986300921831,55.80941094762957,54.20393537672321,50.29767210214771,49.66879619701076,45.53700656237865,45.56434337634937,43.12319528253414,44.31787313334898,47.99226674652366,49.797550617212295,51.779611616507786,57.67441558352,56.48170944484553,60.67001802444382,59.50604947702027,59.61588342684195,59.266666187292024,57.60495387783894,57.45030530937596,56.931747071216236,53.07144330811695,52.87183004074928,53.44048031807457,56.53566191731931,54.451869658821245,59.125772020434596,56.05139368560447,58.39367981565765,56.121187177426314,55.78188672385692,51.563600526575655,52.19192664580493,48.23627019991543,52.16580055364203,50.763068283657745,53.992582192479546,53.85246608275978,53.901059835894706,53.76784948324804,52.33177253148555,53.453905988828666,48.91968233309234,51.69259061290145,49.326030965655015,46.200878344395235,47.72723103396894,43.52875221573982,42.45309823528172,40.46499070894209,38.23750007378084,38.215395989716384,35.54990736958897,37.69124373903666,34.86963078369151,38.30829598578477,40.16026051168655,36.88398788164043,36.32776035638769,32.24180068308382,33.119740989439826,34.25013176500112,34.68642272311829,37.61443785581104,38.903501254128905,41.17768583715605,45.43534636735719,42.44606994385397,46.86988199633457,45.902595142046174,49.01128183579806,43.259557570715096,41.30701964004926,36.89217607120303,35.09157577747625,32.43499644382802,35.51113660709099,32.55687417320908,35.892052211988066,38.010772740985736,38.0710745669859,41.67260755717837,43.11416619762181,40.60569733454047,42.65389407604667,43.76087433434321,43.063939666937536,45.86940458745051,46.62358474986979,51.44354610785757,51.89041032134432,51.936288377545466,51.963210937499184,48.91760009314402,49.451442512833886,48.41402341372664,47.40307481965482,44.134752490339764,46.10359145000423,41.54175542552168,46.211675116083214,43.89286822041721,38.96482382545221,41.82184447323671,40.071742767005475,39.00732149659753,36.606183718682274,39.45819052650911,39.02976185355041,44.02729528172287,46.86456692481517,49.22441284366911,51.75236559059475,51.031082767011526,56.21929561069615,53.91444786656468,54.70589272320822,50.766931028877984,49.15533982894224,51.01514479371245,51.4603301931005,48.34125498542776,50.55951425252684,49.17687611775083,52.04832103995537,48.6954725970048,49.606752241238986,48.85456070937867,49.08283424210046,47.33491085788482,45.935343754677874,46.49289610364146,45.93019560755116,42.319519706688354,45.070737945892766,43.303532586389494,44.82199178422796,47.33046485530971,48.467957084177726,44.65968661323925,43.37635026690469,47.31539187310245,45.35659406366037,39.74760889969611,43.62393463993778,48.12330672540444,42.710598611091875,41.68171046630911,45.28930269215292,44.996225319559144,40.46706568925814,42.07883426488907,40.17849071582797,46.01317242527913,41.37196799055974,43.901830360344455,47.82083630515763,50.85036249851916,54.33397602051906,55.267286314970306,57.41280914592841,56.191673676740756,58.919018818964936,57.36716086315295,59.508375581616846,57.40911182563035,52.143393529318736,54.6232387767442,55.514357736242424,50.959562277934516,49.58468260781101,51.70257288849409,49.184679551068506,45.62968243979457,45.53938957189189,45.097105646213414,49.17687497518233,52.67167962723245,53.625276870420514,56.7434496636663,60.2205746079553,58.41719046914965,53.95440651781498,56.21630639495683,57.9358626555081,53.368613342398525,51.97353331741422,55.21439308344771,54.11353104494723,50.351076947483435,54.06679129371758,55.44277478555899,51.53078513640162,51.145233537199175,54.53010722926695,52.39557539427951,55.02772253176691,54.0812435310851,56.149995223467876,54.16162717536752,49.10039205664391,51.48814510597479,51.311390738907654,48.15805190147821,46.24757619368857,50.28330907769328,47.51549731789103,42.98595811200664,44.52173503848316,47.47781556709059,44.364186327376636,40.844989593602065,37.45252797828338,37.58259907103157,33.933576634218404,37.59979523732888,34.28555100142829,37.34816393220571,36.239217725024524,31.993936053697915,32.66979818396262,32.375024644913765,33.77807203468571,38.2302463646774,37.28279575217777,40.6007686417594,38.443677715638096,40.77813454452736,44.92822263814145,47.562532010463904,47.42024960738962,42.76532482889052,44.61654204530149,46.83907782720604,42.91906387772146,40.032539478499864,43.76859829578201,46.51122177714993,48.07308342002234,49.36327297304625,50.87001058984521],[33.942116295920286,32.9497536675443,33.45711531144829,28.509181076480058,31.592544572811107,33.46928777002485,33.957203651609554,38.30495447756044,36.44748720136269,35.42397800457007,37.72108642124389,41.67092730506167,39.61012383126943,36.15141236894936,40.9473341144213,42.77491236229751,39.31528971032522,41.85126562359554,40.73232244443066,44.27862895323201,45.380376572156095,48.89077816403102,47.676748318092166,45.48099378766839,44.39738927542647,41.128345642104705,41.2443208066755,39.263115271231605,42.29622052020636,44.36218383055581,46.73782741146838,48.45642977681045,52.0110930962316,54.20107412705809,51.78216370032118,48.49102249170031,49.08013514520229,46.64226866324546,45.41331810882901,50.37357967194972,46.02537233364094,46.7313496467627,50.892871580738614,49.1172487126796,49.18202424794889,47.583054591612466,51.3287904091004,52.32749856795853,48.67712387034896,52.39946585352788,55.35115488378601,56.174760900372966,58.21716024829355,53.232089576395765,58.540097275504095,60.46658805728103,56.02187930679114,56.598547970085264,61.082134666511514,59.588613408793734,55.36697473413333,57.58472169512118,56.80851156938262,56.22503034738134,53.498530019644186,51.65266033097628,47.527840328542794,46.58418106314642,42.3603637225783,42.01614593178622,39.618474080803686,40.74379446681171,44.40976005333089,46.56625437587596,48.41748990415082,54.433747871585716,53.48048615987145,57.52568639913383,56.569220552892,56.97844493924483,56.5608570270134,55.21031608304686,54.81038243588221,54.67109104302795,50.909373032871926,50.318548343603055,50.86336182905179,53.63528339895814,51.52872567198946,55.89423552818422,52.69789800658674,54.9029683200888,52.44800603115043,51.97155105770308,47.701582792857685,48.10654046955133,44.11955100441933,48.21768788388913,46.80962086131123,49.99431507069217,50.196310087877585,50.40458442419727,50.54102331173017,49.26873914464133,50.84567654497563,46.30578925466976,49.27727165788884,47.222586272910156,43.922992349684854,45.09076783526826,40.70363150137285,39.62087442477871,37.2180611901892,35.219155366130295,34.89013379899689,32.500111811923446,34.67840640918124,32.211491596441554,35.55839422092489,36.97801873779252,33.56090858607487,32.798621266976795,28.94752648250805,29.753174208230334,30.752383546244534,31.785270534595902,34.61829231847769,36.31151052899268,38.84342718142434,43.27778610123183,40.720896102616294,45.27337835506908,44.540073545136856,47.26181247469659,41.640261573821526,39.27328154886259,35.14966539972971,33.05647860492274,30.22210709313607,33.332750377413305,30.684950526868917,34.29365151899522,35.88092119159606,35.77060866661414,39.434484905650805,40.40412216717848,37.836585529163465,39.5846779279514,40.69288905590242,39.639168453740176,42.48911452287167,42.845838523311734,47.735177242576675,47.837512258739835,47.85439690761133,48.14141764192355,45.201784744564186,46.01296742323744,45.04844810862476,44.44525004931736,41.540898559712375,43.446753865965206,39.31558685488709,44.086509080591995,42.29776874088283,37.64619974798614,40.739172987969596,39.49111193298435,38.32199144262245,35.5211329136579,38.14010743607733,37.2866597955459,42.17626509801144,44.75537071220803,46.82692114818349,49.121703861980514,48.095880566850425,53.41499351612365,51.454967132842754,52.34064718419255,48.79852357332398,46.938732218754105,49.309602679584245,50.08998235367759,46.917677213764705,49.096570012561706,47.54066474650068,50.82192882894465,47.76018421911064,48.789938141963795,48.25149643294753,48.21471042011365,46.6282350287378,45.091694394285014,45.62438082675785,45.18980989649379,41.267435780091525,43.8840310595289,41.931510892775215,42.964313633924704,45.61255536629138,46.305683355461525,42.38715025717878,41.44620179012645,45.25487943544692,42.86878019951058,37.473970594926584,41.51703691057037,45.64626230887849,39.96844427653876,39.1804179327245,42.76226863045674,42.0348140396712,37.540026865041256,39.52608812223505,37.912571087622105,43.81453214121889,39.87309284063481,42.19227356225646,46.053428719327606,49.489898727225054,53.01289840930838,54.12857190256827,56.01152785824651,54.83228304690161,57.56287978604324,55.81637279042304,58.33052954259304,56.39395971675762,50.88281595217585,53.42694003846914,54.77869867885921,50.214978036531264,48.64401543291398,50.98769089184243,48.876632886648956,45.09225616017904,44.84572512169469,43.92821444645626,47.747049756210885,51.26250688099302,51.920242686907805,54.83695356687683,58.14675779923807,56.137211396906885,51.8157884336859,53.959745902967036,55.372372533887585,50.721794246631674,49.48338891838632,52.48861593865878,51.15536876762019,47.530474537882114,51.44312911854328,52.553825597399864,48.44764379098577,48.436510638796,51.97685274090115,50.078678232192345,52.85140499579621,51.946806830933326,54.34158896749032,52.33573806704976,47.138376820495644,49.83169138481182,49.909206966014665,46.64282247211286,44.82875857804139,49.284431730513994,46.628181228538374,41.88677898265055,43.67678898266954,46.99746951425094,43.93346167039522,40.22788949104293,36.432084181948476,37.18015042858879,33.20968362980499,36.495122434169424,32.66454657885941,35.445323910907746,33.7499796871474,29.826019006949306,30.806903345824946,31.094985615673288,32.45081449216494,36.70295046307968,35.227677327446415,38.66272034396036,36.07232579575205,38.10261811254121,42.07092782890583,44.65418391175159,44.11365022852584,39.576253063333674,41.46063762978117,43.359983271031076,39.31441266406197,36.57084910837019,40.39087553681648,42.897338610877426,44.40120494298709,45.69417121236958,47.20254644533394],[30.829969045647875,29.47237864582267,29.58031023232932,24.808403615230038,27.64063648349018,30.138865682368444,30.791945921663928,35.27566347314233,33.937658554770636,33.11453940200833,35.768631619218205,39.54236480512207,37.31022066784755,34.29483753012893,39.269048119407834,40.805406732943744,37.271136043256455,40.10318846016022,39.24634378273085,42.44473935407151,43.827868579028845,47.147130507248974,46.205796552869224,43.96033318002228,42.533626220434044,39.37452403247205,39.072175522390474,37.060875544737065,40.127084017334475,42.032899020826164,45.04042801910764,46.26050536537076,50.04544546633044,52.371988433014785,49.678452134476764,46.43180578664701,46.6042475923917,44.221164729381194,42.78757802576975,47.521895516925404,43.411059207573295,44.53821990855655,48.64644472086618,46.80277853616624,47.12944338168814,45.44371043882612,49.236025783140555,50.022424797560156,46.096786158581345,49.664272033824155,52.63687960156678,53.28221277608292,55.44609549843485,50.47447204499677,55.81794390826899,57.97153781075172,53.70359941311702,54.303602260766176,58.86301688635089,57.509854656633586,53.47123131697817,55.94232172875212,55.194337467514465,54.9575768762716,52.00326753888304,49.942734274384094,46.25150849278177,45.16462940222423,41.29332126063149,40.93641492777651,38.79228441877182,40.3741127550146,43.70615587269419,45.80868006415697,47.24743409340106,53.3327851888915,51.96426999192654,55.96066886837225,54.697631861516896,54.894106240266645,54.14278590514024,52.51312130069314,51.909229204112556,51.526535658619416,47.816121158379474,47.49352047695327,48.41818919485362,51.182650932090496,49.5058906037011,54.00936919820526,51.109359533967684,53.672348402788124,51.174661257973156,50.50883513147824,46.11816325689297,46.80412224213972,42.701819071446685,46.33251031521304,44.67023420062689,47.618420086759315,47.6839162597322,47.428311252324725,47.58197608436252,45.90430962950252,47.21948113908126,42.535996698322286,45.27569277309077,43.01780841697767,39.70844729683083,41.13483313763873,36.835636117232525,35.97894732969729,33.91916437888097,31.977371294513706,32.22939223119327,29.840897397702772,32.39508057627749,29.99987948852934,34.01328238804723,35.300574856750124,31.969775776623433,30.938743439869054,26.755992813026666,27.158334969160308,27.87878539399076,28.352070166275286,30.90531959341496,32.44766357885799,34.760183899007224,39.215675457534886,36.35135356688028,40.85299053454763,40.214465245065675,43.122429645913456,37.50998337907765,35.378248003113,30.94598055125207,29.235454941903022,26.720581762328155,30.063704405036756,27.849301992764428,31.731362569363903,33.482195658385095,33.04375480890911,36.708533172317836,37.77001727052145,35.046838717701405,36.725362790686106,37.55072895092927,36.632562658393475,39.23139508680109,39.966969393130796,44.71138639553786,45.15933791664247,45.37872391060515,45.425632654173256,42.51174125134625,42.940825076726114,42.19191881586006,41.08765849981945,38.17627390164466,40.46913315088352,36.189439203655446,40.99043826234144,38.9174141920155,34.19920172282734,36.96930896271558,35.720721087215026,34.25403666462247,31.590326073076223,34.17608813445847,33.59117974686909,38.593277735964236,41.27144752530273,43.52488657207887,45.79069734867115,45.113297001400596,50.26815970419434,48.250241368482605,48.90207067021955,45.27835997719639,43.216800314280036,45.39065609542629,46.12773755449407,43.066596176989364,45.60943071719775,44.37560004278376,47.60189482074236,44.58458241415869,45.29181740424538,44.563718863648724,44.3734104718739,42.54463468166271,40.85389333267428,41.23072983234515,40.62190165262087,36.69327121259766,39.244449713983094,37.24805621008492,38.46091812775894,41.00315021088787,41.88962622065196,38.030290490293,36.904433596479706,40.784775006268184,38.616809164466794,33.10653371410747,37.11375240781359,41.44882894050997,35.94475058263725,35.0820236523887,38.74558131141111,38.27367557243549,33.81902603629581,35.709143999540665,33.850364772645094,39.79655099965835,35.51393272011071,37.7715053340498,41.71108886775789,44.976587843948835,48.62235537665228,49.56606459655852,51.427130431070296,50.16652234376566,52.8687017687522,51.1579042479249,53.57129606644662,51.61056827837673,46.134566010749865,48.66762661567622,49.93495066778757,45.36652443422772,43.82851721721979,46.16785589891456,43.99618947277312,40.219244783513346,40.04845902978587,39.15936672624044,43.109054860583676,46.591735103550754,47.312364446320395,50.32820119654473,53.697736263260715,51.815115928423715,47.4071907940142,49.59086892695698,51.182765288090344,46.58403536204421,45.24228255319407,48.41387519843647,47.245824522262204,43.53077715354665,47.355327554153384,48.672431775679925,44.73419499756636,44.495820308055194,47.963107835513,45.89499993917365,48.53754712510828,47.5474134556565,49.81437968763467,47.890216344525285,42.693860467836515,45.22763852124497,45.28155017730567,42.07106548025547,40.14190970100731,44.52031098345342,41.93071362526913,37.17158114244952,38.8533300116541,42.18222166667045,39.191226842176924,35.46758759968696,31.735134902081057,32.524389634069635,28.650318264091197,32.088891745685416,28.2768319980266,31.030410188383623,29.603583804292725,25.55947767891975,26.29667035589922,26.39797767972932,27.69939644417679,32.01244799662705,30.73958810839218,34.16921207281883,31.843182091120063,33.96744822659303,38.0860894295686,40.68248582734344,40.492331956183264,35.84011053027475,37.6929128072603,39.894589552945845,35.98517909261652,33.08984984154174,36.892077142543876,39.671483675057786,41.26982466116159,42.59753171629578,44.168508684010455],[35.905699073567845,34.278332228347175,33.81885084719534,28.97853077642667,30.958167348130413,33.90895207083422,34.02239917558652,38.475465959823815,37.144036010870096,35.689819872061996,38.30584663861985,42.24119712160427,39.36650967701762,36.30641352965428,41.033425719239084,42.421405497464534,38.466329465625925,40.77579529316173,39.161047065184064,42.32582692949718,43.17764882227182,46.24149564345417,44.920627056423015,42.358510993239925,41.38074608265209,38.57875935767492,38.73548687568669,37.31307956286722,40.80265410259611,43.23652816669908,46.18723628074059,47.80966665173501,51.645084594329404,53.49702602311278,50.692933881879256,47.11676127291529,47.60316197788256,44.49832015122105,42.840190808884806,47.26525359585192,42.71673426671869,43.94052593908513,47.861631337776956,45.63626891280627,45.47999605201078,43.47569348400328,47.138612425489086,48.444620909421346,44.56584168324285,48.00053771327073,51.318679522386276,52.238760413132525,54.5291242184722,49.80271286047769,55.4137919430297,57.08422106748388,52.69978812951008,53.81605597268104,58.192948974485724,56.30859453793046,52.49065789363816,55.180112470945794,54.834690814566656,54.14355939192649,51.046399476644716,49.45454016704531,45.791184566185606,45.26296309790585,41.318735248504964,41.57647493494623,39.2168606104339,40.67780003328964,44.17378234340045,45.734794652838424,47.61415916998292,53.45275615522985,51.98668391727477,56.229617301544764,54.87966225259803,54.80351415479738,54.445811297660015,52.63372393198513,52.61663226478544,51.94306021773758,48.0372891277024,47.98950154718901,48.56579658513015,51.82744964390292,49.80022383985554,54.668682176628096,51.74342588758588,54.276289392448575,52.13139233527464,51.86376740429865,47.69159407570123,48.602268151798306,44.68773133099666,48.3746866091734,47.02300959129896,50.404539326333534,49.81029746835203,49.881965839622545,49.4112870747323,48.04442427295069,48.90152043696283,44.513707760541564,47.354163489203465,44.97421510590657,42.086446351074365,43.61366620581988,39.58008784241094,38.19193135054578,36.42746896631167,33.890708304760466,33.9428730388668,31.053915672004297,33.13120221622626,30.123614141805298,33.73001481674499,35.777918332176604,32.633935109746126,32.20263924787895,27.9425040357346,28.923239126359732,30.306268233453157,30.3690822930926,33.72117686874976,34.62594375270083,36.896901840660675,40.939348693095376,38.04091367713716,42.45176369045239,41.220589544294796,44.31218706928208,38.49051941823903,36.5709607506685,32.2975854701186,30.330590677291944,27.62167105433546,30.581119901480402,27.454649551450625,30.710602104256246,32.99574382499966,33.10839084659816,36.66997523538286,38.338296585985276,35.89138800525819,38.166194369754855,39.37320305163906,39.02271206120371,41.96733788914465,43.06372804839999,47.88657781956279,48.800928033780515,48.6247137270767,48.294432916326365,45.06266787922025,45.441286955549494,44.18348355421435,43.012600730768874,39.444521654358816,41.32401686613211,36.572160940263174,41.175876811240244,38.7341311939183,33.76177466725995,36.675960902072426,34.89082987860515,33.98268182597262,31.554997543751735,34.471549151377,34.04117773301995,39.016482583140856,41.920744533769955,44.36366258562038,47.04738687005368,46.43077272281238,51.56019920982366,49.04717498994612,49.866319010813996,45.76226385352931,44.385540916199616,46.100791331956145,46.45453173162764,43.293625993727076,45.38130507126243,43.98403227115303,46.77616191810104,43.407819380863565,44.354362758114,43.63773347145146,43.942260487501976,42.30351939016729,41.02791907027128,41.743508350149504,41.400630084309974,37.886523117471896,40.85177781335997,39.406749013190975,40.9000623910857,43.73563566224902,44.8949053656135,41.04679889782141,40.07076752149453,44.18959369905329,42.27809661898223,36.82508710694248,40.927812247678624,45.4723237732456,40.20889228510845,39.455816151714714,43.239442822802225,42.902864411185305,38.5973345264295,40.52671613633867,38.41826820115544,44.389643953075705,39.613879425066024,41.75348611010964,45.81464496959299,48.69688991905543,52.53571954511621,53.10866856773409,54.902409196991485,53.36070713820604,55.85380742443023,54.01558128070451,56.09049473810936,54.27192158611564,48.85721417683079,51.04052042298418,52.05073496078632,47.639461240636166,45.98724988720492,47.87358735071508,45.69228127214082,42.22271867027561,41.57245079986321,41.43999744377102,45.170580141051566,48.797397685844324,50.035046029016506,53.00670989809949,56.689950773831804,54.67863627101493,50.26693182197486,52.90825434530709,54.55722234657682,49.93800088642319,48.83197183260269,52.28568629703429,51.24744168343164,47.59612342735054,51.47443023118986,53.004980261423555,49.244984773954926,48.9529134230489,52.36997542464762,50.1062043091395,52.47424613003673,51.17841728711434,53.275995912379884,51.683292094576124,46.44108305300656,48.52407327786504,48.6752446812381,45.65510733658258,43.30212187155332,47.43479104152033,45.11433759328775,40.37751297192616,41.491115005668334,44.77513684743483,42.03771665508091,38.396237769861905,35.04638661989359,35.59536417772489,32.145613276936196,36.00278279587901,32.414434701180674,35.051739304256344,33.93413897342892,29.889410158103676,30.116087652829393,29.789146570581106,30.694060410732302,35.0875512619555,33.778939158594355,36.78482549888765,34.53334398048243,37.40305519796601,41.41470280712452,44.28711160944179,44.10587452212953,39.527613919196696,41.79322860464841,44.08248873579612,39.90596241080901,37.41125651690021,41.42933693300629,44.36684973649276,45.98215051545289,47.266155303216586,48.86772597827497],[36.40840213382857,35.041294482819985,34.81484630698046,29.633959235965087,31.757373889711257,33.952022131705135,33.75737974295902,38.04296519862775,36.15598380141447,34.43080209650262,36.694867447994774,40.80160062784646,38.068242451416054,34.583596702304725,39.13200215127673,40.794483097798704,36.94694297853961,39.014557892064495,37.27399838964728,40.79251650826803,41.487869287320756,44.823292837527845,43.34429071576207,40.960315254211345,40.188976633377386,37.15156624500792,37.6341292417613,36.10436833289996,39.471857985493635,42.00247287385217,44.31922773406059,46.40233114277131,50.00230096278805,51.748169504941146,49.23179476510029,45.65770415637095,46.54447843290328,43.5117389213178,42.151438038345674,46.93582315364717,42.247703268946374,42.9283332141291,46.96585517182397,44.967214016789555,44.702176569891705,42.96642817058897,46.632171401235034,47.936189536661445,44.40501478660565,48.11478401991667,51.217013552945666,52.25306541218347,54.321240014063754,49.488979215676515,54.95293349968312,56.50887095472034,51.95766327683491,52.868978621624386,57.21212840581336,55.35539472012521,51.25548801579233,53.602894828534644,53.119960933143105,52.2098867210253,49.380033638553506,47.87456970324315,43.7765513931383,43.26771372181006,39.014062057779356,39.198520318610406,36.64911477458454,37.754645981139035,41.49364737713107,43.173933562165864,45.343239588300946,51.15514730729012,50.09208437740239,54.33422323139981,53.305357631863366,53.513212757023155,53.4342076664049,51.993630470006266,52.09225438709855,51.79391066486559,47.8782146007907,47.42339155894632,47.62775919593299,50.7909137257099,48.365798111631975,53.027144665270725,49.818317755687715,52.02440353707031,49.88408995858274,49.7606754767461,45.69536774992577,46.35842053218952,42.552786617128554,46.655115079616124,45.55979620823146,49.204901439264724,48.714760913722785,49.307316407014795,48.821873819139704,47.943458868608516,49.182539816219695,44.979808414020624,48.16439630697239,46.13570933120077,43.24772755490513,44.34722557580045,40.19079274197317,38.475649083048246,36.26104009569122,33.672943190747915,33.05211245822508,30.219154980421408,31.936887132180136,28.980230350628826,31.956553368527292,33.985592892084014,30.74100882577185,30.513682243954133,26.613563060944447,27.977701483490023,29.651640196083328,30.40176126491928,34.11490548707152,35.23761109692885,37.84910193673233,41.891869215358064,39.55525587144176,44.07427167293694,42.80279958464262,45.48772105941103,39.72246154499811,37.361892426976425,33.59531754433938,31.057800665179723,27.939733758385184,30.650713620380884,27.248122889909652,30.36039901221837,32.22546045447635,32.57562264857867,36.14893099419191,37.55308108382686,35.247263674020914,37.512244793810865,39.02314461746984,38.496611832143905,41.75209670526312,42.441055965442,47.43735630314394,48.0678972958867,47.59257072292912,47.45933740637628,44.17742694891893,44.98551257424064,43.47628364692328,42.919578120228216,39.44184395030324,40.889153184130265,36.45118717312139,41.05019617508228,39.14154721051945,34.40155170104733,37.76413485409526,36.283226759940014,35.64553022897328,32.854443229493896,35.66290849284984,34.73251296897109,39.5168324400919,42.20202304774128,44.34214650087457,46.983336018593796,45.91898349538123,51.247001716286285,48.894616236019665,49.993439402566764,46.12832332088323,44.88993788904368,47.018604494863744,47.56914104420205,44.26804247300159,45.93829974607674,44.13484815961808,47.1752756767953,43.93945868973947,45.27298462158084,44.879776391980215,45.19495799576602,43.92406671753312,42.758650511418345,43.65163926291963,43.616762313800066,39.96887617315296,42.97866600562406,41.57603300363313,42.62377585599899,45.745706755807895,46.49807933792455,42.51999988998403,42.003394246481186,46.05666970660131,43.73964140059848,38.54854585729954,42.86201115792919,47.05599095430009,41.54889935675761,41.087177364266154,44.862203436575705,44.066513788707645,39.82050466674496,42.147565891156866,40.31092306788905,46.34543380757951,42.1668164022237,44.11220484045995,48.134016593474286,51.33144440140521,55.211407843930495,55.90386637629342,57.45505285307794,55.89029422578377,58.32694455602624,56.24958760971058,58.59173534561136,56.98199428740656,51.34936139412759,53.474787820218154,54.85713604996094,50.49544983895496,48.61119425208057,50.548910664572404,48.76732264505627,45.19613855034025,44.2074671731635,43.878984894850404,47.22336665247015,50.93490133270981,52.053865819776355,54.77632149844018,58.39402497807547,56.0803169674768,51.83749065988482,54.5231819633806,55.82310536078611,51.090796783833554,50.26749841136474,53.535817790170974,52.25485003723379,48.79228080828355,52.9176518006518,54.19252127717197,50.24208533343955,50.374206779094266,53.951425805313086,51.904500850844656,54.36368683968585,53.033411670421756,55.42928125785631,53.8987641782918,48.51015424847041,50.78921282879161,51.21540949962231,48.12936902759744,45.771591924204834,50.238416500550784,48.07296964958242,43.161093418267804,44.37043771851245,47.960453491127986,45.31209472503066,41.54206046924609,37.92255942321115,38.91961616370302,35.26525856916942,38.85278702418539,34.866062786244754,37.23522897859834,35.569662029648775,31.852144794169384,32.2989113446059,32.447555404958834,33.2160709356394,37.42658142565026,35.52037444879316,38.491452653202764,35.726490324001524,38.544280661741695,42.2798513998225,45.20717041001236,44.49586846071594,40.10459936891927,42.57784736747138,44.465490996126725,39.99803070878262,37.861413667137626,42.059471543405024,44.7274710994346,46.247296635526524,47.50182267726422,49.08272474494511],[31.80885010867845,30.323901439653845,29.943094508604403,24.695235489922123,26.77937403449944,28.92425450061551,28.762249798517416,33.08404195222436,31.332376816935728,29.77977884948886,32.21254680282135,36.224876151629765,33.574654349627885,30.272172569320574,35.00852456510517,36.593489028593055,32.85071947126879,35.285023560101706,34.03366463493354,37.422369001582474,38.54470499176183,41.956039325168646,40.83149842964836,38.62807661120694,37.41095106502435,34.18579242117621,34.23280802468906,32.36684365347918,35.562019475686,37.81646512889009,40.436112501683695,42.15275759893153,45.8438547465216,47.83722860191872,45.23912814173301,41.815069320627536,42.409108809996106,39.72011757472021,38.4086979181029,43.325129643052236,38.93743189937058,39.69320448778885,43.83863956685374,42.05207027014041,42.19866029609203,40.66190850373999,44.446487177051054,45.309384184654704,41.67003340817404,45.45879799944856,48.31949289612899,49.13763934042713,51.150088352849664,46.15280597573598,51.480500788175085,53.39146523754269,48.9541590114091,49.5627892791196,54.04881470667824,52.564775568746136,48.387132091195205,50.71671834831057,50.01879031691338,49.53015686473948,46.66738117198701,44.787495395887696,40.872257112658396,39.99280141709447,35.94721266340854,35.832431933790794,33.5185766055901,34.97813707166212,38.43945615776191,40.354390378789226,42.07737515356293,48.06170528917845,46.82864190855761,50.93609668603149,49.805925747266244,50.066514300225265,49.663091529496285,48.226320635741565,47.97940620361483,47.77200277174583,43.95770177815379,43.4180688392454,43.90863709237486,46.83463830721422,44.732158343423876,49.2946493521927,46.22565702125649,48.63562769976727,46.31396068692228,45.9333382221202,41.71280676735481,42.45008090493215,38.50850786800693,42.37640472502993,41.07739933056698,44.53588560229002,44.162498093244174,44.528320377104784,44.2318239902713,43.17569374876546,44.5469878698373,40.23648862948757,43.41717477565205,41.46952811652773,38.46585168759963,39.47970730091389,35.25410105461184,33.64658574684921,31.373711365567146,28.946554474985035,28.5153353205093,25.848544004848307,27.910501700012425,25.25473220735422,28.762189851231483,30.350171613649753,27.03740681895049,26.426098472008295,22.37505546358797,23.40351405083621,24.829545400604335,25.609162182453463,29.142693946188828,30.425158387545782,33.09058693941103,37.26642755543526,35.05196852491926,39.63155849897134,38.58108723975992,41.10583759012414,35.433554008131075,32.91498170633665,29.154977529892488,26.629224136177477,23.563613166942783,26.488042934315523,23.63330515596517,27.224291766640164,28.805695615253935,28.752254810366107,32.402249489351135,33.52385355765579,31.034713086118582,33.04522153251199,34.364459049871485,33.69571112072346,36.83565997467279,37.539871283283716,42.50050277847312,43.180942452705345,42.80388893872626,42.65356200023599,39.43944018628541,40.16308398041893,38.84346197145746,38.207607564520835,34.961186143790755,36.654991430923225,32.40222634837191,37.12744887891491,35.39694451462186,30.804189639843123,34.11873870093857,33.02954834187717,32.09409522867429,29.08533524320075,31.69237860950572,30.622295702796894,35.42533543532722,38.00317239242305,40.07315492324741,42.53352496372659,41.503768433896134,46.82474964063185,44.67197736033672,45.668755419273644,42.022273049105024,40.45317433982917,42.820817576941515,43.589552871989056,40.32294155335847,42.23896038055176,40.547159454893645,43.8676337619668,40.886668542763175,42.059476142279806,41.684315007928845,41.679432120498525,40.35393031710361,38.978217032353626,39.75104627848736,39.70338643581558,35.830965805515724,38.70931945567751,37.17719071667681,37.98094786726116,41.161460450640014,41.72243548255783,37.70623456790375,37.357955969579194,41.36795780081555,38.90236518570878,33.83833548001757,38.252978953082426,42.30158771878347,36.76510443707499,36.46907428944009,40.27494356013374,39.33893520827326,35.20384618182872,37.75532475633273,35.9537925767879,42.02577468207374,38.1339775576488,39.829286600297856,43.846269365769544,47.17541335623086,51.160850160008536,51.8382878234684,53.16400594945648,51.55498435500723,53.948047775876724,51.7441464962823,54.269877243886626,52.78157908570684,47.00883009898114,49.14279012188554,50.79945197966982,46.45552688915803,44.43868259522975,46.509240347052746,45.01064075624515,41.307336989507,40.21282340953192,39.58836755574859,42.78761608186319,46.49531219432439,47.46339942951931,50.09362687386221,53.64459882075853,51.25618035210466,47.06140200671551,49.719267470241626,50.91458314477157,46.16103864203265,45.41018458585793,48.636457363517785,47.311900603516435,43.90697603393989,48.117021233626616,49.35529264942338,45.40963318465686,45.66358729695125,49.28796970186506,47.28844158798085,49.72374290235378,48.3372941262151,50.870909378273964,49.4236127646035,43.94844118755614,46.29583567863259,46.91357863122539,43.81602519312087,41.418907028508904,46.11533630053951,44.1245597161244,39.06975823332539,40.334406690972266,44.19156299418651,41.677794721337236,37.790373106393716,33.97817107418066,35.464324465286595,31.729861848739958,35.118304487266194,30.8096747401416,32.86836018296068,30.969761133011342,27.49257000841105,27.921393838199183,28.36639245010725,28.975016850942897,33.02790342760632,30.819980343178973,33.81821408675558,30.890716877801307,33.620964873657165,37.29773508961713,40.22305250952828,39.46402542265433,35.09311570775085,37.61781358793662,39.47641185558806,34.98113488399514,32.913393484557226,37.19056328597276,39.8857068098664,41.42032086410781,42.68440957325321,44.3216275542545],[33.073782076675826,31.14109847223454,30.10862583580525,25.146675087805573,26.460382626607817,29.581426221486648,29.33595583049208,33.748058277658416,32.578253497946314,30.908197940469535,33.65321976852767,37.53639185736536,34.36254903617217,31.526857191799973,36.23794877338654,37.424837239928294,33.3633797570465,35.735628455445145,34.232563873746464,37.21291305230808,38.23882406676594,41.24900988608264,40.12726281441407,37.62755517834826,36.38934652109579,33.56815185089874,33.501274946970916,32.04792459010696,35.56670271652773,37.996662260178226,41.21720926026123,42.67333611714901,46.6101615491582,48.43399438692868,45.49743748523604,41.9142851831064,42.274514705218365,39.15173590611887,37.44815045748859,41.873344865547665,37.42120915525544,38.73180646178605,42.674562944380234,40.5154130999428,40.57530840439853,38.67731269156104,42.41592849174823,43.46215702514327,39.531988085336714,43.03682500049062,46.21377070395505,47.04060879276558,49.297081468417694,44.49741572249194,50.07146363837214,51.87607657928853,47.54463392543606,48.56516705345236,52.99742001887055,51.267825075057985,47.454574198389494,50.207052050821325,49.82812746871078,49.36293217542381,46.1736248528924,44.41886721466706,40.97980370309327,40.354782030867604,36.635710614970684,36.92526324721762,34.732176478424414,36.518123009906624,39.75066575555466,41.24003294852878,42.85596375604935,48.711867989444,47.01127284001276,51.22360557700309,49.72952926205994,49.57870544671906,49.09720893853086,47.22752203658046,47.16606796187463,46.47614851106871,42.579028831577325,42.54746060598179,43.21269630679798,46.47315271351557,44.591136687703894,49.528023739472786,46.75126174096629,49.47794723819109,47.35253697335047,47.040879478138635,42.86396535285066,43.99606290115881,40.08840024561037,43.508155144469285,42.14487616641042,45.582524140987935,44.697132150504714,44.7576067059748,44.10326097757755,42.785489325455316,43.552172242925714,39.26699028370432,42.21417643167603,39.92444066022048,37.179078035996696,38.59192097319613,34.65254008963172,33.00407492308281,31.345271768222077,28.617484832129364,28.73532975438193,25.747231952579984,27.880759939260884,24.867392926375075,28.790688284308203,30.77877445328497,27.724395910455048,27.249541064903582,22.840632547479252,23.794544399739298,25.315961981939413,25.139862210960327,28.81657835085396,29.491782234222025,31.834987711124256,35.75673757572719,33.09610011673639,37.54492668043363,36.2000441945033,39.121844336720585,33.295782465366855,31.24458989220337,27.17122378006126,24.971083372276734,22.175114428688374,25.104402510755897,22.052230280440465,25.476390739846625,27.703009527216214,27.69047331694205,31.259747629694292,32.941519376372526,30.480917306285836,32.8217082888559,34.0635409198708,33.915540818944784,36.95372951074098,38.27600147907289,43.08641271350484,44.35506932649392,43.99965763422988,43.406061857407856,40.06236803148238,40.33515646037043,38.95329536913497,37.70580881492476,34.01557845251257,35.87377032334974,31.09870289480034,35.71423556482752,33.33738930029653,28.43083695542786,31.454399224361552,29.899756195877774,29.01225883868023,26.371216608884158,29.227347454587246,28.639141062040796,33.58467822111203,36.46384486362648,38.893603056539014,41.60901242258391,41.02520484349548,46.130359096355335,43.57595932533575,44.412494799235986,40.32076927793768,38.99450710129138,40.78357471616155,41.21036620871917,38.002527808288676,40.039676740683014,38.61381339838784,41.5349902969598,38.30850203089339,39.269475416205154,38.6535751635488,38.85111697409791,37.34083839957286,36.07785226738018,36.8966526655088,36.78836999556639,33.21066917017906,36.29268376320731,35.058873188865974,36.32333904383479,39.49890465346441,40.504528082151324,36.59603538262744,36.0390423270876,40.24981431280642,38.24331893696797,33.05901662440611,37.40008275721187,41.820289633060284,36.65531005314621,36.254594787394026,40.15674272837665,39.64542053248092,35.61691837750014,37.94233303775618,35.75965734733016,41.81107968453523,37.22273272333227,38.884554350436126,43.016320167437655,45.8930886392398,50.032313814365686,50.354230584112436,51.71995247574032,49.91230603941947,52.18681541570224,50.025078377497245,52.18718713278754,50.68833909800947,45.062205217496796,47.00164768635196,48.3134345169782,44.04582397636658,42.0667343712307,43.84219121669088,42.158583498571076,38.68143474279141,37.46042124494214,37.3891803034483,40.681692543166385,44.422792392403736,45.78441907326381,48.54393921055302,52.337151824476486,50.075487377524375,45.765375172730714,48.693055661988964,50.168510724023854,45.49213346971096,44.702339832104926,48.25700678641208,47.20967178490936,43.721947570341996,47.790913444178315,49.371106045893995,45.71740245619921,45.62944788482739,49.10272926862628,46.81295968497137,48.972761666495884,47.37930175680279,49.6137595753032,48.382505837372904,42.9563800490112,44.86226396257034,45.413594117091996,42.49318898978047,39.786694537916524,44.155918811417095,42.3094307046719,37.33560814793339,38.15667621757593,41.877296675540485,39.532154657711565,35.738070273286525,32.30303822254235,33.509692812630746,30.175790234443262,33.97477378286914,29.987923935909876,32.05597770809368,30.737628347537505,27.082579624086236,26.967148334097672,26.850202212124685,27.223985905721094,31.41643983294402,29.55768383261067,32.29125838486642,29.799902116501332,33.05981627053905,36.860438016208796,39.920623070855214,39.60741081278971,35.1584334475451,37.79845067878065,40.045146351342254,35.641112355038665,33.57429340164263,37.84506392603433,40.882342564793795,42.51283532527279,43.7787813401171,45.46620870170115],[37.16437356595295,35.27883431375322,34.13313300423229,29.01828661951614,29.956577591686138,32.830201923955656,32.08925977756822,36.31530505156046,34.817679191721155,32.588410035415706,35.04634407113564,39.1037927146557,35.611580047074696,32.51036150452297,36.87246809607675,38.11304452687321,33.85131041413719,35.64234087722943,33.470856641203305,36.630060719298754,37.120067276293035,40.08573851151406,38.55586956352866,35.91522630841997,35.18978171731791,32.52624184553621,33.05245960374116,32.019000847038456,35.75463526809338,38.62533848373973,41.37243009319802,43.40634615199416,47.20411766647925,48.60137714734345,45.78135836802376,41.974421857628656,42.82559349151115,39.22171266298525,37.54975531077893,41.933157344648784,37.07019012445226,38.09283086402975,41.94055879217114,39.63159657993116,39.2212751456956,37.24244958943193,40.864291147379895,42.33598015414697,38.69106887933188,42.25255696039447,45.55544114437715,46.670223066703755,48.87499391554657,44.22265829489144,49.88578571289759,51.231810447014844,46.7160711125356,48.00904818464493,52.26093867617552,50.135615097692664,46.32817009617508,49.027494226281405,48.87859308999933,47.919020452338266,44.79482559910784,43.47454204659941,39.79513511255869,39.62923440527813,35.680657258110216,36.4063503605463,33.94489952256048,35.403522353964334,38.88972537926883,40.02050876552254,42.15226514575604,47.77362507068162,46.25618389792286,50.64065193557273,49.2880455388667,49.10770674093334,49.10821834782255,47.34596694227006,47.80367563347055,47.136677450705356,43.113786146872876,43.03075720844173,43.18417319792137,46.74287951165097,44.350020703444116,49.40823457342389,46.448530119652666,48.93426010761149,47.08827210886146,47.16410974777198,43.24165564224448,44.373840343063044,40.699160562903735,44.39266386933636,43.4191377970618,47.29077584680361,46.02437982406721,46.636246552279715,45.543316880000866,44.75962107787608,45.43464045173321,41.51465878043871,44.709935568025735,42.573233580713904,40.14083187918748,41.34766169280097,37.5564636239238,35.38282824645559,33.66711119349593,30.54773705598133,30.084193334182313,26.81772617321723,28.30189257697751,24.87746862755925,27.986620422509212,30.563263478866695,27.63264895774345,27.766981557752715,23.62814118806949,25.248314305565422,27.38726636575339,27.37913208211535,31.72653114531314,32.109509912598355,34.590701680718006,38.17238879063536,35.867042845875446,40.252614569307845,38.48899562214723,41.25645439535071,35.39455908165094,33.25505023925462,29.699436096244646,27.0051739547162,23.871187359536425,26.25812979881585,22.330494534620442,25.046314122878993,27.411938419716506,28.0189894925663,31.46265769793319,33.430529446828736,31.310532333927416,34.06042160226418,35.75609598557307,35.89371642144848,39.31963133587296,40.60919943767819,45.53375144063283,46.91159088929063,46.12562832885137,45.4128158051138,41.85402174812707,42.358740948671894,40.481288950542584,39.587836499566876,35.53006474739067,36.777159975381316,31.90627274795124,36.30489312589641,34.014226500101174,29.133482482330596,32.5227351224137,30.764922856380753,30.518194515189315,27.883870976788945,30.86507430177079,30.080348838436095,34.796942682326986,37.66784403517422,40.018917142634905,42.989746160057166,42.17219759700377,47.34190456520767,44.544324709871965,45.6750611916428,41.41225459501195,40.696037142648436,42.38968396509052,42.65079384828544,39.31412937819813,40.7108453861662,38.90574213338263,41.62167438326513,38.222204043376195,39.62363198808448,39.232821392138526,39.82493629626626,38.71447346797951,37.85091182180525,39.01867559051289,39.286339169894106,35.974941202631804,39.31599273161917,38.48026242492245,39.658231491292355,43.134669152509154,44.07415756420218,40.142032503983906,39.92487241587136,44.194978470627476,42.13569885265892,37.167855893479846,41.620898474363166,45.94240942296613,40.8090812522911,40.605377070131375,44.53543637007072,43.861861460738915,39.94668781867198,42.46064151589975,40.309712567573264,46.37204511464604,41.83857803360572,43.3681181220197,47.51753216353398,50.33138292586595,54.560664143410534,54.75210875868172,55.970211032667194,54.002697919114766,56.11582064107057,53.768101743473785,55.84869746033484,54.55138989271662,48.8909302561353,50.572902668897235,51.906319784052776,47.79271009173146,45.64488567072193,47.140342316314324,45.67352878883575,42.37500516314486,40.69300181180318,40.99835396864085,43.90792538863913,47.75159348801394,49.3610919074441,51.93625320161454,55.8629410212277,53.367469934455755,49.18173718162843,52.391303149374835,53.70032896500055,48.97839672577117,48.489328551768416,52.081452173734576,50.980063044240126,47.650911713615564,51.85633311498443,53.40753649695077,49.7607431952589,49.86678430347243,53.38108028009301,51.11018195037376,53.163110763688984,51.39377370782093,53.67198278027326,52.658337199476186,47.16823292238616,48.91227444540739,49.644784087979254,46.81213533240992,43.89860486953747,48.2527265828787,46.63020027916421,41.63239646103531,42.182187489723304,45.97845898777539,43.82033761947779,40.05012809437976,36.72993647356245,37.959741123908394,34.76471641880634,38.627756566624555,34.622233047905226,36.529354650734184,35.11124368798988,31.626480569668473,31.40322420816101,31.291310697054815,31.415308884655364,35.50841317786963,33.35752913883409,35.782862475651534,33.090414332072044,36.708836340401206,40.24178263209409,43.46509171842117,42.85262319776809,38.59882557113278,41.56052797969554,43.60706637997921,38.92740780707234,37.30204895191934,41.746049352907356,44.69033130137977,46.261695774166334,47.47414003064526,49.153623234282904],[36.61537074836662,34.71671393936374,33.40908005407579,28.17208171387082,28.798622917594223,31.37808253628175,30.282542246502164,34.35569374742498,32.686986367479996,30.171930831131522,32.50170069237812,36.60516566334459,32.981475953791055,29.80076297030559,34.01830327682885,35.26732651451973,30.969796369520598,32.609760925944066,30.35067801008989,33.59378634083054,34.04833071277403,37.10856695343384,35.572756758619605,33.02583002812,32.30142916176407,29.527025908754396,30.15399415500536,29.10934635284237,32.83780306657211,35.80433545483728,38.36931883560259,40.57569780532209,44.310476823880975,45.60035103778801,42.84225686073953,39.00548004324554,40.0185988439431,36.38099999247633,34.822015669977134,39.3610399644432,34.4477397414723,35.23319599242942,39.1385938787125,36.95519691719001,36.56461658950776,34.763766696158584,38.41928501141281,39.787546035639366,36.30695141422527,40.0339344743479,43.16771488361619,44.30989590476462,46.38904547764978,41.66897273735974,47.249921902617096,48.57381703126608,43.99628738030607,45.17394291197123,49.42520335064544,47.35729923449687,43.42324333055294,46.00590654050045,45.801597504107825,44.81867549981031,41.76105661818666,40.43185812429726,36.65238655825388,36.49449746229691,32.502185083125326,33.27647031589438,30.789214349156058,32.246825121429666,35.72354808647983,36.81968194334916,38.992010954496905,44.59546766147822,43.136399411528764,47.52857832219228,46.247593619784546,46.14581328778834,46.250035951236306,44.629549862359276,45.16711702562319,44.657514366833375,40.629743297848705,40.36944403628458,40.351227454528775,43.89874664345891,41.354805101120476,46.378402563861464,43.3579986332381,45.78858134227173,43.98529033916812,44.1408353385221,40.290749978052744,41.441915211402254,37.848336937126945,41.59448658385639,40.76799118896502,44.815445970158514,43.40087149433685,44.28079709520646,43.04318558037973,42.54960576170315,43.32672791151214,39.59409464534316,42.99465315188796,41.0786711324458,38.76234893849358,39.7044456564424,35.95404397826284,33.47282263222862,31.62717980427663,28.361234380664662,27.55726667064096,24.23450217662583,25.474140787504712,22.00607060625461,24.884367540984922,27.516153037646014,24.609200784970113,24.911186360633142,20.908357805216575,22.794088502639397,25.216134263839383,25.4044629076507,30.108019982265272,30.428417027247644,33.081094618550274,36.53432354220889,34.64355848373027,39.04510442868553,37.18890000015177,39.66147766565563,33.86528395073684,31.47464523179564,28.35518776521858,25.257466909917884,21.880235522553793,24.018949693028727,19.8911479294039,22.51433867755455,24.65310117038178,25.39208400843196,28.821706261616995,30.710319170788107,28.69839482539489,31.5266535999966,33.42399616133097,33.62878774097098,37.25794887208498,38.48402642828484,43.4582156703805,44.904866003278734,43.86875345405196,43.09005378731582,39.44252784639934,40.09420646364888,37.99713857638718,37.370469736517,33.26605109847481,34.23053206612025,29.494976048044652,33.85580561400372,31.87115790548198,27.170523927774582,30.84537710446338,29.350390704026584,29.306848872038074,26.426768379253126,29.30110149434224,28.183660156795867,32.73207742866101,35.46973989963327,37.66087255150472,40.647013490695265,39.62994919759357,44.86629774113626,42.098450074717604,43.38562987400971,39.23245203438255,38.6678285948588,40.56264754734544,40.930965346452965,37.515100877998826,38.62856407665834,36.59261114373158,39.46388127967796,36.19027360959032,37.81682299803692,37.646573342560245,38.21721856219954,37.381216498455515,36.61266033858929,37.92699918782453,38.46593651261731,35.12389436633474,38.521357042808816,37.8380502979838,38.70660869905283,42.44800925267022,43.13951701470398,39.15858664460534,39.34619742228498,43.597416497070334,41.34802481857047,36.66964428737571,41.27231403259222,45.361273360971865,40.22301474991003,40.30125165975354,44.2478405301934,43.31864932853117,39.589825135323586,42.41219588196568,40.350569979895646,46.42195697571808,42.22585363435978,43.46548673222409,47.600414661784626,50.510837236976755,54.86244205175625,54.989724606896196,55.91777778010495,53.82635737686573,55.8013601516463,53.215927394836996,55.42713473081591,54.37186951346531,48.56344407364681,50.088105643083956,51.69882700123698,47.70155961792557,45.3239314669919,46.76453406078851,45.7020955813924,42.396263695960776,40.31498368705487,40.58655051677349,43.08751301677857,46.997711781540225,48.62154167056606,50.97118110374527,54.91058876681067,52.17361112080745,48.1375894412036,51.49751486022773,52.56827563723764,47.79623509164467,47.59250965137306,51.13920935646938,49.940999117694716,46.79337346220488,51.16379167088669,52.628550614301744,48.97987612679123,49.35086179767046,52.93323188802193,50.74737693705,52.72528667743822,50.80914738171334,53.254625287568814,52.442230215766,46.8459597396931,48.56695562447986,49.58648224810927,46.7947791797456,43.73840874010517,48.2917211245855,46.951159209111225,41.82539472088659,42.27168844869384,46.34469263810963,44.40693917167009,40.555488905615995,37.13492741024665,38.78427705123483,35.59441348286576,39.30059045724956,35.029855996561906,36.57192399300764,34.87175107587759,31.73335648143829,31.448331592158652,31.60703366504197,31.44378240239799,35.31388014712083,32.687212252538814,34.917704703703805,31.915675289695226,35.684088282740554,38.94518947015809,42.2677184815903,41.35701870295293,37.29030826701006,40.515779609717335,42.35137254149146,37.462028063484176,36.24015577896414,40.84228481684016,43.6996825796223,45.22322786265924,46.402572592108136,48.10251815143438],[34.56983773308181,32.34686101116592,30.59146033988586,25.616513581666137,25.76954331533923,29.04550986607136,28.057312198162414,32.24177098950114,31.148720642026916,28.834750439072586,31.540582001853,35.429592621561824,31.608003933974295,28.952694222454515,33.33623054285382,34.24562632204166,29.858707599306324,31.825336656081472,29.86734179181355,32.661286063488475,33.437112985420875,36.23669566836936,35.02035015862932,32.39328534759419,31.256052183656305,28.657974878963813,28.768697495592985,27.734374591443725,31.537240779338372,34.3406946814546,37.63485952012339,39.27779130269215,43.26485390627291,44.6963403502932,41.628482618380325,37.834029307719284,38.36790533093885,34.74192352473808,32.89929138455779,37.146818734536254,32.46034223892289,33.81015229432746,37.64421937228581,35.32931277296517,35.23347591113497,33.27398660160164,36.99375168553409,38.147390026752845,34.285130631330524,37.81897893159565,41.044012021142265,41.99633850926763,44.254355161370015,39.546954857693336,45.22219848483301,46.792259864107024,42.40769598586706,43.65568806784504,47.99548770848018,46.05694857955356,42.35749643546565,45.25769774794231,45.10460745129087,44.50896513785493,41.18450171828855,39.62246665150242,36.377757470940296,36.067183940505195,32.5151012626804,33.27200237318481,31.09881824894943,33.047492093054665,36.11910534986564,37.151556226448385,38.845424242189466,44.49780049859127,42.57039001543548,46.901958335047134,45.269373149403314,44.90571262309923,44.63566053314076,42.664605089434914,43.001912360907326,42.17295722750155,38.1674701746763,38.2621206551503,38.682881162383715,42.25976790888066,40.20695889519247,45.400463966273776,42.72256889654458,45.54411865266915,43.700000360084175,43.64692849330605,39.68022893046139,41.12669568646984,37.42836047154503,40.65094459762634,39.55440086235008,43.34017523132877,41.76223561591131,42.13861229883049,40.88225092880407,39.947188330645936,40.37976934981148,36.504044558999986,39.66041048817211,37.49315137061629,35.223819166092824,36.466808598830625,32.85321069749797,30.546652268151835,29.14241306926677,25.857087707419726,25.74107851603649,22.3588421461922,24.038687937450504,20.596478258341975,24.35117953964975,26.836585597365083,24.071584694897005,24.06508834660726,19.661779936015137,21.085765864571357,23.24905732475621,22.68398703310053,27.208517506294147,27.235868867265147,29.63758243946592,33.05739578077665,30.80819315387105,35.160745742972196,33.30266763858137,36.03462177652129,30.167616989351828,28.06723129518773,24.580855638374114,21.8478185047761,18.78808667871476,21.19618466009134,17.435880454773905,20.42223907558475,22.91069610306672,23.26719334772609,26.716726882478817,28.808007059262817,26.616756046413112,29.435255735132642,31.03584657398061,31.462519048566293,34.832968482071884,36.50238584571231,41.30499302774759,43.12801056478625,42.29913724006299,41.25670737612588,37.633090702461985,37.85252410432002,35.96511597106163,34.746575159753526,30.537415783458023,31.939116114425918,26.916177328315804,31.334407304711686,28.89936333199516,23.98730070104808,27.330342459059466,25.72022702274661,25.393293422209727,22.6578282501913,25.610463421067823,24.843949781891347,29.59949033272717,32.52761947649181,34.98503098931117,37.995767560535654,37.39702631045793,42.451977252058754,39.56233619921699,40.59015531363192,36.25745394228926,35.52708503528295,37.14022530193648,37.40974954837311,34.08038115802517,35.60399873142247,33.938867913674514,36.71700628394755,33.42502944156318,34.67646964078532,34.262677880549234,34.71294202110115,33.59246463621356,32.692458633141285,33.8956558802469,34.29279131085506,30.988424331523632,34.40680837684661,33.78196897024778,34.87585153988853,38.556859049202245,39.48170822649775,35.57719021582842,35.61573174853669,39.948444000286074,37.96678913309128,33.24155809267981,37.78132655401941,42.05367715189855,37.1707256705562,37.201255991231996,41.18656152484564,40.523204691080224,36.90676175659498,39.604736449983164,37.32645659585806,43.347387472142394,38.85052078845486,39.97923874105043,44.1533962859575,46.82686140023191,51.27442103678525,51.20172579650141,52.09632009661183,49.90510727953957,51.81982825814608,49.26546187836458,51.33031435246228,50.26870124373016,44.522626179235246,45.98252539368949,47.47463806174795,43.50851304164392,41.143374959917,42.50909877582693,41.40228181282173,38.158365156216185,36.04796164573989,36.47565542088749,39.058606897738706,42.959431076492024,44.716189976492316,47.15968137760197,51.189629552521644,48.57941078695068,44.45624750654364,47.90000333159843,49.15983449445773,44.45524292896423,44.1721053778701,47.89788016467547,46.88503131952124,43.672631622871386,47.928818944122135,49.60485509651953,46.16074876615233,46.302389646075774,49.778802763786864,47.42830303016831,49.23747494733381,47.21680606514932,49.50269357540504,48.81195413449191,43.253234163315454,44.7451798567436,45.75401439461783,43.06601632970926,39.85431163103522,44.27415711292186,43.06037903467461,37.96380745994265,38.195940334950606,42.260932709194584,40.46588355151158,36.64908775304367,33.39721909374171,35.069867039736096,32.11463727916902,35.93133291967785,31.780398633489806,33.20085428867355,31.816317591095963,28.679510504560398,28.051977220984387,27.977692714160806,27.618252972860844,31.48286034217351,29.02984622271167,31.14046359763687,28.428523009629096,32.423286294406964,35.79844352807346,39.15437510232098,38.61597807298071,34.466141083945395,37.68354588469976,39.81276385516734,35.082430987154495,33.77040788521631,38.318764707912905,41.418743455270715,43.02045947509524,44.21755969980144,45.96694096556014],[38.84562263751792,36.611207960422014,34.900385559302116,30.093787586038953,30.286621382049105,33.88687818804661,33.01392739457928,37.22019504459843,36.218339370775595,33.86836989968878,36.54018726445042,40.44134026263696,36.49477082697573,33.84963229778269,38.09399692023384,38.95112968670866,34.44618910785575,36.103113914285025,33.68479253232277,36.39497703547664,36.7435942822245,39.25815365080181,37.72362039422442,34.806293738224724,34.10829885155741,31.920923981254575,32.37311317901213,31.810177341186478,35.80653907485641,38.83837029302938,42.081219352318264,43.88778290020385,47.86688165719734,49.05654566029574,45.94865084575248,42.01437537139402,42.673587080938404,38.65008710509694,36.62105393716607,40.453214083390144,35.53768416065599,37.07846291785988,40.6649432529111,37.98818492891779,37.44784403108431,35.104645615413894,38.63062158737436,40.32032075333424,36.44137261056062,39.682999991781564,43.296188664623024,44.445669092267465,46.87430924304754,42.47412221825334,48.342301770878564,49.529466548109305,45.13568227239977,46.853435977125606,51.00273137124751,48.61553278781539,45.207064292423496,48.30348167566539,48.48751727277896,47.533779954612015,44.11535240247692,42.96212773000819,39.79120025879742,39.90314496703815,36.324019037667036,37.4463220763614,35.13528727638495,36.87640177906627,40.0907356508689,40.78211981996468,42.801143822010125,48.22452394735788,46.27115669577886,50.72761877275883,49.03973271025945,48.45443998706758,48.42018058695293,46.26205690200591,46.952329644055176,45.827470305387564,41.750947325272534,42.15808324561472,42.42557058670562,46.300270593857704,44.10331572426084,49.48443679991116,46.82435628153128,49.58036442023337,47.9556569421417,48.118657602443015,44.293246737051845,45.785690369369696,42.194072929421985,45.44928013331144,44.458375841779755,48.31387122220978,46.546076347809326,46.93009463401775,45.46201308343478,44.51284751961521,44.60073605629282,40.81358566315799,43.794099861383465,41.397298350427405,39.30000719831205,40.812176084449064,37.36605636473059,35.10485611106452,33.96970740057453,30.592600590570605,30.569479402878866,27.066482110401584,28.509180497624353,24.80454609333981,28.15823856948524,31.098159863266172,28.496123430890314,28.790445557058614,24.47771761178152,26.035209231896978,28.259887466981944,27.430606834266207,31.894606277977072,31.6781389912333,33.83616953228575,37.05052824813416,34.4496886873785,38.62663145791498,36.52520248836845,39.59139794529228,33.67235230833513,32.00015165647107,28.340098465391634,25.93414006756909,23.10964582847651,25.31697892363959,21.19282832018666,23.518645686523097,26.506350123531153,27.216770697437653,30.476953591700916,32.98902715944398,30.98311074288428,34.035161024019985,35.68389342767761,36.332832428484785,39.6646390085726,41.48927486393514,46.23874818798028,48.15351624228125,47.34013620233212,46.21603567167627,42.552786130044844,42.66644813491296,40.695442431608726,39.29225643104126,34.83302746914834,36.13110965590972,30.834529530582017,35.008661395388856,32.12126778311223,27.029152307406974,30.120504361973534,27.88158415982304,27.83585661731477,25.63570598351776,28.815828602565755,28.486220279826515,33.19959551897587,36.31698023190265,38.968771107039665,42.1788828402257,41.765412006902174,46.67851818183333,43.495487492526244,44.50030795200691,39.83292954962816,39.457689789113815,40.56109047046341,40.46103684114541,37.20007168856196,38.58923856341123,37.013536409658045,39.268433218464615,35.63592837375437,36.876744910703124,36.29034675083147,37.150013075069324,35.94899652201766,35.29105648398661,36.56546020105983,36.86409634331296,33.94554221895578,37.47979731274094,37.029982669073895,38.57474093842076,42.07132033494513,43.374421303029266,39.58722018620404,39.27781639838794,43.67839634138395,42.032368382890525,37.094627798132144,41.449137374629,46.008632285103694,41.26813890850053,41.03594586931986,45.01041109265884,44.66390413085121,40.92056459280657,43.27517699665537,40.83675578025311,46.815599255432865,41.77783256926033,43.19145771043695,47.396829349480534,49.77684820705923,54.13569659236582,53.97362456489643,55.15598604856153,52.977311697401625,54.917709806503176,52.57031112544901,54.29601863673344,53.06296952887512,47.56869738286018,48.989414939193395,50.02340949207544,46.06604217756435,43.91833830421466,45.05709962475804,43.52434734795737,40.516720413328095,38.59838491856709,39.49154756640222,42.33602001459712,46.1913590068297,48.19427464292397,50.81347310868944,54.953235683280326,52.53931422317979,48.315195974156794,51.801182051835596,53.31073713317481,48.693350614421874,48.24298151988104,52.10132321027079,51.24379850764407,47.908809555454184,51.98638518067178,53.82040085483364,50.463187939051586,50.31944919976159,53.68502516544457,51.183446374472965,52.94467312947362,50.95794437746087,52.96836136192668,52.22076191566035,46.80494721540297,48.0988516275496,48.82996792574382,46.20979759007886,42.996236899877324,47.020118035862346,45.631443399974685,40.75049949479619,40.81897773795775,44.4928767826112,42.59032796129955,38.95487039608013,36.04273599010952,37.07406507881022,34.32764693003506,38.46415428354509,34.76457482468334,36.563312208525346,35.622678418501025,32.12511017698893,31.414519699216726,30.854319822241504,30.67657319361577,34.75505705529688,32.861238325779716,34.924151312191746,32.62762087494011,36.71900493998599,40.24557070624505,43.57811528193005,43.312906577442384,39.08640507906351,42.1708808209452,44.491981369405124,39.90049446195665,38.37872692475919,42.80311174420832,45.993194639214394,47.621489780148664,48.81197192964847,50.5297612856061],[40.85797220895622,38.66031992571538,36.839011405696446,31.884014293419586,31.763411109061373,35.02091811185769,33.70782083990714,37.69967524126039,36.43001017423158,33.64377832954845,36.06183565312959,40.048466451614374,35.87883473537287,33.07870584958699,36.99234345868772,37.866155314538005,33.2625955005802,34.46049229333354,31.58961875685729,34.41030125623499,34.38446698135422,36.886428249491615,35.08822711153316,32.13326878654265,31.785384465097078,29.681778806608698,30.571652865178947,30.29658564784426,34.38841378255451,37.71742729393888,40.56041449176984,42.78957710596046,46.62835276095596,47.49013229401784,44.49952825781932,40.43476025356079,41.476571749268885,37.158710997592344,35.22236059852443,39.083780674246704,33.90644821636796,35.12272494393541,38.651796250575615,35.95613870263059,35.11158187326182,32.82087338052098,36.27312029877345,38.185125918773394,34.612868015795186,37.97471821032164,41.55378094238181,42.90364286713249,45.21344989307086,40.888069974782894,46.74055663819288,47.61571219951967,43.08431039211446,44.909358430559145,48.926191261381746,46.32231831120652,42.86358680281595,45.85845643343814,46.166457100360915,44.88888421024279,41.55286534564958,40.68672360807264,37.34652558018181,37.76720870722153,34.07316862235687,35.50420328747075,33.05021348656653,34.588637141155544,37.90220758391081,38.31965642609079,40.6602515442044,45.88544622240739,44.07232652871035,48.620250461564964,47.05939132647848,46.49347278867214,46.81995821210485,44.81684637052819,45.87363772953953,44.85982442931567,40.72503289368357,40.997037688219294,40.846400911720906,44.8831587259581,42.30039007072872,47.71494134422567,44.9318721901159,47.50302237606972,46.089894858730766,46.53254816374575,42.92791587848812,44.43088355329235,41.05070365778798,44.45841368104865,43.78139118470141,47.95953427874546,45.8968409353157,46.74933012548212,44.952993216698836,44.48804278619501,44.588903336989105,41.14322017559518,44.37473597696762,42.217509287852124,40.36405022595761,41.586724180416056,38.255523782102195,35.54743212507374,34.30673942504341,30.668623339037865,30.13049331563651,26.486992536375414,27.38367490001786,23.456983902496166,26.116703723000672,29.437950070068922,26.986969161030892,27.737581107134492,23.734986717630143,25.77295885704788,28.447556840038732,27.83569737110217,32.805106946064605,32.41763192986553,34.74287361378992,37.6792001735345,35.55627454112787,39.68665111847935,37.31786703235678,40.083060872264525,34.23038715194745,32.36044351420629,29.298534015828555,26.39887669984001,23.28639336150099,24.993357073539805,20.289762919274423,22.0221170859314,24.951902818100034,26.130465152061355,29.252751584824544,31.882864193008913,30.172469520040924,33.480370364672766,35.490051810141345,36.33110923575333,39.96896085190055,41.72136694453335,46.53759547225693,48.53622872542008,47.34822203536807,46.12804849084732,42.31594665352923,42.64451776109354,40.27893413559794,39.24418481418032,34.584412488798634,35.34214706559762,30.11685613494625,34.088475783439435,31.463083148830084,26.55802582760279,30.02052904084715,27.855335410116588,28.33552383245871,26.005764557867245,29.14503391733262,28.49072171991906,32.91001757704315,35.91162780939413,38.39917183142787,41.74828453368506,41.08250037551929,46.0427654456243,42.749311710552334,44.018569658210616,39.34470083224202,39.42531449788199,40.59591094524184,40.46977775686868,37.103615480964315,37.91243819940055,35.96700101389429,38.168745267694455,34.52491658116836,36.18431461555154,35.890507816166895,36.97690092475754,36.20775032565786,35.85015488863908,37.40937145858705,38.09340237425915,35.310206988637745,38.98766562717633,38.82990546796371,40.11203754140378,43.91448979269679,45.00930249648354,41.187541376147685,41.304067586365136,45.70430942206733,43.899020353632146,39.252935385159454,43.74983977013793,48.0993912679291,43.356919468139374,43.390049054343365,47.383215486413356,46.78612892204949,43.19900422175534,45.83606169688227,43.48511554229807,49.481435134356715,44.70779123715126,45.88982647289051,50.08931654191506,52.52270781358301,56.99028087090313,56.744847602272124,57.67249414601512,55.34679772342758,57.12118396383568,54.53073262966349,56.30679156325064,55.33345574312826,49.732503571957544,50.92629234771088,52.15826398072058,48.36070270155431,45.98574869692891,46.95222638550781,45.80487790143815,42.88275932201747,40.48872037276757,41.52461451191646,43.90057479993113,47.83734075230333,49.95828562962135,52.32956136804421,56.530475426221344,53.84395562159904,49.792702170527754,53.50135239254322,54.764963310297176,50.10106442868395,49.98163867598762,53.81302328440842,52.860541156174044,49.72288841831607,53.969659404192576,55.72161779583454,52.35678468294316,52.48282996609614,55.9158356046269,53.48894818965849,55.163407626604396,53.009022808627165,55.15500492350128,54.631494654546,49.12040415798221,50.33950632828123,51.34023153576808,48.781033089908895,45.39862297044291,49.54914595636419,48.43833703197584,43.466663228052504,43.366766274036316,47.249721197223664,45.56756393404047,41.89034644712648,38.946178720913764,40.26086373238205,37.54714315668755,41.59298689040627,37.69879530297752,39.21312486523798,38.02387182557561,34.80844787762447,34.05513197308766,33.69860707367679,33.25669964737111,37.139547349807465,34.80505827248256,36.60464968544718,34.013932115828304,38.33291198699125,41.54485674636317,45.00532921362171,44.395414034961846,40.39562379374924,43.78399046653585,45.86188957782944,41.019684952394336,39.95349163790497,44.54813741453558,47.62437217035141,49.189143764176826,50.33106250469151,52.05281529650381],[38.716922937762654,36.346252099196434,34.104823703871816,29.24336725960861,28.462103315253394,31.738991387118574,30.076641621570587,33.896760189776714,32.80366286511993,29.823525598240508,32.30314617036972,36.16561556554376,31.7285115819039,29.21640390974556,33.02097161997813,33.66290608117265,28.96936027316362,30.18661653785886,27.413153948142046,30.01147397706904,30.177806364213833,32.6281622869993,31.063599296261962,28.167434736543093,27.48933041049893,25.357018200396457,26.00848197869859,25.74957889437368,29.892832963338964,33.23209794579419,36.34366455283459,38.39273498778115,42.314713457636444,43.14596134335558,40.0232780626074,35.95553412625745,36.86911742911163,32.51288737640689,30.51761828287405,34.39431024774479,29.291264791176555,30.599960186785896,34.176558291196876,31.552071240262997,30.964382417887624,28.80117940079357,32.39063566348708,33.98270666595123,30.333561484612492,33.8207183221213,37.23195442375438,38.47871734353699,40.746052243881934,36.306428457669824,42.132128944022995,43.17519959413477,38.683888397322235,40.39194478396361,44.494729979451535,42.08106245378007,38.59312341842045,41.665677129399434,41.920200104397836,40.90842710071632,37.460355495994044,36.390491005120055,33.30096294727739,33.611740345317884,30.187432823041437,31.666054299195125,29.416948665085275,31.305474757177162,34.30053089283485,34.63744928489786,36.66971519800348,41.91347735839005,39.843369238455956,44.35465193366692,42.63862482244778,41.997556358830515,42.18413009015971,40.12107666312522,41.133835852403045,40.110360786057115,35.97999365922653,36.262752304966604,36.19699307641916,40.23855963649472,37.808401717459326,43.29313386864606,40.67440223125261,43.450584230702646,42.05362110501434,42.44075299113817,38.85281356235868,40.57288563296926,37.23661710829475,40.335592684073816,39.660225182843845,43.85849893019876,41.51692023855655,42.36573485218021,40.38281969754693,39.995155342730946,40.00079152281145,36.716049565481505,40.03863253360698,38.01354948406082,36.348404100070056,37.417467724901094,34.254522864296554,31.284394355698552,30.18904327709757,26.374858361526424,25.860098116858108,22.121461771802643,22.951327465743667,18.964621302336433,21.925886044794407,25.236996870035266,22.95760297330585,23.732566254106988,19.700258113416123,21.762215203340936,24.60408320604076,23.732476397183902,28.983825531775025,28.31319103602172,30.667870908588146,33.38287312878463,31.586848864812815,35.67801867875754,33.198696259024956,35.73200775324542,29.942375099694917,27.946226629211132,25.268240827688928,22.094077740066666,18.909480564126973,20.373704151696053,15.565188770026715,17.34620990368703,20.285092297010937,21.41335335372516,24.520055798258824,27.218211493081466,25.547751282549342,28.961532239320054,31.029326984706827,32.11314374396981,35.80998377924956,37.758766877752876,42.492460176449086,44.79915962491267,43.451571683152466,41.9887918754127,38.10463178885683,38.32998029251977,35.835680680902676,34.75118348927078,29.969114306642695,30.63671885082379,25.383044503402502,29.336806255436503,26.804132813461884,21.98109644975185,25.637485690220874,23.75690795707635,24.350210577788467,21.784140606698383,24.82488115117836,23.9531319738464,28.26725861618057,31.21818529421411,33.67447881382052,37.05956472812731,36.41876730176451,41.33650727798322,38.00359300190854,39.30145012487747,34.65317930443554,34.82498079618645,36.07322000745677,36.02991051273328,32.61209257775095,33.31774149474545,31.309012238919443,33.678412222200926,30.182039014383516,31.894705889100443,31.740327216332147,32.70236698397534,32.118305077732636,31.799711252172976,33.478930792067956,34.42893450937906,31.63997613840209,35.37591389107486,35.44423173670971,36.458699737209045,40.52509278208978,41.44059725185078,37.63468660539773,38.15986128706027,42.54473631697284,40.67834015777037,36.40121798613764,40.99505461126415,45.132969034683846,40.57168271088446,40.90929991963718,44.907353115838944,44.16568343228491,40.892229417992574,43.792653552044776,41.449000745818005,47.37795028245402,42.88296481948341,43.65098342676002,47.82201261813642,50.23453763243083,54.874428969752195,54.45282481623797,55.007583176435986,52.492586590125875,54.062360247362854,51.21288190403208,53.06983819855133,52.390433162913475,46.66550228209298,47.631370053638435,49.144697935676426,45.52092248249718,42.882383153337514,43.74646865769323,43.09078553919178,40.20018660797669,37.313877770462845,38.37401055156246,40.27202415495813,44.26402552643518,46.45953628213492,48.59670856359415,52.84357377249837,49.948495742123455,46.048326136632106,49.96488753861967,51.043516413630435,46.38247942203363,46.56106640426503,50.4173759946392,49.46229091407144,46.52251700916144,50.872415717974754,52.63210508555555,49.40316430547845,49.707827930680445,53.14040067566786,50.73841329695,52.221545994755694,49.8478336755073,52.09735019524853,51.881359088375326,46.29758520846242,47.35901113639091,48.69498598932561,46.25503822697858,42.64411910316693,46.94238854959457,46.24453615869429,41.16924682615431,40.83803542918397,45.03231481728552,43.70011205922509,39.96869421683951,37.012564310500785,38.838333847617,36.26861679406684,40.139623843924745,36.03399814608682,37.03621842738988,35.70446961764985,32.937253918225714,31.937901504401378,31.781880943345662,30.896964506282124,34.451485040462245,31.66732848630879,33.12662188925113,30.3587831661815,34.955086227871966,37.867209976019225,41.4394895223993,40.69981396219165,36.91300157139354,40.5808161537555,42.56432149779541,37.6155068407445,36.986267784979795,41.682795620441304,44.77516868164423,46.32230552773006,47.43207935113201,49.18883743786579],[39.29073491338988,36.717920839031045,34.31731917200773,29.810694604524183,28.972025502543435,33.03697901554217,31.788510181158895,35.79848523487359,35.24053301357856,32.64677096418267,35.44497281047535,39.13048902477937,34.69116961436901,32.57089854398801,36.56344813105134,36.98680340625789,32.28837539499724,33.767506813262976,31.193131376889365,33.38556656388335,33.67919853131021,35.760757879738925,34.34420236196933,31.26503871852927,30.45191866953323,28.694341478882993,28.988547818955013,28.868445101016754,33.05242479259481,36.218468410414665,39.91420728385976,41.48174387310969,45.59604125997579,46.54933866107206,43.18062819666997,39.162490991160176,39.63970476492244,35.25558059007418,32.9312781180044,36.2736664794207,31.37069984053759,33.34923129439739,36.697996650553996,33.77524862381737,33.24368364785571,30.68959060165626,34.17334297800857,35.87567927635418,31.816643465591167,34.84781851163863,38.605605732259704,39.74455101737994,42.30942640693633,38.088027237945425,44.07254336740116,45.17843358492403,40.917638733482114,42.91898806371487,46.99020115708651,44.485997071134115,41.4048240868877,44.830063961498894,45.265633264129804,44.43732002718842,40.75869436480444,39.67084197585162,37.066800951493484,37.37392999805407,34.272569534387806,35.74858863924927,33.68157900092875,35.78091600651292,38.58413487757632,38.850421583816455,40.625951480830295,45.828336180518306,43.41941840250489,47.88748676592892,45.87382938083893,44.9273298143008,44.83349141641002,42.35475079116089,43.25835945349506,41.77536459164916,37.67530944190607,38.473424905480194,38.82472710537311,42.9484187505424,40.964001044730246,46.602555372378866,44.27703386399987,47.31426149273635,45.91232254227611,46.14917278526975,42.47209933644194,44.35240683036624,40.91126025872483,43.64976023329511,42.7027701878187,46.58158270606881,44.22742205415453,44.503487044112745,42.58563580703814,41.63473315397643,41.19309689191863,37.692744436839696,40.58003952851767,38.10794995847856,36.4581395950468,38.06114921903578,35.03909374089087,32.49317831562573,31.905270878950816,28.224339143977822,28.496704950032697,24.80425086005054,26.081703133669404,22.19146447398524,25.748968253859918,28.945508887930846,26.767174107379887,27.243184383777322,22.921469454033456,24.458938204357555,26.859004300827248,25.277942598936885,30.018778112382837,29.12129518754187,31.038755801036544,33.74029306537911,31.196181506657286,35.14323076199987,32.644617660628,35.75352355926902,29.86717693528067,28.501087267012334,25.12125874899328,22.751020866347545,20.173637432397,21.97569204596369,17.67652728505452,19.545535301428654,23.01847679707314,23.81880780868813,26.83177612896559,29.815485176785955,27.996170407496564,31.34220607160708,33.017145477089755,34.237267922195926,37.547009217200866,39.876188989575404,44.41863029924471,46.93034977293405,45.94097622495148,44.35018031651911,40.56741399220457,40.34858459256451,38.18267078901079,36.411885770680335,31.564834142689023,32.76211754859892,27.16799912808352,31.059107136082478,27.77024676626536,22.608244762211804,25.567944499558127,23.07743012836179,23.37662614124942,21.425644674059082,24.697124095796408,24.601162365291035,29.15784797862806,32.41365167881358,35.25429243349335,38.67919435057715,38.57589642762904,43.226235516397495,39.70879937288858,40.660479105711495,35.69756219106697,35.73804758604333,36.39585005250364,36.03448077282386,32.80245181083118,34.02607557965652,32.56895232379823,34.50240676877161,30.7727466692773,31.9585765947039,31.328571933331776,32.38743581764869,31.29516174528912,30.89689829384804,32.39111302456775,32.9625525828342,30.412854741957272,34.16568163454378,34.2449624443053,35.85754536355185,39.586123877874385,41.01677491335086,37.36713580014042,37.33367986280021,41.80619632828536,40.41817483140987,35.828369783287414,40.174915677500906,44.7152034243327,40.41174195296097,40.41066803480491,44.4066338523651,44.15980170596873,40.79514710903384,43.252341515986686,40.63707174979337,46.48655246209207,41.33711362991604,42.32994999532876,46.54069666910218,48.57975458798372,53.16434798847434,52.59640880758708,53.44439965555614,50.94986635034218,52.580400568476016,50.01654084135401,51.52102439838012,50.59169258575902,45.13677612010824,46.14683451911938,47.167214621741905,43.493813360641234,41.126176030988866,41.866275169090194,40.69590949840962,37.972577001505044,35.4309555625186,36.85287554286886,39.22617556499379,43.132293509843315,45.51792142031134,47.96410332966671,52.30369776169712,49.772957870638,45.66226764812333,49.532934318703404,51.026532770577916,46.49973894883245,46.336225450725266,50.396382900305404,49.70803011232608,46.54737501765285,50.612661855594645,52.64313219505842,49.60009424703623,49.440488534147626,52.696825374303884,50.06069103947348,51.451568109233634,49.12594152261555,51.01868521323203,50.72784893139908,45.31899236789271,46.14005137392771,47.146806280881265,44.79204714178686,41.1685953962453,45.0454424296882,44.18318957571086,39.32164298339564,38.817030680386985,42.63896194239442,41.23254295646401,37.670700908892755,35.07564777837656,36.362737285187904,34.08446967172296,38.25865652108802,34.625634064613074,35.92729109356522,35.20486669679362,32.07806253260342,30.836915534935446,30.117765562076965,29.348528018173237,33.125623599413046,31.06442184095111,32.55120701958758,30.425905301512937,35.075883416028915,38.32603568494709,41.81832830486677,41.676092102085434,37.67119672925314,41.06289227333001,43.472055093596026,38.861548205454156,37.78289221467611,42.26379243065328,45.60604636981053,47.2427103068678,48.38334806171513,50.14921747111498],[42.28627834923509,39.78418148927186,37.578214399294374,33.09571761551408,32.553402238604,36.68739204896317,35.606953167439926,39.68488264245082,39.06930962131802,36.51944291954833,39.270675391472636,43.01961535462822,38.63307666387327,36.38508758682096,40.36277181928091,40.862124978897235,36.15232477088037,37.48634370788138,34.68142083437005,36.93228572030171,36.961277908203684,38.93609235538706,37.2891729536854,34.07785231073198,33.600781389906984,32.0321243831059,32.580278161504495,32.64339061524798,36.87246932381121,40.131176687487404,43.67657502657302,45.39755712705099,49.467795421789624,50.32216409654719,46.996816468901834,42.92371578532424,43.5201631634525,38.99195023039325,36.63448129466328,39.788207755350896,34.7785666756782,36.76269616211752,39.96984126908324,36.88112064645012,36.04100693337408,33.28959106504275,36.596366650101544,38.66621441951857,34.68087333703901,37.5057169916125,41.47731983038236,42.74866365327518,45.38602823764029,41.37513539373541,47.42428563956062,48.27431501778657,44.009274233271924,46.260371534684886,50.19443707985816,47.416244810378956,44.488909107270125,47.95765852227135,48.56549842710859,47.470860508562495,43.80566912266205,42.985854134538954,40.316601599787354,40.84895982776421,37.631979795052104,39.24181119305713,37.0368856675322,38.91685420966466,41.89992637842696,42.049421485136094,44.08171047263679,49.17053895590346,46.8553604959406,51.38632350925269,49.41589506304186,48.40579047988643,48.48154836018717,45.96113038712042,47.04495120913625,45.45325655535548,41.33843174467576,42.24827766059095,42.48035471100307,46.72032032707019,44.60313933411688,50.2834242703141,47.90057709102253,50.82358268419441,49.51396106749053,49.86946417408498,46.249920099577615,48.06460763979112,44.652570551718235,47.53334271704021,46.639095682032945,50.55123097656112,48.22255855579677,48.523575565266725,46.58664951213221,45.62397843650951,45.08798171889143,41.587159630461414,44.36656683233695,41.771741404886704,40.13150079254778,41.88135637413186,38.86834339484711,36.43730647339811,35.872700608236606,32.231894452166976,32.4825244981958,28.7873984126058,29.972670274602528,26.013765065609046,29.24977855604349,32.62879480871575,30.442111778788522,31.034943110847557,26.768782093878006,28.378492627901473,30.75815820422734,29.23927572373977,33.85080945249454,32.992075961880786,34.81071213089206,37.497050624159954,34.724589023259455,38.57966831321102,36.037765581060526,39.3379728403705,33.46283222448968,32.31306408264359,28.78145245692172,26.63671866455031,24.161216459050635,25.94516172995805,21.565011358632407,23.115636299332532,26.705270059997634,27.68414064361815,30.60857992292224,33.704544582467605,31.96076817459238,35.3493291288678,37.03618540623377,38.238531366061935,41.521370941040686,43.819151928118984,48.37658366517462,50.80214938880351,49.86854005918623,48.34006628990679,44.56636403779164,44.36101855249714,42.200470046881385,40.4071247157963,35.528440760515004,36.68417182572522,31.04136153476998,34.80819970534594,31.35757286593997,26.18076788753708,28.93975923664072,26.11810774091772,26.51882589622709,24.914739902795922,28.249398773658086,28.382745660301804,32.895714809804645,36.20840828572216,39.10872066031315,42.58877283894172,42.53325475157187,47.13401561362576,43.520514451211966,44.46102750511018,39.37867749827534,39.54901130790511,39.96732895195395,39.41658888458846,36.25954946519933,37.42362000802064,36.02005148713664,37.64051566007288,33.736455878341246,34.90276299314089,34.16395137479613,35.4572482443954,34.2910597042655,34.00473849966151,35.47548922304234,35.903731912761415,33.55908484399295,37.30025883630219,37.36855418420731,39.25403637174914,42.78355879586423,44.42912652904857,40.83746182483354,40.51008149567833,44.99283581990432,43.76736356485516,38.97075920746738,43.186545312558195,47.90766223018626,43.60163263828996,43.37921700203771,47.35690590559196,47.29187554116862,43.76154094424316,45.975408297905645,43.30070392603504,49.140366957403444,43.67294567319011,44.942591192536206,49.16113975821031,51.07064495051499,55.53442141294712,54.99207984592131,56.10690010285725,53.69721665252674,55.40796387302454,53.0436527084281,54.35634325796172,53.24463510434763,47.97774306590877,49.04858673112745,49.746218116309585,46.035150877639275,43.881854031111246,44.54966864016258,43.004815373096214,40.404074204235506,38.15818991716336,39.76588932420338,42.41426160902405,46.25506645494371,48.70888977948566,51.30657720434169,55.660473673898096,53.29907271948367,49.10694744380315,52.90416743157827,54.56590000157776,50.08571820758685,49.74438007224132,53.838173309514424,53.2146564777904,49.93708316449387,53.881258442540144,55.96981798275864,52.91511024271249,52.57230497979749,55.775801429633084,53.072851979833736,54.51159607081242,52.29008626251316,54.01799044799556,53.58834507490345,48.28782905286772,49.08017793243549,49.83381373222176,47.47450559542695,43.95578449256684,47.57902249675465,46.48622177206291,41.78933687395693,41.304912736410614,44.80264106382536,43.224257519438986,39.78980391920469,37.3690052970471,38.16330028249512,35.941902564079655,40.29581734237645,36.95783740974252,38.608940644960306,38.11676716687445,34.68836127152496,33.526151218577034,32.541505838553704,32.03291662564205,35.994582475718175,34.34347114348469,35.93684191683344,34.04338329670518,38.59287004744771,42.00048633283212,45.431400338156365,45.434756590871814,41.3289918500338,44.558911285730666,47.06771518333391,42.54927027054833,41.23025580662744,45.61992929295257,48.98747079603753,50.64182954149897,51.796000703683646,53.533045361084504],[39.90176385169006,37.33499465560555,35.150967437982324,30.88186629290194,30.502247293387498,34.95586403773982,34.24229122142411,38.46283331986495,38.13510929483508,35.97703144104598,38.951206220832894,42.58133103182185,38.3909984572224,36.337435281048194,40.580712617598486,41.03654568657255,36.438052484756895,38.19881427217101,35.853700910074885,37.98931231494445,38.412599374647115,40.42478335375345,39.075699162631985,35.95228294057973,35.08475347074839,33.39285398455018,33.49410645251599,33.257213554922096,37.36467900819201,40.32022889268954,44.2483822405695,45.54559670500797,49.740692089864304,50.906588770000106,47.47213798364522,43.54371390931087,43.76192222561427,39.55377790661949,37.13273266789391,40.2817889978963,35.57564976940538,37.83455387553812,41.11367022695949,38.105850198638095,37.62754655128714,34.90694526730892,38.30533060998425,40.06009505405771,35.804707790561814,38.54892662724079,42.468880217889414,43.51046728279642,46.22796006438826,42.116510229242095,48.13494590173226,49.33424772856737,45.2166893927209,47.29571261227805,51.370931514677615,48.87176436185063,45.9585664535969,49.493790425934755,49.94315102950433,49.20713850383822,45.47785335559882,44.33583646493366,41.833980087760565,42.03783955997983,38.95547098983842,40.26218430846798,38.21810079888278,40.317807178824005,43.16859857536418,43.58377337792391,45.27021111895329,50.54962969052116,48.093304358706035,52.51654301415092,50.42491455965366,49.414476469099306,49.11906176144431,46.472819285659135,47.171953548809604,45.50218661336569,41.466790219657916,42.47768613966161,43.121972286773165,47.17016150953484,45.44447880813655,51.067768499098584,48.81853132717693,51.92889747321531,50.41424649240889,50.49344739866944,46.67717010332287,48.499920783295345,44.90862791783534,47.59839380269274,46.414064925330244,50.01012430741333,47.93472458991513,47.79132746940906,46.15676184709319,44.74622174189106,44.19852372714393,40.39997179870805,42.93682322545256,40.138682918602335,38.29163014492662,40.294080790519715,37.214313512975934,35.194580469078346,34.760665441437204,31.374788910765506,32.11053030421319,28.574409383041626,30.244006485582748,26.532571045341662,30.400339632436612,33.3901253141516,31.09033193844705,31.267783460665047,26.76678376637226,27.924404262216953,29.88414531612956,28.12900882207067,32.24816563258473,31.509430605947905,33.148888460010994,36.06090054485295,32.8743203945247,36.753487177809724,34.48388172205496,38.0315654787443,32.13204819139956,31.165144285523965,27.117814672650102,25.45817971411231,23.297430082758183,25.51057161719979,21.754370548653043,23.881233642437387,27.434944377237564,27.944774084061315,30.980704595638638,33.91975343150928,31.90963431380263,35.03389392111364,36.37308208424083,37.41587026233038,40.394788489820485,42.77920769326285,47.2368948424297,49.623435005482655,49.02023302966415,47.5525191716947,43.92757914559595,43.506909239109476,41.715766982517735,39.57959453774881,34.917703726983284,36.57590378371198,30.921597437913626,34.8656286364037,31.2305164786386,25.94052559063188,28.33253842836183,25.533887867571707,25.374282614567903,23.876261475723723,27.19835537481159,27.618501402259756,32.37142287680948,35.75727663971391,38.784817753500086,42.10572636018171,42.28615448762461,46.82263794981527,43.34505172654968,44.029936817597395,39.00228491354542,38.716291230426975,39.099400027468214,38.608584682913964,35.5633588151342,37.297833963334696,36.24956273272159,37.98024013741549,34.16250434945047,34.91140934329859,33.91298995358817,34.919613929695444,33.34065290991957,32.73397647788262,33.91533613870731,33.98190747999272,31.497110672561853,35.08764520661285,34.8969709518899,37.001297737150566,40.25823712027301,42.08016627019773,38.54039329978879,37.858329481689616,42.328588040940495,41.26209068921318,36.26370314799309,40.33628217888533,45.21754791134911,40.97258960624428,40.54668101762786,44.49442431187002,44.65577810424278,41.05391013956502,43.02833929032156,40.26885376393411,46.057103380257466,40.378722056907655,41.790715349151554,46.00351789531187,47.844933818992715,52.23238591816924,51.73650293865103,53.03108888404076,50.730213888708256,52.5670976301179,50.39800622436821,51.67777524764287,50.36044397497764,45.178864431216084,46.436406760214936,46.98915882961342,43.14731503343722,41.17612712728556,42.00422924722929,40.15547148517963,37.47035893672898,35.62497289442644,37.091320474204025,40.127855340869665,43.88930337938398,46.231496690433005,49.031158470911436,53.323620977400424,51.19882836423201,46.870666338566586,50.475787108308815,52.342782531920804,47.92073499722034,47.30797276674638,51.42425439030636,50.89679831552813,47.472563509775064,51.25762611883936,53.42586760113426,50.41625222422334,49.841663892163815,52.9696163295674,50.199836813408076,51.68135241915437,49.58566270279345,51.19447371892448,50.604006512602076,45.393244872252744,46.2224888894484,46.77012103811753,44.378593482892555,40.98377289809186,44.50039348446709,43.21225588920888,38.590845414761816,38.22076345358817,41.56534571816326,39.83776182050774,36.43747611499039,34.06558786641379,34.66496781513815,32.46586271410321,36.88150583608273,33.72094283035333,35.54368096755086,35.29706357312587,31.693304847289173,30.50394271249493,29.327270816640954,28.98867282677282,33.075200137624094,31.807741983567222,33.588024747059244,31.982742672178297,36.33681680937554,39.982619179029996,43.29297043906345,43.614443432234744,39.34845015509404,42.31716422425141,45.03729049920928,40.76722843987455,39.098540774311004,43.31939340132162,46.78687310547217,48.48818246267749,49.67426006713387,51.408567825275426],[40.180135674644646,37.855390696497615,36.18917087796063,31.810918434393717,32.186210241156594,36.39127568834311,36.01690856511808,40.380561843918045,39.81766285360576,37.8898300347671,40.80650210843047,44.55280884592327,40.70990885544796,38.34991453988654,42.7750797607047,43.49966567318444,39.0303406399935,40.92814906494902,38.688436067375136,41.12970832425097,41.58835522630552,43.85088235059696,42.42230302476272,39.371456325407856,38.579226342065276,36.64435403820816,36.831955170297114,36.33095944262813,40.330409024903425,43.18665483790136,46.870540524456565,48.28073502502938,52.40486803855924,53.74388681965225,50.457489338952804,46.58441038540287,46.88373251419762,42.900952702056905,40.638097617968064,44.06239810489834,39.34825084244041,41.38193460499442,44.800064945441925,41.912240524080346,41.4149683104312,38.783784872069525,42.20290396086899,43.9809085705093,39.80680570352973,42.64908961533202,46.518939431485336,47.56630221750375,50.22701755566285,46.01917902722024,51.98799166046316,53.23787832562814,49.045988292452165,50.97974261307201,55.10569087918961,52.65843425952796,49.56635106615553,52.92662241827202,53.23505930636359,52.41949217686522,48.83319083808001,47.65685147167605,44.81957685855496,44.905868028179945,41.533901430456275,42.616290612139046,40.42514445653367,42.30254289422303,45.41035531031648,46.093391144068214,47.927475744823575,53.35107746967269,51.164441317027155,55.584728593726965,53.67949957064653,52.87562399602776,52.59787143248449,50.119200564431445,50.67072062186143,49.190005688660484,45.16910740878241,45.97350822264,46.59866378136195,50.49920937215224,48.669374064508176,54.14524081811195,51.6976329129258,54.64513205704159,52.981756716684245,52.99747185462773,49.07192635179456,50.64596104331134,46.94329031893389,49.94429118947884,48.697965112333684,52.231114329679855,50.566177216490274,50.4248500577351,49.11188244205794,47.63398630754302,47.39719024185103,43.37926417659544,45.91568027020924,43.117920896793656,40.96096299330272,42.968068731604816,39.619308892406785,37.865580651189276,37.11901378811805,33.96805294107782,34.586837176899905,31.18383790401345,32.99134706001419,29.39430653872701,33.17368925965707,36.00679135230485,33.44561211693823,33.484143381799434,28.976028091783846,30.09508519013893,31.87977287071557,30.55982303639948,34.39894165005617,34.109885204379935,35.85157381894941,39.10658709887527,35.79733265043556,39.79582975039377,37.81668236801803,41.394220634549555,35.48318106552055,34.38227288288383,30.092523715610835,28.500018536302047,26.237722832493873,28.724896528429493,25.087337220213897,27.48773663687713,30.799316420716885,31.24465257271133,34.43588749063991,37.10608519374323,34.96325620482001,37.89084763703332,39.1704456983319,39.837725028477024,42.7730118079981,44.84696907460623,49.41133162901734,51.3914907325414,50.97284422761992,49.82200358504819,46.30151457173931,46.05533146289443,44.44215725345721,42.479592328202905,38.07855726234268,39.85291492006407,34.35666458095329,38.48103425873082,35.039997891747575,29.765954973962316,32.194696607062326,29.516846481425574,29.115466921425426,27.512557320322834,30.779889411772274,31.110222262091018,35.97875611910382,39.298979611635396,42.238917932676564,45.42022550767166,45.45000601130536,50.13466350877587,46.86077163906077,47.543626031740054,42.681379365388985,42.103124715166686,42.72056504720018,42.3707471857011,39.33205191589645,41.2215185742247,40.142656120362034,42.03943651116546,38.24956708955394,38.996504326000746,37.98418684086245,38.87173898608361,37.17551182910416,36.38798991889833,37.386664511683,37.20582173905339,34.512575285769266,37.91615722057654,37.33708466453346,39.47538938969353,42.478013504985896,44.28572321436044,40.692916148480734,39.707010293607006,44.10678618025177,42.94320524391251,37.65708892922728,41.65096240893108,46.59741364827532,42.096518682414874,41.42221524664358,45.32415142716782,45.51406988591457,41.62212359583167,43.398905604853695,40.73742668591629,46.56775106726929,40.861942933595564,42.657229416281716,46.84537996774566,48.86108554477566,53.02991037925214,52.82761617697183,54.44940111202551,52.41359135086589,54.4958983584645,52.562864220623446,53.93516555577324,52.33721575270412,47.21069359540012,48.78494727210079,49.24566487484402,45.19789019220843,43.466817462131864,44.56893413326165,42.35136658198853,39.50462448331214,38.22406953328898,39.34332561844995,42.79683184087725,46.48273942794499,48.55911459385979,51.5326281168263,55.67538850557859,53.71161074225413,49.27955712810619,52.57147704314987,54.51988132767842,50.07160696747434,49.18338687879075,53.16698046142917,52.56428088220595,48.98074324968772,52.70005268557882,54.76259235930766,51.56260864530461,50.90607204049711,54.06637565443143,51.364803131923615,53.108425064410156,51.29541413431246,52.91383210464081,51.953693141013325,46.80445826797318,47.946179074504286,48.203841647792345,45.636782622921274,42.58664619110425,46.101066157665734,44.36363840371008,39.81535076166099,39.86594103274353,42.97720440984085,40.84335936992765,37.45666515831587,34.94091411177981,35.18271405508326,32.69634443594242,37.115041563143556,34.058218036772594,36.335339768818784,36.057170535465275,32.11955524382647,31.31242062267915,30.146665028919063,30.312830436944072,34.628234612799275,33.642524752595776,35.83932560337249,34.22553281880651,38.14453209179847,42.02639660675747,45.187397574005786,45.51733282420211,41.073219200274956,43.747998364801106,46.46465618786734,42.29145500034425,40.22424319868294,44.33152781369374,47.71073953170168,49.41355505222611,50.63553362826125,52.32366553348742],[36.936729285595504,34.821484061784446,33.593367711565065,29.095713163818502,30.14403871688632,34.014456298583376,33.96477564192735,38.431665343684756,37.70262445274816,36.105712615546636,39.015501374776285,42.78509983277365,39.37267998012951,36.83572820916211,41.493149052356664,42.44277167858277,38.204625816086384,40.445414800680254,38.639155913789864,41.3151830815042,42.10245857015087,44.7071181001532,43.45051670807943,40.629408708479616,39.58593787281516,37.23953138253143,37.22639074016208,36.23158398458102,39.990836833028844,42.562457044132735,46.138441579250966,47.44845398191185,51.52252720512868,53.191496237938594,50.03781315384249,46.33507737853242,46.54919481046665,43.041237714199006,40.9944729508041,44.84322396625862,40.30923020530213,42.12202943440553,45.7876540713284,43.205783007491405,43.00512678316475,40.652477011267614,44.22840391344801,45.66811985695318,41.50670993133485,44.590149532587965,48.197347699050724,49.097215410484765,51.63140976775643,47.15019222936652,52.96432442839106,54.53953498186968,50.31839721730075,51.839276101738676,56.13693030995772,54.04187472365931,50.64630637578727,53.769678851158396,53.746769138419744,53.14315673063301,49.7126957252859,48.22386725653148,45.13201757781077,44.83509124926917,41.30364622473868,41.94796138368243,39.76801072806862,41.610580483927926,44.79304054294329,45.919673706171636,47.61149263792737,53.28773902207414,51.30579323110103,55.61663655185507,53.870913699022694,53.35558659137498,52.887775060412785,50.62719603758192,50.78968245486458,49.612646709191914,45.66592998299071,46.1552002714139,46.92856922128678,50.49830860272401,48.75223746621232,53.9754778273932,51.39998414628668,54.28063437263272,52.34327006589507,52.130696173054005,48.02267521277802,49.36274518760098,45.5001308376371,48.668699996727725,47.25840940759529,50.60836552682873,49.447228489899004,49.20856608088366,48.34327528650085,46.73262498530116,46.93693533159996,42.649307264293014,45.22851408322923,42.53136939575551,39.98788110738021,41.89017020766265,38.228541898427906,36.77068518964201,35.66799684108311,32.84816595669658,33.443525787632886,30.292950370037193,32.41198024762326,29.132541303668127,33.12879040756926,35.50495633076929,32.67178079306419,32.35624244019592,27.823045371485268,28.703356431781568,30.169476439902674,29.282650722690136,32.753103467566916,32.99055783297914,34.89260708418057,38.571386286112954,35.288341743873396,39.48685142182576,37.931297920950016,41.38103175455757,35.49150368589451,34.09241812921924,29.610045398786188,28.025550783980727,25.681776305238674,28.543201914860262,25.34442026589573,28.33908220734604,31.217958396203592,31.34194665754015,34.73999694203425,36.94475785092607,34.56755404352715,37.13685774231497,38.252790144127175,38.460349350310636,41.2862696920634,43.02654005941441,47.65719261482258,49.229728943031674,49.03099087722167,48.20707672421277,44.84971152248729,44.75630613249165,43.42503420174012,41.63711992174391,37.650030785342196,39.66599489437538,34.462059934199814,38.86520739696971,35.77889254600726,30.592825383951688,33.11593502727682,30.868917829382543,30.03683727228366,28.080097488495085,31.184225920869203,31.275568054007213,36.286583079830955,39.46122447098861,42.24348474532224,45.16155548601925,45.01983386713369,49.86688472873384,46.95526081944043,47.59883501716607,43.07395933117978,41.98372452207609,43.066297989246614,43.0523768858198,39.99614562303377,42.18209402043482,41.092314360518856,43.43005858624734,39.86637894726228,40.55464395292174,39.588751346943,40.10377232901754,38.29317122121528,37.16767403958512,37.93931335600195,37.56771928800597,34.44092896609812,37.60373590173879,36.553380464759606,38.48621712228918,41.33972428612241,42.93358992504236,39.24066292863123,38.14138146023971,42.43716899800486,41.014848727532154,35.574927175566195,39.58814042686433,44.441177900976754,39.64517575884696,38.87530686032678,42.74057250988905,42.801002041717254,38.719192203754524,40.49046361527746,37.99847024037525,43.897290459960395,38.47738035965998,40.447687511437216,44.60228321225159,46.96237982684795,51.00110151931129,51.12276440430572,52.85724910291606,51.05041800306009,53.34554527291819,51.50061727576724,53.173073220704055,51.42316338974672,46.17730917098458,48.073713278303416,48.744895332081505,44.49106042761637,42.83643645214583,44.34175598194735,42.06145699355793,38.895264388333985,38.007068258844704,38.51852766664112,42.220590925756746,45.86388002118118,47.54488671528917,50.585423920128065,54.522252532156905,52.61013703525752,48.13355805150479,51.10136903871032,52.99679266981768,48.490205412652976,47.422978069550226,51.21196519684041,50.46816549439121,46.800967940968675,50.5427896773037,52.428530279862194,49.02144335072177,48.430062525071286,51.676247017945336,49.1187139513093,51.12698075843944,49.55410449217087,51.34126729774829,50.07573264564791,44.89531690679045,46.440634068740216,46.60263676586659,43.829068398610254,41.09013401136349,44.85969003754887,42.82411197741204,38.186653041320106,38.7264679937216,41.89998441156485,39.46434696950725,35.949885361116785,33.067850317914136,33.419106290683004,30.510514676002447,34.74356987196945,31.484222635132745,33.96046819063183,33.42496162341066,29.365566179387656,28.946434974237693,28.059650465274856,28.5852395772205,32.9987303235269,31.990581863457106,34.60061377476409,32.8102528583873,36.251786223880174,40.28204634183035,43.295220647830334,43.54111039067442,38.97687914776994,41.40913485379203,44.047608216363884,39.95264960623589,37.589877071123404,41.621001943228,44.88342493075724,46.57836313615935,47.83764514079889,49.502032976473835],[39.37232871122731,37.27378779492106,36.17269483720326,32.02480617377678,33.235190134943956,37.39470169717342,37.65297339964651,42.171020617742954,41.66216321085093,40.28982135270903,43.28608922675848,46.9760156454881,43.63103795447418,41.214778995585775,45.925314197771286,46.82090085521699,42.59275304107626,44.883240636020794,43.0664742621822,45.625285222950524,46.37312633132439,48.82039142887926,47.53822721672654,44.60145869844789,43.615953829790634,41.45433263708845,41.40291432433846,40.51909076875887,44.30788051001658,46.83470187321244,50.581354961220995,51.744568679595396,55.874410272035924,57.578674708306906,54.34638413824707,50.652042361887354,50.72780222886463,47.17953526794494,45.00080997250198,48.580281047698136,44.10281342664689,46.16581313292749,49.70401243676095,46.961102676905966,46.683408198023656,44.12945583007456,47.6035793463108,49.197808512522194,44.916010010610755,47.74209833983584,51.536505295848144,52.426725088067414,55.09602020547118,50.77934951596712,56.66625826837476,58.19233942167845,54.069310411236906,55.78128255439593,60.02509841821439,57.810664417282126,54.621125917556704,57.895714425751024,57.993151898892776,57.37139811202546,53.85521537737794,52.441244133933665,49.4948561958202,49.26783725076665,45.80205672382943,46.49131188796343,44.326300651663814,46.165671434811024,49.35017529845877,50.42167144355919,52.109592555390535,57.74778075477117,55.673036023164336,59.99118268411687,58.146064077660135,57.4963496472256,56.96143669046557,54.521239011697425,54.67667287343038,53.27727378859248,49.35895760827841,50.08906770034401,50.9988430211145,54.62647841685294,53.019497800779355,58.311908767991895,55.82700730176108,58.769857221195196,56.847703035305464,56.60487512981905,52.47414898038708,53.838578748184034,49.94345030124947,53.016797633047325,51.50202999209011,54.688674667776574,53.58352195864763,53.08249734765073,52.28575235237164,50.405412419516054,50.4014691516574,46.016946303890144,48.30934098575873,45.37204918582202,42.82342691924243,45.02679444714588,41.45829537070158,40.30701562859566,39.43393430474251,36.745177332795635,37.63877099287031,34.530874127544294,36.7533527310502,33.47747791765632,37.55502373774477,39.97222114685333,37.17838752872715,36.81210626332431,32.233842569420446,32.95469563326893,34.218484572838626,33.09376412139512,36.18843979659143,36.375140955149604,38.003167132018206,41.65148665422948,37.95092224011093,41.97692908942167,40.48646821108565,44.24459735418149,38.40640576719418,37.38655871257746,32.60416000158695,31.503191325719328,29.48114690695342,32.40247244357977,29.35820015077477,32.243682728382836,35.33452155471272,35.41690457795167,38.74276405756357,41.08166544135635,38.68132469709857,41.218547057278194,42.16066248696393,42.391357952862435,44.99023051835584,46.84700170881165,51.354928270976515,52.925824778647865,52.958482638689894,52.14012001998022,48.872020913744414,48.59303815254215,47.444416333366334,45.36676365384589,41.4019306101879,43.62023513636328,38.302554349648595,42.62357909198286,39.218374154577695,33.95560266764582,36.09384654269487,33.54599704926403,32.59064951511767,31.05759809757103,34.19685381541325,34.68081108150651,39.7190026409322,43.000803186595306,45.94141173605992,48.86259517587151,48.96488026042318,53.66725839363494,50.675828436766196,51.15165805324815,46.495285354122416,45.356088492403714,46.09962930800487,45.89380354056078,42.98926007104474,45.39752292166625,44.574152550682534,46.62878824421578,42.94082356847334,43.376219778847855,42.16285599769317,42.76156688732564,40.68421212035035,39.5342731796322,40.143359743788665,39.463723315576196,36.56411814900332,39.607366171403164,38.4861019580317,40.82329284417193,43.28791273892285,45.22933492068321,41.7074872894999,40.12670779817121,44.36817221909248,43.29998614822626,37.656712128847914,41.34298943643221,46.432573669919975,41.831439077953306,40.721051609211706,44.47914767924255,44.92935485366805,40.746228049059276,42.03959899643009,39.43038479122703,45.14996270364414,39.267251508222806,41.574869192762904,45.66583556937593,47.73853551468791,51.56113490181524,51.68674317993168,53.796294823536805,52.14159787357746,54.54846784480639,53.04851805627475,54.43863165105629,52.40191677126412,47.49137568288975,49.49992215314429,49.710376492937606,45.41457552348382,44.115207451475094,45.57466663529557,42.76272364316548,39.76357754956716,39.39901191655651,40.08242370816735,44.20022137002504,47.68594941922457,49.40786282712363,52.688091842684194,56.600089358066086,55.023340570302345,50.42759174245972,53.22597402539679,55.42401908798046,51.0625276900906,49.682890710186214,53.521114144086,52.952243606896445,49.12650401382452,52.57779476381728,54.600148317536416,51.30550609044053,50.344300387121024,53.41896154001849,50.74331081721926,52.752818716646125,51.34823986634797,52.827953877106246,51.374699997262006,46.44999050685576,47.89304699261659,47.65994372817664,44.936975930121605,42.3891061487234,45.71354961299843,43.37045664994832,39.068412817849975,39.62489743466443,42.27699319832662,39.62854506061674,36.374161307429,33.848282741624516,33.4738825812375,30.790598698882178,35.1896345296328,32.53150218247214,35.40840360591546,35.37301325534237,31.017274141774983,30.592686017242286,29.256764447802354,30.095833166455606,34.6248520935091,34.316450791865826,36.9939626120657,35.68766586037536,38.95404966977337,43.18505373659845,46.04961849136765,46.67302512922348,42.002526589543784,44.11990868189912,46.989915202083864,43.204410124150264,40.48476090286634,44.24579488760536,47.58507593172766,49.310301284703726,50.57736782499538,52.19393649344196],[40.3925571559788,37.935753316741206,36.16666942906681,32.245940483083885,32.56029389955195,37.25735174780707,37.21650098910464,41.62984446474467,41.50632961952765,39.90774659750953,43.035272261196226,46.58858366759954,42.79574271410268,40.77500561405762,45.30965859183619,45.85785274885928,41.4375202410183,43.56290870052698,41.55917824811452,43.71040851218744,44.35322758872175,46.40504590183442,45.16934918417764,42.07030950601599,41.075059663311144,39.31751194734219,39.18473635296841,38.69573356821005,42.655740106443155,45.317242005811835,49.43860848618319,50.430933345205965,54.685793015181716,56.164702867767076,52.7046375480876,48.920103365797814,48.85377393981361,44.9673057399218,42.52251059400841,45.60407419403424,41.15447772016439,43.60819909549005,46.893655448252524,43.900906614904294,43.56413186797052,40.779172144052964,44.13797909953224,45.832727741970615,41.408140700414485,43.94013892631948,47.91947366793624,48.814478995570155,51.63559477324247,47.56162798758777,53.55230149061345,54.94523968517089,50.967902634710676,52.9961203298352,57.12543212628135,54.74083150000164,51.90204460086549,55.47594148639411,55.839274370939314,55.25813716221113,51.522179072374755,50.23283674141685,47.752108330467664,47.744361278461795,44.63269768493565,45.65375258819346,43.637209857171925,45.72802227340365,48.64300127420515,49.32975448271956,50.888531761693955,56.321420435625,53.87483768655248,58.22279110051445,56.098543609513946,55.11000336502087,54.55323358824956,51.806786514759565,52.17834430897471,50.41376389238845,46.482530768684214,47.60759354538262,48.58657536154582,52.45480712090929,51.015702653507894,56.547411331298946,54.33906050550662,57.50437492812592,55.79610167318252,55.648322150459826,51.643687735363585,53.33894148537898,49.558716008401866,52.23504001969717,50.7624514302337,53.99236968574989,52.36251507997558,51.74923406607842,50.550297331303945,48.62640052907779,48.099598293458996,43.93637524945712,46.08496616634012,42.99272793344441,40.838033636559096,43.22143751794993,40.027649705757895,38.676652633739735,38.30777721451033,35.353378471699244,36.5284923420122,33.23939385788224,35.34521517218628,31.894793101815004,36.0928740727801,38.76685388913828,36.284463703203926,36.08907533285181,31.44909091998008,32.17910391018477,33.60133722960942,31.818316596432883,35.12913105026424,34.71543291850034,36.08102791983629,39.295472093444324,35.479893206963595,39.27671429432663,37.4258029087805,41.353716323242004,35.53210714579771,34.9009154328504,30.202356366419274,29.287986323646393,27.537314914688736,30.1921432052892,27.066476330653828,29.5709599868015,33.05589126117942,33.216156788500015,36.322318164036815,39.07315224331127,36.82387582872463,39.613780911866634,40.56282885011472,41.28725930337032,43.86267617707338,46.191923929644474,50.541187187970266,52.65859445716475,52.54396062790941,51.307923759794015,47.91794556092573,47.33011341904681,46.02047846975203,43.57251288338526,39.25768790770661,41.43033779884216,35.837946145781636,39.89244695093323,36.062371730539,30.73974106403209,32.59291034240572,29.69443258330702,28.950075677770496,27.81824855811913,31.061272856546758,31.897379767276963,36.821570205967205,40.25758600768168,43.40339809844072,46.520556570643734,46.93953895242643,51.387991780549484,48.07378572690851,48.46898766123719,43.509724723947535,42.7343935655835,42.97093589917588,42.45525195210414,39.631578385805064,41.95930546636696,41.32029582150189,42.98003628944577,39.16487570692173,39.46135257729153,38.118967308694046,38.935908978357574,36.84327235686731,35.91796383134121,36.66463220398134,36.107533104391415,33.61485869792051,36.8668966357158,36.22281450546891,38.79054471920352,41.40117921497454,43.58930429626072,40.20096760215715,38.742228483526084,43.1046038096438,42.360690130520744,36.925642524100965,40.59650935077171,45.788697850449076,41.595476787439345,40.63805370376415,44.45381289548022,45.073471097002425,41.19019890217793,42.53692422695372,39.68848705681137,45.326246952980014,39.143666438812865,41.116969107274116,45.25952316489002,46.927264025165925,50.97635307542103,50.6714728424227,52.54974227187947,50.58550934559984,52.72256117952146,51.084256823837826,52.16990065969331,50.34333173562816,45.5234452284927,47.16425377077988,47.20664282063664,43.14305000014233,41.71408816478112,42.762737135048795,40.08986497960031,37.40223283758664,36.57201175485333,37.87095699313233,41.712009375227616,45.236335934575216,47.376742183531626,50.581172369054215,54.71492921354644,53.098551926750396,48.54914071313961,51.70932974690235,53.98073503232866,49.705870989980994,48.524423943241516,52.60724652932797,52.23334760514586,48.51205445111549,51.92836565944581,54.18955964935639,51.19294485051676,50.14366395176895,53.106148664383596,50.24357421621548,51.896228948694,50.17208456901208,51.468693433769175,50.42644516002686,45.513963120387295,46.46099457155768,46.405586725921154,43.93945557496492,40.973804599202694,44.06295637441812,42.161263072505555,37.89921597027317,37.854895461812426,40.5492832910203,38.3370347710283,35.17493236563985,33.03937404741197,32.74389813325194,30.581988785419718,35.16736533117378,32.644530863021714,35.14046384002548,35.41806293740647,31.289125367541228,30.30186052304424,28.661070547055797,28.97774316613428,33.3533505707978,33.05434620520561,35.24842346459693,34.20839192479643,38.010944062731504,42.08420265628813,45.10252537944379,45.91752200481565,41.380965592793224,43.76171831843181,46.78194849693207,42.97146232167583,40.582842501124425,44.41726493906482,47.95158067841701,49.70304957176886,50.93392674310905,52.60100998320514],[35.03601200670804,32.48768441894222,30.574560303787866,26.594488165470402,26.833751441618023,31.523313045106594,31.522204837697068,35.952608658456825,35.938776741936366,34.52330054475246,37.75674933102371,41.200010081855865,37.55247330081894,35.68634381761588,40.34975844024011,40.86811299831346,36.59781835290753,39.06788478015615,37.56114328601173,39.67046934116625,40.75308606749557,42.99504158207688,42.10529850850455,39.25052081844201,37.79556960797203,35.73218182011946,35.18736317701709,34.294435766463,38.05259350388553,40.425376336503625,44.73751454423422,45.4270031036032,49.72054889844415,51.462475059408426,47.99240446485529,44.37752212972218,44.069728045048755,40.58844969408691,38.252017365105274,41.62439693763769,37.45433759694323,39.869914690358975,43.35252496063801,40.66240728419473,40.78958737123149,38.31197671360737,41.875287107837416,43.03938052752105,38.53500058409865,41.30962481628985,44.95495323950342,45.622909886885154,48.326599586165955,43.96024937592052,49.789750770435525,51.603326005738325,47.673653031454954,49.27477375254922,53.59696930176356,51.663271087584704,48.59868454209183,52.04562332161581,52.10438984600632,51.92599707266334,48.23630173655228,46.53557150564442,44.10282058506087,43.688404371596334,40.70834369211817,41.38810170573166,39.57169992445638,41.90180246854978,44.6023601228262,45.58158379774531,46.753591377802465,52.37430235637223,49.87856212846427,54.07873272785732,51.94524379897431,51.11399500225054,50.25187595581699,47.606015516055244,47.58133022332351,46.018587149211015,42.16848747871916,43.096206480729236,44.33402828008288,47.90964931668132,46.731520383667075,52.09437575200089,49.951942435851464,53.23617690709597,51.32146220659255,50.92426988562879,46.784847788002075,48.47644239698004,44.59669898788666,47.10601369838957,45.461076508088134,48.50976406422682,47.068207147278706,46.284848663784054,45.324348691166776,43.25762001294606,42.97000983241899,38.64176590353494,40.85801223516173,37.87284441143275,35.507939775961006,37.778767575601954,34.43906245008295,33.19114225076017,32.72968257011818,29.939168495809174,31.300585582499778,28.188627424270965,30.626070314064684,27.488011428703803,32.16221430302487,34.37357698482189,31.820742232605784,31.274442858500805,26.55374751299036,26.949489039236234,28.113389600412933,26.31051273942018,29.445683667333487,29.206788699640974,30.674904697323242,34.136523948214425,30.433059452465066,34.43754806539181,32.85144970120626,36.60217678879184,30.762811484270852,29.86049776979499,25.049214996091017,24.110182057669814,22.389422824241986,25.344018648542555,22.77049325049145,25.885741189091032,29.033559088778336,28.768082027497375,32.008135711850436,34.416566985317544,31.961031003588136,34.47938974776559,35.24469595199152,35.789960017166095,38.260745069402304,40.551739397681764,44.87680876507026,46.96704900426273,46.938535483334825,45.744646734740776,42.44008913569482,41.822725261795476,40.703807817938326,38.240485618493736,34.177878380338406,36.610934624326106,31.215197417127893,35.491835386025286,31.92200157733727,26.677009180386587,28.613325296085648,26.224317078396894,25.04409594414542,23.47908583272027,26.577201118770674,27.199665982689734,32.25876724273275,35.5878934627766,38.63703586913414,41.55175104921653,41.92891344672158,46.4417184976572,43.392183824736996,43.720818753209535,39.03371879803751,37.83315219402923,38.470159973402275,38.28714504804586,35.41530320099563,38.03852764248559,37.4325452291348,39.563222978817876,36.05162854473759,36.250289941333605,34.9922168244755,35.37017792359055,33.21868814710209,31.968469507681547,32.586443269261004,32.028313155496164,29.07578830452307,32.24865099562496,31.371587255635518,33.63791986633908,36.39612146102894,38.32264982286029,34.80985687634113,33.550739764032116,37.92730817210604,36.93214005544672,31.562634788318924,35.43269284410717,40.4814677016065,36.16098721702003,35.38766550033882,39.269856287311384,39.68255454804096,35.88326225181052,37.508619016645454,34.71595947881496,40.47233134018275,34.65321940352706,36.36969841822646,40.56003059982541,42.51702209477338,46.730039875468336,46.491981902782676,48.099327151896475,46.092346994737014,48.23546855655101,46.391190836181195,47.819221186313435,46.12630503201283,40.98980750029888,42.713202466247026,43.20840057284646,39.05651329274976,37.39453603191505,38.71517555140612,36.412422430082636,33.39573698010399,32.39778776484903,33.23728507442041,36.97039186973574,40.57513783734604,42.496407874397896,45.60697021466054,49.671238364619185,47.90675524914421,43.381192658520455,46.509162994659484,48.620087618015106,44.25613231045051,43.160241909911456,47.182626726616796,46.7062918613284,43.0367645974641,46.60621473134221,48.780054654893576,45.7215410309777,44.85961467485376,47.92959830321141,45.151433687015945,46.84805557921108,45.0729127629532,46.6202411533967,45.621523728025785,40.516668462801114,41.646918258983746,41.84885806744825,39.2826335340521,36.257414117244416,39.78888044684865,38.03760021995942,33.45796117123706,33.570940400865126,36.744237827037644,34.608967421621756,31.16145147940872,28.617481024157893,29.016020386090286,26.576218294837716,30.986000803163172,27.95316921329304,30.143986054847097,30.11518221393576,26.186991782133347,25.171921183216426,23.866579213222035,24.013975917670066,28.346786465706977,27.640819673864744,29.94803642618039,28.663227921082857,32.40901131128248,36.46098640627879,39.49687390815422,40.21388416930388,35.678107839794414,38.12139927733364,41.08537625105732,37.23413197913622,34.91404183604519,38.830166846548266,42.36685787766721,44.12240511501264,45.36606407175819,47.078392414951864],[34.934713981716286,32.68658819378491,31.46107456894544,27.6292991037686,28.846240726061815,33.29636818241292,33.87437221542163,38.422118260281636,38.3076799842067,37.34860882766403,40.55915490725489,44.010178863919926,40.85590407158672,38.7995037903528,43.67352255929463,44.428662532692485,40.38108171254723,43.09011981775028,41.82836896967552,44.15581262264313,45.3636132440148,47.811728225692256,46.92573990309968,44.147957419452474,42.684696216448216,40.41253282417731,39.83865284653576,38.65085243106544,42.23021989912433,44.378954315977985,48.55405787086172,49.18407247098636,53.418049713433625,55.43019795787819,52.084242057144536,48.60147955951896,48.23697971456075,45.0989093390196,42.89903351673022,46.4624998042828,42.40311742872407,44.69794401734583,48.290152809285985,45.72044982445486,45.90459323982574,43.48945901942045,47.07031211051025,48.20234536768812,43.7076719399759,46.50300641847201,50.1024470713369,50.707623462796455,53.387743604890204,48.9482921520814,54.70008519630884,56.64949140339345,52.71934844171732,54.15454137352978,58.54235823564262,56.72976389796212,53.538403748233954,56.85026216742568,56.74510650746842,56.59906945890096,53.02317479273325,51.215810238206046,48.550284200631125,47.942862624255305,44.762854421647226,45.138532800779544,43.25326871657468,45.422363192226655,48.30043034900253,49.6027784904179,50.796542707175384,56.578853882338585,54.29341187012804,58.43573298488606,56.43951634848394,55.79221825297211,54.82745184711989,52.297610206364354,52.009979746650096,50.59128976509229,46.81842724207195,47.600133305821615,48.9493432425264,52.30485729792299,51.175500240499275,56.35239950086511,54.08824098513698,57.26668868862323,55.15173942262505,54.59478450401163,50.31040390025946,51.74596813482287,47.72460649968644,50.434431286566465,48.622987148065285,51.42834247288423,50.52667042991054,49.553383649132584,49.053554460129476,46.74705113477233,46.75100920324441,42.144852015972965,44.195707159115194,41.156220196908784,38.42650193523792,40.794472038490355,37.22150843575607,36.48570711079121,35.78621948012433,33.41875001217575,34.82967381528627,31.978780002796928,34.64715516802221,31.7385213378281,36.42265443017484,38.364298039885774,35.57667297109565,34.77582253787516,30.082550520369413,30.266776076419752,31.042167128917914,29.633899777919112,32.132789395357385,32.42386933842875,33.854398972530305,37.67091063529682,33.72471759170801,37.74106928011557,36.60233835744796,40.4313782697102,34.70477505943141,33.79982479352062,28.686200041295983,28.06848832588438,26.44447744838575,29.682160929160958,27.434177036441067,30.809554814307354,33.7287159076177,33.3013978615738,36.64979411341697,38.749301318087646,36.12986095535965,38.32633155999569,38.87989161041863,38.976242134008196,41.20852739934678,43.18250401390546,47.498729346397255,49.11333297927311,49.45079127803849,48.62878457787809,45.546503885956696,45.01213965486005,44.25291541837055,41.84541195462748,38.19472192412809,40.8816352510266,35.70633568183254,40.12213039378993,36.69134441626996,31.51766007475178,33.30926501055751,31.03985566901126,29.52478840846684,28.000105213298795,30.95402676411395,31.60415769076054,36.729624828689914,39.97447470892993,42.95257338882803,45.63973331225031,45.97219113948617,50.540361091759685,47.75911909121287,47.97800410349665,43.509831334803934,41.88982319192439,42.69494576008768,42.64696191081835,39.880094882935694,42.80554270731858,42.30825590864476,44.561823629969304,41.1057794963083,41.16592073644327,39.80757341004339,40.00689573104002,37.62857261117177,36.12960186401981,36.436425388734676,35.470323144207235,32.35752468298479,35.16293684618682,33.76044878010798,36.15105793899466,38.39135833801879,40.38500873914107,36.93097183673926,35.12725151542252,39.31721887560406,38.34972169952748,32.636633846763154,36.211157581371296,41.359435314897475,36.86900344515708,35.66260913424286,39.39750503240774,40.007987332557875,35.87392504302294,37.03922548302754,34.34420657423053,40.02367928998129,34.07277484952453,36.354478393869634,40.445152479753574,42.51895392858114,46.361460066193615,46.50371339699107,48.61290898678831,47.00569918884749,49.47936498259961,48.05614626417991,49.52495894721086,47.40698237698092,42.48420366888727,44.6406367400995,44.90722198698771,40.52022282146304,39.28966024838773,40.95992949705393,38.089135615342244,34.92874566769579,34.8465662788796,35.226859418581775,39.56651873574567,42.966994631100974,44.51408899325534,47.890153940305005,51.70473719668989,50.28409562920193,45.634223087150104,48.26031188710466,50.56489122616911,46.27450139816502,44.722898641281276,48.55690195635839,48.068864884860595,44.17783708760571,47.5111157962661,49.595104841258966,46.389237530325495,45.28048906621719,48.294544581886655,45.57835763051518,47.58145143836431,46.23577652252077,47.681580280431966,46.164417536984,41.27481744479949,42.76028960060037,42.471864987057906,39.72300841597627,37.24638317912014,40.61101031238919,38.214420443140526,33.88057186879391,34.564624877682135,37.260925394149695,34.564192684080766,31.243723066778816,28.64172488572502,28.380445313829284,25.648145885662522,30.03669968976764,27.374298548190424,30.2437773594048,30.380876095889363,25.995038520551432,25.483085934101062,24.063904774517397,24.98801342236111,29.534107280940482,29.468953332148708,32.276589968457984,31.211704881542136,34.24895647934718,38.60349704119292,41.33978006013109,42.24541438030456,37.514537440467606,39.41357594294201,42.45220825474394,38.93639213189993,35.99715167626088,39.588102167269746,43.03117606063886,44.79565966470436,46.08612716194082,47.722260113770204],[37.509890505422966,35.02645015256735,33.39397466302544,30.02331514587251,30.657796458636405,35.656196636788025,36.20987087340822,40.685805523335524,40.98855957154934,40.01038667133028,43.35254611709266,46.64863553033316,43.23279823511548,41.52961847744307,46.30206751156211,46.7822700793321,42.618393496717545,45.24027062099851,43.84982953980854,45.825284697811796,46.94364149155624,49.023981529941416,48.16547730223064,45.21927473222293,43.77553682555563,41.889091357163274,41.22995302313279,40.377009260243945,44.07907807177773,46.28213570824189,50.818461255237004,51.23118729680674,55.58076400301834,57.4610559006378,53.91100336884115,50.381741442814466,49.82303178179757,46.44344002036443,43.982871574502205,47.016301781122436,43.04519720215334,45.76503421770352,49.09625458132936,46.26906915559326,46.38447200254693,43.701870529609494,47.13522116147531,48.404578938591754,43.73816449250785,46.15435161327875,49.97748730560914,50.56386556621784,53.429218154207284,49.27186399894343,55.12042373129422,56.96091331630905,53.212430594103736,54.97360903082443,59.244786355900565,57.25779420191427,54.44377473118173,58.05115440355786,58.197103656168515,58.080074850201626,54.30433962310018,52.62066979154605,50.36873749948971,49.94822953685489,47.05123243759144,47.67750735287812,45.90032181429609,48.23252320843477,50.93303282152634,51.94273377514587,53.04388153486724,58.661304135225656,56.06380458256521,60.222719606839156,57.97126540803271,57.00671126392025,55.971109568837775,53.11464871460644,52.95666466906349,51.137966797711755,47.39255627803328,48.6076376027045,50.1042641015724,53.64733171536945,52.7372967759693,58.11168099573276,56.10166607371051,59.47168096793246,57.51222771155904,56.999170512156105,52.79163951345622,54.469116307205525,50.5124360506578,52.88173729581981,51.03502750869623,53.75565645296818,52.52491363438034,51.29379432810548,50.562696632917635,48.04118504271303,47.53075961839643,43.027323413615804,44.75487953965587,41.44222903732617,39.005193049497116,41.71116878918064,38.4979326954528,37.83989976605295,37.662764895268786,35.20814074247598,36.99913332741826,34.062025855687835,36.700189531150315,33.685734691010715,38.48333383277905,40.61886255407564,38.06957933829013,37.36314081203568,32.619205771044236,32.72527215614754,33.49129817010595,31.478176396841835,33.862424841411475,33.68008353011598,34.71372640561594,38.172799902738355,33.85809912063468,37.554036565261605,36.22637314826782,40.3856529993881,34.745946253697944,34.39817316315136,29.164018368448204,29.039363348853545,27.842120017256576,30.906154479144494,28.7315522412535,31.77399091701351,35.065287035179,34.65812713420456,37.796095357267234,40.2480543618855,37.72543943982165,40.062704580342064,40.50076650384232,40.96034398714648,43.01170632954627,45.39408750498151,49.495031022478685,51.49579339370935,51.88258858775817,50.76849514019853,47.67012217838249,46.79289559413234,46.0485703608368,43.19019793776486,39.33191999453838,42.12034809985317,36.70827931099361,40.86859689835688,36.95111264831644,31.724150276782428,33.0204408017866,30.33545184234122,28.845008739364932,27.918935177562023,30.932480264527946,32.10517934441154,37.13929074917214,40.54612793299337,43.762675484664726,46.570649264010115,47.294077285611536,51.56913564036169,48.52463586982759,48.56252185996569,43.81743326992214,42.40493404396245,42.61276542393912,42.21933797138679,39.63872932834714,42.68016252791496,42.51115840773078,44.30440445141317,40.70561378644878,40.47232617843121,38.84778234938047,39.22315263308633,36.63040571965438,35.252552484537915,35.51151205608691,34.38333489159028,31.745583513544368,34.583963323252576,33.47803966243494,36.33406985631296,38.370253623312976,40.799916927013726,37.59550805028979,35.533386311198896,39.745309238935306,39.29534184363727,33.63805957947123,36.92408282813375,42.29253899597834,38.2908941951047,36.9634917683427,40.633531627732125,41.654746467013,37.714406354472054,38.56316381370904,35.618648748676776,41.05088700256514,34.557077431317055,36.8144400040589,40.87058130892309,42.39810435157912,46.23948453389275,46.04800668294435,48.2579214642575,46.53802876793919,48.8882583280712,47.62975102613394,48.655806290040516,46.477026520439836,41.89472835976093,43.85990906483986,43.64727483566688,39.408529192016005,38.36515889335089,39.699871391072826,36.51558180325122,33.72390152080655,33.722281591746004,34.68406523189377,39.123831996717875,42.41505917786122,44.291783389785266,47.781902465839096,51.72671677700581,50.533770347404854,45.845897107282795,48.600729275793384,51.175768278399886,47.07498451922731,45.446623422120446,49.48184845022772,49.26995617957392,45.36236103690082,48.43856337285716,50.793710590323016,47.91202162412018,46.47249205074815,49.258626618235425,46.325098168060734,48.047326812104416,46.591385903574455,47.66155621272127,46.32060284833323,41.657284244613145,42.67907195680586,42.22469459558796,39.725413518614346,37.086793217980876,39.91074030488767,37.62383198767363,33.60567364444029,33.83212830471065,36.13863320657834,33.621533846281615,30.597440174443225,28.615071054455203,27.834981295418995,25.74460709818794,30.370205758354125,28.32232868004287,31.155998142209206,31.91403937340819,27.55419950963935,26.593905288925946,24.599773817482983,25.339218110550508,29.79950206016066,30.279297617068234,32.744279428560155,32.246514266037806,35.52963408963726,39.88116208877801,42.606130324553725,43.920666361638325,39.24335056151606,41.101408585277106,44.3971620049838,41.09794417516659,38.18206205639365,41.612017791468475,45.231245852012066,47.02428187674428,48.28300967126817,49.90999515184455],[35.99244572004686,33.286285947699234,31.20993207306799,27.92436158262601,27.989985196392787,33.241378956370156,33.60766721742288,38.00442578514104,38.53200392176289,37.47820579320003,40.89823145671946,44.07525920476374,40.47976171046279,39.04121213852138,43.731498529082614,44.02040467006517,39.82973383612211,42.4668708718385,41.16496219442601,42.91053646625767,44.12936905358453,46.07759610763131,45.374314691159306,42.45950601879756,40.84567745273051,39.05564916739333,38.208246799348814,37.413860355990444,41.10843430830728,43.27218340650843,48.03710474205124,48.26747973606887,52.67568217037851,54.51834000194252,50.86513926879628,47.36045730357936,46.6556119997879,43.259262908348056,40.71737130204813,43.602883185812836,39.760835735199514,42.64502057936251,45.911373343017466,43.091025194495174,43.35317894884563,40.69503386439998,44.13789285867052,45.243224484057734,40.502772067135396,42.86920901086141,46.632914366155184,47.137716755217554,50.01669511130149,45.873452539838155,51.697382637000146,53.62247257507451,49.967549599199074,51.71403925009609,55.988972665036336,54.094688762332865,51.36851885852174,55.05692946391841,55.219272924287615,55.26641298858207,51.41859414705194,49.652032440655375,47.65380674553001,47.19880590618372,44.53947521703815,45.211179006822405,43.58809563748375,46.11416828220591,48.59080392754188,49.5046276567875,50.40226925888087,55.95918959025758,53.17375135798866,57.28140597772252,54.900038806565625,53.83203645579526,52.68563007230114,49.728116541627735,49.54252962250847,47.62505794753502,43.909863386767405,45.24033752894872,46.851618556685494,50.399839194260366,49.660681727905384,55.07591916194069,53.22983787946353,56.736735486704994,54.8220717042387,54.27886082965615,50.1102026580914,51.94923175100861,48.04038146239705,50.14489740140718,48.28034653183094,50.97244578785854,49.52297042338507,48.20527780661015,47.33412282836322,44.77183423471634,44.08268258428191,39.65541736948148,41.3558822250444,38.01951386506681,35.72916975422163,38.46445430832337,35.405494855278064,34.64624760615069,34.70183410320869,32.16322552216532,34.14753982951604,31.198752298421123,33.86680996620188,30.90466399945383,35.886649743689176,37.970111992903625,35.57730957270433,34.84670972905071,30.093550097020756,30.09055156360235,30.853959529560246,28.494223917459344,30.944060131219008,30.485518766773513,31.42226636416324,34.72535102218163,30.417352877749654,34.08300769941077,32.640528742022795,36.80878062522022,31.163561004387425,30.912425356920142,25.7057413627524,25.671252409460088,24.652428663767665,27.654580656904514,25.678902421304198,28.721053009483214,32.05259466424682,31.528993760550026,34.57899166740057,37.101739661083904,34.60093633716406,36.96382148464868,37.34869628887568,38.01205866513057,40.02708582418894,42.63601944397262,46.64501425336566,48.928358599473526,49.23340272654846,47.91121213032042,44.775887913969754,43.74247017649273,42.96174507029854,39.93031532077856,35.98151599869264,38.817547775692674,33.362541304041386,37.44746070746716,33.431504547431146,28.228334203547554,29.4025523289323,26.746689706687075,25.193857156985928,24.31696280127059,27.31979520083295,28.59174525958558,33.596443411104964,37.02995946911249,40.303170753051106,43.13745020414595,43.99370405775159,48.1600607514749,45.049757815318884,45.03542289254122,40.24468789863621,38.877186211164094,38.98347955682553,38.56250072973252,35.994885681857085,39.08929157993062,39.01623318749144,40.79314036463927,37.269253113727046,36.934089230750544,35.2890939124924,35.605706545415806,32.994412907214134,31.609238126166545,31.908830642240506,30.874317514139346,28.258678880845785,31.21590034394727,30.307935929613514,33.1482349674511,35.38093888818825,37.81577845553995,34.61687787593959,32.76067723166074,37.06459630198735,36.660005995845744,31.175899078671478,34.575196497788966,39.91695826570932,36.07559080624983,34.95664137303732,38.69814313432992,39.67678447205908,35.95870762693834,37.01470700115163,33.97819357675574,39.43285838528562,32.98399613012178,34.89151850167812,39.00823713966057,40.461520902909115,44.53691337123769,44.12300679748998,46.03500498207109,44.09097150844845,46.27379095040732,44.79840915260859,45.825764736216264,43.86144724755602,39.14135123452619,40.91077927817829,40.84674980122785,36.70018573769674,35.4281193741132,36.63617243315872,33.74997405838763,30.974476937570852,30.545995285567102,31.681865025994107,35.878530908558815,39.25522687457526,41.292791449029224,44.67675404450573,48.73510527654397,47.41177295521771,42.76813772850509,45.74853395540421,48.26364701192966,44.15536510194141,42.71587533924253,46.86299623382264,46.69675254203313,42.89133525133618,46.049219903376354,48.48477952111245,45.73061079070306,44.36972863436116,47.160309715213366,44.17152424373381,45.70750511363569,44.0211437272927,45.130712380179,44.07152802554305,39.295271064697396,40.11478187595019,39.9254808051974,37.52585727775815,34.58007498600393,37.51443905476914,35.594724639728746,31.41030055980363,31.33058663109242,33.94795622296436,31.7549881725836,28.618363549641916,26.64982684352523,26.31637781148715,24.397224659794585,29.037989744513663,26.774858200225335,29.198814701250377,29.95431241822502,25.85639059481861,24.545926661204227,22.551805566605104,22.85170921877608,27.199488743376182,27.447638639802282,29.660062086586922,29.184093166260876,32.775848240677846,36.99789515527157,39.83482591553997,41.1697251148622,36.59157521299664,38.66109238698168,41.982893867191244,38.62170613868867,35.97184141508392,39.50178880105099,43.2096019866238,45.01208453601718,46.251417526309886,47.92621525951871],[31.55816804305409,29.00001120228262,27.348811471376393,24.13571867490352,24.954256695647093,29.975490100521828,30.84460215465737,35.331009521074584,35.85308200778911,35.312991685964136,38.77212355434528,41.855168958185125,38.790298509035026,37.320430290798285,42.24262964466155,42.704255458458924,38.837561457055415,41.90417353270103,41.17702386411247,43.077327002205266,44.70978756960118,46.980872135789056,46.52673103244939,43.88262839480099,41.95067516736715,39.75240124296901,38.60404962842055,37.257732602835524,40.61999983840113,42.37265900492789,47.11742772005,47.089877398686454,51.45119304838431,53.69967586206196,50.1701224506524,46.91632031001526,46.01207176937977,43.230755292200634,40.9262919440695,44.224934769312235,40.68981453123344,43.365988487058246,46.86964562315365,44.416776337845526,45.0563668194468,42.725515693735574,46.32403343054075,47.00396997270268,42.28393003104188,44.89001673201768,48.31324164549825,48.60911046824282,51.33268000642503,46.90480980761883,52.50037245423912,54.83678529367454,51.2065663125088,52.46256202760981,56.921004193530784,55.47408729740824,52.450672924485396,55.88821702421467,55.676359739018835,56.033533154311186,52.3474190824703,50.200298743677386,48.02768630505043,47.11620001554906,44.39736478322165,44.56663631230196,43.04644468037492,45.60193712807379,48.04625144404568,49.43070232531394,50.06255243826501,55.86502735593711,53.24544362051909,57.180923073806824,54.9350077915248,54.164203539238514,52.73194925522047,49.996676896301324,49.300564546025306,47.71154637208119,44.13666816434746,45.13741843197663,46.99543308237199,50.116062686481854,49.58495684430668,54.686297408335264,52.78021694335139,56.26192499429595,54.03976595663762,53.18915345582858,48.82375463529675,50.442414900299326,46.367615907387325,48.50510093588085,46.39158819348107,48.75174017926438,47.893079701583424,46.32493786615145,46.0215381270998,43.196346866262104,42.987808162402374,38.22072951200013,39.875820893054225,36.63503155157082,33.851048427480066,36.52147635271657,33.13094077778398,32.86961413727136,32.617089609362054,30.579867337519605,32.71054459472012,30.146719382121454,33.22144518753563,30.71975452005248,35.989025060281755,37.48976204017537,34.87511828974628,33.68473180456488,28.953176294052735,28.51919156084062,28.74983939249353,26.742091402954987,28.501885394934888,28.66490915417728,29.687460904160606,33.50277736811643,29.17162133802529,33.03671174972068,32.215409476845814,36.21289002227133,30.68535685876959,30.13761508113376,24.67122159012024,24.82829431859807,23.89110408830924,27.322029900600146,26.05186645967472,29.728137774580105,32.54033906778817,31.58264730480942,34.80434036735646,36.76302672288281,33.99239843645416,35.85697615934013,35.93736965101221,36.0693845657834,37.813290989433725,40.10434314577617,44.088990192580745,45.953001428642175,46.60381456917914,45.62408512351821,42.741646785210534,41.78041600959349,41.43310098561679,38.494050859763405,35.12080465876142,38.321254401327046,33.2724014339153,37.62494150344479,34.03706001571933,29.034826862711004,30.23132685816561,28.18500229431887,26.068636179261578,24.78841163593957,27.491214529201276,28.51241800246049,33.62115353154005,36.84374004391242,39.925285035871916,42.39175067363733,43.12793187978049,47.39929876424258,44.74889629994541,44.62597043744768,40.28779800167478,38.24447534748334,38.88482177489999,38.88855206869791,36.358298131390924,39.854666065751985,39.83208914855901,42.11200254027056,38.90228265086446,38.4587563606643,36.880931524228444,36.695404428393765,33.9472165060275,32.11358053461408,32.06858390788703,30.747926389149914,27.566990708867223,30.11779874668869,28.533590856805993,31.145060670941803,33.09877155538318,35.310325656827764,32.02852464046175,29.92285472430892,34.089149055090566,33.4395231284575,27.713987726819035,31.081643640815667,36.37707992398331,32.24223232654069,30.94004196856903,34.644906486726775,35.579110447412745,31.647280551304142,32.607274291559875,29.6904647106137,35.235340750099574,29.01116986771342,31.151969720460183,35.25528221645345,37.1157399514617,41.06212932147436,41.03303990744846,43.092408408571075,41.437459323529254,43.901264096989166,42.561177954159966,43.96788070607556,41.79427274253472,36.92977851247091,39.139799950033854,39.348920002135586,34.92596077889622,33.77829067557112,35.55087028464662,32.58566565931287,29.359273309517768,29.534687856020025,29.79458849585349,34.36668084850435,37.64896765331283,39.15377709062135,42.650059579109715,46.434721440193314,45.229427177665876,40.518031625408995,43.058686371360864,45.56134353458573,41.41581364961686,39.69513567042167,43.62786087842176,43.3408435171343,39.40133514072745,42.53325497839343,44.80652411163686,41.85597914495843,40.48317406809486,43.34879504692465,40.49084851472932,42.33482248558875,40.950010040046635,42.23729971148297,40.7875088760213,35.978562491234044,37.29284540327751,36.95590034205733,34.28831524601857,31.743557626335047,35.00357540037134,32.68072641701392,28.359896745062372,28.951852032557632,31.660410080528443,29.053373303309673,25.71308954345752,23.23420915348678,23.06312314053532,20.55129923788229,25.038120489527312,22.532040880019927,25.255526814219298,25.846415891622424,21.521606460099914,20.60659255716599,18.84382543589858,19.68581715759441,24.203234462230252,24.5853268906863,27.352271113384333,26.79699599952528,29.721499033101978,34.17211351871918,36.782344861325164,38.15301447746668,33.4166570183586,35.106328895398335,38.429248223832616,35.287997557740205,32.202912359202664,35.55266572903403,39.19145046371561,41.00529043629771,42.294673896628915,43.943806311703476],[35.84858894011401,33.44902703299832,32.11212466793786,29.317228356506813,30.394386427308934,35.47155142883617,36.59513069300252,41.06760516585796,41.67035017827343,41.25708712332012,44.70799227249604,47.778823771078386,44.77481349313299,43.28365080014176,48.214561474931266,48.688075081399596,44.7924685079477,47.782684348292115,46.87377835189642,48.75804233302226,50.21717308087089,52.34896279995812,51.750518814207744,48.93785379264978,47.20510281843079,45.201288515261844,44.18931826455927,43.03650412347432,46.48695203441298,48.300913181887935,53.06549612057611,53.04884816457688,57.422156791607954,59.63474774440692,56.06863630719625,52.77255801732752,51.8585332927128,48.936891227682175,46.51781111894881,49.53681668995293,45.952580717496474,48.801294443306965,52.1662909223061,49.50097712429272,49.93287802777062,47.35555032995588,50.824220931173826,51.78692170606394,46.99781091454972,49.33023418712157,53.00599065941016,53.353604198399026,56.22330680661656,52.017478098190075,57.70927703548715,59.883223982470476,56.312084566671565,57.83933741086459,62.20247935117861,60.529728523629714,57.7159619152759,61.29896837990799,61.256338428184115,61.46905673962349,57.706859372606885,55.737368389467306,53.606075067772366,52.8654436815615,50.095433853798085,50.38712933143957,48.77616955768792,51.226110848815885,53.794595402896746,55.0836964464423,55.86673741008637,61.61374534670069,58.96819922817269,62.96219177132655,60.661140981846565,59.75796829410774,58.369201637321964,55.48071966588203,54.88913495469954,53.07948320065815,49.515849024889306,50.7484104699246,52.62046056819637,55.861475574341945,55.34057910558972,60.533378176025636,58.64937282300794,62.124394204049594,59.95702279034057,59.154493791232035,54.800756444818795,56.40296496391572,52.3217703827123,54.48833599125105,52.349971916348636,54.61963046799655,53.80638468621886,52.08805173456344,51.80811181326987,48.81730923538504,48.390162453304946,43.62347498280837,44.975124438746846,41.52650727960754,38.82372333409457,41.75870976172768,38.528614574752766,38.51875224095894,38.437583880544274,36.480804518969165,38.69395500698779,36.103741617385715,39.11313284461972,36.480176224118416,41.620828557130444,43.31950755984522,40.70742996175175,39.611543332683645,34.87627688979017,34.50802252211304,34.71366733217674,32.6537829907136,34.16396902992383,34.27190048320332,35.02619519876915,38.68734837325026,34.02340189508036,37.57668684482661,36.77738326043617,41.05317513875379,35.6694339869832,35.529082596094334,29.95832006740433,30.474661979041926,29.71284239221274,33.04665301542318,31.6117253688194,35.00780775294301,38.077174909571724,37.264468437139435,40.40572189148502,42.55678223031571,39.842370438855745,41.762884560725624,41.7830004689058,41.94888022916715,43.53079645180384,45.858618713117224,49.72380993697974,51.51735044190126,52.3595406251346,51.424470250166635,48.62083592441625,47.55351982896259,47.31146440171068,44.1970795714128,40.811570312106745,44.05571408365686,38.88901605087521,43.099966433337876,39.209005318001225,34.15277071520557,35.02310340840572,32.582737792374864,30.536335804560238,29.76845679345578,32.51266939618398,33.893182034101756,38.930152673592296,42.246621415135614,45.45632026239814,47.96106799240057,48.886523364614135,53.00969593402512,50.246547754253534,50.00379641782193,45.51362178305545,43.562645841724404,43.7913182072942,43.5286185418065,41.17980810271745,44.75450032937924,44.932937193271115,46.835881939878966,43.435773786852145,42.81961096894382,41.00833535746169,41.01580802462038,38.06599082626342,36.3254521643984,36.14639654326954,34.51513044056414,31.7765710786144,34.13864958317042,32.5557403177243,35.615079455534826,37.02801537703581,39.634305698252305,36.642458965533976,33.99192871112843,37.96652624850898,37.77696938277847,31.95235941125222,34.77781373695058,40.24862714514168,36.428526217591454,34.70274752309583,38.16117537780301,39.564877296374554,35.55565780378057,35.84720620015354,32.87737711358333,38.03736117166543,31.298092800330306,33.92320617749787,37.83113447216676,39.24363841113011,42.78284445086294,42.77898393809895,45.3829785918998,43.985649612726895,46.575246718526515,45.74538424108678,46.723434513728414,44.16942082671201,39.88639245588175,42.204123304064765,41.73103784893175,37.3368151107957,36.73809711438891,38.38000099827642,34.6826882018641,31.809402640132753,32.73416524469311,33.277903332234395,38.27478038227815,41.28205543571142,42.83023368485422,46.57550751964623,50.27216396579341,49.50845741130733,44.72951539739808,47.01100792839522,49.85374569499742,45.950415195323664,43.871685254855585,47.784712295005804,47.70618094650898,43.63462500290324,46.34229348839865,48.736548464433554,45.94511311372406,44.13272685805388,46.73029552546003,43.77439623801882,45.6104926666149,44.49355580152619,45.33919603274529,43.633736473755704,39.282681308509176,40.43949349314427,39.5288872819587,36.984532330590234,34.79855771954761,37.31248435426078,34.55060926740549,30.870635869276715,31.477311106814522,33.283815573307265,30.3756984815103,27.561967400297604,25.751346312810433,24.343863672813946,22.295749264039777,26.8794891229449,25.426298775882508,28.678085417056142,29.896988588793153,25.329695835125627,24.53411739316752,22.240348346841465,23.534987309526866,27.990775271081656,29.274582728534423,32.01533331746767,32.01077390792313,34.65189979935399,39.22131426206001,41.60422973406485,43.33913889536939,38.57774176870038,39.86709844369832,43.36353667914655,40.58815092537142,37.16139555344927,40.134747554006914,43.759294621767324,45.57453920247164,46.85390047664501,48.40828199045547],[37.17646411674784,34.425541755487814,32.3846913800248,29.96661442654699,30.08048522433577,35.704312023452495,36.57829470224911,40.897173661496495,41.94061764784542,41.38169556145673,44.95109690245436,47.82966107077006,44.45878870225331,43.409031790050626,48.15378398018002,48.27685026739155,44.268413145499395,47.140403903345785,46.154227377352655,47.601742089742324,49.022144606102025,50.75832884540858,50.27562024168832,47.36951562255706,45.566070092284775,43.95236690001438,42.78116663873121,41.96401474245954,45.497595554403915,47.35240975484626,52.50583325203845,52.23796035870472,56.71921793538822,58.752653602464555,54.97039059568866,51.65066655467646,50.52059471851185,47.373655710296305,44.710045249813255,47.17534158082065,43.758383401826435,47.02382981483375,50.10611200907994,47.25447106857083,47.712315530874996,44.960706048576334,48.28702669787199,49.25151886978307,44.324752148933236,46.304190968569856,50.085208185421195,50.37704843698974,53.37799070795167,49.443738222472895,55.16525268970113,57.2772490270583,53.929287842408584,55.71110372294357,59.950867496261985,58.192674496434925,55.75823520117483,59.61014651776878,59.79445134951396,60.11698919358444,56.169618147803405,54.27343363393522,52.646024517381214,52.058882428961915,49.67677291996241,50.22381488344318,48.79352063874291,51.47805303511607,53.75783943525352,54.71861042038866,55.315372033049016,60.85406963217243,57.84643867063069,61.81320277991728,59.233536047964556,58.00466518601676,56.5194214028767,53.316588769658566,52.85127210598586,50.657260904521074,47.150971791234994,48.80411319790657,50.82906003704578,54.228503008073226,53.97031786322854,59.33803959416518,57.76850548055065,61.465658942441394,59.48324652076168,58.73003823636654,54.5008690171,56.410286932131804,52.446291129313785,54.17328996027784,52.04269084794411,54.27289231219877,52.988788015402484,51.0696609722072,50.45049475075169,47.326968804025704,46.34058415755153,41.77920555816951,42.864735903442764,39.21288260003765,36.92331543027479,40.11243880716207,37.327901913486144,37.23691747029258,37.73221238464968,35.61267700412441,38.18326640881589,35.51098486777157,38.442783468406354,35.76124986785486,41.0232171240304,42.86042067745459,40.563961020468234,39.57467115003654,34.84019141834831,34.40113796003532,34.66588946748339,31.93407382413164,33.47745414966905,32.97108632558716,33.34460255919645,36.529158010967315,31.642083103312324,34.86038535059229,33.78293512253122,38.29654783160555,33.030227599797676,33.41759610695562,27.891232612105963,28.817274762991158,28.497007297425625,31.570527458619708,30.302783699317704,33.35995121460364,36.703454470552224,35.86827005767726,38.74281267124975,41.21766914871778,38.64167402596567,40.7100620572681,40.64520436696241,41.27723995450032,42.73276008596374,45.54256824869622,49.17425399838481,51.506228505999765,52.25846949112498,50.917824898409926,48.05298414595514,46.6285206620553,46.31382725497465,42.7669019193234,39.135872533045756,42.41965689735603,37.075215030988716,40.973451215033286,36.663839476757055,31.661112273454332,32.03658702902633,29.307133625029007,27.289805073222627,27.0838417133465,29.819580106979092,31.66386830947248,36.52547029381843,39.958394654653574,43.37145221963534,45.998883459334714,47.30943491504496,51.102529647118246,48.071724887655456,47.66864264869675,42.93502654170577,41.248458763216604,40.90065116203129,40.320287419940556,38.14879474872087,41.78900355021971,42.28349892129766,43.77746101702795,40.34857666568718,39.428072598761815,37.404969004267116,37.53876927010685,34.43318122511036,32.82841798506716,32.65725493867061,30.99324057014902,28.744846196795756,31.22329110167193,30.115320344059963,33.526781910776734,34.96256843579371,37.91664833645988,35.14715771614957,32.52594197511625,36.58709087935867,36.85045075911502,31.29066846453583,33.98929250074942,39.57023918472319,36.29822817892668,34.71412008356052,38.175875404184794,39.819192935551904,36.19579212719742,36.48129249164742,33.25811421299049,38.22210096849681,31.144155743572707,33.37257505363856,37.29152132000441,38.16279705403896,41.92488426652749,41.4107635873848,43.792959137948806,42.06437439595121,44.36692682415603,43.45741414614191,44.04340193730414,41.65825375393372,37.552961663366496,39.490480149790585,38.72799860928137,34.57669322297487,33.92496260415955,35.1168950532188,31.426003442990517,28.938449306842493,29.5142684501625,30.766540598936928,35.57301151395003,38.55840270809528,40.55591564946902,44.27021963607119,48.18109304056535,47.46615097952743,42.72763688995408,45.34018989824412,48.320211310346295,44.56597358427408,42.64181136231174,46.81016859584183,46.98242909796647,43.02535265903436,45.617309285918786,48.28744324780017,45.87049618705923,43.91270014845083,46.333977641757286,43.16573773444401,44.579597839034804,43.13892233032156,43.712082993414484,42.44972474478517,38.187847050466154,38.74387483563135,37.965206795817316,35.749506014811125,33.121014513013584,35.25316462053516,32.976314601770824,29.430929033119526,29.30419646615704,31.050746946023825,28.65496634528877,26.018594984536715,24.80637946542645,23.38882531457159,22.136642554000677,26.88424258322178,25.730419255430622,28.49641064767863,30.157610277072298,25.92822349959315,24.46099129700483,21.745692605303187,22.41963460937039,26.637014584927247,28.11365026610136,30.29829055410937,30.745835702525586,33.866199749676376,38.25234559253837,40.73586239419847,42.75773469879385,38.16295948730073,39.65336808923848,43.32139138013361,40.618582760942594,37.52123578644223,40.48970772563168,44.29570467031639,46.12854257272189,47.354966815998104,48.95723912394068],[32.15196708081161,29.24711265879337,26.942438313052524,24.585213231961966,24.49573054407046,30.20442060866992,31.126688796602224,35.40710322123928,36.62407378131029,36.25752176313461,39.894610015198936,42.60910897854028,39.383282327483634,38.55187253224322,43.32631802830288,43.38623943217254,39.56500735755266,42.69840002957705,42.161052293555024,43.518103982328306,45.29666494129575,47.15801891629201,46.97882227936969,44.31503221426361,42.14763298808394,40.31812907161164,38.79412472512051,37.65415945570207,40.9504917398808,42.515347944809456,47.81506728019125,47.256621319429904,51.74257920157013,53.97960978161857,50.20858861951242,47.0711755832708,45.720066908820435,42.963961139164546,40.41552880736168,43.09539480048641,39.98037192651944,43.18032804890731,46.39113304903609,43.8370867688441,44.68841668511699,42.24006703057652,45.69991351496809,46.19932910174877,41.27263532891728,43.45020277051278,46.894598165647054,46.981545211796856,49.84907689542433,45.68117059311447,51.214740247332394,53.68069481175088,50.3944855189956,51.78491512584234,56.16170563116584,54.810021143885,52.19364671781357,55.90303461791359,55.827690741797845,56.49100633890817,52.617927479520745,50.39101846510138,48.84173665327978,47.92224277640561,45.712652082507496,45.978806664641,44.75779849202784,47.622284808151285,49.66610753312827,50.841265776254616,51.08856089120618,56.71846693204722,53.68230255500414,57.48672507141277,54.91157558745337,53.82256774397666,52.08043123651748,48.98575919054445,48.17022321931393,46.167248747747514,42.763447598206405,44.23558090030317,46.48316758520527,49.59760598107189,49.58334437947229,54.76329918428894,53.27888763364332,57.05544716577961,54.92443046058663,53.966104115949456,49.66837448550922,51.58026554033769,47.58123546635329,49.10090158156087,46.83204503947594,48.876278381662836,47.73468567312272,45.65302524155187,45.23637384960183,41.981618910462814,41.194550968307176,36.49026361776251,37.62407965582587,34.05813307215803,31.5621288366471,34.673263435267344,31.7832801780287,31.830635835446163,32.31618627414828,30.403778102383598,33.2018010879749,30.767007506557018,33.95165206500854,31.632428636834945,37.199589349435826,38.60146042194965,36.32357342026391,35.04344487371034,30.36192137535693,29.57060626080669,29.52987965776764,26.70178049617574,27.940104104776594,27.549270482608197,27.94339845554041,31.35002500739976,26.52004358628453,29.95470674203838,29.15262315424238,33.502422708718775,28.235841523015836,28.415730073352172,22.76341365553636,23.829412256402538,23.706725714330933,26.97857810480841,26.362522518469948,29.840949570414754,32.82109350933181,31.60169758937812,34.51159868440917,36.651942756853614,33.93256549749365,35.70986824831435,35.43742449362659,35.92973708634815,37.23613146001209,40.04684187273992,43.61456231164161,45.96846758383397,46.78290673300094,45.45063476748337,42.68038259279701,41.19859197142341,41.07241724913822,37.487446206330766,34.123740896570055,37.64523605154276,32.55162966573237,36.57927053857062,32.549340808513556,27.71007759547345,28.09571532995664,25.902606001467298,23.442204270143073,22.871841575655402,25.395647717600042,27.07497510952451,31.994869418911485,35.29218298527693,38.59779627636152,41.01805969395915,42.30735549621208,46.119735365546546,43.3415626627402,42.87266217136617,38.41806615030249,36.33146041640512,36.35570096950886,36.10251105559847,33.8947676958194,37.799408277383755,38.33018968386416,40.24074738435515,37.123606808226874,36.129300015762084,34.22356939896648,33.929210349360396,30.79212593684941,28.85456187766013,28.54295067069791,26.872109382804208,24.09824986633875,26.513211438401484,25.141978448574605,28.295244500646454,29.924507252145272,32.64405915851259,29.72291167169844,27.283533513537403,31.44068082976185,31.460890716424572,25.92186934791267,28.880994800520945,34.38668364917835,30.987293977611294,29.60985234250712,33.200338102420744,34.64068565915885,31.121088560177817,31.7383852219779,28.509283098790654,33.67769094951602,26.911228244299107,28.806408763109168,32.86114700849567,34.0756024025808,38.12766832314272,37.6499909429244,39.67664955050392,37.82675898906871,40.12576809807845,38.91645733941618,39.90535490261697,37.704449257045766,33.1351174974928,35.1533745229876,34.95042948712867,30.652839203849577,29.66055828055663,31.166252173463032,27.93604606353575,24.996597723078562,25.30271875975543,26.06432492334697,30.796578424107135,33.92181609886099,35.730495102374604,39.357063451160684,43.251060172233544,42.33414227953149,37.59276513273464,40.239953809080866,43.05599261599188,39.17733558208322,37.3625158210173,41.52494507771119,41.59766087526701,37.684150387895365,40.478823744298566,43.09055933597702,40.61367262625006,38.85601318006056,41.421100055236096,38.304610107128035,39.748313583950484,38.18728204321964,39.06135489191064,37.89234926780468,33.32648342162093,34.058348128845225,33.624625995364276,31.27357845849493,28.460846614149315,31.185257093390785,29.12827797026587,25.076107104473852,25.0758638929225,27.530908487619726,25.253139195057344,22.152391077188327,20.390603954179124,19.920039303989313,18.30314793532512,22.985817864474914,21.156588415040886,23.54952947558373,24.96452115111364,20.932432312962575,19.272641435133107,16.772010526686074,17.19135486003133,21.47871499212061,22.5938124297958,24.891103165020624,25.186057254604865,28.288984863414516,32.66747928116794,35.192767517995435,37.1467032142206,32.557449107118984,34.13549744020604,37.778422933955504,35.048173991008824,32.04749986529797,35.099712609828515,38.95056505644049,40.790353714048685,42.032520892244555,43.685086647730735],[30.452592276052147,27.87674861945007,26.350224662610056,24.135358090369483,25.153822390531058,30.423675085041033,31.922488271775343,36.288788918486965,37.345106879633555,37.44361222803214,41.03123303306692,43.743753867512595,41.06452076220165,40.01974017656182,44.99922699563342,45.32247434905857,41.76049968090102,45.15697154794389,44.92123450587234,46.55001608631776,48.506383168822076,50.66597641037282,50.51717299381224,47.98518119729842,45.76123058291302,43.612136190535544,42.054615659684266,40.531017297671056,43.611702845276305,44.92576358658957,50.02662014953023,49.42088735063604,53.81709235257247,56.361877803883075,52.75922211949651,49.78226114361953,48.40581806448852,46.077051063401825,43.74614644630338,46.78563419832733,43.76393036218235,46.71158584805479,50.11598224942476,47.77372528410371,48.73203176346968,46.44348890530715,49.990072865500366,50.37609260911005,45.50997583640746,47.86044804723241,51.15781639104858,51.17783641976365,53.94715332482962,49.603654770549774,55.00561523305255,57.663878064892685,54.32887124061561,55.42880176825473,59.91330565712358,58.77041334962172,55.90941053153934,59.405223395033595,59.08222388397138,59.81901221595234,56.09958183344353,53.69864260586613,51.8493397512711,50.66604184043589,48.239438156845544,48.14387468015488,46.87469061832247,49.60656634592642,51.79781609983881,53.35330112291843,53.580960204593495,59.41098535135296,56.624952934011034,60.349928181966646,57.96073464996749,57.13982523337282,55.29257029695342,52.419550947381246,51.28647204983085,49.572196537671076,46.25388987959689,47.42801556112118,49.74808195662813,52.57038451754708,52.57232031370667,57.50489894051932,55.86458857944974,59.517953602440365,57.14773694197058,55.999006867174806,51.545009087482924,53.17458277084393,49.033133099141345,50.762474460675826,48.327947245989954,50.118030808274085,49.58948758574873,47.373284639497335,47.48632047037511,44.066493761283375,43.745257083976185,38.77214049338957,39.84131812873886,36.374662177641554,33.42732019178128,36.4687947228265,33.26023417165367,33.79958607863445,33.89497082002914,32.43989582339454,35.17443588661847,33.0241770085993,36.430874636691485,34.359363821985134,39.94765242672085,41.02763328809963,38.49175262723651,36.934404287601694,32.29600316739811,31.31217658918631,30.896644545612713,28.614596785728462,29.24280399492247,29.536004552888425,30.032741990298135,33.87639391412358,29.06024736823616,32.57264371493558,32.32905805192753,36.52012815689738,31.42202902237124,31.346156869408578,25.579581643244232,26.691544899064276,26.470419821696872,30.02660728781868,29.64367909078212,33.47444427946835,36.131961466283464,34.75499714927828,37.83047481100501,39.5584710128629,36.66216633709912,38.077620028807125,37.62848519447476,37.580757684669095,38.6763459602331,41.06210123473484,44.63391154570037,46.43674299619035,47.60591211016488,46.70072274461934,44.1772403807208,42.85771185115274,43.09469978865916,39.711142162460746,36.85047533780082,40.561737099259176,35.78826011355338,40.01908491841033,36.336576897424415,31.61843806361,32.11919117930872,30.257925266271815,27.567939758023673,26.728471670961508,29.057476705695365,30.48869747783854,35.45224163069932,38.5749299295998,41.69548703445182,43.82882389096228,44.944526117708385,48.87839752210785,46.475056151382894,45.961175140092124,41.86491162956959,39.3051536297665,39.74129678262388,39.7773992034941,37.61548705292915,41.71576599549949,42.20855685655414,44.41814411165733,41.44013874885386,40.45994380450426,38.60915366333298,38.06477929948878,34.872267576748825,32.6822374828709,32.10337513783617,30.15526697661264,27.061611703380578,28.998167141207425,26.956610840693706,29.956073947967948,31.07819721567612,33.65100219627578,30.746996744549527,27.855580899326227,31.735674614444562,31.612219705281465,25.76092511232341,28.444592126873868,33.9411618387125,30.263591687680925,28.46648726002044,31.899012129778278,33.45209680123383,29.57758438561181,29.775076050126273,26.69706456933615,31.83323346370458,25.080828436376493,27.588712093149656,31.533581681367362,33.06116798398416,36.72858056455015,36.76738425912673,39.2615137130038,37.892993755986204,40.57459534140029,39.75310661916972,40.96976156205018,38.369246265201205,33.93509514774749,36.479692803383266,36.263823790997144,31.709150018486284,31.122910662294217,33.152080875045506,29.534382168882406,26.312364648311256,27.601213220873007,27.534509635165524,32.76817192230897,35.664298475869394,36.898294555651496,40.71382858228408,44.25452626398104,43.61878356772683,38.81387367023911,40.857089725566915,43.756789862439454,39.92480046029942,37.67564293048626,41.5476993709934,41.53069277631845,37.419684404773,40.023852802622024,42.45908311611164,39.77075402567498,37.843750383392624,40.401454320932714,37.420632175397834,39.262152653868576,38.19753298986223,39.09515226307835,37.324744149195304,32.93741717741436,34.21744023944221,33.32595909462456,30.69785439828378,28.585536410644615,31.325369729863525,28.526898327590665,24.656405743052133,25.525432488494474,27.58552635772354,24.606930217804994,21.547819709857468,19.46518279237874,18.442333794413997,16.201179184534322,20.796369101278394,19.208078832249583,22.360118671464143,23.80508374777375,19.31392390480536,18.337730974399577,15.919488040614718,17.361468893387396,21.795537926955795,23.400186843972968,26.31548449088985,26.618977055848454,28.83473343954273,33.46813221660846,35.654862663087606,37.678144774995616,32.919512695461115,33.92821927348548,37.56665510980212,35.16529834369784,31.56015450809896,34.27821995250006,37.99424216605619,39.82489337102647,41.11132456426513,42.68154187057149],[35.22816594155407,32.6558210815972,31.074176098429433,29.281216042630223,30.02250850012739,35.51872636503667,37.02205515003427,41.30881036321334,42.56360914356973,42.61790176032785,46.23665401096369,48.89621958588327,46.056502052295976,45.13834801899428,50.04243094514769,50.23448895988241,46.55747171551332,49.80777093542821,49.33384278221411,50.79219397464125,52.562191955542566,54.45145407102436,54.207862737073995,51.48308332373597,49.40958034919078,47.57808825870942,46.101621780344374,44.89917938661116,48.12713769595687,49.55925421694822,54.81707063387681,54.16686137807752,58.618578224082704,61.02698919785452,57.301549889138485,54.25013907255807,52.81550435839411,50.22269029749183,47.6914866396435,50.2801162933839,47.24710495901654,50.49270365976616,53.66678926681024,51.06371489861222,51.83877614799776,49.27427049710867,52.660828141215696,53.30143882279906,48.3367712922298,50.329387777716256,53.880721976078796,53.93604090066879,56.86652178633017,52.82878435853196,58.3339230531209,60.802133666011756,57.59841910022152,59.04612282670659,63.39301300680329,62.00395700106475,59.46938475249275,63.201048266545286,63.126664208531466,63.762600629343915,59.897953108300435,57.696062250309396,56.070831571378605,55.11906249258384,52.784450415472854,52.92973598505052,51.634203323640996,54.36766939244061,56.569955797091374,57.88787105134147,58.19755849726493,63.89681382421721,60.94130810395192,64.72485004381744,62.17609458089396,61.10397429880921,59.283884911895996,56.15226964267854,55.201543068723204,53.140079043296005,49.84051441823983,51.3793875505724,53.737693338530626,56.758332942758074,56.83717464240138,61.941887114011465,60.4356007583605,64.17045397892667,61.93884101963783,60.879647538956405,56.496541858640924,58.25053833465255,54.16063465656969,55.760128807739946,53.34175212721942,55.09560981910232,54.359211716693146,51.99016487527016,51.92848336868443,48.371166635506704,47.618832419015334,42.77664347402449,43.51024163237043,39.81192445692423,37.163917148651144,40.49459560749492,37.630198212057415,38.25100262492477,38.70663571422072,37.17169489563392,40.05126029655201,37.781388759278286,41.061375864319174,38.80114887025,44.31871798452452,45.67355422828707,43.2599275513485,41.86990175956904,37.19842553296256,36.317383999020734,36.00603695706009,33.4227908310319,34.02247227324474,33.96741722195892,34.12593598308325,37.593574330964536,32.473838995844275,35.56159231868646,35.16097783252634,39.658093232361,34.72617542505345,35.1831973717885,29.435327049223762,30.879127283446937,30.881687029925953,34.22720751887308,33.65878842765604,37.12310138375975,40.125371498736214,38.904414031992154,41.821387337752746,43.87614535947919,41.09867100725876,42.68172609760891,42.20763640359761,42.41977220753858,43.39502624142412,46.01631697671082,49.41338793020267,51.395816511494516,52.64216220218395,51.58164006785354,49.06326602564247,47.53141902848426,47.76156713393566,44.08900554085792,41.05685753380119,44.76221332093509,39.78226658196357,43.77288013906394,39.681814157836506,34.916162761624285,35.0124665120415,32.692777315089785,30.137011422678093,29.909187870082647,32.30500716132883,34.18235326617492,39.016768689239136,42.265747567774355,45.57355480296534,47.823678701659205,49.23340743774747,52.92083738513198,50.2824587850611,49.629096260295846,45.28411635960998,42.97227892666707,42.816657152593805,42.48246905843434,40.53254552978503,44.662577942403935,45.421311236327725,47.14976109629031,43.95314072411179,42.74084900496709,40.62797802774379,40.32366830983469,36.9505299449171,34.94501220691399,34.29971858621432,32.13153488086563,29.686209378604904,31.52886544901793,29.774323781007073,33.26932295554982,33.973189140449875,37.012034738852535,34.468044168934206,31.212301999762552,34.93285191207589,35.40081120770477,29.684580604146557,31.83518528964229,37.45466568590446,34.333341088277145,32.298364223024485,35.48040177773501,37.501817237305,33.791744221269454,33.44890951313571,30.26328330878291,34.886415350201275,27.624649753092623,30.320654163788703,34.03565268395675,34.860578111282166,38.222898203784425,38.030850885248284,40.897217637277194,39.602192240463665,42.231562365484685,41.82471098395397,42.457579485095366,39.618942763083986,35.83356523024061,38.25555754943517,37.287390944463134,32.91880259546463,32.805418469687226,34.46824177964325,30.227666188170712,27.569351368703973,29.32066829788197,29.870191499498603,35.29270983199686,37.927089136130824,39.42195210991904,43.39727997546283,46.952565602058804,46.70654886216792,41.90029626198855,43.8876006530051,47.1135145977188,43.5658981997387,41.129120100370976,45.08075024732374,45.34899447160877,41.22194550027508,43.405228002429155,46.05207058542349,43.68914823065754,41.354649132352044,43.57987146594508,40.44002574261876,42.050069304523575,41.06301523291575,41.435270330512346,39.678786570897266,35.782956437721815,36.60760130723967,35.28330521339453,32.96671402129788,30.97522336884295,32.80881205258105,29.885212129677022,26.747577506991043,27.22886177248218,28.376631073078464,25.41324205714118,23.024122994414423,21.951005452513012,19.747006009314234,18.49624337330639,23.108694523735235,22.684262935020953,25.948165940426005,28.06119585821128,23.656135366314917,22.491856740843737,19.54009993797491,20.958840753901363,25.097495715835073,27.43582272707279,30.00270369553723,30.891521038558515,33.1427271059246,37.741323373598384,39.801851351444256,42.204808431067235,37.52567711268065,38.345774643215876,42.16385579422301,40.04738757273408,36.38903058662021,38.818016642805354,42.56809279657007,44.40394526105533,45.640028275748925,47.14744973590381],[35.28447415566363,32.38206774667387,30.10838453725698,28.659865314101022,28.476518070232014,34.412004588086354,35.6753586089282,39.78112806113335,41.4411920164007,41.3983884374947,45.10550125829426,47.55463062638784,44.441159631810294,43.95100424054365,48.67101291520204,48.549348618381565,44.840376349787576,48.02772065670492,47.59476004220156,48.65478135765798,50.46757399093852,52.0426111827673,51.97432797166033,49.24958328104583,47.03996635887001,45.49523865623738,43.809986913844384,42.82166130291276,46.03871068369081,47.42866165056743,53.022311609597715,52.09697615649615,56.622733326653695,58.91017065221219,55.017881411366034,52.00312503098878,50.339110238400934,47.663290247418985,44.96727570578309,47.11172130757808,44.330352407731034,47.8897523015541,50.83644370048137,48.16812529500061,49.062179950590874,46.45023284335811,49.722732653451565,50.235333831295385,45.1912434413446,46.906824602814225,50.43650422036168,50.38835912618708,53.38621744767899,49.54512686516566,54.99784640547613,57.49468862684869,54.515140011806814,56.0747693542671,60.33250578123564,58.98170842315905,56.73410546627,60.64269204694143,60.69634450378963,61.50522196799491,57.51870297892509,55.30701199279953,54.132514923151845,53.23764752218187,51.28205029010828,51.578733226350444,50.486934891632,53.444602029105226,55.34021757663382,56.425679191772105,56.49763451457647,62.01857894568632,58.759686163031034,62.46680771599619,59.691507177555465,58.37894590131505,56.420837633764656,53.059259435035905,52.13522044123206,49.79552960877549,46.58945902295809,48.4420224450973,50.97608979110151,54.048734745342294,54.41055995129181,59.597585041352964,58.385312974195315,62.311786095609996,60.21427817731868,59.15804047914002,54.88624134036685,56.89663501115893,52.91868580550375,54.09180284306549,51.66586525085116,53.345500339815715,52.22643054614265,49.66359944349604,49.3452368619017,45.66173518152847,44.46010564617355,39.7941068358308,40.29090316897616,36.4403195503391,34.13786221840431,37.666183576096486,35.204711859651866,35.779556875675155,36.74222356805838,35.12681109460804,38.33735582306299,36.07508902332138,39.31401139016733,37.12033492220764,42.759071567619785,44.11726167914912,41.98932136370867,40.63789819638092,36.024050349594205,35.01919067864977,34.69892998393804,31.54801755585772,32.099472124254326,31.520615460135875,31.3295567845476,34.38179316141956,29.099892646666344,31.893196521969138,31.32574336447403,35.97790573981462,31.204815541330948,32.0987369103916,26.42131962018772,28.279842964015444,28.731178718113338,31.84745614934603,31.598998230635654,34.83594449709832,37.94351781229969,36.61945608541842,39.286488071500486,41.517051910079694,38.84772375337093,40.47376034464223,39.880180392816925,40.467679838260494,41.29582758452416,44.327350388535784,47.493730372090695,49.9581019352451,51.111839572362655,49.6980578996598,47.153256787256254,45.30699698797379,45.51017549004526,41.47223579343924,38.31273017730528,42.08521493781151,37.05911664455906,40.77206995866734,36.42288793966459,31.806434308107306,31.440844505768933,29.047109601496487,26.404191362474787,26.615589196430264,28.891040476778944,31.130198803286486,35.76650595756196,39.055522521862635,42.49302166786228,44.78370721421543,46.52092663062172,49.902849451475305,47.10566658405448,46.29517148263032,41.830973963015424,39.661629448587945,39.0753962481962,38.539773552228425,36.76486221018867,41.009918331540796,42.06282246389997,43.52178043078933,40.417138511639905,38.91827192723409,36.65738182322389,36.34129929586586,32.820542381597484,30.842648160911445,30.139683007323967,27.91106813591844,25.819444451463973,27.71501643130858,26.349917004782775,30.11206063900637,30.877149917753368,34.17946165207201,31.822545117207046,28.66576625841582,32.47793682621037,33.30688136384613,27.90030324712244,29.991740095821434,35.658192920491,33.028838888230446,31.21918252860279,34.42807249284366,36.57697018483615,33.27825500257163,33.06669078484284,29.678404580294078,34.15480477510148,26.735675928905444,28.903208750379235,32.65396907456617,33.0524387174219,36.72981470293925,36.03322245864276,38.551391589086535,36.88616766538681,39.223508480303934,38.643184146720465,39.01032952786441,36.39617112575561,32.641450775497596,34.70761176564867,33.61124410598174,29.43304612649908,29.170758438401442,30.47506090594101,26.3422795893233,23.946165190896306,25.30542184058276,26.42835994271696,31.644145330836235,34.286233588559654,36.16574119540552,40.08245300890614,43.838856597135994,43.571682237845145,38.814905187708405,41.13092523960809,44.42407915724866,40.991000499370514,38.75041458678514,42.92967599877336,43.39797057780943,39.41449977400113,41.55294483546616,44.429162165015576,42.39926688651051,40.0188462265826,42.122537919913576,38.81152228385416,40.01696594348907,38.674069371050194,38.877512370842,37.595761127832645,33.698036723589865,33.976922231398184,32.89864817077354,30.87682113321329,28.382339559112584,30.001751879980432,27.65682907175666,24.50675503204405,24.25418391527238,25.55071573889895,23.174555740101805,20.835152101092028,20.247094852016193,18.349792330212253,17.855613499865836,22.544754546635545,22.18671700999758,24.806361185410562,27.223616381342985,23.26239206373451,21.433416655634428,18.18452262334439,18.88142885537429,22.734193006957664,25.15740426264425,27.18785894446339,28.467856898153364,31.13705046952581,35.5273541767475,37.685706298762454,40.30366654270569,35.81885123057999,36.85720984565222,40.79397472113128,38.72239490732826,35.43056644379391,37.88481327665799,41.789016899841336,43.634142794913075,44.8284140117441,46.38298494776226],[32.05606640070968,29.02743689107773,26.50365467701855,25.098707438114143,24.693422808895942,30.697934267969803,31.943577598040665,36.00290303575301,37.775921078085,37.818097542003656,41.55311859177487,43.89506803001106,40.845215186774745,40.502437975569684,45.205045169554104,45.03318937015893,41.438864367506646,44.756009246854035,44.58223402020523,45.57486436499421,47.58975440584911,49.23053463717714,49.34230433486267,46.772472134301864,44.35592064137803,42.69204000638504,40.80449777267499,39.63793748911847,42.70450393759558,43.92741901143766,49.59589024525324,48.50813280389403,53.029052081458595,55.416119712093284,51.53590945621996,48.629027742709866,46.844613186706475,44.39633354574539,41.77467291063839,44.0487193541323,41.44509308510498,44.95151320112341,47.97267699949987,45.48789528130996,46.61499863551239,44.19677423478122,47.545884517380046,47.77487100556219,42.744091304178525,44.59453768203486,47.9107503046716,47.74913944667583,50.66343835023942,46.67011237259287,52.005612706302095,54.70950600366433,51.75481676355769,53.074259985805774,57.41150028334549,56.302349142596945,53.93898179940443,57.75049058347099,57.65092299487371,58.65592483751313,54.72255716958369,52.32173395159142,51.19797218226815,50.11644892459703,48.27838002710157,48.42249319572317,47.46342765644443,50.524441234791425,52.26298389205724,53.455610518459004,53.322368761226606,58.87529751996981,55.60359440285343,59.2108748373331,56.44420378629619,55.21771026319182,53.12111222477181,49.83713654513934,48.71579981905878,46.50343166226356,43.352943029428815,45.086356620522494,47.73772592948007,50.64106891680927,51.137435321565604,56.20867831007548,55.048382563250605,59.015081782505995,56.844516331092485,55.68033752688267,51.3866506972684,53.407526908887505,49.42830603656082,50.46736534897983,47.97746083140929,49.56631084225979,48.49630058569915,45.861146447034734,45.63414394920168,41.89766116059588,40.814974572732794,36.07324353523466,36.63019422970125,32.83225041622237,30.409497693798787,33.88506918275985,31.367098316691134,31.993817318240197,32.97295292079908,31.46889285543961,34.81168434785775,32.698363485817126,36.06220975541302,34.09419903602192,39.87731064673288,40.97866044550537,38.88837669342201,37.384441795152625,32.837556107296855,31.629160997879303,31.139260237689513,27.908268907049937,28.28486027694052,27.73644622258993,27.549800577667135,30.72662433151554,25.48454743162533,28.442382650103237,28.02638868590936,32.56820941475199,27.776091442329562,28.533971024335145,22.78082808933211,24.752254002806918,25.355436595108426,28.554065408663742,28.71639956211987,32.162488829358125,35.03506819443906,33.488931209283905,36.154941175650166,38.1827538668763,35.44727851132262,36.902035700187355,36.19302188621323,36.72301739057779,37.47472343590504,40.525015112183226,43.65501898628205,46.1727191487741,47.32173319288634,45.88818197083535,43.384432018696586,41.50500011963783,41.795225727300696,37.739179306392685,34.7281062349111,38.6244554216186,33.762547847523756,37.535997996798656,33.36262518321614,28.87417884614241,28.517153842014896,26.479297653238458,23.570243683518783,23.555644098031713,25.680285833299894,27.812228340322015,32.46274822454776,35.67013056757657,39.03607698243567,41.208103400078954,42.92351183810331,46.320464392938135,43.66848654070433,42.834711243249785,38.538030397795794,36.14344011600879,35.80077905194687,35.477109687866026,33.66111585999847,38.04922139547176,39.097491113140066,40.822248714929685,37.94244186016982,36.42187607545861,34.25862347744936,33.68162031543035,30.156998383576802,27.96727788538174,27.193744664948447,24.988009136706033,22.507560698464797,24.409070165734352,22.890469025099062,26.48978186043715,27.457555337216387,30.60261725411063,28.115117067630866,25.12173145308303,29.05602471643404,29.704370678734204,24.31591032773938,26.642557546706378,32.2768045240355,29.550260039143627,27.926253753470817,31.262265237275237,33.2402015041721,30.033104084266938,30.112833042452294,26.701689613914485,31.374060239304693,24.17359926745193,26.043623867174286,29.93862937574242,30.61172267623214,34.564718588780565,33.87001650376456,36.072439348760106,34.26100965519029,36.57297421189488,35.70607424160557,36.38068791957489,33.949526787630006,29.778205296600905,31.86829097311388,31.2287442435951,26.93526632578318,26.343439980033136,27.853262432603206,24.12787453042512,21.35609070270798,22.399523850365334,23.217315735621575,28.360382261761504,31.155204021640845,32.945857869301854,36.788038720734754,40.577243691537895,40.11306256693741,35.34234873771484,37.753596240821935,40.910200658970375,37.36422162254471,35.24583330631241,39.45446579535043,39.84478684008382,35.90061811349589,38.23092484074918,41.0745230970254,38.994884771598,36.79082866068465,39.02430187505799,35.73918756148009,36.9509169797842,35.465802537939894,35.92001414029824,34.75388153030499,30.56929773681706,30.95515570071262,30.194511056277108,28.065155666424847,25.343745539206097,27.471987151668028,25.35494498755304,21.729065079499545,21.506734882374925,23.45851175718129,21.226123213318928,18.44756499477945,17.40389116346149,16.34509181647448,15.568110280154345,20.249615612891585,19.31833203398535,21.605298292882637,23.848394462412536,20.06605753926398,18.020766824575237,14.877970642135455,15.292886090928882,19.22370277754983,21.37729207551177,23.44195739545263,24.626398571600063,27.362889075487242,31.718352006737245,33.94235498538916,36.493612747116444,32.037895444758725,33.189303377568514,37.09250565034603,34.963790715899286,31.79559388327354,34.34952651106822,38.29358168081224,40.13013754893068,41.33538641612513,42.93357033401594],[30.063499041354248,26.81088985477483,23.71455358351625,22.17028244591879,20.984798373916135,27.177961717488433,28.06564910050041,32.02645558909214,33.923895347136515,33.79266539470209,37.54878603223732,39.80437118574938,36.5593119411693,36.43240319776105,41.00322426650454,40.67696658280189,37.08064891041477,40.384292525118035,40.32310826359362,41.14389346437646,43.267973266010216,44.8578871792411,45.1246146920089,42.67048568953965,40.08539998116475,38.43296212382708,36.37721076224507,35.20093542221867,38.207048852748194,39.392435249639185,45.17863518810816,43.99673651664958,48.539145049861496,50.86933635097788,46.94379747889857,44.062319025865584,42.20913767958069,39.783907229165756,37.15950194605197,39.441039411393575,36.95334060815656,40.474498386819256,43.492117053366755,41.11721388591392,42.42449326469223,40.15890761466162,43.54616465619908,43.53764744191246,38.524471243475325,40.469735238144644,43.61798723545654,43.38597581590233,46.235929648777194,42.15298552646652,47.42578307044807,50.232951388193996,47.30368969239615,48.49949969341353,52.86540806729345,51.89914206635273,49.50271466869135,53.28720706232829,53.13804365231241,54.28234030039583,50.354415499675945,47.853215747470934,46.88511312327767,45.74215772913192,44.10481844201704,44.25833296463948,43.444555964149664,46.64223007370866,48.16708991291771,49.294891823039954,48.98807191018532,54.47633804732972,51.109406483784944,54.65832698440129,51.84197431822014,50.602157818252344,48.44717853171231,45.17153714070538,44.02107115329014,41.83885365777997,38.687918131051234,40.3981721343501,43.09496712140796,45.965468208304905,46.54489141444939,51.60603676761857,50.5405893869335,54.577156278963635,52.44728142590193,51.28004745940797,47.04651840718165,49.190146748401176,45.28785939846947,46.13437015255125,43.68578834932318,45.34644619604562,44.0345808122162,41.46015606803825,41.056462810621504,37.40986831428242,36.27347591130543,31.594300390635233,32.3292225833341,28.59152260683629,26.265250280012257,29.64723403641032,27.185937924052386,27.541828504281405,28.67253723385388,27.034491777675,30.484879694006278,28.39220821283908,31.748995049916115,29.911496260898318,35.77855894874944,36.76090215695566,34.831896235729815,33.318130857268756,28.859950272861244,27.55831605430836,27.100855228383413,23.57312764303992,24.14436555918682,23.29750137102357,23.134763275252013,26.24401494213143,21.124405814680234,24.292861619222634,23.70346917944895,28.154756324687973,23.20494394040597,23.86359371434595,18.122476621829886,20.11903167439641,20.90316955078039,24.021078517272713,24.508846042449505,27.988658100009307,30.719069513281475,29.03053704203121,31.61690929570066,33.61026601082028,30.900254920285057,32.359202847566245,31.65477871845156,32.37864213240334,33.2120427088187,36.44786643243231,39.58129435513862,42.38290838577696,43.314903875043925,41.67450983432985,39.07231429284401,37.13328169390778,37.292073210504256,33.185471413935055,30.064036468115162,33.95629627803485,29.124011518895397,32.87539238103446,28.772485897010302,24.37460557680641,24.033900431723538,22.261710836385262,19.208461382558045,19.004096328864794,21.058145110360503,23.137526861970265,27.784552986016614,30.98121756703684,34.340571466665594,36.54346735293957,38.26437777885199,41.662812564357566,38.980239736985624,38.18874154328503,33.89587454105041,31.518637409536826,31.296006426872502,31.08216000830795,29.153749007455303,33.539195298485794,34.54479487405701,36.44093371451066,33.7178967200911,32.23567392203309,30.197192536612956,29.469778093933474,26.041982146404123,23.77833947709859,23.127000948267156,21.197476367843677,18.393255396716647,20.637126636119692,19.356074660517532,22.71795624373771,24.304820520634767,27.23023352103004,24.533852847009342,22.11607112584404,26.314780140692452,26.707207722548063,21.565983780888974,24.37827701423964,29.859719779800553,27.080449728560374,25.948638273594373,29.487970706965836,31.093831985355287,28.15156547077205,28.84757838644502,25.45254516551124,30.34158389195265,23.648991469020693,24.84287844964795,28.884319574570156,29.789921856775628,34.172535036166636,33.27322063707997,34.837891219674354,32.66086915619441,34.72019409996376,33.29444059671404,34.24159266085659,32.28404044659459,27.576329609200418,29.375375122626377,29.341356639093025,25.136273597932117,23.890622303981058,25.330334819658727,22.446993847077444,19.456421149618134,19.3960631734788,20.285327173814522,24.908266579727076,28.030120622413847,30.00421753455946,33.59132926273765,37.58973126193732,36.69179385664504,31.973484656650047,34.821967280819294,37.70472294538566,33.97500804481111,32.27790419236764,36.619403955514706,36.909795283752814,33.14647283588364,35.84028230559724,38.66658736136566,36.583780177540696,34.75493882925314,37.16764924133439,33.91645664206315,34.967647264513666,33.084464948798995,33.873388003701855,33.146702494606565,28.553733228412597,28.838982983650535,28.73770442447276,26.63405189287683,23.344909386192615,26.099879737018902,24.683498571017427,20.47923140298539,19.880980931868763,22.804907498612213,21.16562563071173,17.966312048286866,16.476799993353286,16.839914557107686,15.935170517444819,20.34466646877223,18.526494407970723,19.981909927896215,21.77460234202003,18.50534038339507,16.028936319815,13.295770882389908,12.743739919466126,16.576667079629527,17.861282315518224,19.627578019582263,20.53763390237199,23.841760614822388,28.002991638450936,30.502552323219415,32.83695578068037,28.5009273210982,30.115937095497046,33.91798784231044,31.489707979944026,28.808080433842225,31.68465940789603,35.67999088869971,37.51514563339698,38.705640215631746,40.38696180699519],[33.46208613896431,30.20317338057067,27.073605815719855,26.37709117264434,25.00904028494213,31.332489743491866,32.42509490759806,36.14394544769835,38.44887241567688,38.52508583236764,42.308500467466686,44.305012003487306,41.092728268613655,41.305327202350355,45.744277167914255,45.20890174134559,41.69517926806081,44.95377367397366,44.910173178858116,45.400489537161754,47.49077793271272,48.7342382346356,49.089493821034814,46.561177481993205,43.98005507464919,42.680203782394095,40.51788654704553,39.58749678945381,42.53955300257586,43.60884797890918,49.6513697373611,48.15164457666226,52.711751414865326,55.00509670540345,50.959099120195475,48.18135703985934,46.05639929351199,43.634545178459824,40.84630259187879,42.49331794097557,40.33176703657511,44.22330862093678,46.91889248621528,44.398444042542735,45.70891901008103,43.26099895673227,46.42375358636505,46.4531284086649,41.34309972757354,42.77839428054766,46.0267492081211,45.668423394298344,48.66536143593738,44.97385296126906,50.155671534307515,52.935325975328496,50.33498415647178,51.753510390843566,55.95259195686665,54.94794913121794,52.976427552623946,56.97764150066101,57.00783794138914,58.26714702898199,54.21819527976558,51.78831612417056,51.23763899171677,50.18867524661533,48.83071118592343,49.09217324372206,48.39925726530446,51.684879539060134,53.04613822120531,54.00818877224935,53.5536962798812,58.86397932031041,55.25729800112572,58.71120527501585,55.68136767310608,54.1753509326206,51.850751167484596,48.288479952135525,47.11230087900938,44.54433285211784,41.607164527862814,43.7473854798385,46.67888068807068,49.55057440343822,50.482078666323204,55.56783793395343,54.799335395743434,58.97624225155928,56.941198797833714,55.73207755735925,51.58465446251026,53.85987638616703,50.031092880796386,50.516119799429916,47.9766972169779,49.331070153840834,47.9229443831585,44.93566114380472,44.51525059826696,40.52222060855973,38.87242136988334,34.36433820606389,34.44058137575293,30.425607396512415,28.462216091866964,32.23934784042755,30.34376060260671,31.11683190693797,32.76763368656045,31.348964227524235,35.11391398527002,33.1431246712869,36.44425752567736,34.66849563658572,40.51186782376844,41.532076019033774,39.79730212378537,38.30372841683922,33.94289854315423,32.53720949212309,31.926557780566224,28.10489937805094,28.142062035931026,26.99971663946258,26.222469006498486,28.771510983747632,23.28410718201271,25.63345582431788,25.174201230645746,29.921821570146516,25.569508484774623,27.03589991297341,21.488502908518182,24.189109658583433,25.47592766845134,28.302852094978427,29.00719553257347,32.107280643870666,35.00919190499125,33.30615864765005,35.589615637266135,37.74130748051741,35.16211448164259,36.54125896446765,35.58417795338898,36.49929871872643,36.90307312771387,40.39075326319613,43.09792735100879,46.093646094050165,47.26808008946456,45.47926007179758,43.070876794804526,40.769804622601214,41.16877557117488,36.63405374066286,33.653676155578644,37.67923449767733,32.91409810364378,36.244537051636144,31.79353691567714,27.675281085859908,26.547831318157478,24.51063932218675,21.418489592757307,22.13117090904779,23.91813178911557,26.58056026058182,30.815017713690054,33.99189154057702,37.476919475725886,39.586816614521545,41.771914165370326,44.67738722078809,41.91560253869059,40.7979226361945,36.46248956653873,34.151680342522035,33.18585669597241,32.60073354935036,31.151322139051974,35.78818621897887,37.32300535860979,38.66630288801605,35.960452643423984,33.97682089020684,31.57047494375147,30.875244049987444,27.08956307671572,24.87716862694877,23.853684469461186,21.366797911313153,19.510782842473162,21.228999151581455,20.173979286876136,24.205012468738513,24.92623609554005,28.495258423084735,26.456041176380836,23.41607243761544,27.239288558362173,28.52819164533431,23.701306005382797,25.601387747730875,31.18038523750301,29.296530259457935,27.83337628537189,30.978429279824677,33.25138643204118,30.630988625827538,30.596980518400034,27.048550009476138,31.207369302224695,23.91778076751845,25.200886061489335,28.925304414545632,28.89339914049695,33.018560150966344,31.72265609911336,33.62620268667023,31.494705347468763,33.47459364250496,32.59921803864478,32.813644856311456,30.543508105291686,26.668402033984275,28.353358306222002,27.351525126860434,23.34288752787698,22.780157999332467,23.83027898425442,20.03136164420442,17.733264547118438,18.61411268718849,20.188587369975533,25.17348223703119,27.786755950769518,29.992425568843508,33.81638541754482,37.74161790457603,37.46162688025656,32.780967319508896,35.41733259208395,38.76043658664685,35.518591126513115,33.501921330669006,37.8948018175448,38.6115982672829,34.86030933321281,36.903736315249034,40.023848996353834,38.45913848789234,36.058576543297065,37.989138048406375,34.525879095251724,35.2162841365682,33.43332869072041,33.50672680750326,32.844834867016395,28.928905589546652,28.568274284047938,27.92248105853794,26.265322960686387,23.128205870763807,24.657376005804114,23.196085624683644,19.921334966776346,18.7417920214435,20.53308655545251,19.06906373733778,16.674424186018623,16.616966929340556,15.646546996764428,16.14501679190468,20.495560950310807,20.126939843346072,21.62092835483683,24.387401514955307,21.324510838674215,18.65843540083248,15.237834882345968,14.800477626064453,17.940061098203586,20.53017618913805,21.796296872258125,23.740305700882306,26.68707070530315,30.71000238046228,32.86535899456913,35.82052970634399,31.695763522391402,32.86455890251334,36.9011674584916,35.08196746994204,32.270226135871575,34.58989413677586,38.62204799904095,40.43742567256735,41.56688267823566,43.15921152338177],[32.326014658962244,28.865540065257363,25.128662019125112,24.547363484623425,22.224414766349355,28.694946258025716,29.41284552231953,32.887475568111974,35.44405295995989,35.382063016248885,39.15970940302998,40.95837684615958,37.552004443006936,38.12652762139312,42.33279796277524,41.552360153741425,38.09382573326137,41.298815125547456,41.40329323922937,41.57973959399723,43.7826210686102,44.857977664305935,45.427981676316286,43.030676812294814,40.25951429863378,39.089259508348,36.69875960342092,35.84115323222209,38.6739524221529,39.64868980500522,45.879101679378564,44.17334582094439,48.74439940983124,50.95343939158287,46.83028278793081,44.13042655367734,41.84139662054774,39.46563040361077,36.63511470103318,38.07560121140143,36.18164030331701,40.194377994006146,42.77093430847429,40.356453922407894,41.8883601766512,39.58524717331683,42.71526940114707,42.45957186072311,37.358686132134,38.75018706166772,41.80465056643304,41.318802585062215,44.2649513723814,40.59267705963627,45.657427137730366,48.5555779610719,46.09398714825907,47.420662665158304,51.597759954437485,50.76163821731021,48.88238277889015,52.89988910588646,52.91898435688315,54.37795403879518,50.31818217251838,47.794304453772895,47.55802468797807,46.46415049080401,45.43601957279569,45.733766042126504,45.25274413763411,48.6942191880621,49.75637664128418,50.590678499611954,49.891846685253434,55.05164827838173,51.2783465432935,54.62075563485729,51.47813546174974,49.88197317187921,47.434754288443365,43.801139675282684,42.57953873134692,39.930436445329285,37.06653641150914,39.31516134495869,42.37405451918283,45.19347096618972,46.335467382726016,51.39674439321876,50.83444358383084,55.11874104165971,53.16570778492905,51.943107786736384,47.91135767798926,50.357117218760536,46.66255534100568,46.80763488467154,44.30310096390395,45.64346404803121,43.92266819720618,40.891916613466904,40.250089053269946,36.2672675030272,34.37455836756724,30.016539030216716,30.083906915710337,26.051396424224112,24.367768257562496,28.152347809099783,26.5552035529277,27.126894878040023,29.142922145578588,27.657657769658513,31.619347524265738,29.748105719028562,32.97772170689459,31.410227810127562,37.279776741632986,38.152734208376614,36.68843615831949,35.201565177480006,31.0388748167898,29.508780280613017,28.8900908729543,24.674038954474877,24.74740144664889,23.125778927969538,22.13256527505056,24.340445607495326,18.876954089776824,21.17394182266954,20.509419184952435,25.276153256541495,20.947726838977008,22.62951169801507,17.26638455693588,20.27237180891815,21.984089155941152,24.53536730310999,25.730034356684207,28.69311198337645,31.432411468694312,29.561766895141467,31.613864145976994,33.753711942349284,31.272755916391855,32.610286638429834,31.576429111713043,32.79035567072624,33.145603472705055,36.916370717792695,39.47917248332209,42.85697175025629,43.836084057359926,41.76384760638879,39.31152209883243,36.832632457015045,37.14752535987302,32.4284395501036,29.376600595243346,33.42384799971962,28.760059483259464,31.886527964759015,27.430429504770643,23.575073409816383,22.146964296171,20.391300232345458,17.076451412170165,17.949999647122258,19.480881342446047,22.30052098363577,26.331936878134194,29.46521894688571,32.97804739871974,35.08804890850047,37.43265247550745,40.16671202784629,37.3484335944974,36.17108133821643,31.83020448531836,29.56063600150255,28.47666874942056,27.901042991305932,26.48114653176155,31.219835217370512,32.892633528711535,34.27025782422137,31.78137052917852,29.65569292864964,27.286859026630523,26.38895924807096,22.571616733974246,20.246281901412466,19.225896543950377,16.873760266985805,14.953559854794827,16.9741471515691,16.395386685517792,20.360820919858106,21.62175621212721,25.108523004948033,23.038626322141532,20.57747115961607,24.586920861611116,25.825460928298597,21.48638954261728,23.67440893616105,29.027449785154342,27.35948415378457,26.40958901192894,29.64449139204601,31.630410876867995,29.43119861429599,29.91136381345562,26.399971203507075,30.575256856932715,23.839311126912765,24.337986933040632,28.101731660050813,28.123826283828844,32.65205679136764,31.045165203252818,32.2427243215375,29.666143751238966,31.290194334633103,29.843479621564107,30.200738269456675,28.473519706090865,24.146029013516284,25.38740998243017,24.915929465782483,21.107823153397625,19.842391641213457,20.64514035258724,17.78308293231865,15.417834768721624,14.928822083021174,16.931563748260537,21.294919332235366,24.201657463673648,26.746307804882825,30.30685019961788,34.48474097804383,33.8315419957821,29.238264323527357,32.37070116461403,35.4924735275216,32.17371409034212,30.608477722465366,35.16283264258106,35.87504328362484,32.37320436778721,34.665349513368376,37.82492652514836,36.40361543511668,34.31864068475218,36.32423342812846,32.87204915286599,33.26608642436934,31.026213357628972,31.318952005863054,31.227712538599388,27.023722907225093,26.349241590687395,26.39897525205624,24.91388867975436,21.130968058727596,23.10395004606218,22.545054454689804,18.85312428177609,17.016901839951128,19.755542846974716,19.12806614303152,16.473848509887567,16.236453753376352,16.6609739042157,17.231118653456328,21.1497587297641,20.134759062651728,20.669087901957653,23.114981538564805,20.760222483987548,17.657446902116607,14.658920074419674,13.09281335355845,15.711719635653791,17.57828387059153,18.198473294132494,20.17570495680041,23.6844288060887,27.354404659787125,29.729046760050455,32.58231670916269,28.713274096021237,30.304352615150567,34.24858773091216,32.272204851240595,30.034874234794064,32.545667077776024,36.60834970771885,38.402213211651144,39.4840841065483,41.13817220511864],[34.98188638894413,31.582091290601806,27.97614799378271,26.55909844527537,24.355070406862744,30.722228075697046,31.01532762337801,34.69013220856123,36.78894384431945,36.16944090062629,39.88398705081791,42.05403529511376,38.231449622519136,38.41279257929894,42.60924980990743,41.92843214839127,38.08146670648708,40.93395566514899,40.422929096265364,40.785323600706704,42.57484928759976,43.60861984890299,43.811088589804264,41.13877090053978,38.72554248980377,37.69381754442369,35.734266520406194,35.232772402146246,38.480223406754064,39.97354391354292,45.970011723498914,44.814945610596816,49.40985987792479,51.29032291788702,47.15923385817802,44.113737725087084,42.26272935665557,39.24660807510414,36.283275067222306,37.75347388665715,35.240536461085206,39.234295400399766,41.81570620153282,39.05772044597406,40.150939955544814,37.550770567070764,40.68006713973887,40.92325753546466,35.79488381946451,37.23249352145042,40.68810448143563,40.52614345183412,43.59829238699626,39.97370463861754,45.3984055441019,47.85990476533177,45.128070253409795,46.862918144024235,50.975610167597914,49.648800425501655,47.78468296946216,51.92892158538538,52.210695667263984,53.2301023122171,49.07982483616264,46.90895472670008,46.46780804328391,45.76152615184716,44.471976900020664,45.146534142275115,44.39708985829073,47.687825384654275,49.022838419019514,49.5907379582205,49.33290935668164,54.44269137238852,50.72557070352959,54.34061447026112,51.23949220020353,49.545148227170564,47.52722217065766,43.85844752176257,43.195917484955224,40.46215316897027,37.285756253328664,39.586054579825564,42.205289278031536,45.47993624458886,46.11454807744192,51.48218109520744,50.7035105785539,54.88014850920695,53.117551039274375,52.21566102587931,48.25847402762156,50.7393640767437,47.08377641202942,47.61000075083268,45.3906101999264,47.26202464387694,45.19195655670184,42.71642660102218,41.61995506678173,38.14891964908125,36.20400043522084,32.06847112061122,32.61884414004209,28.711440584699062,27.250888696611305,30.774070872884018,29.01508336131891,28.854502731085137,30.613361773548643,28.505861607691184,31.981183993714644,29.60710411507026,32.51498784971927,30.377850041565814,36.00227014409996,37.451355575077756,35.9403764476044,34.85577095041406,30.507083584798735,29.516013757278778,29.5216676080807,25.428136357425196,26.590819328568262,24.809580898580933,24.28451504837103,26.4079123527384,21.30095707178404,23.859748558298744,22.416834308372515,27.172052601008605,22.33423494928994,23.74657984273085,18.53195054397505,20.656801516108178,21.732635916083822,24.149296526283134,24.302727890911864,26.939187252194483,30.170394967032188,28.793564018241767,30.957675700606632,33.58503286771732,31.247771130195083,33.16026079721929,32.648632550521654,34.113105660319945,35.06609194398146,38.79430118231008,41.738700296541595,45.15786095947454,45.740454483763465,43.598498239120296,40.799821052785134,38.60153853992472,38.35616660950112,33.941180682422925,30.231503527166982,33.79062883643608,28.604144294834803,31.797210319655132,27.041474728030938,22.647070612619046,21.712719805631256,19.192849283023282,16.583316973835206,17.423882490189435,19.625965412157385,22.362842770688125,26.63477343723025,30.054251252445635,33.691338929548444,36.25446871791007,38.354311541571576,41.36329523150307,38.13264763765568,37.30046726439032,32.480637332063964,30.918141265977486,29.723863907181443,28.85409944272007,27.08737974877301,31.21148112146476,32.49000644274023,33.62589056259188,30.674853904053943,28.955337111872957,26.631818660104305,26.372652802337555,22.865487700459017,21.11396804990638,20.783766407642204,19.121353679134067,17.477547693744533,20.202645135549226,20.149549117776104,23.845207343269397,25.678254325825606,28.938399766760522,26.58923570043607,24.59268617948952,28.76583067480444,29.641142844333462,25.171013531302037,27.790933380910566,33.114835017586444,31.001560427123962,30.16721979858097,33.59352613633826,35.28059527401831,32.79455193586773,33.56204447106071,30.10622789844979,34.63009396688093,27.89770343755371,28.61288406342994,32.48313229266725,32.68392709068389,37.1780576842507,35.64448700656852,36.86087893260296,34.25068947008104,35.782156335154205,34.18189022929195,34.47420983281768,32.91643177870637,28.590980587447635,29.594864668125926,29.108614711424995,25.49896021646666,24.082626260741968,24.508207758705996,21.868232256314492,19.8090738154759,18.68027752489095,21.11802218425052,24.95922105801419,28.078703070936427,30.874909816490746,34.225377575401765,38.5579659027021,37.58638227483958,33.07715814099538,36.50475380608008,39.40838342726105,35.90008811580857,34.62417927385001,39.19358330488073,39.73138627424975,36.26799486779294,38.84708798939453,41.89637424411366,40.24259916251992,38.40740389458693,40.59489213286309,37.20930185718534,37.70358100289582,35.39179610912534,35.82879330483102,35.77896345759619,31.4295693445931,30.85138917885183,31.006882379506614,29.45580418333114,25.64770879455951,27.709620158519026,27.105983043476407,23.36009540931518,21.60590622837401,24.2663379137015,23.51444669787654,20.861372595169403,20.36014347164597,20.534727043166114,20.627896429741686,24.887188369509772,23.525148665932914,24.41250994640759,26.39339850704352,23.646928306495887,20.814918870605723,18.036199705396484,16.690602712036313,19.740007610645335,20.846186672376014,21.525903120832684,22.763255210580724,26.822183042880297,30.472065969657127,33.15467297958758,35.541853461763736,31.590821745092914,33.60698195827301,37.373820849857296,34.85574031692748,32.806413657697824,35.75345428053297,39.78666930749708,41.57546541917432,42.675680103570606,44.36879128239149],[31.354003455711798,27.866843053844676,23.902675164345936,22.27224528161819,19.43990892215343,25.765529496264442,25.735733954467335,29.32144026817244,31.448911606487346,30.749508068155336,34.4619104475165,36.55364253667547,32.69333114582246,33.028856444515,37.16206172741673,36.42145612052866,32.667286720463466,35.6543426632788,35.45895334628478,35.78168113174195,37.84869635279308,39.05482579534269,39.48469165387174,37.05900400974655,34.34923926315209,33.07112867837279,30.84809769389862,30.07130034198158,33.151194368580455,34.49292284849132,40.539369956251576,39.28045119716198,43.875365636011125,45.849483996218346,41.746749557652755,38.78628328832152,36.86415673463728,34.08834572971443,31.25430108690933,33.09680554420257,30.718135048544735,34.535324905579394,37.309976050992134,34.861021862848666,36.28838125530502,34.049150881738484,37.35708134084809,37.16637844483006,32.112928104070136,33.936729657065186,37.02768570397275,36.75040108223425,39.63397864032534,35.65842082146931,40.965627299384124,43.710590725094356,40.90068377499328,42.240156601674556,46.51472600345822,45.522917920466085,43.36408520031417,47.31592867456851,47.349510632346615,48.59007374818253,44.54387123090205,42.1046948117678,41.636907951664966,40.675007252805884,39.50236237253309,39.985435039176814,39.39749510804589,42.80584829582882,43.94525920134416,44.652735736935995,44.161796413654805,49.340044683373996,45.65549512247636,49.17855375568558,46.138030507575195,44.620876584212155,42.484240867146724,38.99314867761633,38.10975287738106,35.65267229198885,32.451973632438126,34.46925007765525,37.16568388748386,40.25453625086169,40.94780188685749,46.187553378610666,45.399787645186706,49.598127078437436,47.743403554788635,46.74400896297613,42.76482131084726,45.26187461324527,41.625645929911094,42.04590404166299,39.81720473194291,41.72602391226574,39.62783471655433,37.24524909253032,36.1601053091569,32.78991014690395,31.09825900198096,26.861906960220665,27.78549154969811,24.0828771430787,22.474872133512413,25.728186496688227,23.804899793845607,23.36853104472726,25.08435399872452,22.923884810384475,26.483854765301263,24.23882584712107,27.259573781267136,25.418379929145633,31.214182832956624,32.324763132988664,30.883909033054614,29.64680120896191,25.428690673353863,24.237509337361917,24.165050806603357,19.907586546222575,21.22742254142174,19.316837281628764,19.0007756640008,21.34404462901771,16.514312334457788,19.641520617088315,18.183409970255898,22.65839281392974,17.45700727547905,18.401425494699037,13.065120084898194,15.098732860492746,16.34582460733585,18.838105231039155,19.587309432491317,22.57809100491238,25.400502441953922,23.706857311927028,25.92263718176562,28.273300883820497,25.837032147196645,27.61252558932074,27.07247746479124,28.546653736727496,29.606070158905318,33.359971327947676,36.38590331287645,39.90275669833308,40.307759774389396,38.1034565647235,35.24305824851687,33.09941999918715,32.78978294552861,28.464797532465308,24.77348008400768,28.426224483614224,23.380515142890303,26.786816372700997,22.3722520681672,18.054082072892346,17.424290063531558,15.629432306401904,12.572854318938266,12.63407799875475,14.741872947319756,17.15637343481488,21.627130173578742,24.975684803200004,28.510905426304998,31.010340120782992,32.94285332775032,36.14139009771005,33.06812070053384,32.337788061882286,27.698712858721965,25.867828579643806,25.26440543295551,24.831548625029225,22.7731189730734,26.98298964676674,28.051548596165475,29.790733758269017,27.148459126016704,25.6051039311395,23.618503733860162,22.94934283555445,19.652739485870093,17.58870304033756,17.40690477082113,16.208074119916386,13.597840514886405,16.730070630205244,16.663432992941356,19.7150899021549,22.353623338341666,25.059814580161127,22.3266492841543,21.103577702190993,25.489454203486243,25.783458230166215,21.57697874437877,24.792693994965948,29.795069512683156,27.391847234112774,27.08816161394892,30.690417005164047,31.82554417542834,29.536941440473836,30.98217917619874,27.70283435323121,32.48578942336745,26.571055237286632,26.720146657858212,30.693290547575494,31.467975877729195,36.280041959821,34.8477727968074,35.45760699577024,32.65346047204009,34.06868723269978,31.85433367445366,32.782561575302466,31.68786213443157,26.632997445369597,27.550455526155968,28.067310999617654,24.44320945654734,22.27933903254956,22.997666757647945,21.51512511450477,18.905749589019084,16.65350598002156,18.510850838743792,21.70463303870072,25.244342971295588,27.90846695424807,30.93240179990493,35.34928980976451,33.81417731569125,29.36467875415089,33.09835651441241,35.57312382760147,31.758211757649164,30.919698556137423,35.48106667587953,35.76337610862211,32.479772539815464,35.5316454594068,38.39995939932975,36.57274767304863,35.25900992637959,37.725851757925795,34.51498798915788,35.04940782177915,32.471372468809946,33.47941223090249,33.67722762518188,28.83833103874959,28.516970439872154,29.375851418642004,27.668788380262466,23.535026886760303,26.575716443096848,26.45373662067219,22.03845555569142,20.399791193759594,24.17099762943383,23.708040312381083,20.53565242571578,19.20674416687846,20.853401905683587,20.382434609978688,24.19987725918209,21.82502327993382,21.968539197584857,23.19754486289747,21.02470626453429,18.076893942713035,16.109597746068005,14.005674981884841,16.818197235865817,16.61279700322019,17.139226915470694,17.73177790673283,22.27311291649903,25.71776164337136,28.677941219992917,30.66039887434243,26.793671353465903,29.271956875249572,32.8226378470685,29.95373201839027,28.376875039736035,31.653915940578564,35.636311110929505,37.41377025607568,38.509199272449514,40.27534865639309],[30.00487609219484,26.709489350958865,23.239125227795068,20.633381377644394,18.643138581700022,24.60323086472257,24.534721317917896,28.512855749067757,29.979983253866287,29.06930728389831,32.732208762274986,35.26499753258354,31.45435418343865,31.13052172648541,35.54128168459282,35.19586803106699,31.270246411775172,34.27164694946291,33.852530916777475,34.7623098426698,36.70967153782111,38.37199198447429,38.50339278289347,36.02685087748265,33.51684054520844,31.81166805906516,29.94567270347183,28.923655566004886,32.19568082524827,33.793956286139256,39.3919262020905,38.67238528825916,43.22404775156213,45.23690406346362,41.3190629136206,38.169585191602195,36.70257213031678,33.8214897980461,31.18886490726268,33.786926200985405,30.839986481666074,34.15727451635644,37.3116711573469,34.905873908134325,36.09233414834947,33.9075852570451,37.426469236452824,37.47498112145424,32.563778567150415,34.89322076779142,38.03829211467705,38.01449568894403,40.77673612507284,36.47600306235642,41.93547313484869,44.54357143239353,41.31819868738427,42.555451860011274,46.96171446340121,45.82944776904973,43.2205479193759,46.95158762263443,46.85785867893046,47.784719799235305,43.864219803719394,41.483991129590166,40.356282004777746,39.39642009590574,37.67412657932746,38.08737712214431,37.18673174427644,40.38099646371383,41.930054120990924,42.84414243845738,42.73700394012917,48.174425982678,44.85322752144613,48.57068659101767,45.82921831857438,44.621421397185294,42.80141826675889,39.65360095570209,38.905500715875796,36.88139488912115,33.433264910351326,34.94349438497486,37.23859797526998,40.40052988887496,40.534233369050675,45.78485200430577,44.54398342438554,48.50649897954044,46.53759631252367,45.63749025202554,41.519138753454065,43.77281146641414,39.98877221305087,41.0461779499725,38.93372381510561,41.208217027263096,39.37726388722782,37.50206413734555,36.536725093710224,33.5815336489048,32.54692246021598,28.145420573031345,29.691616577509265,26.331149559846732,24.272848510001356,27.071995718014016,24.451715008775274,23.671074137127686,24.545368362447938,22.131314660476548,25.094653640922832,22.563038207440453,25.620257320157876,23.455210669721218,29.213072853094918,30.491786063732267,28.64940977249631,27.462967190402566,22.960597115078173,22.08723926738319,22.32143875686558,18.722252865087828,20.764777519864,19.506809086365166,20.023991374749947,23.04748214426764,18.744692848245315,22.488761625038126,21.08841279786407,25.13758645455173,19.541139560011796,19.472971211509474,14.103443279816153,14.839841906557307,14.98269830164394,17.969298272904982,17.864746623920887,21.323515169416815,24.145269319238693,22.694378551407826,25.406187616569746,27.652587799423856,25.055288575680713,27.020010801491058,26.878082435090526,27.972792837171422,29.55864592104432,32.83562285669682,36.38226350970256,39.44330650201039,39.697279212830665,37.826140399794575,34.7862471518805,33.16438802003232,32.61053885745281,28.92257230197415,25.117653215542074,28.494047815653058,23.30721500101874,27.24640566491975,23.249476747391505,18.489090596333366,19.029372750841,17.291547901052542,14.759599750948727,13.673869676543852,16.229659430505848,17.76106114847175,22.695816705374614,26.037611562940786,29.376362277816654,31.97970431613629,33.30170097628347,37.084191005801095,34.113937593561126,33.77739740682367,29.21124741999002,27.399283776219754,27.561206547120566,27.436111473618066,24.959884525452726,28.683553432277062,29.082716739547934,31.261351146135542,28.422950141018802,27.54760314720673,25.92836530337026,25.452051028924668,22.649664774394644,20.762384315014895,20.910980000705656,20.087098403928287,16.966338906571508,20.12740228918636,19.57507104423992,22.05101054422133,24.96284051468084,27.164929811919748,23.955812083474346,22.919060485444422,27.400462208736013,26.982833117471113,22.300016740976346,26.0293635112481,31.011528953996063,27.743615200476732,27.422446652758097,31.245350834925542,31.963570338644487,29.154897934464763,30.91085181259083,27.798147726756252,33.09480337408382,27.395919530089294,27.948846722451506,32.087317291478634,33.509537030413824,38.230799120885536,37.278889490614056,38.083130018785965,35.533381285001965,37.22014800142691,34.97978951269229,36.33054352617643,35.11703329572771,29.794504164388275,31.062904458699055,31.893244141561947,28.017726305718636,25.866632740270425,26.99508064544254,25.4769644764865,22.49074780904671,20.57841112625229,21.676808318955047,24.961127810228497,28.624818263744096,30.87570425895936,33.85467294442712,38.1314466310248,36.354442987153355,31.873716916621476,35.424547374730984,37.641136179681524,33.502558408134206,32.662202640921755,37.03141257054952,36.950195967684685,33.53681349047117,36.94965440119491,39.522681896807754,37.176287091938484,36.16850434353749,38.96433822287842,35.94531017091675,36.943449477809125,34.59439032081299,36.00083188424278,35.79408725004832,30.665811704627497,31.024499050649137,31.83614923423408,29.718550275321853,25.91777829055346,29.498000130763504,28.857584554569385,24.10990865866457,23.263220391848588,27.15766639350976,26.093159358742945,22.590026011418377,20.453605972482713,22.14611590228935,20.724311790902767,24.721461449078003,21.68156170883439,22.348369773829013,22.88058158346028,20.171216630130786,17.78635589691852,16.286361423803775,14.823944722589488,18.33721467326407,17.471666962385548,18.82653999451123,18.373648445483884,22.79364412402272,26.520075584538198,29.617921740619675,31.03812126041904,26.857300534567912,29.48069434428958,32.81832793289801,29.459302606329242,27.691926575110205,31.355641217249328,35.233488073365635,37.02252960404317,38.189250143636194,39.9855983289271],[28.930969014738398,25.666300377613446,21.97080398720725,18.891264035255517,16.24164081765646,21.792555636257525,21.05052176770142,24.91092892222024,26.159316366363846,24.828810807664613,28.42274875785841,31.020240660470243,26.94626254240928,26.623737730451182,30.90721662407848,30.520069802567228,26.512075157196527,29.46284072084697,29.1004849304971,30.032593629981527,32.085152453460275,33.897571465023994,34.12090707092523,31.81801159580681,29.152554715101083,27.24885969443234,25.29923983543756,24.14157339225968,27.415545532576267,29.10166957054355,34.622307745331845,34.04958504412082,38.59011292224339,40.52123470070714,36.638803648759534,33.4348499084391,32.11009933096903,29.20043081221104,26.680602080966416,29.677642790812932,26.631599324742037,29.68748257895874,33.0194365458083,30.82841276725142,32.168623554453916,30.284601111319684,33.92850267041334,33.72569462980357,28.977080059367168,31.68375879382392,34.548541878445306,34.54824973796432,37.11956288708055,32.55016907399938,37.95884221104732,40.63891404444631,37.263677050797504,38.256203891095495,42.75648188171827,41.773267075416264,38.90218453050023,42.46947055865545,42.23935773054034,43.21585963684312,39.37818573435131,36.88063688283593,35.664676128920114,34.61249571914977,32.92987575757451,33.32600880599268,32.498938341312616,35.77311146249814,37.19520898845679,38.11005415153084,37.93254188305455,43.389718835620336,40.11373027633412,43.835088177357356,41.17246856367498,40.100366233519416,38.35781941022045,35.40587745625552,34.699059234463554,32.95403388419907,29.39801158500142,30.596132853933618,32.734756729047696,35.882749185738675,35.851306497113704,41.083610608945435,39.76198691322827,43.701375052642476,41.74269253181595,40.89444516446654,36.817588228498984,39.12550789241999,35.41172803368887,36.494062479290285,34.53272501785918,37.09106465764607,35.03265673410059,33.548863670784904,32.357559507220095,29.8243273158327,29.04260324882747,24.7945288968029,26.917145687779264,23.974711855976807,22.003910962911814,24.24554881668785,21.492268856495663,19.989115164187236,20.626484765038494,17.803964376983398,20.506401140135587,17.84073014250519,20.824726921364554,18.716816515078385,24.545935995973768,25.71410054057879,23.95877156875566,22.819724295919546,18.39856500071847,17.607293618611067,18.161381806532358,14.502780619202285,17.45233010602971,16.004026340334658,17.07463647730804,20.114051110660906,16.68924975459512,20.80270161364232,19.15546840511788,22.595732542913485,16.758925784738988,15.877922142285682,11.026517253769365,10.59107804507093,10.272496465304584,13.283237774706564,13.27529377435528,17.031279415334623,19.536548353565987,17.979474361539495,20.80780320880646,22.94585347993617,20.338530510487683,22.450121561530022,22.589055060563993,23.83372760292076,25.843267890865985,29.091159251173323,32.839535756766985,36.030190003188544,35.8800899285296,33.89061073775715,30.64002043018719,29.229956524285317,28.307571325992146,24.953508594036236,20.898603287229747,24.02177734701741,18.82504096301462,22.98714692625502,19.40255415784385,14.656455515372583,15.975776512320055,14.910442124527796,12.66389246750577,10.438711430877932,13.01677512034812,13.763207404834569,18.85425333887131,22.122437837389043,25.29999144242615,28.004514733151325,28.990766645918537,33.04725417583758,30.09346014174021,30.043376954700623,25.565789439482003,23.882629915485335,24.63311797847349,24.835134138972705,22.01752705855613,25.34568308116451,25.29582666512177,27.957820986512708,25.33526428466527,24.889105865678882,23.71897652158755,23.128786267210277,20.891615607509674,19.12632339715461,19.695437625868294,19.63432119046528,16.161529186084252,19.57714073429715,19.304987318551003,20.869540032474433,24.562407235550697,26.07765673470629,22.582562475636127,22.570680076708257,27.04965127751188,26.018582098727723,21.873432729934166,26.07565299471079,30.52569171698818,27.023373816599,27.303788169990753,31.19494858008717,31.27505288926123,28.71165827446042,31.158408467436473,28.331861900759886,33.729575856584766,28.918805987308534,28.96745816996053,33.05864989769014,34.87448144074568,39.75383234982372,38.841666928527346,39.094924601969126,36.377212723797214,37.84325108143606,35.08178881846739,36.842044377477464,36.123865083874605,30.411843661386854,31.418423851948443,32.97484823879377,29.32278909529217,26.635608310058828,27.74615283945933,27.222605812774162,24.15738751836038,21.312196930339642,22.10711495360385,24.3999903189009,28.304654499995227,30.495846862054627,32.9920279074198,37.30221476666674,34.94223076450483,30.708815009388374,34.578132428948145,36.25905453179376,31.890125639990412,31.641445327802412,35.90522259862405,35.543582567617136,32.44111903811425,36.29600355899656,38.62817150027099,36.14040396373461,35.734083553325696,38.75227101225237,35.9674442967333,36.94052438593581,34.34705270691448,36.22132428613786,36.322127058962735,30.909822832694985,31.40971448353893,32.83925277550061,30.71215612266679,26.73097722839436,30.8902680844441,30.734594818368127,25.70485677989156,24.870207043897175,29.365068824803785,28.637888492595806,24.974793211776866,22.427808533458787,25.024127677773514,23.33483991167958,26.836924077789508,23.11107450447659,23.104890691859534,22.769299374129602,20.74033940859361,18.499778248613097,17.933447962104324,15.985314333502961,18.940932161274894,16.601066454192107,17.634743409439007,16.116864207616175,21.06280250423888,24.330916316370065,27.739780462464847,28.483034780064244,24.534899460502075,27.777501824310608,30.704943162111665,26.814376286789095,25.772182177084,29.857023411033975,33.572874014852424,35.30112502341809,36.43445939516866,38.28383903763962],[28.52286640097898,25.018934231459784,20.76930203863388,18.91571809390543,15.389590275565528,21.53796027146436,21.11968029773686,24.5906255854669,26.72758307035936,25.947132665158225,29.649084497252744,31.65308081874432,27.77452280927246,28.27379179234277,32.338817205390555,31.549312263130272,27.91850738168477,31.07026546165385,31.251208335353198,31.55142347620029,33.92456137282644,35.33833929270069,36.00571436280534,33.87565072877353,30.871531451786122,29.304590146078194,26.802765375249198,25.67660077436558,28.53494385752675,29.686384728609895,35.76549403378094,34.39753865322719,38.98683076923573,41.07821648621234,37.023062453563604,34.16706625111961,32.17581379024743,29.707551698918458,27.058562818660853,29.357072531155588,27.148534142849915,30.699463089025738,33.6859783146648,31.61390522270511,33.384241013837034,31.571407279234272,35.019321400610735,34.3843152749941,29.496901817329938,31.714596459560646,34.36495750000056,33.97892160894096,36.61665989684091,32.288887975239746,37.415146529359134,40.448909454347834,37.56695994236681,38.45595547818869,42.88642745410502,42.259538530054414,39.78324486067142,43.49263570029799,43.247784637841846,44.71640593257998,40.811446407034715,38.08687977041861,37.56530529750806,36.3123180196214,35.252953874950514,35.5031914535494,35.0909913879341,38.6075933896718,39.54150910259755,40.419919937089105,39.680918639491956,44.93707945461331,41.3146080410944,44.728393611529334,41.77566080848099,40.476641047737246,38.21847553790301,34.95857298336682,33.821315088791415,31.717063005728114,28.513133398617388,30.158486964179176,32.92330522119948,35.77559211876015,36.52256969874651,41.59786561573376,40.78520105574636,44.99208852389498,43.0254641818832,41.91316901991719,37.901764708229955,40.39966349467302,36.777644386710485,37.09892206660172,34.85466957635508,36.804541835742064,34.70556070897676,32.43866574135601,31.393232224975776,28.15533359879347,26.821523259363193,22.473014581861484,23.86505707460188,20.483741590283206,18.682642782937133,21.529142554696737,19.367464938398395,18.577085802183763,20.192263214144738,17.977614630705087,21.632410908548323,19.574077104017867,22.73324327484991,21.291891458893062,27.234197933305296,27.922028569633305,26.555924359956055,25.129661437296434,21.105226922679403,19.658197185500317,19.468510428512918,15.03566357144714,16.562300989901388,14.529996368656718,14.560618563913865,17.228238676554707,12.950485110074512,16.73260619734026,15.368125866513616,19.285041351256357,13.766063213473686,13.935621861148261,8.47785653675872,10.266743150106773,11.758609604090688,14.360391922295602,15.930599551622795,19.32135410583844,21.557328692685733,19.48112841660294,21.756493215814803,23.71608811471696,21.152151599233278,22.731634053043425,22.15592378322074,23.606567468305105,24.802617008369783,28.55285600199034,31.683428960899366,35.27450890846944,35.48593537346473,33.236187132060756,30.30989393672024,28.252915886039325,27.875444271334462,23.694131903900463,20.059919985772797,23.82058950857748,19.005277591416366,22.674550237911202,18.788370260191893,14.711173521489046,14.558917200594212,13.85321633791529,10.534339872325786,9.341425598335936,11.144167642972752,12.929274958684564,17.60562351575151,20.806792653365935,24.16667414570617,26.562751251814575,28.259868661140146,31.69511131884732,28.83980004922366,28.246772335678006,23.886602009486506,21.727184373341792,21.90726011740221,22.027925321224522,19.671756431978814,23.86848238632493,24.651291940798973,27.07072540879082,24.83700725401764,23.56051442057078,22.018030692114767,20.918359873240288,18.036366035502798,15.743755801924053,15.747699470856459,15.178484459160995,11.626585799545952,14.92665497546872,14.785056775628656,16.836797890531763,20.299880690090724,22.26318327574212,19.13475905455583,18.863050293428092,23.319991994711554,22.928837522735023,19.13829901608785,22.902765378314793,27.422743770684807,24.727081824784374,24.997598414680088,28.696915705063688,29.222102400577963,27.167636025971447,29.284891647829927,26.277444756673,31.203624146387078,26.25421464179447,25.875388476012812,29.834045836997024,31.160002669196878,36.14472577137799,34.86465825333103,34.91915035732053,32.01187104160674,33.30746287481808,30.55848803083647,32.105379164427674,31.45613632970678,25.845410911214415,26.683126540251397,28.150542172641497,24.61840745827934,21.864868838780797,22.869272185736932,22.490932316788918,19.534616001517215,16.456968967924563,17.486879473916307,19.823683149472664,23.667960776425826,26.070734831231697,28.686754885449755,33.09458674918758,30.994331297473487,26.685051695697695,30.64673345617078,32.61988147370899,28.51162260512553,28.152476271510974,32.620026968260596,32.61171499343495,29.555386511853886,33.067921829835875,35.69600530915773,33.6915962671531,32.94136687702818,35.66497332045394,32.691643939005694,33.28145936077407,30.503683110424145,32.080280451761475,32.48603703036889,27.26938814492186,27.25549216890944,28.762760754508555,26.936750668656416,22.666908356161024,26.54627165237239,26.832240695891898,21.98696947145339,20.601699910404548,25.165154456540076,24.92918795423516,21.467893651351712,19.4513134193624,22.27213068383543,21.322829304982964,24.553193029256423,21.33565483285268,20.742833640940006,21.095655462071175,19.632044600467772,16.769349275691457,15.838002881491668,13.189903113841277,15.470690522029942,13.653958549189477,14.006248490812442,13.634901527199649,18.665839001816543,21.8162526927434,25.056217283557377,26.52546318451717,22.785304853233832,25.760784089486407,29.014317729930895,25.76536586417681,24.73764308114573,28.34730935921677,32.22181277757945,33.96533247831441,35.05199568153066,36.88838203181137],[26.229612144605756,22.760724651837926,18.846458541871602,17.00944054933025,14.380149457050969,20.665401206653886,20.91335320637989,24.68461033573047,26.741671122552496,26.428430023318032,30.19852587123815,32.26964457964889,28.866173824474807,29.10946965762489,33.49442689259492,32.976802906636,29.523509392144796,32.96769750877157,33.36709392140133,33.98894110158271,36.48151445755048,38.18061547445761,38.80587388261888,36.72307142548781,33.73811522567289,31.871129238987947,29.414334228673813,27.924780906026974,30.643540153768818,31.590094756677786,37.512979798060066,36.11643613018851,40.66239047647905,43.05335468356169,39.13405624792268,36.3947233535058,34.39454728497565,32.298495320533426,29.847621659102163,32.48075797320141,30.29863861504448,33.603256621688224,36.764169242659904,34.82631651308703,36.593905495171214,34.83484842765518,38.3500619570268,37.735564516516,32.89630712557315,35.222048342330126,37.8283438148426,37.42193787300344,39.99533735265947,35.571305408094766,40.597940287772694,43.74452441072665,40.81293886838094,41.508066609880274,46.01255756268079,45.50048841874124,42.83600464274636,46.383018542980366,45.951995832148626,47.43430631639629,43.642682959598496,40.80725850683941,39.96619277753281,38.50747825832185,37.17784833289826,37.12330524201422,36.61407747359528,40.02745043816558,41.158835539898064,42.37695744953284,41.67441148485316,47.15036414115265,43.748809089277046,47.127120098692785,44.3379063960198,43.267279000262846,40.93873893175281,37.86856865321004,36.45648719062549,34.600373691928205,31.48196537541546,32.85964745926712,35.67316395985951,38.28287357196403,39.01569655328552,43.898773646873394,42.9212036331737,47.02819640423691,44.83914875703181,43.55756915120429,39.35668619191564,41.61047923453687,37.79684589366633,38.35061390137962,35.911357056639936,37.63680403593901,36.12427284936551,33.6688238860539,33.16901044483201,29.687532724251962,28.808951737082968,24.091561175737404,25.348780474131473,21.949193771379615,19.532030645542303,22.482496430974322,19.864568658108062,19.73935575308061,20.923838531820845,19.187728484620425,22.85350581192783,20.99958660141358,24.4801544129498,23.161437368749077,29.20718457877364,29.677319056678726,27.974449016138152,26.26259713976984,22.08360479464268,20.42506420543761,19.82363270591371,15.870305494619329,16.668054248436217,15.50107390638658,15.638427266403141,18.995901955572773,14.452142854718959,18.342235246832377,17.718574933532246,21.595332271077158,16.330609407695697,16.275948471208487,10.491553742882797,12.362502700266754,13.528086485541982,16.6774683185583,18.217307848419633,22.03543597719665,24.09348896365961,21.937555918113794,24.467233333548467,26.052225533957955,23.261671642333,24.496638764723897,23.72230326760464,24.56672028363907,25.54449508448874,28.948043355688156,32.15138083791404,35.278759565484656,35.86764841944396,34.00200551740812,31.27946949736052,29.342015314049288,29.366316836244977,25.326523580779465,22.230985369602625,26.225172476661776,21.696789613242828,25.60081777841669,22.055520648042357,18.03430344813355,18.034829206165497,17.39514151513712,14.013438225071404,12.74223002727723,14.388257220675362,15.880951162590996,20.594285824239005,23.597638655025857,26.771000215274473,28.871574362259548,30.412322494602503,33.97518189916487,31.4817505699645,30.820004813993144,26.81405278338177,24.14920715138361,24.684682089368668,25.03186061907466,22.80361996007332,27.176248877622047,27.94057034979341,30.527511440679557,28.31655560695377,27.049159566061462,25.485732403042803,24.259716806242874,21.2500085294672,18.73161206348216,18.32508036386686,17.175878555115943,13.303979621761766,15.986437563633213,14.87559149045382,17.110387872296698,20.000458757312003,22.046596649962886,18.814010919455438,17.81085077860642,22.294306207838478,21.834946166905127,17.34457209527509,21.103403543295403,25.950692665245302,22.896897015529795,22.769935672023337,26.543105876922624,27.251518729930666,24.811659696835704,26.674042112400425,23.589484092086696,28.71302686921069,23.482815829764647,23.527773390351285,27.609304637615615,29.178917539114725,34.04199906665631,33.083639244622994,33.55807866764015,30.97000332167674,32.65789603694522,30.26139784045863,31.976602326388,30.869894691185777,25.25311965661211,26.669650181520208,28.011890109938005,24.065244143820596,21.697218121311625,23.266338413461217,22.221997180841765,18.84519063832083,16.909505520538755,17.15754851832668,20.457909186210887,24.1250074151971,26.038984533545158,29.010453030972183,33.17517477036943,31.399513376021282,26.87594610166362,30.31101791037246,32.50081316581496,28.36199895530658,27.478383724724946,31.8459306119068,31.797604315476384,28.417192303354994,31.832012069769444,34.42538422436561,32.2063603543372,31.223947108089614,34.00236118362504,31.010740315177966,31.941766105259326,29.523174215845405,31.104650745466866,30.986614179240057,25.74054498203426,26.182323272941733,27.275814528570365,25.141342869238787,21.245014532719292,25.265392910065543,24.91383493777189,19.931036535004697,19.18529962494042,23.616610238903643,22.8041520646782,19.141783876172962,16.73792597595375,19.4288310962582,18.09225965078806,21.47430017706075,18.18020532475724,18.06220440496117,18.56341402828151,16.577225510214934,13.80966448407318,12.701833602934018,10.531687549931279,13.555755098250684,12.37714889480928,13.737448046897503,13.536051615856273,17.800741023355165,21.539265177696485,24.532002394622246,26.237103197776293,22.115578557762337,24.594832233613094,28.05548870832558,25.035000764710713,23.288335781709655,26.74468085133648,30.684771759421487,32.49343490023621,33.66219669649116,35.48568537943938],[26.37369632502415,22.90619454349442,19.193635641573604,18.125957756975254,16.05859784950218,22.446854047602045,23.305407505405576,27.017558187790463,29.33653722492837,29.477837331112113,33.273856142108194,35.16914509793212,32.09909055356613,32.45254030242877,36.894822980360296,36.378938542882196,33.110187754674186,36.66972575400457,37.20567481247627,37.76198428920845,40.301823467294604,41.91719283242695,42.59041595700391,40.48058802400442,37.4935380303566,35.7107303963411,33.194784791370104,31.696718509986567,34.29190418034163,35.03078508553094,41.04021846517075,39.39028415591373,43.91316676190727,46.452955796894116,42.52972765121544,39.94012866746136,37.73124556601781,35.85242662753889,33.38256276051019,35.748940077813785,33.808791833859075,37.265269670666974,40.3062159987991,38.336829522415805,40.12980468079678,38.27241513434355,41.70139080907063,41.10199716523181,36.1868681735245,38.251734239957614,40.90774275920433,40.392732968833364,43.039181203944764,38.793534895558686,43.72436676940858,46.943512132427664,44.19800897934085,44.92543506035039,49.37729080335777,48.92046218629146,46.42332737428877,50.02969301933267,49.607531967429864,51.1886437867845,47.37582655541262,44.51474224760095,43.79073402927431,42.277992104074336,41.00199113035426,40.84750117008977,40.37261511850211,43.77402525749389,44.9012113906469,46.19819986068352,45.408095078212526,50.87552996265096,47.437014135146654,50.722848978401345,47.877178609731786,46.75413881191691,44.25294290074934,41.08178844937536,39.478722202498155,37.48475167156609,34.55345682247646,36.10012789926204,39.124926320666376,41.59511792161732,42.580998573219134,47.366747839514844,46.508894683122605,50.65317597672403,48.4022074257658,46.99013537440341,42.752982022742735,44.949944470909294,41.09377395451343,41.511508164597096,38.895430811419345,40.24689183083378,39.0185153366648,36.142869719008544,35.953308251509725,32.06403365124433,31.058398612523362,26.23445592869548,26.91274345255561,23.251545502986247,20.72367915928974,24.086383785981305,21.66105230490458,22.28415368648578,23.659259375774383,22.40193617228408,26.28932621097724,24.65970157053812,28.23524451565675,27.024975707714876,33.081640117941646,33.46284544472051,31.72522466007329,29.885911066763224,25.73363256286727,23.91328710710383,22.9683018779644,19.12712648978679,19.005329456302864,18.08274334816183,17.705288422300594,20.980672996296445,15.885061875201652,19.276263348202622,19.150648715197654,23.325697787000824,18.54815000489481,19.07845546748372,13.260875914302607,15.870869943300079,17.31473414112735,20.42677100285238,22.08378267510162,25.81606828848944,27.93738818641091,25.736940633101227,28.16312113664795,29.677087208429025,26.876908064066672,27.858690248137272,26.772649577824964,27.423333869724335,27.915854951616755,31.29591968054374,34.19839552070725,37.177782511909484,38.185558634905505,36.446217463310795,34.00581523705239,31.863849206017886,32.31151396093919,28.020202674534623,25.33603280402841,29.56755647031071,25.229486723137796,28.946757308101994,25.27622964747901,21.426092375401247,20.875396487574633,20.04769960108393,16.44534742879079,15.867910078773072,17.292219440678846,19.19804267610145,23.657752006369613,26.576860924815477,29.76846875543516,31.64065833485932,33.450695930261304,36.724120572342024,34.37361168799129,33.42831867991994,29.561549928833617,26.638083241167774,26.823865229476873,27.046422027114332,25.188121194002104,29.9198479243995,31.065732294406747,33.39531771290882,31.186786030703292,29.55424616068745,27.70778659893304,26.386656863932465,22.990083711568925,20.286929411224232,19.378968512015938,17.48434461996148,13.895373093147153,15.955534901052236,14.353778468953827,17.324147916913756,19.27896999185334,21.893080986747414,19.046413885441982,17.028309054074047,21.373762478131564,21.53010027981795,16.708960983259264,19.844292520704435,25.089855273946963,22.411856248050654,21.744625066446925,25.3550285740768,26.681784050305716,24.182933080197,25.357285847642117,22.039628621124365,26.9187562766908,20.986154842083153,21.369518747813157,25.441844973617258,26.66099311631034,31.39930311962272,30.41322862591508,31.324944678391,28.918534670308315,30.833433010055142,28.927458063998802,30.372917536104218,28.804815700884618,23.520492904150665,25.270497113680488,26.067921400620722,21.875953263523677,20.0373938991819,21.813359175308364,19.911796351772598,16.451425801941717,15.664983297439084,15.819338120899051,20.09644062446031,23.421950279638306,25.207453864297854,28.600268680653794,32.6219765798115,31.422885277229643,26.731164512349118,29.74309343409061,32.398551257695026,28.540728455336648,27.089095170800423,31.477245211382506,31.699880134857647,28.08914472475046,31.02497976659428,33.81928038726365,31.80185300822562,30.26333427346673,32.78892353808044,29.609943421796714,30.54101733678937,28.37923074681682,29.546931489774252,29.135766436800207,24.192254103156987,24.53279886100602,25.070077027954977,22.944228753596995,19.267241044775144,22.811819299364444,22.033913609518674,17.277714445588828,16.604077810138424,20.58199563668398,19.479175277459195,15.902859156945897,13.855327596354913,15.961175807809887,14.99150322570522,18.628605381488,16.050610403938578,16.350273425830245,17.788386922768286,15.448992373657452,12.459854364415632,10.383812116101913,8.591686355270715,11.971651121793286,12.503032643264914,14.101104427926124,15.017301930353776,18.464515796508792,22.478917288478886,25.054132380539972,27.409133780941342,23.215588858808918,25.006075932453918,28.792041877420555,26.413454671250914,24.07771395077048,26.990816359035318,31.021011893949897,32.86298917791796,34.040614997190225,35.790459169442705],[23.353327861405393,20.016468505855673,16.788952596028047,15.312052874213869,14.292748150727949,20.38408080324223,21.654369721515707,25.62960476086631,27.619206172123697,28.035794777777976,31.809147751523557,33.850229565824556,31.18782196950653,31.18681413962564,35.88090936549563,35.68190110643398,32.563757539920644,36.34757601062558,37.08331275790234,38.02620836720699,40.68700963483898,42.68787961238835,43.31246451350675,41.32051493366872,38.332893579201425,36.15087549562725,33.70734443986711,31.803202755562737,34.26465105742845,34.878079841862615,40.58721158608022,39.07472855760505,43.51671106619154,46.301437336357345,42.57433287336784,40.052324387101216,37.984656182991046,36.42636770827434,34.22393645771779,37.16529863325187,35.114703441706084,38.15995491894099,41.48074560052111,39.730322564190885,41.54301923693069,39.87178704648097,43.440289299256996,42.795387143318,38.014489317588904,40.415319044570545,42.930367786131455,42.46074453511134,44.95024779398563,40.443223590695936,45.29480735880694,48.61721118538789,45.686768769343495,46.11817701685949,50.6962185279173,50.379575946162355,47.525350484272465,50.86572663014444,50.192176708559394,51.746940214432705,48.10991129160097,45.11680681562437,43.95748378038824,42.22035183448638,40.63131791883256,40.161737792743516,39.583685361827854,42.85130371404836,44.17140983150124,45.82285556917802,45.10393115062193,50.80351541296505,47.67147147622154,50.94657402575805,48.35140065746733,47.55659920038881,45.08968468276105,42.24276314144644,40.445299449683624,38.87460389800167,35.92500664909473,37.01243456309925,39.933071409694925,42.18246309077812,42.981817317618074,47.563402422364746,46.43857158373398,50.41645263538701,47.94667146539501,46.41730094253485,42.01547286523213,43.93775027150729,39.924529623742124,40.69026829954357,37.987634675008515,39.302078377261374,38.60506317211178,35.84207125433374,36.08855379870399,32.27022812701978,31.931238099544515,26.84768158305194,27.814880320234153,24.452214011700658,21.361131332712237,24.389476712054687,21.35241860214497,22.187502919417636,22.88226876738966,21.906752046952352,25.547218674875353,24.077776182731718,27.861216493778038,26.796354261981016,32.86366345435741,32.99773433456474,30.94909454220996,28.87991330565763,24.683563398836,22.750635177280465,21.55617039339901,18.370413698370296,17.994053169204552,17.956035796651594,18.090093341910105,22.047261174295368,17.34980762329986,21.110327738324738,21.407491241635217,25.161871435933115,20.372194772681055,20.181686004207783,14.3815828334367,16.39848496510166,17.33191193027573,20.845643142161894,22.45822712068308,26.623429701493055,28.422333384825556,26.15870523966301,28.875154548294365,29.980297458134952,26.983675507705104,27.71652283979405,26.63695813088006,26.706524851628092,27.26164657800582,30.152419248553297,33.29950829633945,35.74732486015381,36.91882293270117,35.59097164995312,33.2425413313185,31.429469819138575,32.04645260351164,28.18504617769359,25.872317816414878,30.12640353125508,26.04629963928603,30.108888515511044,26.947650162587973,23.090457179678875,23.113165827975973,22.596580461558748,19.09346060503674,17.842045435463007,19.24790773588526,20.523381466129894,25.143251089219163,27.876484749189522,30.802680228882913,32.479616453755284,33.880469270765595,37.488968794621925,35.48739722653764,34.69117712004783,31.171296642032587,27.903708765694585,28.793936470720485,29.397196055339727,27.38248317853526,31.997246759885435,32.81725508807556,35.5707824644884,33.43303671095041,32.10717401659486,30.493093634976976,29.073151811200354,25.907334149332208,23.138729343801778,22.24979408472958,20.455596274931867,16.423321590721073,18.164050865212797,15.8661599325918,18.226691068688652,20.0897122555501,22.204770883196982,19.03626638352289,16.935439836454947,21.20735216466459,20.744045552546062,15.383829475357519,18.855398153409404,24.082326296886382,20.646791613180557,19.821547305624,23.586188890618946,24.65662653235681,21.685070215968913,22.9928679272952,19.80619384558614,25.116639653129926,19.459779665876805,20.22780045695338,24.408801917768656,26.308627633455227,30.89774392269455,30.4499944260072,31.56764775742871,29.51700515344605,31.759421856668837,29.949450372893573,31.862280221156787,30.103269051352544,24.64139295132699,26.864107563067165,27.98940340738364,23.560266828194976,21.859616965854965,24.179989524250782,22.251987810815148,18.409660150862074,18.236908071791586,17.348952342079446,21.82230831626768,25.08468641681864,26.248158642769997,29.659480350798713,33.38959856470623,32.14740157911763,27.42337141677105,30.00095252606011,32.498640385810305,28.444383445101256,26.782985345524438,30.90898282606623,30.843878167624403,27.04571571189801,30.177129663917558,32.7014474012727,30.24550930164411,28.85875574682895,31.637261823409546,28.64834343992871,30.06577109233928,28.251364210742647,29.770038633164436,28.853924159009267,23.716412882079613,24.82604032739656,25.230638474865266,22.67623746660271,19.5241080508211,23.59683935741801,22.243592199962393,17.221634572014366,17.57416351356293,21.607148885136557,19.88787491615721,16.022843446384844,13.02538569490681,15.408745639387648,13.386826976449367,16.95521917619063,13.641388408680884,14.42798532013566,15.317300281142993,12.438727393149614,9.933876093524633,8.411588467029555,7.573337398801637,11.597187694143171,11.796788264665107,14.429043351396393,14.654094939323311,17.413944057911017,21.79904077395549,24.272141145283292,26.362125036627152,21.854861285072108,23.425234112746743,27.13636268453624,24.658065525409476,21.8443952365657,24.85333652429536,28.823651016594194,30.71040405117659,31.9842534960264,33.74685397592306],[24.699809521068158,21.684902279310993,19.227076113839352,16.584929143647706,16.65623149394568,22.18519764367658,23.291296925208215,27.612373669946347,28.844955558834258,28.86973590661054,32.54336010380135,35.0922284209183,32.314924587500414,31.600020527708683,36.49415170453451,36.64868286039573,33.23173367952001,36.82620242996939,37.06881893268783,38.50897512999553,40.847259014602926,43.10113495336846,43.32328237310192,41.13458487880077,38.49426697444239,36.137875876872876,34.17804932809041,32.33132947452,35.13502595457284,36.18867462774005,41.449525414445326,40.58656514836228,44.99322672439201,47.63369170639443,44.02929865868341,41.21417002079994,39.66406956253468,37.693207365958166,35.527357495981136,38.85399586782774,36.157333158016655,38.928076013176806,42.44989919222013,40.513415691375954,41.923031962915296,40.09042862395305,43.756680824825956,43.55270343206968,38.82088964368009,41.46899250905547,44.26750662368928,44.10576562718819,46.62753819680877,42.01024969327791,47.149606208651704,50.14584523663386,46.85614795300627,47.48554316699496,52.08779395214168,51.40207636585016,48.32686824420499,51.618075080730264,51.02371469342187,52.131639343596,48.5220730565074,45.77789719078168,44.08412915812161,42.56992206615472,40.4493828499346,40.122673114760495,39.15908087583159,42.158233210638315,43.95130485200105,45.61938520476419,45.420142176158,51.260259995265606,48.40551652064897,51.946992089074215,49.56045278808205,48.88672168591796,46.83664110227052,44.143192238926616,42.731609237025566,41.30631404477787,38.066527036405546,38.94972564587875,41.40823363995128,43.94990008235547,44.1485581862115,48.894197121453566,47.369245813968156,51.12144072482593,48.67514922734105,47.37819232883741,42.92513268993199,44.66784653108023,40.56825787078264,41.99639330522692,39.51838952607548,41.31119208479555,40.653478358257736,38.47654422777474,38.57457204535914,35.25127754625494,35.18398679379757,30.175150145903963,31.62197308054016,28.44253084690082,25.357610535061127,28.05475430853738,24.65807247143677,24.93090287971354,24.97275653505788,23.53192746577303,26.45972497532602,24.537599188786995,28.15028545018915,26.549182232461412,32.41376357492272,32.98565621522095,30.60205422141539,28.781667624401845,24.2816915165827,22.89708744858874,22.255084621432946,19.72752372133983,20.408239581042423,20.68763281040818,21.465289492491788,25.563977011484326,21.221443772187307,25.218339055945357,25.059844689223706,28.77267458772279,23.558654814771526,22.91210088417056,17.23107046481727,18.127170593210263,18.037379974821174,21.73992679405832,22.205326683620417,26.441442807170258,28.522236353666127,26.70872749421737,29.767593212869183,31.092298546320094,28.095178426141096,29.254927768494298,28.703379274833473,28.654790055056456,29.824914585520727,32.33103140729221,35.96445961794096,38.05335143035805,38.97920809105844,37.88444637780718,35.284854564263064,33.95358021622663,34.14970712265308,30.833381587568446,28.11158151450941,31.927386326374794,27.47957772889657,31.83221843117717,28.659345987039824,24.274568401129265,25.02797972169959,24.031099199172942,21.064744593195016,19.472392667817505,21.473659235660996,22.403787327924363,27.361167783106257,30.26740922962505,33.185728258300266,35.16581653191495,36.13088074797541,40.16849015411225,37.98668785549202,37.55085779178554,33.77407027301031,30.92946039582743,31.98846736758136,32.48783840115544,30.144811324271117,34.25723857062599,34.59298422035344,37.36606720759812,34.84230761316394,33.990458754269426,32.49116601809026,31.50957932296312,28.60513916138089,26.18540293138467,25.720237686428213,24.249327041369167,20.374030385880925,22.52815226857072,20.46977637784061,22.671193736071242,24.735789044324115,26.652276772355595,23.28192927592836,21.373984139969544,25.605071707945847,24.76615194544158,19.187689322587563,22.837526625083957,27.996872427529897,23.962597747375927,23.015960643131628,26.852678147830396,27.641787171850286,24.122559256121686,25.51741782449394,22.51603477029347,28.147540881902483,22.46505767409864,23.829769273842157,28.03308215462257,30.18867875617675,34.54352002403219,34.40276188681045,35.83747841507707,33.97909484578968,36.34696226286537,34.63076634160947,36.52437926008901,34.6517631948668,29.283955594745642,31.550672916995453,32.5120968583504,28.04299728382372,26.470556187831928,28.665401427990506,26.46779274817437,22.751900626018706,22.618474464476094,22.019376416011006,26.41474476843233,29.752682784048595,30.93526518052702,34.29825560583271,38.00584720646245,36.64175685645076,31.95550986802521,34.49572145309125,36.84638597505319,32.645222740122776,31.032125715130945,34.99866288587798,34.7007196749693,30.84889243064496,34.14594839456131,36.44667366751712,33.617841682198225,32.41392055199928,35.362406213513786,32.51991501034812,34.240608724454866,32.63035587861347,34.24301341204357,33.049937699228394,27.91624051804883,29.3272617396214,29.525171651121823,26.806371771380878,23.968401861184912,27.95691502045424,26.163223786643197,21.264066813276177,21.926754458534255,25.586126786126737,23.416522318094636,19.601578849404017,16.4802709153167,18.02897392005219,15.385578735218475,19.35969845580735,15.925528947292186,17.63283279934812,18.00080698350616,14.314589607289953,12.761789220233105,11.470496623894602,11.606032404450726,15.961495219480165,15.833989955888946,18.722529215059105,18.192768930362288,20.989408356054263,25.43089058906352,28.020040573788357,29.578728072326125,24.90188194653988,26.619444057970206,30.069100905117665,27.125882308153002,24.174547211766285,27.507908913834978,31.31960087714041,33.18156156558263,34.482705818642025,36.22131574009134],[21.058841336357638,18.178077410494126,15.911713618899986,12.121651838353628,12.732200930122252,17.510396924248344,18.460653248818403,22.948680960688773,23.682542997129328,23.709654693801316,27.306546281385497,30.00806052343554,27.500767808002706,26.481264847575464,31.507366125817647,31.925894820583864,28.708762792281163,32.49933576176074,33.09598790668255,34.852998845989546,37.41519364278976,40.08413776392701,40.397753925423515,38.53272948222708,35.76612897006885,32.940051033858424,30.950864092990443,28.592091983854367,31.115003185149867,31.999059736242312,36.88728855033998,36.18922612040648,40.470807639334815,43.29281381672603,39.927635512515586,37.22512360330806,35.858881282022004,34.305484521969824,32.534812071301474,36.55247463947786,33.87073830974755,36.04918812922452,39.864484421259,38.35810952304213,39.950147231330845,38.564063970901024,42.35994362144516,41.8572664483108,37.433418568325436,40.54383606513081,42.925922097475656,42.765807575990635,44.97545458458799,40.020851917864796,44.926656201180904,48.086493677492705,44.62903282120874,44.76032938744221,49.48855557167335,49.11367910654105,45.591818263643,48.47415890936313,47.52918775944691,48.71367306043263,45.37719133208974,42.410257130720204,40.32976147837377,38.49068084722626,36.18577310043965,35.47668550608327,34.53050368673017,37.46598557322604,39.2768776155838,41.30694424596741,41.0389277480084,47.053712633530104,44.52227754456846,47.97583590761608,45.88332864790655,45.61602320580744,43.60950537813773,41.37474287179171,39.76042278114646,38.92551143126,35.699246235088225,35.9457441937987,38.233910043800066,40.45897785576744,40.451982339499935,44.898214100770055,43.12375958666545,46.69395136843042,44.04882947766569,42.648607527951334,38.09647401062671,39.6121767383188,35.432108533228714,37.150314107529915,34.689565042513095,36.61719431576032,36.298074045935905,34.490387958491546,34.85015429455251,31.891844540347183,32.59307363860206,27.528366360199747,29.581485921200862,26.97981053691941,23.558245361016866,25.526835334388167,21.56117603073116,21.538636867525064,20.73850073471327,19.422808643618122,21.902006539933073,20.224536125620894,23.987876305112483,22.776647387847913,28.574551165304065,28.673422708758608,26.081640526972414,23.98616433603932,19.614493931272452,18.056510311472486,17.239504712557547,15.524355909136343,16.4489424063742,17.521420033424665,19.09314659348825,23.684348407261684,20.314937364172163,24.745396496083657,24.788005743179383,27.724702356871326,22.52990941392879,20.85924160161488,15.744224330566134,15.606692999883256,14.87754651786341,18.800175390061284,19.54509416722436,24.20888626776095,25.558940990355993,23.574271461167694,26.83689391991776,27.541379160225166,24.402093563940216,25.258128764686028,24.837456556058015,24.279024210848686,25.77019577924604,27.769758548411076,31.762036968897306,33.483844378377064,34.22626330239461,33.41520209430873,30.777078871383235,29.90486922297897,30.037446357027253,27.38601905427324,25.001175743666103,28.652192441764424,24.697676155905008,29.340960412572965,27.040195683330687,22.979661151919966,24.46506272741941,24.252283018241215,21.465954607208435,18.92877935044661,20.636192072331205,20.57925751469957,25.484618271384356,28.035228522502734,30.51857886233719,32.288536498837914,32.66878391729859,37.10301997870139,35.3213652380993,35.171538165754946,31.884454633501253,28.792729347872914,30.815624638899187,31.857320669913722,29.265979257165366,33.04990025558126,32.894421328688786,36.30807181460093,34.11600483273834,33.70317963499007,32.67864985533356,31.468489046236552,29.07147284957862,26.63146129053167,26.367571302836158,25.421169625859825,21.023171056001132,23.120228240864776,20.885940326992756,21.9464820288511,24.609660358772057,25.57139389997638,21.759902473141377,20.794026653533457,24.929656827869128,23.069664719295556,17.770765211133032,22.107270815364163,26.61742970858318,21.823398240181668,21.473995396908595,25.454266411876727,25.316915877217344,21.734700842915455,24.07676220241289,21.568811071563033,27.514502736806218,23.179481660160963,24.110659101309317,28.253385151754504,31.195796718767163,35.61100355441835,35.790446255557306,36.73328368052213,34.90333477935205,37.221948588165446,35.058587012554554,37.6073248515068,36.11249477173415,30.27598596843277,32.54728770825412,34.3706080630289,29.993471346223274,27.96762740322482,30.433956629054688,29.13497148320024,25.16091032885965,24.42885896551941,23.05689548629066,26.691260228889053,30.186416700649268,30.93566959327918,33.8676257387639,37.4006262431406,35.49521628471713,31.02402435205423,33.55208683498461,35.28807997883674,30.757749111489947,29.561555830994084,33.224499512984536,32.44788745192239,28.78876962812524,32.65966774144363,34.51780532355421,31.237844726344775,30.791371275392596,34.13329940072892,31.68166343798487,33.669609034629836,32.032488428266795,34.321051829526134,33.16100757667522,27.651317771819805,29.63858614551397,30.408598536000955,27.480824900093094,24.746427379036525,29.5726861454946,28.056676013707456,22.79302866942672,23.88778748063574,28.192475478329833,26.1836855711042,22.14543823161697,18.270829628286997,20.98609057139379,17.75646773561725,20.847854531247673,16.27310543184236,17.300957427700393,16.135185667063755,13.072131829452658,12.22071050375091,12.659257406777247,12.51627647877202,16.338273579485307,14.45743568759913,17.678885609043007,15.761242454894246,18.37312003594165,22.63208086528328,25.403313606496628,26.106949327448294,21.397466010162805,23.537091997795617,26.497230398669586,22.94463768275311,20.283455036355768,24.17781223055255,27.77217004500591,29.597737515561644,30.948996179894692,32.77005837070293],[19.9880035236323,17.658920750291717,16.682616439508642,12.55977721065068,15.062647801723319,18.725787165199247,20.193703350729372,24.740310637980045,24.897281849898537,25.22620163436827,28.598691132090874,31.477631588916868,29.539179516816244,27.98652315790766,33.17326997082866,34.00851538418321,30.997158848961195,34.83562713548976,35.46254671496677,37.64890862080085,40.15777380746375,43.139736026160726,43.28981646305834,41.47245591854308,38.87805770106124,35.7788745139288,34.042010298598576,31.45619438323403,33.86090412620588,34.68966471753933,39.0659658597959,38.64094672835225,42.73883688870302,45.728638287479185,42.630073352261846,39.99243899339766,38.866986702190445,37.53821827729098,36.00968789202136,40.37500770331098,37.549696871266526,39.364464651707735,43.34412363959762,41.94523450132597,43.41163901977509,42.088561565535265,45.93582404315636,45.554534318492394,41.25796635673013,44.54243904606111,46.91722971389254,46.83418999929664,48.95978336491627,43.9051095188991,48.76013677578705,51.886829386745184,48.284856777449704,48.27382356951835,53.03455194729515,52.66802659499952,48.90065991567077,51.54675016449084,50.44067669580864,51.47244183581869,48.32281997577216,45.36803382983881,42.82080538130078,40.8870024256386,38.18323709965902,37.21551574707586,36.06028572827591,38.68384745771312,40.82474220050638,43.18255209706663,43.14227638528527,49.30742586960127,47.1642455718937,50.618383973780304,48.81241471903317,48.83093283539658,46.95100711454033,45.00029974739421,43.319540191363835,42.78916685298945,39.57237585149604,39.49547292974846,41.598040928157914,43.66185462055195,43.40101193171063,47.628550295279574,45.56067550393067,48.86140107864456,46.046818011471025,44.601013014434315,39.95683969089769,41.09214518703399,36.80638631860164,39.01189186236805,36.548475996724164,38.42734682660805,38.708086680960164,37.081399986623694,37.848919060550095,35.02249806126199,36.21831683276626,31.0778699215472,33.19350340545122,30.781515626552252,27.085460499126757,28.835052983243045,24.585057127212757,24.813928081484942,23.4044719007345,22.423835612852862,24.370741810757025,22.861507341999136,26.55753889849192,25.381504757131157,30.85863486416213,30.859795942898177,27.945413935013644,25.775600235478798,21.523598284758684,20.135644019093732,19.231742736094247,18.573729083763364,19.227150784061823,21.02426195359622,22.79838335514241,27.603332499197506,24.41368342714727,28.821257347024577,29.115483571699343,31.909911191501443,26.842002345864657,24.959725351081477,20.03839587424665,19.654674974881,18.52616592961197,22.44341815190814,22.808082880065864,27.52630916540324,28.70827217007366,26.889404212455005,30.301479303984,30.73370283551515,27.56556155085213,28.24175265049278,27.90226718470474,26.79117859908641,28.295581807155752,29.63641573174994,33.76884311442727,34.753450505257355,35.70527725115574,35.429910408440875,32.97113900578671,32.498622153937944,32.78092432355699,30.628646603534808,28.6070657640046,32.11058390767524,28.407486655589427,33.164422308172696,31.165775006945616,27.103401400075768,28.840881028687075,28.589389999607203,25.913609809301494,23.295278737363944,25.035693610157452,24.754033022541897,29.61960238617273,32.03167353970858,34.30242208742051,35.914195935023656,35.95953669917358,40.57502215363398,39.06505104935573,39.02302988220807,35.97816275627943,32.75797319518777,35.076016130758646,36.243706062627666,33.63088310722941,37.30876415088126,36.95648522394224,40.513284433893226,38.26470216891761,38.03191466850042,37.070768313624434,35.891963114327964,33.549207261602,31.1053004853545,30.78249216265215,29.707950905515098,25.27958067718262,27.119780369103758,24.512106100051675,25.45209035952458,27.702226094153723,28.471122920688856,24.689676181959978,23.416769166239952,27.238778176595705,25.116898605274443,19.590016859738302,23.698183428776456,28.06925748389031,22.7964863245283,22.085712619368685,25.93113119252088,25.6566994676363,21.53906359063968,23.683654705077018,21.48924513459916,27.549788955142162,23.47473214151535,25.009767059749823,29.040484256416367,32.38885737420313,36.43483910403101,37.12600907347691,38.46436137222427,37.05975773106037,39.688129415101194,37.83331183956251,40.54883351625942,38.74903286520755,33.049857055804644,35.70428293268364,37.46112999464395,32.90757214912122,31.213759965781282,33.98067449233939,32.31513146860728,28.20986474661865,28.179509436015444,26.378343586266936,30.354207288155532,33.66109260225196,33.983211906814496,37.012372662322115,40.229172852170954,38.50409485393987,34.048526766587884,36.05079003913899,37.75834748301567,33.25270989422785,31.740614943720313,35.04091075205181,34.07000829922958,30.274602388828733,34.05801982421992,35.623901044182446,31.987781134226218,31.56012030898484,34.98881359444713,32.76223717296388,35.19602504219053,34.035693507854205,36.40509709495627,34.69653022823295,29.33089815322178,31.86987204550539,32.258634686199144,29.068347302158305,26.987397255416116,31.807711093391568,29.662191892870002,24.562854697691385,26.369810111936246,30.303160855178387,27.726283867529823,23.731460266171094,19.56294050841293,21.801189782126052,17.92852241772688,20.85180324367385,16.222545061406375,18.08368923371215,16.58169412699647,12.911233601389748,13.2057641908627,13.917026737643402,14.849472299267392,18.808233975601684,17.385289330436844,21.083636833681403,19.09950173065868,20.738781831276047,25.113340980824958,27.54941902983224,28.060233098839635,23.239969526567606,24.851070452066377,27.603365898327738,24.199811639520185,20.936456298615926,24.619579928419316,27.942617978451167,29.74362518223019,31.153079020774044,32.88971972641895],[17.35852786102231,15.011836118644945,13.831064685354017,8.861967654058242,11.476134159924415,14.340775547073179,15.601475997424567,20.15802824041675,20.10443406474054,20.52583383162823,23.87885735802516,26.707770484579754,24.987268780354878,23.46692392227561,28.663548235230273,29.556576830336244,26.822728610144676,30.856278338413365,31.950108891813024,34.145882816383825,36.9290676560857,40.08482483697656,40.46458731509677,38.979139258323926,36.17630031650259,32.84003607445267,30.906436908979348,27.942165160253857,29.9722282160602,30.510860535253084,34.746246466661944,34.22151907149211,38.22866575711506,41.37506941556386,38.41431445213407,35.97169438601312,34.8201740086813,33.94816764060029,32.72267595397168,37.41878399953151,34.85684921825007,36.30954788689895,40.38986482420438,39.38827097054171,41.123546017683026,40.201094513886495,44.06537526192396,43.302963916827,39.25827243461877,42.752741451997565,44.70529532655255,44.52052700858952,46.389593138271096,41.1751020679261,45.7218604787094,49.0474112325865,45.47508949040804,45.03556926871591,49.845590406474365,49.83630299076364,45.85561863179646,48.212609099047064,46.833438344061626,48.09030746727345,45.14051739588545,41.945491192194616,39.35347585989862,37.10390467948185,34.51294589262033,33.21011027474254,32.25221431492269,34.957937004106384,36.87201572249008,39.46542767121671,39.14899054440192,45.35726851634418,43.33601633756226,46.614588328519,44.945902526880616,45.21025915163972,43.236967624207374,41.5867686453981,39.66603462001618,39.53288666130616,36.44470592080566,35.95531003040916,38.0537876698467,39.77625206323965,39.567156389756605,43.50342033306513,41.41203682444697,44.664276029447514,41.715975728456485,40.12015727694591,35.43618219516144,36.49306678003852,32.18798702182961,34.35519622054002,31.84836341825492,33.717848322690116,34.17868508179704,32.7058112562168,33.66202588209623,31.044779602421745,32.728295146333316,27.644186090114882,30.108251378651733,28.162457532759564,24.357891392265223,25.53195181511708,21.030902796806554,21.07345860339729,19.142453548516258,18.42012287897588,20.155400943878558,19.062910995872365,22.877020907787877,22.269067842800805,27.68936952186676,27.13043553663355,24.233401848658296,21.747291532058316,17.8058451813078,16.03856824993915,14.755606157268678,14.721196566201877,15.303142461591019,17.637142463400156,19.863586115858133,24.817572417331757,22.447745053763924,26.974553453753042,27.44270764366049,29.592270702784408,24.76768240175883,22.27862052421724,18.04240330753914,17.12514887043809,15.843979080342743,19.670812964394294,20.657101790120873,25.520780716778983,26.011248923712788,23.929814888328245,27.29788340206242,27.163935559381688,23.944153304705875,24.221325478915787,23.845244097626452,22.378088488441474,23.997219856480278,25.04395780547389,29.332056646238733,30.205155130118765,31.003294070331695,30.825870324325816,28.383423426603205,28.143698723276493,28.4530403410932,26.712809932327453,25.090327395002628,28.511042212123876,25.383934925047818,30.167216043264215,28.868157221341683,25.312699604067895,27.318136471497105,27.755523436938144,25.151696091993557,22.064317484798764,23.37400063332634,22.45858441814953,27.030484798442505,29.06974809583263,30.96787684826932,32.32364053424702,32.037104248363605,36.78752927460568,35.629101740575365,35.714956508751946,33.139433795710985,29.70890458035867,32.65497217033087,34.21546435696015,31.54778986771148,35.03422583745555,34.46565456059745,38.430886311129946,36.579024743172134,36.51967077407807,35.88173312955211,34.44679166518928,32.456360762036276,29.986123322153343,29.747021224332308,29.04297611081591,24.38327059222246,26.104728814547727,23.52772968965897,23.6011942690329,26.30195350299389,26.353655285775627,22.370616759010378,21.98172574267856,25.65811901553714,22.87100966282539,17.951182615596036,22.470858385861767,26.183855510278942,20.637745221477996,20.630381467927588,24.49583508583144,23.472550134599675,19.683493534774126,22.695183151507063,20.891235959331407,26.921390688841658,23.99638027222993,24.833948116363537,28.728502761219946,32.443680120239705,36.630303231071835,37.32941203564188,38.07885013815405,36.54857518246777,38.97885159056782,36.69707565114451,39.82723138016688,38.45461661748575,32.45050793886659,34.9324767847995,37.3447018204887,32.99753375511054,30.89497927597941,33.727222977687866,32.875167833659376,28.704808948695554,28.054166981400538,25.840448325323642,29.04251581632557,32.41911254568237,32.510223583012554,35.11381783013722,38.22400290024185,36.05879867524847,31.859045833856907,33.95557208535568,35.151686078045834,30.469484149784243,29.421721224832172,32.52070689978041,31.24252899205169,27.740616548083825,31.94828484721441,33.22898701795096,29.423666035733174,29.644146674560407,33.295000487397274,31.34835801849337,33.766659620185216,32.42765409186572,35.26070822106,33.82905674313527,28.23655603824815,30.95751265327065,31.935982932037444,28.771787622255765,26.58058084003232,31.913755634025197,30.29605912323558,25.002377296685797,26.784672806879815,31.248714788230995,29.102944231374963,25.03494616842823,20.635273845151545,23.8474009859498,20.070993913917626,22.25927226100584,17.059467043799614,17.84038547218525,15.269909443185364,12.824139755547167,13.220125561364618,15.017879150804573,15.258131656510763,18.435647089372345,15.685160834316578,19.25060795730687,16.35614788359894,17.862697875480322,21.84599180315154,24.424649055253553,24.269488883593173,19.59713965057505,21.66295649161155,23.983714870169308,20.089417892053707,17.34673573720479,21.511567160013286,24.67627595313813,26.44292493175065,27.86804952402963,29.689243015316915],[23.889500153020713,21.438766684924136,19.501108608505906,14.548907472304117,15.002439681744047,18.413202600962713,18.165915819349806,22.65486903401093,22.23761195958317,21.158815211426788,24.450704148987604,27.81067194751571,24.831163506745842,22.92746793705503,27.938903563942052,28.71035749194463,25.08349005145431,28.447809030142697,28.43971246584604,30.781225096843215,32.97000735356173,35.99320049565894,35.90956690579092,34.020258902375595,31.61106928545412,28.482304146659246,27.092450950193353,24.764269573379003,27.618844861223035,29.124574743043713,33.28881197175678,33.54852836013306,37.70694064645963,40.160685344591236,37.003729819628276,33.93773012505026,33.35988174548125,31.298401565972693,29.734490990192647,34.34820082570257,30.966094252852592,32.505107041483384,36.572949968174356,35.08161738714501,36.29996438500817,35.03946203989537,38.931525954595706,38.715954218532524,34.62827280147252,38.20696775336034,40.59412693274551,40.791657115006586,42.83021299455269,37.696316947445055,42.74943973501165,45.510686696983356,41.6183812908909,41.78914604111122,46.50871394437221,45.83171904183097,41.935053331746225,44.584216758728196,43.66040892582291,44.34454669697135,41.154612072348286,38.449941676983435,35.72554834963788,34.13420936180204,31.27067217839252,30.780335425881244,29.42970190855673,32.09802644739467,34.337715743615284,36.30552784572102,36.61239787038818,42.694082301544384,40.529717289107175,44.2589330772054,42.48102141103583,42.4350929134,41.03304483264351,39.16188690929095,38.1088392520562,37.64150781493665,34.107583458618315,33.89065395188166,35.42956743830536,37.957956221605514,37.09919987604148,41.67254708189164,39.41133749885961,42.663872146415784,40.142285362371204,39.13719382361987,34.67016335503784,36.06505007339756,31.942714346093663,34.42550999670656,32.480010508634756,35.283851734834016,34.62321941689217,33.92453729635382,33.76595037171467,31.85276424709172,32.91021697831387,28.30121680215861,31.205724007546483,29.13979895632535,26.07626181725356,27.268769497229776,23.16462254367951,21.841970015975313,20.213082690697348,17.99305785722846,19.081196984196257,16.76378181911386,20.016669979383668,18.239704534143026,23.572692233144657,24.117342259427566,21.22387969238252,19.584351789234915,14.99229053460461,14.438519816988864,14.883769528651085,14.242062871051091,17.285687428477708,18.292192344750262,20.763934844372184,25.0887743493457,22.813342972844172,27.441040493057184,26.77618630987011,29.172970161663848,23.68496370775589,21.176312126935315,17.12597498146033,15.07897400338348,12.753254851307585,16.408071915283,15.739705496352492,20.390960981581717,21.59227713307617,20.208182756707384,23.78683418471458,24.579140559379233,21.610011564581455,23.0761195465673,23.596718665777846,23.149255527000527,25.731490134897147,27.31185231671413,31.907015069358685,33.51132968162253,33.434895359862374,32.65525934456615,29.529697276332055,29.394700118503323,28.614376268083383,26.955431633797772,23.972280149987633,26.671302702267024,22.55305478088022,27.40837340376452,25.606135659520056,21.385201863984232,24.054862273801646,23.855081744749707,22.017065992451972,18.754639918136238,20.791377700732948,19.795628057803007,24.69718433631178,27.201581397233273,29.42485631501915,31.57244887266188,31.19624039752183,36.17003442203062,34.19465683796331,34.67943808934393,31.270117638395618,28.92903027184568,31.39730721408201,32.48032075630186,29.433145551255205,32.21169402506914,31.200595509933105,34.85708281277869,32.50051722000965,32.92199604283682,32.394700282646454,31.60271726994431,29.96138406187671,28.066971828694243,28.494847267144895,28.38696170232808,24.151780207924478,26.80407769590417,25.243241114704468,25.69641637339654,29.149649543430915,29.566776448612707,25.533406380121306,25.621782875053025,29.732520978795606,27.31602939610685,22.65565753825095,27.33347000979778,31.278072681706448,26.190748248183088,26.415872835504192,30.381787864680593,29.48612366561202,26.015647678877688,29.024123946934058,26.927775651677038,32.92248951586299,29.275989154020188,29.987652995812,34.04912355021971,37.20401054453348,41.666713437509614,41.851948662621695,42.45456799509766,40.45435633858062,42.52656241200551,39.93379135545686,42.61318777417087,41.544596406217096,35.51739147572432,37.39252512497386,39.546783731952424,35.41870855319861,32.988641022740296,35.102639169262936,34.387738145844715,30.600256448378552,28.918027963428358,27.975078075825774,30.676727087378417,34.42479954535613,35.399157770435096,37.840268025610634,41.48609511669664,38.96138970137675,34.80566847982563,37.75061484400786,38.90423385220745,34.150466365915506,33.65793636880597,37.157022048911976,36.02218939647463,32.753610091995455,37.080375403197486,38.604680077067,35.07506329231387,35.344949684045325,38.91124037510161,36.73784755131592,38.71759339161425,36.86577357920945,39.495794754056135,38.631658958667025,32.959797991471426,34.948882229609886,36.16303236287295,33.29682813616931,30.373090911620654,35.400667123529786,34.23827828442336,28.903193090671202,29.736405423696585,34.27466410985084,32.504444077327754,28.46672060298161,24.60483880644705,27.397311262018142,24.118584395738857,27.12866087621461,22.324283272630716,23.091015279631478,21.11954164072556,18.581047090151145,18.109081990722455,18.971902394096315,18.508233038098453,21.954868329527233,18.941360459997234,21.607084598441144,18.55225006633506,21.77719557376274,25.3686199537618,28.50892964667408,28.115581236879258,23.741004381369155,26.67908984102717,28.907665998604415,24.42671238353627,22.744425330329776,27.2445298374294,30.440204083865567,32.12272299029386,33.41655462458091,35.2517920476589],[24.745359692171345,22.83544140066563,21.771585930999287,16.402967707603363,17.93145619304972,20.138009203621124,19.873929329297596,24.277606682527864,22.989447468439703,21.74997677558969,24.632798652589432,28.34748680774475,25.724891893486102,23.04028472248146,28.077475792757276,29.345244449025984,25.824040740225417,28.987052650799278,28.774984019646197,31.691878546910907,33.65383200163545,37.0510644629407,36.67756430080351,34.86673389224337,32.78375179557824,29.349958965942978,28.44540142215046,25.975446852731352,28.762049303934045,30.41291655452676,33.77866008462064,34.641718969990535,38.543792577605366,40.96903333686602,38.15610917150164,35.05465440995787,34.98294226116462,32.97637953223611,31.733352590923964,36.768564364345345,33.10044884052502,34.05396283853649,38.287811273963854,36.934443937530745,37.895736596424776,36.77299988837241,40.68051455985763,40.66006885225211,36.881181717332794,40.71245586083906,43.047032080557116,43.42383711709882,45.30159535218769,40.08452956778617,45.07655985736939,47.64585547198982,43.521574886659074,43.57287805440054,48.26763466215246,47.50441449815203,43.297119890660106,45.61739604303313,44.56479313646173,44.91952866714061,41.991475547886076,39.425645257009286,36.06856323155467,34.50796997071242,31.098809478268283,30.463672289614756,28.766584348913003,30.98625174823542,33.693474153372044,35.91509975701096,36.65961134999001,42.84134157455848,41.182472829053026,44.97784496889884,43.586280088755984,43.8715884716692,42.81162229168683,41.33436339243089,40.42726030368989,40.34597668414453,36.76927608550791,36.12312809870217,37.22204085157441,39.681698883539944,38.30601683759964,42.68095373599029,40.00404422883806,42.863341857147006,40.26860917489018,39.39397363087339,34.932472858952146,35.93279767789665,31.79443747488024,34.975886734477314,33.259377866614564,36.33170901282831,36.02998776704495,35.887455403891494,35.87288808096221,34.43920542935106,35.98182719042126,31.50171501679228,34.678580661769836,32.91484178701052,29.76019786422221,30.578625693964778,26.270424213063094,24.799383899070037,22.500588763475786,20.361234439857217,20.488691655501718,18.221405501103533,21.063972024307926,19.205695247790647,23.819335186242082,24.424102027292214,21.177444437087438,19.715143988434033,15.388107357823607,15.448495465150868,16.24793434371874,16.88660114552737,20.12159760279975,21.622583933424043,24.405028702647076,28.778675093409895,26.908964061040688,31.560847679067265,30.91571689286172,33.0487685979178,27.634749251467216,24.80008914897465,21.205953872132323,18.683255815021813,15.839197051122579,19.164610340305146,17.799840858747643,22.242880062176564,23.154533101658743,22.177170162136772,25.856912276881655,26.397814347294094,23.556195807746285,25.01309448330435,25.890497292165428,25.039765955410964,27.938741606017377,28.842626669916193,33.699302708383804,34.69097418047052,34.454205381134074,34.11256594876952,30.993249470266647,31.43720061119737,30.475290400663063,29.5758218548702,26.768787219759286,28.988281048650606,25.161166611966934,30.044595329240217,28.709942864100103,24.57792372325015,27.692505024507998,27.4926007791173,25.999062279719627,22.59028748183717,24.652984887071813,23.27340656393507,28.001147240080776,30.314271836214694,32.23954276284587,34.33974620054279,33.448332467175334,38.68530801344215,36.8940603038707,37.66301539224252,34.460802464851795,32.26337599168315,35.07168531757414,36.26294835419535,33.105569265979426,35.46987771904648,34.05036313768072,37.84853022221643,35.448963550884756,36.26838952116309,35.95831008287954,35.31211831912889,33.94148194392657,32.192275335145524,32.743260773455994,32.751010294438004,28.509551895680012,31.11523748586953,29.445947888588318,29.67380237387105,33.080788437599836,33.224149743826935,29.137656273384692,29.305345651868986,33.244069449244925,30.496781386932536,25.85739222331522,30.522494529937358,34.22258518733246,28.75999367231327,28.955496316720982,32.8303491590322,31.599967897103948,27.884176623664388,30.989463309858653,29.217970627295813,35.27506522245685,32.01300944377552,32.988190753546725,36.96991351382326,40.44984541715232,44.71681318800015,45.224476082623156,45.95692977892964,44.159510367250626,46.35999715314309,43.81800414615852,46.66651287676419,45.53003147044119,39.49020306982808,41.51031942196991,43.74293902867782,39.54583352971535,37.190250726315384,39.42391667233827,38.64168275361154,34.781244124111915,33.283360595955585,32.146277765660486,34.85023591554137,38.56083251956671,39.31410335667835,41.681653869366905,45.155234306721574,42.5523316162189,38.50144086974679,41.22684907989838,42.173785858260054,37.36627518758935,36.88588004871037,40.09636397229163,38.7164853570075,35.49586279677645,39.91364998834888,41.13535314664056,37.299761903174904,37.83122779460663,41.52506362219998,39.58732996076712,41.84439880723786,40.220832045738085,43.02279900096432,41.90609776904026,36.25081405851483,38.59215889242952,39.71706128660449,36.695442932013954,34.087353205231345,39.21582786291231,37.77742122647009,32.47155619951415,33.661843900502895,38.096297631997935,36.05136605024014,31.998079272709642,27.931562819871257,30.533414133579818,26.891905584679648,29.779252838840545,24.874405347179458,25.976341761756448,23.595006077446275,20.9288748543703,21.087372368373003,22.202841150608542,22.191029978207915,25.69739078100801,22.65906713943778,25.53581118251613,22.198984518782254,24.927516205313783,28.38956223641267,31.403356515134494,30.52926613787383,26.235384051504823,29.057843847070103,30.88422838531937,26.240595031480407,24.528392767668848,29.054720394893845,31.89314326338344,33.480232741513824,34.777555241511266,36.54762024880047],[28.575576604988612,26.670509898587984,25.490453817167683,20.166943222472064,21.26362041292446,23.607164984445635,22.948022523397764,27.22769022633941,25.755385729291625,23.95375322677679,26.643762430503042,30.55530755862005,27.505377921513837,24.578655223743393,29.373997295670737,30.65289135208106,26.789731462552208,29.44423385196183,28.513737756546266,31.59845987251749,33.084101924599835,36.42271766015019,35.67108593489819,33.61420529471684,31.934324888233974,28.64683034919018,28.245140743775043,26.21770339759164,29.38768425689638,31.543758696714182,34.64541033161111,36.01353911650031,39.882637529253586,41.91776919071639,39.10641538887236,35.71451732691683,36.03929793340058,33.43386870269239,32.07550198313123,37.014987207061175,32.87748281688817,33.76831425600941,37.94649619545776,36.31898465653594,36.86295535433717,35.53105221594711,39.40766913553208,39.81046039167746,36.099986297928275,39.95925162808141,42.55858345359854,43.18319011244474,45.12899869279865,40.02858525337826,45.250609352250336,47.4216517993577,43.11373216012764,43.52661674145438,48.107907427952554,46.919241529381054,42.75713969988555,45.17084046054315,44.3835405880459,44.302444616038024,41.31331272092626,39.125698794023265,35.58449621850117,34.471646858888676,30.813404971105587,30.65205305517079,28.652840223424157,30.653113592646676,33.65809548368269,35.528868044798,36.76324641797343,42.80844545588037,41.2077436309923,45.234485072295975,43.87622194106978,44.04033883981513,43.37524175490266,41.85051511800852,41.44385314540407,41.22671557689411,37.46161416328587,36.92669939008798,37.634104501869146,40.49055160566865,38.68601212755311,43.31689325484587,40.49512206279627,43.227303817060346,40.88533776328821,40.36823872880513,36.088682477282205,37.15384357630974,33.178203540585116,36.60133450244516,35.212027755419285,38.68482852480019,37.956096053718625,38.21689957216147,37.73696711913668,36.669466154513174,37.951112199955105,33.73246825597981,37.03323688009169,35.223407112016034,32.37928922401893,33.224402532138306,29.113108630025575,27.196973840938753,25.04158714600559,22.40090948098148,22.11867523519226,19.368681931649977,21.652771539422933,19.13970157705334,23.27675355781683,24.60058693736566,21.389251428345467,20.556876647022797,16.213009951704457,17.06589839914195,18.61475696003954,19.098988133454746,23.047825371658263,24.063321937717756,26.84313503272469,30.88646541191752,29.030637759543637,33.62870192029343,32.516542908487345,34.76772687302731,29.16113780462334,26.43263136551971,23.017551254087948,20.16260857231687,16.987642911199465,19.927390797769906,17.465518801421226,21.445538243755244,22.775455885999808,22.38445658363087,26.06373560745225,27.08754180054212,24.504043964691917,26.512243266664132,27.81288413594202,27.36910754752651,30.600206541851644,31.628964986458616,36.560607222247036,37.7327847419975,37.16868320250546,36.65392792521602,33.30572195328039,33.84669749932123,32.42624005616495,31.64885024686874,28.31596740985612,30.073930610449036,25.865328035081074,30.643348663277827,29.09478293849874,24.697249529564413,28.103110191883303,27.47622813416949,26.480646026768323,23.15863880293419,25.553909049641184,24.204857110857645,28.93662838495588,31.419618920506764,33.44753228861529,35.892097230326954,34.926992945196176,40.21314425479667,38.061343187322,39.03618510288472,35.47763184993176,33.86104977822808,36.381788959134646,37.30064001413577,34.01122461712314,35.9405291043911,34.27098614318961,37.814225995757376,35.10465900820945,36.22245868620169,35.97551167456799,35.72875506564332,34.55525324605032,33.140850314828704,33.983856121968195,34.20899032876762,30.255500745247193,33.18724861002265,31.896930305125554,32.345300256538536,35.923262156342645,36.25474841609445,32.192017650888545,32.40895329920107,36.47845517585065,33.90488807930435,29.273690094727037,33.93492858569943,37.76906651547752,32.436652854901524,32.61435999576013,36.51880504418394,35.3842645404909,31.685950263898732,34.708761148711744,32.826376086536776,38.89025353541877,35.29028676110045,36.34116265381705,40.38622391900089,43.658250791565536,47.98882982644733,48.33440117257274,49.10656584367865,47.189551961593246,49.29656848055315,46.71237269230745,49.34190901005262,48.25543482496535,42.27386654064879,44.099146221449104,46.13404219360192,42.00626815681124,39.612616472226875,41.56033176309701,40.70476865172009,37.02721029605007,35.26774002148506,34.65350620408774,37.25641640904373,41.062166959506925,42.14770216428461,44.49283418311015,48.14979862161213,45.46989890281817,41.43264036752813,44.41627643105846,45.388549883512624,40.57967501654577,40.23354619665721,43.572832415678384,42.25289375355774,39.077385365300096,43.494466284028874,44.803085850371794,41.041151536374194,41.5350447834921,45.19153321000289,43.16578752049157,45.3081244109498,43.557068924516024,46.24123068730337,45.25896514796455,39.61192586932305,41.71413415869752,42.827953750438134,39.89420782592665,37.09247127899816,42.03287125365774,40.65397798732754,35.39123601375703,36.288057605734856,40.63180222745247,38.63762898792551,34.63548661590967,30.79261513964529,33.07622054170464,29.59213727836332,32.805319735578784,28.11301480788537,29.36089056610109,27.228496929432314,24.3981716056985,24.361888128427818,25.108491292217984,25.00570236278219,28.655595672602207,25.722831288443878,28.329374007513376,25.073318865327767,28.25983032404544,31.625405749017276,34.78097964270885,33.855608113363175,29.654855598789638,32.68162662672954,34.49554478211049,29.713755703722942,28.241327686214444,32.809102453668054,35.651586919180225,37.2259140017244,38.491725643123104,40.23972300797391],[27.404581170251326,25.849178542494926,24.972452193995483,19.43284676947128,20.70298635440108,21.714208615718757,20.655294560061204,24.62439585802678,22.430792894539227,20.407577355844257,22.710803707112394,26.79625877437,24.093084401268523,20.669959350604525,25.420497879076954,27.057499539234815,23.505601165758538,26.185889852965236,25.610888976860924,29.05521428430873,30.716833760275552,34.45116080075849,33.814179124119,32.19038093039506,30.43958373250498,26.717444092701594,26.366153651274068,23.859847192629395,26.601808946017893,28.581132783605586,31.033182233171402,32.69869298975145,36.3094603354674,38.44871183570594,35.977106557792155,32.75771235209965,33.362063857968735,31.235153954492915,30.371576962442877,35.82565723562668,31.851141217698927,32.06336685857653,36.423851880036764,35.29863489376833,36.02739461155732,35.211626393522835,39.08971358666385,39.14804139234726,35.859623583789066,40.02199948893846,42.13409553272787,42.72276051410867,44.328090643910365,39.04355563615211,43.893913759847976,46.186076738042004,41.81565117867975,41.70996797850509,46.32381620267713,45.48040423674723,40.945656002311864,42.87729161725447,41.72574574650693,41.72686552211313,39.08632016856202,36.70269929370711,32.76102136039946,31.316457785427165,27.434540792245166,26.826112351626314,24.80116072335352,26.63586916802784,29.704787994671076,31.992882544697963,33.19730744050539,39.35765466902848,38.170191704153446,42.052426806158515,41.0476953808585,41.64318227251009,41.062242971619334,40.049510727970144,39.48465409875524,39.84510893452568,36.214943724896905,35.06414863974415,35.52427566337877,37.9912013911159,35.955176783732554,40.17594198926091,37.09548119033987,39.55590066783246,37.03709296919686,36.46308326702917,32.16787120576587,32.932388019749325,28.954214624520088,32.772379033863665,31.539896929184113,35.18910920603255,34.76504153445596,35.526685266052105,35.2440610375871,34.678381194561005,36.599132045390284,32.582811872082914,36.24666764493604,34.98429914186507,32.091118163567735,32.29219349750837,28.04324331400681,25.862330879619847,23.011186746217483,20.56956217129949,19.393910859418757,17.029756810283935,19.06983242987828,17.112233137676043,20.701193135209163,21.440738426475313,18.00256686914247,17.01505701786176,13.199773313872114,14.289909398347204,16.000121846652075,17.737582414609438,21.843521921506063,23.329911556434887,26.516714305853576,30.55938457818414,29.567043443809386,34.17741324379933,33.25955061531053,34.83231603024815,29.562312970898905,26.24002092437011,23.655850156582623,20.245933378183306,16.768677468432937,19.338953740638548,17.232969372041985,21.194611595601728,21.54927593157527,21.105636447423077,24.74561375211875,25.046559390450494,22.538285132389454,24.192055495305464,25.718152542113422,24.83253047994091,28.347166093184477,28.75394346159021,33.856834532447174,34.6247037610085,33.76853024057667,33.550269387315645,30.228435616709184,31.313733057977558,29.755079366643933,29.802301791235635,26.92708291179919,28.277721804329936,24.829684068120006,29.581490810869067,28.949916902014934,25.177539001209816,28.922862460652354,28.972200973014022,28.108583433147697,24.40511843662211,26.35700910998449,24.311669863901294,28.604352254712285,30.624211137001485,32.130318414387794,34.29534509395659,32.75594088889898,38.24995268388177,36.53171634687401,37.764209334175845,34.77988836657853,33.06996716868306,36.26512123961192,37.577755365503975,34.24185128046882,35.82480261392697,33.77978881238898,37.77540150473718,35.496754203151646,36.91083180176423,37.045814138394654,36.578246310318356,35.80389632906405,34.38977509597587,35.29349090154119,35.806436014189806,31.68460943603755,34.425831207588146,33.08933201098069,32.83144737459096,36.62275213245264,36.3267730255874,32.20425178398223,33.046108323283676,36.85374155444864,33.75829150317586,29.683733994728726,34.46053645134258,37.66822591331048,32.15656766973362,32.76447700256207,36.538165324905094,34.79735899934746,31.341536562536202,34.855851400364976,33.39040682460084,39.34859706750074,36.69084834226661,37.40436413123224,41.27453056876127,44.90846771538196,49.236286935265056,49.72110718462178,50.12873731855801,48.24781289911516,50.26570641339866,47.427229894108685,50.42895686166368,49.618464590284006,43.46004544417345,45.23278075538499,47.774719141458924,43.77685418662749,41.161335630507985,43.23385053320117,42.92913389427123,39.15289597570391,37.12734550588499,36.082419636123944,38.133872142172365,41.90980899326082,42.693285788770545,44.66185237387634,48.10653130882469,45.09589730212152,41.36210687947682,44.264166170272986,44.74530684193756,39.8746535455324,39.891464743725216,42.88975212350804,41.25979173006721,38.40160737419105,43.06753128722694,44.00855580876168,40.07404366551978,41.13480289619016,44.9340775280883,43.242095945491116,45.46295537741738,43.715393993354475,46.77084402028856,45.87437834243022,40.15709758269331,42.51669425631385,43.97899973458087,41.01695385660142,38.326347340721405,43.623485686718006,42.47287987170055,37.122116738510194,38.190974508819636,42.82992740747573,40.98954150891569,36.930444690493154,32.83552604719938,35.68202134652225,32.05203921217192,34.74359011836005,29.683206670906262,30.449988183346484,27.623109247324994,25.47567506052185,25.744229100208457,27.154422457186612,26.897660285712384,30.055638103885588,26.41387857216559,28.912307205567107,25.03241525420599,27.875662323875964,30.7412832715772,33.85478881047572,32.227581950179285,28.37856441993206,31.599489769348754,32.82276575619926,27.733819299575995,26.81524585788455,31.522762210803354,33.9743950105823,35.42594651954776,36.656003444981046,38.3927542662983],[24.729747750453996,22.64367096305401,20.983007251922754,15.638901271391601,16.070076327745824,18.053805392783573,17.03466836342052,21.264546079977823,19.962545359277776,18.240536212763647,21.181564445197946,24.90645428150082,21.886509086124878,19.341647492368665,24.304743669418542,25.406495590095908,21.766962111472903,24.95032738957578,24.873363660509717,27.665275585536726,29.785242026749984,33.18270208262174,32.98979893214882,31.343355882901513,29.058072329198332,25.551344310468984,24.46648146945486,21.880095675510773,24.629284917616797,26.308035326555462,29.795365191606063,30.629371186810364,34.588007926423245,36.92950522167256,34.04981916000364,30.927317462406386,30.85242775358789,28.849471121386816,27.675337926510554,32.832829515168946,29.262075549872176,30.10014655983109,34.368488901661394,33.187133080839764,34.34013453432146,33.446553678234466,37.362346131296846,37.075508900858026,33.413721012321915,37.360290275572915,39.4446218841064,39.76960851627439,41.522208286830306,36.23061515180004,41.10516293388282,43.752367858092484,39.65061797629098,39.53866870350835,44.25854915785176,43.65251900557486,39.38965701201303,41.65956385987738,40.54454355603794,41.05857960923312,38.130791460724076,35.435170073017474,32.21539951305149,30.55233817406754,27.33914439213968,26.713949260466837,25.187864787874723,27.676036296453876,30.107478767892857,32.254985091422085,32.78395523780976,38.951277080159194,37.15951781111754,40.92225619854819,39.47322959780019,39.76201912009682,38.67198482588002,37.25758464830035,36.359093883527,36.39065977046312,32.825652167560456,32.042857854660845,33.103881862579584,35.53377901957783,34.17798539666622,38.573000296220265,35.96908333425373,38.94164178558473,36.38633499314407,35.5234236898491,31.09493631062542,32.29389582901684,28.209118862492442,31.207183051338227,29.578352024853015,32.8548813091099,32.19345971652773,32.255058983283895,31.97759476876967,30.812415206616787,32.384688847695756,28.128329758713623,31.573136805667747,30.072971585770436,27.153843188313317,27.63319337001706,23.44585451519845,21.446303389908547,19.06790126842804,16.601248411140602,16.478732564410432,14.098441462314632,16.947030059990446,15.23492754446149,20.037389552517237,20.455662061818604,17.30657294749943,15.785563224385246,11.344662235829405,11.441693278654197,12.637497879909883,13.330428002909807,17.300825163123346,18.552934481012663,21.582757762478202,25.722080811553244,24.456064967559637,29.089481447945527,28.286425792206074,30.012463405385535,24.708432271348904,21.53287504066013,18.592633496340255,15.478985722341514,12.320672041489784,15.424241196929875,14.296799552699708,18.836774274856893,19.341308713957964,18.226185672144908,21.892525323076505,22.27816393830279,19.454909468895565,20.974732392883464,22.046312803474613,21.399200941967827,24.59843845004309,25.647665727720682,30.56375747756451,31.916672179088923,31.315845217125045,30.69362776844657,27.38025360620373,27.86432830813898,26.60918126532475,25.872665910330323,22.940209239059975,24.942816275021986,21.266132145178897,26.143251826097146,25.165200239974386,21.3502747419985,24.703836396412385,24.944250354971423,23.642944953585044,19.94002530339468,21.752700746474826,19.92494003311713,24.433091584964302,26.584551409366718,28.35093315120673,30.475923467414116,29.437671746316145,34.7371319980448,32.944815546883234,33.84979973046564,30.76290938381308,28.70417564882854,31.746407509658237,33.07705446649125,29.848871693088384,31.95142874813269,30.35242851781844,34.35348966973138,32.19942832595965,33.16365055938889,33.09416783827281,32.35210477188993,31.299120845257896,29.658324110681228,30.388191302109355,30.781599303745086,26.570300909795044,29.259148190717188,27.92650204123109,27.717427902454286,31.55373306684962,31.388518789007964,27.27390667545416,28.1207358085884,32.03644572190834,29.127139559894566,25.07217421480204,29.901622661391347,33.25355299374506,27.999554102442946,28.688532438748183,32.55450709204143,31.041246464659213,27.794931957945323,31.311081865361125,29.60051645524674,35.523989365031596,32.672838525897916,33.09782281428782,37.018120198987646,40.44708853411546,44.917471103967934,45.18129825965351,45.4392002331546,43.39511427951301,45.3118548417819,42.4129089620823,45.35090945150427,44.61239098198912,38.431697956998995,40.11894206718879,42.69056144314923,38.75105784279027,36.05459992050223,38.10399987768212,37.938378663157614,34.181491931948976,32.020679805167106,30.969141809028304,32.97332484407464,36.76955944948279,37.64101980445307,39.65913016375711,43.21018547170748,40.258398277784956,36.42574634134918,39.47386003945761,40.11069731952101,35.25508576390014,35.253763119353906,38.48236864371358,37.0407921297317,34.12577335272593,38.75179576492319,39.94139882624259,36.241692161611496,37.10633640054786,40.82521516183271,38.94835272378976,40.9549928282389,39.02237784478247,41.98792085211259,41.29532693788807,35.539554132266005,37.666194096849594,39.2478568330907,36.39977962858997,33.48168260927743,38.771766063241714,37.878522064794254,32.48577313388137,33.32813821668094,38.106111022366555,36.518461364517066,32.46125784364009,28.470631953947592,31.615252211804503,28.253235671121306,30.915694445691322,25.844940098875252,26.224543963905724,23.600133088499636,21.675079646109385,21.490044011769925,22.87126013064125,22.22751319636953,25.219233336381286,21.443739224868644,23.809795489466115,20.024796570156777,23.197065115906657,26.18106080868907,29.41375029840437,28.17789846527839,24.196633926645294,27.543112569715007,29.129247313892854,24.141886066276395,23.21964853948698,27.993667043438556,30.790209930795555,32.32464842080584,33.5596290497813,35.37664282943202],[29.488878705253217,27.159215310523543,25.007322445716525,19.968483523134093,19.460987722688294,22.281820696292804,20.835970195922865,24.877852990662348,23.83354276613733,21.447395834308008,24.30389955257601,28.066314275294314,24.221939633849605,21.823680214982627,26.35429372449639,27.144294788052207,22.903626885641682,25.38790556629104,24.27264897507952,26.930799435725813,28.445838495027708,31.497779810092354,30.902007247571195,28.77733074977841,26.87787387451461,23.804297839162434,23.193325062788617,21.45427671304484,24.914530866587008,27.320498148381997,30.920480710935227,32.14046464880262,36.20300968399601,37.95622178257635,34.85021827800973,31.290273180303238,31.50578614593947,28.481980510896104,26.879049086246614,31.604577827678337,27.427018363086276,28.5927323612785,32.68276869771882,30.939744260057207,31.602289525200895,30.256164110847685,34.15297596130379,34.40889707825009,30.60777574562607,34.45065360229355,37.01954899209856,37.626918597387416,39.61541631128234,34.54345996254605,39.858495441842315,42.01092022081681,37.756281512318154,38.31414572185131,42.88825440988618,41.66044763147637,37.6709029626077,40.33816376015786,39.73121822161995,39.79249740996693,36.56327199411006,34.36057050935589,31.285401295986194,30.316396154762938,27.088518468056773,27.324880538172607,25.56464625493613,28.02764459019069,30.595415257871196,32.017174164224265,33.00934736038384,38.90286643272123,36.84265123005702,40.92986517832425,39.26257974547425,39.12703947695274,38.42745671805316,36.66031491203437,36.46662597737653,36.01376341985645,32.164110949606915,31.8618126240955,32.59274383866296,35.717463431792424,34.03089322487606,38.97482989427474,36.428618833145705,39.47266308740395,37.35877103010814,36.95858877607548,32.816507690407626,34.362725357996844,30.549420358311977,33.455537630917846,32.18149920798884,35.857818320958465,34.34557933532284,34.658979524159115,33.58077754738817,32.67379993049065,33.504631838763316,29.606524098739765,33.03372765210552,31.269321469369746,28.909461965323338,29.677188932692083,25.96333897619271,23.422932213161978,21.735751971907057,18.469785531792283,18.307033069408465,15.084717127462707,17.227207917295026,14.35934791675035,18.97474932932087,20.587004921301602,17.75205448950576,17.17429384990544,12.555515392846933,13.620155166600227,15.767860838559601,15.384800089830781,20.219544967471744,20.399437852845683,23.163077209147275,26.69963583181497,25.18976647430855,29.680338368731547,28.122617164860607,30.212045917249664,24.56650527750085,21.80650579806043,18.90046552108877,15.550217845854016,12.13338061496372,14.740399658050833,11.963225617101775,15.987094437063929,17.50092078979028,17.122750652943107,20.76203115847564,22.182020043343325,19.71264917092003,22.176668277344422,23.693434404233688,23.956744544980452,27.41094827659007,29.036311550539825,33.854382430766655,35.799049683432486,34.854540224021314,33.73345691607219,30.11066994680216,30.37221468828817,28.54417340311915,27.508300733457304,23.6201318206608,25.17036632027324,20.62094037543852,25.316272268613712,23.63143648239569,19.24230054380911,22.84977535899664,22.367079015236257,21.69145236444128,18.20270335730245,20.59283067413787,19.07226829878149,23.715831883521723,26.291485879620385,28.434839897906375,31.15060328211622,30.34650564005014,35.53193115630041,33.03794969017886,34.08054669293462,30.268786344266825,29.074269935264837,31.406962075530807,32.21688329021252,28.843664890738545,30.503754905286737,28.761836493326314,32.26222281577282,29.6058159678233,30.809812404656025,30.694251642767988,30.512140233029807,29.60883842420197,28.42505171646607,29.555984563293766,30.22327024758273,26.50215475688659,29.713890618647277,29.02929963287229,29.32473610605185,33.37887729244199,33.68469245562976,29.678593998694026,30.475340293928785,34.652363740216025,32.225041021485914,28.127255416221395,32.90234605876336,36.60834269552289,31.745389639635093,32.34719197557636,36.29516650587799,35.14452188407299,31.984726169206827,35.266805073122384,33.221570763382225,39.13893566412381,35.555930481736205,36.01159896109032,40.06308152974449,43.01420730164802,47.64540825711253,47.529503729344775,47.816291974287246,45.50315654625414,47.22404032322443,44.27060515654519,46.76618081020346,46.11768222619883,40.06421575485065,41.39177763919022,43.5918980230836,39.7958167243101,37.03229422772878,38.575865798359025,38.313775204709046,34.88757364190188,32.26475672162761,32.126653742913035,34.00505927986912,37.94279633384684,39.43250961477334,41.47684570998808,45.380396807773664,42.402931002389565,38.532781706968606,42.050163101682806,42.870834896301716,38.08136187694685,38.223041964251664,41.7869682216516,40.58922181845729,37.691270519833076,42.21703243828004,43.70352615550768,40.27900551741873,40.89703624733167,44.47775082524663,42.33951956275432,44.04476098734223,41.8360503408751,44.502790820855104,44.11127455678817,38.390208887091305,39.98104632746456,41.548499618688496,38.90850626317662,35.57747966686831,40.49707651517488,39.80449526520701,34.48414991049086,34.727773134894726,39.38314020612738,37.996872930496195,34.033545953463076,30.479903701958204,33.21388392493406,30.239492259946623,33.441112733235066,28.73417837448421,29.247361108036955,27.232043132964222,25.01708009669273,24.3071069603735,24.99950633296777,24.074337428588024,27.277295143272337,23.800555798333157,25.662515343401527,22.27148788223276,26.310391252544633,29.237578296619507,32.69528187915857,31.714646616543117,27.83144675838385,31.432954476962934,33.24614258843904,28.248142818874797,27.56921220789901,32.32540863091847,35.3161116371644,36.8800705652104,38.067177800146034,39.88310305614495],[30.85871502474174,28.81154641219547,26.859255927622648,21.6682089791844,21.130710450333893,22.845190322638814,20.796935508775256,24.41970554255371,22.66473328362096,19.650360693807503,22.012931176648337,26.02338815634609,22.1089793178928,19.152080728972876,23.39535511749769,24.4608542856182,20.197033705970295,22.28439746605654,20.907237115290485,24.052494876192355,25.389928695845295,28.810492829050542,28.05449686532346,26.173964236429068,24.47461396379287,21.03129723147485,20.866374823473283,18.99232554164255,22.37301585576551,25.03403437181157,27.861951793612842,29.731881287113655,33.54510280412863,35.084394369187216,32.27117450932323,28.634976646707464,29.421706387151293,26.383013917381735,25.187279898603602,30.37641517547414,26.015457923136882,26.409922138526085,30.659864744481947,29.23395386076217,29.783076562406013,28.839467118121373,32.719411502831,32.91875119085762,29.624982370227258,33.80380727925665,36.03742573524692,36.78837612392871,38.46688686552693,33.29708253370293,38.398160978120174,40.38197038821698,35.92936735393504,36.23259961175484,40.764066473014424,39.5739063232119,35.23392644338987,37.51203366395361,36.7497272513156,36.58400755151268,33.621027708218016,31.48934195567167,27.892047900634626,26.94820951359712,23.334370533079188,23.577252212474196,21.58056290718092,23.825907668856047,26.62057058087799,28.113988882366485,29.420711962755707,35.33892793659608,33.65833987198001,37.79937454005385,36.46588018355066,36.64217130600251,36.31443358909655,35.0093791405113,35.03826515600963,35.05960396224735,31.21291477946483,30.37034945175276,30.5534718023708,33.61051554280365,31.37585615497161,36.15313901223863,33.269774119378745,36.00632023207419,33.93264333094399,33.75442416630326,29.745064305909064,31.12640573523362,27.458967065375408,30.829698614208507,29.952591235922302,34.080560355601975,32.48248647069501,33.55562936845238,32.2988916702525,32.14885790829189,33.394068794068595,29.915924414213976,33.760899684752275,32.51374214201012,30.328199795665515,30.48682190218674,26.807460399234163,23.732645872262815,21.5098015428562,18.093051599925943,16.721784024794214,13.46853146057929,14.823748591133953,11.890888735227977,15.611583058410103,17.30674687153195,14.289284320714494,14.168993022800493,10.011934420060358,12.085021146473167,15.001453001027066,15.68404638032221,21.06033371269962,21.376441505380217,24.494903713564707,27.769202487307318,27.1435312311463,31.55817841093008,29.915554818235613,31.37441907634953,26.015148175914167,22.757125104098293,20.896725668827827,16.842977043137434,12.97168429488203,14.728204143044714,11.463844330986793,14.997279253525571,15.699089019004314,15.781505963004614,19.37219981022144,20.426370641575957,18.26184074313208,20.823972117370875,22.894591131901027,23.069757935592033,27.009404857406995,28.173475124604952,33.1604625510377,34.9076038955493,33.460293089713566,32.443401895583534,28.680601546223667,29.497532241736188,27.19073114733936,27.037943214397295,23.230539852972235,23.98494017443654,19.959507595768795,24.51051577591519,23.681372780980745,19.855517864598337,23.99815924458931,23.961460493220095,23.787571438149527,20.04598212083768,22.117247321945992,19.893496073571182,23.97977132508177,26.15733503108069,27.82154557665735,30.503711953495227,29.081457106327818,34.490792441434614,32.16026820935366,33.61076835846395,30.140334908477833,29.288030790147978,32.08618353775184,33.102960072844645,29.62092869978075,30.573612774845586,28.2600182322422,32.03005601579709,29.61483659127221,31.3527547475438,31.695416901747038,31.569549911993313,31.238046282130792,30.299590317085574,31.668423412363495,32.75042670772477,29.087973976287483,32.26504464606527,31.75075507622374,31.506226049573996,35.82514991656209,35.65768235595177,31.631454947415552,33.012994859809915,37.00774727907274,34.214081039545626,30.6145211281911,35.4775587608116,38.70041509422592,33.752786195109266,34.70741302467011,38.56098032435257,36.94212427239481,33.9918426733973,37.641512070528805,35.891696746725806,41.73969692878005,38.78157409354789,39.00556370442252,42.94077074601114,46.108783812924095,50.74282155480181,50.68996385513215,50.68710213656769,48.338208780319,49.92246918877604,46.718507284737754,49.42495103340318,49.05974104370516,42.89414290559294,44.06262358894142,46.61233349049311,42.98459056525612,40.012101459589125,41.50469867070198,41.709006448638135,38.30770912813643,35.328143978177664,35.06907688535095,36.36809518313366,40.312664520621965,41.70394234879973,43.377457114209825,47.17978506353302,43.8544109232789,40.288365077891136,43.877469791476464,44.25918353107595,39.428978357588974,39.984080712652776,43.30755808841766,41.8729448127455,39.29310782289697,44.03070664884061,45.24202649982557,41.71577127869145,42.80756996486536,46.490832227440166,44.59723918612409,46.30890153982796,44.03521514688552,46.96682974852362,46.7244413233796,40.95150338419488,42.64576594265545,44.51212107919806,41.89071469397973,38.57367514818306,43.7027305995806,43.23129917779069,37.860310124649956,38.128690715120854,42.97867482157958,41.73934101937661,37.75190898469273,34.07618880726948,37.11597211742002,34.055120357405585,36.97859387466823,32.048272410669135,32.26515571456228,29.77810114674762,28.011942987042172,27.507798042355148,28.59912794238721,27.560003867777457,30.41906924814073,26.40241164602183,28.03118045730603,24.145816673190573,28.074728573731477,30.473175367092537,33.96062555119173,32.32106647802849,28.845951741356604,32.71916369391663,34.0022722990661,28.68450312574787,28.644255325870002,33.535613000953944,36.18391214438577,37.61120380650682,38.72662038899455,40.50746680528938],[26.151359163111902,24.098226717175635,22.058260844225725,16.963692184715363,16.285438175841044,17.43962196375672,15.325508302084991,19.008059705522324,17.366396348741727,14.747476472360855,17.493014360920274,21.333416620275013,17.796119815675368,15.15481606638227,19.904296104921205,20.930229960616526,17.113312485408578,20.167896528038792,20.161179638619316,23.00083346893064,25.23470900994597,28.76794247214549,28.71633136090722,27.348126590229462,24.924360377813223,21.20756841868113,20.08251452597692,17.293494445026266,19.969352701392843,21.807540562149654,25.11324738997802,26.203646607149008,30.126512253783787,32.28024952147527,29.44020645870535,26.24733368187929,26.419494647845355,24.392430857884452,23.46210286550859,28.933277239279832,25.39757177166644,25.792768956343565,30.149532826394886,29.28324943724025,30.589608148799925,30.095339250225077,33.994187731249454,33.41531217983415,30.092393762616105,34.266916557114776,35.96039937193244,36.28835347579868,37.7813310594699,32.396543680088286,37.06139147240896,39.702633243438505,35.55534392908511,35.1833604530339,39.90356159403697,39.46613065866263,35.019026068776505,37.08811002687302,35.84728778182259,36.44289654297465,33.61863120909229,30.811445658488072,27.541155718470048,25.771932759468033,22.638069788311242,22.01606902624165,20.608135308759888,23.31542282990715,25.506930172303274,27.60065547616708,28.008586627282067,34.166631466299805,32.38355770252732,36.13883120437702,34.75888635622738,35.17021092912859,34.20621342678752,33.04069204727232,32.26530645067665,32.602321084146546,29.049598579918563,27.901337082579094,28.684472211101852,31.0704552075927,29.49941359659728,33.86099815387266,31.19561559979468,34.16962137720106,31.676143661990082,30.922121232041846,26.581246873066974,27.936469484009606,23.97571447598362,26.97333624419635,25.62739642090058,29.337602640561133,28.223981388522237,28.858499288824447,28.18814835942318,27.669182463249367,29.419758556822874,25.63661678612426,29.513380404693727,28.514708757635248,25.992223046422456,25.85998903589561,21.923273364950443,19.10319079709789,16.4506571999164,13.510648409658897,12.409837658513254,9.81836436063263,12.313962003195497,10.820437876580527,15.512105265840447,15.673892063619368,12.557952032373292,11.108841903993339,6.630792708199164,7.381085727065885,9.690174466794597,10.993382387207678,16.009198268556524,16.924938732652596,20.27637980023446,23.915702953820794,23.66838038743821,28.147076854525515,27.111148107370596,28.157490887133772,23.145910543388666,19.47930136953781,17.827468302957925,13.834684949154255,10.200146931770004,12.434173994122697,11.386553631845548,15.732366328487409,15.4037753034961,14.309391715546205,17.921557681089922,17.97012039338101,15.307258604937603,16.979302783519053,18.568943121609685,18.161777676534,21.91740110744222,22.916885385157524,27.92503617704473,29.562687126596884,28.354795622457672,27.468501702557628,23.882381798826195,24.660519387807433,22.837323267178906,22.690709277716316,19.628800556491885,20.98836340856649,17.71020780320224,22.490509677163445,22.275953490620672,19.06535381072482,22.865691455332335,23.691388650001244,22.854592237644905,18.85231914284527,20.267999047775454,17.693837561023457,21.648265348439114,23.43347041426631,24.81746237901695,26.973161038973227,25.507235106399463,30.963789635119717,29.218777789940685,30.447905251326286,27.615398934801885,25.906349029128272,29.337111158409087,30.860335616385274,27.53233842418072,29.02602055823516,27.00612400328267,31.306417603449955,29.469411029321005,30.79880814299488,31.15850667575853,30.374898240154053,29.899305852121408,28.51799169317432,29.537892313770563,30.485784775095293,26.444769096943695,29.183539343037673,28.310261648897402,27.50381387963158,31.79695354462574,31.17704239184704,27.11394200896038,28.817152153762397,32.57510136240572,29.447753483661444,26.227079519823484,31.115385260365933,33.91733947806562,28.937165852164295,30.179514319515686,33.92647992320095,32.016752379919254,29.333753111756693,33.258076073424576,31.73401246585923,37.42097129123329,35.15644576452653,35.03748528339772,38.810194114273784,42.215392663516525,46.81878925211369,46.882786308332896,46.61795221582572,44.347071329554296,45.929520471653355,42.63079128967005,45.683432908837695,45.4254113512725,39.144593479255285,40.426994211941484,43.396227591807815,39.799820724990646,36.74554504476309,38.54970154690804,39.11269603852725,35.52802116993058,32.63818481346171,31.69807896998806,32.77999317090571,36.61863118211549,37.58742659689483,39.10548354853626,42.67243089830493,39.27163323526362,35.81285246772271,39.18510936638089,39.34975032009431,34.4875233187093,35.122103919750145,38.24112624239122,36.66899732113029,34.214665381305615,39.052968011971664,40.096726440786036,36.532682154406686,37.87402922762333,41.605852678527896,39.8931989396857,41.64302174607416,39.41500622492666,42.58714344366979,42.35317242481977,36.562542936805876,38.48215286757048,40.56418244796517,37.920893788545875,34.75943899765674,40.1771179493358,39.85750807012081,34.45090886357811,34.95636305722217,40.027921333078346,38.90772972135391,34.89746893263414,31.01810791601962,34.62232396464037,31.519755559892772,33.899833645794224,28.733151868181835,28.4305963414099,25.52893540938463,24.410722429970626,24.014336432411618,25.66144007952105,24.475009370256693,26.833789455564713,22.333702267570196,24.0113833974457,19.736121213892243,23.239758583013412,25.43222641861347,28.838003028193196,26.981216945292303,23.586756102316546,27.49953801212642,28.597786573087937,23.228335148338488,23.405602995778093,28.336584619135245,30.882096093173203,32.29250226095807,33.41371016224504,35.23946356747928],[28.65715544703875,25.98982047673115,22.9770889749583,18.5343143023496,16.42558911783258,19.59641646732231,17.546551923767993,21.244759886967614,20.905126475319683,18.346843882061243,21.470254006250713,24.800416309999758,20.430240662732164,18.97172170329835,23.269808615487133,23.448244154326545,19.123935954111115,21.833742197313075,21.20277034126705,23.13449422600844,25.122844227721373,27.856017331254947,27.809436376581584,25.87854866359626,23.355287492578096,20.450843450659665,19.059209960533217,17.262652137697593,20.676831349244896,22.896891261977434,27.31059713511789,27.897517971581102,32.18891396246519,33.94742872385006,30.51433628746465,27.03471501846237,26.747460868626224,23.773470830471854,21.968734026626407,26.51981748040423,22.761559311108872,24.341044643377682,28.3498283198523,26.748185299652,27.96328447807084,26.8234271044707,30.738425330486226,30.412207199647057,26.44996151946663,30.24921141363084,32.52024539134173,32.840529998299765,34.80610700654465,29.66790082871753,34.87984725900663,37.369427289383374,33.36178937208234,33.75396064104758,38.40811208248337,37.52520750520893,33.70832135336133,36.562304884170096,35.92125762012166,36.52461107346323,33.11557319405546,30.566507777008443,28.223535635849423,27.02646922895699,24.574767918866666,24.82931578877353,23.64250975855894,26.705180932859328,28.50687603415003,29.723765106790015,30.011896520304585,35.78605712508203,33.191843961626255,37.11739040013523,35.082769777408465,34.71114234829064,33.614407574408354,31.598418143882938,31.198010768931507,30.574490701275145,26.785907579142034,26.673344849933677,27.812985270895805,30.893098563010074,29.744742602371094,34.80014727996234,32.70786761603045,36.18094152627697,34.12039611495297,33.55199349885108,29.452517945332147,31.45756583079821,27.749209697476267,29.831744704197995,28.43047494955605,31.973575222938763,29.91907370026743,29.94548803331204,28.549828437775794,27.51115623306198,28.009025229550893,24.26370402991905,27.74288972231824,26.07402321565409,24.062289073311035,24.708084154442712,21.36502900466386,18.40047067151329,17.26062939416233,13.606509080297474,14.063913199797822,10.703280890219386,13.213274949196855,10.697482993023613,16.295938109801796,17.47451368634275,15.209121646699506,14.374680033462504,9.736936582850957,10.167738076565232,12.340771528986922,10.734374958320181,16.10621534323022,15.513753633839753,18.236594277779666,21.37766306483347,20.317361822320834,24.700366976349088,22.996030985218617,24.776742502741946,19.230631462184892,16.29921704934271,13.991001261676972,10.15952196661825,6.608391613883302,9.209065750523598,7.4994689277041955,12.13532609883549,13.352002025319443,12.257727980498588,15.840154690720679,17.302590059474515,14.710066359323136,17.26115789796087,18.655376149417936,19.503401132643393,22.91103691839886,25.153142924658297,29.71030063787914,32.363505664517206,31.269210282985103,29.603862290070705,25.88287914617144,25.710826080472913,23.78794769125014,22.296821262664686,18.133494273654495,19.884211299791403,15.203593257526594,19.953669906163814,18.306916714493077,14.193743875009375,17.79110241970265,17.980245168888835,17.212837562665975,13.390164702242847,15.39610288214467,13.53826342482053,18.12351408725634,20.673517213070088,22.894296719844018,25.65436394730338,25.130116189514844,30.152012223630813,27.55675474546699,28.491091899093313,24.669471269155917,23.451684896326064,25.829393280801387,26.765214940354337,23.389096580331692,25.150435154785118,23.562247215266243,27.279159267684168,24.986476592692394,25.985020530068763,25.972725889172228,25.473734530420515,24.717346542027023,23.503976715281574,24.722878444017677,25.73906540002996,22.074856779425104,25.31894378721216,25.059645443104422,24.98729099930501,29.42141046256255,29.54895407738953,25.646981856005603,27.069766194107153,31.196566028044828,28.85315350919734,25.454863999774254,30.22639932927272,33.62772538938286,29.29386222190106,30.339980769696613,34.21376412381019,33.01383411449339,30.484381862926078,33.98464387388715,31.898863456491227,37.52137144854509,34.24764672930304,34.04461927235192,37.98184956716133,40.69833470147881,45.53831691063412,45.06534792881892,44.82059275368357,42.20736777990878,43.57621594140503,40.28200969125423,42.780984150763885,42.56344947958018,36.44675466601316,37.3664119927832,39.8782485338619,36.419975174885074,33.312533114922786,34.62189922951345,35.06448804656304,31.813351908384476,28.470966113632088,28.464269213275593,29.563659803202874,33.54976406380448,35.22916844203893,36.94001761229877,40.957531338735485,37.72729514297003,34.0610216762023,37.94801146997655,38.58089218441829,33.84629906072899,34.43084559027895,38.10903054999651,37.01616632985601,34.42602569932475,39.00378254499585,40.60262897626963,37.530542580232854,38.28997784008116,41.76391937140616,39.59755360937087,40.90347271067346,38.32522043679464,41.02723279667397,41.165092446337184,35.44190118271188,36.631844133716974,38.6664077821695,36.31161641252512,32.611158126598085,37.56741222576575,37.553333184283794,32.244702083635694,32.00083814663948,36.97376854528291,36.18965607525926,32.30905215548634,28.990497516303346,32.30583606005302,29.80836620438337,32.70384937072758,28.005837967835472,27.668147926377344,25.6930051340528,24.309166941774066,23.06453633149252,23.899359161778026,22.204328493435586,24.68793616143096,20.621884036044907,21.721664269706714,18.173422440111477,22.821148024260502,25.226379887696133,28.87503374826028,27.885721781769227,24.36617675985947,28.408491384991503,30.19559408127693,25.16527272129278,25.229173566325287,30.00985436558182,33.07767357421127,34.6199246494268,35.73329711424455,37.60029675377909],[32.72961396288462,30.210423772851197,27.422245354664035,22.785952260620494,20.96265568179757,23.829111321385444,21.56061419316798,25.047322042460383,24.214530855206753,21.090225422929013,23.76513879169464,27.361356482189898,22.71067528235022,20.74455869294198,24.62216400680092,24.945694243632417,20.298364943065007,22.147065292044562,20.40126740904668,22.694968972985446,23.919162116313345,26.653388711907162,26.0122972005024,23.74520952044005,21.853255394275,19.073810617312787,18.618095960566052,17.52760904335103,21.425229818146725,24.359475087108382,28.098348681830675,29.51709991801239,33.62302820294836,34.836327529423976,31.538916695137793,27.700416306310906,28.11990300356362,24.36689408042342,22.533565119253048,27.01455781632103,22.511702935926895,23.777077044168035,27.741149804313768,25.79371032383847,26.331349644969958,24.948240673776372,28.848363075484134,29.15691979484051,25.422388693263628,29.346123283565724,31.919712861744003,32.67857791770786,34.66118682267153,29.68099774863058,35.145536499236044,37.024607341083914,32.70430844418001,33.549168886968125,38.02634724769876,36.55092874190383,32.70806312042183,35.60391940812347,35.29358712522354,35.23786746206865,31.795925059595397,29.80823837230268,27.07647191291559,26.525420748956165,23.63910123873783,24.54646191051407,22.901914941113336,25.608213565443112,27.84011696026019,28.599996145017265,29.626021637751858,35.21369146781764,32.8005549941164,37.0343967301149,35.14780491043817,34.70111010290234,34.25211461346262,32.317013183260656,32.65454062856563,31.997538263940665,27.998663999080044,27.891216078188116,28.310556945067102,31.881616923863156,30.005396907121394,35.31184537403152,32.942531639972216,36.140121643138315,34.41532826803026,34.35077913537568,30.54238320787972,32.518141284541194,29.062329882704343,31.59489653848145,30.68973235609532,34.735195878335304,32.305732871689,33.003597534867,31.111534961656687,30.71691872705211,31.035692627976854,27.78282063857007,31.39901318277114,29.81927845087225,28.166205572832297,28.71512524201105,25.589580041886492,22.25161602428448,21.06460632356348,17.120027582033163,16.641830912481602,12.898728345765944,14.16752288554898,10.577668753397912,15.053171973198364,17.402421756484493,15.185050397473622,15.388501770010498,11.120388673640628,12.869303217202008,15.833700184509912,14.780211460993023,20.456851753771254,19.6725173007938,22.345066345241,25.022718167798132,24.12713776028994,28.31947805703353,26.125047721427013,27.901377955466963,22.349232371849645,19.5952587559647,17.756819523326097,13.77753988104413,10.141242590603245,11.529812597719301,7.44366942256492,10.871939388742348,12.744657026089275,12.933786905980078,16.38999694856376,18.480627753498954,16.473849767089227,19.675799758308237,21.689620935634412,22.832093279088312,26.603042486602916,28.67828501706083,33.319473344034336,35.929965040154414,34.444177950760526,32.75055100674822,28.84495735185782,28.988295151753373,26.503184510620503,25.48402605086016,20.89611140273399,21.73308073296837,16.8187221669688,21.196003030137565,19.46770151513773,15.169391391336307,19.264203470965082,18.846340629348145,18.987453744395005,15.448568804691645,17.816378703857822,15.99091886038744,20.21486890268358,22.82512868808285,24.994135926239586,28.113004296316415,27.32476419460055,32.38188874947233,29.42879459164058,30.719339225344385,26.592924215359574,26.25564311229596,28.31019547727504,28.90581382498031,25.40668311173812,26.329700969791343,24.24720135615703,27.591657872770654,24.90253160381572,26.49729913532897,26.679067351238402,26.809780698625673,26.465640246292338,25.784956710450306,27.394457125863873,28.696003233901035,25.45700649163586,28.971276344038852,29.06322306115225,29.176677210167412,33.67141819608188,33.91681604556497,30.071579902548056,31.48635789460811,35.661077121753166,33.396451458988935,29.947318198750274,34.70645592213988,38.180421806904235,33.815693826998285,34.795737345096484,38.693939293664044,37.4866381255543,34.83800615653176,38.299757767092714,36.194129038931635,41.899413421575346,38.3981701205139,38.37065845616277,42.36206349333353,44.99521589822899,49.82564929729407,49.309522826698334,49.15009367590502,46.478867439568006,47.78502733769315,44.47913482883438,46.789960990351844,46.60762297684296,40.57872764985085,41.33885335110352,43.6518140779415,40.26933378202288,37.17163672824131,38.20171851910806,38.549990367864005,35.488599829884315,31.97522212696643,32.44584931865954,33.45488705966967,37.47648049481098,39.41211520665711,41.06559395569922,45.183244650260946,41.87628664970203,38.28951758712705,42.333822705621444,42.92643550452866,38.22244130421867,38.92027152407598,42.61132589666457,41.50703345743408,38.970674157257434,43.5568149310206,45.14254747969847,42.040657894486614,42.83466892170109,46.31677561637011,44.13516734346234,45.424482407606156,42.807335594029645,45.435698635831436,45.61836200157335,39.9142379670796,40.992413750326854,42.97154993759105,40.64660388021111,36.879101870681865,41.6695763543797,41.61875138806523,36.35342842647126,35.96079336348212,40.79470433023276,39.97467293535729,36.12828654159444,32.92990575861246,35.900211975770105,33.40356614494873,36.574600731795954,31.97582618492467,31.925558598879423,30.030632185967182,28.35511211202872,27.1768729970466,27.775782535067517,26.210068034780008,28.92033184632754,25.051768245825112,26.05275185218426,22.625929212952055,27.362150908398394,29.661607945899938,33.34374496715669,32.193096482352786,28.80365506642644,32.904257809635475,34.557850773021,29.41065075751591,29.596342857198835,34.42712992068071,37.37480826189402,38.85355992749126,39.91973839656516,41.74494146820357],[33.819646032624654,31.506599876055503,28.814968559298812,24.176307567788193,22.196294082867038,24.081311957889124,21.22700878827082,24.191186042518456,22.853254336256906,19.133529734769848,21.337224287142725,25.017384273159383,20.183648025207063,17.942306513621517,21.378902413503035,21.79186931304789,17.068553603903435,18.47178862049513,16.46737803215377,19.10962704284993,20.248054442200566,23.32029783415087,22.63044187785864,20.649413518015205,18.809310156102274,15.62276054551106,15.494150407374336,14.284812543151796,18.16502769287177,21.38905604704969,24.52681632842615,26.476428789939146,30.38223786120558,31.356913539976578,28.2648583618794,24.336207889625214,25.261400616824133,21.45236489845396,20.015106944115743,24.971284402493193,20.37591104059238,20.83656797214741,24.98565789237735,23.42121186371411,23.99014793932188,23.123092233742028,27.02013869456045,27.102752543699054,23.903275610121405,28.156721956840038,30.292543380577488,31.115342947207104,32.76622755621325,27.668600707185504,32.87027057828757,34.64491472788297,30.170459567077774,30.708339154949286,35.17054608424382,33.82470428875787,29.61836651310268,32.17313848588955,31.693838858315058,31.54369487730513,28.29637210472574,26.27902471120343,23.167816894063847,22.617569692936616,19.53671430011194,20.54191459768608,18.821315097333727,21.531813215291777,23.738985729748606,24.459325820239883,25.626656590019337,31.20715327676656,29.027489972042986,33.309176424141974,31.661164931364798,31.467335549829638,31.324321999461233,29.82418288345447,30.365611573789405,30.184822523487036,26.205659880271725,25.551343018579878,25.45607149488143,28.97048687042322,26.621267140714988,31.818328546946823,29.211790336284263,32.22074430907494,30.56757776113129,30.706731023520916,27.060905867746285,29.01011763253144,25.75931611041386,28.51715330150274,27.997991868612328,32.44276081063957,29.795597113259337,31.197574321401557,29.05353963431416,29.414423468963875,30.096723074169137,27.322215249936015,31.315099573754186,30.28834445257824,28.863604988914524,28.78561811533754,25.79638781590895,21.94532538051104,20.34903558570534,16.284734244411634,14.652851150652232,10.893254856778894,11.133679390825094,7.334961084599073,11.11086279199768,13.601902267180064,11.429665878565741,12.231771312116411,8.658988420330537,11.352820063922664,14.98126340616704,14.786902347233728,20.84404035126548,20.114512620062413,23.06250499277324,25.379431246437203,25.449777134557102,29.4807249256871,27.25521477184401,28.297397205141866,23.188582200546584,19.961168491850888,19.30644739745818,14.795572423158431,10.982166915347657,11.17188728680169,6.923507345376586,9.506522184645732,10.191657300089213,10.891804260546442,14.226894939983694,15.9383727256947,14.31685840687327,17.666863107640502,20.244775925425277,21.42245837606771,25.60727366266296,27.33424641794414,32.03905887043048,34.58882577901312,32.60433678437562,30.89687679368223,26.856298847703247,27.458015188968314,24.477270153307618,24.28809935737668,19.793027058509598,19.75587039624865,15.460522854400969,19.611698544433906,18.896333608251634,15.454030417729273,19.982152655602526,20.194114565578406,20.770363812018218,17.058896785904018,18.91294904391278,16.34830837105574,19.807748525036438,21.93171789933811,23.562319696026854,26.630576271677636,25.252600723175302,30.473891946872648,27.68149678729522,29.375837778090883,25.653457719242034,25.682300910428037,28.211511050019062,29.048168786133466,25.49246513971902,25.668964536957024,22.99546528616643,26.68841715477278,24.319209450984218,26.442228372663205,27.152063002357018,27.247578150547927,27.530047413557526,27.08793404567115,28.88928778956873,30.603588350833235,27.46106566915721,30.84551051613632,31.106958795567397,30.652006206958802,35.374234510652144,35.13724405481392,31.329778997876556,33.33917804650115,37.29311330197239,34.711304038060256,31.827854442727542,36.6269604852114,39.59352877624108,35.24450713578581,36.587068774087065,40.36883364959473,38.742758558848145,36.377058710122064,40.17368487309002,38.33927774892887,43.92081772411013,41.049029043712146,40.73392102386551,44.58538264097942,47.38993374536552,52.23189210665084,51.740595969079386,51.24580194191963,48.52089503213756,49.6530324007295,46.08951414042489,48.60226196260541,48.7360514755081,42.630084505103994,43.20120655892569,45.879463914214924,42.71343554967522,39.40952925128187,40.38764616555828,41.252431716209244,38.232562978581015,34.3753384044169,34.68765695796383,35.057167137253494,39.043787805223,40.87291342115614,42.11578710268535,46.11091381729361,42.46383829658388,39.23003719775366,43.34556271910386,43.48980284964846,38.78672660257418,39.924405855236195,43.37617263142109,42.07231730683249,39.889720423250466,44.65006494361884,45.9866533831315,42.85886961507084,44.09888091846585,47.64333291650188,45.69553691394598,46.93646181069148,44.23075669671122,47.10265840534555,47.48386986107991,41.75998154070309,42.89311786634734,45.19425148570403,42.925352460321044,39.16506495711636,44.14099488211756,44.36443691717114,39.073729713681,38.682658182089035,43.711039173150034,43.081355817112296,39.23786152175123,35.945410758131366,39.256714501092674,36.7161002859984,39.58655179167665,34.78156150722367,34.380164857765664,32.07378850497744,30.885500482349833,29.85367049043172,30.838224837337147,29.137227210913096,31.443028064276888,27.068322744432198,27.781504137433533,23.922593906320493,28.527407409226768,30.271977475770758,33.95645838794089,32.225686458565114,29.29452100798505,33.63560677365867,34.807203436266825,29.419086131591197,30.262499344132422,35.15802305822827,37.802490184229676,39.18388279794673,40.2019296362362,41.99668909316516],[34.227476919925245,31.977774142384725,29.252434427126236,24.723473607797235,22.559025366603652,24.019212215691102,20.89045711788162,23.526948245871814,22.074023057441018,18.114904029001554,20.10400177353282,23.721359280655207,18.77115850853674,16.569086873761403,19.7202431393014,20.07585592360745,15.34413043215171,16.55296014619047,14.553385581906488,17.21775519637253,18.408719942921373,21.60708958005493,20.995145795044877,19.213664746375606,17.266751996947,13.928931328053082,13.800177761360299,12.51603258298585,16.34541764406405,19.656717503476973,22.614927333510348,24.702774790787288,28.540166618573664,29.409644147647718,26.371162156094677,22.43012119059371,23.51240460345476,19.71568256449867,18.46163019981725,23.594671278310642,19.005941901675392,19.198384324509195,23.416442671860768,22.067377988677,22.746815908828705,22.162958940121545,26.031034465763124,25.918769485326813,22.908053542454056,27.34453672302044,29.19907667223417,30.018182386539806,31.486099999976794,26.327773517516253,31.362915177572873,33.17278874089089,28.670715826037057,29.017821157425608,33.486425431877656,32.26550630696967,27.94164808630882,30.343488805477815,29.77888704278251,29.68647398385051,26.518387046010563,24.418853504941108,21.26873667481941,20.648379821839058,17.63677004576074,18.659307413192177,17.04780382227413,19.842166835882114,21.880365595211675,22.569832575329954,23.65012114158502,29.214498521204565,27.053916319926874,31.30665530276612,29.710887152585496,29.6118795367666,29.536576361984277,28.20362576296389,28.79755477078981,28.79813569068222,24.877009702836023,23.99330152678663,23.71987174108039,27.173887505112432,24.705537581227997,29.854359307878457,27.223784149132975,30.214049387003882,28.59392199950484,28.783837179106065,25.221907429443775,27.229201360243195,24.09295216310856,26.808872961857823,26.450254496879825,31.03169286922156,28.22174665942382,29.89349969695007,27.61207165297637,28.29467683967082,29.121833042853524,26.58664780103653,30.70301071613591,29.945395749574057,28.676526544840197,28.310926903778363,25.462218413004965,21.39817246147953,19.70878528774864,15.644774483716622,13.543088357257254,9.907621779769565,9.56736985224628,5.865954694401237,9.29150492895964,11.742436363903659,9.74960291722636,10.786278491766392,7.771804588424966,10.744944459464316,14.557376939592686,14.640264505605796,20.74293261646086,19.96678508618705,22.968013098375476,25.042522643449324,25.57812223142966,29.474061223980627,27.25063379271936,27.933500885622646,23.098648290077623,19.720874862102637,19.69970340243159,15.00783360556014,11.310153135390289,10.89172629037856,7.038762983667814,9.018291553812384,8.932513924688218,9.785097725205352,12.941889233469103,14.420047772257476,13.018928157362836,16.38509841106424,19.184402548587713,20.43795274893659,24.7527493588229,26.384145833575708,31.038444363114607,33.64332556799325,31.42736529063764,29.652161681961644,25.570160835584872,26.316079478459013,23.122601584221034,23.270910859077755,18.846961724740275,18.410589784679996,14.497316002388448,18.464072726956854,18.257606105535167,15.346815949735243,19.958401847067073,20.51834456786147,21.26591144879428,17.52376617534059,19.066825132075092,16.187653139757746,19.195602738571562,21.04130592382979,22.40575998303428,25.42968193846129,23.81093700014435,29.068009876996786,26.35406942708906,28.22380695021832,24.711415373511084,24.885590334649823,27.617383312429137,28.578483730344104,25.032258912651052,24.90509397501525,22.01177585128831,25.888274424884425,23.849257399951206,26.125983935024855,27.020258476321043,27.0334799422366,27.551880843598962,27.192738856187766,29.065026491847366,30.96311127739221,27.911467255883327,31.200418634350598,31.569302330919065,30.839018021324286,35.66002854784187,35.206958684773376,31.455426095402853,33.761798807040364,37.59170269613229,34.91002069960893,32.35617941796897,37.13369554867253,39.847330658967586,35.5965610326068,37.122428189268106,40.82866658092068,39.043508539054265,36.87153608158875,40.806903643215456,39.07567639447112,44.55460214984902,41.96808607548703,41.46819579470335,45.235202880050466,48.06421441609666,52.900005461569464,52.40098560449478,51.7165104055621,48.936263735433826,49.961323287479836,46.269565326632055,48.85327182019291,49.16407164263493,43.03875274796066,43.493833145064684,46.34804782903476,43.30318363942345,39.89940836652439,40.82718516471101,41.976353247704985,39.02299476731456,34.976679254534716,35.22998415828712,35.251609851175076,39.20240284736457,40.994216230393995,42.029484306857384,45.97236410739749,42.16871433006416,39.121101274445,43.288294387094616,43.22429301162117,38.54100880897604,39.91137467858607,43.26459515389833,41.89832934430536,39.90829270344937,44.72096385339203,45.96668049353523,42.88646775016777,44.315267909987895,47.859333720902555,46.005777948206315,47.17322717796704,44.400056951620364,47.360570134395196,47.88085069656706,42.174654070382886,43.27551480184083,45.74825575447087,43.545648888346534,39.7672353464481,44.79177718682343,45.20334934627698,39.92740707726858,39.48894561208143,44.5988202542314,44.11843929061253,40.29668968130054,37.006448899160304,40.501055612189454,38.00465146920942,40.71593066166609,35.860839928967735,35.233812020128916,32.79248854559943,31.887964198938306,30.85893640191176,31.99719050617617,30.177925416778063,32.234397005325896,27.63999235080283,28.1494705884492,24.162550015667062,28.710135295558768,30.107813256063785,33.78369511769291,31.782445225898588,29.131511467250665,33.605837625738076,34.5369797304647,29.103384060892665,30.334199479431483,35.217691078060255,37.74296023526058,39.04574301053061,39.99757769035027,41.78081263750659],[35.78921226656001,33.68712153279467,31.179067661349045,26.57774531286589,24.69766572127217,25.80062025407786,22.679704769721827,25.159386119488257,23.381317728531613,19.335560533542807,20.9590924244787,24.6469001971436,19.889775743643387,17.361951079272075,20.210025932527127,20.7642424797879,16.22264432927009,16.931708970405364,14.539950018379873,17.431428755825994,18.193526849832523,21.47930313799667,20.56259399736351,18.764713289280436,17.216398386434616,13.950243737429007,14.414838283372118,13.481574174677437,17.148875918185148,20.585915243848728,22.89679085618186,25.417858115792445,29.011918442527353,29.666189785445052,26.855212743870844,22.896929236278783,24.370343816555685,20.482740370087118,19.42223271530969,24.487094748332108,19.722202264644277,19.557675586984367,23.685030841770867,22.362300034349435,22.762911204274737,22.244813359751706,26.039228966036717,26.129589964223893,23.39202820747237,27.933546089227768,29.723003333731963,30.722857056977443,32.0416348577493,27.00485672875107,31.943158438027268,33.49699976401724,28.899267387272175,29.295774518664707,33.62594152118112,32.248917368482516,27.856237981921527,30.084747293537085,29.579903208763874,29.177429659330826,26.160814502745822,24.31279555227672,20.880889339449475,20.500943720228342,17.23134401208049,18.416122873236684,16.588651840204083,19.03647806086978,21.31368008240071,21.91054401152058,23.350849987142812,28.7605329847428,26.888783926870435,31.1815802524391,29.793809001534957,29.79933735870179,30.04778582771125,28.916075082048224,29.78279724063356,29.910880055694392,26.039632657646305,25.01036585002136,24.345533178770566,27.829154883472295,25.0000521407688,30.044975657642425,27.239710766862267,29.94946700688211,28.447176880575963,28.85257777522131,25.47692552545147,27.32325256575261,24.348148633405565,27.357589261160157,27.258808449088946,31.99398086090352,29.21130904832309,31.235225884972703,28.897713492211327,29.908983155349404,30.842816764718474,28.513030214146745,32.65084187735503,32.02903281427155,30.834482055583383,30.333204134422317,27.537725717413874,23.48247773862371,21.647839757995982,17.778928024962198,15.298470725237818,12.061077762798606,11.156187371936312,7.961365268476084,9.54514688068428,12.24862102812017,10.329822639836518,11.760370157755117,9.566532219374505,12.702858175537393,16.435739098987327,16.977062944603357,22.882470487095716,22.24841133933134,25.231690502731546,27.186470782124342,27.851489542438127,31.648427422207117,29.375028858328932,29.9532802053488,25.27299608817927,21.980257343499815,22.143929224806776,17.521291288601724,13.998691122339498,13.408529031446216,9.599873932081694,10.415203487693784,10.279820302871611,11.705763956040627,14.385377013340953,15.817886411371198,14.806818839906073,18.05866830097805,20.980561405757847,22.124583456900215,26.482594405176634,27.841106301204384,32.49927347517073,34.916531416330045,32.53579138181103,30.8885946207245,26.840136578430467,27.833177742735916,24.517643427836873,25.04457002123149,20.75868896144917,19.92455123181498,16.35764402999313,19.93355695412728,19.960589236769742,17.264490493867534,21.886579400867813,22.33003422896287,23.32975491353709,19.73306215791337,21.278309802291854,18.4286019325405,21.127887204641834,22.798256507158587,23.977501778407447,26.978208081260163,25.148515914081884,30.35756885578137,27.67552587510762,29.706576568080386,26.304549953766614,26.731329589928837,29.432777220339947,30.33937407113396,26.81237153318453,26.323798621540263,23.227671957491673,27.003398001155567,24.935167502882745,27.434832765785742,28.45021970420481,28.645829904865295,29.336230556175003,29.145566623914355,31.105611279239074,33.07951818711036,30.161379587910478,33.43481601152607,33.83350448927969,33.0765512548406,37.873497386423324,37.36659773994775,33.63887992805478,35.965885879367626,39.74488424647756,37.005044621692704,34.479923363876175,39.243481874153005,41.885351130572886,37.57278254974279,39.09998298944277,42.777466259992316,40.904283608965414,38.69255836567721,42.65910921843168,41.00619790705413,46.4917722018494,43.98519927423452,43.538820025586894,47.28662961395263,50.16786539825636,54.95443689223916,54.525118720516815,53.85507770104695,51.08616892438847,52.108927341854866,48.41459726481076,51.00105059972649,51.32922463325253,45.22543272966126,45.66734069666661,48.514520285837634,45.48616295664465,42.09859077412768,43.001137915364986,44.14602713949323,41.226681389846654,37.186934278674165,37.4696512431815,37.45152737665779,41.37504909407506,43.15798298148019,44.13607589577993,48.03547497678458,44.19497034022097,41.2321898451722,45.36393705092066,45.214251788695144,40.53690048022876,41.9613266825768,45.22720755705295,43.79743040215466,41.8644320505661,46.69499830551565,47.852970641675306,44.71545849161688,46.237610348428994,49.80458458899231,48.017204067127004,49.225259593853686,46.4895093882046,49.479782054574656,49.977980955928345,44.286007744218914,45.43235361196218,47.898077182694216,45.68020125992843,41.95440664835422,46.97070139288885,47.347094979068075,42.08588707346893,41.68964325344659,46.76512071464888,46.2328017108285,42.42507488817211,39.11198221390819,42.544930646538056,39.98442272254261,42.70367989722288,37.83056606234895,37.28366947057136,34.768619561990505,33.8236040941834,32.910731842268156,34.07578633386181,32.34858844562409,34.442315144532046,29.874900089859384,30.422007006616994,26.43497511477352,30.832625695151684,32.140216850899805,35.75901037255954,33.580280860966454,31.040739022760842,35.47650847934537,36.248433925779466,30.799730314512818,32.10035039951827,36.96425858633726,39.364975236731986,40.650389565231954,41.59136040434798,43.356012020125355],[36.15752239555177,34.21151317985326,31.978024017647016,27.265518547550837,25.809189923895794,26.61105960902097,23.630671997160885,26.12047273604646,24.02967193117918,20.07714026416545,21.48250405139728,25.290546425624818,20.917808951191507,17.9868951810878,20.856980546712272,21.744675024213063,17.494959755528665,18.163131127876337,15.856530469298276,19.02938748251356,19.621558703163974,23.021354752236615,21.919697234060433,20.219787910896557,19.019362377328708,15.801859023296682,16.540754523847696,15.494557736971437,18.78209814023081,22.038995419525794,23.830790692381715,26.577759300267942,29.972420160794965,30.6754972543622,28.116507943361846,24.286337639612604,25.930786186707785,22.330370735931186,21.493240565980912,26.51805915187529,21.818601779680648,21.47257087090329,25.501874182053548,24.251209152043437,24.480364509178017,23.948152940490285,27.66066548069187,27.90317760297477,25.272166616956415,29.80801936823239,31.60549451190188,32.6655050469637,33.90903965795315,28.95681431527368,33.757089265295456,35.2384547071435,30.62485237704585,30.958698121256447,35.19134109990369,33.78656892686444,29.355559571075798,31.35059569842496,30.779918237054336,30.214913918986777,27.410064227109242,25.685819939820462,21.94874437797614,21.56727635616137,17.98422992543229,18.95127325453786,16.920465429335998,19.000551232011173,21.58331768537659,22.393518611829013,24.09333584779599,29.491213551480595,27.981752735775462,32.208101572314554,31.067654295762633,31.2719012099231,31.644468834881334,30.724640959309898,31.5646967732295,31.827132203928297,28.06305894424451,26.904408412296256,26.116661219677862,29.40021726959522,26.432628750009954,31.219771666018016,28.22868810300221,30.663505555520242,29.100064967385247,29.53311631282214,26.168514315469068,27.73342360624635,24.746317305216934,28.11517593016692,28.07904478358021,32.825343369188666,30.353637172439278,32.50937429763192,30.394197778043825,31.47390511570547,32.67070009049066,30.260254339503234,34.37860358573447,33.768941190028684,32.44129600081353,31.906718483398055,28.986925355002708,25.111594183767806,23.028050793018394,19.436206419174017,16.783748107485714,13.910622739416002,13.111264720950498,10.478192510761641,11.23582964765024,13.58281894627482,11.445227764929138,12.771077003956865,11.017962026057322,14.024979857519943,17.549844951519788,18.565705527043562,24.224368094793746,23.890016627483575,26.90377213677733,29.00775772809195,29.60859307558777,33.439155022134734,31.282699817903172,31.88315594334089,27.244620521635763,23.95567105521466,23.88412916275385,19.48345019053441,16.036188732212235,15.699390079637979,12.155130397879036,13.091398929321723,13.010829630138995,14.264867212187461,16.802219857851735,17.905161170557136,16.899284904722773,19.805403019043116,22.647558371108218,23.44710189427723,27.776868864932357,28.811390748754445,33.53975103551608,35.632038214963316,33.275771278313904,31.881788314628075,27.92704291672822,29.14776038230499,25.941995733786836,26.720581967477578,22.73913265705236,21.934430913002,18.670456049353056,22.158819944134386,22.191714136758605,19.47855877904914,23.940048899035297,24.22540815375025,25.149235972066794,21.638296567944032,23.232389589604452,20.55712674639211,23.287600928312976,24.93276271364693,26.006712717400287,28.85402047558733,26.874897980186358,32.10048529647943,29.59839730308854,31.656412854312453,28.4061918379917,28.725590351202747,31.47605413914911,32.395677254042845,28.913330198808996,28.475957986318708,25.400790448529627,29.08587643406955,27.0573409913347,29.55170319902201,30.488336970849243,30.714495015315624,31.32208170557198,31.09553452830113,33.000060434345784,34.86817961869176,31.90320511406067,35.11184595328042,35.367341873286335,34.623256144954624,39.3075446932617,38.7609089192237,35.0210497966455,37.25094874657654,40.97526161433375,38.15344231945668,35.56176860474164,40.300336890573945,42.901394163733194,38.46069746791822,39.93671607281573,43.58348502115201,41.637649256391526,39.335620009136825,43.296696897743566,41.73258652187155,47.234778879101825,44.815432535210846,44.475082637634834,48.20160441316636,51.18004033936929,55.88855144835312,55.56937884641058,54.986943951700916,52.32145992409102,53.42795011183995,49.80809243829289,52.438835759572996,52.69189509542966,46.596790959965766,47.15279918855121,49.98282355754978,46.883717942045394,43.5734580951685,44.55662080996264,45.58192964681624,42.617510456651765,38.75971511641056,38.93851392783343,39.067348248445484,42.9460640307482,44.605677679539276,45.62118779900141,49.44523930249933,45.63723328979699,42.6650993343788,46.66147802070035,46.48930315961783,41.819390919145235,43.1599353759455,46.316813202797505,44.81730014856691,42.86422699090641,47.6910804113839,48.751424727595214,45.50915647871516,47.08029341832732,50.67969270791939,48.96506870591451,50.284883536933364,47.66093999374222,50.69003759266134,51.059016259988795,45.38214499062218,46.66772514800718,49.056327637907536,46.77095276097865,43.174346293316646,48.213932155370884,48.45243831669469,43.195527749898496,42.94890162114066,47.95868768995057,47.30967329200542,43.49671018087075,40.11441101605684,43.473453016460276,40.79416468575039,43.490082056668406,38.59907757622843,38.18327103929379,35.58255882537194,34.562273495304574,33.82571883596314,35.03397205705138,33.48535790022154,35.6521873188151,31.17242227194782,31.880832540643112,27.86516408272823,32.033649021991096,33.44617731589837,36.95898762910353,34.73143212682462,32.170145138516745,36.4337123382015,37.12991065333124,31.696838009638984,32.841309663198274,37.65455425171225,39.97752704408735,41.2518962825776,42.19543866383041,43.92298954123027]],"stdvs":[[0.6656678013709417,0.7152243872096576,0.7422100214422173,0.7582630301207024,0.7345279061082735,0.6859132157338329,0.6700385306830734,0.6787125689487402,0.7145924944009006,0.7664829251395038,0.8116795830248008,0.8175644105492711,0.8782275621726767,0.8349031820328289,0.8733138036976872,0.9128126920793119,0.9489886502007823,0.9524290323844717,0.9623819764459721,1.0092552544383737,1.072388557016198,0.9989493384388369,1.3968273613411883,1.415895070670908,1.401667419637017,1.0798169510210485,1.0202456336258645,0.9440502507975214,0.9227550957133013,0.894285019402199,0.9323809033071051,0.8948373893402506,0.9096414090086791,0.9130605203437224,0.9117274994721911,0.947153162743922,0.8878881906665286,0.9620232212653361,0.9110691521176311,0.9054197843131195,0.9935764552576893,1.004255702223893,0.9608805587589295,1.0797313777289579,1.2397285877008204,1.7639743802343042,1.9035008867288525,1.441407536782649,2.110500770455373,2.8821732347821074,1.444090669464604,2.0935555057609276,1.0590646476863206,1.0156482324712042,1.135053912803439,1.047758473594469,1.090984281662432,0.9902985285602156,0.9884319423982001,1.543340055182472,1.0948261547871467,1.0560968119525116,1.0598892112400875,1.1170999555520318,1.0494798981222926,1.0264412182616878,1.1163308162397239,1.003760024341416,1.010192136100059,0.9912181401284151,1.2693548660113274,1.4843434829422573,1.1019878909836103,1.261994013289469,1.066717849507284,1.1647736662351436,1.0142797347228987,0.9776385865703682,0.9571237175170448,0.9899672043807948,0.9521319090272471,0.9270694384529493,1.034697448864819,1.3682666544846889,1.2353333638970154,0.9208994631447764,0.935046264940906,0.9294877215601476,0.988437248381905,0.9881612225524087,0.9290332088828704,1.055583700966704,0.9973957665461407,0.9173185133010611,0.8950813390126104,0.9123220574089405,0.9559350340245887,0.8885221221529279,0.8484305394705454,0.8172094071291526,0.8461782583198771,0.7899694543577409,0.8401886698997371,0.7846449133817092,1.254595677613193,0.814268965207118,0.8737686482327232,0.8755198658891539,0.7889236577906862,0.808978210123777,0.7186631550814185,0.7167364099374117,0.6986078046502173,0.7782183234818173,0.8765942212695306,0.9232771093987033,0.9363155911140066,0.9831976653886206,1.0558231599176673,1.0008519832313123,0.9997105644645042,0.9688877027402129,0.9023849956670476,0.8521743060869673,0.7465891343991774,0.6978151807286072,0.7231436342511067,0.7331002404832847,0.7830118255217073,0.776479265556798,0.8381367902085101,0.8472281347349805,0.8491706929142585,0.6889832970113821,0.7345310323356308,0.7945069135170251,0.7073255027442551,0.4938417332599202,0.8279797742762818,0.9000901738691066,0.8448255345043271,1.1633302245712953,1.0107152449090837,0.9803174596051838,0.91309473220919,0.8959770740989988,0.888235131355971,0.8258369289497117,0.7961457993870806,0.7774820699652665,0.7165953675035551,0.7226848847969226,0.8282007729532279,0.9232991807119356,0.7935104298705479,0.7229748103971199,0.7498301318026173,0.7716564863569106,0.7947015419607325,0.7586218268788819,0.7998685735590855,0.8770696316635598,0.8726034361728263,0.9725391107663431,0.9230538665242354,0.8469215963709883,1.0026419641631379,1.2160381457875236,1.0892849802273425,1.0850090880202612,1.0913246933447007,0.7518639875229608,0.802496484613186,0.6950599241554701,0.7439493617171794,0.738728146678076,0.8435519376956548,0.7861316892221745,0.7712342349597913,0.6614133684317075,0.8204536165608842,0.7013799630495982,0.7144010437577132,0.6863101990995112,0.6719519374181975,0.7769680922061364,0.8871643732360015,1.383253416919173,2.697134583247321,1.3058312512975248,2.2046047489106453,2.510834913930453,1.8669138408494181,1.438599679906108,1.120507632082987,1.1874059818216867,1.084874873910028,1.0098435999502344,1.0180292590214741,0.905313737837676,0.9759478459659222,0.8831011899516729,0.908147497324166,1.046980679923874,1.0074750576527347,1.0835609265943975,1.2257209313600697,1.1673509132222561,1.118389302835758,1.2741424448083014,1.299866253664099,1.263915316651794,1.3424221318058933,1.478946747462934,1.4098989415323357,1.352004545422133,1.361115301991256,1.375359427280005,1.2377186209822624,1.2300615070423095,1.1837020639716183,1.4164357958826097,1.20907497826941,1.4389848315360871,1.2700768661340924,1.1064299879280113,1.040713865824213,1.1936713586898138,1.1435012958636845,1.1511233743191684,1.039872782884149,1.320203469901952,1.2169785291732849,1.1293421947059843,1.358225131791934,1.4498644368470315,1.3482460507116143,1.3201990299835897,1.091937238018495,0.9616136542490127,0.9630374639599243,0.9988284320434623,1.0757016598497755,1.0499488385973241,1.1889210964977344,0.9714376424094243,1.1074232212319415,1.0583624373086207,0.9499795864378027,0.9678808563903005,1.0208025929201139,1.1070542953024525,1.1116545619586151,1.1086413672660442,1.1120626316317859,1.3090105942264763,1.227005729105575,1.1279530428755074,1.11641588015744,1.027944028430058,0.9938985883817439,1.0839527992274305,1.0518641954396633,1.0647033256491243,1.0645366866292516,1.1484103976419773,1.148360708044917,1.1417272004626946,1.2335412192171262,1.2230306580293846,1.1949211378873748,1.2687753358294456,1.3685007317025766,1.4292499878026323,1.4356930055172101,1.4743771279865154,2.0037067787863,2.0837466712252333,1.5857016137983484,1.4651012788101987,1.3445078216820656,1.4152811165784385,1.5402205848391242,1.4473357825518873,1.4728102912215841,1.3422685500418499,1.1853030949291914,1.217623475684209,0.9654578710814071,0.8817358739950365,1.6284988617440936,0.8173725965231763,0.8058016770773849,1.0948399143191203,1.5137547223871632,1.8023680491240617,1.217317455947401,0.9882142952360552,0.7565773061651089,0.8840436487226303,1.2049507653852751,1.718690503367454,2.577135880671152,2.946879167882172],[0.636272647052908,0.6886239262099584,0.7107386567696908,0.6937641192378521,0.6713749942943927,0.511263076562366,0.4872490360746192,0.4956336191209191,0.5331547964807647,0.5875423418534673,0.6230168581118319,0.6310008702918208,0.6739642089523381,0.6435817340123983,0.7190489732191706,0.7457617796620629,0.7691033169121715,0.8020705424033109,0.8484174312064039,0.8822411637036544,0.9331203871226985,0.875494269953073,1.2681544716998017,1.2812075900338484,1.2849391523207192,0.9623221533514862,0.8988674115352039,0.8354125421634869,0.8198993356780664,0.7659875399852896,0.8052840564395113,0.7680904992776767,0.7762130468253264,0.7984062243603998,0.7984027400713978,0.8348217903741598,0.8622529254057751,0.9579366943061147,0.8878012349199481,0.9444480290553552,0.9685054706811882,0.8964223904102767,0.9059962550950311,0.968010899564199,1.1404419569708395,1.6676446814799615,1.7854050989234205,1.304463098822525,2.034488901981674,2.8013633447003516,1.3850073463170067,1.9663025056128924,1.0452926886944331,1.0223906806861023,1.2513997284843381,1.0071048767739892,1.014440232318627,0.9493635022813552,0.936487437500457,1.4240164942411022,1.0157130325157475,0.981438259071894,0.9802379517918896,0.9513098066830157,0.9312377893868975,0.9692930070853446,0.9680785225012087,0.8525333567445238,0.8840387700889648,0.8248760147463504,1.075861132370567,1.3203792616871282,0.9004189945455349,1.1048293839668515,0.8830071274347443,1.048578496407701,0.8789167655755803,0.8572434781259758,0.8647774092874672,0.9268595967601873,0.8866364897786192,0.9009523272363266,0.9232004578716414,1.1320236630945189,1.013078558743283,0.8339595444965113,0.8663215801059733,0.8494693570868683,0.8643416695283193,0.8804449152569976,0.8179457430390287,0.9713563657089999,0.9120134293002545,0.7913313954400962,0.775907665215112,0.7719477186574374,0.8550848904441277,0.7486332902472743,0.6862701083179875,0.6859371326641096,0.671323210025019,0.6471025206918898,0.6925960820209411,0.6878930028589574,1.0887521768192019,0.7096198601950255,0.7395986661917104,0.7398986526822952,0.6281724706383389,0.6195131354739202,0.6302023354669459,0.5113548538547421,0.5100080738592342,0.5712859463151275,0.6726505612445628,0.6999108511443396,0.7606150160681905,0.8046663049161972,0.8671743166366949,0.7915735858746599,0.7540236523398117,0.7111023432259976,0.6740288821963708,0.6143801512119389,0.5251947890387823,0.5007579695925265,0.6367832809877373,0.6033828809650872,0.646284746263815,0.5853747666000202,0.6404601413707766,0.6425359320410338,0.6685620952640998,0.5641011172606702,0.5882205710957542,0.6417850876422939,0.5602132077438171,0.515958818674188,0.5747598875425574,0.7990846286229206,0.8965278317924739,1.0105775449414034,0.9082645341979884,0.8845423625768732,0.8915568409820466,0.834549569091303,0.7906575013710003,0.7078373181697107,0.6203255577019733,0.5836185907421507,0.5346607451425446,0.5284321183459609,0.656079844430233,0.8231213338768996,0.7014023100652873,0.5768943896922312,0.599246762355163,0.5841857012457551,0.6336740093652441,0.639729709461523,0.6491256128502974,0.7710546902139128,0.7935367531231224,0.8056502182387247,0.8436093799108199,0.799511606359912,1.070190992084332,1.4308076199236621,1.53500945891926,1.4957886529126656,1.3521008063131255,0.7236923048116014,0.7388564687014766,0.7038368588906511,0.7069754979452004,0.6809379571529001,0.721956281920494,0.7166959695705422,0.7581307677596127,0.6980048895637495,0.7398853004327466,0.6741309718987251,0.7277636114319772,0.7464648449194848,0.7971754502224623,0.8365465499855536,0.8947407732515803,1.3054183749259132,2.4586760506728025,1.1702497183720433,2.1210521751687192,2.2702199249192776,1.7566121076161154,1.3903382934955846,0.9706871716531381,0.9665935663868173,0.8559609916633764,0.8019816239375124,0.8399743350018317,0.7417591572337361,0.8091634920859075,0.741288795959351,0.7617552278260172,0.9203289446891274,0.8811086977601696,0.9859567398297497,1.14673414091861,1.0763232260744031,1.0315651716568954,1.2205465555233206,1.2519784783715244,1.2131033703107184,1.2958385529783092,1.4361765143115526,1.3804814041824123,1.3126434452532125,1.313495177642905,1.3140090368748962,1.153307173146593,1.140366159281489,1.067038038786096,1.3226836140479088,1.1094896614333392,1.3562548302063269,1.1267640107384498,0.9622841119506994,0.8927942298177097,1.0351805881655114,0.9969812528936877,1.0103842554519313,0.890607658719918,1.1543090443212458,1.0647538986650746,0.9642711669647489,1.162565269051118,1.30962692604179,1.2381070777303176,1.212741460238804,0.9242889805321547,0.7785235094553433,0.7929121701541609,0.8383384830001959,0.9790653694210384,0.9055656555911369,1.126539610672759,0.8926908025991503,0.9426683479876161,0.9091965050528286,0.8414865983243338,0.8483660388375782,0.918238591188918,1.0259722299544896,1.026440634933675,1.0092296678972463,1.0309829543687385,1.254986537137533,1.1568919509202444,1.0516753905150131,1.0303673087792342,0.9245027276174378,0.8875042302886311,0.9551470768796234,0.9363047372999929,0.958575325842283,0.9313421100327991,1.016804158293222,1.0354843756882304,1.0134667732881184,1.0875532530786558,1.1032070975822001,1.0881153269244057,1.1437951899739878,1.2251875488554853,1.3306083818276415,1.349578483019733,1.4085850934032178,1.9302646039670042,2.0342748239806143,1.5396088382021955,1.435946924093229,1.2953529591819004,1.3813416699230217,1.5287977997905444,1.4189793428278221,1.442127391628219,1.287302918607275,1.099953333490837,1.1149042274849932,0.814148769689668,0.7380822770941327,1.5745049415934513,0.7145103333802983,0.7104884742227788,1.0053131455265283,1.3146804266170289,1.6952711561441447,1.043764283127719,0.8823535039315048,0.6293282902422552,0.8521474323557299,1.0736145242798207,1.567054411476418,2.4001261403812126,2.7276137265841722],[0.7809747236814955,0.8085195860119451,0.8780566938436423,0.7408302276766491,0.6531598917903356,0.5960320440905729,0.49317439921126954,0.4566212238072469,0.49625436886761964,0.4540279187350306,0.472099130803177,0.4947417195854511,0.48454001800678437,0.47715359509474636,0.5340795429574083,0.5495310952059606,0.5305329869137703,0.5792153417971985,0.6541347029840109,0.673449472407429,0.7669565883337697,0.7008055386130497,1.1450892052566115,1.1818959121654884,1.2259070971537147,0.8274879353499028,0.7221602329287438,0.6461586039359808,0.6231367545583383,0.5524136329210553,0.5796412439245194,0.5525428863893342,0.5513100278415574,0.5713957431643928,0.5781029056432307,0.608341285999581,0.6321533627535558,0.749560314119442,0.704503644893887,0.8282431295155251,0.8189082902521463,0.7217504803867666,0.7563641792785815,0.8226259648051379,1.0154206477528374,1.5712088174316798,1.688372804297366,1.204041360143849,1.9725454274217207,2.7143276772117297,1.2780887483549785,1.8414046191186246,0.9553760670076956,0.9210837474481517,1.1810917764457867,0.8720735088308793,0.86807452887171,0.7963472747744823,0.7949137371044763,1.3006331424371613,0.8697640614489639,0.8241916722900445,0.8470243648881133,0.7856490094038763,0.7549511831194448,0.8182973438455975,0.8094545141463609,0.6267791697841351,0.67622750554816,0.653059125743916,0.9114821591799634,1.1573563610974653,0.7386251853287777,0.8581457605009368,0.7144140470772408,0.92418799057068,0.6545387393151526,0.612525392178294,0.6313400765243299,0.7258165263468085,0.7357419377093486,0.7801704523905711,0.8265139967319142,0.9446390211652653,0.8592525788943713,0.663490384804777,0.7065441176802972,0.6600246828263482,0.6431579768438387,0.65883196479256,0.5705583473091188,0.6965949501889033,0.6502696987266172,0.5778105014066653,0.5754811102060399,0.6070401973982249,0.7189963329329403,0.5415325553370015,0.48690871630136695,0.5608896006986602,0.5071181763953683,0.5067387979185246,0.5359994918941767,0.5727318247618348,0.8490406206691714,0.6648279282185878,0.6728835859080978,0.7195730809485074,0.5737247224746993,0.6103363923012619,0.5890645293358397,0.4805579532120146,0.4205388355430505,0.41511878359106436,0.47578369147640326,0.5167359300857305,0.6129999436492486,0.6692674729262319,0.712887847566098,0.5921902717056748,0.5543194619260264,0.49829069864417386,0.5041026834045683,0.4395613022858567,0.40943197556137445,0.41543915478619226,0.6723096965028411,0.48855332775873617,0.5388297478128594,0.5284654293703258,0.603050569290576,0.6215801761776529,0.7580291432863687,0.6277519132479582,0.6716868073682636,0.6403636630255342,0.7209739550109333,0.7603628796280157,0.5169822954477675,0.6248643775146719,0.824040952723721,0.9088910929388252,0.7687756087616389,0.7221793989567554,0.7147182493154502,0.6423053523870547,0.6158831670449815,0.5087047784063,0.4247261279884529,0.4655113286543265,0.49762578629028204,0.4808873087621852,0.6980218321558825,1.0132827965912639,0.7350850721228868,0.5090411502584199,0.4821609726220877,0.44389756671638875,0.48640851477548164,0.566439170198619,0.5382713636211137,0.6029533399593707,0.614395176117446,0.6048989586290857,0.6727440996498668,0.6579671189361584,1.053024382386116,1.5142902252423582,1.7659811871394056,1.546693915360814,1.400046309419619,0.6547436653851524,0.6211606555142531,0.6812407096540438,0.6455087408854407,0.5999198195832018,0.5712033742160775,0.640995475446089,0.6799871393522581,0.7167520607809005,0.6882720575941326,0.6798391535384475,0.8012098538016672,0.8879821206815078,0.942968532487276,0.8597668963113867,0.8107979061234037,1.2076933508277117,2.3505741110371745,1.1743246381453478,2.0811064957580556,2.112603340135992,1.7669566327487056,1.497946466567779,1.1135210698687057,1.0836770357766503,0.9539577051381039,0.8099632961312985,0.8158973465411355,0.692870892676145,0.7276019067299785,0.6512584796178814,0.6224328089524545,0.7771657650655166,0.7625305543790405,0.8455136976377365,1.0034838549435317,0.9525370216396478,0.9131241449345769,1.135949858625882,1.1604407696161219,1.1352335003391292,1.2526801895817434,1.3805749043125795,1.3483268277397606,1.2558660801976655,1.2360028315694893,1.1820478064905253,1.0371238241757488,1.0234134275551652,0.9832169164964704,1.249605323934507,1.0754477733142171,1.2862873145290972,1.0426987077643781,0.8633954982785843,0.7701278879155821,0.9860377666358319,0.990109886749238,0.8990667106791445,0.9358713414064989,1.2689859265799055,1.1731830332262914,1.0235357473095708,1.202156749538542,1.370314105114561,1.3087450356059611,1.2921666529559224,0.937286993537875,0.7629627051821629,0.7746416755920104,0.7500920128357548,0.9111420568792363,0.8093113017771155,1.0645456818632042,0.8881319188642584,0.8929627323072719,0.8499899154790571,0.7620549539818421,0.7255586938034106,0.8043212811476701,0.9270360456614142,0.9266730542361707,0.9101756685685887,0.9445625113808548,1.202979098860558,1.0804564171623763,0.9748574668283432,0.9299760511196031,0.8322880843012557,0.7971646055255083,0.8661704364540506,0.853434953535294,0.8552539692276393,0.8475906151952657,0.9373249537527222,0.9381695450375293,0.9424113247664752,1.0537056214613805,1.1697021435809911,1.0559769094798799,1.1152260370551774,1.1856375946886493,1.2980518687345348,1.2691851983505933,1.2373472486444872,1.7071707566734693,1.8369189669407526,1.3729659820749394,1.3431482057233337,1.1769506871591617,1.292679160078172,1.4604364657253528,1.2864027416628887,1.2897955020537286,1.1698681507861197,0.9701234964318509,0.899396085638513,0.658094331637502,0.5763027363477464,1.4156171785560527,0.7305416517363555,0.6881728329052866,1.0935377765678735,0.9277586446624125,1.4088440140575547,0.7674920488877709,0.9432275172494714,0.6354148430278181,0.9842728163515415,0.8933610420779337,1.3799711921612547,2.2250017084682474,2.510589273679641],[0.4994853232806351,0.5404414596733521,0.6255212073389946,0.6038170906761168,0.43729560947498797,0.44762453967745625,0.3432202503536674,0.3241413937679725,0.34358486370498026,0.3017649330767205,0.3103840967855069,0.40084007614207895,0.34966868680315355,0.3650775852403,0.3736274709560751,0.37100818213320186,0.3755091401477014,0.37131382056422574,0.44050021945197904,0.3545683257048402,0.3806357322193157,0.400862336549456,0.7784765940527748,0.8019901614793694,0.857415369799989,0.43282613845261625,0.37712538318418676,0.33721418962766037,0.39719580198775134,0.33295433243796546,0.37914225857258127,0.36777905303952213,0.3743151132079714,0.3946253358957763,0.3927136442515171,0.3702438389768202,0.44382525039471393,0.4701761806365657,0.44728489509584485,0.5922777953278519,0.5368290391507204,0.4485335154555401,0.5148334145086361,0.5608455799565335,0.8077177857320044,1.4624472825238877,1.478353504376547,1.0528031542734722,1.9516066711808628,2.6080188535562026,1.0989720392708515,1.697111784536925,0.8158911663033591,0.7259687303859181,1.0473838908316764,0.6671170727392023,0.6382304877643338,0.5808563926351625,0.5881998627626109,0.9962119290253101,0.6164417019652083,0.6076902984955631,0.6556679083653577,0.48795128880170413,0.48438252537421767,0.5326090549692867,0.4839276210493253,0.369080347397809,0.5610846100892187,0.5235503630858853,0.8205104413866504,1.0112675408571314,0.6332717095949517,0.6727980065427752,0.47212134543225304,0.7189325590557873,0.41515248439808305,0.3855044695253215,0.4201704257305798,0.48721852972505514,0.5454812301918641,0.6112288908177823,0.726587683864704,0.7636256573466995,0.6545250936356566,0.48339462674044964,0.4910539297844309,0.49018103749103226,0.38699798960637755,0.4810124859606452,0.3784973724411928,0.5557848455745643,0.5261105457162224,0.4138769084328472,0.41142598509319656,0.4466401344110252,0.5735739320017379,0.3937023566462979,0.3459700421682373,0.4718085017114233,0.3614162512407402,0.4729728966881239,0.43037793706730587,0.49605357090895374,0.6706893713846062,0.6559511759711357,0.6370424557417785,0.6256300045135197,0.5179169775858131,0.5683328696745414,0.49846141099047503,0.44347653970530104,0.294673184081353,0.2688898161597353,0.33153241495359426,0.34873889864767216,0.42773483663294404,0.41372487737538316,0.45671147890203667,0.42251032643006636,0.45271048365194394,0.49663439523618735,0.5532640804553981,0.46017769519283974,0.3573086375197124,0.2586820763126389,0.5082036603970854,0.40643165312225815,0.49766811738366884,0.4874851001362944,0.5814337537982748,0.5790203684083689,0.6296063176103891,0.5503191894168947,0.5678165231246385,0.5432123499413327,0.6644707490191358,0.4350991861650431,0.40593559599501944,0.2971008883858314,0.4046332383281077,0.4816747889803924,0.3519671028681438,0.3513722903045371,0.3867252901004503,0.3692453460531411,0.3771710460787762,0.31350787308771727,0.304580006245376,0.34075649571770206,0.4041487431905273,0.3605452656784589,0.6416867478837082,0.9224540824897942,0.6202415424642344,0.4136887156764508,0.3698726572735092,0.36115636029388704,0.3892065460869477,0.48846606900899336,0.43267458426048344,0.4166543625918968,0.3726447415680896,0.390712178947373,0.6665104160745549,0.5551217800286241,0.984360446091343,1.3636082491185049,1.6089330559185087,1.5158692114889136,1.3715786312414278,0.6627150118537873,0.5804691323866038,0.5705265439206019,0.5220276689945224,0.5134832341886253,0.4662826424248052,0.6085475001565508,0.5592529605988592,0.6801979368929916,0.572892559124186,0.6425061106284639,0.785296933828232,0.8580540953649399,0.889773589856372,0.7503118832673877,0.5882434318032971,0.9615198498999425,2.069678781021184,1.223721790750238,1.631991593876272,1.713402672901817,1.3824374480151922,1.1902938427631202,0.8630845105676392,0.8738169116394023,0.9404123653814965,0.7114272146610394,0.7005346172490339,0.6486345165537961,0.5164646942180922,0.4271283005788008,0.35777349836813643,0.38695081340941795,0.34489533748109735,0.44754822391033633,0.5195462059022704,0.4420194826915972,0.496697255755374,0.7217952501180749,0.6941414160005177,0.6723465091913253,0.8677580935567418,0.9851718088588777,0.8633504694314994,0.7414130594780328,0.7918955406605306,0.6770246607694287,0.5352296367409111,0.5078104169796815,0.5549641282586886,1.0168011597133761,0.8379341366095318,0.9421668503030214,0.6551347487006656,0.5941125801632705,0.5689082833355652,0.7941940300195188,0.6994523348025345,0.6570036369076455,0.7416057383768944,1.041248374768329,0.9246608177346575,0.8155696890551615,1.141227866817125,1.095463980065654,1.0172525573265798,1.173687568263495,0.7607638059545752,0.63972464081423,0.6275864189353486,0.5517071722895797,0.8566006878323272,0.7694846520467922,1.10376950216065,0.8073718173572094,0.8114726743180235,0.8660271077810113,0.6891255473494354,0.451345692149683,0.5802014814466807,0.7311286649893388,0.6367918302156148,0.5766473579252561,0.6686192822003986,0.966037800532582,0.7038897202005393,0.5802065012355161,0.48314606789843634,0.40684013870801355,0.4237419211099123,0.5006144534845335,0.3760630697907023,0.36170152642154957,0.4473563126759518,0.49719643840709804,0.5097094175223216,0.5363935494128342,0.6859204122914558,0.8166189289529607,0.7099019809143067,0.818837047110733,0.9117856039532576,0.9699926865736359,0.8922525065744379,0.795857951985669,1.2151765807727437,1.4587845640740826,0.886400322136178,0.8187209147855623,0.6769779992129519,0.8342584097153016,0.9783402845077404,0.7872725205488372,0.8578674018569542,0.94210968258315,0.6299854742104668,0.45709517488249646,0.4460223471197117,0.20657309850157635,1.096253583190042,0.6212966899391971,0.5747822185063048,0.9620510978447327,0.870112587247035,1.2879433849013437,0.70599001938267,0.7861764070132113,0.46720143966513167,0.8637849215792881,1.0352152179997918,1.5338723558108371,2.3584152230035187,2.5840941110859625],[0.6809813686014135,0.7101062782331602,0.8981868173604688,0.7518825090668779,0.5085420360483969,0.6351656659059577,0.5514668911221873,0.5474291826463544,0.5514459613442303,0.44281691202301493,0.4535054006132785,0.5080984782341267,0.43914118117079476,0.40035367774573105,0.4330950533085719,0.44889197571932865,0.4384798601827719,0.42895056164842876,0.5024174769909084,0.48000382226127364,0.5044238529717243,0.480866078463671,0.8137426318287376,0.8467316076876341,0.9509934570646014,0.5741015473367707,0.49823960926510696,0.44960400213937135,0.49286873675354836,0.44606183848575065,0.452766830521956,0.48102023583334896,0.4671188545411558,0.4634230581528892,0.46818893444472465,0.44822491733812236,0.5003297233984016,0.5774035113176345,0.5169419670783786,0.6237936805709505,0.6080959341796818,0.53093886106141,0.5715311249751215,0.6403292203387819,0.8328917543228755,1.4202542822921076,1.4398697620182632,1.0447162589417116,1.9564969840494102,2.583336891994523,1.1085654521323367,1.7228749191725343,0.7917525298439281,0.7430934214465877,1.0610721370816594,0.6572211169977297,0.6632599054861925,0.6307641514128766,0.6263949756896515,1.0800813770026445,0.6946656900891491,0.6526469002382489,0.720317729997856,0.5979861882364159,0.5743856384800295,0.6106088237716772,0.6298090460771456,0.46229037989771304,0.6117776084644938,0.5882688376794996,0.8587661385223417,1.086393169039928,0.7137703016125106,0.76012064921327,0.5863100992368173,0.8850193575832974,0.49338681922635774,0.445892828878178,0.4475177651611638,0.5334141924508649,0.599585697415851,0.6444350950924883,0.7900023603377707,0.7338396498998775,0.7001893760298733,0.5374086896780877,0.553214466596017,0.5230583581524246,0.4584491630186958,0.5404213844271022,0.43157601165284687,0.6166344125831028,0.5522620408763467,0.48420852541699244,0.49424283678246905,0.5380542500726306,0.6479873707531202,0.49168148048744753,0.4631689026685496,0.6214999102649952,0.4971658630141709,0.553592912943605,0.5008532332173068,0.5515401435461916,0.6176447813390202,0.6603393729876146,0.6702633957789293,0.6108041470511246,0.5739435536413542,0.6565514854033528,0.5558980760996782,0.4985625141851725,0.46463002832565625,0.4144843557451152,0.40754281042679025,0.40614641259906215,0.46356282480047034,0.49064629432521567,0.5556869514921896,0.45214387743261353,0.48276322851633224,0.43202896235685556,0.4982981229398484,0.40292189868411854,0.3865529253086066,0.3795590411780854,0.5426125679425973,0.46508890793062385,0.5040020833512744,0.5143275361060698,0.6052100581096238,0.6156440456847676,0.6262498939625184,0.5387861579457355,0.5352428813750713,0.5506638785144335,0.7633084785668508,0.583323635708142,0.4174827864546523,0.3876394917346411,0.6236936016035705,0.6561136906975447,0.561542284081814,0.50904458656421,0.5017582937244924,0.47254879105591424,0.4733131656101592,0.4309985671942193,0.4183446257228353,0.492729787826865,0.5359428718294289,0.5757317957747875,0.7503382080473794,1.1492535895156881,0.83956119251371,0.5691119394896912,0.5000047817110054,0.4979204081014207,0.47550659646994176,0.514023401696064,0.4906334618076533,0.48051451275627954,0.43098355946182065,0.45932935517742157,0.5966658714288539,0.5453266754744165,1.0113828984284898,1.4533235627317054,1.7923776466310395,1.5874365000381994,1.450021104598195,0.7029123554194441,0.6230712693358877,0.5809979598149986,0.5262890753887054,0.5387076000451436,0.5090449058820536,0.6421823341881921,0.5549887923267568,0.6834709669393457,0.5822809685763007,0.6285629431718561,0.7270368293528494,0.8013213323148185,0.8361509187520298,0.7248622649852959,0.6188922120738465,0.9993105047254229,2.2232542210320196,1.1620521373139252,1.75196423931508,1.7708263988294213,1.4251047863153887,1.2150039051905785,0.8889633161736896,0.954428840936077,0.9510522928328281,0.8298095382893382,0.8766508962411055,0.7785905360860393,0.6997651777222824,0.5597182967152438,0.5623390063469316,0.6639070606806802,0.5963616558188334,0.6565931330931918,0.6889181681832554,0.6842800118229354,0.7360784554393277,0.921965930419204,0.8934371740122053,0.9144729482140568,1.1142181159055224,1.1719183405825504,1.1191001097803686,0.9261536018435784,1.0210186153653755,0.9192067834311829,0.8074888019348375,0.7688760365191768,0.8222255616149581,1.2088196245215297,0.9900874822588308,1.016070137345111,0.8013997101926231,0.7665756648411282,0.7602625020525542,0.9177020813589134,0.8952702963802986,0.8573805942172474,0.8981544173900617,1.1900323351565476,1.215605838724205,1.0370504812679686,1.2046628856263493,1.3720669884223902,1.288389177013698,1.351560121034948,0.9740917612263857,0.7319900648770711,0.7251579626967315,0.6750768417316119,0.8098541079575476,0.8145114754361026,1.0844781159972345,0.8445773880655639,0.9295952761583853,0.9811352045880561,0.8808929697077132,0.6484774017864072,0.8034757054312416,0.9533986637076792,0.8782001863055405,0.8241982571805835,0.9498284209772486,1.1952021917905502,0.9695891952536237,0.870469594611592,0.7597644624647061,0.6370786118641962,0.612483315341278,0.6490354350297285,0.6271644899368076,0.6116964105813737,0.6466897329542683,0.732292640496083,0.7591200483410694,0.7950668033684392,0.9161707556824515,1.128049574131127,0.9956240034724259,1.1075038570440268,1.176615721905068,1.257614122313067,1.1910071123005612,1.01112364128239,1.2877005972032642,1.5382441170884151,1.0693043678032454,0.9893584443651908,0.8778455678094175,0.8765169908770166,1.0195321560445842,0.9090611973607727,1.146618298826993,1.3910510015344195,0.9648533438952778,0.7186196555441909,0.6967492338461562,0.5431797144045958,1.1195367718180957,0.9400860380417637,0.8060440803630486,1.372652939337999,0.7954668533120364,1.1580304664240217,0.7531301125614764,1.1901550057541115,0.6625156095415687,1.0647186746812456,1.048591622549869,1.6981167852049732,2.3076343558037413,2.490466685455461],[0.4049598077786989,0.4470893982031101,0.6418665399876612,0.6404314571228644,0.5089716822513877,0.3966314686357467,0.3460469897613861,0.3528191149774586,0.39165559230042857,0.3411852441542506,0.35555555096717056,0.4076118654800706,0.3787283137795505,0.3406005454290608,0.4001184738329718,0.3887229628995507,0.3851982123043757,0.36661763109344414,0.435653092464958,0.3849585557091135,0.4419008561147461,0.4411571339393816,0.6528550533448868,0.7083172845582119,0.7434419042895268,0.44451333264786874,0.4079183389757267,0.35559027253059644,0.4081165968049137,0.3660739603158904,0.4105903496411227,0.39741900555900056,0.373896203155672,0.39547421370720215,0.38726092524840283,0.3790251725749848,0.41818811226536,0.45750159116765454,0.39914798643811766,0.4611762806253198,0.6254026904981296,0.44769852996844434,0.44497045395153223,0.6047383399056329,0.8229443906711437,1.4061234176548079,1.348385928179085,0.9839678197180564,2.0132373753137935,2.4156286805428295,0.99665238869818,1.8048367871481406,0.6977907062987588,0.6508252970746881,0.9294394576455506,0.556507320312364,0.5806874957913437,0.5145022456617877,0.5113109410973811,1.0265527786488913,0.6228472833292964,0.6310796814702723,0.6881958922354292,0.536868843764659,0.5169970263121293,0.5875382514681207,0.5786193331010638,0.40178157859265423,0.5685950146285266,0.5413312534043453,0.830658653393588,1.0535521566761223,0.6666445689484192,0.7452954598630156,0.5232879560720801,0.8884994091441654,0.4300309767753013,0.39217069089382217,0.3903353557711943,0.40991850007304353,0.47285809528988765,0.5119446908937831,0.6914681774966703,0.6613197525937835,0.7045284131806158,0.43034904276585484,0.43675811373671997,0.4622169542444751,0.39017982831893316,0.46907962772718725,0.3939256434956754,0.6162868213118157,0.5581556940684161,0.43047409695440764,0.4383607021802288,0.5004420367939026,0.624999116142761,0.4235027434546734,0.37547336854895413,0.4511734230456753,0.3811884777384854,0.4520925562703563,0.4045762775481498,0.3984226695252935,0.6988038361395151,0.4964274691509996,0.4963165800123643,0.5303403545818578,0.4128549244046471,0.5317249466317164,0.2955815805760737,0.30261756992062894,0.27058176965823166,0.2634904934355945,0.3506931291017971,0.3470010789223893,0.42787562787949296,0.3614379382062425,0.49151479260388986,0.3828178162818855,0.3900105107504902,0.40176775663818104,0.391584318614592,0.302864069039427,0.2556549430625362,0.23716486253348265,0.29290356258807976,0.3076242870651967,0.3153437858670856,0.4977914305585687,0.4194070715605384,0.4162706249685814,0.49001743200530384,0.5263659189277706,0.5061698645705657,0.6253282214991474,0.7192496096558199,0.4972912022595621,0.46638633981839417,0.5078739842407926,0.5718156408339118,0.5798727254580879,0.4451996612955912,0.38273007173356904,0.3725760864667346,0.3723396612265305,0.3534297731912196,0.353752184569868,0.30243839545435114,0.3741170828876819,0.3713617742376818,0.44593165613107894,0.5754162141163492,1.0105918181939977,0.7828651828880149,0.4161406688787126,0.3772434758102454,0.33665971029320607,0.377490464201195,0.386779568553015,0.36968002529573746,0.3788028232395902,0.3522799553277968,0.4195836476942374,0.5347546111981377,0.5985334708616086,0.8779765184694756,1.214602613329874,1.4930403436700384,1.4981917973860812,1.414462553997758,0.8317159334675025,0.688824876717005,0.4724311781693766,0.4112372952299897,0.4042495941285719,0.42407517944573003,0.5118035337596901,0.4643557660044617,0.42838267930121593,0.5380142486138454,0.42883973731362507,0.5243436310997827,0.5767133793690687,0.5989387935193317,0.589005380053654,0.5171186872855041,0.916451523830765,2.455948010280688,1.094180585468966,1.9094448384419527,2.2130730375572156,1.546982984996641,1.1980601516259095,0.763663301044744,0.7107812781744298,0.7179039395507676,0.5555530674657932,0.5712320733808703,0.525536093550533,0.47435509305015183,0.4582997020370648,0.4412810037425306,0.5248914348132521,0.5246397164306593,0.6809484102480193,0.695579443415897,0.6467264850015348,0.7653682609014475,0.8900749472295001,0.8354765948570716,0.8600316833165224,1.0260238261740628,1.0582370173768436,0.9991168386223174,0.8508810452950666,0.9926906543472733,0.8431142525225764,0.7250066125497862,0.7172879986882449,0.6668860540937257,1.112550547918695,0.8103770518967867,1.215067671933526,0.7758604320714257,0.7018706702987794,0.6973321799364198,0.6994529272536488,0.6184743427081355,0.6376777131977194,0.5923125080944539,0.8408274043592608,0.8316854861939829,0.6611933354597792,0.9601298241229465,1.0117097504207393,0.9707935912362198,1.004031369231275,0.6438535217895448,0.4973344855482338,0.5191067415418887,0.6102144748823608,0.8828830351953867,0.8345241770842415,1.1399556557393613,0.8356188253082162,0.8062603317435364,0.9088172383516918,0.7771846426505827,0.6927218816919677,0.8757982026680456,1.0194171538402665,0.9164677527085656,0.8678439422975404,0.9914433067359384,1.2247927559880114,0.9711451191825825,0.8841418371477249,0.7614582939544013,0.6646114175835146,0.6602175556352629,0.6314373142805171,0.5582285912926616,0.5623835988115761,0.5325730330422401,0.5784762288505148,0.6144881643523281,0.6022904112918704,0.6880037137260051,0.8852958528438175,0.7877838889993712,0.8305475336466231,0.8963244853097669,1.055558628130233,1.0076352507025772,0.9019778416701406,1.2646254197016218,1.4931537571841804,1.0180267109477943,0.939799274791555,0.815461592708663,0.7955936451072176,0.9643936000558971,0.8554160204018614,1.022701852569066,1.1109651026939904,0.7454972703129311,0.6130659510756539,0.49598786728638594,0.5391923219358862,1.1970840249822443,0.6891291976613091,0.6252909744232681,1.27701948777238,0.6522654182519942,1.1890888171594851,0.632047255179757,0.8475145827177885,0.47171922182768794,0.7461253419421686,1.2525261849178364,2.2195282872142936,3.012353506001938,3.1047769351548737],[0.36167585262084656,0.42524566706491695,0.6304432972671632,0.6472581299217078,0.4943136944731092,0.34435413964976397,0.3034398543582835,0.299739185499697,0.34350278671070295,0.2635205785866748,0.2888084977421361,0.3502438540201359,0.2844701305495497,0.24436017092963488,0.28952953828735917,0.29493071187521636,0.29049466495860315,0.2763983348907185,0.318677182248329,0.29311915254891535,0.3659691644669044,0.3620330483881237,0.5829153264362839,0.6730755170764641,0.669189038405115,0.4002620755338038,0.3375249264636655,0.25730924709089015,0.29268850492986526,0.2893082727016204,0.3307099656264693,0.3183128009284851,0.30048895885152677,0.32803145853998217,0.3101256363892313,0.28877275988241846,0.3146602247286001,0.3443160575739039,0.30063874932518414,0.36377908971412815,0.5713855654037715,0.39851444241700085,0.39343457695735107,0.5225347678558113,0.7689986707651406,1.2942380811928231,1.1945038749844201,0.9250509957758464,1.9805470312536895,2.256078205175893,0.9331293463612316,1.7066677010952553,0.6638271409261385,0.6157635000983934,0.9040746861096643,0.47430338985487364,0.5036247651415897,0.4482401674637149,0.4691242841219296,0.9289221923708865,0.5414398772631828,0.5769548322312134,0.6610417284937022,0.5181831928812511,0.4262303208719673,0.5100559904664111,0.5289813280824157,0.3194353174574346,0.5285089929251575,0.48657918182915244,0.772212990812939,0.9661108364009643,0.6338829850498978,0.69002693127736,0.485938513203899,0.8893425891036923,0.35304492866712794,0.32048381410219967,0.29772536748347955,0.34103439777144157,0.39347162440143596,0.45980306766278856,0.6690878239211324,0.5189483384043665,0.5991454292797903,0.34066563744185874,0.3483591752412605,0.37961164269142195,0.2930006567218102,0.4201015794660172,0.3273681834600799,0.5703377023533324,0.49239195108556216,0.3624770509742895,0.3629325169500506,0.4522470229774509,0.5315540557367926,0.357955007149539,0.30635492821892985,0.43452043942806684,0.3268993974920023,0.40813337525748683,0.31739587538942576,0.3652015710065284,0.561041487293706,0.4573702580968551,0.49074613490029506,0.463096159603011,0.4273483754401667,0.5818701350347416,0.2889494790618108,0.2615597412023891,0.24063593719867962,0.2094251113643141,0.2180266819077426,0.2420082811315713,0.3506716435805884,0.2715517380029579,0.4023103819818973,0.29832734196570077,0.2870457493857027,0.2826072675462735,0.22387138304544502,0.15137272494571521,0.1533089574626612,0.25897766648625836,0.2910006788203066,0.31318288749063866,0.28286656885609357,0.42832487871781044,0.4094750160178933,0.3876776998497673,0.42326943966010333,0.47933782819950554,0.42179594686666816,0.5077053680510827,0.7305750301897015,0.4541726427603701,0.4822429566662186,0.44086420536237036,0.6051029778935211,0.557313837044044,0.4127538817162742,0.33255919192265965,0.2910308634176048,0.2732945342658861,0.24973817963135322,0.2560637945068983,0.2143379970959778,0.30984509679720706,0.36655943858220413,0.4422293964241663,0.5900928183382451,1.1020100501524277,0.8246909540413534,0.39357531404215007,0.30391041867308977,0.2851442314461151,0.2893757574923151,0.30988640697829467,0.32008433925890334,0.286632791489472,0.26391553094604503,0.29103329215506113,0.43219759249653594,0.5292399980477696,0.7655384311445723,1.1124123419341576,1.402854835706106,1.4038393099004427,1.3114158764318942,0.7589852389467091,0.6128072159397497,0.4059939295113647,0.32013290747256595,0.3575869662260607,0.3610329287535961,0.49841808246179686,0.35958795607784,0.4057181022551858,0.4391638934585806,0.38419491629219255,0.49842059353894536,0.5569258350804339,0.5802358666362443,0.5452110508097325,0.4406515123497032,0.7800551527707686,2.300855331224004,1.053750742733468,1.7492174615479223,2.041807728405185,1.4008375552734489,1.0954542665795417,0.6813898489442112,0.6694451021633853,0.7759747360472332,0.5507563335701511,0.5978399726111336,0.5231919442902199,0.4413077091730778,0.42542781477493374,0.40658911693342503,0.504363504404298,0.48093605483417007,0.6225864093485051,0.6152470035823767,0.5720843207494322,0.7367017996665184,0.7961894827193319,0.7228941972355765,0.7820871697028441,0.9844336547429248,0.9434961522148286,0.8987658157968519,0.7515600966469062,0.9452117520834852,0.7992934226625682,0.6768468755059159,0.6552758988901451,0.6325211277433214,1.1541141128640013,0.7722794883433484,1.2347431163923535,0.7220103248928041,0.6839753967991961,0.686502291461149,0.6559981326331121,0.5647640911896694,0.5786296552239393,0.5668464551227804,0.8239472543796221,0.8798198030629173,0.6895845223319844,0.9773206702980737,1.0030116242614084,0.9791936571178768,1.026911053866728,0.6818973201544095,0.46940369276393723,0.5136424034443978,0.5941234835589834,0.9176344499498096,0.8854160988123027,1.1885112355289709,0.8842211591452738,0.7825030971947113,0.9421708657738106,0.8102622248906379,0.7030308169764724,0.9437328587644586,1.1093906010166092,0.9453571088185083,0.8935341969719623,1.0795826626871654,1.2745653022266703,0.9756403032051834,0.9132577391534475,0.7531742389395731,0.6669630133753766,0.6627907369094485,0.6079923174398698,0.5292204177975164,0.5214088683639623,0.5126481329243783,0.5400152891566382,0.5999935398313337,0.5899666550965869,0.6633129950980384,0.9401022823473725,0.8435824847334513,0.8677305545749828,0.9381158073076575,1.0862081934084318,1.0582408030770871,0.9409401141256671,1.1977649277609381,1.4541937684707478,1.0099153593446213,0.9156951940110916,0.7746995787218884,0.6274213135559545,0.8985117385205172,0.9043112766368296,1.1393121611978172,1.3463134824219127,0.8441960621854198,0.673579055763159,0.5121974221347958,0.49777654314888253,0.9919173214621737,0.8628297484077795,0.7452478317832304,1.5354678554479337,0.5133173366083231,0.9972343096750708,0.6675697318056693,0.925404621920389,0.48520785915371795,0.7070590622960509,1.295311071913142,2.4472640173038704,3.2762003639858617,3.3356621412287737],[0.4242430607119189,0.4749161004368389,0.6829002584963284,0.6584221262307259,0.5168960893576353,0.34175040369275195,0.2891405395801868,0.2728739219819966,0.2946856079441259,0.2172068641881247,0.25378086399602384,0.30563280652812225,0.26684199796955843,0.2402220172497001,0.3126799684185792,0.2937244208659654,0.36627847129044155,0.36411255928838937,0.41081727530165907,0.3749627234659672,0.4317711004272485,0.42791662368823086,0.6518841500531102,0.7959303582575918,0.7146080600444852,0.5220879070274412,0.47724809943302976,0.3616198588128528,0.3357521632393942,0.3263360558958126,0.37085750289686265,0.32459653785607484,0.34987837876138433,0.38525360923618973,0.34225909146650574,0.3618718363477559,0.3330786709474246,0.42135343433340045,0.40040306425431976,0.4228842271418402,0.6337487858211223,0.5125777046230847,0.4979463036903995,0.6431819154108013,0.8337919436653737,1.2511718263453049,1.189698792825129,0.9487511086792608,1.9067657050218465,2.0801249856155892,1.0217806075922982,1.6833906543049377,0.7114437479935094,0.7131267379640585,0.9105549976901254,0.5610291620712861,0.5729709420150894,0.5473456142280473,0.5459176515746078,1.019176457609192,0.5941838842421158,0.5736406623826092,0.6474892070253438,0.6333274344490536,0.5320586848951712,0.5258930701892358,0.5948555484262654,0.404694256147911,0.6071592210751495,0.5429885754709899,0.7916911807401217,1.0122906716136908,0.6924882942891979,0.7735094353395063,0.5383629432535563,1.0197746847159814,0.4329601800239188,0.39491751216259413,0.37317571164226976,0.41310880943508177,0.4461594969869078,0.46765200214384556,0.7203837988989261,0.5662364009023586,0.6724327192970452,0.3764413614818818,0.4092227416352638,0.4147401903462727,0.3689629708475618,0.4582940480145725,0.41359920101744496,0.6717261989957667,0.5544334268795794,0.40674396415969355,0.38415801851456227,0.5092878817017592,0.5651013295622064,0.37760084203731015,0.3273066742988729,0.48246738442537046,0.3127766878440834,0.41593861289824485,0.32013857129827916,0.3886139940241912,0.5477392455115824,0.47818716564431624,0.513510330002017,0.4634132170999873,0.4284021311740546,0.6017179266156971,0.3043223492900798,0.29602476904842645,0.2694209733306934,0.2959700643435071,0.28543123319616265,0.3458194711572488,0.38628047998510895,0.41404480224202594,0.5318053267264347,0.3912430255340444,0.4009860896936444,0.36813325569819383,0.3588249226378303,0.27814008619379954,0.23723474525792754,0.3231696752155575,0.36062521914880274,0.32536743098203263,0.33016035882442174,0.46034804378572264,0.4445820726468851,0.4176834877760218,0.4591924001672907,0.5102229185538657,0.46775162880750687,0.5253940147758784,0.6775147936203316,0.5347778396979019,0.5947831009279275,0.5626241564855495,0.7204703559882804,0.7178635582283596,0.5308528693907151,0.44563648788842186,0.4118972676307687,0.3754789840005876,0.33993417185612207,0.3084372686551933,0.2820196781060297,0.3204946744875514,0.35405994610964614,0.47342712531882164,0.5997876765743826,1.220653294118062,0.9294412539052982,0.4261059282505616,0.30885119663819266,0.3001152177713291,0.2738261952255287,0.31988905469081097,0.37386293754700045,0.345691570519918,0.37074881866215587,0.3746772078916752,0.45495401352241205,0.5691727319488019,0.6590330941509578,1.0137036195196987,1.239682001513446,1.2793984144574526,1.1755046582837818,0.7099654502868615,0.5471265921227322,0.44454199953870144,0.37018527606680524,0.3975954457928127,0.41072072102193224,0.5344802966913842,0.4172542541925352,0.42521167755502925,0.4772671475615767,0.41267696535866144,0.5215045036306764,0.5643065659680687,0.5808433008860006,0.5339395413682537,0.4740696893383053,0.7850169371042309,2.4506012464493194,1.0892846477139237,1.9197110533623625,2.2501951373330775,1.5137796049863386,1.1639775365579577,0.7409028723537564,0.7192044182105712,0.8002144645943059,0.601946671518128,0.6570969391676057,0.5644069447851348,0.48205141022649867,0.44354348486146605,0.42984949822324636,0.5481539641523963,0.501180951815789,0.6190412889432486,0.6544214639740489,0.605785769931571,0.7439898338896719,0.7982084704149497,0.7452989219159479,0.8067281010747142,1.0061281474065746,0.9522362210650672,0.9427294903055844,0.8142647297253983,0.9995986075391683,0.8987008717558017,0.7499967596135317,0.7010802369267691,0.7045119000075362,1.1899241308500688,0.816041597237857,1.2340954585875874,0.7364332423012991,0.6956258569570686,0.6866559709736115,0.6698119006423267,0.6101498783402658,0.6233564743501393,0.6024246944760607,0.8871503506972529,0.9587921299940461,0.7566918813991693,1.030841750325674,1.1004355484453758,1.0812370799390967,1.094185704057568,0.7483515661180454,0.5057821385314425,0.5406222931021759,0.6034699099624202,0.9295028814297736,0.9167116954757698,1.2141096545269325,0.8946878976578879,0.7992364679917786,0.9874331537913354,0.8398014549423956,0.7120702281491771,0.9759641348701603,1.146979450777109,0.9610815162977177,0.9160692648685402,1.124065565923634,1.294232403201936,1.0034994678080822,0.9498063400579637,0.7824442349580438,0.6866059895406499,0.66804317618924,0.6121897615399382,0.5599795429610259,0.5483386916694024,0.5382446734251044,0.5963757000203567,0.6645425633063513,0.6576144174879744,0.7392700245468271,1.045842518511588,0.9360738567346989,0.966484153031625,1.0520066845616394,1.1999178039866998,1.1713093369545957,1.0404999640843922,1.2889005389262531,1.5454604445229636,1.126702948883581,1.032539841276923,0.8625778656406317,0.687848994740539,0.9969817403842739,0.9973327051617127,1.2488159256634803,1.4272461816521151,0.9133022983221714,0.7173862347560461,0.5592225949348957,0.5122472595443197,0.9475864518492266,0.9064200404025075,0.8009863454480975,1.660061506835495,0.5169502190137069,0.9103250430271267,0.7598541007611925,0.9752290195180846,0.5488257661394033,0.7380551073342858,1.3444347876983445,2.672385349678145,3.5885122707153063,3.6690233557531875],[0.4192484164667434,0.46902188451053745,0.6158944850911022,0.6651662773623516,0.4970843402944967,0.40174943511938443,0.3548826859105767,0.31072538810362166,0.22772642832288573,0.18333855346964872,0.20296511251178861,0.27923268135344287,0.23340072793977,0.20265615744441565,0.27451926468631926,0.24973900377578553,0.3043929236623864,0.29236306636718873,0.32724677269220714,0.33354878003062594,0.3897526202139278,0.3845511192120601,0.5529667929315026,0.7319636997157088,0.6348089921156808,0.46456540150174364,0.39201915615979577,0.293959351908136,0.26843048184258506,0.2912437147924001,0.3193667994823963,0.294143562349984,0.3153705636244911,0.33539262432629074,0.30651909999078075,0.30463941308033937,0.3002126863168897,0.3222855018054437,0.3076507901915124,0.32451988539025,0.6199903297866318,0.4345335242035798,0.4108219069363753,0.5569171228953589,0.7538014787723161,1.192261741615057,1.0459574004594931,0.9642216912507063,1.9975453556850373,2.0346071443995934,0.9796930560028096,1.653184734678995,0.6524740439694101,0.6072252715078077,0.8601781130679188,0.4741239835799607,0.532118326871334,0.46721850274372295,0.4906832962867982,0.9116031743971896,0.5403100797507159,0.5911305696136139,0.6630015583202661,0.5979346538352649,0.46273434425264454,0.5035855623716708,0.5691481623422122,0.3517896419189737,0.5729745846734995,0.5000477720275316,0.7968864228665931,0.9738749025260651,0.661661200169235,0.7052051446056328,0.5018510656946976,0.9783346087911662,0.3846267599769494,0.3372239868125023,0.3176680475464321,0.3683918794618346,0.40318586938650935,0.4245274435651702,0.7087871910022622,0.4846212283981188,0.6184588461769165,0.33837373765398315,0.3418308740387264,0.3813576874105104,0.29882815566706233,0.4291019935680724,0.35295458509664906,0.6018541976801238,0.49691161912122983,0.3587062725886891,0.3471359168378706,0.46906517523238117,0.5427090571466776,0.35140526840396547,0.3078225012828052,0.4643139810124072,0.2937576455576709,0.4238877374424261,0.31499510332112285,0.4051310929574149,0.48588245453629764,0.4593819968419232,0.5059752699644118,0.44082631591154675,0.4342510141935106,0.6456939212378962,0.34243107767072023,0.34311796506544207,0.3151827637102697,0.33305288790056314,0.26478359785286415,0.31402290886788525,0.31303990915484514,0.3115664506898617,0.39189604521554916,0.36566567788870985,0.3109809876637459,0.2892839340400006,0.3024981773474986,0.26464703436171116,0.28149727181399825,0.3107118821295426,0.45086728023869677,0.33781363340924964,0.34595717702619705,0.5052173444449438,0.4006509944201041,0.41173637176476213,0.4461737852508609,0.6317400991883871,0.49139228366923093,0.5198081181338587,0.7077381632450341,0.43279934635312317,0.48950642031574676,0.5364733138575474,0.5924856273500578,0.5069633633225447,0.4076057695480821,0.3390987423705696,0.3034384653358082,0.3152940951115291,0.27508246199343356,0.3112180535324483,0.29682173494206393,0.34055177515033563,0.35838066610860286,0.47871066970195814,0.5828170137590908,1.1464840661686346,0.9149233073911903,0.4174279432553133,0.31657871053235126,0.3256710580650215,0.28866222027618726,0.3490303993558166,0.3365069928013647,0.3064405083109131,0.32836627516799605,0.3169545271816424,0.4095653134425812,0.5056027296949624,0.5944472408710997,0.8790891659282094,1.1087795566684604,1.2253052617129987,1.1330726736213526,0.732857115114884,0.5663497072137356,0.37272980218180757,0.31350511612931414,0.3873530865483218,0.3978130630874994,0.550480514374324,0.3818554695974694,0.38999620294237747,0.39441289554002906,0.3717808956594366,0.4301444828216407,0.4470140620691155,0.4725349916060992,0.4435446539164267,0.4220509841629652,0.6649725804050762,2.3320884147826444,1.043447571299427,1.6703882079918224,2.1158545974901637,1.31751269969747,0.9821753287431434,0.6121985491915409,0.558637285205469,0.7134029695877422,0.478844362688272,0.5155091751182219,0.4928728483624897,0.41964539348705127,0.4654150868573509,0.41907527303841907,0.4866393472492137,0.46646095563013357,0.5685491704991581,0.5973706651046387,0.5227642245889689,0.6670544611667537,0.6478546315684132,0.6233123194538157,0.6569480049778667,0.8031278815179103,0.7867906057357805,0.7924637844749591,0.7154980274422018,0.8607792191352757,0.8087251037537908,0.6595170209976797,0.6117875072737464,0.5897448017143965,1.2564743681305481,0.7424482010771744,1.2861622379822473,0.7572818798462733,0.777281127456394,0.7653171752394244,0.6764710637736132,0.5110377120931311,0.5431816373971716,0.5350019664703783,0.7298800679811343,0.7554203314653739,0.5778085042773314,0.9428218798611331,0.8547477540219315,0.8629895268718758,0.9143554626090834,0.59429385371486,0.4600492449387414,0.5528187694176391,0.6603993358244727,1.0296070702882207,1.072511887232458,1.3331028691045714,0.938745430110916,0.8698398593463884,1.1096796444785295,0.9059554965321854,0.7388519384329254,0.97613242496195,1.10488833515057,0.8843029177323288,0.8563647794872213,1.03218743394286,1.1504016761499418,0.8815343947041144,0.854496908226288,0.6967951755191014,0.6638747054860886,0.6774547303984897,0.6379585156361913,0.5228096316774128,0.4910636947158413,0.48662487989010156,0.5035597731466457,0.5757592572993104,0.5426212182737616,0.5885620560358226,0.863750946497569,0.8023479257437425,0.7782909404653888,0.843677370560761,1.0307619421459695,1.0191623634570823,0.9449142706120983,1.1917345815386244,1.4520226867669117,1.0377223886770626,0.9579055348537788,0.795992786543954,0.6098341249041551,0.9527160734241829,0.9589972462602608,1.1529853320927987,1.338934492121992,0.8229077291916039,0.7013531191454259,0.4929076663654425,0.5012472696241703,0.7951032877678045,0.918971099335551,0.882283057076107,1.6991591766406875,0.5033185063598226,0.8286702408911754,0.8816408571182156,0.9123633943154518,0.5770451910176099,0.7276359155629586,1.5915084620796789,2.991334924151492,4.03484229025419,4.24243926990464],[0.39223541746072055,0.432403850329555,0.5392249579800641,0.6448687191232378,0.4349110056906696,0.34192813713982506,0.2777057737384551,0.24146070637718542,0.20452669132275714,0.11578569441199014,0.19262215053351678,0.2850624494984778,0.19382017126070156,0.17251768713960047,0.2861975019387052,0.24395315298050957,0.3009214199339754,0.31980073410143806,0.34855265665446816,0.34730314595330974,0.40226834272279705,0.39365181564139934,0.5362993354624087,0.7200991600666028,0.5856021840280953,0.4535004774996489,0.3682653811484067,0.3108183456599265,0.2865149531341948,0.3001297528847823,0.31969214729936724,0.30061238018025643,0.3192470741274367,0.33620342024742905,0.2889138574827453,0.2877441931996073,0.3112440020015193,0.300245536779723,0.2977136002740042,0.31251340421349455,0.6397412848008194,0.42872428849440736,0.41204117181974037,0.5171246423647133,0.7128179859906422,1.1441775075733203,0.9626246475441382,0.9345205415425905,2.0037681726567174,2.0030749605975573,0.9354294350105585,1.588417500179066,0.676882462037896,0.593462768508518,0.9045164982427571,0.46071653149826897,0.504978027671636,0.4650529751400305,0.5467222559439999,0.8222462378572639,0.5252830767440084,0.6456266420775737,0.7191958028733794,0.6466759228532116,0.4585697750638832,0.5112741894567528,0.5939628647851752,0.4053974736191583,0.5957908166275142,0.514503474140556,0.7981694603073994,0.9602061526520589,0.6785537967497356,0.706534434419667,0.518401204808049,1.026458156081928,0.3955945469298117,0.3581174754932566,0.3183798071029527,0.3664560530592935,0.41862288450331225,0.4622946901505858,0.7335442545408609,0.44810712909788153,0.5354348732466121,0.35872907563203266,0.34229969108004443,0.38599001087168755,0.2941684355710289,0.4572962553201564,0.36484010604024175,0.5821917900808243,0.4614245559679374,0.3424259675300979,0.3305332111073788,0.43049028072691126,0.44128407777898726,0.31393654014292954,0.2796935053530003,0.5065268435116268,0.29923439870782975,0.4099227761375833,0.27746727631970836,0.3840644637342967,0.4682323966241073,0.4063143073693783,0.5251065530545457,0.31858429221076473,0.35700068410797786,0.6254872610071369,0.28648263804297003,0.2528977009793677,0.23776590624668106,0.2880923837322782,0.26950012968355,0.33058163702144105,0.3299302944296426,0.32189270630678024,0.3972215845025147,0.4162282904114728,0.3440413956951491,0.32360589474028506,0.31491166324933545,0.30351345423352877,0.2607998282992989,0.2723067511602552,0.4909542019595244,0.3056089355880517,0.2750458013651423,0.3993477417352613,0.3189520619117118,0.338291079567823,0.32146651004625426,0.5703103224592699,0.38270624629990974,0.4088217283354775,0.7464916319635632,0.39888184367554735,0.483817579697297,0.449533103957549,0.5834943164542528,0.4786617026239241,0.406308781561634,0.32916032973232806,0.2910372949133819,0.2938608062436702,0.25442802253270624,0.27877515236507244,0.25529956063438547,0.2959325908628582,0.34785009857075017,0.4933733580384952,0.6540300962681662,1.321301583036465,0.9745659904328349,0.4436268455323918,0.28444451873632504,0.2995153656724454,0.2578216878769531,0.3257182491888122,0.30182486853507723,0.2909375103391294,0.29112388377832127,0.2917014113673271,0.40481895061431405,0.4745909511228767,0.5981969033357657,0.8743007593871293,1.1489271369911243,1.236469036386591,1.1431741557563204,0.7164687575322632,0.5740759012601582,0.328420921455211,0.28554470735669546,0.37713450397368853,0.36726383691161624,0.5892104952449694,0.368548356530502,0.4331815191853006,0.34769806870898606,0.33825593731427217,0.37868572151114516,0.40804585156368944,0.4416934406699703,0.44650740948987844,0.3816478303146741,0.6155897079914148,2.1295981581832355,1.0590274521031182,1.479185314455419,1.8723418706643202,1.1691020160611378,0.8997793347236721,0.5074152837900927,0.46283059603656174,0.7245618695482946,0.3989134559413428,0.4817185335599321,0.4667207550725811,0.37411819827896337,0.4272164269217923,0.36868544414272386,0.44639770027678194,0.41475005092716133,0.4828048900399152,0.6231265487326778,0.4842035813001517,0.6160996630710415,0.5432543738425677,0.5677919461673686,0.5806202108763064,0.7095962183935983,0.7043936598914861,0.768683866417686,0.7395388662337163,0.8140574888399627,0.8670552652439355,0.6882702153450833,0.588681552849442,0.5726835204301353,1.3825141149810884,0.7207329679358891,1.3220563636026053,0.7135105048552042,0.7864697426255541,0.7842261526876227,0.6966356249143191,0.4944991875438811,0.46012280262895033,0.505562051467268,0.6699303244180749,0.7382858846832688,0.5497318237292635,0.9734777823098306,0.7818025729745116,0.809415941979227,0.8693936469524715,0.5751504621394917,0.40497956754604997,0.5501276723891393,0.6548895329869446,1.0652338112971216,1.1338974560868338,1.3866950629475912,0.984207603253877,0.8727984399210632,1.164046561470557,0.9525730039185779,0.751562450680765,1.0346197265406845,1.1557967978420642,0.8745814309488149,0.8672030896638406,1.079358703180545,1.1417774275699253,0.8498561844572506,0.8628349966782591,0.6801520943036649,0.6710624873784948,0.6886871754685708,0.6378987105426396,0.49959628662693595,0.45199232177229337,0.4557504595613517,0.4610855171578779,0.5552503244646462,0.5063206002215197,0.519199737361774,0.8650341632810457,0.8315215290880882,0.7585108751240957,0.8355504375020794,1.0288963785559722,1.054767184947887,1.0069149282933265,1.1580134267581483,1.4337527131732422,1.0881544463649628,1.0454939613811878,0.8734457228086053,0.6715987178532367,1.0900596386835035,1.1139588378425045,1.271565637460367,1.4788142028703026,0.8952974556422596,0.811543239714167,0.4652736789354155,0.4192858173282036,0.5684556692822763,1.0795508074938565,1.0173772469491924,1.932492447530922,0.525139023323645,0.654555104639106,1.0462952051084127,0.9412637421807017,0.5534769208607948,0.7213063157948857,1.6857390212473462,3.2327457189842943,4.364627029777119,4.59084934871332],[0.4179319467912774,0.4485039558628385,0.5428706647252981,0.6557055476924957,0.42999029726967236,0.3537876871108802,0.2976175873458164,0.2617261929789116,0.22208904485379025,0.18067454799866448,0.1599604126632107,0.2823994399045789,0.19809277836773864,0.20641736098087748,0.3392621402441038,0.2795031281193503,0.3507831716449034,0.40420489796443915,0.4575758460788772,0.43464863917016394,0.5004865761199322,0.4791011023443277,0.6192450763020919,0.8062883287320509,0.5857130807516961,0.5330758591151409,0.4358767788906483,0.3815789581777002,0.3498220107863378,0.34745753917001143,0.3637038994363436,0.3235219692543393,0.3701598872670332,0.37852887127687995,0.3310574527747796,0.3531885010783881,0.34513976767949145,0.3573673839004715,0.3526238555225371,0.36103816171287234,0.6860090532824913,0.4990692009254069,0.4724616140880866,0.5912219681407506,0.7529737112650698,1.1141658645201873,0.9651464650799202,0.9421681997426975,1.989573981677058,1.8522535769007356,0.9849491378325744,1.5507724877491758,0.6877499790397802,0.5970824543360304,0.9147843991582332,0.5004702921996308,0.5466372354819021,0.5146089145987591,0.6081147469316656,0.8192025154645817,0.5742172680078448,0.7136406765559041,0.7673119941704009,0.7635794953307082,0.552956552645311,0.5887015748633124,0.6706376840062139,0.5015570762193974,0.6625473188642241,0.5860477323831033,0.841277783352879,1.0208086858717687,0.7456106679558252,0.778569655424439,0.5702905765197849,1.1296847592171533,0.4661536861116331,0.409768397665708,0.3751897610304807,0.4205885163680008,0.4630671781818504,0.49115792055988144,0.7677978533579158,0.4663496462959255,0.5555298217992061,0.3944529613586673,0.38631198277897066,0.4090222026629656,0.36645548004011325,0.5046991723814069,0.41890231654928806,0.613765669450037,0.470801859879584,0.3800994246617551,0.35647004650216274,0.46858699471739995,0.44814989377771486,0.33573783414677755,0.3046310398253018,0.5874753130848835,0.3202350551046382,0.42440164113638124,0.3110084379927287,0.40764272457026585,0.5090916725440082,0.40936327664682465,0.539363305178516,0.32401694631401495,0.36605563743099406,0.6340766988061664,0.3006300279058777,0.2869281647191968,0.2581722329527896,0.3022427835793593,0.2995425435451536,0.3428109627132246,0.3628696723774578,0.40105861288042455,0.4998948502552966,0.5211306719469116,0.4537965496207879,0.41398152305172264,0.38217053841924253,0.33901837888188524,0.25818421904039746,0.28483201074590453,0.5382828626408281,0.31588414611595167,0.2998844078813582,0.4185619964813442,0.3235886436113043,0.3554786796751743,0.3587382525812038,0.6395838041947881,0.4192606243076503,0.4235543395917142,0.7187733799708935,0.4075097320980176,0.4895948234220223,0.5070827222934782,0.6173495066874781,0.521891448845826,0.44702992303728656,0.38578696895945663,0.3389754774110487,0.34271738191471157,0.29378433831674927,0.3096703275298323,0.2986472684041996,0.2969892111066988,0.363884633652376,0.5392141742797802,0.7105835999846205,1.4905856189423392,1.119810228373242,0.5209656960811039,0.3309304341789884,0.3383834107248718,0.30357163132576215,0.34563720165175416,0.3340163836570607,0.3356250168632935,0.34568024524586044,0.3405309581307278,0.43894044407541394,0.5005113417482049,0.5414546248151079,0.7933620835607431,1.0220366601112392,1.1628042541576555,1.0565109438783713,0.7046337495296138,0.5575544979851853,0.3596954795034778,0.3150470493902298,0.3979678436907866,0.3873239573084895,0.6232138624146084,0.41045349005964366,0.45136835324797653,0.3572132712537749,0.3473453078778114,0.37615399689104656,0.38810664016659124,0.431596503824647,0.45368928530054514,0.4312724887107,0.651452332260574,2.1181144727053733,1.030392132341984,1.4804177363078426,1.9363901373907437,1.1561940682073681,0.8595068414238346,0.5030566859890724,0.4545658773675919,0.7177414988984208,0.39275039816586116,0.4659459534701382,0.4593895261002356,0.38543466393872544,0.4544771631106719,0.3882493596998634,0.45380858666898943,0.43497160141058994,0.4842298815995028,0.649004121186929,0.503787818959498,0.6119449971212653,0.5386553918104232,0.5963341872186255,0.5870027384814044,0.6846216671936015,0.7194826458740603,0.8070965149000179,0.7917500541992276,0.8372942474812622,0.8977342533422876,0.712137335664835,0.6046998463405203,0.5874646983677362,1.458311186335249,0.7370157384308064,1.3491847130205608,0.7344802811337797,0.8433450792164715,0.8401911091550578,0.7673618174628721,0.5190696308114044,0.4669875882462092,0.5277656294642286,0.6641243548772833,0.701652284856507,0.5242267784156798,0.9862553815153682,0.7288236238229049,0.7724187699111348,0.8343109218178103,0.5496929876542599,0.42652913933685843,0.6010126250899713,0.7034624507120052,1.1190940303011638,1.217179361761962,1.4463740783272725,0.9979799152428181,0.9256432607120196,1.2412023694042018,0.9909177933371368,0.7710662739367836,1.0571618665128555,1.157774642319401,0.8534055873398003,0.8682106036205391,1.082889323592674,1.1051081032970078,0.8241181242101294,0.8607309935387217,0.6901921423837484,0.6989404317439141,0.7157225005308622,0.6780908538260422,0.531192452248536,0.4766576580758657,0.4812741485645653,0.47288541829510566,0.564173879321718,0.4987128929027629,0.49623362177248626,0.8490802041618362,0.8274365564591819,0.7323820379117736,0.8168579417355781,1.0119644642292767,1.0462540899723058,1.0119248552593112,1.1642221173177323,1.4462145412872032,1.1158915649041388,1.076911429498775,0.9031711957064138,0.7207840237726223,1.126688131942298,1.133157644158917,1.2785007255419847,1.4706819992582996,0.8882237015903869,0.8209868191900607,0.46400071557182326,0.4227406242776306,0.5218100266427499,1.1025959926524793,1.091524133575806,1.9479737267999364,0.5440776373614614,0.6432741898435551,1.1655082868261155,0.8843610983068911,0.5736489504526605,0.7542175096889967,1.8049186899462493,3.4412713710468283,4.745563934783323,5.090904175011864],[0.43168249056089475,0.489546471944862,0.6204533638417176,0.7227267243521099,0.5184789559055024,0.41659147095558546,0.37146573017050305,0.3259432582382381,0.2924435924958999,0.2909214283946933,0.29906806586495754,0.3815490095356868,0.3269875617091937,0.3399015704680897,0.411029372561353,0.37949453879164924,0.4439490517147385,0.4739286565530868,0.5325371684899793,0.4965949897573387,0.5659415150621844,0.5415364666475041,0.6894603502593522,0.9308772394493898,0.6231121321168116,0.6025411713803037,0.5429015286433205,0.4752748927725746,0.44554060783562865,0.43435488458828586,0.4838562643577753,0.41923554056251494,0.5360500028148248,0.513619366350569,0.45473703733714305,0.47059003047714787,0.44092006476647694,0.45898572883737965,0.47408370119226584,0.45983923852070474,0.7281263780485048,0.582765480720292,0.569646875883463,0.6816064664356167,0.9011586046868166,1.2211516670325682,1.155822592818244,1.000662415777057,1.9100976455970398,1.7410024500577053,1.1014857432543572,1.5596055860426525,0.7626662771805764,0.7275977234487141,0.9812933428226678,0.6015277668033745,0.620416294000843,0.6276185425481036,0.673322747951601,0.9125983149567644,0.6290584758300989,0.7231207149883332,0.7651909507745572,0.8383121118549638,0.617576086987905,0.6399650051709196,0.7161758704386846,0.5461718961734706,0.7104813543464639,0.6246455711861251,0.8060529544585515,1.018333750561118,0.7701994066299865,0.8726169913281571,0.6130671305829551,1.2240083889240272,0.5489054112165993,0.5233574211529014,0.4840862364505745,0.501670283983755,0.5652174063759089,0.5720670207738384,0.8318858235587824,0.5338179735520353,0.6141335433103581,0.49148293588424014,0.48882843005482174,0.5267864482975403,0.4715974466722128,0.6003619084266392,0.5186370595431309,0.7330760397583653,0.6236598703816387,0.549743472492243,0.4984620011819101,0.6464912895591832,0.5964180537404059,0.47503481851793605,0.42784214921138863,0.6735865371541996,0.4174398582898066,0.48367998054501665,0.4065254386596809,0.46066691661429027,0.5543278952144588,0.5237056849058253,0.6066849234903089,0.4563266030379253,0.4533772342891999,0.7016973171712589,0.3970388091934061,0.39382610127069334,0.3665504734659697,0.417084729355715,0.423386437992591,0.4671436910343953,0.4773643909533897,0.5534090387980306,0.6710866186700314,0.5900449851461311,0.5675588630861527,0.5615292681877685,0.5408933904911131,0.4739107931473252,0.39119095015684496,0.4385416352223682,0.6003277217836489,0.4368507371656222,0.44363602922036305,0.5168196861014669,0.4644801809970796,0.46356157396916703,0.4794239542180884,0.6483680762549271,0.5251069605583844,0.5261780880994439,0.7426006609220376,0.5668402924736526,0.6507832346615376,0.6047769254952501,0.7257299048793727,0.690500837624312,0.5881625181969455,0.5363694875567113,0.4801035705296426,0.4615255283209842,0.41853779676877245,0.40573295333835874,0.4001498878736762,0.38414286648184487,0.40190046394881224,0.565833693152827,0.7298875366382359,1.551957820175535,1.1863126319573207,0.5860478204995961,0.42269228627762184,0.39294552375375336,0.39092177250693705,0.406994721024765,0.44795308235992,0.44399811065053113,0.4406184231101783,0.4415265569388708,0.5882861851310333,0.6330592233605559,0.6025681108479283,0.8342397823234001,0.9864116265753884,1.1208020310543543,1.009750506960701,0.7046256005818604,0.5420479413984994,0.4864709830387731,0.41299035500313963,0.4687521007931153,0.45682045680788236,0.647868310227113,0.4769506468882701,0.48112872957988156,0.4477686727279413,0.4648631280295725,0.5137623832676164,0.5512200640063349,0.5716529690172623,0.5441137867287962,0.5320863574817398,0.777076486647216,2.2620526578690248,1.050726068486079,1.7419205252071217,2.195029530027581,1.3630346728020737,1.026740920629685,0.6611942815517419,0.6186947735874708,0.7937392803017699,0.5334975577178698,0.609038561365136,0.5546254501495294,0.4535231196477861,0.4654546986669212,0.43365927404064686,0.5219417976920032,0.4451395198155299,0.49635606847336455,0.6633793518303498,0.5290131148085718,0.605471626589154,0.5638774408091968,0.6082975486557618,0.6114555746764087,0.7273847119255636,0.740755180760224,0.8254819828100152,0.8005130070767299,0.8645962366931711,0.9379898208981748,0.7532943867029313,0.6268835938978281,0.6404505332597243,1.3835407577135181,0.756325421497582,1.2906686527001603,0.7233314452812996,0.7732537085941424,0.7644079694096602,0.6918917120828313,0.5126135367964525,0.5146510483712385,0.5450921987485523,0.7597432827574526,0.8464296791599952,0.6562347997091603,1.058717539366632,0.9247097430972945,0.9379239387817344,0.9721331241290341,0.6836402248656436,0.49194635447209417,0.5800619806842853,0.6762615198150919,1.083005952205938,1.1740559766421166,1.418311008414876,0.9779320167579718,0.9027598796611663,1.209137906619232,0.9705130959333975,0.7340964439325627,1.0334011209818281,1.154472123559341,0.8589800841865184,0.8577028056139453,1.0887865732768338,1.1356488796855928,0.840428422013328,0.8621074602995683,0.6844029567633726,0.6656303375812302,0.6719136216584075,0.6298207400858501,0.5199522162605245,0.47785870915660306,0.4893795154068432,0.5200443723259403,0.6218185822453888,0.5907172281845782,0.61629567758901,0.964539767601845,0.9138485232752376,0.8690132295109344,0.9552462672515691,1.1407300744050508,1.1543894743977945,1.0880516102845956,1.2671217783955435,1.514832739911106,1.1875021172729896,1.1194781952119324,0.9275899196840329,0.7153501913862716,1.14331294966318,1.1577354210500548,1.3456292924138722,1.525542433170327,0.9452012763718934,0.8323068632886981,0.5587677399340326,0.49839133111924255,0.586956295258933,1.13187602087866,1.0918846318892377,1.9625344269232445,0.6175359800639816,0.6673067545849978,1.1813633948369877,0.9949456924406233,0.6077206835796972,0.7638670319311682,1.6913654518325303,3.3770733441131364,4.658664308241033,4.9517840034578455],[0.4250235926742357,0.4620301937834218,0.5572553896259821,0.6274390532356949,0.45190473478691,0.3678799513642304,0.2742114611670155,0.26139709783181964,0.23285844086031038,0.18081068329767358,0.19351944816782177,0.3161093379335896,0.2229640399685047,0.208156847593558,0.3532971840384745,0.28577096028946436,0.3462238304805246,0.39400643428752147,0.4581841478220942,0.42618135067375873,0.5042744622020346,0.4727773459397362,0.6250247213031587,0.8397525932206645,0.6051940608552773,0.5338182830115661,0.44265587183554,0.36590274487006164,0.34145788136795113,0.34131819144292974,0.38186852260256776,0.33637448687092314,0.42023861071702023,0.40777685937089275,0.3434553097779689,0.3517209926701298,0.34648180892897135,0.34821362946962103,0.34435929098689105,0.3489324241509438,0.6556800539880862,0.49066104005286043,0.46827601882632985,0.5814893853860523,0.78147180410515,1.164080893077407,1.030043608818935,0.9463309382379341,1.964638969164151,1.9127195136915873,0.9908638703919623,1.5618652487400926,0.6889939969806612,0.6121006357563494,0.9186650664838322,0.5002225149340196,0.5407625552842165,0.5097264856523793,0.6025149676343964,0.8520025353437779,0.577625964626718,0.6956733694686027,0.7579171827208455,0.768774630958168,0.5564229036522546,0.5836075643008403,0.6762419226109048,0.49418706358607445,0.6763598995821056,0.5905149973011566,0.8192711819850623,1.0260199901215121,0.7614837849807999,0.821730053448135,0.5801484195173535,1.1970717385184002,0.4766169694310843,0.43246811811473396,0.38195428591145564,0.4263891737653167,0.4644799148658976,0.4941705087250314,0.7734533965390958,0.4747241424678619,0.5444316066474802,0.39735414275262904,0.3874908289466968,0.43200906435664943,0.36597692416557387,0.5105952055046088,0.4330162449900993,0.6485945346531393,0.5092247227630639,0.42522213298762457,0.39193186575017214,0.4958463617801373,0.4664508120030388,0.3765113152458127,0.34890828696881926,0.64117528841919,0.3793242360886974,0.4663899403968915,0.32530289946314744,0.4440888561732665,0.5435084420271411,0.44217360369281916,0.5915843814117687,0.33538711003986826,0.3784654835929134,0.6455348288665758,0.3167339529711093,0.26336221221362305,0.24165342886720223,0.3103086137252122,0.3052312503782288,0.38118316347529946,0.3809264294665692,0.4414101161011434,0.5711503869628938,0.5231108144227373,0.4829587672442048,0.4447454869743423,0.4207313325951087,0.37527787968948395,0.3105186787122703,0.3194364857734649,0.5033377014855925,0.32314975040593436,0.30006299489486027,0.4113885886719467,0.3608130475355091,0.3726562136386643,0.3459363042282791,0.5713969857375161,0.3979910308045887,0.4310133892227784,0.7946376733416555,0.4472177045092469,0.5413945978811404,0.4713565051431171,0.6536795629687974,0.6026500580037334,0.5186498629966912,0.42314106971496834,0.35927809882623607,0.33852907102562574,0.30083775761108933,0.31836919090818905,0.30255589498654717,0.32630408305541675,0.38728363507028063,0.5196130988251677,0.767919429241602,1.6244946624180703,1.0905457190548566,0.5419227519150092,0.36932978793983173,0.37442201902004574,0.3223286862491965,0.37774179407279634,0.34294344909716207,0.3334557152255847,0.3396573737699501,0.33305909774814296,0.43482752209942965,0.508054866535864,0.5977613686103473,0.8843438409635004,1.175525837829014,1.2421449756189917,1.147555347962776,0.6970749555946789,0.5625520549784646,0.37312689994020815,0.3254836555186767,0.40767413419875237,0.3933894665436664,0.6443873773272756,0.4045925977147342,0.4785146551176193,0.3720548242621228,0.38075027046101095,0.41176713357711986,0.4443778337702975,0.4809396849364264,0.47613131552005067,0.4112325588783721,0.6372079199364707,2.1619727492751206,1.0441730179641686,1.5349852169596165,1.8988100954531923,1.2021846958080071,0.9377679671972323,0.5416381512220224,0.5171860580415475,0.7830870270461456,0.4467511071502123,0.5397106599435354,0.4881622298574003,0.4020967166264769,0.44249735863937195,0.39045335924937863,0.4935857424314123,0.4310595621955606,0.48460380003277453,0.7087990457802332,0.53911447640446,0.635787761663591,0.5536277899988755,0.620292326179417,0.6193426793776294,0.7371159835608099,0.7277283077619309,0.8385804742941088,0.8660606643779515,0.8795605002786409,1.029512110658456,0.7998782410899973,0.6552979631469709,0.654539345542097,1.4242696515481084,0.7604686051823121,1.3507946615010296,0.707637866322864,0.8036693243676412,0.8238118971202545,0.7379880332757713,0.5556683325675029,0.4890624449163672,0.5498267870098305,0.7030750053005593,0.8401963775977008,0.6328590316441359,0.9754228577146187,0.8862968184422801,0.9081922006079561,0.9471660032615915,0.6558277756099814,0.43014631913672413,0.5687848721173613,0.6799338882826994,1.0970610139719827,1.1778091679322154,1.4334077700283825,1.0438159487232148,0.8976736229361688,1.2182168590755784,1.0117569273662732,0.8021939202261227,1.1350048017276178,1.2695015619659522,0.935858932429169,0.9445685784151312,1.2027431861233857,1.207721524832396,0.8940983081165316,0.9321965167165804,0.7316438658344597,0.7271940793311917,0.7359916922632332,0.6697571729232943,0.5352333133159408,0.4832357539589918,0.478255462806608,0.5165502316820477,0.6294461019085031,0.5853703146113802,0.5992417074952059,1.0152396336311613,0.9636376948313847,0.8696713284575733,0.9540247209394197,1.1598552671461015,1.2175616689846205,1.1784156197181048,1.317646431823509,1.572429658905757,1.2959939838688421,1.2481000048267838,1.0354131365290415,0.8316875658633418,1.3022230250090583,1.3201347372221008,1.4786226917734533,1.664700019148617,1.0361963218673225,0.9132454261133806,0.505822959764413,0.42853396408897027,0.5223792291394721,1.177484905191077,1.0945055754895736,2.1341401578460273,0.7843746294830047,0.6395043002206687,1.2581688058671512,1.095005906430998,0.6193018416327538,0.7587299204399562,1.6162292391609776,3.3539009395107096,4.597447932029338,4.819619824656332],[0.39078617298192925,0.4170349120480237,0.5019052113852552,0.566012793408769,0.40566426077836887,0.32806314096926187,0.2488916288765979,0.26642120451017903,0.1973154961749425,0.17983705965440722,0.21038197362350064,0.3085162816104204,0.23327965526815642,0.22864716260258233,0.4338900891181643,0.3297280198990639,0.34784463651849,0.40616388213254967,0.42599738888403954,0.4226050727006579,0.46878467035897786,0.4680898585589337,0.5787431719762677,0.7362140120178056,0.572037946452324,0.4918008349182805,0.3953376082264862,0.36356576207011343,0.35840634960873163,0.3883190357831684,0.41990507279787387,0.3988992485931161,0.4277100179611193,0.4174531697331935,0.3950270356871858,0.3812677913339571,0.3878087079372071,0.35168799349980073,0.32319761693420773,0.3615184232096744,0.689134346696378,0.4783276640712286,0.4589590709172981,0.5581074022247403,0.6984068495257604,1.1063880966184008,0.9035352416149619,0.9411420327381658,2.0576190082980133,1.9588109617190474,0.9763095828312244,1.5708602639736415,0.694353881467831,0.5684004172472962,0.9156851581811312,0.5154182901122588,0.5497026592073112,0.49309609394639575,0.6121124133889205,0.8004748039001588,0.5702336064302937,0.7717935877738568,0.8300833752211323,0.7815024942549477,0.5147491250213306,0.6023499618597721,0.6807515622233782,0.491126766018313,0.617451660249294,0.5849008431246907,0.8046922335079648,1.026599792374998,0.7615913838276525,0.7626353125648674,0.5992022768976346,1.1347160081671952,0.4868249136294765,0.46370063709980514,0.4159089306052313,0.4512355168180628,0.509320333527395,0.5336161955093198,0.7793551426643038,0.5226663776789048,0.5413196583740397,0.4312593709927069,0.3946477647840996,0.4756082499480467,0.3998000602610266,0.5515574143881755,0.45097453348344246,0.6492118317582991,0.5204759694568015,0.43292160297979554,0.4182993529019693,0.47051748481022004,0.48035689578370067,0.3860925429491332,0.362382119997705,0.6255040783227067,0.41009484818526903,0.4799946411442839,0.36554747393422593,0.4660017930770192,0.606090282326116,0.45830967097652586,0.6292745240977443,0.3365215837017501,0.37003752302506626,0.6308458944078545,0.3114265002021146,0.26474893662024784,0.22851137993361623,0.2968730213233737,0.2929880632002027,0.32826736780694654,0.34513949929017584,0.3466323246641988,0.4387797052867887,0.479097759585919,0.41180480315053947,0.36224236388969283,0.32918889213705116,0.30352278127398363,0.26718984843126065,0.25421423303067475,0.5258360378149275,0.33203345385342437,0.28207032677716815,0.43116344179265714,0.3193606932197012,0.3856709931727698,0.32302567783036246,0.6616534516593582,0.3837827636448202,0.40424698714635005,0.767876282523993,0.3872720675405559,0.4826069948815986,0.4500679092485498,0.5781052163446875,0.46382103379154194,0.40025787686435055,0.32975437460806933,0.3002562433457665,0.3306484285391453,0.27874891986716477,0.32475885920852304,0.3238775603792955,0.3186955324580702,0.40196348532521825,0.5338893384687629,0.7833759472635342,1.59909765751113,1.094941086846363,0.5481300129838964,0.38206726502223676,0.39892042225462426,0.3547807538664707,0.40396381380910995,0.3575616937017967,0.3516201786546458,0.3238651311231537,0.34752655003247745,0.46049591302958354,0.49003134392803616,0.6101094943803915,0.8507694271623688,1.120255575640289,1.2209243032378145,1.132254930608414,0.7406071606291975,0.6450972609569359,0.36848350900607263,0.34276156854937834,0.45571154956525994,0.42828544777718325,0.6875617276001148,0.43807808576137536,0.5369175824672086,0.3915526239007459,0.39357820696598783,0.395886077229331,0.39559125509715254,0.41365770909036564,0.46420405646724217,0.4368783560803275,0.6240692141946292,2.0395006178455413,1.0998365856157497,1.3449638360551226,1.7251571837741018,1.0219684746468827,0.7846203948547855,0.44343760177869124,0.40778413202880026,0.7313161035357892,0.3554461837183042,0.44560433580203734,0.44634391393248996,0.38462733658475534,0.46897372780917856,0.38482772100902235,0.46143405197391235,0.45535107627474875,0.490780737901593,0.7178125974346675,0.54459100894578,0.6286754991571388,0.5570780791430924,0.6556344396103818,0.6081481200770245,0.6634585137381694,0.7586929523675153,0.8670555416638903,0.8958849294989695,0.8799131967925111,1.0051331559354661,0.7859696344529227,0.6523549604984193,0.6177577909809427,1.5442592333738063,0.7778323664927004,1.4245336152304404,0.7542666611396007,0.8952636472020721,0.9071581288716528,0.8264398848806158,0.5795914863622071,0.4654962415518743,0.5508957915639894,0.6343718779345179,0.6959053659191746,0.5086386836120697,0.965103092803232,0.6563626493608274,0.7162034242840972,0.7821590800670085,0.5277465382863897,0.4373678156816233,0.6327506597728916,0.7444717001647082,1.1773143912711903,1.2791536909193355,1.5080978482053962,1.07004800147342,0.9666630417687003,1.307027934785288,1.0536833757614656,0.8249746718601195,1.1334138847988688,1.2285359593995369,0.8843163618282562,0.9167286656561406,1.14014388497838,1.0975812834363676,0.8388800261754307,0.8968061834747895,0.7165271633047108,0.7451489010069622,0.7735259327142743,0.7358364267633809,0.5692900067045155,0.5021487367124261,0.514773894928136,0.4995302162591531,0.5961482057075137,0.5192186447632788,0.5080112172873168,0.8718243126090013,0.8656964296180794,0.7291055826026531,0.8181553279591933,1.0202447754077515,1.0927407774350613,1.0872757247505982,1.1876189007132099,1.4852841294454848,1.2203218985923299,1.2033163607131112,1.0202262187563818,0.878286732438008,1.2932116606378765,1.2842500745039818,1.386954304268092,1.5663751038246063,0.9549499371397708,0.9124767327900359,0.45771889978298497,0.4021948051034131,0.4518675064101637,1.1638543568862498,1.1517299531121514,2.079292860287372,0.6635624872479174,0.6552760433346865,1.2753502021830176,0.9088348210360889,0.5983893491252599,0.786258379263802,1.819832192657971,3.5247153885429587,4.902600031026142,5.2744144895584775],[0.45523455868780993,0.4795731363801014,0.5283206136370001,0.5626699355271969,0.4209351094040559,0.3794160996183569,0.2918379720656088,0.3327017369869238,0.26214592280296983,0.27872708873126034,0.33506746296998363,0.40168953201304547,0.3584212760574049,0.415793897948915,0.5310049076961219,0.45984423774799515,0.48770479549310425,0.5694055822607349,0.633797346501525,0.5998917876260864,0.6585681245266889,0.6558138696326408,0.7638663144575073,0.9079335123673646,0.7169936542385917,0.6790727370504454,0.5671469362261691,0.5291908422483927,0.5185139511975518,0.49693019687756196,0.5599545459972077,0.49931871938068045,0.5897291252525213,0.5783727065303024,0.5378554768397272,0.5288121157897214,0.49346056440245506,0.4895950590608499,0.46985190974799207,0.4866327673922793,0.7455992584006969,0.6437315332134766,0.6327479472346065,0.6906999297336003,0.8711453051334384,1.1479619412429374,1.023590469541779,1.0648697183894724,2.0009655449891532,1.8254964422197726,1.1330602565710277,1.5258951810843042,0.7486279461987604,0.6604826072369943,0.9653040858221404,0.639954239806654,0.6895845748793337,0.638334734959743,0.7331069938492407,0.9454541726437217,0.7381529046558322,0.9138351250672314,0.9455241186351973,0.9906614772849271,0.7232208255235135,0.756640071784364,0.8952607273325257,0.6798688759157603,0.7860152333568674,0.7587882307515907,0.9207701316865406,1.2092640073202843,0.9456512359069972,0.9711374409125186,0.7814722233423357,1.3083002896259013,0.6853708115070333,0.6563323867903614,0.5921687930282142,0.6113109247912789,0.6164815731066727,0.6257362468760671,0.8592674967788646,0.5855265265411325,0.6042791857003208,0.5215764359018509,0.5035259869670472,0.5884096382344193,0.5627455461214581,0.704469980224095,0.6305585179742988,0.8016728647345286,0.6832227012466263,0.5939786465993537,0.56387179896789,0.6289877063414752,0.5854482074998776,0.5254824033277306,0.4796369456344698,0.7493627520534737,0.5025857166900534,0.551772975771017,0.4498165702820056,0.520351518088762,0.6790642292789089,0.48595686646795155,0.6645890440166805,0.3535014397388277,0.3921268441329782,0.6434467440447331,0.3397323799688009,0.29360742006882307,0.2556039624441214,0.3592887256459254,0.40224684026754964,0.46734513998188687,0.5131440553872937,0.5594437080096345,0.6844062040587915,0.6621419312956859,0.6471217889959157,0.5782094282381429,0.5203837109390946,0.442302821430202,0.3228565875488205,0.32338109967441236,0.5365165000040584,0.35191147522149413,0.3059371048237226,0.4442488554395314,0.3384929431648189,0.397512032419934,0.35136049582968737,0.68610851127676,0.41380695529156164,0.4286100157817654,0.772703152399195,0.44432644478352534,0.5668208951179033,0.5228145755166576,0.7137479907818371,0.6552092500154574,0.587414057224788,0.4946927774186989,0.4591077779304296,0.46090001850282897,0.40681406295702394,0.3910226547318488,0.37762463963597626,0.3425771299827662,0.4312493597983943,0.5649785705853506,0.879286856968419,1.8454885409336577,1.1931613320397112,0.6525969708545962,0.4589469847897199,0.4608624091459634,0.44067081273321174,0.4461812991863225,0.40169655356116396,0.42670366173960644,0.4108662829295282,0.4337926829925115,0.47705076131226687,0.5382948309136107,0.5657013094467188,0.7966681764250477,1.0487971084178322,1.1740229264206468,1.068172700611983,0.7115173746698947,0.5967511711816321,0.4116553902220588,0.3987676088762628,0.5191148774058271,0.4902958960660158,0.7401193246473758,0.5007400382137058,0.5953267375801362,0.42447967082914145,0.43247393243026305,0.4346751985839825,0.43580252745714804,0.4603277876700962,0.5149040607405204,0.5348646953237495,0.7307174696131399,2.07499776493548,1.118394761459491,1.3928900070708539,1.8084166690052468,1.070088194450222,0.8122430232896072,0.47152442682087214,0.423784819230937,0.7412357137163815,0.37702450388589964,0.4724006026349157,0.46320830678709113,0.41768207326068185,0.5090517051769298,0.42211409313605824,0.5034145392466931,0.5144189494112201,0.5477549156606696,0.7797656525348421,0.6182247322231313,0.7148281045219498,0.6434709720292606,0.746352606926529,0.7064996610937757,0.7483981228031202,0.8627505702349342,0.9746603979207534,1.0130868014503536,0.9640687696983404,1.1234626378808439,0.8791117572956963,0.7484046834646937,0.7043617859045718,1.6129950241048068,0.8563537164361186,1.4805196960146056,0.8013634238638102,0.9505411071643768,0.9568826901753751,0.8744494419536629,0.6344544990089045,0.5064346080346681,0.5763612001600984,0.6532601310226588,0.7386416159207246,0.537918953038147,0.9676848912741399,0.7021131484500946,0.7640840772828417,0.8069579879114673,0.5587019987967703,0.4693474817845867,0.6590842290830089,0.779931352857862,1.2254627622456953,1.358150849626678,1.570169043560068,1.1172100910017178,1.0306694354828436,1.3932113673773094,1.1144522705880064,0.9013137841918535,1.2275855346974103,1.3192746341187842,0.9596365743381392,1.0141827576269864,1.264029736020837,1.1672374021493022,0.9407886565513052,1.0139194833794618,0.8115214632684093,0.8434889948321282,0.8632415912789144,0.8239472823875903,0.6615454716722512,0.5811266878929731,0.5791653166322543,0.5697543402419968,0.6664331442408132,0.5766544678510876,0.5650032817498282,0.9473475721932223,0.9309063019462868,0.7804425260302165,0.8729296364297496,1.0934387307132323,1.1748539993809886,1.1782119222062728,1.2910900506621346,1.579710134508489,1.3516224934976075,1.322096071418109,1.119169854955758,0.9775856304192251,1.4006647495137046,1.3792690141555297,1.48604887144932,1.6417631806770177,1.0076944793291225,0.9385128786337911,0.4833234492899861,0.42809583690569497,0.47405338223799653,1.178154982934763,1.1897382593831998,2.1453923360099565,0.7772875602941568,0.75122035568364,1.4255342393542478,0.9729164320508795,0.6608413589211545,0.8615409092923652,1.7420780521992256,3.532615245356017,5.0682273208289,5.567267299705277],[0.42209278264984806,0.46367166574216134,0.48680448644457175,0.5752294522301183,0.429936482648636,0.3673866155665944,0.2976538332645967,0.321724311054152,0.24738831014355173,0.24566960232520876,0.2871417916608848,0.38505835167799196,0.3050833223327423,0.3341516174251993,0.44912227235521734,0.3938140018923619,0.4175756009019503,0.4860022864731447,0.5590842435710919,0.518755616496946,0.5859779705766621,0.566709627765664,0.7117154199097016,0.8944316384040362,0.6661982154907568,0.6310580849762268,0.5224807468991887,0.4641109817104498,0.4475343029381408,0.44057735326361547,0.5104436442868554,0.46297607326759993,0.5726772934323413,0.5498580042183333,0.4889341466879426,0.46459032659616667,0.4420317763161273,0.42646677485742357,0.4294531329979741,0.43476142158504044,0.7043324864107635,0.5905648037617905,0.5862489364877311,0.6636847937864335,0.8482660634389063,1.1547682656280693,1.0370669474218497,0.9997202281322997,1.9691554958205577,1.8355785398654443,1.0967888997324584,1.5322643018901976,0.720154137985068,0.6397875911692908,0.9405251674236573,0.6018304767020329,0.6474419014341135,0.6013188739965917,0.6917739131810746,0.9311736842502507,0.6703463977120153,0.82995671936947,0.8749780201227926,0.9322135585443745,0.6579796782794572,0.6799920862025782,0.7960837977872919,0.5965886671856377,0.7378340099549777,0.682812589795957,0.8579203052472857,1.1670350360515314,0.8809647152937665,0.9258971236480056,0.7135271094678766,1.3075005606308308,0.628992055310865,0.6093879844284846,0.5332559595469684,0.5501310825173858,0.5838884722545493,0.570098330269743,0.833023417683719,0.5437018010239858,0.5832512720613792,0.46852402091863377,0.4486381583330944,0.5453932704211876,0.4889714080102734,0.6590480323660771,0.5778577645274771,0.7804481867087406,0.659652068289639,0.5747880084509737,0.5294780463098837,0.6211677389229311,0.5426481942927546,0.5105324121642886,0.4592396768171028,0.7499904020058998,0.4863366351769827,0.5472455079209051,0.42204131420580565,0.5128506489338219,0.6351431401322335,0.4694973164905885,0.64497914847575,0.37547435172225774,0.42204769020180066,0.6482703367164964,0.3453029876925754,0.2864850461718606,0.2578189329854132,0.3170989900066804,0.3432110487938828,0.42394404434199173,0.4531518446788475,0.5150511855179299,0.6402358531127115,0.5980759093755474,0.5734220171975359,0.5193411985242159,0.47004097121694427,0.4031804447237467,0.30930506863069296,0.31683790516327454,0.49972177239052745,0.3563618408680966,0.3082663380335679,0.4513795459898773,0.3630188150215734,0.39949956167552325,0.35991991641680376,0.6517109123279211,0.42251632939374,0.4524523131892195,0.8029444291083793,0.45516471242062967,0.5633106561539124,0.5157985423050724,0.7038852323050877,0.6487395992192645,0.5338818415102058,0.4592918028688891,0.40960699602311856,0.4195133641587604,0.35674430837588655,0.36180540036794545,0.3525516436254037,0.35207221598346455,0.43697984737433343,0.5496403736247517,0.8803452260722687,1.8475129610674925,1.1619455084494439,0.6425762426666614,0.4478876311801487,0.45129057836915565,0.40417924207760497,0.4216092088711348,0.37562308215939305,0.3930774234910319,0.38944268550659417,0.39837660294574806,0.470185388379341,0.5309846685307167,0.6000940855340162,0.8782987781566673,1.159511132918777,1.2471987026859492,1.1432772715960777,0.7316385013478721,0.6048042452610772,0.395725501091349,0.36964285537426467,0.48847397549945476,0.4613963098200692,0.7226899605049026,0.46616358008859277,0.5578377869754555,0.40762883569025915,0.41019893424609166,0.426722669393664,0.43640683378295647,0.45930370463674197,0.4929129688844271,0.4893680776924521,0.6944581591395581,2.154732288126407,1.0785291932809962,1.5089770141332775,1.876648512171506,1.1543621694356692,0.8882644832277022,0.5291267215912444,0.4888697851623951,0.7771154290632118,0.4251773018786054,0.4956411068483346,0.4631563266226154,0.38569220661359,0.4618826178366994,0.3873260076986658,0.48591959450772243,0.46275369455985804,0.5044499573342254,0.7585647897907576,0.5773312311958689,0.6897121954903339,0.5906002482004379,0.6934210371271103,0.6669283286387702,0.7354341872414513,0.8123924642649358,0.9303427815965281,0.9862545950885588,0.953330228200711,1.1317740839849406,0.8601661405561637,0.7128048235541682,0.6912783403712564,1.481608325732353,0.8194232643659368,1.4708049278897197,0.7700445413381678,0.9088297013056131,0.9162841325693091,0.8155394699790843,0.6047701489199312,0.488241872516791,0.5397398325235376,0.6359640114790024,0.7944094196774925,0.5769877274012066,0.9464415559070019,0.8301117424732035,0.8620921703620643,0.8913618928207059,0.6002345662946496,0.4366585583418032,0.619628292346069,0.7348527103674859,1.1795772834469993,1.2982482700010152,1.52238853722198,1.1168922369272754,0.9888093751609582,1.3513326950466953,1.1021182668287384,0.8871340290011981,1.2489952025155306,1.3652716083921106,0.9878014579191238,1.0367558648047446,1.3181036191151074,1.2326646606889549,0.9606134626927787,1.0379154237914037,0.8060373250803382,0.8301845726505332,0.8408075161185483,0.7794229635328602,0.6261810241996703,0.5434507839485966,0.5406353858879976,0.558697716743035,0.664031815189929,0.593409790975613,0.6050516944569929,1.0137943780313114,0.9745031671850893,0.8446286204662361,0.9430496669919932,1.1740686569360477,1.2471425869677386,1.244131605335511,1.3751120133959394,1.637498792715223,1.4170707852217446,1.3674010762026307,1.1274261982162694,0.9634158459540796,1.4247586728099468,1.4192148727066145,1.5537891092964455,1.7046517380695974,1.044431637444829,0.9341827841169917,0.48836706347527487,0.41840588335123874,0.4891352545624281,1.16509618151118,1.1265105135032076,2.1909414491479295,0.8599422580176551,0.70359750452545,1.39604298575344,1.0356168857433015,0.6160154137789022,0.8159506808611688,1.5826189187685333,3.3928609283339184,4.8660867236896435,5.272469018581865],[0.3984333794345483,0.43298143457714094,0.4713329514950404,0.5109634541102815,0.41907252193453814,0.3878240764513637,0.29946716999786543,0.41394236291854974,0.32138779878564805,0.3006765330528088,0.35370395280482286,0.4713216825178485,0.3752860881826371,0.3393966338819036,0.5227570983067218,0.45264389466944094,0.4262750799404261,0.4923706470552866,0.5115183669772025,0.5020763286834572,0.5445565538756946,0.5241586671456493,0.6712525193237886,0.8290876519847669,0.6596782587774088,0.5815196971204268,0.4789121806686247,0.44718660921607895,0.4628081063491604,0.5062528528438478,0.526475519635261,0.5256299149168963,0.5830244099433181,0.5739959198400404,0.5423456749414772,0.5013234261226694,0.5216779017386538,0.4602322654346567,0.4157968836832223,0.44516879130788845,0.7027742184374104,0.566508986228068,0.5585647177492433,0.6188673642992357,0.7784983764322863,1.1496691895198399,0.9978949902721747,0.9809860378197611,2.048021913887967,2.0037087559318754,1.0126933917541103,1.5870680619969986,0.7587766452423442,0.6263959502023563,0.9934650124287274,0.6157645481057854,0.6292419540793391,0.6127054107379603,0.6969218772027932,0.8592803446153146,0.6307888469513192,0.8322310444497093,0.8892825834604808,0.874410818823968,0.598828310825864,0.656842143223345,0.7487146945272836,0.5760890824494886,0.7021763384725237,0.6574702727933055,0.8530876275238435,1.108939364722751,0.8422194480657337,0.8707306704339298,0.6933753729358249,1.2347337400053366,0.6134271146749739,0.6024009811068342,0.5498247388092973,0.5776023741504814,0.6306351448540483,0.6264656443930257,0.8512071270947879,0.6052952784472179,0.6135978490554551,0.5362350438594727,0.5123309486296235,0.5888939556899664,0.5129905408154716,0.6651331104750332,0.5962591840350858,0.7609106754921032,0.6460588518363972,0.5856874834164163,0.552934075194604,0.6166623862130136,0.5912970368580864,0.5516815039494796,0.5419318205432889,0.7844568757401371,0.577709842647766,0.6211654244011041,0.5178940019355267,0.5986833686505326,0.704826119994361,0.5560797377870348,0.7493970808569635,0.4538077030485593,0.4828315644874682,0.7041111464246902,0.4165959521819109,0.35161746369727265,0.33185127358245264,0.3935133976749321,0.38167422300516957,0.40723828060942713,0.43374661227233563,0.4319244693354303,0.5135437032372877,0.5395901608731395,0.46859677201581384,0.44228878769924385,0.38558974509771315,0.3692737915480621,0.346862565489336,0.33876649524329827,0.48714408349307653,0.3824872003349098,0.33574522140875995,0.48193170865508156,0.39029810276105104,0.45081399600892497,0.37035002083418606,0.6608686026974542,0.4015325798877964,0.4520667018542154,0.8619576647085911,0.4479397674839944,0.5392771891616942,0.5017470394752813,0.6704759737772781,0.5714446524933815,0.4786380309280418,0.4080474772202166,0.3815391550868418,0.4114956157924477,0.3687868239813462,0.41730465152320856,0.4053158859764636,0.4202655862571436,0.5105601059895581,0.5793771204438617,0.9292655521544618,1.8215336536137265,1.0983405055659068,0.6790035078578259,0.5522436743352996,0.5419126661765372,0.479785278930644,0.5236252663878767,0.4170488267751087,0.4426459036113377,0.3885059651828503,0.4246987332881028,0.5161598766595044,0.548815371022785,0.7290758599301319,0.9941684292333847,1.315988301066825,1.3435049429118364,1.262728825875434,0.7941823971881157,0.7207856138004025,0.43785601560816967,0.4225509807855972,0.5456748013480999,0.5264219081658396,0.7849973852662231,0.5255065428759272,0.6371545433981207,0.4802132265757597,0.4768921233479265,0.46308067534978936,0.4706838997392832,0.47047953577483603,0.5307662832108015,0.4842524078535535,0.6830650900061428,2.0863511684945117,1.132933815481966,1.396534815678514,1.6679594609969985,1.0566054182960842,0.8515260001523887,0.4898519424554126,0.5133977462231547,0.8222086221557205,0.43318008029755223,0.5201077266613431,0.48646679821554417,0.4389531953753607,0.5215533683967719,0.4358428375264809,0.5281555393128198,0.5028650705699061,0.5289807646282156,0.8165818507627264,0.6253126660394109,0.7097847915276703,0.61748601761588,0.7541637688977121,0.6950678637246126,0.7374283994116828,0.8660175842401056,1.0001710367223695,1.0811137452152262,1.001900131466425,1.214982882639209,0.9347365737965849,0.7569315889494633,0.7380436719231928,1.5724590567451069,0.8746927634962987,1.4874409645379385,0.7857936740493695,0.9623637333612944,0.9902794401332916,0.8683726677738632,0.6770062452323587,0.5379880533880811,0.5885503107761412,0.6636870530700831,0.8571423674118664,0.6286863289130065,0.9563849744191796,0.817811339604324,0.847129021176748,0.853318722197817,0.6213894622379108,0.4827417372698916,0.6675973041934313,0.7721500539424792,1.22386305423839,1.3523367671376143,1.575229845957516,1.1866075339601276,1.053441869492202,1.4215700420244994,1.1841588667680334,0.9521317483296334,1.310750398397553,1.4285118839237148,1.028470933418693,1.0775728431191622,1.3663818307066153,1.263035653982007,0.9707557849378945,1.0591426570789788,0.8226896154697019,0.8707652785738647,0.8861799835126766,0.8121460340234025,0.668872486051251,0.5750781514421145,0.5647669301540074,0.5910767828468838,0.6956497880580538,0.6224317041417594,0.6207892949762821,1.0306828377697708,1.0053841093561973,0.8564687058749183,0.9566235027915674,1.1953524861826987,1.2918343870363251,1.3108205240992425,1.4307204937158315,1.6920627965195585,1.5105267316770665,1.4704225433422347,1.2202508608945106,1.0929321524216904,1.5784292497581478,1.5432771441941653,1.638150620970324,1.7767613308946424,1.0928471941046416,1.0017302520338072,0.505196313441924,0.42847062795777335,0.47626908401108603,1.2273105444752233,1.1812357859484088,2.2829226543967374,1.042491477999457,0.7780069702302195,1.4524618852901208,1.1247102670377314,0.6647558265178272,0.8184548220723975,1.534376795661655,3.3452190104780364,4.764436420907981,5.103478721406543],[0.35672490300863186,0.3737730691815885,0.43706155529041013,0.4611476672327002,0.4214415260868079,0.37508480823023704,0.2809410602825345,0.4004978352598066,0.28330246428927514,0.30245226264257724,0.36546341003791916,0.47480447069032694,0.38650030547337455,0.3671527524441404,0.554130641273019,0.4842107121305674,0.44579666802294216,0.531692785786638,0.5571734495808246,0.5394908354693647,0.5890463948895399,0.5875967698006784,0.6926176900879147,0.8468982737778515,0.6689508591017869,0.606778962601739,0.5074565364553196,0.4743635694628685,0.49545085740422107,0.5320409242551272,0.5847358490210687,0.5710325314548454,0.6603159711036697,0.6380548140832778,0.597466569309767,0.5473626838325002,0.5622575563113941,0.49590915299410854,0.4460918771773222,0.48259788606890675,0.7263421584035485,0.5914438927874613,0.591822792123266,0.6382056999479768,0.7913613889210128,1.1347613785034212,0.9795027720392463,1.0045389719074906,2.053780252203232,1.9671984054736478,1.0477486587235243,1.5838165156012125,0.7829622956405483,0.644176494203522,1.0012164078489971,0.6718383694154423,0.6795745707949674,0.6554387362693515,0.7728826195897429,0.8909717853530157,0.6953361679364771,0.908566551446031,0.9588809588127234,0.9647711219757993,0.6682522280027967,0.7197923470856216,0.810906222194725,0.6362946738859018,0.7495541699567672,0.7160734790133841,0.8910970747584772,1.2061880503116376,0.9182657988850292,0.9455123966584156,0.7687864016244137,1.3320534321019863,0.6885212630513079,0.6837729825360028,0.6237877317441949,0.6459178399198529,0.6936687903566996,0.6688427023385259,0.8937603024583827,0.6661265223471736,0.6094984490162184,0.5602985256195706,0.53770775018246,0.6610950924003861,0.5738389376759907,0.7442036443771561,0.6646145235307762,0.8347295697885484,0.7198562132214034,0.6636047448360054,0.6178425865601092,0.6905950574861877,0.6636429143181597,0.6016431212037173,0.591020178606724,0.8263160461089896,0.632190190239886,0.6820579261449543,0.5729187363996704,0.6250603038726021,0.7749419767334903,0.5727751458599469,0.7791991188888546,0.47485129088410266,0.5073793055224142,0.691783309494366,0.41953865915575606,0.34746074785841613,0.3182590592667418,0.373963172647325,0.38222535282213,0.4165485188517047,0.4488623978837416,0.4663505703090959,0.5740700332975117,0.5821486487613534,0.5301785631930381,0.4855383867195118,0.41837990055586255,0.38866480301728656,0.3412559024278104,0.31426048501257126,0.4965681871325026,0.38423631481419224,0.34148634638497305,0.4711853104674859,0.39406715074735355,0.45884409939347653,0.36873657267541143,0.6777215246212307,0.40722414557766445,0.4507917682712074,0.8729249041071235,0.43289580668731253,0.5254996872353124,0.47716147511157436,0.6701804692342876,0.5806569378930057,0.4959265891567118,0.41758247534443294,0.39550128345164187,0.43208725581121993,0.37477372003645293,0.4243633833991144,0.4160205489330062,0.4186509191033111,0.5160060981394076,0.5660137473629486,1.009803474262458,1.9178524268250665,1.08038666753377,0.7364738832008805,0.5772969422899616,0.5718001052697471,0.511954945450036,0.5354519386634408,0.41608770729582406,0.45083637249817426,0.38639626756178774,0.4306863590376562,0.5265968387589796,0.5232675389723744,0.7070790401560042,0.9632779146220173,1.2997355483237105,1.324707214822033,1.2429203326867055,0.779187948495805,0.7231422622513716,0.4294024698084533,0.4360938285231216,0.5853625764670545,0.5497230301336431,0.8385849128436316,0.5655296473364674,0.6891483593576688,0.4793982355651329,0.4850085291650285,0.4661062241051613,0.4685238739878714,0.4661620900014595,0.5334267359872786,0.5072344350566248,0.6717014561856403,2.028833251994553,1.17545571088991,1.300633445070109,1.5972516869981095,1.0044693926207542,0.8141504589341391,0.4798632395293484,0.5143867552508716,0.8437879448856888,0.43274422805240365,0.5278438992923659,0.4988750312344355,0.483386055563405,0.5583452131183031,0.4694149560347401,0.579610216875591,0.5573275928743867,0.557034130963088,0.9122085933658058,0.709213403428834,0.7496453780095188,0.691682903558081,0.8678639453100419,0.7800845656254537,0.7756358671808712,1.0048136944693518,1.1514829134585802,1.2449173047826039,1.1027334808289353,1.3604108591934256,1.0421519949104476,0.859967041862051,0.8247861508618579,1.7070179856735832,0.9582042375579299,1.572820706587907,0.8473051969420747,1.040516045076867,1.0556713433330778,0.9707696636409797,0.7618462964353573,0.5908208212979865,0.6434865979919949,0.6895794757863067,0.8900914905473972,0.6578257175368267,0.979855681067271,0.829263394466146,0.8438219958169312,0.8446829598225438,0.6364572769328452,0.49981353856016386,0.7107029219632137,0.8240040153813204,1.2858890390591105,1.4489239752412904,1.6518727385859824,1.2430969296166279,1.116633708183508,1.491566084177311,1.222707610309623,0.9991833101314035,1.3782519508876196,1.4709437509923857,1.0365571845832018,1.132107195534416,1.4320983148827646,1.262232939663578,1.0074650219723331,1.1312060638331753,0.8985826662893175,0.9546455501276722,0.9616195306203633,0.9060285165909167,0.7622273765812667,0.6582321005211503,0.6439733949481532,0.6663904796179846,0.7660447342277128,0.6744382461714243,0.6668104152092401,1.0715836568690562,1.057731191172308,0.8848207446427306,0.987160107400747,1.2529843465326276,1.3682649944094873,1.4059304203924983,1.5280240007734243,1.7855792393321863,1.651017504640012,1.6135192052098195,1.3443167850648439,1.2564294376844587,1.7346106676562412,1.667679397932168,1.7387023876239118,1.834823181209084,1.1509720338851441,1.06632494007899,0.5289826344899919,0.435510222675018,0.4979636411292573,1.2346438934848423,1.2143325141379473,2.27823072754938,1.1554374279895236,0.916248362398995,1.6006752732296126,1.0738531285036104,0.6374933040870331,0.8696773430167775,1.5128480194130132,3.3048027161964066,4.9295074078619265,5.465168310349257],[0.41011938206764303,0.386414664735776,0.42913835772657577,0.41877576332011496,0.4139121112495594,0.3718243683577579,0.2909666173205655,0.4800909231218361,0.33430368992531323,0.3455984644084781,0.42802834879105534,0.5437498092703197,0.45728489701348957,0.3996268257942792,0.6268211448569072,0.5539848503152381,0.5006985908331869,0.5731770961769672,0.5768464380167492,0.5771782088316962,0.6049250834806948,0.6325386868349411,0.7138555591654983,0.8395867539046268,0.6947739238878988,0.6134905473193697,0.5233689405223864,0.5075745950520251,0.5598016737405225,0.614973673961916,0.6552919881518628,0.6651108557948362,0.7519050234472515,0.7396518216080129,0.7011803329163395,0.6266579565195302,0.6663589810918041,0.5902273712940271,0.5078860387842804,0.5744307380768149,0.7882891565845368,0.6314637902531945,0.6507123795076049,0.6703807630508118,0.7756053840127698,1.13547908493208,0.9433348844362781,1.0618811135093398,2.1362031520102196,2.081838498324859,1.0645385867881552,1.6428283086853797,0.8708560927633551,0.7010383108503572,1.0780662806153887,0.7746217818075768,0.7577435760447016,0.7297386969794523,0.8571735537610597,0.9137829145307301,0.7370168328799485,0.9739400512780858,1.0270976954117295,1.008515593018893,0.6944115025872958,0.7546407077883167,0.8192846906969441,0.6692381975359591,0.7623415405669345,0.7395615370506154,0.9105366210135174,1.2298482188214135,0.9566546050704854,0.9490290870683045,0.815981392197664,1.3369190496729786,0.7556718053205393,0.7666486325069222,0.7143337819396026,0.765767929721205,0.8040388296211392,0.7804059551767336,0.9710354733308648,0.8026126085395223,0.6876008339394424,0.6697752577206121,0.6371213744864943,0.7745684907687556,0.6591837070102894,0.8293566281346756,0.7502518249323293,0.894836289751228,0.8047022697741094,0.7665221875877125,0.7015078468452606,0.7858856683946353,0.7561888562143607,0.7020673432855525,0.6908853373755682,0.9219239629213298,0.7455699358188552,0.8158220672938354,0.7136361880836125,0.7503385487292136,0.9217867112784234,0.6810135444614779,0.9362699087257784,0.5861860946204188,0.5869181560393711,0.760843656026876,0.4843745784426481,0.43858462266109055,0.3966641464055945,0.4189933923480387,0.3982850393281,0.4207260151085077,0.4556770503944109,0.44338047872692943,0.5484053428679904,0.5795240236278132,0.523751023956236,0.4732936263929671,0.398776151191688,0.3672444158571343,0.34496524019408187,0.339625141096303,0.4689894476170408,0.4149242039969487,0.3984245519304101,0.5648652910421594,0.45193463544294715,0.5631114125153613,0.45963490986837724,0.7701939934561743,0.498278260458303,0.5349773130893346,0.9497261470028386,0.4839395415197676,0.5155039155764761,0.471239159199578,0.6471550640402624,0.523889579152411,0.47543460939355736,0.4205189333429832,0.4348450031202517,0.4948600148997716,0.4286191385241281,0.4938218923304979,0.49988509675069,0.4985334914326777,0.6071695668564004,0.6255519949650066,1.1177100494336858,1.85167255397704,1.0313273300262076,0.844543262707498,0.690064153715487,0.6904075888954598,0.6174522243647979,0.658464811052285,0.5030361025097134,0.5381339535618963,0.44772619935894487,0.524376312053452,0.678020853799204,0.5737415199509218,0.8382151427987735,1.0524044987312466,1.4071018025305027,1.3861351666059214,1.3254022982616138,0.8408959744596458,0.8372288869317895,0.5230631036565102,0.5562491815268131,0.7071278120019044,0.6522794811152277,0.9439602849504506,0.7061604575087415,0.8287988902697404,0.6010696839386321,0.6057085700935426,0.5720911456679615,0.5600019443663202,0.5249901137432508,0.5890885191955334,0.5818984997540896,0.7343828683070622,1.9622199974933394,1.3167271795262163,1.1768561370633213,1.3766050038174422,0.8819605239464462,0.7699293503913002,0.5158920760177418,0.558116766475997,0.8833880081185692,0.4736286998234006,0.5339530797546139,0.5402376435312235,0.5569386723779086,0.6511871625469278,0.532428652388526,0.6105427340510036,0.6230339362389772,0.5913921803165523,0.9850013522974177,0.7642116841772479,0.7755194914264083,0.765226028397702,0.9870175843800019,0.8556007850826638,0.8138085949856227,1.1806925513009252,1.3271905023507726,1.3981431057035483,1.1673112452722505,1.4712682399042738,1.111505358307301,0.9331668057815538,0.8844608747616459,1.8460212098664883,1.036851852473259,1.683840603978431,0.9467747246620466,1.1840980851660932,1.1947656736925423,1.148189184192371,0.8949867071272692,0.6714158178255123,0.7518273543422761,0.746645131104127,0.9183303115891283,0.7061342098102666,0.9940209447699762,0.8082895620140355,0.8273002486105088,0.8400799442624723,0.6611280298399412,0.601596962524565,0.8263867735589624,0.9323743988861795,1.399810434936083,1.6072487837110632,1.7735823773634114,1.3648716913818757,1.2527693030181255,1.629297531677415,1.3312965481060637,1.093186100335706,1.481114061670109,1.5472945138786238,1.0672526531510729,1.1994998046863232,1.491875138654544,1.2402674224551749,1.013538007634653,1.1808514395603102,0.9453511067349464,1.0482817590198976,1.069503879415079,1.0345746197327121,0.8645461046480556,0.7265244210672956,0.7283832693001207,0.7371430601545171,0.8111634062736292,0.7096798385749958,0.7139688211723946,1.0662484989251706,1.0679573362799806,0.8780948962707487,0.9873724517124707,1.2478149945342893,1.3824160978087399,1.4648238873058304,1.5945328955929399,1.825337560622536,1.7528539372816818,1.7252536643552445,1.440846704534959,1.419136250942717,1.872424097584688,1.7554194349079482,1.7806306909451173,1.8291245713546445,1.1605094491068402,1.0955345564769077,0.5344230726039063,0.45977528320200284,0.5910936482271453,1.2037768213195656,1.2003866970962556,2.22005677008036,1.281442113964922,1.0902652383514002,1.6571314690454952,1.0099214707522681,0.5743574266145209,0.8982286721698461,1.368475697866666,3.007036010132965,4.761459909411244,5.492044013576685],[0.42447069314771213,0.4295221857146867,0.4640095467652366,0.4600039076825047,0.4459447011995514,0.42102238575609585,0.3141094463584024,0.45180440266957467,0.3120526826052154,0.31129957770063765,0.376333267777955,0.48777057942207824,0.38949304637351456,0.3681645206503416,0.5508238141519434,0.48350636823745624,0.4457289272446602,0.5021649162946146,0.5296772725204862,0.5230929997152276,0.5577058743980992,0.5630911552511259,0.6751037793369481,0.8474223572679076,0.6483018049028986,0.5791513746902566,0.4874917962776482,0.4586577956121088,0.4914489549280396,0.5366017929730448,0.5822741181717795,0.5917267938047689,0.698687560656789,0.6771656092939897,0.6264581935036659,0.5434799922175342,0.5798323258907864,0.5010458790944174,0.43810078930214247,0.48950224694945316,0.718715636311711,0.5712265235885697,0.5837332072921171,0.6071676827405359,0.7777754597489931,1.1410472699731304,0.9824262692189502,0.9772311249283078,2.042594600145889,2.020749062479066,1.026716135968046,1.6170359562589043,0.8112588774527073,0.6649958516727119,1.0238078747722166,0.68612059071232,0.6772207104123867,0.65588739424991,0.7780610854249359,0.8788547540182157,0.6741815038161747,0.8920563102246729,0.9495217108036939,0.9634763587460403,0.6510513366806062,0.689841117010197,0.7861959064921125,0.6267756014301652,0.7323418801366314,0.6989478599549236,0.8805449917321645,1.2069577043731563,0.9213773642895813,0.9359390897799512,0.7570387908734377,1.3322467449422577,0.6934226363373935,0.7018241827067643,0.642707014000552,0.6749969166858648,0.7118311907438115,0.6869826579392301,0.9110915886359664,0.7099898413307179,0.6144048997029696,0.5774640577342438,0.5511602473032555,0.683341437413623,0.5760595743485364,0.7663427079959213,0.6810642352061542,0.8453234357421265,0.7426980937150492,0.6993536906391208,0.6344702173319571,0.7251486033898004,0.6665447614209676,0.6404290018007721,0.6273564097514448,0.8785764416436623,0.6843539312101939,0.7616373609621075,0.6325404548835962,0.6910986993801324,0.8232472779638733,0.622935451414012,0.8869222274597609,0.5408342502854042,0.5648521558846225,0.731860356437034,0.462346364959018,0.38645285905138416,0.35858287724912696,0.37743629368166465,0.3720429140248118,0.4105135294417946,0.4461931991890175,0.4469792265141083,0.5664125540207318,0.549884986254042,0.5200630758119739,0.47227229575881396,0.42543138724427226,0.3883597153058613,0.35106753622107284,0.33571529972148545,0.4755826370468013,0.40984552562108684,0.38365527180365516,0.500362045594036,0.43920139579712947,0.520804292951729,0.4144591813331585,0.6803165159433565,0.4230378646534384,0.47314187226623683,0.948175716609895,0.45221377264072077,0.5224026567149495,0.4299071300195565,0.6592022177790522,0.5681739117607336,0.49379192900683344,0.41166374003129363,0.3923003975750564,0.4316233272794743,0.37559381335673503,0.4401378651829698,0.4348111215360879,0.4497123184564477,0.561669336566756,0.593881947073845,1.0808780715525528,1.8314500531615259,1.0242352310827894,0.7954438434278331,0.6317715374949272,0.6326603920638014,0.5431439617291641,0.58947314367821,0.43349297369750284,0.4676592815538312,0.3792235829701995,0.4421608109871172,0.5877629239590275,0.520583566582313,0.7824631551179794,1.064448873775094,1.4296637255338076,1.3913636867372896,1.3164496537440216,0.7830226090719589,0.7600185822647304,0.4574473902466163,0.4748911839227403,0.6096770577540764,0.567207005706111,0.8661850133461219,0.6053769182841933,0.7345143835546822,0.5153000973120009,0.5302348534021825,0.5075865608176907,0.5106427606776275,0.5085975712280565,0.5441441140067843,0.5023880088032475,0.6761034416571616,2.0080759233553716,1.2363606579062056,1.295224922106349,1.4712198935274292,0.9757057604319825,0.8414016630975103,0.5220029898117826,0.5680105263411157,0.9027606701337728,0.48203823448849104,0.5766167614581555,0.5329410871678822,0.5513210471014984,0.6253550321175626,0.5193268396625516,0.6401566115852863,0.633267510739184,0.6089400416382187,0.979375426561732,0.7870230932280528,0.8236577232852678,0.7389876374960511,0.9512280925971439,0.8601051250448093,0.829715033304813,1.1075994533753526,1.2681170471061272,1.4034616806266709,1.1741139068666622,1.54655791817822,1.1659719681897207,0.9814681236742749,0.9670090716964671,1.7722067334569491,1.1288754506682226,1.6865113252413186,0.9397275726037748,1.1305747748149313,1.1372185950830263,1.059426954615,0.8698472637485636,0.6809754173812417,0.716581385746212,0.7639723431650087,1.0096079075464537,0.7560796609350721,0.9950786634707067,0.9524376836031593,0.9358671689571363,0.906920255446194,0.7188656907396374,0.5388299412333603,0.7537603271579109,0.8849448584114196,1.3508628940952634,1.5807249272281443,1.7416129734211505,1.3643183351694155,1.2424160297965057,1.6143442243290278,1.3207613334800963,1.1135105697127239,1.538239967293883,1.6353425290192016,1.1538487608826833,1.2800761805654386,1.6164698806949116,1.4067526039251466,1.1151351226772641,1.287951437320256,1.0073681316974963,1.0893160765952752,1.0931296914525412,1.0313162399202596,0.890384811489085,0.7528301475871303,0.7359029278106767,0.7810155097400686,0.8728458202526426,0.7791324886825879,0.7942103621636866,1.2106648885639273,1.1816738245262706,1.002495451875388,1.126489429842103,1.4115427943396959,1.5467344881353533,1.60742682522957,1.7719420661335328,1.992363596376233,1.8922714212229708,1.8280274152437803,1.4974292450564701,1.4350246899335242,1.9548277826171534,1.8497206402490463,1.9145198802264742,1.9538109763795688,1.2408403712655625,1.1182413965990963,0.5587787799756826,0.45917280106614367,0.5474112307819897,1.2279500110289105,1.2018768669636104,2.25977268327962,1.3917803590129083,1.0593746240234172,1.6462584722937388,1.158852603936973,0.6558169510308097,0.8870101990260365,1.2225649109895285,2.77012532161225,4.415336178865947,5.014197831317341],[0.5125461199929265,0.4958427967423961,0.5334327554053608,0.46201177461677573,0.4674574399821014,0.45892874003439676,0.341526680938553,0.5335474975070692,0.3628074773850275,0.34247948924915805,0.4190302590462206,0.5539545598502379,0.4549440086658048,0.39859360975296076,0.6263348220927922,0.5674773316232464,0.4932027890253495,0.5634273807385693,0.5635979759574647,0.5802919393994992,0.6060550382871284,0.6220021832659052,0.7068317073682522,0.865929154719958,0.6842476468209397,0.6097485395577884,0.5353515141613716,0.5068150085372543,0.5566856919443453,0.6215057007148026,0.6748781705384227,0.6986843656078927,0.7999160498697933,0.7871416562917912,0.7334918605715111,0.6342362048787434,0.6894616763775108,0.587485441538406,0.5186912422093949,0.5876267435220341,0.8156203759599859,0.6121445574715347,0.6259276172712697,0.6586121254150917,0.7724020767480388,1.1558636034465228,0.9685573489822202,1.0399360426325952,2.1348102420264703,2.0867249211458483,1.0362718329885068,1.6769538660208287,0.8591733646165555,0.6928457610375938,1.0864816223301295,0.7724496167567324,0.7557885393935863,0.7410908672167421,0.8811745842530848,0.9198228519965352,0.7443952684783673,0.9858671097550141,1.0484174153931096,1.0413714657074986,0.710618296135909,0.7760218224592949,0.8311877546588486,0.6838520903237505,0.7755070347731955,0.7598257480331544,0.9356554211632654,1.2561750342245335,0.9813395222383272,0.9979340905541854,0.8389960997553175,1.401188771876394,0.7854206435214414,0.8059588490541549,0.7432860141711994,0.7707701321691361,0.8295556610693866,0.800474697380906,0.977047490113114,0.8441247529807933,0.7066771727956769,0.6802638070362049,0.6383253176652355,0.8168213686020741,0.6715792857479914,0.8673056127642675,0.7841374989995398,0.9407118858371879,0.8433505329296128,0.8070953283505348,0.7249732046770903,0.8117151407942422,0.7701235897227239,0.7387840450136909,0.7233907840851841,0.9604757054842085,0.8023425555155134,0.8877004089165538,0.7680953999635917,0.8052909258561387,0.9378929196519199,0.7009184448003699,0.9774226496004816,0.6636381737874292,0.674403862242984,0.812322958514725,0.5470928885105697,0.4696576844180247,0.4303314991613415,0.4106884149276127,0.3926474872716482,0.41685985270473686,0.45043270104455774,0.43867400179698224,0.5554540868264414,0.5657944110525225,0.5174844663994916,0.46992585122677333,0.412053638742271,0.3714786773811143,0.3618297172194329,0.3660982348271619,0.4679920726720774,0.4412746430678952,0.44450324087286813,0.5784712469793882,0.48667660502698457,0.5735043743214012,0.487048952739808,0.7644219187425636,0.5086970674861528,0.5511011201300586,1.0227922766991813,0.4924738052653699,0.5178247135516709,0.45563419625218543,0.6391025022239328,0.5345983699957035,0.4816959733855476,0.4229395116481937,0.4293851908325183,0.485086985717814,0.42134191577721847,0.49611705811297513,0.5195313503133031,0.5269142152631815,0.6627231627201308,0.681924861094167,1.2038402424481343,1.8305785012272293,1.032240588961076,0.9016385837362487,0.7413025512293474,0.7432117792157102,0.6522504646735395,0.6901139771814316,0.5038795949656028,0.5427474622533909,0.4414182537249644,0.5173942587673278,0.6851679548826609,0.554693041640136,0.8738818135811983,1.1147376045802586,1.4958370883043697,1.4354211625729854,1.377645107981028,0.8440425158715498,0.8564079986069273,0.526476276270648,0.575832290334968,0.7272171543259769,0.6884434005972991,0.990802594634049,0.7444759325305843,0.8432934233770573,0.6113260498946913,0.6107354216022247,0.5792156966906483,0.5607818501627474,0.5435749304391749,0.578267266409513,0.5818043219238482,0.7236280301646987,1.988863562156808,1.2912914858758826,1.20097529406743,1.3982963774868458,0.9394311080537261,0.8391266123575173,0.569482945923587,0.6086460989236956,0.950272267490699,0.5165316348073485,0.578958029113734,0.5689191898821946,0.6321315488024272,0.7377968544178743,0.5857554750242268,0.6662923769085157,0.7244448341097319,0.6811394763104339,1.0024423766464008,0.8422417985539598,0.9024163940157769,0.8080713062294578,1.035603819267721,0.955086832494929,0.8962343396682148,1.225019261422708,1.4028797377682485,1.5099302448415388,1.2366874369379768,1.622246120293379,1.2251141002626225,1.064356445982018,1.054458073441686,1.87765978163339,1.2845194964041773,1.8577424362884538,1.0869861719174467,1.3046520563348432,1.3099775080699545,1.2637648227939888,1.0208613914776414,0.7737563610270021,0.8518674158906682,0.8423418804031761,1.0171302073042745,0.7840553519637672,1.0259123123131477,0.9315550685225275,0.9015095796815077,0.88881476764797,0.7166921962362187,0.6540721364552042,0.8938181952793055,1.0394582570016462,1.5306267187495592,1.7782116484437875,1.9332571042029456,1.538871364470413,1.424281249834411,1.7865584083500679,1.4422042745326886,1.2337503953216846,1.6644518965920132,1.7308670451525048,1.225268113552472,1.391195910275209,1.7140030352046998,1.4403713645065575,1.1855255372538305,1.3932074954349616,1.1190794092797676,1.2306838721612623,1.2295416050943888,1.193338358785779,1.0240142757585042,0.85359374084522,0.8525398740936723,0.869309466422013,0.9312051598044995,0.8152778375435229,0.8434731471542087,1.2067467883112324,1.1822126033597928,0.9839106704087289,1.1223462756616838,1.4205260656136554,1.5591730545035443,1.637837231320462,1.8201265429584812,2.0234469642007857,1.944670261499173,1.89031869713641,1.5421652550351856,1.5175870113873835,2.0284528687509944,1.8818252604372108,1.9238116710334159,1.925680500034285,1.2334152553858817,1.1118227835882226,0.5580309506220362,0.4817037098198867,0.6118975679363245,1.1923434409398725,1.220432574855882,2.205137093042271,1.4089219268349473,1.181356685410307,1.6450073085421177,1.0865760032142873,0.6713204260829164,1.002121378022099,1.2216282375248402,2.432075969225449,4.1568665391767,4.943138837609559],[0.5211021808387004,0.5014142548987263,0.5284346331719113,0.48843355626701407,0.4836961691456248,0.46843913236881674,0.37138081623715447,0.5517223422899286,0.38945705572394956,0.38251618316903047,0.4516187448282048,0.5785422245424268,0.4747300618625821,0.4311180727675291,0.6239626129985377,0.5626352678032447,0.5056966579000042,0.5721445023843668,0.5755028144242779,0.5750655948706374,0.6050645074606047,0.6141609193957323,0.7077996541499898,0.8659565877509489,0.7024178172749379,0.6363210463938056,0.549585249083432,0.5242557423109971,0.5493770170491277,0.6218874267590582,0.6788863439128761,0.7013396493882657,0.8102426112668533,0.7957713619648759,0.7293552442082196,0.6326660415737461,0.6815695220423758,0.5731354904482376,0.5126238455886047,0.5705773650443609,0.805172344508882,0.6125467709836947,0.6243019935747022,0.6646769830450967,0.8166232947249821,1.1809606357134026,1.0100701338431766,1.0430630084181027,2.1132971739778044,2.083040589543475,1.023009175450085,1.6731445070222688,0.8456271156539928,0.7012324700127515,1.07565555114763,0.7450083990521169,0.7397146442001035,0.7224167716199208,0.8705659889997823,0.9213912254272283,0.7469873689429198,0.986752220234828,1.048994433380791,1.0578884589580058,0.7109065125736019,0.7789538485687852,0.8286948653428781,0.6644886433400913,0.7718766653600984,0.7511660280746928,0.9163132168264113,1.2549448363247155,0.9549673177444699,0.9902682640551921,0.8354011324039531,1.419119884367052,0.7784256238411,0.8117328644670084,0.745024743881455,0.7611659986951289,0.8113261394737399,0.7942043195271946,0.9764826730058117,0.8373318334212162,0.690230916039641,0.6636771171785429,0.6227250952960097,0.8077797475735315,0.661398573132767,0.8732986311068238,0.7837165388033431,0.9334656941894117,0.8425227953552037,0.8105653203864024,0.7293795318443843,0.8211424963331146,0.7695846571843065,0.7501554312163234,0.7300977710188558,0.9662130960045507,0.8120893463077801,0.8981016338513895,0.7696747585735564,0.8088379126305363,0.921717641229737,0.6968421474744919,0.9803258764362281,0.6668115926819413,0.6850449427178709,0.8144386736844066,0.5705535980923889,0.46723159974102124,0.44186713930454513,0.42110201128978936,0.42535066240550407,0.45473570800268087,0.5141107788464252,0.5082708946015234,0.6191462178848787,0.6019293746709182,0.574261417203004,0.5302477110760905,0.4764933245594398,0.4161637387155353,0.39893148830976327,0.4029349004916136,0.4794797849388664,0.46362677430859434,0.4706611256281128,0.5746455450071354,0.5125825711662741,0.5886748527100992,0.48977471604388717,0.721776085033828,0.49884279961817996,0.5351078721569607,1.0059141885220497,0.5086746674890625,0.5734028002696845,0.49639855897612745,0.7208859713395618,0.6184103963908971,0.5246479089771074,0.4647543611906373,0.4412069978792707,0.47692930315257703,0.43381926294367124,0.49999698969498163,0.5242677832020736,0.539191762042246,0.6820191316613051,0.7012321142766866,1.2070554750953848,1.7907484032791106,1.044712809397113,0.9160444594429525,0.7481340527470893,0.752916725853207,0.6538893863445097,0.6845009985539393,0.5112619018297275,0.5354650445911071,0.4392519176943101,0.5018453425902983,0.645202546843903,0.5965954278729169,0.8801428388268104,1.1566200198718792,1.5476329550310366,1.4531232397123575,1.3914445721081528,0.8438569713207794,0.8392590801522274,0.5231679368989706,0.5628585509939996,0.716095000356287,0.6848255347456232,0.9936307152280734,0.7231611011769284,0.8334728621012947,0.6015441481788653,0.613191589147785,0.5857703879878646,0.5814661400847805,0.5610260787958495,0.5863083190788881,0.5554665559284174,0.7154149232227043,1.995789840506394,1.2599773968876544,1.2493204850070168,1.4262136905853446,0.9754404656888539,0.8721206629186958,0.5950456043859857,0.6449413610066216,0.9512120832360944,0.5464142126451591,0.6313891987282505,0.5868192937037701,0.6277031826135668,0.7193924841703064,0.5857864043831535,0.6787559015268836,0.7136838464776827,0.6700221314029451,1.0144606677162686,0.8372322981839128,0.8814800504889782,0.759731445930972,1.0019937942659278,0.9085462664361624,0.838268651225049,1.1823625929599801,1.3635071484291656,1.5278176236599943,1.2239769361915795,1.696314695230189,1.2479708920177508,1.061322923905787,1.0716270261426781,1.8181383668368334,1.2958340120956973,1.8201197131519034,1.0494595286638697,1.2548421453383325,1.263019863168223,1.2057292966037412,0.9863885153211223,0.7821302350563046,0.8400404037771331,0.8619101751326189,1.110628249701719,0.8655648138559309,1.042195624155695,1.0504923182188144,0.992226505656486,0.9544799631725784,0.7745874687476102,0.6270184626655052,0.8610949625799568,1.0056243561011915,1.4958568131965453,1.7530742393224301,1.9176154758338848,1.5507091773423864,1.4240565239448155,1.7889077021942226,1.448906579184466,1.2325723894670904,1.6972465562579377,1.7805259285372692,1.2521758937078,1.4299003236303536,1.7875238156797835,1.511526041241307,1.1974475755418899,1.4295143047278907,1.1102313631669944,1.237170868431194,1.2257610282416638,1.1734832721266601,1.0133616577992706,0.8334601634781754,0.8302396506925044,0.873899999224229,0.9434412370293662,0.8478599963920191,0.8876215974778753,1.2859273084685179,1.2493447451819937,1.06323278415846,1.2095731959739138,1.5361623414663683,1.6861720482004,1.7763356870978873,2.016564150535866,2.2042895599692756,2.094431317610122,2.0031279839436897,1.6089654558428357,1.5601552864305215,2.115193975028362,1.9725660295995173,2.044669312779936,2.0191691009631483,1.2987098826132237,1.155746121899241,0.6029494453802027,0.5128144115462075,0.6233066712859329,1.1830038518132862,1.160061907936487,2.195442261627908,1.5084511573103907,1.170448505794599,1.6054044582338227,1.164226178751283,0.6672797554958976,0.9514408544494793,1.095693367646268,2.0613420918815466,3.713760690150968,4.521235614380126],[0.6907052436721866,0.6808518537516541,0.7524793943874565,0.6089237810561754,0.59840577363028,0.6341692461127811,0.5259052301673729,0.7125784507214047,0.5339456506277471,0.5024390132493392,0.5764063589856965,0.7472924150435624,0.6382714955210119,0.5300823511004964,0.7578653355112253,0.7375946209723485,0.6412859055863643,0.7045252799387238,0.6683372370253037,0.7208539852552008,0.7234927165584748,0.7425018457669966,0.807747844074718,0.9459683442657881,0.7962845316599446,0.7176887819847694,0.662266425589116,0.6449363180733481,0.6959373695217286,0.7932878511735867,0.8572592757426318,0.9096490657532486,1.004901202213728,0.996832351397707,0.9487492310991135,0.8214693650946153,0.8973382381018836,0.7643996776652635,0.6912764028426746,0.7814543024297032,0.9674736686854711,0.7389904316139873,0.7435712440898059,0.7817803481409065,0.8108707023067551,1.2187994322367115,1.0280707907848532,1.1152177198606033,2.232003683412992,2.2156517734854515,1.117983793497109,1.8191615413862001,0.9834867542084659,0.8561054616211193,1.2380921739180657,0.9401667439339555,0.8978399355937747,0.921644286351743,1.0753254197119406,1.056065115703966,0.8650199041821209,1.0650875280349155,1.1439105208473852,1.1276377281856163,0.8239459190016567,0.8786677877812844,0.9234966689309944,0.8095336258702828,0.8493641639936225,0.843544102235457,0.9717397417904576,1.2883119330374393,1.0549826132013052,1.0836707255101423,0.9666916268404293,1.5124106122004743,0.9559885749540569,0.992042646749403,0.9476176750087613,0.9683528754220881,1.0429162473369349,0.9819067627233408,1.1562782097659956,1.0584953776438921,0.8823552371529653,0.8739703804144543,0.8211989066262789,1.0383013893071389,0.8654206958798797,1.0389829495952672,0.977548844992326,1.1163117253415087,1.0232583712439443,0.9996191074687727,0.9024228978068132,0.9636671617388842,0.9098496492591579,0.9316717001713619,0.9248144936691212,1.1674207947253397,1.0422174566228468,1.1318439852618252,1.0134640438136882,1.0230358448232377,1.1248545389952866,0.8794466104379346,1.1248791727833187,0.87865013777263,0.8717593991236046,0.9511694793877485,0.7372355802130633,0.6723776248009907,0.6171658082326479,0.589402143870787,0.5429465635199195,0.529942283014597,0.5361087611818305,0.5240679853093039,0.6097350996887073,0.6597006813189019,0.568414677520332,0.525826378013295,0.47919918790074356,0.4799921901821044,0.5004422859818194,0.5208626475133714,0.5923795212785179,0.6127734563610173,0.6318416260855899,0.7764257762772255,0.6780502158958651,0.7688026411693399,0.6873337964998828,0.8999484915180048,0.6972888593226244,0.7469830803907056,1.1726536137784167,0.61342526879208,0.6053595011460925,0.5757363900218189,0.7027480118314462,0.6171288191528549,0.574911332008381,0.5520404681475991,0.5869172695687391,0.6527530307609417,0.5799058648460563,0.6623764320816748,0.7010619339489506,0.7083690302284654,0.8607486549342248,0.8796650318527155,1.369615713060022,1.843632535067508,1.1626208076701532,1.1101813804090608,0.9500058306999329,0.951679246531604,0.8599712250100002,0.8945049721755355,0.6830821121880714,0.7384219806423408,0.6197673415987598,0.698123720744355,0.8725890776615339,0.6948874415758167,1.0430924331292706,1.2466034330154359,1.6301439818197783,1.5232649508579557,1.4947158549442936,0.9585187596378005,1.028552700673407,0.7035506608725195,0.7847206678678605,0.9390146633004816,0.9095504152850469,1.2036617073044733,0.9856898115991266,1.0327154688102766,0.8220563649665193,0.7929015987385358,0.7724527893111321,0.7663168994952406,0.7398335390151246,0.764171062525784,0.7450558142136591,0.8764100779330536,2.067432068295084,1.4152775880735073,1.226917222677338,1.3924964208767463,1.0363113333953518,0.9611345434171351,0.7431783978716461,0.8020287741314363,1.080327556101014,0.6914544908296993,0.7361583725826149,0.7498794455956728,0.818215600525141,0.9262541451362534,0.7704887354665382,0.8220815296937105,0.9137069191465976,0.8455530603714193,1.1069738221226468,1.0049862037740815,1.0470762395425464,0.9564410890997542,1.2008421903282167,1.1231623957836965,1.0310384216844866,1.3980579263998314,1.6016621031850962,1.7096096816567035,1.4131429527846,1.8353413523732776,1.3980509760811073,1.245032475968809,1.2575452273393002,2.04414527204465,1.5050576231132837,2.013829969180369,1.2666372968736013,1.4885288017477596,1.4800568161052596,1.4619936125996738,1.2397389295836632,0.977891751037476,1.052068998817628,1.031115981929884,1.1724589477791316,0.9567803546938689,1.1610110974003842,1.114275892221658,1.0222900114399465,0.9958363146001714,0.8515568666466764,0.850208095191765,1.0844002692565133,1.2179888867650526,1.7289669133667291,1.9850279567937201,2.128599419409735,1.7664004958715858,1.6448286258485765,1.9743446386970636,1.597651545204213,1.406499529443619,1.8344006799930515,1.883219610953077,1.364174830593227,1.548852013273239,1.856919660949401,1.5406802232703658,1.3051341213060559,1.5453144838386377,1.2903998307130138,1.413925101538816,1.4131739494403377,1.3948038991403198,1.2312917813229585,1.0317599809245148,1.0484827511519466,1.0702775404805565,1.1153278146401358,0.9983817571340445,1.0476245906733115,1.3627617754730188,1.3287617273751753,1.1296323916011775,1.2591681101760395,1.5835830990559525,1.7436664534190855,1.83840440223207,2.0639612627904165,2.2435569459746323,2.177328747061115,2.0929037846178487,1.7040567751309441,1.6884037663189548,2.2086520941632735,2.0248444963088694,2.0684215334547136,1.9979403209369564,1.3275754899717318,1.1815209411764818,0.7136044935557431,0.6537328927581998,0.7878718668508673,1.2057479514903213,1.2443942747849515,2.140760782494602,1.5106647493012664,1.3183439264573875,1.6172714578432554,1.141222334370775,0.8146779415505269,1.1012567276891774,1.2017404622860315,1.9639746929925084,3.617695778739014,4.546213509862195],[0.7154107090795655,0.6990719623246261,0.7979013429213291,0.615879460780415,0.6406050735046941,0.6528317497401094,0.593510603565192,0.7974655643216094,0.6659217303307324,0.6569055771155157,0.7291482251282143,0.885435552044526,0.7932565014613514,0.6869481050175937,0.9082849526910936,0.8786971211520169,0.8051484654625127,0.845593124476958,0.7842048398845712,0.8666484232886925,0.8643524049279018,0.892690002059251,0.9336214132029163,1.020006313903454,0.908740489129707,0.8054934316598946,0.7728416665870281,0.7605814987391583,0.845186512255008,0.9269498092230716,0.9914880149328886,1.0502135271377526,1.1338722461672175,1.1293089141099117,1.08350825097792,0.9638520934789883,1.024892653997483,0.8927847830147907,0.8156817480016091,0.8969632898901283,1.1099316474942562,0.8695418266713993,0.875340646954008,0.9038483463399654,0.9295920726138581,1.2947266164585376,1.1064423348165684,1.2621438514226297,2.2757987290047224,2.310073820353474,1.207245491701116,1.8886500162124773,1.1176498425069719,0.9840284364650915,1.2989375664202794,1.0580735754805237,1.024346651544137,1.0352750778406214,1.163899154179904,1.1401767781679089,1.0168751596798267,1.1787063126494133,1.2576037610307045,1.1990630084234013,0.9740498839809891,1.023074701587738,1.0877795648489157,0.9577071184137262,0.9607176732588638,0.9832536830220518,1.0507874255696958,1.3669426840632628,1.1672316802014917,1.1653167558989375,1.0816095841526503,1.6001979415216625,1.0799435367199517,1.1227668704782168,1.0815132985234515,1.1163622480855444,1.1746115190353124,1.064477519481187,1.2539594816514343,1.156856721614359,0.9821186106929534,1.0005702631390934,0.9587278419754476,1.136787693082814,1.0152113851887288,1.1594821943555418,1.1014621999721879,1.1935747712112301,1.1262143140343204,1.1358288709906184,1.0346147179952863,1.0804258021281048,1.0320128165203195,1.0617226009518406,1.043569324367821,1.2936139439885666,1.1662676162825385,1.2489336732034726,1.1413366617319052,1.144557057327398,1.212835939100468,0.9855873859483082,1.2832979471728634,0.9667086788177982,0.9113024296983714,1.0122180186381802,0.8006678350981419,0.7654614177445517,0.7255334008446349,0.6847167129269317,0.6825957705831615,0.6616571831523742,0.6629553744808262,0.6252288154942617,0.7542246286794831,0.8156084183377948,0.7047237389233951,0.6790591306590879,0.6000270635141048,0.5911679635030131,0.6008538505528271,0.6201217710687542,0.6398920375597642,0.6866423722985475,0.7157423809681056,0.8660779490846848,0.7361688738221518,0.8365959851045617,0.771831826734975,1.0135103623048698,0.7887180753115979,0.8393335880133432,1.2760359271997634,0.7193752686551753,0.6396582491964661,0.6448909262829737,0.725637628256735,0.641939612600675,0.6984323831789729,0.6591678778713949,0.7210961706275099,0.7816962515513852,0.711975680294854,0.8031878069396982,0.8145154093242348,0.8264267359255107,0.9494111495116984,0.9896080377594895,1.430371686447469,1.7391321222946334,1.2570770508714175,1.2209232837062518,1.052682914805941,1.0763295751236308,0.9885838600732358,1.0251221028226678,0.7823105084398421,0.8636833768985537,0.7300725122091017,0.8192812526437925,1.0330057632346175,0.8199657011754029,1.1798558922369904,1.3627414851910822,1.7373662584757497,1.5905826652096964,1.5795515997713483,1.0517249246353628,1.1422841996642843,0.8287852389274003,0.9057936754120351,1.0365152558203579,1.030449123806475,1.2567589053136925,1.0884240383004784,1.1098766261039994,0.9214432493419328,0.8983437330339931,0.8606961770077755,0.8510281849432844,0.8246434846913347,0.8324038619486612,0.8382057220158596,0.9213109148511742,2.012262857166989,1.5205310630475368,1.210909112575402,1.3585527836594449,1.038517970712483,0.9874440803142798,0.8086902441832565,0.8288906461489617,1.097305539426961,0.7311663954166726,0.7484445598633626,0.7780163702333559,0.8535754885670227,0.9653417893086255,0.7889869077535644,0.8235095300847058,0.926709573339131,0.8475084494545,1.0941974207326322,1.0047479356811222,1.057428941233669,0.9481317720459825,1.2131927444434958,1.1491238480577508,1.0278382062386426,1.4415148796630655,1.6718612941674595,1.7513628181515175,1.449768610705225,1.8650405565753987,1.4144411306513007,1.2865053887594724,1.3053458010363117,2.0749208033679643,1.5866693157024425,2.0693755488595054,1.3098288860625427,1.5401618212175803,1.526406079879458,1.5171731130821704,1.2890655136789373,1.0175781976799079,1.1128840125719721,1.0715632652893625,1.1795010410395153,0.9883344900447362,1.189734475887517,1.1003534247486588,1.006191627221941,0.9895219136505863,0.861065843075243,0.9086025779532605,1.150239365267998,1.2791054693256874,1.7777606702387971,2.043152470798877,2.1891181426496313,1.8298269334593917,1.7068385698287296,2.0514255961360646,1.654295803072533,1.4351486410254946,1.8714881765958664,1.9157709614660343,1.3727651241830479,1.577013991041372,1.8891633410231683,1.5418556354763706,1.3075315543814527,1.5661553932106258,1.3104871667223348,1.443429860349105,1.4443124859835685,1.4283942753838765,1.2606062304573489,1.0551362917842197,1.0765062677790194,1.0990619014489438,1.1359007581830198,1.0126614648467507,1.0755048975154817,1.3573161211098606,1.314711492471852,1.1136308024023929,1.254151609574284,1.5782017307568044,1.736137275477173,1.835441093137829,2.0776041694462934,2.2320049722227346,2.1903495771389907,2.1050349248550067,1.7016208013385659,1.7001778624017205,2.2173905587956324,2.00429300700246,2.035772439039143,1.943810625458151,1.3083362877714027,1.1678367834467476,0.7125124884561145,0.6790770311558105,0.7961494481837624,1.1691092862312735,1.2247385198649048,2.0749196276408597,1.5330968858852465,1.3406749811529184,1.5590856239605921,1.1507864480199146,0.7864442308476599,1.1475249915707577,1.1981799635352715,1.6735420804424452,3.301564624337518,4.297891617056872],[0.6348542113282674,0.6311634565486326,0.7059727958013129,0.6289663480125144,0.5853500612283219,0.5833739587561083,0.48067428191545025,0.5881850294771132,0.455583392270841,0.4382411254119385,0.4889120235793479,0.572147580840501,0.49741192885629326,0.45990718893525134,0.6146334744867866,0.5459820674596471,0.5265791898369299,0.5562925544733844,0.5568858974893129,0.5646751677942947,0.5918980503781947,0.5894177428011855,0.6844006317528323,0.8053282196425898,0.7327089654570463,0.624640902409072,0.5628280844007444,0.5520138842449509,0.5648211728665025,0.6034339420450127,0.629854463936497,0.6622886966471786,0.74302471176201,0.7373493100804474,0.6955727396247099,0.6077296803583717,0.6548421852980499,0.574348928285895,0.5305432799034819,0.5961577159166574,0.8266308719754724,0.5910703648235816,0.641008033224299,0.6304770400295256,0.8090937897740639,1.2095599408096152,1.0215025559948157,1.0618073954201108,2.10012840812498,2.1497770676363426,1.0252754302034321,1.6777825340837598,0.9080571145716069,0.7323987071350986,1.076432624627761,0.7658214987556861,0.7318257659024492,0.7118406496481138,0.8507996706235073,0.8963645102028576,0.7246521445474718,0.9641484460310467,1.02480616704308,0.9843363805273064,0.6518905700303141,0.7347941912471287,0.7791163924724663,0.6257382753181964,0.7404711969269946,0.7026946188771457,0.8860817492198929,1.1963557996263596,0.9116648357421616,0.9058728855307205,0.7928326613242025,1.3298702617311264,0.7203300307829807,0.7563973510386129,0.6964566758289601,0.7364247691930447,0.7960482170043726,0.7981478704540503,0.9803451903903554,0.8548972499278576,0.6849329330271489,0.6697068304059424,0.6353144156751829,0.7697805104121924,0.6374751511955927,0.822466220961567,0.7235322377853108,0.867741094000996,0.7875500449630949,0.7615169345297937,0.6854907656601658,0.7661304825917561,0.7459463754297273,0.7016423681112636,0.6845979178732959,0.9228481595571206,0.7616524703260564,0.8593149264390775,0.7417533641694533,0.8301403851899998,0.9704858247096659,0.7785651984442787,1.0786269742729964,0.7062604797918873,0.7034082112125285,0.8331293990847378,0.6057058423360815,0.530821243634269,0.5131570518881168,0.5050733815311377,0.48456256749603954,0.5144679818667034,0.5709080884875813,0.538239941808052,0.6242586772672496,0.6012393049784495,0.5879063209166485,0.5593828311473382,0.5060294857661322,0.47953091452999935,0.4714085809054176,0.5004192718434755,0.5781694921565304,0.5369535873385318,0.5530978740466139,0.610935342590168,0.6352518352759466,0.7276433124349125,0.6126557693195953,0.7555269298247724,0.5706640732173307,0.5726878118011406,1.0617751352705516,0.5845912192562489,0.6417289873988479,0.5144107087028827,0.7571274827434271,0.6619028419508434,0.5801114953852571,0.5415608731235438,0.49992981162374023,0.5123898292543041,0.4918151166106743,0.5433041750679892,0.5487063680917315,0.5611215167322967,0.685721298430635,0.6866563514195242,1.1709830850977452,1.5884993244016536,0.9635576246173211,0.8710163214746304,0.7104563227510274,0.7436198496682112,0.635526798693896,0.7154637812345958,0.5567311139816277,0.5590095819453328,0.47652479283102633,0.5375086475034191,0.6948286841251101,0.6172674566495586,0.8978426494202919,1.168845423401419,1.5420013046161245,1.4070772108638874,1.3450880250962651,0.7929189961838652,0.8196119317867447,0.5757347641222096,0.6045528155024124,0.7317675640519924,0.6601486234043074,0.9600622988672092,0.7239307359970331,0.870751665393266,0.6377281620990222,0.6953546550335055,0.6791571113706697,0.6880942895079672,0.6969514812750661,0.6948296134794869,0.6007050490709676,0.7714585132782069,1.9007699785509222,1.3982982810218363,1.236129786790046,1.2848323338716752,0.9568407227441326,0.9040688985554629,0.6956513762466052,0.766966406275165,1.0552207504239521,0.6719702785634727,0.7533323624534334,0.70218662211807,0.7368678765995923,0.7817416219687898,0.6805288029647426,0.8093851042666957,0.7938503997221581,0.742798406245627,1.13231655138788,0.9613352056075851,0.9138534526392335,0.8776849651318602,1.14951946525884,1.01118624317442,0.9104237235605737,1.3375749624339226,1.5176126594310764,1.6766880970460376,1.3046397048084235,1.8216679499574002,1.3736567233274146,1.1667495583878948,1.1731417032684448,1.9293342901092454,1.3853022602423468,1.83399644517317,1.0816583443057606,1.2717793301658733,1.271673765535985,1.240225705104258,1.0670728152179851,0.8811554855254444,0.9182928184380025,0.9526045263896328,1.1927315982740117,0.966409955985022,1.1254070816781805,1.149237652223961,1.0581560392041565,1.0471797181782332,0.8938782861662966,0.725397441670529,0.9112968056851409,1.036556913170487,1.4866339790355112,1.743405247623267,1.8972121095558887,1.5625269412132718,1.422657227358201,1.7714894107160555,1.4357981488336207,1.2281213892780822,1.6710195223538185,1.7536178757118497,1.2312082241160014,1.411655490614551,1.7684970441670067,1.4936131673075832,1.1868992216301733,1.4136701529119065,1.1383008812809894,1.237374244700819,1.2343378759349612,1.1887944939051829,1.0556210327106976,0.9098296095554415,0.8959360469472647,0.963395471821806,1.043054742248218,0.9574569946255787,0.982401336525716,1.3595422127383712,1.3426518013336777,1.1498681944953577,1.288409556708,1.5894545981864387,1.7763961625917923,1.8791791333809644,2.107910507217948,2.27668306551176,2.191989701807229,2.125893942350976,1.738578674828089,1.7224867062112201,2.2627322504581686,2.0929308463543643,2.140113500706939,2.0927488409363972,1.4015711850364614,1.2849271540312635,0.7220330616342043,0.6079379045174411,0.7488359601178941,1.2688164748398414,1.2436714306231391,2.2118236275568544,1.6795620136659728,1.3281721575595562,1.6866965125842552,1.2653657005641048,0.802918772586733,0.954396431847683,1.0558325562608515,1.9524117806923904,3.550659206680215,4.33254839102567],[0.49136498115172134,0.4661571123712972,0.5326677588911605,0.43545334666916624,0.4700944792324432,0.441562569266506,0.3564160346361535,0.5516244886073935,0.38998350193822306,0.3730321086943358,0.4508914232010549,0.5735623103280666,0.47589643751637295,0.41008369557008334,0.6229676150030267,0.549734045861458,0.5108750187902483,0.5559022177598719,0.5383952636383668,0.5634667030892959,0.5852227686002347,0.5907850317528848,0.6836246515553985,0.8031717832109527,0.7074806158836141,0.5957151797449357,0.5226879139429494,0.511039675973788,0.5549158543807726,0.6130520423475523,0.6445641404631737,0.6736247376311864,0.7500763091511115,0.7452197937842752,0.70529791112635,0.6206693100218597,0.665551928530148,0.5768032893297969,0.5080383763774519,0.577486235617113,0.8339050105219933,0.5896302518534084,0.6166631418813908,0.62719239613653,0.7522387958843599,1.1744210805281519,0.9699968914877664,1.0409731374111042,2.139893362617236,2.1761397811124357,1.0125649692199672,1.6862685342289505,0.8846502685762302,0.7028828736302283,1.0751590326485605,0.7589234233312104,0.7194521354467042,0.7077413203657095,0.8458363046500246,0.885522585280717,0.7119750741695798,0.9536579573925743,1.0197980767962367,0.9693932343172017,0.6511785910407182,0.7324037245731491,0.7929540299923438,0.6420017738189855,0.7408045920073872,0.7132958879489816,0.8928904632707443,1.185144171890742,0.9250946525403511,0.9120139975807398,0.7948751235137793,1.2961284308885461,0.7295298617803123,0.7645514540811039,0.70665920631746,0.7478610560840471,0.8017136540638741,0.7942178212881511,0.9799589211795583,0.8457864509515216,0.6905318907048735,0.6711530566190141,0.6331616490444932,0.783627380655475,0.6515684800591817,0.8285847994651646,0.7324746498114603,0.8718419438989001,0.7973792171708751,0.7689000841035234,0.6982739822177807,0.7777248209825629,0.7628062035657553,0.7120710677770563,0.6984801676549229,0.921817873862121,0.7674668014290902,0.8519078635950937,0.7427466515538749,0.81088716828952,0.9411121486001217,0.7276825019316614,1.024789707266749,0.6630368258633598,0.6638027593410006,0.8103613915332102,0.5527662924333293,0.4795678075414388,0.455322976449066,0.43889884827160075,0.4148639442492406,0.42856840709431265,0.4735260988954377,0.43021262707123636,0.5370829556535456,0.5660558718349494,0.5095563276529054,0.46848597907816275,0.3847667973192663,0.368906222572633,0.361306894994147,0.3876409974248891,0.4724842647268705,0.4648948545516453,0.47369347352407526,0.5874962602372312,0.519436926104306,0.620186420344893,0.5198050728883122,0.7551492302318609,0.5217158694616097,0.5588107461676058,1.0567375765882492,0.5101377719878823,0.5118491913339046,0.45620412245668795,0.6460794775904023,0.5300193189638135,0.48080692056846497,0.4358541781307003,0.4393267689214122,0.48290107571616103,0.4377241846311156,0.5105916218210985,0.5249020579601601,0.5399392751876723,0.6659201805631368,0.6816561491792582,1.1550015069871913,1.651532067382375,0.9845285527942947,0.8689651752470515,0.7163363806928839,0.7370698618645617,0.6354729151713169,0.7063679800512253,0.522680157915956,0.546864432995928,0.4452286399774587,0.5211736175638411,0.7302123834380861,0.6057878247986143,0.9417761626087999,1.186263107170626,1.5700944470593814,1.46020153302631,1.40850361626798,0.8483016145685988,0.873342393713076,0.5403909791236399,0.5864029985066873,0.718695524232204,0.6669543485067674,0.9566739032865171,0.7268177669580433,0.8389405955742751,0.6265865788086725,0.6424366436150333,0.6101607006630879,0.6044520904700194,0.5980760922856458,0.6295671608186421,0.574380602879759,0.7467512092622488,1.942531589023794,1.36627418072808,1.1909255103635417,1.3093049687490137,0.9185602073924675,0.844290433425273,0.5950306426941172,0.6344973362812991,0.951176197837691,0.5410826262942432,0.6026597663134076,0.5853352735827719,0.6334114597365376,0.7233691829147467,0.5863655781879306,0.6726726832967636,0.7134135295210652,0.6689247885147597,1.012824250971997,0.8374078546363962,0.8819099596942448,0.7934539877789015,1.0344698939515387,0.9390147947862427,0.8711117280237187,1.2409723505671295,1.4091845653144786,1.5161418690549249,1.2316680062691885,1.6083486995475502,1.2170753481724341,1.0466365508020423,1.0381232914381615,1.8594126227924215,1.2608592575716155,1.8235727466436156,1.054151854189436,1.2580957069661143,1.2554786212848699,1.2096476805858876,1.000465859149779,0.7788335482928613,0.8419647526371923,0.8444586754245675,1.0430266557917083,0.8146894374859007,1.034075547220894,0.9508815569518067,0.8911927043761503,0.9000183330210275,0.735132488552194,0.6526880620548292,0.870142856628216,1.0045666625818446,1.4765642401416195,1.7164614634106252,1.8748666800796503,1.5220042354858403,1.379023454331273,1.7277845368856741,1.4128439792239236,1.2068766948552097,1.6346191719723904,1.7195591768635872,1.2115215166981013,1.3681805597652394,1.7028223769226005,1.4477144664307815,1.1663845826249535,1.3670086168740452,1.0916642940651373,1.1962579016955275,1.2005111213881747,1.1547759066464711,0.9970474978968322,0.8369254262552385,0.8361117035092818,0.8620304971209729,0.9242873434325571,0.8185894305300732,0.8462808159351105,1.1975386145558027,1.1697149624660976,0.9740216623846082,1.1099068752047705,1.3899281956661877,1.5405077158921026,1.623453446787341,1.7920947063567692,1.977161723518719,1.9145457805223725,1.8777779868581266,1.5430234811821677,1.5393849850391126,2.037019884430027,1.8831072662257156,1.9074249857580776,1.9025168220540016,1.23907521741684,1.1275627076449677,0.5757210636940866,0.4961652243988009,0.6331888345851183,1.1852578969773888,1.1938336758139874,2.1954297446045654,1.4956020035636577,1.1929161960856343,1.642453017333277,1.1385046599042281,0.6383010753463642,0.9646713685007516,1.1152712966579603,2.317090008529621,3.988568188335988,4.699152138214699],[0.41716978124838416,0.39469606287503045,0.3978095209523485,0.3856412482482535,0.41056447365371534,0.40016910521953936,0.3000643959266217,0.5137187602331823,0.33136519682702736,0.3037955071464562,0.3887498619655494,0.5114833144846016,0.3962865083255433,0.3509079925339738,0.5397137242318949,0.4692325835658849,0.44007735948748283,0.47821098075089075,0.46972094311600315,0.48588268084417746,0.5234008742677141,0.515087272275493,0.6339071030161144,0.7847561487631736,0.6550359444421644,0.5381071605431942,0.45738670694191047,0.43019823265339446,0.46275331185475227,0.5203200124251148,0.5474718968992378,0.5787474542806965,0.6528955735305955,0.639285371348782,0.5965177024057737,0.5194649135352455,0.5678371058611799,0.4750273241540048,0.4076513289681204,0.46111196945912625,0.7339709251914871,0.5156553280145386,0.5195241794553084,0.5525730938470428,0.7200043589171153,1.184955206456684,0.9872290414303573,0.9701087694625987,2.1004821162439837,2.1777369783537655,0.9571504288066403,1.6674305161543588,0.7777391802425891,0.6257333895770126,0.9995309685453214,0.636355430046426,0.6337890295557073,0.6185913467594131,0.7583578266787915,0.8433834625411563,0.6488419071903335,0.8517212022363454,0.9319387565780829,0.880499818642044,0.5870847622441406,0.6725531483283023,0.742546102816159,0.5744755869057154,0.7038247072231266,0.6691202206404886,0.845280111007681,1.139679478056251,0.8721164922428993,0.8698990025548625,0.725323129909262,1.2984816564650123,0.6371561545716091,0.6580371395126303,0.5975636242714791,0.6250237450990644,0.691915432217626,0.6812115770112455,0.8936568351575641,0.7086536739812515,0.6233390439921084,0.5761076163985521,0.5332200737096167,0.6770566998551742,0.5447237065493252,0.7295318187855983,0.6347242163571928,0.8002260487691374,0.7053505108758186,0.66871470541538,0.607092837882517,0.6954347294616788,0.6547103649871372,0.6194158814024163,0.6085291407530622,0.841027854903388,0.6738886170199224,0.759779682654183,0.6314224219398444,0.7086868249061041,0.8086868372741629,0.6396531205649628,0.917706214273526,0.5797392406523848,0.5984040804935398,0.7651438267443154,0.4935915863527979,0.40329603029744066,0.38276971771773066,0.36825971985504324,0.3453434719680891,0.36620715670915077,0.4136562449605194,0.38040246049475207,0.5042529955717587,0.5074444321869882,0.4603650980890498,0.4147494354470395,0.35714488852435605,0.3226648029360261,0.32188042966069813,0.3322205429208391,0.42659656957847286,0.42115020285571225,0.4086807930368331,0.5302437725567962,0.46616171980291315,0.5369708779966663,0.45432117219327994,0.6539846986459019,0.4610166049035505,0.5252927924247528,1.0186546614710512,0.46386306959431833,0.47123996146229874,0.4046978302370069,0.6153865400035855,0.5112316609681127,0.4440502185165623,0.371863545045736,0.35878035454215185,0.40564581547598105,0.3587863255025093,0.4369806043686927,0.44743250605039175,0.4757126504005511,0.6176445519200593,0.6328619940681055,1.0465598713951474,1.6554200151316987,0.9764501318981834,0.7810829425795515,0.6327691672786807,0.6505439923494161,0.5458920597908162,0.6167254220923915,0.45048038234940047,0.4692773319498395,0.3673444669323013,0.43402336884581466,0.6548726538745375,0.5723146202492997,0.9182627937462339,1.194648598108596,1.5962196213863116,1.4814741369065234,1.4281429094754639,0.8338720848074842,0.8261118452885027,0.46583539934617235,0.49172958104751063,0.6196384651657261,0.5801133726172919,0.8569807911724467,0.6160261728794211,0.7274378375573755,0.5440847085003027,0.5502268350213521,0.5300354088974779,0.5453965963434186,0.5321987237451236,0.5552601723496728,0.4710952382630304,0.6875398262468472,2.0139187129461193,1.2766733448787662,1.2692171659250966,1.4049017683659561,0.9737183780517505,0.8593268328701134,0.549579837266985,0.6117512414498507,0.9182024326531366,0.5025012280754678,0.5831588383702495,0.5380370061181614,0.5461198116645525,0.6350840307719209,0.5149545082630528,0.6164217890991245,0.6225751929996887,0.6038165921329751,0.9356086173664272,0.7410053033612766,0.8128932179719428,0.6679314666577495,0.8792220291900597,0.7886069192295277,0.7741409646317554,1.0321285203769497,1.1940415588728288,1.3618872555961405,1.1109821124567398,1.5154335538785855,1.1166627757140783,0.9191529966158156,0.907253083568561,1.6687138896419524,1.0967932415760027,1.6788374771345984,0.9082579657555138,1.0779344967648636,1.0892158189589671,1.009019403299822,0.8428008741983656,0.6718738127396102,0.7134034908957998,0.7715437203411655,1.043640813691781,0.7982658148713768,1.0083974414676675,0.9940644315163449,0.9577591941089855,0.9374326839101499,0.7369415300183804,0.552719899769755,0.7458594184435297,0.8782768602546406,1.3381652236112205,1.554964730373185,1.7148813842875237,1.4126685140165314,1.2249508439489158,1.5849544409636183,1.322647516957237,1.1149651968744283,1.5497865958314845,1.6749105321266327,1.195843268727843,1.3031367392976176,1.6594446563845082,1.4854192823717223,1.1259048937050007,1.2887775516034974,0.9841549700288926,1.076370154793672,1.0825583152743803,0.9980780732536433,0.8519580829667204,0.7203544712465968,0.7158790146430132,0.750281545077325,0.8364001811196591,0.769536151223614,0.798100686131362,1.2024329250300874,1.162117110689725,0.9929212995468799,1.125373374592949,1.406666222116868,1.5422097510823556,1.6148520836681133,1.789939615354707,1.982805274345393,1.8935319332004952,1.8226427623541155,1.474735286631229,1.4177632766404689,1.9566340991663267,1.8444029929342474,1.9031444871525587,1.9257937231845839,1.2142372823248522,1.0727683342397731,0.550277051297476,0.45189141562363655,0.5277611994474439,1.1676486966819344,1.1052360568244146,2.2499224919070113,1.478043967966568,0.9928472562028253,1.5498929532666368,1.2170707107214798,0.6025526956721934,0.8081387300932167,1.0134930070942425,2.3978551529252963,3.915177272530568,4.410989199508588],[0.3487304195199753,0.3582364018602869,0.3762698181457833,0.396769938254836,0.3992455381380328,0.3591041423999798,0.2380811162971506,0.4190628965239811,0.28215175775227846,0.2779866262836997,0.35650239354977076,0.4522980868913228,0.3489975547609417,0.3265029238140942,0.5130499815840742,0.43293895738002747,0.41798798614706717,0.45566650900003697,0.45962218594102877,0.4678540726064438,0.5165544288306602,0.5111210763867314,0.6245407474177458,0.7701429930190175,0.643273826566963,0.5276810795857086,0.442754486812455,0.40650980865554703,0.43688777303203286,0.4827116779593922,0.5171897785039918,0.5290385237481625,0.5968258253632371,0.5758085629538002,0.5402268224332771,0.4833266115696965,0.5208732500666959,0.4431053580703073,0.38279258587300086,0.42582113049253095,0.7073260801598151,0.5032876665466809,0.49719508429657416,0.5467354026454345,0.7128875059050376,1.1575706664557952,0.964932676250625,0.9531408788292244,2.0694330327525106,2.1361888910203195,0.9684543829467382,1.6299010854133755,0.7495998737089595,0.6009644609842404,0.9843779357861561,0.601451052114496,0.5935219271143392,0.5851275605575704,0.7175881091769585,0.8300916607500719,0.6196167934572784,0.8230487212936788,0.8910889226557195,0.8529784838621278,0.5800992110533706,0.6440028245852804,0.7425085521131212,0.5612728332976772,0.6904363131461029,0.650117132703643,0.8486638182180816,1.0951008100087598,0.8434827999535691,0.8403178417136749,0.6963022901118214,1.2455674879374057,0.6065907633738263,0.6073361195291778,0.5515964171187855,0.5794581329119993,0.6358778890249491,0.6265729810909655,0.8539962282791729,0.6264775278720577,0.5852783248115481,0.5288883321255531,0.48784006022050713,0.6215070973431561,0.5054540295578404,0.6828835686500689,0.5942310556930601,0.7641350418219737,0.6609064672592767,0.6146375372906278,0.5635863991294073,0.6490509525200703,0.6198628411294248,0.5695650342991347,0.5574100522508145,0.7829088110005767,0.5950175597840034,0.6789087889793618,0.5516737036559234,0.6275299572644467,0.734713354971187,0.5700584448002343,0.8175003345319845,0.48378550812302845,0.5215338836543907,0.6702516788991444,0.41163244372897395,0.32607308688171405,0.2994900419557988,0.3336210583903794,0.31684070080355115,0.36131960072188557,0.40549932826818813,0.38017950165180564,0.5046004230340879,0.4985723513118898,0.4627097956625167,0.4164754730197847,0.36513596355995864,0.32928303822849797,0.30565689510125765,0.29714256332674155,0.40486193691484246,0.38264477868293534,0.3341247288856306,0.4712734466982703,0.4058352002456338,0.47004914864309116,0.3886727109583808,0.6210697962729024,0.40131467371161483,0.47014143070267406,0.9548410040790295,0.4366934419795869,0.475778014202852,0.3921852063156098,0.6163575158060709,0.513130850977135,0.4376909206377584,0.36689570379121517,0.3432378903460935,0.39055566781660983,0.33622806637616154,0.39450375960931255,0.3869144367019361,0.4167878367426879,0.5296249264852484,0.561603328645922,0.981727644447771,1.7104778707682022,0.9637095699229908,0.701044413726775,0.5639518035603123,0.5651851299079151,0.4808552982689722,0.5425189856245775,0.3953295649132825,0.4174142804625193,0.3383017092295777,0.3977579575292382,0.5987453974774234,0.5303493167431585,0.8466873497311487,1.112663114709904,1.496740345270172,1.4234766571751714,1.3669607444512524,0.7977589941430206,0.775616040313926,0.41095039810271705,0.42020906381839856,0.5581654522315036,0.5292873846303747,0.8136512772415548,0.5440396461612744,0.6723332167496051,0.4869682297268087,0.4732730613606911,0.4611731684963089,0.4879108636091489,0.483937889386239,0.514006627957001,0.4482920150089596,0.6599719939296189,2.009362064059797,1.2410576371277366,1.2930454221634646,1.4477556307607262,0.9890257012960699,0.8490561786452694,0.5127767568939062,0.5521925930066719,0.8651713038057656,0.45671142775072837,0.5448772382137537,0.4884887722440095,0.4742484568005356,0.5384687186362015,0.4435935274583359,0.5739137026069648,0.5367790179165304,0.5313065081218551,0.9234936007104975,0.6998210434619406,0.7449544257357825,0.6401380691319369,0.8423243768525314,0.7502719218569538,0.7554164931570774,0.984592132015553,1.135964457349081,1.283206745358912,1.0817335667739694,1.421979934601324,1.064857254400132,0.8609238661024146,0.8395814978052264,1.634929333113685,0.9586671322311977,1.5579224807887095,0.8028644874613621,0.9765718418528136,0.9971194660453352,0.8979630007357208,0.7411654172114134,0.5923677543887871,0.635016540488057,0.7088113223009977,0.977050928032426,0.725558804246944,0.9712690665866284,0.9362285668402132,0.9012054885807078,0.9174528005770034,0.6899376782373531,0.48803300372877684,0.6613307255558238,0.7864516721058155,1.229761919682495,1.400408557566532,1.5829471736805572,1.2780392545723982,1.0956594685660261,1.460487340997522,1.2220078286173566,1.0087063237319984,1.4184685997374091,1.5490866188192787,1.0974154463257548,1.1782967054970228,1.514613673333479,1.3776592383220876,1.0436644777174415,1.1677425205857515,0.8937432672752372,0.9531337975623053,0.9594703351470777,0.8773992211986033,0.7416908237438136,0.6433624780571934,0.6274637242172948,0.6755351023375098,0.7823432593700004,0.7140906353360136,0.7255283519015245,1.1515711650795313,1.1178894595485311,0.9505613461001751,1.0702872364950697,1.3347035953622568,1.4637975655127229,1.526270141518392,1.6642108702617595,1.8855757818824117,1.7507130398517596,1.7210877225282317,1.4148920566307321,1.3393524934650518,1.8699297238343002,1.7839072391976059,1.846874711110487,1.9113587157342184,1.2084102220018704,1.0827349178627075,0.5250374837488375,0.40493618411867405,0.48286380085264086,1.1811882087863315,1.0926149682104103,2.2544250412275115,1.3491480567526326,0.8716090855529572,1.5253903863960923,1.1888374405585411,0.5829404401599564,0.7806481415892562,1.2339235611503183,2.935884511453683,4.358066521217913,4.6856077996915095],[0.35161259805545575,0.3795989966209815,0.392674576022176,0.45058132719685084,0.43455685657192944,0.3739828533645429,0.2875579152216627,0.3993679641951978,0.2894800731779394,0.2855864833222754,0.3312497510609479,0.4271642566963824,0.3351652724581147,0.34301061421031254,0.5175208694434674,0.43727630016868696,0.41096893783645994,0.4846845955048513,0.5135141004256084,0.4967457565032606,0.5454930905023748,0.532835997218443,0.6796642919284224,0.847970924947526,0.6640521267030692,0.5877605484416613,0.4758137629959151,0.43996437513974335,0.4513220168446428,0.49539619934185175,0.5358635925811135,0.5269712600799306,0.6111592699034908,0.5931490730959708,0.5468589216957738,0.4982027216572153,0.5178007087309742,0.4465378765188332,0.4061591498423384,0.42685088714454794,0.6664462860580979,0.5494548371858228,0.542909955749666,0.6040512646507457,0.775071420231759,1.1495756799782988,0.9892196957418592,0.9637776158336764,2.0188172235273827,2.0167956286749273,1.0204737346800579,1.5885018173392844,0.7307900394076844,0.6145890723345973,0.9759222488612775,0.6115380444232122,0.6167760944353394,0.616221518944318,0.7197300784067865,0.8761250424675734,0.6519213507540831,0.8319791886507122,0.8951521371167549,0.9206738375099528,0.6266064989527405,0.6668001011667604,0.7750022509789818,0.5935285814622996,0.7259426960771554,0.6800270362429375,0.8533269237367243,1.13046831772004,0.8736106675395473,0.9039356944638104,0.7150587080354044,1.2940176876688634,0.6288543785541737,0.6242938213019257,0.5658738972015573,0.5901607107924903,0.6217896778872043,0.6042958085972623,0.8594663960333561,0.5995099779345576,0.6041372463905621,0.5171999044987388,0.48919493997344066,0.5977389132109656,0.5215220698179842,0.6971362034322748,0.6131554162244669,0.7950995866316095,0.6768698108400337,0.6241110995337709,0.5780656101299767,0.6629861167500419,0.6110473748041082,0.5702396851476461,0.5509064670848822,0.799747049763945,0.5829555753057083,0.6402764594612065,0.5176399543766996,0.5952136492019328,0.7138257277787732,0.5468421500897125,0.769127715638701,0.45073188630440264,0.48226602549324477,0.6893416916662777,0.3938267318280816,0.33124953466432694,0.3025397954497759,0.36480797663993114,0.34946479777702055,0.4008399091416939,0.43677696797763516,0.4448132468241276,0.5462809484593596,0.5414580693638746,0.49058953944742456,0.4495952100516554,0.4052469210684341,0.37737746208849887,0.3476920923047143,0.3172209012740002,0.4624135202044104,0.3745502730775831,0.3236005830829497,0.456607858532775,0.3820533534600122,0.44134257553160644,0.357592913590684,0.6105038090792612,0.3877073178674653,0.4502419475631648,0.8876408707245804,0.43531189902736245,0.5172365272582434,0.46110690218482003,0.689773721935229,0.5959376557127415,0.48321561374104105,0.39468302741917943,0.3700326921549908,0.404938897298255,0.34938487292153125,0.39186005612588526,0.38328606508773305,0.4081928515989879,0.49710205795256235,0.5539761375662721,0.9593289986331024,1.8203975878774052,1.0527702585872907,0.6939783552689441,0.5436472244747427,0.530040308352023,0.4664194637605813,0.5004553685271333,0.3918541982767265,0.4075080041523089,0.36020591848737693,0.40309539079056794,0.5129536376519784,0.509375103902507,0.752600002248503,1.0543509196795633,1.412070764361589,1.3953504464816662,1.3100006751560564,0.7811132472336005,0.7097633182600716,0.4022197698735021,0.4009818500745537,0.5455626107869449,0.5052091155731606,0.790287124359755,0.5070444723608818,0.6534466218913666,0.467381906211404,0.45574688843182104,0.4421427025277889,0.4518034083392925,0.45075331778850997,0.5041150372125017,0.4639649494142766,0.6662724058755384,2.1109974761201986,1.150201345469641,1.415458137589859,1.6313449094255068,1.0680405030631839,0.8804252791456371,0.5091967080119404,0.543998093220698,0.8490377557447744,0.4612619539128687,0.5564227008851672,0.4904706265800397,0.45653564222505666,0.509052857208322,0.42907971036156933,0.5693922734497776,0.516022308946677,0.5263542128139173,0.8947944765904933,0.6780432235460746,0.7361049858923621,0.6335176383890754,0.798959034035347,0.7327320925598512,0.7690038248356776,0.9172297098412472,1.0690784538370717,1.1975328439844517,1.0634216771791511,1.3649460768884674,1.0310292237665244,0.8342520115055284,0.8158069009627619,1.6035171569834485,0.9168501928160174,1.5019859077086144,0.778269816022306,0.9479660660111713,0.9705123482234214,0.8449442717415871,0.7114663745514282,0.5737102478755248,0.5871051943786617,0.7001782682639354,0.966419717668796,0.7011464779903658,0.9575665077141056,0.9573844244293778,0.9573845926476543,0.9372105781929219,0.6977890320702613,0.47341084220915536,0.6230206159311042,0.7454046556482734,1.1845271423449208,1.3483668388253116,1.5419144979666979,1.2020623408792086,1.058783302560573,1.4237821040146348,1.1910826624543107,0.9703009176320702,1.369154184256557,1.4965892924896014,1.0699009445234082,1.1436737266484136,1.4741214351518566,1.3548146993386971,1.0400551838871948,1.1493606819769904,0.8795378695169559,0.921802036027332,0.9182701162589149,0.8328681907270684,0.7166626230255213,0.620193277127599,0.6005106367411844,0.6575788429146179,0.7644368903962766,0.7044068690349471,0.7185415996681029,1.156460139692911,1.110099183015759,0.9633174757969265,1.073963438673919,1.343386914688378,1.4469452728382461,1.4792643087449813,1.6304987495391803,1.8631386646815975,1.7022267055720386,1.6431532252867624,1.3503865738519787,1.2234549452311085,1.739236320525961,1.6974624182412494,1.7968639456616615,1.8985009064669178,1.192727097021123,1.0563446193400774,0.5355242084846147,0.43581981264169245,0.4718320341775839,1.1966341651643768,1.108756325770017,2.2683549324136085,1.2278813615595339,0.8119828958072546,1.5135014041052561,1.1920189259440572,0.5952007278873304,0.7624476834207643,1.2998546818000225,3.0620392025468037,4.52308287177338,4.886521391052787],[0.3589145820519785,0.4012497881146422,0.44797832494539536,0.5159486295423964,0.4129228798098061,0.34757015663288837,0.26952738834472545,0.34079208248434584,0.2653491768648003,0.2686977315317294,0.3143749932327778,0.4180995160637349,0.3141292591080666,0.33540160424074345,0.47513309813862686,0.4211772151341884,0.41108238765770116,0.4817348359444594,0.5480226713937308,0.5035845570647637,0.5817332952507597,0.538865174653712,0.7133181214832176,0.923138962229045,0.671454006323236,0.622607099269621,0.5136062887804008,0.4498349631952199,0.4366499912072935,0.45232325442065097,0.5202123373250725,0.48834194734404474,0.589704601748775,0.5706946308461839,0.5041249017711505,0.4685067073067759,0.45715869226700895,0.42831744371703573,0.4129513728666083,0.4205293770657753,0.6643073172982068,0.5695754282402989,0.5619480046140992,0.6471779077802172,0.8439124984239786,1.1899382647341379,1.0872485212793863,0.9725125876083782,1.9685680357394995,1.9237159877367334,1.0522631574966421,1.5813003779233672,0.7213323756431488,0.6512253219478191,0.9577205874187357,0.5930358737214088,0.6239316369298183,0.6103266005914787,0.682395858582194,0.925677429821359,0.6708332733492279,0.8267607924358135,0.8840650640337768,0.9324050082524006,0.6617743995446808,0.6768984222672398,0.7844191643585222,0.5931452541498495,0.7505704494826269,0.6855504055731876,0.8479547567791452,1.108610456182538,0.8678592822220106,0.932813789587446,0.7097494185083201,1.3064493699869821,0.6198093357379733,0.6118059550615116,0.5384657937918272,0.5432698935862548,0.5774896331276659,0.569411424184065,0.8031900665708896,0.5391657583571288,0.5979753766568584,0.47226434369044085,0.4677275927137384,0.5471003927350059,0.4934625897593596,0.6580376663340229,0.5955436759532832,0.7900283446265375,0.6724832768757728,0.6003049696287907,0.5550308972717528,0.6453838077235532,0.5713486431707321,0.5349156293741106,0.4952852595490191,0.7449211398203096,0.5196484385992195,0.552038692975045,0.42824162915997604,0.5091007021274806,0.6172524888025338,0.49545605144604005,0.6781863486243066,0.38453790475159066,0.4247015432253052,0.6793252393259891,0.3525059856270162,0.29119387024919663,0.2575240734309004,0.3332122946523241,0.3472110159191186,0.4005660691697072,0.4559623927518162,0.5013262742148049,0.6243238917157238,0.5795117014818322,0.5402053321933409,0.4934459254890017,0.4421883342877964,0.37628337096249015,0.3146854176334319,0.32010875690116924,0.46551830551806384,0.36541744203675003,0.3035542431081385,0.4348474490799461,0.3700938517198966,0.40015625327953275,0.3414820522981262,0.5764185863362807,0.3737217588690138,0.43721165085682917,0.8034628687596703,0.45157677413282543,0.561035228283929,0.5277004519568863,0.74120416789198,0.6861788760847448,0.5366657293494723,0.4442181505118379,0.39743203424254586,0.4038595896028968,0.34809408233104205,0.36216229349809975,0.3379372077543068,0.3504241964599199,0.4350520376815737,0.5223292066365528,0.8757496169310318,1.7933990774240691,1.076158043096782,0.6167353857199434,0.47617019764374124,0.45711052350406245,0.40414435126239545,0.4246493935144769,0.3820521640973003,0.3856970072635908,0.3721640722551457,0.3859218270877876,0.4515234417438575,0.555618738642053,0.6922168401313638,1.0247652058064234,1.3480622806369535,1.3614498593952051,1.255548566121889,0.7657379383813696,0.6405733896987461,0.4122957947564207,0.3667686224401266,0.4705312680764875,0.4537430420662938,0.7125736212020292,0.44558115141492444,0.5523661537825664,0.4338231726841447,0.41322829412409023,0.43170989969350687,0.46461566482770245,0.48060747795421377,0.5208970991360461,0.46323583223493187,0.67580172699426,2.205768637074696,1.0596702189101577,1.5882169353868223,1.8593268215536458,1.1982797087219361,0.943324376606761,0.5345022481975104,0.5504565338052955,0.8047789513746889,0.47877974794597505,0.5742926201328937,0.4768151741093333,0.40444600045036266,0.4232667839871675,0.3701588248147352,0.5363888588828593,0.4657228979735084,0.4990104703692156,0.807363134341756,0.6192031917129204,0.705921186710587,0.600813957654963,0.7144524970188255,0.6948342666559741,0.7829828739830904,0.8231321247447375,0.9709298033574347,1.06767040534587,1.0150986139226965,1.2696079789721118,0.9588139713971395,0.7846140871620589,0.7831356481579271,1.4880536805686029,0.864803158335129,1.4296504935211045,0.7331434547079918,0.8508310803323841,0.8736250960214609,0.7493968292854152,0.6259810397698862,0.5312531796826665,0.5336814132707978,0.714549854257702,0.9692388902452387,0.7016323495528277,0.9520858902066155,1.0025276572362778,1.0024800499472242,0.9935348861860326,0.7091548502459492,0.4240649597351608,0.5563638103356705,0.6656649368248941,1.0934592049591143,1.2279754215094933,1.4533640360332996,1.0980597179409166,0.9639961693180894,1.32225622169194,1.0982426593867747,0.8903011023937059,1.2853192221357808,1.4292277731342644,1.035885571204346,1.085233175963258,1.4136025998936435,1.3501844012388358,1.0228671577610786,1.1051354693382551,0.8348796508668126,0.8417278548448041,0.8369442224950502,0.7478212046570123,0.6428672699306993,0.5608382234981591,0.5391004389744307,0.6071568672569765,0.7214177657910212,0.6764623046355516,0.7012867918473746,1.156547793460041,1.0941504361573675,0.9755583795696925,1.0921733100316993,1.3358214588646564,1.4169191481364452,1.4118924264253514,1.5665692525305388,1.8096231150861006,1.6066330924166943,1.5239139001050312,1.2454134350841441,1.0594059162997531,1.5675572784465688,1.5699940810815507,1.7196048583955594,1.8565095706059673,1.1526240409920514,0.9860024944341197,0.525224801284822,0.42910623714951635,0.45926056190139924,1.1814277410130858,1.0759233678853588,2.250888666632145,1.0898955162552393,0.6932742915587888,1.4158079133781796,1.1952706090148955,0.5937359707594022,0.7363382216336709,1.3081438793639821,3.0901365396424283,4.470085406659789,4.773634937382662],[0.39298047618558624,0.4206681380106757,0.4841556368071511,0.5325006674158208,0.44833794235382524,0.3882875002694105,0.3311773301323112,0.4001006236113048,0.322255448911192,0.326309927716462,0.3637380957742823,0.4931443544609891,0.40926032373515886,0.39595076949566493,0.5418632644787584,0.512725226164993,0.48340008726799655,0.5685028783433226,0.6314357425253193,0.5883902530983758,0.6667551490885998,0.648248636223599,0.7624330319111606,0.9757331093012982,0.7019306189255448,0.6852668974871513,0.5699203646259378,0.5234155238170796,0.5314638017553508,0.5517674560600048,0.6237859166429129,0.576300965691139,0.7317922767585997,0.6967147006500709,0.6325837338546233,0.5904775720990492,0.5715487031128278,0.5308944872411092,0.5105169822756713,0.5422379945284527,0.7883410508459924,0.6356346193646406,0.6565925462292597,0.6910238488873851,0.9144302337678513,1.1596406558347012,1.0947698029261925,1.0937858058823817,1.945035915671079,1.7297789758639541,1.1645381412250384,1.5019539093902843,0.8357219061288957,0.7318778247083984,1.0253674310774756,0.7161102504930805,0.7595936527587982,0.7259691637817773,0.8192247333753819,0.9684032309714957,0.7634222178228489,0.9453302638832914,0.9992608682246348,1.0648531831933827,0.7611675785318234,0.7791462653197434,0.8566092170896621,0.683733303101978,0.8221942042730365,0.7465058534999974,0.8966510607646592,1.2699418741446584,0.9537591219575722,1.0294463566076886,0.8114506438581569,1.4615085212026255,0.7598796115094721,0.750847958277042,0.6862762897722112,0.6901817444087475,0.7115572463171193,0.7017769483265142,0.9380224553226388,0.6940593728896675,0.6414767597868235,0.5871479328359043,0.5750930483560865,0.6826364832046927,0.6223848739046416,0.785961951492071,0.7263473940130141,0.8795413155099319,0.7714355415487323,0.7097907328556028,0.6508943845541116,0.7229250089459425,0.6489317993439717,0.6322515553590199,0.5980129606261083,0.8745465512676044,0.6342806674636625,0.683026064404175,0.5634654005422011,0.6226600563358028,0.7796542721758559,0.5621939614434585,0.7469742211594479,0.45118734688110695,0.47442658908766994,0.6926504760469508,0.4062934524142357,0.37107072061770996,0.34061309678753476,0.38575461307388176,0.4062110185604403,0.46045707871170877,0.47793973035689896,0.5310707910465309,0.6690213030501373,0.6335694863584191,0.5969559146522944,0.5392061097307004,0.4934538924778533,0.44457622545121,0.3559772592701383,0.3403062731436914,0.52151173307825,0.3841572958725644,0.3510891419185463,0.49545264411683104,0.384455975633246,0.45805750558885167,0.38244707558798213,0.7016246926711143,0.42257429752995046,0.44513992007440595,0.8082248375579509,0.45213315550122335,0.5711225633719049,0.5161508036234623,0.7299441768770191,0.6778218333202681,0.5529498347758511,0.47985685683084656,0.4510606359856179,0.47127473685369375,0.41172785892113417,0.4323608334183129,0.43308470557479634,0.42087655053601497,0.503338735319711,0.5925228559694402,0.9975387805563829,1.970060186888223,1.1992025204232348,0.7637901835416073,0.5652733063096649,0.568939757006098,0.5269602228077491,0.5288850572996721,0.436342484990161,0.4723064186575552,0.40839481176496,0.4555990546838049,0.4915302387024383,0.5167295543187116,0.5867352714099148,0.8423040394107587,1.123687741567368,1.2170394796548842,1.1087709670497325,0.7109335653874447,0.6111425302204747,0.4467619705953422,0.4571602295693469,0.5940593965530683,0.5665973108054881,0.8306517180480282,0.5760184730931553,0.6698266212479674,0.4691585933875998,0.5067675835471701,0.5011191017880892,0.4911346498213121,0.5048638265907078,0.5442527890874931,0.5450685452117413,0.766472546528805,2.086572267536042,1.1005991006328386,1.4436602245952133,1.8237406025224125,1.1177493507634308,0.8563241294341428,0.5081463142203054,0.4984713816195858,0.8137667572211852,0.41859270376223406,0.5051554634921861,0.5015367242797807,0.4604981688365621,0.5526559393902359,0.4608341506379597,0.5520469482818332,0.5336449811497437,0.5495700054624012,0.839622927675645,0.6617239779211664,0.732576099640483,0.6536747340451589,0.8012950059662549,0.7474421278743332,0.7689763059716987,0.9237673021191272,1.0713730779420476,1.1504029408882095,1.0570921380157312,1.2886595195471324,0.9906125348786217,0.8232937745532595,0.7997733241793593,1.6499257001041931,0.9133445367472831,1.52254200360801,0.8152605212645815,0.9853726004643447,1.0009991661892153,0.9104970178467573,0.6876722244878644,0.5402184782145469,0.6152116962517395,0.6797080961294475,0.849610036667861,0.617169074422587,0.9644742048812186,0.8250959229187101,0.8498962910399531,0.8655224189436376,0.6146094237499052,0.4865804057567969,0.6916642893547289,0.8129809597012567,1.2850409779484877,1.4397011919472116,1.649474137547089,1.2128975268027844,1.085927438198615,1.4795236116222403,1.2002088180517916,0.9655676677525056,1.337074330504002,1.4271407856238572,1.0188981901773635,1.095930932454147,1.3874283407856574,1.2353714703708942,0.9907104683734201,1.1010810432458515,0.8671347865524173,0.9158790116542133,0.9257921362846263,0.871459826950571,0.7226136643801537,0.6250827975520451,0.6161255052964234,0.6413137356536217,0.7471415650303626,0.6580093112131473,0.6606299097634797,1.0773038693990893,1.0450335470046024,0.87929459997486,0.9959784430185735,1.2561304367024662,1.3463767725000495,1.3547111667109946,1.4906871471670848,1.751076187141289,1.5753115900959143,1.5226055821438442,1.2583680766691039,1.1277990668719864,1.5944416456548707,1.5579924929423055,1.6697781480381824,1.7828796823654047,1.1051090956879623,0.9958142749054711,0.5061458523481853,0.4324157582566307,0.4937885016363197,1.2525598929807664,1.2491330833920737,2.2825874932611714,1.0383946149698278,0.8565356829915731,1.5721337090269982,1.0921092990830852,0.6505034294008446,0.852689488350585,1.5421021122388427,3.3611159852896857,4.997238923975099,5.565127480349547],[0.4084627101200818,0.46925015220187555,0.5226358646039242,0.6011686564523145,0.4655880970469075,0.3929307076064332,0.31236933856828364,0.3496205244210187,0.28771131538590744,0.2973303413891792,0.32021711915939766,0.41181784364529067,0.35061308513651335,0.3725138522634983,0.4766225417612529,0.4562957987395894,0.46868335595517857,0.5313897371910491,0.6213503066277515,0.5742467347771206,0.6649615702306052,0.6266449449872743,0.7901383741357519,1.0558974142261062,0.7136502332872924,0.7007093780620695,0.5885747553386574,0.5115267330885105,0.47826544660412496,0.4785250952646975,0.5625699663640843,0.5162633157101468,0.6528911546544716,0.6110271578587095,0.5377964298112974,0.5104615096229708,0.46718518524321545,0.4599162247127583,0.48644628664487577,0.4891459348322438,0.7413043881308647,0.632319451571982,0.6383855472736749,0.7218654681867104,0.9549991182283754,1.2263026241342843,1.2102800934774098,1.0482538044010812,1.8820415877492966,1.7410083833919996,1.157172793307725,1.5361050548250614,0.7790421672089411,0.7274652265090625,0.948624989934975,0.6676287057603637,0.7025294097737596,0.6741833235914119,0.7491796918635258,1.0241085411162152,0.7448501567024209,0.8694493619567236,0.9056471362178757,1.018222381308161,0.7583710966642471,0.7385217275216133,0.8453344830345022,0.6581082374327596,0.8176427940522986,0.7327296232103202,0.8690349148158961,1.1868746981985931,0.9150513360735711,1.016657522114385,0.7592064003682254,1.4158615829995813,0.6971320496499429,0.6764895591602388,0.6012981257397779,0.6021212167516876,0.6083788195708845,0.583714196909325,0.8351915137958418,0.5531419259201353,0.6107451135527104,0.49151117310322684,0.5026100826566383,0.5816470158007627,0.5488907178568123,0.6789461059015849,0.6415024441330061,0.8222172745686217,0.7085143241313689,0.6377526138179003,0.5785765090856972,0.6793360791647064,0.5741808308281046,0.5653600232875744,0.5138236414807751,0.7867383217111376,0.533834731626769,0.5821347599367737,0.46199937558835996,0.5272311713495792,0.6181515056345821,0.5131524609461978,0.655979398633947,0.409383469464999,0.4516231713436323,0.682850618190711,0.377467567234978,0.3484653323247658,0.30879817617881306,0.36038872265047844,0.40714185966589317,0.45831347755978596,0.5083299948595741,0.5869673479732108,0.7220710885958854,0.6588434748273895,0.6107629575806967,0.5530413903395897,0.5313798922214023,0.4193955891169321,0.33832907062116063,0.35958677441175796,0.49261102377259103,0.3820071144985247,0.3415357560451844,0.4979022647060554,0.3992687973134033,0.4145814236557132,0.38437377607983153,0.6474437084650765,0.42617295311020365,0.47055886614231224,0.7471878324157722,0.4904471273016606,0.6023693729871152,0.5899363979432933,0.7875467310553663,0.7838753017600316,0.6134252374106737,0.5212303914060974,0.4773445062400577,0.4699424013719771,0.4172834281068633,0.4105430654592306,0.3915964785020154,0.39166650072305875,0.45295202515201877,0.5638145899141647,0.8858688917550743,1.8602971651611206,1.1669900917294689,0.6599105135934428,0.4765506308418107,0.47454356254493774,0.4420763933870553,0.447926924962683,0.4192486375039542,0.44651562804101363,0.4305052287027906,0.4374077036397149,0.5305071072582856,0.6007622111241117,0.6267937467011712,0.9307267118803114,1.1971345313471118,1.2690466981807165,1.1537970629644723,0.7532061757552336,0.5985265581653134,0.45618338962087207,0.40726098939872496,0.5019024177730327,0.5056736094094808,0.7546768171461836,0.4872880811208944,0.5657264218983801,0.45316370113801224,0.4580187077199438,0.49074692859685326,0.5092537537858999,0.5406068347974514,0.5276599893318633,0.5130987151698103,0.7263659530944552,2.272712628320726,1.0365664409594813,1.7089406699837892,2.0302387765436167,1.2771931282188707,0.9716546486340696,0.5722981732571968,0.5577143122392382,0.7789220312522603,0.4924095830914149,0.5828825476824314,0.5061581646249087,0.43210367113299386,0.4686305096745378,0.4084946947319995,0.5441880605827151,0.497110274436483,0.540261255071105,0.7842691093244553,0.6242982332758877,0.7326356264641435,0.6342109785239824,0.7105269637861186,0.7247937427524145,0.8225355719636599,0.829913958539971,0.969695566688607,1.0197439393509082,1.0034575013258085,1.2172405259833998,0.9299909830329076,0.7813954721966515,0.7773656656646386,1.450448435152215,0.8670897049355039,1.4372277213240383,0.7555405101897268,0.8573197505809922,0.8795379636618176,0.7472476133274077,0.6110937885421189,0.5378775435210605,0.5384090693869699,0.7138593127183578,0.9288123625753559,0.6797401138561742,0.9708576717719253,1.0117494097356017,1.0216219310579124,1.0094182057965932,0.7042670942053149,0.4448121380119082,0.5739341872909118,0.6893870268904976,1.123004392317838,1.254355987829938,1.4888739718711226,1.093487105759742,0.9766336462876295,1.3381188392620673,1.1004414442719181,0.8949820401837292,1.2758142750921855,1.4093998961416239,1.0369878515163413,1.0824886427987792,1.3982761781645607,1.3431002735531266,1.041293627334245,1.1157212377296162,0.8494272451554309,0.8557597286814361,0.8460168026216647,0.7596092016424343,0.6539974019835431,0.5764347386026988,0.5621584924229553,0.6141159568970046,0.718254661311425,0.6677399950865838,0.6961779118318208,1.1354171104315105,1.064317324593596,0.9637315243602305,1.0776318992853402,1.3093729165741628,1.3658669055308565,1.3450775254197425,1.517626224472401,1.7765709192315389,1.543641429201681,1.4389311615798583,1.17871725538059,0.9744999399684711,1.4538715578267307,1.4656085315374958,1.6397908568911956,1.784989987535242,1.1013799456468822,0.9361357900322417,0.5392172504446481,0.4599798825493374,0.5336350359614042,1.1760595432049061,1.0979440943638585,2.2222452559537618,0.9656406697376638,0.6928637139945292,1.3978832084131116,1.1335344241087597,0.6137044614916274,0.76825846046157,1.414886051477184,3.200160597303832,4.6454911409256905,5.007463549091502],[0.4509670759035205,0.5094985428512628,0.5605639889006174,0.6522055434104717,0.5120745358800814,0.4364048691747749,0.383281004138549,0.39918284049096225,0.38425298968985633,0.400327617849981,0.4432170116992855,0.6085444363304183,0.48555205738384805,0.47908594785040737,0.6210873523434935,0.6163050380270232,0.5772051021236071,0.665237282801742,0.737370256539243,0.6868421928007569,0.8064581979715861,0.7694994154024934,0.9092367073721409,1.1662003954245435,0.8029810633774916,0.8053771702798711,0.7028113556635404,0.629164545297957,0.6230542929845899,0.6144403557790329,0.7345755479804089,0.6688523966746223,0.8363410802906703,0.8189935631459964,0.7412018664982106,0.6989228235150621,0.6537172285602082,0.6178634993418303,0.623375423185716,0.6196994579501992,0.8916857732902841,0.746472851755902,0.7615156771531645,0.8240305424884373,1.113461933185134,1.3350579293532918,1.3879643928747385,1.1897869930497451,1.8677354246967237,1.617042939658341,1.283650846152602,1.5479383306057777,0.9161547144007229,0.8678111387370078,1.022291221556645,0.8176752430954852,0.865858374734607,0.8231940947752935,0.9087430870428618,1.0926444644035695,0.8825175157071475,1.0028297989546937,1.036919629517682,1.1759998968962715,0.8953838604391195,0.8839846497592808,0.9411913676901642,0.7828220565491527,0.9211484063490795,0.8255319552620153,0.9350398205389374,1.2695592375319031,0.994981667593743,1.1335918295571406,0.8622903617609539,1.5678514273014765,0.8481315567758138,0.8504793407137781,0.7851049171565347,0.7684329678847688,0.7649156401774975,0.7286264013247862,0.9740462914127556,0.6928482645295941,0.7124679956062917,0.6433090833682596,0.6698344375728827,0.7592938418817554,0.7308700097832854,0.8790473299770445,0.8205116189381083,0.9867295008592732,0.8891649603304653,0.8465640200010923,0.7709923671723763,0.8638200194881596,0.7383598010182149,0.7614811023418379,0.7116498072486008,0.9845928936686673,0.7275995928276273,0.7229265252804907,0.6250017306614026,0.6278158911918146,0.7339225557734453,0.5856035321332062,0.7127691637156902,0.48963756106430706,0.48655147375230146,0.7215195211877469,0.41839939158586315,0.402870794533792,0.3801944032479249,0.41053284060894374,0.47229072347736123,0.5269394291665862,0.5925716291333596,0.6923146280934237,0.8456917448546214,0.757715719976068,0.7084652187363893,0.6445140937944649,0.6339436278766378,0.49571530670086283,0.3891441018832554,0.4068901980102919,0.5561910134433505,0.41658013131083105,0.4062615091887337,0.5585116713372847,0.4486942169686938,0.4834211572869591,0.4568942481825682,0.7315577245176879,0.4934196596889352,0.5136441501650447,0.7592639050690235,0.5428733501322521,0.6720590234796557,0.6499840280250532,0.8764771398126086,0.890815555780157,0.7230673235122634,0.6253089710702364,0.5829859796580019,0.5616093823383828,0.5105310832210431,0.5157473492807456,0.47028529799086893,0.4544286470495721,0.5225637522647119,0.651885391311299,0.9961105900503416,1.965344075924262,1.3216121923045279,0.8329170835661721,0.6123993178142094,0.5847199174880459,0.5815005364186892,0.5204719809255223,0.48755098393890794,0.5674243110854786,0.5012082297720958,0.5386508786076801,0.6470664953868058,0.6657992916148773,0.6445204531285934,0.8976152525120846,1.1086300118014394,1.2203878052252113,1.090241845473152,0.7588071518711027,0.5960644076048819,0.5339712327843139,0.5132648538203735,0.5946867782665713,0.5988477018483418,0.827491646259302,0.5821106852410903,0.65496880023756,0.5141973071197323,0.5382212595429822,0.5619042629398027,0.5618896884186412,0.5952176703403593,0.5893695827640987,0.617893792414196,0.840449449490947,2.2316222406799664,1.0658664087494805,1.6983117363229854,2.0771784489026714,1.3089569868772395,0.9910604418366702,0.6042915072104524,0.5791392441966938,0.7891081328876706,0.5072222135420398,0.5884417998547588,0.549107202181219,0.46676535588198526,0.5331705088036579,0.4668056525384785,0.5575102439166969,0.5322030686176309,0.5787446804264853,0.7975094219417227,0.6463286087318256,0.7556115352401974,0.6637482486572617,0.74120350209136,0.7491454653019872,0.8255129516578901,0.8654039937828307,1.0007820200577682,1.046766687372202,1.038518011709836,1.2256365697768232,0.9421616862215894,0.8014628975399121,0.777255057479835,1.4856888082414768,0.8825672853384624,1.4642287014731654,0.7689705649008141,0.9052328634388904,0.9246980392506636,0.8022440327225095,0.6434742597143196,0.5560460018435065,0.581120811547459,0.712055778232402,0.8955165168948819,0.6626905581267792,0.99771231648809,0.9694473410679288,0.9888033881670432,0.9539807559542326,0.6778069210267542,0.4879827725074202,0.6346505497276476,0.7596588671411726,1.2142593670116026,1.351277963717363,1.5871131663253886,1.1493902392080313,1.03876723059724,1.4345684463863562,1.1621967074684914,0.9336207647676541,1.3085257405569186,1.423414809419491,1.04700056046401,1.1020742760155817,1.4108457110616315,1.3285116323267803,1.0423793726445545,1.1288283313141665,0.8719204352671467,0.8854438337793819,0.8786922499625959,0.7960451011280559,0.6816606324022633,0.5972429244493355,0.5886174427148249,0.6220497764097092,0.731301788261726,0.6680349744214561,0.6872470462638526,1.1167467593327296,1.0530462295560437,0.9429207138236876,1.0659631149905073,1.2951935653483224,1.3509689503351126,1.3311475135187825,1.502617159010612,1.7742291666745567,1.5391905720443753,1.4346498177925044,1.1796021371540775,0.9889243666814028,1.448956728483857,1.4472105340849784,1.617573196377878,1.7539427150163072,1.0776085369080326,0.9307015206188428,0.5597316596691183,0.5049356575868703,0.5711659687156915,1.2211949782682874,1.193007967720659,2.2451025931214925,0.9663337354408318,0.765966205371523,1.4730996981384015,1.1147277450310347,0.6648153601964165,0.8291994006610947,1.4816108737511917,3.2857590460207287,4.818107629059762,5.28867174426415],[0.442890313790085,0.4830146869864719,0.5142084991593683,0.5836761846751047,0.46881830306453043,0.43403978039686614,0.3592361836931017,0.4416138736925705,0.381603841640426,0.3454566369997102,0.3783735953692429,0.5350722950669743,0.42311689685865433,0.390157311082953,0.5363604532488105,0.5378509123964819,0.49499032318664477,0.5839751796112936,0.6702313788633729,0.6135757122706884,0.7451330857463927,0.7022920822152526,0.8815275746528627,1.1522904559907232,0.7327918507785068,0.7394662708606926,0.6206800454891279,0.5450940407200697,0.5370368993247555,0.5461649867578443,0.648924692829117,0.6104079377448234,0.7944790180662635,0.7466995117180828,0.6712093486935032,0.6152372527208643,0.5782339514618752,0.5316210413311889,0.5350851898643345,0.5486673616232919,0.8182166602359249,0.6685146007845099,0.6867496941090682,0.7546225070704214,1.0361541971751707,1.27525937596939,1.3148419001940819,1.1255313287905737,1.8815049383430706,1.6108881056439115,1.2009945731625151,1.5276376376401262,0.8421252996420627,0.7548999181048819,0.9974416380122979,0.7463597627742071,0.7908280898551839,0.7492016780524589,0.8559378528169153,1.0287534009907435,0.8177837333455323,0.9799161824778557,1.0180711387672627,1.1415352074991594,0.838596179274537,0.8244402641971184,0.9112340782138569,0.7275604902166595,0.8590490423691705,0.7627010604587066,0.8770691083931178,1.2852565235206415,0.9586192913553201,1.108776086674689,0.8255973459458908,1.5575349384968993,0.7986042034094495,0.8073941457624632,0.7304187247677769,0.7218219401279579,0.7072819979972663,0.6766636670926509,0.9187996940056379,0.6780545479818831,0.6620565494432009,0.5840101656964551,0.5818014526583388,0.6999089243353068,0.6550962715144967,0.8238530065448041,0.7621346662411419,0.9327360365764485,0.8150763672992747,0.7563502461592522,0.6745768636304896,0.7454959978690014,0.6512182183808,0.6900969157432565,0.6558692754848457,0.92339399585836,0.6841709520865811,0.734451727051002,0.6000054868150898,0.6334721572524038,0.729779742599455,0.5882853050548804,0.7651853342509285,0.4906408678762119,0.519317522750653,0.7596933569543716,0.4480672876921786,0.40867382382217254,0.3696308367543797,0.3924967661761347,0.42743306884002313,0.4613878040298462,0.5158555747764754,0.6142000408842546,0.7771898451763997,0.7017421645144853,0.637096554022104,0.5714081757308214,0.5597441649947555,0.4397444568564697,0.3610259508060033,0.37123557576663146,0.5021366314476362,0.3919112020273531,0.36427183308183975,0.5578300027868776,0.40189781963686816,0.46349963726666554,0.4186516489709308,0.7471993182846816,0.4640853480444424,0.4941815885645831,0.785092208287914,0.49923674468778106,0.6158260573221994,0.6110133887307003,0.8078682474159928,0.8044588881126644,0.6329488673000044,0.5385573367878453,0.49567905155145126,0.49273391146660667,0.4413882465899339,0.4536068745871326,0.439839786703348,0.431377444869884,0.5279651332415419,0.6330754020807241,1.027348577829155,1.9946648879493247,1.2194529793442008,0.8036531190206293,0.599480547676107,0.5910398579020328,0.5431130987945301,0.5189594226710785,0.45024776264291744,0.49446926545237446,0.4517235821249764,0.4719551857439856,0.556369846106527,0.611333354248071,0.6250859560203377,0.8957489054637876,1.162942914229141,1.2569274784500917,1.1482148366866698,0.772127027980141,0.6201602094163065,0.48101792247591485,0.46312888470954877,0.5763139945179713,0.5817948489913026,0.8425924549819551,0.5833483251736139,0.6373884249042916,0.4799351914891853,0.5033845308308946,0.5060690273079331,0.49975682829490087,0.535643926019211,0.5405822681354528,0.5646723376274965,0.7612525695892944,2.2237593577522654,1.0464746753039942,1.6382086911908282,2.0109511827242676,1.2513059691017923,0.9321091946592724,0.5474920403589784,0.5309190782766309,0.7897557059917194,0.46144748595893853,0.5455920895532245,0.5039366249450538,0.4759886787190481,0.5752213797174316,0.46855430433608336,0.5684821000759491,0.5682968330725079,0.598154113359926,0.8288156690608204,0.6802850889009656,0.8008212417120032,0.6762462651720648,0.7895397810509956,0.793785381723608,0.8428906581644258,0.9140017272064718,1.0724356230003358,1.1373245884210699,1.093399695955294,1.3218123786994336,1.0084477788979314,0.8655146870355235,0.8534146088043273,1.5877512544456014,0.955190619611721,1.5424150849754297,0.8449149877293273,1.0047456409144568,1.032600460601672,0.909142617449837,0.7065877664825511,0.5794686431048924,0.6121077500577201,0.7089796713932998,0.9248812358565136,0.6611469341004113,0.9716991087533917,0.9466392223067256,0.9667176528354302,0.9338163444294348,0.6641239907954352,0.49517676647821385,0.6861327668940966,0.8170022336977093,1.278376975816579,1.4497756053185513,1.6590956073367555,1.2222194827048394,1.1383164444191534,1.5292178578207751,1.2539111619001122,1.0330531652504071,1.4301634686280047,1.5361331699043823,1.1202425554240836,1.2036911744648533,1.5285382138237253,1.3928321808621933,1.1064820798442623,1.2264657781033987,0.9557683401390941,0.9994531802045781,0.9880726335188543,0.9151267892131874,0.7794205096240446,0.6640971443967292,0.6405222451272556,0.6751524157218953,0.7678866911702064,0.6858639875221599,0.7010030999856491,1.1408924584932856,1.0816098110213996,0.9396547072747404,1.0646988823996173,1.339491488689563,1.4028723967825616,1.402927368935308,1.583354155107353,1.843477708357032,1.655306990762427,1.5406301793138764,1.259154177092857,1.089446849397128,1.5719318682799872,1.545066889001942,1.6993267055851877,1.8146031902565105,1.1082034709918793,0.9515344844761544,0.5276542156194068,0.4691480243394314,0.5373386049612375,1.2076802313629271,1.1969254750341152,2.2728156395632584,1.0674018871660653,0.8610506950128833,1.564305590313892,1.148915074809024,0.6514281148085449,0.8536795800987282,1.4244410844348416,3.1773759157981165,4.79169353372873,5.354886151632257],[0.40806439508846415,0.44705496461321875,0.49266577030662395,0.557662322071106,0.4534887541481504,0.3966474279349088,0.2911322155436794,0.3692665781613406,0.28988345043567537,0.2834265825068871,0.32328911588911474,0.45310702575062556,0.3507189699121047,0.3492951580216488,0.4831799045451144,0.46362555486965745,0.44916633192008415,0.5267474177125343,0.6122493501028788,0.5597582671704742,0.6837252683981678,0.636201379506167,0.8125952423312703,1.0702747318770147,0.6894186896593565,0.6812692058093159,0.5670766022123938,0.49092385004855754,0.47573667639321005,0.480085275191579,0.576897478474155,0.5238642902174352,0.699400282134371,0.6461958143559601,0.5726528826058819,0.5268132102945976,0.49085584687356953,0.4561689517163201,0.46559020306002713,0.47108851933872925,0.7240002617797427,0.6149804343417993,0.6219927457444898,0.6950443877654781,0.9838795255867356,1.252530762698143,1.2424996383205107,1.064973942927402,1.8924905999163242,1.7160461024075175,1.1428031479546306,1.5225508835789783,0.7833197341219204,0.7110798427479796,0.9696665815484827,0.6630406090457743,0.703738263093713,0.6784314333498667,0.7703522693163741,0.9749436124198269,0.7439169627411247,0.9017312230359926,0.9471629906833138,1.0570990685477037,0.7676233979288472,0.7507929640048935,0.8581655043551893,0.6671281273404294,0.8124619606945546,0.7328210733156937,0.8528931361337317,1.2155172886181045,0.930212532813922,1.0605123311390254,0.776168859532932,1.456987718608238,0.7138855843474978,0.7081068488751024,0.6261734314344888,0.6203594572563418,0.6217823132207723,0.6178006413639117,0.8556923053409823,0.581378404288003,0.6009858466002787,0.5133879784600821,0.5117789354032165,0.608477560513008,0.5655674356354735,0.7259810431692222,0.6686237329392415,0.8533576162079628,0.7371549135093309,0.6724307365245973,0.5999345390909246,0.688047328997504,0.591140193801333,0.5929322287778961,0.561904057485685,0.8278184682298195,0.5889440201748242,0.6279377942294001,0.49929312231410017,0.557115990899033,0.6689025786670661,0.5265442907400492,0.6949650011397162,0.4204078700039789,0.4739532688801731,0.694811960906612,0.3913675553171574,0.3291078998208738,0.2935692048210388,0.3566439505695557,0.3873560079492802,0.44336369063636943,0.48870876585923556,0.5873197893546815,0.7466653264886036,0.6409903418972939,0.6093133218204255,0.539518586868023,0.5287844253680579,0.41771050700149037,0.3297544668354665,0.34216047831700636,0.48084209118374865,0.3603200791993105,0.32091898685408654,0.46236244057200393,0.374273027431657,0.40981188384374906,0.3482395908724377,0.6327584579787419,0.3967897496509224,0.4384783743652246,0.7784858689695778,0.49093075785809337,0.6140982136626346,0.5753956214975058,0.7864733222136443,0.7810360552863465,0.6101209249579331,0.5106095627868752,0.4527884422499418,0.44103690337645257,0.3884368109417758,0.39434805955319213,0.3674321249770426,0.36898911075056157,0.4615165397543889,0.5703096022185513,0.9661573331266963,1.931371186388778,1.1501362139170581,0.7148836932320856,0.5189366977557411,0.5088792635671758,0.45382999080640424,0.4459497790115284,0.4074291093095444,0.4188818408332372,0.4016361436802721,0.40818078191416884,0.49954731544375713,0.590216722260673,0.638025232787568,0.963266418945647,1.2476500645574184,1.298464881978535,1.1845494104362657,0.7537893161405633,0.5991908764519587,0.438867076157329,0.39119603282379917,0.5092979391891651,0.5076367180079188,0.7764826877718145,0.49307136451636346,0.5905758054831411,0.4298791289422954,0.4470999143037878,0.46652078872092845,0.48554736173047547,0.5142222263631019,0.5137519383390973,0.4909320766412029,0.7153591391378882,2.2164369245725464,1.0456504126141064,1.6351829883474458,1.9423606861285634,1.2292536123711466,0.9382490042308271,0.5391262939582788,0.5482557276806034,0.7935968787743973,0.48186494607967695,0.582458461128686,0.49811620994324346,0.44476442609413686,0.4931141001754809,0.42059019578891255,0.5678443719882051,0.5221916003918007,0.551888164956042,0.8374640773683683,0.6680905115934801,0.7699571066747127,0.6465175334640942,0.7643371896216437,0.7659696556564618,0.8364190954302504,0.8765779074502374,1.0391688837809485,1.1241626126859914,1.065992154296682,1.3400762784321876,1.0137776186883756,0.8508043927052824,0.8528238540241319,1.533309298270818,0.9449155941867062,1.5041300372315687,0.800839627634857,0.932099331371449,0.9499091062542884,0.8085948658021952,0.682255988246107,0.5605599420382618,0.5480805500439466,0.7049113362178823,0.9740297554819237,0.7004122639582823,0.9696735317747878,1.0443803086116445,1.0409759250416712,1.0171002136968497,0.7211462902942442,0.4454300052650908,0.5954919089991828,0.7158020011095897,1.1662321842411059,1.3432170537776587,1.557698255347469,1.1560376718592795,1.0586544237617816,1.433118796200104,1.1779365909944122,0.9781327871860969,1.394814149606781,1.5224044519421198,1.1076397548221315,1.1858626169143527,1.5263232100192705,1.4170115343307663,1.105318597801934,1.2186413958873856,0.9299315976264347,0.9549812422261498,0.9366694344883387,0.848801751575173,0.7348149201321764,0.6285874809053438,0.5963058280490389,0.6623294009342809,0.7672755704089209,0.7001768356365364,0.7272159664561263,1.1953427195824469,1.129174658886738,1.0039988225945322,1.135832755351849,1.402121186369691,1.4676451903522885,1.466988345397953,1.6563539643270162,1.8939908601697184,1.7093758295226136,1.5816554493485342,1.2856924025898324,1.103713492151646,1.607110299507382,1.5994318851209364,1.7638070316136152,1.8863361434093657,1.1672662181076476,0.9885996758016045,0.5394028069368051,0.44088719187294606,0.49953563132366424,1.2003860717230734,1.132854728390702,2.270585633658531,1.126983087913689,0.7959841010390908,1.5098528209545596,1.1804899292783375,0.6178830631331803,0.7918680441216309,1.3114346543550501,3.0524586509103715,4.590212233167175,5.050462134579242],[0.37799194895171684,0.3930798566942626,0.43352649569891283,0.48756466103974105,0.4252862841165416,0.3703156494059143,0.27392627255047863,0.40448566335087205,0.2949611046599779,0.2814708074405605,0.3307631278878139,0.4656905507777124,0.34932800084940496,0.34779078519769485,0.5169008348069202,0.4660696361337541,0.4316484260137181,0.5224243944284124,0.5812484867585799,0.5366085872045977,0.616682725879641,0.5886105094758187,0.728276672882461,0.9558197724971355,0.6776592028663856,0.6447928118531283,0.5288369964058732,0.4625294617412933,0.4695398299155684,0.5048464208383624,0.5877537702362241,0.5579184360154195,0.6941542855608065,0.6599779305034805,0.5911745102743732,0.5425165917987818,0.5285893037203869,0.46449495189716405,0.4340345294251613,0.45933687217524183,0.7057489181440693,0.5843139356193962,0.58305447579377,0.658538237078554,0.8638862099803284,1.1791956138141142,1.094203299116607,1.0080852719924989,1.959210988607315,1.8544945492557892,1.0793336237102726,1.5665981078254503,0.7563550721750633,0.6623124081237447,0.9622925026420097,0.6446455076688419,0.6689166116059705,0.6512047392504768,0.7524731173064563,0.9321567190979191,0.7094191148921937,0.8911679256893745,0.9474433553277185,1.0014839656649068,0.7147509732572935,0.7289540974527461,0.8277293031948144,0.6477835061630799,0.789661947438907,0.7229287759271393,0.8697313074810457,1.2060722429172708,0.9291188407331147,1.00466389583138,0.7691995666918722,1.4279337690064802,0.7007596801003666,0.7087474489401797,0.6344385045621656,0.6291546078361011,0.6680071675885119,0.6323328377133203,0.8669081988145504,0.628627345622481,0.6144074445623493,0.5275334683157439,0.5105423403827886,0.6427955660108967,0.569066752923567,0.7438695693796012,0.684505448367665,0.8716648867399904,0.7506484935887697,0.6813299925760586,0.6217494660254272,0.7052226935907286,0.6381132631297662,0.6121206970792734,0.5896322625684178,0.8538206543726744,0.6270767997010326,0.6797478293795031,0.5515904541881921,0.6140243363823512,0.7157061067978412,0.542383981529375,0.7467365674727711,0.4599422702376468,0.5017449278973817,0.7029967482099042,0.41253775641457413,0.3361540337005632,0.3045355042107473,0.3345475173007848,0.35282304957929955,0.3851690186556518,0.4397544579452103,0.49326873388472237,0.6406429470454719,0.5970889204150873,0.5494736402525622,0.48417469273903346,0.44191017846762076,0.36506578994500033,0.30365156215939954,0.30265986266753364,0.46099747860880286,0.3730897438398458,0.3185640490219406,0.4748095634616028,0.35973185401463303,0.4205083116958158,0.3486610101443777,0.6476378042680306,0.38635164230130886,0.4499437894560914,0.832564300246591,0.4312102004806012,0.5433539996217343,0.5053541402682227,0.7198727689118449,0.6812740821074657,0.5173795806396577,0.41757541855096825,0.3809885768879171,0.41030326166543435,0.3451022058707337,0.39336986121039125,0.3862142849187878,0.3997833114218606,0.5112335492119118,0.5909870069174782,1.0193259559341792,1.9397631927565224,1.1256949655236268,0.753787509795068,0.5676580032912597,0.5637689501181632,0.4955589368725578,0.5085767944868144,0.3940497824994776,0.4216333485796814,0.36363177337980934,0.39364318915779295,0.44932571392486603,0.5287236037249897,0.6779068166454976,0.9894503729592595,1.3364289335069417,1.3522452257616855,1.2590373880061785,0.7642566443444067,0.66173630783672,0.40837956136594994,0.41331863133456614,0.5465018929763403,0.54171065834496,0.82761609807415,0.537374775159416,0.6364290269870193,0.4506252327283881,0.4534789128469703,0.4482380806952538,0.4509994136878004,0.4693214270300864,0.4968399156599365,0.4795777812650455,0.6693730436093578,2.182093258864402,1.077866409712363,1.5298651967523165,1.8111482888652826,1.1578132454625023,0.9071504701167257,0.5035238936834017,0.5296958853077868,0.8142139403510501,0.45304482847073296,0.5523732798858331,0.4828978623496181,0.4564767667026155,0.5275832166654365,0.4350189209605817,0.5673179966470204,0.5467472887185392,0.5679894194439504,0.8675477617766433,0.685785518878092,0.7876691004842654,0.6531878726908396,0.7952391530707419,0.7729468933351843,0.8190995482086217,0.9168704413679201,1.080584642581395,1.186206842110128,1.089499526285832,1.3846907123605905,1.0414503395927177,0.8639568930734386,0.8614581597546799,1.5972065095849823,0.964014221473234,1.5484896314609822,0.8376270452064792,0.9954532931519869,1.011345393356984,0.8834836088703173,0.7299764143001578,0.5781777457816151,0.5751672866107524,0.6882040019583993,0.9639595577601698,0.6875489312079429,0.9429524467931806,0.9895213985651711,0.9799368421047098,0.9710447221987406,0.6971684889588854,0.4477424600264244,0.6374932991676353,0.7601488629916393,1.2257024618243575,1.4082783354137203,1.6161385509811312,1.2271050943140978,1.1198898875003147,1.5007093006522072,1.234654169375643,1.0300539443568295,1.4534844138040601,1.5769372346379824,1.1375663945149053,1.2263794623449984,1.5686106514999454,1.43255547243273,1.1156861091442363,1.2434834588565644,0.9545267622575224,1.000064998984715,0.9914737978314819,0.907095644808236,0.7756691201616694,0.6550017909512745,0.6295519514824635,0.6762298912464872,0.7762436258309535,0.69713738568332,0.7178087673998101,1.1787050772524703,1.1235548735666085,0.9711234537638249,1.1082130936457804,1.3843658684130964,1.4769836745576166,1.4980000791411345,1.6732502186953333,1.9123340778394011,1.756814173339116,1.6474610679192607,1.33729327313719,1.1874113071797687,1.7098161281686262,1.6771189258830352,1.8104423529397187,1.9063959026700579,1.1814320517562902,1.015015098884652,0.5164282503260241,0.4362113800867178,0.48873804301040125,1.1810204005105494,1.1150937514618846,2.249104217599032,1.184489289200269,0.8438039914449776,1.5352841085669178,1.1601697892728267,0.6022803797520325,0.8141566734006008,1.2896916972605745,2.997902327799979,4.547479471737508,5.024113258004005],[0.42427980765471474,0.4549350321977695,0.5124659000068416,0.5574548287806037,0.48467623250175157,0.4055421220047716,0.3253877486132368,0.3956240527142332,0.31935131389358046,0.3255155215392606,0.3505068366857171,0.4339192511773041,0.3519868311058562,0.37399022899697015,0.4866293330529552,0.4446096880270911,0.44510893609775687,0.5131399317339158,0.5991313742358351,0.535990261737686,0.6211912983004306,0.5801078757994548,0.7642405561089985,1.0166705165909615,0.7149917652398411,0.6827665196507351,0.5769024856346148,0.5030754581033439,0.4649521897668291,0.4738554294586257,0.5395757878124954,0.5090596669077753,0.623916173779946,0.6009482878462578,0.5252101888522749,0.4928760995304057,0.4585789257645025,0.4608360990083277,0.4794938732735794,0.47362567828199664,0.6901036423230734,0.6150565619475328,0.6108160674308881,0.7117645275585572,0.9140738206751525,1.2313146560982735,1.1814407074155877,0.9771729063930108,1.9301588915844723,1.8943362946640534,1.0779505999591887,1.5982143154576054,0.730650522593311,0.694912395972318,0.9637730737648682,0.6202962014523293,0.6521290401438162,0.6324890983757097,0.692775066589812,0.9795316863262395,0.7031805417746637,0.8408196238559407,0.8860172047294881,0.9719728573739637,0.7043450904148971,0.7038850267058386,0.8123444539766673,0.6175808849242784,0.7885078841947619,0.7132511506199566,0.84857646622351,1.1287526297858341,0.8881598745253679,0.9814690087856266,0.7227068954338611,1.3621481708123842,0.6522944525547537,0.6439742089289998,0.5676690842372248,0.5521715648520001,0.5897337438980775,0.5745857491194277,0.8044448349622425,0.5496285624070795,0.6187271002494313,0.47919908616293144,0.49418217644785717,0.5642573828414571,0.5148053084443852,0.6740218731768864,0.6158763398541287,0.8097417839247885,0.698393032106222,0.6318677485309329,0.5734608100669009,0.6731512686488961,0.583995768463408,0.5669709039850492,0.5246900574037275,0.7903968709273247,0.5455896924994013,0.585765330255694,0.4546681723371693,0.5390602849347749,0.6037474389348504,0.5098532219442414,0.6742160219088683,0.4177505759540952,0.4605202664756278,0.6559774740880822,0.38162908124297745,0.3521950610758079,0.324433828733872,0.4069977411718962,0.4074158345753382,0.45805127775829946,0.5143421928391524,0.5866178305185906,0.7128329005732733,0.6284827415857188,0.5888609532027709,0.5491669773008622,0.5171617033594785,0.43810387212435764,0.3801629553782171,0.38878980801870205,0.4928511787738432,0.4201479587618727,0.3529092537376109,0.4538106876812232,0.4344136455102973,0.4374860350368283,0.41011042069199816,0.5645289097930528,0.43056942932483827,0.4787328677124259,0.8342446886751109,0.5296833850629052,0.6471075555235289,0.5931415344565429,0.815670951827347,0.8100811566033793,0.6237691827872199,0.5338259875687088,0.4724950333337473,0.465159289558515,0.4074592010277283,0.4084654475778662,0.3750781325609472,0.40255521676433964,0.4727826929002723,0.5662228336027759,0.9236320402038308,1.840740108858537,1.0996643802305244,0.6589720701286783,0.4949169176453149,0.4825715863036869,0.41399912121681115,0.451712340274553,0.4096535163738699,0.4162212421054117,0.43050653598311667,0.42723698220155254,0.5124841668330803,0.6261232399426201,0.7238435660940857,1.0782007901095678,1.3937532470170735,1.3804076116443678,1.2752395318804108,0.7771229404867983,0.6439912256822439,0.458280307591495,0.3884146236218341,0.4828213297230214,0.4699320570587245,0.7294613102490386,0.46576990562838444,0.5644638636584276,0.45033392729588345,0.4453915656095504,0.4810719184983442,0.5212124292670688,0.552338172571728,0.5474070875885328,0.5050559652908753,0.711203189896846,2.2860486076312916,1.033978362134786,1.7249567216204509,1.966336199516284,1.3093708619807367,1.0390835908599796,0.6326676842486718,0.6731401739729616,0.8829292386786488,0.5803814359699739,0.6730632622087117,0.5308676846665231,0.48722459863697554,0.46773792288861876,0.4231067713977954,0.617331299117907,0.5245090159097144,0.5495153690014939,0.8655335914141319,0.6865217126903149,0.7689441145375632,0.6522216651962943,0.759400370058425,0.778094132243346,0.884296590656058,0.8515855615029766,1.0303579664156544,1.1222165352873388,1.0862402872910546,1.3743913095213829,1.051720083596385,0.8821715042431677,0.8986117753372257,1.4935940910114704,0.9549155397531985,1.4407118951327205,0.7709747189123918,0.8616582587948126,0.8697094704601518,0.7381475587408565,0.7023455141975966,0.6271925216759069,0.5780311609031438,0.8196556965151284,1.1098003793988152,0.8243834176006908,1.019806884105047,1.183151369022786,1.1631739143485829,1.1298252104454694,0.8277571225613078,0.48974648154887596,0.5741820651312279,0.6508531489077434,1.0575407671913684,1.2181029772545537,1.4327304334192927,1.1007229938228964,0.9696711881792036,1.3186078692202108,1.104496389197737,0.9190294696599168,1.3452119385354038,1.500860537429152,1.1031246470649214,1.1680444468075069,1.531612208766669,1.476107490753253,1.1252682796999258,1.2158223587811372,0.9212548084832245,0.912151360193934,0.8904213694697064,0.7881065467185203,0.7168371732665588,0.6389730285523093,0.6080298020077595,0.7106266814245148,0.8177295834524566,0.7777417584154658,0.8313401475358293,1.3175557443640566,1.2183343570067922,1.1009189574781977,1.2532857885652413,1.4868396998597035,1.5608666538895322,1.5530226296142347,1.7496516267100548,1.9759346233247534,1.7701607509802357,1.6331607501201775,1.3289129682041374,1.1211975193526065,1.6474061141698668,1.6677165418110547,1.8505896101752635,1.9699826192094512,1.244951681894886,1.0294547813927517,0.5976535689264572,0.47390400480578476,0.506395870686767,1.1683352472798358,1.029891934012802,2.2166430799016474,1.1833813204167374,0.7117862552726134,1.4200060851362022,1.246057558698199,0.5888380512814269,0.7264658666733468,1.1988149801110919,2.9189433867418555,4.3022478437114655,4.6103331823584766],[0.5007336207349583,0.5025213222279553,0.4846864558298661,0.49504728634865824,0.4891648179424999,0.4180908782671535,0.3322752245096275,0.456820806745591,0.33565667259499365,0.31052279444787995,0.34839326362626594,0.4495607314292016,0.3587574955043001,0.3436566641331808,0.5085810007640617,0.444531331389058,0.42179137744078626,0.48224975095732686,0.5308255057157051,0.48879807013552456,0.5534366239413514,0.5295729273870606,0.6965829841584662,0.9054323885738225,0.6599069173317506,0.6008951041520152,0.4921204644585141,0.44190210362405863,0.44643382999426895,0.4921123028112169,0.5323735354626743,0.5355023931147819,0.6265489696504585,0.6009511313843671,0.5465561285358695,0.48704928734412817,0.4993870545093532,0.43618183524542536,0.3967356669077775,0.4184681509168262,0.6781813192880806,0.5484327531239193,0.5315529530186524,0.6157114442791719,0.8128773500647417,1.1821427536002467,1.0630198689908312,0.9410952636351487,1.9785015398026236,2.0145736852686387,1.008532029811787,1.6102622088334413,0.7247652925042137,0.6352210600538944,0.9445894562464116,0.5817601735497859,0.5998515876248531,0.5847840158914793,0.6731324409446786,0.8773091660981762,0.6447700746946772,0.8216179347777361,0.8888403694959826,0.9235444201372373,0.6385886181007577,0.6643152150234695,0.7803686797141823,0.5908989222205868,0.7365303403133909,0.6882575881364349,0.8405224204586766,1.1181934091131758,0.878386449969213,0.9386669417587884,0.6987435270018613,1.3116900553826616,0.6178845094325526,0.6256008519228995,0.5622053836642877,0.569831767580126,0.604484006827275,0.5752251237518915,0.8305392930856491,0.5832927017291044,0.599870282782362,0.5028662132843754,0.4809882926129777,0.5841372628539364,0.5101049996327656,0.6804466335152494,0.6100975579380842,0.7943759881354154,0.6791814559312338,0.6268916778211586,0.574432600240675,0.6592659470972871,0.5985666867318861,0.5777362813073551,0.5677959852690855,0.8391815805303959,0.6216816745817375,0.6889931448615259,0.5510574800776785,0.6118863121495471,0.7057266639320915,0.5875483999254949,0.8337716395604409,0.5316509770055182,0.5583512027011764,0.7309722876661489,0.4759123282491475,0.3840974472886158,0.3466415280133716,0.37305242641039527,0.3508058509683255,0.3952476951792395,0.45157927831149924,0.4762253859835155,0.6088326052238106,0.5550632825979629,0.5181464587264756,0.47002042173040104,0.42518285986924953,0.3660698881016747,0.3507475819377427,0.370322885240779,0.49981476832911376,0.45688268914677893,0.4204471041424421,0.5265195166351495,0.4566751238174003,0.5248374147160517,0.44399325816702995,0.6583573438301761,0.44062934549018273,0.505300354766936,0.915721658541254,0.49854082799144805,0.5717787565155338,0.502641052285851,0.7395348203244035,0.6866401451477702,0.531149935588887,0.4330831268379613,0.39297250258283395,0.40121776741895826,0.3570146045510194,0.39599967368157335,0.4030497052716153,0.44222409977193616,0.5502200825205927,0.6047998353756825,0.9986456051644951,1.7761268305165985,1.0415043517176725,0.7273517317460277,0.5902025915405146,0.5623772787573845,0.49300158332406935,0.5365187729797257,0.41434466099219647,0.4143725455721239,0.3766827107668063,0.40392791880189716,0.5260275403815338,0.586595461680506,0.8327703650884818,1.148551536105864,1.5355303889245313,1.4646891976327212,1.3855129357238543,0.8215175409080862,0.7386837600773012,0.4452767983250576,0.41835273688659846,0.5296862111532195,0.5096704861931362,0.7818136622662175,0.5150889255956465,0.6210771564174694,0.497439185219874,0.47817525864549293,0.481520198615613,0.5219349599156919,0.5271036238838365,0.5299887554613844,0.45645101019278617,0.6704053590965886,2.1536313142361454,1.1232670179476023,1.530620756984259,1.6852809210318853,1.1393288133487423,0.956169767592314,0.5896024252024468,0.6207724659426482,0.8406891236996529,0.574779254154216,0.6702474980311746,0.5793368432731175,0.5533251066664562,0.589644488558168,0.5111364275067448,0.6507746466296721,0.6083016461820367,0.6196894142697068,0.9435443962811005,0.7604616374106227,0.8472344696226357,0.7063171770744058,0.849549638708949,0.8390158715404848,0.9002281598685379,0.9519406606419905,1.1312343657443265,1.2665702379824801,1.1197797453807787,1.4907479316139884,1.1391003771205142,0.9636477852720859,0.9601856374151738,1.5820505322860743,1.0373541035563536,1.5249853863927103,0.8747678803185963,0.9858096083871415,0.994000651114911,0.8611857245473423,0.8034904999375974,0.6880775169359491,0.6539459521298717,0.8118097101789317,1.1233014927462448,0.8350849179106282,1.0070386461710414,1.1433317941663135,1.1006502504205509,1.0714360304004134,0.8209388793828505,0.5536831855299973,0.656411883436812,0.7685452555373249,1.180737239050748,1.3817498803260764,1.5547103583027841,1.2465049536572517,1.1195948924118544,1.4727004159020014,1.2384976157389085,1.0411295015790043,1.485859645512396,1.6304066526243683,1.1982532826787626,1.2935835929069017,1.6708818333851614,1.5696162116294086,1.2013854719913104,1.3256906156019763,1.0115876279617628,1.0415673377475467,1.0186709755085583,0.9196050589377923,0.8269326758520734,0.7315398306975655,0.705109052374678,0.7880781463371413,0.8917842602663785,0.8328915579400266,0.878111663027856,1.342521643871436,1.246666569888939,1.0899173736899128,1.2662371940336599,1.4893548569502135,1.5927260512226418,1.635164497884567,1.8548820987002612,2.0583033306800527,1.8899028803532791,1.7770701008722425,1.4412628287137599,1.2932024831732187,1.847722162313068,1.8081455291862314,1.9397452279613578,2.016478877957612,1.2878610427560744,1.0982361438803359,0.6197948988359752,0.47748795900604946,0.5435725967702957,1.1673715524034818,1.0142248882557956,2.1834157310976496,1.3833965564474102,0.8373357074909727,1.4880423479881961,1.2524332549250206,0.6034482953775903,0.8254964421578925,1.1263583478686081,2.6773229861579995,4.074279430597856,4.487039140282936],[0.3848343463242111,0.38582600788292554,0.34162108057608426,0.38659789673291717,0.4227017642408081,0.3681336857085364,0.2717306840516969,0.47277601671282654,0.3330541205909111,0.2911212277195649,0.3628422343665663,0.4840807143623629,0.36098636325976047,0.3385392430555884,0.5133724128436272,0.44781818397343387,0.43318933370845336,0.4762626443891672,0.5014360713187361,0.4825008174761054,0.5485104264492563,0.50792843351959,0.6809434762891108,0.8752139260047259,0.6832684751889562,0.5921490926100366,0.49093257248344824,0.4336749221867878,0.43789773637763896,0.49048457940484086,0.520239354736436,0.53486691029754,0.6072547222649374,0.5930764121809402,0.5454830671371956,0.49189000109489567,0.512385763380097,0.4352776022387399,0.3859927594292539,0.4105861439706075,0.703349186595756,0.5394838276697144,0.5182437849668126,0.6079516879487997,0.8024660045423705,1.211251094215683,1.074244321894623,0.9573247751796108,1.9963936125822148,2.115458866651557,0.9769768109701527,1.6483650844343558,0.7220942668032161,0.6225794859775943,0.9555830999847162,0.5652229648925207,0.6075353908958282,0.5798728995178069,0.6779219090117684,0.8717851669591796,0.6203925586033038,0.8012041065728394,0.8836557384833548,0.8698564255836775,0.6114821930472377,0.6540275926279092,0.7506009927963219,0.5667886372854927,0.7178009244997825,0.6645372251715179,0.8299236290723585,1.0941340161063904,0.8519929702961175,0.8972723071259441,0.6902207589739484,1.300616320255909,0.6044533366254666,0.6107567561457858,0.5563325752459956,0.5640748038010572,0.6111454988486578,0.5938822568909725,0.819934008099082,0.6003281437138869,0.5928705318802745,0.503448874203061,0.48966807495053555,0.604891483823421,0.5119640631530576,0.6722472838440795,0.6095002490824475,0.7919642430681433,0.6714480009748461,0.6152806587130909,0.5657839406538495,0.6450571744423275,0.6044285242693397,0.5733494114243393,0.5660189663552095,0.824748335819253,0.6224850087422419,0.7039829533228769,0.5500986924370164,0.6289548421509487,0.6970394952474569,0.551320156105264,0.8112925894652273,0.493417831999451,0.5340162395016238,0.6916713584697622,0.43763542208795403,0.3421152799754939,0.3233779854754943,0.34868449870198065,0.34237248515219076,0.3776505763316375,0.43152599444883843,0.4296620143084808,0.5669221650960481,0.5212372490068466,0.48443735919500824,0.4361758378071737,0.3842222487394642,0.32796362418708397,0.32603396932611955,0.3227594906081126,0.3792450183313824,0.4160586544010978,0.36692971772620253,0.47521769909777906,0.42746098411593425,0.48270336161889654,0.4290287108016215,0.5728100134648669,0.4231837231597641,0.5088906667858821,0.9572454220795148,0.47279203834290673,0.5329780281287325,0.44388128809295546,0.6948543467277949,0.6402915415366096,0.4919100693200222,0.40557934428026937,0.37430253537545816,0.3964168062102553,0.3531417188044491,0.40032267859757265,0.3989008431862751,0.4387271979266172,0.5645524105053517,0.5994640099420729,0.9682611315238551,1.6838344595543293,0.9922619249947968,0.7221905515389515,0.5854079488311001,0.5782647895719406,0.47794153562942737,0.5355921862556899,0.4028532646693455,0.41614203525154203,0.3486567069886955,0.3948511749645852,0.5430293238192015,0.5602147340892587,0.875612339631539,1.1986596770593145,1.6059741267600975,1.4831035950738558,1.4244513885897745,0.8060132135746125,0.7593898018648804,0.43712698926510735,0.4174048702877459,0.5383161118165041,0.5246632375178362,0.7796636863894794,0.5326693241559282,0.622906891505814,0.49677760796827036,0.4628343778870406,0.4613985652650075,0.5115053713758648,0.5360156856254121,0.5381335898892547,0.446634680664843,0.7041505679890856,2.151395236784788,1.1521964678224335,1.5059131131285997,1.6100885866787316,1.150993128369009,0.9838391998428458,0.6065690528225229,0.647009987873695,0.8696306188242433,0.5101209008214821,0.6052150714650604,0.4905552354132871,0.4475196823890969,0.516463578315432,0.4066917493232273,0.5483437086511047,0.5246961447916928,0.5524234583064785,0.8374653009834884,0.6566783772455683,0.8132555561341832,0.6002136757729769,0.7186782618161678,0.739926654297854,0.8637479803595229,0.7986577174386423,1.0017621399740542,1.1942657623253332,1.05803421881583,1.4688008044663317,1.0630866219077433,0.8658312890075152,0.8971743222295272,1.4753411871571074,1.031263556313331,1.552487002468136,0.7955751771645945,0.9050536394342499,0.9233180486701914,0.7952763230313667,0.7517637747452123,0.6098483149889575,0.6267049762406804,0.7897932491720071,1.1247751011835503,0.8367842946235335,0.9821060338885818,1.1686928747733836,1.0840804099353603,1.0574929465437952,0.7777910348706316,0.46869853135206596,0.5886011192637642,0.7315385389942196,1.1860819680238806,1.3927924263330458,1.5708110410123384,1.3108241377609284,1.1069707834531757,1.4711078417789,1.2392122092274973,1.055782420772954,1.530002276248764,1.6964475063365168,1.242092250502741,1.3293571369166879,1.731576062118842,1.6495241563963896,1.2201909694726254,1.3523449858571235,0.9887621490905274,1.0310750100178743,1.0120221750014846,0.8851889927829396,0.7789543714912439,0.6472974348407099,0.6228330133401195,0.7052269215456411,0.8076769418255112,0.7641969002439805,0.8346869145791874,1.3152078588829903,1.2197248528203877,1.080992327799805,1.256575891926948,1.516647371925412,1.6329633852505832,1.6752630089032408,1.910171812834308,2.0969003614669695,1.9280090917100428,1.7961702644646313,1.4098313896117598,1.2521799654656962,1.8658174905110634,1.8162553117081108,1.9586632669947548,1.998998983584908,1.2446567837883638,1.0230534818237698,0.5342509951288452,0.412353250009263,0.4782727705725532,1.0875996299915445,0.945397836732378,2.1808425195137824,1.4000507522356518,0.7357602563093122,1.3500317619028335,1.2598063172122722,0.5399651403500781,0.6804653809585646,0.9167998677506638,2.2590186528976117,3.626683859670607,4.021938117554265],[0.5230280152637369,0.4884736944160475,0.4829559295251379,0.5367600187572685,0.4901071388953554,0.4676332490105896,0.32498601963846935,0.46828533915426473,0.3561968996011089,0.32178288646343606,0.39088875508230997,0.4983550966333577,0.3837169609411936,0.37017927840047093,0.5189689116789398,0.46411714117548164,0.4516176908494297,0.4949641574753224,0.5222774738114787,0.49574233271083307,0.5938791639730608,0.5196696953754416,0.7123054411488176,0.9472165751955459,0.720758017460488,0.6311471258344464,0.5315676457420944,0.4697247082229938,0.45429432460479335,0.4987279843880577,0.5267819545006872,0.5429086637172231,0.6228878536048268,0.6136473962097289,0.5551953387527995,0.5006754012333253,0.5226013505430189,0.4478986702392415,0.42907675923760696,0.4563963840867793,0.7143445727679478,0.5531437573140863,0.557574338962951,0.6136200567227236,0.91677008774229,1.3023337911568866,1.198420668719121,1.0240196345762875,1.9197518732807815,2.0707105624686752,0.9865771589238846,1.593081918199545,0.7789836876790416,0.6849667910875733,0.9872322006990656,0.581482092687111,0.6435290497611403,0.6183592466019767,0.6989986147457389,0.8773522767992973,0.6513564335903276,0.8163387074272482,0.9075144642351979,0.8968423607375801,0.6275871540699773,0.6952097441349877,0.7578704592951893,0.5759701844571743,0.7471720712684016,0.6907005417162054,0.8346346645784254,1.1076161819641486,0.8773703506242294,0.9364727241779315,0.7079050802514122,1.3552935262093129,0.617481163249441,0.6316263858654777,0.5598884600537829,0.5654720820086696,0.6203124834583693,0.6244273855689899,0.846951731544865,0.6110376900871353,0.5984872065108112,0.5314124098389216,0.5243062023991085,0.6008623639216212,0.5177289312422931,0.6887060004348489,0.6307386496331562,0.8131105459736175,0.6942990629378645,0.641194113807151,0.5861425107857068,0.6673617326653192,0.6189790201043063,0.5855090669796474,0.5721605132018296,0.8389607092900179,0.6272299976221474,0.7039741564478551,0.5448615652956661,0.6363813571108344,0.7163411092380784,0.5939972256683143,0.8550221816612732,0.4969270474738707,0.5399886372786712,0.675400282237257,0.45056890682590484,0.36500184572072425,0.34979784334190683,0.38738724469977104,0.3801915178933714,0.4432028992492918,0.4878361848167992,0.5107428359957632,0.644081761842745,0.5403547707523281,0.5154815216551402,0.4782181103532415,0.4610002990665852,0.3938358608234152,0.38484508447055715,0.38530006038833153,0.42419250115679935,0.43516575947846,0.42336188255804974,0.4598036199669662,0.549741277682556,0.6048314217816564,0.5348456861394014,0.538049272397045,0.45138865249871213,0.4536913255734572,0.8484566987440162,0.5483007270027859,0.6290829167247513,0.43936010512688584,0.7742153837086619,0.7608420627250684,0.5845937329462203,0.4967710914469556,0.4416691011605485,0.41888508065445157,0.3975842943883888,0.40983176517333153,0.40563383622577837,0.43548848202338925,0.5496106047607312,0.5855344167567527,0.9699316996918551,1.6373522892117771,1.0013322613354443,0.7340238304652688,0.5805032784161684,0.5765745613727179,0.475198197485916,0.5197645253911604,0.43117650088716564,0.439580946394779,0.3574210361067702,0.39753626227901845,0.4843944246312271,0.5525159651775033,0.7653767005288674,1.148585655668947,1.5268295463857064,1.3641870395122633,1.2896824275215693,0.6929865644606246,0.6500259912516713,0.4727488029123022,0.4294322804675599,0.555410415275546,0.5072201669478705,0.7608476211761753,0.5086186763724712,0.6769702121079825,0.48029373109862467,0.5383037466633631,0.5743188032214901,0.6396605849097952,0.6748651794842911,0.6160676663351828,0.47899326865965397,0.7305248940163054,2.104226598465174,1.1968778894756087,1.5457729670534386,1.5470674795373236,1.1783668769615803,1.0351747122096486,0.7324193446990345,0.8588901016609147,0.9888107868782687,0.693893225716965,0.7992278549455032,0.6315863967987448,0.5835313532260047,0.515864212658002,0.47490969638188396,0.7110145303221479,0.562940360420105,0.5301996770801898,0.9457959560422154,0.7782907754065547,0.7795646947687702,0.61856391314392,0.7952863831811442,0.7858779739692353,0.8781975004615262,0.8217209128017826,1.061499441847955,1.3214889809896033,1.158628206425191,1.7033488919517823,1.2464846312721278,1.0332456183768401,1.1113770525444229,1.6164882517865895,1.1699044684267856,1.4252788753350607,0.7965839323594424,0.8631372596642112,0.8919274266733039,0.8004997311980587,0.9065902145362453,0.8062985821123999,0.7755193491680848,1.0379331731661834,1.3919095887238528,1.093832272149803,1.1440475107351498,1.487010424129377,1.3751087399732382,1.282213882150243,1.013789142135282,0.5836776894598151,0.6056055980973745,0.6707093359744957,1.0458648006611433,1.290227125253463,1.4380501911584993,1.2123474063202178,1.0254893552300217,1.3863724465231364,1.1574598324240328,0.9698614435141911,1.4647575161724558,1.6376227504913645,1.1791798453135016,1.3005367399977643,1.7342839190307837,1.6714227633118797,1.21800132578725,1.3694266063325289,1.0073113360750472,1.007274882583193,0.9569010423415254,0.8464256078158054,0.8394767037030256,0.7117459727666156,0.6998293176750328,0.8791638475037282,0.991088802761608,0.9679983313947892,1.087304995878586,1.6021000116310016,1.4677960271347976,1.3532151369568626,1.5709098504496168,1.8361357476211022,1.940721472595026,1.967505679851331,2.2845458773674965,2.45029586824192,2.235117967214048,2.0247262660116645,1.590472295932108,1.3916942799665168,2.0269022760144813,1.997680681912417,2.187176537364744,2.1993229680173028,1.4389377261471743,1.1612239862051752,0.6933968356641521,0.45601947446653235,0.4642798479878212,1.20224055810272,1.0106580893630484,2.1854723959242683,1.6273935910561663,0.8394753315965355,1.4267176367543568,1.3984934872915444,0.6913116658442335,0.6664491963639914,0.8964585890143938,2.095959336880566,3.461693328359844,3.9557925857600678],[0.39525067489828974,0.3729804980540654,0.34718076852126406,0.38599579127128264,0.4513033117979585,0.38438181729227794,0.310880805657768,0.5213529224107828,0.35329973601740616,0.32404143678008246,0.38340431429441824,0.5087242334563229,0.3929954415214865,0.3486320971305388,0.5322462236320168,0.4626098293800467,0.44560040705924125,0.4786371198332054,0.49680682304776336,0.47849652515562363,0.5119937178302009,0.49963378919178975,0.6467304420948154,0.827961403864161,0.6639299695928446,0.5550703209736807,0.4564979238652295,0.4230529278765495,0.45962024552490266,0.5211514522741809,0.549546573656151,0.5778522315100582,0.6470381837130648,0.6272889179397396,0.578328947977717,0.5115020571486558,0.5687968146043504,0.46845583655488754,0.4051997504945489,0.436743551925065,0.6718323912876939,0.5480392431337113,0.5243749824727971,0.6041950092216338,0.7471764214637505,1.208141816773532,1.0590695607034366,0.950039275645257,2.052691157938436,2.256355726599162,0.9826242832585024,1.692554017698325,0.7444421626889477,0.625611248959355,1.0127710167641266,0.61516094624654,0.601741578294145,0.6086020925457614,0.6980309404054692,0.8536742101104435,0.6140307309438442,0.7991951085894481,0.8802305412924476,0.8294797951893342,0.5971839865357407,0.6459028208560352,0.7408072047039957,0.5821293855476486,0.713527828997072,0.6734771615590821,0.8551014997288915,1.1025287069580136,0.8748980208851336,0.906685050794823,0.6950858817308954,1.231076930346245,0.6211871431884399,0.6281651494413892,0.5778227762267069,0.5938565373905195,0.6646899000460322,0.6318073167496069,0.8583966232242984,0.6426423862601999,0.6264928290939527,0.5685267920630768,0.5262561317567334,0.6479804566184484,0.5242240799464216,0.698427733884799,0.6249466785657554,0.7938397242890786,0.6905979305281998,0.64639109598173,0.596286558376158,0.6836734063384331,0.636067081926409,0.6253640331436985,0.6259722870547659,0.8597922919426425,0.6765708787843216,0.7524581534577136,0.6261489980473107,0.6877096679474252,0.7454203459403026,0.6004891615217792,0.8832420881587639,0.5794662512457899,0.6078546968609375,0.6999903989877861,0.5015053864975856,0.40743480551705635,0.3872756027150241,0.3953922680503198,0.359633883356386,0.37958584616757574,0.4350271497785215,0.3971624112428875,0.5294703041191752,0.5138170066295699,0.4680949582564883,0.4280921209590816,0.3601151278423858,0.3412571226667418,0.35129321401423946,0.3526939282206829,0.4481229274621336,0.48613153790534297,0.45348449061548607,0.5328686720861321,0.4856173348024255,0.5474181161274136,0.48550393690024735,0.6172256259892721,0.47246861735717566,0.5724977685106984,1.0267814269106026,0.5099156301898214,0.510742920608497,0.4633831316893632,0.6744285992962579,0.6028904628720462,0.45662068465248357,0.38693980068005934,0.37111402396260346,0.42035495980027543,0.3765028777304761,0.4331251320696618,0.4515868843843479,0.4768720301732797,0.6066364898226853,0.6248903187006806,0.9932803511075413,1.574734646903224,0.970352979488114,0.7637709627011027,0.6324364437854625,0.6275451234737388,0.5266296761367337,0.6004537385122113,0.4513806566342928,0.4556002816701677,0.3939694124599365,0.44077906113161963,0.655264452154479,0.6207481949902318,1.0120287842354139,1.3390653372572434,1.7610519684599788,1.5766369453161,1.5248234011948758,0.8767496193321143,0.8589132138566209,0.4864585231004422,0.48656424604734433,0.5872560802739151,0.5722573914104837,0.8300672019615151,0.5852380610479393,0.6937728927730427,0.5808469062829917,0.5220371726825305,0.5152305945612127,0.5686211488194196,0.5691130166646194,0.5810740109961832,0.4739258822408892,0.7591721112301708,2.1319376803109877,1.213613339999983,1.4238478530865952,1.4669793881338495,1.0862309699734545,0.9700464887689383,0.6246335326362216,0.6882219168209467,0.9081697946651713,0.5809997749902239,0.6695288101891097,0.5475563976123615,0.5449586696747575,0.602269278742907,0.49218114928715895,0.6316239476360523,0.6107039750208244,0.6100947318202047,0.9187242301863731,0.7396868346033989,0.8608970481761198,0.6401433633909542,0.7947121546351874,0.7932581008079191,0.8755588132580606,0.8762370882014775,1.078172419450643,1.3048446224184613,1.1193556102259978,1.5826248683506026,1.149247726113026,0.951680905927047,0.9862874610383077,1.5535330851650826,1.126961449541966,1.5921591873210978,0.8680041623527583,0.9860094497380181,1.0125646866553943,0.8980608521298596,0.863608963558383,0.7218669965060741,0.7080213736752886,0.8656633706112417,1.2069689284853358,0.9152159703357567,1.0197647402730285,1.2370339700114292,1.1323059061806136,1.0865512405447861,0.8462422784291947,0.5533320920447654,0.6559142137638412,0.7881684380060704,1.2043210541202503,1.4559706176498342,1.5800157096581455,1.3536337263771827,1.1824454276615821,1.5227125256675125,1.2768322270192989,1.1092345016082605,1.5929044673723485,1.7474277403609664,1.281412313227426,1.4097728514580579,1.8211645911039602,1.7206615472329474,1.2788409756652919,1.4431792172417306,1.06619568020203,1.1194007467485185,1.093683817483907,0.9756822093326009,0.8827379687692221,0.7320351124945014,0.7144994307635598,0.797330243682807,0.8849219170648985,0.842002608636174,0.9166092318657476,1.3731086488292508,1.2720681188624217,1.1375952755759997,1.3211017501617908,1.5824950178932926,1.7018725738299207,1.768724715856324,2.044060261988199,2.204822959240725,2.076551198253382,1.914795392790915,1.502845376105286,1.3815198607398915,1.9869312897121478,1.9024751466195198,2.022415115459396,2.0126556072754633,1.2913611574125996,1.0655919018513444,0.5990670598938562,0.46652205453618895,0.5200021024991922,1.0450055430011544,0.8776575042753547,2.049678390024524,1.5219494625393186,0.8258045571641542,1.3434189522057518,1.2310556190421542,0.5282274794210847,0.689205741059913,0.9121221552530294,1.9135271871813884,3.304997830844439,3.872355315343163],[0.47310830832534245,0.4378999121993151,0.41113007652272127,0.40320931759213324,0.485254661557631,0.44973971526620987,0.3959500680653357,0.6435316490973554,0.45226786315257134,0.4079444704835385,0.45786659921103984,0.6061351124518618,0.4936603627278916,0.42546702509203466,0.6448936314121873,0.5820705249049808,0.5321317184999053,0.5843841220915246,0.5800929470172052,0.5795394563065556,0.6149931618888775,0.6036573005708613,0.7276357005311427,0.9191260265343038,0.7222217817407102,0.640762294382633,0.5392004283263588,0.5057947060489081,0.5611585758551414,0.6520919175555916,0.6729626967533839,0.7108064600598278,0.7802353312372902,0.7596408038342308,0.7124309887084519,0.6447254084349283,0.7008888655477935,0.5869350309799092,0.5018973211509021,0.5490753670989452,0.8010753812897461,0.6361753903423774,0.5957159106764297,0.690287308904078,0.7786752078451838,1.2092450060507902,1.0318688212631415,1.0290563809066717,2.1555012122175703,2.23494344475157,1.0157324600867526,1.7340870824169565,0.7752012101686784,0.6635290495835183,1.0529441113754627,0.682391757584921,0.7049292044848914,0.7054625183741717,0.7950407851086277,0.9121007663488041,0.709455969227588,0.8869688605266601,0.9789172686647932,0.9358758944673224,0.6936614134435269,0.7526813339764442,0.8375125356942901,0.7007453239387166,0.7992409005806695,0.7649994870758106,0.9189909037158386,1.1960193593779394,0.9608753439222155,1.0014286082027901,0.787758364923191,1.318423999301705,0.7459688305880453,0.7599972145380113,0.7210479481857297,0.7407080934643245,0.797551616054471,0.747199684464903,0.9562846574331014,0.7655804890666491,0.7510436110338697,0.6869337390289972,0.6352928520384695,0.7994195819907791,0.6669764877060459,0.8113868294385739,0.7612621066273797,0.9094961747062479,0.8062277959513737,0.7630564768935441,0.7095686405354673,0.778674078669943,0.7537705287972746,0.7300425397757239,0.7399939645209719,0.9637637632673093,0.8158866042186259,0.8894220022493379,0.7629337103964345,0.8057493763849075,0.88656679865092,0.6997306563547203,0.9607675169968101,0.6890409235243131,0.7048588772963419,0.8274226262484299,0.601000495338492,0.5187268188530153,0.49844234841553736,0.472144844700171,0.42851181926657367,0.43323536158953924,0.44430253398052366,0.4259717549306892,0.5611862243773552,0.5713703986072896,0.5045055392525625,0.45478652550528464,0.4034656755331135,0.4018876178580547,0.4154141603465918,0.4184434443639527,0.48980022485271973,0.545222263817342,0.5073357792536906,0.6422987970447138,0.5107589103129647,0.5767091385414032,0.5240874453882559,0.7410089189779477,0.5620060676745299,0.6643360206637359,1.0888745271143148,0.551791059676255,0.5330890926986501,0.5345349831296498,0.6639189128019531,0.5551664924404326,0.4766140158038788,0.40610893942210696,0.4298268265275192,0.5056694514050508,0.4511781448596241,0.5358367720365989,0.5744953844366042,0.6052176363073093,0.7419741479376938,0.7564418304884388,1.1263144430217265,1.735467426852617,1.045684080924473,0.8907190114944422,0.7749495745705755,0.7666178062650274,0.6727043630393765,0.7381236218625489,0.5654927136646868,0.578263205224397,0.4925849608460786,0.5479113281742742,0.7233843526686092,0.6751875507908278,1.038570752028715,1.3026201578801382,1.7286125755717179,1.5967258691013206,1.5631500914159104,0.9596492425840829,0.9605504911745238,0.5720951118197788,0.6037125033712601,0.7334021251297179,0.7140619690176052,0.957595621984255,0.7457588009932814,0.7909240079328816,0.6889173513783483,0.6046498152507311,0.5640081109320986,0.575533095765621,0.5471787268845217,0.6115102407979972,0.5674491250296786,0.7889204524877618,2.1925678626537755,1.245814515681623,1.3795463080974917,1.5239122361883364,1.068004777154788,0.9419996093551167,0.6054489515094164,0.6451481732509552,0.926791552723605,0.5444663540907604,0.612678001451821,0.5640894508418567,0.5854002085470709,0.7105782896497043,0.5619205116415602,0.618763681260093,0.6839687257736138,0.6762630778815529,0.9094710080036782,0.7473726388799383,0.9015509947616899,0.6734392257487293,0.8512131465474266,0.8237085770129273,0.837901347751993,0.981087933270909,1.1725230514915834,1.3545382774734627,1.1293306743864258,1.5596855108470824,1.1348559718060962,0.9589419074548516,0.9712911242745225,1.6475374551252042,1.1685689863059485,1.7454593654062107,0.9720644001544732,1.1464260583950516,1.1738755290873877,1.0685664965920534,0.9055505186158379,0.7194944104864619,0.7498693148509358,0.8050725867240545,1.0911745256925565,0.8225802163090329,1.0007223160376253,1.0689900327139508,1.004769684201938,0.9751803154526955,0.7582117748872554,0.6170054936865648,0.7964176303258245,0.941256696844471,1.4192532876232542,1.6670970577795847,1.8149901659205194,1.5148298607741724,1.3537643851757775,1.7155402325055167,1.4291019544740224,1.232885311163422,1.7024768969824986,1.8257354383643816,1.3225207473690184,1.4632897471724036,1.8506279877634122,1.655680872364238,1.264504314931827,1.4566424539430445,1.1007839798865553,1.2094473283023737,1.2048377053311117,1.107178030862413,0.9459225269918368,0.7793089741659939,0.7818226841073602,0.7974338055814514,0.861276391940563,0.7952150679300445,0.8424657078535822,1.250032940988782,1.186230530282586,1.0282792681062911,1.184408285682548,1.4813966171997968,1.6078622049112536,1.681477402454985,1.9281801492949981,2.1085239153764546,2.005820854963628,1.8719178057021584,1.4718729552758087,1.3851054162990994,1.9620086372635892,1.8510649701936102,1.9448391781193028,1.9360072704710378,1.2146600558343206,1.0209792092436047,0.5706196367272117,0.5157471013377866,0.573847487162035,1.0552625172112258,0.9683467824085467,2.122041697452026,1.4155631063989602,0.9277125001445765,1.4207764907631657,1.1529968053328001,0.556159079068514,0.8282179468980393,0.9743245789453291,1.9974168966100931,3.541287926427176,4.219898835584073],[0.5260950446689505,0.475643630195596,0.4479248793137409,0.41247468583607916,0.4997398792348843,0.44687245756593535,0.368481705474923,0.6400918307629038,0.4079523744906812,0.34344082062289666,0.40642088191523323,0.5736577192970923,0.43999157723440313,0.3703481659016848,0.5909119352177132,0.533213960854038,0.46892443225507746,0.5284821604425046,0.5381737437212574,0.5166468807590272,0.5699231430884892,0.5513329849085176,0.6964158655828574,0.8856858654094545,0.6797893101467073,0.6036005920061163,0.49522995817995275,0.4532614420570315,0.5013065777500759,0.6036714557819945,0.6306752536001592,0.6821910059033978,0.7723246671624903,0.7439155040668847,0.6860583222221601,0.5964231569284875,0.664970445983066,0.5271832607518575,0.4436894435792216,0.49900702853139267,0.7335727398743415,0.5777152140682957,0.5545149227842134,0.6315648564708951,0.7884107768196416,1.1784625696274373,1.0253415024829855,0.9768822854974437,2.0713081909486197,2.157337217777447,0.9784914394234417,1.694549415176357,0.7514456450784506,0.6307138205827955,1.0346566241197745,0.6457814989368071,0.6561776319409278,0.6708704984366937,0.7778786866712374,0.8825263786431404,0.6768343585600043,0.8823269174912391,0.9731804783810376,0.9691214628516316,0.6586096498327509,0.7190801950460066,0.8000598908135211,0.6461216656768262,0.7639679814692949,0.7241934044356774,0.8717863563547525,1.189011620550167,0.9287039237245182,0.9746855843851578,0.7696578440698267,1.3516970523556326,0.7106282891743513,0.7434258232034952,0.6869486444074516,0.6971170279067587,0.7648756091877538,0.7176703023758086,0.9377138657309912,0.7529529125814776,0.7124235896036621,0.6457379312483732,0.5875189239449147,0.7721792580927924,0.6205145725802399,0.7967171907092538,0.7259786879631127,0.8997456186042732,0.7891896560716234,0.7545706559825444,0.6827675412506168,0.764125717059083,0.7105296905738814,0.7159790549929987,0.7255998657003929,0.9895026767525466,0.8203928525560088,0.936771589356741,0.7760064127826539,0.8435117671324258,0.9114980036481184,0.7237287351593241,1.0071553428200875,0.7614616043661945,0.7756558042029003,0.8611492680894812,0.650356954598164,0.5199296230555738,0.47239290553802377,0.4258177264385048,0.36929382006361644,0.3845243917377388,0.432526679609536,0.4372765273775424,0.584409725993256,0.5463065921807612,0.5087672707260612,0.44855636503558793,0.4041221027597653,0.353961108535254,0.35638881013163154,0.36837797290417673,0.48982144361120417,0.5434806265974746,0.5339023048884467,0.6640088790896971,0.5423590432376884,0.6221706001425155,0.5516663833771529,0.753915412948739,0.5588493590193377,0.6469826534829282,1.068305977087311,0.5245688836461239,0.5218407872482064,0.48425810737211783,0.689246117034983,0.6012669712354629,0.48150589938706373,0.38646067914789317,0.37633146961707487,0.4445094937774702,0.38744569643057813,0.4817291520120528,0.5369860999630207,0.5755865618569248,0.7609803965138091,0.7747235293365045,1.1881208527551026,1.7743998785478334,1.0771710326010269,0.9325859395861044,0.7754761058832496,0.7903264591312688,0.6538892469682281,0.7364958534580507,0.5268377360493848,0.5247653727344487,0.4199337907806005,0.4831050761829653,0.6529745579374002,0.6238040596298734,0.9964855834801372,1.27966140115584,1.7187301632470207,1.5659724964998984,1.5364341551472416,0.9086494364228658,0.9144077982845372,0.5385200396804891,0.5707002115041825,0.7297934470090294,0.6941555496432229,0.9672849267396427,0.7276657619720407,0.790511474761073,0.6691721625595585,0.6074309150683359,0.5738956262938347,0.5905511317746333,0.5513029905767389,0.5888606035482491,0.518867390295981,0.7637468722162993,2.154785281724994,1.2061740055629626,1.4069113063642014,1.5264921741266793,1.0868217575497772,0.9683639025325507,0.641074305539492,0.6936434185225758,0.9453946207066123,0.6057784327324525,0.6757005647100285,0.6286317112324908,0.6911161130629135,0.8367073386236157,0.6533940238990926,0.694995167321669,0.8097472100544489,0.8008455718157675,0.9518655412357375,0.8248119547371434,1.064862886583071,0.7685808255398788,0.8918920278458686,0.9355264618851944,0.979073158799678,0.9969509531743571,1.180736513840051,1.3613412704168963,1.1906308881694674,1.5914579436092362,1.1809860159768542,1.0394571262433097,1.0687156779437799,1.6180938856712352,1.2903476643236966,1.8807275456172898,1.1254510478405793,1.28418371729932,1.2951365454812995,1.184818842331649,1.0351817828253673,0.8432347425496787,0.8594736339083013,0.9137149120416341,1.1891672259657555,0.9137428061705806,1.0444551981190489,1.1758011818242442,1.0725542410431257,1.0367080144966294,0.8287311668866894,0.7108970296891554,0.8872113397424807,1.0623997369290044,1.5337561570140623,1.8407998837402746,1.936607355918079,1.6386467607636537,1.5238916766109514,1.8790832328470894,1.5544582387557533,1.3899259810884395,1.895281984714803,2.0127049875981737,1.4933739219312303,1.6788553165884132,2.084572657464319,1.8760795265283285,1.4753162634565122,1.6962838126360533,1.2928313987519096,1.4201261435241805,1.3930967501704987,1.2912068375090582,1.1332193571086735,0.9245258165618974,0.9262040028259795,0.9225372120346899,0.9499881143097932,0.8801288602008251,0.9580482352546583,1.3264897539771578,1.2365118740949825,1.0847116674044788,1.2755969077299374,1.553915298145055,1.6680903013460688,1.7444113710532614,2.0493867161569397,2.2094115996173276,2.0923926986565324,1.9135066895706647,1.4959315393055135,1.4015966016385473,1.9869064007572244,1.8887370515190995,2.0034021078948077,1.9734742892180248,1.254823163065108,1.040573053193042,0.6227348622461641,0.5405648062234828,0.6398599901300167,1.0283453581733963,0.945173542552997,2.0729113969438733,1.4233542177149778,0.9367718009191484,1.3592970172450847,1.1502046290391275,0.5738723965739085,0.9158026331785167,1.1348393544595567,1.670091292776728,3.1895958489643865,4.021999190112428],[0.7292721198743988,0.7023588553473059,0.7046524053762365,0.6276237679993657,0.7271225819250567,0.6655332224239371,0.6202205769353909,0.8463900082843492,0.6074925460917537,0.5275781796554622,0.5378153303403146,0.6886863255542487,0.5956678531275321,0.4862423131930657,0.6536661141992738,0.6303224672738562,0.5933443985500327,0.6006742651204,0.5827070980557044,0.6129367278314958,0.6254850034073273,0.623150626936108,0.7308145011479059,0.9121474035311752,0.7249438750665903,0.6377680988958867,0.585977364020693,0.55528352537009,0.622663607461351,0.7186330004967392,0.696222702675438,0.7848724535317595,0.8150415572398805,0.7869652854505113,0.7694332645024884,0.6922048033052668,0.788660733368999,0.6658426101942951,0.609633329524361,0.6638102517522725,0.863340200025807,0.6879266663258026,0.6409569059579966,0.756648709141784,0.7643472768808965,1.232123297391086,1.0595624880116026,1.048429402225336,2.2159834237454676,2.3993114070722528,1.1022686045785122,1.8323592385599554,0.8546600466378242,0.7510526362110884,1.1499305068094496,0.7847038266659204,0.7610246198576057,0.7664167622198887,0.8487310409777129,0.937927269255901,0.717419713219253,0.8648149277534137,0.9721059363646309,0.9125843685373556,0.7082430546466258,0.7529266892384829,0.8292597572101392,0.7108133767821903,0.779974339541739,0.7503236108998319,0.8948771266299481,1.1656275010561505,0.9421174641330443,0.9923355389585637,0.7742369881019135,1.3061838363208624,0.7524611259340462,0.7673557550860227,0.7498118198557617,0.7856701004285453,0.870272235055356,0.8206826635736517,1.0319461687795326,0.8855499278679768,0.8807080659819785,0.8049709568860548,0.7137243048192313,0.8720564618829475,0.7062218817387488,0.8385056675071525,0.7721930301525294,0.895358722256071,0.799539662870233,0.766924079822968,0.7211109956262486,0.7728544159974345,0.7452352152138395,0.7765131881420656,0.8128347035979935,1.0571650223271665,0.93528520304953,1.0549198504652877,0.9433635055690903,1.0073462491140153,1.0593410288081846,0.9143820053596208,1.168822154601167,0.9934062483719762,1.0008226684634445,1.0135233724016879,0.8835220654118218,0.7775425358384871,0.7156729307703825,0.6666584146849334,0.5654961141364832,0.5361661720318144,0.5026609177206063,0.48386207195193265,0.5749571112180041,0.5889671544145196,0.538384927268307,0.5012668028976793,0.4645480310873714,0.5188936810700986,0.571003168614167,0.6149250771863369,0.7203613431560589,0.8056838013176307,0.8150833922946413,0.9164441054617464,0.7963831241181736,0.8580903591151983,0.8234914710196296,0.978692043062334,0.8319257323227577,0.931963559686576,1.3208203554066387,0.7905394993675102,0.6814423300296374,0.6936653155307944,0.7228889404568309,0.6421823711597582,0.5342111280760838,0.5163858068104387,0.5509058177737876,0.6290828373065845,0.5871625353040589,0.6807813947597756,0.7571771706814302,0.780212845019394,0.9454293509065114,0.9224205377560938,1.2565711101693222,1.7288670514923274,1.1149007160480633,1.023170633994425,0.9055705131954961,0.9499594659724249,0.8259968819772721,0.9528672988676801,0.764533979274304,0.7268335633401488,0.6675901557956875,0.7218943257628445,0.95501332316065,0.8677117893160256,1.3048033483524075,1.5479389227165208,1.996548174558785,1.78828323366267,1.79733479340256,1.1599528352172646,1.1884677678358322,0.7875931733105531,0.8082509411451377,0.9045339834409644,0.8657343852372051,1.0934797672198266,0.9134962535580148,0.9418361833147224,0.9147421722249928,0.8343091824968056,0.81215579498282,0.8415582083102564,0.7791100766279532,0.8097153895045671,0.7187294155755198,0.9940408091514852,2.2720797359314675,1.310610071568286,1.4991335334329574,1.5819416267793682,1.2005979464690382,1.1293793729156307,0.8685809495879873,0.8814456656023513,1.1051193729078759,0.8339690024798759,0.869565524668155,0.8532468297463882,0.9179985145658306,1.0557289711708981,0.8891448033164624,0.8899801773014897,1.0169230871390729,1.0156183885369525,1.0724916143704035,0.9895659646117121,1.2407116483211045,0.9504562581307384,1.0219156632212654,1.0792004251152072,1.1292562315399308,1.1028432348564128,1.2608454525042503,1.4353438262047822,1.2816438123889788,1.6479885339095142,1.2767822303909842,1.1577142216017617,1.1975990062672874,1.659681612405827,1.4202220126560028,1.9785497285138935,1.276791050949105,1.4096125615092572,1.4210786219482165,1.321992562787726,1.1985090448622118,1.0313608258339082,1.0461164486980261,1.0815989192203777,1.3173626866276797,1.074344268989313,1.1651021680330138,1.2925584471104423,1.1670162622809235,1.1560439855401,0.9876460271281724,0.9458826300810406,1.0843540254627773,1.237539986797833,1.6600085556747357,1.9503954154982344,2.019866284845179,1.7861419525791167,1.66005775272409,1.9801686545603845,1.6670597610575397,1.5385287789999753,2.0127504079365925,2.128008149634598,1.6413132396734664,1.81131695765526,2.2005170324483276,2.020296652420869,1.6135227239374654,1.8246186684094123,1.430657705165701,1.5580908549003607,1.5452057368909717,1.4378081844209485,1.282101082908831,1.0995725547628223,1.1116434642997333,1.0863706423305137,1.0913184963667857,1.0397692807353742,1.1159037575350066,1.4112323221971295,1.3107752128778196,1.177050235548889,1.3721633596279825,1.61283927401048,1.700211112492222,1.780663522977891,2.090635438757603,2.217298377940712,2.1339666969332654,1.9371791216136913,1.5384010247806934,1.4607426072057297,1.9976355294530908,1.8916247061466898,1.9887362655102174,1.9373918392099985,1.311236995391224,1.090046610149541,0.8249309306396831,0.7867868248942205,0.862830135296858,1.0504247117339143,0.9893502776566028,1.9870369309619709,1.4691531427311793,1.0211951806518742,1.3318342330002224,1.1837125813488933,0.7322343104322392,1.0337187273497401,1.3176045338856974,1.5160787600072616,2.966679895038399,3.913863489577591],[1.2440041795273438,1.2281750571588306,1.2776327666284315,1.1405634222142742,1.1747801390865396,1.0925999820158376,1.0249242749293763,1.2413271979749656,0.9294140586746104,0.837261228146122,0.7993856439615207,0.9364009538552719,0.8997817481326444,0.7541076880121542,0.8803394924171369,0.8930736003986457,0.8744498873846775,0.8719132237235604,0.8195056430431424,0.9004277016585392,0.9045183270506709,0.9140174133838554,0.9495096737266363,1.105289445564461,0.9808637774225173,0.9039875259729266,0.8992973404610185,0.8817547007515294,0.9330021281273846,1.0191297696707171,0.9216126400969812,1.0547174619420565,1.0254248949361147,1.0019552549316975,1.024229648468131,0.9682574105118164,1.0982104682368188,0.9908217766111157,0.9770101953138406,1.0412872230295236,1.202951636028099,0.9995503165990272,0.9604853928690936,1.0786449004457612,1.0270127911092788,1.489425347676709,1.3444279453396615,1.385013182281852,2.5225480931026953,2.709825288550243,1.3860674069328327,2.1227817882843802,1.1729555534665708,1.0669884535766188,1.4309867418057867,1.1125235595272807,1.0803346539747603,1.0745486897163923,1.1355468134466353,1.165390438329672,1.0076146297314588,1.1152144023288217,1.1991817288089313,1.0843276930449415,0.9377675435128696,1.0140560205850808,1.0151224879189122,0.933663042979786,0.970520803556369,0.9155268794142839,1.06336541575366,1.2733045944097887,1.0460356311354306,1.0936388263597174,0.9462207612766481,1.3708907967424275,0.9660781384698364,0.9704767493508187,0.998790089325651,1.0764372878071833,1.1764055405402025,1.1673511997117836,1.3221661969534322,1.251897848385011,1.2460723464208223,1.1745990293466186,1.048692764159098,1.1782036962804705,0.99033444248044,1.0483780783726515,0.9748097251714892,1.019611135014149,0.955012229852041,0.9443823949879273,0.9198241255615071,0.9329496069839244,0.9438331209955038,0.9877596404740377,1.0505018004374889,1.263134580448533,1.2159561615570798,1.3662267985623753,1.28375884972139,1.3770541363858335,1.4533782942965954,1.3441707983037112,1.5521238195624572,1.4731878764375743,1.4842135882721907,1.4329418888009122,1.342186070490897,1.2228958214508467,1.1366386976455067,1.0675060114115846,0.928271740080638,0.9208930951740251,0.8166023607470679,0.8329996408465616,0.8181533661344756,0.8652678477399345,0.7945693750675398,0.7943458787334409,0.8083024704119721,0.8801007984551799,0.9456822413789366,1.0373520818342876,1.1374939476018782,1.2270787323526433,1.2866826554967563,1.3709435881455128,1.282486672791616,1.31058472243525,1.2934274790851374,1.4177608471163277,1.3103213228026809,1.371587514784042,1.691315177528841,1.218246403769816,1.055325425785956,1.0647477016945315,1.017403669261962,0.9539629077265093,0.8727554187627554,0.8945461035714601,0.9401667304755613,0.9694325165536553,0.9651591719083475,1.0500766183632664,1.153414375704981,1.1535456918934959,1.3440082789969454,1.2658329549197624,1.502840739425846,1.7840894310391986,1.308392438251633,1.2920006592638604,1.2029687393772692,1.3068554838325412,1.1609930331611176,1.3424216654350485,1.1884361441947484,1.1236933705056336,1.0865920537046003,1.1313637109845087,1.3882117908024985,1.2707889756061033,1.697085098043885,1.8755994753580334,2.304101951671797,2.05572357296818,2.1074850834033896,1.5275382076838917,1.5935381313116954,1.2338753974923249,1.2321032022449294,1.2935459168780925,1.2144687801177403,1.420091445835993,1.297420368315104,1.3283442938349304,1.3345483660406945,1.2867865006547248,1.2890961214301926,1.3076338864301742,1.2353902289710184,1.2415512630700434,1.138375879300972,1.3791952595781367,2.4655214931203755,1.6383129023696867,1.6236823013895185,1.7615149567327266,1.4670298421684445,1.4408501451066227,1.3145843616732125,1.3516480611572823,1.540269287964092,1.322328070375876,1.3307441665248603,1.3236105193163132,1.4161983732854357,1.5393385748087325,1.3795709639604004,1.362466909710245,1.5093116332364538,1.4852605513022226,1.4471251946731123,1.4405595399112079,1.666895876515595,1.4018954381081425,1.4550229175369576,1.505468943938914,1.510182425939243,1.5147755570608537,1.6396787692274724,1.7680556835065793,1.651516221833123,1.9111629294417403,1.630754424568621,1.5800892088124605,1.627656698980014,1.944133909059034,1.8966273472761896,2.417610015031811,1.748760008950379,1.8773099741888575,1.887793357844384,1.8155082792665904,1.6806967286356171,1.4951234108681746,1.5170925621845346,1.5055770897433391,1.6208368085962022,1.4610139841217986,1.534709537396456,1.5764410781874842,1.4816957214628101,1.4953936172698057,1.3868902130346945,1.4539778965818255,1.5582430353735424,1.6980602749324942,2.09180992218044,2.4197752710906477,2.4180316327715934,2.197968858391184,2.1014824552934073,2.3498432467576587,2.032061506538904,1.9526514291049892,2.3580240230387437,2.4351678350725825,2.0072465506508332,2.172719132853076,2.5045755775194998,2.307194610605322,1.963997781452776,2.1752281322265272,1.8415282502386394,1.9732570973122232,1.9727839695190854,1.8940110570212694,1.7342777781486622,1.5661829212770186,1.593625606502205,1.536212158333771,1.508852880034912,1.4791390953403865,1.5358150047794799,1.6582668656906026,1.5938147026345748,1.497524441246897,1.6183354413249424,1.8466594841098845,1.8798256777470954,1.9505150347214877,2.2253001601829285,2.3199735737105045,2.257837193450767,2.1067388059211978,1.7766493764235676,1.7494960057219922,2.1573969448362784,2.046187340357405,2.1012207690424654,2.0191847358505988,1.5672326475636922,1.360021355895457,1.280520903288793,1.2513070822566752,1.2889348751968872,1.377107574098529,1.4159500570640933,2.14550852428417,1.6763228849908178,1.431408136986383,1.5563663329410709,1.4795342573531793,1.230251304462962,1.4970676052826406,1.8180309053972847,1.6054328897369106,2.78291270317898,3.8893424770109406],[1.7455323567578647,1.7486655641887834,1.8056534822588517,1.7673613602105358,1.7013406724741773,1.6088713675403636,1.539383042568454,1.6682912509824528,1.4042816839481846,1.3400208543909955,1.2704657848471543,1.3336593797934957,1.3663940264534762,1.2504659436497305,1.2806301523650065,1.3051843087134984,1.3495573898341824,1.3272826499693173,1.312599475538416,1.3830994502070655,1.3872505131939632,1.3957795381601055,1.4116917137786775,1.5649811234924882,1.4894283868703302,1.4144536740366442,1.4367842828111415,1.40083726437812,1.4188804580987615,1.432705908554108,1.277013104956004,1.4042231208728835,1.3282698506745687,1.3176315164059333,1.3718127918463667,1.371948068990186,1.4873818885831123,1.4521589624484905,1.4830162186149376,1.5192139394420485,1.672450826270776,1.4890383548613897,1.4361493861878099,1.6026343204904883,1.4828449046204937,1.9412579096889246,1.8523933904294094,1.8588047240037793,2.956637669128497,3.1972581310564157,1.8432250177661393,2.5743665375148823,1.5692144573891285,1.5132855857704202,1.739687649256746,1.5406214754397647,1.5571661488632442,1.4906656447497482,1.5161591238227046,1.5942353849250708,1.4561124820036422,1.4852495644950452,1.541441615059965,1.4043488459468385,1.3653703249287157,1.4414862589774293,1.3972848970916678,1.32435117013961,1.3551064125773449,1.281984677732318,1.4390600645668374,1.492214623113388,1.3003867837053595,1.365949805204811,1.27617333751842,1.6211502433091884,1.3250045220993645,1.2779363285069512,1.3534808184450888,1.4599172057840213,1.5419042011829902,1.5463743772095255,1.6141111616798742,1.6507498616297547,1.6813054100400637,1.5876637166420158,1.4844382924849338,1.5452523958449649,1.3940037009277286,1.363684861451657,1.3078607728890106,1.2885006831759953,1.2138604624774538,1.226610697653741,1.240991917771198,1.2006796303537743,1.234484819228107,1.2897903474657586,1.3613620148378454,1.5090246026551368,1.5185512797989982,1.645653908982632,1.6312440368690806,1.7122131065487416,1.7926844425330168,1.719729561634122,1.8549618780912198,1.868987381132502,1.898950869446509,1.8007468993976679,1.770996929824901,1.6919639400384234,1.61343884721354,1.586753261090802,1.471497547839752,1.4872578603202422,1.3438829039376863,1.4226642151517233,1.3576572575849635,1.360855672213533,1.324688123721744,1.3273294681775716,1.4070721631630265,1.4698931984506263,1.5067492901942763,1.597749151332607,1.6546209926788986,1.702358108369198,1.7637103363843607,1.7995534504171629,1.7526912999901891,1.7173011998786138,1.7519523120358638,1.8158007879039653,1.7931755760268981,1.8835607132223644,2.2493156154479292,1.7817847491797347,1.6257951736534535,1.6223641374128048,1.5711763477797724,1.5513973329851907,1.4555913601767778,1.4797251681789256,1.495359501818491,1.4798239503254145,1.5002374192115535,1.5463258425839497,1.6132191990022093,1.594558733678429,1.731244481362649,1.611358902613909,1.7936275770175047,1.9389787529019422,1.549912746090439,1.5845671856386863,1.5455801568440752,1.654944484758071,1.5517603856194093,1.7540457082935617,1.669737345374973,1.596832552604547,1.6259185253474622,1.6389081564851318,1.9635856980132536,1.8212390659774536,2.2478516765937013,2.4067193183279465,2.8014577718801275,2.5185375757801842,2.5904705243684174,2.019130901853923,2.097921843140036,1.7105444755038508,1.6825163523185882,1.678418543797738,1.6058176310925114,1.7173993765201492,1.6881225481930708,1.697981637098791,1.77956896480245,1.7134927428262978,1.7294907533507151,1.7588142439063927,1.7170271405327067,1.7085090221309438,1.647450032181679,1.897221889771418,2.8690443512038226,1.9670321332127008,2.05297795905429,2.1683282732734344,1.9045825054033652,1.8837670491682723,1.7787932829166113,1.8180259522031563,2.0377734217677244,1.7743194286022899,1.760670947708432,1.7211258749516067,1.7959375036000667,1.8844999762120882,1.772903538147822,1.7573256886301465,1.859311472725836,1.8588621373533594,1.8199610314018038,1.7878622971643054,1.9765396843075225,1.7775867001362151,1.7846419426825222,1.8028526614033027,1.8450764598721237,1.8192302110029506,1.8793473518876975,2.0173534000009465,1.8526997781972934,2.141289841536901,1.9008896003326134,1.8316053572313973,1.8778828222990211,2.0703867772604023,2.133376042412979,2.591069651000692,1.9875700898721023,2.0794109590231264,2.1041751414980023,2.0378174086005223,1.9286989154502865,1.7954231187328935,1.8037489018359965,1.7982616409170218,1.910221754570146,1.784575269234021,1.8209573647858424,1.9050851902339792,1.8332776481951925,1.8716986222869,1.767117529334031,1.8385525669047216,1.8944774922891965,1.9854931039108656,2.322093326427207,2.580898159743397,2.598832111447104,2.47321307986128,2.320067066465571,2.5251021300860765,2.2500312547785044,2.209539796108816,2.559467052823533,2.6410153313797466,2.280915275251635,2.39333878647314,2.7044037485876644,2.5742099202457536,2.207757473235361,2.370456747508791,2.0670142950451487,2.1842867352890787,2.2186014145105917,2.1165238205029917,1.953147919056903,1.8656839806741883,1.892035266582896,1.811558785514233,1.7925715873885535,1.8175055774950128,1.8348150546185173,1.9045971371052113,1.894419789813467,1.8323255991207814,1.8991684975984195,2.0923086615662805,2.133377506158973,2.2104700884045982,2.4637022037999934,2.5384694396301026,2.4723386003046315,2.340007454894866,2.055046373621711,2.043434046722664,2.3759681542470923,2.280574694962354,2.3296469919083456,2.2333352460914218,1.8987766159838135,1.725062698703513,1.7256031820442632,1.7619094915894618,1.7018117400579678,1.6312273814289406,1.6742630573908035,2.1698936143446454,1.83964632053029,1.650033076710671,1.679031671042853,1.7427877083037393,1.6499949780710677,1.8081830975921784,2.1828310744142434,1.9702294785803096,2.9938276956476617,4.0188440398601815],[1.849896112673489,1.8626913820100275,1.9243642556673672,1.7659525803763325,1.743217932013876,1.6093413864987114,1.5153737503122486,1.686130515749761,1.355341216948235,1.2534387310922614,1.1876686072248426,1.3094554159196887,1.3022037477783477,1.146914950757695,1.2129049993459708,1.2531263499468532,1.2460034593227505,1.234353615351157,1.1944701363229355,1.2984431897429627,1.2852181652689652,1.3009946570898023,1.3183044793474323,1.4837782528773245,1.4046936923159932,1.3188894155428936,1.366006711535684,1.3271078951199946,1.343730675684546,1.3944358632629918,1.233941579296961,1.3863302946853906,1.3505558202206451,1.3192703157161316,1.3634243048094365,1.3329669968348072,1.4756151018002894,1.4000545061786043,1.4340703991078319,1.4971825252059583,1.595688664906587,1.4212327018684792,1.4010089308499676,1.5265053570256941,1.4064645509878597,1.8205580129903582,1.7458092241391465,1.770004478728563,2.8582122521500173,3.12614646122658,1.8221017132153643,2.548493491335982,1.5931787729828757,1.5113014870710366,1.775950649684379,1.53610051382654,1.5320078874927014,1.4699779324519147,1.4844898671383444,1.5842167636807398,1.3969465389406912,1.4806969790077258,1.546819039484118,1.380066908893829,1.2861147076021304,1.3886780633460378,1.3163938234351813,1.2475102823439483,1.2447204958742315,1.2066828552951547,1.3007332184744482,1.412228153599439,1.2620225166511287,1.3147912598455371,1.2379889379095086,1.571384839264772,1.2792064721994598,1.2675745411741774,1.334277993708673,1.4311881324378593,1.5641853238825403,1.5722755929057899,1.6741448690987895,1.6769163011696122,1.6971813748755065,1.5979728673745859,1.4684488781012413,1.5423041530542445,1.3486064617094384,1.355921206446316,1.2762579615767518,1.254413587829244,1.1978156724854656,1.2366208334179742,1.226046276040602,1.213924890974922,1.2076050286405873,1.309694541715064,1.3779156541324236,1.6112601878910222,1.574590338643072,1.7447870324494512,1.6753890876757267,1.8119101709433865,1.928840011117679,1.8465911757530973,2.0458381288902485,2.0254926314158075,2.0435974977643863,1.941162110545813,1.879826398596819,1.7442488856524594,1.6223261378976492,1.5567341435884599,1.3905165950269887,1.3804925345990051,1.2779317353930735,1.2955568423771713,1.2164698940724328,1.2237255767874926,1.1821218812346255,1.2047529667680146,1.231131471323047,1.332103201236645,1.401159349097792,1.5496636793290666,1.68433865344522,1.7486536002465423,1.8542311180368718,1.911967719180904,1.8715242177068077,1.8981606813841005,1.875163843095963,1.9475235675805072,1.8552438179444148,1.9014604914781865,2.2166698442366854,1.758686535148565,1.5770855352303565,1.56972150524851,1.485979048257517,1.4572736294531277,1.3536108854612872,1.4011038997982401,1.4368962534661394,1.4247781465892702,1.4436340539622428,1.519892971390158,1.6082735038982365,1.5842793786939315,1.7878377047743694,1.6581479528960448,1.9034815567673853,2.0177334496370216,1.6403245258126253,1.6738419606482355,1.577496088243718,1.716849561460812,1.561506049266767,1.7758220110712326,1.6725947073902625,1.5741206330402728,1.5821228508931604,1.6217272636422893,1.9282488921931171,1.759257085733509,2.23682040209499,2.4226646052933667,2.823402462902651,2.5215427884170465,2.5797593204049596,2.0036381915437858,2.084943321379232,1.7387732291802873,1.697490732657706,1.7374378017319558,1.6104926133434503,1.7888886719705506,1.7162873699537138,1.8090819405795346,1.8284603537373594,1.8053054203595373,1.8360801240448832,1.8529856721610638,1.7920190115807528,1.7549034190677484,1.6509880213822055,1.903382507478402,2.8271241711233963,2.0208185720471614,2.1567159661372144,2.2243529180543473,1.9976212520444512,1.9929578680029376,1.9106990706838334,1.9851496027219828,2.173236079476236,1.9762721413610866,1.9871312200233595,1.9427155767282447,2.0916490981433036,2.1702502351301884,1.999331534212614,2.038736574422614,2.1891434317787963,2.142695122904685,2.0471252457786653,2.1170311155480763,2.338511718376081,2.066974332038948,2.0970854642140804,2.204812409776917,2.200006099236791,2.078514664064742,2.208328394464593,2.292001071500759,2.3102225544600907,2.4485620693378074,2.2690589718996477,2.287277410757986,2.361561568012869,2.5505256262332225,2.5972405312439877,2.9777017398117223,2.440975682290635,2.515076798255877,2.499278685918238,2.443423157594009,2.381278298708236,2.18931462729834,2.174238642771353,2.2062617111066403,2.2886873313244847,2.10414850350813,2.100941197343001,2.240683883234478,2.151683961425341,2.0971762537131626,2.0466004643286424,2.0970607267968777,2.1894082630458382,2.3044199701962804,2.6031731608440656,2.9363385931094457,2.8685960303902127,2.695918006043153,2.672109097133241,2.8533782236552603,2.5594484024637127,2.544347040382732,2.8966132516294696,2.946323652920577,2.607918314314773,2.794213154411571,3.090714115350696,2.942105005106034,2.6355443272901375,2.8441358920560993,2.5490008269381206,2.64060441336839,2.6181203113464013,2.5535260068382333,2.443308018051304,2.2759373372030667,2.302472404703016,2.250668480991402,2.20237188892964,2.1726956515881835,2.2300946580342456,2.251288278998794,2.2222629884135734,2.1811544820691724,2.2465960200191573,2.4370617063081155,2.4092444466875667,2.42375059095507,2.7182708548950925,2.7521922475121188,2.701696277898881,2.5009128217795644,2.2741512984425247,2.230451171872359,2.4633412042602614,2.396913074452046,2.4656957341232446,2.3674843370614274,2.112805355650143,1.89350952805331,1.9018108572151302,1.8586304773262547,1.8748032059828361,1.8754868938780787,1.9698410776231192,2.3223569064666174,2.0522578379522938,1.9343386545851562,1.9622787898401859,1.9165916341845584,1.7978718591773053,2.0547108403618606,2.4569260583560903,2.2614040808695504,3.1131898640774134,4.05066462002027],[1.1889832597089653,1.1735296343770034,1.1727042627855695,1.0397102660125421,1.0907977269744449,0.9645161790131588,0.8898546817023764,1.1081770506927229,0.8123278844925573,0.710739738167415,0.6798747843770164,0.8148439989184799,0.7671274933870116,0.6343025500581224,0.7493935308833791,0.748455881558468,0.7218536116947114,0.7211440337972389,0.697848407888298,0.7463974047092126,0.7404861383517902,0.7495513323373623,0.8321468670508556,1.0198835678449303,0.8405403222286445,0.7683486597782854,0.7482087415770537,0.7216134894039126,0.778653812205712,0.8612566794588973,0.7895900530997424,0.9175544225825086,0.9058541926514455,0.8748692228630216,0.8823025518059082,0.8181660293849675,0.9356290757817747,0.8267076147511488,0.8052398394803398,0.864982166285367,1.001813564303315,0.8582484353628363,0.8106823656491308,0.9418549510052335,0.881694425727722,1.348070456436833,1.2084315423467804,1.2185166507858216,2.398231758182206,2.6181915569269143,1.2635014203292643,2.0146640393547663,1.0079211740678,0.9094865461167608,1.305444417610137,0.970503700595278,0.9277180672299591,0.9254986976430553,0.9927115723773343,1.058483786364002,0.8379246324038184,0.936000573472672,1.0468319434876379,0.9319992354599722,0.7939952001712919,0.8572925601269006,0.891079476876644,0.80297724101512,0.8570498767201656,0.8175157421044064,0.9583117047100088,1.1998615958341619,0.9760433937510201,1.0370965968366508,0.8343335922087081,1.3025905836528255,0.8322177232403544,0.839802546071344,0.8429216991039609,0.9125955756917933,1.0114065831095356,0.9921719025854535,1.1640582657564278,1.0899919453213416,1.0950237420469053,0.9991792688028538,0.8809446984473646,1.0085262104449215,0.8296663684907764,0.924113920641934,0.8496432746526915,0.9429305028510636,0.8520095547714278,0.8266585415716041,0.7970850489560769,0.8289588732789468,0.8288031983110065,0.8668799715397384,0.9269596129756588,1.1618754853082178,1.0859873205195738,1.2427280541805874,1.1481071254987523,1.240921403370532,1.3165149133675391,1.2035971565786592,1.4306185681274108,1.3613470231452525,1.3808870417133834,1.325288724612111,1.2240171178323158,1.0861217138948098,0.9866613475013488,0.911706899651233,0.7762360782302886,0.7543816374213216,0.6855464026996372,0.6746906759690461,0.7071604067674964,0.7217125716477704,0.6702871665137929,0.6535877180914439,0.650255490097459,0.7341809912145202,0.8021850966563937,0.8834904753417586,1.0242068564749098,1.0929034301897587,1.1617115303100118,1.2353053333584945,1.1573500013158902,1.200077235754806,1.1693329004189466,1.272742786158631,1.1599013520634347,1.2374029878174955,1.6213433659807306,1.0726354153049884,0.9194479564991717,0.9436254627215556,0.8974429687603795,0.8411964017419055,0.7229488471772152,0.744564605351094,0.7752868186282225,0.8132763792658041,0.8108926729907117,0.8934504594896044,0.9983365765874161,1.0033811060114977,1.2122322010603785,1.1385252866660636,1.437263955001376,1.7785716004980572,1.2204612617914095,1.1827148011895228,1.071772654598646,1.165134651648683,1.0211967019837462,1.1983189617063197,1.0386108709438358,0.9444378952608671,0.919918080456498,0.9639786147992211,1.254142189757654,1.1043052348133817,1.62882568260171,1.884033894234147,2.326543499028416,2.0668377268996543,2.0724271361691566,1.4250500255796346,1.4664076586022987,1.0704225249256734,1.063250634108522,1.1371320090920585,1.0617370773596997,1.2886578072023362,1.133963450690555,1.1803696090620612,1.1881498123166072,1.1263852175933295,1.1379629072904736,1.1613382483468997,1.08690964037434,1.0850097610653922,0.9650346497257456,1.2425331293821895,2.4381378596607077,1.4575572670018073,1.6363340063107747,1.7647726057434197,1.3907617032121657,1.351885139316497,1.2027018574543369,1.2485008812236877,1.4708887911956041,1.2510882461865425,1.276008008039068,1.228231484872536,1.3699093523209482,1.4785329453561893,1.2963491246880308,1.3244227375551834,1.4904276616199255,1.463458304083606,1.4081889896316968,1.4291760787433612,1.7041102748137216,1.3990154059874043,1.4330201938573601,1.574268136800485,1.601038997633418,1.4386630908565698,1.6074792557687814,1.6986241896226786,1.7042600240358632,1.8792690100975316,1.63602830091418,1.627018699405022,1.6884538825303381,2.021458886926792,1.932788986381109,2.40006564760743,1.7774283667379334,1.877628306474713,1.8685237248353126,1.7793332619311217,1.7101823190557357,1.4921517927933474,1.467927616485325,1.5019840965934246,1.6456303460807338,1.4274025650844946,1.4395226790437095,1.62747172946599,1.5055207915601503,1.4811258880929232,1.3692336398190539,1.3794612593758036,1.498481423977614,1.6413680579191214,2.0095607047142217,2.355137604877966,2.3367767106269812,2.1201069886130957,2.072658370055369,2.3126387431998126,1.9840383628231615,1.9384637030456215,2.378892456361938,2.4584683624535932,2.0417215360429886,2.2417350283161963,2.6014072519224967,2.4373343372529237,2.0796025277229226,2.310216880500942,1.9434217010199752,2.0454691052056067,2.0083207045337876,1.9256671911265246,1.8001869654000429,1.5989373578653405,1.611666168623981,1.5684494170387964,1.5252011016919484,1.4743398226388817,1.5442009225758841,1.664169222869035,1.588780247511349,1.5248935897818745,1.6390150222442652,1.8611530056433547,1.8846918144616334,1.9211962510830658,2.2507826179446204,2.3168788794708184,2.2530157295234754,2.022486105342251,1.729781032908255,1.6853580615660506,2.0410483678899367,1.9657628684057489,2.047427669255297,1.991626042876333,1.5480992162934721,1.307191820960363,1.1993725517730567,1.1632512201283214,1.2182704039769985,1.2553083505026497,1.3006547942873052,2.0347580869932913,1.594462653067886,1.3035155851784732,1.4625491800127755,1.3852836377510016,1.0925233220167054,1.4165202991086292,1.7912796632363974,1.6165410338241735,2.8194782044557813,3.8580738490578574],[1.1539699817239342,1.1703390028297862,1.1929473454763397,1.196100091619284,1.2171461345254782,1.16411846826548,1.1819489822765745,1.3289368681501583,1.1863806905695533,1.1590836293436217,1.179552852410855,1.223085571583684,1.193957438003316,1.1647366559849102,1.2193037002534846,1.1820710032019397,1.2194576309263634,1.1957955328023404,1.2008140381005923,1.2277807769382847,1.2213697073863903,1.2201324490085694,1.2726926876199203,1.3602593339457107,1.2902887118996382,1.2085401442236903,1.1865070567641962,1.1611517127779019,1.2135236462212358,1.2557396258942397,1.1908182074201825,1.2381941355432808,1.2384773028143716,1.2297389147529612,1.2342697100498212,1.2231830435236286,1.2628434486305709,1.2175496065263915,1.2036453799421898,1.198895921240815,1.3660769456012878,1.2199272945077078,1.1462163084236037,1.3006274758533871,1.1390580719545063,1.6573533475350537,1.5283992112264138,1.4942567115747605,2.6836933243357532,2.977096217288655,1.5437348118905798,2.364464326232827,1.1902547171355418,1.2030769571525357,1.391322541489417,1.2398907005975297,1.2840158605014025,1.224714130510939,1.2500820805545163,1.4791149802951291,1.2628053732527522,1.3114932458213464,1.361426096932746,1.3089390061738633,1.2639229695759875,1.2818735553076903,1.334540739178781,1.2515235455389464,1.345445736194267,1.2811956093119343,1.4275638824611125,1.5514680322010008,1.3548066549544309,1.4205803707633118,1.2337346642872113,1.71813750776336,1.2605224636504637,1.2118247282678205,1.2358356373818338,1.27245331135489,1.3013612728243127,1.2420412654073971,1.381154081336694,1.3215765578688399,1.3735422691126726,1.2635584664387036,1.2167902004965878,1.3351895254750161,1.2442699114063624,1.2567705123517163,1.2506427017002935,1.3460660006159721,1.2221766971467296,1.2072721627138534,1.1981157897365045,1.2282602454233877,1.2217426357799848,1.2026043431021,1.2331053047871083,1.3722171435152366,1.3206485565280754,1.3839586278252336,1.355212440991669,1.3576194504024137,1.401290412295895,1.2611336489370162,1.4217414608418837,1.3854356896669522,1.4059448227067526,1.3583509264564382,1.314089669731101,1.2739408815297113,1.2361489403187305,1.2293428820109342,1.192867832515812,1.1684145629291318,1.0917137180206742,1.1575313459673322,1.2238126779639578,1.2437723948028119,1.2074179583932712,1.1792549777200783,1.1578405465926844,1.1804661606596407,1.1873676101658088,1.200153721696316,1.235390243324104,1.2550937345830944,1.2695523148961387,1.3288534516674364,1.2081566582150904,1.2022607241429764,1.2329321035155965,1.3421386329899583,1.285263329732239,1.4628943839840154,1.9024834910092043,1.3305830308044544,1.193537502140529,1.2463238766212161,1.217734675919332,1.2184200303576054,1.1554998167511266,1.150669533613759,1.1668216832862224,1.207468901084614,1.1899000361924092,1.246225320103491,1.276469721356044,1.299879258937287,1.3806775636537423,1.3417064894687616,1.54987540607283,1.8849554413211678,1.3761590753928428,1.3645595757072173,1.328411657959965,1.3490332014696904,1.307226455561042,1.4141299656900561,1.2676602277575229,1.262973117471848,1.245830558788878,1.2836500073514179,1.5699227603931414,1.4011980445615013,1.9049349388780807,2.0987948585926035,2.55229180475284,2.2677469846854685,2.3293679580558813,1.656426784788171,1.7211285599971355,1.2571715089763602,1.2991762215829157,1.3281421438478733,1.3395924013784197,1.4426848167687625,1.3645174134908447,1.3030955296222018,1.373078170066588,1.2353722131118021,1.2286549946840521,1.2389083295839218,1.1936207286916252,1.2383957277506645,1.2457727062267012,1.5430671903466255,2.7405650528332517,1.5358219372861275,1.8586195925213307,1.928372498969251,1.561249915166466,1.4936429210553743,1.2639745589878841,1.2590344258809352,1.5007587231071562,1.2427352068443958,1.2455321640169048,1.2052152552448847,1.2935277860702976,1.4134399381258709,1.2687425136673178,1.2496453535375318,1.3956651486400098,1.4223150032856704,1.3374357887739192,1.3325453097159268,1.6271258773745694,1.3575976593020573,1.3292998799783284,1.4939463237545112,1.6095248500660186,1.3104750407235604,1.5000440559241905,1.5849059476531655,1.5722568073743675,1.785204003909016,1.5272492866510436,1.490824412901196,1.5221418179907726,1.9242602982125447,1.676617993306717,2.114810964006137,1.5956156869332558,1.6871528733315673,1.7037288921079172,1.5902125022491755,1.5551447349847733,1.373073840611635,1.3512497811584152,1.3963265170001822,1.5735372401115861,1.3479093168465324,1.3705075818074157,1.588993736011086,1.450867488672954,1.446528595386257,1.3110441638264152,1.3165839043644332,1.4163247806061372,1.538330270561793,1.878260955301774,2.1666339526147436,2.187179724872604,2.0398751418458887,1.928971766605339,2.193378707860599,1.912045360911793,1.8447113205852392,2.2980036324982427,2.4221934623579977,2.008071311283486,2.1439536120804448,2.5236347310503717,2.439089774619202,2.007785781839904,2.179405274868113,1.8050856638068284,1.8799084071019145,1.864247706527026,1.745511861949997,1.6283222410977378,1.4682685850649548,1.460832598064353,1.4244716059525333,1.3979858688087412,1.361479494663908,1.4136898340718864,1.58113059109526,1.50152797423391,1.448425347390771,1.5571848319688841,1.7689167020311691,1.8215956049803497,1.8582838748932105,2.214299405723883,2.2899629674662783,2.202090350166698,1.9620349413493607,1.6462006097506998,1.5880432044310084,1.9629708524385665,1.8885340445975294,1.9961849345873777,1.9379668228370854,1.4916089613642225,1.2645115164531682,1.1960102870818263,1.2679471387593577,1.2583401067917768,1.1098967336326127,1.1338260364211183,1.8154403819417366,1.408862965254485,1.130908743872947,1.2482156064190453,1.2415084695295202,1.0594675844371764,1.3141701142257383,1.6355619320907182,1.6984561534162639,2.99776300491728,3.971599440039977],[1.6002619683823092,1.641768075318686,1.6704499698817454,1.6098733175192204,1.6099348412848218,1.4392683413534875,1.4108394756625575,1.4765604401268417,1.2903649806723418,1.2514247002121026,1.1790118723157623,1.2419975730378405,1.2571728969360283,1.1960868114781888,1.1938242951159186,1.1904061575594116,1.2511744118665888,1.232411425158803,1.2836952701066362,1.2849578786401639,1.2596376914354643,1.27861186214635,1.3668949385536788,1.473062364622428,1.4379044744800635,1.3369501413938774,1.3306066341844678,1.2786499447367594,1.2754780318626053,1.286263507193639,1.1521723905298191,1.2277758839513695,1.2049908744875992,1.180780525507675,1.2259280603428815,1.2319285921941494,1.2978118375557983,1.3028282541958758,1.336429086630105,1.3429695240647475,1.4245606852827617,1.374546401080618,1.2863178444532444,1.483877351243958,1.2868661280357916,1.7596828685391064,1.6888192136702123,1.6050631613431725,2.7965926788507964,3.170860608727373,1.7485977938221786,2.5670324761342234,1.3188275474306876,1.3531627238571713,1.445398766674942,1.3716338256654907,1.3883092134529647,1.2864802980079473,1.2903405203612144,1.591925102703064,1.3229624229404167,1.348186086602264,1.3640371753778593,1.3253333596964707,1.299376641916623,1.312423389046322,1.3121604817617052,1.2411507643378301,1.3295499684485292,1.2566842682941541,1.3810158655722364,1.4731882343734484,1.3091019618828046,1.4033717365163243,1.17824829701413,1.5357218168401936,1.2118949943763249,1.1459334576521882,1.207444568716614,1.276524558054725,1.3495045942925528,1.3199316467101838,1.4803232507691875,1.4837324300968713,1.5578301055982648,1.3721503184038084,1.284672004821884,1.3490572666805993,1.2440458844931523,1.2393231238424156,1.1839588422037206,1.212405929260595,1.1115579273283405,1.1210248804324523,1.1361623378083274,1.127965635263638,1.1310370872702726,1.1541102974506239,1.219421896275937,1.4106177245238078,1.3622982102905141,1.470570765010588,1.4633768256287831,1.5290388295936435,1.6232374211914251,1.5280752832958653,1.6864861783269076,1.7193247108646912,1.7479748192817768,1.6331727219406131,1.6184341430541025,1.5419889045164032,1.447526547821758,1.4446007128810825,1.3367150301234918,1.340903718478694,1.2955407235894796,1.3362458876347358,1.3291295791079192,1.3101991792206373,1.2815776574535065,1.2721146939564325,1.3093887014964356,1.3487956061737687,1.3683956463294142,1.4724145412868137,1.5688923752600117,1.5964611466157823,1.6430881753382194,1.6568081313978347,1.5964744236476716,1.5879022297048422,1.59803738109051,1.6814526595573582,1.612654272073736,1.7602892421473495,2.2363529900631605,1.5861257086638356,1.4494866681460836,1.5151321236382538,1.4759447410173705,1.4670051361301686,1.370070550472099,1.3564826821997862,1.3506457447686597,1.3432699155457466,1.3562058866348339,1.3860724035965304,1.439017447544728,1.420738621336907,1.5250191628004712,1.4393116954582734,1.6700015301309652,1.9164638874396271,1.428730908898952,1.4352701936771974,1.3921354069055258,1.4610726091363706,1.3994619719405303,1.5778233251878278,1.474861974696451,1.3978627142572342,1.4570544276722086,1.484884707556761,1.8514201294590757,1.670064330079698,2.2667095384309732,2.518266695147078,2.9774871083519225,2.637779851478983,2.6652007426409856,1.9483921872824908,1.9847669587938321,1.489812605152325,1.4819624200788069,1.5001304095843606,1.4450996907191056,1.5828000761260723,1.5091107413252454,1.5147801815302975,1.6228112746764856,1.4870107655124392,1.5263564596097665,1.5411263848386427,1.4654933968746742,1.4878373301595351,1.4768030677504993,1.8049689119740222,2.9649128227260304,1.755242515216758,2.0964665494462493,2.202875276558254,1.8711303426468218,1.8070592844340543,1.6381204014613622,1.6527017478669663,1.8489408693158182,1.6981923096681844,1.7041532249357096,1.6186642520530627,1.7649021023033857,1.848797431314276,1.6893026662982162,1.7184125348709798,1.8839517800789218,1.8893985188184388,1.7501583583490026,1.80131839905382,2.128875807473244,1.850888222513196,1.7883710443108292,1.994256996751107,2.115158551412173,1.7281451918994712,1.8872881265794685,1.8895407442539955,2.0258613172707705,2.0377734707584723,1.9081708617953217,1.934471288335675,1.992848782658829,2.158776351232995,2.226118264735403,2.6674404909669933,2.0937882968844166,2.164256885611974,2.162402717690236,2.0737730585809606,2.0314307746557336,1.8603454486141795,1.8213056633084959,1.8575870712433868,1.9889509699406365,1.769146204968334,1.7599994127095222,2.0227524319937875,1.8674185947248434,1.8382510321644914,1.748450888618439,1.7426895389404498,1.8585233776901566,1.9947681904735726,2.288218271461996,2.543778521756807,2.5380403322708407,2.438504822884592,2.376778257152234,2.5823625602445515,2.245572726571381,2.272823066108346,2.7181017600968564,2.8019419751642145,2.444398981741261,2.6274422466582554,2.996376816801337,2.9077365062190985,2.5292364565478347,2.73216702537607,2.354147176388393,2.406447722475143,2.3591621122955018,2.2477315188708964,2.141055137344655,1.9708928594415165,1.9546168652788694,1.8906171534147407,1.8399074212951938,1.8078269324278455,1.825408079372413,1.867726658847145,1.8565312361599784,1.8586956252172344,1.929897663250587,2.0454165879257853,2.0862434455489343,2.1017151943466423,2.485296933475833,2.5077411403445895,2.441633321016501,2.1540248026845545,1.9376292685053675,1.9012773960061922,2.1489824286798767,2.1046110802783784,2.2041962515703286,2.1479917953779575,1.85621707394837,1.6483318487024885,1.6249936250080201,1.6773563666140807,1.6591021909711867,1.325069202843757,1.4212561290774217,1.6774327556219595,1.4747352980542618,1.3733715545476792,1.3193405220872967,1.3537784427127324,1.3974410035642604,1.634799450376762,1.970117708793217,1.9746067370445513,3.175077790122421,4.2031302198844145],[1.122311659804947,1.1225862128072968,1.109730412875251,1.1258562469441067,1.0794053246440405,1.0579690278554656,1.020490461745648,1.1302791222581439,1.0781886897069168,1.081194056469793,1.130366396141159,1.0941805124605786,1.0969458035632618,1.1610157196612039,1.1738386894982429,1.0979595250580392,1.1272202353216663,1.1613421889555786,1.2211523699891536,1.1421578517495337,1.2071054436104771,1.1162148446573612,1.2939589406699452,1.4317593238692847,1.202303054186041,1.2076935088775265,1.1587046854628804,1.1504964785702911,1.1302447659544756,1.0869910083375254,1.1660266559363301,1.1125110127096685,1.1327425496070391,1.1611533971723844,1.1047386543778743,1.1076511830476745,1.0917043282438188,1.0907306928273106,1.0918480582456656,1.0878544670775918,1.2375704377387888,1.2058052520392224,1.229005165141697,1.1561570770299374,1.4081834692483373,1.5175480142280522,1.485639598019118,1.369473139604138,1.9889039050493584,2.1858360100981074,1.322280858642577,1.6732411688934747,1.3402015923710302,1.22166060237197,1.4797707973693872,1.217545673793839,1.1992452168504288,1.2237125560626387,1.2828265406765225,1.2647914997352325,1.1944040262920874,1.2705387928277032,1.3241090582257218,1.422018193583942,1.1933781589637855,1.181146728026785,1.2084935545575455,1.2152608144440502,1.3678165593969867,1.2991505155233347,1.3925055227664551,1.6671263212132066,1.4596502336840709,1.5095883144167288,1.2515018091205383,1.522427129638943,1.1562814764562526,1.1861954598542133,1.1124721958449455,1.1595867790109615,1.151288814098558,1.1770908114648007,1.2578152359453891,1.144238849981789,1.0990159318014405,1.113861826346995,1.1397368058777193,1.100589502214603,1.0952058820050117,1.1977656267552506,1.1783369578296443,1.3468141601535681,1.2753830501644288,1.2150137909752223,1.1952207987957386,1.2727431096183004,1.2544030958060615,1.1132740827106475,1.0844338907407656,1.2067135226867622,1.1032596410193922,1.1422736299303304,1.1103166568508425,1.1495976835761494,1.251137923956775,1.1441431635023465,1.3369977829584767,1.2536153035088171,1.277892201109319,1.2164055599489896,1.14572503671879,1.082851615640494,1.0404152299698572,1.051413841418481,1.1053644014213175,1.1603959563209105,1.203880665804084,1.2428331124800769,1.3707754863557022,1.1986849942206925,1.272432891083896,1.218096639298902,1.1848687659187396,1.1295358166988423,1.0896722863585622,1.0378172180954923,1.0579285117767072,1.043388143932979,1.089795999047137,1.1011857544664096,1.17136493815207,1.1774226958620264,1.1977720715063325,1.138805548032176,1.152753035784104,1.148358488751101,1.4533378564596495,1.1734650985713782,1.1922003499994869,1.0811419194068457,1.3699836888216763,1.3703654049809317,1.2816014265962907,1.1987267971708435,1.1457904923309077,1.1037281644037154,1.1146071070763468,1.0520642895955403,1.064602694965985,1.0833990405940015,1.152913393056959,1.1144275813679378,1.3732529406434715,1.756360029158784,1.3025181164271284,1.1670096282115934,1.0791001194907661,1.1204521207565357,1.0782181290753994,1.139929150781499,1.1014376511945392,1.0746731728015502,1.053108944077243,1.0461507531948495,1.116290058448143,1.1134698498913784,1.3516635032669548,1.632114901539454,2.0070745066950044,1.7553632821327767,1.719150211792838,1.1690050576160627,1.1812166185796118,1.1011585013542173,1.0955469586471926,1.1141498204327254,1.05972853466466,1.1799674304492933,1.0995064547104327,1.170906560465909,1.1233601842844188,1.1389795897080848,1.1850519987556019,1.2369945977639194,1.237256433333704,1.2426538632822621,1.0760266845801065,1.3099645862121785,2.1504448697379086,1.4682309376511697,1.9263694975696777,1.8268831912971046,1.570536031251248,1.5041060695167612,1.3130801257038833,1.3954291330948958,1.5767904334836529,1.2818694470208267,1.3239403036953543,1.197914375682787,1.352042357547461,1.3661274858860115,1.2176982580291689,1.3311523678891857,1.4661811445878807,1.4169036113937157,1.4045086322489406,1.4582369252409622,1.743765091190923,1.417554844489373,1.452194285418352,1.6887229267166497,1.72896444401467,1.4115020530328364,1.6474388890986296,1.6893696054425524,1.8782053802841683,1.9297367250690833,1.7139178463460718,1.7706571221813698,1.8620410353330925,2.1188799715982936,2.16637783630003,2.5299175562768474,1.845426774770817,1.8955073257958421,1.8167700949430037,1.7604380492219445,1.7863964410697983,1.557607001847883,1.50505491540462,1.6146007254712844,1.8128628495707828,1.5447699573050822,1.5273182228518996,1.8531702290810412,1.6755580463220645,1.5893717538852203,1.4472062840312392,1.327991977213977,1.4382221974812706,1.5790911692709364,1.8714665386408746,2.182657792530573,2.115715484009463,2.0065708621829756,1.9661947862259994,2.15039276250816,1.8023450942755268,1.8427699353504994,2.3216712020959447,2.3895842737866912,2.021257121121178,2.296158689903019,2.6781451094966706,2.5484628569982304,2.2365256461104153,2.5014270943364347,2.101933022871585,2.142883776807299,2.014881197315368,1.9599141128114284,1.931593166542853,1.672796224192976,1.6469338612866093,1.6746118033481792,1.6342667015941048,1.5487331442978622,1.6539248690146415,1.7998283457916469,1.7114077324477674,1.6820274869526257,1.8089803655102294,2.0340845920421113,2.0529372337141916,2.0699439260224017,2.432390086093083,2.493682004120588,2.3485152794928332,2.0786509163007487,1.7613683711917805,1.6654278256912194,2.0949556659347572,2.058884183046335,2.2029162714370614,2.160793739714406,1.640759506047311,1.4046962125678024,1.2188221255281575,1.1047941138869883,1.174268390724999,1.3751940036528494,1.3089855713603917,2.2217973609159714,1.8280747562743194,1.2811450426475626,1.5596804964152358,1.627885861974356,1.1322580003980072,1.2802087991347826,1.7371453173137936,1.816730686192362,3.100906663788014,4.080985020217947],[1.737996604098429,1.7440326912549913,1.799459605552175,1.6227915319161268,1.7353887336686948,1.7825009492973831,1.761160621873737,1.9661347034823229,1.789084606053697,1.6738566477891093,1.7003431456559157,1.8956706140735284,1.7477061898844042,1.5848190089198966,1.7205535598359807,1.7776556678937947,1.65838162324573,1.6442637461749043,1.5437247927350979,1.6328317470540012,1.6099816657280357,1.621069073780304,1.5913049654945612,1.745242286378857,1.6894807887672454,1.5809962475011339,1.5791766796972617,1.5415305184395567,1.6537424567683037,1.807467562047619,1.7644980856207915,1.9185818988443737,1.9593951631593767,1.898843071898975,1.8976388529012702,1.7908100589360054,1.8771138720567189,1.6935488078073222,1.6344489530789637,1.6610033648086986,1.7294859009322607,1.5872034494917822,1.5510190165998583,1.683516302713253,1.5611172801417006,2.1213513470824195,1.9464373014931942,1.9547235774945475,3.0452733831560708,3.3130452575280827,1.875282258164802,2.879060902470322,1.5320370556767164,1.5750461002797211,1.7620681120042059,1.6409508970801219,1.7331264375203634,1.6889346772334304,1.7321760120837288,1.8718017277532848,1.7036532954271022,1.8694229069123387,2.004692934032133,1.7308417190812502,1.640819754239823,1.8236970762732136,1.7361093008750494,1.6224923480295204,1.6026211156208428,1.6600737130994787,1.6576420538582413,1.6849777500434444,1.7013938864551734,1.6754014740596206,1.7511953618477554,2.2671401637959305,1.7838375581169348,1.8362496989831332,1.8339360927733162,1.7889660195172035,1.8902645586193654,1.8058689497046025,1.9446705861874378,1.9514549718016483,1.9685247097932437,1.83144348432241,1.7447283305609698,1.9433312154640392,1.800256839005002,1.91170395929218,1.8373564198812837,1.8569311416303798,1.8235800812039897,1.8608110990572497,1.8266909183964255,1.8231156085791875,1.7823028783745132,1.9480472573097416,2.007329582719391,2.250288177076873,2.1157547632495435,2.2195828547539995,2.0786321979650073,2.1110037785184503,2.066537879077349,1.9461576690389137,2.0585067338142675,1.994286667369657,1.9905304578936673,2.090258405126998,1.9365941961963247,1.839512594575555,1.8311534417176436,1.7109701730989426,1.617149386373629,1.496747078134198,1.4444901363941982,1.3373458458582081,1.3704697564139616,1.5498178465549965,1.419881509174596,1.4640160233787824,1.3930653197960843,1.4808578812385442,1.581639041750486,1.6397163195104376,1.7748433189236705,1.8213378038427057,1.8381481762922944,1.9635168659174846,1.6349429846702908,1.6913360279088363,1.627582585425636,1.9392396600445043,1.6963307497799205,1.9294832889533402,2.2312676912086675,1.5424675140004336,1.3636013095618573,1.6024485285942365,1.2681803309505493,1.2789419081324227,1.348405851812735,1.4138921161111646,1.4899758114306618,1.607110348539304,1.585832820574679,1.765170875607274,1.851066339850573,1.893199759119857,2.0616493000416773,2.105129394739711,2.357841537987752,2.748238738548355,2.303331007812035,2.232617932151722,2.104297911839639,2.1047486877655395,1.9719986971910703,2.0097517336750976,1.7741422297917366,1.77287104605036,1.6468314418473755,1.741898779135695,1.8921783258751335,1.669272464434109,2.2389525927339435,2.4557810438187464,2.981030319141708,2.6921221955594836,2.758748646451084,2.095149013450955,2.1585995673742726,1.7304016173692314,1.8283598465610613,1.9581618568691206,1.977131354071933,2.1517068949393368,1.9589511439688843,1.9652187671635226,1.872589332020719,1.8016213794398401,1.7158316580055883,1.6450246596549292,1.5690104517979437,1.6096746598518725,1.6899518336821762,1.837144620348728,3.320090322364239,1.997986926816916,1.9397804357967787,2.2503606533011458,1.780227063938886,1.635062770547064,1.5389475482176882,1.4972068933059839,1.585128071377037,1.610385138619601,1.584660231924666,1.6874783798872959,1.824060181405137,2.082215304288906,1.8608835487791395,1.707028169936093,2.0215168501165066,2.134056111717925,1.6239177156766458,1.803257362592343,2.391783643610279,2.0785631427594713,1.8141801460862228,2.149752766479192,2.455366888757909,1.7939843007707965,1.8342609778921268,1.6081136912184266,2.0197369692501566,1.5932785559283824,1.6513840052452287,1.8321837149905862,1.839806779553459,1.9354687034923173,2.1039837066256486,2.7270545659205965,2.1148344070175105,2.256553712726406,2.350866224376529,2.182313159362453,2.0187433277271394,1.8708624544494121,1.905853166497042,1.7728463985445317,1.8103989125849747,1.661173504033083,1.6380247640755743,1.7831673855308117,1.5569277757023616,1.542199363000727,1.5519377390128712,1.7883984711007899,1.9429420289313553,2.186694241670368,2.6060391882086096,2.8801941606850328,2.9966342001285415,2.7694866184812135,2.693242659619687,3.002884543821222,2.7083353905602316,2.6478209881014454,3.139156731002444,3.288358565133952,2.8649199428308187,2.9715192203054066,3.384625308486171,3.334561955994501,2.838934691872524,3.0031163425005225,2.5642297004650785,2.617849847866033,2.5900712160777872,2.4067890148277984,2.235390226495522,2.053595289221512,2.016573770993512,1.8162154457471973,1.730098794091087,1.679736655698853,1.6433311540308293,1.5734032369489472,1.5158904968667286,1.5853581547860667,1.5917498194716293,1.7646729466689124,1.6664982072937513,1.6292512048790448,1.9297615119701357,1.9842343277181538,1.923851500890744,1.6004105738498657,1.5151089221298573,1.540250108374221,1.6129421964209991,1.6036568887564553,1.6821361560114583,1.6808937651235873,1.5298683662261168,1.4213144615081457,1.6049314854296353,1.8231436908442382,1.8865030561977811,1.5698275630567973,1.8325306047400085,2.268843069530308,1.5939914134209368,1.7234880121316318,1.666248755625967,1.770226253505479,1.7475338440039634,2.0187846071876496,2.4070667626429056,2.127193579668203,3.0843163841143526,3.83362201325103],[0.9059950769819878,0.896303289656789,0.8591521814731996,0.9280163007115024,0.861067668679976,0.8738997237276959,0.8185835182460826,0.9716037432552637,0.8291237517231601,0.8122162693508103,0.8454601642202569,0.9091599210732038,0.8487431346352846,0.8664923327978477,0.9235922255113335,0.8980500811723834,0.9096296137559018,0.9422885186373688,0.9903005426433235,0.9555100460252328,1.09212718623709,0.9750190629225219,1.136734110704225,1.4017657175484528,1.0792098251138666,1.067284232329818,0.9857345277866607,0.9562288365007496,0.9113000042973018,0.8987555755133331,0.9344048086270336,0.945966423918598,1.0007525774578319,1.0178095634879263,0.967331720961439,0.9151541734040574,0.9328702817237111,0.8810768834823858,0.8765776988282841,0.8819822523773498,1.1751059738443212,0.9581483567030645,0.9845721195746702,0.9798718847345174,1.3903415335040428,1.6208346257034882,1.5661136039195735,1.3998473075067,1.934885691740415,2.019180877279295,1.1903506112815534,1.6748306801172452,1.11712004222163,1.0399254696058602,1.3074539031207077,0.9501806603091678,1.0391150539797163,1.0123402354211302,1.0629558698938073,1.068995695830366,1.048294553838552,1.18304756233994,1.29415477373081,1.270184805844855,1.0212969580199363,1.0819783040452127,1.0992593126797525,1.003360396164298,1.1634234319665726,1.0835249212552727,1.193176431994835,1.4949423596507276,1.2275397833035102,1.2717316143643622,1.104876753226255,1.6209933237142764,1.0140124706328375,1.019469354022618,0.967913723921994,0.9781965939293162,0.9996848699850768,1.0174598256335161,1.1447969402894673,0.9871695930010845,0.9632501796010039,0.9635492042415735,0.9670055965261632,0.9945005035985355,0.9264134836794002,1.0563031463391652,1.0354294238109114,1.1486012357842903,1.0719568416706056,1.040634730229258,0.9827170371953138,1.0362432936589705,1.0029275614524569,0.9774255517619816,0.9598445405836877,1.268465686177158,1.0478200701570048,1.1758286486426484,1.0116843122293588,1.079382605195117,1.1126972272755664,0.9857302058669855,1.216224681273965,1.0343963243507888,1.049798454863516,1.1092473619046395,0.9563138297470397,0.8713090066165194,0.8629672955444344,0.8758463860637996,0.8933124801648945,0.9860839663950347,0.9897600243684721,1.0946530171659938,1.2195875925612871,0.9769414543281627,1.0547749706529823,1.0016730682968793,1.042762473437286,0.9523516463437399,0.9008299229141213,0.8813176091819677,0.8639871087152629,0.8936630315879039,0.8840325884101536,0.9424416988136827,0.923265117190629,0.9414652913189631,0.9403184689637091,0.9614546452274956,0.9265953049409382,0.9398950139198926,1.2055085047052307,1.0209245729409833,1.1042659626445486,0.9344296873942987,1.3025848567145843,1.2984861689957108,1.1462062048562223,1.0286300761476732,0.9594784744438307,0.8783391350016823,0.8936518285002488,0.8647713928738416,0.8847617224234369,0.9098269359435764,1.0411647020859545,1.0554248620344804,1.4012819398639995,1.9361611031308132,1.3908615762992451,1.2064082165970587,1.0163220748476334,1.057995128445318,0.9057890674906858,0.9970707655966965,0.8989526388068378,0.8883553332410021,0.8712532323066606,0.8686781893378049,0.919285042054461,1.0560054742305325,1.119624676105505,1.4107352458243347,1.768111092707718,1.5690417900402345,1.529418491727192,1.0209111452077766,0.9970590363300018,0.9052635023337241,0.9038221792019282,0.9584115672174215,0.9315092267944148,1.1002410347731233,0.9574071000808044,0.9863420525494961,0.9274646060049738,0.9436746529697264,0.9461630734824189,1.0056053347781866,1.0420561587117168,1.0418998844278167,0.9197255430751383,1.115237495682664,2.17234036835616,1.4210289078633016,1.8662883543541071,1.796275332201935,1.4740911416631188,1.3513986655789143,1.0683073669863217,1.1340288809093075,1.2496257367251278,0.9809698356243481,1.0325435407516426,0.9242863040352616,1.001536515597353,1.1110726040707408,0.9371940264342551,0.996960430462737,1.1399725993360335,1.1633236852836066,1.1034648236864415,1.1195002754662597,1.4972645112883307,1.16330614566864,1.141548485333281,1.3999795055869804,1.5399282146968516,1.139758968580873,1.3651179991226352,1.3960375086427128,1.5437525399728136,1.6734584736184044,1.378420548792814,1.3806953641410094,1.4262746362105323,1.743720612511201,1.6561610541051697,2.1140787620855748,1.454636675990995,1.5412620870797042,1.5183225857464857,1.3932949087207709,1.378354515503091,1.2034687652269485,1.1912958335487158,1.2907092510579012,1.5535131069426968,1.28293974839563,1.299407852438932,1.5654937800030133,1.4341362788614558,1.332291635539387,1.1630852530970506,0.9983582090505878,1.1115643612008748,1.2984668657241383,1.688631629864126,2.0496745357733235,2.0548577987793695,1.8410792888904357,1.7928489462104893,2.098927439154598,1.773524773824789,1.69729068006525,2.24278779566616,2.372871895203823,1.908201087558407,2.138947697897859,2.5855254983120353,2.4635426092718755,2.041093005020083,2.278012115298161,1.8041125935260667,1.8560266381052237,1.754574841898464,1.638203706896455,1.5594584052538274,1.3094716037150658,1.289831916878921,1.2801996330435197,1.262000405682437,1.2060347412598054,1.3072998824283775,1.6097183208483112,1.4807427890338871,1.4222911220037107,1.6121628529653573,1.85789769884195,1.9183356525405326,1.9433085980264075,2.332833096305658,2.4582125135590402,2.201350336843616,1.957693068904962,1.5376616114107802,1.408375725128082,1.958133668256598,1.937492869425842,2.1418186782503272,2.0979297855993924,1.4478622296482402,1.2012132747786455,0.9593148557161315,0.8913177266856854,0.9565124386552382,1.2076204137473527,1.1509237834901302,2.1992405774635864,1.623815653313532,1.0783598454350587,1.3599257480731792,1.4697303292346207,0.9307150953603265,1.1352078353845938,1.5450727041937935,1.5914268306927974,2.908267335612995,3.755703729896114],[0.8870494413222042,0.874683263845794,0.8093844859915025,0.7896291510237613,0.7423552987345471,0.7620885566943494,0.6826289643063291,0.8400566636978176,0.6857554837689633,0.6274595818301817,0.6846237610963285,0.790734132844844,0.6866872176133614,0.6621559456570918,0.7933801126351564,0.7589304158364342,0.730781148151805,0.7576242948625562,0.750183640041512,0.7445101393037834,0.8542820526866742,0.7453280594476304,0.8784720961857713,1.137594315689711,0.8883981196543933,0.8273543760042625,0.7494758570820867,0.7046821434715629,0.7137826666510649,0.7678812867711067,0.8276119355306976,0.8183614331831642,0.9116428217803828,0.9091350448399532,0.8474727129650178,0.7906642143844924,0.8106797314829339,0.6929901491185175,0.6780560120797798,0.7136798798561169,0.9951439635341981,0.7441793161609103,0.7807905498761283,0.7678842876769049,1.1153829812381821,1.4471361557090596,1.3429976274935849,1.2204671594243766,1.954562493245264,2.053376370899372,1.0472801406294963,1.6439968189557468,0.9846729736440343,0.8784280239999538,1.1570188100365033,0.7716827006170476,0.8680797445577924,0.8379128627993624,0.9088929544647963,0.9518147683141759,0.8626290823818789,1.0614026553045968,1.1947426479395244,1.110066561107957,0.8233685359664796,0.945774204363544,0.9415022803018159,0.8066828230423975,0.9685987406606326,0.9208733218390242,1.021163785370239,1.2842726088751308,1.084230201790949,1.093318805866371,0.9851902195761537,1.5797463714391946,0.8961622182895825,0.9171135349111094,0.854938814882642,0.8539491724989597,0.8980260672986655,0.8894061294891705,1.0185974827581983,0.8927962595483225,0.8209051426557343,0.8187672304661097,0.8069376249805588,0.9024227586937122,0.8002654714229298,0.9323548332868707,0.9138329001349466,1.0575194163865544,0.9798462084939215,0.9433251982630784,0.8840738403136752,0.9466426104567964,0.9228093137199825,0.8714913138558945,0.8502722300376991,1.1152503202202777,0.9299926945323739,1.0261317917638235,0.8744118921520514,0.9506541132022704,1.002086766294925,0.8612947976031412,1.1434662992271063,0.9008373495372664,0.9176407457959473,0.9756607633194907,0.8418693284410317,0.7462794689607992,0.7129255966533872,0.6895603342130336,0.6777349588779937,0.7023035112003791,0.6914135711221433,0.7126243263199746,0.837919063240725,0.7339651938612666,0.7276949607153079,0.7034936320437318,0.6705277229980923,0.644166655350783,0.6642138623629972,0.660303722761478,0.739489490834514,0.7488465956138926,0.7568005743964932,0.8125246938928145,0.842835025460147,0.8962536124222527,0.8484901394141109,0.8433031643935628,0.7908753856755598,0.7897585410620144,1.1097734508708064,0.7858318639127199,0.8009446596668118,0.6722491559619561,0.9217427278661536,0.8982697808901524,0.7767320683316359,0.7202369939461608,0.6882306269164674,0.6697557636994492,0.6664367295629762,0.7015286060927248,0.7389161892784084,0.7791601484573939,0.9111684937874321,0.9267674318898581,1.2844213898303218,1.8188783910337332,1.2596799005392867,1.0699410890147567,0.8973557624952617,0.9257798372253693,0.7886821586702955,0.8682012554257456,0.7391258619781965,0.7344208996986772,0.6488315315968599,0.6784636763192621,0.7341600245636111,0.7924127990431937,0.9918453865852853,1.3062594459340142,1.7035856344967724,1.5087817367062406,1.4594093987916088,0.8803284143700381,0.8720510123494919,0.7373098261937006,0.7453441301897931,0.8272491016675979,0.8078455289803045,0.9742171411705223,0.8237826877657942,0.8719054156018775,0.7666516258892079,0.8141130296115784,0.8312510514330519,0.8791188312377616,0.893594645005424,0.8559637332002765,0.7044700720282293,0.9272596117244437,2.129894567994823,1.285619787045734,1.7208988419528473,1.7048290570462308,1.367265688144414,1.2494872754605162,0.979919550307421,1.0656938095367336,1.1873881197798097,0.9302837454982437,1.017629138466652,0.9154633194715932,0.9371231397862362,0.9609635162742471,0.864134369242939,0.9911707580032292,1.004399446299674,0.9976438579468417,1.1645393782317424,1.1020601459244268,1.2525303338967406,1.0291981445543752,1.1298296923997848,1.2237972957946193,1.2737672611305209,1.1572138041490834,1.3810944361449464,1.5484801286413405,1.469947873947546,1.8556790024101115,1.4930057609368792,1.3716811322824631,1.4242148390073448,1.7779071744723935,1.5821951492525563,1.8961319066407845,1.3003609279427013,1.3334581852215397,1.2451463707610997,1.1625263395415757,1.2306675967147305,1.1289264503335452,1.1071415405981162,1.2838516585603472,1.5976870340707774,1.3067463453055803,1.3141924309339421,1.5872437704482687,1.461151906090648,1.3264892718631514,1.1800554633038367,0.948169912497649,1.0383137530554638,1.1482119581194188,1.5042147812291298,1.7647883803044195,1.8208482943570996,1.6626623840094836,1.480560071703917,1.7854048871169357,1.5260534439530817,1.403924327002427,1.8813254703061582,2.0200705992089185,1.5851160795934398,1.7583442726393275,2.1651306692910612,2.067605561527989,1.6722104288663422,1.8547607236068342,1.4558985714881874,1.5141952870159736,1.4563961122560758,1.3660898311366012,1.3175964298771172,1.1655097019563687,1.167286782141094,1.25298876366356,1.2932725672415506,1.234121367381645,1.3545326396442698,1.7667412202805255,1.601687337799944,1.4770323787337043,1.727890982637336,1.932934723256898,2.022736911568099,2.0633664652240764,2.4183383564839955,2.5447904072741863,2.33226674284432,2.121863408216214,1.7072493906886657,1.5407533609045423,2.12061004835906,2.067477107152763,2.2559225111130212,2.2047604226032935,1.5376151126269735,1.2742758544289432,0.9379964305522239,0.7739639070537286,0.8672173961697874,1.2780019525566946,1.1573053383841805,2.2467395587438634,1.7036327566516565,1.067120058002293,1.4786264853093596,1.5009742728710165,0.8955537763950745,1.054623823800758,1.3279013858417221,1.7160641881969998,3.1058122810935975,3.913204289380881],[1.1723362604570455,1.2082887003271443,1.2164299519729729,1.2916871620235981,1.2658753333133002,1.2424674626621444,1.2600276966019581,1.1826685576788283,1.2386518891038676,1.3196028830754427,1.317460461945282,1.2026680006310784,1.2883711918050562,1.4016758659173647,1.3533973238953518,1.2750341908943186,1.386703796139156,1.4256729478956145,1.4941150340630271,1.4297801048462007,1.4934479805859497,1.4641310758022321,1.6636438167814456,1.6160475241478895,1.558441940620182,1.5597591355170282,1.488876912722676,1.4925672721412149,1.3879129562756818,1.2940955055862013,1.3556058533684092,1.1944764378139745,1.2598094935872408,1.2823695306487033,1.2605591019561524,1.338798739771698,1.2453305828061156,1.36740994259181,1.3961425154201506,1.3750150094041695,1.570710852848408,1.5150176622023142,1.5120862965765745,1.5087289661271561,1.818426742965157,1.8366747181906287,1.9091541249501018,1.6367551011065653,1.8377311117794606,1.9042919805664462,1.741701059951923,1.707356536951129,1.646116215634569,1.6097030087106612,1.6182822628920683,1.471017663117751,1.4506276521209953,1.4457160369802835,1.500921056966447,1.6086304189969727,1.4917188815913258,1.518081747846592,1.4230878095308432,1.7055511273510142,1.488984329247053,1.3848429129561703,1.495217183353294,1.4484508526339372,1.5931601088796623,1.461086474555954,1.6138797590124478,1.8790834481032113,1.5721157703823438,1.6904441938387034,1.4552030717216897,1.7807745537927016,1.3696817126968488,1.3802105009548764,1.3488093256260645,1.391123993587014,1.3191602158672195,1.3347830884859235,1.4407801606642232,1.3051649478186238,1.2486893558478074,1.2716514322827568,1.3492201775912305,1.291384668689858,1.342729014073879,1.377764547859053,1.341661486633224,1.4823519545370352,1.4146370826561203,1.332398492222028,1.3151342166932514,1.3576138191013725,1.3651386903702187,1.19992067932553,1.1419981191901953,1.191018708254252,1.1160378460869986,1.1331446241257697,1.128222212809517,1.2046165049552437,1.2803464342905975,1.2255068399319837,1.4076333846583577,1.2267434454572888,1.2460808420451819,1.1861530742044963,1.2147315195511152,1.236969203707026,1.2256181621535391,1.3246668434897682,1.392603852311457,1.4785930990201868,1.547241629564095,1.6113026397109231,1.7148468421148877,1.5270331975417515,1.590351807054872,1.557631592039198,1.5551372822895726,1.461301957299794,1.3915695663955627,1.353229152362132,1.3141737957781432,1.292082348698335,1.254635827866075,1.215525372946813,1.3694267556057826,1.3642801914965152,1.3728396979087254,1.2567373890769296,1.3435963914019262,1.290979667919423,1.5026154013298278,1.458302582600209,1.5570390259775664,1.384358388902486,1.7160422196271867,1.7506099549345735,1.6476743328005063,1.5457386591163356,1.496844319832,1.4066033373138547,1.3951141042728727,1.2872302491561565,1.2327251119337352,1.2196335050293436,1.1749320802527,1.1698584970645955,1.3818250126969693,1.8641171514993518,1.327530231052638,1.1598609750265565,1.106363423755352,1.145012775231019,1.1700974190677804,1.2297992963647533,1.2933122882854444,1.2933888944555147,1.3625732576318648,1.32530360645262,1.3642815200993292,1.5200508574390337,1.4020283427379496,1.6622651900168663,1.8449629980747468,1.7527880557735365,1.6424648899001955,1.3290566702317288,1.2627575613929651,1.3180908868344536,1.2666905841361098,1.2041265539538328,1.1657553006705956,1.1764798375276273,1.2144742387615313,1.2619602058964852,1.2812168948675635,1.289811095819797,1.361201847676586,1.421326132955946,1.4533200753011855,1.4529414780750107,1.350435356330338,1.500190412780231,2.143725988222416,1.6506471439530295,2.3196073106272435,2.217277852483743,1.976166832884562,1.8113689515707654,1.5206782760531092,1.5621636635088179,1.6361400490158982,1.4285754409121696,1.4649603278901993,1.3396899045577855,1.2746949009041648,1.2156887890878592,1.2162457052863844,1.3573467161220878,1.2806126257634258,1.2543385621021657,1.5273939815252982,1.3958231642354457,1.4543973683102556,1.33046119630297,1.4142234857673759,1.4753887670628194,1.5050188846150652,1.4306150740100851,1.5782479380330299,1.706304126410806,1.7261791937093236,1.9398957485331172,1.6793389121839706,1.575867299590427,1.6226747434436481,1.8511125596153388,1.790764935370595,2.144520309579741,1.5099315542678964,1.5210970117684144,1.39150967292592,1.365090449165641,1.464885337485605,1.4236965899725345,1.396960380993498,1.5905459479230994,1.8833929545962549,1.6436686651677357,1.6373421775024317,1.9272412535931496,1.802866265360508,1.7293480371941186,1.5626489806799033,1.326004574154964,1.3290192649922368,1.358193074998667,1.5904713277685973,1.7569798294887287,1.7585521575874552,1.6965709802562288,1.5378696350834338,1.7414747704340208,1.5313393779617042,1.4789179634532714,1.885898136808783,1.9836047282949234,1.640614719288763,1.8478689632069991,2.205812775103422,2.0876153374106243,1.8256775277947472,2.0088945952181216,1.66346998904018,1.6815888546501143,1.5888807021967217,1.5365450668140381,1.5277424177074999,1.407094086818265,1.398936430685304,1.4833706962000055,1.5188430623837799,1.512501891797846,1.592621136103091,1.919295296547794,1.8170425425843617,1.7530765342858667,1.9339358410880458,2.0691447302606583,2.1680651616177653,2.2049144349331944,2.4905469557542452,2.599531301091698,2.366573223578174,2.2142560797986426,1.906579433775876,1.786045200394697,2.2567033751656025,2.2746736631464066,2.4556796402770464,2.455172245229616,1.850422457001103,1.7145082584675726,1.4045837870884887,1.246058882212621,1.2445858202174283,1.5797161839400577,1.3283588933641384,2.258159774702063,1.916744587220303,1.2786327872891938,1.7183045052204784,1.7017915948211353,1.1934750220989716,1.2974837120796285,1.3348500543487019,2.127649914583143,3.52774748436526,4.243503026967943],[0.8166099992288862,0.8222622027423433,0.7511684356115171,0.797712556097129,0.740706885181993,0.6734903331036411,0.5840915840439836,0.6317569657281835,0.5024984573637273,0.5043223835476247,0.5248242460731176,0.5888144076428362,0.5248601975902706,0.5666679560813207,0.6514293011433684,0.581664873501604,0.6014633522620702,0.6572353348374839,0.7395399077683388,0.6576262445246943,0.7542262624526237,0.6963702284111517,0.9064236129751914,1.0558081733843054,0.8416195793483655,0.8137532723624805,0.6999575897391455,0.6649500145167924,0.5957532968451539,0.6076182890648743,0.6860001794148972,0.6519398261162176,0.79441818656842,0.762486770111468,0.6822038047821397,0.636304012982384,0.6220907121191637,0.5730719602077738,0.5798971134070859,0.5936035060457912,0.910825172601105,0.7113778913127105,0.7054759353382446,0.7597886611601439,1.09697479082648,1.380162003729184,1.2917987719340673,1.1268221959716158,1.8723481407780558,1.9398744431813733,1.1160291876837924,1.5875962857976686,0.9306165818843001,0.8562740787256575,1.0233558167222927,0.7181187031337328,0.7626975534886902,0.711054054332854,0.8011271306479746,0.9703327880237241,0.7740862242989176,0.9458844393557184,1.0121777062293573,1.0867067151754728,0.7863321483471769,0.7788225276550511,0.8920896436606713,0.7410230491271014,0.9107581433297933,0.7957860888257469,0.9871901745694901,1.2893303525735953,0.9813555483829793,1.085968344460568,0.840730689336112,1.4836948791272773,0.7649678052186738,0.8141206752130763,0.7253143820342964,0.715420857172598,0.7235384936965645,0.717903183576675,0.9191934319331254,0.7415834876763898,0.6332117548988412,0.6240295179785507,0.6170466705978067,0.7293828379709594,0.6581967621158864,0.8363114302992599,0.7712053418181173,0.9595860138628866,0.8618657221913684,0.8058981560730468,0.7292793037620918,0.818601839190687,0.7581182138113691,0.7230566100895807,0.7091110726299533,0.9828519945964174,0.7664205439461962,0.8703649376359631,0.7024409181209266,0.7616973241066399,0.8516939769492573,0.6880431834102061,0.9825088057549594,0.7780995473414691,0.8184401278362146,0.8512222378310774,0.6999128780624958,0.611081837279718,0.5711394467196759,0.617434599256439,0.5888083565961637,0.6981570555010785,0.7211507629086065,0.7892026429234227,0.9124825804668514,0.7426403545593339,0.7877208096454339,0.7329453832056111,0.7425582878242208,0.6753232518894249,0.6473819244959199,0.6613779504456022,0.7073288332240135,0.6911767198526892,0.677760301643776,0.704010258841302,0.7624675317110824,0.7951902171170795,0.7631108067099714,0.7531433993129122,0.722718166394651,0.73467606486734,1.146827596196454,0.8064008291904673,0.8640584225797813,0.6966162430472228,1.0245504697024592,0.9914960733081459,0.8340222799796864,0.7337730621987807,0.6667109350245427,0.6045410628804685,0.5912331257080872,0.5573810447933016,0.5679663587637059,0.5909794248333329,0.7078321124475492,0.7224153913489202,1.1721529334669696,1.7563930268289298,1.0811798673183228,0.8852961750508781,0.6922872755456881,0.7267341134682069,0.6114912387037141,0.6877077843799194,0.5813742410669998,0.5678562251916678,0.5883814993091334,0.5672634261243023,0.6984942819395938,0.8446991654361656,0.9924038629005051,1.3180817852432856,1.7116130868254011,1.548399925782402,1.477183556572384,0.8786776816753348,0.8155785162982516,0.6015843325728464,0.5798543579888906,0.6497517542795398,0.6371522327399314,0.8693325403059593,0.6599697561666052,0.7443927171119469,0.6229322152624878,0.641385200536913,0.6792089191448936,0.7425229404760434,0.7765500306820957,0.7385212607455091,0.6216776479001642,0.85425040210819,2.1150651768939563,1.2153673976132993,1.733785580632455,1.7253603969534046,1.3593699225850218,1.2286672782754184,0.9162685931357581,0.992662190924681,1.1386670054467338,0.8574421478541073,0.9473498584049905,0.8333969886304378,0.8644099758175144,0.8957490608442882,0.7847730607073793,0.9315906305262756,0.9528675315246274,0.9280109191134833,1.1267304938965528,1.053347980642105,1.210518658790566,0.9669244022541492,1.0857320242124304,1.1878268352919807,1.206197926384379,1.130551292533818,1.3467228286967916,1.496633658229735,1.4012695124870067,1.7962894726617737,1.4330754252629694,1.3257125235349532,1.381460145835436,1.7842201169771075,1.5727562243913549,1.9044695906222193,1.2877894494007462,1.3587051019737615,1.3052907229760793,1.2162905857829849,1.2281834711458197,1.0824222763200229,1.0376856229502163,1.1950161025190633,1.5145011575449603,1.2155206327739827,1.2509710394813816,1.5278247080654,1.3991638410024485,1.283609178633827,1.123475908289925,0.8631480456245237,0.9764161032480209,1.0967182656925545,1.4612753531813192,1.7611628564166284,1.8167400190200937,1.5967440592645419,1.5083879503972124,1.8185520755075806,1.4980769434694345,1.3872889744499055,1.897614576568488,2.0078267610963643,1.5433515926724382,1.767181692491153,2.185095677148219,2.0058850564758934,1.654534214388049,1.8887868696667045,1.4814431812062119,1.5530687624976052,1.4673715543277177,1.3863612955782427,1.3299154519873284,1.1271070992129797,1.1229286885292502,1.2007771285849231,1.2342405232580282,1.1661470247367047,1.282763007103142,1.6791767054383482,1.5347449308445682,1.4091869042079253,1.6559125503844818,1.8816285257801184,1.97437574360222,2.023546784153883,2.391264890288405,2.5141938603286897,2.2948680494434,2.082783227773917,1.655801799995109,1.5107649860110857,2.0883979303108706,2.040868001282049,2.2234548438630766,2.1827257468174714,1.504814028933807,1.2654312478029268,0.8789418260317993,0.7230430360371207,0.8039523724021339,1.168373039140708,1.0316309602603406,2.1012404172520007,1.612792852855215,1.0486761411353664,1.4614281099591595,1.3121253482363417,0.7595650730793712,1.0016170379191542,1.2484039942525609,1.7708475661878635,3.2558368583482067,4.056160521738967],[0.7800731279126987,0.7700189940447687,0.7144048326834965,0.7396195383961196,0.7198902640009865,0.6883495763517135,0.5762598893911673,0.6363887599203312,0.5157637431425287,0.5149276056034005,0.5658926888105511,0.6473451247628315,0.5653311780089222,0.564330967259626,0.6964287534427585,0.6439495893047565,0.605453229553605,0.6636121581067461,0.7052559495955008,0.6445946453392025,0.7008813500841407,0.6818861970751638,0.8436541073324804,0.9821253618444842,0.8283213286936275,0.7683225187201053,0.6643209051096205,0.6282391761042958,0.6247606707065412,0.6596275871991821,0.7391164453009184,0.7284868079898683,0.841790735539355,0.8067701426543895,0.7435217017390152,0.6776663514046554,0.6817413609118996,0.6104400045849196,0.5765761745115542,0.6091450243460707,0.8233543462206934,0.7009569464008418,0.6895942575979332,0.7387255515573115,0.9627018106441317,1.301040218439466,1.2033902068576203,1.0511145298777886,1.984029509227043,2.0818488801913926,1.109380267325749,1.67217758546845,0.8841424868180957,0.8109459995138523,1.0209040370150404,0.7383037089000122,0.7450267405849241,0.7239493284691889,0.8242700409422327,0.9789743828682986,0.7604450739183787,0.9876022945506013,1.0482228239856113,1.1057973904045515,0.7866424804671749,0.8052585437403658,0.8793553523248949,0.7404760448633364,0.8760909199727182,0.8187191545023175,0.9767229035177893,1.2784394393010363,1.0229515736326575,1.0837873189736105,0.8975654344204872,1.4795713543886162,0.8129745552860455,0.8566946582907198,0.7556960082533493,0.7322334551929057,0.7845858619077541,0.7603909913629312,0.9129022835420394,0.7848805811019322,0.6978010520322188,0.6727633833853016,0.6396563887794261,0.7755784150191137,0.690687148950466,0.8547966365156299,0.8069568485185582,1.0172256127598218,0.9093634426085464,0.8617734821126095,0.7813554564745517,0.8707846881904241,0.8154041349034272,0.7951160400225602,0.775968163903051,1.013497392449334,0.8182641839383447,0.89407151966503,0.7581822986177575,0.7966207846680314,0.9137791639007055,0.7395907317660584,0.9901021394531827,0.798157035829782,0.8352966469025737,0.8527032795176454,0.7112154178822969,0.6138630096498986,0.5726493111285009,0.5991522572461171,0.539916733583875,0.5961867229292992,0.6559018758710727,0.6714303959468771,0.7809421294721639,0.704642897913126,0.6942776312494237,0.6402243967668855,0.6336356514519542,0.5832713511062529,0.5865416294760741,0.6103365831671669,0.7016026383165889,0.6573824522006504,0.6729252190344504,0.7020143201589677,0.7506025442718909,0.7991856914626818,0.7490504934291016,0.77802935300975,0.6950063932250518,0.7100019955083576,1.1404086798086661,0.7191678057583771,0.7563255315411591,0.6301208483699416,0.8811220574961608,0.8581078006804881,0.7237653889124662,0.6547500097651983,0.6003677884651658,0.5997402954284692,0.557623000340529,0.5850148455295673,0.5874960155158786,0.6031279211418745,0.729785592129527,0.7457039933875845,1.2117967371558653,1.7540404731388843,1.0611580879913787,0.9110817723681146,0.7452772269291835,0.7491446107228164,0.6720938031955388,0.7308735270627822,0.586629748090605,0.5930694412202763,0.5582362394266682,0.5678574162413305,0.7261190160633145,0.7233916477039792,1.0013213659745328,1.2998101340063535,1.6965937416475165,1.5450453191604174,1.4851023088793194,0.8762828027098468,0.8643404672769375,0.6053135436241212,0.5998226376216023,0.7098153094266145,0.6944806500790869,0.940564967184487,0.7076986231888751,0.83601504124117,0.6521272850656236,0.662837199826566,0.6950018378820478,0.7491752625386494,0.7512645886062324,0.7125806567896927,0.6449917179094214,0.8326927414984703,2.1056936221249187,1.2723385776058835,1.5506054886090535,1.5747287643201655,1.2366124051491414,1.1417925742755115,0.8719315861202626,0.9634566767058277,1.1414028714856717,0.8503608613180643,0.9430936382175535,0.8481935518074994,0.8917849244898076,0.9149338107317985,0.8100017321269721,0.9480024240278663,0.9641587162493562,0.9271190609178164,1.1798030691674026,1.0805941351817314,1.1726258140708616,0.973822348130962,1.1260231404669732,1.155428228896452,1.14441994600407,1.1983768026454649,1.3876099555557617,1.5834258878412493,1.372850377706335,1.8588093606066078,1.4610863659496827,1.3251217357811307,1.3581833217387802,1.8205928437262135,1.5605045444648649,1.9176312281001548,1.273084176523321,1.3721099227192726,1.3297042027231956,1.2465797077941896,1.2171823706482339,1.0831876915572702,1.044679775250432,1.1634900527347067,1.4652384791741768,1.1869413589805293,1.2391003842253288,1.471345445181498,1.367259018750998,1.2570459498080655,1.113427453490594,0.8734950020006613,1.0170491816700031,1.1269572445875036,1.4928205607416358,1.7646684791322134,1.8400581137347574,1.6137016129213162,1.5020239480715785,1.8273831105086105,1.4814449277110353,1.3686568407868862,1.8626190603309905,1.964718327894991,1.4906643040405458,1.7036667866149164,2.100689867103933,1.8974191250357637,1.5545976430637176,1.781864476834582,1.404972890785589,1.497297902069542,1.4402637438972659,1.3658917206492611,1.289552263985829,1.111809449935942,1.1098023459542647,1.1942468371499517,1.2431567154967744,1.167084543497804,1.2712091583368372,1.6697201549037584,1.54593665128947,1.3918435924239538,1.6260492638724386,1.86052483005694,1.973650914978273,2.042337670852476,2.3923412854925563,2.5229023829526986,2.3362677977557436,2.154739942702217,1.7358902060734183,1.6098357090259434,2.192250457394834,2.1058677541680724,2.256110540704418,2.2179345905750445,1.5265354661972927,1.309747452814374,0.8853879552674757,0.7197876424492223,0.8197913781043636,1.1863279526568797,1.0408175856551316,2.0377433267075884,1.6278650267743398,1.1012068578360719,1.5035749623492494,1.2745809298870783,0.7877839332231613,1.0202041487303914,1.2138265011223974,1.8637673524133511,3.374865375493993,4.202297139201574],[0.7086516784606178,0.6806297663829489,0.6176793622467914,0.6463632610268576,0.6459085088447796,0.6033112869321166,0.5409470917946828,0.6837617122893689,0.5096803509549586,0.45225365730402867,0.48408811763058673,0.5961120667442031,0.5022928563709484,0.4914714189924782,0.6275027700061041,0.5727398342727075,0.5607652977792482,0.6190488710074953,0.6593032628251254,0.6098751471790832,0.6750096261578434,0.6323565772838337,0.8042007478551064,0.9717701782657018,0.7468901748665754,0.7102203066422272,0.6037521523737238,0.5764636166960336,0.5624817878661474,0.6238447168555072,0.6628336404338179,0.6507478579557124,0.7903708333435345,0.7583493569814953,0.693905108733917,0.6332259260309296,0.6430311343783041,0.5718606892182796,0.544375375625176,0.5656112834861371,0.8041913630710711,0.6537494837507963,0.6469917919055237,0.708862752508286,0.9709875376848432,1.286609548641726,1.190119354129925,1.0905373377959502,1.9382645307737594,1.9660305737646904,1.1015138411085033,1.5721941550860747,0.8497540956049946,0.7747267041814443,1.037158342107886,0.6905459689780431,0.7309569076940134,0.7004030735721305,0.793797583178767,0.9774533290708248,0.7594509393773786,0.9113474907849176,0.985549674832164,1.0476309377599222,0.75072944566202,0.7483835690508908,0.8456376430315583,0.6955374494485946,0.8354869279786732,0.7518194828942626,0.9210563796695415,1.2512643954857865,0.9434478615814271,1.0427925905479927,0.8111874727833209,1.4516575099816504,0.7453803755269269,0.7865699946177908,0.7153624917752018,0.7183844880224357,0.7496515946233654,0.744565539314931,0.9791279698601083,0.7625054759786468,0.6956536970816837,0.6545922809534468,0.6193754397883777,0.7405599150573196,0.6494171828749207,0.8373435578742535,0.7585400748174747,0.9230663237220244,0.8223195606573042,0.781279301970772,0.7165404084573932,0.7980539092941861,0.7379112609796978,0.7069788522524061,0.7064923865152833,0.9790005542076897,0.7709543664054235,0.8910549126227261,0.7368079331540435,0.8208779071450882,0.8983203160307964,0.7096318978597654,0.9903718056117252,0.7451212538720899,0.7725659237073746,0.8692660807748176,0.6894300536212769,0.6018958956028233,0.5615231167988306,0.5473723826502038,0.4993965745096319,0.583826498662637,0.5946270535531785,0.6203549121383072,0.7773681539343201,0.6658623814508678,0.6575105554162892,0.61387769498806,0.5732849801035582,0.5465339340111425,0.5474271474555487,0.5551110734380379,0.6232081079447009,0.6185454363928816,0.6085627145359562,0.6830717153189065,0.6730233342086255,0.7213572549526633,0.6663483235588201,0.7408054456654329,0.6583386398751655,0.6963979643580214,1.0999853818484155,0.6692115738336957,0.6973900518005902,0.5905577338001151,0.8306509424515294,0.8107878942097918,0.6909889667783475,0.5854645542875301,0.5546233120428012,0.5408421826005073,0.5185339526744541,0.5170590139447079,0.5861957556889824,0.6282125322600094,0.7617008739817998,0.7844877595138962,1.1644955177446354,1.8520630296994953,1.1108464547079921,0.9039986139605004,0.7451506515029952,0.7687214865389855,0.6509478300815136,0.7316875675971914,0.583321037863372,0.5438977198572092,0.5174329537992343,0.5504978738627411,0.6439513865857501,0.6866039011258579,0.9149519630843093,1.2229843197130283,1.648053160126358,1.5240571307985842,1.4694881540501628,0.8583238632230702,0.8172234649320869,0.5878017174763157,0.6156116631571281,0.7268753617476036,0.6823470747598145,0.9109165270067332,0.7226287707194999,0.7773357203788104,0.6413510593457016,0.6487721589399018,0.6409065800844836,0.6719580584101622,0.683333267865492,0.6914838951854898,0.5742157319637886,0.8264741408208425,2.1991663159052477,1.1598030964046113,1.597541241139219,1.7569814531412908,1.2626578668984263,1.116298087663041,0.7912263648309663,0.8412789783739483,1.0451206115328466,0.7566931058210274,0.8363467504249134,0.7685795314956895,0.7988076978322637,0.8814109325680123,0.7527560687544096,0.8335976139610467,0.8942598045071745,0.8890597714374502,1.0511535357188353,0.9449827702275325,1.1420037786969,0.9111144961940832,0.9944805821076963,1.0704430729657566,1.1261957633059825,1.063103412840386,1.2322235807345343,1.3896320549540855,1.2979795070971971,1.6294433914626452,1.274416154560996,1.159650640803488,1.202900878449723,1.6324667685000367,1.3985680327769403,1.8960694954826653,1.1890264272896147,1.2866471479670765,1.2588887673647977,1.1635392241141456,1.0827182755073395,0.9374183512702741,0.9430126053866277,1.0484885094751863,1.3214061038697833,1.0657286931654593,1.155990898720714,1.3508382821022917,1.2367061615892765,1.1728669729443524,0.9835278020545317,0.8149796205222184,0.93643538203842,1.0925350615280862,1.513891407798926,1.774170825689319,1.8635791678752571,1.6222195603098466,1.4589476198102105,1.7838979629594989,1.4813421808595173,1.3619002406104987,1.8376365511914203,1.9515248287377072,1.4899418353784701,1.6692159003491,2.055904410846279,1.890390637368211,1.5338247604852586,1.7304081961664637,1.346994387874794,1.4405294019924904,1.395816218489015,1.3063047206923937,1.1997529708125625,1.026425777841341,1.013108572778357,1.0449343807801574,1.076208822176377,1.0124607642619634,1.1032649345380248,1.4735578315838278,1.355223370829211,1.2174478946393708,1.4218712774932962,1.683224747779013,1.7530929546491785,1.794717757264689,2.1025626642681887,2.2309771327073955,2.112881186482096,1.8847581956467157,1.5208185509410277,1.3976332517556729,1.9097394963271288,1.868445845873951,2.011126222237131,2.0236063922225846,1.3558458624969776,1.1377644948865433,0.7805316862637594,0.6749544396691993,0.7758068670809039,1.165946977190575,1.0534190207988459,2.2115608702938028,1.4703806745555918,0.9733567961562523,1.4637288661100685,1.2611105709607668,0.7123112149414271,0.9591418863553823,1.1949893375049203,1.8689380492371441,3.3937336541298317,4.182801625378737],[0.7177521259615108,0.7131531250165805,0.6791929253723533,0.7520956597719245,0.7251760746192488,0.6993398447199173,0.6613516062019619,0.7599460406582133,0.6479851812101121,0.6564053001248605,0.6831819582059685,0.7543123399954202,0.6875827399309886,0.7113776170362281,0.8330264583319416,0.7783487376898699,0.768973951074201,0.8398324484363696,0.898319628698825,0.8395668017237178,0.9010429879513938,0.866372996736384,0.987982077882702,1.1148408920184185,0.9266454165102368,0.9063362377738239,0.8152370013544059,0.7915061039568743,0.7709839094413784,0.8049442553456494,0.8641192378324541,0.833157181438778,0.9548089343881359,0.95124530157225,0.8897390560930039,0.844889698555794,0.8154588693504553,0.7778721391707218,0.7491735792546638,0.7527776822636555,0.9535993653591733,0.832733578672413,0.8246567679721963,0.8896372166901875,1.1000421786627128,1.399710068071793,1.2921717667029546,1.2384766886193126,2.0204428806121855,2.033976493228132,1.2168148038369848,1.6603004500220475,0.958890361588432,0.9021805531109062,1.126699083305634,0.8676420141667395,0.9233916182750076,0.8818264783693885,0.9803137424368327,1.1731568299880706,0.9837813423993467,1.10003585701267,1.1772692195607497,1.2191083851438733,0.9729606254922828,0.9653562764033637,1.0577816639758282,0.9181617042709951,1.0380861784552788,0.9638988670161898,1.124616069454537,1.438687528416706,1.137603485077781,1.2199850332952002,1.0125089831393836,1.6351606032225894,0.9710599277657797,1.0121651804446394,0.9383551026961126,0.9302088707798288,0.9143186801787264,0.8942975492764622,1.1075796499208963,0.9092377946176867,0.8176518931413987,0.8129544865721632,0.8029105872068867,0.9304022354692361,0.8758760448666675,1.0404741107832964,0.9807191565293968,1.131004203077229,1.0371484624731206,0.9841211408283251,0.9186881323023706,0.9979819485848704,0.9302039945916144,0.880953875658995,0.8624721207578184,1.0537746843044293,0.8926746217535432,0.9649794602591831,0.85337616574051,0.8823942872445427,0.9323346334878194,0.7686163021474982,0.9967896785900998,0.798749444893628,0.8269099889457111,0.9136153151051147,0.7371515666310696,0.7044358216902343,0.6844361955387008,0.6973362153309113,0.6980067847375991,0.804589562538152,0.8053435159059167,0.8451973905526399,1.0150864288611776,0.8806722314083238,0.8866492156803871,0.8437455411608648,0.8097152594394196,0.7769899886226602,0.7338903339555769,0.7246320787123708,0.7063562008986377,0.7076301925039046,0.6944475217774164,0.7584186921077666,0.7674292523887245,0.7781519995330753,0.7611110136966033,0.8188075466197009,0.776454600436604,0.8226102442320233,1.2024045261532472,0.8114221297890947,0.8568672650851076,0.7607678646880168,0.9739992686017184,0.9773760966061187,0.8977137956202862,0.7825732592446735,0.7565885459286106,0.7433068197678595,0.7238913346307085,0.6981595855087492,0.7340144020282419,0.7571479562742388,0.8266278987169031,0.837001679883961,1.2049928259230194,1.908993495118262,1.1469054204885092,0.9696990572546895,0.8444191237822651,0.8541140123480906,0.7810717886694757,0.8232278365912318,0.7242613246971894,0.7195066057937962,0.7120136296806572,0.7310325741331516,0.8108131368909015,0.8308358212407871,1.000160421951379,1.2600023194305459,1.6766700198909343,1.5546473999376378,1.528685407321252,0.9515489412775795,0.9355519217552197,0.7288295727603319,0.7616507274547114,0.8225157769680338,0.8284114125299354,1.0246864582980977,0.8642872903952077,0.868611175389816,0.7487605422453731,0.7466618094784254,0.7391595512446579,0.7774410910071158,0.8061449382513395,0.8271520178112628,0.7392883273075732,0.955327330093011,2.2996135994316744,1.239955367316464,1.6831877059513634,1.8520221678256708,1.3227659873384416,1.1711926466117564,0.884107166613074,0.9425635680982728,1.1400127590794085,0.8288269161001872,0.8889305820560788,0.7986562476387586,0.8296794099413647,0.9008980721124737,0.7740055567368522,0.8687990031452341,0.9160003098558188,0.9023496989635693,1.0781492283177752,0.9820094978205025,1.1464640514405495,0.9294131103895731,1.026472512052282,1.0845314885691766,1.1168300089153127,1.085324036447597,1.2574105736085737,1.4414588027382078,1.3227165206804143,1.7029729534486342,1.328667108313711,1.213115773799697,1.2704816079223924,1.6846709675931333,1.5018768565141758,1.9345764367083993,1.2198637220529416,1.3110201739884582,1.265735173755659,1.1872698000578767,1.1017499667079511,0.9766270144595632,0.9864868347132459,1.0878824105506115,1.3842546853311553,1.1235226826330988,1.181128755385147,1.4180351133462183,1.286383669721689,1.2155246922746454,1.0205091322860402,0.8542644124785043,0.9935236767222304,1.1254350706945566,1.559717003930824,1.776754628640616,1.9071393352339747,1.6723169138677898,1.4815760078456708,1.8144851351510913,1.4632060832419274,1.3673497300059714,1.8495427363059294,1.953184252317912,1.4836745067596186,1.6746296380367611,2.061021740488084,1.865316766527247,1.5254976576868606,1.7406393344633477,1.36079101209729,1.4564017589440428,1.4079226638082656,1.3247773550527835,1.2228880328851006,1.0481156304142096,1.0396838624240552,1.0872098122714473,1.1258972226673902,1.0561470618442488,1.1530909230234903,1.5442578643110705,1.4185157479030974,1.2758933585905698,1.4972377757005173,1.7661907745558432,1.8353950582995606,1.877311070126101,2.216712278198213,2.340556953817555,2.182681946475042,1.9583231201358064,1.5774284464544788,1.4409233096962237,1.9669770659519366,1.920155889752227,2.077648731495934,2.072973118477364,1.399631985974731,1.1873954195318603,0.8388057897276389,0.7550393561895062,0.8054354464340564,1.1420313697631992,1.038007425503543,2.169506800973857,1.4466361616725492,0.9739130400618687,1.4359011246836928,1.237493003968761,0.7447278645003548,0.9685348159534316,1.2196629095440032,1.8995096824429873,3.467524379741353,4.288072097266104],[1.191219854286923,1.1442064855485767,1.0834601410206204,1.0431701205294373,1.0025056783593955,1.0321474067302974,0.8914765037005805,0.9585428159164118,0.808769654939766,0.7345248143699791,0.739758714936291,0.8718410705019073,0.7739514359230019,0.6829965368818358,0.7907657757585106,0.784208184802804,0.7498749467213165,0.7447589824104583,0.7613086708328671,0.7540300631821993,0.7818892233851014,0.7757336825186217,0.8881416745920515,1.0283838542157695,0.8553337571306233,0.8200778412456293,0.7650978013290306,0.7476115807558972,0.7730048355663406,0.8311802335298849,0.8662551664267335,0.9142282295272105,1.052586526974282,1.000083717443265,0.947370581409278,0.8322423059271675,0.8837035215103022,0.796227507949838,0.7881048497745283,0.8219650518309992,0.9437848540870396,0.8039847089693398,0.8098278299537702,0.8293608971136561,0.9971237681836665,1.3218825729107453,1.2449261908948652,1.0788713013529654,2.0251557567115444,2.0703237653899627,1.18658727002763,1.7670553176460762,0.9968516555839239,0.9286223900244899,1.1529108478234713,0.9064711848638909,0.8528495888257333,0.8680350181715677,0.9803415515236339,1.0587299762482532,0.8848410554323763,1.0591318690157145,1.117467396432865,1.1894998679995479,0.8962383184998681,0.8872727388274969,0.9576553595392857,0.8411818664727864,0.9189730191319159,0.8721528037104077,1.01425457020722,1.3330264974753243,1.0541004414122261,1.1289640309647748,0.9519000268362695,1.540315071139781,0.9160548506149023,0.9782351022667825,0.9200960569784611,0.9064111516475705,0.9874680211075068,0.9504385179400443,1.134198281116897,1.0139353708531167,0.9021058734498054,0.878425695536318,0.809631712690648,1.003550449992622,0.8302426378072655,1.0176198791914328,0.9309209179487032,1.1015831878876392,1.015604263485032,0.9957905996595545,0.9220250669405927,0.9956498218330245,0.9337674651119608,0.985741797082385,0.9856052823569089,1.2236951281162232,1.0776716410496971,1.1899507662077053,1.0407925895701786,1.0922342656969952,1.1704622024186866,1.0534537318347783,1.2904853741361346,1.1529464810680243,1.1914741673272873,1.2200562335449943,1.067821926049195,0.9379747610828595,0.8880208050926275,0.832676415504191,0.7415855159948614,0.7479227723374814,0.7685823238659151,0.7781239144825111,0.8494181008144919,0.7806905577427962,0.7732612088843517,0.7510230715965627,0.7462680921420598,0.7363260037258167,0.791682797903324,0.8504913645130266,1.021894419248139,0.9356254266957164,0.9901081480266657,1.0135390745004842,1.066986548737908,1.1091438051501843,1.05107763009968,1.0801171231714968,0.9790033912183781,0.9576390612922633,1.3318176623685414,0.920537492403914,0.9197871696527803,0.8210434654842467,0.9662588295740555,0.9550145251745239,0.8144390845358553,0.7969551140648902,0.7733439008429078,0.7892063903526632,0.7559148730327863,0.8061478334074789,0.8645015267171231,0.896053479891628,1.031479614502994,1.0461452481845304,1.4779251990383406,1.9813445923224964,1.3031889669421801,1.173797335708102,1.007362734964574,1.0528631054018966,0.936832330567703,1.0030482799849643,0.8459203439141788,0.8250013776741373,0.7894761968276837,0.7952910825239171,0.9052891240185811,0.9085714473648602,1.1527095109268435,1.4151069240719727,1.7898756639605315,1.6571639536135978,1.5908362675126413,1.0397180691747139,1.0295590517003863,0.8784017496630472,0.8933094161882672,0.9868917387013891,0.9618793958994857,1.2006078801070486,0.9907558691278434,1.0765767838814557,0.9134146232290494,0.9707002337814261,0.9974538217130574,1.0122203292694432,0.9900370403602008,0.9126456948321948,0.8347133014843532,0.9581308584206284,2.1170496050125163,1.3270120876070641,1.6780437063988574,1.8483183526087816,1.498940531906852,1.418991594187617,1.1645917746295213,1.2279045626583276,1.4141886748187809,1.2027445065691071,1.28334787114048,1.197694546452783,1.2907162895146818,1.3031018353362183,1.2017245709210513,1.3306388040880834,1.3720530352583018,1.315797778346542,1.509806736133886,1.4798936700905783,1.520672300183682,1.371715198204076,1.5321775852308555,1.5673400315097108,1.5201579786944888,1.6123806798511449,1.8050860930825763,1.9562614155233775,1.7923561707358193,2.201571199963495,1.8394653778185115,1.7341466996683286,1.7631011246863728,2.263995629827488,1.9101698570721806,2.142073576161574,1.6976728591085783,1.7687965661587115,1.7127679160332754,1.6303033574288985,1.5988772094945352,1.4884336418731037,1.4241325273893954,1.5301785681191564,1.7790402881979885,1.4948256287863684,1.5117409006424039,1.7277295255205372,1.6695694047699672,1.520254978603942,1.4339459490584499,1.2222033629948206,1.394835899310949,1.4879013625120932,1.7758509873756703,2.0216100623427398,2.0926261359228437,1.8510793170007207,1.8246224147803523,2.116353767959633,1.723839136075571,1.6746654095469453,2.1132346943632943,2.172176183337609,1.7483327029667026,1.9927840093053668,2.3301808944974995,2.085606786417935,1.8642037383798982,2.08663634076552,1.7772502684332647,1.8462976396644206,1.7837281834702738,1.7414784188285848,1.6800780069330348,1.5336132125619208,1.5196923130347557,1.6030852418746957,1.643579614342721,1.5459791559925966,1.6344702952061585,1.9983262251926575,1.862660356762308,1.7132034740957975,1.9400721460981774,2.152105608408913,2.242904257307081,2.290010193764812,2.6197793663886935,2.7434120650751224,2.6127278634649937,2.4123867342387952,2.038072908232893,1.9153700179347846,2.4324429387623927,2.3260367545426535,2.45833678152678,2.41059511192555,1.7947361882719435,1.5624404773748393,1.2136514592960057,1.0623267008482062,1.1870520142465424,1.5032395626262722,1.4206776676875752,2.2090728624983584,1.8670211040108404,1.52846775520524,1.8516795292372357,1.5281499556207467,1.173692813736606,1.4531806003994656,1.5680844370206763,2.165291105425093,3.646535950174249,4.475584971055474],[0.7262787480993689,0.7025827329921254,0.6806440984351522,0.6480317399797156,0.6698047302739797,0.6625291438030586,0.5672541782741557,0.6997895561643857,0.566605357779887,0.533847647548638,0.5927348597358941,0.7232063535612671,0.6144338554256199,0.569890422004023,0.7462758817146632,0.6928094675411561,0.6518583236401073,0.7051238016008132,0.7146410660931355,0.7039067645285866,0.7340094931015543,0.7449891373997499,0.8213338199424339,0.9894314544944688,0.8109868632984938,0.766862332104368,0.6789767345249099,0.6525097155741664,0.6882906394963608,0.7493162156666363,0.7959061032851618,0.8035580931169493,0.9367069161329921,0.9195422632258239,0.8563552617567092,0.7679134467169448,0.7805751451695678,0.7023619502854901,0.6676285539235928,0.6906296797667917,0.8582013404906033,0.7503991040447777,0.7427455248283585,0.7973266881867104,0.9170067909111516,1.2678372590833726,1.147795753759933,1.0816345589238243,2.1219781292246522,2.114249866723995,1.1263848606369038,1.7686794885109165,0.8718642247785036,0.805042155761009,1.0854236272027145,0.8253270924444419,0.8325312449732006,0.7979314259164391,0.9106075766912665,1.047091653591109,0.8742001576414545,1.0541510149771534,1.117711155512751,1.1461200385034804,0.852430997316815,0.8747626299349756,0.9597568869943398,0.790871048332285,0.8866080115947762,0.8496931803630962,0.9854428637423652,1.2966442788658756,1.0295773699014712,1.0974615441361055,0.9336345319624816,1.531134345158758,0.8953578206619683,0.9220688587133409,0.8632137558582956,0.8662231727203185,0.9125805774095938,0.8672058320171365,1.0286053929677674,0.8943935520718508,0.8031326957759892,0.760870433713604,0.7213990561169591,0.9209286028935906,0.7790640396007151,0.9624435783244657,0.8951838381902506,1.0670487871844485,0.9628316261491051,0.9378924326045494,0.8529874930613726,0.9525534947260341,0.862514386681082,0.8692464247158128,0.8551495056222731,1.0872004777151127,0.9198940523962107,0.9807573162736453,0.8762726974006851,0.8967972011300214,1.0078550670355968,0.8173569245025031,1.071604199509398,0.8167095924441563,0.8357660797638298,0.9689518382235424,0.7386795045119222,0.6644120184360096,0.6238903667688861,0.6169462299000384,0.5605304907172591,0.6045479049150272,0.6354411779097835,0.6487764902725756,0.752535425411475,0.7224810524416799,0.6925052922081654,0.6342891026431781,0.6216694744668129,0.5622993916942685,0.5747945127044943,0.5966499875488535,0.6732801546994055,0.6329124276567857,0.6558635475118483,0.7496462624376852,0.7151285310735856,0.7768219835380933,0.7186471873230257,0.855242216700446,0.7119739121431901,0.754370644041908,1.1443342890014676,0.7011432129788475,0.7409745003964548,0.6731198343936291,0.8148881175994489,0.7824848272795848,0.6915503123399803,0.6404208977500941,0.6114682741668677,0.651739803681921,0.5996946565807268,0.6444982003113344,0.6717332889284624,0.6866506939498723,0.7948278021843102,0.8076733936063255,1.272937393885315,1.861071311415881,1.1343904892788026,1.0022516439017943,0.85156766253449,0.847660689724626,0.7783553108318021,0.8066639568758365,0.6656371680970145,0.6829550413751868,0.6188368674145331,0.659051856203541,0.7828370645886448,0.7250645253878636,1.024777870919052,1.2920219706950553,1.6817259962470357,1.579966979486951,1.5322465705543573,0.9582337493816748,0.9524919922922787,0.6828047782137273,0.7084418088997101,0.8416648190394788,0.812856411271626,1.0841137039988942,0.8431415227665364,0.9489097283393899,0.7368002560439681,0.7523702142836641,0.7438819181279377,0.7379331886285767,0.7223174554605426,0.7254707321903395,0.7159708843350927,0.8545674319212034,2.20565379034962,1.2730537579683106,1.487577567149094,1.6701209457839357,1.21197823675345,1.0996732391010402,0.8182081581037783,0.8667663700324642,1.1200153699311464,0.7883726434236636,0.8601656721162302,0.8175203917516064,0.8681582987975414,0.9424792359868397,0.813625761070896,0.8965337072083687,0.9454935779584291,0.9067647193013754,1.1533056727466215,1.0366156189975566,1.1093963624961836,0.9537098334898517,1.1321765143069455,1.092359691646314,1.0637764090451156,1.2427892848091542,1.4101368260280773,1.5930330719790697,1.3322276962717845,1.8053099121578442,1.401442803534161,1.2411607407369507,1.2715279682175387,1.8910043281220748,1.4438735214448235,1.8929011379104979,1.2565189965479377,1.4095972122910838,1.4079001390059682,1.3226746472107782,1.1868761982565963,1.0136767740271055,1.0115853432986006,1.065229027858365,1.3110876944581908,1.0479513271632501,1.1573583303470112,1.2653445399309713,1.2086629088341965,1.1545838349368356,0.9941656288237012,0.8429035472435826,1.0336682349829533,1.1599905582629328,1.5728641615521295,1.832957113548702,1.9529775247372205,1.6401770752165252,1.5558074532340602,1.9188980636660742,1.5420679555385832,1.3961718271972685,1.8594222568264689,1.9410941160683923,1.4377460634484567,1.6300323476599545,1.9939603564968675,1.7410592067441564,1.4339352165237724,1.6563143616998588,1.3285352449882881,1.4432655309314144,1.4178831698740215,1.3569689119817618,1.22097710847062,1.062017025122616,1.0560998414426062,1.0965612600596057,1.1463765482485873,1.0606146296728285,1.1256597686873644,1.5092478551526354,1.4233379975277205,1.2593849324865563,1.4459980053211194,1.7291944324641444,1.8266284704422842,1.9061759296806273,2.1985473927669408,2.361586352559721,2.236676284986214,2.0748466030914874,1.6976456623078757,1.6132704492959318,2.146814905256859,2.044600489883209,2.1535094090307303,2.1227131877899583,1.43461601589433,1.2379555263029163,0.8222814825505165,0.7253710006932583,0.8072020387090568,1.2351820092600516,1.16439921510917,2.1261020778775115,1.5631207040903847,1.2203883297026192,1.63825668937631,1.2527087953337714,0.7798864720130375,1.0311141089543687,1.188329327601925,2.040431052008064,3.622762480314123,4.433794739399689],[0.6276400646719887,0.6015215108298863,0.5974231348980035,0.5998679833989309,0.61022974159313,0.6373844650011758,0.5290316869528492,0.6465588263773964,0.5523706034747301,0.5633385322631588,0.6224633837463055,0.7276535082789384,0.6495493425253321,0.6193835225375836,0.7889683373771057,0.7505772673825278,0.7072900382343498,0.7868244473872137,0.8464054125722212,0.8067853177330293,0.8696420453715333,0.8687182986430475,0.9603816256381709,1.1253734148854067,0.8859003541266344,0.8647795400943211,0.7541585937241146,0.7200873510964612,0.7458667504840402,0.7686131051007565,0.8615813974651014,0.8466841670426583,0.9964488482365391,0.991500520468347,0.9160055131945801,0.8156510432974707,0.8111131911559697,0.7417456661304558,0.6936600520241195,0.7128221131772476,0.9121092621801778,0.8153790188216778,0.8123917948517442,0.8581164289656122,0.9559349018954846,1.2661506842222838,1.1701240721799895,1.0841439855882191,2.112782538632996,2.000757508884406,1.091940605504817,1.78160747598458,0.8800398174653477,0.7831267720570311,1.0990211083177863,0.8708042066705833,0.8809310790726864,0.8429089897580672,0.9671931497792738,1.0752114075340888,0.9408140112065791,1.1570111455378544,1.195182374230703,1.3081531077634565,0.9823937714994252,0.9788091535881055,1.0524389348648,0.908995011307805,0.9899625624277154,0.9497659996050165,1.1121812352937015,1.471146032749515,1.1367473482092034,1.2272060182654347,1.0414841533610495,1.6461867386814344,1.0201872340963738,1.025813748714279,0.9491716926930822,0.9233980293266647,0.9519239930880374,0.9113444706404378,1.0789771438356086,0.9193557684089066,0.7999894792320998,0.7749381187193046,0.7781556065538665,0.9560568287286374,0.8622797998153736,1.059577390359145,0.996188978799089,1.1639938352516264,1.056569702250121,1.021230076897687,0.9229272391725757,1.0187864210974518,0.9092542413092193,0.9031130190385163,0.8591163178044271,1.0822980668214965,0.9122564872227598,0.9833844487831263,0.8640438377151848,0.878979215114266,0.9642644785359388,0.7803483724934621,1.0205655990808398,0.756854073366775,0.7794523123625373,0.9241898881232798,0.6720627287481665,0.6208307822026496,0.59964984777284,0.6031825715219439,0.5894394724120198,0.6235152712735381,0.6810676958615117,0.7160306683908565,0.8764423905211451,0.8537064502961381,0.7813074432878513,0.7105625826030785,0.6784517330924787,0.5993471055337651,0.5817850350476285,0.5878293624727846,0.6262094818676175,0.5909452684871789,0.5711733492906669,0.6882344971297388,0.6342588485807579,0.6747933864947898,0.6383214984711683,0.8325789522905789,0.6577729444760964,0.7166126561105036,1.1227256116635038,0.6627629720926389,0.716714435174213,0.6931802474070623,0.8203530919986465,0.8307732064610267,0.7394733331079287,0.6776870496914545,0.6531039592816978,0.6723273668413813,0.6115016995130566,0.6414578271023866,0.6494883316454185,0.6610873657642218,0.7490546169393861,0.7783946922732234,1.2573373440763307,1.953320764625753,1.1293419636685507,0.988963977687302,0.8391647439897596,0.8251633370031153,0.7719912545139319,0.7851273520153519,0.629535456189884,0.6762077886918197,0.631092179133598,0.6375918634164748,0.722536097835849,0.7666821471199831,0.9433546625454262,1.1942719968001894,1.5656530398363178,1.5196012708396642,1.4606573267525713,0.9273576310345287,0.8992827178173312,0.6547658589426454,0.6959510838892191,0.7926273200754652,0.7907422597537045,1.0473341594842693,0.8380547909524155,0.8823116180981058,0.6900118638621171,0.6996901009857235,0.6843210248147381,0.6613827667450052,0.6526402276398068,0.6789671023683778,0.6943552271578947,0.8263120990532054,2.202990748471492,1.1641224317529864,1.4854559134220868,1.7158451791237328,1.1913729207493382,1.034610747121172,0.7441363017012599,0.7832838224654454,1.0799754685285599,0.6982462610073319,0.7589378686268371,0.7101704091024665,0.786810616320169,0.8701078538499801,0.7256499028039528,0.8176514250012401,0.8736363548870673,0.8322308227277175,1.0895107731015747,0.9758231075919965,1.0538845792463927,0.9098504493121136,1.0974381831741313,1.0554175269288726,1.0120403659044253,1.2211031228207783,1.4026662215091232,1.5705905541149472,1.3099358919868336,1.7619523455238153,1.3556151674425148,1.2088951858078572,1.22814600254503,1.8744768232370446,1.4313793518181865,1.9224850831465066,1.2303489136026422,1.3859876117716012,1.3606402509778686,1.2957558376527056,1.112173476984042,0.9287492450540544,0.9456397905992764,0.9739955357165268,1.204729871558327,0.934592342539842,1.0942658683454312,1.1550343654506707,1.1228411964902354,1.0656392426815897,0.8925721643107886,0.7720498079393815,0.9924942269564202,1.1112041965583483,1.578938257365559,1.7958655790186269,1.955643489452757,1.6210986364014437,1.5051427624527405,1.8632217938524083,1.472864862211517,1.330055464997581,1.791812061844467,1.853857778952217,1.3559998727850016,1.5564969327624403,1.9004906706102562,1.6233688971964166,1.3652078078525363,1.5832573497597902,1.2772597486411943,1.3965659826327204,1.3687408509622758,1.3224896011920846,1.181072242906381,1.0129712242635014,1.0092627284564837,1.0424742812055487,1.0944639197534922,0.9906330248897787,1.0394885268964849,1.4374887660370907,1.357567165375064,1.17441119031228,1.355813517215932,1.647058824262646,1.7430010688698048,1.8166446270453445,2.0926629992526875,2.2676280893832956,2.1859751749345957,2.0158147507474844,1.6486374848688012,1.5641796834460011,2.087135334963541,1.9849602361685097,2.08400961790699,2.0746580137362445,1.368627355759767,1.1758384773413273,0.7149239119176312,0.6402328912508597,0.7125665980147555,1.21905225839537,1.2138929431564955,2.1934598932351363,1.4498184536536567,1.1970172724830546,1.6742083496884166,1.174367546585548,0.7315024086043105,1.0228125414949092,1.2268608953667155,2.2383247563156985,3.924411063924847,4.7612478495648],[0.5437286979985965,0.5384567713767946,0.5992697709450238,0.6518520324674513,0.5857257142552951,0.6233923372171074,0.554147772374544,0.6144655936805459,0.5940525938126094,0.6261413777790802,0.6803078222078168,0.7641686776815534,0.6994978140664012,0.6930185922966379,0.8421764895847006,0.8121801873540762,0.7693576733588324,0.863145120705759,0.9261896178217481,0.8665656254060319,0.931814277737686,0.9327927376888855,1.0227779723785348,1.1721228803689605,0.9591523192365886,0.9410043482061935,0.8231826117187374,0.7932100188830374,0.8155295896932778,0.8160625174665831,0.9128491010665777,0.8773108793445245,1.0145402862725055,1.0268573809296708,0.9576528163625152,0.8752260115366602,0.8660227553173651,0.8321910720565822,0.7777373765588692,0.7754753630994692,0.951650120261122,0.9068563535138955,0.9159289217748209,0.9456841477750859,1.08547238773888,1.370686817921231,1.3007424112474273,1.2125935875479985,2.108225028595491,1.953214923430514,1.1741581293660437,1.7603685769994533,0.9713977619908855,0.8804416006106304,1.1324705614024417,0.9224246254230247,0.9717747025373114,0.8996083988574545,1.005646232425144,1.141759176703879,1.012033575602617,1.2040509107363615,1.2419908056644646,1.3724340213419162,1.050614338162869,1.038678565694452,1.0984961730172589,0.9665511935934155,1.043173217102108,0.99716560144154,1.1559226615475553,1.4826572475782553,1.1709100301320174,1.2674946114122194,1.0871543550543006,1.6536152702796314,1.0728910802238116,1.0806156840801107,1.0019968160926964,0.9636481867437516,0.9902255270631879,0.9581885572767399,1.0640280306399768,0.9079663758981454,0.8538377230058494,0.8198743853446377,0.8630843829353356,0.9733973636610714,0.9189491937847364,1.108513295052107,1.0456050530691687,1.205267605354019,1.107999107580613,1.063134845735114,0.9663914170974967,1.0510270127908512,0.9510201986386009,0.938445784241727,0.8818909156404817,1.0716321118899055,0.9006563540741483,0.9286029779794976,0.8369853775837477,0.8376725266310966,0.9519851824546391,0.766925240105869,0.9486396916140208,0.6691921442831036,0.6923438339357139,0.854789541000107,0.6098454968232968,0.591825815629554,0.606380226962791,0.6254215872769581,0.6545110392920946,0.6994386595451056,0.7631531624496003,0.8108601781695679,0.9590552203846779,0.9035180197450292,0.8564298665977155,0.8108728593081176,0.7778900742915246,0.6785548701977447,0.6254229510696493,0.6187033386763324,0.6692740911410647,0.5908521425262486,0.5380274829620897,0.6295715773884055,0.6138272626898948,0.6298758381710718,0.593012295646135,0.7669449385551806,0.6352236985082778,0.663747727074701,1.0395876861799995,0.676428573271382,0.783027290592223,0.703473524605017,0.8882818950726248,0.9116682329905885,0.832567329758991,0.7548034274254336,0.7206453534715922,0.724799850264874,0.671488820367293,0.6943742112464538,0.6508138032789095,0.6581221416912183,0.7063707956260931,0.7342355755363251,1.1854910041834943,1.948602729398277,1.1556270043427441,0.9529482430421529,0.8090332157742639,0.7951477410578176,0.7606349274253312,0.7558105532205189,0.6487587359609455,0.7216718669359042,0.6724707432030567,0.6939755411256419,0.6942874660915904,0.7763595233789219,0.8325585988238615,1.069826922011897,1.394608314235092,1.3883954254135034,1.3141769386301752,0.849565872026291,0.8081947341503476,0.6916153737335068,0.7128695176223598,0.7778850218203343,0.799333535864829,1.0304687490484805,0.8314413846415123,0.8734849860354225,0.7040628778441781,0.7082384104780943,0.6860911788890969,0.6635114945726122,0.6752040869876441,0.7325532481549198,0.7543424876820994,0.8310407004061424,2.180925511458764,1.2182006348752938,1.4343906651192506,1.70795577223733,1.1821477284855313,1.0181782257955754,0.7175618183158088,0.7619003387123388,1.044030992662526,0.6548651330744582,0.7371181262882258,0.659724610975248,0.6760337128615451,0.7282195789076517,0.6410317298107957,0.778656244138388,0.7385432217432091,0.7087107168101994,1.0925594891236945,0.9154520493636302,0.88564917106722,0.8385695804638554,1.0558440951257801,0.9543347085442663,0.9042623101321654,1.176608154724315,1.364079641489372,1.5444024459162289,1.2768616425798458,1.7463681994852935,1.3215577273232397,1.1235569270783,1.1258769754873605,1.8421028892191977,1.2821536299097969,1.7544204508724663,1.0173016930867598,1.1690998487050097,1.1700218580255084,1.1286710873645693,0.9309067436315557,0.7906921162325559,0.8195832830077513,0.8907527996361498,1.1669584622510139,0.9072262200843991,1.1010961339515388,1.1654193257304117,1.1294294018200746,1.0565455199950557,0.869699910766555,0.6457714488731007,0.8234338201617307,0.9476546830603686,1.4150076025381948,1.6478494307554714,1.8242886613623042,1.4228175402226577,1.2980481064738638,1.6910644110201112,1.3360077122958471,1.1499914090350496,1.5862747259180492,1.6610614460889284,1.1817127092993611,1.3457802708472164,1.6823917189774367,1.437949599551037,1.177226026023231,1.3747108625908193,1.0915675831557192,1.173893347016341,1.1572462521320666,1.1082933878491938,0.984583607266924,0.861812114673763,0.8303342990938141,0.9080021951328866,1.015050907080302,0.9261616474899199,0.9511534370591107,1.4128343805059282,1.3678233388214638,1.1700370531899507,1.3352351906071234,1.6263602144069207,1.7672405748260607,1.8276372580314915,2.06344434567267,2.261147489533011,2.1794689269289016,2.009521535949414,1.6482995721283529,1.5501629728220667,2.0819223497480044,1.9937512416308916,2.102554295103595,2.1285058399600274,1.38733888147332,1.223614125722975,0.7099288018431413,0.6219607724732646,0.6531647464848671,1.307158105072042,1.3029941114354313,2.3353640416897883,1.4606013717093707,1.189394891361344,1.7381547315211532,1.2049594262137224,0.799683834844176,0.9369987498792386,1.1989626159888864,2.5349263039536147,4.235416617540021,4.980505676558199],[0.6091113574622506,0.5754399339105616,0.600898337619043,0.5159355122802927,0.5872417466347798,0.6049898706484675,0.5329257794105012,0.7069812061027979,0.5893368278239658,0.6152045615948535,0.6958330020284316,0.8068097265280684,0.7358890753415124,0.6724231289384722,0.8660910503236573,0.8307146248023334,0.7760679941275185,0.8558158677967492,0.892862630584768,0.8751113572502858,0.9292495807158544,0.9462431733747475,0.9650786771788539,1.1242775660128492,0.9091495142346929,0.8831270513477351,0.8047055539555055,0.7735310364312235,0.8365015838196864,0.8576525282310615,0.9590095631825413,0.9483901578065786,1.1020170637144433,1.1172239664323516,1.0290783838564619,0.9444414144713769,0.9166836046375314,0.8471221964434467,0.7904022895543789,0.8266857429003481,0.9641329169684929,0.8832929517809442,0.92088727673299,0.909468078896837,1.0070632050817312,1.2190514895926678,1.1388004465610984,1.1810915396186041,2.101772730573636,1.9512238538810487,1.1783289424294385,1.7319998738020148,1.0021338394495674,0.8706377287458682,1.2559992254646886,1.0394503251521106,1.019118921097354,1.0234610763618135,1.1607985977645383,1.1858244157359767,1.074764833376321,1.2580207149717253,1.310110836975386,1.4046630537703764,1.0765057721371871,1.0789360720296335,1.1066411581470847,0.9824508747460037,1.053612259786405,1.0105513704485756,1.1393834644129737,1.5741570933602114,1.2465287178535776,1.30413514956819,1.1128995018821586,1.7004204987867673,1.1189384150903652,1.1577366510556675,1.088034967424975,1.0929599454062393,1.0886742837761143,1.0178377712222635,1.2063847165568302,1.0906906327562946,0.9089056746441091,0.9115520080242892,0.9059651148321429,1.0608755042380085,0.9839729558011046,1.1893467888738456,1.1221812052787101,1.249337524343514,1.16393321398241,1.1384623140706625,1.0291111526314747,1.1216202558524182,1.0236822734169557,1.0000873084224924,0.9340890448765383,1.1639203065449617,0.9998297443916103,1.0641091682021433,0.9750515744075673,0.9737476046414041,1.0913354360567415,0.8531751377276435,1.105633560319974,0.8372105223389126,0.829395081220285,0.9566007421367287,0.7117723148813279,0.671893418547138,0.6330976299793978,0.610042900384039,0.6197566638279112,0.6537032931749667,0.6966351634013976,0.7010385276875986,0.9116421559114126,0.8575975827130289,0.8161797643778829,0.7534193891359982,0.6714415713032054,0.5914504437615224,0.5593167305461829,0.5480272920533447,0.6454271331825135,0.6023445920165345,0.6070334002350843,0.7388370958590023,0.6570279688831101,0.7342604597753046,0.6729645859838576,0.9218772255147124,0.6826036006314058,0.717466337038767,1.0674204000076077,0.5959173723468701,0.6324722409016069,0.6423261516741642,0.7631642136553527,0.7504567429070633,0.7173817571380314,0.6630814642027031,0.6859915856228682,0.7357041365887369,0.6627555408444084,0.6989713803286209,0.7250787289786278,0.7296450207553117,0.8295582503530288,0.8504616627165208,1.3396145585946253,2.039214549976844,1.181930596423182,1.0675520492412915,0.9223821508392552,0.9272130683641543,0.8656577300167515,0.8712361843652798,0.7109243469352798,0.7608270732158878,0.657105341329896,0.7245674078381121,0.7739376562920292,0.6885782594218021,0.8814901676196417,1.0836086607612097,1.4396174537809978,1.4158300759420408,1.376232856667349,0.8970155830501689,0.9228338855153932,0.7310788441998045,0.8040391332988384,0.9067254629310119,0.9010164417260712,1.1305988457585423,0.9732455923704358,1.0075543482449185,0.7681690305836343,0.7936202210658961,0.7712786964688011,0.7278010525043457,0.6929798507170957,0.7443765771747836,0.7708486772141244,0.9004393497629073,2.1122980465974766,1.2918168583290381,1.4098282150361725,1.6127265820119117,1.0699383587723572,0.9575102302795245,0.7297493189101671,0.7560553480851093,1.0751197987514078,0.6933505204718104,0.7286214977851768,0.7242181982873762,0.8115579709623225,0.9162213563056696,0.7569910660409597,0.8201897899076697,0.9195105007765895,0.8651947312256757,1.1089976381883386,0.992849615073444,1.0797443373290556,0.95666742015944,1.1414289522279921,1.0956452908340757,1.0375039253673035,1.292331680313071,1.483860218354251,1.6103317249015077,1.3641990728151359,1.7374782573444694,1.3578908514013084,1.2273796981710257,1.2386957561609948,1.9525218568070075,1.464125918848665,2.0235775663926936,1.2797891849785268,1.4690779740405586,1.4412740738130168,1.4118510912512847,1.1741856439999987,0.983592159453669,1.0405366426305656,1.0374429719416034,1.2066158623410195,0.9669877303763154,1.142534218259371,1.1028806782353349,1.0209319533726886,1.0107804842163643,0.8663410078067457,0.8281656686860541,1.085313122504513,1.2088975901254437,1.6744603019908297,1.8751173470081672,2.034241724553331,1.6850307149057275,1.575715333573325,1.914491222866958,1.5138919310316614,1.3616462762906896,1.7915382832257023,1.8280726263594091,1.3390211285834432,1.5469667148482924,1.8506568020884238,1.5429076641100798,1.3375821602602713,1.5514673404455528,1.2950638597276394,1.4302204563887664,1.4068472941992713,1.3828087343031958,1.2381703126393808,1.0405609765716965,1.049145753975492,1.0620075093849684,1.0903784567303334,0.973011161163945,1.0246339123932005,1.3407270693281406,1.2960238708421676,1.0947183987238818,1.2351930361939851,1.518970395936126,1.6798355878355204,1.734710821390941,1.9617512489156985,2.1459665784162025,2.0814359596077994,1.9532597124791593,1.6201523705929053,1.5603891217807462,2.0362427564558923,1.9049406328281508,1.976230172713841,1.9744443592947098,1.297529809417538,1.1722436083181882,0.702200100620112,0.63627488502331,0.7637494567428803,1.2503576013405706,1.295532046994624,2.1758425664434884,1.4071226037906412,1.2853846503195705,1.7176386304648386,1.1333228448034667,0.7665027740733857,1.102226573928524,1.3188189403951218,2.339626534203397,4.06902680233867,5.032302658745137],[0.6290949968797531,0.6055888126998746,0.6022135969308424,0.5651542126915361,0.6168150151014046,0.5987635808880031,0.49857971631513154,0.6844706538974433,0.5109964226701671,0.47992027750517885,0.5349760907113773,0.6794755422637407,0.582763641916491,0.4868072360630379,0.689783529285651,0.6484448948635539,0.5796333724021407,0.6448685589719951,0.6547278089649107,0.6578889564577705,0.6965826211010409,0.6947287213930566,0.781883156481886,0.9546080594393512,0.7228344159032286,0.6904875104682646,0.6152841552649339,0.5791639890637843,0.6356610129162715,0.7069561732994768,0.7745912708666378,0.8018135425415029,0.9394412799244891,0.9251515627873286,0.8468239061495745,0.7464854263328281,0.7779273508656415,0.6706582418877235,0.6085065652518367,0.6682135493209593,0.8274661653832746,0.7060555833522475,0.7202172852233892,0.7391297780172417,0.8765934204022792,1.1732341936065458,1.0642204605265109,1.0515039118695413,2.0862227201623527,2.0071666833455772,1.098633225830317,1.661225400509663,0.8916264829423027,0.7542465672073112,1.1678745356159734,0.8735407706326701,0.8384896272107488,0.8531202772911708,0.9802806326821367,1.0086813997950064,0.8455966242945782,1.0861017097054915,1.141154140097332,1.156335682950811,0.8294548032707414,0.8741029629922935,0.9044776010287955,0.7705613578946162,0.8346017584779947,0.8158394561549237,0.9391825693377727,1.3461118774187883,1.051089511835486,1.1198906228193637,0.9182229439602331,1.5382582103659426,0.8911785627640667,0.9208676995504051,0.8672432757031036,0.8939688025648304,0.9454091517760507,0.8785368464613259,1.073613285241422,0.9343700126690312,0.7980242732937846,0.7845672950668994,0.7232397358882559,0.9100743474367664,0.77878762029007,0.9873662393251128,0.8943429346149129,1.0596915526663735,0.9495298648031271,0.9288607413360337,0.8338319370298923,0.927086325567531,0.8481073915288981,0.8495723423313898,0.8297828217761907,1.0551246842474942,0.9164409710209837,1.0031972982438355,0.8872661438974898,0.927128950377205,1.0816786496163775,0.8476171010489356,1.1407136303074448,0.8268925303029839,0.828494553196973,0.9730721333145192,0.7331577530468405,0.6252997421526747,0.5716743495511758,0.5551235964769996,0.5077514751330439,0.5160271910726999,0.5286875606232734,0.5162412324315445,0.6452350678635191,0.6271155367445773,0.5828318267190713,0.5326124120792854,0.4838437250941701,0.47093852680135134,0.49698900828330833,0.493308224486084,0.6133022457205429,0.5912072125063079,0.6282938213530073,0.7349121289355993,0.6798551916804909,0.773871760699791,0.6688908298287057,0.8903666310056302,0.6322041371057924,0.6554138031931339,1.020703703171795,0.5875387090008687,0.609288863945928,0.5683157074454628,0.7218197811117458,0.6497116451884278,0.5540886491145617,0.5049135257458013,0.5202121877598658,0.5939289130540629,0.5317148727611885,0.5934387071890831,0.6439392899477501,0.6432648272298148,0.7666725542596815,0.78437713214141,1.2933308651060185,1.8650203960827896,1.1044571104899004,1.0014488044062686,0.847821527486913,0.8592181884216169,0.7684304911263463,0.7945683649747978,0.647483215973959,0.637237217348189,0.5409550766655907,0.6127855705734088,0.7339675925821993,0.6307633020622084,0.9065227839019624,1.170502941708217,1.5293743852693402,1.466425274948184,1.4093161720245273,0.9028446178209949,0.9152057540353327,0.6424007965080137,0.6872766910629718,0.8367231656395956,0.7948316540521371,1.0778164133723498,0.8367689759974117,0.9581373716369327,0.7218290748065487,0.7579702923262616,0.7404393591798447,0.7236637746021433,0.6782990469329409,0.6989081409161274,0.6715922351421304,0.833268240709232,2.0635375645068628,1.2929605589223974,1.4167808275330391,1.572279004867426,1.069618699133237,0.9470953947137883,0.7213141047955414,0.8031100660442337,1.0884232853872216,0.7433993105029525,0.8084821127653748,0.7721268518827095,0.8412945425956214,0.9014361007162658,0.7883721467454801,0.8908921845827827,0.9158746024241069,0.8654619235973069,1.2045573035863792,1.0503777934643546,1.0398636819191989,0.9917046497354468,1.221179457930454,1.1263277090532005,1.054645802488404,1.3864180090968496,1.5627331360591807,1.705042745195784,1.4001257774959481,1.8666528086868324,1.4386667739079926,1.2709653861779382,1.2720773936867926,2.0616428021294513,1.4203307525633324,1.8708255898315536,1.2281654397059205,1.3909565752866482,1.3718061548834752,1.326998103725007,1.1538379446759686,0.9767864617298145,0.988567996203331,1.0345577362480458,1.2689341348106045,1.009598202362003,1.1414375093278144,1.2087587245712095,1.1732801771951222,1.0940647616388983,0.955448154132803,0.8101790527781774,1.0187806493905125,1.118261494866388,1.548526608331722,1.824784070091714,1.92672263926007,1.5741758175389646,1.5117024003518793,1.8623657205579216,1.5087739249726808,1.335128047436794,1.7539062722299905,1.803567539200307,1.3136970198053524,1.492423888237726,1.8089436035774273,1.5269212832458605,1.290686397373173,1.4922972898049303,1.2386960946455172,1.3579322545335981,1.3479899920457659,1.3130967921283383,1.183034651583621,1.0429610913991574,1.0333375175393158,1.088794601275571,1.1515011987329036,1.0474247110250745,1.091024331765331,1.4491615534295001,1.4177121259965801,1.2353444602837118,1.3561771385917276,1.6864689451125592,1.8031214617453968,1.880561190857863,2.1242456621790713,2.3085725027636714,2.239779910890324,2.107764430199312,1.7507370662580384,1.695982796344616,2.18977457351753,2.0611317447045425,2.1292131461799477,2.092379440425775,1.4283810382002262,1.2656939614076086,0.7791625539530913,0.6657517459286666,0.8184494692022242,1.3218434023194436,1.3249025591080046,2.2211002520361784,1.5859379879508697,1.3846627629833914,1.810798518975702,1.2758507458366868,0.7443034396613202,1.0643198625233805,1.2048502668945482,2.1829104194275395,3.85958544663637,4.734784549473251],[0.5078935003858545,0.48996324911764366,0.5299564668808283,0.5314276989383072,0.5324821028519752,0.543945072305734,0.4294544712357704,0.5531403970843358,0.45288194076535315,0.4527309021649879,0.5198095317673961,0.6369400245953566,0.5522898835592437,0.5111429793378898,0.6923093001871,0.6386778395535606,0.602327825754724,0.6718516328239779,0.6893671361607877,0.6697771277096338,0.7098269345232416,0.7124002359696452,0.7944765567055122,0.9830685571536396,0.7632880389907222,0.7257772872190613,0.6389663529398856,0.6039088387693301,0.6426741940927287,0.6853569756810515,0.753386208204426,0.7378253623845338,0.8787525832815173,0.8664238215098107,0.7943456373604765,0.7067625387128915,0.718946999575752,0.6465554566402356,0.5999646593434227,0.6349585867978096,0.818001925682999,0.6837745538048933,0.7026594735657535,0.7290720606434519,0.8772186938991058,1.2061198922950673,1.0929937184536929,1.0366608391021326,2.076830624567149,1.9849476913520474,1.0631226215415261,1.6719201028883697,0.8599529713325281,0.7432358053165623,1.0657226787923642,0.7904272427123423,0.7926593912183844,0.7676141322136293,0.882539882638611,0.9906573375282637,0.8311863264054702,1.0304482687545395,1.0936844678324544,1.1406801050274005,0.8256191326049914,0.8537477964030424,0.8978962876167506,0.7651368054053234,0.8354228997627063,0.8264506114881565,0.9472791859100899,1.3172202911368802,1.027798175494771,1.0936671611563697,0.9169088560670551,1.5328557659639144,0.8736832785087534,0.8908000128452593,0.8188155901599486,0.8075613530326875,0.873238529653377,0.8383028151105798,0.9932826492901224,0.8310446861118768,0.7386270095997847,0.7051632458642301,0.6911709512053023,0.8517456512731564,0.7343101693834371,0.9421109047418489,0.8587840003272618,1.0322843715955645,0.9234569197310708,0.8855479962974635,0.8054728663679386,0.8960517802884602,0.8236049789765099,0.7958719660914924,0.7673174225207302,1.001872354632289,0.8171538526718672,0.891156501348643,0.7719675709558174,0.7934779053780194,0.9216183397696079,0.710332895331877,0.9547556642449332,0.6430059412288947,0.6622558578755712,0.8163700131748307,0.5599930341534592,0.5144312397631449,0.49354022926482094,0.48598699332290957,0.48276298719808436,0.5183725951445306,0.5635802649968337,0.5842355431111962,0.7236811337919391,0.7020726704578262,0.6505255297269641,0.5960212418578686,0.5558302672966341,0.48463681869176,0.4743866732595784,0.4709650031411061,0.5642791279497122,0.4832963073141667,0.464367947520012,0.5709841043268257,0.5324406915797787,0.5728730808575544,0.5208153388123634,0.7357854925304478,0.5488883919523291,0.5974130754264675,1.0423726463647531,0.5694517578338908,0.6437955867826735,0.5754202314021182,0.7460357845752826,0.7219190075359867,0.6359779781123952,0.5626086336165625,0.5405174916584743,0.5706305593229897,0.5132724225470795,0.5548102290516638,0.553239923237826,0.5707994608776312,0.6722772361709202,0.7077015602386936,1.1924949286261284,1.8935286340310105,1.104970572190893,0.9220788058242494,0.752494523537224,0.7394641970384601,0.6776435863929414,0.695921327550763,0.5437371460790822,0.5836607167470549,0.519029180840312,0.5533580931836621,0.6270772650305397,0.646078671406893,0.8463428296946385,1.1076855405806532,1.4761699860268613,1.4373986175773625,1.3708490751701052,0.8351468303275967,0.8036046784707017,0.5571798436860762,0.5949510107546256,0.7261350380378366,0.7080293972052197,0.9793957715096595,0.736993297747368,0.8343322467685504,0.6020265309219724,0.629636719544472,0.613652971635879,0.594144722393702,0.5798474840930663,0.6064319980480547,0.6097669001711606,0.7639731284213066,2.0922009631872314,1.1888524635776831,1.3459280736790304,1.582797865612566,1.0762296181750535,0.9427825801118849,0.6405625788839591,0.6925858169984027,1.0187057143967397,0.5965845904544378,0.6671720042522428,0.6071511797956526,0.6614314096882188,0.729720984576955,0.6087677873085703,0.7290093069544838,0.7319456048067479,0.698298191631748,1.0384548659426285,0.8726021159415631,0.9012301123698688,0.8091842918987795,1.016630259566587,0.9296273647791166,0.8878404405023116,1.1501082102958977,1.3308039012269215,1.4946658735982197,1.2433355522683676,1.6753626284232381,1.2720575219935526,1.0885716342640976,1.0919246610724764,1.8188970687079993,1.2658747652480642,1.7710559901806118,1.039533888991958,1.2155757319605602,1.2294827520329443,1.1693249752701622,0.9668901778165461,0.7756362307422427,0.8010522133958032,0.8554624419250844,1.1024963462199449,0.8360554369941636,1.0102206172159367,1.0904518151541907,1.0512406052593628,1.0145150405764305,0.8121014853478203,0.6535168160214228,0.8428224371991698,0.96662117583579,1.443880587154679,1.6714178578536747,1.8372398505874274,1.4707028267265825,1.3450583457252965,1.7284992928406426,1.3677922052491247,1.1880459194242525,1.6245007254638313,1.7045800066061831,1.2187745438518909,1.3762502013668565,1.713268851661254,1.474661744999296,1.1885304378033217,1.3855408873666228,1.101616219644294,1.1915283382900763,1.1827411113344275,1.129694823104235,0.9942999043803695,0.8537436359999023,0.8310976597314669,0.885350627971302,0.9726759723634507,0.8762359220899579,0.9072568394267638,1.3361943797897269,1.2879855642262936,1.0990975007279606,1.2638207638878776,1.553313776370852,1.6774602138394685,1.7364324794171948,1.960410059180891,2.1476180142867425,2.077068791707591,1.940097760183822,1.5863547013855335,1.506361667422664,2.0273418108699,1.9255730837148954,2.0117400736785727,2.028992542778813,1.3114730129557646,1.1481794679870436,0.6324559093194299,0.5486636473491735,0.6112239899734112,1.2499313161556698,1.2495821663578095,2.2757410844788284,1.45826663190061,1.1557116008338275,1.6918477065942037,1.1772033178757364,0.7262785803445627,0.937195055463076,1.1961055935042464,2.460575780762617,4.149189990846498,4.860655783057343],[0.578422716142781,0.5652588662866393,0.612189810322422,0.5713646335297344,0.5632313207946545,0.588018276871855,0.5164356378250364,0.6052346986659679,0.5473459177995955,0.5604912371935233,0.617210242577403,0.6994592808370811,0.6381453840993883,0.61762424024538,0.7848921536692115,0.7315287760921064,0.6739234085974738,0.7443970416561823,0.7731239481246459,0.7543301222037234,0.7965707034023078,0.8113899104881462,0.8715053535362719,1.0464249193821904,0.8138459264317041,0.7834300148765255,0.7108122625124081,0.6814181251086949,0.727224426618688,0.7503726136689259,0.8296936417035041,0.806018425893582,0.9502359355552001,0.93820590083782,0.8722259244648888,0.7862066188624669,0.8037390207758498,0.7441698567443562,0.6892883567105609,0.7349316171454383,0.8816136524280338,0.7966881217398242,0.8097229972561618,0.8184194882979723,0.9112951891707001,1.1770765084646746,1.0572686652864611,1.0873708894876308,2.138518531224332,2.0077967280138123,1.1505464605603102,1.7010606287053085,0.9740074562062706,0.8087950179042318,1.2010541236879646,0.9320452787034473,0.8888718361058364,0.9073440975247508,1.059102527488266,1.024610418360638,0.9036061046518011,1.098426730363348,1.16718014223494,1.21149437318512,0.8857062759954447,0.9108251901728118,0.9822228373540398,0.8540339684861871,0.9218800603268491,0.9086359893106783,1.0603956012908173,1.4309032483886872,1.1368397233118015,1.1543479059883404,1.011174570955625,1.5217977745829774,0.9504805112460465,0.9723271491151217,0.9052207060881163,0.9404504742946418,0.9470762794662053,0.9238394062604455,1.057716636822704,0.9372859933533033,0.8164316257077031,0.7994713613156333,0.7793373029290759,0.9385828612120735,0.8262654687150723,1.017919891752915,0.940649100509336,1.0920268713282897,0.9924354099811695,0.956120109521094,0.8758507249124532,0.9710504350681765,0.9131819431648464,0.8677688894521443,0.8444457363332729,1.041460743585903,0.8772966713761955,0.9548887969268788,0.8554163500600543,0.8715429440743251,1.0006396373206432,0.78781116780179,1.0152404951247596,0.7384797781509095,0.7514481654429851,0.9013931251918516,0.6474628338330191,0.6065403385167358,0.5737617464473928,0.5537748439168557,0.5677115063314606,0.5685666892844786,0.6438520584358655,0.6390605734534431,0.7600987159396987,0.7407386030485037,0.7093850528560572,0.6563865455983332,0.6046094402702755,0.5659712752134045,0.5237945403484578,0.5175480334653114,0.6497165301958027,0.5640171484959783,0.5623521170268465,0.6728347558596878,0.6075098100759814,0.6608264661795438,0.5977778576645081,0.8659353971635824,0.6297238404388013,0.6598241838603323,1.0353456874476152,0.6238294869530202,0.67009608651307,0.6442562076441225,0.7569171717060931,0.6919002128721898,0.6321235117913624,0.6002387309254485,0.6111491403425393,0.6533430665974818,0.6009067191879991,0.6452567127036886,0.6476498467571665,0.64317395921523,0.7319429140401648,0.7313175545864966,1.2386082039311093,1.9046351740436336,1.1033054826113025,0.9675410546904427,0.8170193427009146,0.8120384688714438,0.7472076391068058,0.7850097014513427,0.6728186931312408,0.6858458891950342,0.6326544551404988,0.6732383414875596,0.779298069396673,0.6940533099007058,0.8964239776920402,1.1242113582326885,1.4599775717172887,1.456555580568954,1.3831084680419807,0.9431734349645333,0.9284830959491821,0.6882638053148651,0.7155340195183734,0.8173605605735721,0.7968564297790626,1.0579243167112566,0.8301299953648383,0.9196540988424471,0.7251415730334817,0.7139047882851478,0.7041729986401131,0.68565741205889,0.6717003491734108,0.7073291972177954,0.7377570636024722,0.8092851418473728,1.9839895822371783,1.2823285290395197,1.2998246662120354,1.5618157508161175,1.0958310495700574,0.9481273588424743,0.6648217334712268,0.7091354223056443,1.0231355188604845,0.6421038572167177,0.6811483426260955,0.674018776056935,0.7396048947561679,0.8283950959284815,0.6952230685207322,0.7784344131755457,0.8338179608434957,0.7913556599677443,1.0874054381964815,0.9409204102852444,1.008441953646832,0.9331123578945854,1.1240209027173136,1.0686453326693146,1.0219883763869335,1.297012606559838,1.4654846197427354,1.528681283516463,1.3168271449247861,1.6273533703331262,1.2771051285816526,1.1523139172161008,1.1495610377266507,1.9904150569311632,1.3481597590938816,1.901743400286375,1.2093113633196828,1.414620796031519,1.3968195370058163,1.3845224706066057,1.1314398231348255,0.891391500414572,0.9468677088716332,0.9461380104487249,1.0888091885822655,0.8557467905045893,1.0813831417409074,0.9601023867139599,0.9433267876429611,0.9352412030387979,0.7834740718510053,0.7397013104439883,0.9963558335453238,1.1157544435063464,1.5798812912300724,1.8207416455207235,1.9680132027545811,1.5391261640208014,1.4961056830561938,1.8544725970928746,1.49672439786421,1.3004661413543521,1.7086650365445042,1.7485959876309056,1.284845480941833,1.4567710906253597,1.7428869218292558,1.475482997976163,1.2753318106840013,1.476139179509932,1.2210551781681789,1.3203551175708226,1.3115116905058337,1.2905047735699204,1.1364083317373268,0.9725630825510942,0.9690887562375784,0.97350365458877,1.022771090417756,0.9046340968131958,0.9199164927914159,1.239657723655083,1.2269231513266154,1.042518820183097,1.16880037652938,1.414419095896586,1.5475600110867116,1.6161010640887663,1.765309354214533,1.9778416917415482,1.90459038611298,1.8536783422509509,1.5495668846511608,1.5244642147266148,1.9927495214260305,1.8720110237367382,1.9116083008804434,1.9475578757248884,1.27662252487489,1.1817150240398504,0.6803020347334322,0.6124619723925825,0.7386448814948796,1.2881196524751133,1.3578497489656214,2.2515622532948973,1.3926452831157767,1.289442687489045,1.7645198614007305,1.088619169452933,0.7776136353222155,1.1141751755488347,1.4071274220560248,2.7220904092888674,4.494979087957464,5.303961624415161],[0.38782782856620973,0.39465504218370245,0.4573286858714879,0.4495651709323641,0.4401207987377547,0.4243932523955663,0.35465900666238553,0.47868300192869967,0.3762055278532248,0.3996143236843921,0.45147430530973204,0.5630587564607207,0.4842290475083499,0.45524234615777626,0.6467010570806625,0.5933420168748642,0.5381977255708955,0.6180977526333784,0.6616727975574327,0.6428072817865733,0.6858823955299418,0.6936716589808235,0.7988366057845538,0.9636918681616478,0.7241314172501085,0.6951329897445173,0.5803986408063965,0.5467427849735383,0.6021602069553335,0.6395231557977303,0.700935804259149,0.6850844573954429,0.8219653997065024,0.8013917698329744,0.7386780443251879,0.6645243258147812,0.689746076590142,0.6177114932706033,0.5515264922232721,0.6034708016659706,0.7821443928031587,0.7075487935512832,0.7110680740500382,0.7430026559188319,0.8610505792944844,1.1341863637732068,1.0287792228316066,1.0513416014390824,2.067880311063733,1.9319469382490644,1.129082342852106,1.5909191157699105,0.8574955335225788,0.7090863964762655,1.0907801838589641,0.793538417180182,0.7869474014156967,0.7848823002183024,0.899536177815683,0.9643344645623507,0.7970403321417572,1.013153396105297,1.0635464860676767,1.1012791964047488,0.7954398517709869,0.8176946432614485,0.9061287989139176,0.7582128460321225,0.8441721981216472,0.8078689642932141,0.9767565090434093,1.3510987021156484,1.0393138394777623,1.0864012443411708,0.8873751895531223,1.438310912124923,0.8355215783433461,0.8305368511216961,0.7721172395938222,0.8005156137925801,0.8215894400372722,0.7888455366990041,0.9909140878178425,0.7946638144010991,0.7048919234618957,0.679947080008041,0.6535541389947854,0.8036438723303406,0.7021913304148814,0.8878376490013896,0.8134830287375842,0.963616374376145,0.8548823695971703,0.8129332795437985,0.741068595518126,0.8228166956720127,0.7743037774017882,0.7398620304080387,0.7225392212522364,0.944257464090292,0.7649111237918917,0.8234215976297579,0.7138108349207707,0.7399450169558838,0.9262663440890972,0.6629593529962133,0.8900069568940496,0.5794265639558063,0.5869821067379594,0.7702389678327928,0.49360913463794526,0.4557512837822552,0.41547805553412376,0.44644958889604947,0.43874708220885744,0.4698111426125134,0.5000268372808385,0.5225367123905076,0.6494379845215731,0.642981569389907,0.6030627693423648,0.5390285942093297,0.49066982090816097,0.46119480858392947,0.40967695802726883,0.38758404860482976,0.5291712078204669,0.44151045401343525,0.4095866772494767,0.5554623228254283,0.46220965382021767,0.5496465145580988,0.4616793135647243,0.7772279633212638,0.4915903828388113,0.5308212258637951,0.9214462753512728,0.4996665206058704,0.5699026518653925,0.5349740567031999,0.6998433191743484,0.6223138069542926,0.5412077804652816,0.47316550760907367,0.47288312611845656,0.5222744372180322,0.4552885632365357,0.5012415207356837,0.5142494118266742,0.500772817449465,0.5944626289462434,0.6335391136245507,1.1211432765108935,1.9462071265432603,1.0906358571423216,0.8544680202837968,0.6928561887189145,0.6820217688479674,0.6233172621488766,0.6468213504258629,0.5158273618699165,0.551177441708617,0.48165500329744165,0.5349227676682186,0.6078043236104224,0.5826542297310701,0.7404573488515601,0.9793120310310428,1.3146870509852835,1.343965069494616,1.2661806363121766,0.8213944426717866,0.7808507805736229,0.5256189415264312,0.554777792574669,0.7057231908947251,0.6659727679828725,0.9549978935173882,0.7048891702483254,0.8162377615571493,0.5849860545086758,0.5850504807378969,0.5595754714607548,0.5383862240058597,0.5218664797830347,0.5911574859511786,0.6081118301605143,0.7513625007297405,2.045291540944195,1.239617734800641,1.29987707078035,1.572790351634388,1.0062413805069306,0.8376167933666131,0.5363349647087287,0.5703813882752671,0.90601590749442,0.4964236750341179,0.5674893851038336,0.5620864936805345,0.5896890537272145,0.6801586305444919,0.5595252708087873,0.6489010560594034,0.6550393782199146,0.633064330868073,0.983454385280211,0.7894122485580399,0.8283444210694217,0.7769537724360633,0.9732230220291597,0.8876401495962061,0.8540809881538837,1.1359565655968218,1.2964550569651503,1.3911518203558324,1.1800322398796668,1.4992040353652993,1.144781560987584,0.9786090273683878,0.951113812691616,1.8444670968356047,1.111927619989595,1.7041725849262266,0.9714886975337877,1.1928590836007864,1.209094295602816,1.1525377556435092,0.8961053054323922,0.6924964809847497,0.7740669964785528,0.782794866436876,0.9556221403147296,0.7262493255813234,1.017097172932302,0.8536205467831526,0.8709492288859314,0.8700526578679508,0.6902723725066252,0.6037534335788926,0.8332810124844251,0.9579400481179269,1.4301929624371972,1.6547014970206626,1.8145867213877946,1.3776971747748221,1.2836560718853018,1.6753322789213039,1.3532399633415035,1.1263441077661704,1.5227552729435425,1.5853067883262364,1.1212303420408125,1.257172760044872,1.5546219220065274,1.3163627426513629,1.0854021578171185,1.2553225818414186,1.0038557935621735,1.1005049572444332,1.104563189253299,1.0644792499116282,0.9030514637574749,0.7651067028351579,0.7563051239121901,0.7766631740569299,0.8604719468510746,0.7542058632924655,0.7574517821849811,1.1466513640595484,1.1319282755569726,0.9395754638596654,1.0548817272799542,1.3397983549873391,1.470212440050125,1.5259954683600316,1.6697752970986772,1.9176344654695918,1.8057435236275101,1.757514758629998,1.4529838355249898,1.3965613362708036,1.8806860290304745,1.779657026018184,1.8399849804464234,1.89869097128267,1.199332663386373,1.1083776433555543,0.5637713795282326,0.4772819766480766,0.5838858187035434,1.2597708253527222,1.2849094425903973,2.2752797221301684,1.2679999413420402,1.098228062988697,1.696924893678342,1.0705531568750992,0.6477970950997887,0.9341084794747403,1.4110046256850521,3.0041314837265625,4.762517477455785,5.503069477012415],[0.5691449958444678,0.5212814321838772,0.5663937295245126,0.5242297037338461,0.5781194763939559,0.5364029210788235,0.4984494864653368,0.6050658153918363,0.5606943612155926,0.6099347920947992,0.7011698970228014,0.8017892908335494,0.7437155191275621,0.6853182034640317,0.862425279688382,0.7999481005524202,0.7501069508809277,0.8502255804440698,0.841878842426988,0.8500079439635049,0.900981870338482,0.8861276656950862,0.9416699325791882,1.0656683794677717,0.8778241001448003,0.8615988329350134,0.7906200910802661,0.7711520510766382,0.8161654231053036,0.8281596619050278,0.927083010336891,0.8809836011318232,1.0189816301238361,1.0112919152566144,0.948315950502522,0.8863297298405186,0.874592931661831,0.8280120649617686,0.7851575624983969,0.8221636904029352,1.023006431160302,0.8627640114131905,0.9112350970946523,0.8822859421256473,1.0472229701621043,1.249101278570672,1.151824390677631,1.2047557374264184,2.1346945208416126,1.9070643793718554,1.201199638302506,1.6319188598788463,1.1189668816644307,0.9433754406681825,1.2666156636393673,1.0146731436514242,0.9806520907411647,0.9869950642174266,1.1273491747395983,1.0993609061893221,1.0051728953147294,1.2381898354786327,1.2579275099644445,1.2836459569314653,0.9573244554972747,0.9934299088285918,1.0366064140496056,0.938522851188489,0.9765166502580118,0.9751979598783049,1.07508251562979,1.4619578544413365,1.175847211268912,1.181889783049239,1.0571555962352377,1.520118471818366,0.9869331622107209,1.0393189430723904,0.9780590245979767,1.0097498637645665,1.0033970068202676,1.02707883081739,1.1569362286223814,1.0502274185349927,0.867573862916411,0.8851289750002481,0.877038413956747,1.00973467149806,0.9080898609884613,1.0629658965495903,0.9928167430878929,1.1419313326584966,1.0709901196194478,1.0363812473708764,0.958804414713901,1.0672815674276694,1.0257900230159933,0.9300405407650629,0.9050874300412092,1.0508775286650425,0.9239729251725628,0.9488994527922007,0.8806202740580438,0.8594697751977817,1.0795315924570232,0.7977235128969575,1.0288942037801958,0.7164143916788339,0.7139294879487736,0.8707276935018888,0.636634105109865,0.6070176621668338,0.6000626150810887,0.5912936213062694,0.6239288977376026,0.6445491644463509,0.7237336657171076,0.6963029606707328,0.830386341908411,0.8492258716944511,0.7855833463635856,0.7425703460998576,0.6397685885334388,0.6124367703731465,0.5823537800741856,0.5484641349656597,0.6491786628747285,0.5718239889312412,0.5591454281284687,0.682609097241992,0.6259879759827723,0.6963388019623716,0.6310657572298806,0.891163651428195,0.6413969332566153,0.6628249826623392,1.0275321693138804,0.6441331045231875,0.6923167735986976,0.6396518983640351,0.8259065605521501,0.7527864018691304,0.7330232584737966,0.6844632479358682,0.6847650334253761,0.7096497675298493,0.6694893168201791,0.6800334474734949,0.6905286934125742,0.6704391918476138,0.7003383197694413,0.7202848696250275,1.1561363384098933,1.8985286219891264,1.1160798928438063,0.9514255506374419,0.8220329759265483,0.7870441978952587,0.7817756831259667,0.7480886384789975,0.6842176519840453,0.7287356629049037,0.6531622183598049,0.7136181822715941,0.7925725968428741,0.7242089535176047,0.851720970359423,1.017137976622893,1.3121608764126207,1.3489504887722052,1.2728984557089187,0.8880390344264497,0.8707490415871026,0.6975324710824159,0.7351832362889271,0.8558171568333807,0.8288065805500965,1.0277948025627333,0.8724918871851757,0.9412140037586358,0.7272128233314266,0.7289098497528729,0.7071891999654388,0.687413878128191,0.7047566127145652,0.765944710521303,0.784001362400358,0.9120373770070198,1.8949968508982231,1.3960197285679858,1.2428592066144633,1.478376727475667,1.0177182290242515,0.902625456791682,0.6735241597704705,0.7093292035573345,1.0279515260788525,0.6508638427724971,0.6764198006258856,0.6801019762607101,0.7335169797881731,0.8004898152559856,0.6920552329742553,0.7478105304384529,0.7937129199656847,0.7654154664598827,1.0537668766389183,0.8983086629483922,0.934532270584984,0.926712865611842,1.0989925172741533,1.0314388328273592,1.0092694068657149,1.2674895973380247,1.418933393700652,1.4478011993239552,1.3002589733337124,1.486694144321695,1.1943804432368446,1.0650845621589748,1.027706517706919,1.975467197927648,1.1959092167230632,1.8079687185195568,1.118745234685216,1.345730506976525,1.3443553891348734,1.3354650056858934,1.0603373228478417,0.8336077796055967,0.9363119704756669,0.9172873928664536,0.9843921415915161,0.8120447311079046,1.1518933079874232,0.8313603805863254,0.8756219198106048,0.8822220882961131,0.7613398084825045,0.7771808486358702,1.0027668852347946,1.0875685042542247,1.5197880476758174,1.7168959511234085,1.8585190387670456,1.4337983206417075,1.3718318134901908,1.7202840022173715,1.4121126193664857,1.2012577549265289,1.5422131532751173,1.5681964258231194,1.1510986661226976,1.2907176575525774,1.5452750717242936,1.2987094827571206,1.1549125845785215,1.30617449527414,1.1100643270522241,1.1969146227716176,1.2029557591962294,1.1916999326291644,1.036619345472346,0.901840267322941,0.9011895560755192,0.9016213701991243,0.9512537807227341,0.8410658556653666,0.8423331046663045,1.108378646382916,1.1024103399189473,0.937211446528154,1.0197670458603711,1.2669798252369953,1.3821852269845916,1.4433821964711167,1.5400023018702387,1.7937600235496938,1.7317042956015887,1.698563940379654,1.4484659281342276,1.4361356995311745,1.8357817411163406,1.7300943363959453,1.7493263601594446,1.8190919889605341,1.1980757320013793,1.1512783124779324,0.6636238130893138,0.5831565377838824,0.7368278126264168,1.3056592429549294,1.3541156924984785,2.220977784796139,1.2341648702685533,1.2018331221490517,1.7346321830432057,0.9748739144929947,0.6752975690980562,1.065869278457782,1.564069323308673,3.158642095454868,5.009873308001901,5.871843354130504],[0.4835021612525181,0.522001493158632,0.6030153043922098,0.5613628299030139,0.5521311085910541,0.5462267590422865,0.49216435619196064,0.5924944456660992,0.5048857947239221,0.5223537624860543,0.5783776773879009,0.6833818179144041,0.6301559889378824,0.5823887035232607,0.745089828611963,0.6866310858231385,0.6538990645478014,0.7245197164270935,0.7472325212466367,0.7313889031688839,0.7731309055897042,0.7726364246472248,0.8481360624338176,1.005116509313154,0.8168436916663876,0.7910199221317841,0.7089201333812358,0.6917068982461013,0.718213601923162,0.7418587294353889,0.7779664342530958,0.7546309730849978,0.8506456620383694,0.830987097543211,0.8099098860189681,0.7524077631964968,0.7918791963555394,0.7500656002868227,0.6997753862958012,0.7607122350870277,0.9810364025447498,0.7777921548874377,0.8115801074814633,0.8310591798708115,0.9576532995517537,1.2085755295168352,1.0882190976071373,1.2042909523216487,2.1580530846825776,1.9071541230086106,1.178605691622097,1.6187262793107826,0.9956671574604435,0.8479754139360179,1.1786881771153808,0.894277802186682,0.9130419959556361,0.8759879502278335,0.9891595924358824,1.0136111309666205,0.8739901861410525,1.0893156708225713,1.121129015416521,1.14260535056465,0.831062240944881,0.8833581547359025,0.9280934315589691,0.7939594446916327,0.8939998672514629,0.8716339968789837,1.0153585503421125,1.4235627256240886,1.0827856588442613,1.0910150189557397,0.9288513240782283,1.4528292666696307,0.8649563755803554,0.8601802395439824,0.8241064883553286,0.8660032126351465,0.9262815425285503,0.9240008204637129,1.074994463375019,0.9479414515717686,0.8295952486357165,0.8214797591945238,0.777791175833683,0.8983598414432625,0.7784398736865237,0.911915750479204,0.8498693806394292,0.9758007636471604,0.8869970736583965,0.8409155351100447,0.795936105559921,0.8692565250365591,0.8796610343799369,0.7784913885786077,0.7818765144357644,0.982308540813134,0.8304383940650727,0.933210112644772,0.8160313164171722,0.8356709293090457,1.0373234961155433,0.7869807402574006,0.9628663802492928,0.7120252614003817,0.7108108201381245,0.8740133726048555,0.6249987167970508,0.6044509669892514,0.5675399618865503,0.5809192885107088,0.5962805775098603,0.6292781011065872,0.6340382375756066,0.6630099899075466,0.7573558251783346,0.7627689290688053,0.7289835506831471,0.6880439631796259,0.6400090558712298,0.5986925785105569,0.5561059749262263,0.5358469381938015,0.6340334218742977,0.554409436869615,0.551380733831194,0.7076103158871806,0.6050908390221673,0.7019441330413229,0.6513730777469399,0.9431920539850913,0.6599919315614878,0.6733916865377407,0.9945442298419037,0.6474749651693359,0.6921667845304534,0.6631172699005383,0.7943102859334299,0.7058573992564477,0.6712129825438937,0.6438183863384171,0.6388089435211798,0.6679368763663608,0.6220221273371509,0.6423582060072532,0.6492083796904127,0.6296996180834258,0.7177364206566466,0.7561090811488591,1.1897713925057722,2.063131870301099,1.2072341745472503,0.9520501423277983,0.7887069109432862,0.7921903416988102,0.7403973245791973,0.7569240714833454,0.6536462110122992,0.6924514888864831,0.637282815084664,0.6886766034767778,0.7622493173356869,0.6875003113280632,0.8030003573843677,0.9552902855499866,1.2318970687026383,1.3050759967003647,1.2307265557507416,0.875263043970066,0.8566011401152042,0.6692427766820316,0.693642678265175,0.820754864569929,0.7920704120435833,1.0350573552484614,0.8409497503181584,0.9166600442409917,0.7078677420491147,0.7259152933605485,0.7069042742271394,0.6892250409975746,0.6901417021236802,0.7104496893600124,0.7596550599945908,0.9039006442583876,1.9581681909250601,1.3306518080559382,1.2654819529494337,1.6104232814522115,1.049572650818494,0.9025272917610571,0.6987698469276208,0.691198333070054,0.9684335382903714,0.6120580495754301,0.6382925801258883,0.6767977635106862,0.7110757725272144,0.8127356682365755,0.6805528739200963,0.7103052563742509,0.7565411036806883,0.7444390841755975,0.9836200009716557,0.8419550102424309,0.9104334091516295,0.8754234791539498,1.0124110298528544,0.9559366680695116,0.9526265441414362,1.1468125240908211,1.2885163980089465,1.322708150964615,1.1876755953317255,1.3637248245935272,1.097211146551472,0.9746844083300885,0.9307482612353521,1.8896658508768664,1.0951894785488951,1.75309589791007,1.0494060369661862,1.2741754810275867,1.2895781295459876,1.250773237630186,0.987972908846415,0.7955111555688941,0.9097427307122,0.8886586500335474,0.951798909935506,0.7752059534326241,1.097633069742144,0.797699766675899,0.8373828029926897,0.8381967082412302,0.7133759061085873,0.7494705571074124,0.9691772845888232,1.0717802967958583,1.5256826007604951,1.7205024788680614,1.8510533886058738,1.4024497321123865,1.3186391344702006,1.6825498788401512,1.3668840347961504,1.175128861015251,1.4918356196309468,1.5273370821456334,1.1341914566585214,1.248538071764426,1.4858853928992386,1.2744802783085551,1.1160107179096566,1.2436734059570278,1.0545572679996909,1.136943387828433,1.1561060767121307,1.132693136245738,0.9643241921965116,0.8400528244499048,0.8539568025059155,0.8300530342214097,0.8808677673284205,0.7727941192751666,0.7669634022247879,1.036073073913149,1.0406117953800142,0.8755574900397334,0.9537172885506842,1.1933695111781282,1.2948008076594477,1.327652398531483,1.4213627201252408,1.68508563404141,1.5607007869324974,1.557839664116467,1.3277952594566333,1.2967686018631825,1.7038461451681264,1.6010407605128474,1.6385466702431652,1.723396753682581,1.1071072111595062,1.0663521315046538,0.636912534695673,0.5980447067448561,0.6852653763924057,1.2814253929606283,1.3626889415641696,2.2344941185528193,1.0684142132673762,1.0758904473759334,1.660182611753319,0.9459712298130555,0.723607264349894,1.0485805065165599,1.7294314703708198,3.406919277966543,5.20359983002669,6.050422695373033],[0.6761406241538549,0.6968256217740265,0.7575313515583967,0.7735528358021685,0.7209048041602997,0.7014059485098099,0.6723919854665162,0.7685088989602289,0.7470999203444272,0.8207608804185715,0.907005546559023,0.9604209748604419,0.9345341478308122,0.9174995007543496,1.1013748174902684,1.0192895665980881,0.9643993784790806,1.0697372594499417,1.0753653366103602,1.0540336288443322,1.0729964071874745,1.0976359705350447,1.1491174009801308,1.2775676291599123,1.1244015758076713,1.0951691454942556,1.0292797549180082,1.0146726112320423,1.0391184358693517,1.0389767883763819,1.1025816272945723,1.0405986451049996,1.0952583410300547,1.1101660060646146,1.0957203392994876,1.056054655631242,1.0541620736451547,1.0379012039054247,0.995133107470295,1.0389210534084965,1.2316564264959913,1.0680499714029277,1.0849227961292,1.1335952088633239,1.1739227348664616,1.4456785268024597,1.276142401931446,1.4102020434162084,2.384444579791102,2.1409777793553713,1.3359882174974391,1.8415752662685334,1.212741965870396,1.0940711079029053,1.365301221002824,1.1801478309322988,1.17526231871074,1.1512751166490145,1.242722858861717,1.2490939235985197,1.1537585894258466,1.3295157635213504,1.3620501803322766,1.3706565096717316,1.1155498977348282,1.153130578608566,1.1359637371395104,1.0898743649829465,1.1734292732755878,1.180667020178999,1.3022684844876742,1.5873215741175357,1.337982073201161,1.3414226604908377,1.2341628037273888,1.6244208205359263,1.1654262108076805,1.137699065008074,1.1088398844754237,1.16520330721641,1.1644637282245898,1.1494497577497003,1.276399254223327,1.171825224425215,1.0657031362582177,1.0433578855891128,1.0552008271210287,1.1481250135634231,1.0859557726733569,1.183047512327845,1.151852059783867,1.258179232037143,1.1959279293165415,1.1587691166819434,1.1205434177282791,1.204431799766615,1.2092300062904424,1.072696347492233,1.0568997044879251,1.1181105735805803,1.0500129233712523,1.0486316804030464,1.0172553096012455,0.9980952382319601,1.189816598340112,0.9487147009094258,1.117784021389828,0.8920637505134829,0.8597575150824228,1.0231273837188204,0.7910858929794637,0.8140094862447784,0.7974635074143781,0.8128892635610665,0.851590034932555,0.8733430849898339,0.9146681587177283,0.9233979818306687,0.9762792376976924,1.0270295056412617,0.9330462523067266,0.9213966189526023,0.8759261237489507,0.8234165165013433,0.8039646736348741,0.7635590896314435,0.7833928288963868,0.7526730835790155,0.7374441239479962,0.8771152651284583,0.7678995505430153,0.871014339648786,0.8532096563579925,1.1251768078274018,0.8810680679204805,0.910726423686726,1.2031914335193767,0.8732900055045396,0.897376748844026,0.9042954300194778,1.00190589228527,0.9627264630616171,0.9416909863119587,0.9137133077828625,0.9239728191744657,0.9438536794855564,0.8997217771389692,0.9147174455314286,0.8966018063564554,0.8650378223385243,0.8658712197783159,0.8662714212325352,1.22862881261398,2.0333586729935167,1.181729226744213,1.0394707259693168,1.0001214917115668,0.946945683288162,0.9679258878256453,0.9554312224515281,0.8880426419110773,0.9645816725345107,0.9207907901947633,0.9573138513124198,1.0509268746741136,0.9530022485005382,1.0888613113050711,1.1981517442547944,1.4385178080996595,1.5049068914911212,1.4537349991059525,1.1363625845303151,1.1343663510238002,0.9159096983182501,0.9514262727866424,1.0265223705243565,1.0175034222690233,1.2278754660140858,1.064034407499123,1.140142741597338,0.9519877491227631,0.9212439660799377,0.895758552893539,0.8758245249142409,0.9004124303047296,0.9441233556701594,1.0459505963803106,1.0961306751670314,2.0662278582444378,1.5188306491006456,1.236940338409538,1.5999554459025498,1.1553938425210202,1.0340069461823953,0.8639451317374733,0.8765939264809125,1.1154404462618441,0.7944877325933262,0.7587232624324174,0.8031453413591838,0.841259820078643,0.9351100123339966,0.796726984632779,0.7966660526196007,0.885428577303519,0.8563141845406543,1.028768103673619,0.9272408587675349,1.024305420971202,0.9862478031519318,1.1124691461090703,1.0803350872748423,1.0941930112888427,1.264829611707348,1.4087067865563916,1.3868815267514754,1.2794197770156577,1.4017184108828515,1.1675553997551154,1.0758532135157404,1.0532834146521812,2.0501110310893402,1.2519422102658624,1.889606593747121,1.2518688715859105,1.483520516973575,1.4806804433515661,1.4753578927037212,1.1888992507754859,0.9558141120299014,1.08462664171934,1.0368576626508423,1.009424961142272,0.8662019571709318,1.168621756372384,0.8391109223772774,0.8841694863031415,0.854478711495245,0.7744332941432546,0.9267694606544513,1.1797514502850208,1.2384112470769086,1.6769607826422372,1.8644247174761777,1.9998012272479695,1.5426636037322312,1.4660332398124298,1.8014662930469076,1.509945446405694,1.2979498552214153,1.5931169190467778,1.602683208485267,1.2213884397581196,1.3441871358714508,1.5586296853593373,1.3516159343313268,1.217994535402796,1.346579955712746,1.1725466557558928,1.2694403489736708,1.2926513568394506,1.291720160730939,1.1055885087084436,0.9637727332090291,1.0089420962865838,0.972397317412281,0.9921381223177109,0.865441531025282,0.8800020922465741,1.0510097461803891,1.0475990683439895,0.8894229284684572,0.9899091752147858,1.1724430032358226,1.260838340045036,1.3019493636840336,1.3839214497402614,1.627334733651458,1.5495189080426415,1.555066277937634,1.343374158966293,1.356476488760053,1.7268544118778932,1.6031159757938729,1.6028027999268555,1.6808869286018129,1.1077477602860006,1.1220870957459568,0.7507707176627425,0.7579258152821642,0.8361928984847451,1.2598573730153881,1.3844395953174882,2.094670345045089,1.077607162336299,1.1865624971025184,1.6534934505708838,0.9376048218612058,0.8296167953432498,1.2251857925157665,1.882900423694324,3.46838381857716,5.324214882149507,6.28475312725764],[0.9549584262617636,0.9570930059889267,1.0060588684115102,0.9253641491693821,0.9462137147540638,0.8812563832050795,0.877452389482461,0.9579518529238105,0.9493242762607178,1.108577927482024,1.21837410038144,1.2326930868036734,1.2559932033178767,1.2889386608749054,1.5001732439730588,1.3917768559147872,1.3512784455682074,1.4898407212850988,1.5187139342752636,1.5025064891388915,1.5459044109624047,1.5645235496577277,1.604471885994063,1.659031832815553,1.5302053435607592,1.5106618595412387,1.4143096375112039,1.3979991977895025,1.4212135147538678,1.3888816026385515,1.5443744719367012,1.3831507091507318,1.4630843336275605,1.4995546258479762,1.4610241552510412,1.4639680929849717,1.4049415463656505,1.4370752558916804,1.3613303831134995,1.401882955136056,1.572493173871578,1.4804082332076702,1.5056687733545142,1.5257558617287879,1.556375392116833,1.717578201966034,1.602403557531404,1.808300608382891,2.5895425915159898,2.3019911502965846,1.6709984089479104,2.022784036008868,1.5739554777244,1.4435343044964362,1.7300739928313071,1.5881163209724733,1.5991928802127027,1.5736035727913453,1.6728325283693466,1.6501429626561004,1.5846883292934486,1.6995179728255851,1.7449621630449932,1.7381002827429575,1.5899474150715887,1.6009025458196724,1.6699335964342865,1.6013497648168054,1.678660572944273,1.7029170479657665,1.7945995399907297,2.0736852347173436,1.8692363891599724,1.875000453727719,1.7420746345225113,2.0219802343955062,1.6430175091192663,1.5838092425280799,1.5464688608161996,1.5877427562917017,1.5235326232255952,1.4959370294196908,1.557764306373648,1.4869159729217356,1.3687426006133734,1.370078834333786,1.4289353140177983,1.4924436636331193,1.5043328848169746,1.582449676601972,1.6156281102838599,1.708515794368,1.6942221117000407,1.6226424369063819,1.5726239003214657,1.7311447489671645,1.6927615914516485,1.420465232373589,1.3226977541974756,1.2587665389883758,1.2732383304033257,1.238547831407213,1.2547813018724934,1.18789873166473,1.3959608383956545,1.1341452717003173,1.2882492071640266,1.1171968124106426,1.088556485660413,1.198281499698528,1.0153785050510393,1.0323300725464124,1.017694640418706,1.0517837609200058,1.162292712613353,1.1955417739336303,1.2714079373383351,1.2789971180283126,1.4029987779991,1.4422133118881932,1.3683690725393733,1.31102030542513,1.2257904791391463,1.128333145759322,1.0519957062962153,1.0016770489818032,0.9383168596343788,0.9722211149004257,0.9650427847027229,1.0837351746276074,0.9859421933753935,1.1003982471716807,1.091943196133139,1.3394079545146371,1.1212855483950428,1.144397658222876,1.383578347428009,1.1130456561407485,1.117265604678742,1.155902202485895,1.2364186722669501,1.2683023633949813,1.310230564524547,1.2492332502580803,1.2802558281833192,1.2905512209171173,1.225191834096092,1.2091633138342484,1.13861926904469,1.0764838748543903,1.074856351921622,1.0568236970736375,1.4053081150664035,2.080607559325237,1.2990610814775927,1.20651388426153,1.1941465674938923,1.141566780032316,1.2230664153876503,1.1719131629314028,1.1407111660594962,1.25924965427717,1.213906777538451,1.2624409044714695,1.2977761157724923,1.22367477095896,1.2988885292041161,1.3649995505060224,1.5400232190887497,1.6407928327039805,1.5781067856782063,1.3495398879825329,1.3525152430733187,1.1881036070796707,1.238124842157284,1.2967694961224083,1.310266465093785,1.4817012162302619,1.374416923747341,1.3880946730207158,1.2230386417652763,1.1554864177332007,1.1393378128031877,1.1199095077486494,1.1490613661922944,1.2276340493767792,1.3427724895579078,1.447216200591206,2.1518913133648705,1.7378820288983343,1.2951412992469535,1.7612802608425626,1.3407919940687325,1.2604569143123285,1.1360024535471067,1.110009341643999,1.2701750388629633,1.055990615765626,1.0164130249407213,1.078126442901594,1.143969850127375,1.2350492657864163,1.0705859055827076,1.0635248832955495,1.20839255649981,1.1651868573319217,1.1967007845844302,1.1888613259696088,1.3554474201831703,1.2696778310950296,1.369794182902961,1.4157619446129304,1.4447636546031937,1.5105191151683228,1.6692851892221412,1.5740262251158041,1.5763107645060463,1.5494357659536884,1.3978821407544142,1.3916861668362561,1.397634272301765,2.356275036445565,1.608823396316434,2.194985900964959,1.6283366263813668,1.841943794851971,1.7943316121380142,1.8230116121911295,1.552928620794836,1.2957303995639011,1.4065258477484,1.3673580575136695,1.2755591918303013,1.156484563062642,1.400615292497288,1.067778650398593,1.0742574579227628,1.044783891593846,1.0103694860001309,1.2183444636873106,1.4809227416863986,1.5435628507858987,1.9420329703820496,2.1609258050892604,2.253633504670688,1.7798272439089209,1.7938683034112703,2.1067033342229897,1.7697183962330678,1.5951884724868481,1.8995296423758643,1.885757513848209,1.5325470929235805,1.698233286754078,1.9095120862655275,1.713691956086007,1.5907955175604884,1.7337849700893389,1.5584102342511597,1.6466179689901494,1.6271313548388178,1.6514814440082644,1.4950679623703498,1.3077742880845717,1.3567658675226373,1.3188929296116936,1.2999590272725368,1.1432370859346035,1.1881405442191697,1.263498888350448,1.2220732030235708,1.096041251564924,1.202583479601604,1.3124249661650813,1.3503380738194402,1.3782653661145927,1.4600142616755942,1.6570421936238466,1.6208296947017597,1.608842424672979,1.440280201594547,1.4641040819669953,1.756734847164342,1.628753157255219,1.6093505519507123,1.6814265097540555,1.2256105561698987,1.248658970803589,0.9823092951212802,0.9705190197578663,1.0842816047676582,1.402233825609964,1.5960480818868144,2.08802029257168,1.2083163028243098,1.4420904703510555,1.7980627140080925,1.0846345021401387,1.0902608551759434,1.5680237910344903,2.1661175658173555,3.5766292869496543,5.421216992847067,6.534987387202354],[0.5076133501918827,0.5483783656646134,0.6492093640362647,0.6255561804623953,0.6217354195132246,0.600350408406508,0.5860778495958376,0.6664525203724175,0.6136173737526659,0.701346607960879,0.7719148862518332,0.8095030316717999,0.8098965152056542,0.8189852579892891,0.9438421885347482,0.8730978554415206,0.856222836070389,0.9504583785727518,1.0079512538750994,0.9585982673226291,1.008632655749857,1.0151704969000266,1.0690836066501639,1.223369917975245,1.0340035131697252,1.0312977869234432,0.9312512906506185,0.9194596912570209,0.9304837224789605,0.9119563207608228,0.9915060184471048,0.8928867741563706,1.018677325962869,1.0195300284439963,0.9791779013308914,0.9508813740310743,0.9428536371904322,0.9557590956307896,0.89678486508327,0.9627216465480661,1.145014335617189,0.9774318099906462,1.0119063370028596,1.0146803358887964,1.128529978908259,1.3149610919017773,1.2206034192279187,1.375478775891219,2.246544465801483,1.9155644776541865,1.311463028012275,1.6959847435254012,1.1555503533256952,1.0256058722769583,1.3099610666079062,1.091697085158411,1.1168893535737048,1.0732475904516126,1.1789996752060794,1.200250854019469,1.0776979795319859,1.253521453665685,1.2971701951216141,1.329771951805291,1.0533983873750827,1.0944143804822493,1.1592736492165931,1.0341288142549978,1.139663605212572,1.1255098412307027,1.2645386921649229,1.6724922556772024,1.3257446307038243,1.3470733507741621,1.1581442928631762,1.6021684880422389,1.0903545184645687,1.070790622244082,1.0353400688137042,1.0750979106859948,1.0891296684401661,1.0776550265611686,1.1983186810580195,1.1305636827230865,0.9725100813071782,0.972312460790506,0.9614846727756393,1.0638698460301628,0.9838090543812583,1.098294843344445,1.0648229038235342,1.1851818612919667,1.1131589447994186,1.0450843073383367,1.0009709823412352,1.0970192909395362,1.1155344477426279,0.9214326262095796,0.8929553397847946,1.045801438387842,0.9371242881031836,1.0045298059488117,0.9197445991412501,0.9111391199241333,1.1378758965639089,0.8453858525652148,1.0115766869093783,0.7780415588780901,0.7620573574288037,0.9053463005650451,0.6707157210173973,0.6948758187684861,0.6690081614513578,0.7151726496328963,0.7812356491765372,0.8341886338096931,0.8640099805802103,0.8958395753342903,0.999813840541222,0.993978290290861,0.9957308784398635,0.9323018498648786,0.876354220917197,0.8108898509429454,0.709328323183225,0.6714967318827444,0.7131407120984173,0.6342420309195147,0.6271027181686664,0.7555453051728643,0.665028752970771,0.7664355897937806,0.7351108101677165,1.0129023886916797,0.7638105223026074,0.7964608008291384,1.0932412344704534,0.7837608383375655,0.8377027701766837,0.8172427657900221,0.9520993762582899,0.8922250138171476,0.8869175728500878,0.8442015717113571,0.8406101154769265,0.8529099297895456,0.8041563169189271,0.7952996529005981,0.7738624386644268,0.7287220847277437,0.776954586128167,0.7873981935137366,1.2305736720096385,2.060594068759322,1.1894753740333754,1.002977900770445,0.8670310929300689,0.8540974075026248,0.854232380496476,0.8582684742120317,0.7786946104278655,0.8394743268665672,0.8089510468694996,0.8565727355186321,0.8968905074025658,0.8253952103120976,0.9045476367946527,1.0264507597133703,1.2507691078294152,1.3471548167524594,1.2681562245680191,0.9598197027358585,0.9645509570204884,0.7964675058725701,0.8428014994378392,0.9483063758772531,0.9292654574134002,1.1686812869109973,1.0018425526436356,1.054089641202194,0.8389953252677483,0.8159167563938637,0.7988707370783704,0.7827632024194092,0.7935903378992738,0.8340782516369699,0.930017943287162,1.0655381905398675,1.9833831753073148,1.3935758837540728,1.2735446733142453,1.6646408577059235,1.1131560004972236,0.9625292482500545,0.7835554337767967,0.7699757978753186,1.0527517613149882,0.6828697070027198,0.6827664739248188,0.7332941448241049,0.7800641491813065,0.8896728781382098,0.7375374826597442,0.7511337015789159,0.8374500207096142,0.8098658601357667,1.0058540287760105,0.8917204403798458,0.9896826902653308,0.9461928345605236,1.081974650316459,1.0436787782668249,1.048119992243253,1.228504954259795,1.3803741871895554,1.3915444417544307,1.2653352511637614,1.413949933507686,1.1483787806824655,1.0443022408682578,1.0146422355690354,2.0290007141996305,1.2041773765490473,1.8678385120125278,1.212810453700926,1.4565705397997888,1.4426089690887973,1.4321860650907954,1.137729272011639,0.8889342063626058,1.0212023211986083,0.9763409929411478,0.9628949557880578,0.8136233107967829,1.14409887639187,0.7917990985047745,0.8152968977604451,0.8371831374574495,0.7322548197395709,0.8327443233230221,1.1108370555531755,1.1936246763503657,1.6601091584689611,1.864572320812236,1.9943270282917516,1.5074373494508484,1.4594525462182548,1.809895787764275,1.4761857667767742,1.2712898372687012,1.6035511504896713,1.6128346710657415,1.205741941543612,1.3486530159578654,1.5859037882936657,1.3473087124575704,1.2022933859902947,1.3535506815175606,1.162548172993173,1.2617943589786942,1.2704424562889147,1.2703685091605008,1.0836353529224416,0.9221979061383042,0.9548503364429436,0.9202482068503651,0.9441394325783162,0.806492778323875,0.8127695891950891,1.0415244005486353,1.0432380031184707,0.8662353813955809,0.9533864901217881,1.189942911570103,1.2979010369259412,1.3424376880781281,1.4396057384719239,1.7151673575095923,1.6101722511115848,1.6033732226277801,1.364570175318305,1.3549788834662946,1.7569636696269217,1.6333085494881374,1.6591888135845212,1.7256363464711024,1.1122272678282423,1.0931140872260257,0.6729451571387649,0.6635950841019223,0.7561273568070703,1.2516855891122065,1.371179397584398,2.0933828688280367,1.0344986739982582,1.1559895343212703,1.6660558827622562,0.8989893745611187,0.762449394491282,1.1447705844699334,1.8036803923562026,3.4029001657568836,5.265223122724587,6.262191794829468],[0.6186073017011586,0.6263223792152484,0.7059206071432345,0.6445190260016225,0.6736531114623344,0.6730730405163778,0.6634541061755372,0.7945718595411417,0.7104357232160879,0.7651740264487856,0.8377658455789773,0.9294009788280585,0.9025078701465613,0.8375774294719015,0.9915395276331904,0.9615216021287437,0.9199534813554735,1.006632062382557,1.0390315666066687,1.045932206550372,1.0772131506904596,1.0933150938518077,1.1371756284708843,1.2649654810973923,1.0752126033599425,1.0586212983922836,0.9763220142423944,0.9555576161885162,1.0087053614434522,1.0236233178400178,1.1071783673597242,1.041334267986001,1.1799602033294583,1.1904658859351887,1.124481693258857,1.0742293345492304,1.0920112999681564,1.071345966244824,0.9972607631141689,1.0735284624303763,1.1963118850726127,1.0679331581861238,1.111167631663918,1.1141123475367858,1.1824028644873579,1.3511862454753887,1.2616416633298952,1.4493094773122501,2.308693152837243,2.0462332682710214,1.4016934595330757,1.7570711739421518,1.2607312870035186,1.1231236782103777,1.4473253364145127,1.22285893748658,1.2193215112049205,1.2031493687989834,1.3029807527360473,1.309131678710833,1.1918536987306083,1.3364856068725937,1.395818536304699,1.3957368673745796,1.159303944211114,1.2052945848282397,1.24332419284007,1.1279283978260715,1.1835733745951937,1.1542698491970913,1.2619779930195636,1.627218480301376,1.3464629883918096,1.3793394760641675,1.2490570335948785,1.6844579032973483,1.2138981144580703,1.2148389465918987,1.1801180679090069,1.222709907769325,1.2389535811110657,1.2053000669553176,1.3313360628607285,1.2609106828445604,1.0975883336273862,1.105285174767711,1.087298470881037,1.1930791096955753,1.1070267891879588,1.2535365476504154,1.2014735059273274,1.3030599347511185,1.2448683089156376,1.193557798555032,1.127911066845392,1.2081711535419886,1.1942294386905365,1.0789339768834871,1.0534018449788252,1.2016940352250598,1.091164310232034,1.1455438732271521,1.0870361890137752,1.0795865446023336,1.299423886971018,0.9913115029692223,1.1742644295753295,0.9134968354150672,0.8875413181884947,1.0078307476509072,0.8137953160298973,0.8084964310716541,0.7801844683011284,0.7777312961173842,0.8185983834119612,0.8303697479184596,0.8617336149654572,0.8590261171588235,0.9755444300536609,0.9997920135193451,0.9606611829739954,0.8942324590503126,0.8094926342778401,0.7855970483038197,0.7276870105814779,0.7031119024804688,0.8082435118977073,0.7518878623064639,0.7417340400335202,0.8644412344018709,0.783236684634596,0.8671309992139921,0.8241693411796759,1.071727906236516,0.840054509340809,0.8672823917728781,1.1410898405838463,0.8010333455682406,0.7999650926871901,0.83391500951468,0.9195195568209593,0.8816895849764749,0.8974777726453221,0.8613146914402926,0.8860186316037552,0.9147727824122984,0.8566388094243055,0.8799911397580384,0.9063296244081905,0.8678590807339668,0.9133244719129688,0.9302648796791688,1.346902018284294,2.0388213571178615,1.2620500870430813,1.152800319306814,1.0057643195973065,1.003060642416972,1.005268113602362,1.0092745031493136,0.8933684639274158,0.942921184627356,0.8827404188761913,0.9498400540959653,0.9706491920539878,0.8790820793242943,0.9941400220796153,1.1184282187945633,1.3846340532839867,1.4396200710927394,1.3722137231101499,1.0330799570514975,1.0660826048703353,0.9024112048440885,0.9728964350105745,1.1029692759800513,1.0675290814036256,1.2738851822197192,1.1419172021256574,1.193637403722541,0.9685751649305222,0.9490565968641095,0.9244829058650611,0.8971759379836455,0.8791366256755293,0.9411146048389033,1.011769549477175,1.1585956463476728,2.0664330941356464,1.477597132972101,1.3428026879787631,1.6766725743778934,1.1678318680651512,1.064662315961171,0.8750124084997735,0.8744262197536193,1.1455988749262764,0.8305222958114888,0.8377356357514066,0.8584844791326616,0.9274863303762412,1.0024638500703913,0.8690322943762115,0.9183213472005052,0.9691124811251165,0.9384964864101232,1.18876971717957,1.064711455178761,1.0869208539721753,1.1081538516993756,1.277240631344636,1.2253876050753494,1.1981754952849053,1.448457655995031,1.6175377821793804,1.607680467356936,1.4725463881906458,1.6391338091173013,1.3621613111125739,1.2498428850960746,1.1870444774233158,2.215748152813682,1.3132232447429968,1.8659613722590738,1.2595131158416148,1.5022993471655197,1.509650386572018,1.504012348395605,1.2413841166000235,1.025320749886336,1.1256655791071182,1.0935182604908966,1.1309451960830792,0.9673513646505808,1.2484978063888246,0.9633911557529723,1.0007364538059682,0.9719194917904616,0.9093060377400529,0.9600906002004909,1.1963147914722203,1.2762704577677442,1.6890576137881967,1.8937537812807355,2.0140819837981425,1.577672524233759,1.5381395799686723,1.864860382849736,1.5538789154018675,1.3492004689462245,1.651687707399531,1.651729583815327,1.278807421604938,1.4122134850490056,1.6345366294054136,1.3929115140623607,1.2898606831457686,1.4309019702153565,1.260732308886567,1.342012756030613,1.3392999805539838,1.3329466900015596,1.1912975033238864,1.0590623502081535,1.0570625519265235,1.0724087199044516,1.1210078166705224,0.993939602980161,0.9898077637527727,1.2509028456684825,1.2392612505580252,1.0404297656579218,1.1341686897641112,1.3405501390332677,1.489123527401768,1.5343799512351621,1.6417066567703926,1.9089855206565374,1.848243902543513,1.8161988714779855,1.5721368639979982,1.5568259977337384,1.938581887610847,1.822543754585198,1.8380228457582095,1.8882503004000297,1.28273501850607,1.2358835145484826,0.8153058794692317,0.7531312848118918,0.889598170610579,1.3586295486742703,1.4487109709738462,2.1727057117866604,1.2745016766325237,1.3653106172633747,1.835071035834134,1.0591393368761721,0.8156161451028884,1.1706270794096953,1.6134648454930756,3.163071451254242,5.015296343567654,6.003918936370914],[0.5256043011593377,0.5581104751867086,0.5942014431008572,0.6103630359845091,0.5435405153877185,0.5533294598300262,0.4628692093922997,0.5667541621743073,0.47976132085543116,0.4779219431025299,0.5359588059434586,0.6713639232105321,0.596389556872015,0.5528686514042304,0.7075608580760813,0.6873424885048693,0.6237272570817646,0.732550266916409,0.7743101030772914,0.7351998520585028,0.7961945636662459,0.8175525575263943,0.8959253255676422,1.0779029030486407,0.8073905674609911,0.7999063406237392,0.7119036790998198,0.6804493643173429,0.7049357944778261,0.7350913083106417,0.8147797221715241,0.7837927404879561,0.9245844563983734,0.8910320766169741,0.8509312933895911,0.7815900118888763,0.7834754708792839,0.7318705662715923,0.6824243373539433,0.7580359403401982,1.002493095520826,0.7418698172704161,0.782792455935733,0.8070064693547548,0.9483277582104874,1.1952997278626798,1.1002830611772036,1.2034621237928516,2.103717442866685,1.8145900433037474,1.1488339948690582,1.6671128329245366,0.9568139539155929,0.8367290226875044,1.1266386904412145,0.8790892440064862,0.9192024870282164,0.8740063332172712,0.994224246793643,1.0581882575591837,0.8952381858264749,1.1051624874729582,1.1534898944130476,1.1903431529045525,0.8834778890221122,0.9369489802219625,0.9841344913073422,0.8315105705453337,0.9111072549840769,0.8868937909850519,0.9733072581448841,1.4333241331555189,1.1100734634162726,1.1782871717238803,0.9598608682460077,1.5997262670484353,0.9326912342334966,0.9447752434029493,0.8931428848069447,0.9028084042957376,0.9358937247887775,0.8982040152608272,1.0575950671570575,0.9499670182389709,0.8139295240571685,0.7870537179357378,0.7640959162932245,0.9092113660281703,0.8196737634495955,0.9609349215918362,0.9102542365695167,1.0747942903666179,0.9604559485470193,0.9018198285255081,0.8287785539368374,0.8934835193990622,0.8651299145495385,0.8118334722321254,0.7974774331769785,0.9909335330967747,0.8509747946228701,0.9158226261376176,0.8166769829334976,0.8249342274175996,0.976643643525145,0.74548529491532,0.9308734762865482,0.6646961365150003,0.6571040900014761,0.8706274364404805,0.5674491914666877,0.5630807946875049,0.5276618910682859,0.5434961231355457,0.5566761212782372,0.5984111275958993,0.6088554055730271,0.6467714461776233,0.7915732185890405,0.7820802064584084,0.7230006823000328,0.6689099639523124,0.6477529396570395,0.571884248920812,0.5260925897482173,0.49842511064005696,0.5696256446208443,0.49566262812632716,0.49343693958607654,0.6787390920956132,0.543263988453304,0.6393440965833251,0.584774967202103,0.9084180715423121,0.6363725599468042,0.6531596761199008,0.9913399743860588,0.5901033005287479,0.6399595020162147,0.6239050304346111,0.784176479327584,0.7131643474205526,0.664860788204467,0.6354197008063546,0.6264950982380436,0.6499393485184507,0.5999563154255192,0.6157583195814833,0.619391637482466,0.6080362631271061,0.6838071448049041,0.7161394783663438,1.1595270204847115,2.0315862212455627,1.1591550988683423,0.9255608812158495,0.7893495909602303,0.772506389683668,0.7363955137394758,0.7327854906470418,0.6117057655495531,0.6756317459345644,0.6084616733098803,0.6550953991907241,0.7127767427799061,0.6364201098829803,0.7695401564999133,0.9476456558123183,1.2535748183490178,1.3246324063673582,1.249117667504815,0.8571866042826839,0.8306182379035799,0.6297483041880823,0.6725943684049763,0.793265344904437,0.786665730179981,1.041135427127648,0.842674297310939,0.8824876764420884,0.6765667988636572,0.6806358605036467,0.6546202327645723,0.638081152588808,0.6611397815909522,0.6583088236752414,0.7386432527688968,0.8541721229460896,2.050950964816571,1.2238178125224206,1.3428204478821553,1.7115244817916802,1.0789517045013115,0.8786448101048182,0.6090221352407482,0.6053731515870864,0.9231668381745544,0.5386854405208318,0.5739282511226604,0.6057001504170735,0.6448393489945953,0.7570038481024133,0.6145131028782724,0.6634226001244456,0.7242675736328297,0.7024931767675069,0.9390850785655007,0.7954685039139984,0.8877014196111452,0.808832669922822,0.9698798719153594,0.9199282461017309,0.9053445786222747,1.1186451411869733,1.2797865558819463,1.3563385433467174,1.1706605545731876,1.447493342335112,1.111523659209041,0.9849739037624663,0.9522296961941252,1.8699688830640744,1.138364474324374,1.7790572159591262,1.0500810440161799,1.272422104036709,1.2873735349826503,1.2474255561436394,0.9580694422824775,0.7479233702639723,0.8694248366088306,0.8403799257724234,0.925285867011167,0.7268646687151321,1.0539640043102423,0.8115007710576653,0.8553441890783614,0.8315406231043929,0.673150860995578,0.693776635477967,0.9501217432936354,1.0657554992815113,1.5556576132622162,1.7477536900305166,1.9219930337013467,1.4631438684279556,1.3479100076858301,1.7218929046939135,1.407702580564232,1.187998729633747,1.5492124361368935,1.591644050271554,1.1582754710268663,1.2830103371592172,1.551800582047638,1.315659487496984,1.1167086006035771,1.2730407559863879,1.0486822430124714,1.1486383461429313,1.1644875090027746,1.1389390300252893,0.9508094534811279,0.8188222160318074,0.83898842249962,0.8212844000457084,0.8786030339028718,0.7648621771863419,0.7741715059252984,1.1202867830966285,1.098732755469454,0.9096406921082815,1.0109020054397442,1.294415451627348,1.4041333201463941,1.4532585273978922,1.5814178305377753,1.8284813799181223,1.7013769023844836,1.6756830612659652,1.387945522866063,1.3344243549092456,1.8010471072667698,1.6818798352384106,1.7418183108491885,1.8030136504580039,1.1290420643415822,1.0394026352021222,0.5786164486747085,0.5527134046430343,0.6155018078764578,1.2478992142946224,1.3249307089814188,2.254782326966645,1.1566884512789126,1.0864217741720177,1.6746247387458641,1.0247875085121745,0.7170196584839186,1.019482588935106,1.5491725712576607,3.1559287551647337,4.95660656395201,5.776522282572864],[0.7939151166690038,0.801267910126621,0.8909820343174495,0.8241982894699488,0.9073460575267678,0.9054433408326538,0.871735336425921,1.0105822246871077,0.9168709331597362,0.9034540704315129,0.9694286118680577,1.1453272566510302,1.0569810095305385,0.9715376219915551,1.1424073733705618,1.164939539983688,1.0950118253866559,1.1630831663472239,1.1339983113843561,1.1480428211511085,1.173653570632049,1.206950169179616,1.2097423632904147,1.344221939719057,1.1709086209777027,1.154575427364778,1.094171803011358,1.0866192921196256,1.1663473716909096,1.2311770259320414,1.3199512864606238,1.3030295071192333,1.445780705686347,1.4711509820916913,1.396483464787384,1.3058058470061515,1.3332374457725686,1.24282423543072,1.1750928504653217,1.2676212147102595,1.3600186365724942,1.1982895301745504,1.2922712907178888,1.2046410428652143,1.3587616229847679,1.4430031384880802,1.438084476705636,1.6066704555959217,2.1874099815120993,1.9195189083200228,1.5215685164289532,1.8671384019198878,1.496629284148234,1.3514115864121095,1.665945865344272,1.4622245059695114,1.4359477951974997,1.4514975435168207,1.5792893363639704,1.4609290625875853,1.3301497592351124,1.5037260106782946,1.5785842404978694,1.6082362214711556,1.326909881203098,1.3621865342982622,1.3194749631530034,1.2401530338600923,1.2441261708072855,1.2175137754736407,1.215463902413794,1.6141954060103518,1.371610693485016,1.4342351949350611,1.3929320221789487,2.0952435087298027,1.4656151416491516,1.4948979689924995,1.4380566105491572,1.463748772208385,1.4892292990476663,1.4663233343131263,1.6377413804186598,1.4670330189541543,1.3064323576451395,1.335364809754847,1.3072392059138773,1.44532280017463,1.353902509955179,1.5200761404509335,1.4624798869137339,1.6177498240150707,1.506590851758256,1.4645460464764142,1.3525490662027477,1.406257602198269,1.3331702464687405,1.333610369794737,1.2948374339810833,1.4963501965902974,1.3640336838793834,1.4168058667554653,1.3525139675500457,1.3085575209307805,1.5317791780934444,1.2008935054444947,1.3490685655001524,1.1002709270781101,1.0848011421855799,1.2069084851977463,1.0199255115554602,1.0325395016853411,0.9774088442982919,0.9634105362974098,0.9800235766440435,0.9623675548106407,0.9593580166572929,0.9608309712108702,1.0744455550486842,1.082148383978991,1.0086909417851113,0.9742364901685224,0.9372037281202318,0.9027611144322722,0.8764303807633052,0.8605774561531234,0.9773439266330316,0.9161903352524384,0.942075120211372,1.0365324307695278,0.9923773404504437,1.0684101840704114,1.02264351675848,1.2097974886468588,1.0355785120567913,1.0428588234584408,1.2321114664495671,0.9635306408118147,0.9617473825278153,0.8873865905065327,1.029916161388897,1.0294749668543983,1.0602058275798985,1.0049452409577002,1.0460547512963274,1.0949971585332736,1.023820229917259,1.0693945508544855,1.102575318586595,1.093747609330274,1.1781259663938857,1.210106011470743,1.6380959617036213,2.336165998345661,1.6336672725060013,1.4553501509204063,1.2677269928243866,1.285216074447683,1.2366462708408887,1.215542855096538,1.0754903515099143,1.1718347688819315,1.0059463392661465,1.131816964369904,1.058979829947824,0.966555468587328,1.0009408644957039,1.1150552430514222,1.3025828180624854,1.360652829691472,1.3054318401812488,1.0392102904684961,1.0912941603065005,1.088458495868719,1.1635291288201015,1.2998269126687787,1.2699478268564381,1.4968183594800781,1.3088707291112882,1.399361011836388,1.1509765072518972,1.174791938556988,1.1507515049215784,1.12516367190368,1.088425688989457,1.1331330837626172,1.1361507630324845,1.3373717932091322,2.144499971750068,1.5774062419897805,1.4875539717423927,1.7278222639104088,1.3126973514785054,1.2400111560962,1.0521824072900943,1.0635586196525284,1.341033444470128,1.006383931198505,1.051660226032059,1.0870515225763786,1.1118089487811629,1.1765685729918633,1.0930064094655418,1.1255786761855449,1.1335295873213582,1.1161152740804348,1.3671798209594528,1.2523530858514353,1.2347022699987347,1.2502084308004002,1.4129403391671138,1.3470544962246669,1.3002044573362748,1.5255060575425097,1.7196636140715336,1.8065761135257947,1.5834171870902987,1.9199754521840235,1.5682996521861061,1.431558443725225,1.3776448068043918,2.1751051387645495,1.4396651827201248,1.8499826055507371,1.2262275026949152,1.4398577244189563,1.4828771350359056,1.4789761706870277,1.2612070846679515,1.1378449281702985,1.2634027222832198,1.2600204048147672,1.3415658647170732,1.219236701935838,1.4805849454589142,1.2445318422759615,1.2303562323073767,1.259161870129826,1.1536554549258924,1.09431108329591,1.2870683726188432,1.3856491938494302,1.8000331546104495,1.9727333275484287,2.142087651292964,1.7191491642925507,1.5606476672323029,1.9327953831899318,1.620950829895045,1.4385830913855164,1.736748131263272,1.7620821563239186,1.3831538834831625,1.5064923583210905,1.7329011177602196,1.5076258963253584,1.3729887850787457,1.4986610495818453,1.3417510107235149,1.4138453654009047,1.411129240534749,1.3795999326499406,1.3160871859212693,1.234884599465741,1.2051455465067231,1.2409709443652763,1.3149982379779133,1.2183628770506465,1.2344109509202625,1.5850519118026651,1.534633292410487,1.326367716397868,1.4643685898106173,1.7021761911153772,1.8242940286394755,1.869994213643574,2.0108782488825554,2.2239702914348918,2.155671066291537,2.076949745840922,1.8085641832753476,1.7435949096358117,2.1425960364793992,2.025889365359887,2.0939013259551613,2.1240591800024307,1.5105135105635872,1.40532170134927,1.0323452318335802,0.9394911418152877,1.1056045334546396,1.716338252484618,1.7567065667061315,2.6046250850819352,1.6408672741769577,1.5293805917637757,2.089706530599011,1.4316729118114722,1.0684664014380962,1.1745057622461712,1.6479386546616155,3.21021588199861,5.011160912400241,5.828886549478203],[0.44140202719238764,0.4394225274496778,0.4999445588699795,0.5346916447262104,0.4892927213031414,0.4694770915707057,0.3621744439804229,0.49331309398987927,0.3813299629582754,0.3613399890576453,0.4324992810479745,0.5898212014887138,0.4787615732681877,0.4386997345174548,0.6520276826732007,0.6242301364223783,0.5311295070088499,0.6531843158606967,0.7064485920144846,0.6642306156343174,0.7507664598060619,0.7524133325476281,0.871497362128148,1.0649974086795992,0.7429589171388902,0.7383119917557164,0.6243935535948832,0.5659850716548258,0.6023827264292336,0.6488271850320839,0.7701949091926361,0.7433720593092379,0.9234164526458039,0.8768507697323976,0.8071948982956785,0.7121530483369354,0.7021063725356791,0.6143278422871338,0.5613758264671337,0.6154411143994738,0.8615320619070196,0.6989441006142461,0.7148088412044483,0.763156194719421,0.9104153227587602,1.1959720319299294,1.1314138230562636,1.0768915088407611,2.04728092018542,1.845097085129922,1.1130665653894039,1.651311266893654,0.8463055728327904,0.7282544855659069,1.0361640474984026,0.7889907298764472,0.8173641064368609,0.7858874498867582,0.9035372764584355,1.0240254633841892,0.8423373063523765,1.0725043801629126,1.1175283594054288,1.1776514417427442,0.8680007817540657,0.8887854962576893,0.9437494529934565,0.7972065126325891,0.8898095760336746,0.8426487323183938,0.9535940909142818,1.3946137806740533,1.0797363029629825,1.166442773078006,0.9281507818542507,1.6142156103289502,0.900103208939463,0.9432995253385016,0.86532095965351,0.8501938205867605,0.8661868602748453,0.7960507779657076,0.9804429725027152,0.8149883969244821,0.7182192378234272,0.683131735911461,0.6635747565029644,0.8439015782661218,0.7603145324530425,0.939638428563399,0.8858771241464183,1.0988161205649443,0.9620456707378243,0.9021960680267657,0.8024188033845896,0.8809502857713789,0.8157493177436959,0.7991387529496966,0.76512257371999,0.9773819320801505,0.8204871371988796,0.8738942999256918,0.7532991160846239,0.7549842598217504,0.8813751040748177,0.6601506353141866,0.9028970343134625,0.5874813111654591,0.6085302341553395,0.7922625980722644,0.5227106712190565,0.44746038811160915,0.4146461845699285,0.4058584094244198,0.4128834539023516,0.4217301575153705,0.49658982968522536,0.5386635932392412,0.7132276419421948,0.6965597143323694,0.6206287244307168,0.5421333185274926,0.49596134132526365,0.40268356505308983,0.3877841879418451,0.3746066666155231,0.5464445407499756,0.4464764490840482,0.41422719176039957,0.56188397500634,0.4630955638571635,0.5378846157707254,0.46233324563563993,0.7921027611918603,0.5003192207625196,0.5431533697972186,0.9017844325624702,0.48719990101051497,0.5814372402761432,0.5491723366145017,0.7293711305801983,0.6841836286857673,0.5651043638010689,0.4989987006826354,0.48874206252673014,0.5328775740927559,0.453034542335336,0.5080456932178395,0.5049487790557449,0.49590884680379005,0.6119563779954612,0.6636870533950915,1.1336816376638266,1.9800715183195254,1.1069541496049549,0.8819627373450812,0.7246419073243661,0.7001377568972652,0.6535854506207572,0.6420976624966241,0.5024029386041222,0.5660040510044646,0.4854889626966024,0.5262721115891817,0.5767936585886297,0.5778161804648816,0.7381961637954321,0.9781130011460017,1.3314529422236852,1.3557406165609864,1.2860079764986359,0.8228453379375585,0.7758058838613674,0.5225991912219378,0.560719164186893,0.6902192412617213,0.6998753169841724,0.9824095303293323,0.736002183152553,0.7934988105630674,0.5746043986956059,0.5723276017081127,0.5480984683283867,0.5168261451563594,0.5090692443571797,0.5426394214859926,0.6079624034170077,0.7079537302394732,2.134521505957823,1.0924633570779507,1.4347447588265365,1.7310366261443646,1.10628719729034,0.8966739413368441,0.5600348777023509,0.5899942424287367,0.8969200482346258,0.5116324200915077,0.6134990858394234,0.5533623641562386,0.590239468244376,0.6511472603929147,0.5491228067830518,0.6897735918452581,0.6807367633309606,0.6579334794299571,1.0412654453222019,0.8527338268190469,0.8519439238792478,0.8088849531544392,1.0270273430282872,0.9420940859295036,0.8899783848607076,1.1851964928958463,1.3671577117090303,1.4801965247603657,1.2809175516731797,1.650061726108451,1.254698499359378,1.0686376893899534,1.0480285154965945,1.8843237589128117,1.1552437521319439,1.6749534184051933,0.9770852342269635,1.1687105050352888,1.1841962692812702,1.1074463111593553,0.9018060482550202,0.7162298029383602,0.7338630946823408,0.7915656993564592,1.0379269938876998,0.7652208245089661,0.9772861134558571,0.9907764959102932,1.0014864173981335,0.9549057224095756,0.765834594268763,0.5908451290755209,0.7966020511521654,0.9115739767090403,1.3790059777244066,1.615033314458542,1.7846491732142078,1.3473234050282195,1.2756643630067577,1.6652014566890556,1.3442914650862134,1.1282302964557411,1.5479526256802743,1.6194326129998449,1.1400081688446362,1.2898261331397032,1.613083623845329,1.3724653119255705,1.1261949774016045,1.3036854356277694,1.0532841624017788,1.1238496866816692,1.118827037992166,1.0696068901556024,0.9390629688790663,0.8099278918251499,0.7835955679045807,0.8440953052971579,0.944803708453179,0.8381609544320511,0.8564882713853093,1.3030078709271449,1.264609990613126,1.0596331139842274,1.2092682787297118,1.4917399524343373,1.6306080713770683,1.6775440539321491,1.8783549449689438,2.1151994724732157,2.0147577603580182,1.9002237958913821,1.559782191732715,1.4645108908505107,1.9731219847246002,1.8777235745850338,1.9756987902403293,2.021611361369882,1.2968087680561222,1.137572081497675,0.5938929221848893,0.49977067701747113,0.5886868210256889,1.23352760382986,1.2318324762435284,2.209401790918846,1.3119629153250636,1.113198072514119,1.711696449789404,1.1156300710812148,0.6843620679347028,0.9415603298794268,1.3046880297168268,2.8723474516880376,4.59548674001271,5.33498901632422],[0.44382611418170337,0.4430469430696028,0.5010198418564052,0.5638554771184534,0.4969850252630846,0.4434457136135771,0.34165664181596234,0.4347708024774031,0.3449818940172122,0.3386204828440412,0.3993196205616124,0.5436833796707293,0.4466532782025053,0.4342243139689783,0.5883154652974727,0.5751592771608625,0.5183609140942358,0.6408164680214671,0.7277702469946477,0.6763457343530394,0.7900009109667228,0.7704140392505638,0.9236138695360813,1.1543140440531028,0.7611832609372025,0.7626991735199716,0.6329763477462423,0.5692454291055139,0.5834651901681956,0.5953622356736955,0.7220384719972194,0.6835733453681316,0.8765637930835953,0.8321611128353459,0.7517690536537833,0.6727561637739505,0.6539735216919301,0.5820154310971511,0.5478790994493908,0.5864844758170454,0.8328133656485929,0.6997970637463763,0.7229929155395715,0.7788789708260718,0.9855838154387209,1.2474500907240849,1.2320323965393443,1.1111144379158089,1.989941572465777,1.7290195802538333,1.1717503302150676,1.5878528297565264,0.8461840932381826,0.7428869003198499,1.0357262051150593,0.7937443811186009,0.8240056164971689,0.7976153848687404,0.9245514859853182,1.0230668494648127,0.8524055875989273,1.0581823165607316,1.1123132017946757,1.2136801385342015,0.9022520718836498,0.8929893705645344,0.9943360530615875,0.8098635998126182,0.9303125460400519,0.833017616270047,0.9732004432479437,1.4174384485077858,1.0592952636596835,1.1891790609834028,0.9172364063321142,1.6269250062924039,0.8903025331088794,0.9241291643017098,0.8317345401088835,0.8170827910573296,0.8076079682743696,0.7646042450141356,0.9857419273466292,0.7752626369115923,0.6720156352684757,0.6402216174793254,0.6286104031566507,0.7991325051505935,0.7346421268492886,0.9078319198342655,0.8528211877335004,1.0447452336333278,0.9212758660598444,0.8439743521727662,0.7433068030520888,0.8117443315207176,0.7446454402348984,0.7394806119936652,0.7062454331545105,0.9648158074321928,0.7576008322510601,0.8217006834347151,0.6878830268438093,0.7140871916959881,0.8489739366715192,0.6183328507935376,0.8491796035501836,0.51553067015771,0.5329558061993159,0.732952210582865,0.4539914655234549,0.39720557826957353,0.37962285859835637,0.40056023958326326,0.42949913204317264,0.4786346756999252,0.5208597924138837,0.6109359068272121,0.7856788982686526,0.7186033013447066,0.6607830611202696,0.5746944164169497,0.5668883342535268,0.47191409232343984,0.39048776441846894,0.37997664136447673,0.5426543878900462,0.40911779697756984,0.36239789368242736,0.49526247723494793,0.40867558991120356,0.4745939792566797,0.41273281841859916,0.7142469002103002,0.46605594784534055,0.5049218244846169,0.8987578029221701,0.5115983700795362,0.6176803168741993,0.5853127920263844,0.783622157583287,0.7587443834436879,0.6200784687154125,0.5395298443367605,0.49634313892708304,0.506317475978686,0.4437926318888972,0.47846073113545784,0.4672560666786332,0.45011048836902584,0.5556751553307168,0.6301507099874452,1.1093859296529271,2.0014520042622532,1.1450114608368696,0.8549704283202914,0.6553136054548203,0.6471136558578804,0.5931623991979116,0.5801666992233538,0.46887919022050767,0.5216720581454284,0.4699435917213008,0.48127672057808196,0.5489416666142465,0.6059403156332362,0.6907322130896031,0.9634200561706202,1.2628630289141274,1.3198412443382492,1.2207849813436005,0.777028394221673,0.6820044106195972,0.48316315929538484,0.5074040537723301,0.6397826286849365,0.6374278693493762,0.9168023218391047,0.6665216823079231,0.7333674963620238,0.518122647116351,0.529182628107714,0.5147401728697976,0.5002584311622476,0.5062721516125379,0.5456540051493076,0.5914004891445317,0.7414472835379117,2.1389788877993516,1.0327429061933455,1.4770761862849073,1.845538332449797,1.1692752755899798,0.9157543973624529,0.5457628508103147,0.5603204150489028,0.893870363973119,0.4676087849969564,0.5809434232135156,0.5120654725707193,0.5275806128478305,0.5883579607853522,0.4922509305635161,0.6456392101330409,0.6141216913838908,0.6014396855139716,0.9825965983749794,0.7944775278214287,0.8074735308540693,0.7457919501746427,0.9547842527201938,0.8852661694772216,0.854180786823747,1.0888969430208024,1.275968131007614,1.3916143767551754,1.2225471291064138,1.5804919737398009,1.2043227647101808,1.0170907781621645,0.999744547836143,1.797509034789774,1.0950869744677885,1.6160351461531326,0.913789960402669,1.0977787060592548,1.114532148885366,1.028988270110713,0.8287894020420554,0.652103020337794,0.6550353935700836,0.7409207050282256,1.004030121839744,0.7236571007724217,0.9483017137317683,0.9901045088174225,1.008403799880225,0.9570511516299932,0.7405121301053662,0.5258270372807073,0.7297855255180272,0.8434384312762413,1.3252901681863338,1.544239096325426,1.7303344177673352,1.286516369076835,1.208859750894488,1.612094056499229,1.287858605557982,1.0651687899912865,1.49355051642452,1.5715305001702828,1.1026743952408298,1.2482752051308672,1.5788532585970754,1.3542709831313144,1.1009037410779028,1.2716041214420775,1.0084784196297945,1.0662664641206918,1.053905774897365,0.9969449875865952,0.8752497926645856,0.7484076272666721,0.7174722763458949,0.7873396635619072,0.8997183130623637,0.7943863122875757,0.8136193032316873,1.2930270913413577,1.2370327558647747,1.0463292883328876,1.2082408999379206,1.4782280328506023,1.5946971054812897,1.6336684831072377,1.8477219940392557,2.080896533205775,1.9672309579381306,1.8276720100640733,1.4923268792648854,1.3738845879711954,1.8847014125529293,1.8146215078809638,1.9351939035286077,2.0047322369482097,1.2753873427395774,1.1061206624845163,0.5668181721889985,0.46745158389999286,0.5295585360929801,1.2439002753265331,1.2339455098400813,2.2505892377753534,1.267327243348596,1.0474253668666313,1.7026336293356568,1.1283654538410914,0.6707477383134514,0.9023790362896078,1.3212244159208468,2.9389401234815,4.652044941108127,5.358344570751431],[0.49587941475432895,0.48863189943870716,0.5189937405133908,0.5712728568215816,0.47887918503650084,0.42683827213686065,0.3233816658568743,0.43901844677467616,0.3385387166712737,0.3195890407647646,0.3692484950291026,0.5140454835029618,0.396948500583687,0.37883409517479194,0.5504539430924044,0.525348085024014,0.4682115284383417,0.5807695398017961,0.6571753111317169,0.6016294134333544,0.7214151915673518,0.6910990411051199,0.8362535190333104,1.0825223884254354,0.7024962803249588,0.6959139102292041,0.577946856969908,0.5034765913646526,0.515724216395057,0.5458705414196966,0.6742989639727192,0.6432686081354816,0.8310671990986267,0.7791121965787215,0.7017445903060092,0.6121955410409586,0.5884058267955861,0.5152908366199733,0.47889951121762026,0.5138579436305535,0.7778611373423404,0.6349561965971864,0.6470300447054973,0.7170726030018261,0.9519254503199127,1.236494014856171,1.1928703032938124,1.0689190892287932,1.960586395932995,1.777150754480825,1.1013779054802146,1.5936934535624456,0.8043047657003046,0.7077577463051973,0.9922146865058906,0.7087400411009366,0.7457019736307485,0.7246941225034133,0.8395244684230242,0.9750824601873043,0.7846927595906293,0.9867637670927415,1.0517466865895373,1.1143375033341132,0.8175311898890094,0.8206019100275175,0.9199687211755153,0.7367529472568094,0.8719146842728416,0.7777569322629185,0.902995307670727,1.2984714730474163,1.0008886040194411,1.1161320353295097,0.8566917313932798,1.5677578424649086,0.8216561587719898,0.8561652256980529,0.7641192877382101,0.7467875864769811,0.7443661425815633,0.6917361442338424,0.9251727765750483,0.698024236566458,0.6074169207477557,0.5778786054880658,0.5676310132369825,0.7329150919326758,0.6667490764007967,0.8541593899131283,0.7921827821107624,0.9955893809894548,0.872007516042856,0.8007503167663835,0.707475417585408,0.786139685157347,0.7169201125848105,0.7065734176777594,0.6708796188292233,0.9256656833296588,0.7269755645519601,0.7822441617166791,0.637176987426284,0.6623339023763664,0.744687282093091,0.5837074638052069,0.8262151747018743,0.490235181517128,0.5238569144104723,0.7333963719490517,0.4424564235001182,0.37709388123509213,0.3557195902611635,0.370387483635653,0.38673854166932714,0.43659229810544986,0.4878661373724218,0.5661569924900712,0.7252068873788203,0.6606126730083293,0.6036022488049223,0.5351561430293307,0.5193909336460889,0.418518606764756,0.36875293873559367,0.37642309719080275,0.517816976011363,0.4067109403287261,0.3656012810590619,0.49913244496287784,0.4138690675991465,0.482515917814396,0.40235207194590017,0.6764511913578836,0.42947051083478416,0.4806863183868879,0.8894915273468407,0.5157122261554854,0.6224399662089752,0.5536597737855418,0.7684015818585512,0.748370717794712,0.5690689257778624,0.4816717097391938,0.4331422279579853,0.4480575025410132,0.3871478385085654,0.4346592060114362,0.4339502075797018,0.4352692212807797,0.5430167513474092,0.60610852763321,1.074952414202249,1.9572191884100958,1.108077327440478,0.8144100284947293,0.631917571027022,0.6049216655366533,0.5497400942593978,0.5403982967160019,0.43585443669610224,0.4655929430736721,0.4169326199257226,0.4192490478589267,0.49591058797697524,0.5970144484685972,0.6897216179952967,0.9953123065737324,1.3396726999390054,1.351227659091201,1.262712120086609,0.7841129740746485,0.6826453298797817,0.4572120023556237,0.45939140044152615,0.573148655182892,0.5881942189944454,0.8716206098493793,0.6032120910074077,0.6593744220046797,0.4826599672950424,0.4869806242410479,0.4780788636381296,0.48688605286365794,0.5122288282408727,0.5189654773997463,0.5164597470453159,0.6866361129451147,2.1660958883451036,1.0261947769466913,1.5483545470719489,1.8338874438669448,1.1839061664626571,0.9400421945827034,0.5499870413045985,0.5789447771803338,0.8622116300493219,0.5068847007250155,0.6211623159468583,0.5368045415141898,0.5278753083948898,0.5792455735326716,0.4881172314654613,0.6466645109356172,0.611288045368519,0.607165011805527,0.9587869967859828,0.7851163744520582,0.8208725056597457,0.721067979546278,0.9202619836346556,0.8673223888499404,0.8642960321809212,1.0377679436242397,1.2270166856037525,1.3643737843299506,1.188434560931552,1.5869063974942896,1.2015060195953564,1.014731531912349,1.0112237613142234,1.7127186071974019,1.1002902608480738,1.59680986876558,0.9191527984751702,1.0676306051442412,1.0719288629200314,0.9598348702474075,0.8069810564817653,0.6542419086188598,0.6118812036910035,0.7518877625740429,1.0630353141048194,0.7691849561325819,0.9636128057238281,1.0825783838140486,1.090251790725722,1.0273047524457841,0.7865323191902828,0.5084378797364242,0.687641721199375,0.787675109038421,1.2753067433592322,1.5021939787636223,1.6865343338657375,1.2769367928747715,1.195375836567985,1.5917830023381936,1.2878327666535208,1.0665378841834734,1.5224816330542232,1.624482044095833,1.150150949146482,1.2921881280540783,1.6555090723587278,1.4594758892609903,1.1578023284346914,1.3249250566166884,1.0264742784186167,1.078325975410921,1.051727351926521,0.9742597027117481,0.8695435919256261,0.7399515213659272,0.7039168948736982,0.79205704575161,0.9040724367028317,0.8038672068433832,0.835183892535238,1.336815139737425,1.2637512527770762,1.0932634703773256,1.2764590970999958,1.544336268718518,1.6457331591012612,1.686115751934774,1.929079224171813,2.15338217909782,2.0241422166851204,1.858811733634137,1.501316022692139,1.3650777757706476,1.902686417474734,1.842543986835284,1.9791569946550607,2.048222290064271,1.2997725567305576,1.1040553611451025,0.5785146805253614,0.4696224488909526,0.5096570320431968,1.1983272995306027,1.142149001166923,2.2155604908815065,1.305535010902688,0.9761794625738659,1.6252821972821208,1.1573736828507013,0.6427464691222118,0.885738636791074,1.2379487513307896,2.7639582505571836,4.395930395149151,5.031404782190541],[0.5398212155936033,0.5076181651846756,0.5293228642732852,0.540076841231899,0.5240199572845325,0.4710782373774671,0.3798697186125785,0.5139842802520193,0.4023672148934852,0.37728105947004636,0.4357710992150479,0.5606209391594829,0.45656401426932564,0.43025340340543616,0.5973632108431286,0.5611174206114639,0.5145107188404588,0.5973886413251738,0.6507463314310613,0.5991841065339948,0.6971900986022999,0.6624406953332399,0.7843342149319652,1.0432085081627356,0.7315062331806951,0.7013552949891824,0.590476369775748,0.5242379572268691,0.5430304312682577,0.5844233295049367,0.6991051717970721,0.6703984245860605,0.8323687975697095,0.7984681606046514,0.7283609034906091,0.6460127754883253,0.6308554117157104,0.5530453232389527,0.5135282387072194,0.5488848040649896,0.7896218343703917,0.6277412418582367,0.6449825837191224,0.6861558285612038,0.9400291960880407,1.2392305579182459,1.1737014147199996,1.0857623876314342,1.9650499664137275,1.8687265925940681,1.070235188662808,1.6125534099859262,0.8254672139443449,0.7341118877867333,1.0243521987920658,0.7281693024598449,0.7617561958612799,0.7409022305698814,0.855835652716895,0.9720369341294706,0.7870126543455884,0.9702523956638718,1.0587381019925324,1.068763009013144,0.8000152064149788,0.8164149188654481,0.9073365631235587,0.7275501331478202,0.8747422536560229,0.7912378036850664,0.9082378873632095,1.2347402043353572,1.0011906222295137,1.090125089303491,0.8621587982485759,1.5719851977363222,0.8208398096315943,0.8502950442992842,0.7708128445251997,0.762305414047739,0.771274768347265,0.7276205840510545,0.9580411295077906,0.7465078952640112,0.6599613017867286,0.6264620720481899,0.6052821983754969,0.7647534046676707,0.6889492709199019,0.85760390420465,0.8044254164098407,1.0048110756145932,0.8832374114684409,0.8239491971313734,0.7380387641253496,0.8207257228487954,0.7509145705115762,0.7348391272164065,0.7046806977169945,0.958325989451086,0.7637879101939109,0.8260230711694138,0.6909533403757965,0.7280379729898544,0.7999527103824466,0.6464094433326713,0.8868889396682356,0.549376828743251,0.5763643778658034,0.7825770003228455,0.5027069595827405,0.4461798629551158,0.42629754780667983,0.4269474730472581,0.43862954265167586,0.4949852086203345,0.5036121723227792,0.5544408168182248,0.7081226145276847,0.6446390857977281,0.5920287130268466,0.5321974146096411,0.5178979620266402,0.45458853769853613,0.4132941510631658,0.4187821057384447,0.5026803903332806,0.41700843600036425,0.426394109439664,0.5493353570539057,0.4840283777448617,0.5583704982948962,0.47391722376532436,0.6724320796762833,0.4780950869049626,0.524916205005811,0.9359279096292588,0.5468978745728085,0.6222964695843105,0.5403144767129391,0.750301745774089,0.7484315218590156,0.5903047677463449,0.5061462506605209,0.47531098600809624,0.49794341030882167,0.44919720123628293,0.4933001808101873,0.49569272525322805,0.5146893381210126,0.6082561456988468,0.6660255713421088,1.1367516633056844,1.9370905764371344,1.1333990453444291,0.8724773592747938,0.6990294669356284,0.683430153588474,0.6102807905350666,0.6172836611797352,0.4933269575261912,0.5163613316955069,0.45650479192663046,0.47992089707725116,0.5448156488776652,0.5465615111066925,0.7580265547261427,1.0705654187589173,1.4513573289216477,1.4094635974744272,1.3330518489289773,0.7972803145359829,0.7343562214822447,0.5103278804735276,0.5181884509349857,0.6239878582802594,0.6314410243656997,0.890404275873422,0.6392703575518204,0.7154998159885629,0.5283607922278001,0.556337483140175,0.5455402979796471,0.5717030634130112,0.5884349865432139,0.5807762139991115,0.5358897219541991,0.7207178467934486,2.1833801201110608,1.1139480126343457,1.5603395210582853,1.760024902623184,1.177756038741703,0.97223747618961,0.616323504685654,0.6768648602685099,0.9243312914848648,0.5831140945378628,0.6863779988969796,0.6146819783424571,0.6095218257111344,0.6703756231213152,0.5700426745982655,0.7060852132622044,0.6860235690571869,0.6779077566668368,0.9902390157735144,0.8374364574081864,0.9012174966141984,0.7667276922870739,0.940489030674471,0.9081372853449605,0.9277671709346992,1.031592895112906,1.225492439406973,1.3993776250783934,1.2225377661447003,1.646851825418378,1.2538224058229783,1.0740551583046145,1.0955346272690039,1.7142222039818962,1.2091272143916882,1.6494508042655422,0.9702683855833663,1.0979789442195491,1.0922498178136284,0.9830847260604055,0.8907313132643726,0.7426370823795615,0.6941206456425576,0.8528123115994106,1.1770007071301163,0.8798559685823772,1.000204240585915,1.2146661243056815,1.1677259779919877,1.1024396266545144,0.8633938687056311,0.5848348278159572,0.7229745644199788,0.8271259758307667,1.3050411475004853,1.5478386750083795,1.716342793549505,1.3584510190470123,1.236253027717547,1.6280513141397404,1.3098698036086427,1.1325408916194453,1.5948954706323195,1.708223987184563,1.235299945457568,1.388957789206132,1.7623611468940177,1.580099271096984,1.2499942300023685,1.424707048282364,1.109341252841671,1.160141401959666,1.1304439574865528,1.0470008426245974,0.955435433995161,0.8177356522560565,0.7875322701686377,0.8736304148613863,0.9678235956035726,0.8815474618753908,0.9411561309626006,1.4173615657077898,1.3203692067749482,1.1665400819790501,1.3620176859652977,1.6450943826112099,1.7327361254178217,1.7709438756174625,2.043433214411984,2.2328731967659095,2.0967005209962584,1.9090059385444589,1.5417858293381894,1.3991174634912247,1.9451731832042392,1.882881063036463,2.024842525490088,2.07716098076169,1.347462256815979,1.1229993820070632,0.629919333361416,0.5301870295272126,0.5812749993971663,1.1990777041691127,1.1164032137083908,2.2293974282715547,1.4007496932062424,0.9863721865684497,1.589678239187772,1.2211803723214143,0.6818231519188652,0.8753206477537797,1.179988414925393,2.5046520411061564,4.096787472109086,4.726935034171683],[0.4089905537592538,0.375741833791446,0.39392767319595906,0.46916095343532804,0.47793523490564815,0.4297611346270634,0.3417367995548385,0.46613530187821073,0.3811013838084905,0.3850225115411282,0.42939691959013127,0.5159797619674257,0.44278480651073726,0.4451731815919764,0.5773657631538088,0.5340900546482011,0.5263581469677209,0.5930478370769192,0.6774487867716357,0.618104960403313,0.7281040512888803,0.6730679780683526,0.8345017099943074,1.0609531015684048,0.7493734137140319,0.7199277240700634,0.6176980702517321,0.5488545109203021,0.5393908319786227,0.5561493051829272,0.6418939671638763,0.5942050229537253,0.7589408961924664,0.7368030965533738,0.6483547599179152,0.6018583269686094,0.569334702351866,0.5293873861916067,0.524516146327739,0.5154838600395857,0.7712707004165985,0.6588135043467197,0.6498337988551381,0.7388601323564694,0.9965601761533843,1.2482890190208606,1.236976073251499,1.0421451871774656,1.855467566907305,1.8178048980585402,1.1120768924179403,1.5472277735211202,0.7531784586068353,0.7014869358661032,1.0183367827550982,0.6773929720206435,0.7110833267939355,0.7217673851107324,0.8113632770807362,1.007866811156669,0.8157329203909763,0.96409493767435,1.005173949340494,1.1031766135200591,0.8210134288296547,0.8047231892900613,0.9269566169061142,0.720256569693328,0.8615552619861939,0.7831915950964863,0.8909602148566996,1.166260137196698,0.9517545671975957,1.0783366827438883,0.8299537188081948,1.4977324657375441,0.7609018931194025,0.7775381225982645,0.6975154140889993,0.6929924285236665,0.6988340215824089,0.6508520139267406,0.8908481106167033,0.6553649369374304,0.6529178577556681,0.563641200687917,0.5732935501181098,0.685076220028524,0.633676284386043,0.7995750297882933,0.7300667797456445,0.9091409159493636,0.7990714934230638,0.7610053335304939,0.683895842670863,0.7681291530082385,0.6766891937874179,0.6646473259040061,0.6239671775014948,0.8812696946171626,0.6633691646895099,0.7319568245799871,0.5717340692322352,0.641226323823695,0.7098569114378736,0.5736271181460341,0.7782592194115822,0.47546799293881814,0.5360070586807033,0.7101001688296515,0.4579330262562206,0.390874516573531,0.36554567978475594,0.41811796951623664,0.4435916851887811,0.5248690312551682,0.5430050284100557,0.6296020231715086,0.7999722400509803,0.705539432743723,0.6715485508054286,0.5962747892297748,0.5740857557532082,0.4954098047613842,0.41484821157841406,0.41573138583200364,0.45262166735479004,0.4504786825130623,0.4082791904564363,0.515314742294005,0.4746309163824977,0.5110704563152662,0.46174461039608417,0.6255607716405368,0.46952230850493787,0.5089587375496739,0.857813148290345,0.5759590566956241,0.6834033416444828,0.5424357620103789,0.8293615160546289,0.8687287427384348,0.6845688439144066,0.5636739301274841,0.5204268744470589,0.5074704923688098,0.45532632272575535,0.44391792001024954,0.43488823564651247,0.4569495313502883,0.5457222699139377,0.6081122179803086,1.0380726909627909,1.8929042183835563,1.1172700192140843,0.7726114196781808,0.6064279239994594,0.5898327607503703,0.5165826127867306,0.5403675896937301,0.46629318408600146,0.4736245575688778,0.43563041015076875,0.45868727773306983,0.5196998808185436,0.5818295690079711,0.6979610384759988,1.0407448843707898,1.3892483386871681,1.343579216031572,1.255174298769464,0.7380886268103216,0.6507775541912567,0.5011684159688604,0.45221605391313224,0.552697955293478,0.5375375254135659,0.7867055570567123,0.5399158121694989,0.6141585223763619,0.5005399762757252,0.5082513196414277,0.5238955586122191,0.5696852596849689,0.606837430584357,0.611374386297786,0.5245091577690839,0.7605663924048878,2.2512066551810412,1.1121137811983153,1.7155536143870658,1.8888025382273608,1.2888501447870677,1.0551077386898728,0.6729663182355816,0.7100636361409597,0.9013429433967101,0.5724114213912052,0.6604864538754902,0.5466024915417895,0.4864120042386203,0.5288735539074515,0.44630246073039087,0.5888342169010834,0.5424548243158187,0.566579675296439,0.8478561986139019,0.6801667238828384,0.8199854345629363,0.6311387626651344,0.7300787064787109,0.7701729206029824,0.8736651179935686,0.7923201942458196,0.9902169622492129,1.1682142173953871,1.0698656528979054,1.46447023368905,1.0746277111263245,0.8976651597372033,0.9385931522540188,1.4743714050762495,1.071013582619516,1.5699785082385032,0.8115823528987449,0.9018725866345368,0.9144257030313401,0.7718922593094841,0.7369091129382531,0.6233934677229515,0.6539553012568377,0.8419854780574942,1.170350892798462,0.879335292522082,1.0271595251121364,1.2323586952551424,1.1605412722317112,1.1285152961207403,0.8263491408559581,0.5033571818660215,0.5990255037051746,0.7536802429827274,1.2053472925592237,1.4104552032510382,1.5984741889118803,1.2808485620058345,1.1013632174237757,1.4942052726558748,1.230041118410191,1.0376569594121796,1.5148480611230035,1.662109141884314,1.2039552074782072,1.3184307672089786,1.720240438381263,1.6059632075250787,1.2228147696808822,1.3681472325186677,1.0091880646554503,1.0499796544641085,1.0153556532039043,0.9041255611287421,0.8120683076115914,0.6792758562933765,0.6484284872533429,0.7400925894342223,0.8351084598252079,0.797129054760979,0.8803249894149933,1.3694108403054515,1.258250374409179,1.1305569797557906,1.323999703507874,1.611272392802958,1.6936401370772556,1.6985678124694934,1.9618853435264758,2.1260864139604,1.9462204426217717,1.7470343150622012,1.3726514456068732,1.1840069378789106,1.7530088394876322,1.7468888391728592,1.939271049707348,2.0068646582861285,1.26162607920266,1.0218080005008279,0.5826875763022629,0.4612769772343056,0.5143254254237857,1.1826435441398375,1.0703286404073702,2.2858594676696424,1.3472632538877891,0.8034167894769237,1.4893762089198281,1.2849308135627011,0.5998683173145182,0.72947946212986,1.0256157881295644,2.42081425738497,3.9349006337519197,4.4627188290850475],[0.4682528557487941,0.4566649429336691,0.5334312040798804,0.5937902539416557,0.5700810266351396,0.5121425731292985,0.45801484030140327,0.48465132324163684,0.4732756772834494,0.527292134805477,0.5395305965093424,0.5685994765653836,0.5386732248562006,0.5861815630386027,0.6719616563660111,0.6159802472282921,0.6217493365553575,0.6889543367311021,0.8025011750196634,0.7178303118923615,0.7807479771501233,0.7534134867254342,0.9229973693865323,1.0623066835314994,0.9083714111251155,0.8496084289587174,0.7492165359337555,0.6920141102719756,0.6477793876242499,0.6087619791477243,0.6971650976584675,0.6422456023292992,0.753759082771008,0.752186634498916,0.6607179320551285,0.6324680261018321,0.6133041763795036,0.6390193347870371,0.6360512943000143,0.6193077533611973,0.7617360416859783,0.8057949391450441,0.7973495581045624,0.8616977017639943,1.057872945766231,1.3103982691106308,1.3064755893822144,1.0577849573242548,1.8915239560019834,1.9889060267898597,1.1981354858623807,1.6049093370345486,0.8604478968113084,0.8246562628474554,1.0716140174129412,0.7865779995900926,0.796091921121162,0.7886628734611558,0.8292736469821812,1.1137690651825927,0.8534226933824565,0.9995672492399346,1.0068573935296288,1.1460026541859685,0.8809711835913343,0.8496444357309294,0.9238839718793053,0.7670593816514242,0.9089301218437859,0.8516579006627191,0.9660649529866018,1.2309303948211823,1.0058128712551229,1.1175194076763797,0.8905720400638817,1.4559644294177132,0.8050212544755286,0.7788257446742746,0.700994822205901,0.7185908309711215,0.7203723793878656,0.6928278900946331,0.9050575992960522,0.6637217349177192,0.6946062711695864,0.6050543372705309,0.6469792260773097,0.6878711129394555,0.6735319612399554,0.8106526303739852,0.7510867011393816,0.9298605094914091,0.8280503321905931,0.7971858509389425,0.7372449604739254,0.8233683529277014,0.7503687631071452,0.6930059807911864,0.6403686202773213,0.864984594947483,0.6417970204092317,0.6716133505687563,0.5610631950824785,0.6197122235646172,0.7276431103619,0.6205839084915016,0.8092934815973554,0.5364038466287844,0.5824862060619713,0.6985706024135291,0.49548746886807277,0.4725997443730308,0.4573279130035142,0.5335213802702589,0.5766189728336959,0.6350612700223156,0.7186663652323128,0.7695803374417745,0.9092430035754757,0.7912231760634382,0.7769895143798722,0.7286423671321115,0.6920597085120712,0.6050032698970105,0.5467976095447684,0.5319049941965377,0.5719957200278392,0.5433057049939575,0.5042791537033711,0.5097002742889236,0.5930273201884939,0.6081458725554301,0.574362189406489,0.5877411811497509,0.5369708513298516,0.5542721527912525,0.885486235057209,0.6586833745811099,0.7768029277248918,0.6571665442921358,0.9492720734483481,1.0099699816681165,0.8376559554818384,0.7159887782912205,0.6697902298293436,0.6351612160115928,0.5855042979459854,0.5452667818746348,0.5093119133253835,0.5110231784258166,0.5527542504549987,0.6094886654621391,0.9863707805875683,1.7574824271180123,1.0627490240581885,0.731150518598377,0.5859892855408824,0.5575653157625174,0.5337907772384969,0.553666531882919,0.5298579799399218,0.5671612918479917,0.5605829169512436,0.566538824490606,0.6021503942447947,0.7166766901248276,0.8095332711997051,1.1843993824288692,1.5194798427453846,1.4164933032434701,1.3106339165860479,0.7910342522951819,0.6900199347811751,0.5814901533344663,0.5031496036224657,0.5829021178112344,0.5466814173744398,0.8249856528435939,0.5280342590686316,0.716454946939487,0.5737850181866152,0.5782137350460137,0.6274671617024326,0.6721906309280261,0.6928525199822572,0.6850439515843447,0.6287511007417195,0.7882618251394542,2.2244152556957024,1.1220221847075822,1.7374337947276308,1.805117086517862,1.3577477034499175,1.164788288091915,0.7976891110849045,0.8759954050129877,1.0281276333952423,0.7448187658732502,0.8358076717517344,0.6632871473211984,0.6098541422635799,0.5556922701369076,0.525361901743921,0.7277730096602895,0.612566642984055,0.599333693844866,0.9555425827001734,0.7955413275740478,0.8423925063638871,0.6925101487137562,0.8095916785708448,0.8496066961727593,0.9565181966625587,0.8493746408568257,1.0567127006318138,1.2325382330697678,1.1593407275530663,1.5784846518820774,1.193086894265968,1.0059072059426348,1.071338077564955,1.518182937594966,1.1407388536661376,1.5072929957196148,0.8596023400043579,0.9144842525091403,0.9275028343241665,0.8002737330589088,0.9002476619455801,0.7918289266302833,0.7427051104472279,0.9993564041517345,1.3309284642400376,1.0473848580912588,1.1507638275145273,1.4452364588707336,1.3725599759451486,1.3244942576726237,1.0186365633882906,0.6103310124937574,0.6380363522493748,0.6995938593060043,1.0638191396206103,1.2944379316336374,1.4445471837868116,1.1844475115173443,1.0434142289048942,1.395846608309416,1.1572688514691274,0.9847240060461202,1.4762147928277916,1.6336877490820911,1.1956773808657186,1.3272122744965669,1.7450179000188881,1.6721279945034835,1.2717016347257268,1.417027849620288,1.0613260324921892,1.0593809608008,0.9946622813688789,0.8844140000366508,0.870645823104016,0.7428827989818048,0.7153629037743486,0.8615410145205038,0.9524021558184592,0.9411883683281469,1.0280825585586295,1.5134970126449019,1.3954946020943957,1.3070371295404875,1.4962829695445845,1.735496069164496,1.82204312868627,1.8280486681549715,2.124272037601532,2.2938668178169084,2.0867684269720854,1.863172633877008,1.495090887602396,1.2999974371076233,1.8561123963859578,1.875103227106423,2.0784249234600716,2.143603660505116,1.4045742781193884,1.1539792469597883,0.725408032642191,0.5464869302302656,0.5344009602348773,1.2141670343569626,1.0151638758290014,2.1886105398100013,1.4916892619408433,0.7974402901397013,1.468865192681776,1.3648481760916134,0.6556634123419769,0.7072605017382315,0.941247975183763,2.320175445188224,3.730748838374146,4.192397886600372],[0.6530193258161872,0.6612742400894448,0.6874798450602161,0.7385685407058727,0.7821589649142614,0.7620647339602268,0.743394770201482,0.8577583949361959,0.8388479054032258,0.8138448733934022,0.8631987228893482,0.9090108009966547,0.8567862320873808,0.8425642061205044,0.9038647812056462,0.8943235820099112,0.8799199789398824,0.9021189871510793,0.9515909100406053,0.9073989347429477,0.9529113353098032,0.9055152320688102,1.047090351120661,1.2038471714802208,1.0870374784515604,1.023435548387738,0.9474487208954917,0.8881965768931759,0.8784476216997809,0.9169515538764983,0.9111737741686781,0.9270421522701279,0.987221193241475,0.9803907932108982,0.9310145596478954,0.9114399969729429,0.93476187425785,0.8937115556284638,0.9023110003978391,0.8951280841203497,1.0099758406125243,0.9977627993448626,0.9976138445012199,1.040293086053804,1.280681274772012,1.4941262226197285,1.4876739983564242,1.3483610796702867,1.9289220944803387,2.0341162230783385,1.3992903331206115,1.6195196254425643,1.1370963276898904,1.1003321659937235,1.270847741005257,1.021143916795979,1.060543120132803,1.0154174349324299,1.0302365720339923,1.2734079283792317,1.0338870636332074,1.0981135698348665,1.1651975035335096,1.2007318630463002,1.0300443438797884,1.0462379359818832,1.0751869338218678,0.9382909551508706,1.0373172281673917,0.9959844349964837,1.0443689915856633,1.2771825920782485,1.1196171625888118,1.1854596595764675,1.0607186731437692,1.6291370638865204,1.0014067932730075,0.9798800783943616,0.929109499831442,0.9470624603675238,0.9486582852986141,0.9683175702071075,1.1623459173154975,0.9406866083476088,1.0062383596807964,0.9224867561186778,0.9288016772725004,0.9282395991785725,0.924807020773421,1.0283536519160654,0.985310015852631,1.0990602574381427,1.013727700464668,0.9902837233442836,0.9580467820342389,1.011291670335003,0.960923343841772,0.9564693204559375,0.9744200056989138,1.1032385996105532,0.9695041630965129,0.9966049862561474,0.9170085530369609,0.9576828738015184,0.9914411121773532,0.8940047071679474,0.9822328715795166,0.7603599384901053,0.7862226520509153,0.9356360604977692,0.7665709018240552,0.774024560125722,0.7749958477072261,0.8076952655599992,0.8333868534853275,0.8489906083185053,0.8941299976374948,0.8998402289799373,0.975597035517272,0.9118593002543778,0.9026728439365567,0.8713603988446961,0.8183716739746584,0.7993282824493708,0.8063227448974695,0.7677003096401296,0.7463519719540167,0.7437488073460811,0.7388131526937002,0.7896457216452903,0.7430262877552566,0.7690583023099846,0.7452501546552933,0.8540657898748215,0.762734270867158,0.7900262308669362,1.0453493007343335,0.8603239193451683,0.9075823765597665,0.8109924505728725,1.0271278324866986,1.0871796001704193,0.974308544304133,0.8829454252643328,0.8733688949280932,0.8821108489572803,0.8383240863915047,0.8659729126087417,0.8492703736778359,0.8693161291785552,0.9269296321806807,0.9879317925376323,1.2657077231143836,2.000798356833096,1.3732187563497213,1.0660812945194567,0.957246860054598,0.9445026098652716,0.9026172739404239,0.8912574765881167,0.8426577823921313,0.8751370670720097,0.7923466428809364,0.84699605771526,0.7877033700703046,0.8255056846503316,0.9075033413602154,1.2637320207692329,1.5655635457417907,1.4729555021792067,1.3912485473246066,0.9499948574817063,0.8748458238158341,0.8439605885494761,0.8501017896211386,0.9579434969608137,0.9441056428313073,1.1422907532703503,0.8815381255991886,1.019295175050177,0.874110204928187,0.8531040859371121,0.8470520196621809,0.8633214294511695,0.8798914631994603,0.9060110680997912,0.8573298605612512,1.0259942898586762,2.419929043239185,1.3153934233592344,1.8407882173435226,1.9435881313995629,1.4668104277555856,1.2684891487492802,0.9279513176027512,0.9762421512651512,1.076594134188557,0.8268931614820609,0.8774603726424111,0.8012521016450079,0.7337372211225266,0.7826637433627827,0.7254300605068293,0.7824802411921689,0.7607352601814369,0.8311703127841598,0.9242269996426046,0.8052478476596261,1.0441809995145384,0.8896656603262549,0.8365787248937349,0.97282674654908,1.1868739234310521,0.8910838673129994,1.0522631764915635,1.0981759469853238,1.1809200868263343,1.3984761504228516,1.073720575952963,0.9596934217434777,1.0143425794732117,1.3945699637620352,1.106892636621027,1.5760215883316577,0.9394959504400796,1.007430047602071,1.0494599880725743,0.9341505324852364,0.9734566302802482,0.843792063086285,0.866012036009731,1.0801447216801758,1.334496997193131,1.0855517206141847,1.1873255816045503,1.4710315317571359,1.3752868373994407,1.3645359622709243,1.0325819772097813,0.7739905933034836,0.8124606426162074,0.8614347177148625,1.2152693273560997,1.4385279645107074,1.6207169160113721,1.3334999099785307,1.192036148586136,1.532452981909681,1.3419091916468155,1.2076768223656535,1.6493197137397386,1.8306484079110499,1.4324476805044812,1.4872654601320032,1.8738600488586041,1.8672087207097778,1.4440120746201068,1.5412164954087033,1.1725412909998691,1.1769666911565326,1.1323490699010226,1.0095336968320472,0.9534261738635067,0.8484811289825611,0.8062058502181141,0.8741135291512088,0.922596181406895,0.9221278604136927,1.0254185917669139,1.4558515060149937,1.3181435239771329,1.2532851749209728,1.4358612125616688,1.6767240882140884,1.7282320135939404,1.6747433858485998,1.935753134906777,2.074977555089404,1.8701256298978015,1.6240109070950814,1.3132581925443743,1.107420062007476,1.5825817074700956,1.6407946776925533,1.8673207307699087,1.9832788959099268,1.3174284077291338,1.08096670319805,0.8012211489157468,0.743858899757525,0.8502470562470049,1.3077165121004908,1.1603267191309354,2.320239664231017,1.422253321566809,0.8956409750725569,1.4131232828572775,1.4842404040252235,0.8253770910484559,0.8744534375284577,1.1476344333457058,2.369107374241414,3.674310898729003,3.9994526064594456],[0.6213665326912915,0.5692563573171895,0.5295386810757364,0.5170960685072711,0.5259977210129763,0.4391366638590543,0.3396726026677525,0.4898029123157491,0.3656589248515801,0.3409502465102575,0.4084976662740184,0.4784110052599409,0.38156200070332214,0.4339454875283828,0.5484269619374557,0.49475888255562794,0.4973485658212029,0.587808998678661,0.7130432238465825,0.6305564536830689,0.7382552638956252,0.6890715132604042,0.9056679810976571,1.098149049924386,0.8632321699941976,0.7969999270372765,0.6714746057113496,0.5641614167701303,0.504464078180809,0.48780525849682044,0.5963442434304823,0.537219584956992,0.6209669244277498,0.6099376531802332,0.5513617208383852,0.5354034947824452,0.48680364527229036,0.48022455474391396,0.49907676017287383,0.4886984798358516,0.7469316290156673,0.658241158911722,0.6478476909101414,0.7747443049298299,1.0714921403116113,1.4330430608322136,1.4225032324191544,1.0850586626294427,1.887262326134206,2.02856143079066,1.1092847565051154,1.6579910708920762,0.7885809357690368,0.7656537108849645,0.9243566370362464,0.6396718181421975,0.7142617577045325,0.6380746230857817,0.6976984295316733,1.0955864068162213,0.8044307057600468,0.8970424913321827,0.9700285689691537,1.0098396809299008,0.7838027929179092,0.7979222181305117,0.8613187254745308,0.6852047923355021,0.8729882593595445,0.7933189716149942,0.9361657530483738,1.2121589610794052,0.9652085885160275,1.0696172513730742,0.8254555441916226,1.4361400293912245,0.7215548698854604,0.7118527293011279,0.6150322462056969,0.606124769262898,0.5754663452903634,0.5766474355358111,0.7734670330919137,0.5536917054071495,0.6185203621514233,0.4780175296473589,0.5172066945755686,0.5838848359536514,0.5839103182546249,0.6852090603846244,0.6573252978551973,0.8748456172377961,0.7649573186894852,0.6801725088023362,0.6219403832256917,0.7111111395596582,0.6414317680258016,0.5813971819288976,0.5573448976722422,0.7709953591793266,0.5805009245491589,0.6629550354840225,0.4826561906645487,0.6079083420439927,0.6753949652501899,0.5821237986798641,0.7729556428590915,0.5918442646731774,0.6400229240587925,0.7476145772275341,0.5518420426123953,0.4019903683516308,0.34258618396923957,0.37835507562618503,0.3983057775558417,0.49174406854735003,0.572395361043809,0.6564207461931241,0.8352876455737707,0.6748452948775945,0.6452723242579951,0.5899794575584635,0.5639238419791266,0.4232624367154015,0.3728350217779238,0.40160095786812516,0.4737389975273916,0.49379049168498357,0.4798982536151917,0.565779140924679,0.5579726639054017,0.5699191937392739,0.5830641933325218,0.5762735264995449,0.5508150352022022,0.6173407099276197,0.9286045650197384,0.5998340828193689,0.6634474892808888,0.5460593324270706,0.8317924631078568,0.9261424160861345,0.7340660530294848,0.5884063899836877,0.5291305237743702,0.4704002888804157,0.42884128101357566,0.400767604521445,0.38824233911478,0.4290060737013234,0.5664419162860339,0.5946996426134162,0.907153887125179,1.6983131348523535,1.008771025204637,0.6774867464444283,0.5394288166768145,0.5558516435271333,0.4463374787378193,0.49488990292918605,0.43466959781133835,0.4359786740125767,0.4235749787101691,0.41906900571110234,0.5303912435172002,0.6589201017630358,0.8321326238066713,1.202279723509443,1.6137117451207528,1.4488016734232767,1.4003122688910443,0.7737465526931006,0.6782876624081986,0.4925351194361127,0.425823118908531,0.4850238857504899,0.4949900653043082,0.7066741843072948,0.4831661861727999,0.5572005999674855,0.5143365442429856,0.49306980278333107,0.5437976621451631,0.6231570659844525,0.6710816709072289,0.627761000678712,0.5300434682073263,0.7846187922678663,2.3337616409099966,1.0895630799447185,1.878636653147513,1.9796340559976027,1.4788085712722427,1.237851907840507,0.848683975665458,0.8949489908813366,0.9722845463233892,0.7301713466665902,0.7952319581713221,0.6372383154457476,0.6646694229902795,0.7268463459267721,0.6096810106304065,0.7303620757894941,0.8192469752780792,0.8844308929875396,0.9003426534415266,0.899361755752268,1.199054708449493,1.0314709858215956,0.9842260067425211,1.2067911750702591,1.4422264540259773,1.0541499252135855,1.2417735906042275,1.176039614453941,1.3765304108864767,1.4438585090071188,1.1657599441602928,1.1323180027530735,1.167691316216494,1.434823849936753,1.3039056246160754,1.7529790364909357,1.1034498126053054,1.0753308897777947,1.0566446836774324,0.9009892283340009,0.9920870255682721,0.8748891307758088,0.8685501021398604,1.121229216931837,1.4061530673459475,1.0918485415501056,1.135913640998235,1.5097496912445456,1.3743579437381874,1.294700510145637,0.9749877355956478,0.6552606236576085,0.7203446547876879,0.8979308522467166,1.2191477788982128,1.4340408167026517,1.549015919717766,1.3767813657321684,1.233817612343427,1.5036799536836432,1.2944331312803299,1.2607220873461427,1.7471394578368522,1.9255842514615569,1.554675166397126,1.670240534631728,2.0817850781082976,2.0956853392259256,1.714662394319448,1.8121608405961147,1.4046447715601968,1.3798683262218574,1.2867568728448326,1.1517378228818882,1.1348200290502977,0.9815177720742793,0.906607245222324,0.9893734114760682,1.0242172391046558,0.9725546722340132,1.0866302616730923,1.5141816301058333,1.346038682844737,1.2895775306574766,1.5038863398661355,1.745717900765276,1.7576654137001917,1.70151365395308,2.0199387754387335,2.123274409946392,1.9417695405633937,1.6404733656203672,1.3083195818105977,1.113283406942673,1.5553327891581294,1.61236544310392,1.8641763919029206,1.924979320516693,1.2511083482102952,0.919328090117262,0.6574446010654234,0.578183522178068,0.8102654684359131,0.9935880377014354,0.8335823922990954,2.0689375176566216,1.2301181719034961,0.7159346189147127,1.1175624905127157,1.2655152340594071,0.6012035085188939,0.8065933146970427,1.1102685446289298,1.8891946069328867,3.1878420227578377,3.696461383773946],[0.5766545863681565,0.5609216101323571,0.540210166614362,0.5178425923394292,0.588429298679418,0.5400934261115574,0.5047798734940582,0.6532763341901929,0.5320091029867281,0.4586006986300245,0.4866849919209379,0.601669878726278,0.4929264949396465,0.4379292386798103,0.5204909692531904,0.49786892465462756,0.4722168557958506,0.49230592391233985,0.5369266781537553,0.5004052998712893,0.581188261837012,0.5482311710014951,0.725256891881445,0.9368894995719526,0.7030455616094761,0.6318716545387519,0.5461377042175207,0.4721026192541551,0.4635050045198642,0.5275943916745512,0.5356008645704041,0.5919479251998128,0.6482128962184573,0.6007952199826246,0.5513283290654976,0.49965725419952456,0.5556283875722718,0.47289348435161566,0.4733294547688333,0.47498220171194494,0.7161113576354804,0.5646100676697596,0.5441834873817318,0.6960814353104061,0.9177547150439856,1.3469982559486842,1.2711274459881081,1.0208806661038805,2.002972803948178,2.1776460532636928,1.0333556370537387,1.7517230040154204,0.7394177263392182,0.6946605498675823,0.9252256532860264,0.5766643483331587,0.6447791873742726,0.5681185885719765,0.606004305331854,0.9582591961118929,0.653624148691721,0.7762875108109326,0.8309514144693415,0.8413449805972061,0.6513125594434458,0.6722814923910927,0.7671733865602508,0.5816817177467415,0.7546367265818652,0.6863730323267285,0.8450538802094113,1.101650679675103,0.8579120443909027,0.9394843112439047,0.6856330643544295,1.3358376725784094,0.5815873084959111,0.5978155489978774,0.5347711777545147,0.5174022864822462,0.6001515906845276,0.5584607324609416,0.8672587696120427,0.6762071494986922,0.7231908750703204,0.5330480011869697,0.5002685460227735,0.6172429463362755,0.5143497369243768,0.6585254960489972,0.5988576252091286,0.8087749710203516,0.6973415033478838,0.6318962131784948,0.5932079317457338,0.6767093263798654,0.6183306037539614,0.6275867778336788,0.6512846768338734,0.8698118899865559,0.707733997203995,0.8110264333926216,0.6492239966370257,0.7789701343318043,0.8244126168478221,0.7160619391424184,0.910857394936335,0.7245740479876561,0.7625047821125818,0.8343276546658386,0.6794714307062077,0.5611833069728344,0.5229099739756475,0.5099605210023168,0.46091277237499256,0.47463621846876813,0.4998749577147788,0.5136658496878223,0.6860459193992886,0.597464392723729,0.5554565461977942,0.5375772066359892,0.47606228002831635,0.4385986306860157,0.45313676697162947,0.4941452847342899,0.5925558823606504,0.6281004499261578,0.6003031276494499,0.6948332400424461,0.6155771704518295,0.6274513986558699,0.6378843918965368,0.7011526766993945,0.6216283918002525,0.7381301130963084,1.0816107120546825,0.63562098468727,0.6192146577070573,0.6028582491557242,0.7609834068707136,0.7763234838117599,0.5763992187742112,0.5066122803607459,0.4670558895438846,0.47582283831463085,0.4534782569648042,0.5230250076114963,0.5442152434290604,0.5901815382399008,0.730649085295049,0.7433356304772539,1.0258239208118598,1.7030902957952299,1.0362545984219476,0.8048686026551914,0.6894649880354201,0.7166667625281757,0.6002529002766309,0.6654742058335718,0.5675083984430359,0.5045938756685531,0.49417721099325496,0.5122309311437492,0.633549822948392,0.7017611996983939,1.0120236687617612,1.3669240250890573,1.7945938342274093,1.6167660850230554,1.5838574650598922,0.931759666182734,0.8857403316030864,0.5639004144122695,0.5607687072289833,0.6503447757966101,0.6437454506930043,0.8669574626343576,0.6456025415860942,0.6623262590190152,0.6702024966002207,0.5855376089119095,0.6003235602648885,0.6426060682226378,0.6433461166357473,0.6166248345368635,0.5255677775454818,0.8339310888336275,2.366927306857486,1.1301147001379948,1.7896017463118894,1.9300499099518427,1.4314105573618159,1.2250278180579772,0.8398527494403416,0.8721439446198576,0.980654275659876,0.7181389338313985,0.777490026753007,0.653663237352787,0.690752264415078,0.8050516045503998,0.6785081364278179,0.7393996773123815,0.8518758617022686,0.9277530018351494,0.903106016058639,0.8874819642163276,1.2063317341493902,1.0138431673134207,0.9376403936447152,1.1428570397694622,1.391829993365031,0.9939032274186239,1.143377438388367,1.1446238273138654,1.2961492594313697,1.4210501047456578,1.1283848025436354,1.06969179078722,1.1103603541490288,1.4114510137027347,1.257003327361951,1.7540334398679907,1.0884618899730443,1.0933429524783493,1.0907024681330477,0.9284651066836926,0.9761836941932682,0.8647598127458037,0.8647142617510796,1.0479193639768551,1.3354370542409595,1.0390895904829436,1.0713970110141156,1.3975155536550428,1.2463076194566176,1.193223827225987,0.9225241942459872,0.7021651865326953,0.7825794427207687,0.9708220513731667,1.3173103807180278,1.529785797470695,1.6565861391197765,1.480114247961205,1.318925308654234,1.598042539636548,1.3964950200350266,1.3260220875761333,1.799698054091903,1.9769375495209702,1.5892033609022724,1.6790156107548033,2.0903118196255464,2.0880178245041696,1.6767486293898701,1.774569698348484,1.3848127360936402,1.3735753318724715,1.318933477287912,1.1688431976871505,1.108823588898329,0.9655016984641993,0.9044322899086464,0.9467914943315711,0.9816973131663043,0.9395098189533037,1.0223558156284505,1.434657804586852,1.2794986003711877,1.20438985890944,1.4058846162011864,1.6535386309502698,1.6947456694901568,1.667730761784592,1.9669006364408332,2.091249467522419,1.905992566538654,1.6518721893877724,1.309022830570522,1.1359076577207319,1.6200519496366999,1.6415798062833518,1.860848582475938,1.9074322146336187,1.212828558988803,0.9179293979324178,0.6715432898559899,0.6743165374043696,0.8311500039493587,0.9602026248110287,0.8370706695379598,1.955412096547142,1.261732347975316,0.7802164040932879,1.1358307153376395,1.2511793606292019,0.653410987035997,0.8727895398308828,1.1419398501465572,1.9540813399106882,3.2201662025454714,3.7488258310137113],[0.3781366342914761,0.37624917528619506,0.4312732297797379,0.47308054863307697,0.4867814947791767,0.3743164544463721,0.2988663904554198,0.40806308436683286,0.332620999845693,0.3413831275273024,0.37713221027099314,0.4568839308427919,0.37542043962298816,0.38998106961219975,0.5002126737384854,0.44378431623353165,0.4448256921477564,0.4985094159862376,0.582784993889337,0.5197193545914393,0.5929303234041786,0.5523186894867419,0.75917237470409,0.934458249888051,0.7453608720399503,0.6720240418748145,0.5609476619349497,0.4969357180339157,0.4558102424228015,0.4676823672137276,0.5233976044767124,0.5097223714042163,0.6059665107011097,0.5891850540984512,0.5114051233115631,0.47196982810269755,0.4796873735023459,0.46272085157288234,0.46406155351467687,0.4532820817747786,0.6572392196523221,0.6168560301563534,0.6058679714634493,0.712251939290597,0.9197030552485388,1.2477502680611496,1.200581706994773,0.9832330067945461,1.9033797334324174,2.0209414628423983,1.0762025257429746,1.6044912433360672,0.73219864380709,0.6901049934471053,0.9539341997983508,0.6157195612533414,0.6461798990222342,0.6151484731706488,0.6648361925461667,0.9834378216906173,0.6804843691065224,0.8001832130717192,0.8463076947415179,0.9300880290487737,0.6863936847895754,0.6717018851124853,0.7692848153171111,0.5901442262012512,0.7532424123004651,0.6909522175668965,0.8323703949951505,1.1059636485226614,0.8617733159618837,0.9623344849850548,0.7099269902854014,1.324084049556429,0.6110821842509829,0.6029138331079983,0.5283727023442333,0.5355566720093933,0.5804768128307163,0.561924258623593,0.8229341560848225,0.563064878061802,0.6188904531903567,0.47293262623815036,0.4893439800098421,0.5609512727290054,0.49874845033906956,0.6615003827065027,0.5971156984130016,0.7885784429600116,0.6722640685704877,0.6204799515089036,0.5708364563480869,0.6590383594417097,0.5988547156501437,0.5587505320956437,0.537489507944344,0.7881875152863775,0.5629882874362956,0.6212339895917662,0.47234559787479646,0.5772319863818377,0.6541349450582498,0.5352264328429662,0.7407821657630734,0.46181730314128916,0.5107717508422828,0.6582887421528418,0.42189990789349585,0.34902434509823943,0.32175859551910807,0.3857324107154634,0.3952196813026395,0.45119086370256123,0.5272179767516622,0.5598257185008138,0.7180929451672666,0.6074635180155977,0.5827588858571345,0.5376896146481425,0.48884278613611826,0.41223042659486286,0.3698768767607037,0.3709512963548553,0.44081029467706123,0.4296962938372014,0.38024260939902466,0.44849726692101854,0.48030462799470713,0.5106735466806142,0.4704707838806402,0.5182748161709554,0.44855270722311236,0.49545803497338753,0.89129273159065,0.5500001333197604,0.6280762588718465,0.5306096935169248,0.7985309411637579,0.8203628376165962,0.6318170304386349,0.5300080236048419,0.4828541579141486,0.46485294938407706,0.4103468551111116,0.4030135432555231,0.3882097482528859,0.42033486570100664,0.5072625582392329,0.5625115848119965,0.9187516848613203,1.7271069403169508,1.0251973090248787,0.6683643234182087,0.5176938620104,0.5045602436039442,0.439559380861916,0.4756624570518298,0.42022684107202973,0.42148375159835794,0.4087262376526462,0.4228585844420633,0.48709331321933935,0.6046314258139145,0.7923475438577701,1.1702084091012315,1.5425425216952018,1.4368365594273274,1.34776476584002,0.7624398387483663,0.6632195060382204,0.46732665708288906,0.4044797480561358,0.5092472340418053,0.4761451564043453,0.7501115231829121,0.4636728050086493,0.6115070686647781,0.4943278426540343,0.4658885318712833,0.5074570226470929,0.5561425161461275,0.579686658602426,0.5665781406240137,0.47884187947924745,0.7326938781076002,2.2669916911483443,1.075952469238202,1.714968211602641,1.8406221956455664,1.333203204697836,1.1141395797623217,0.7150233596885033,0.7733439620056864,0.9275491129464309,0.631460393384771,0.7166466299887777,0.5746786302284583,0.4978836045094704,0.5014397882129253,0.4396839158597461,0.6118470499784123,0.5370045276108066,0.5823250908451212,0.8495682762583057,0.6792956891297535,0.8337250343769521,0.6648067795809696,0.7067674307063266,0.7904051612952376,0.9739799231540743,0.7652252364813226,0.9566580769369879,1.088457680100674,1.0701957265181934,1.403333500486863,1.0432336891614682,0.8703716488941902,0.923433898589153,1.3990075532674286,1.0266864173350452,1.4933633898838932,0.7890955739479685,0.8532400102761575,0.8677275960969738,0.7387266191296553,0.7853129010666051,0.6729393068485762,0.6489340386081996,0.9004287574478468,1.2155533378806254,0.932298558048448,1.0595084916721083,1.3330137469040755,1.2496406758264238,1.2229059464160172,0.8957874282905486,0.5272874925429967,0.564360404147886,0.6631213285031429,1.0689349242516621,1.248844223334059,1.4359882169032925,1.1883676650835808,1.0032344839766831,1.3358403032338937,1.1321534727793405,0.9831981800069631,1.458545207858809,1.635594980326081,1.2221873012843025,1.3058312936276735,1.7130746418514708,1.6802962043774956,1.2641018048701687,1.3724287439863803,1.0136008460111925,1.0037503056596462,0.9622907996210986,0.8310082919796536,0.7730526083020692,0.6582814711564905,0.6299707384838732,0.7377891257990706,0.8295929481134691,0.8159134486693902,0.9123390148294969,1.393207755420956,1.2641018207395411,1.1763174919608819,1.3619247340516087,1.6044836763988204,1.6766870230480118,1.6690598559990513,1.9236842266534013,2.088682033317789,1.88574659449429,1.6940956248357912,1.3423759865315101,1.1298011583519667,1.7067164100367833,1.7311383773615694,1.9343903987865412,2.0214524039828903,1.2868800828173865,1.0245395304812428,0.609880315198011,0.4573216814648564,0.5276616788968211,1.1002199797154226,0.9021993164074861,2.1388515577861753,1.3150703612737955,0.6445168563537151,1.3072413914397036,1.280760404245263,0.5465412853957217,0.6658597319788947,0.9660886731892079,2.3928671569990527,3.7204779479462284,4.07848387202371],[0.38357619413267996,0.3767942442601195,0.4044993726440668,0.4706625534167642,0.4619851208666809,0.36958920908436643,0.2889942502831484,0.4155875742176847,0.31045761405574973,0.31132279406976815,0.35171929797455914,0.4529091164498897,0.35511444652747765,0.3838574819820119,0.5234947577963864,0.4642422660108075,0.45586667482709103,0.5304644782521277,0.5975551649451238,0.5380447824825861,0.6071661458072574,0.5898747697619423,0.7596419276597413,0.960058172811653,0.7041927626721108,0.6624309679244319,0.5501343854086742,0.49931698185394807,0.47391823749429013,0.4944333733985779,0.5681152948715945,0.5345944690420457,0.6632508309355446,0.627941128510952,0.5619754251796104,0.5038102240406762,0.48744403240552003,0.4599482435561092,0.4376633959036358,0.4410441034393022,0.6677018331298528,0.5905344890338692,0.5799695071072757,0.6701336271209388,0.8914649891480873,1.2212491273464963,1.1464954018505409,0.9833793153175482,1.9291544198586783,1.9518000180759436,1.0381734016804587,1.6008626808047326,0.7445548705668839,0.6736541366661455,0.9541621918109938,0.616348581514512,0.6413150063293195,0.6122672766768111,0.7024459027249216,0.945306924530391,0.6952341865892779,0.8513890870511133,0.8907154263216278,0.9882786715766295,0.7036972035150583,0.6916810687631313,0.8024880390928434,0.6209295479876286,0.7678040318017789,0.711489882612003,0.8472878943228058,1.1573935911435973,0.903912117506131,0.9999434876841395,0.7421857133774181,1.401869017372784,0.6594343225893605,0.669050571946319,0.5864136871152339,0.5902947126917022,0.6209265691501974,0.5894615159046886,0.8354493434900961,0.5834807072093391,0.5805099371957103,0.49011881895320464,0.49255174504483457,0.5934700983562279,0.5335154406785816,0.6866053486595496,0.638699884511319,0.8417585153662698,0.7233699571980876,0.6673486408321799,0.6066940667172351,0.6930197167976097,0.6345884723358525,0.5992206801424664,0.5663823340383155,0.8310363264356502,0.6095037846631708,0.6724840087172207,0.5192549228468751,0.573652433827315,0.6625078185884695,0.5118298125809446,0.7581173840872365,0.43467082412095354,0.484979139623419,0.6669453032321215,0.390471181696695,0.3286456996737525,0.307335320121719,0.3703154346411589,0.37223721681419814,0.4590895008283627,0.5250784357700536,0.5753781563354661,0.715952916732542,0.6305976513504022,0.6016966616753205,0.5560793511620971,0.5234809301175454,0.43276077521512984,0.3747879317649794,0.3769435187873443,0.4624769959543864,0.40165889810279176,0.3562387699510858,0.4363398316268813,0.41704664924628254,0.46558844516050363,0.3991196574664745,0.5529205269598048,0.3964276866853534,0.4604990465827126,0.889462805397126,0.5014904435221681,0.6216646919880068,0.5320877551186797,0.7958872275046965,0.801386083109346,0.629472913725065,0.5137859384733301,0.4602733537451692,0.4349692081318145,0.3889508937650693,0.37726506597194504,0.36035125538123053,0.3838842103289771,0.5016000557089892,0.5605703789299376,0.983205076912882,1.79076032234444,1.02632883453582,0.7115019217318954,0.556309190780154,0.5232089228882235,0.4502948171736662,0.4759923152538354,0.39028357064804337,0.404318703386788,0.3934995344759212,0.405578896337309,0.5011390331155492,0.5932038420604273,0.7887156931983688,1.1464371535828977,1.5112177284004926,1.4405577668893168,1.338778583374611,0.7731872570156538,0.6779234917412691,0.4311235587611671,0.4009853953257261,0.5032163312301219,0.4911960554051354,0.7762844997755514,0.505737814139967,0.5977931636988592,0.45002060777765596,0.42613517819708124,0.44797280352668745,0.5047489041450488,0.5448746542759878,0.53252668445777,0.45925465689318307,0.673483576183496,2.1711608629019086,1.0661234166767215,1.5676098063348982,1.7351437368144433,1.201423409049762,0.9994374952004221,0.6105070544536167,0.655990739853762,0.8778205948027387,0.5527502026198028,0.6544878662590189,0.5128071674682234,0.47067077371188015,0.4965469313307373,0.40730307696942547,0.5983951863367915,0.5297622828539633,0.5365820604517144,0.8898517165652945,0.695539060525686,0.7969288511672373,0.6205197785319106,0.7680785210609694,0.7747361579737658,0.8572975444313501,0.8446256686124575,1.0456063288285442,1.2259513794720203,1.1006469702963666,1.5066006073889877,1.1112741247155913,0.9159554345127181,0.942937595229574,1.5297518130720673,1.046844609899553,1.5337149585598364,0.8082381347551875,0.933126505646284,0.9538704584122832,0.8134148416733871,0.7718623584889731,0.645478926956792,0.6175627375504954,0.8085191631547162,1.1410119393728284,0.8477513425328023,0.9889798030635609,1.216851767190171,1.158469090627176,1.1148351665011547,0.8285812546514689,0.48206677947539156,0.5798428302433096,0.7147674427933541,1.1604531604597523,1.3872483584075217,1.5635177012887111,1.248251489425675,1.1006564879014573,1.4761283505875196,1.2250739695767863,1.025225541164434,1.5088237453431101,1.6609985392459754,1.1962969093719733,1.3109054768052044,1.7170655078580053,1.6032465975919274,1.2046638032778743,1.3504606683071867,0.9992863868366789,1.0330126185035857,1.0016463840610326,0.8884036457470867,0.7929949763301325,0.6635035918790919,0.632726067869286,0.7362236851938148,0.843059275519973,0.795514423262784,0.8633674170976355,1.357268347340827,1.2636252036937086,1.1366835610881438,1.3114282621339448,1.5729985308643761,1.6800320412646255,1.7082496831200027,1.9662176493582235,2.158013694761895,1.9862891558554654,1.8171795032952462,1.4397032274755608,1.269476524048612,1.8544882639044826,1.8311464239765318,1.9948130107091626,2.0542712303518895,1.300303914521469,1.0805779839161442,0.5791290951257183,0.4241102189471621,0.45212252598592595,1.132096474071887,0.9983471067794997,2.2049142142868723,1.3739677009759363,0.7880404805238262,1.4450020863171849,1.2465304401717618,0.5648588761845582,0.7175243452781191,0.9855760027118361,2.407459020959674,3.8688974596409036,4.3462188564822135],[0.5506569192346559,0.5497012975092959,0.5199606339601389,0.5954963977278026,0.586959659004811,0.5498221144083498,0.4843508146645696,0.5788957357505198,0.5117705922190622,0.5013107034720715,0.511693845476266,0.6087110339732634,0.5244588963789677,0.5602077753832908,0.6452238033624975,0.6055193662719065,0.6199861189671945,0.6779154846320181,0.7655043345877764,0.705763515740834,0.7831023177707932,0.7563395595580127,0.924998408656494,1.1390894126307092,0.8419429612220338,0.824307006965706,0.7476251013507664,0.6788201876549426,0.6407477137432475,0.6259752032314744,0.706432504216866,0.6463994723038483,0.8013836469646104,0.7721296090239338,0.6997006844546122,0.6804324622335065,0.6247945877885495,0.6456694932731967,0.6521965994821614,0.643924911104302,0.8371092042505021,0.7849940041093596,0.780738732920009,0.8693531826108527,1.0430072543510147,1.340835041625126,1.3249146354920986,1.0629523167586543,2.008962066472184,1.9436196392777931,1.1721634137829786,1.7162213856788047,0.8285725424073315,0.8167731942012686,1.0843627419976078,0.7906951787807348,0.7809434622580333,0.793385963291235,0.85364220082211,1.0904473333767493,0.8456969261660182,0.9574576824782938,1.008935268114927,1.1129250234332582,0.8452684897589651,0.8394802448645695,0.9535327297774152,0.7761103249719683,0.9096132938566894,0.8449027781805669,0.9423890392802723,1.2133945441581897,1.011792549652783,1.1165745340169237,0.8750981604296771,1.4977822743955378,0.7962047202042355,0.8065408230336548,0.7332565560170567,0.7428923465203846,0.7385449613696801,0.7527817652990686,0.9010017585410578,0.7282761735569616,0.757581358297141,0.6467257049431124,0.6441739579030265,0.7178141971547524,0.6929329991383189,0.8266780402952175,0.7613206292981413,0.958210120266554,0.8439680388432176,0.7912372964878859,0.7248851354382195,0.8072421779502463,0.7218302174788199,0.7173574214069064,0.6815438490145574,0.8939238972111742,0.6981383838195961,0.7421044911286454,0.6098641971476789,0.6698148651346899,0.7315730265219462,0.6272786496034185,0.8015343970166051,0.5542893987700297,0.5904905721143285,0.7944535390410484,0.5444054965273215,0.5240244193881242,0.5052764655977295,0.5628560235081616,0.5824259946022646,0.6133165737595154,0.6799579005467496,0.7676693540632892,0.8665561103381195,0.8036601336420519,0.7706766088224186,0.7259526030224428,0.6782943307236005,0.6028034227763276,0.5430208021056908,0.5504658687019074,0.5932146934350188,0.5783436808917829,0.5246889229495038,0.6254031818938518,0.578816773322434,0.5906812336395879,0.5991172212043319,0.7081479568314268,0.6197069558901547,0.6559204107164632,0.9534328756816844,0.6804398059728559,0.7905858250937424,0.7469306644664504,0.9604267563430672,0.9746217210139354,0.7870699199312278,0.7126132627381252,0.6495064107051475,0.6270714403946818,0.5874215660927719,0.5621884632343005,0.5271845086913186,0.5485366503954616,0.6239256498793618,0.7051414087842479,1.078977432310987,1.9649913652087974,1.1893026256592802,0.8233821641033509,0.6565862958416402,0.6455416414194742,0.5747030843417273,0.5813772097869341,0.5580054143270647,0.567227656761955,0.6133082424250966,0.6033808037430511,0.6810579822724057,0.7669542997940763,0.8619624760953045,1.2145490407858945,1.524072891750271,1.4955971377150965,1.3877608749620178,0.9007911823620336,0.7866744518120912,0.6025860036468669,0.5439173213758902,0.623025114984349,0.6162994954623625,0.8204141398062041,0.6177511031132101,0.677556345120384,0.590707976556807,0.590108592539402,0.6073267366400846,0.6439589895340763,0.6863486292815275,0.6792609308643881,0.6784620436181066,0.8208789795911987,2.3891303782296305,1.09335058286343,1.8794357654217844,2.1331902645427356,1.4891804325616496,1.2117896451670185,0.7982457118668288,0.8114519454148985,0.9960081174049983,0.6615229770797934,0.7242856430106094,0.6000925881783225,0.5723396673396166,0.6336550086098914,0.5444319502938991,0.6631525218698942,0.6492655126015584,0.6880158279615058,0.88477642021901,0.7401250875030857,0.9206934070530327,0.7439978381858614,0.7936009679816609,0.8715274287725081,0.9959143644835459,0.8669610276113741,1.0337189775900841,1.1501858248542902,1.137749847253968,1.4246389939117847,1.0723981215234928,0.925878854112591,0.9606385751087799,1.485520356583871,1.0469644498448718,1.5904595762800122,0.8730294213551071,0.9653365847088746,0.9857920350481587,0.8402538706473548,0.7779885972390372,0.694355025400043,0.6922491781214276,0.8847563355543154,1.180326536784161,0.8906066174147338,1.041969083063181,1.233025103841744,1.203953802201181,1.1525280516912775,0.8565398423448646,0.5882508079109889,0.6952629551248842,0.8186728607161614,1.2328611776339418,1.4185973360151913,1.618258427446399,1.2912599012628707,1.1628825694784508,1.5163162477021275,1.29394615684969,1.1196743649966328,1.5722858952243484,1.727730710538442,1.2968782252181497,1.3856974593190192,1.7713070163506515,1.6821513363195197,1.3071807926451608,1.4235468028896958,1.0866937641031609,1.1159646722610606,1.093084181508261,0.9755902244617414,0.8699641280264413,0.7570865514237659,0.7356417010739051,0.7855512264433623,0.8635773461594143,0.8264586605919575,0.8915180720813187,1.3501697026276571,1.249306563409196,1.1405098558474214,1.3053330521749587,1.5506221116423597,1.6311420564414754,1.6324189589116944,1.85456745474192,2.05146810971408,1.8521301177062082,1.6829326047013533,1.345266310604022,1.1528599421670243,1.6673389758612167,1.6869724550311127,1.8869970450424967,1.969472699642814,1.238237047554586,1.0196256801670147,0.65360143279974,0.6167060493919038,0.6590418061146307,1.1536582944907616,1.0469070005609389,2.2437548258704694,1.2507235778124481,0.8179387401519456,1.4424722614397238,1.285121976110322,0.6180152123283666,0.7816478785433494,1.0854605623876519,2.5467426055802984,3.9877131984574357,4.421606815342608],[0.4251620869579178,0.4238741698552448,0.45416384024044254,0.5041210775210333,0.4410117297793688,0.38781947978496445,0.29262924477268726,0.438120492982927,0.3151861917845042,0.2967489878295451,0.347691462698362,0.49167654756392665,0.37147637536071165,0.3610708014822341,0.524456939183006,0.48540360052256165,0.4522118449674411,0.5279477502234811,0.5892833713218166,0.5442805318975151,0.6293227363610532,0.6061467956355148,0.7465506654150449,0.9782257684754566,0.6798379093703015,0.6506852546841274,0.5411564911837577,0.47414858582862496,0.4819830127756656,0.5155525084987804,0.6134865195396344,0.5941009673968402,0.747680579978602,0.7041410378384616,0.6328896851270929,0.5617223039096227,0.5488848827408239,0.4802701506041717,0.44393410830272095,0.4689091343967142,0.7166400218752593,0.58905601607781,0.5945145066189194,0.6595928722960088,0.8886661103568277,1.195021091476386,1.1219214413758598,1.0054590164315775,1.956922129569004,1.8516329508953702,1.0729167855718766,1.569593232918382,0.7631492726633852,0.6704131858806176,0.977661038163695,0.660259435191742,0.686854982558344,0.6635789728472389,0.7671849008285423,0.9355438331786603,0.7185599324344958,0.8998856092634231,0.9677932935684135,1.0227146343265427,0.7356868514675038,0.7392585491355705,0.8360124307059995,0.6625691818268071,0.7964910717912492,0.7372906931243287,0.8618971179645882,1.2296881873640413,0.9495487814119115,1.0390851254760103,0.788206787863313,1.4611456278876243,0.7338682725766077,0.7498778940305167,0.6712145168640015,0.6601388704856521,0.6979093709743238,0.6548365857137813,0.8919782098038431,0.659705776199059,0.6109273299768413,0.544812126476033,0.5236167586780193,0.6798362885413167,0.5931369051304521,0.7768021778579035,0.7168384554880218,0.9005658240100064,0.7887323609718692,0.7253209773616343,0.6535341570477281,0.7369272811209553,0.669611341522043,0.6581414714127058,0.6300502696193452,0.9122290259507201,0.6927531517844809,0.7535617338645066,0.6027436762422975,0.6699424468388789,0.7535443736340177,0.5719040220782406,0.8202412282772374,0.48288022195955904,0.5118022018923428,0.726761480115771,0.4232724018528727,0.36146560201076045,0.33439171279377805,0.3574753922538889,0.37237010419383326,0.4192114819383657,0.4630927916241817,0.5296476449629938,0.6814678632059689,0.6046218125855463,0.5771210707357027,0.5138247014544953,0.4821194132971572,0.39661397695416456,0.33939020725120306,0.3355253384541862,0.4674770179650451,0.3726569453033306,0.3334313907740428,0.48691594304203606,0.3812539350075812,0.4531326349317745,0.3727763998313828,0.651383415901406,0.40173700082589214,0.45995514383608743,0.883730798312643,0.47553304125418167,0.5854634184510173,0.5102909002147321,0.7299614347313241,0.7146129732089718,0.5530437983056012,0.4578638378015085,0.4095678683576834,0.42740328351798634,0.36510328639783673,0.41297444756483975,0.4144778687757267,0.4324967246791725,0.5440262568106655,0.6171118611484597,1.0843256948266138,1.9660873928224991,1.13147233368596,0.811235115227702,0.6235088712273066,0.6202606586017111,0.529575668351104,0.5457293842497674,0.41331548923739037,0.44217320802858,0.3837155727696556,0.405924286171964,0.476058803900987,0.5543904938872617,0.6998515357325382,1.009665274099185,1.3635785724776517,1.3583199336965037,1.2701244086593293,0.7590248644945256,0.6704660816629343,0.4263213770738957,0.43061134689409303,0.5651949695783195,0.5560359351457066,0.8428187960944028,0.5651850458894024,0.6491948698471469,0.45800119170484954,0.48325703517272434,0.473056201948843,0.48210021432358746,0.49760111432714654,0.50885967439971,0.48224539791007465,0.6800612073768686,2.149312932974665,1.0705288902811958,1.52551532325893,1.7721858158130883,1.1609517247424717,0.9325795563882114,0.5380651476638973,0.5676114454271418,0.8501045538386511,0.470125641373083,0.5753941516650671,0.5000476321412299,0.48046266974796104,0.5628233034556759,0.4528428086761063,0.5875133397670452,0.567237049139595,0.5785956902020896,0.8902761188015579,0.7066933137038596,0.8038476410151063,0.6540962158903972,0.8232421861857303,0.7919595905169237,0.8229390045453195,0.9388453663625057,1.1229969987549557,1.2646184912716387,1.1123102836782888,1.4869636891210867,1.10551231373646,0.9175355029495539,0.9245375802022241,1.6204676579423505,1.0435219548367178,1.6046263070065876,0.8697862762456413,1.0295116078040847,1.0439604907403874,0.9234839516553325,0.7630995758802108,0.6083403292588945,0.6035515520450345,0.7245606213741121,1.0251458646876177,0.741274277702332,0.9526052891735035,1.0449272143804709,1.031675301657426,1.000791229334862,0.7331318072539228,0.46979462536678307,0.6623623515923208,0.7866679337893517,1.2812941692029411,1.5060588207613672,1.6930001898026026,1.2994745241222048,1.1888477839498306,1.5889435505579228,1.2954488097655685,1.0815160990686372,1.5424777201840782,1.6656421463028235,1.180115135423599,1.299778184163089,1.669043769608366,1.4932968124564996,1.153056543012519,1.3127698123989455,0.9998039652282386,1.0601951002423842,1.0482482233924948,0.9600457477163804,0.8251160605849245,0.6809086548600805,0.6569563333424537,0.7137036129147682,0.816842337756872,0.733148076695169,0.7640695160701745,1.251511628800116,1.1886557388203995,1.0260877187243578,1.18791872222898,1.4661491154477608,1.5746018973947966,1.6109675939719732,1.827642357009016,2.060688219837389,1.9100313441290009,1.774779754686515,1.4201904987958456,1.2801001711474596,1.8340654223639339,1.7812328037847278,1.9215809242756883,1.9887785535881972,1.2340676743043466,1.0533957189434475,0.5332144037658711,0.4370849858252671,0.4831824645774227,1.177784184626975,1.1112432245478654,2.248462680286723,1.2743411482129183,0.8946759853744878,1.551801913663842,1.1680399619028725,0.6076621974235716,0.8303332491592138,1.1961533125636796,2.758953011288184,4.343847571213752,4.8924084883945635],[0.4494086435182798,0.47468672826210395,0.5254579448216323,0.6072287477883652,0.5201145448479916,0.4518343600379649,0.38577898127757587,0.45292052927269694,0.39948611134579665,0.4035055669107092,0.4364212042489703,0.5479492373716291,0.46193419585888573,0.45631808633738585,0.5934940244819328,0.5789302986920632,0.551744123720897,0.6502496687599997,0.7179115289767651,0.6738525775740415,0.7573510285545831,0.7334956006221414,0.9024720206003594,1.1367444207368844,0.766006735972095,0.7647238127918377,0.6581054129030723,0.5885881604290533,0.5886864427900896,0.6060320899793047,0.6975313826772986,0.6628497200562421,0.8382150153698182,0.78595446638737,0.7221601495980124,0.6671235988699618,0.630017757949853,0.5857120004090791,0.5653627082750182,0.5912251449811795,0.8003263642704355,0.7016329530094602,0.723402214167462,0.7749350968514158,1.039520378955134,1.2602239968445603,1.2845641242835655,1.1443275926019343,1.9021531745285492,1.707646511473935,1.2297477882858268,1.5351940350737865,0.8670662858446326,0.7757764203340837,1.0284864971199104,0.7789500336885011,0.8129180308573639,0.7926890815164696,0.884771795895658,1.052987980498747,0.8218718353127907,1.012198223722222,1.0559365217185406,1.1570967173694169,0.8577352238710694,0.8451423804475342,0.9456396375082516,0.7746369444690313,0.8873796519721352,0.8053627091626347,0.9045979438876646,1.3182846989949726,1.0071044203947412,1.1414483615035453,0.8930483471381229,1.5961505701394583,0.8491653576635877,0.8735583125296262,0.789636543831405,0.7837311721646327,0.7682257796574004,0.7395107252874662,0.9681639280825752,0.7387551120932544,0.6716488930104713,0.6331321479323851,0.6231790084307637,0.7575567989223443,0.7144964259627132,0.8702223637071546,0.8133988796445027,0.999267954993964,0.8731236938673235,0.805316668297717,0.7299721072282964,0.7994769468987268,0.721714920913033,0.7226802649309777,0.6956098058339638,0.9428864853100957,0.7249017134100987,0.7625723280189788,0.6497881856933274,0.6741857475949037,0.7858188742404961,0.6156281334262286,0.8031409879081375,0.4889852492828644,0.5189558492579822,0.7505627359532147,0.45697583345176235,0.4272614871759096,0.3979860332579465,0.4550701581137215,0.48676573510906357,0.5364176623888718,0.5721383046499314,0.649053569310711,0.79974802734776,0.7225430151485327,0.6763319114325085,0.6069938829813568,0.6145565463165625,0.5103138470223695,0.43487438256829847,0.4381280348928608,0.5458652447938209,0.4164073054800674,0.41024818009199293,0.5476333698711783,0.44742668673841296,0.5009158528568333,0.4268132296180583,0.708925824220627,0.47284267766125854,0.5033419937027064,0.8514150663194466,0.5472441881195622,0.6591675793309005,0.6222612371957408,0.8193367368251163,0.8130680795914991,0.6728238010029114,0.577729589494269,0.5413273959535803,0.538620919171344,0.49013792313412907,0.4963264092490231,0.4914432196325223,0.47210997664390386,0.5496654559996054,0.6355058543792305,1.0742250577906345,2.018415961551652,1.189232790921626,0.8337902035120627,0.6410360574207108,0.6265526471255528,0.5920334482967928,0.57209474400331,0.49907000894356834,0.534113671651663,0.4861547041924714,0.5156478780849124,0.5923756176330743,0.6474175655791643,0.6899231015160456,0.9638463957364911,1.2352205878622087,1.2877226188348054,1.1920000531035988,0.7740650642569847,0.6622716871178466,0.5034709995976848,0.505256117240411,0.6365833229448813,0.6388358876028579,0.900474543479405,0.6359128378278446,0.714367063153342,0.5173247598771787,0.5621681314808271,0.5631983284931704,0.5580007228584228,0.5681308762888787,0.5669660894932393,0.5760887630895075,0.7645938499469532,2.2012054342195047,1.0592014708785573,1.6092855746430716,1.9038079290700205,1.1943282240833815,0.9214925605126832,0.5673800073651227,0.5943810249171377,0.8476577828057698,0.5171547558031365,0.6032271541163344,0.5440545633243895,0.5004916664325784,0.5738236902971515,0.47432288881294465,0.6052039955556985,0.5655306301717065,0.575206405077123,0.8830204662932263,0.6953720371430867,0.7743433775340859,0.6544267208695165,0.8133755543595957,0.7812862684379639,0.8122433334785046,0.9187178198263419,1.098467343851181,1.2192844042687876,1.0805979176871743,1.439473140173659,1.0784823614423693,0.901681201642231,0.8970955133947864,1.60968112475653,1.0267969212075048,1.5834412429221125,0.8557430340246271,0.9941977831392929,1.017232207560171,0.885483238946791,0.7216963692172291,0.5973630237802785,0.6174335979809045,0.7385976352559863,1.0021641465265119,0.737878593730254,0.9357206945373909,1.0503592343241892,1.0564155652500595,1.0171958667005623,0.7537093806187588,0.5130058224531283,0.688962413407455,0.7951223954809442,1.2732229658714127,1.4579465112273973,1.6689864477184149,1.2522839157276158,1.1287153060731312,1.541052231508779,1.2399335242409018,1.0278982174327957,1.465272582870988,1.5756498784575619,1.1176989916434592,1.2252908293421392,1.5751931502469558,1.410952754046716,1.0988551397870794,1.2458190984401334,0.963417785168459,1.0079571941776293,0.9993758073086164,0.9212864992549734,0.7803020569167218,0.6616477762134972,0.6532362377871559,0.6996755729205374,0.8055612396240426,0.7338978894728406,0.7652211910108541,1.2394457574271145,1.1759626418592226,1.0255673634064513,1.1783624452713908,1.4436134889411132,1.5352379394609852,1.553316047751142,1.7613200706992,2.0042466941849466,1.8322576791037493,1.700562064531115,1.3724598486292332,1.214276219163526,1.7367945996930856,1.706173406277413,1.8570016173956803,1.9558470205028895,1.2290377211955963,1.0612291503258666,0.5821444543935252,0.5064651251098558,0.5089569211252889,1.212117411293699,1.1575131054521348,2.2651492120688794,1.1929922771669332,0.8651729031176939,1.56473357279343,1.1580153325486515,0.6446900754195118,0.8272692331399506,1.2928642200177163,2.9678051496467184,4.597519011717177,5.178009951090836],[0.4080657571688363,0.4180630097963256,0.49457963508197317,0.529967940745658,0.4629214673588491,0.45748660313173245,0.3478742086012581,0.4576917819011924,0.3580410936982828,0.3354326860323022,0.383359122521912,0.5346051854471452,0.42968609899877186,0.3981558596620115,0.5730335447597514,0.5599701683182695,0.491087747379422,0.6137110894689226,0.6948448584138813,0.6380396009142736,0.7431146696487019,0.720110059568285,0.865708036932973,1.10928423485549,0.7313034423699944,0.7341187029674944,0.6138054951744931,0.5438522290287932,0.5588702906717855,0.5814151839985326,0.705736479873334,0.6617763213713074,0.8352601948906938,0.7894527536014092,0.7187838916191938,0.6522886598123818,0.6305949326864871,0.563965777235815,0.5356764427803677,0.578302984964471,0.8321970386252837,0.6815630071371311,0.7017812454818341,0.7559889499671093,0.9560625463186505,1.2018947425199997,1.169976891034022,1.1071672047326353,1.976395570448964,1.7201552690487774,1.1512010375205575,1.5551739143638792,0.8233542096689771,0.7161349723210652,1.0023189285304621,0.7508146106770255,0.796219385582129,0.7539059933383053,0.869912339187814,1.0130678297008562,0.8239012880761859,1.0212266016153284,1.0734178605288722,1.136370254623795,0.8426680806844329,0.8526279241706738,0.9285130428726677,0.7662273791496308,0.8933328966827206,0.8179127934700512,0.9338709812736585,1.3779727293875415,1.0444887536854242,1.153189923756506,0.8804925006583421,1.5720037342086803,0.8434625236749128,0.8638018066109808,0.784796733593014,0.7654385449990634,0.7722326830938147,0.7313129133756614,0.9160723091479346,0.7344273603249053,0.6830766308857367,0.6280530319350188,0.6059414002077578,0.7606564895414094,0.6909687927642665,0.8608937996690494,0.8083012069704293,1.0042911302063469,0.8767874569036745,0.807612503385902,0.7213284304830645,0.7902478160466084,0.7283411105190448,0.7157864385461449,0.6833515867954234,0.9379570810334815,0.7301643729024069,0.7863381121766098,0.6539524582441523,0.6903423011714667,0.8246920859810913,0.6188289278982221,0.7939367543792111,0.5268306701882959,0.5534804939779591,0.7332564565987538,0.4769877047498824,0.40997638075147275,0.3753549836268105,0.3864282053560515,0.4101152849173777,0.4471018157519508,0.4913080889889912,0.5571145235489963,0.726277460314326,0.6869946228224568,0.6255982512786394,0.5408516791071329,0.5072867638093838,0.42093185972133884,0.3527948041365111,0.34571332896332835,0.5207304913457242,0.40268440356577595,0.3684956738821562,0.5257765127645073,0.4085185084137056,0.4691158186777461,0.40665196650787533,0.739363200730156,0.45618243071155845,0.4896938482393236,0.8064141811676402,0.455222237683241,0.576136571519218,0.5573033031576672,0.7396150543683307,0.6991347130108551,0.5766894928471973,0.4985646581711665,0.4716346332525299,0.49656180861901017,0.42908003179858745,0.4610255072406785,0.46554122657998503,0.4484709912296756,0.5569619070876187,0.6426099877564494,1.1073626210498568,2.0405077748526215,1.2029123097637078,0.8499927663151512,0.6409837572475573,0.6419217131401483,0.5835926580792592,0.5776095694410656,0.47815601464475743,0.5094639937732733,0.454659152795389,0.4868935737566392,0.5234772181478855,0.570907566726652,0.6417052079647109,0.8971589177612956,1.19666440049904,1.2736855238460993,1.175615062931136,0.7669159464872158,0.6778333713495979,0.48415015497843367,0.5008475348791563,0.6291327197058046,0.6344320507883116,0.9033897915148341,0.651235592804844,0.7157088336339449,0.512248882551964,0.5316030818087675,0.5186040071626902,0.5031628557567037,0.5104329334601337,0.5429054043410666,0.5770608071766152,0.7486379034634515,2.1480327755915702,1.0711295790441504,1.505201543560299,1.8393225067434422,1.1349656194581161,0.874325409634309,0.5233644758178654,0.5350004510225067,0.8409669176952126,0.46290722586755373,0.5721746410729024,0.5272111960298921,0.5250201649216837,0.5953869127939876,0.5066666604689727,0.6291487110918134,0.5999402417135667,0.5948035798272124,0.943808275593925,0.760810174097778,0.782944140631389,0.7218089509585909,0.9066125350365107,0.8424180806052451,0.8217147186925606,1.0343359825440823,1.2157151226082639,1.318534980615844,1.1660719260371208,1.486271586050834,1.1344510588261632,0.9490027827440493,0.930369363104855,1.7538024902702054,1.032075206109647,1.5753087874237726,0.8617896454447527,1.037397602539558,1.072035773603373,0.9826494606482592,0.7695721234932547,0.627748267895709,0.6779318159813162,0.7489262718289739,0.9658641508094279,0.7163990754600571,0.9958284200405686,0.9300430736853438,0.941044376135686,0.922458286655422,0.7012841322560018,0.5246205459538421,0.7216081285541115,0.8575565629310548,1.3094678178458317,1.5091770385114844,1.6978349975270344,1.2516547893456038,1.1611162510335893,1.5517987943784113,1.2565964161077992,1.034566596784195,1.4297976025699455,1.5120913900182151,1.0696309446573462,1.1842784834374633,1.494453928704809,1.299434614016072,1.0557773063587534,1.201220906000433,0.9529457970299173,1.0090145261507206,1.0081181426744585,0.9548023422649056,0.8243381426177495,0.7114283802709468,0.6847104617931632,0.735422769083955,0.8394758674044672,0.7485635259321067,0.7559803949667083,1.211487859950663,1.1710616062153598,0.9789591937843221,1.125097267654093,1.409750003651935,1.5208240727565983,1.5435782133677685,1.7109888639950122,1.9608784889074513,1.8264410594130533,1.7268632321904982,1.4188438619652797,1.2932745654803384,1.787098904960718,1.728804710256603,1.8434757596623472,1.9198894931411434,1.2105751577030408,1.0730742980896506,0.5605831352582274,0.46113457749299885,0.530694096532449,1.2755842851131571,1.2752712878013124,2.3215238967320984,1.207905735383381,0.9971453809820789,1.6905898984206738,1.1449450823788967,0.700528460424752,0.880762188085584,1.3849848046914088,3.111166292695304,4.818285029731609,5.488010579114655],[0.6699255382720712,0.6877847084115684,0.8022024093557879,0.7580850884145879,0.7189324534944709,0.7908914663237022,0.7164678822608117,0.8261202026459419,0.7278696513215746,0.6797404268784928,0.7180619150611337,0.8581118824033758,0.7830516874553439,0.686281040028819,0.7913044355144486,0.8300622808936352,0.7584320226556113,0.8153962691256321,0.852190031621538,0.8261503950099424,0.9130875820148601,0.8786022222225268,0.9963024758850876,1.2416729330699803,0.8774772488556029,0.8824673581219679,0.8044358568809015,0.7696292440498059,0.7982939980219973,0.850308753382825,0.9080954557193011,0.9369045240505252,1.0716106445971958,1.0212502350479575,0.9739655290620373,0.8894835955069273,0.9286185762862091,0.8380469015705747,0.7991658785828534,0.8644694461317457,1.114082273062906,0.8231860267007002,0.898719170556775,0.8664358208316171,1.146294064440947,1.2849375059799797,1.3115711056760113,1.363921236051814,1.9302242252029274,1.5685714603475387,1.3163146301537618,1.5056253921597436,1.14535806815155,1.0151323867032422,1.2725836978353704,0.9993568287984993,1.0558162340546715,1.0088315347429289,1.1143008458964265,1.1558424988575708,0.99190972486454,1.2100161019924396,1.2760622062501883,1.3013541382421747,0.99467402817932,1.0299530064543614,1.0634168730205975,0.9199302820300019,1.0324571094028137,0.9410459389922862,1.0278637963618589,1.515567436822255,1.1495097143089372,1.2600858465071487,1.0211645791782546,1.7107582135253516,1.0325575063005077,1.0672356036637605,1.0042304569660054,0.995043025867203,1.0435060457915541,1.0457162891055927,1.2243563426703248,1.1177807482239415,0.9068882850365164,0.9449200551410091,0.9108746636425527,1.044795812370511,0.9286743011239249,1.0772746993844078,1.011154255265975,1.1285429896990002,1.0514300369561236,0.9995370489454002,0.9296655700128248,0.9621940571025143,0.9439260006939468,0.9819379418870477,0.987052873854821,1.2574077773333945,1.0431379554237958,1.164688893745718,0.9953461215372171,1.0679771704502206,1.2157090175761194,0.9710061726548297,1.117266298825956,0.8733525612857441,0.8743681549309232,0.998832511171563,0.8451734539913992,0.789725126472448,0.7537417639046579,0.7246664432110039,0.7388864817483891,0.7500659260513184,0.7296966804950867,0.7432080032633133,0.8706499361602219,0.8483857013863095,0.8005591909039501,0.7634528458703169,0.7320910086781853,0.707504227534448,0.6784647171969107,0.6774784104454629,0.7889257575997617,0.7496537068631925,0.7534404159741884,0.8267162954832912,0.7798100976609844,0.844559785633129,0.751137817405734,0.9469117587662852,0.755242417236032,0.749594822956062,0.9760706749292867,0.7546969205332901,0.8192712728028374,0.6608045838568392,0.8624981567928744,0.8355124062734487,0.7848775102274308,0.7512650786930767,0.7384149775104718,0.7537140934297483,0.7298499706603737,0.7734744957701634,0.8258506140801993,0.8261222720719943,0.9321896533405504,1.0175927739610446,1.4436750112355783,2.254588268013029,1.5044695109450217,1.2101486858346098,0.9708708657730322,1.0172990629478793,0.9220988948570964,0.9412633851616201,0.7982501781123703,0.8140121063042934,0.6884371159878016,0.7798962492469296,0.805861749528126,0.7317060660435091,0.7269927840856305,0.7830959694543713,0.9768353348120629,1.0691616945459137,1.0020889428795954,0.7427673974222918,0.7612607632250501,0.7942220982380632,0.8331449260144628,0.9491607651750488,0.9382338341203078,1.1288998775904415,0.9572762264975057,1.0037035534427126,0.8193648019706823,0.9042329189971977,0.8889057510137933,0.8932219649219186,0.8832954230128703,0.8758353303000326,0.8198943587869504,1.1044275894494986,1.954572533647624,1.2574815543041657,1.5079497853398056,1.8150764600275338,1.1990961512362495,1.0415178180858355,0.8195246839629683,0.828780973866197,1.0991962032152025,0.7738127544003737,0.8323333020247955,0.8768969190880378,0.8846574739669861,0.9758672434994518,0.8677517936031887,0.9028505152234166,0.9092280848731005,0.8956655828665498,1.1176761640044848,1.0164704469131838,1.0327768174769605,0.9989273693023818,1.1486128020358741,1.0969734647585794,1.0628194275391445,1.2312048717304156,1.4212269863011369,1.5330148353444848,1.325492606935401,1.65265926396381,1.3387758301713202,1.1827353051131455,1.1530928387987014,1.9010647058319052,1.2822309809077763,1.7622711600643992,1.078794828019366,1.2252324255224103,1.2649047176229582,1.2660381123730315,1.0256472165743018,0.934844967899465,1.1059440316021805,1.1293570093199121,1.18054461490583,1.042599092074774,1.2961863680459085,1.0697477983362969,1.045490331148408,1.0450455561833052,0.9319598370972246,0.8969593304470308,1.0750184185575997,1.2244263434463896,1.6463319762133326,1.8011787600389189,1.9926129803490833,1.5611371684224793,1.3638841914798017,1.7450392693675774,1.4315085458692922,1.2382566879276886,1.5647440928255307,1.6063711830093867,1.2269021954115287,1.3334927030795096,1.5653061242235,1.3625730512000502,1.20293799948161,1.3362702773293251,1.158944227680739,1.2277880062019149,1.2314000034018333,1.2022487038192808,1.1097206243742859,1.0138638725214666,0.9882007782526123,1.0273026760539279,1.1006210207506462,1.0149140976465936,1.0347231786405253,1.4044188117143874,1.3591533973213012,1.1520643924474265,1.2890723030813998,1.5601358082884662,1.6803641539026963,1.685288099936657,1.8102866564640603,2.01423870464801,1.8890370283380984,1.8436374164392886,1.5734117196745574,1.497308731120595,1.9259559414602392,1.8320855165002983,1.9216972729587307,1.9919055817920375,1.3430375130915784,1.2578621012287987,0.8248609268978765,0.7154594005827866,0.8398553601205317,1.6391638951192786,1.7024028867695222,2.702432209372465,1.474502675171176,1.315648892275446,1.9735106025928544,1.429004202472575,1.02552109680745,1.0926437259193085,1.6093138504835194,3.187330587229889,4.980879253794912,5.788873656089956],[0.5317680108789631,0.5351328977961679,0.6585232578223086,0.6282977677561973,0.580239777076768,0.5617986051360095,0.5120348734515416,0.5839097274709936,0.5076792012497957,0.4700335692869969,0.4968638993637398,0.644058157701352,0.5499936187096578,0.4853312600828655,0.612196143186142,0.6269881820730014,0.5650445487355736,0.6698471813709006,0.7517221550919655,0.7069582321269023,0.8097439812617558,0.7904184020119329,0.919738755444366,1.1586553138855382,0.7712857467353517,0.7801572284888978,0.6625921432008527,0.605967373436955,0.6341057453480005,0.6587765776879354,0.7412580196432393,0.7226853319901396,0.9045699906766558,0.8530752035065825,0.7855731357827952,0.7136277176195656,0.7208986451726216,0.6563859947040372,0.6219557715100932,0.6747763674195499,0.8710378981178127,0.7363881239414916,0.7748749536663497,0.7885546500042088,1.0093969489957133,1.189744903741005,1.2010168771560958,1.2031226188580353,1.9377775119307226,1.5990451559402326,1.278760981856032,1.4576899133921624,0.9408054557569331,0.8183455871058665,1.1690248268517431,0.866957731954511,0.8890194957434168,0.8838649241924061,0.9914894957506204,1.0622237096697413,0.9067440706137596,1.082911850013081,1.1403936045874572,1.2316437307820063,0.916419351456515,0.9214066361135361,1.0054684007224313,0.8292413571739994,0.9400976156308568,0.8489064892554845,0.9763270952916892,1.4914794963633684,1.0950269680368978,1.2139300650183993,0.9335034413785658,1.5993829275888831,0.9076885848362866,0.9196881174205404,0.8478078180911626,0.8536281566869133,0.8565870047952567,0.8517586295368506,1.0750029016569482,0.8690661712463507,0.7338449789078897,0.7337803682114662,0.709849243000083,0.8406633143122245,0.7639938812998812,0.9378619557144785,0.8682978537630299,1.00963555433713,0.9080095047391908,0.8482859731858945,0.7600221612918222,0.8121128335160414,0.7654196970242123,0.7873815558094301,0.7804439265156358,1.0906430967878804,0.8214320160840298,0.9137469984529105,0.7565154788440729,0.8228916897916569,1.0101270138004286,0.7470489791909597,0.9270744519715759,0.6365417748183168,0.639622612520796,0.8061282003409025,0.6125888772142452,0.5567983650869837,0.5202352155631597,0.5189418196141276,0.5193399349655671,0.5532200476281048,0.5542716547240173,0.6069847446727648,0.7616440314335498,0.7107375294404401,0.6596511021774715,0.5922308854761965,0.5855802331669764,0.54424489264756,0.48377241538502164,0.4719359998156357,0.680610636083032,0.5456882440168378,0.5461333470403265,0.6226290604629253,0.5513397146962583,0.6299278058904925,0.5296615142595092,0.8050978210818188,0.5362888395595439,0.5339383764774228,0.8343836685857173,0.5500401732067455,0.6533272940245303,0.5742563802891485,0.7701058481569356,0.7391738354820193,0.6308286430080727,0.5710496074750198,0.5487286607905046,0.5705556395227955,0.5282722457849308,0.5655059696742831,0.5968479405701416,0.5831655068952326,0.6873826802545097,0.7880251187842152,1.21940413965464,2.101753294003042,1.3731425488106679,1.0033915534321072,0.7393646765587017,0.7639442505973738,0.6983277875716168,0.7067683066076224,0.5887807361202773,0.5947877792769866,0.5187355651564509,0.5772548344103032,0.6154156519172768,0.5907111737028513,0.5982563588422484,0.7642221110957638,0.9776765358425171,1.1041252753277677,1.0051354699879271,0.7088358801152221,0.642748810210091,0.5836760961006775,0.6050957430573192,0.756767092821562,0.730356157083324,0.9761022025912282,0.7397591273358924,0.8308382777485915,0.6169196909282579,0.6764507339239872,0.6575156325277648,0.6424219204532826,0.6377034434611933,0.6546020696981615,0.6627234193380198,0.9327361028444298,2.033381561783624,1.1511180770348295,1.3927709080643995,1.8329059360878965,1.0960531735900918,0.8592299199869438,0.6047227616038179,0.6266899373009907,0.9245147244194155,0.5771489526736608,0.6617006307587834,0.6938679416081498,0.6895558192615439,0.7607005458732803,0.679922964130484,0.7499156784375061,0.7242294173787105,0.7232829236494859,1.0132301913809663,0.8577626772084814,0.8613835232499597,0.8509737593600454,1.0129381126347143,0.9467978780617461,0.9226857798494902,1.1200550542885952,1.287777733032205,1.3757153740022028,1.2280367877388714,1.4969365733343394,1.1909979484948654,1.027238243088941,0.9945122614480096,1.872796940337471,1.0776818166835982,1.5784265701153988,0.9315372681534396,1.0996860418880994,1.119339851242913,1.076527429373939,0.8641263615887961,0.7382285205521717,0.8336893106812502,0.886738555697422,0.9824604273625452,0.8043576797928205,1.1152545570724992,0.9085611228782805,0.9254720296318556,0.9355191072877107,0.7612331990154702,0.6873620023465479,0.862917488347856,0.986041618283671,1.4274164501727056,1.6148917531555689,1.8011797400705543,1.323131220563326,1.2155243125206723,1.6123932504960778,1.304768976980336,1.0705165954452591,1.4104443480225541,1.4614389489104715,1.0688928572147691,1.1689983748039645,1.4172166752237,1.2298163282901142,1.0565417065684548,1.1802473521518784,0.9947852748739514,1.0436310849240487,1.0429909481004074,1.0124952558827918,0.9129112018645145,0.8264497439332933,0.7991248055610203,0.8449067117704417,0.942231811971681,0.8443408547355332,0.8493699803639866,1.248820315632744,1.2100605441604597,1.000269781447172,1.1459576432152636,1.3834211934505565,1.5069566712889895,1.5064676000724788,1.6286759270221292,1.888954509625789,1.7492449037479276,1.6928173846425218,1.4393354729093175,1.3383866766365147,1.7631688508618744,1.7042851328248478,1.797651728305127,1.8969126986756701,1.242717745267915,1.150448221925043,0.6730611753707794,0.5734118435543628,0.665764422745916,1.464467267442789,1.5182752088504485,2.441726799452706,1.2431143071620594,1.1300955635295598,1.83418119366897,1.2260462822165954,0.8427368028211905,0.9732232571899789,1.665282977113894,3.458806300646678,5.228544544149178,5.964857096678519],[0.3850332374648488,0.41561164097289355,0.4827365477437323,0.5503160130592871,0.42973606100261125,0.36643540364356214,0.31759169771639645,0.39021835710811714,0.32290574971447783,0.3169294190026977,0.35133977527201904,0.5367102348633449,0.4270472619847429,0.3908380278815082,0.5499780139573259,0.5653651036857985,0.5100320601136461,0.6314991723744837,0.7295299675565795,0.6649569150149296,0.7767200337216439,0.7543779840537211,0.9034877832357725,1.1693534903937366,0.7658414308763277,0.7771437200871089,0.6478512669743406,0.5781728327832453,0.5802093316930371,0.580396654932861,0.6855966696378081,0.6444379365425279,0.8354997375997006,0.792089364077042,0.7226637912929014,0.6604712302303632,0.6264081745070651,0.5878966048636076,0.5681250493649879,0.6140855286597175,0.863067323807775,0.6968854858755843,0.726281594645753,0.7739291412963544,1.0064589103804369,1.203272244244988,1.236090384073311,1.174708297024845,1.9125209858039884,1.5638104780377364,1.2332474103732736,1.5026953609036784,0.8681187020848812,0.7722154837951041,1.024769044579538,0.7835608944600457,0.8405585861448085,0.790323223469747,0.8960624187427607,1.0652105371139038,0.8678130681142615,1.0402842877579448,1.0850318878086707,1.181385223634352,0.8818912545832641,0.8835490364933578,0.9719746685357982,0.7788741525083317,0.9052064747565611,0.8078392481545099,0.9204245926117417,1.4188396941751094,1.0265057800496356,1.1562350089087066,0.8752378941783922,1.5913669416184613,0.8554283985675203,0.8629474454305092,0.790308658582978,0.7855303732005264,0.7729527895623653,0.7458769159261353,0.9719182595784083,0.7536928202987728,0.699073165021299,0.640238574776345,0.6317274033675234,0.7572008828324569,0.7085783369579629,0.8736540019150469,0.815413297051834,0.9731962156663958,0.8591489154357553,0.8005883888745298,0.7093798849908058,0.7747018383966214,0.672460505190644,0.7219011245018964,0.6867112514949267,0.9753778938229793,0.7175490797373889,0.7449727841204525,0.631344956547193,0.653018434041053,0.8132242621973795,0.5855260292946471,0.752506849668335,0.470780426323532,0.47984817894636295,0.723270906479038,0.4086120294439435,0.3837438354148444,0.3435305662476947,0.37402628186928455,0.4090960998362408,0.4742020243864337,0.5231362717288225,0.6006708012772691,0.76492783590794,0.7178789581651431,0.6390204487832857,0.5582923596116346,0.5478747523254701,0.4369954894039943,0.3309887784422858,0.34367879421246994,0.5128764632270343,0.36918485445124505,0.34633369127203056,0.5311184335168009,0.3821209801976663,0.4598425011275508,0.4190822710512673,0.7677686234660872,0.4730981584193801,0.4748519790706234,0.7682698530971112,0.45943946629540916,0.5736327813593877,0.6030609402456483,0.7736743161098683,0.7364383844967333,0.6069263245595741,0.5331859787433628,0.5109000041809159,0.5157890853334521,0.461991935599753,0.45253885714979997,0.45342328170053103,0.41476517079620023,0.515704775102473,0.6326937618037421,1.015816522051024,1.9691429608325683,1.2495743780315076,0.8241807765276835,0.6044679315538636,0.6002983635494185,0.5803456811930446,0.5419270102426516,0.46365453259870787,0.5139195869229809,0.4645305874593083,0.5012026935523369,0.5721080350631763,0.5806820530455098,0.5772622167920698,0.792911112510992,1.0182452616438122,1.1654558247773743,1.052777421557806,0.733755761338827,0.6000424515995347,0.4802941215486819,0.5044834295739001,0.6309687033512609,0.6255115016192643,0.8832676504049705,0.6480317231449364,0.6959492173097346,0.50062923799209,0.5176425706633278,0.5157788732698879,0.5003053031654452,0.5262379213587043,0.5535490318139477,0.6120176771246784,0.8384457307389107,2.158631135305214,1.0757387376247698,1.5236078120645349,1.9700198393280623,1.1620463685725997,0.8478185954434978,0.522655992997237,0.4817437527637342,0.7559464515062062,0.4174018502929231,0.48608248366080586,0.50507666757195,0.45579085675220604,0.559233704990619,0.4594904228089523,0.5311817119494968,0.5200564381695795,0.5393727613792876,0.8118850962811935,0.6453000933179627,0.7134225756283707,0.6410367436670269,0.780833956445406,0.7328884604092787,0.7527734598207886,0.9085996847317301,1.0600391564386902,1.1251248526284345,1.0548261340017495,1.2606384973724072,0.9607496325453051,0.8081857299329931,0.7698001752857784,1.6466537671245525,0.8782851701728098,1.5291109018612112,0.8102909292296488,0.9908070684378647,1.0102665543195535,0.9376885166501778,0.6755604090890014,0.5276227697429625,0.6291038139917409,0.6812587953834748,0.8041924571889538,0.5866270326200236,0.9854747088758491,0.7942597639261989,0.8381738643034325,0.8519382126874816,0.5819006121738789,0.4900873823505256,0.7073285278817206,0.8334275975743294,1.314651382167517,1.479790870120043,1.6763528258915728,1.2004399866856779,1.0842841576683198,1.491891416868666,1.1857860224933339,0.9532978615627006,1.315028930213601,1.3869352520708964,0.9866986569181136,1.065615685328019,1.344016390417186,1.1834340733342443,0.9594636864000066,1.0740486400009643,0.8501804200696054,0.904121908321834,0.913274644949508,0.8655507249996346,0.7141244475200592,0.6124625083521905,0.6003479586538678,0.6229017868050335,0.7264190871617903,0.6270218202526329,0.6317004824940456,1.0509462811362387,1.016936217902538,0.8444956627274139,0.9653204690591068,1.2284074008895753,1.3033623654857258,1.3141409450388881,1.4588390229436294,1.7419199288502463,1.5435081806488327,1.47941375985835,1.2220150624793271,1.0809277104455632,1.5330374857084967,1.4948105825692959,1.6206914474827725,1.733784789946754,1.0629910245724006,0.9432572387719373,0.49421122646073984,0.43251728749153023,0.48524829128932745,1.2291256472136094,1.2648528487941266,2.241777701337629,0.9465566494871633,0.8507992382920986,1.589287994485172,1.0307273489800448,0.6376394725920784,0.8629349861904769,1.6172845602012924,3.454731032976772,5.148730628593447,5.802701665876801],[0.39926396882698845,0.4397877163896663,0.47949231131716574,0.5517626903361089,0.44056298629658236,0.3649665035160821,0.315520266759588,0.3632249102273978,0.3043066597555207,0.29776543097370767,0.33465123370431343,0.4957197451147515,0.4050052261550791,0.3749552467687836,0.5315636907878075,0.5288044171138412,0.4912452418360964,0.5876546696461215,0.6614232542147218,0.6108726832003909,0.694166502945509,0.679484716160665,0.8030851193209051,1.053744849731246,0.7121154939095483,0.7132199365437806,0.5950402147023062,0.5405446308779187,0.5427417947743606,0.5479992466593719,0.6367818325421863,0.587863321919193,0.7585808989402488,0.7115032186971368,0.6523527171147292,0.6060243474015539,0.5712882710671183,0.5408322839462818,0.5296925340735394,0.5670605827090868,0.816133021964217,0.6547130130778722,0.6761921425795371,0.7196028221064039,0.9472421207313941,1.1632381727181986,1.1481124611100892,1.1283827486072602,1.9202712502941932,1.6285778716408421,1.1913918538241133,1.5015296235961557,0.8297314590067894,0.7356682263831762,0.9952303241750557,0.7267974440465447,0.7809862114573468,0.7380822633342984,0.8317990515140472,1.0021682393181317,0.7915104752096321,0.9655966271809807,1.0105359044800304,1.0934016100294437,0.7915694318569222,0.8094471515306616,0.9043756360271198,0.705635925808286,0.8300236557398699,0.7549660108501617,0.8789914077293967,1.2978390816787255,0.9625210194143645,1.0524907595416275,0.8151192439225612,1.5031191501148256,0.7778332070639188,0.7718649433651532,0.7095014894460566,0.7146916948429527,0.7168828707618053,0.6950785650254047,0.9173335323165048,0.6934654039911853,0.6663215402832655,0.5951390726671624,0.5858266727693866,0.7014758422427345,0.6477996057627867,0.7952183817734249,0.7382397781802206,0.8999198738396124,0.7816746716402106,0.7206976698249498,0.6586182878182401,0.7278502246009629,0.6423146263326769,0.6544066080687039,0.619311348490546,0.8760217934174797,0.6412224626024475,0.6707691108997378,0.5631334463173313,0.5998089677641819,0.737003358872392,0.5551392559785367,0.720600772779302,0.44786079116161276,0.46591801792401255,0.7063080781874453,0.3927217340439915,0.3680873654346445,0.3289645459476778,0.3667178640053961,0.39984169686242366,0.45746031099025164,0.4920212018868204,0.5569914903162954,0.7071205446886263,0.6765314514978196,0.606911185988312,0.5416682560842094,0.514426433614852,0.42302398376245715,0.32100092914832407,0.32800294638777006,0.5024564171481798,0.35997994481908885,0.3343423647422268,0.5197168679422625,0.37593864852051956,0.4505347241454613,0.4083481929309436,0.7465207391199558,0.46291708086353944,0.4672681120696127,0.767237434243002,0.450809909431817,0.5604361468990207,0.5723806607496543,0.732220160988304,0.6886112421369466,0.5691582908531393,0.4992281806594561,0.4785934659203005,0.48750810142452927,0.4337052208944841,0.43284806818690497,0.434112382284318,0.3980403786129236,0.4861769110289543,0.6022294183091933,0.9296653549567819,1.9050677456745566,1.203112178298614,0.7417470974006839,0.5439862139391851,0.5407281918361383,0.5328299793993407,0.5103005990885564,0.4450902334348479,0.4865369333293302,0.4371788538089359,0.4709499726034117,0.534553121132654,0.5505713865293297,0.5649060817669588,0.7890528682875094,1.0204443756940687,1.1625038296885986,1.054518749506139,0.7241704507215798,0.5937916292231398,0.4600344477382907,0.4690041744489921,0.5858480403657419,0.576989128615792,0.8262317599546283,0.59048598257447,0.6484367429831389,0.4685197602592132,0.4959373682919196,0.497170961333216,0.4818889258902519,0.5088330319328412,0.5228726599405462,0.5639303868894974,0.791123996538063,2.1339896013364696,1.0641507643865813,1.4966373554943524,1.9416506371962223,1.1580063828711706,0.852848635533834,0.5187618311022937,0.47103403231627095,0.7483816138557653,0.4113463425949232,0.47429521491577903,0.49908121644063236,0.4410283762241329,0.5489314632137109,0.4471437387370908,0.5057247183405991,0.5065745952510954,0.5351618370907985,0.7720074589141257,0.6070801702839357,0.7105428336962198,0.6185833948829705,0.7305178054647424,0.6971110473240738,0.7396109788383077,0.8607382016426712,0.991116518202499,1.0384526632219904,0.9942571818311994,1.1691237317334995,0.893967263387593,0.749367106214898,0.7152411449349552,1.586370846541814,0.8535400796879566,1.5151799521321687,0.8086312374436828,0.9765933960940869,0.9906280074989379,0.9023967942357622,0.6499692987006712,0.517713532892691,0.6047729659924039,0.6599227491748328,0.7644039134978245,0.5597720796319072,0.9752508798970693,0.7702323535518203,0.8132209923151924,0.8367222025663344,0.5604535505150794,0.49210049326529137,0.6948187051645485,0.8147375387326353,1.2857954071964386,1.4283968647997394,1.6385559995541301,1.176940012740589,1.0657254900110948,1.4623931219135908,1.1645966140921666,0.9385788719492867,1.2910057378814144,1.3722288654799617,0.9849836015151274,1.0507622668760905,1.3200846919254074,1.1919903476489968,0.9585427840060065,1.0550992314319991,0.8283496923749379,0.8802626795949682,0.8967281361742302,0.8440254072005045,0.6762762167130812,0.5793936945769742,0.5844896878290443,0.5838253520230234,0.6793621619378735,0.5898586851991987,0.5957889869574728,0.9859283225392336,0.9559304006183749,0.8039299777393065,0.9141316239909296,1.1666485715107313,1.2316794567758333,1.235685241643078,1.3779157081118103,1.65977222448232,1.440367186492816,1.3879904047969844,1.147199705004219,0.9966725488855168,1.4438084101809845,1.4182258236148622,1.545390118697652,1.6741804893253351,1.0187918782325645,0.9159753086507874,0.48294661001250605,0.433405249090755,0.49957832782427364,1.1776118164219305,1.1920563411707594,2.1877155875889165,0.8407748849766575,0.7635303225594162,1.473569282283678,0.9731723378108892,0.6120267906889921,0.8491675000431355,1.6431727470152262,3.458452882249583,5.0853759223947055,5.667956691946888],[0.4873540266915647,0.5250229669119452,0.5558167868963028,0.6084875410245469,0.5018676581557125,0.4522079575189295,0.4264698650914838,0.47732158332323926,0.44346684064381264,0.3831849676605454,0.414372035927821,0.6221374150551227,0.4876167563081536,0.4187606060808256,0.5841488944064109,0.6051815517847625,0.5403930513699514,0.6466220878767523,0.7284835198416805,0.6568815669420642,0.7496990589759138,0.7489799027945147,0.8458409478017715,1.1069718865897769,0.7443326161415044,0.7534487890939415,0.6456197874395553,0.5897152404014013,0.609251010157259,0.61366811594015,0.6995453858993974,0.6664313990551414,0.8288952189772303,0.7817996118858337,0.7313916140214441,0.6764056672922512,0.6440545264120542,0.6205088080021409,0.6025725867288332,0.6546905859084146,0.8879240519238009,0.7003066028845595,0.7359338671510901,0.7721438159706707,0.9791462599845956,1.17572412612747,1.1800619165675583,1.188348430611409,1.9497100024571692,1.557922294261972,1.2282861049394154,1.5102095259356176,0.8978356249339642,0.7940115551454475,1.0512629610148105,0.8017920780805573,0.8632786166533122,0.8052381078434201,0.9046564002561593,1.0305664465809397,0.8469733206906749,1.0290407107223134,1.0722579080543024,1.1507334366806148,0.845551376177407,0.8790714395577026,0.9487661576289025,0.7563055196779537,0.8728428886892338,0.7874768605071676,0.9039069864481027,1.3846985249087174,1.003562121993597,1.0916823899038117,0.8566472154864794,1.5584853884977445,0.8345184349992026,0.8339644811374372,0.7821273168647607,0.7866066529972046,0.785238713622547,0.7754785816692673,0.9739188213873411,0.7933009893945488,0.7308448082398619,0.6777350900449141,0.665301267206628,0.7824819116791298,0.7224245002412552,0.8587311849959829,0.7969743619162759,0.9460409926998196,0.8356733896565368,0.7848811031946836,0.7200395464896364,0.7780384103836638,0.6957733787875223,0.7342156542262448,0.7109684007484446,0.9618349415871109,0.7272693898747146,0.749782105929669,0.6586949969640967,0.6639703624186979,0.8024704687511508,0.6234802947560507,0.7657455931026507,0.5600628434164866,0.5651992690131674,0.8033424579095451,0.5064775699178404,0.4747421313522278,0.4509757000238963,0.4394258683233467,0.4610283465852195,0.5033689927996158,0.5289369287994001,0.5785390661117712,0.7397232026621586,0.7074892697946323,0.6298432935485544,0.5695903488174665,0.5418559835249028,0.4630765770119486,0.38644603284633366,0.4021927634833014,0.5643243640065964,0.4445110832025259,0.446906454607829,0.6031652040256014,0.4649856186648301,0.5474590462478729,0.5230513323399597,0.8318711486047563,0.5572718568247423,0.5370708433462176,0.7702869689136389,0.49299442059742804,0.5846104528458625,0.6248809455651498,0.7197892217099437,0.6969691766454719,0.5973638221622084,0.5494034852063051,0.538114271801276,0.5511346699046292,0.5121657415443066,0.5137209282191695,0.5059521768328343,0.462771496448337,0.5543044229345295,0.6738322389809834,0.942306469285235,1.8522219416713863,1.2431770152084738,0.8025905002369859,0.6323085715053665,0.6209306474097096,0.6140899185750103,0.5698425406595065,0.5334252316367503,0.5700444798709572,0.5143643656410456,0.5490987112333652,0.6155739119779424,0.5941259895899047,0.5918731291039181,0.7405866461127317,0.9135793014013666,1.0919933035053082,0.9999435275448949,0.7451211068808278,0.6280561181625411,0.5501868807219233,0.5614866924466708,0.6578967622229815,0.6634372531599629,0.9029416314467312,0.6843135411044791,0.719629235191183,0.5518313451068301,0.5735974949188779,0.5805434925396468,0.565851560631821,0.5870742269756485,0.6055527068577957,0.6576233246234114,0.9055838625448603,2.097378207193291,1.0872502079943198,1.4809052105853269,1.9995186001599432,1.1843486223063118,0.8736289788405331,0.5855512923933722,0.5351274204525982,0.7801562418892829,0.4778461542909557,0.5299788499855682,0.58177089794311,0.5363442909493245,0.6259024544221932,0.544634669735284,0.5781751160227571,0.5734367896873432,0.5989871459165035,0.8026118383982187,0.6605122257208945,0.7441228933816001,0.6792798266538214,0.7886771235703035,0.7499853386071178,0.7744919857758844,0.9145318625113019,1.0456319179309475,1.0709311997264737,1.031213180003004,1.1650887416289437,0.9208212008841186,0.7875942749290946,0.7582552311517531,1.6608500650258051,0.8833462035714554,1.53382931383909,0.8636622094594049,1.0434400471968275,1.0503410275692748,1.0070183917378221,0.7396408624834839,0.6027921218290024,0.6903815559171977,0.7219358046044358,0.7595485811151977,0.6028080472424975,1.0613398902712072,0.7621034963152026,0.8149377965429334,0.8521172119189048,0.6117528284723553,0.5856827203855655,0.7816888722143092,0.8711658666257563,1.3213701308675652,1.4627708127156995,1.6545053065029325,1.1770504046870995,1.099834002645104,1.4860436235937895,1.167368662151433,0.9531837420796165,1.2692879071663339,1.3262800090784832,0.9713362306544403,1.0332771775190865,1.2661643711340478,1.1337008429295132,0.9372076391249077,1.0252270737826794,0.8500816569602428,0.8979592701243739,0.9194455257415223,0.8893881663253398,0.7286867223940212,0.6430021993072366,0.6570708421152509,0.6504321978563964,0.7346337242261478,0.6415996293408672,0.6515310288931638,0.976660242180494,0.9578528833742725,0.821322191849557,0.9206380446794336,1.1623423299908127,1.2102213476682155,1.207423842701054,1.3336883013163001,1.6056427131612887,1.3926535536560818,1.358512465377813,1.1404370467679483,1.0118695747505415,1.41994923292022,1.3794029616491514,1.4882361755078974,1.6181545994612387,1.0113987067974497,0.9224643892429368,0.5422101277209995,0.497141926821951,0.5678012649087735,1.2266404037320706,1.2852444774698046,2.17370174448217,0.8131940019631728,0.8312555887051372,1.5210545352611577,0.9503124397070085,0.6711853495136253,0.8946862426692336,1.7473042686334503,3.554810987854737,5.223373831438968,5.885054592269447],[0.6645408121970937,0.6696272717100458,0.6703934584844897,0.7097551055122022,0.604745284121721,0.5742900983440373,0.5170727608266297,0.5460575457708416,0.5244575819897599,0.4332924054126202,0.44543622545914097,0.5901632023115869,0.4934761430512234,0.48468788131108115,0.6238365622571669,0.6113377975908338,0.6191078321776468,0.713427433667884,0.8106226006304778,0.7382895585828326,0.8506153558605425,0.8180813590770999,0.9643648275230181,1.1660351557668893,0.8418028943583565,0.8432328034958215,0.7318238473180021,0.6821717936218251,0.671170400881395,0.6196578407568082,0.7006996333472713,0.6192035971943342,0.7354674827850964,0.7206623609880978,0.678319936708645,0.6784233658014499,0.6337236977894521,0.6579389774644296,0.6541107504706531,0.6760873071243768,0.9353650659379331,0.7784058317232433,0.7888467176340408,0.8334226689567167,1.060316972789317,1.2921824799707309,1.2430728670462508,1.20590000141902,2.0105263969487717,1.6687607423237147,1.240942967358705,1.5562852139302266,0.9381571269929051,0.8279042430391861,1.060353729773439,0.8340040082761524,0.8828680973305547,0.8223450935368538,0.899557433017398,1.0260536255513546,0.8705636530840022,1.0125942568785882,1.041296656264632,1.1542113588743095,0.8970290881968097,0.8957019550800986,1.042290770941607,0.8417964604308618,0.9728156209841632,0.8997549400377187,1.0608314840260695,1.394334640086659,1.0851167723256037,1.1370718455231594,0.8977467390469666,1.4763244941431923,0.8336091189683627,0.7926243025128265,0.7499178789459312,0.776138300276464,0.7473525032593743,0.7670087430592254,0.946693297216138,0.7546099276556736,0.7449256454324124,0.6883901092392067,0.6851321369188232,0.746509034043437,0.7114160873323818,0.842870631993181,0.7726290057903906,0.9339756784059781,0.8062930321886184,0.7294465069086241,0.6865448368535928,0.7456184546510587,0.6773785714387613,0.658026633289988,0.6424668676257499,0.8740373236039585,0.6566714840894075,0.7066094340434743,0.6031994539444795,0.6517734243903536,0.7637873790460279,0.6171914181555214,0.7475993847238879,0.5653923820967867,0.5938614225930785,0.7849180678530912,0.5593258977748351,0.5167649484899465,0.4980177852971238,0.507934733994298,0.525736384918638,0.5949746279448062,0.6161654918576115,0.6886382459005425,0.8498325740503871,0.7953768735479795,0.7611458030325683,0.6856416124059317,0.6464351840136549,0.5582691264852102,0.4706720003558671,0.4832925710030203,0.6452881447791423,0.48937580177592205,0.5058331546425966,0.6214686043579999,0.5258234410603733,0.5823491500581849,0.5630328695334714,0.8254929803790801,0.6010239214317395,0.5874063749488071,0.8280169494218528,0.5764132442103799,0.6725952331991397,0.6714039718339436,0.8018926439999876,0.7670184446167944,0.6909065146578959,0.6406065760515371,0.6214334991974831,0.6218627256547913,0.5760702352094031,0.5418701165730632,0.5291304718838069,0.4957375814233882,0.5953666067265635,0.7354246869872465,0.9412855457720906,1.8335490886423622,1.2453261438024035,0.7821910404036172,0.6177227475918401,0.6167164482141247,0.5922307153654386,0.5783625307277819,0.5532880989746579,0.5863427632243934,0.568956622654373,0.598100446948736,0.6564206362010029,0.6349264827644236,0.6538080253126944,0.7998478973440085,0.9612770511674923,1.1227096845062459,1.0330699289329868,0.7823984994909975,0.662825144332032,0.5711781726961628,0.5638328141717783,0.6362597295895286,0.6322930612618989,0.8591667297390709,0.6636993815573555,0.7016790791443008,0.5663913639067465,0.5768648386603208,0.5817570840682565,0.5815217702304248,0.6118530804999399,0.6249923311924495,0.6709541327379882,0.8998554930072553,2.081832128131726,1.1004559771533375,1.4933384205688898,1.9740570678273441,1.2038217963491515,0.910372084013532,0.6393558871971172,0.5775528607074537,0.8166858720740495,0.5298417331533735,0.5927269827511701,0.6444783460024133,0.6051389264863045,0.6992263562522856,0.625772553651024,0.6425731555234042,0.6794272756354194,0.7046564829240206,0.8569981123952968,0.7300166581167427,0.8426627273355212,0.766179485778866,0.8309541397489122,0.817236977915937,0.8688409129763355,0.9358136231556676,1.0331353849269735,1.0593327482549377,1.0030623435549488,1.1344242146654284,0.9178173117785297,0.8106284594127826,0.7809868792324767,1.670073056867479,0.9257446971973086,1.5538997832822183,0.924258283364224,1.0803487309704247,1.0994623643129215,1.0307761227268457,0.7761140731853696,0.6864174850658468,0.7588676923788551,0.7975074925757379,0.8078928178316522,0.6685133956571131,1.0831886079809243,0.7889886901756964,0.8217119363829365,0.8785606967087016,0.6597674823974873,0.6363092355846149,0.8309314395647855,0.9459458386089975,1.3429416639659524,1.4626188086544751,1.6577800228896362,1.2121579809961818,1.1534809706404905,1.4989246027347176,1.1973017741348775,1.0324618137717982,1.3189765399259525,1.3732307159723793,1.0521778551553598,1.1101278591655417,1.3095609776841266,1.2279182092944718,1.044245478836692,1.1138855483106886,0.9357560092300382,0.9782196245940254,0.9886121637501719,0.9565208574085293,0.8035173911025447,0.7134846889470037,0.7185483316306808,0.6836752878115446,0.7470267401620503,0.6719255009945108,0.6771077983330367,0.9533279177182866,0.9546292938853725,0.8445753259333645,0.9347632982351756,1.1860946980058067,1.2060482695822248,1.2025843742643498,1.3442299228915378,1.5868827505026304,1.336252585669865,1.323352914014318,1.1278048470240272,1.0117682552526268,1.3834182840213287,1.3499007341107232,1.4526123625607386,1.56624465533062,1.0127591812346837,0.9519988033039384,0.6116474599225971,0.5813075006340673,0.6786519520528443,1.2218218076128529,1.2538221263915046,2.1205246374612043,0.7962840204059407,0.8450980447210045,1.4242673105046257,0.9453937067039269,0.7761546155587773,0.9874753997690365,1.8827827934628307,3.5842471800569204,5.163209548381005,5.753241182671644],[0.47888949212687965,0.5374383504094443,0.5981959415443384,0.6736931225716368,0.5115796741332054,0.4601429233615008,0.4077487679539785,0.4187511946242728,0.3978179878333834,0.35160830688111566,0.3658782246820879,0.48979010160067676,0.4024505415296062,0.3981001728008137,0.5248629448777411,0.524219945134873,0.5124052909700396,0.5790831816944644,0.6415394439620954,0.6005511091598931,0.6992509931131744,0.6668990721099117,0.8203192891038867,1.0779804661135002,0.7060228619259004,0.7106729397946211,0.6147530398045143,0.546640222714119,0.5347452287786022,0.5197475229926338,0.619032668138406,0.5661561099472866,0.7209173197470113,0.6675960583428823,0.6145778549478524,0.5863596241466817,0.534085132958574,0.523686251298694,0.5354213616764314,0.5396547797671036,0.8019713358937133,0.6577422011047518,0.6718224009363634,0.7429225737133469,1.00338359859224,1.231002112186952,1.261460239017001,1.1132706371059586,1.8631483160678344,1.5975570518215625,1.2042584218758337,1.5338962903785909,0.8316450509598114,0.772333639061539,0.9797370734907481,0.7280362882462499,0.7594292255847381,0.7277753113717327,0.8025644482299739,1.0305632847941284,0.7773871175609031,0.8898802347631398,0.9260213288659107,1.0567987928651301,0.7882060283007749,0.7749846997612787,0.86760471026474,0.6869884811325662,0.8168502388881389,0.7395766399549182,0.8554350295597689,1.221307630468061,0.9197317911576516,1.0385903253597126,0.7804780813760587,1.4699181502808853,0.7341096537824386,0.7210277877279467,0.6582164572454471,0.6628611958336371,0.6550795772899969,0.6537964257705993,0.8863258600790974,0.6225746151694183,0.6482418528501996,0.5528847706854135,0.5632461828032134,0.6511408234436572,0.6141603490242701,0.7518164208695306,0.6847313423835983,0.8792707560815994,0.7577035501883976,0.6935220394563272,0.6393774107702859,0.7335520951909269,0.6400425277889563,0.6265376490706949,0.5844742376642559,0.8297624529836684,0.5976522011369498,0.6092879350521896,0.5200609349402856,0.5445184804157199,0.6304168517867557,0.5352429317649697,0.6466376124253799,0.48873771532819715,0.4850215320975242,0.7364452419875429,0.42668080047108414,0.40911771893662946,0.393498655241253,0.3975085255377533,0.4250834138976047,0.47012921385613154,0.5017573409330465,0.594897207920226,0.7420322248154886,0.6777030732243002,0.6160552469745518,0.5671756685034444,0.5586153516653122,0.45695761151681985,0.3738500381032812,0.39752837126559015,0.5774016912348292,0.4066514364656631,0.4123947713217328,0.5589756826767477,0.44888180945295164,0.48270253809591795,0.4736863596267585,0.7213683798338355,0.508506579321917,0.5156861895822475,0.7639193802521594,0.5322012289673903,0.6384434266777165,0.6151424108222029,0.7700903070548896,0.7736192117845249,0.6173957537822212,0.5505628525948826,0.5089978316041573,0.49850613731558674,0.45324339296911154,0.4475658619584703,0.43051029605138524,0.4140249506580335,0.4759436822091983,0.6201280803094547,0.865747382594205,1.8163843498575747,1.229095925821448,0.6959045739308419,0.523757160032902,0.5053768847979601,0.48894930225335,0.4669538260657532,0.46347886013041134,0.49793287410831355,0.45873780880088405,0.4774627269500726,0.6106774207209593,0.6234590170899194,0.5985064181496158,0.833041309187653,0.9972570883042841,1.1382790551858508,1.0224109959650536,0.7218729844174943,0.5601259714617393,0.49228827986137763,0.4625632997547237,0.538086597808175,0.5337177800790536,0.7593014957090842,0.5400833107263462,0.5907314006365836,0.47170194088134754,0.4989796863794509,0.5282887259024076,0.534117309593906,0.5628981661096735,0.5410228539856602,0.5608862123642391,0.8198851783023254,2.2416827434572513,1.029672202711558,1.696091846681545,2.1454452362385807,1.3105414724316458,0.9761417617382543,0.6105307551434714,0.5820758743617015,0.8055193872477077,0.4894006882619186,0.5525948368302336,0.537552541515826,0.46792557539751833,0.5404823751006474,0.4696992406401931,0.5417530133611298,0.532448596378,0.58176507183414,0.747713150158774,0.619286128006202,0.7494575041666969,0.6619108988612826,0.7168943795302315,0.7279473861010497,0.8129719753174909,0.8378477738090424,0.94751428524459,0.9704785596506628,0.9836705532065042,1.1161195509282948,0.8851126732861703,0.7596128695743567,0.7395754226839368,1.4787052655106452,0.8555697789144826,1.4407829712786926,0.8068271640795889,0.8988787512876649,0.9081449724684976,0.7975372788251391,0.6034675505305691,0.5464389496435642,0.5594496562569609,0.6938321513429455,0.8288689497657297,0.6122775665746495,0.9975572404707074,0.8939234718100605,0.9118703350962275,0.9111325126125295,0.635020973616465,0.50327443803882,0.6530899252532142,0.7566432228379457,1.1983865266385065,1.323373993819382,1.5526361014339851,1.1054515496531574,1.0249940675893225,1.387266950978942,1.1224149190111103,0.9139476910088796,1.2506358223021297,1.3549201931921906,1.0115865099006198,1.0478726801391225,1.3152134826161,1.2541057620576963,1.0116539722623998,1.072140092180564,0.8452049811763568,0.8503752402364494,0.8587953230241956,0.7910830097399838,0.665369465291737,0.5856584574787527,0.5896608950141212,0.5960798950978091,0.6926557395386402,0.6190423255419909,0.6455926655373382,1.0155449233331957,0.9619041537951377,0.8608723781900748,0.961482728749236,1.1868535768758608,1.231163158591952,1.1863117960294782,1.3423950675311442,1.614715521828998,1.3812098417049834,1.3008107912682367,1.075366685174967,0.8877989604971305,1.316850689725019,1.3065405163540988,1.4716824597851073,1.630431362257804,0.9896231072373971,0.8648692908829632,0.5320166829081671,0.5049438786798933,0.5802816109306173,1.1798684497054484,1.1700282847583512,2.1483658680283786,0.8140290765359895,0.7502973720107079,1.3882542119487515,1.0487680855311285,0.6829172383322778,0.851824741699264,1.6460722675206227,3.4168893472284614,4.904889337913046,5.351032803999922],[0.45787919656243564,0.5184552070849024,0.6097196955836848,0.6723467628419487,0.46984655879281556,0.41641816848410484,0.3734645283064378,0.36964636459629147,0.3577743566157787,0.3280201821607173,0.3373142648949085,0.4336616314862618,0.369593245899014,0.38761723835289175,0.48522354459129635,0.4744027911824931,0.48524893422779714,0.5598794509704037,0.6302155493791763,0.593425076995122,0.6783224811843873,0.6449232704975774,0.8133936712830189,1.060827161024004,0.717180056320937,0.7118348946644898,0.627378911772758,0.5503522581834285,0.5088219352635154,0.4756353503194953,0.5690731866535764,0.5024745524754034,0.6571235317906977,0.6050367042317726,0.5423596250728973,0.532296666826087,0.46847603163565216,0.513282553701576,0.5373526179405749,0.529391712136654,0.7769765668425257,0.6609092779854364,0.669513388599464,0.748432861458441,1.002874487153432,1.25013477589664,1.2720891899581526,1.0768094387412934,1.8340921021459804,1.6328772318825562,1.2138453391568758,1.5346558334027656,0.8322827455000816,0.798203630048851,0.9795278227245365,0.7168846782559422,0.7228463675175345,0.7325046107030553,0.7834110591556137,1.0576150930916113,0.7489783701871863,0.8193498256152721,0.8480679130011611,0.9895188239711288,0.7660767672651987,0.7198399243314647,0.8152766373390563,0.6602204820164427,0.801981744522247,0.7347527358027285,0.8436444995009172,1.1522689068729128,0.8995627557637478,1.0027549375220661,0.7453139577988471,1.3903275123540035,0.6875407302431262,0.6650829915771134,0.599695908500252,0.6081058422654834,0.6063332094901138,0.6084131334490733,0.8511985895293118,0.5525031826186897,0.6292010983066129,0.5067770137351617,0.5353323596728892,0.5817082168797687,0.5674449099782654,0.6902983205699935,0.6228077074525573,0.8561690078524523,0.7254942077391582,0.6478054113230086,0.5837130399759897,0.7222065786432025,0.6287564573882233,0.5584546802577046,0.4951083968055641,0.7431390398968013,0.5049589096003799,0.5093359289219087,0.44132405564578886,0.47589863233393287,0.5698131243561384,0.5106426389855517,0.582011220614744,0.44632000319049786,0.4403474462247722,0.6850312777544231,0.3821215950652579,0.37206055253990916,0.3497576301018466,0.39400663040822836,0.4248700989421467,0.4740910207286032,0.5193363153898678,0.6219261958209134,0.7485231929133175,0.659001108042341,0.6274687527490247,0.5789718077422565,0.5654649461101676,0.44401193823083324,0.3479321254051524,0.38644854495849856,0.5652870227956919,0.38976920821999056,0.3976614080206109,0.5099715371926279,0.4501523331406606,0.4534908849866396,0.459060992716575,0.6451797807196352,0.4975691724605999,0.502679172677907,0.7298779763480288,0.5524076604696556,0.6544023792814496,0.5989679704428301,0.7878727608957357,0.8169924620647946,0.6505820581258875,0.5691034083870814,0.5211285442281826,0.49699195429085163,0.4431720511023462,0.41690974289137656,0.38869206087626323,0.37294219647478793,0.42248473089961347,0.5742493431575239,0.7760043835245561,1.6802496615045204,1.177465336752929,0.6099208979994618,0.4466921857234117,0.4213065340949736,0.43170205143935914,0.41664072275738223,0.4464433025348124,0.4805670546213139,0.4473350487692534,0.4727112418302269,0.6399076449246178,0.6523149933381943,0.6041511465440532,0.8592142776898837,0.9861890239429779,1.114188662250416,0.9903453347676281,0.6835204274847261,0.5233150951101515,0.5033316080529926,0.4442738304195298,0.49700204781039775,0.4806847272880252,0.690960897761695,0.4885236520465687,0.5451904054430591,0.4713861102567324,0.49386392034872967,0.546166268605819,0.5645379341898965,0.595003857903712,0.5588991806350068,0.5601555820031535,0.818709876336494,2.317546386254111,1.0532945835039584,1.8028678878424444,2.228712641389639,1.3866080877886813,1.0361322805255975,0.6509110212588324,0.6244791673239372,0.8040597476830155,0.5194762775176572,0.5863662413437805,0.5339672901302766,0.4416740843977899,0.47348769986186695,0.4315115324623313,0.5364589343221996,0.4840832230761682,0.5433209888119523,0.706829919749501,0.5794836308535708,0.6999269877220102,0.6351118979531749,0.6706141737435711,0.6909200788078362,0.7993501580493105,0.7974778994320851,0.8910677305901212,0.9022791870280507,0.9578080772912958,1.0573082038427923,0.8369271791703483,0.7115744607862535,0.7065481743368417,1.419930085795643,0.8010353770874981,1.3465669684638606,0.7288572555641128,0.7782692333509039,0.7851071403121856,0.6887587325093805,0.5502814990236087,0.5349425013629691,0.5209069305709559,0.7369589999983457,0.8744280110549275,0.657190809309929,1.0208515035223247,0.9718161337653254,0.9762801159921513,0.9924075361877164,0.683496692925849,0.46454055409691974,0.5649605983946329,0.6603763287609391,1.0825043356055435,1.1849623642995648,1.4314844301770648,1.002304744492876,0.9160264121937421,1.2541857011066244,1.0110525552501468,0.8117163721804749,1.1380091248316826,1.2662881416606764,0.9496128707386793,0.9631162936883169,1.235622880171238,1.2304296724502135,0.9583139830647065,0.993897829632835,0.7815796171243088,0.7569357506106372,0.7629043904918404,0.6953166240189881,0.5877386057129942,0.537330135532652,0.541026425542176,0.5637192817819602,0.6685040983839834,0.6229494895800444,0.6640219412026832,1.045701024232742,0.9735813273125203,0.8992048987637308,1.0064199448366358,1.2010853439251858,1.2342821580816519,1.1537411727854026,1.3192726707902918,1.5897057637531953,1.3184018870700132,1.2333728160127444,1.0251350484223176,0.81156725828778,1.2407798369735374,1.2465141121326384,1.4373059698132555,1.6169630147108367,0.985420853867283,0.836337018615052,0.5363052210451933,0.479651395619489,0.5830792193206155,1.1533795388869024,1.1165944445410534,2.098323337906747,0.7493357333287104,0.6998068905969079,1.3100039150539453,1.071152257977923,0.6513293505752973,0.7943772783424988,1.6000956730074858,3.361661357802754,4.73822222872832,5.070810936222193],[0.46725337993272575,0.5496774443138802,0.7522140195509716,0.8032731132098141,0.5864380958510013,0.4981894012083466,0.5033111740637338,0.4910535637371493,0.4998204126112199,0.5628173108634054,0.6204849319297794,0.6821097227689075,0.6717717697779539,0.6795365924488512,0.8229923007910681,0.8135839094569631,0.797369641973607,0.8443719842419376,0.8757121773333466,0.8676014931794761,0.9420877971328858,0.9020508696704166,1.029448536414518,1.2476350431591912,0.9355302299069174,0.938494774100437,0.8971396650041822,0.8449306175003992,0.7989034549207152,0.781331891694688,0.8899530848284286,0.8357420575388282,0.952206374408961,0.9225536788707518,0.8522174542979716,0.8544127625538577,0.8015817045421293,0.8278260263790738,0.8696308531715704,0.8469683973081542,1.0085272784028168,0.9400602410622756,0.9510495766399863,1.0147930683795676,1.2970010587915681,1.4590544425399163,1.6126312431629104,1.3206051639555363,1.7197681915304415,1.561032660825046,1.490940781521218,1.5640474890795157,1.091234445568982,1.1136941021466915,1.2143029058968828,0.970284165784281,0.9929613622793907,1.0006229508129005,0.9853295910654304,1.244555763724555,0.9569671873317053,1.0041342130420359,1.0394325888897231,1.1987514908353583,0.9909333330577853,0.9585527713212514,0.9890695094919016,0.9010522656692542,0.9976543460426625,0.9932568316838352,1.0168990873234678,1.173051290692356,1.099519754376279,1.2134102821430475,0.9971787306463552,1.578682000180086,0.9496110362351523,0.9447645193683739,0.90287171778625,0.8994619312759408,0.8896601665308111,0.9067724634893679,1.0331101910321911,0.8203094664866465,0.9173759733547145,0.7962006171369607,0.8440259639940575,0.8498486900228517,0.8808396752521429,0.9602500211409413,0.9400305992214012,1.110881791273503,1.0280704031418393,0.9707004241424557,0.9083898397621909,1.0579164753900077,0.95999661865712,0.8818202258541954,0.7968239076867912,0.9020418727479971,0.7993510166535636,0.7278021408537463,0.7617459986757518,0.7083383526792588,0.7876968522837711,0.7567174778197857,0.7634397838066107,0.6580569790780673,0.607659330051422,0.7929892318603182,0.569876518659095,0.621748249427894,0.5719267155876435,0.6795906091108931,0.7168190503908759,0.788607963535679,0.8294464311378801,0.9387923126314335,1.065095994973509,0.8951046465659888,0.8878680404618545,0.8389588776767831,0.8606564723823266,0.7256324085139941,0.6115549369599074,0.6833753173956116,0.7391416405651934,0.6264633598224888,0.6485046416983551,0.7066541578731179,0.7077753780435,0.6736347491500557,0.7178942417607675,0.7935579467772886,0.7359446467237233,0.7270656801123586,0.8773736608364383,0.9015974824629778,0.9760583787785787,0.7910613445401475,1.0238999978709613,1.2057884008322979,0.9893769430815478,0.8824246117856314,0.8571730764430561,0.8234242654457594,0.770826795120817,0.7053838942597861,0.6618717052282308,0.608186868873692,0.5849261756406351,0.6867975506325674,0.8301366451003365,1.5857328015482595,1.2230542694592255,0.7666789234714012,0.695114597912802,0.6334824984209712,0.7216510869027909,0.676136442645096,0.7284080856744949,0.7925705949095475,0.7376746012271277,0.7989896366300383,1.0371475960499554,0.940016472130012,0.8468245135383525,1.0497697277382905,0.9729751459634378,1.049863328244239,0.941916977971113,0.8012992619529878,0.7451571516380808,0.8202439628001963,0.7655854338780197,0.7764886466834638,0.7993612107638915,0.9519899768594366,0.7805097901167195,0.826343100239841,0.7910094949621808,0.7743347790173298,0.8479672068724345,0.8712321007033769,0.8749722060318085,0.8697138645921069,0.8722928149314136,1.1698244699179876,2.478776346683094,1.2937023806109904,2.106869238914453,2.4594257826809667,1.6142886045225924,1.2361623844066079,0.9135505288685407,0.9327644032951815,1.0152459233151339,0.8067555472245075,0.8573425912811199,0.7587102332546927,0.6456193719459318,0.5778400242752583,0.5829234936700007,0.6910856946556168,0.5618885551196543,0.5807940345295083,0.7735956759551389,0.6438674885895356,0.6901369838835004,0.6611536919181982,0.6833382718380809,0.7010533640483312,0.8384857989082145,0.8004581254146109,0.8795668514438811,0.8906646718974517,0.9728467896361268,1.1038230106845919,0.8932081071718921,0.7651487904330426,0.797601321396238,1.387385877361078,0.8568664929293173,1.2567565649335497,0.7631087892834915,0.7465714598949863,0.7528802269002379,0.7277892378901022,0.6798289594598,0.7076317259706626,0.7308352466649393,1.0198143983126036,1.1133008605743016,0.9325611713279126,1.2390524483436949,1.2801463197703016,1.273263414890077,1.2756438579889897,0.9454546226622789,0.6837240182864337,0.7011415253255956,0.7197960774264847,1.052753814433876,1.1256679534523215,1.3681071988083449,0.9810461721387636,0.9055988358767795,1.1976812490865576,0.9706253693082475,0.7616734915409136,1.0531912563552301,1.2024121262026894,0.9153865990785505,0.9080403763093267,1.173604089297163,1.222333713033994,0.9310692964776278,0.9367635743203361,0.7398550316063318,0.6969767127961509,0.7095072868595738,0.6807492190659138,0.5911559959658053,0.5863994972939779,0.6152017777866254,0.6868906165516993,0.7715192937000046,0.7880166213467479,0.8593534675042026,1.2274921951431754,1.1310616159205655,1.1229027790159745,1.2337766942686421,1.3943862619510279,1.3898942378017782,1.2793736980530017,1.49014547216457,1.744712254158117,1.3859866299009762,1.2768118755610378,1.07337828062479,0.8267506903582764,1.2385387133754704,1.2781498400663514,1.5222625408603288,1.7245406644732517,1.1396461529905522,0.9502155751409332,0.7497834521799506,0.6479282059609164,0.6910180255895024,1.2055311851196377,1.114469932574823,2.054836887908131,0.7470750950584423,0.6821250845769823,1.2108479296222936,1.0995419100810397,0.6639881689735351,0.7674790180743514,1.52562145213129,3.256681815469304,4.536089805275694,4.7992046735644305],[0.42621200965445677,0.4638043702911032,0.6200434964297992,0.6390306740351536,0.5150959422242064,0.4222364193642037,0.36409702960399254,0.35461083804886995,0.35383844971076867,0.36217656374217,0.3827376007633063,0.4431699096311713,0.4097427303875558,0.42908465873025264,0.5151314994171377,0.496798426240806,0.5188332992751322,0.5708679548625444,0.6533646148118392,0.6106842485102102,0.7148111923729744,0.6763854458958984,0.8676630003026277,1.1208507278549888,0.7557603441529201,0.7431505276531831,0.6698676039089049,0.5878290659888672,0.5355608894664359,0.5017736873841606,0.5838188206410359,0.5292433750290203,0.673420955479808,0.6234576042680408,0.5582904821793621,0.5475467781512204,0.49988198557008623,0.5570170535243101,0.5887635080630726,0.5777142620954002,0.810817329862999,0.6963848852835847,0.7018831525105776,0.798514518804955,1.0919184999791036,1.3575517889663145,1.4195377063095584,1.1185589223291335,1.7974586000528612,1.6764476718242796,1.262159928649133,1.5503025535119925,0.8715805782982711,0.8678338538241482,0.9987697451930244,0.7420986624287769,0.7702760039788208,0.7534510043449143,0.7802873020149717,1.1276113780205235,0.7894057364327168,0.8318826403693184,0.8553048357898837,1.0099233549221225,0.7950520372979942,0.7391382683416601,0.8248048307561863,0.6604574964922584,0.8264181925097526,0.7416841921321593,0.835731120116411,1.0885379403785571,0.8914744639233999,1.0340676813025214,0.7552010511480006,1.421491612998556,0.7020434222181521,0.685126125418901,0.6174422367652433,0.6268577509864971,0.6157821412497826,0.6327038391118277,0.8459655835380218,0.5667195615112057,0.6656895256882773,0.5296813821927371,0.5656339084065611,0.5978230786340419,0.5853719028491492,0.7070950949704895,0.6458448753408779,0.8782850526008938,0.7566517291969275,0.6761090424891048,0.6093807317316047,0.7502452316597474,0.655748971030853,0.5735754249227528,0.5040868370097331,0.7595071367362431,0.5110989082083254,0.5166452785716904,0.44818452396498737,0.5077583096355361,0.6076811050709244,0.5576739442380089,0.621368050037162,0.459419409767744,0.4573144728124697,0.6869732524444239,0.4056740600846636,0.39461036949630557,0.35613597875953523,0.4460429587829676,0.4685942194810918,0.5399557561786563,0.5803197172927822,0.7022598691538889,0.8502184687798274,0.6770688551324985,0.6643534612517273,0.6218211819354929,0.6182335767176904,0.4909898093592262,0.3992840332165765,0.4503711992601302,0.5570983099267401,0.4306018995237925,0.41824765163434496,0.4975446977713886,0.516608196193669,0.5033878469468142,0.5048618229357262,0.5958572253891635,0.5223374635884755,0.5236574533401871,0.7521014711262688,0.6484268734913763,0.739224955378476,0.5930320350853391,0.8571918687990503,0.9447036636383777,0.7415688201684417,0.6440227754104256,0.5880175388290122,0.5474436099155171,0.4940218437003024,0.45002010653068936,0.41769539817042284,0.39730940769922424,0.4279880288628309,0.5649531807188112,0.8188687979836891,1.7586950728575255,1.1792454630978473,0.6179159213253257,0.44546320552142143,0.4247009677274711,0.44993259035695077,0.4331869986208533,0.4800676091550321,0.5143013913976836,0.47812574647535433,0.5068887482880198,0.6910562761443835,0.6881593879050598,0.6292926973798441,0.9175437959930826,1.068368599490662,1.13399344708415,1.021286635533684,0.6631464522085472,0.5289528043326847,0.5571546815958456,0.48117281249298793,0.5249719468930069,0.5008435379614306,0.6974087112630851,0.49641967242993734,0.5736637541338419,0.5147214921163218,0.5328866718273904,0.6081491972352111,0.6369825764067472,0.6583387772016146,0.6317344148908033,0.6156147796195194,0.8641432674427414,2.405522980746943,1.129850536690431,1.9422560746293265,2.2492226122678396,1.484062611209507,1.1456023526539005,0.7561775264794499,0.7600167652843098,0.8898044227157875,0.626107865592029,0.7005949192672488,0.5922190792135801,0.48195438852371447,0.4587206157639755,0.44299030653254223,0.5688605604263937,0.4864091387855825,0.550257002461231,0.7209797327408197,0.6093559216407225,0.7306829741725913,0.6682017524113176,0.6822338332946095,0.7349966602431803,0.8905879350465753,0.8066186549162987,0.9249670058472009,0.9328530820417122,1.0252101493693238,1.135727308800191,0.883397232374296,0.7531000243916898,0.7800323710180276,1.3336269161833305,0.8573799431600987,1.3244359697095613,0.7117927790994129,0.7463366290989338,0.7469097495024459,0.6844680984956988,0.6179820332609111,0.5866567543578596,0.5844529275470423,0.8679876142239669,1.0577255888043513,0.8088562684665839,1.0809721334755014,1.1733370968667884,1.1530765685418802,1.1425924333677617,0.8146583401734093,0.5074837641432336,0.5582513539277145,0.6218653025068638,1.0166706168538087,1.1040961458532281,1.3677119626124956,0.9971139973968746,0.8812325976338728,1.2111403866573314,1.001414519287672,0.8144584407698305,1.1840704035253888,1.3409206441937607,1.0171073246627003,1.028847595807324,1.3398026234049838,1.3582968734040335,1.0422227678240683,1.081349270793785,0.8278492506045734,0.7835226095095875,0.760244036209811,0.6721950371691834,0.6140110501303989,0.5611538712831468,0.5414681960677677,0.6278705073270442,0.7264153965840764,0.7058121288295021,0.7774556582584007,1.2070314415281966,1.1046185807734932,1.0756481698871503,1.1987950296656735,1.3984159515092185,1.4224475613879788,1.3292204958935778,1.5057648571835698,1.7271428291471875,1.4694657627077536,1.3303153399728658,1.088793947413229,0.8456390334985897,1.2960671443122451,1.3306146561753123,1.5667183464705643,1.7307445109506296,1.0848107367609,0.8825743154191215,0.5922973621895634,0.48468369881559775,0.6259712665192648,1.193693147930022,1.0927063903937326,2.1682734862883195,0.9002109772865032,0.659524268288737,1.2772585187789505,1.1786726415888231,0.6701913838166651,0.760359535174541,1.3909999269726567,3.158536014805692,4.467193273167243,4.70021461578743],[0.4311748246353227,0.4758320432823444,0.6892313094144566,0.6785026990917585,0.6000516779010873,0.45403145090085745,0.4215879956102308,0.3841154964595296,0.3809546743804034,0.41316923562022867,0.40867021648688734,0.44394831261964585,0.4688443174469592,0.48756467253483937,0.5580246716600197,0.5434009957982207,0.5958184351653343,0.6387746531765688,0.7228881729754232,0.6847061466423656,0.779880353552217,0.7559746975891304,0.9634356049755897,1.185898785414961,0.8607882888435104,0.8173046019475831,0.7761991732613394,0.6713016721823429,0.6130573156502044,0.5575573443183104,0.6192140053189379,0.5503372467365566,0.6463869521078539,0.6480210585626771,0.5808201623229178,0.6085099305277569,0.5802628113917322,0.6756111566603512,0.7157357349023662,0.728606406934778,0.8785946188734723,0.8114233569761983,0.8194946951078942,0.9391115103552238,1.1880575646687617,1.4228950277573198,1.5180122841949124,1.1785890127509646,1.794331755705282,1.7837696883767553,1.3206606593929973,1.5548718020645185,0.9449981145414532,1.0017059306226572,1.1215255084031814,0.8336507719001676,0.8483091206254223,0.8661027998303223,0.837307739915548,1.2546158194683037,0.860568746011977,0.8118453571873584,0.8294797769738608,1.0068192878585545,0.8539042393954668,0.7668910068086502,0.8062737589428939,0.6970853660070748,0.8666477561046892,0.79423407443247,0.8821054096140256,1.0678243739078639,0.9053819062134496,1.0815881751323757,0.7919551105665373,1.3516316190596553,0.7265124188621425,0.691823063067782,0.6381383503855134,0.6809909997070623,0.6833018559341655,0.7127248322608506,0.8938759432137662,0.6790226742502062,0.8197929732710008,0.6122520302082874,0.6810359211648085,0.6313838371663542,0.6406753740430791,0.7276281996749163,0.6697829751967346,0.8918148172978608,0.7890403060455746,0.7062879992782293,0.6396558703022265,0.8037562488863375,0.711375934985639,0.5698414916752191,0.4947327156903645,0.6707042714727518,0.5076648226502828,0.5047378339902371,0.49308620760091526,0.5394562210900133,0.6373436038671221,0.6607594919633928,0.6779061315862612,0.5890894720400764,0.5461935731102043,0.700239184540053,0.47491450536516117,0.4877823434223749,0.4316085543434991,0.528334639972619,0.5512413398372278,0.6274831774739541,0.654562278649922,0.8052056312138534,0.9302601862723473,0.7005861014859784,0.7111117794484193,0.6550327732296685,0.674372119766377,0.5677680742192631,0.4899570910742136,0.555425555318764,0.576139453006886,0.49722657919179025,0.5072997095715196,0.556497560851624,0.6299236915717371,0.5904898709723301,0.6432776169402512,0.6062803610185097,0.6153338530126568,0.6066371426783251,0.7751485286483338,0.7969730746933957,0.8739377702656802,0.7285598385240758,0.9800385822419535,1.1004303367173716,0.9008079622317002,0.772970123312364,0.7199871567951761,0.6568510446693879,0.6097582948551703,0.5521060752107654,0.499692986736221,0.4744870145674805,0.4703456450816301,0.5751391688661734,0.760091077174291,1.6144557261009118,1.1071969331529976,0.5724777834935938,0.46022355664735726,0.4414110953887617,0.4900681585798364,0.5203219557632708,0.6017417910142948,0.6077308052124781,0.6134912995739482,0.6348314342764962,0.8569108791297095,0.8431548275574898,0.7826502185540971,1.1061796717721717,1.2137786964196582,1.2123872103304598,1.0889674799250133,0.7612088267218337,0.6456866401192629,0.6913143473376774,0.5897592257514491,0.5950341568923777,0.5755381948337119,0.741437950940839,0.5911806690731348,0.673299482587373,0.6756311216478478,0.6537612314816026,0.7546210498507733,0.8183276846715236,0.8280344511531226,0.7932262917119353,0.749731898122433,1.0057311984125155,2.530291428434186,1.208373920601832,2.133476764502592,2.392014972521113,1.6428521050832297,1.3030691890949926,0.941685212213404,0.9923450044092952,1.0119376530690236,0.8257947499973475,0.8738084864521473,0.7080248866390892,0.6181908884149067,0.507352064918591,0.5179505893751087,0.6614980678000119,0.5556773979378447,0.6044397479137986,0.7616336545349155,0.6811457688268933,0.7773139227701297,0.7833836194813906,0.7574611137163496,0.8569742678623722,1.0696296598996942,0.9199269705889003,1.0056540202537376,0.9306496125239265,1.077895482303267,1.135651376250883,0.9327168263221958,0.8249303572162019,0.8821030273204958,1.3061498838130832,0.9505971321514372,1.2655803876305616,0.7807177239395018,0.7618170583723761,0.7574752057981704,0.7606035056819099,0.8022036788930987,0.7739420493573176,0.7742958802055544,1.1044131735892044,1.248902067652027,1.0180622273849265,1.2213690177438117,1.4539416999126455,1.3998969431117978,1.3683305687832557,0.9972706557050718,0.6752240662945648,0.6624582702784392,0.6534044145931377,0.9106100917291576,0.9436380094850763,1.213575451345426,0.9173016245107252,0.7984149613733305,1.0500909763100101,0.8767572333198954,0.759076343985003,1.1088280680963942,1.2926162982275833,1.0398542076028245,1.0288047438796395,1.3308426666408488,1.4335964677596096,1.1204418481321174,1.1101859816293165,0.8634647330574732,0.7687745512398799,0.7326408364984047,0.6686771135594985,0.6596231136452478,0.6338924040391197,0.6239053050764554,0.7604526333981881,0.830293888761256,0.8519448158198285,0.9571991923687498,1.3554278039158951,1.206725436215085,1.2301361534667528,1.356673044105082,1.5139677226905617,1.4960153734834967,1.3658709163805192,1.5943542022023172,1.763481480893407,1.468532441996567,1.2973904598326662,1.0768755421125875,0.8225526580152283,1.2077531817635967,1.27349501173883,1.5722130063969342,1.7605608882212198,1.1543050542812312,0.8979595429302177,0.7120095525426612,0.5929564940951326,0.800507364489736,1.1424353014272617,0.9640011284617381,2.029930977183067,0.8333313856740165,0.6862741173392543,1.1058927673238859,1.206349196495642,0.6415883091272764,0.7799756651206468,1.272615146510176,2.913181955308009,4.049173349574578,4.143906479376779],[0.4372102472928594,0.45940793065572477,0.6023706741968485,0.6066848190927551,0.49404113040944203,0.3973284538017383,0.31622028438846683,0.3495221470971415,0.33636565133647434,0.33820875895383484,0.39642977875275126,0.4605937143220623,0.3883068755665611,0.4220529743115404,0.5148617216314455,0.4841599867617879,0.50813617000896,0.5646338516574141,0.6353115891873887,0.595281008307371,0.6901431914643692,0.6554995419537318,0.8751703125784265,1.0887224686532893,0.775697680807783,0.7305911247622409,0.6663025109204107,0.5747111398751017,0.5150434967290082,0.4897741038965147,0.5707881421607028,0.5105187292451114,0.6439096738832591,0.6052593673231879,0.5400148838821363,0.5311587360110951,0.4728552823323363,0.5352015914902334,0.5675853601717927,0.5672318829031763,0.7849027090740399,0.6696493227960786,0.6692679231614768,0.8033152695433969,1.0798867259233043,1.3795125926275242,1.4188486715413766,1.080491354345203,1.8171222451218936,1.8267964214581187,1.1836063037995879,1.610668340433852,0.8395290904566549,0.8530780935247801,0.9991930956500458,0.7097820736745566,0.7258723773308053,0.7087737266861377,0.7333548783740164,1.1150385524236384,0.7516333821429341,0.7765176300009644,0.817785449884885,0.9332970324983335,0.7484836119551195,0.7078927559883201,0.7789959133488762,0.6339241238555907,0.7966776225287306,0.743321788211088,0.837449419414785,1.061674617928532,0.8880572007428601,1.0144717353052368,0.747758883176868,1.3852419248399672,0.6754024962283502,0.6637170453327473,0.5958564479310463,0.5872230790836405,0.594709640792814,0.6262673944993228,0.8278125036456038,0.5393790079843462,0.651750575299293,0.5105001763737875,0.5495530967335351,0.5637153264430368,0.5586305246845411,0.6901022801807597,0.6312079088996483,0.8729190123277601,0.7492829095264318,0.6508645242083889,0.5981155644771934,0.7224160001273534,0.64438462380885,0.5839203002155894,0.516046291059598,0.7458822657684882,0.5027352221644394,0.5553849879954681,0.4471176615979492,0.5024229448511054,0.5902491446818955,0.5276078315024134,0.6240863303345255,0.43531234085488135,0.4640458923164128,0.6674518142467428,0.3818278401487927,0.3755109805425121,0.3387833585941609,0.41604721248108895,0.44248356303090913,0.5168091860018974,0.5754394004490945,0.7074681735643638,0.8497813029795263,0.6612535394392051,0.6577650592580233,0.5921717499431951,0.6005881092829557,0.4667329821411592,0.3922239124686202,0.4306632541320967,0.45786142448620853,0.4259105924994465,0.3946207360361528,0.4731732802107902,0.5160117103371208,0.49508153977925257,0.5190218358011812,0.5467004385429123,0.5008222217053215,0.5218552301617442,0.7708661678555694,0.6473395434364735,0.7494793143533532,0.6082602640813097,0.8918015571535698,0.9947637164922561,0.7875759706251455,0.6599490028088184,0.608143446593295,0.5391627301305496,0.4926198714444634,0.423612079957955,0.36573634436041025,0.39477887365548414,0.45662860033536323,0.5595812085609236,0.8121072115436776,1.6861000368236339,1.1194215111112578,0.6223972806542204,0.4733083756165669,0.4593551369881835,0.40873949294067163,0.4097617994572436,0.4401946362881616,0.4771540590336963,0.490741451970796,0.494212518702359,0.6566650540531391,0.7302386660700826,0.7011587799960779,1.0763808958206218,1.2986982681699804,1.26850766948284,1.1544472646717088,0.7000307977667588,0.5544473738820122,0.5358741376658605,0.44935289106246684,0.49363677354367147,0.4808939406872254,0.665465925275326,0.4831343335649329,0.5491043895096661,0.4844261365879427,0.5093860996447277,0.6051507677376854,0.6688608508571866,0.7077673462203949,0.6521190302388326,0.6190586021519932,0.8662744608197849,2.4385793783752927,1.1331166463777234,2.0158275926743645,2.2484313390348953,1.5545917270350718,1.2265511027939688,0.8259498957921816,0.8553314894730197,0.9224567483406261,0.690188723480056,0.7553147497533069,0.5913858031242235,0.5046738560068782,0.4635314148688062,0.4205835237457354,0.5836015146025801,0.5280342550401724,0.6164182659371212,0.7123200126974578,0.6427224436106219,0.8493990427326437,0.7914751154985846,0.7270160143953907,0.8688513335328236,1.1057210829899609,0.8672972640192579,0.9764536887731796,0.9201958082180326,1.0739507529259216,1.1519599047145535,0.9086774975087976,0.8024553161174854,0.8528288007263656,1.26511803099215,0.9420439342563368,1.367259260533339,0.7578571853549132,0.7572694753055241,0.7744654707073959,0.6732099216992836,0.7026702528971445,0.652943039674506,0.6762357865271371,0.9836609300392256,1.1819320725081297,0.9287925171083059,1.1038134444645056,1.3451375060737745,1.2862096345216372,1.2490916453403507,0.8963507848983395,0.5460683794302424,0.5756537914893983,0.6428014178659096,0.9997373222460334,1.0880590084084067,1.3628371215971489,1.051089971013282,0.8841093273275805,1.1898385659909907,1.0191642698294994,0.8913529314088243,1.30080703156837,1.494072551010662,1.1756858702512387,1.1929784907425087,1.5377879593073644,1.60380520370369,1.2357118908889673,1.266332947656535,0.9578072463435092,0.8936057278519506,0.8514523711885265,0.7364692198526923,0.6915196856289901,0.6244439876321422,0.5995979085527208,0.6880974939841178,0.7663738432026138,0.7704388591150343,0.8698667134833583,1.3120205093826065,1.1694211130491845,1.161123882845721,1.3027906393976239,1.519737480824941,1.5236997814554913,1.4141809411560464,1.6462527721674058,1.8188307434213524,1.532093935798443,1.3522051776016653,1.0882433940873666,0.8310454502085264,1.2876254245307996,1.3638433976720212,1.6417439120451363,1.8134846914157914,1.1463342363037867,0.8772808766340081,0.611242414093697,0.5017915452047946,0.7083338848298678,1.1298310403632752,0.9689298379664443,2.153904413379555,0.9862819528699118,0.6458679223165664,1.160833292931141,1.2605715628109833,0.6322612117274209,0.7480987484534455,1.1906758408065308,2.817139372184,4.007040285583179,4.13268003845798],[0.43064971912170985,0.47174656500317563,0.7159315978055132,0.6320546964920667,0.5450199096388293,0.42336285354931363,0.35164969041838423,0.3530009934666063,0.36428407272332897,0.3586107937714461,0.39291761786795315,0.4281110058330033,0.41770887287992703,0.42163975595941877,0.4658653979293806,0.46341800849011516,0.4990253003538145,0.545500524323626,0.6263304647824102,0.578117969284987,0.6838825507407618,0.6614706833850572,0.8776021912629971,1.0708336658838689,0.8283296334594277,0.7483525484647326,0.6961966815127855,0.587105333380824,0.5127664374831863,0.4707032956152073,0.5515225947290292,0.4714279219534628,0.563183581280484,0.5748760286368941,0.5086291477193529,0.5359507089139532,0.4769694590998898,0.5861406256863073,0.6051765940402669,0.6329693046102168,0.8229736032063879,0.707479182417105,0.7140235129390428,0.849932707166619,1.113797692891371,1.414485784535318,1.4665870904972527,1.1081661691401627,1.7753869048723896,1.910787529568242,1.2004195030086349,1.6048046993743794,0.900666755911124,0.9407709547933708,1.0672331305532987,0.7547933013703659,0.7766249768378173,0.7478353234238038,0.7542364470129423,1.191238121135209,0.7824208341793066,0.7410060932060589,0.7781262646722198,0.8704876475571951,0.7469545375792139,0.7003171751416486,0.7549659538555592,0.5977772210099442,0.794634498204954,0.7108810913958108,0.8460095858355112,1.0432879564891557,0.8446415448110494,0.9482230339869995,0.7186836590041915,1.2806771885601773,0.6301796599223819,0.6150318510675183,0.5587027919837808,0.5998562143142483,0.5975575773448573,0.6248634885751759,0.8308830676941922,0.6160070867524133,0.7128341069519027,0.5290234270820326,0.5803712672285259,0.5616448419154962,0.5532907291213539,0.6360562750980129,0.6006616442646647,0.8340365959391567,0.7395664652625292,0.6279069230250056,0.5670483172499454,0.7115387032271148,0.6457206252360284,0.5149871696066621,0.4586076579529953,0.6651039706910603,0.44789626606301824,0.4810809160498772,0.4015269279410844,0.4821178320138288,0.5689111498625967,0.5905142225311292,0.6312782073081238,0.5041292450772102,0.4769897575550356,0.6218822720102585,0.39284244587884753,0.38109303816494844,0.3290784189601468,0.4248313715628771,0.45381355948703545,0.5389308785377919,0.6012865131737435,0.7232137506366869,0.8731410393637852,0.6137196384040567,0.624968401319698,0.5710900015361131,0.5927459874716317,0.4672498176896677,0.41097949391916805,0.4658704273361687,0.4573269737809224,0.447905196867904,0.4297946478379919,0.4821545544200937,0.6095040056905169,0.5850485812867157,0.6399203517623302,0.5200473133331149,0.5690834004493969,0.5583324116477479,0.7528722145709369,0.7491948862171637,0.8152215160767434,0.6427258525609038,0.924819139428939,1.0564989133998963,0.8328052634575068,0.7139049937991137,0.6706436383662979,0.5687274150820193,0.5260891708531704,0.44774080707937736,0.390499610733335,0.40277210467769003,0.42328147533047805,0.5347331902515607,0.7422830829727712,1.5454638311561975,1.0581380566473955,0.566559144965434,0.44078889627239715,0.40113930395066416,0.40232647755880074,0.4284941004129053,0.5160591775747805,0.49733009358702274,0.5371018559022578,0.529326208403187,0.7112366494767397,0.7943140123682065,0.7767750512202285,1.1684959318331445,1.371857856266197,1.2775093456535904,1.1636375978161702,0.7151385009618311,0.5789438420584833,0.6267172105959182,0.5086392930671126,0.5107652415685013,0.4892309512635238,0.6462367684537795,0.5227080752008668,0.5930137965855131,0.5821934457875632,0.5813121207314799,0.6994420979771755,0.793544421837947,0.8279417851941686,0.7585570132451023,0.6661246337120977,0.9235204161975129,2.4561853445119333,1.139233477722766,2.1419296018499656,2.2976476402921793,1.692807758430282,1.3638605472736423,0.975071241740016,1.0319489431438795,1.0327193688812593,0.8367247994069881,0.8891437781434887,0.6945989682352527,0.6130647464485803,0.4761267917762885,0.47144423482506004,0.6657046563696409,0.5730137339511799,0.6480866539167612,0.7607102837487024,0.7115545433377738,0.8654259691818806,0.8946934052616585,0.836601952110866,0.9792894719679266,1.2352912421105762,1.0348395700756547,1.1438659908817277,0.9674450142912328,1.188999707770714,1.1769076338764741,0.9764264119316782,0.8970032378260981,0.9694148438739375,1.2719035972367938,1.0025167433005433,1.2675598081668964,0.7901947314056136,0.7664339930437363,0.7407174530915941,0.7790200461303294,0.8969908914881921,0.8254044091139308,0.8305391634743902,1.2031498316849176,1.3686419373172236,1.1078766655936452,1.2407311674988883,1.5776928532879713,1.4935124244149711,1.4229805379127975,1.0413358993969608,0.6801870378892053,0.6516464138926913,0.6104736597901272,0.853677920042802,0.8845636358712585,1.1392473642707062,0.9244438326321397,0.7985573414925272,1.0255948761501283,0.9095030805216322,0.8027428166129231,1.1716305116705241,1.3786554773293116,1.1371836679896081,1.134407237640841,1.4659367212578966,1.607497829134462,1.2597105633689858,1.2438779739843882,0.9793442083660782,0.8611684849733874,0.786566342355585,0.7010455649099931,0.7328201201867127,0.6836335976007354,0.6677123476679535,0.8089686297138974,0.8677766055327156,0.8961224874210587,1.0391410454972332,1.441845620499581,1.2582636658064257,1.3107671600002957,1.4584245484776148,1.6189775687247403,1.5936830811059641,1.4447794014121977,1.6840168132663251,1.841396307604732,1.5449211382849877,1.3234682772262656,1.0864094627032248,0.8436109315952519,1.2058447139032467,1.3016627780232541,1.6267779288052877,1.8157135503591464,1.1960453947355685,0.8600043734421239,0.6948582436790159,0.5426559566317022,0.8169042654877394,1.0891279486471104,0.8681741358283216,1.9882410202108876,0.9320047453171821,0.672787195721413,0.9927875241517917,1.2555022255607837,0.6093029189117187,0.7852979925824983,1.0759845566923414,2.5646471178699732,3.603877491802784,3.6417509455134165],[0.8505092883282727,0.8831394197250771,1.1140615225478814,0.9396340337417294,0.890141743565887,0.7367332403054748,0.5960669565099592,0.5672849962943823,0.5122349981034561,0.44079931393309857,0.4071531494758466,0.46602557623759905,0.4393509930950981,0.40733356594507836,0.4367570961986675,0.4253983738986916,0.48767092294976633,0.50974823691091,0.5910931767316211,0.5494562943478081,0.643270448725001,0.6257503430478252,0.8589864241029819,1.0373971032624774,0.8546137555026735,0.7303832314135635,0.6633216728017636,0.5691740640609884,0.5088121386945493,0.48443432745519155,0.5059670163762027,0.4534257435743522,0.5393717996503133,0.5297920211733148,0.4759699789600211,0.5006168990196919,0.48543568804271947,0.5982384692969785,0.6088137744295938,0.6501657679897609,0.7557043620851815,0.7065251824732379,0.7085675136766969,0.8591058928249937,1.0755299255311677,1.4074574268412317,1.4684097576810948,1.0824774501739094,1.80104740439691,2.1049868729840373,1.219337132012366,1.6670621533307501,0.8842573025986455,0.9187810620437119,1.0678392107092773,0.7627672546070607,0.778695693890815,0.7276779453252445,0.7412752254112157,1.199550270591921,0.7697076846392338,0.7244125807391032,0.7479297881143279,0.8454356417239145,0.7399275751866811,0.6598673196527853,0.711396278352719,0.5585234895916328,0.7702877290661015,0.6784790195419476,0.8258752597691074,1.0473311878004719,0.827951152797543,0.941208880353756,0.6828481140556893,1.2769477310900281,0.5949101572327774,0.5740380206526935,0.5225119953870374,0.5577935498793967,0.6004256232907822,0.6295938919198841,0.8877409274048546,0.7182668566161372,0.8027210834733888,0.561285636299847,0.573724331629942,0.5386413609763719,0.5185752762022071,0.5747076547209536,0.5658647262052736,0.8076580832997935,0.6952801624187855,0.5757648081279692,0.5250038117449676,0.6619145927107557,0.5990248167374476,0.5096727162158956,0.4862987070827729,0.7152357150458833,0.49604456961456905,0.6103070095996279,0.5000678122442468,0.6375814271262604,0.7114379223143451,0.7478453059903014,0.8495062159751477,0.7637177327411911,0.7601893195242305,0.7726600567610256,0.6295251527196516,0.606189068542597,0.5440050389273775,0.566027697575016,0.4923949411874524,0.5737552582170232,0.5934149939913612,0.6713623105084904,0.83688798861426,0.5692972693529718,0.5802268597304083,0.5462338380078907,0.5785907352136863,0.5182672769560914,0.5505647142453899,0.6045864530817037,0.6508243225819784,0.6972222581423956,0.7150251045887633,0.7142297630388724,0.824491233606285,0.8341860090483216,0.8024573828780264,0.7178336808080203,0.7070755796476335,0.7256844580558725,1.0042059862065058,0.7699687114057714,0.7890862826405132,0.691808746474222,0.8817810968565754,1.0084190902803154,0.7844092593990262,0.6843706351246044,0.6510998605165598,0.5847268181576555,0.5508911989763884,0.5194865548753133,0.5086175858000289,0.5380962880248747,0.5869807187670398,0.6601091301572413,0.8670472023002547,1.5845360627070626,1.067555292427307,0.6627708907660685,0.5407227792825056,0.5513736817139493,0.48896585478167576,0.5629989579934938,0.5689288100067638,0.5327014834651861,0.5691337685362949,0.5687728732944259,0.6787747658366502,0.7577885712703835,0.938557501080976,1.3809097711181235,1.686815956306245,1.512649748046524,1.4086812755119227,0.8459216253477729,0.7091527397190723,0.6558330371799104,0.5485361254764208,0.6203870973782484,0.546044173058314,0.7438750085001701,0.5607933142400019,0.723433203044114,0.6522027865230967,0.6579414361457371,0.7665936095906296,0.8281342319351275,0.850630424010672,0.7694684971538269,0.7006257169884302,0.9800082129677035,2.4989892261353766,1.2395368090621166,2.0136819563292128,2.1061866986799846,1.6379857099090835,1.3712693117109591,1.0782550042084977,1.1928030591978795,1.1678433876100809,1.0903351993856216,1.1722213105023063,0.9706635032652107,1.029219635237361,0.8984412261007406,0.8774623274766735,1.1046121909608153,1.0716620697639068,1.0921657027732958,1.2036512504100922,1.2129290347229345,1.316492921969502,1.345712147283551,1.3326458011788984,1.4783055308925437,1.6693146075902656,1.4768218647683673,1.6247717505625214,1.4516350029903213,1.704932513677755,1.6350519867006195,1.4573221199241932,1.4458141395213449,1.4798225463231216,1.7136988410468807,1.4316146638302705,1.562828570066848,1.2441211155791467,1.2572830479311459,1.2313856087942276,1.257472613285552,1.3841534402163722,1.2839911777958295,1.1776692011518715,1.4852496783595566,1.6617794172300755,1.3954562052923807,1.4611921602653835,1.9160726430424946,1.7762866388351106,1.6969654490196582,1.3384551460519858,0.9914371117287601,1.0143822811801537,0.9866897106261299,1.0447784305508743,1.1405702676544573,1.2520365463465633,1.117472252075546,1.1769662487417725,1.2899401244369504,1.1921448580591518,1.1720683417233566,1.494099245259674,1.6641057249756555,1.489813732515417,1.533967037886712,1.8327792201971924,1.9714774762669542,1.6858403725832254,1.6968398100849085,1.470771984659508,1.322451180076913,1.2233798896946828,1.184943882162399,1.2823591461770798,1.2058055548421105,1.157823823245676,1.3076786920454875,1.3504701914375117,1.3239940898073306,1.4740556823277269,1.8347400207921587,1.637114574216569,1.650913144310832,1.8206368217229298,1.9883578879658703,1.9436345567375553,1.7936714411069488,2.029324878248548,2.1772621396073197,1.9633475737869217,1.7091613082147796,1.5309894607817196,1.3622823863783133,1.5862572004848343,1.6559364534672036,1.9338885816796163,2.06397372921117,1.5369228306556733,1.1718038316553312,1.0010465198081067,0.8906801163455009,1.0961000109555525,1.1745584872319197,0.9796463973672114,1.8220333308248307,1.179240433275766,0.9448984939417304,1.1401656627943668,1.3489604436368015,0.916546361467706,1.1390585999426297,1.1732159178791963,2.5219973542496747,3.561422857246269,3.6025620865662207],[0.5244836916239988,0.5446687353197487,0.7444546060782319,0.6233561456249648,0.6008369498105566,0.44696338326326124,0.36974277074597384,0.3910991241846586,0.38677847661267206,0.32629056346884977,0.35726403996902334,0.4084620776507937,0.3729987755595406,0.3757262641821238,0.4213169236787835,0.39063405119598904,0.44632388381770893,0.46824306985048225,0.5654824273012106,0.5193533389205163,0.6319252343753832,0.6369239617965313,0.8095510811881544,0.9678527065798199,0.8233766745576372,0.6898812496454576,0.6512820150731371,0.540082596001382,0.4709469703309455,0.434983051613605,0.47339153515844556,0.39777871350756505,0.46943806055020726,0.46148231394965006,0.42560084523836605,0.4514389522320744,0.44345631821153453,0.5700444303267506,0.5748384448659846,0.6408821232977903,0.7824008548749672,0.6587228347226922,0.6665062586190125,0.8068595163050917,1.0575497993449754,1.4128438851130036,1.452355610972928,1.046971802625361,1.7703568639933691,2.114728463910973,1.155579474426701,1.6807170951000205,0.8989494396741052,0.9030571527570963,1.067675511388175,0.7480144988632104,0.7503920090687534,0.690345930544272,0.7083629579668808,1.165389041276746,0.7590171106296906,0.7317573161476758,0.7170439689887096,0.7944760818769738,0.685727803881037,0.6672932702251779,0.7007286516301681,0.4903649092770581,0.6723574563822375,0.6363246467087657,0.7759977785096537,1.0137122050518137,0.7709661199830073,0.8580484459742543,0.6338146969344906,1.232254803245569,0.5482737311284519,0.5129352125980063,0.48506618867397494,0.5482091237415972,0.5420326210420245,0.5998115323577834,0.7877766970336154,0.630452910441983,0.6848753816144262,0.4982244599282439,0.544805816467763,0.5151369056581503,0.4925238317327344,0.5241062700072526,0.47741242220528585,0.7367779942615987,0.6334290932431199,0.5115628770783979,0.48456949130471566,0.6058715155512049,0.5807899581176115,0.4644365345997331,0.4139384009078019,0.6189741344841194,0.3989844345463787,0.4961939798090871,0.38343594780740825,0.5178117280998615,0.6261900463548504,0.5746652330712089,0.654305775675552,0.5640767574084565,0.5461855897714034,0.626667569029134,0.4335435051802124,0.4106312238278921,0.3559474020481971,0.41870246020554036,0.40424739057310405,0.5185849740713926,0.5700734605773993,0.6460788575235187,0.7776482468548265,0.52068499201868,0.5299406191564537,0.500330993831209,0.5257980175541199,0.4269395389126195,0.3986004698263631,0.4600523906081693,0.4260432019052694,0.46964769311033694,0.4670972032906317,0.4873149323269419,0.6300677083441732,0.6239851706341805,0.704213573354376,0.5248843817124839,0.6092239671083904,0.5985275470578938,0.8432996112769766,0.7229149797490848,0.7408305021554706,0.5824895096159209,0.8643964900266856,0.9933560676376376,0.7611102453556962,0.6694872443552705,0.6347541807727282,0.5435263719713059,0.505925963829882,0.41625740747514745,0.3821419583591492,0.4300533001509718,0.45271051547924973,0.5096912784807217,0.6907010433053516,1.4311900658714785,0.9363317605657383,0.5163201774244139,0.41345975150919667,0.41134053035174944,0.37001178570679705,0.4326140948821287,0.47694440209550015,0.4715121720525051,0.5155620331343935,0.5137212909304455,0.6205749028502909,0.7229071258986582,0.8630499362806823,1.2985305493424903,1.5931011598193148,1.4068335053290986,1.3173950194575639,0.7138147266062826,0.6162432609773348,0.5935336613143051,0.4948973565085243,0.505503179306639,0.4739051577182651,0.636362844029322,0.5149116022436769,0.5965571996837119,0.5855188426889033,0.5583678525971932,0.6994527812578316,0.8068783886420096,0.8486381352049525,0.7587864072824708,0.6912388127671764,1.0033757740113913,2.412242847328083,1.1453718904746335,2.118146741374387,2.163815320019759,1.7066548384734328,1.4230013533903276,1.0546104867623671,1.1213206017652777,1.0826561224243498,0.8773176288710448,0.9153304062338218,0.7024942207565533,0.6698258365807837,0.5683603426190487,0.529185644861345,0.7179419313415739,0.6956668414627442,0.8060065143898641,0.8206120253666792,0.8341471138382658,1.0684375446490955,1.1470466695616752,1.0546604985424708,1.2424472685482253,1.5535845632971317,1.3167319836924005,1.397331107195894,1.1094253430343173,1.3812254763983027,1.2185294330542762,1.0544308088242893,1.0477294441516507,1.0722818802141236,1.3100013107102024,1.1040195333092835,1.3858708558822086,0.9425441209317512,0.9166641792395326,0.866596000047221,0.9061226799203881,1.0282680126346666,0.9266963049785054,0.9067933209659018,1.273992233329493,1.4310952273877564,1.1711308667941485,1.2811973518192095,1.68240279936581,1.5547471678389775,1.515239067538865,1.0881658332054982,0.7318870701628428,0.7340596336788919,0.6846355183568632,0.8886784782372713,0.916087226084415,1.1210311505994341,1.007120404264099,0.8523659386382997,1.0093026396597058,0.9340861778501166,0.9169793017709001,1.3013576049374018,1.5119851740223489,1.3276619745063574,1.3296047161530526,1.6619794417078042,1.8685267549008775,1.5143906952260573,1.4772195218368687,1.1861709224104757,1.0384278104439169,0.9389818343361895,0.8397587996793184,0.9142817199510265,0.8423337579659371,0.7833596607626592,0.9264721079485275,0.9623069113731473,0.9635070177288874,1.1428716200764752,1.5212376477123497,1.3057806175176947,1.3731743339499447,1.542046786965153,1.6902257327672938,1.6471295839236524,1.4810024596075728,1.7388748600766366,1.8511356990613488,1.5788767890075908,1.3249812146309494,1.1107684237794662,0.9559871523124517,1.160322596569472,1.2690193271271022,1.6209514976996986,1.7860645056357853,1.186893148383459,0.801843373123033,0.6941088494268215,0.5599142514108005,0.9832490335651863,0.9403609117391986,0.7027258814440189,1.7203976245235963,0.8772941765933984,0.8091462600245457,0.7364276356664019,1.1583359578435368,0.5781200776248675,0.8067125748069762,0.9690565351999294,2.130512757569669,3.1063518033150963,3.1660720799774724],[0.6464458103337325,0.6184481388691822,0.7490391717287118,0.5880347159142593,0.6392613813085584,0.4367705216295456,0.4370559622645529,0.4759508984479104,0.4859867509154403,0.4892916920962281,0.5131469909366679,0.5387484753748398,0.5542325056250168,0.5669412418744971,0.6066886571704121,0.5799576048640473,0.6932782858479372,0.7171896284802999,0.8364298001190736,0.8185480151858261,0.8743790384269986,0.8953623013986618,1.0624180658146054,1.1980790686149236,1.0850319698529851,0.9641147290685589,0.9228874327848299,0.784366962803097,0.7209563899899784,0.6689405637944571,0.641148177002241,0.5740851460352472,0.6242292143374243,0.6752356758229856,0.6393514367290378,0.708296807096111,0.6696066387885365,0.8375392232172467,0.8394524434730405,0.8805869355190328,1.0226873786446584,0.9516197366513602,0.956583105193912,1.1354745236915516,1.246893726065852,1.59968381304237,1.6811831908736148,1.2670999567298562,2.015819153343704,2.4246427208755614,1.4073604844031125,1.8743760435391095,1.0771127235145765,1.0942308681929076,1.2506904966164152,1.005309782154111,1.0082144426301853,0.9455181628382123,0.9298052384142727,1.441329428867829,1.002199049087859,0.9459221296977524,0.8999846645702962,1.0362357811145326,0.9634690650909284,0.8993100991279633,0.9410742223422289,0.7773782212214807,0.9360469520023674,0.8669009177705691,1.002320682596516,1.1750457642732597,0.9600126395746131,1.0909116149693023,0.8480734537387405,1.3015652720674553,0.797270368452798,0.7455883853095362,0.7379227079427879,0.7695703862380902,0.7832067953342066,0.8466542320784608,0.9648785867639926,0.929886298892286,1.0022079911063138,0.7720300484072452,0.803198536250003,0.7523477825690564,0.7442729058745571,0.7127749295347633,0.7236566711632832,0.9131511074062172,0.8020589826340346,0.6364902541759342,0.6093253343736129,0.6935736897096526,0.6926310510390407,0.5942218614319333,0.5432269303519793,0.6689384336758375,0.5270234721933611,0.6059929369765609,0.5534969249550785,0.6296561833015273,0.8161463358845095,0.7003967958983146,0.7352762601456826,0.6890445000093393,0.648928591595982,0.7243440104752393,0.5589639202726674,0.5577171454363086,0.48718982374331987,0.6075648582684873,0.6226277122438928,0.7278784552945834,0.7677219939645225,0.869071353774552,1.0375407624851065,0.7889451004565546,0.8133087954434028,0.736387929221757,0.7611990697845992,0.6521101940032558,0.5759198172244875,0.6395456914148322,0.5192623322878531,0.6235494159001479,0.6160442695265513,0.6904227964446958,0.7537151234306954,0.7489279069287921,0.888591899576622,0.7497864965998463,0.8323745186259802,0.8746734581889395,1.0130783642771515,0.9214507722804294,0.8873780820839288,0.8463636746101261,1.039391978492307,1.202440278586896,0.9717506784711406,0.8676473735605537,0.8504561297921712,0.7795611090341176,0.732229328215483,0.6383779315302354,0.5778223623082773,0.579030294249457,0.5398617826009441,0.5432590997411927,0.676727207390822,1.38241875534167,0.9441369173776604,0.5620754911169341,0.5168498573123814,0.5204564270659732,0.5459412366459496,0.6147098192341476,0.6798108096240014,0.7161140114224541,0.787447068453192,0.8098981083100902,0.9319106175276496,0.9627076291832384,1.1939065495477474,1.6183812939630051,1.8832508583511554,1.6588895817671843,1.5821443550315628,0.9822472260393231,0.9090897073548813,0.8092762868949189,0.7251702601422267,0.6871489060367878,0.678407932473704,0.7801221866576963,0.7285892568670308,0.7409109376579751,0.8601444694638176,0.7389259579669668,0.8691134840088813,0.9750801358631627,1.0181412737833277,1.0063389182623135,0.9576556795350656,1.3371300168110851,2.7558237742666463,1.389526901370229,2.4169148509822365,2.4108130022024876,1.9414010153428138,1.6186744180150245,1.2583078687151672,1.3098491347511814,1.1811864894981552,0.9934393100219658,0.9832527484023564,0.7542943874414683,0.7303578960375167,0.6273090381173893,0.5881997507274275,0.7433109185155511,0.7408155810910274,0.8629805659972825,0.8184453152262148,0.8702805100983535,1.1063264486041193,1.2345674535117381,1.136423131876162,1.3352673555676373,1.6412801681425233,1.429864277552336,1.5395028121874055,1.1727311598723433,1.4284237474549906,1.2145450424355702,1.0687486229068708,1.088618708580767,1.1441398161365899,1.3383465908326324,1.2287981719548886,1.3957918248126253,0.9957476520568678,0.9520851014743861,0.8831037069068731,1.0121485774048269,1.1227603345915806,1.003546620509408,1.041284150617744,1.4432653802248918,1.5602195164425983,1.2758128095999919,1.3474310640294935,1.8254595701481617,1.6467827728535378,1.5629171344911899,1.1357497850527352,0.8372388150339063,0.8498396723235688,0.7776789546591766,0.940505437194341,0.8826192136370106,1.110122543260508,1.044500992503927,0.8462721897780183,0.9565852725592676,0.9344606903164961,0.9279952202424683,1.2859967724884283,1.5004793125074825,1.3427438845725381,1.3387783995149312,1.664948396004327,1.893546019333507,1.5530292592353276,1.5080480633271203,1.2241511387284802,1.0598140155219888,0.9543784024396934,0.8822934249118337,0.9489577700501716,0.8862414918876925,0.844582795762877,0.982890319662603,0.998761566336282,1.0038256520081215,1.2116194521824721,1.5631416363016568,1.3129855035464801,1.4207963682445206,1.6297018528616676,1.7636623601785166,1.6589661816715187,1.4412864901511886,1.7536224389567483,1.789180723141877,1.5289373996303222,1.2491654990933296,1.0564631690282238,0.994548835337476,1.0822214271422501,1.1087030332119727,1.4786341204252837,1.6361409282885466,1.1162075571835068,0.7499614269828653,0.7312249029088564,0.678125287260642,1.1394544691878044,0.8755896083657999,0.67721471835892,1.6601395241691257,0.871402292491251,0.9119293758333629,0.7268599085047949,1.2016018349126503,0.5805027675634016,0.8367268984007042,0.9111023781137344,1.9943799446956902,2.9342071792288964,3.080584221392646],[0.6383952889586498,0.6625212482202522,0.7433584413451676,0.5910969223838513,0.5900911846652057,0.4906341504482665,0.4440647560555412,0.47211576824979995,0.4464756719769577,0.35664308383985505,0.37789477246128905,0.45928113629159173,0.36683814566305717,0.35883109442821975,0.4094419018558421,0.3826049619877559,0.4019466295981833,0.40833393206600843,0.5116081821257764,0.4761300895498507,0.5733499658625486,0.594664584470509,0.8311319055710928,0.9384694012626745,0.8873669482996147,0.6631846402878814,0.6058893746431018,0.46071554343558785,0.3961964811817715,0.3918233064215489,0.4348107322553608,0.4009223805763764,0.4303638437050976,0.41153547629438386,0.39899076372099557,0.40893061916417256,0.4037671714001481,0.5068646798483107,0.5333108960487104,0.654470693292674,0.7569338992743777,0.6059970183280884,0.6203559623445137,0.8103380193482101,1.009192698837337,1.4197950969741255,1.5168409413217152,1.0419768881897722,1.7714230368252157,2.279275061671258,1.1318041053230143,1.758898028175766,0.8563279341148876,0.848194950017434,1.0116070073253514,0.7310113280681257,0.7331506039197083,0.6466094693678686,0.6573214222969789,1.2267649831490566,0.7640506948694077,0.6601373891985345,0.6562552076124444,0.7324334596521035,0.6819373736617957,0.6292126278989757,0.6754255939231476,0.45503599337118317,0.6476562229362837,0.6345336197429295,0.7970636494038733,1.0385318830207693,0.7750194496034117,0.8703009173870617,0.6001918081107779,1.1544559144347093,0.49216805120562934,0.4474351287857271,0.42582527794617414,0.5069042206674134,0.5010077281037635,0.5776960406293742,0.7140277818925104,0.7014721977165045,0.7116202911617605,0.4688962187721419,0.5016163672362973,0.4849468624410874,0.4346180843137212,0.4867882993926741,0.4369315611145421,0.7340887989637245,0.6086264404397757,0.492083385187723,0.474900595588645,0.5959616262474178,0.598906975593718,0.4656742608948995,0.4303478617369485,0.6240851743588306,0.44927850769282407,0.5652492081619059,0.43792476127838553,0.5089285319743598,0.725279769950747,0.576925734896184,0.6592641833404312,0.6650185812581505,0.6431333691004764,0.7374860656273398,0.5376041044234645,0.4712314228026875,0.41878746370566877,0.4160366612605713,0.3722334866279598,0.4187624940028696,0.46366711751446554,0.5355502656236002,0.6942592507469342,0.45443043417862505,0.47735439711071703,0.41895979983429893,0.43196619062078967,0.34522928211161613,0.3604773598126225,0.4332340230765331,0.533746710047306,0.5186381668823603,0.5242041845892624,0.5650215679251199,0.6808423643617285,0.6997293996956264,0.8078676438981589,0.6289712201617111,0.6730162867773986,0.6834017693550586,0.888729212561186,0.7374057152723653,0.6484835245791774,0.5702088456954947,0.7857044806982333,0.9589277222668408,0.6978954970458205,0.6045542571387671,0.5816467440580622,0.47361819564204266,0.4503574600340526,0.373737893362276,0.3884719410169314,0.4481272458461596,0.5168814704669625,0.5364862126161376,0.7139913965553102,1.3530717332862099,0.9327285472606487,0.5470411069739924,0.4466552484489413,0.4707642725040062,0.41853444772242004,0.4690161827151132,0.47002194096257455,0.44310868016601884,0.4945343484490973,0.5121179725600237,0.6408865210927017,0.7500032781270578,0.9886610327936575,1.444441000370591,1.771406488927274,1.4632868363978409,1.4115879891581988,0.7733967493449398,0.6846075891102287,0.5881338831007042,0.491937087993128,0.49158016558375356,0.47293825792030714,0.5702015072207242,0.5210926296600156,0.5657329315287581,0.6055883601018209,0.570247199384974,0.7521765347844056,0.8808554538318577,0.9149914320062505,0.7865554833237278,0.7339366393822204,1.1189475787817027,2.4317165207974205,1.1957070611778209,2.194191405913747,2.1795031127196225,1.8041664959815942,1.5182642205240375,1.2021480376852993,1.312347561279315,1.1337149859617928,0.9927082411074427,0.9793158782919041,0.7340195698576384,0.7400149660041092,0.6488055372777234,0.5998297566792101,0.7409914756064351,0.7764381330511082,0.946404848885008,0.8300974996335958,0.921932395097892,1.2096798946500367,1.3904805313586395,1.2741450433066788,1.486102156994121,1.8311778238657528,1.6326064616891236,1.7214760171880261,1.2742831990660521,1.53738669218751,1.2153286533112033,1.0824398250785598,1.134744400554044,1.1729160620063528,1.3705134028637151,1.2713931185075569,1.402702936007833,1.0300281515199863,0.9818151816929913,0.9075868742733,1.076681852780688,1.1779899970864882,1.0446252483431429,1.0976102673113148,1.533858859468886,1.6384757206452583,1.3347640788901198,1.382522232196105,1.9161146120808379,1.7026330685047872,1.6027781319111738,1.1574956219599775,0.8358042339506336,0.8584392051930911,0.7840316367919956,0.923173344310562,0.909879956304342,1.0956021241122909,1.0643866569908391,0.8850921193790707,0.9681609581571013,0.963301607705571,0.9936664485939884,1.3585461009969657,1.5797281330715665,1.4497746756109062,1.4345906183563872,1.7674214841475635,2.038852463279931,1.687576844134255,1.6212055773219212,1.3179943316869795,1.1404150964014599,1.0135319304938433,0.9151650612831709,1.0024268160181946,0.9372378239070444,0.8734673597678283,1.0093044481237163,1.0202314851249246,1.013771089223911,1.242173362366764,1.5879431903918104,1.3169551317349184,1.4365357803825833,1.6735240719881241,1.8055164042902043,1.679193300280156,1.4376051995751875,1.7778281285570505,1.7731374934454829,1.5008640660585715,1.217228837417937,1.0446057789787033,1.0981660086241574,1.0696306711100343,1.0678666601865017,1.4435199667845702,1.604532428116563,1.1006903539694048,0.728102840141982,0.6996055117889707,0.6253082866276177,1.2266403375449588,0.8303949031203216,0.6847867544571032,1.568841019766892,0.900764756875278,1.0872415547818612,0.6767989360368405,1.1875714762540137,0.5608106315859056,0.7934893993674708,0.8822039120058409,1.6054106362601406,2.549876768907529,2.885435734890849],[0.468995354538034,0.5085793768625142,0.7028347093519154,0.5082418925750856,0.549590129479264,0.37936955021469704,0.3674115787471125,0.37170757437300656,0.3709893325756307,0.3366791947104059,0.35239381047895035,0.4156293745775473,0.3702144795340161,0.368699247197715,0.41630483224448056,0.39759656231789225,0.42533541285316,0.4577525700510363,0.5674401792158709,0.5293280866048199,0.6212379167963499,0.665064425068162,0.8780127874981418,0.9686160761796999,0.9446495146739936,0.7050233441673651,0.6614458760125272,0.533379435953064,0.46942105107590026,0.43372498543337257,0.453692751721362,0.40951414398426944,0.4177368886366334,0.41952176198779345,0.4338249114054253,0.4617119038417593,0.45879751594562473,0.5848859975180564,0.6065148030695342,0.7185787653993936,0.7874950259877939,0.6632868766976879,0.6855772518873905,0.8332234617645644,1.0464429411778757,1.453416585413421,1.556331020619383,1.0804660929252208,1.7716580545330838,2.3047924543847955,1.1533389957303288,1.7692305622724454,0.9021382643490745,0.8937166135656267,1.0684010145411562,0.7884069591724708,0.7786991682735722,0.7108677254498829,0.716872763741657,1.2475733911836875,0.8037249033006064,0.7012259769784307,0.6992371328741004,0.7502204333758429,0.712194108336986,0.6730931968823938,0.6972443144479105,0.4988053015431858,0.646527421210394,0.6344731359203425,0.8011080347168966,1.0402444494190402,0.7513257652771598,0.8577728191297188,0.6248586946039176,1.092210190518157,0.5374557148628234,0.4893015237113663,0.4773387845043522,0.5659169049726949,0.5830776472047648,0.6486280458462869,0.7517346671698456,0.7531528104353579,0.7396493191761401,0.5292486376542923,0.5771519103038544,0.5249912023912588,0.48877460647926413,0.5144884870243354,0.47372304513020813,0.7318987876468788,0.6065194842864459,0.4846645706328254,0.4715976328425993,0.5747862673422318,0.5880388695090507,0.4440759291227098,0.3846441784353876,0.5357335527126866,0.4098886722223956,0.4931944897043528,0.4237759352649184,0.479813724901756,0.7383797536473123,0.5852456186703162,0.6189609355018171,0.6470396980413426,0.5818741279539579,0.6307132340832781,0.45486631653666537,0.4372572592952817,0.3584980061615749,0.4128820751836628,0.3877977894231355,0.45638128207097345,0.5345720910543149,0.5893644242602107,0.715980367474911,0.49382356868466004,0.49861508814103334,0.45903876633519236,0.4760401505322571,0.3678839812361463,0.3440535156875961,0.4238726176043094,0.44588898260544474,0.48373454785978365,0.4899451561880951,0.5421863938034849,0.6713503300704246,0.6870844624698691,0.8059474357940258,0.6201590388540621,0.6788152156191126,0.6843521713629377,0.8579929408169357,0.7571895618601542,0.6722747186403307,0.6026013262606977,0.8079041568634209,0.9612118525933568,0.7349770702843308,0.6598250413329525,0.6386970358798523,0.5412332556768921,0.5108818687640786,0.4066542864075081,0.37996499081063767,0.3977557022773447,0.42366696861108677,0.44541746016375955,0.6170949604145675,1.2201771684615654,0.8437482993018192,0.43663742816588663,0.3744601382167206,0.38503296783599805,0.39559942270401943,0.44828668751416006,0.49189948956030577,0.4815590090007832,0.5374477328169507,0.5485034747725446,0.6612171487713918,0.7652251011956308,0.9949889022244868,1.4515939429816633,1.7662935253332408,1.4647321804532243,1.4026641395856008,0.7740670534761702,0.685301610014427,0.6211165717540674,0.5295732830922704,0.5097063948314847,0.49072360980790974,0.5890299840971928,0.557572526102376,0.6032050146676858,0.6407443971333366,0.5947695448218223,0.7685215558450874,0.8961577465602955,0.9374408140151448,0.8150957242243294,0.7676962638356791,1.1359131161913163,2.403564213436173,1.193995371492327,2.184753087433216,2.1911272271596562,1.809177025886004,1.5196105215634703,1.1969068073468803,1.2906964009751163,1.1215616314425016,0.9736384304356308,0.9567768022342548,0.7297688502870828,0.7195378491363277,0.5994227562768811,0.5565082054341091,0.7155895176571685,0.7375982723051729,0.8972106214233921,0.8384331985306382,0.895948131573456,1.1320027986337518,1.3521526815412672,1.261346635364745,1.4110014880708492,1.7292895349387662,1.6006485075946288,1.6460271419968808,1.2654145506160273,1.4626317667861517,1.1590080497763358,1.0372810156020507,1.0825401597228146,1.0911064925278666,1.2897334758741847,1.1775620523118537,1.3777111117489116,1.0334340467092007,0.9495049800750769,0.854895938166768,1.0413685252357752,1.135576419186127,1.0049476677797282,1.0480402967392108,1.4586034929068243,1.5382153703358932,1.2727682019163575,1.3563613152853573,1.8183325829530628,1.6342166353409302,1.5736379062293027,1.1214189744712346,0.8244704606033632,0.8398310340913814,0.7430416655075573,0.8718588940689413,0.8165768412554342,1.0064301868835706,0.9692956243120116,0.7980485496606906,0.8058797263815114,0.8215433967471675,0.8784122613346198,1.1940071968999386,1.405154060376157,1.319938729143352,1.2914115091224503,1.5745829766179886,1.8530615993490245,1.5588061930263997,1.4694712946090813,1.20666112402522,1.0335473197974585,0.9318615636344574,0.862573005399301,0.9291079663694403,0.8885954200939166,0.8386164990448594,0.9632253557786994,0.9734118659886412,0.9769596001416155,1.1898118063950687,1.4962143196923239,1.2458563163671859,1.3828749498078428,1.577184643561242,1.6754964610342875,1.5643359438868802,1.3222299030445432,1.6370358283813529,1.6556731371631266,1.3972237586960325,1.1745105866272072,1.0193319781680619,1.129690078871781,1.0911982688409945,0.9864694863829746,1.3290087957242633,1.5037944290005754,1.0394024342745674,0.670133136142496,0.6748394836829108,0.57271029951133,1.2566542450324696,0.7412985944074374,0.5539717012105032,1.3996807054267397,0.6942944792452206,1.109667922401896,0.5047986948596481,1.039144353606674,0.42276741609959284,0.8075122466756837,0.8479997918736101,1.5626177843985722,2.462882391454835,2.696146241733413],[0.5171559516191454,0.5347870724320939,0.7407081049029927,0.569343637188689,0.6662326858036345,0.5064153806256935,0.5202759504563342,0.5584673937121888,0.595053544271565,0.5708795694792311,0.5976816208509517,0.6201613774501038,0.5931075632602221,0.5825467042898524,0.5996328355338594,0.5828518033867961,0.6191840727749226,0.6195496186619234,0.6325225250006024,0.6326780602165332,0.6445108883561548,0.6639437601426841,0.8347879720745192,0.9320105024454095,0.8892485102817982,0.7188912211193329,0.6915189103355007,0.6154865217922992,0.618582761140623,0.6204565020322549,0.6021549541263899,0.5820802070317611,0.6244447030746451,0.6325444369460698,0.5973385787643751,0.6183442957176531,0.6268482911100633,0.7368384321621583,0.6747135713581548,0.7179551643729996,0.8175452788822443,0.7317558718771159,0.735341999633194,0.8845336990369589,1.0123442493365977,1.4141795794371423,1.4880496204306073,1.0692995487464223,1.8688281790753312,2.305619387412037,1.1977934618344313,1.765789033219846,0.8752738933387813,0.9064452274826262,1.11321635343877,0.8183534587702215,0.8044609710480566,0.7893125153512958,0.7762106516228405,1.282320301509205,0.8061138509912794,0.7357550929693174,0.7538431987970817,0.8283240317315477,0.7537291114001785,0.7174412775449491,0.7680897784496767,0.6167565536320064,0.7542294896934806,0.7471887218286233,0.8899479381259887,1.086259092872154,0.832534630881786,0.930052850629876,0.7058194117421591,1.127439253622141,0.6512140841376647,0.6205063471279637,0.6001561164206614,0.6381785604682747,0.7046007718092128,0.726193769265211,0.906207167984472,0.8385365588580678,0.8815868439292474,0.6631604157462015,0.6755927726904082,0.6828796148019073,0.632892657441275,0.6593274725928215,0.6235350259847292,0.8337862857570121,0.7208951835800467,0.6289738427845918,0.6115663910320286,0.723480006894947,0.7455369904627814,0.6639400376264935,0.6100846146825758,0.6635137165423778,0.5760460122209119,0.6475590311108501,0.5907630421788492,0.667883479854791,0.8262434471172977,0.6925261412444237,0.712228284572403,0.7011934384922007,0.6423658676748862,0.6921715351619665,0.5960195354637257,0.5360988945287425,0.5124339103572685,0.5451985823447476,0.5818107434094227,0.5930789473317762,0.6140067186810737,0.6464279422585079,0.7987010520007519,0.6121830243462254,0.6233063651207316,0.6342115250213449,0.617063859672455,0.5607465900505197,0.5520975786867286,0.5574991946349307,0.5161225452894914,0.5763730441204489,0.5739940660926529,0.6379377404798445,0.6819067758885251,0.6815069040242029,0.7919004098000094,0.6667301255500102,0.7175987529003344,0.7765130802943678,0.9194109107743316,0.7872279465605557,0.7268973079515565,0.6626461572373348,0.8228734048035482,0.9818067515241299,0.7611215088146587,0.6824622417808877,0.6679113762850671,0.642935438318747,0.6016885098289743,0.5767286168654842,0.5600826667295199,0.5960774196982888,0.6104442800192017,0.6091772542424422,0.7047820244402095,1.3618986615755173,0.943447437242019,0.603816121859445,0.5685648542803649,0.5770620216452506,0.5716264520598838,0.6028496873458552,0.6060599709850579,0.6102037867383198,0.6033039886586501,0.637600657316789,0.7166144872527367,0.7586661258607842,0.9861390297166249,1.4032151512215132,1.725024919395091,1.5157479817932595,1.4581209246473654,0.8242392268300632,0.7586407656197726,0.6925806609322724,0.6382837490214718,0.6431244369094481,0.6336271587295861,0.7516557532215841,0.6589307446019497,0.6848808616015837,0.7477792246996133,0.6882594688730068,0.7847007037736324,0.8661906763233297,0.8919422941327199,0.8288269491832841,0.7579261078235406,1.1472171877754322,2.6039669494309394,1.1991399258693003,2.2739397597799487,2.3376134854268167,1.8392780805577906,1.5179837448931235,1.1401476895896003,1.166634011679765,1.0710947095748804,0.8785160995905323,0.8942902917623807,0.7145267331921088,0.6987566924889743,0.6413448720207792,0.6075022318490348,0.7313591020501614,0.7519409589842204,0.9023214529023894,0.8606714249522845,0.879682952830215,1.103190254945362,1.2577802340234987,1.1557227869221416,1.2960199433949293,1.5919112120285397,1.4310595286542735,1.4691401415390446,1.1581670145143335,1.3787796298443078,1.1105195669191528,1.0016669314290596,1.0259356269015611,1.0238121228036834,1.2330843877433035,1.1026494686642914,1.391855708786524,0.994077831235575,0.9125342837131485,0.8492450398625055,0.9420834128019856,1.0413177257102544,0.9308687974146111,0.9422541038342083,1.2925280300548054,1.3880391262946388,1.1430139323702184,1.2474648417464385,1.628437252163958,1.4917924722578038,1.4623684633253697,1.0406365241413267,0.7653050422292539,0.7846566429749092,0.7614344120409448,0.9551596266599345,0.8784188417063652,1.0892141717746537,1.024457331219235,0.8357911828093852,0.8757031779770575,0.8547766460542449,0.9137194880720555,1.213784648415701,1.4161209148197702,1.2959183583518583,1.2679758507153716,1.543353880724146,1.7675931432654983,1.4801810745368413,1.409677442371598,1.1696332847809447,1.0181953211628465,0.9493909358113378,0.8722465293303463,0.8995549179017028,0.8707780657078291,0.8208012879488996,0.9104379752926977,0.9298549487381018,0.9332354033768689,1.0953071919271662,1.4073168055463183,1.1826485778379932,1.2840984878643948,1.4358463814443687,1.55707336611656,1.463658812916081,1.2519558942650613,1.5453594990113941,1.6227332867432127,1.3602194026353582,1.1483275719129642,1.0072294413439202,1.0220098964479316,1.053747969867743,1.0140445582519522,1.3205876222456707,1.4954487347489975,1.0211864362191079,0.7049590725681791,0.6789706836013224,0.6607337817007571,1.2449612816970304,0.8330601150146013,0.6420076982380459,1.5575147573795007,0.7277601915720038,1.0353269205898457,0.6718298265383305,1.1058316871920373,0.6016914771855638,0.9271395026291042,1.0472614205955966,1.9835272750969817,2.891489041517166,2.9947181096121542],[0.4717132790680588,0.5025088810531937,0.6546372942224444,0.48230640572125355,0.5430691491767665,0.3099888916387787,0.2577938450384351,0.28583171773881255,0.3188112619926429,0.259866558540296,0.2839625919779138,0.355179920867115,0.3032521248931179,0.29442392366575587,0.35713894016714637,0.3220611139883218,0.3595188992411321,0.3858518989419802,0.47819315315587974,0.4274338843937444,0.5072278795513894,0.5343547689669998,0.7636310372318902,0.8456599831879793,0.8445236369154342,0.6009769399745778,0.5582059375566486,0.43749317190289305,0.3933233615623619,0.3546014554949745,0.39093512934470875,0.3430421942357922,0.358020320150233,0.3699495741603055,0.36063061740643054,0.38265495010418327,0.3875572658548197,0.5118895537904319,0.5048334194008565,0.5963974336490357,0.703535512535686,0.5736612854142655,0.5817125898452609,0.7292079845439006,0.9446821449350608,1.3817875926372836,1.4341766544748498,1.0156088763330342,1.8336592784381174,2.2737304441166137,1.0959853507939044,1.7593857021227866,0.8229631775413608,0.8173224532004646,1.0113844191981896,0.6847393845881677,0.6784843723134208,0.6206438584040331,0.6251633627526583,1.1392826698692102,0.6786404475175043,0.6090130254515316,0.6201458630507343,0.6654901202329218,0.6072239176787123,0.5796809052468992,0.620279139889155,0.4085184979461907,0.5828284637305787,0.5636072490427056,0.7694928803383011,0.9967908668816747,0.6880843888634556,0.780232080456037,0.5495884693503017,1.0070342740615519,0.4410231906683857,0.4015066543381501,0.3900617106755469,0.4669786743386346,0.5031123620366552,0.5695819041191738,0.7396363196610292,0.6682087233168477,0.6893784692744472,0.448559529568922,0.4876291815210946,0.45968632930983866,0.39450639016042244,0.4598739104515345,0.3979036296518818,0.6643641842710546,0.5708828569906911,0.43109321723033756,0.4169928260869329,0.5399106547048041,0.5795079204206555,0.39696066047715545,0.3209021189315219,0.47624203910946267,0.3343120738420392,0.42016945600028666,0.34896367572718084,0.43101237493054007,0.6706404959713839,0.5282275919786872,0.5651689083418233,0.5857613523032196,0.5221308463189621,0.6029685900360259,0.41082648412093364,0.34648387230437994,0.2638436400669049,0.3310109791220203,0.3094062373841847,0.38177156023413633,0.4608756593934115,0.5053063031353102,0.6497967537389752,0.4083850940987796,0.4237632029644384,0.3846024519938742,0.4047074258633041,0.2831499126187592,0.2744348247358668,0.36064746737855685,0.3407796947865445,0.40540430987670495,0.40730964666038966,0.4856394630941944,0.559641647631549,0.5523085696842017,0.6635565919337497,0.5258587529085905,0.5805423266696214,0.6253872874384169,0.8489536597720317,0.6628378303580598,0.6104379828459336,0.5342998311304711,0.7483739788601835,0.8620312457979679,0.6444168599894442,0.558925056964065,0.5329803882901383,0.4573136742172955,0.42136409002155556,0.32661334415035714,0.3009668735948435,0.3347616768848131,0.3710431052653522,0.3925706448047526,0.5685929028251329,1.1958099673658913,0.8257212370593238,0.37515380775522783,0.2891051194683009,0.311321483908125,0.3082887631936225,0.37674953000775124,0.41721364267804273,0.40354484808047913,0.43575485640482714,0.4519290793164787,0.5631356569623565,0.6739316013455806,0.8975932323770706,1.3323578793429043,1.6632650077544944,1.4768847153562787,1.3986088132083703,0.7279246144166651,0.625901110613977,0.5347350931606373,0.45266644708381887,0.4305164949536212,0.42268703533630786,0.5467049529142137,0.48759354829730256,0.5185685082514785,0.5658538080718806,0.5187765494995551,0.6670062366934634,0.7609239430134669,0.8017023960851003,0.7051664650501477,0.649218885887624,1.0003600595682094,2.453736690733875,1.1215751726026815,2.1077588253565427,2.2336791979236637,1.7375872583622163,1.4246640996852156,1.0306196131015262,1.0665935873499246,0.9956619794783789,0.7938363436440348,0.8135121132253663,0.6220832427265022,0.6015070952318683,0.5421787188533599,0.5032334826848514,0.6466111142189962,0.6617317354464191,0.8274649412680959,0.789642791619384,0.8069139454933563,1.018853217437371,1.1908120377281592,1.0895159855302172,1.2056286747240756,1.4929658703730906,1.3809265404545825,1.3653527422802956,1.089637857275644,1.285486675339545,1.0291547085038264,0.9147865154431049,0.931997864794859,0.9131513118296875,1.1389297070824036,1.0175330520977715,1.3572992271337208,0.920221196792644,0.8178270821130793,0.756869925520843,0.8471791107194602,0.9056039271902249,0.8282954778043436,0.8395590046242847,1.1804139221867895,1.2665790074396068,1.031495922437488,1.166669544507822,1.496883648044814,1.3752131587359577,1.3584894465102773,0.9508764781354294,0.669004056442922,0.6820058899797162,0.6711901556656162,0.8926895320868338,0.8191166533442783,1.0656140419372797,0.9536748686460643,0.756772782805702,0.8238990041603479,0.7969755495068219,0.8324112720030036,1.115658030112104,1.3151989063771659,1.2118463885255844,1.1660726641900114,1.4134059494823479,1.652372434151452,1.368434741441305,1.2822738202949286,1.0637928600258826,0.9167926971870901,0.862044493793658,0.7832900565439027,0.7914440333927534,0.77556918776543,0.7242520640550328,0.8123108236121338,0.8433757990244213,0.8452197423505654,0.9889252432699944,1.2842314533399264,1.094220090602833,1.1906935483298744,1.311561465363778,1.4432141083186922,1.3665900251807401,1.1691610788534574,1.43765164635826,1.5660195773272931,1.2567732188664498,1.1033434074198925,0.9463376837796934,0.9671302270672327,1.0364063227466433,0.9546609799250568,1.2728715669620254,1.4539449717212543,0.9521656215656558,0.6514516442303977,0.5917965092426085,0.5522476052003338,1.2376343836597783,0.7630704057727176,0.5896997196378052,1.520164208183063,0.6236327494071437,1.0949509391540941,0.5803537052509955,1.0529134603868737,0.4767158473142218,0.8089885440534627,0.9302755628746889,1.8824299955069264,2.7014400256807214,2.757347716729745],[0.39849066797402755,0.42818322347870774,0.6135711896296481,0.5013855313004134,0.4839175373055809,0.3273116986443669,0.2679160344100938,0.32406876462851586,0.34337042664023537,0.2538580680591899,0.29939981470982746,0.3942661484606948,0.2827536230203682,0.2815232931942973,0.3358544476831236,0.296062330233154,0.34369477000535376,0.33775922022134913,0.40210644095752734,0.35737647806855694,0.4530540464980558,0.4533953707116745,0.6769895924184283,0.782127036661876,0.7422569066195844,0.5144045869736118,0.44796662430469497,0.3460512035190193,0.32236567154173007,0.3292828796405327,0.37201276979952286,0.34682315941557723,0.37758264959772087,0.3628313870271638,0.3456782133808799,0.33540204944314295,0.34166679747101186,0.38754903621181586,0.3728661222413079,0.42876076343490943,0.6315451999547396,0.4751326784271206,0.4640741938866409,0.6104874550100713,0.8567388749540594,1.325376156694549,1.2937846959730432,0.954232613635635,1.882274259681419,2.237244804246609,0.9824778521858192,1.7174172956565554,0.7166982225207087,0.6882339626869827,0.9192993607086706,0.541165157537729,0.5673379986640996,0.49059096401001795,0.5073497682687685,1.0078163806181366,0.6028267030207315,0.601307309961846,0.6588189340218212,0.6434406080534782,0.5380008276482314,0.5441025145872626,0.5875171391657737,0.3840702536084711,0.6085032370833953,0.548693335182204,0.7745350012200409,1.0019732156848202,0.7095411852524169,0.7796414876465524,0.5344925597017691,1.070842559297511,0.4141683749906329,0.38308427430798614,0.3513540420204802,0.3703458215100345,0.4329180185930597,0.4829215567567635,0.706467996145116,0.5524135274908412,0.6179105957276982,0.376391741429498,0.3846173785258962,0.41047241427123476,0.336446433300428,0.44287085964148665,0.38520999147762164,0.6582375963947693,0.5514009279806212,0.41581500359492146,0.4022499451341366,0.5058968230327443,0.5256000882460174,0.4044790368843081,0.3570786943827631,0.5555257614021036,0.37599362623631477,0.4715711465895826,0.3357321694521052,0.448952354461339,0.5959848852912378,0.5012764677617094,0.5766837198275562,0.4893667588332442,0.4748295727687118,0.5985167311754515,0.3637636133838465,0.29293478839022996,0.23278023083148064,0.2841743461095401,0.26115483604558004,0.329341138512318,0.38927467963708,0.4070138559172635,0.5573006681815719,0.37337350595575897,0.3768708073744852,0.34244486911474364,0.33171865201865636,0.23682813549832085,0.25506330216556855,0.29947439829140016,0.3169881373182384,0.36309377758345884,0.33564981112638653,0.42449675907270895,0.49176347120492053,0.48466704622486945,0.541885318725011,0.45171894923058387,0.4701881734746627,0.5382711130622717,0.8750795367113329,0.5311054858353644,0.5334437701226034,0.4570608838968741,0.681787408743866,0.7255678846989222,0.5408790417063205,0.4436553043843492,0.4066932728714746,0.3476498525592414,0.3241981704641521,0.28952200055599336,0.26549476739069455,0.332220167740745,0.3914745469617446,0.4447631053016023,0.6308538439088945,1.3000490585527675,0.8685670344753155,0.4468390732781182,0.34571346838832234,0.3502652913747994,0.31266014340225007,0.35967517679073613,0.3532830464659859,0.33174943867224355,0.3327892726350082,0.34804805042621384,0.4729713791205513,0.597745189683494,0.8640325111912638,1.2744887339827744,1.6406762462838023,1.4840591430848116,1.4086252617183952,0.7256074809926546,0.6179863902112356,0.43238546014729384,0.3653154866756083,0.39746074123693287,0.39659597800096286,0.5607128423466634,0.4133511485323574,0.4768338072138383,0.4665316249306179,0.42968584552692235,0.547591466396352,0.6387605064173213,0.6733987140548136,0.5894266296433947,0.4863878676260075,0.8651449817799903,2.3477438139665447,1.079334766913516,1.8870844880578816,2.017926133064848,1.5177795601709048,1.2490026961367933,0.8586439594644962,0.9118507271711815,0.9418676438528575,0.6976945698736798,0.7462210981728998,0.5705479756298686,0.5203669790827166,0.4693129518174762,0.4208248631280989,0.5853444047980647,0.5654186547459616,0.7044318399431626,0.6987336408210973,0.6846022519142978,0.9084165562096621,0.9862924452825901,0.8756416234845387,1.0141361317531237,1.3114601135538402,1.1229337985495917,1.1356220871783616,0.9321225223764913,1.1583053236770338,1.0531680929302243,0.8846761700144607,0.8333703654916923,0.861229958423431,1.1922361313741574,0.9390549999917946,1.3228389520764776,0.7981742303604209,0.7406177173880052,0.7152833617786041,0.7299171576642138,0.8056850055175413,0.7307720864923329,0.7327299266140754,1.0513998110383367,1.2093616360035822,0.9609433201386763,1.1011545617709906,1.3909430213718983,1.2947901550243164,1.2790092971335816,0.903172890545416,0.5721553253765491,0.5815336796573684,0.6060580193690581,0.8960696858488298,0.8816681487176153,1.1439188575147174,0.9897939056741896,0.7509855378802561,0.9212561297303856,0.8584660264638767,0.8103716611891059,1.1444952746863162,1.3482385394633083,1.1683250120774298,1.1264928928521478,1.4096189020615442,1.6055503448816348,1.2686604961246992,1.210872968352682,0.9669453691258916,0.8451043939932086,0.8041273831506122,0.7022795119184033,0.6963835995022949,0.664408658430498,0.627418498264497,0.7285579513357965,0.7792237858766538,0.7894561395302531,0.9138629844414368,1.2840983117638618,1.1215564033327685,1.15612563175196,1.2787908704025401,1.4379607471653664,1.4204895730845788,1.2807891112758814,1.468843699471124,1.6544447923721175,1.3446502622206904,1.1911687058077007,0.9849051931874749,0.7847511427739835,1.0975904863934278,1.1869982175397993,1.5023174471989527,1.707580423033329,1.0684002388948255,0.7405210494447668,0.5620927937206509,0.4866382766393782,0.9785628454313287,0.8960305293849439,0.6896365523794313,1.7354659066810578,0.7735559571307496,0.8445340334748411,0.6937284968468233,1.1683269301776498,0.5004353122505817,0.7613992310980435,0.970518528242541,2.128512577641836,2.96218361833445,2.9509497487556873],[0.35854957823945216,0.42313427635509254,0.6387682103050137,0.6105541872424511,0.4633016777622203,0.30210849514989796,0.23559517045478295,0.2813813893844032,0.33154483918049754,0.24764246617254285,0.27882834110332727,0.3641537312575867,0.27545914865191795,0.2548257232878556,0.31209851925253723,0.2840291145486889,0.32477680783575624,0.32073509127013267,0.3573474758898931,0.33242151205822884,0.4133996121663824,0.4036897153218543,0.6096297482894711,0.7399164875908922,0.6563479827555656,0.45049889440985413,0.3931876788257151,0.31007269950104593,0.3028036858954278,0.3181643478649413,0.35799774050092564,0.34456233776063716,0.35941191491228747,0.3483107491429699,0.3458163769937869,0.328376569290278,0.32232069826198984,0.35148141478075506,0.3189474071056743,0.3656074326325577,0.5898406509410357,0.4390900788548198,0.42707437791730407,0.549363416281552,0.8039284479748536,1.2737172122820533,1.1906157799052084,0.924575214459316,1.9257434324791842,2.1814435972816812,0.9442994097851327,1.6780471718351084,0.6770414600152381,0.63542282513276,0.90492728705961,0.49391812606208807,0.5259989255977713,0.48237500382271564,0.5069807231262091,0.9347458325731964,0.5638395732599552,0.6057716606095883,0.6757919403972823,0.6123785155342116,0.5038598137822375,0.5337483618728552,0.5835444029841028,0.38200529962061053,0.5872334009324829,0.5279845689373288,0.7658164107772758,0.9849310049519864,0.6914320423760316,0.7451153743876768,0.5202042511226315,1.0325675455777221,0.39946377450217996,0.37906516771585574,0.338585145898049,0.38324199710717644,0.41165804826404706,0.45628299376378756,0.6939701156791166,0.4885598786129157,0.5766348454322675,0.3478442055669166,0.3604306048914138,0.38773650614351474,0.3270792806125821,0.44729288640078396,0.3831276570502395,0.6509335825323188,0.5377714449595391,0.4011511434727667,0.39156880480761463,0.4921294142853619,0.5223096954208589,0.38534898235258974,0.3330638268205078,0.5166187197090837,0.36398373945221585,0.4523389529463846,0.3153190304898362,0.41321498706578125,0.5465185929914347,0.48556282159687636,0.5413977176953666,0.43751916608959834,0.4348476114175466,0.6055721105616193,0.32790551360690817,0.2733368307717195,0.21073996946698528,0.25576448973309845,0.24352649895606612,0.292180800837512,0.3632180935996515,0.3415438875074783,0.472723241877801,0.36887019794674275,0.34781787123199515,0.32517791515733246,0.28522770106531276,0.20771908291901706,0.22261211194904307,0.2758351373005457,0.31825940992611207,0.33517206816704675,0.29364360140228846,0.42235823104292464,0.4392566370459954,0.4314541812622125,0.45102198313127967,0.4651720139425943,0.4202157410506724,0.4958810512761507,0.7823202927849165,0.4944887833675643,0.526292157156792,0.4403718285527581,0.6503606504539555,0.6268808578964696,0.4646267157405681,0.3842042823195344,0.34426601991766387,0.3048056867785432,0.2785853758909999,0.26740895372442586,0.24261797509731214,0.3147168971025098,0.3737436747586378,0.4271336802542773,0.6113313842022509,1.2763511778287373,0.8830314384846236,0.41674812109180537,0.3203294292860817,0.325929254233487,0.2908747577909553,0.32552236753669955,0.3417227359514405,0.30799534786689886,0.2843527976964794,0.2961646705628932,0.4179186994780152,0.543894603470493,0.7649632400598431,1.1425136427413654,1.4679178497658494,1.4064382819781296,1.318101729857036,0.7274168072504357,0.602281083845614,0.4232657535808658,0.3348688571720578,0.37647060820430583,0.3808048497846636,0.5446235430581333,0.3750529091375085,0.44059170092333944,0.4335692872829458,0.41414019660997164,0.5195588050650688,0.5904446167370765,0.6104611843058909,0.5457928400653452,0.4196862034233279,0.7759709215957534,2.289319720298187,1.0556963471625476,1.785383702186829,1.9904739232143644,1.4125169432713718,1.1352003646337603,0.7269881186939158,0.7479613055306481,0.8494136573661414,0.6048222253459212,0.6728024078635332,0.5456496809489199,0.46154457186356523,0.4019614730959877,0.37831417146444135,0.5306535069026884,0.47455983014633524,0.5954363030314563,0.6528464772325806,0.5895927406679429,0.7644958680209099,0.7981703971224448,0.7237120327203589,0.8194257559563652,1.066161855633682,0.9325504860456246,0.9425387926646744,0.8155749985147792,1.0021192406879218,0.9606523067444407,0.7881478192587184,0.7052297606621835,0.7301730182930763,1.1948517750369672,0.8181166459096927,1.2530865254232673,0.709146940775848,0.6782098154729131,0.6707389844534704,0.6450477922002307,0.640987143242273,0.6124448620466559,0.6293035289786221,0.9167068528525895,1.0594064391061708,0.8290169806485596,1.0320283312962182,1.188435088473422,1.137672720880606,1.1468333903293717,0.8010056894852525,0.4947632038370594,0.5178834894291746,0.57391206779609,0.8972638362900124,0.8788766450940113,1.1674277638114194,0.9267844272977919,0.7405026527487629,0.9351790193417776,0.8332547264853416,0.7296468892831275,1.0391749635208472,1.2292318659946724,1.0237344501889059,0.97856989269101,1.2325323518211733,1.3972074804613013,1.072447257855572,1.0247396392681918,0.8141335628417362,0.7176166857667876,0.6994290545442465,0.6198775700125616,0.5735305593808494,0.550700720365525,0.5388928658395173,0.6128699484236548,0.6827323924847795,0.6864126766191004,0.7733034021668294,1.1379747104592584,1.021097553320246,1.0268833319169868,1.1232462982212033,1.29540098287358,1.2862757044421538,1.171915765220156,1.3498353981160567,1.5715060710564024,1.2238358481559501,1.1205735390349247,0.929262428584643,0.6844747655345136,1.0776260553490093,1.1569003050140707,1.420936243758828,1.6444408364713916,1.0215665601956136,0.7763605646933353,0.5423919705632914,0.45465685848020765,0.8572061791708047,0.9864011570642304,0.8065333725444995,1.8149332142659529,0.6831855456316314,0.8011849419756528,0.7766827410667668,1.1267050283592746,0.5207888553043927,0.7269035381964302,1.1705655789663902,2.5062908479387955,3.3315683136295564,3.315486780754108],[0.3419466596491949,0.41009243531579137,0.5482872331295858,0.5629317273801195,0.4222931917476887,0.3069559940711419,0.19505560062299893,0.3108578552672478,0.3152721503720204,0.2757779251266526,0.3056713598486048,0.3862723066114822,0.3024660196745262,0.30406785414052984,0.37769202284837505,0.3280285819887502,0.36047291102333007,0.3620087104311189,0.3983709605181488,0.3677229553873922,0.42300558351268375,0.4232842720737339,0.6044520132194312,0.7289303630363929,0.6781489555672201,0.4811591125813922,0.4153767170355627,0.35428928378739094,0.34259839966600353,0.35563140013980554,0.37434874010101304,0.3927418545303589,0.39781964116270996,0.3804167697651291,0.3794218026071531,0.3600289300619769,0.37756284735904266,0.37412700465887305,0.3508119674342429,0.37716845463989757,0.621873092529698,0.47151916012942446,0.45743169718858134,0.5542749276283562,0.7817241863601792,1.280148848196255,1.155536783888979,0.9327432860413059,1.989115158554931,2.263498142378084,0.9311488776671084,1.6816285888523657,0.7118492766088885,0.6250912472156829,0.9239599875975286,0.507336125170706,0.5315390628892699,0.48364921463670535,0.5343110981602546,0.8729288315110412,0.5778678458164397,0.6613335488474462,0.7298823083538014,0.6198029435869928,0.49297451361623135,0.5600568341530743,0.6029723754888456,0.41752517333701367,0.5849072494561104,0.5337816663109628,0.7902791711049463,0.9788577930129715,0.7020748993957228,0.7050427091140727,0.5280024576249878,1.0406345066610732,0.4419100995557368,0.4148347325912328,0.38941020074364,0.4066973461089283,0.45234670267467725,0.5018029539305774,0.6622628553513854,0.506347412145009,0.5711185832807714,0.40253215252256963,0.39783734993439324,0.45917466739131324,0.3688238934521228,0.48554221492576255,0.3913948982343575,0.6280220014101611,0.5204250215874939,0.4171214725905742,0.4058842634531038,0.480062570549748,0.4888914377280947,0.4134163180537165,0.37985657838957637,0.5739309116080757,0.4169666728631382,0.4636188294385043,0.34601152578945094,0.44195266971342556,0.5290931999621585,0.4806678715427423,0.5994743345040313,0.41766868167559756,0.44951886369158767,0.6198149285492094,0.3497222714458522,0.2766276720099576,0.22691334360469664,0.2922781449746954,0.29205836278808006,0.33965226797318976,0.4206785773947653,0.35969502091235495,0.4491909846684335,0.41037183190365306,0.3735968128370952,0.353777977628153,0.3358229217547255,0.29057567373315984,0.303002826759235,0.3029661748852154,0.33630547106224695,0.3500402514634979,0.29415606099658753,0.40047482065167156,0.43017390386177234,0.4266798498221654,0.42210028498132857,0.4627928021334293,0.3918781032157811,0.47201666837329936,0.8710272234459953,0.4581134899045922,0.5034707426088699,0.42696655694232943,0.6553222851343009,0.5840219844917736,0.44969145425431706,0.39098548697467744,0.35467945035600484,0.3318161032442508,0.31420773351395526,0.3099994894618219,0.28798893683979887,0.3284655918751489,0.40145309127676804,0.434020369301994,0.6609549814395711,1.283813611434624,0.8327691462336666,0.44770464944711613,0.3533018015544278,0.3452895441271153,0.3215203450590988,0.3768682352330807,0.36203725549212507,0.34495823950331445,0.318622139771196,0.34194051690942584,0.5317143801069769,0.5650213833162088,0.8740116115568602,1.2240905405229456,1.5800923146058483,1.477473392656707,1.401256366753969,0.7773471673472307,0.6915256765761001,0.4076977228535057,0.33783304403755754,0.38626559519051784,0.3859129277271184,0.5841019354020942,0.36664572906135945,0.4863503622923519,0.4454100944198417,0.4183372735269066,0.5014352532206674,0.5769801399991469,0.5900283240517306,0.560105526333706,0.4332214350301614,0.7592516542115557,2.1755425983601966,1.1163312927893752,1.5986823803291292,1.7296638470210706,1.2504067151661395,1.0377941741959058,0.6465857817419173,0.7035453613832905,0.8778311595460918,0.5625351576504086,0.64525734776784,0.5039143492493693,0.4263477093402737,0.3910839236340039,0.34334286660693847,0.5190416461065142,0.4576117466854703,0.5583495527665004,0.6980778166334926,0.5747191911096137,0.7540519017987445,0.7232524852003752,0.6705826153640043,0.7645471175161568,1.0191574538638741,0.8471001227760515,0.884632935265264,0.8257677652806166,0.9672390754328495,1.0290991895284634,0.8262524862129348,0.6973888062151077,0.7227029394848982,1.2671215050574147,0.806978720887604,1.3136334157317864,0.7053943173355882,0.7117193648593817,0.7160916234396064,0.631853229957162,0.6241769985465015,0.5662602849070579,0.5897474864555945,0.8424733510152531,1.0431636974281242,0.8000885298123608,0.992459699145914,1.1165113807838491,1.0802193027103408,1.105609912534918,0.7844765795578884,0.45297741695640764,0.5040531655557294,0.5717407336167344,0.9217716103563274,0.9558966632209802,1.214718421275613,0.9863386185839095,0.7716717459216966,1.0096444734099062,0.8990212732805759,0.7845992669604215,1.1268447437293656,1.3167779054529125,1.0663250238149053,1.0310227460869483,1.3121732009812654,1.4415754870724327,1.0835017313809445,1.0588188690069111,0.8190424206596212,0.7538985684724925,0.7398542963443017,0.6385696001099201,0.5794725105260009,0.5376469435574373,0.5168316304930536,0.5925419795308672,0.6742142087877174,0.6783156500429097,0.7382178334677719,1.132677395368505,1.0414784189732393,1.0090280315164126,1.0970052676853286,1.2746234877907994,1.3212143461567398,1.2649520333589275,1.3892357184185893,1.6161853686766983,1.3200050231933766,1.2509497881144398,1.0364043132148557,0.7642483639911507,1.2698396048212544,1.369492983930039,1.5706962280432675,1.7861160869858168,1.1063705832057606,0.899163512773779,0.5381466388754236,0.42871314378668535,0.6770709416855135,1.04564171292353,0.8332188877421255,1.9272937591055885,0.8849681271761622,0.6740969691622186,0.8224189134832083,1.215712835635481,0.5297691107331918,0.6992150227232008,1.1004465719048786,2.44627988143451,3.233166731338509,3.202692263180045],[0.38726310699219213,0.4313635093792811,0.5337330686637821,0.5697087453192196,0.4189957903620677,0.37258364895911394,0.21110212246349477,0.2914466190715802,0.2710126915668028,0.25948070197196815,0.3168307873067663,0.4027638513560636,0.3015777688935671,0.3035437564432838,0.43401026135594534,0.36697709111772786,0.3959761949321487,0.41779321540737424,0.4177942299505688,0.41883975149145697,0.4564449702462324,0.46130625866293234,0.5902921121142354,0.7252679023526296,0.6514902080201224,0.4983495967777639,0.4107364628005747,0.37346623062908346,0.3789891455278264,0.40448297801515604,0.4309770627423287,0.43597026985364273,0.45913187349351725,0.44032889232579114,0.4300163708754493,0.39605701979877833,0.41399314306777624,0.36652148397309336,0.3458083530484814,0.3663239346654505,0.6560123041169585,0.472100646395321,0.45308147626336487,0.5558400875180632,0.7397764332342108,1.2204190045859231,1.0548655594975134,0.9400853642386265,2.0449814526201635,2.177468576740091,0.9416236909181745,1.6527570496942272,0.7085955858814939,0.5990075972557548,0.9365324955001285,0.5230669058424411,0.5364128124146837,0.49114690313954396,0.5911667633135976,0.8472953815728974,0.5725779284531753,0.7260519485574582,0.7914024638050936,0.6943563459829125,0.516405319397888,0.5828284487382195,0.653077971211358,0.4792252103254824,0.6150717139366444,0.5848386027379687,0.8131930136767631,1.0224852828547826,0.7518698493976965,0.7558133007975997,0.6043177307299971,1.1021289053252559,0.5154522895737361,0.4824252790993786,0.44764504689315066,0.45771444865774485,0.4998450235951062,0.5322100421993369,0.7427499834799132,0.5063277555366384,0.5426039721038428,0.43800729855162496,0.4042907413226825,0.5052255743114806,0.42351875334293054,0.5406658738929393,0.46589878423863773,0.6669421323594037,0.5618717607903707,0.4690392048712539,0.45566493625790044,0.5148152934118357,0.509669252594319,0.44778093093253163,0.41719794850716146,0.6252781852866353,0.44707157996010327,0.49622559497939345,0.37331416289003755,0.4584035987544404,0.5632302618134487,0.4748905883637645,0.6548212604504812,0.3658431457428597,0.4227657254071633,0.6445232512859789,0.33625467218495475,0.2483118665476815,0.22587530127822655,0.298020219880854,0.29185671435150823,0.32093570060105003,0.4045646991937565,0.35254671398422477,0.4286051346347051,0.46338739755168956,0.3909708936557275,0.3727604587114724,0.33593146963107207,0.30161171637922024,0.2942413018523726,0.27396705648331005,0.4591852407897302,0.34448104339646884,0.2959789322438702,0.3885995945081381,0.381065468057213,0.4152506656046757,0.3377967071494894,0.5222277945690272,0.35687926787233337,0.4125421374081498,0.8598709639384754,0.41203653911177557,0.4858906926058699,0.41627859503863757,0.6137497992130998,0.5111423056750924,0.41906658609603914,0.34969473066318707,0.32047296973537487,0.3320109272016927,0.2941690668107591,0.32148491797271816,0.30318475252661703,0.33578904773743473,0.4117655927169998,0.47345845401591224,0.7408377624428734,1.4352177849032803,0.9203919292450702,0.5078907585336317,0.39487548103736236,0.3828122443984861,0.3426959361373908,0.38946964281958685,0.3468192040961959,0.34651923786360844,0.30609216325605954,0.33330877464906833,0.5181379195974484,0.5195793878624445,0.7916789638313309,1.0913955163886733,1.4316209629800578,1.4040621018673742,1.321182428474166,0.7731543268887959,0.689433031173704,0.38063467562979486,0.3376572262121724,0.43041704619057525,0.4148216199800406,0.6464354720917835,0.41200199627889,0.5394831357884918,0.4116173329698498,0.41280761226349555,0.44555350385566617,0.4876073851593956,0.5000729918958556,0.5067978294358566,0.40382342076116357,0.6531307508001266,2.0928377511741343,1.1434935473865568,1.4199414462640152,1.6489996047857216,1.1155866690975262,0.915002512233204,0.5191871021064408,0.5444245267084492,0.8182298633004976,0.47109109146727063,0.5745940498765992,0.502564311907844,0.4220598536675098,0.41659237642075664,0.3906905719567652,0.5374426475522558,0.44471254473508154,0.4846740747489942,0.7821500183479322,0.5959111518227012,0.648987284170448,0.5753517941027034,0.6647523098410996,0.6365921212629082,0.7559030836961552,0.7586136473499548,0.8668344238633433,0.9258308024490352,0.9286412454301018,1.0998693341004206,0.8631645831068927,0.7012602331681009,0.6990248834307587,1.4415377744588003,0.8023955369832704,1.3470102030033035,0.6970577689701041,0.7877416533558231,0.8064062060121268,0.6961175370052284,0.5844222524439647,0.5153809795273158,0.5471225040685305,0.7165595308841699,0.9107366665165243,0.6874330654201607,0.9797364588070532,0.9322775008491916,0.9407404170045526,0.9784399638883702,0.7033718035489281,0.4251146238208419,0.5297677313266127,0.6320454189727803,1.0275021239103161,1.0975682055245313,1.3554349735606381,1.0337403678278645,0.8658525869494245,1.156889475507778,0.996430504029157,0.7966000312567556,1.1245416111513187,1.2812743772647983,0.9583448404859839,0.9540088632273365,1.229058502106069,1.2576947664261575,0.9199335961286437,0.9447625878205651,0.7387468120215664,0.7233064954339525,0.7363349408977117,0.6591779004779862,0.5576464243905399,0.5114713710099553,0.4983075733353545,0.5633848688283661,0.676275149214802,0.6416163821378807,0.6491678115577891,1.0623668059782323,1.021443397615635,0.915613540834882,1.0051459884480403,1.2010022909004818,1.2726713310000544,1.2603739891756462,1.3649074259230007,1.621979905923064,1.3711765297007248,1.3432070157187566,1.128241807266484,0.9330465818006677,1.4185294068980057,1.4582639288972954,1.5858535924826729,1.7599325399529089,1.1078904151963935,0.998253321829854,0.5399328520161873,0.43379076042715553,0.4896081144401132,1.2057122569607768,1.0553440748576417,2.151168369946524,0.9658272601503713,0.6279735567857637,1.1703134290262536,1.227172514366787,0.6294029954628158,0.738718069436487,1.468148202416205,3.0889752402965147,4.075881345823397,4.121869369861269],[0.3902366625789886,0.4348108352647965,0.5097451572775867,0.5078602493242779,0.4090531326788962,0.3839528725679114,0.21555467006715595,0.4289898089201918,0.321524698440553,0.29510050523058495,0.3570134604561027,0.44690249414177036,0.35377570385404766,0.33498846719548997,0.49518292618653237,0.42491349367665737,0.4307655562621646,0.4378048190547496,0.43014406983334547,0.4409227567750157,0.4634163722996713,0.4951904071456011,0.5941121494386051,0.7073608186394015,0.649895568402884,0.4730630369230925,0.3979257493415102,0.37506576278557263,0.4020547194811443,0.4470078589443623,0.47268226184887474,0.4994018002585579,0.5010232823804467,0.4872804623401001,0.48574883845882194,0.4328137729992593,0.46927014474465806,0.39819862548464047,0.35066501022377344,0.3810162096410452,0.6856954971982917,0.4498393266921675,0.41763535637755494,0.5407893233801196,0.682418321860764,1.2500272179516743,1.0542088507854546,0.9718393467936988,2.143149879011605,2.325722133201475,0.926089450325458,1.715364427317925,0.697723450519566,0.5544110322034888,0.9462110288582021,0.5211190637013648,0.536337053409247,0.4905254964923616,0.6038984821648752,0.8013765607859237,0.5856431259971784,0.7397784753871275,0.8317093525653786,0.6857033570359212,0.5137573810839494,0.5945765613410827,0.663166982481007,0.5146890643167935,0.6160111910554447,0.6174353845684916,0.8307880247679029,1.0332094934168896,0.7842846307074467,0.7488800089289911,0.6180766832044226,1.078061701968575,0.543985043331107,0.5121738294268313,0.48984170450350184,0.5057805806746472,0.5572423352218923,0.5521307741771015,0.7598565255792875,0.5408228978415993,0.5796122201322761,0.48214860177834623,0.43930666431019294,0.5708017311415757,0.4643231168530344,0.5719583721803592,0.5092155954272632,0.6922029693836833,0.5920191747795889,0.5267764149069195,0.49886619259994563,0.5604760157750798,0.5504961488931454,0.510479390188487,0.49151456538223753,0.6582725290293028,0.5401691274140993,0.5882856313679978,0.47584069200276413,0.5455832909505476,0.6102768730201236,0.5145856286528436,0.7264710444591433,0.4376319397409364,0.49225974658820737,0.656614774955138,0.4032828857267828,0.3175775449348556,0.2983582252533314,0.32534107886700747,0.29614139489320174,0.3112149912417923,0.3859411617533898,0.3111068527133267,0.39584276375628574,0.4424800357257848,0.3772790709414632,0.3485388211667342,0.3182655081696611,0.28291809819364483,0.277322976096796,0.2826008726084868,0.3989622170712919,0.3818051833486408,0.337126323221849,0.45553108111073626,0.39714183911739576,0.4403103176373323,0.3772633281586418,0.5678645559480207,0.38944730558724644,0.48306947760382857,0.9413457967269305,0.4332128912378122,0.4577926603825159,0.402134339276427,0.557725548795314,0.44188739583318665,0.35678412083712174,0.3110269936412113,0.30767469731158775,0.3598788323638568,0.31483069055401697,0.386334405836302,0.3738076808838331,0.4183869319584773,0.5100912320205594,0.5057682932641347,0.7637656694228996,1.356578811268057,0.8400125632246705,0.5544564768889261,0.4940980512302891,0.4925466861371898,0.42074642835892656,0.4997981204595631,0.3979608489266607,0.40755729273336594,0.3425142448006182,0.39907247925857964,0.7008914495401171,0.586866977124946,0.9526048916348419,1.214694059903574,1.572839615707387,1.4868370381789966,1.4337900003220356,0.8610233964692076,0.8419854528102515,0.4188713876683586,0.41046162357209387,0.495533712543344,0.4826280058807735,0.732391968134323,0.4834248734731399,0.5949920894260827,0.5095544729123223,0.4440419170249243,0.4482539228843214,0.49863960323416934,0.49617681849866674,0.5266458946089907,0.4432285072631877,0.7071910212951671,2.056718328596791,1.2463281338526175,1.2960487194431065,1.4623732757489551,1.0002108718602238,0.8563206287301753,0.5068705148843875,0.5562869314872105,0.8629207395908179,0.4654900074647957,0.5592985267876757,0.48664942435037295,0.44655860722403196,0.45834674088688615,0.4140677655249541,0.5731976157225613,0.4877561256970013,0.5058888431890799,0.8848474198843979,0.6601502470094105,0.6630124339285793,0.6015270499944059,0.760517087269727,0.6682480060466283,0.7278502079593451,0.8423604133029697,0.9673929264274851,1.0783147009294374,0.9748541084942377,1.2260155580211856,0.9578927875146727,0.7577632783462722,0.747429249111703,1.5279537376224672,0.8359975286439212,1.3992691781285587,0.7262397271948565,0.8334879126214695,0.8534846453291274,0.7257484943080402,0.6249997297819556,0.5343037740682887,0.5758623823039992,0.7078449725282974,0.935925864077617,0.7019900788569674,0.9452818214748115,0.8937771890213078,0.9044304686793836,0.9290534038949818,0.692847268370749,0.45450054306470095,0.5733950833191834,0.6882798906888575,1.084471954359939,1.1643766530367456,1.3988851346894646,1.1253696839714502,0.899605406292429,1.2056553012772386,1.0492585593057298,0.8585253734589724,1.1877784314865938,1.343658895952644,0.988258415787193,0.9888207782804884,1.2718907127487074,1.2655662347778098,0.9179429018510158,0.956526252759058,0.7557351715917378,0.7628262214622803,0.7912763630288538,0.7119448733034607,0.6021325913813849,0.5587276426909936,0.5490540307051672,0.6099515269720942,0.729671652011687,0.6842185995351616,0.6823343728665895,1.0988808288916394,1.076053762828209,0.9261329954038461,1.0297241085647355,1.2400312868749461,1.3427364468700242,1.3640851350587018,1.443982285285557,1.6863846387558714,1.4892757374231511,1.495262361394742,1.27191381533614,1.1494541564157859,1.6384648049817805,1.6246560892451805,1.6923812423513014,1.8233132164154457,1.1592430712903332,1.0615023809532005,0.5410234945109603,0.4316810174514236,0.47854508091240366,1.2116985417419226,1.0728562539206385,2.2096596099956702,1.1854470481570443,0.6818642589902432,1.2416477558810346,1.3281570257175768,0.670620930974198,0.7570742197277577,1.4292089921981832,3.024163372993063,3.8924675817139245,3.892058448797992],[0.37299539628399303,0.4214730482781408,0.5165417345569523,0.5689719885680464,0.48398821210733994,0.4819372639362601,0.33331715336976225,0.4213856440341856,0.2993085793236671,0.3060609368402525,0.3618343994478781,0.45176640790313594,0.35466195726530203,0.331150032836678,0.48324321006483395,0.4157061568525042,0.4278592706740081,0.43077183140986375,0.4166089864585827,0.4410290168578668,0.48681720685552954,0.49471326152569695,0.555891505345956,0.6960208765446133,0.632883591851077,0.4885533260707617,0.4352103157222193,0.4095286030448348,0.42185560011840617,0.45072070221140864,0.4812693870680394,0.506676972987637,0.5484395037999983,0.5279016512896418,0.5094015169659806,0.4453891988437312,0.4872646852990971,0.4264415344125771,0.40251548894954464,0.44261509543265687,0.7368465801031328,0.46837597689307164,0.47666478282455677,0.5181290215695101,0.7106016479985893,1.1928156878313902,0.9922016659189997,0.9528873576687968,2.063733703191429,2.1674670379029264,0.9513809374453719,1.6419877203311182,0.7691304444686073,0.6172833723533688,0.9748135890273447,0.5877738018347126,0.5791680835323036,0.5447536346167859,0.6868937547620331,0.7995131058831544,0.6046032194620753,0.8124251171530636,0.8730156395624659,0.7808393933795107,0.5227183217798262,0.6168174140560191,0.6902573618310489,0.5028980947626176,0.625962923958132,0.5859955307975838,0.8090915905507023,1.0237077063127396,0.7695380400316725,0.7379110469119275,0.6457006128742124,1.1527696860588796,0.5547306975187468,0.549393533759242,0.5103038884667528,0.5387111002209775,0.5969864329712155,0.6109743496054901,0.8269634385701596,0.6101157715557293,0.5562166622276751,0.501244871067814,0.4667412832226815,0.5979332609030531,0.4698371871769582,0.6336329535593669,0.5309943933244419,0.7076144227123419,0.6195939101630732,0.5717996998140127,0.5278133255003788,0.604027007832509,0.5882124871215735,0.5416830892937863,0.5275976885780627,0.7448559520209841,0.5651284902258724,0.6233716589801478,0.5137453404580216,0.591995217692088,0.6946042353257733,0.5564984103100259,0.802646252819152,0.4674786453552452,0.516559620995412,0.6841231126871363,0.4260774178866947,0.36614927222887134,0.34656414683520126,0.37527340404269716,0.3562578908966538,0.4168377791509019,0.44552651637367063,0.41292228618626875,0.48971774318256334,0.4846655471922645,0.45629257200507184,0.43392255094603094,0.4204289313650477,0.4156610674433301,0.39867788102485185,0.3961825019556384,0.5033904615018946,0.42529713933040353,0.3917309843751297,0.47574676175222214,0.46669725269484613,0.51070440691216,0.43557285803830337,0.6283011363989212,0.4409132033275286,0.4848528860021697,0.9588380287718676,0.4805421833632705,0.5235333777595921,0.3862340402681636,0.6245225812719075,0.5161035612425073,0.4668714280959577,0.41646575602347624,0.3770902913429939,0.39627302213876275,0.36423422018316853,0.4033297742401537,0.38358794375562594,0.41780456124578885,0.5185293163002703,0.5452765505134728,0.9105855023077511,1.5975348344832128,0.9188099881068738,0.6413667568983367,0.5256355082086621,0.5242942506280662,0.4449366973275334,0.5229524921511478,0.4022234480054074,0.41168396331727447,0.36072980100606844,0.398726996805624,0.6259964944278472,0.5260537665628194,0.8234750793600868,1.061632908612845,1.4228181029649751,1.3560266890525223,1.3030916566983344,0.7613677617529429,0.753335059892486,0.4221363033229056,0.42164453673738483,0.5275628178973089,0.49210228871071654,0.7681307049532944,0.5102209028784573,0.6512669154273798,0.47128698746092895,0.49181325659550834,0.4993686102350929,0.5360739967722544,0.5484099711344607,0.5613370974295936,0.4695614259185468,0.6698619415114305,1.931131886407768,1.320195898012216,1.2425604151811644,1.404965215287176,0.9805413949363794,0.8485685640981313,0.550479556918084,0.6055461044016816,0.9255404301878455,0.5018974131159658,0.5857639807467467,0.5328901118849083,0.49529289844092894,0.5236087762854368,0.4721949614988,0.6100269101794363,0.5297101739991515,0.5306654369531668,0.9465911783776183,0.7043652661735001,0.6938152156515887,0.6472308302121479,0.8432424437355668,0.7068703823678478,0.714942604120424,0.9525283954952176,1.0797734434883721,1.2196542054472113,1.018147300664222,1.3414727906233197,1.0236170035777783,0.8090703095852152,0.7824325132058623,1.6069473946570862,0.8945840314482921,1.5078191368025213,0.7841661834779635,0.934588559830506,0.9374540828988385,0.837749601814524,0.6803316749013973,0.5522164772024291,0.6136785470484506,0.7095845246727022,0.9445243634401078,0.719012124453289,0.9833318421667865,0.8903602266248573,0.8877958686949063,0.9209425249524472,0.706792633051535,0.4924626200589265,0.6622967231807372,0.7574002191344505,1.1980420582819677,1.315105074310499,1.5340206535182415,1.222091036089705,1.0119550872159069,1.3671160759398628,1.1545411524546896,0.9349685179174377,1.310580846588133,1.4465762645975588,1.0245355691756917,1.0715997167369873,1.373339794598977,1.2720730671208051,0.9475815284231772,1.035223436286719,0.8074539683200425,0.8529950545588056,0.8746177602898478,0.8015047432875723,0.6686383550788599,0.6058622090705355,0.5998898346802105,0.6481701648981452,0.766464930113483,0.7072790406738045,0.7056706608120925,1.1160830940851596,1.1148116000754158,0.9474426693837551,1.0490078277965804,1.2949060299758564,1.4193445761232593,1.4662287334109454,1.5542564060763648,1.7924300661412589,1.613861779447857,1.6467167420192375,1.385838603175853,1.3223599600229146,1.819661769921432,1.7540331511516232,1.8070339326926572,1.9008801123077237,1.2180317986822478,1.1381365838207838,0.5812744694805313,0.4759640519823767,0.518369498961212,1.2569428440660209,1.1567364564886593,2.297014218046537,1.2905032728978736,0.8171173506248032,1.459692193983074,1.2378073338300548,0.6703886884896658,0.8028135276389092,1.4704093608726096,3.249410407594568,4.430075182781251,4.5631769225173],[0.32741126309250074,0.342684992788224,0.4534472240183064,0.40499112207411014,0.4114419607452866,0.32784048066620025,0.27462003268623675,0.5120600512952519,0.30615275447331014,0.29043318930420026,0.3515580250920233,0.490149311029379,0.3896374595065456,0.32780462766960594,0.5434995102380966,0.4836781319938238,0.4605009989243218,0.4818686055940232,0.45063181812160175,0.48643876233885136,0.49617044908874547,0.5458105948982113,0.597365151943893,0.7090213587516271,0.6451730088271582,0.4892685136412319,0.41798504690901395,0.42090164897489757,0.455827693367937,0.5133295944710663,0.53508093124118,0.587256526175561,0.6071224318285992,0.594395996685713,0.5768717889049647,0.5082904513040242,0.5683588038457749,0.48051019712567267,0.4241907367029545,0.46701526942054244,0.7765528333355469,0.48826032233620686,0.47829202516055025,0.5829188527093554,0.6739435399219669,1.2387497996255024,1.0236881758044896,1.0238864213932881,2.209834707432329,2.3622162414151577,0.9550629771929133,1.750058386984875,0.7811871327953255,0.6018730381784584,0.9947711544772256,0.6214345792513397,0.6088448161258216,0.5598185994525172,0.6932465631317241,0.7992713907393648,0.6277744696360276,0.8310687610078845,0.9019948069609139,0.7720764327190308,0.5480737859844089,0.6378309066825333,0.7150988462404038,0.5723090724039366,0.646749427074014,0.6670544223481016,0.844971097599643,1.058707269651437,0.8461536952082362,0.7727018861654437,0.6790400009625354,1.1063769366261098,0.6064000253857832,0.6064425060222554,0.5836466773513573,0.5968671627109392,0.66027557817012,0.6445652681652899,0.8389349985182846,0.6562525249586695,0.6216198258149878,0.5670385225040787,0.5333792070261733,0.6881264910385699,0.5437127126843564,0.6618480964084232,0.5986538787260237,0.7443381603977778,0.662105586458423,0.625448982223715,0.5772576708196272,0.6461922344065396,0.6521654255999314,0.597196060232015,0.5981064424194222,0.7909353196495997,0.6655324668766832,0.7237019505359432,0.6200497690556178,0.6810295499264858,0.7426366097877233,0.6306245549457613,0.8939841985913801,0.5661740757996596,0.5903647328586346,0.7255212603927467,0.4785557743131882,0.4190465527908193,0.3883090844818199,0.37829385822534706,0.34694914854025477,0.3450104858147811,0.3981496425451246,0.3408089577979778,0.40531535292770976,0.49551955111887075,0.4156732796349679,0.38185863418534516,0.3249276829236178,0.30910570738033927,0.30494019393763816,0.3173383473385664,0.39166160626936886,0.43601245866492316,0.41042774386264314,0.5343198800538516,0.4536736489104697,0.5345900633932711,0.444093724303955,0.6773334622886787,0.4612401237523767,0.5318446318475304,1.025832956415635,0.5112809775665971,0.4977271507102809,0.44112410031324345,0.576825908824585,0.4474054777297113,0.391733031211084,0.3570363649675448,0.3681706460072715,0.4205248191421872,0.3772526527687544,0.45890843632846207,0.4580026322371823,0.47960946320979736,0.6141124807728702,0.6045106527682288,0.9378705797573931,1.4120832453741117,0.8565288756193301,0.7009839675563265,0.6163405808740218,0.6286511932257586,0.5328943004893028,0.6271364307922067,0.4758102158188273,0.48449100902726816,0.4187303249153631,0.490093937359801,0.8449004100772458,0.6757464775475396,1.0604697321667345,1.2791097539739196,1.631756727618776,1.504581882880771,1.4759262300691238,0.9215214288334964,0.9485388563883833,0.5030678041943197,0.5138301618419405,0.6051518287985796,0.5864429123901528,0.8480818945022124,0.6137256631773678,0.7164011402656567,0.6050585894671298,0.5521962707508307,0.5267054146539222,0.553398692458153,0.5412329810659925,0.6060060130978467,0.5077586853092836,0.7448682276204524,1.973623944099792,1.3800988552814133,1.153390351464202,1.2251079367635869,0.8428603768423176,0.7761555179526082,0.5099901298991035,0.575579524502911,0.9073210595691518,0.489502630788445,0.5534372842980874,0.5321955054763938,0.5491427476559613,0.6135984237165388,0.5125715782593588,0.627439361365773,0.5950305805219368,0.5764714775434421,1.0104706730477468,0.766855881439252,0.7476308588869609,0.7462347166115938,0.9841604637468523,0.8124040365346943,0.7742755509227749,1.158854350370649,1.2791219370492461,1.3864826550201803,1.1103667275698312,1.4391168907674796,1.1108749913128402,0.9017541559736678,0.8570121686581582,1.7447498783447424,0.9718267449008856,1.5781839956276453,0.8563530368586898,1.0337771219190053,1.041549129211079,0.9654136437298757,0.7989411798103294,0.6395888972505437,0.6914390676170841,0.7322692965619707,0.9558424587492425,0.7324774831954416,0.9898652845814626,0.8493040094014697,0.8308872549406512,0.8633930142230932,0.6905011206794855,0.5813282746080759,0.7536287431095794,0.8420812543433528,1.2836418122365256,1.4342531338583746,1.62538676949985,1.3351571215329439,1.1213666196487955,1.4735136895151362,1.2537647737193003,1.0317112722610404,1.4041252472966796,1.5348892170587904,1.0764163804129652,1.1311197251434257,1.427425804568745,1.2817517936253824,0.96592247672021,1.0757233203485757,0.8639264467753375,0.9359460660479206,0.9694074543712384,0.9030835424680227,0.7587430708926637,0.6913122807267768,0.6828592654020648,0.7199471739496376,0.823054403957298,0.7411490822730101,0.7358284196811936,1.1040575858198896,1.1035336225905443,0.9091511010152118,1.0224604296544,1.2459478626492069,1.3954052928168863,1.478430142890862,1.5680959177893679,1.796357786501496,1.6821062551457289,1.7239612352489255,1.4689565587088795,1.480016506204348,1.9131560951286701,1.7989962875251133,1.7935974481860346,1.8440545691987118,1.2003146533650995,1.1342585600855168,0.5514830666996806,0.4436515522946757,0.5791034451173936,1.1656794074048804,1.119738635684355,2.232093121165347,1.4121239405021422,0.9680791913147876,1.543866943515854,1.154455634426421,0.578447370161436,0.8593844126312484,1.4696190442180253,3.2097278848125153,4.237008029171626,4.283263970943312],[0.46534278047512734,0.446887120909718,0.5541051452673014,0.4727061644312377,0.47751061604679457,0.41741959273171614,0.3678496515461243,0.5579356185190301,0.3791093743093779,0.37761979737606133,0.45815775806400816,0.6108504636831511,0.5155827196546386,0.42258884662979274,0.6575320441373539,0.6161093241976212,0.5385291576260837,0.5925904707618321,0.5783555606139531,0.5914624651701628,0.5865963436644137,0.6761293731565138,0.6867413072473002,0.7782392767221737,0.6989294897780896,0.5898023845748145,0.5245171085944647,0.5141026628736122,0.5677965900264346,0.6312278070206421,0.6745748416017222,0.737235883003829,0.7909712141591884,0.7762077985917455,0.7408218641151192,0.6398975381327613,0.7087529605868043,0.6171488125211136,0.5512196980687839,0.6198626663349708,0.7900848477748661,0.6393812148159861,0.625090045669138,0.6850746992141169,0.694804631470991,1.1533826701908891,0.9246710121113704,1.0657174905921234,2.190627815869203,2.248180919484489,1.0833134223804033,1.7225037818111948,0.9234134372404351,0.7542756091439199,1.0459184854643198,0.7943065123402373,0.7617592860096943,0.7296427571709417,0.8740331002036281,0.9282694392548693,0.7258586235253126,0.9613165395061536,1.01081627937154,0.9832668694086826,0.7070390451955639,0.7465430766359358,0.8249368944931882,0.7037946081383605,0.7554690365615483,0.7756378068110859,0.9182575078986218,1.1755761623979666,0.9771275441199673,0.9337934397985653,0.8246182464575618,1.292769676589877,0.778304396660681,0.7749845971388839,0.7400870623192662,0.7721375297265661,0.8075128861195345,0.7453802905742072,0.9819700976918577,0.8020930793808496,0.7196419124150177,0.6882132159884247,0.6562232451876482,0.8212683832432138,0.685903915131857,0.8350453064484424,0.765367442617633,0.8897699443216406,0.8179172454547378,0.812652534760688,0.7359491162463654,0.810819995251733,0.8229373319552538,0.7628776693059595,0.7794890815235134,0.9926730945709312,0.843050329138244,0.9054116527776174,0.8168152848367577,0.8409396168478391,0.9479997376998069,0.7718298715740505,1.0005815670991365,0.7011785980832386,0.7001114215389957,0.8031241905535097,0.5836672225493456,0.524458614897482,0.4684319268349874,0.44493368686715473,0.42471056079870495,0.41645813148167793,0.4550033709132307,0.3960047743040471,0.4643810237629976,0.5663772525794284,0.4869205197505208,0.4488678577906768,0.37763608068616566,0.3730118666027387,0.3668812928787522,0.3531910694268051,0.5059599119171203,0.49159289504448034,0.5159136628780316,0.6504481732268316,0.5797716466054926,0.683711590902309,0.5864449529955253,0.8329288167776746,0.5801875795583985,0.5996580158394493,1.0374051429262092,0.530136924783129,0.5185263472070745,0.4746983765101025,0.5745263770221629,0.46043259316215357,0.46219551381868634,0.424464868484823,0.4680316011036685,0.5362612542238858,0.46875998531207247,0.5737171472791224,0.5704065511646539,0.5718300405585733,0.6993857822463582,0.709751346478362,1.1553620673262663,1.7152293902735454,1.0244855974573395,0.8967911681917734,0.7666587052193369,0.7743602292611296,0.6948761928175227,0.7522107768303665,0.578304143396362,0.6045484058023486,0.5166988876684286,0.5940360537408393,0.8537913001895666,0.6659511620931071,1.0014691451391533,1.181702364956458,1.5134551728698924,1.444121570138162,1.4107956163302526,0.921135839451998,0.9591850412111016,0.6100575060652751,0.6439592807145401,0.7627982440272666,0.7387187591523946,1.028559015936371,0.7788236339956889,0.8965880512996868,0.7044460578125054,0.6860119506343234,0.664763415786538,0.6728227969353909,0.6328376425580885,0.699583565746988,0.6157337651518578,0.7270348728743309,1.897030227713732,1.4438172497925361,1.0940581470850068,1.2009261836695493,0.8497954782115518,0.7961579880548447,0.6144351036293192,0.6662359365375886,0.9814201323726891,0.6202207612199614,0.6571917332049293,0.684195646609321,0.7171888955542584,0.7786362970891362,0.6827815782808202,0.7678694961243163,0.7678926495809872,0.740960067079391,1.124138924613256,0.9277309529420587,0.8991756576794294,0.9655767018854129,1.180844545109522,1.0374613455546133,1.0005901822979664,1.3797637782189853,1.526843989524192,1.5778088202817269,1.305863854870186,1.601739872538665,1.2685446422646953,1.0876921386789091,1.012424010778565,1.957221015546389,1.1422856762064644,1.7403432817387914,1.0306337462272683,1.2402761023249933,1.2296238131814816,1.2118301898411474,1.0095160584712415,0.8191234210018521,0.8833046462980307,0.8754120867343106,1.0190503792296188,0.831971297482075,1.091519551790689,0.9015651881815717,0.9038191878485812,0.9001507826480566,0.7705409927232694,0.7528800151435174,0.9560308686060407,1.0151353133495102,1.459631861371517,1.648643145940135,1.8014886674228374,1.4442493311048676,1.310106147483045,1.6748015808853418,1.3880526691470823,1.1561518964518815,1.5083825064557208,1.5747395109777502,1.1255899201664552,1.2346976313539904,1.49582308951043,1.254442010487286,1.0744365404660936,1.1998405887623451,1.0260101118497702,1.1116195102417665,1.1239832563988617,1.0963575469200717,0.9667218739705331,0.88218548944183,0.8640563396490493,0.9003877967041116,0.9831260734979579,0.8753060583086814,0.8741506186021039,1.187349464211629,1.1888844396939184,0.9899430468797855,1.0931061674438656,1.3071993303883227,1.465170915959256,1.562224740985368,1.6622686948033676,1.8843603161610165,1.8046586849634567,1.834861529121223,1.5771816851548106,1.603148176884297,1.9996374312732732,1.8579640548248093,1.8459780932672378,1.8703075605048753,1.2453952176500402,1.2074822713234454,0.6640451044360294,0.5497915070867531,0.7815335694645152,1.2564211172501405,1.287352213664672,2.2101044217457435,1.3852971702498318,1.2501862399791481,1.7489689883565,1.0300000914116867,0.6375111687015923,1.0117349079631728,1.527816956822817,3.1244554142595233,4.857098143824745,5.489191222747426],[0.42747287879392465,0.44252227873192457,0.48384692044162314,0.5250216431929434,0.42793617591308053,0.3952519577645567,0.282882467218994,0.4544309269615154,0.32521810355401504,0.3618064437375755,0.4476824835413524,0.5617007982777996,0.45530312549847257,0.4449626622039363,0.6636470852933374,0.5899784202838153,0.5343580432142678,0.6046762364796681,0.6028096701047739,0.6185429799672603,0.6402295762301845,0.6819052942780505,0.7349624040548919,0.8719948323179579,0.7116414357259392,0.6335967938046069,0.5585857667767692,0.5343725589364555,0.5693015862041124,0.6074000435975463,0.656132928747763,0.6757108345472678,0.7495109610252103,0.713672246579663,0.6819902959236614,0.6135790234589048,0.6520297083467207,0.5823513865303179,0.508297876398428,0.5636675768966664,0.810736418045358,0.633144740769246,0.6042508383321277,0.6929441325296534,0.75007874575017,1.1984774785604728,0.9790137692101711,1.061389976127708,2.2123534347262885,2.179708978871218,1.0379474543527605,1.7097233057766377,0.8113267876691692,0.6628891174679747,1.0392434248415183,0.7094677945635196,0.7066492528760512,0.6722509515486436,0.8000380397673701,0.9023121906648774,0.7102798566822418,0.936282993665803,0.9830288926673906,0.9683857505859673,0.7267432214085329,0.7626859376890155,0.8714088457727739,0.7233225959558721,0.7584394617858217,0.7873213477556459,0.91934323457523,1.1728830456046282,0.9741969509736661,0.9553884948390221,0.8026031373117625,1.2639707266971827,0.7471909578057584,0.7327946927852618,0.6904606575142245,0.691481756224265,0.7472605514492441,0.7274853514929129,0.9326928526979195,0.7198485686772949,0.6869093103878412,0.6454868425907622,0.6129656101548756,0.7707976250434027,0.6421317570017853,0.7881292328943406,0.7242169473468886,0.8534503584034394,0.7643390608374323,0.7412457087816999,0.6955450285291389,0.7537738453179668,0.7791156863081404,0.7165629966229248,0.7082647067572111,0.8975953250995832,0.7527778903297785,0.7693698644477283,0.6797115562144856,0.7099247435368771,0.8224934298821457,0.6232408839951094,0.8681686544188171,0.5275892161077197,0.5291818370483775,0.7321518283703781,0.4302186040846446,0.3946991490158536,0.38004023210791443,0.4020869277719439,0.41490852831837394,0.4402024706769108,0.46218754002985685,0.46767317599604336,0.5408446649622138,0.5892763204820891,0.5476994380644259,0.517518181851287,0.4756530208062905,0.4250070071759232,0.39700472385655033,0.36811790521563725,0.48484258631935595,0.4169654156063087,0.35799158804987097,0.523761264494032,0.40813624065455706,0.5108526111079056,0.4218738941042634,0.7298126025083943,0.46377803489039404,0.518561728190681,0.9426566551573425,0.493183750356693,0.5415961027386125,0.5083446043984726,0.6321852488938623,0.5393190234695658,0.5059406578906116,0.4452839625625983,0.4630515617370132,0.5101376574640114,0.44582257591086283,0.5058472158505084,0.4862866516190092,0.4838471085085079,0.5782825564818944,0.617041857520496,1.0512335908207109,1.870267203866575,1.0548537002400098,0.7954675052830084,0.6793649655783001,0.6640164796141504,0.5984763774128844,0.6276744303325408,0.4937191949019537,0.5283752899799418,0.4704440379417057,0.5209816437788117,0.7212342170930052,0.6293956185501747,0.8700537502184464,1.073397902627871,1.4118519831487428,1.4032734220360357,1.3455557181794084,0.8845642872163516,0.8707839052922673,0.5050291688897867,0.5456294639948753,0.6799523217846469,0.6547413368899321,0.9257811681084791,0.6825885024024377,0.7785277805595541,0.5928018173817947,0.5615010788099238,0.5222882537976485,0.51948070169065,0.5123687317122252,0.5687040487120826,0.5823662625434747,0.7202984314185944,1.9832777551711396,1.2808744488012889,1.1777696798323902,1.4534159310928108,0.9293702563221905,0.7822520140609076,0.47969809820648834,0.5044343643246199,0.8509603161246971,0.4306152453493027,0.4936314295887667,0.49627948235042263,0.4975294584014148,0.5840421220670005,0.46760726825728816,0.5696553369351678,0.5606272485274383,0.54657735883581,0.9400764518696099,0.7322692779822999,0.7343800901141971,0.7420806551305974,0.9536627216695824,0.8326353312919783,0.8135954062252092,1.116517663186793,1.262671079451093,1.338652511627673,1.1222162691573567,1.398521166062721,1.0711864025230784,0.8938083195133433,0.8389850229431174,1.7837424584268569,0.9568745220439224,1.6021895208083932,0.8840043200793343,1.0922256642836488,1.098917467744752,1.0412547098102185,0.7867654741901742,0.5982045231577561,0.681085358416848,0.6991007137425721,0.8612283930636765,0.6398873429916988,0.9974582546417983,0.75500334680997,0.773035929198654,0.7896755298042172,0.6002668944785776,0.5358185055155067,0.7749683674502366,0.8688312473185105,1.3369454002229229,1.4985165644107143,1.6940682334568116,1.292417277597333,1.1462512872004171,1.5174627708126593,1.2525255152990558,1.0104193182534893,1.3745281657573765,1.4590204345750917,1.0119193068415373,1.1066135446819059,1.3880521170740676,1.2021955374626425,0.9651441677147552,1.0827152822023782,0.8832849354602125,0.9518800772249116,0.972536757408491,0.9313228160640568,0.7760939895229428,0.6798943993773249,0.6720780414934979,0.6955504524839572,0.7979666907991518,0.6809138224501398,0.6717458418113047,1.0619963559079832,1.0582778266646704,0.8460689114564856,0.966362736873873,1.2222077384555965,1.3506816410360911,1.4166384380747905,1.5168578522428249,1.7662844162590865,1.6331595431400674,1.657002527689223,1.3910264894956432,1.3668541518398376,1.8225474580570007,1.7119947611342785,1.7404195568232514,1.8035999687826016,1.1336053453779364,1.07896042781574,0.5040091500426255,0.4270808484216684,0.5247759392440583,1.21217319771904,1.2200664992944854,2.2604174674218247,1.1717810537027231,0.9795414285915969,1.6246564606367495,1.0117325692589771,0.6174887588412465,0.9130467891086911,1.6527877683988619,3.430006354174205,5.062963215176411,5.557810243642709],[0.43227542161876226,0.43439834727368193,0.5300016813687125,0.5132683253730077,0.4509020387551307,0.4076561571997898,0.300055720346152,0.4713277864035176,0.3042324837191044,0.3223082190503581,0.4084099490726091,0.5264598549100159,0.4266323064104433,0.37980520256154754,0.5944207571733395,0.5300406694394123,0.48650786286029113,0.5341263526301017,0.5303747625700964,0.5561043056775281,0.5582972042927715,0.6280390062698522,0.6646376825615075,0.7806415505931188,0.6724918217404015,0.5699297385410996,0.48439497227595363,0.4866981511868798,0.5146765639513637,0.555706090992797,0.5737994455928476,0.625463345071875,0.6496184895536427,0.6284509384624142,0.6143656811892685,0.5433480228104062,0.6123524303830269,0.5426765996117148,0.4791635690803802,0.5397634287385215,0.7814126697125148,0.5876928419994267,0.5536410063465439,0.6733337452418622,0.6679833163654294,1.1449059520949438,0.9139495050562442,1.0492700831423023,2.2205808964451035,2.213691356813465,1.0088321310852237,1.7128244055433905,0.8185464977383169,0.6406416682140504,1.0048314410514227,0.6925990392609199,0.6714388147559421,0.6273581852639014,0.7674952558970871,0.8649002968839067,0.6763090101287154,0.886414786427775,0.9422403067935163,0.8788672137186957,0.6466405362281712,0.6862865195074236,0.781200660659056,0.6446262755642512,0.7059511914891594,0.7253820457929157,0.8943477267803679,1.1327793657825054,0.8972637225696334,0.8496565317306652,0.7442578447767716,1.1816692969775284,0.6772200793621413,0.6481193634398198,0.6200055184286553,0.6523876144866985,0.7128071838301043,0.6777873682265002,0.8983850635891781,0.6949777267641997,0.6727543201853948,0.6083403381226389,0.5616605925107628,0.7127004875558625,0.5820513253383829,0.720939674764077,0.6440070509043301,0.7696175854995125,0.6837208294995782,0.6631773074180426,0.6150299017608609,0.6919791710990374,0.7157061779238709,0.632073055698077,0.6467428657310925,0.8405359173490291,0.7011287619765938,0.7434319351123997,0.6611964867312418,0.7127817919605437,0.8439061947657408,0.6476826049107457,0.8815370891082027,0.5763786883807853,0.5734307448848717,0.7664492546054241,0.47114820217508824,0.42499250260723337,0.38946498623810916,0.4116576350459453,0.4028886669018356,0.4151275122634774,0.4217829844524921,0.40571369334773133,0.45589135493296973,0.561580890835411,0.48401342826639776,0.4546883849930063,0.4019261477283866,0.3795756123766726,0.3665773371225132,0.3483347710267106,0.5079412768671161,0.43559547057445236,0.3876463826774554,0.5508543907550765,0.43070941828733916,0.5410914547892879,0.4610066699616265,0.7879962595783664,0.4906929173577702,0.533917487361156,0.9630105773427358,0.493552384540875,0.5025581329018556,0.4973415438124277,0.5824197039420588,0.4567456017268349,0.4432826851118178,0.4064423109777935,0.4295283653017799,0.48084040285920104,0.41851952922942864,0.4948337346952245,0.482755971373305,0.47776224669609374,0.5996737298547321,0.6270179467712058,1.0422605197511992,1.816259439345942,0.997002730355148,0.762404392827471,0.657488347190423,0.6592261062544338,0.5814253279488087,0.6417269709298381,0.48649364319698324,0.5239735553690364,0.4621399278828872,0.5255957285037696,0.7693900320708016,0.655486580907939,0.9070146396125769,1.0938417224434211,1.4057411562198472,1.4015555516040157,1.3521378431215376,0.9076511255703859,0.9056001841565389,0.5018649188975841,0.54248707092637,0.6803347482578332,0.635957793130166,0.9214751492149672,0.6725207227801782,0.7900405949785311,0.6116227496308159,0.5730565288730164,0.5361511315291885,0.5250541760864997,0.5083199454927111,0.5776707008017404,0.577790443897984,0.7205112838703427,1.9549465999374873,1.358213109356838,1.090599680256957,1.346498662756345,0.8475310291711405,0.7397291591642983,0.515246090965651,0.5392873689104056,0.8764557135986961,0.47579849950200354,0.5129638393155823,0.5354086783009645,0.5613382992896107,0.6496089290061501,0.5337704376654854,0.6035674082145173,0.6272120909094336,0.6112213397442333,0.9483424002040454,0.7605051333959542,0.7695474719030221,0.8020025904314257,0.9787747946288907,0.8625827772421123,0.8558895637853111,1.1187066518712236,1.2495416708283527,1.2865090260289425,1.11949164582921,1.3117152376712242,1.034930347317912,0.8778176310218241,0.8284766009399869,1.8015339052595978,0.9690098101432074,1.6436807470947212,0.9533217080148807,1.161633424782874,1.1633113536915103,1.1083986820934197,0.8521315888856079,0.6622048540369989,0.7469761321844821,0.7482010023190327,0.8430451178415481,0.6530899547380167,1.0319097436825453,0.7008770741427341,0.7303544235153561,0.7785643222846848,0.6004884375337369,0.6030582639481905,0.8477787376928986,0.9342709680826453,1.3764968624202607,1.5226246225028714,1.7222592228257874,1.3095639193929443,1.1717918416586395,1.5151593423713203,1.270555203538307,1.031622980418286,1.3569150175980529,1.4265354500569754,1.0073604503618476,1.09385596441255,1.3332013826883613,1.1626460412542499,0.9622316613338547,1.0621668375488884,0.9021136898868417,0.9648458987414319,1.003257461998712,0.9738527705573421,0.8092359745126504,0.7172719152231204,0.7239645536012993,0.7202083964961082,0.7994978746149147,0.6869582704594485,0.6791814339145078,0.9991884963169972,1.0076016303727595,0.7980183744244049,0.9172309601575173,1.123225270411605,1.2478254215983853,1.2995153892579658,1.383676468916155,1.6459511269574718,1.5172662025805987,1.5464886117246444,1.3237741088326922,1.3237054031781184,1.7129088296513149,1.6146843158031965,1.6220616695705126,1.6954901079461988,1.0802760794942323,1.0699409868158702,0.5245531973536623,0.4656533590565403,0.5961625973825312,1.2251678434435074,1.2580357437586307,2.2478751766328435,1.0794668791507616,0.9842671907979497,1.6048721488461593,0.9366423628885074,0.6414277761375465,0.974971015713756,1.8540231315272733,3.610737422443321,5.209690178399911,5.684849701882922],[0.403223703040777,0.4119916348234585,0.5106217680834682,0.528775462282951,0.4648550296661022,0.40360613210069196,0.2669142911807789,0.3942459248066748,0.25392037395344663,0.26537849202236413,0.35853751681605456,0.47937450840336665,0.35367108051753743,0.3273157952989597,0.5363813112174722,0.4492896671977541,0.43521854999777876,0.47202790235736175,0.46621758408064395,0.483246757527431,0.4909067351965482,0.5428962285980657,0.604252608511217,0.7348693501751155,0.6301650578928297,0.5127712567059088,0.4328851410009261,0.4285156207321673,0.447483207049585,0.48401561449295144,0.5091181349133934,0.5355115575808538,0.5639484067773769,0.551177323622221,0.5401679969247325,0.4759243584025558,0.5159480362262413,0.45933119191764116,0.40694940261594414,0.4608895655471208,0.7441290190558754,0.5120648149683308,0.4935403668231537,0.5832881912956978,0.6527707291118966,1.1379055226180712,0.9116051835413228,0.9901213325938867,2.1509444532755113,2.1615013690109923,0.9769124526486604,1.6537820369807887,0.7727154868123902,0.6103502443507149,0.9844507792571093,0.6231762597773242,0.5974250028484104,0.5639837413307116,0.7142660514584297,0.8143696976936189,0.6111377018767182,0.8273453906361663,0.8940748320894651,0.8101037924102077,0.5600897831726366,0.6274768575139636,0.7132812661593935,0.5651625479633747,0.6343415014788067,0.6382828776232966,0.8418133408270512,1.0589686558352647,0.8100441313249717,0.7559721782752632,0.6620063677209438,1.1144852388722524,0.5891991241978817,0.5692673953265718,0.545512627940129,0.574522661488465,0.6189202109467279,0.6179759893792299,0.8478393342092401,0.6288653464322512,0.5870059088715381,0.5316570183283118,0.49116164485722275,0.6338776916704885,0.512402286333256,0.6407418542909423,0.5569521110055983,0.722177361127031,0.6352659003159553,0.5884111218970469,0.5500785867247637,0.6141084236906035,0.6146075955446682,0.5627624285737209,0.5522249695789984,0.7390567423570072,0.588410406433269,0.6345241380791538,0.5429339238606726,0.6117771644940078,0.7284880983111391,0.5688899379978702,0.8047210114079818,0.46432585827832434,0.48724210053400907,0.6895448889714675,0.41961837831791404,0.35088488883678415,0.32526531633306927,0.36656720560500594,0.34324289671971353,0.3664083372286439,0.3918628609588707,0.35228624618345067,0.4182934701958081,0.49898789572599117,0.4332776923460704,0.3992265152013063,0.34929711968888594,0.3428976397173417,0.3415681841948649,0.32302096533046276,0.5093348789965267,0.3959732608758862,0.34878519670399555,0.5071945710035645,0.40604437710588076,0.4968291826865905,0.41272593752051384,0.7296309850618468,0.4366445426032022,0.4763271645209626,0.9016600260759594,0.45995678520462135,0.4833688425030089,0.4580179654985572,0.5645667913652906,0.43438175058344847,0.40228056029710973,0.35578967141101664,0.37261511056955693,0.41878745231448145,0.360080019349706,0.4192406855557487,0.406653085670286,0.41400329389191404,0.5100238038723424,0.5714726841283858,0.9139443962251951,1.6240981772674812,0.9906522443047326,0.6498148389597316,0.542425882906395,0.5410865234018105,0.47970982833816966,0.5457196962924193,0.4211407839665487,0.4500911774562322,0.3898939658983798,0.438023616852933,0.6799435958618675,0.5906233820553428,0.8363198405562352,1.0511396256729313,1.354664239423106,1.3748262429961118,1.3033299019229114,0.8521398565362646,0.8143933200420862,0.43337942740244256,0.4485209253024606,0.566948798490051,0.5301473049136053,0.8006468858690824,0.5538014181330402,0.6689547459719859,0.5011628751810365,0.4970664125130456,0.47755046585721184,0.4823258796724163,0.48254762041732613,0.5163257425869421,0.4859866393972399,0.6617005211050573,1.9412442521637352,1.281938461299044,1.1746782134930276,1.4470732415488003,0.9216536849810184,0.7737088941402137,0.49259127284314347,0.4986863654447926,0.83479222027595,0.4515186959142008,0.5172109498401167,0.5215321182726868,0.5172222569524925,0.5741893646304609,0.4983346871440265,0.5871129428407266,0.5742168468940929,0.5779852000920387,0.8910955660284853,0.7055426819350682,0.7215209385323722,0.7138732100886684,0.8645839413811139,0.7612515856988862,0.7650697300708134,0.9692363936670274,1.08965615618771,1.1328477711346285,1.0164803460530714,1.1977982017773565,0.9567135375672106,0.8111250626035739,0.7672716958650773,1.6986862831112144,0.8826783864927046,1.5039284380395,0.847219352690043,1.0400810836594225,1.040609562328596,0.9628665965984989,0.7332309006309842,0.588825553275835,0.6666470968195568,0.7162231762875764,0.816660269819324,0.6190135590989745,0.988787581919943,0.7041928864982702,0.7631270341800922,0.7982198306168686,0.6020832415792804,0.5402952391719962,0.7455826227339116,0.8418210601099071,1.2442353516062494,1.35972738013598,1.567415438541834,1.1770867303794468,1.054281993053991,1.381676896937687,1.158326203965758,0.9365669684840283,1.2445472360589567,1.3331578182330548,0.9656660794128238,1.0120126268715923,1.2366317476932158,1.1485792897444265,0.9044318236777522,0.9794717650776777,0.8268602253749867,0.8538191121391561,0.8824240178273796,0.8444764067660391,0.7058912772103473,0.6445678913506366,0.6280528118099175,0.6388244697491516,0.7435521013193529,0.6495693403591816,0.626512450511615,0.9855480594351482,0.9933211367210727,0.8031194910837668,0.9090104640180336,1.113872672195029,1.2063392170159117,1.2393246809670808,1.311993786721094,1.5631844262099401,1.4008330499615396,1.416318146782301,1.226737323249759,1.1609399283169102,1.5503597504054005,1.5086185152151215,1.5460776861625773,1.6727188432543787,1.0647046542765801,1.049140597372835,0.5335417524674387,0.4520808884345802,0.5383030118451513,1.2640422883726221,1.2537063658209104,2.2584162438021447,0.9678228572443456,0.8282457558960494,1.4825402426040641,1.0086712846013368,0.6435257787758079,0.8860828402246798,1.8904772566386554,3.6368292179811093,5.015164229533973,5.334922842127733],[0.4440875394609074,0.4430658223910433,0.5413486232052527,0.5384356859218008,0.47143260077707244,0.37608815239519255,0.23162518521948638,0.47010580550595166,0.27015005945083087,0.2679881874014638,0.32906150597628275,0.44928348117713784,0.3664142437746464,0.31486664186430274,0.4821519675510848,0.4192241435572467,0.4244047431354069,0.4236005225376679,0.42046212007953154,0.4468223730884483,0.4582377438148529,0.4989128497762131,0.5887569691914465,0.6775912268404204,0.6240065800261854,0.45477777016110943,0.387998690881392,0.3968198499533557,0.410049958997963,0.46052533758569575,0.47238406243372094,0.5270631447460841,0.5154375709643275,0.5031499877332289,0.5139178909837305,0.44417920476837625,0.5045004732561145,0.430950480581927,0.3800793416802027,0.44075214015901243,0.7574126072565582,0.4572865176060652,0.4476321324289796,0.5674587551977054,0.6474572596003573,1.2197140218998108,0.9950784281743845,0.990893237104372,2.1997952830656704,2.3324297502908085,0.9458763370253053,1.7076633896839515,0.7733000600806686,0.585740421493764,0.9944782927246132,0.603105204298621,0.5699792096549748,0.5290915594814918,0.6656356989814273,0.7605100523165137,0.574162579863076,0.7836476366047657,0.8584054888456204,0.6971831240584283,0.4920426842836035,0.5819635038415022,0.6582220258678847,0.5135472108181807,0.5810625853435655,0.5916337366485135,0.806256304776683,1.0006633010626171,0.7554686154734346,0.6822348072085361,0.6080525932322366,0.9866086869278862,0.5319146774270286,0.5175754039828148,0.5061107050154691,0.5403153170939442,0.5971157605917679,0.6158025201848144,0.7919921869318456,0.6130729168247312,0.5882783251309346,0.5319453143279844,0.4800477886991932,0.6167263949891285,0.47760241216138394,0.5932465817399623,0.5158789324034522,0.6770027372115716,0.6043347790729829,0.5502709629426744,0.5084576043374227,0.57223567183321,0.5761968822390361,0.5116384844892409,0.4993042998837676,0.6541228130153668,0.5628593921320636,0.6208582348786783,0.535298258570238,0.618289388917481,0.7141593865918275,0.6180320694556316,0.833489565684906,0.5155667744033673,0.5531079764502761,0.7092301324208807,0.4839528581256126,0.3878863072124778,0.3481427376445863,0.3655869343292764,0.3195078446252507,0.32903598567158776,0.39562532363918496,0.34113793762019134,0.37629185827175576,0.47495069666841017,0.3963847793219735,0.3714462977417372,0.3306193010308564,0.30242104803581726,0.2967226129845285,0.33565362612486965,0.48800109589150853,0.45707998331560346,0.4102593190863636,0.5306036227614218,0.45650594964418034,0.5380624938883048,0.4485426522914001,0.7093667328597669,0.46018367973320656,0.5056635801414892,0.9656031918794151,0.5020254943601626,0.48315181949957936,0.42588064601406767,0.5578135859931364,0.4159864676108853,0.3754311006391267,0.33634836292415826,0.3461912182809962,0.391800689380578,0.3468260740505978,0.4164377276999548,0.4122150983667671,0.4329361498398599,0.5578511762714357,0.5412878578014726,0.8222661378091183,1.3036299040143378,0.8033055284904745,0.5765880680602199,0.5215945727678006,0.5463429012936781,0.46956240391232135,0.5584593164459177,0.45059135273610745,0.44760194539053416,0.38495161523588456,0.44530879993249045,0.8379242213743487,0.6719254367930739,1.0029431151819737,1.2103537151839745,1.5209232403185495,1.4658063896258917,1.414831874196203,0.910600811318212,0.9247368593002706,0.5009570777152297,0.47345898370500034,0.5693909535390377,0.5219587664215664,0.7882502794449846,0.5583208943948545,0.6835781966856618,0.578522651421799,0.544076963941373,0.5201212342679115,0.5474766955582874,0.546688673579507,0.6029548800283303,0.5025717800334636,0.725065444893011,1.936058820602113,1.3596730049469699,1.138728475538977,1.3317107608698495,0.8821090788195108,0.7807108789284375,0.516908354695868,0.5495031897777912,0.8553826241396052,0.5029336163487669,0.5606713750982092,0.5569382683601497,0.5576876054613565,0.5865809404568282,0.5371356158520979,0.6287879353164852,0.5973979851933602,0.5977897529338002,0.9270952408718341,0.7286593764632616,0.7151355656881745,0.7284220394659425,0.8753104086269926,0.7567638033483947,0.7488495584390479,0.9611438048474584,1.0658185897016381,1.1120821861820265,0.9895931546089582,1.1693259978709227,0.9572061120303144,0.8157828369978799,0.7777040435380695,1.7002544042460213,0.8881819490522894,1.4756682507526744,0.837253556894474,1.0243749795149553,1.027854899320409,0.944437050778676,0.7584544360367425,0.6235708543131606,0.6857789917378297,0.7475958850903323,0.8679436107189723,0.6726259748228005,1.0094518993389694,0.7475017942039177,0.7722215290075041,0.8201366404995173,0.6435388280791172,0.577572994871872,0.7285962367143303,0.828318998086111,1.1887174772753917,1.2914367161345917,1.498994117587514,1.1625188205908212,1.0152868903257728,1.29820127764319,1.1323737634616242,0.9207283360023074,1.1883672154743683,1.2904174178258028,0.9511560842563367,0.9716478625729542,1.1756418425880024,1.1236285717077157,0.8731060502131355,0.9308452532700461,0.8010436809263891,0.8191277635517991,0.8566165336671832,0.8181450441500736,0.695601251509406,0.653230621716815,0.6393228068839887,0.6545833776977618,0.7584979273584547,0.6769080393677818,0.6522606707636391,0.9794811738028071,0.9966075097009258,0.8175436222616329,0.9171398005046663,1.1006173533699455,1.1885508575887662,1.2085386542556225,1.2594275901588632,1.5079215791944665,1.333167733858432,1.3726144450360918,1.2203398735953686,1.1770994436969604,1.5336197626950894,1.492102166198694,1.5063998530536358,1.6478056601392892,1.090928341522905,1.1040247070466553,0.5718110294468999,0.47326974863971244,0.5855143975654081,1.3018385322755923,1.2465826761949548,2.3217874465934787,1.075439385905232,0.8036569079028464,1.372609215510632,1.1018018345344496,0.6429876066229719,0.8602159985287681,1.8682579778492854,3.4070002555703156,4.379982713431326,4.485895519645544],[0.36277245182331486,0.4175019124500238,0.4980828739879736,0.5668210508476016,0.40653018479606623,0.31802446752618513,0.15417027225899257,0.35162815106587353,0.2528918364818873,0.2529444521457946,0.29197221197633727,0.40702813205776295,0.33172853045052425,0.3027841650242434,0.4298767994761332,0.3635922668282765,0.3866821150570307,0.3836534531695498,0.3877222868674101,0.3941199703231807,0.42356862840659837,0.450394831784193,0.5642944477672729,0.6517208267514107,0.6065068115320393,0.4148626346018838,0.34589957998875787,0.3342488056476329,0.34934482696293523,0.38313105532601704,0.4133981814235441,0.42516640026097713,0.42077177286273587,0.39844746243094115,0.41279803842588575,0.3616048467674542,0.39976837177259944,0.35050091158513347,0.30698087959771525,0.34588689382159316,0.6737225265832444,0.4128892892150875,0.3904792704587585,0.5180196569288176,0.6575515051464077,1.2611552589318267,1.0450076278727427,0.9514690499346452,2.1538905992514072,2.327394074649479,0.9050132715655269,1.694034162313009,0.6922413329740901,0.5418493273798725,0.9301644765847001,0.5052685094275275,0.5104406750136036,0.45163321424164055,0.5788242113747906,0.7678237016631533,0.5648129427964711,0.7107573521970791,0.7983351192534334,0.6332444803211204,0.46079991551787286,0.5606423842424275,0.5948107585694512,0.45447378207707395,0.5835445168385025,0.5725636286286667,0.8082771192175747,0.973660736997786,0.737647024063803,0.7049219510743403,0.5559827213922632,0.9644021258990848,0.45516626579513675,0.43284142454095426,0.4139677711520781,0.4348859803967987,0.4975406095954608,0.5112061815353488,0.7065174260839824,0.5091035230379665,0.5239857353694488,0.4280397269354313,0.39319700138733565,0.5135494752058278,0.38040500166071983,0.5129916219505914,0.4132729351476596,0.6011139308435287,0.5094011572867071,0.44426059653915373,0.4242038258257452,0.486017485616661,0.5051113688512255,0.43229837121224235,0.4046658389555726,0.5484055291852582,0.4566546034588831,0.5072635715427986,0.3937292790603403,0.4805660829706165,0.5737097277503516,0.49442235704827586,0.6831694923735805,0.3599500908941006,0.4135726715234318,0.6333429886260361,0.32675709946036785,0.25147145783871855,0.2354858785741164,0.290320735122583,0.27514116218472046,0.30302462561751187,0.38504231860600124,0.31317658109833174,0.370609792857814,0.42869915813344006,0.35972527896963385,0.3429721741198715,0.3123850282607181,0.2734816951064685,0.26381239138391804,0.2670617755489447,0.41518576276261504,0.3446060471493454,0.2706127306727348,0.417102227441214,0.34753811511519045,0.40512859465289747,0.3237116053578338,0.5615475078488946,0.3572585864074051,0.4428822544679745,0.9138217262797116,0.42096623413817086,0.441564900600114,0.3766172143569771,0.543266376021383,0.40736189134820533,0.34543797790007547,0.2898171886438693,0.2726769173764446,0.3144271557382128,0.27704295058171813,0.3389852059464813,0.3098865606187849,0.3597787088158899,0.4363341483933896,0.4273420424055049,0.6698809078591852,1.1858810161785522,0.7600275701869773,0.45268402322745815,0.396596193198524,0.40427393964890973,0.35487151994813626,0.43016059841965715,0.3499251109154333,0.3529435740111458,0.30365083128620174,0.3539774967954927,0.7200924060762127,0.5955259875433356,0.9386187922682275,1.1853267933666671,1.5126715902592258,1.4581215550822575,1.4003884286792532,0.8589669508780989,0.8296558075054478,0.39817796152055607,0.3616509214818442,0.4438699325064741,0.42403484907340805,0.6598016226902287,0.43268119352787937,0.5464459288808641,0.4678661270314246,0.41280560660488574,0.4143836479990005,0.4599484048086015,0.4703219043550679,0.5196775365736667,0.41426496965836695,0.6685619700851068,1.9927021193314691,1.250448349583495,1.2310029927224075,1.4394378260093772,0.9622889794974612,0.8149570841878431,0.4486172545281417,0.4681242327541725,0.7901518896141343,0.4007972504562948,0.49481221616465026,0.4685725909463463,0.40979761427164585,0.4455657431350646,0.39541814474198506,0.5049043818055439,0.44499099073342796,0.4824388298385013,0.7545145267592898,0.5595275089002472,0.6220759811594627,0.5459082985217506,0.6478894965596883,0.5891128312361723,0.6665209203382166,0.7300848556849925,0.8300784286204886,0.8751377588420548,0.86427895079376,1.0018954099119521,0.7983616128924521,0.6623995408354564,0.6431148407559781,1.504454114094868,0.7718497334758198,1.3729010962432993,0.7051973447249857,0.8261675987793021,0.85115088001856,0.7465439738530368,0.5786008921717984,0.4806051379987856,0.5508283583227301,0.6650496500635213,0.8118222555203632,0.6104446417931112,0.9609278080423383,0.7632221837197718,0.7846190653750288,0.8525799317762931,0.6080346597910101,0.42404999460978954,0.5727006628444196,0.6793744780320756,1.0786611216013913,1.1394518479308868,1.3845962131071519,1.066353663645783,0.8846232925203296,1.1636634289135555,1.0034849244892778,0.8111425780789485,1.097269475532943,1.2335513912926437,0.9166870343588742,0.9068321120954421,1.135647722952057,1.1632569344007353,0.8381716491905647,0.8683110027618388,0.6976414380417848,0.7048569703080548,0.7392083523696903,0.6778999771822701,0.5478412272532676,0.5010911534037883,0.5026966873851739,0.5201215902673555,0.6284648975687084,0.5778273346225242,0.5624973239016146,0.9235859595927055,0.9202018513320721,0.795105729573594,0.8707208550063616,1.039470125060515,1.118766737179005,1.1230561911847496,1.1971130059391408,1.4777967438326203,1.2094648433175794,1.2187156528541891,1.0501584830982045,0.9153042952854687,1.3452760338859682,1.3645820050507675,1.4372429049065498,1.6276550300340078,1.0301177164009743,1.0090297916040765,0.49478400093066643,0.3959420193206515,0.45788091251292606,1.2172382660974683,1.0811552599422096,2.1128638798405937,0.8638942362197358,0.6344552661368063,1.0548272692147114,1.1345069988997896,0.5706969570886846,0.7245396134775629,1.6417394756266748,3.0332942634897146,3.8766314219226383,3.9171790809869353],[0.3716688611670697,0.45309000869077454,0.5518098865928827,0.6213226871828851,0.40482667028617436,0.2951317443479538,0.14701035335680784,0.24251238210371667,0.27343982570725767,0.2640394295527339,0.2681473377394675,0.36230845633407005,0.313920401034332,0.30386332783972564,0.36820136123463076,0.3422381964639688,0.3544725054479756,0.3666313148464525,0.40587505648051103,0.3729144425993776,0.4099946672187012,0.430316302654159,0.5731076092040913,0.6587020751972211,0.6327295403540767,0.43158980843518185,0.36349747974608126,0.3336822285936876,0.34236849827862537,0.3356417483373834,0.3536250787194681,0.37941855602215957,0.35511574655804096,0.3487344271764548,0.35172117196818165,0.326797695639523,0.3575605661844778,0.3499002254101986,0.31937008278323326,0.33998833375649395,0.6237057242476952,0.44781860691642184,0.4311082615704143,0.5386022460674657,0.7079631285092639,1.270460678903829,1.099940332918169,0.9388831093180535,2.089937073269655,2.3184236769117392,0.9289955270586537,1.6964773105136604,0.69088281130836,0.5721372129161875,0.9156646409954424,0.4962062095112163,0.5142343922483823,0.4482557656473021,0.5268498628273264,0.84286592317277,0.5746278887777656,0.6718350319118349,0.7503940896685221,0.5869293039107009,0.4798157083873915,0.5484756519180589,0.5781495002160597,0.4307415926364711,0.5930745269431232,0.5519118954462803,0.8172936995509279,0.955163357828462,0.7124899734427202,0.6956358079906502,0.5239366058936659,0.9227021226196677,0.4300939568959528,0.38943448388691004,0.36257664692867964,0.3952070104377387,0.4600201720602797,0.47783488935069207,0.6785299462365106,0.48380596574934337,0.5544976630274505,0.39365044231563046,0.3777187023397632,0.44586492013445006,0.3470187800349148,0.4685719568134642,0.36476790733277314,0.5604204041259423,0.4757336977247265,0.37946569001136055,0.3703619898632416,0.42836064064736773,0.44637489117842616,0.37246815697683583,0.336182861846179,0.4833818372146044,0.38369616535130646,0.4177774375288592,0.3370071122523123,0.4124139061310541,0.5234917720928061,0.45547500133343316,0.5740330588173623,0.3687699925281797,0.41333385452909444,0.6321829209479796,0.32801780231541156,0.24727905227514382,0.20797044485358876,0.2852415741799131,0.2897619570543589,0.31128271791695067,0.4211319680974203,0.3225871632919555,0.37598628997858724,0.4207012084849254,0.35438748477151716,0.3512909750831974,0.31800934975106426,0.2827676174430236,0.26215057427326194,0.25597304066969406,0.3917557743840552,0.32924545287948526,0.25675123477912787,0.4003344580823618,0.3421264751049051,0.37532342104671945,0.33354517790132115,0.5208581408525966,0.3641774987561452,0.4461075468008907,0.8681625985603065,0.4061525339713722,0.44924604099978227,0.39842759115749615,0.5796533596260095,0.46212278168294557,0.3844843106143244,0.3237479161460604,0.2936875726121384,0.30586638035915165,0.2864903449640208,0.3068563559837567,0.2709635052344349,0.3088744067131501,0.37507056607418554,0.3774024552928432,0.5867064139843777,1.114874686162057,0.7599353712134306,0.3747751179179069,0.3127559418498416,0.3157472872084099,0.3143987792539268,0.35565394809872825,0.3482235007904435,0.3404096338634703,0.3028855847681869,0.35862681728540924,0.6275984305477386,0.5659606228913622,0.8798084637697439,1.1606060677848662,1.4772193787863648,1.444465914953396,1.3791999471960354,0.8302079486185094,0.7618992197384267,0.39259790498483066,0.3400128157141599,0.3852194281358687,0.3855381747969118,0.5978999208029935,0.3675537208412532,0.4837404853078567,0.4433181129190016,0.4046630795447146,0.4507498452877459,0.49906730442294267,0.5099555999416836,0.5269209427049804,0.41885692169539634,0.699346112733511,2.0996336895978094,1.168895829328892,1.4247222856050343,1.6416906229017303,1.1160889050323997,0.9144864763491362,0.5161631094862845,0.5034034759895746,0.7857906600280598,0.40949999184017416,0.4992654762091068,0.468864362513551,0.37041870194670345,0.4056555599977515,0.35516765733396577,0.43946577675560017,0.3985677003003732,0.493404524083724,0.5970486504874924,0.4689427393525919,0.628505152329457,0.565001138961672,0.5457907086001115,0.5836450644456893,0.7647944555633752,0.6967682067316341,0.718764718892122,0.6826193848894071,0.807689096605036,0.8353336850959043,0.6648832343781613,0.561592901932122,0.5452331728648937,1.2938476044779363,0.713760178817271,1.3221804860056765,0.6685786942279779,0.7147539565184974,0.7354119252404742,0.646701392442104,0.489657604257349,0.43943210696277024,0.5003503718254573,0.6803740469788485,0.8002285993345306,0.6041955068556317,0.9598703395576516,0.8230482135467744,0.8263476331869866,0.9098132269748916,0.6132598839479718,0.3890834022379919,0.509190684673726,0.6013777628370462,1.0116331192105417,1.0183522196540589,1.296835905339755,0.9867320651868481,0.7934482234616413,1.040774053835122,0.894813812368688,0.7370295380519709,1.0105504578231073,1.1610926661438832,0.9096429432603192,0.8753254925974482,1.0888570330910519,1.1992958049671318,0.8732483896065235,0.8583491137672203,0.6763573298936079,0.653132026754643,0.6722057754473973,0.6054677038424019,0.47835843129193867,0.4357495700603896,0.4509539166944256,0.4558800098210619,0.5422611057927349,0.5200343188026837,0.5406341611154758,0.8911368160298937,0.8525162593173703,0.7909013669648335,0.8556418262976662,1.0217219546646685,1.0620107302426935,1.0110121190881123,1.1267898817857909,1.3997059675137993,1.0533891422723554,1.0174481260831252,0.8499468756835222,0.6441383809917307,1.0761598590262382,1.1367676441440047,1.2884284166214073,1.5217679043785473,0.9326259437789942,0.8600412836606631,0.46470880782009083,0.3904701384957476,0.6141586802033943,1.098734187861048,0.9458434269626409,1.8639760515957913,0.5904391654057881,0.746420679812442,0.8313649565116469,1.015699621884036,0.5547116546228562,0.7108793891919228,1.4797546946239066,2.7224411559100234,3.5352748460508274,3.583834807895859],[0.34096308730114344,0.38806645392978323,0.5262952293412407,0.49429105678958996,0.377040722251707,0.22806179254195857,0.22745247957294468,0.3112803084962262,0.2931871601638232,0.27662481173193715,0.2820636216451398,0.3788945443412342,0.3329179142100754,0.3039104406913738,0.3745405133813225,0.3335153470345858,0.3506423324106959,0.3370252282351516,0.3661379533131569,0.34589062986202523,0.39197412436966633,0.42040849079157905,0.6024331418570924,0.6788512154286933,0.6665486490385288,0.4240859290333046,0.3766011011008676,0.32989616529365856,0.3349619207105139,0.33529878634786875,0.36793322768407416,0.37586455725445866,0.353016151190369,0.3510533607151445,0.35862590275776046,0.3339778109058487,0.37907723241682406,0.36620994699311626,0.34295232648670826,0.37107391454057376,0.6316081610991899,0.45737339834569213,0.44203686181343876,0.5664630519745538,0.772905435187285,1.3492380052929092,1.2243079803923864,0.9694166706227464,2.06748248038311,2.4240904477777874,0.9402682937954602,1.7454088826628014,0.708573783432622,0.5993490503276049,0.9331584245116259,0.5218855946202825,0.5264554498202025,0.4559632393649876,0.5087657495669865,0.8459458493429889,0.5743155056696482,0.6465037146423538,0.7117870301257737,0.5477200132090947,0.4699138288869563,0.5346266696670633,0.5544492492670055,0.38916330670755395,0.5571785992720093,0.5136323467427164,0.7783863571765566,0.9477999950199333,0.6736519033914434,0.6719647210817558,0.4916837625778309,0.9381236419046218,0.39018671841551295,0.37436887065476193,0.36482222128530606,0.3841506132110378,0.4672385448534244,0.4972954665312959,0.6886065070104402,0.5569857343076464,0.592345707597334,0.4207302935765133,0.39717593105341675,0.4600959201484444,0.3409055473667479,0.46152165544759166,0.36869224898709185,0.5862599077983108,0.49410389839970104,0.3893025138339061,0.37843184240139355,0.4449394336733808,0.47186582456636056,0.38993707721753557,0.3580092907233209,0.5163309621680524,0.4067498090635408,0.4576452994606516,0.3664014024973895,0.4580517607938653,0.6250288362962311,0.5243845243021621,0.6637340603725339,0.451565087907912,0.4603042525648045,0.6543068713541144,0.4002427932944491,0.3480598113781638,0.2588835286461305,0.32021176645920846,0.2948520666632665,0.3133592380084414,0.41198845296485576,0.3101762149063884,0.39567569379329937,0.3820474316925323,0.3292016549107696,0.32263175653304094,0.3037803991447116,0.2681851115329908,0.2764526607530176,0.3004046375553246,0.379659234025217,0.43865835499270595,0.3613976999296347,0.47068530723625535,0.4295664443122005,0.4517484921033806,0.45065607693033743,0.4984319502370052,0.43612202659524835,0.5610177761350339,0.9697029932199032,0.49095437532978714,0.4755985198528561,0.41895727052127185,0.6097514986431034,0.5385159706806867,0.41526515714220996,0.35098571500096226,0.31575830431115604,0.31403171907499294,0.3043659066777944,0.31426749682617605,0.30810471151485574,0.3406758810682202,0.41664443381364946,0.3772656860699099,0.5965225662248264,1.1101561617820268,0.7233074895098771,0.39339724907344314,0.3392573794524211,0.36492109356857083,0.33989829288777457,0.40651674846644836,0.3989454991076663,0.3559440623272467,0.3256316671925465,0.3821091408374031,0.6990311630799131,0.6431919642275149,1.0516580211029227,1.3700754021594195,1.7386257450727527,1.5796425584550804,1.5372810648233768,0.8824211081059509,0.8365855612349435,0.4584741955450736,0.4052016020897344,0.43025746533276704,0.41417311116507216,0.6105308558908249,0.4310107540519439,0.49851004331538873,0.5465349932226876,0.44696018875700977,0.5019364080137801,0.5725672120639218,0.5902420523146711,0.5913029455365875,0.4532420270135646,0.8630139498277457,2.1557789322299334,1.1621525994237658,1.5360004990006404,1.6512585870314278,1.2184537624674325,1.0278296403266474,0.6331290076541745,0.665153500569637,0.8433653760432221,0.5260976407511542,0.5905559256608551,0.4809401246808657,0.39975201166518165,0.3977830463213953,0.3454221873124028,0.4758691864608546,0.4478098767330308,0.5895435403379126,0.6410813696603728,0.5365417770158692,0.7595369851802799,0.7570104576261784,0.6431311855343738,0.7517834982670928,1.0406794340693224,0.8635537885874249,0.8366802661675546,0.7291695088324105,0.9150137831441265,0.906466660155329,0.7334183652970689,0.629161546472224,0.6383183418715295,1.2160546920034876,0.7471057777939926,1.2851545081325801,0.6833725055807416,0.6836524905409265,0.7123413602300654,0.6197978133272795,0.5914667697987956,0.5346484284695557,0.5646399401779592,0.8000081368212906,0.991002716334624,0.7564759909691087,0.957443463337153,1.0368050641189137,0.9983704642449528,1.0360352602510807,0.7195685217055445,0.44392488260615615,0.48249842043977087,0.5730895082663973,0.909818872080434,0.9299102075230322,1.1691616575831005,0.9853489307257929,0.7813215103833474,0.963902312862808,0.8837478914976944,0.7793282926570837,1.0896592141911468,1.2769196173218005,1.0626222138859587,1.0037654021788183,1.254501985110934,1.4165641383848895,1.0642128768213064,1.0154173351811435,0.7929892435385887,0.7274396708213609,0.7304136790296567,0.6262677977054795,0.5395752152765098,0.507023000895034,0.4885132303542494,0.5335536415937703,0.6017529136802051,0.6154427745846303,0.6713123115685644,1.041220348560705,0.9618837162892998,0.9263403375367322,0.999084449910091,1.1855767471858192,1.2263563752713738,1.1526519516242526,1.2592213042320488,1.4968794199957305,1.171802505040147,1.1150609546968286,0.9240392371639157,0.6385983835282161,1.1523628863869537,1.2789329811538381,1.4690231101343947,1.7091947743567162,1.0375142890824303,0.8433276940467938,0.4939524053298848,0.4388419946430496,0.7689039420929104,0.9418215881957889,0.7064571170550856,1.6957203847928628,0.7763757207270293,0.7989471641543785,0.6245778068237717,1.1014782351898942,0.4793128581524358,0.7460317729245127,1.068209679475285,2.1366582974318686,2.7829207147383017,2.732939052930593],[0.4843118741708973,0.547750690376593,0.8364470862815373,0.7512988209236415,0.6424499417194947,0.33819344501774773,0.2920870666667159,0.29896456938301424,0.4204945389097299,0.45620467147856825,0.4873795412563541,0.47572185821484564,0.45024060611164546,0.49694734745385577,0.5107310230299057,0.4909803737749656,0.46360805576591313,0.4957339399794782,0.5566332877563367,0.48902226268559074,0.5737339376447035,0.5439796426789159,0.7417232548166497,0.7989585588139327,0.7875507646833663,0.5645488255757503,0.5141499123458428,0.503834928839194,0.4931886044587108,0.4499347332318954,0.5317473597558225,0.4832394288639091,0.4730630030198384,0.5027168039054786,0.4870833257041656,0.47034940286641436,0.48807838451420793,0.5443968507793855,0.4918307480406545,0.551703166171379,0.6604169322925372,0.5186035167786243,0.5529509986838163,0.5623498677215654,0.92103364081198,1.3986658001445087,1.3538738659292828,0.9985501843647416,1.8774009348625254,2.3233965040106477,0.976324145170297,1.6862424125700584,0.79552707124792,0.7536499067401402,1.0456565832979512,0.6106782499036258,0.6084206566099828,0.605978971579366,0.6306501423704206,0.9502544338084445,0.694538002584841,0.7104974469556673,0.7764921759992576,0.6923097120958431,0.5781733566672715,0.6791727942422162,0.6467204985564684,0.5071191414034217,0.6677252382450033,0.610007145851528,0.8320152123182559,1.061239873562895,0.7404512154834196,0.789579235416484,0.6452359560125145,0.9467230793194532,0.4990765586776104,0.48867141758141613,0.4633539300751336,0.5122048275090297,0.552303486549537,0.617671592659788,0.7300692615724698,0.5888618002686333,0.5902095758515022,0.4736264035408792,0.5408908619488411,0.5393958353080246,0.457962638685035,0.5619441261717362,0.5033291788399542,0.6781611696036793,0.6639396172332824,0.5612826552135969,0.566023848204495,0.6186550003001897,0.714877376413558,0.5182418624378312,0.45260962355513873,0.5364128324512234,0.42109797950444,0.45507301068863537,0.4128607597367142,0.4449427372310144,0.6073012016244639,0.5393639891517109,0.5838644286320245,0.5716912851268557,0.5375411555832503,0.5960933310098112,0.4057535954358942,0.34589541251530653,0.29347358585433486,0.3334084859562035,0.41350266573894384,0.47500308794713614,0.5594747931045361,0.531805083014751,0.6923795831338277,0.4996023460637675,0.513175016859777,0.46666797412238675,0.4559245483943215,0.40022082000675063,0.3807016958119137,0.34092247196811665,0.3243776647985956,0.4116508710254608,0.39754741289783396,0.480262471551016,0.5298817637490738,0.5187155340630406,0.5569010438383365,0.5012418302263051,0.49605299313370893,0.5880579211681949,0.9360207796713342,0.5423486304061915,0.5081981222326815,0.4107925639934417,0.6832344985640689,0.7011292846118812,0.6272135319757146,0.5369225947145284,0.5102704000195772,0.4846390909095455,0.46717401547954773,0.3845863554130781,0.32230067766493775,0.36622572918076046,0.3421302198514375,0.38722923448581703,0.598963251579386,1.1194525250450715,0.850563821547691,0.432461309590075,0.38390238125397297,0.3306982410224777,0.4100473164150699,0.3934223350027132,0.4180811900427626,0.434064718994529,0.3664221647153215,0.35951961987890096,0.4949963528486065,0.5914594129122345,0.9609133605019886,1.3721043669950659,1.7806666416923085,1.6002165265174597,1.5151136012336692,0.7654528084025172,0.638325770116766,0.487337424440579,0.43208886295339,0.4518107607006815,0.4462619893410077,0.5927273844815566,0.46679980520307657,0.5437627967569144,0.5004465853282031,0.4917320597601345,0.584583794486962,0.6619144266163524,0.6948534235570724,0.6448385322147568,0.5395823649242268,0.9033553842343957,2.2379331734282135,1.0879744579452646,1.791492043291023,1.9528030789591775,1.48902463376134,1.2303970469210945,0.8280587583660343,0.8508283884106875,0.9003036106130142,0.721195110907369,0.7754041647032338,0.6497872926362906,0.6674333054098172,0.6156425774648577,0.5884601154048484,0.7617041118296677,0.7689985825793633,0.873873677361295,0.9324343240574856,0.9205539116309273,1.0383197408300642,1.166626437592002,1.1053641893522093,1.1710670880873741,1.3673689021524398,1.323862213796003,1.293360938303475,1.0883289265569653,1.2734045305934205,1.0805156597367174,1.0039328794340556,1.005289628849928,0.9619167559758613,1.2746693461583896,0.9850263092971453,1.4093808345599161,0.972884443514997,0.916021549207116,0.8807038431738461,0.8712357895146783,0.9001883303931989,0.8747263450130286,0.8027553413846702,1.0286080111910068,1.1382996172272999,0.9287547100662971,1.0750723807535096,1.278345646155992,1.213691498071766,1.2345458530286515,0.9007096116125133,0.6595862994626743,0.6933223017531597,0.7495984737571947,0.8975745326646452,0.8610940698306456,1.0663304741688655,0.9374340284969179,0.8871561347206711,0.8818209109569176,0.8230362415642232,0.8496329145088951,1.0626577416378231,1.2091559019076639,1.147713189203716,1.1219070821539228,1.2923962700539242,1.501346597508371,1.2920312500512965,1.217550125349354,1.0723909672929999,0.952540797701848,0.9134481006797495,0.8789878886030377,0.8712104897053098,0.8645665853879981,0.8087395401262719,0.8725424324314479,0.9115496669894035,0.8870956265667516,0.9477053002479731,1.167289110933575,1.0507966497018735,1.0846866458018363,1.1122052428394626,1.2491218258571786,1.2099859649068394,1.1159744213343163,1.3268664851411347,1.559760604022893,1.2451505355160029,1.1367701612672143,1.0414887676406286,0.9899734765688037,1.0946039618944876,1.0822965593542244,1.2921100763829232,1.478054049342367,1.0308014429109233,0.7960699732996448,0.6684422266553833,0.6406409192081374,1.2129281614249914,0.7839718309234741,0.5851671507584043,1.4378942139303648,0.5572106691202982,1.1168188169260962,0.5916946856431694,1.0078155447860062,0.5627432533513059,0.9159738337714666,1.0730144419582766,1.9798147464949696,2.694759632643169,2.6840291166486523],[0.4767128008601617,0.4741072889709247,0.6634746416171554,0.5481039416528619,0.5034312626718207,0.3509941290233315,0.3469346732468515,0.37010931926118584,0.4016509879236998,0.3712418912912272,0.3967424046946061,0.46485884671196004,0.3978896995771541,0.38774285225508676,0.4184440676137952,0.3931086146906789,0.41492130468225474,0.39049954672660153,0.4295240160048095,0.3978725076952017,0.4835570297748143,0.49223586670875225,0.6825973154481553,0.7739372092132395,0.7760951738968054,0.5252785860984427,0.4683025895384977,0.3829143564219049,0.3620309768214968,0.37508991073783104,0.4561775205363885,0.42657412578234677,0.42415608050096193,0.4104100139142356,0.4051394244295318,0.38710910539121035,0.405715006617076,0.421033122913788,0.41099612921928075,0.4994496768094171,0.7071673107857372,0.4656353652764601,0.4656141995634548,0.6020357979139943,0.8645386359038325,1.3929917108759409,1.3574287405612822,0.9939088413745248,1.9339406385315197,2.3724300161935554,1.0052540891139912,1.776237654218918,0.7774355685509265,0.7223788522540971,0.929277864976532,0.5777664218448592,0.6145254378941932,0.5004356332240277,0.5468942908810174,0.988261604702057,0.6220907753759316,0.6234720676091591,0.6815450922764539,0.5826126411519859,0.5017739096730336,0.5819485698682109,0.6127391658925432,0.40902705091441877,0.6050186248525163,0.5910833507156575,0.8070568397994374,1.0127072857954786,0.7361808369137478,0.77307586114644,0.5648117794827333,1.0488258987407422,0.4248062216769753,0.41796709153265477,0.4056157479178741,0.41658510705783397,0.45860038907655215,0.5252192068056772,0.6820434444719649,0.5821429770787706,0.6077475854971179,0.42093504462382364,0.43426095636889434,0.4999689726746005,0.38746759414828735,0.4888500002855735,0.41961022531855113,0.6843623432985011,0.606663958727803,0.47338708437760874,0.46594261701679107,0.5461853657071944,0.5742864595403782,0.4733984031342076,0.43574101144624067,0.5531254763717746,0.4396838073183172,0.5302388571217012,0.437575943518823,0.4966631653300668,0.6927199645928183,0.5320267507721002,0.626257344482787,0.5737674262351502,0.5544675968527139,0.6521958679904761,0.47216392786998873,0.40005408908909207,0.3429131706984618,0.37573416511139884,0.36387351911633825,0.3791961948462632,0.43883829012332465,0.41940335176781984,0.5394891211641961,0.4516998252657156,0.4240262997333004,0.4232838011210697,0.38544793370806385,0.3298155378204631,0.3400837481139151,0.39842473762915287,0.4338339948093602,0.4654263437497969,0.43586331915089277,0.5145399611969622,0.580714135493636,0.5677512963813475,0.6476445483872854,0.5450033261714332,0.5746356250703679,0.634799429777179,0.9773008526996138,0.6036611070028455,0.5569344963173111,0.4697983933308766,0.7044844708838467,0.727091427285504,0.5589626143979977,0.48427823610973014,0.4552571210291807,0.4024638997750131,0.389685644057229,0.360675929674403,0.3585952618577516,0.4115771525146659,0.4451012535952406,0.43155816156199844,0.6043293387708123,1.1522391597180401,0.7716036354013128,0.44484303618340115,0.40751847270159075,0.4101485417301039,0.4218874833641917,0.43734660492164673,0.42001046161520716,0.4076494279508948,0.4054266690779065,0.4117029345674868,0.5903656585079399,0.6648146316331298,1.0056154005571416,1.388729688456635,1.783173001856373,1.5575178571478672,1.5123290145249508,0.7893370131736234,0.722161953994265,0.4869887730951438,0.44832734135174107,0.44442116936601256,0.4551606681440568,0.5859588930872482,0.46858433847844516,0.4990693754530776,0.5246549601728565,0.5011785489222337,0.6264838059581874,0.7241653900824887,0.761262541525452,0.6730564392552963,0.549666217368611,0.9554379298140684,2.2445631273068214,1.1151266184364355,1.813038887244267,1.8833898441669519,1.4925833980629848,1.2783871271255536,0.9210256387656559,0.9873445694664567,1.005978322454306,0.7523601953531123,0.7994152574641261,0.6304517726449834,0.5832298938557962,0.5334996214388356,0.4919548769900624,0.6248961182050567,0.6238811670879928,0.776721288262359,0.7458533740458527,0.732807287049073,0.9673837579360949,1.0908843060426021,0.9571876014190139,1.0886348921353595,1.4058406088988709,1.238541031776354,1.2127231735459996,0.9810204147750724,1.1851012501561167,1.0499180283025953,0.9026904952762976,0.8668817487611906,0.8860885783178478,1.180591354514727,0.9624525827675068,1.3334484133885418,0.8587187507232226,0.7807390495812336,0.7635403025055923,0.784504284844219,0.8575586664283804,0.7813240023768886,0.8033178741379847,1.0969006074295526,1.2448244034494744,1.0139114444933919,1.1413417250150475,1.4079583621260687,1.3127768580247974,1.3337936551136378,0.9554944771630725,0.6379916356699348,0.6485216508567314,0.6677571148891113,0.9140685554595904,0.8734715738348187,1.0957032438820649,1.01854117872935,0.7620638102311112,0.8686258443576463,0.8308472219165105,0.8391916188613561,1.1512200057228739,1.3513221664016686,1.2102073941796323,1.1590935948624785,1.4196472282279928,1.640676782924735,1.3140876839421733,1.2385440781734922,1.0075663161043842,0.8836651731263928,0.8411651388596797,0.7443378860118816,0.7464762078288185,0.7236528718346682,0.6869307842002966,0.7689282640308334,0.8119679633467765,0.8290275964240662,0.9464590558841166,1.284586519540849,1.1322745596550563,1.1865493006508716,1.2854621118096619,1.412792318820933,1.4004227694086775,1.2721942103092654,1.4373645782725448,1.6274283505247926,1.314934301194899,1.176413037639427,0.9889462223170495,0.8350790139088929,1.079894376586744,1.1873639060542385,1.508225941912598,1.7326458947439718,1.0799432747131632,0.7519478424963217,0.6119883169325187,0.5410704078700155,1.0720555345127558,0.8266788655185603,0.6098621354135568,1.5655778227967991,0.7518146481904326,0.9729506579390715,0.5679982271835916,1.0805145297527834,0.5077633931690215,0.8465304344106611,0.9360695974293174,1.805433389425685,2.5712505313466933,2.629008279182585],[0.5432344236106234,0.5200096413175103,0.6882845856290589,0.4964930891355974,0.49861897397785765,0.35737706964507426,0.29907568423697733,0.3191544657976841,0.3586246157335895,0.2981549610035092,0.32963895083832695,0.4047841408440816,0.3183454922519099,0.31834470752262073,0.35523189283065737,0.3308432245505406,0.34677293553130945,0.3438754183289042,0.42984641144368835,0.3761923251279852,0.4493419254260622,0.47319025492523653,0.7305152147737815,0.8070595048726688,0.8206350567059565,0.5440323009629899,0.49410576320052413,0.38669005406224033,0.3543916384357061,0.32931872481187147,0.3871748348316428,0.37733472313128874,0.3718958930539216,0.3567458650014611,0.34751976846328814,0.33663195534479384,0.37552992832879517,0.4449994283412846,0.4450836164580749,0.5597074726987152,0.6804019795074766,0.5139108573277872,0.5265948594471074,0.6749756701995381,0.9119397055776245,1.400639967916509,1.4208568506917485,1.015337662560469,1.8812269255046266,2.3958638413065154,1.0655661148821454,1.7640799493641248,0.8173529895966672,0.7771095538151842,0.9836645117285503,0.635865904878824,0.6418190073084874,0.5545980563673139,0.5749116456097704,1.068518671758891,0.6482597483533362,0.5917383507531689,0.6359781526595323,0.6022369467199863,0.5315240753402037,0.5478446431879641,0.5805009758193239,0.368625183031618,0.5663222580342652,0.5470996656647841,0.7653292913420621,0.9952230447795757,0.6936244279154666,0.7530247343872017,0.5252563754377506,0.9645100886875805,0.38906878931425143,0.35127929668968777,0.3409715824242536,0.41155081800073573,0.4627331144254324,0.5278132160628475,0.6877302688090267,0.621063790957608,0.6352523246540791,0.412458759018929,0.43911749428883384,0.45005230076683816,0.34607830334913636,0.44054030594444793,0.3564051027670181,0.6096243333997063,0.527732665942473,0.4200614716078494,0.4163769707089932,0.5014765615317333,0.5460882037582506,0.41396817387984114,0.36717751269403986,0.5173822352010913,0.37700144355819837,0.4713801482382023,0.3770569424776838,0.43840184030535906,0.6696844633057006,0.5227222184409233,0.6082309882594638,0.593602642991168,0.5553431623390334,0.6056475464181053,0.4333729126533311,0.356538010122787,0.26746295778733753,0.3176719004938284,0.3017794177368759,0.3568388612842267,0.44275895752715466,0.4640383182034653,0.5903175467215593,0.3764608212570274,0.3914260081864784,0.35884708003997534,0.3750743049724084,0.2724737003132974,0.2670034302430738,0.36270813437438765,0.39842199572084813,0.460224154107621,0.4410131544987786,0.5032425601725034,0.6001815493441239,0.6005841480506261,0.6894325109991127,0.5464036727392203,0.5914529832393509,0.6476168768386562,0.9680154792956823,0.6477732959605619,0.5922701747989635,0.511984029221884,0.7638415039671732,0.8273688240038517,0.60959329560787,0.5271688713334841,0.4979060299202353,0.4055249931223528,0.3898820356856581,0.29373222977544433,0.2867172497939141,0.3308350855733161,0.3776901016613712,0.3853304904500351,0.578181809295431,1.1780620282115377,0.81063414590431,0.4078026190540351,0.33711341129292416,0.3393068275775337,0.347582937507904,0.38070182394492685,0.40561075731332474,0.3846708071753697,0.41989684260102195,0.43021748667229315,0.618116473187021,0.6976894985815653,1.0700314574108902,1.5155371600627114,1.901506894649928,1.6141820846234152,1.5452548449116155,0.8120470042976334,0.7180538402904396,0.5137108848194135,0.4261871309855652,0.42224182773510704,0.41274543425071153,0.5702163718773212,0.4516787140482072,0.5202611587790131,0.5549513978335545,0.5035795090496558,0.6563541063728556,0.7647827416429109,0.798150365826701,0.7074604168329788,0.6343825831027796,1.0328123412011192,2.3059339055535597,1.1328769937528669,1.941458454987144,1.9697236640253621,1.6151433677052813,1.3736411588163107,1.0063851987349068,1.0769247191460665,1.0167694309385493,0.837547437657281,0.8611109213260248,0.6541366554303573,0.6448223859600292,0.5713331441223094,0.5205797109432574,0.6709806467998999,0.6999600578061216,0.8676119209774737,0.793052811689452,0.8327270673962739,1.0898138860471056,1.2642873017055227,1.138542320027176,1.2928377593079257,1.6251648379879504,1.4688837283176035,1.451341491078758,1.110055199734188,1.3371262621930529,1.0667670129135607,0.9539477361208166,0.9660130458429576,0.9659570440851097,1.1868760634513955,1.0416878424551639,1.352007221527965,0.9316238733556182,0.8605305639474522,0.8271222500657462,0.876742280290614,0.9648654731759168,0.8746316120688403,0.8942526705594933,1.206744422144276,1.3459611455426732,1.0945682333156186,1.1934072142916856,1.5602087169428869,1.4159511888603307,1.4061004086412197,1.0121337906094863,0.7096973991065261,0.732201533641511,0.7186220850781406,0.8985066378866043,0.8724685403755446,1.0498871324573689,1.011040338626825,0.8190731787549683,0.8645565226295906,0.8564132779485352,0.8957016898524995,1.2093437250555132,1.4064724630761751,1.3043287470798044,1.2701339716682554,1.5411553109408629,1.7881243995238036,1.4857429400754587,1.4044720877519055,1.1547038453572172,1.0041419995508674,0.9278637262099939,0.8297855025606524,0.8569560635176533,0.8251446189850213,0.7662285523931063,0.8545622166678063,0.8802912759341052,0.8911019457400717,1.0283454305050446,1.3580443561566795,1.1623088879392212,1.2529812546313452,1.3735201002815272,1.5108519854677585,1.4526806040134563,1.2866257828493863,1.4972462602358947,1.614784166281756,1.3205373287332802,1.1418951605472214,0.9749311781699153,0.9772323426307574,1.037754757549376,1.0791215698910162,1.443771993120773,1.663437399281744,1.0681164384349293,0.7024256276934999,0.6292874548627403,0.5581999665692955,1.1603068829571903,0.755306679333376,0.5581054059960339,1.483286884237452,0.7554135636165412,1.0383673498567514,0.5385708332179724,1.081258267435906,0.49120946948647903,0.8709906217358256,0.9236542799328485,1.594652293289358,2.453234481515278,2.636003416205315],[0.483142806146891,0.541136132197818,0.6333742301556663,0.526971326710406,0.5482837251472645,0.47581146158025855,0.4683942803103807,0.5080123786600469,0.5079442193810741,0.4315242262889188,0.472276686133826,0.5383532471176098,0.4574174275690309,0.4504021782982157,0.48184122789844647,0.4602518065100025,0.48807808319481094,0.46481210068570084,0.506700464312042,0.47831107013537216,0.5560489414249516,0.555521691069783,0.7546776582871727,0.8733110267919423,0.8185486698589091,0.6093064590548667,0.5691986809673368,0.4585339249921651,0.4239490772961464,0.4709798464771894,0.5168197608888354,0.504616343122403,0.5291592001551736,0.49442920781176364,0.48304797398006444,0.4713408166484092,0.45761607163849105,0.47455549172981043,0.4961056250932131,0.5873894730085494,0.7621343814133693,0.5676276836490001,0.5629111100030951,0.7195576022903076,0.9463639106749557,1.3997671302564514,1.4377210572169001,1.0242769604502524,1.8523854640354978,2.3262789775847015,1.0697930533151705,1.7784200600027396,0.8402748055991894,0.8139395767319629,0.9677733367631831,0.6762071460932052,0.7103932041475612,0.5989706887930198,0.6291985868670112,1.1160784507048969,0.6981782691967159,0.65578198102095,0.7080460817182147,0.715114536830788,0.6040159650371082,0.6370868913928527,0.6881873731971392,0.47135976740435465,0.6585365461433776,0.657161066637324,0.8106092447724064,1.0395865528361297,0.7960104710809603,0.8376589837131289,0.632087975441976,1.220317789548589,0.49924237582281106,0.49783755531068735,0.4771595180762086,0.514403693343155,0.5280260525160607,0.5572683289873337,0.7208602796758539,0.6460798611129013,0.6734889955995519,0.4757332145109384,0.49367359337683125,0.5271821322925379,0.47893865200042174,0.5322021795981524,0.4960541634051331,0.7719447229165457,0.6606023316598816,0.558717722920082,0.5454798511433208,0.6375475821668162,0.6472128597462484,0.548046514352064,0.525589846127755,0.6634000173645721,0.5511996191257525,0.6370983355625823,0.518115963572139,0.5498714601450982,0.7543731112102195,0.5625042832793514,0.6564385446298617,0.6201412176531903,0.608520269870109,0.6982473382873964,0.5282902167487689,0.4628372502385506,0.4311964771903279,0.4412766933808744,0.44036422686881294,0.4439517362724508,0.48695618641290667,0.5200455084993529,0.6638068232346191,0.49599608172822934,0.4941651484272454,0.4811452014963023,0.4537456830236459,0.3992811873657759,0.41410911070323586,0.4493410649330606,0.5332553704653539,0.5202820059048409,0.4974632646827607,0.5685591657061658,0.6159026773783945,0.6185721044398957,0.7130341632091883,0.5860833353736377,0.6162649522034824,0.6990629775112566,0.9671600695021467,0.6750559631054012,0.6146151144228198,0.5521984889047111,0.7773283293929111,0.8895130135655104,0.6554912273870961,0.5699321753241926,0.5461759104179172,0.4745269916308028,0.46262640215480477,0.42336251887143517,0.43021752163567417,0.4995439152479324,0.5522168649563657,0.5717600379443647,0.7424051747588372,1.3081697611580068,0.8884450786264978,0.5845187850894422,0.5296368379501278,0.526607701548474,0.49167696220878304,0.4906410385042409,0.4750453303180846,0.467188211564204,0.48039472455235205,0.49226827833926246,0.6196244285758884,0.7036155207888883,1.0354045668872167,1.4562946276668516,1.847920123198881,1.5598945419071129,1.5221360198751264,0.8241386052206215,0.7548107303779185,0.538208201538478,0.48545710412703563,0.5140833702658006,0.5404450126388868,0.6616607890064475,0.5259365000278841,0.5421957911823726,0.5749421713787044,0.5313011210700432,0.6675704415633601,0.7729343280610161,0.8058193209111595,0.7122908493554905,0.6527283646847695,1.0596797381376593,2.3660694018520303,1.1494436817119678,2.013842438775597,2.0235219739834287,1.6466854972765412,1.394309122125243,1.0410319767825176,1.1289214711424063,1.0420990464867914,0.8629496320352879,0.885756775230115,0.6675479880427114,0.6511329437558192,0.6200885551263451,0.5614964762550338,0.6816067235229533,0.7282733969369132,0.9204425483911779,0.7842431975905152,0.8433950052292667,1.180525876399388,1.3213504591739007,1.1591205146538228,1.376343859844549,1.760430883566779,1.4962844138669635,1.5339833509632577,1.1315910846386898,1.4165832948145038,1.1650335471662312,1.0091581620479106,1.0305375811271416,1.0571996422304808,1.2668590032870652,1.1269803220573,1.3892896241856696,0.9555356145566692,0.8904722208103814,0.8475509945706318,0.9021156128003448,1.0368755384873558,0.9158065400894416,0.9423435479572787,1.309940126646856,1.4732729154901383,1.1852351732285569,1.2473655358899451,1.7240823069438318,1.546214486655626,1.4837365425442994,1.0654699153091418,0.7270301313340022,0.7443167635134496,0.7375751377509215,0.9450591044969134,0.9779932503703891,1.1634494309862216,1.1155169372494502,0.8827163232570381,1.0126296058871351,0.9902279811191527,1.0115776495145037,1.4019630144616952,1.625348365006359,1.467402181672262,1.436832123214038,1.7793375214920486,2.034265308456368,1.6536418886964557,1.58759283517612,1.2672130129292407,1.1120582667955161,1.0107411097567276,0.8808183023381617,0.9287758239458066,0.8697527873840643,0.8043025846508828,0.9096518953752973,0.932274000654626,0.9417787310995737,1.1288477845388334,1.5067734429820299,1.2724269105654369,1.3603143812580902,1.5559871402737304,1.708136908808992,1.6468550080538007,1.4711579627272453,1.7523163912457391,1.8437394970197762,1.524755980287981,1.2529417291142957,1.0258429345245563,0.9784781576056898,1.072037646631435,1.183596218577106,1.5861241051369208,1.7474811709610218,1.118316839251944,0.7162103898306754,0.6445462168588001,0.6016568353596654,1.162150846938509,0.767788298804423,0.6147813190559084,1.5514389112242815,0.8421369226452808,1.0200152467255121,0.5921729794321637,1.0846053020677562,0.45302236658928485,0.725391960162804,0.8688143910955948,1.5886299162545232,2.5070207544006013,2.7996947002612296],[0.5096241559822138,0.5041016995876058,0.6312648120144341,0.5199246916766761,0.5292111143229535,0.4756641482892973,0.4001357266506667,0.429151485802621,0.42193104076815857,0.33616263240069616,0.37753406043332155,0.4432543946953237,0.36232903734970273,0.355886965959925,0.3796266442997705,0.365494531919678,0.3837239608987825,0.3825872276969589,0.48116848421366865,0.4302598832106047,0.5117869358657221,0.5331054313217702,0.7784816803349891,0.8518608743122451,0.8391729799787132,0.5795742286386993,0.527470072839368,0.44699467248560826,0.3974749741997009,0.3729140786521251,0.4105793857241357,0.39416831482150483,0.38791038260222543,0.3952852789054083,0.37929540013922247,0.38866380871474826,0.43045799589496814,0.5033365986457325,0.5151215430853184,0.6365275252374131,0.687127929417433,0.5702646499775174,0.6029101892218743,0.708526259194664,0.9414143659385235,1.3823653466138173,1.4554952595733834,0.9883596247652089,1.7433793135380105,2.384223000084089,1.0540657829398767,1.6824324934233479,0.8733996787276567,0.8276045129435785,1.0754506051527473,0.6966106278534333,0.6851012627201024,0.6254852510981902,0.6346483436432753,1.0749287637691076,0.7108547994086691,0.6244845987839972,0.6808788406307434,0.6581952971602617,0.5821318851648114,0.6006580211811867,0.621390564539711,0.42349431630231515,0.598670390254343,0.5866948413276176,0.7877301817489291,1.0220000701821488,0.7180963250593427,0.7720544502920376,0.5422544279656746,1.0192558531334825,0.4298648965229819,0.39476762033925183,0.39237414280858673,0.46771759037315064,0.5222083368813378,0.6056103905603824,0.7565848894905622,0.6851480589319475,0.6585938513443678,0.4914113367883084,0.5188109539304848,0.4831521741625727,0.3930634694801319,0.46250279039807796,0.41286318417390655,0.6660531626868555,0.563889487195328,0.45010796557847593,0.4438863288440406,0.525946485398178,0.5629594845563971,0.4341300728324979,0.3943637906365449,0.5698120240759844,0.4321773356051043,0.5445763005374822,0.4287581931598841,0.50829678057014,0.7247369365357823,0.5839030824531425,0.6818674941312086,0.6424599318881756,0.6074638829768461,0.6476595702512212,0.5131880268097428,0.44559197917891485,0.3542187369473269,0.3742390965755344,0.3656184050248315,0.4148660508432901,0.49207819413315335,0.5103977418057767,0.6464283858556142,0.41193870202941313,0.4302303461466133,0.37738082284462704,0.3960143960643624,0.3144668705042353,0.34165652215574493,0.3672032257353099,0.5428536299804636,0.4892666463787605,0.49881448485876606,0.518385823943218,0.6852538307339126,0.7125735470479504,0.820402182877988,0.614800250212107,0.6646771750729746,0.6325451537035809,0.8926479090104794,0.6697117727478896,0.5857239351046631,0.5180788780531945,0.7801953947137178,0.8996872196776833,0.6631898712348672,0.586250280715215,0.5660658730014942,0.4626188779012516,0.4594083729582823,0.36097370087079017,0.3572359867913418,0.42145825431324874,0.48623943074587234,0.47858406181502094,0.6451311494750759,1.1585504406798681,0.7841864498905703,0.4893481290600096,0.401967545557431,0.434215034537229,0.40697340401587356,0.4621045886569013,0.46457260647778026,0.45272107193737354,0.47046654770761764,0.4657196533968335,0.638101899110788,0.699757207496829,1.0851336221198602,1.5593868680814216,1.9107638551829031,1.5227892651047024,1.4468622445672867,0.745518865396195,0.6733997470302668,0.5679264448418547,0.5105908082703556,0.5080155091320799,0.4507909556023082,0.6315698865269386,0.5252965980816371,0.6195046528025515,0.629748005964336,0.5907591438033832,0.7551507223582029,0.8864123383826703,0.929552013582571,0.7925875135230823,0.6783927424595952,1.1427328252001443,2.158520178292742,1.212232388466608,1.9166022753270964,1.8113944383709606,1.6196078523962512,1.4311760721959546,1.1577490690151393,1.2783798916365126,1.1402254398891998,1.0035133465507466,0.9907440855051458,0.7284494637797428,0.7267419762147952,0.6081585159179888,0.5448846519063267,0.697981170057166,0.7363422347481734,0.9139242097356594,0.788870172882216,0.8920414372035418,1.193201946226092,1.4254982979954651,1.3061110368341287,1.502096587643043,1.8809482412360063,1.7305805689480405,1.761149248401689,1.294033763822525,1.5159906296568042,1.1887147257506085,1.0459933785053415,1.0969152815741194,1.1321679415607122,1.3326180286052454,1.2027605675945403,1.3840460584812164,1.042830718563491,0.9842396415027331,0.9126459735864983,1.0726954833334923,1.1978571026337517,1.0449620794040386,1.0896500413998962,1.5002961416680183,1.6328422854042686,1.3468791248268757,1.3961758276176794,1.9124615198132204,1.7070923252390293,1.6365296206368571,1.1809945776907198,0.8483681812229689,0.8631971225190251,0.7556063017378098,0.8724820675477981,0.9067236073178114,1.0095559880908676,1.0399241592341282,0.8364788733064804,0.863498453768974,0.8719268986531905,0.9409055716329724,1.2996359289541681,1.5099612401318911,1.4185211413389873,1.4022655273121305,1.7124633779633098,2.013539807391585,1.6808351602454616,1.5874794121705487,1.2870767910858179,1.1124557138661073,0.9922295537916525,0.8996193116904709,0.977739267453115,0.9161871148056329,0.8661692173777368,0.9971796284924126,0.9977353063555391,1.025194390801473,1.2556369845784188,1.5985853992375894,1.3407052443470113,1.4803992136108304,1.6809252131093622,1.7877305346603705,1.7156504614422474,1.504089044843955,1.7931330794530085,1.8420076861490835,1.5231775226251871,1.2275562287457504,1.0148918935728684,1.1184610090256069,1.0314833783192587,1.083455551323276,1.5760898450777,1.7283103977963108,1.1307241483899486,0.6579443401273674,0.6885791280515595,0.5584601488427269,1.1603288849097073,0.743484065440849,0.5971056129223502,1.3559273547582846,0.8440617028916577,1.1138497662567513,0.5628084321844598,1.0239874592050466,0.4555833841366039,0.7889833454255982,0.936843489009566,1.2896410876175999,2.357887154897132,2.8626584846484295],[0.5574427222011394,0.5544598226934397,0.639238026547221,0.507391407839143,0.5356174758071719,0.44792272506031816,0.3816016079741952,0.41536703517090917,0.4051165734063885,0.3377565732141288,0.3798485695318523,0.4504227529062064,0.3754983833485758,0.3718127202131511,0.40689382964472776,0.38264012796776065,0.4193301238749282,0.438727866016156,0.5805919808748714,0.5185176628665923,0.5994260005432972,0.6182764941504995,0.8675680691970286,0.927520719990164,0.9125647787165316,0.6715357180688738,0.6241550380302859,0.5271256353354485,0.46442544220507126,0.40628429642349345,0.42792888809349383,0.41577958603441684,0.4174431386431484,0.4257530593044869,0.4058767985305297,0.42640974251470565,0.4615146402252252,0.6077247486535485,0.6068531718487576,0.7399132574441227,0.7496240224207342,0.6839006072047726,0.7139496498216821,0.8554580747805345,1.0260552411519552,1.3907567514087646,1.5120181312604475,1.0358343137157593,1.705581051301807,2.346967247447317,1.162601829808458,1.6355358235936779,0.9381000320871902,0.921523433101561,1.1476817308429568,0.7828335964285167,0.7764788899896057,0.7280652450726552,0.7095080044158094,1.205730320386722,0.7982902207869139,0.6848035693324699,0.7021643514935059,0.7390373557651067,0.6797812397333634,0.6567336802582984,0.6691311011729704,0.48336083810305736,0.6669334293145499,0.6323875007215339,0.8165157810240355,1.0568069183430397,0.7620393739385829,0.8469576746339423,0.5929205676550017,1.0365867523947445,0.49482831054704446,0.43893462328798,0.43314338287032467,0.520325236677523,0.5622081556648619,0.6602128656003335,0.7733028341070548,0.7352469329515088,0.7264859789267473,0.5296186656445299,0.585579008104133,0.5176408132928433,0.4461975185608544,0.49092283778139645,0.4420396747100356,0.67920952441447,0.5904446993399602,0.47025481763013127,0.46544299324276106,0.5585840951296158,0.5888879597501101,0.45180664188605646,0.4084072058442343,0.5832324412911369,0.42777234518358115,0.5296963442991378,0.4207875226783569,0.49699004597696644,0.726151270159071,0.5975184210315434,0.6723329768686194,0.662662520057197,0.61569803829611,0.644657883590311,0.5093267156043051,0.44063910224689457,0.34077581819346503,0.38861924204569814,0.38443976515046396,0.4731400209120184,0.5490797098071027,0.6289550404874773,0.7755461918145431,0.49355445616152815,0.5320973803091986,0.4591521023012857,0.4875585056130147,0.36711392875335175,0.3553088648904167,0.40533375633474994,0.510589739476414,0.48869810366566985,0.513498458388259,0.5385963742211992,0.7415833182955425,0.7798540809912393,0.9235814263418101,0.6713462173256299,0.7465000567135706,0.6610414108330335,0.8571626326618014,0.756349827388791,0.6916760305777357,0.5829338748481144,0.8796805250012526,1.0490364237711949,0.8004835865621692,0.6903430055729614,0.6720009277318011,0.5353579436405072,0.515782538012661,0.38440667905768366,0.3527657528211522,0.39539839992385645,0.46380653634455576,0.4755816951726885,0.6580912439798325,1.204414610711789,0.8070841874180242,0.4829637442049312,0.39714519958608846,0.410998375471607,0.39749812848394217,0.4419450484539682,0.4939886130933442,0.49550436482475474,0.5486336325468554,0.5282165015699798,0.6559843132571046,0.7482586471180591,1.0240906171837802,1.496849352308054,1.7983333537897996,1.41198448709013,1.3409137651977747,0.7140317441492384,0.6412670038818871,0.6359790640889972,0.5476702542173699,0.5177872600417174,0.4589065342754905,0.620862963637387,0.5529895523159566,0.6527356268766711,0.6760107073501002,0.6400168067777835,0.8338882444939774,0.9850479327574186,1.0419980079909954,0.9061128301812787,0.8080648319436095,1.2317152569170524,2.2052776056665175,1.300524208391233,2.070535017936681,1.918593044629352,1.7505318524596416,1.5499742202202236,1.3146186933310184,1.4552636642445116,1.2509340581772688,1.0876908660513294,1.0477704369645868,0.7707661132987493,0.7574577106720572,0.6328881097118957,0.5697493700100605,0.7131623606534514,0.7655258086896876,0.9537548291657281,0.8089244369281328,0.9305795634942313,1.2698668815006051,1.4964041743004093,1.3956213045872303,1.634297979908138,2.0064895140238908,1.8253616621658588,1.9437228091793217,1.3957024794888628,1.6647371041240204,1.2164309425033737,1.086694974178976,1.1782645076768496,1.2025208680412554,1.4420760140797313,1.296346848392601,1.4271618395216066,1.0911816585564884,1.0421293373245113,0.9372248916463836,1.1554624523676942,1.2880874258561226,1.1010884821276423,1.1677335745098911,1.6301049759017734,1.7404611052060883,1.4396753516392022,1.4985346048653707,2.0679281034430725,1.8173673601943263,1.735916864173913,1.2397522411524158,0.9227506925600494,0.927713034456899,0.7780456930452879,0.8845106423429473,0.9391926499908604,1.0260281792994896,1.0591929760771766,0.8707235674732574,0.9051436555540147,0.9075732776563505,0.986568651383755,1.3835684726600364,1.6018103948914246,1.5048168576107104,1.511021384038918,1.8577449426292285,2.1625346778947026,1.8260106266205975,1.7479317158272163,1.4065990495297842,1.2015100928040083,1.0459323058722756,0.9471185135354576,1.0516348823169752,0.9714378694841558,0.9043067226586686,1.0515774516030425,1.0432695914597445,1.0515909443041016,1.3284223930982568,1.6758513234815968,1.362218336719142,1.5237812787027007,1.7813843101918456,1.8755045532163515,1.75859524041098,1.4965263123052823,1.8553296657358136,1.8176935553492495,1.5217359594324487,1.169850239977576,1.00444001948445,1.1722576504670956,1.0180779597348049,0.9988312799475851,1.4446373147589764,1.616774907519404,1.0978335057976631,0.6600324398584834,0.7189383180133545,0.5737951859744788,1.1787442432673334,0.7402660510365334,0.6206072096431486,1.3693944355928402,0.8524525546282692,1.1270770617956467,0.5869010117560285,1.032568519091769,0.4497868712598492,0.7207934363372268,0.9757283072031411,1.310545956530342,2.401213007750379,3.0329244562564335],[0.6707858752542565,0.6648553533976931,0.6853062763477895,0.504215766819165,0.5481437037624353,0.5417147103281705,0.49553310513539817,0.5734642869115465,0.5341548002953957,0.41331036872362586,0.4657283493457207,0.5829129806151395,0.4237031369823056,0.4134245163026558,0.458767251995121,0.43197146879292647,0.4169328622907986,0.3740140849112082,0.44242747636136087,0.3892605849134125,0.47526207389552616,0.4897953348835562,0.7473073925379148,0.8350556000821892,0.8067102513540548,0.5512290778716495,0.48733221189888515,0.39454058548058424,0.3431392297482764,0.40734540696774724,0.47946674909197945,0.4838695742768299,0.506263849443865,0.4594483211613953,0.44108668179039984,0.4033087828273005,0.43276954688054886,0.4294978175511793,0.4472077888039312,0.5691164427038943,0.6768064205028795,0.5203805177698717,0.5361228508174434,0.6944976047247358,0.9391494749672241,1.3892989262995008,1.4617093780081398,0.9955170250557934,1.7744908178951386,2.4000183490069333,1.0587764010433929,1.7408479605169165,0.8316127833920013,0.7761951966329634,0.9830713410859496,0.6415407203076684,0.662903760353382,0.540665847045858,0.5704259569798488,1.0654409791897306,0.6655454388444441,0.6105360450112057,0.678127668783217,0.6340091529970532,0.5380618613365473,0.5632377480716235,0.5986821818507748,0.3873073068717502,0.5923525774819355,0.5950515927384409,0.773769747241509,1.0385686624753299,0.7471268290638908,0.7884982020354344,0.5635728202707931,1.1376393445281543,0.408499224202639,0.4318339355827542,0.414901875071391,0.4496851673340207,0.48292967855304886,0.5413961160592041,0.7074964578911075,0.6592454881471096,0.6292452996130896,0.4393584306981607,0.44967811526983775,0.49744351951396404,0.39664182624454203,0.4851532191696268,0.44661664558063,0.7417219321093449,0.6427274761087473,0.5465672083375603,0.5330405637048448,0.6281306150905571,0.6390540893791241,0.5579232327930886,0.5584505145628994,0.7496449317551809,0.5930774150332602,0.7034978413248884,0.5177737866382766,0.5738756430126268,0.7735848710456431,0.5570546707245095,0.7122669985959913,0.6550797682901547,0.6458167553025812,0.740610213480305,0.5743043053650068,0.48283026545819063,0.4356037116834667,0.39635885610755694,0.3747520115224802,0.38133779659741285,0.4472452887312763,0.46984105708833795,0.6285111892057987,0.41850251298123675,0.42630748204391916,0.4087753381882797,0.3892280331066056,0.31534433237346804,0.35751678553360583,0.38585431146616966,0.638182426568498,0.5239762993612181,0.5260073584419962,0.5445417834951185,0.6522457173316659,0.6863084284604994,0.794840284246462,0.5920566623652,0.6354647496396524,0.6536699816821977,0.9471231880728064,0.6368529595648549,0.5594515106051197,0.49690961414884466,0.7515521545860987,0.8908979378926581,0.6255173671268026,0.5367789697398393,0.511661575730645,0.39937639167497,0.39676297762664464,0.3687276960012453,0.40290505506389757,0.49438935468762607,0.6125765948259606,0.6407645932399013,0.7949680463245133,1.2774214382966564,0.9206975179608552,0.6705201078924857,0.5720831783684938,0.5806481917879927,0.4971468723504136,0.49924502408372207,0.44295126033706206,0.41449949798510155,0.43345970585694027,0.4333370455203963,0.6386013677530089,0.6991961118690526,1.0956473685506465,1.5493791000258355,1.921986944914063,1.5182147429749888,1.47812138814178,0.7660076317672859,0.7208295016614996,0.5236887762778375,0.4756654724336456,0.488659930734545,0.49011304048113047,0.6414747761855496,0.5105040927453893,0.5539713375089271,0.5865785448013769,0.5334368654525484,0.6917353386649416,0.8349695827189707,0.8764856769905846,0.7411569639424522,0.6294134040824455,1.1339919463083832,2.185264362680117,1.1951298564925088,1.9215238800370682,1.7866441963877033,1.5987274801904634,1.4129960384313365,1.1443779492777226,1.2798102310788362,1.121942274324092,0.9634337064739112,0.9557483665207309,0.7060376250333744,0.7243053173250024,0.698338839069169,0.6131084525424336,0.7126048679306771,0.8249047349580237,1.0453335956877259,0.8165305388002557,0.9622085764934057,1.3921288486673868,1.556382146704321,1.4009613367479286,1.7036565851431584,2.1278686633582,1.8351196307539626,1.945213294401746,1.3450342543111555,1.689620039907245,1.243956084899667,1.1063707319774492,1.2145378598701968,1.2218486442126728,1.4638027703391177,1.3093695969884553,1.479251324751677,1.0985402814589529,1.0531621219067495,0.97133146423016,1.0823209571058185,1.2354566630220423,1.0702037352930374,1.106821632145875,1.5286922647015566,1.6971610964124895,1.3708838795605756,1.3838010300468238,1.997024990214721,1.7323031267678806,1.6120199759888139,1.1644780684700475,0.8252788708424725,0.8410403512663484,0.8051444953290974,0.96682223150919,1.1239981885787362,1.1791014244773848,1.1934884416384857,1.0385191095734527,1.1466162309855423,1.1061590768622942,1.1665620505656447,1.617372458480749,1.8407261804168102,1.6958568875127393,1.7057986694218676,2.097459667013212,2.3822843081690994,1.995100031672875,1.9363096800926998,1.5439219301995726,1.3464522807033974,1.1866188498975894,1.0294942146745605,1.1352615376884119,1.036951682374756,0.9246161248098834,1.0569560732213008,1.0571415573086052,1.0437337196774603,1.2864298723383911,1.6628871614591092,1.3801626696786145,1.4991897126987108,1.7673098626661856,1.9030994267983108,1.8287590171950545,1.6290720562908354,2.0393872738266334,2.057575958506554,1.6789125190039103,1.258837237484539,1.0307637331694623,1.1168353427570843,1.0003785737147988,1.1639251239929576,1.6419232092511105,1.7377772540799137,1.1264148936378278,0.6742244863339767,0.666891624418035,0.6008628466823749,1.1554730708641758,0.7148064569201791,0.6958656951554789,1.4015194229356625,0.95135197622586,1.1463425840948016,0.7262709694742903,1.0767642905952237,0.5488488948141218,0.7007180603798968,1.1748116153951302,1.3862087964245147,2.5603304137663336,3.327213671701336],[0.6109950740716449,0.6451135953570079,0.6638360383765755,0.5433513514750835,0.5859760279708784,0.5804078884525928,0.5640277291614617,0.6441347088178031,0.6322813941903933,0.5534796906705801,0.6054580175357117,0.6826252174006704,0.5748679113104952,0.5879566398853399,0.6431059891594888,0.6012740814187234,0.6000346801885774,0.576968723217598,0.6206932688427605,0.574971594309427,0.6427871393944116,0.6431396887630662,0.8072003065335883,0.930243161589677,0.8647790552774208,0.6775115889233049,0.6380142564969442,0.5398924208315463,0.5238360467910729,0.5860310617400541,0.6410376656163187,0.6366339858106593,0.6866679786654986,0.6513327426293605,0.6005483671342348,0.5734162290076229,0.5537529658656967,0.5450814795907142,0.5481634558516905,0.611778711004235,0.7800444785058865,0.6275369963740154,0.6157213317969308,0.7817358188356852,0.9786071562295344,1.399099152111448,1.4515131233039296,1.0389457610011876,1.8238256756325795,2.3290423381098257,1.1241621962818402,1.7704636545559624,0.8547356342821071,0.8325969386610036,0.991302473056641,0.704686130276564,0.7372952268053684,0.6701600905257108,0.692476319782858,1.1427015986517486,0.7539144431759324,0.7090498742285821,0.7612784158819642,0.7874882416776174,0.7043693586788456,0.7042337689523274,0.783149574109462,0.6016479203554903,0.7551252657991893,0.7711794826150444,0.8836047090564254,1.1103676639096456,0.8966601529524498,0.936697798288653,0.7371382767812875,1.3290375000519552,0.6278458348981738,0.6302621136758881,0.5944285064941308,0.5852658565291132,0.5849912139827003,0.5983871115580619,0.7449546830198859,0.6842805768089576,0.7086532233154912,0.5403746725442707,0.5669460405378647,0.6042191442898932,0.5797545811674336,0.6510597653574409,0.633368095638117,0.8753821631640408,0.7836874358239728,0.720641569067803,0.7018512347195657,0.799703312636534,0.7773899167337511,0.7057277199208586,0.6889080684426362,0.8350380113667494,0.6887701176870886,0.7671432841184258,0.6194552935844272,0.6498134044946545,0.8267869345699298,0.6131026683350482,0.7356432974835503,0.6705463464880714,0.6664455877510352,0.7928538723024643,0.6261595527638086,0.5470337124309499,0.526420385770232,0.5025414916520634,0.5224908547352556,0.5264486018636093,0.5638812011684885,0.5937610431633873,0.7443552322844195,0.6075099391170297,0.6068523246944529,0.5854173055892468,0.5463126810201737,0.4911459578073277,0.4974883387235527,0.4966732612888444,0.6374797390235902,0.5790368195651877,0.5502776742842571,0.6059603320063686,0.6281144862429741,0.6345847412440623,0.7430458035805315,0.5970407221317444,0.6361131628933322,0.7278843642855627,0.9870908677409437,0.6889592815716299,0.6286885858159615,0.5702923402707532,0.8138983262083223,0.9512921436322944,0.7233886756771105,0.6145559329474789,0.5954054666077825,0.5407598337293119,0.5268095087206556,0.507816874740792,0.523242359170206,0.6066382875095563,0.6823648889922116,0.7193682777354509,0.8781989016819101,1.433039627383222,1.0154503575285063,0.7516276068662008,0.6771923561541487,0.6652728262630961,0.5978613851014808,0.5772483912878057,0.5282268801523646,0.5273942527765318,0.520392043347901,0.5397679460973099,0.6461340095561826,0.7199723924788561,1.0606080989237543,1.4837456957928326,1.867626283089421,1.5409712342099602,1.514581348586973,0.8142079588300544,0.7715416322533468,0.5648640260819481,0.5435975812620469,0.5737927230168482,0.6162444833949413,0.7335213973653195,0.5850011117659408,0.5675045274117138,0.6201034062011018,0.5631006153726703,0.6784570007644355,0.7897890775950951,0.8274740596439446,0.7310675763437213,0.6602519539785594,1.121029141338497,2.3693062604275554,1.2108165375760815,2.055194928985087,1.9784721124843225,1.653139998035272,1.4195044520258122,1.1006222504917544,1.2054445626910144,1.0821835048453223,0.8952478341602913,0.9068708760559212,0.6895543796186582,0.6900280564375257,0.7000617679099029,0.6215695018114146,0.7049196340822663,0.80703156859164,1.0256074872010357,0.8180302348871804,0.9260991327867382,1.3443098868151422,1.4545204876747608,1.2857569382233196,1.580381278777531,1.9922180172510002,1.6384498578854778,1.7424339088759426,1.235758554864985,1.5830332758441052,1.2284517945878572,1.0742363274842575,1.1585188047009334,1.1735878088790548,1.3983753942354267,1.252630111166045,1.4754947366590674,1.057129574524086,1.0019629849625924,0.9341195010628383,0.9859612294018255,1.13437582115038,0.989741015484223,1.0137533710255109,1.4130875509056176,1.5919513021315563,1.2701209257925896,1.3002119048001282,1.8742560540698272,1.6443892822673865,1.5514277548802438,1.1073176879813658,0.7636878043750331,0.7780471670277966,0.7897421102596505,0.9966878636054594,1.127080954384946,1.237407972506934,1.213742743423997,1.0361809575728913,1.1831153542220814,1.131798061515751,1.1710778195473406,1.631733943879721,1.8623632058045447,1.676777671573633,1.6796059006957471,2.078824745620118,2.329569435897858,1.9216998049379639,1.880509763146257,1.488373866132006,1.3168127295485454,1.175132835083108,1.0073285507923224,1.0910740153182676,0.9953651518267554,0.8876045708604927,1.0050414524087916,1.0177483317751614,0.9993937546672335,1.2124548754972753,1.6015328869176844,1.3363518973028394,1.431991473808415,1.6824575769893348,1.8302371696292057,1.7594727031709225,1.5762462511482545,1.946574648051201,1.975880937046841,1.657673269937666,1.2764539385598355,1.0444129406093703,1.0425026872431744,1.0505113072184622,1.1973053381621415,1.612909515469458,1.7316951554728777,1.1249754827676144,0.7092251596208065,0.6580471720143184,0.6292006738289839,1.1760638833969534,0.7444150288298322,0.660256182372649,1.5493646164273405,0.9382971528377742,1.0641507349524972,0.670033856986975,1.0889836307696743,0.5088670445806455,0.6719353368595116,1.0498776272070847,1.4462907847224886,2.5206128183708527,3.099139630037208],[0.5958918816106576,0.6272271740325476,0.6493655306170673,0.4994125102265952,0.5472456015206547,0.56735470183834,0.542317272808467,0.6256137822655847,0.5818476949027798,0.4889787503129604,0.5355589574376155,0.643800914357336,0.4918446364473872,0.4887469269735379,0.5378051040986085,0.5078532083603836,0.5066110916625338,0.4580921749775105,0.47789420643052816,0.4424494406908148,0.5167190278953624,0.5144908456205124,0.727965519606023,0.8388960187636191,0.8032302079678555,0.5714123681920761,0.5126505550555139,0.42883966341780416,0.41216248614856743,0.494938199466801,0.56481243462774,0.5642477005770025,0.5902779895773983,0.5467967697664351,0.5299448557013893,0.4898650905732442,0.5050256423659631,0.4289901227534546,0.4456327872147216,0.528358065652244,0.731143955452354,0.5156373317241981,0.5081971222895291,0.6496194810030335,0.902313421878,1.387408116731514,1.4102378471506958,1.004606124183205,1.8687467016825656,2.4238948369306814,1.0444203650384172,1.8045705827789147,0.822317052006442,0.7584918387095261,0.9351315406286926,0.6208094576609174,0.6619079396156262,0.5217018201279358,0.5773422171468616,1.0198868685908993,0.6472063342839186,0.6526796003560886,0.7401871707407358,0.6644650244170553,0.5552707115504528,0.6124302392280023,0.6600960047200002,0.4514006549085497,0.641885163111158,0.6419856996316511,0.8099407940572934,1.0576303274097787,0.7912712238345689,0.8081040150100016,0.6271594057439774,1.2059773042698363,0.4799726145408443,0.514136790905068,0.5018872414237696,0.5123736533581156,0.5373023018822031,0.5558858956122201,0.7330285104178851,0.6704003982380741,0.6506629145124996,0.48835348454951655,0.4819726314751658,0.5782761322098062,0.4840915037752431,0.5701317175339874,0.5275900827949592,0.8001566081367761,0.6995645764992027,0.6203365669864435,0.6048925496942275,0.6852257871193828,0.6840723785883425,0.6330498783864561,0.6353495163420746,0.8043652768520876,0.6751670407681427,0.7494441001171751,0.5944600629640391,0.6278498337909839,0.7889366764262915,0.5664773137836966,0.7497184141095641,0.6651605438576966,0.6667803283099845,0.7906421584369012,0.6129683010748566,0.5287975426683369,0.49909703111099396,0.453055581792805,0.4567626738301265,0.4303377939802742,0.48762391488401097,0.46721137065599294,0.607031970317306,0.4783455741777531,0.46966610687339405,0.468356275400883,0.4341567189148902,0.38616108680856825,0.42316940436299394,0.4474370128363545,0.6650827875080718,0.5679036149928927,0.5465262108188242,0.5873662996885768,0.6082568763428586,0.6252712705514223,0.7042791108804868,0.5756620546195573,0.5922001600765816,0.6830877101130123,1.0244822214112235,0.6132576970444249,0.550462171841332,0.511710423731851,0.7386142019109896,0.8035345322356662,0.5909800458045981,0.5201637752194399,0.49448171248145883,0.43808974517195876,0.4337044061126424,0.4503688929460838,0.48544212135052395,0.5670431174735964,0.6672759577581939,0.6942423056876709,0.8367452590136168,1.2978899467761167,0.9444988631961189,0.7254191084469268,0.6447952910813894,0.6459970644184017,0.5733682280877975,0.5624234588051258,0.48595411530809784,0.4626637375397197,0.451382540502577,0.4718483582176744,0.6861940657095617,0.7072937987761434,1.1398986671854454,1.5546057394335826,1.9682192709011763,1.60753800768879,1.5729808994629253,0.841030395754253,0.8067466817060034,0.5150740715361741,0.4987478593286283,0.5326765175322278,0.5738525833740664,0.7050290279850183,0.553643094358303,0.5560569387065636,0.5846761664195509,0.5223830909520156,0.6312278507610523,0.7493079133892163,0.7784673443101958,0.6633660906760158,0.563705529367197,1.071207486744361,2.214936665066439,1.176494636934417,1.8342335353004076,1.7562192398721241,1.5013068520827744,1.3215808386288854,1.0062871081800435,1.1130214044385212,1.0383214553260482,0.8588050740421131,0.8935428149733087,0.6763196152690104,0.6845469856787312,0.6948236370543264,0.6076776561648755,0.6997683386307549,0.7943628305368313,1.0045040793162525,0.7945835362875103,0.9022203147112503,1.3195055507180027,1.4314227998233797,1.2405569136193912,1.534171912695961,1.984639130906262,1.6326033575701817,1.6772530879066467,1.1888393703632565,1.5156909016058202,1.2687666141695513,1.0734082913105962,1.115500528420304,1.15104566054959,1.3414430539049012,1.2201209674772813,1.4726619628214406,1.041416228753983,0.9868602599631255,0.9365218664949524,0.9621926013332042,1.1100243662041718,0.9776955099822852,0.9953914653943995,1.3563809779098186,1.5633022314849236,1.2522217443655999,1.2640817695210114,1.7937973995785121,1.593583196202199,1.5025461529860995,1.101337637356309,0.7492101150783878,0.7652617491630959,0.79725248658036,1.009198115269478,1.1436013232372684,1.2461485935775483,1.2326036852571014,1.0438982415148248,1.1864985694846564,1.1376493872263704,1.165044289053343,1.6131265060344566,1.8403276086847826,1.661696386181531,1.6486203628678895,2.037171293301325,2.2994926640846844,1.8794944259168698,1.821236443654711,1.4438171207711012,1.2835311216511374,1.1613806544893985,0.9956068528522155,1.057633427336001,0.9703238010809527,0.879237728634419,0.9926480759207245,1.010599864743218,1.0101269637815988,1.200078575806358,1.6072457894430099,1.378334220031316,1.4405671344348168,1.6615527251018274,1.8275936527044363,1.8133025636703133,1.6852669925808996,2.0148228424437016,2.1228826998405967,1.7635412782152744,1.442303023017778,1.1096017679581516,1.0140980011598024,1.2117290659538287,1.3992859769375592,1.8339212654634411,1.8978344376042755,1.201019261579998,0.7504529029929391,0.6554827373006813,0.6086417150992689,1.0955783711728073,0.7276327503198099,0.6654561947650404,1.476314404030077,0.9783696381244217,1.0621282758557185,0.6808047464512511,1.0856667547027872,0.5133910984023234,0.6678472384326231,1.0553752742098403,1.3443613431989345,2.444598577202891,3.0382563620449963],[0.5154955978008305,0.6836419434182149,0.6804705106383468,0.6287023541920091,0.6727719908948321,0.6537981941578979,0.6422035951724022,0.6840053034101037,0.5788430596898134,0.5068659925472679,0.5134808597214371,0.6126949890561285,0.528731827790553,0.49117627256450846,0.5425658910595178,0.5285260113948063,0.5682745805161367,0.5052374602662127,0.5056054162542377,0.5043302026838807,0.5619483347477959,0.5789526342691313,0.7364296455529564,0.8729306160183783,0.8124198750450147,0.6121912359936377,0.5767054682700236,0.5036156606962517,0.4903744511129908,0.5731928872395642,0.5866343783144703,0.5993078051089905,0.603470255031918,0.574237980721382,0.5906059186140585,0.5621314709042572,0.5905978904093148,0.5015987341014804,0.5294270961452477,0.6024903405554468,0.8858022611366603,0.5570769925894988,0.536097324546716,0.6879499219185176,0.946499244881704,1.475730588359994,1.4406232988780046,1.1044569434346685,2.026253070741023,2.450023530370244,1.0718147554928088,1.9395850705742916,0.8755950962796136,0.81940638644113,0.9235558841133457,0.6697455215207204,0.7416932726421738,0.5712778380829319,0.6417773634886903,1.0288783024544117,0.6802133068378239,0.7316722901675348,0.7967155479260526,0.6953838925189677,0.5925523190441067,0.6677974909130592,0.6973255398356526,0.49213251898576443,0.6586672534504181,0.6420581198422506,0.8091174502578381,1.0266868426244273,0.7871014554751836,0.8109221525225627,0.6356891520952533,1.2144602176945871,0.5247120042919312,0.5666112761328544,0.5843014900777194,0.5894287095419509,0.6127668010890824,0.6418399688899747,0.7952596427438705,0.7481291114679302,0.7159782849109249,0.5946914399425766,0.5655256746086939,0.6735909570099691,0.5645531665414053,0.6097012075340662,0.5651295839315323,0.8038981583605289,0.6914610703235933,0.6048247033474057,0.5912602779029106,0.6389909495779503,0.6471305826373517,0.6175369834384068,0.6249864664009083,0.7777289038277165,0.708139116339253,0.809125353374012,0.6852162819767457,0.727483693351526,0.9058011873308099,0.6766868031699836,0.8330226177412677,0.8006523716787282,0.8172060980057293,0.9382856178548483,0.7614455401542409,0.6813085225935713,0.6362533609208942,0.597052081523757,0.5523582020329131,0.5138375411844316,0.5234035531457226,0.48288177977641067,0.5961434874574306,0.5293957317177307,0.49332039123862115,0.498422260687067,0.47014419851197,0.47441413842064506,0.528857830811966,0.6056063924960016,0.8074733890401701,0.7162685683203379,0.6914333858040342,0.7587616319012184,0.6974883924467423,0.6982273476731222,0.7489882666110451,0.726764595998253,0.7076390007575908,0.8308288973284389,1.2346693968889948,0.7234829164133673,0.6331968186906957,0.6343632583500808,0.7456387693007329,0.7486396192545065,0.5827473881824605,0.5605376074036755,0.556900536386146,0.5364846990973824,0.5371661666320262,0.5760808486588239,0.6192791752087169,0.6712574723025578,0.7658041539126847,0.7223755473870972,0.868324167460962,1.3038362493910833,0.9241355150164514,0.7321270556206517,0.6852259208985597,0.7254092596580332,0.6575750310108511,0.692679362250753,0.611311017251645,0.5874436112566828,0.5752323290162277,0.5953949290919763,0.8232047759331147,0.8519568203672835,1.2658052087702982,1.6143317726196265,2.0565003727519606,1.7582594475756106,1.752838479017439,1.015001800404516,0.981071870686935,0.6161711521192281,0.6253167194846139,0.6621149834915947,0.6942877483294716,0.7939784017357802,0.6823686791533817,0.6292157626136629,0.666128749403154,0.6249819264590338,0.6906899773959332,0.7703671206750777,0.7845046264578273,0.6890015777900422,0.6212820651612936,1.0443640211328005,2.2897048173726327,1.1307034022737532,1.8816030697843886,1.9419803199853927,1.564199433640308,1.360371206112417,0.9842835309651385,1.0230125622872293,1.0342473288079383,0.7912875004772036,0.8197120722216247,0.7101663962729325,0.6871845237694142,0.7905561487709539,0.7169617596677157,0.7151607161608238,0.8133432134326875,1.0287871114662928,0.7950080103205142,0.8482594289460752,1.266592890922471,1.3264178400241906,1.088125909481858,1.3318793645543032,1.7700856079773644,1.392654578102308,1.3626748418725378,1.0228317030768423,1.3227157332041706,1.1495881958976772,0.9644856500001991,0.9535715463231282,0.9819221825960798,1.2020073701135685,1.0933294776107494,1.5209226973239078,0.98936146738799,0.9429448303886896,0.9331050335146964,0.8297835894495669,0.9134269409099695,0.831838908440899,0.87418829386163,1.1266398297068199,1.3446539322962392,1.069257936338573,1.103613824351667,1.4815771051023054,1.3368433131530677,1.2840010428305682,0.9674812855074543,0.7183700800689152,0.7771491490125111,0.8740117844197741,1.186791385418007,1.2475954837733398,1.4399053467604515,1.3935390281851987,1.076900781756106,1.2517348582071606,1.2192550070492683,1.206879546997397,1.6039055666078177,1.8159635492403774,1.619757644994934,1.572060354529142,1.917886861687206,2.1433072154314297,1.7135719443861592,1.6597582212861706,1.3166736517117614,1.2243461995935407,1.165075837002739,0.9814742411489019,0.9609181051268227,0.9050890191415644,0.8398782529163451,0.8667457373796698,0.8944101093717297,0.8970384182324539,1.0142933801444547,1.3990845650215837,1.2256917491151569,1.2466941096065718,1.4173634985364132,1.6204666969626274,1.6150670868452919,1.5310171738341336,1.7567789062878116,1.8837448932420335,1.568213696612243,1.3805899519642688,1.0551470699351102,0.906386682881587,1.2758505200067767,1.3977251963947235,1.7292876778979265,1.834982640028169,1.121232892137638,0.8002843778531401,0.6952832457006445,0.7707042563228326,1.1851071518551994,0.8261499999365709,0.7362737648282384,1.6195314036997974,1.0139234207039702,1.0576858745372597,0.6950366926552135,1.13953774110284,0.5419886178209409,0.6540128743706153,0.8860994093852549,1.4881674130054876,2.3925282148171103,2.7236592617433133],[0.4963735858108088,0.5415714844065186,0.8162336436708926,0.7145927012891723,0.931200349284049,0.7267987122435307,0.7838830144319711,0.779964696782341,0.6665008384053154,0.6785980956766006,0.6439295341778161,0.7192016213319095,0.7144186392815236,0.6687528734689718,0.7092829735041914,0.7124947444572987,0.7748830740577445,0.7389904075266128,0.7429824182506775,0.772563241915579,0.8129250650021648,0.8671240209004151,0.9802719368791921,1.0918327200738707,1.0524860672545646,0.881009970116948,0.8534739307976866,0.7903863580958402,0.7502482921369623,0.780525292978266,0.7843656095302027,0.7677956194092274,0.7387221374729468,0.7424309113926372,0.7757103525295589,0.784553695677916,0.7979593448695091,0.7841051319679777,0.8293449970383318,0.8976449073284303,1.1627901651290933,0.8519945165240126,0.8281194939169008,0.9861938914463615,1.1957863371745274,1.772294112053664,1.7710687237015525,1.4155256484487502,2.2769610474269864,2.7871639231613146,1.3953102725956397,2.252491884054334,1.1554173868917639,1.0965524586310313,1.1012684840371045,0.9793418967052889,1.0458539824862136,0.8466975244054775,0.9020392663373309,1.261175598123875,0.942001831697105,0.9540406301761791,0.968382786144574,0.8542751182914488,0.8257953541146588,0.891959895290794,0.9117664870243648,0.7373393854576791,0.8078543003128589,0.8135723554317077,0.9635769386340869,1.0840371579511954,0.8863156633027225,0.8964111162709811,0.8142477210624919,1.2435636064633415,0.7401821535822092,0.7672574592037182,0.8239751424517088,0.8510462130934159,0.8383570411950675,0.8812973203614806,0.9774827465919966,1.0231546427058746,0.9920311773003532,0.8458510083460463,0.8188270762022414,0.8676922371998366,0.8051558130972991,0.8205693612084057,0.7640766327809455,0.940157789042417,0.8270924201982613,0.7494177783662468,0.739423631158603,0.7560276115145959,0.7597545134754646,0.7532816342308162,0.7374136950926027,0.8158564563672073,0.8095294588759243,0.8870819565694545,0.8252888951438921,0.8412890677220046,1.1111187929409745,0.858778349738978,1.009821646895613,1.0029230219494454,0.9873901936188375,1.058743642662933,0.9351758537456515,0.8995078200631541,0.829751148766314,0.8563797433647224,0.8090775982483672,0.7770357553895204,0.8179147779815543,0.7619520484261572,0.805443974183801,0.7663752585618225,0.7194770661622591,0.7336421331543621,0.7453788651455432,0.7488986868316789,0.7613718098103743,0.8839955959442867,1.0669725413096478,0.9922100449943678,0.9530993977641309,0.9800485539375351,0.9326117606680954,0.9097975846472796,0.9843855842127589,0.9301292536987444,0.9574022722307196,1.1054036245185688,1.5415581313128164,1.0409851123511722,0.9235562627235427,0.9353853156002446,0.9447139990725888,0.9830046084092917,0.8334294755301832,0.8407105518735525,0.8422796536027641,0.8194803146105407,0.8176042926274549,0.8332969281391969,0.8536363073700288,0.8305078551952536,0.8625841168106492,0.7725351631588859,0.8552908158208612,1.2133513065857278,0.9155475092860123,0.7802266111057553,0.7698218506471143,0.838177501221167,0.817474430916762,0.8700255911347269,0.8877472103798311,0.8640102008828772,0.8920508779027273,0.9337686053124292,1.266992975451557,1.2042622274742292,1.7100103317106203,2.0502986085264623,2.4650747981638452,2.0923464269486685,2.0874237912308575,1.360855194595351,1.3245227217374396,0.9066335796434745,0.8878424297469715,0.8857492299952499,0.8922560709027745,0.9524822016193069,0.930292987356831,0.8412921793548287,0.9581340273205933,0.8583834648062894,0.9118999457585332,0.9676392021247446,0.9757507934434083,0.914201880038949,0.909049534845717,1.337204680596664,2.3522113471261132,1.2373851827961229,1.9552024689449539,1.9987093079013207,1.7277572228535016,1.5530867019690566,1.1904465390934165,1.2084811889008586,1.2014609308051165,0.9717876679475943,0.9828306064989399,0.8852417332695218,0.8432988208611598,0.9158255792122457,0.8797117197235803,0.8634785432169513,0.9117456115097238,1.1445257047592254,0.9212238157680811,0.9400677991200431,1.3078277033762422,1.482576312998788,1.2367958287180578,1.4175563200508359,1.855029201260081,1.6120452595758525,1.4894392693026557,1.0783905140005985,1.3542943654782627,1.1101687201887156,0.9781432780917639,0.9707975026221907,1.006294963306559,1.2382599892079424,1.1019118989629602,1.4636664111367477,1.0333717731672687,0.9912508306936908,0.9792894502307917,0.934632016427971,1.0240441800880344,0.9427087817124477,0.9978723792330778,1.240260062528285,1.435325486820733,1.1809720834766095,1.2172484808190407,1.5602449304834243,1.397196491120736,1.363225320185349,1.0889658646062668,0.8898488322642057,0.9264417718866359,0.970427325761918,1.2009864271476407,1.2069200972403398,1.35340185228344,1.3984223217583087,1.0946522108763173,1.1910574282924185,1.2075655072159432,1.2082978787323542,1.5241294472761142,1.7146294386186496,1.5933264240153793,1.520983924028933,1.8116980960197944,2.064988373664143,1.6769184398105024,1.5819006878455997,1.3044101086363884,1.2069104738211853,1.1648630993308444,0.9999301125004845,0.9872784182693924,0.9650512373497738,0.9183705839517218,0.9289026825465959,0.9451173131734992,0.9844073951866984,1.0925720570736173,1.43516528967836,1.2576063534453352,1.3115533642619404,1.4645368729413992,1.631513669247049,1.634797222632263,1.5483967659939315,1.73052560614585,1.843677330508423,1.4963589166869653,1.3361537490542115,1.0477649680408347,1.0367880222411385,1.2379137943688343,1.4137521707558618,1.7636887018219716,1.8569480322153862,1.1675212721049182,0.9394593420296048,0.8857468251948979,1.020799648910905,1.3662484919722624,0.8011455837431767,0.756770586022298,1.2449236129291432,0.9287894573705099,1.229974658465323,0.6868119676576541,0.973161387026858,0.5162468270891859,0.8496716733316382,0.9569073825501975,1.2854553356376197,2.358896093876296,2.7518543603645798],[0.295422491027861,0.37050264866904103,0.5652703720212297,0.45485247341093415,0.5847291065001833,0.49700068668538216,0.49608389259824576,0.5672666442498827,0.44580202706548516,0.413469898015233,0.425317233411206,0.5217468712599629,0.4578707403426116,0.43675319613947666,0.5041372667177616,0.4765385530962401,0.515123439647616,0.46640908552477905,0.45787349124383653,0.4710847167363816,0.503405576351913,0.524235119725249,0.6970751230606961,0.798376973722822,0.7537101949556841,0.5337192657769763,0.4717129360726573,0.4435687102037359,0.454866481590519,0.49986929676416386,0.5417054939564957,0.5434876344696673,0.5245328224131814,0.50775981798393,0.5230321442495316,0.4906693671399343,0.5194972304500738,0.4539494838757702,0.45500339781125587,0.4694691817812879,0.7995513376739711,0.5019641743049646,0.45745712967283486,0.6286576703490919,0.8735097929640643,1.50891728650692,1.4375289628862329,1.1254094758934237,2.1694798169236447,2.6420804077478364,1.0571879697751785,1.9647861024468984,0.7691648274780873,0.6901085635148541,0.8539789790824848,0.5783391536003454,0.6629247314689373,0.4961374037654387,0.5678030952787537,0.9491279702276856,0.620356259102951,0.7064489896251043,0.7732244004813661,0.6022362046583425,0.5319846341845715,0.5962563893772456,0.6515256383792348,0.48501386440248684,0.6271626153931336,0.6121732596569855,0.8212392293029825,1.0019415906268718,0.7412618227616955,0.7243520407527096,0.6122462528669573,1.1024563406167065,0.4994891896788574,0.5317894497016322,0.54183394082119,0.5425429364936706,0.553543684726229,0.5345644658170726,0.7134832832124193,0.6986341676686616,0.7016669714619758,0.5206167431703319,0.48376081839683327,0.6041031072301799,0.5106919010197034,0.5896811818225384,0.5215090607007546,0.7469138641344164,0.6366223485355489,0.5540236706041115,0.5379989288289723,0.5803581686051966,0.5969798070904676,0.5499478292060409,0.5428733390699138,0.6983202320577336,0.6088132722301938,0.7084529954270018,0.6052501219524756,0.6621200566172711,0.830974803321137,0.622206010697608,0.8381129284704301,0.7110238927460188,0.7143825628395585,0.8342435352057668,0.6575798312870929,0.5737879012846457,0.5070973228429554,0.5041673291081892,0.4726874587403327,0.41554606128227806,0.47596301260724755,0.40992299490924,0.5101107957380349,0.5122047031465707,0.4488594289066486,0.4459695490253576,0.43737183078520203,0.42605267857082535,0.4330241640674975,0.49871752929163604,0.7308952936019664,0.6669317496208846,0.6488449569052317,0.7015367002081566,0.5371990481804576,0.5913492428958945,0.5681075518409228,0.6675417611143324,0.5668943556566353,0.7704848789470227,1.2387814089909273,0.6481732704791561,0.5470494964929622,0.5354154886481837,0.6316375665170333,0.6300915461130756,0.48954851727935683,0.4657766288504039,0.4530930446365173,0.44237285496496676,0.4350292948481736,0.5057334969902659,0.5265963232682198,0.5578515595047262,0.6683603599027652,0.5987363343600153,0.7542753678400808,1.1366037148172448,0.7687219660273265,0.6117672446756217,0.5686359188287098,0.6251071602579047,0.5619600335326816,0.6295366176713928,0.5410779116056732,0.5075457810077258,0.501631246773317,0.5656279644287582,0.9839942747018835,0.8470177591092483,1.397022989693398,1.7050328024353119,2.1401318491588914,1.8168988087983784,1.8261076536029386,1.0840280393837347,1.084504028592131,0.5711129445633494,0.5645650291548883,0.5847546380028676,0.6142411797698448,0.7528867805644023,0.6003942721897709,0.5807473577602924,0.6917501555643302,0.5425222216062189,0.5456838262632169,0.6225812007923286,0.6138223579174343,0.5713237005524657,0.4766962739723095,1.0320355287895493,2.1818353997669706,1.2071313739850187,1.500599290041993,1.5089036955553294,1.1804289017939569,1.0472909722164414,0.6913020290503585,0.6943054596880828,0.7911399165936859,0.6256929900629492,0.6743790284549009,0.6036832269649391,0.6069719259532895,0.7452380268515423,0.6494100849190342,0.6563473037194913,0.7748627148178802,0.9867625201728082,0.8064661751246572,0.8030786429058989,1.188433977868203,1.2288932605875373,0.973966549051334,1.1728828948071042,1.612587319797158,1.2512297588369485,1.1559555423525651,0.9278485551872684,1.1812771479028923,1.0999995507354192,0.9131587061394629,0.8471677278413546,0.8321327607153522,1.2512939350184782,0.8964667988313242,1.4705545739102495,0.8816501580859353,0.8774583801856419,0.938898305405861,0.7894848551466298,0.8602812570236014,0.7539050326940849,0.7646868621413964,0.932176267072955,1.1670290568898443,0.9110302789447383,0.9858089329047606,1.2319529070568669,1.1081008027766317,1.0969432828923422,0.8107020357685764,0.6079372064217529,0.6518241762718835,0.8206904557091811,1.1086599444781526,1.2261618379374115,1.3716457689578316,1.3008666648281162,1.0907356267896868,1.2420995609669658,1.1914066953457765,1.1816025862573325,1.5294013674286913,1.722962440413054,1.5373741822380986,1.4643682110300293,1.7591798045331688,1.9553104422596854,1.5484580434437496,1.4768764474652478,1.1991531243905253,1.1212734246024574,1.110608114769424,0.9377797115149329,0.8711480323936069,0.8288432425094269,0.7674402878183298,0.7605758770029757,0.7902198695985215,0.790719113287639,0.8470174063663857,1.1891973414140116,1.0900156770285696,1.0602711529323994,1.1501912883885392,1.377504079887479,1.418211539944474,1.3890979088748319,1.5277467269297567,1.7354745530635094,1.4662365083311804,1.4098565691094973,1.1123161624567828,0.9047098399616591,1.5185694805681815,1.5812553273685248,1.7485116452459066,1.8405075352668745,1.1166310469593128,0.8064436381516469,0.5883238222283008,0.6771910844934258,1.061550928833708,0.6690143653832302,0.5722314256281351,1.3620243628005166,0.911973113609997,1.001450493952506,0.5064599726969486,0.9545587363359704,0.3487286570988411,0.7509682955160826,0.7921398464884097,1.2518071929662284,2.159912545334327,2.3294653593113663],[0.22301200154818063,0.23180882990343757,0.2520527316855852,0.4061535441097415,0.33870327707766246,0.36986470372042535,0.3574163260998689,0.48234278605854936,0.35524121199469955,0.3315005800719115,0.3647878643306969,0.4996249751727706,0.3831596852856659,0.36838424349409404,0.4487256285711753,0.4065173026959605,0.42705435261123825,0.389532686174619,0.3974626672622948,0.3810885630716861,0.4024225567847277,0.44567369027440457,0.6185800412626139,0.68455076949986,0.6794458922557979,0.4439378869963133,0.3752685685647364,0.36675418096093626,0.3805302340268966,0.4259259017004756,0.46514213043165803,0.4909419963515716,0.4952653998453672,0.46829207346363033,0.4747978653914055,0.41582524136792415,0.45923662286459005,0.4006897848320542,0.38648278748729287,0.40138995017998946,0.7078277047500243,0.4251146173175534,0.41344343446327053,0.5311601417552718,0.7593254226270809,1.3868125103738849,1.2694140435780654,1.0077466126856731,2.121140797146164,2.5436467669205705,0.9739775551111365,1.8293125630912919,0.7299549128378204,0.6029455842702802,0.9163037840936087,0.5388183147919514,0.5621852913192376,0.4501576866381784,0.5454898477739363,0.8186623334146376,0.5670240634187801,0.6959425413390599,0.7640845511959762,0.5546726788545319,0.4554231169534302,0.5365994557261133,0.5548137248106109,0.4248633887742025,0.5758006679076082,0.5574078881281471,0.8052525815975865,1.0010021609157416,0.7130881794815022,0.6751311760369769,0.5644097181535618,1.013239891945284,0.44129288602067457,0.4804444313179862,0.47552574942792003,0.4623319882305067,0.5129202701992557,0.5152894846161081,0.6835993321869012,0.5978772726791999,0.5789310947095683,0.45630783433412603,0.42732604928953055,0.5573771524595992,0.42720002363928644,0.5551729799427535,0.46538615419235446,0.6858858597031995,0.5839963779874089,0.510822545993628,0.487592674971839,0.5469441973785226,0.5527093882984514,0.5237245052711089,0.5157880166014022,0.6725306949176216,0.5679451857452591,0.662144226265715,0.5254501660254919,0.5907513225452278,0.689819864945928,0.5276018713348519,0.7637704839640886,0.559160520371051,0.5812433940897146,0.7087265609945221,0.5032929774677166,0.4099767222153851,0.3635358638775225,0.3670865332490371,0.33508933434030563,0.3390461010928262,0.44747689059035495,0.3564088353180865,0.4280589727170633,0.4448272531258993,0.388097371944443,0.3743555239183433,0.3557904817298276,0.33628809077468697,0.33193285564475206,0.3535456734397843,0.49752069470059496,0.4728574181358021,0.45379290742366707,0.5262811200131895,0.42532731945139624,0.4628027356390251,0.4557685491589098,0.5307787471093048,0.45936494181412396,0.593960352876674,1.1183177781359597,0.5293390129930813,0.5029737667733483,0.42627878865964847,0.6031939467152971,0.5605209384269496,0.4291974936977181,0.3940609904946178,0.36096297940126704,0.36243449809564277,0.3481558920448327,0.38522422427128644,0.3958333788710616,0.4388298124575047,0.5795406248274891,0.5440064754534589,0.72877715441988,1.1140934723710654,0.7346440311873621,0.5753074347198726,0.5117718752258825,0.5477802800459398,0.47053348374759074,0.5316752754973016,0.41658289568626644,0.4060738961414635,0.375597713103382,0.43252859649411396,0.8871253814442827,0.7151300444652477,1.2349934314006064,1.5069119909082123,1.901181659341732,1.625003187178846,1.6357459350165053,0.9192965656542336,0.9599625342277456,0.470284155813214,0.46105442725282986,0.4871359332618323,0.5218334944632075,0.6910583856630887,0.5090478575074322,0.5504048047526495,0.5744025511222224,0.44931472254030014,0.4722295681483267,0.5564318439661783,0.5712985751621642,0.5539572019523676,0.42537598801127113,0.9259236184510853,2.0403965649611138,1.2421114991854303,1.3678006906161562,1.3538783326976627,1.0623428434027697,0.959304823102594,0.5975860215218972,0.6365280574818374,0.8502594993519796,0.5085264288321844,0.570003423848903,0.461954596390728,0.4523527815296539,0.5877555596296754,0.45699685279081775,0.5147310526956147,0.5791267033238613,0.7545258811654639,0.7467222088758223,0.5904862443768002,0.9777755111959603,0.8608821433211771,0.6685744525065143,0.8405682064083748,1.2551484758400353,0.862763164716572,0.8493620383300811,0.8458718189094427,0.9535587520838191,1.0808310305387814,0.813672593891038,0.6641937875295159,0.6635288003238131,1.2717024867317341,0.7774943461612871,1.4595493147937706,0.7663436960684232,0.8250844719946662,0.8854974832187221,0.7156256555674623,0.7011625926145142,0.5791277036698622,0.615359822151633,0.7542862827299474,1.0227581584239298,0.7838717577884438,0.9232779299085991,1.0412742197794294,0.9724362359538803,1.0065208811859616,0.7268175219184371,0.4881558729498622,0.567075305480471,0.7277658415185062,1.0981059236676556,1.2221121651498568,1.3834600160864936,1.2789600389402915,1.0248452938875383,1.247043493159612,1.167683444113936,1.095234663193426,1.479998405574674,1.6878922202247524,1.4206172751253932,1.3468629408893509,1.6657506106856375,1.809538389009938,1.3400109742089579,1.3036887179212462,1.0073639105099532,0.9821122774535704,0.9955485212554115,0.8265203718259561,0.6970553405127539,0.6284156643120732,0.604133352020848,0.5858495179606226,0.6424138312670504,0.6572612879916641,0.6935151295768688,1.0745559932830828,1.0312876543324345,0.9476159321303597,1.0303751011740825,1.2499188140293054,1.3606547327631555,1.3884486113056593,1.4797289826337414,1.713127356789454,1.4486085491782414,1.4903886999231575,1.1916146351896815,1.005155010999619,1.716369897239707,1.7336207886436616,1.7969770006440346,1.9031524468347385,1.15872972399638,0.9443348988480076,0.4875418885487473,0.43909874796806037,0.6758643098367477,0.7281728353589623,0.5527352689795251,1.497884128466654,1.0609992731413709,0.7976658244945249,0.5080789294351289,0.9897634606712269,0.28782978069799087,0.6817529012508328,0.7320996652620826,1.3830480240553014,2.09460531167097,2.1041000908785605],[0.31835229498988765,0.34177909514834864,0.26580740287053245,0.3454366338948376,0.38626113210589264,0.3688716083899586,0.33423163464022054,0.544162299645637,0.38641108404208374,0.33166943614670485,0.36535857384533654,0.4854998955417639,0.4045519283604289,0.35686318507139725,0.4935446733590923,0.45046519472538304,0.45376796364794153,0.4390345067719148,0.41866942353660624,0.43071189605698396,0.4386902664445901,0.46645101905772224,0.6146518674979704,0.6974336199593038,0.6767217594371205,0.45898752583084607,0.3915153839731949,0.37852212222590637,0.4193264013313654,0.47522899334909857,0.4653774679720988,0.5300523429623327,0.5551435462064057,0.5266649408680666,0.5177239808352906,0.450499826488057,0.5066056737999516,0.44084479551511746,0.38194301074621173,0.3809928229911031,0.6562939535780723,0.47135089871850677,0.4495341170663952,0.5552954817434738,0.7399594497026134,1.319467622235626,1.182525000084375,1.004342921675723,2.1160532791613202,2.478976178324591,0.984068069410399,1.784627328937685,0.705944380333474,0.5735677972762524,0.9548505614200495,0.5433866769846489,0.5489737371134643,0.49883990622083946,0.5719882568251865,0.8350327777784725,0.6087814738146503,0.7446654048317444,0.8224206156230067,0.6487644199051054,0.5128422836591104,0.596904298141659,0.6472065525855891,0.5066306774035413,0.6225468055349389,0.6024720154646962,0.8151892879341212,0.9881379944365805,0.7560567523230867,0.7269157545611847,0.5970916633437487,1.0500765097709615,0.5206338526227199,0.5260493225491014,0.5021374314201136,0.5075677216680989,0.5815326633175284,0.573352288421543,0.7962388808348447,0.6193430948696842,0.6278054064650058,0.5136869304591553,0.47388511326429494,0.5945030369798778,0.47012187778485426,0.5784314713047769,0.5214780366362143,0.6926824327809528,0.5985262412558943,0.5518916682190235,0.5172439550504694,0.5812576838412049,0.5719907466785339,0.5552065197287275,0.5572944840028681,0.7601225025366956,0.6280868000220658,0.7096101319361726,0.5776545914346287,0.6570570115835226,0.713189506446968,0.5799785407834447,0.8030734610808398,0.5563511843341189,0.586532495859009,0.6921009986282745,0.5063456044176048,0.4261320047992174,0.3930126330463021,0.3954635087408525,0.3375487940839897,0.3461560482366778,0.41849007688651724,0.3385086914525998,0.4371600051362531,0.44930640072731143,0.4147635706503097,0.3855945313944503,0.3487507705689772,0.3211875645972086,0.32155104951108476,0.34329186979463205,0.42482656715636846,0.47966120120165173,0.4538405008390271,0.5481062157505852,0.4415672763813104,0.4852535927905292,0.4663144260803437,0.573646713129395,0.4760642440364412,0.6017178658413732,1.0833419933227875,0.4986129758252884,0.4812802613002771,0.41558911630249507,0.6012699783146043,0.5356355681042434,0.4288739162216374,0.37021826575169714,0.34689806414068636,0.3736334115534068,0.35285890539487724,0.40899185749248584,0.43409133870227123,0.4810451308867678,0.6340162870161214,0.6126722946916837,0.8055074803470254,1.231597981085842,0.8194936878876472,0.6515707025393451,0.5759175751717545,0.6036458782766345,0.4951389574719299,0.5816936188285821,0.4485826015517676,0.43484447487035427,0.3739186136982809,0.4506206361687887,0.7994295734362269,0.6633755157480803,1.1491773050833876,1.4386269210977263,1.8416500453881168,1.607391673386625,1.597711239977041,0.9066129860907504,0.9320605578347705,0.48856612660535914,0.48843629989052095,0.5668592757481393,0.5417092065936134,0.7578938648104224,0.5561676335427245,0.6360446115738347,0.6067790820236938,0.5061283327795345,0.5113948129457305,0.5767704712021936,0.5745689596359037,0.5917181869726835,0.45637918214513695,0.8794085767780104,2.102467324563996,1.2737229560477794,1.3618081334834675,1.3909050790129427,1.054677567422948,0.9453543136327961,0.5997143617520597,0.6406146829165285,0.8662259176155818,0.49740641345021497,0.5623028384413548,0.4686236070111759,0.4513457131086041,0.5821201169681334,0.44444033410705547,0.5176147902289402,0.5593171368648222,0.6726048898053664,0.7809144285774489,0.6048901220303523,0.9248145817355304,0.72401833401535,0.6622309740264273,0.789909919809028,1.1206717691292407,0.7966175567047472,0.9070275028023929,1.0126531148661582,0.9907941135367764,1.2398314792120788,0.9126771167285485,0.7318588007635237,0.7406234190839736,1.3371286804507245,0.8786361798728888,1.523964046372785,0.785397595046784,0.8595905271489628,0.9084455056171801,0.75312823426495,0.7166918261364309,0.5845823232102232,0.6241729522897157,0.7496899691593025,1.0390457830861473,0.7859818724289825,0.9271508630103569,1.0654025217708416,0.991448529863536,1.0044665850016332,0.7252487769008361,0.4954583956667072,0.5828836383602163,0.7452822199451645,1.1549415715322897,1.2970554902305655,1.4687790565240986,1.3272697357360907,1.0478049806011438,1.3213235994688144,1.1945118166170619,1.0941756721063849,1.5191862926002888,1.7256348559449641,1.383442643152272,1.364592603471195,1.724923372980794,1.8129984152095582,1.323533149827039,1.3392317392053255,1.0137892977508043,1.0114717464714589,1.0186050677110925,0.8618408245673309,0.7229443078550875,0.6289726049815111,0.6108516208206219,0.6232117439634759,0.6967830652756114,0.6894488420529469,0.7326153550163718,1.1469549271126613,1.0892707571985465,0.9827968824433589,1.0880512105305347,1.344716690425549,1.4538078219350694,1.502791149040658,1.6263647387648272,1.8443077889037958,1.623651642969527,1.6454286329065784,1.2989423978960444,1.1564596710768194,1.8480071546894226,1.791553808033243,1.8652904927102318,1.9308001228182592,1.1779484309991128,0.9517469414910776,0.48872730347016646,0.4358034872952601,0.5614396643662148,0.875527070508199,0.7075538767144749,1.827852430348262,1.2612361425789824,0.5895068905302079,0.7629761325640476,1.1726762138899145,0.450055206125051,0.6576848991872085,0.7829120232709308,1.7886627189719175,2.5504179889560676,2.553909189245979],[0.3741756386319255,0.3292940341402777,0.41814362612949957,0.41132181161802417,0.4124711154536179,0.44650958571668925,0.4769346507994241,0.6804525957838321,0.5052205572019672,0.4745663544178839,0.5017068064106669,0.6502432874397215,0.569414760772259,0.49798119333825513,0.6672026817842608,0.6307928613329713,0.611304266650739,0.6099546217532749,0.5535239920700664,0.6064546199821416,0.5887911784588746,0.6359572512518818,0.7166809663617717,0.7921582842725711,0.7581960013180085,0.5837849593385188,0.5205464278185138,0.5444859115056292,0.5885070334985317,0.6566508842825326,0.6574610421090822,0.722585660195661,0.7475849421234162,0.7317979442921299,0.7179943792355897,0.659992465223609,0.7109385013698398,0.6092230887919963,0.5603439230734402,0.5711839698094098,0.8447947068281267,0.5886740620146452,0.5899309666107679,0.6772900183269711,0.7843718485731235,1.3645340229733962,1.2139475045047943,1.1141592470357782,2.2495398054764633,2.5802207800656025,1.06467387381412,1.8594065501795873,0.8482490294168462,0.6785551118870577,1.0885938656673324,0.7220445244285778,0.6988721046198942,0.6689522324136751,0.7619756782441228,0.8719109815720658,0.7098077612391677,0.8703288472654008,0.9493331816745498,0.775907147832617,0.6397877461854418,0.7116561647104346,0.7417652458636961,0.6587444923192903,0.7189998723874756,0.7446050904285016,0.9076708761003218,1.0789239387158576,0.8832387803801035,0.806019616798032,0.7374958253688457,1.097546146769523,0.7086670883238423,0.7313909180736027,0.7224445734492723,0.7182047007378961,0.7782477448613878,0.7629308813390331,0.9086376085870482,0.7641719814285893,0.7452072426452758,0.7017301667174378,0.6791264807752098,0.8246081101343098,0.6794765322963259,0.7522116140655377,0.7204020808229626,0.8263134909926664,0.7555810420719895,0.7256937482051425,0.6889175282615434,0.7297150514235972,0.7321147398308593,0.7301701720840598,0.7359196818668204,0.9194488445001495,0.8339070998715299,0.8973807415147101,0.8037087187215641,0.8392669468799867,0.8427285965430602,0.71412052313881,0.9472849799779144,0.697921742420887,0.7116172114389471,0.7805778791217408,0.6128186043151217,0.5809658489109826,0.5639288679743663,0.5308413750140726,0.49499529116426916,0.46551047320674765,0.5256777551425769,0.4420016102200461,0.5185467320064293,0.6118274825206031,0.5318940297324186,0.5092045876725346,0.4424780642884479,0.43391060514818464,0.43689793804278415,0.4540786262591199,0.5179581663869289,0.5613527387648372,0.5468548047733701,0.6329725478434136,0.530176400882114,0.5781452555568041,0.5441975971614259,0.6825276715087957,0.5709693925325413,0.6672456341257818,1.1456979147317343,0.597883943866069,0.5568710991754736,0.5235500271366824,0.6362257644739147,0.5751251940607204,0.5026617685900945,0.49343057418475994,0.5143647557196549,0.5488880003535453,0.5211984211916038,0.5835714447475785,0.6135699546054032,0.6386423811650727,0.790883554781326,0.7868337495503819,0.9810948310742215,1.2362314820518312,0.9542080024015392,0.8561961398225099,0.7728476771137915,0.7972223828977868,0.689569530684836,0.7717938029612592,0.6000723155139998,0.6139133307412591,0.5402965683873386,0.6198410778227061,1.0069798536579104,0.7913094846941391,1.2708347809047105,1.494559275755198,1.8555836215219277,1.5985992461311456,1.605376006423371,0.9730781753815586,1.0608970750763307,0.6398010537488168,0.6683647119553039,0.7280800920434572,0.7355288735175173,0.934500710496551,0.7399250639425522,0.8030249002208484,0.751456287777381,0.6672233685611245,0.6494753239137621,0.691518748221847,0.6660517849153876,0.7071918008595134,0.6100900684977066,0.9306986703147877,2.0362413543679154,1.419644877654251,1.2032285832127956,1.1721149874369143,0.8958748061720612,0.8726964493688707,0.6098151428621141,0.6788783361237032,0.9558607173293512,0.5586259330402054,0.6085887735328397,0.5472520830420785,0.5707517557537268,0.6748103750325974,0.5401045970883666,0.6329764040283312,0.6092150819453419,0.6062215058058729,1.0342831324036454,0.7679921356212875,0.8079174754556385,0.6559343880291162,0.9832119667873152,0.7834408077771212,0.7870769988779236,1.232187531402386,1.3436654057595483,1.5297607784968215,1.1290370889337222,1.5912645704791752,1.1848425271253162,0.9187091353938431,0.8798015010401493,1.6525948327400424,0.9640210506251607,1.576616456374146,0.8208701277823895,0.9755456560655017,1.0150108184360778,0.9143724868656722,0.8326170168635673,0.6774701825688952,0.719572921829267,0.7732672592778961,1.0599143006500444,0.8265303052193923,0.9878633160370635,1.0141833862479124,0.9613300996992403,0.9622559025661578,0.7797167437739722,0.6405168924078747,0.7364710967905437,0.8560305762385136,1.2864684847804455,1.4619900707499696,1.6241665394179574,1.4558062390861461,1.1831110803999039,1.5059849061636172,1.3301420600041225,1.1442939265761414,1.5825764301076755,1.781693566321854,1.3110504667574572,1.324315746914325,1.6993341404525777,1.671458797650667,1.141747130798741,1.2316287154786223,0.927565161800428,1.0041387900068288,1.048763793115494,0.9254482006756088,0.7666104793352871,0.678151842924417,0.6860923285886052,0.7255171000711662,0.8391698558679189,0.7952131335843727,0.8109214481085193,1.2152417994652938,1.1993275090362132,1.0200501386780318,1.1274776567840312,1.36403406585947,1.5601405228950298,1.678133622754669,1.8041611863817435,2.013615596888317,1.912417363620124,1.9739277128198105,1.6423048295887357,1.6893976522061351,2.193682533736213,2.0095852029610786,1.9881506837392005,1.9500820085308457,1.2906260665366753,1.1330687965165946,0.5742590937003914,0.46330573976097317,0.5545885436322229,0.9292951257424188,0.8150732646924641,1.8782816782822294,1.5400582582731823,0.7448552575110212,1.0299972797481003,1.1395183596423448,0.4999004345290365,0.5951936559285002,0.6560304132962984,1.5060627274555132,2.2674222354962894,2.3126569720155],[0.5739301707605591,0.5569740577487848,0.6861511982431466,0.577043483090078,0.5316529263806347,0.5195852790385624,0.48966915424067725,0.6898279171135461,0.45534384163195935,0.40697781460763083,0.45991026562985177,0.6287037907009331,0.5331192131672309,0.4216831992179702,0.6054565151596419,0.5945395428933852,0.576444361864383,0.563746612206577,0.503113247689837,0.5759234073273714,0.5672418724064674,0.6130344196077938,0.6618437003923837,0.7766975882448576,0.7245238300316954,0.5513702445167966,0.4953158379463237,0.4966402443865657,0.56151864632443,0.6610723352329234,0.6405821943823079,0.7422118869713504,0.7731842279036214,0.7438171142157373,0.7452833502585903,0.6528970066663543,0.7420048448958746,0.6131346976346403,0.5695196192044945,0.6207812461639606,0.9051204148319036,0.5586968370904807,0.5534686828031247,0.6825461895542535,0.7908757413668259,1.3978087075923464,1.233908982488321,1.1447791411979131,2.3026490454949102,2.579584726431602,1.0849753385317504,1.9324864952635508,0.8520235584568494,0.7111598060715283,1.0176705896489675,0.697516216313701,0.7189100727403899,0.6627593549469957,0.7593268858344397,0.8796647369504171,0.722592531619895,0.9054041374729677,0.9741044575277276,0.800363262985543,0.6366244546357861,0.7237246024072147,0.7324246155606636,0.6358535154768007,0.679147678169774,0.6747071615592865,0.8548702876160909,1.045678335215623,0.836609641524005,0.8019393613773489,0.71997279352206,1.1668210011937759,0.7042573892051075,0.7319834025713791,0.7348033671266232,0.732403697596189,0.7919170358064669,0.7955651058584428,0.9752436452455797,0.8646298018253691,0.807523236704612,0.7360893256409353,0.6872462631785327,0.8800149582069733,0.6885822858351179,0.8022385782971853,0.7083841246495821,0.8220687623898028,0.7287084520558196,0.7371502677153294,0.6711895894142417,0.7480336164798301,0.7181923102804988,0.7360208025943967,0.7619694272665153,0.9781348817684506,0.8773419427653992,1.0100343431441656,0.8881319823593522,0.9489169642078471,0.9494360768032374,0.836672640951045,1.0682903304285956,0.885204162088375,0.8907090172336558,0.9568831716796711,0.7567884443104487,0.6695597767105598,0.602999299890827,0.5580250756642442,0.47691107745466854,0.44289947982429956,0.4652860740541543,0.41440207169549664,0.4907123363869647,0.5533396246726118,0.47394002108856165,0.4457233371729521,0.3998027543416877,0.39989553143244744,0.4201827336043077,0.4955040803222305,0.6077323964430869,0.6424958871916228,0.6828360351523106,0.7964106769837515,0.6670286806555046,0.7213408256841461,0.6842020928347748,0.8495104010317097,0.6977928634773399,0.7788882612084636,1.2736691840672194,0.6744813933534323,0.5940794886970185,0.5561663755058895,0.6587426125866889,0.588201455944245,0.48185284944008616,0.4751809290493879,0.5013954103000268,0.5419013543817277,0.5121997439259349,0.6129882452240618,0.6563361353971611,0.6584895626256918,0.8523122834978043,0.8214518110431933,1.1114498490908649,1.3554104275188326,0.9954505124904978,0.9282829701701892,0.8117571048644593,0.8796445306565274,0.7402361179560427,0.8544259520717662,0.6619238160283054,0.6506177324852098,0.5734778677898734,0.659036936258225,1.0408849861424674,0.8616057017013715,1.3525991739895376,1.5691958220687923,1.9696206116861965,1.6883894073168597,1.7147002316776734,1.0676296402089578,1.1503811932624135,0.7206536151961846,0.7491588706368085,0.8273839759599914,0.8218087773867802,1.0165689442656536,0.8471930227869165,0.8670817785758922,0.823868828758688,0.76166537662863,0.7400615653517224,0.7588762250148847,0.7380513125245549,0.7452988297695646,0.6622362997610738,0.9455604646332028,2.1018563964158212,1.4236117139245223,1.2369925823868195,1.2736153037824316,0.9951254920376748,0.9521166603950441,0.7415295602802696,0.785156381764781,1.0369699046729293,0.675636209787606,0.6945277258113225,0.685950457269726,0.783249897584353,0.9496847235151498,0.7501064877876233,0.7342600660589288,0.8768114213288797,0.8669047712008668,0.9650005254971065,0.8381415170669413,1.117778704084563,0.7665630936598282,0.9526441768610144,0.9206908659015874,0.9661832278250649,1.1428797001772881,1.3069821967358897,1.4893512243089893,1.2038277552379195,1.588663675925714,1.17651759038353,1.0199111978626565,1.0230080096277734,1.6388411308212991,1.2484064673829574,1.9032815749288179,1.1649768077269,1.3289713934147807,1.3409530970333658,1.249512074404212,1.1146463990519502,0.9111656181616334,0.986807008759753,0.9396614247840727,1.118760089809823,0.9069646641103584,1.042249427199146,1.0436142956893861,0.957779340761635,0.9771785052587894,0.8179039282957856,0.84217156381664,1.0034031335529852,1.1849617324414368,1.6276189907493002,1.8424178734031575,1.9681793257805968,1.7925989386804906,1.5768337935298924,1.8887014913412579,1.629023862083428,1.4778163950233476,1.9617567694347553,2.1224771217435494,1.630112718956477,1.713058881932073,2.1187020001199777,2.006541227303315,1.495530570905003,1.6375266259786831,1.2812642619074417,1.401535861282762,1.4294817661419317,1.3077102200862554,1.0967329709653766,0.9320303422516156,0.9660565751980164,0.8954617513706756,0.920521416883934,0.8761887114992166,0.9153624302752964,1.2106900148188853,1.1467169408166629,1.0205853291940208,1.1128221900304904,1.3747211055112376,1.5393739504907524,1.6594434564573568,1.8638990687148151,2.0512684016476364,1.9684894908793447,1.9595436403512874,1.5608519048367326,1.56733836284168,2.148663564362701,1.9426186354426778,1.952239028951219,1.8616152787334739,1.2116241657934763,1.0224086048045444,0.6547086657161714,0.6335999118737207,0.6206271159339807,0.9140677538095785,0.9458009283696905,1.902080939274792,1.456424510676986,0.9095932970979584,1.1332071177861684,1.1091057445383596,0.6546405247763296,0.903249084256473,1.2031437430958343,1.5221923955895191,2.7503033221435493,3.176914282254663],[0.37347617227287305,0.3282117246945316,0.38144498643522584,0.3597061647810561,0.40489878001967833,0.40175091386951645,0.37526385573274046,0.5488375673330658,0.42548626943382023,0.40167273677051707,0.46665429767112226,0.5910743115771037,0.46884471467941474,0.42471344533725075,0.605410586519647,0.5446583211356864,0.5220057387798264,0.5214065810684029,0.49898827289928804,0.5226588599699772,0.5267127646176242,0.5744779029111464,0.6217777521590129,0.7296186628926862,0.6863329678371051,0.5269265293816187,0.4615568148396633,0.456770070153371,0.5120472370565118,0.581190584766107,0.6136102837211672,0.6739595895029759,0.7020851277217794,0.673645952652488,0.6595743162439676,0.5859140350956673,0.6463500278832519,0.5402795533050065,0.479623844727329,0.520374810272267,0.7938449939641327,0.5406717255417389,0.5191104540085152,0.6221968472591066,0.7197047625030332,1.2733229828625503,1.0704739854154015,1.030992956469716,2.1868219232030346,2.4026596346529,1.0007615473860918,1.7905456667152622,0.7940386492827888,0.6479976666103461,1.0064496891760555,0.6702336617413194,0.6485143657123847,0.6172755554505047,0.7437968907389705,0.8403939679638673,0.666488413092262,0.8452060169137036,0.9196708933804971,0.812122134811226,0.6122851097867767,0.6795084704286971,0.7432324674833145,0.5987847024590452,0.6554784547292842,0.6692070327025369,0.8505362217265736,1.0681953180444326,0.8466580432220405,0.8043213141605856,0.7286980556311299,1.2455188804418547,0.6672827045084286,0.6817219398117595,0.6565141948945188,0.6844282303497846,0.7337508457580397,0.6960886473266403,0.8704173609249509,0.6975078802871946,0.6556477518031399,0.6237579946263863,0.5797667207821728,0.7636147065718564,0.62157801849994,0.7555363190163519,0.6604483470023791,0.8309960918578952,0.7438262965023661,0.7266165529806146,0.6644875692660408,0.751456166629149,0.7162326683243472,0.6830965879521796,0.686366105253505,0.8719573672719497,0.7346429769619102,0.7973308468380597,0.7091929996586205,0.7273515427661317,0.7642377272901663,0.634253357860907,0.8638402413803021,0.6107085047175094,0.642764843875359,0.6977058234547232,0.5142404686597889,0.46774661774705756,0.4440369011419187,0.42811996437617744,0.40140499920953027,0.3936843233145586,0.46709241864990897,0.3927032991271211,0.5144528378846143,0.5592416593395674,0.5003976941002255,0.46110074935225814,0.3954688164749101,0.3724532880191858,0.3858669013351664,0.3798962902115994,0.42905622130924254,0.4788574811217214,0.462409180220302,0.561571338737448,0.48114057696275436,0.5397632441062181,0.4865280994039888,0.6386707139633494,0.5157509442996662,0.6060384072788538,1.1246720069956249,0.5266826218775784,0.4925205608838543,0.4350133217036664,0.581188803978301,0.48782779486600863,0.4316516809472852,0.4077875609029305,0.4271533504621287,0.4699009498506933,0.4271173519406425,0.5111131588512835,0.5142524754074898,0.5319632882482547,0.6557417305959383,0.6650638715607498,1.0151687445316535,1.4447304916571575,0.9247937863418596,0.7947989431641633,0.6784245319441276,0.6861465699605267,0.6048820646655602,0.6656323135918901,0.5020991627031466,0.530527452061738,0.46199257955416967,0.527139509001271,0.8493901715704186,0.6759595070003079,1.1212327567259406,1.3613721505829952,1.7514832720777265,1.565965707188828,1.5481849159081267,0.9181203552685673,0.9604693827936794,0.5426793574933796,0.5566691761427875,0.6323612482158519,0.646887368972167,0.8688026606963538,0.6502820963115151,0.7299202260501021,0.6246197467471014,0.5564244111416972,0.5513331473666153,0.5804706291213302,0.5732203348244099,0.6170576356158898,0.5584327988419873,0.8054077928101089,2.034294905382047,1.3540520597570693,1.2296453610004263,1.286452875913874,0.9528730726046112,0.8942115451137995,0.5710624006697734,0.6343129477649841,0.9295092425484308,0.5273220942333107,0.5896978263599859,0.5364713634477168,0.5618029621593746,0.6387408195369985,0.5103161471642906,0.6320798403157802,0.6157581795745318,0.5907886185125756,0.9965687618853961,0.7685549294126137,0.7996727108617787,0.6802218541877074,0.946884008460622,0.809266223116861,0.7726752782185426,1.1291651909366356,1.2869932813446956,1.4595055088212248,1.152155807213626,1.5712970978519814,1.1714050248694596,0.946942259925901,0.9164256356710901,1.6912515307720153,1.0249107698495854,1.6194006880563567,0.8623331933267003,1.0242514793308286,1.0568440993684187,0.9665876012778781,0.8610017985644762,0.6931012377100804,0.7211942698550236,0.7753282284265117,1.05227546149584,0.8054597915722748,0.9989822011155142,1.0055603052971551,0.9441604775902799,0.9435230512827337,0.7539781061923796,0.6079629957065085,0.7307248522183087,0.8579894773940928,1.286844562340047,1.4791181295838272,1.634159050996082,1.4112066905693283,1.184492582063565,1.5257270574103199,1.2799240586578264,1.1017780058108133,1.537462015801925,1.6886761149578793,1.1950025932990906,1.2899967968459873,1.6522324723067856,1.5072446098347565,1.1081447646803149,1.2441468722286788,0.9562804066812514,1.0368703287351575,1.056624476432889,0.9657022066763575,0.8186745443218314,0.7158639836143976,0.709763770167864,0.7509765405916492,0.8529168626866435,0.7936969263514407,0.8164451128505428,1.2237515661531517,1.1759804213885086,1.0015749202337547,1.1232202110430534,1.3653990803042257,1.5406579301160381,1.6429693073611513,1.8065821402497577,2.0116364231653363,1.9119752339760263,1.9020309449490262,1.5597288309099135,1.5451279261571051,2.0768510391636594,1.9285638194671044,1.947158268600541,1.9441732407190466,1.2609990761920489,1.1076896352737122,0.5532260034745653,0.43471953166360255,0.5474139866187484,1.0470596333088174,0.9422669628649504,2.0474740760617114,1.5032659976936058,0.9124696871430684,1.3905303121453292,1.1257030515910909,0.5186298070804453,0.74503138238809,0.9184636090164586,2.240575612051892,3.4871679536813036,3.7736725431486153],[0.3505482213104001,0.33787185003022924,0.3210086238371033,0.3255810193907573,0.3742191242565536,0.33280110202610297,0.2705312785697695,0.46722044331906826,0.32111553768805995,0.29929793952197614,0.3554099333769976,0.4484336549167744,0.3601254038016254,0.31716026680876447,0.4835055377196296,0.41233188481175026,0.41783109341284697,0.42617081364988757,0.4269108919336331,0.4400563829356107,0.465577048084412,0.47670528536858625,0.5861143446632615,0.6991475796427182,0.6375434079228104,0.4690131850610527,0.39172869038101,0.3736625123289276,0.4107733556945553,0.4502922022849748,0.467629692234698,0.5080172155288093,0.5288263541878551,0.5085044424521059,0.49170667109026256,0.4407645161904676,0.5013397611323307,0.4230437711657565,0.36814434781198824,0.396129251018111,0.6859747468066925,0.4651581205100127,0.44893049665501145,0.5514206348932559,0.7031771440777942,1.2583915586445913,1.0767638148408685,0.9596935495593629,2.1228815401228056,2.366577360075554,0.944411981360754,1.72961607849997,0.7143390569644426,0.5573149991594967,0.9691420229303332,0.5634764450758533,0.542849583818544,0.5153258832625791,0.6427458102208455,0.7923732995253762,0.58554826886557,0.7617886303984241,0.8374192694144792,0.7214371727068715,0.5265209126907945,0.6018801373618411,0.6700321910590323,0.5053642354185114,0.6135559853051097,0.5991290467105412,0.8228371076756328,1.0298375146347243,0.7898715627829542,0.7595236983941808,0.6274818418964353,1.1143261593383273,0.5400158331396323,0.5253366883225151,0.49460126864681897,0.5202371193980432,0.599729561031614,0.5798656492556955,0.7919201124180513,0.5970117171628224,0.5668842505391911,0.504530479216492,0.47011361035641996,0.5933922882503884,0.46399343830919587,0.6114846140633886,0.511466681599948,0.6893489194284692,0.588920741621295,0.546813518320812,0.5094916396772905,0.5812166837276317,0.5710896111202597,0.5274221152940112,0.527199226137052,0.7420688483913082,0.5740814040054554,0.6424369731158482,0.5309350463910414,0.6121967242768043,0.6639695304302075,0.5596636445267561,0.8088192557003743,0.5112914372344037,0.5567796712277682,0.6476288159673752,0.43359106611454135,0.35894595963645354,0.33832332706133394,0.34782653423465104,0.3232999365447513,0.3309339505523738,0.4035518029205616,0.3291949717264786,0.45839853678870685,0.4657873450185774,0.42613487632323604,0.38957438988301335,0.3359526753292153,0.31148075875463216,0.3096274136852737,0.31287377331027266,0.36648307098036514,0.41989770125335224,0.38277666785792624,0.4813209969688356,0.42073624995466796,0.47417191180166235,0.42099386274466233,0.5600495382302224,0.43367074085667345,0.5319599642540526,1.0566368441164582,0.474539345854031,0.45351666114111355,0.38434137529676843,0.5774051581901928,0.4820426965969712,0.3943887655373744,0.34940006228480575,0.33237415128728076,0.3640654439861134,0.32920644511527214,0.40385005865592016,0.39537554534980357,0.43165578933121185,0.5520917288179567,0.5404554099370076,0.8796045637983635,1.414923215872999,0.8497593955622812,0.6384965581288254,0.5326790555310229,0.5446020476032171,0.44914947067019667,0.5486070733529338,0.4034943502312598,0.4164055024485848,0.3551554193208286,0.418085272615038,0.7350101184474704,0.6129530800581429,1.0446334906059584,1.3208213061146972,1.7215110536023615,1.5457846322800597,1.5144055497766746,0.8689844783344508,0.8760053767471663,0.4492144163345997,0.4355791337461825,0.5291919900230241,0.4996887213956834,0.7680007716135528,0.5230852207569375,0.6423783454665541,0.5350822291094215,0.4770723191254956,0.4758231424709507,0.5247065251482843,0.532212489411369,0.563876237221469,0.44741221476805687,0.7601264730436634,2.0471035195569334,1.2736669940212821,1.3032790193705701,1.3494916043965237,0.9916928355649034,0.8998366384818202,0.5520404980450782,0.6057935290466685,0.8852013235820162,0.4824783986623735,0.5613027631475218,0.4770005433701794,0.47461138123461905,0.544959381238827,0.4273859691289163,0.5568116764088851,0.5398459232885184,0.5531588175016078,0.8931452515173538,0.6722000781201486,0.7877688455622528,0.6022019836051845,0.7717533096758644,0.7160877113440794,0.8113908712511627,0.8954866120488553,1.0527895424669709,1.238438147942757,1.0338456918277132,1.4022588595118153,1.037342446961068,0.8204039889499172,0.8166818932729598,1.527323258430914,0.9401406342187272,1.5419099666954574,0.7825572269975813,0.9175771390822114,0.9538567864772847,0.8289545280250938,0.7502489382336054,0.5998937362969958,0.6273950519951579,0.7296154359714344,1.0249355933901902,0.774681817787965,0.960968490993595,1.0157724162540527,0.9539905336825762,0.9611445721013451,0.7214688966994754,0.5066394120265406,0.6241206475730172,0.7518689025949276,1.1772444567209241,1.3437583023513653,1.5153916348914824,1.3089128110910713,1.0657362021690757,1.3914567825226893,1.1970919507765607,1.031331705520849,1.462729802511151,1.6353731063163486,1.2060804518782742,1.255221454791933,1.6180131366313664,1.5714628218497166,1.138189500230497,1.233494596966404,0.9224502940967912,0.9694674924899506,0.9765447142923908,0.8623371361344874,0.7312025606190958,0.6314725905407871,0.6140028821357191,0.6667729078661644,0.763836355279593,0.7254433250958708,0.7560909637681938,1.182910373801994,1.1293290635707849,0.9794150131808838,1.0974618412551755,1.3504492825388594,1.4892856184008285,1.5605151865703772,1.6985850561149123,1.9098675154020042,1.755058343681708,1.7498867521806543,1.4215087218148463,1.3493696685416974,1.9268263910539403,1.8280414900725706,1.8788757242482441,1.9232718112690854,1.2092591546652018,1.0449860563414792,0.5106311881286038,0.3860641125354313,0.4560200830077835,1.0439106309294905,0.9001339983418241,2.0766807532643337,1.4412245930749077,0.7012859951533065,1.262400773750216,1.2307969324429173,0.523063109453915,0.6801172640251428,0.9349233084273327,2.3795574121428476,3.383227916926615,3.4822667920974983],[0.3246159695000914,0.31514311450672006,0.28629732990812956,0.3301231116038292,0.3838882030607407,0.32718231686761123,0.24053484620025758,0.4551362691929646,0.29499951744675385,0.26175520810406067,0.33529576424875795,0.44526262031289404,0.342733126087506,0.29266057592057526,0.4700782026592366,0.40113694622730806,0.40437150799882743,0.414886378317428,0.42675977238103335,0.4197312232713528,0.46234506523048224,0.45707547985525443,0.6053276351931626,0.762105697382905,0.6293169015739195,0.483620027523314,0.3998888289691319,0.3636551591524461,0.39365828755349364,0.4452996246501366,0.46317833623309135,0.49982763126625496,0.5492225547462328,0.5212076786784495,0.4866937418940201,0.42799263821572203,0.48485511072367343,0.4011576362260797,0.3410432778075873,0.37642187850653785,0.6696335837926408,0.46454605948572136,0.44085372305523174,0.5397375944427378,0.7152964067652263,1.2374527147772227,1.065683052325327,0.9488975752209128,2.0820484739263705,2.2935083837162624,0.9388696568922796,1.7044720664804294,0.71923794589482,0.5771877480394627,0.951574126251279,0.5391702358899577,0.5434122458059585,0.5128500055503572,0.6336326320642179,0.8134998004709331,0.5607710322234822,0.7583856658846752,0.8366852768795259,0.7520446284482489,0.5344651246093562,0.5979298711258882,0.6876025213224094,0.5112912615033055,0.6378572428495898,0.6201731306261956,0.8077210767711861,1.0455926390115575,0.8161545705292185,0.8153265607953498,0.6285644320123895,1.1774101057025617,0.5410295731603084,0.5417099668912785,0.49434691332583425,0.5082538142997481,0.5753688613447258,0.5671445785619252,0.7968146951334588,0.5834235995881889,0.5639265981669201,0.4886738238180816,0.4486874995463072,0.575346179632009,0.44854697624382855,0.6103617537924929,0.528173502088268,0.7168174052507615,0.6081376833045293,0.5622639890994341,0.5161277372259069,0.5982118983241855,0.5694411332277569,0.5356015072858866,0.5312817720740981,0.7570775574810071,0.5779529097805428,0.6533565984187361,0.5237780781332884,0.6050222083582086,0.6611048536777798,0.5415640338685189,0.7946811409703356,0.4976528015531252,0.5440019707409839,0.6451121128327815,0.42112849056492585,0.32504344903738946,0.31084790031989196,0.32962901925195004,0.30785736943266184,0.3322094046405721,0.3806806106020407,0.34341980831076635,0.4651754585969268,0.47025713255729445,0.41540976086514314,0.38132602139800253,0.3188324022281497,0.30052207365505507,0.3067035020061609,0.30034624473367755,0.36135091073228537,0.4042707328047599,0.36250453937786586,0.46312320716638805,0.4225018563898661,0.46761462854642016,0.41337938769103805,0.5418799009275257,0.418196695057774,0.5139406286376335,1.0220716270685362,0.46135793859777147,0.45729199039558655,0.3989887305110271,0.6207027187111763,0.5290393137800029,0.410857062317936,0.3484993383084088,0.32670757287565294,0.35271839633054797,0.31440783452582516,0.38335914138025773,0.3749508828879492,0.41803508101569653,0.5448060307806754,0.5538669970898723,0.9066415264572097,1.5057073163095378,0.8932434747115374,0.6586363537258189,0.538389549296572,0.542405820612027,0.4451882928225407,0.5284280200730006,0.377974832487005,0.3981948339602061,0.33496292166786634,0.38748084798153626,0.6596172430517707,0.5974622488613304,0.9988669356484329,1.3032345628055484,1.7166483356750086,1.5462935048618853,1.504631508454772,0.8528336551129371,0.8337271965100442,0.41501299590330043,0.4132399382074462,0.5174469801245951,0.49778266688795064,0.7698686188076372,0.5135126360468991,0.6263005838642923,0.5118191577520899,0.4538840012853193,0.45417283768709854,0.5123351465088581,0.5190488243666244,0.5369826758797488,0.415749129438831,0.7204449907351826,2.08205214145781,1.2106273527510305,1.3590428950687061,1.4270266519891344,1.0491221396476633,0.932806147432355,0.5711303376106798,0.6323860824311743,0.8839483958576574,0.502140920878426,0.5906386640861914,0.47929444955022066,0.46998230175632577,0.5355639786441719,0.419275258066056,0.5624126284410386,0.541740399288983,0.5574703044392232,0.8783395743598821,0.6756485686379142,0.8064232608858877,0.6014121025150884,0.7498896074592039,0.7361424544453004,0.8507991525285927,0.8539281729221075,1.039476553606313,1.2421203392497184,1.0717881195855412,1.4573945527052707,1.0682489697522213,0.8586982879577554,0.871839607459536,1.516886710340865,0.979463050040616,1.5363075347655588,0.788683384390137,0.9081158829756019,0.9404328624648233,0.8114460464336367,0.7632798532081945,0.6197369590111109,0.6348428585973531,0.7747336807356445,1.0922840569996939,0.8222275029961327,0.975388833486937,1.111173341507495,1.0332603442154769,1.0119978441660615,0.7647102325573202,0.4979736911094778,0.6123316747619071,0.7373205573364856,1.1669017430442805,1.3488742233504754,1.5161802787082974,1.3063405938927086,1.0752749948169704,1.4106640383839466,1.2017742832611602,1.0375342263726737,1.4877336813433633,1.6583865214777627,1.2249343649544628,1.2926773199617339,1.6753112152084928,1.6211787917390812,1.1904719462333693,1.3003814487042353,0.9648574471326363,1.0051229077678334,0.9938227329127651,0.8734298312805655,0.7685819470711596,0.6500928594883183,0.6251095102053728,0.7018921963494222,0.799521927776067,0.758935048944643,0.8136810080409708,1.257038397169258,1.183530865446534,1.044463585666693,1.1829793461653912,1.45032629353881,1.5768901366375845,1.6355904667185732,1.8135020476603045,2.0100504758904325,1.8583477136150512,1.7960774967468507,1.4368100401762678,1.3229174230810123,1.9295247646332423,1.8424489019998496,1.9291557697162673,1.9641216353477409,1.2386690714321178,1.0320142036647293,0.5255820941036422,0.3905004763919615,0.45610431924745887,1.041496940286833,0.8862919400833242,2.0887454396178553,1.4402027298100362,0.70088232122951,1.2826019997264313,1.2347298971938887,0.5085185627815958,0.6583224893444531,0.8921473277821916,2.2597767556044306,3.458421046465339,3.6989656878559836],[0.33156646520392463,0.3659535955556885,0.34090957046900217,0.39472969893150595,0.39545008937599124,0.3505938627413837,0.2547029661533612,0.4612843635217242,0.33122635499686615,0.2913721474148279,0.35894879152394416,0.46326677457197923,0.35518860741173075,0.32521976783819545,0.4978499905869202,0.4338018193135925,0.4247396321050964,0.45390064007328956,0.4713251343249342,0.4647303401116128,0.5212388042901333,0.4968775244367501,0.629298049722699,0.8310559478740507,0.6392566449338025,0.5315541557215172,0.45667837310322906,0.4031939209240806,0.4268014266502653,0.46981540561690305,0.49066843280525796,0.5148706269316317,0.5623901766172239,0.5421252841324969,0.5066981213536424,0.45882701607134496,0.4935427135938219,0.42133324531402566,0.3721058778036396,0.40508854203392236,0.6998369772040559,0.4999982868070378,0.4800513229736358,0.5732718127083881,0.7700144095333133,1.2409478275240586,1.0683480477559368,0.9599041554952096,2.05440887172921,2.165812466838729,0.9332108506083312,1.674975326258919,0.718896931189568,0.5974082367883811,0.9570761700323774,0.5418273407372376,0.5729327549131721,0.5534517019200993,0.6586069591288494,0.8259608325551442,0.5956256808367877,0.7696649243023742,0.8480502795872376,0.8050637342628097,0.5847965976351986,0.635375960339955,0.7153414371514648,0.547652742947968,0.6745288568127032,0.6520305639354226,0.8218907242211977,1.0677237011415204,0.8377277611744239,0.8574804624487533,0.6524182133225374,1.2270916679872768,0.567988097053818,0.5667538012210129,0.5152412038125362,0.5251460227779957,0.582756289624485,0.5894657352001079,0.8018920336305079,0.5913469211830584,0.5986802623532707,0.510616939949129,0.47704207555248984,0.5754711599338127,0.4769674937437811,0.6229234363633273,0.5558626541507342,0.742227426282288,0.6250757626746436,0.5735966438041957,0.5338121914099551,0.6104908947545773,0.5843758963280677,0.5453798332505363,0.5352823769151938,0.776861801540977,0.5784322542525919,0.6516918654949062,0.5231557926617166,0.601729413388689,0.6648021704121031,0.5538477484906211,0.7768307559318227,0.47716122222059526,0.523852651877559,0.6846589773051168,0.42292081691857863,0.3333969023916828,0.3162082259911769,0.3302038563456598,0.33706097333652935,0.3650782815102229,0.398694599697543,0.38541308418848397,0.5202592335924342,0.5063889226627416,0.4527401616302416,0.4151147817986028,0.36661688945237647,0.3200412150725846,0.3214520734646786,0.3169627721121369,0.3668550106299465,0.3794281861789739,0.33644581307872035,0.4784901100335369,0.38996064864806274,0.43230950464950046,0.389892091189152,0.5733646362892207,0.4077895784114126,0.5046323744532252,0.9748106274573086,0.4570254778859582,0.48979210780075205,0.4394862366339866,0.6476256763655165,0.5760263774897935,0.4594948901996288,0.38244863901139214,0.3592900276670165,0.377519239890682,0.3451276797590848,0.3975340635381231,0.3965357509751966,0.43801014745420763,0.5576294978679516,0.5815343833150136,0.9250756922949608,1.6685814951800841,0.9929717547177632,0.6734465896144011,0.5570900477118166,0.5554506839832788,0.4634839820444211,0.516803637861023,0.39546800871433224,0.4190485880500353,0.3526204238368465,0.3953945957400965,0.5752964838323142,0.5856512199515338,0.8929288551809386,1.1868028076089456,1.592028906062472,1.4920259142233803,1.439437159947715,0.8325819417189847,0.7848498304771507,0.429384387235618,0.41817224717484064,0.520651837689131,0.5131461145824268,0.7568089760522532,0.5167466486992398,0.6057113332466623,0.4857549988933878,0.4518021082201671,0.4498299935648938,0.4847005470031331,0.5032009407408273,0.506959713976216,0.4357656185036271,0.6829316589523032,2.135836765047081,1.1496945805451453,1.454309874086114,1.5975772850074912,1.1142596820339306,0.9416038619877177,0.555082273291399,0.5926956050470776,0.860755380698413,0.4630683211544661,0.549555218222076,0.4527116753296376,0.4226635670114796,0.5062094728073284,0.3920627249235209,0.5186840959265044,0.5042816574782832,0.542705743958477,0.8197869000038388,0.6299224787871471,0.7776787223606652,0.605254747837556,0.7054790345934079,0.715243745837216,0.8415947772986352,0.8067879443184619,0.9730443521969749,1.1209676823476404,1.031115231496837,1.330219144159834,0.9880615935709115,0.8020264439142134,0.809614108120386,1.4730704447331406,0.925403631837544,1.513949218109738,0.7643528776395477,0.8728101748009156,0.9050350587420085,0.7727506854782666,0.6879114653494136,0.5496461833849865,0.5833671153957152,0.7231397890881686,1.0124553241597758,0.748879043592927,0.9598304886580481,1.037869215425567,0.9866458658443964,0.9869063663565092,0.7119593454638287,0.4498566205105781,0.5895674229862204,0.7172554128116893,1.158025714472164,1.3043689788516675,1.4999375574043003,1.2516372657861428,1.0161471847013985,1.373893395518753,1.166502331879292,0.9902615433691248,1.411777284637617,1.5764070345378518,1.1638655232095185,1.2129546903680615,1.567545278077006,1.517998127899964,1.125489061587632,1.2127936506339412,0.9084975860061019,0.9404345309333584,0.9386279667876799,0.8278038025821884,0.7073404085205967,0.6120148903694411,0.590579648845463,0.6479009911188025,0.7452314320164724,0.7020440968543297,0.743668403859542,1.1887021612900106,1.118150526698726,0.99153887043238,1.115083095674296,1.3835606853430764,1.4813811137729962,1.5078856382332728,1.658360912899705,1.8748116307700853,1.6948801340030133,1.630865048819105,1.3123802709288888,1.1619759794588442,1.7403355364936581,1.6965189300267636,1.8105017741023681,1.9004057400288594,1.174524540856919,0.9790629827163496,0.48453459213124067,0.41072942967322007,0.4739911587107334,1.09742539954025,0.9570993696416168,2.1965840892095634,1.281140399937643,0.6605685125456282,1.3141865170202405,1.2403874482804589,0.5412799540625051,0.6937242881566337,1.0717427985064498,2.683054354970715,3.905178631908111,4.094081667285067],[0.35472743268293877,0.40488632816400094,0.37803923834504166,0.42555375146835556,0.39551068836639913,0.3412756152533076,0.22141369852346357,0.4103027397753555,0.2790981272300194,0.233274949312635,0.29638673752498135,0.40703231105596954,0.29837091123773984,0.26970983536921966,0.43433633777831504,0.3627957191239068,0.37510586099119714,0.39562366029948326,0.40843195758324646,0.3990084619005695,0.4554678079287153,0.4421968857863618,0.5840383758173373,0.7579886903455186,0.6288967165455226,0.48295206470250984,0.40282074125187983,0.35331354185644775,0.36354892859360466,0.4044592183267659,0.44310250114988325,0.4520874812039323,0.48499377559507545,0.4620383968265255,0.4411966735271704,0.3887717797989035,0.4242867619542134,0.36285126523216077,0.320493373633972,0.3529059729253183,0.6575821187813893,0.45523740193831125,0.4320843418433233,0.5406290599592841,0.7379067241915667,1.2501267912417484,1.0795759728076908,0.9432323852316231,2.063347935393813,2.22742598316328,0.9204325029069812,1.6860525975335956,0.6944085401558173,0.5746104193126357,0.9402034957928876,0.511295450127538,0.5316770180099523,0.49735579663623153,0.604937648022379,0.8085784723156983,0.5538701606092028,0.7249331560463902,0.804136047723054,0.7181646751486208,0.521378227019287,0.5838254974858282,0.6543420845673488,0.47234358597200415,0.6249614400462633,0.5942459700757322,0.8033193779361466,1.0318321107026307,0.7829001398291043,0.7845355267647929,0.6056059147523098,1.1338471112319846,0.5028729338409776,0.49286035258532607,0.4440377249060518,0.45796399668538235,0.5182940710105961,0.5345513686412913,0.7571870296979468,0.5383258958254027,0.5558140337054286,0.44858749658675956,0.41307310937875924,0.512213464112679,0.4080138530959319,0.5561242303175998,0.48631619906286494,0.6927316445257685,0.5839103420812188,0.5045461523693432,0.4743303078230188,0.5582259675644089,0.5332581615368306,0.48641494409590796,0.4636623884202853,0.6932451993259381,0.5023063577487438,0.5736160175834536,0.4438793537480628,0.5434260941825532,0.6050963077540745,0.5089869319779785,0.7323233423258264,0.4510757076866336,0.5025434262593966,0.6592311738919376,0.39666337039081007,0.29426270342845684,0.2749019073271551,0.29947070385510355,0.283734188492987,0.3263737691281524,0.3771796917166056,0.3418349522076857,0.46773353714263294,0.4560960387784638,0.4039050447711768,0.3679639974401696,0.3240177970909454,0.28968470492975734,0.28993879885261814,0.30169689757541274,0.36353164764660145,0.371705076862779,0.32306174126534754,0.45049230815904817,0.38193450178873034,0.4152796903141281,0.38264418139035605,0.5318916425350594,0.39591655787230107,0.49817111208642184,0.9892247186392468,0.4490037612433261,0.47146295471913735,0.4161837767016933,0.6200281454828572,0.5411201426568301,0.41881454304157784,0.3423729931855943,0.3107847269839159,0.330841400708731,0.29560501403182043,0.3451159892845237,0.3362413648512649,0.38799794328004983,0.5026495337210507,0.5172958540819179,0.8315130753888496,1.5454772966946324,0.9260737237239473,0.5881668586256511,0.47864172602360877,0.48519195598118714,0.3880989609080204,0.4667725955978708,0.34983920833617,0.3621622859799753,0.3148980479450856,0.34829302391658523,0.5817564821272926,0.5762619430317156,0.9195557006492847,1.221098959194168,1.6227250801625224,1.5130315124152045,1.4578706366758651,0.8326998969417455,0.7800394823487036,0.39006856455525213,0.3664317894555032,0.45588953050280284,0.4452058963692972,0.6924135922204588,0.45020489787253276,0.5503396352416385,0.45495512839850477,0.41216784979014237,0.42409967618044103,0.47651989664101135,0.49428952379088953,0.49737365634732306,0.4060282663939294,0.6819926195634118,2.1236572907535254,1.1544497361964083,1.438846681544073,1.591313086662778,1.1243041708814223,0.9527827126673415,0.5604271998319201,0.5954081296633496,0.8605396589982335,0.4651053666777943,0.5495933723467099,0.4440742621178099,0.40954429884967425,0.48222120703124816,0.378214836852906,0.5129899145729434,0.49513539844303556,0.5481849486114421,0.7960523028397785,0.6157263176514712,0.778491257116362,0.6240521718206509,0.6835887542795962,0.7132040089759077,0.8759296620344905,0.7881677911851065,0.927532264884373,1.0446017696534151,1.0062209480126443,1.2442239554224432,0.942521892295447,0.7677085686536552,0.7759879943793735,1.4167902915062356,0.9005612923547535,1.4999141484763086,0.7687272924063695,0.8467220625607925,0.8703187975309273,0.7400183201035992,0.6665344425657644,0.5414574695330887,0.5727008662824684,0.7260592167860546,0.9956734934822918,0.7385068184752914,0.9541050225784325,1.0201928841673866,0.9735954454336408,0.9875192884790932,0.7062217915479554,0.436258705778402,0.5685117523479456,0.6918441832711804,1.1187569473484464,1.2276692234151212,1.4426803515679159,1.2123003965475685,0.958014816548886,1.2853575705082154,1.107684234225696,0.9505900327662772,1.3533850106618976,1.524570924548763,1.150540174830359,1.176057454308437,1.5127117884509989,1.5112102779240777,1.1203701154233678,1.1798224930904886,0.8920563222462363,0.9045648943310337,0.9039199239267459,0.7948985251056887,0.682124106228573,0.5994209528189647,0.5800226101895128,0.633720827606426,0.7271240605822612,0.6885325680971613,0.7269713376318887,1.1535287952115787,1.0853029919408723,0.972692113038235,1.0825442695309968,1.3283058652617763,1.4198546853018987,1.4327798248786638,1.5525172788103576,1.7752022031180439,1.580613654294277,1.5397043750107244,1.2473070473355132,1.088392303629011,1.6605293885560668,1.635341846287242,1.7459745994074578,1.862646493048484,1.1513425412733118,0.9646725165547937,0.48304644165608507,0.41346241990776617,0.4944347301026211,1.0847378408651163,0.9286824987197875,2.1654690163471795,1.2235755146417524,0.5992514571133046,1.2103767642801135,1.2608985119003158,0.5521463273914158,0.688966317678898,1.1039054154390608,2.708933821548997,3.7580186902689263,3.816289395147423],[0.3860643440410891,0.45633222128321566,0.5191837911014834,0.5656982154498609,0.4280947123987359,0.3877869632346199,0.2945398539679743,0.40054391134668493,0.3259852120201445,0.28088888016025043,0.3368642976432351,0.43445911757687805,0.33919944657413703,0.3204297536148488,0.4339989111314988,0.3790944829664198,0.4131628755229177,0.4199614969923452,0.44688205669329933,0.4357964302441465,0.5009657616983211,0.45872506526500195,0.6248829944545782,0.8248458796046243,0.6533085157559744,0.5248325150585625,0.46145840982165925,0.3966191643120006,0.3945763527058541,0.4313007408728445,0.43846186938134246,0.42644168346553724,0.49102213437931624,0.49011199550638224,0.4458626129435683,0.4188969972512294,0.4374699644066591,0.396294630946419,0.37910001388634784,0.40595586171620257,0.6641021142726045,0.49060123796036764,0.4815431620516618,0.5662235055986717,0.8029346469846814,1.237719515655158,1.1083504882963664,0.9396509015252743,1.9634593413735402,2.0813796393096666,0.9327884912784886,1.6309331209143685,0.7327545152950246,0.6496578345931769,0.9587719572627094,0.5289922703206281,0.5565851571386465,0.5377694704790259,0.6052649535179996,0.8523419391901744,0.5893179757825281,0.7182690232952471,0.7893563838526643,0.7492171222441191,0.5680143387312127,0.6119613916672811,0.6805074604611941,0.4956357848082329,0.6620980718733556,0.5992087158978694,0.8109357434692099,1.036245769082915,0.7761544071966885,0.8105338505312387,0.6057475943269401,1.1664680796018494,0.5180790456555084,0.4961538375001841,0.4554134494874506,0.4728542412377126,0.5245483303440942,0.5653533556513597,0.7870759423848523,0.5507013378415159,0.5996692950215596,0.4854482368250009,0.44886712939038453,0.5077822860359662,0.4238802081521601,0.5793770974086486,0.5083743115593029,0.6915901908514317,0.5760762385432743,0.4888936773354809,0.4648698238857154,0.5574961027077994,0.524845829047226,0.47256071864995347,0.441012651354807,0.6922988292643449,0.4892020865497498,0.5635487475934357,0.4313491375730078,0.5420158739256605,0.6093424321078591,0.5341191545083188,0.6976236091657627,0.43243534664417893,0.4746734845218827,0.6796642891205155,0.40113194664814095,0.3268961474769561,0.3103515600881888,0.352334959861983,0.35364819431376526,0.40658778928181355,0.41472129006176006,0.4308373993376457,0.5587591104707053,0.5001476773168211,0.46676387924142604,0.43359454536675773,0.3997113423611566,0.35303817416603595,0.3503044109805485,0.3607196278648423,0.4212731733660384,0.3815984995965217,0.3364490790490937,0.4499433414556438,0.43658918948222636,0.440965241785931,0.4283003193139796,0.5466634978699958,0.4306043700893053,0.48425212081987684,0.8847083547860083,0.4929213662732461,0.5527864827263224,0.4610018715984525,0.7043833485281064,0.6472989678074605,0.5203686519123616,0.43291112068568394,0.3949628305036139,0.37638750384565245,0.35651064817127476,0.3714413781897787,0.3758329824192616,0.4220027048361141,0.4910924592343817,0.5493657305247486,0.816610501708954,1.5965504126065888,1.0156772478735199,0.5911402850892875,0.4754819735685328,0.4758204959252308,0.41257013303157297,0.47002833750455375,0.3813749903618062,0.39772370033783266,0.34944298814608876,0.3696070322077329,0.47397705261529893,0.5856544769934703,0.7716275028243552,1.0915309836408154,1.4617050367736433,1.400151843455212,1.3323242391100232,0.7507860133907135,0.6563717244549336,0.414003740568854,0.39369016283875047,0.48290838931453844,0.4576031721363794,0.6765587116848032,0.45989835843457977,0.5542673639829364,0.44857705968595235,0.46769335324012956,0.5007931631313969,0.5442701671190036,0.5557652367559425,0.5454948299913343,0.4449359028279916,0.7139848689061088,2.1868543583222326,1.1154822404538756,1.5889623003286042,1.7765548032625142,1.2415552834360781,1.0207643614756978,0.6232786318301321,0.6792950338400331,0.888638630881878,0.5523310690636356,0.6287640570626621,0.5199974824893228,0.45773928440356876,0.46934035529543616,0.41068384019469145,0.5568983628141665,0.5061511739077532,0.5649499543249008,0.777159690702372,0.6272805030684415,0.7710290774832252,0.6729979441815838,0.6856553524567672,0.7440575397592112,0.9320004260881407,0.8080367295354519,0.9317667665054042,0.9775874051499324,1.0108558311828646,1.195324192168365,0.9294660016373505,0.7721006083260523,0.7950279194011657,1.3781903552383947,0.892498545547776,1.4115444115309106,0.7654152344938883,0.8103397301304297,0.816076883544951,0.6980685266606481,0.6603674222306449,0.5716617299360773,0.5809594803833805,0.8003215120121864,1.0379830974113975,0.7807842958692002,0.9944699393616689,1.1084501368400235,1.0797724904242563,1.0878726997968404,0.779659674847387,0.4530528504598245,0.5615507738547738,0.6453189179835134,1.045848757667744,1.1237627315522973,1.3689993787368235,1.1084964953568246,0.8801569978968625,1.1898754964565639,1.0236230669742845,0.8794937835704102,1.2593137567216528,1.4343122815325153,1.1059834551034213,1.1100802429636105,1.4243870286425901,1.4640983282698392,1.102075436531286,1.1313444439589513,0.8638736484056221,0.8450169764309985,0.8355145918353418,0.7399628145559645,0.6576768855017758,0.6020326191996695,0.5845199730343411,0.65095120255677,0.7432078970464586,0.7213841957784617,0.7699945362665136,1.1954893348757343,1.1111720003352783,1.0328475085515898,1.1391220832262747,1.3427006300136068,1.407172331437716,1.3900927302985222,1.5216763765204477,1.749852510540578,1.5144508607134868,1.4434121098722685,1.1811195518331825,0.9579307517578141,1.490470669604944,1.5154671501946206,1.686132076446899,1.8538372172089066,1.150063124725815,0.9522855830478609,0.5534349464492349,0.46715761653807647,0.5875144717810086,1.1442351765350596,0.9663294467353418,2.150366733039723,1.0733406525238667,0.6071392696105987,1.1544531755112386,1.2605096674739986,0.5824186815228503,0.7018269210196336,1.2262964966521046,2.8680751609047577,3.914803706881171,3.961100486841402],[0.37721172534798975,0.4410200054588034,0.5556712597256571,0.5539664659783099,0.4227222312910656,0.31816621559328406,0.21615596756536157,0.30125864928742285,0.30360367433934476,0.270517710726107,0.32999140741267036,0.4003278690218411,0.3215888083943518,0.3145900320474227,0.3912036946062429,0.3551762045917339,0.3812373350996042,0.39174621382956815,0.4134937882467005,0.3862429069784291,0.46764897627285396,0.4502887751811336,0.6468081403723566,0.823805268807166,0.6691640501032863,0.5248119841379191,0.45360321357829736,0.3691568139822042,0.3617479796414947,0.3860490212846001,0.430230058489998,0.4081469078112199,0.4498827460536845,0.43922633138468714,0.41079524074327395,0.3971218984941925,0.3883081647636473,0.3925024933027697,0.37357077016794765,0.38906074432260546,0.606377967943835,0.4851571899387349,0.48292118317734084,0.5883057017151292,0.8356729725960426,1.2546818599918457,1.18117097053069,0.9395229686048916,1.9087599610339252,2.0911486621134787,0.9776763589634299,1.6235498256399659,0.7040185537094498,0.657816448648551,0.9423544696510172,0.5344955003813106,0.5557367140299896,0.5387370533960802,0.5693273089197572,0.9423116970102001,0.5789928831232528,0.662760828090756,0.7342620834723177,0.7241069099005042,0.541031467165859,0.564770410013597,0.6202007237186491,0.4452090923142183,0.6476971907575604,0.5828476894275343,0.7813821310779433,0.9988578973390236,0.7468832235074608,0.8013747517717664,0.5850370482917266,1.1373987212863084,0.47783259556993846,0.46497798388950234,0.4137532139341082,0.4384430638962533,0.4890024208837438,0.5160986494552927,0.7577189025875426,0.5031993927350564,0.597531645617784,0.41585769817266405,0.42060441968160345,0.4518152202622235,0.39206602536484925,0.5215759525154445,0.46938604523083044,0.6817247689031251,0.5829633175441681,0.48008193729891724,0.45518707419662374,0.556526960438443,0.5282028822226045,0.44946061376036794,0.4028354098570985,0.6260691623668769,0.42462250678698965,0.4818837636838114,0.3631793621146393,0.46751823319396063,0.5544148589810919,0.49122037110204375,0.6027025733588354,0.4035495041134638,0.4337301717716362,0.6226364500697668,0.3360596486484177,0.2660346635050434,0.2136052306761388,0.28992729011109036,0.29729803566575447,0.3476062893224034,0.409353555145167,0.41412596680222535,0.566203075295544,0.44902894181272174,0.42340742741789095,0.4077807512960755,0.3483355134514615,0.2761379297462915,0.26737050673132046,0.2892205123692036,0.35689850272004403,0.3471498201888574,0.28501552756822124,0.39590450235039515,0.429968083730454,0.42453845589572986,0.426648493153397,0.4581058920490461,0.39725405816974796,0.45618306747180604,0.8059096109387214,0.48541894470585767,0.544102591057708,0.452722116887373,0.6876399175939035,0.6756505367312782,0.5164876868467435,0.42764270311920555,0.38124066278990054,0.3652712332180033,0.3249146918194395,0.310758836289553,0.2873976973881586,0.3479643018188529,0.4058587880696071,0.48664255470481244,0.7198052677445579,1.4950828824980784,0.9831873192006021,0.5178148800491498,0.40558503657537937,0.38950337128944396,0.35201491425135584,0.37121786598077033,0.36382080129745453,0.35711915931781546,0.3157813561169112,0.33975180826152546,0.4265553987458268,0.5463852135480937,0.7547907877709276,1.1361872544298512,1.4798502823465547,1.4078991836602324,1.3157594088192508,0.7265702257930594,0.6068007202118669,0.42994320647910717,0.3483495829905045,0.431527561639298,0.4232990122701487,0.6365330763454916,0.4104687851668369,0.5164087949387726,0.43805112137557844,0.4288157400894706,0.509447025260207,0.574739462404896,0.5910296913720766,0.5511625039605231,0.4377302577830865,0.7414898656934519,2.2684598632198743,1.0588949493191606,1.739440897277841,1.9245800552708834,1.3595856169069238,1.0987140210417132,0.6941273449696997,0.7390504644005024,0.8701961217864889,0.5926212338471334,0.6740802882374193,0.5236686338224089,0.4480191063822147,0.395564238135426,0.3588310630819511,0.5363511332130951,0.4670060674109468,0.5579775815292233,0.7039850671768176,0.5944109858990896,0.7724224088428255,0.7311500721773572,0.6819464989517464,0.7981422910406643,1.0422444220138094,0.8488704813978508,0.9420793096677887,0.8793368726143599,1.0153014925488835,1.1026308809002527,0.8739977429875204,0.7413921996041739,0.785566894437114,1.268297822790747,0.8673841708280086,1.3300996906712947,0.7036066737847255,0.7066258645768464,0.7153659708784895,0.6420197013560291,0.6645006577810476,0.6017465212230086,0.6130544351951557,0.8928805751252822,1.1048370400335816,0.8506037533832715,1.0315283444818553,1.223743794072077,1.1642322871151995,1.1658375054050167,0.8283446119994444,0.4683541720115481,0.5078865226194168,0.5734971291483671,0.9263081005791095,0.9742244192438655,1.23765520166293,0.9943098263924307,0.7828787162618506,1.0497707857584178,0.918059922749998,0.7982775151230186,1.1714215201340314,1.3639436283590363,1.0861072042784323,1.071265934867879,1.3864492419822583,1.4963831223736603,1.1283395527670723,1.124548693423337,0.8608334497393594,0.7905261874893241,0.7637528586721161,0.6588696985209266,0.6122233683551154,0.5638883999126244,0.5441970994257262,0.6393823049699694,0.7230772926904325,0.7240692116576619,0.8065850872825903,1.2299274883662588,1.1063312423933929,1.075904112223153,1.1900787565828836,1.3833110335095011,1.4126674464587792,1.3388433511016673,1.4944272630837268,1.7071393620395872,1.425436206868479,1.317616885536546,1.0704739115942477,0.8048697202506669,1.304502042670096,1.3807124855821682,1.6146141161816505,1.8128790075268368,1.120500777364524,0.8707420860503785,0.5460799669903168,0.4265355287794831,0.6705171130197398,1.0841115747228163,0.8809127630965596,2.0403955708423447,0.9535451386045127,0.5951680170961143,0.9919373330380303,1.239834766202955,0.5542581820041169,0.6829517795584044,1.1184732724950626,2.6567164637209846,3.6233310918199657,3.6180430217686266],[0.4119019493005442,0.45959493479536156,0.616685039909307,0.6215730817994017,0.48747252244119343,0.38078651096345667,0.30775539285104686,0.33422498346141705,0.3406721457206265,0.29649692008612605,0.32453839459790945,0.3761925398682961,0.3360824013292787,0.31567196350236465,0.3633087023668185,0.35310463003106624,0.3925632675545368,0.3841329205311752,0.4061976713771393,0.3893639729369443,0.46587168414230373,0.455171354249392,0.6420642503233263,0.8213761979073344,0.6676391893640281,0.5222749354957537,0.46640618621589186,0.3766954593522908,0.3636857546113346,0.3887946998766352,0.40585006596463424,0.4059693107884454,0.44400398368837857,0.4283999310658446,0.402658925518282,0.394332347361508,0.39142201687026473,0.40278692086854023,0.40342506703211783,0.41890113344218455,0.6387480930366576,0.498021539526738,0.49587431795499387,0.6122553114177279,0.8515176158124682,1.237772104250596,1.167902046702263,0.9584508048090605,1.89880201382045,2.0355661137123384,0.9972304844319694,1.6163432964867779,0.7092317497006689,0.6809061314392343,0.9341901999256694,0.5449819181591976,0.5825910719156905,0.5603151882517725,0.5760171450838527,0.961341080919613,0.5975239019525196,0.6604962911365544,0.724516267046406,0.7033048930521677,0.5381578983821451,0.5755038178435773,0.610781638941695,0.43125502674360716,0.6237020902954196,0.562277109489592,0.7744150351147403,1.0025313904809647,0.725346948319415,0.7867911558362125,0.5662309603567134,1.1120940940032555,0.4659724077307161,0.45236501178872923,0.409545109412768,0.4381189082440698,0.47583493769389174,0.507662374837707,0.7652512222637515,0.5060862844670013,0.6271142850770025,0.4309087768317162,0.43360252291676366,0.4455348364637484,0.3912534149154754,0.498692301434531,0.44975095609080346,0.6681642262201489,0.5650127435528483,0.452348983742313,0.43475553658314847,0.5352523124891185,0.5311167338961951,0.4379361001150414,0.3928236765650673,0.5725640822702317,0.4185097510812464,0.4859289929306878,0.38093037544422714,0.4904349680721861,0.5719339280057001,0.5314889417363734,0.6055305236928866,0.43506554358645105,0.4407226012344693,0.6474452437272323,0.382767762622446,0.3343884457260408,0.2870735326532331,0.3484975767735808,0.33786250089146125,0.3830058246585815,0.42053411226857207,0.42147993514940907,0.5740843144886018,0.4579538495253602,0.420854995112063,0.4138230689791542,0.3693685007298222,0.32451141316324755,0.31755759144062984,0.3309035314887724,0.4122391965847923,0.37956588349040327,0.3339604008795663,0.46119675290541,0.46500370835549865,0.45336538923658454,0.450159331592103,0.5260743672869084,0.44659077866009134,0.5000420338342815,0.7660280030271565,0.5247517633998476,0.5741152128365445,0.48794720141830367,0.6788178817054572,0.6695008032403218,0.5379528947596511,0.4566255063562935,0.41819721785045044,0.3945371562951536,0.3692275824422057,0.3662895350140652,0.35753280767150974,0.394167926085255,0.4431080503818677,0.49999570275118027,0.6908426018737455,1.4285068118807307,0.9814501527584923,0.49429232729108885,0.40611724336171584,0.4123015533943849,0.3596162725152687,0.4090816917978688,0.42359116881538567,0.4056361387392224,0.37164506757359106,0.3854029703586248,0.4563629995995956,0.5520684032251003,0.6883794364922218,1.044009766134318,1.344750495719178,1.336937930637854,1.2433796404575301,0.7238147067015185,0.599676084866945,0.4839258309067893,0.40712703425829055,0.45954333650248813,0.45923782170251715,0.6278880094754464,0.4421901890207578,0.5124099428769797,0.4830864684563677,0.4716304026330337,0.5506245637496617,0.6018341830045887,0.6095109053305028,0.5718441600249577,0.46634904114804837,0.7403839476986883,2.3110405700044128,1.0429780553218841,1.7782407923374188,2.043648478375393,1.4006291790754988,1.1079364536407528,0.6995864920134091,0.7084334855880493,0.8457634862274434,0.5998448343969603,0.6699834923735162,0.5657608353372778,0.47442348581681143,0.4546400678625131,0.4227626358248672,0.5358910966857012,0.49428479431663364,0.5998972461764968,0.6846142566963203,0.5917086974938791,0.7673276692021646,0.7468515260627555,0.6952943829351493,0.7838938813860072,1.0006629285241837,0.8680357112227419,0.9170113048184797,0.8188897394777283,0.9633744675819946,0.9830150400662508,0.7994963172032317,0.7080523110058747,0.7354461215886235,1.2256086406778128,0.8326835149163072,1.3102850651037083,0.7327227710935232,0.7225380251177925,0.740621979417749,0.6691473454445467,0.627710678257982,0.5910133864170618,0.6242628975262368,0.8717677261348938,1.009630666533491,0.7960917197116703,1.038868766328635,1.1303972908021618,1.096174553297578,1.1247228922805108,0.7855232303242506,0.5122765114465374,0.5693759269033066,0.6494540120596582,0.9859559849224457,0.9940380285357249,1.2743873811839705,0.9940582728380019,0.8214524398143014,1.0605667726937724,0.9206139186616191,0.7981610163370837,1.116063527225899,1.2934911176499464,1.0402408609426874,1.0118333913460036,1.2811068876951435,1.3930850251700915,1.0615693458711757,1.0424806787438619,0.8166397317246327,0.754869410854285,0.7501895291236242,0.6725271812266558,0.5928216864703352,0.5635533524816304,0.5544767004205222,0.6154008140308367,0.6860579507939227,0.6793561718867133,0.7513093922367984,1.128105093675074,1.0163108460207317,1.006343321222001,1.1001574770136675,1.2827923747093557,1.283451359243793,1.1890883936128318,1.365391325972768,1.5866434013974167,1.2562512851223822,1.1576963580556092,0.9602679650126753,0.7129932088961156,1.1294123715682454,1.2012229325428985,1.443205872940604,1.6547495989061676,1.0352753636665484,0.8146043720755425,0.564502708423294,0.47868510280947796,0.7885429606542167,1.0701684674883574,0.9084837331471763,1.9700369808398752,0.7363891911221627,0.7165569148567652,0.9345869810328068,1.1480614585892235,0.5838245125039866,0.7265283868342715,1.3054633193527738,2.813293276017278,3.7826188948102963,3.801364405373467],[0.3730332665543136,0.43589176191656387,0.6555195010144215,0.5950140347398287,0.4944783005370895,0.33336349927416187,0.3087305209086771,0.3213520299453393,0.3609309977269798,0.3321479828731854,0.3517276161699464,0.40460756317598495,0.3692052572643961,0.3826555638209063,0.445414288033038,0.4207523956709999,0.46231376523744105,0.4661413543236213,0.5159841980251811,0.47593755194235043,0.5531140837614388,0.5368325920185885,0.7323981697342257,0.91570073276704,0.7495653077127518,0.6119289434297543,0.5818973066458588,0.4685548275852676,0.454304911826188,0.4537921829494118,0.4815265548987648,0.4411924847090596,0.4907452478946258,0.5000295456206271,0.4483509920471836,0.4603908155394359,0.4527334994403564,0.5048323018010616,0.5081598536609861,0.5375375157181996,0.7227126810852609,0.5792836583864965,0.5807814680707969,0.7049685544923937,0.9404162577459215,1.3058770544552485,1.3075558624999466,0.9930216604007395,1.8203927156760105,1.998625394771133,1.0844447412488514,1.651616212764642,0.7999512755633632,0.8167396151421578,0.9962012696727479,0.6510311875974425,0.657025636576894,0.6328308582286184,0.6255207877402372,1.0923782487707892,0.674460494527655,0.6625244566106059,0.7108051487617886,0.7607425577581143,0.62247972567293,0.6245861676885011,0.6776734832691781,0.5024750476326442,0.6784198612647733,0.6514145547384901,0.8028197615374486,1.0467158549196969,0.7891414409508909,0.8716761286541269,0.6358220112003256,1.1900809629053442,0.5395164010338299,0.518106560586314,0.4796267414717685,0.49727167661377886,0.5425089068650913,0.5892193424766399,0.7767158561265591,0.6082490791737748,0.6973790261359055,0.4928304730116971,0.5172536716319913,0.5144442792353935,0.4745456416469082,0.548144939283481,0.5143470481255412,0.768021106910055,0.6580427440568067,0.5396703737328806,0.5045013318654411,0.6261232157713528,0.6211455461741865,0.4813687289100464,0.40898543854372027,0.5696225869370425,0.4179327722558174,0.4728232343341009,0.4095672361121905,0.48678767083066476,0.6118799898321506,0.5724440608010204,0.6035826445091176,0.48229695840899556,0.46650698998638257,0.6373222734468924,0.38546576388168985,0.37873763884352474,0.3196298190144679,0.3882343886821782,0.39674175139665496,0.4407187890559852,0.48599519200855823,0.5397313335419651,0.6781422772561876,0.4911713110057722,0.5038820240047934,0.46322130052407234,0.4588534445078853,0.37422251739288614,0.3485581879159292,0.3983314941183443,0.40139513810776317,0.4008618717016908,0.38558790431833495,0.4872494974154084,0.5173244104683885,0.5078837466011835,0.544303758967546,0.5265808975772941,0.5169278357833584,0.5528623840303977,0.7248231373503481,0.6414373672547253,0.6771191366807712,0.5669454637299163,0.7844822007269383,0.8655619342872403,0.65144352203224,0.5592955948488548,0.5317861776195704,0.4814995671048803,0.4493873712927427,0.40256150386713796,0.3794088376631431,0.40719133154007375,0.41945961540943616,0.489296675580295,0.6554815164126664,1.3910704025761464,0.9900025782479609,0.48379959558617486,0.39598212262622534,0.3989373618438476,0.37228393011988076,0.4155492600606704,0.4697806364331658,0.46604009085447745,0.4558316589902435,0.47863518652011333,0.5651571622258711,0.6406345369298605,0.7058565656006611,1.071479715087099,1.3224915808913613,1.2904556714395463,1.1903100556818553,0.694464459265641,0.5701622833615749,0.5657617417632651,0.48477102272343914,0.4992127461246033,0.49722030765228903,0.6143634851777875,0.5160281059259461,0.5430934822353117,0.564728443560365,0.526631973968391,0.6311739287256987,0.6916649348578016,0.7092382610505658,0.6552912310452014,0.5796762290648562,0.8717705161185731,2.4735367657862644,1.1247782359498,2.0363169535918075,2.2673128749834177,1.5893657452700938,1.2578870623759297,0.8527205900574995,0.8600061597737174,0.8967733674342845,0.7008126663524664,0.7559153681602282,0.6205261317376821,0.5224645350400561,0.4503719805485417,0.43258235396530886,0.5748764615423534,0.5077856693265511,0.6127378594516593,0.6792599847817364,0.6225172674118221,0.7777882497382227,0.8377912006938705,0.7719574487554491,0.8711360680033592,1.112192288037841,0.9864135504270612,1.0189382152594406,0.866147725907659,1.0558064800203555,1.0068256678877556,0.8287743416311665,0.7530183221262668,0.790058481856633,1.1894628386144528,0.8726373184060296,1.2379411049165294,0.7362689692642571,0.6934068367363768,0.6744477657010164,0.6886077690634663,0.7213221005908826,0.687708335546987,0.6945478097952459,1.0289999283610252,1.1406981533714309,0.9173965066955817,1.1229456093784949,1.3234035283732009,1.2640754862406212,1.2585781271961016,0.8801006329407463,0.571494356360818,0.5743096411557157,0.588900695820257,0.8943330302194501,0.8842988914889619,1.170998178897928,0.9021771533622005,0.750409410008267,0.9383453442388572,0.8248807460746227,0.7208670237370021,1.0301455209182147,1.2248317096180532,1.0197446327996171,0.979148541711316,1.2530292837155435,1.4269951970757035,1.1046206521374027,1.0541857540543322,0.8275113245356729,0.7188757964942541,0.7011278237559555,0.6270606577645916,0.594230242835235,0.5790090068549602,0.5708209284731274,0.6703772558874376,0.7314988161020234,0.7480998018377778,0.8677550108720752,1.231227304284042,1.0821326013600123,1.1137077002781535,1.2330763987112945,1.396676788089081,1.3649406733087561,1.2139953912313146,1.4454220190623042,1.6461268708634442,1.2925235442998155,1.1482910033031168,0.9490455382905145,0.7267930500451704,1.0638744710288013,1.1154442008752414,1.4151125691202793,1.6085921366844114,1.0245868147090116,0.7487487692152016,0.5978906385851452,0.49526664508231494,0.9133249784782548,0.9723265330724798,0.7926493450282299,1.816378766203479,0.6361658151760572,0.7799868055308855,0.8043983563135882,1.1023493404892544,0.5164430455429139,0.7129016418354982,1.1865617367686179,2.608745202176506,3.539066974354365,3.5355018855822293],[0.41619755730975144,0.47339407389034505,0.6726466463820693,0.6451499758303433,0.5268182695258392,0.4375413157234508,0.4349472017929918,0.4686025844063727,0.5182265657556913,0.5025401670569247,0.5234820628574848,0.5458818297498952,0.5249720662204831,0.5318266244987309,0.5762397857950315,0.5588750865873631,0.562879492407648,0.5518218092108,0.5461323466922915,0.5466623894165284,0.6132008768938716,0.5914441769045542,0.7470043748603162,0.9579609037632338,0.7317906429376217,0.64442844397045,0.6307735846259994,0.5303657429725448,0.5284993700937487,0.5600833368552526,0.5819510570852664,0.5692240578091206,0.6185768822278388,0.6162417205038159,0.5635997418222914,0.5631340124617281,0.5558485151477467,0.5590165554873116,0.5755637859688195,0.5810447900377481,0.764177294006119,0.6045826732449282,0.6088970750788067,0.709192396653354,0.9657863281448404,1.3057421682468606,1.3125510297590866,1.021194889319038,1.8159734139139434,1.847467201205083,1.1261931714026951,1.642688535810749,0.8199342972146043,0.8422536852004577,0.9931854315472243,0.6939953379597331,0.6956930538438403,0.6774767155067261,0.682132646764734,1.1012919066707583,0.7090853483618688,0.7169929055148481,0.7749322873354343,0.8184325425984436,0.6671682173034726,0.7004193295330572,0.7308675700220638,0.5774191210619039,0.7189799097638923,0.7210301275573696,0.8303898038973878,1.058450452888174,0.8275606150793446,0.9077305191659726,0.6830682189204272,1.2539813775016375,0.603512261791816,0.5971233765404966,0.5736767296579052,0.5821329631118415,0.6164524151832158,0.6603811434048952,0.8334177964042818,0.6490771412079235,0.7561700947571509,0.5731758475305289,0.5824507460899311,0.6061106587077891,0.5641636981094795,0.6475248239238114,0.6090220622107191,0.8292528372928697,0.7385771737251008,0.6538977259276038,0.6214091670958188,0.7396319010858629,0.7499365182563197,0.6180629212164755,0.5646280256602753,0.6897749562092096,0.573969307805182,0.6117696465675655,0.557306574685833,0.5699458206489202,0.6598314256026366,0.6121561839958729,0.6463317261104221,0.5432005499393631,0.5116333665921816,0.6886176837625652,0.42850669478809306,0.4592084421084192,0.4512157672003416,0.4447760299351409,0.4907677517995156,0.5095457716668219,0.549920594349016,0.6018575844139723,0.7118205212489435,0.5693507146604825,0.5740966679672106,0.5516662569089141,0.5332081474504298,0.4525232007726397,0.38601604999531064,0.4287436434680859,0.47715597065515414,0.41904244937467394,0.4171761536690235,0.5800407828852592,0.5312008198885595,0.5131411861122278,0.5517996194617913,0.6385391358730726,0.5579590986313782,0.5986264920949864,0.6957762993887572,0.6440776003392127,0.7007188824186921,0.6307240921685242,0.8061520204920631,0.8874123450421035,0.683341079008968,0.5942220929437412,0.5695681285918263,0.5519057896889914,0.5231972359637074,0.5198483242845996,0.49476195092873765,0.5247035834981021,0.5446798308602783,0.6450500796268855,0.7656785372993767,1.4445180224429246,1.1395821297944224,0.6436339802709989,0.5624283461627144,0.5359117074120655,0.5228777996012588,0.5078720295141134,0.5456947530930808,0.559030614108841,0.5134093004524469,0.5435702829972872,0.6660117334295131,0.6570872445587501,0.6370561573935537,0.9408860233987252,1.0995525021906545,1.1651341218053817,1.0599358313492855,0.7006681103955472,0.5825897977807352,0.6135938193286676,0.558100534488977,0.5906146093133805,0.6201375852166902,0.7200544953768556,0.6066110635645897,0.6182848583776761,0.60256925738631,0.5821336813184134,0.6546056472339176,0.6866570389772821,0.6946672412238285,0.6523976840855016,0.6269773267099561,0.8669527342756129,2.5217776851042113,1.155601595426533,2.029976194490829,2.392653027847253,1.5661663527828231,1.1868759771255541,0.8014289369208745,0.7841254159568378,0.835757762242618,0.6531969084037967,0.7054759443038306,0.6221918767472471,0.5372399923893945,0.523815623394639,0.5041305225122893,0.577005125904849,0.5425954781974754,0.6561783369113835,0.6816612349105396,0.6244010668414672,0.7867383385503657,0.812390449148979,0.7577101662352994,0.8355411903555358,1.0346536479685549,0.9586661953878227,0.9810238446271157,0.8396874112079039,1.0239979146495952,0.9460859149310342,0.782558245163888,0.7260270475235722,0.7387841452738346,1.2113903090410836,0.830341600264418,1.246992007077292,0.7464307557773219,0.7178516597147997,0.7238638203653704,0.6990848888783836,0.6469516293088134,0.6470363309590745,0.641246915836936,0.9257270712334282,0.9969502564123873,0.8015510780197501,1.0819151129557505,1.1701843045535716,1.146856062627962,1.1428330509481917,0.7914743543706987,0.5734756223342116,0.6008687557377657,0.662311945647728,0.9800747171697214,1.0223314299368074,1.2950205965352062,0.9589011044597042,0.881951386732632,1.100730070861641,0.9410887513185113,0.792182715935232,1.0736850478835587,1.2475688493821708,1.023547522969371,0.9855999725442588,1.2332974193846482,1.3777691561056922,1.0487608341224444,1.0116843165145326,0.8242792351034359,0.7329940094712957,0.7303090588856019,0.6745779281902937,0.5896528206434856,0.5811293391645066,0.5811675866809894,0.6264686851614159,0.6898193838042136,0.6873399155424841,0.774251384306356,1.1033397970407497,0.9814848900456623,1.0126074097435698,1.105854893748823,1.2645924284566934,1.2325290003388698,1.0949193183287347,1.346350090887247,1.5919287002195346,1.1980472313306694,1.0801057287749352,0.901476946889464,0.7036553822747705,1.0233943104805043,1.0315035292916057,1.292802900395828,1.464033879111407,0.9393406762256832,0.7348995412306235,0.6018476049665359,0.5639771861692239,0.9403972924830142,0.997068552206373,0.9062522825699932,1.821398943841481,0.6197934037037961,0.8699411814249762,0.9063355122240213,1.0710815006675076,0.5803535382989083,0.7399977013477618,1.3809198796582358,2.8761162530010016,3.882120013420883,3.9713886914129315],[0.5866914243055412,0.6350612479268215,0.8401018781125313,0.8097640935786888,0.6674872899359129,0.5097379439411087,0.5266429507517706,0.5277572576397003,0.5448032603829893,0.6153032643605212,0.6508412532011624,0.6597127676029985,0.765962478038895,0.7767261730261266,0.912912198480269,0.9174415430111748,0.9688054746757064,1.0638877810308789,1.1427810632354156,1.1157764632990919,1.2569043746676698,1.2165166792261037,1.318207713017712,1.5605557083935313,1.180906369170347,1.1805434484096828,1.152459104603784,1.021568818092396,0.9968878695724389,0.9447844210801083,1.0371591177558601,0.9250588582040097,0.9862546959236278,1.0467165535160237,1.0118884485716637,1.056663040555259,0.9533162149171442,0.9887672801902286,1.0449682989655005,1.044597916418856,1.2127729881625005,1.1141251096911147,1.1247481326105053,1.1626293889686972,1.392364920476629,1.6600753848431593,1.729659692867051,1.4099300507801373,1.9736045457935154,1.9319464126018966,1.3911231265993422,1.9449539273436294,1.2348308263641927,1.2392491073184075,1.2858803438149258,1.174126832477999,1.1896145115492176,1.1259307862386425,1.1759322295050587,1.429141124344449,1.2198039945404495,1.2056897118308698,1.260588142003453,1.3459936740102305,1.2485288492258615,1.2645046886768678,1.2944296022046318,1.15480910692629,1.2531278975123277,1.1930437871179176,1.2803454805452543,1.4436517579543302,1.2747399635770356,1.3787648198177982,1.1808979592138138,1.722524736494464,1.1604994875169656,1.1337402707608613,1.1228041103729125,1.1289742491876276,1.0680487243209833,1.0918210469174972,1.0995123618115015,1.0381398369684702,1.130363034835354,0.9856016349456387,1.046789680075828,1.0389328810131022,1.0969383100111776,1.105119927533122,1.1093683581338105,1.295771950305594,1.1801213464344424,1.0614226495087653,0.9780589520034596,1.0696479011346895,1.010803826164841,0.8836815593941841,0.7835039901645543,0.8245271674494847,0.820317073438704,0.7654549239539626,0.8221634500281824,0.7602162714306637,0.8918612334275644,0.8135776531836564,0.8290001459088713,0.7295550031348207,0.6632791976282537,0.789177461829574,0.5418302557657633,0.6395068816979188,0.5989262352495143,0.6580145541272644,0.756370642750141,0.8178481533291075,0.9701463386832162,1.040818510348114,1.2821982245636572,1.1005655583250311,1.113732051501753,0.9217350348504183,0.8511271810784262,0.6875492505785527,0.5462413308365164,0.6199509503314857,0.602131254613698,0.59205471601764,0.5989536626321608,0.7801252028040693,0.7304881879810741,0.723071286427191,0.8083672733546668,0.8721755385997577,0.8113598311532958,0.8506867403734918,0.8398242424407824,0.8838421894213644,0.9183324236564562,0.9827295505628088,1.1156860537067035,1.2811424341298276,1.0746676292542006,0.9946246467818762,0.9991547529604122,0.9601090101678007,0.8999642876874892,0.8406649162287502,0.7449952980923432,0.6841436006577897,0.6523320573567568,0.7030911047714088,0.8150138348201247,1.4984042797499415,1.1958754609734914,0.7554230109659086,0.7296189473443521,0.6896381985424862,0.7638579461621374,0.7353981312060973,0.8401942414331147,0.9268601228888375,0.9144229194342431,0.955518866782811,1.0501081509596846,1.003444898514782,0.9655203772105815,1.1828348657911079,1.2627506124409278,1.298632712808609,1.2057486120957956,0.9682683640493893,0.9088553914323115,0.9356522278126315,0.9055523537370015,0.8829477714168729,0.9278097175690132,0.9914349393738194,0.9736694478293136,0.9172003349917817,0.9402390131245699,0.8490527965282332,0.9193093797723952,0.9667323975103236,0.979697640225186,1.0102189903801442,1.064315822895775,1.2428752595189911,2.8784216781348393,1.5016307277833167,2.3875923314648824,2.741887470585022,1.8351225663965938,1.425133039150311,1.064274160918751,1.033770127639692,1.0069112479950457,0.8477009583202318,0.8765615659563164,0.7673426522053617,0.6993402373981893,0.6468697702893667,0.6409437754507227,0.744995584183268,0.685075765554279,0.7595128724237111,0.8343715388807545,0.7921295329030117,0.8826043223818595,0.9440080351834712,0.9265398693187985,0.9877610757105826,1.1519396999732892,1.1184251733954191,1.1768498955816025,1.0567101732148787,1.1837622876163514,1.160131679804518,0.9912143832667881,0.9474349973170008,0.9602601069490709,1.3241464477032683,1.0241204335539922,1.2840175525616524,0.864233097237756,0.8092035166494987,0.7930392563734429,0.8427679660603782,0.8368978660955702,0.822326932964855,0.8105593174108886,1.1170329727855515,1.1780401914991545,0.9860616479508797,1.1994220807726927,1.3843978827351238,1.3523425244192242,1.3088201308511835,0.9711186284810566,0.7622313204388694,0.7680573555514032,0.7703643847572554,1.0247461743305737,1.0221471166896658,1.2875129739055542,0.9931149249567424,0.9127389803322337,1.096707425797197,0.9513810182042152,0.8172606281117666,1.0752486278278026,1.2408566433463848,1.051726941065981,1.015046460007838,1.2491279989295496,1.4052842389310767,1.1309885489970453,1.0843905916414815,0.9131781327750762,0.799042887036676,0.7798885576833233,0.7415691901546025,0.727702283441607,0.7316451194262606,0.7383013241265537,0.8233269768100641,0.8828744297681161,0.8791907827212321,0.996426657686574,1.3155013105190998,1.1685838215967566,1.2090454690565269,1.312715112412489,1.438348062450719,1.3986403442902007,1.240975259814451,1.480645397487818,1.686869216154407,1.403421985827503,1.2563409260388043,1.069418053424712,0.9129236941859367,1.1853058920108386,1.1292880510785634,1.3802782353156435,1.5287279048371272,1.0578592623652157,0.8520474747415014,0.7540074920829221,0.7077686459756791,1.0578373490287016,1.0228642394829215,0.9175885502396617,1.7986528891557754,0.6765583963824132,0.8923584784589705,0.9477753626492545,1.1245869831428896,0.6527237474434933,0.8299273465587023,1.4421062535004008,2.943341417323996,3.961094282796169,4.043518727322589],[0.7190769239465631,0.8036150732482021,1.0579399850568187,0.9135385011720328,1.1061155023560778,0.9646921509818971,1.0417161324814412,1.1623396847410763,1.1727908027235083,1.3257023555828782,1.4613751868607905,1.500737504016574,1.5989710242434034,1.5812203477103461,1.8359886544731954,1.8263352414378762,1.765233281141133,1.8643065241134924,1.713427328231371,1.720246691369013,1.7237298808142636,1.6775118262567612,1.6108909443595298,1.73109022658118,1.4174329288483591,1.5082209502002588,1.624804685684419,1.6447188108407076,1.7586871748847046,1.7788212568052342,1.9477933102817753,1.8465847351013829,1.9093238505556773,1.9490589108385419,1.8924976560522642,1.8728143651073283,1.7903347417169042,1.6840687314973055,1.6456994582712496,1.5969595234964762,1.5715069835351014,1.5901959827348098,1.5773781668000761,1.5205717554268008,1.6101381733402862,1.671086384979019,1.783274964398965,1.6107332556670506,2.016122632725547,1.8905663776720498,1.771780938477963,1.9349841221681339,1.5883815892872488,1.6581196528842426,1.8372987494579431,1.6228416305206694,1.5927157917829315,1.7265331880524148,1.7510402860274819,1.6613519088255797,1.6410711998429595,1.706446428249135,1.8300548576207787,1.8548693686718187,1.7003815753235665,1.7979721619758129,1.8106031790199126,1.848296134816376,1.8494922660463031,1.9850830949713887,1.968180977943222,1.992752948804331,1.9802639640065571,1.9571272820988594,1.9215416827113379,2.3579743731867255,1.8755997301601797,1.9350777160603772,1.897565602161083,1.822122810537616,1.8222303546246363,1.80108815542648,1.743898491545195,1.6632592431583142,1.6990883752217267,1.69292091813072,1.7398257175158627,1.8620052821459454,1.861900748738245,1.9346124196985883,1.973577795550062,2.0993098575074045,2.078621980380369,1.9946592530943166,1.9152252924157025,1.9833106350358911,1.9075774668437184,1.828069947642679,1.716921156079354,1.6752990017438618,1.7404004863887188,1.6034320057184428,1.6648621711200233,1.5456392777596377,1.5539972204287211,1.4567019444322045,1.4394189990350712,1.2990726520153055,1.1752552550475543,1.3001175539554883,1.1584753943337323,1.2783731008210746,1.2262454050904332,1.2668552646408977,1.3963100527280714,1.3441459729011147,1.5422213636532462,1.4171478489177711,1.6799715825615364,1.7743009874616917,1.7494291313635209,1.5519048642152005,1.2807097499701134,1.1918332885899838,1.110344527102117,1.1590351713259972,1.1490151402899316,1.150048028408412,1.1372395676465346,1.3129330567573196,1.212175370100413,1.2205456865944748,1.2506351346252642,1.3522215848471755,1.2556772394301245,1.2882106828203668,1.2939325007121025,1.31964376586249,1.307432229446526,1.2849566514790345,1.293690419512053,1.4790517674710324,1.4105133325708328,1.4192284206840646,1.474720121784904,1.5870810795068266,1.5086267452976958,1.5375775187159952,1.4546937464408607,1.369486739898305,1.3253556596291705,1.3989651921605242,1.5291666672270166,1.8034650913528671,1.7764112926776536,1.5778275804917667,1.5889983592045585,1.4706772709683638,1.5980976065809231,1.4815506792707944,1.4655390573832385,1.5927040701952404,1.40649961169359,1.493204078642426,1.5794780728931104,1.3347742586431854,1.2995852624693627,1.359714373392003,1.2521817171063456,1.290222897767867,1.264088962107784,1.2753866640686593,1.3525361416153778,1.491223981356566,1.5480420623071518,1.617571108556486,1.704297132956117,1.766914504862322,1.660685700607377,1.6166446701594241,1.4911065126146845,1.4501995264345386,1.4331645411424914,1.4315037892749813,1.4082945612581148,1.4498093229748448,1.48894329478828,1.660231158408237,2.875907882602759,1.7132335371745009,2.3487516365387737,2.7642068172551713,1.8411349539171096,1.5406774238479168,1.3580352095830948,1.3655941758111318,1.4072120811754447,1.2521479201565537,1.2577122187212781,1.2430050338953096,1.1576800271368266,1.1156387746710104,1.1150789381288406,1.1143637682382677,1.0546764020592185,1.0689163433247557,1.1540246307177533,1.0640063966852533,1.0842295278194327,1.0950673759929226,1.085057983712407,1.0958535946661114,1.182991158490684,1.1819829073267107,1.2381656445260736,1.2063816367912494,1.3574127423251914,1.3505716269006698,1.1985546510079013,1.1389002557374426,1.163040667602898,1.547293571858893,1.1908504380084313,1.4388070566699398,1.1116799150176362,1.1290520182085209,1.1492309476868139,1.1517071190273698,1.1879422854781148,1.1955937061886663,1.1738187119798325,1.3949468263681708,1.4044994893477258,1.3134032495952088,1.5786115417765414,1.6365886570196988,1.5921195186983335,1.642212364145302,1.3050614470275281,1.2092395187370222,1.1669924922871076,1.154210286640931,1.3559316877884946,1.3973130639511429,1.6297447576654494,1.3391235701814597,1.3289415867597985,1.4922422091254801,1.3145893348695346,1.1361549603559389,1.2733929182120134,1.3765911366742791,1.2122373116527567,1.184686398828802,1.3242879232834803,1.4361900338081344,1.1882333817961361,1.157043133490918,1.0757453166223796,1.0431478643354213,1.0839985947242559,1.0825047373314434,1.019817651765691,1.0344616694401232,1.0834260210224445,1.1077364816918804,1.13062428227009,1.1756259584829127,1.286973281855723,1.4664401561188425,1.3718495414086576,1.4593627871049621,1.5219319771266013,1.642505865120779,1.6063237494648575,1.4865916814786766,1.7519049164868874,1.9625211505471933,1.5777169420809456,1.4580587993683989,1.2893050401673245,1.1092503148299193,1.3841943682255868,1.3778724344441344,1.6194848189002173,1.6488588286527373,1.334399147520066,1.191294338577223,1.1818558840503983,1.1648067986688253,1.2989437356989604,1.3901640464227627,1.3042318437797975,2.002230061634733,1.057442573411524,1.1738621690547921,1.2184374373445932,1.3257485311389894,0.9167823206345831,0.9935863791177618,1.6421647172903726,3.0403994048390763,4.180438592353641,4.265215193907545],[0.6705841280473844,0.7194532570147638,0.8964109372124435,0.8086229708344137,0.9039864142509844,0.9186008373334417,0.9836085881427205,1.0933678887426508,1.1363186770589102,1.1880939496482734,1.3087089242313157,1.3459012303355342,1.3007050218547072,1.3072700092746499,1.4097747537634657,1.3715375581388347,1.27112510901918,1.232775702720519,1.0517459746804991,1.102647503710868,1.0955462650940098,1.053201250958429,1.1070016690372175,1.2729899229051826,1.0270148405746329,1.042207721025476,1.1039314998869392,1.0951543459066146,1.1924015978911529,1.2919771965950744,1.3563139704665914,1.3758258374852605,1.4341723282403378,1.3795681517598932,1.3262539156319122,1.2754907107224676,1.27951237740901,1.1429301429722862,1.1514529175353632,1.1202415848096898,1.1360792313283068,1.115877939278044,1.1284572771437165,1.1459980815178146,1.3143146779819754,1.4528065821110463,1.5641195393524967,1.3901295523047499,1.8611309607801414,1.736433918433044,1.5975367383868928,1.6529376190878076,1.2049109178054096,1.2516720727869397,1.3773887482263865,1.155170947766741,1.1781830101326976,1.2098209732056753,1.179197361765054,1.3721112189401872,1.0891465501195117,1.1153071141690776,1.2265375793580937,1.2358063486319775,1.0971350552558716,1.171331943377839,1.1617163219455742,1.1805634527920053,1.19333853824233,1.3077353540231698,1.2607947490212317,1.295483161723013,1.3063791225560977,1.3232326369245382,1.2673774034980667,1.7354482406033966,1.217914802520958,1.2539114935638251,1.2313198078467367,1.1734283747352814,1.2413665368955162,1.2266175214773254,1.3196272268135683,1.225338306188154,1.308414190273755,1.1863585529213363,1.1638286580988302,1.2833828702241157,1.225942351536248,1.3407194414348902,1.3137064897185975,1.3964893007759591,1.3723989978969116,1.393735002149767,1.408961997185457,1.4937141514674042,1.4875253604679752,1.4420356734336377,1.4081145788820923,1.450862461594533,1.393757609343195,1.3358170192009244,1.300341341287498,1.2939604867266126,1.273792015143338,1.2491792935914496,1.2515988731500696,1.0726900503205115,0.9817367038798552,1.1597361342958932,1.0076967055323638,1.054090647607078,1.0436964376051323,1.028245331968114,1.1063973732808532,1.001579775412247,1.0703491543191528,0.9904738288493621,1.090587397489275,1.1570870893518714,1.111084656383148,1.1148661159532491,0.9536137194066137,0.940153379493383,0.9452862857699486,0.9235926122780908,0.963300043414049,0.9303555079464211,0.9142684582359751,1.1062386590339137,0.9700301156223916,0.9898144590351735,0.9848799273562105,1.131184974007767,1.004425154478166,1.0403104333005353,1.0008451905022049,1.0215075986636901,1.0257290158254513,0.9872559917869291,0.9915888923473098,1.1796869034028608,1.0265569929375296,1.004327176822487,1.0253688058027985,1.124976343457413,1.1001081915719702,1.1913093264234733,1.1827715055297183,1.1800804562977711,1.1773378626274948,1.281357999702335,1.3919265402868994,1.8469512176618335,1.6466498526735571,1.3863373762918325,1.3370281137263824,1.2572542133266744,1.3034615845123854,1.2215391059497123,1.150609362601398,1.189922925850908,1.024247598787316,1.0741804146321638,1.1902371631151927,1.025624689904108,0.9913334771147534,1.1222708528295673,1.0501186211849776,1.117847132188413,1.0914438594576161,1.0247863624339604,1.031369733382822,1.1346751885563526,1.1640892954919968,1.2483531694707848,1.3127795119453176,1.4083559122472902,1.2250721794029338,1.2516895177984118,1.1458630927391127,1.1603672070235802,1.1406159007488994,1.1118578043462561,1.0789987495041262,1.074331404307783,1.0562915436453573,1.2627937785714494,2.651202649671983,1.4407310678536507,2.1647951407751655,2.5554178426441077,1.6901852528772865,1.3290776878093291,1.0826386345614467,1.0598034945251062,1.103244242694223,1.0111181377667156,1.0176895696047306,1.0388324337417758,0.9597221320555761,0.9655859987148951,0.9462641704040875,0.9234436492912037,0.9124951123140567,0.9653987698325163,0.9488167624049189,0.8741192883076381,1.0056583778193864,0.959852621567339,0.8935741870786978,0.9414816195609762,1.0869467587672437,1.023244397670666,1.0410720996369598,0.9589367659126955,1.1166801517437057,1.0870406939167843,0.9572687761377553,0.895103895790994,0.9381125532267877,1.3921820476539208,0.9785380299061691,1.428911550228799,1.019503960597187,1.0040385083561316,1.0262578503007964,0.9429935732224353,0.9597726553059461,0.9623094510965267,0.9702231750473619,1.176103156559531,1.2196597928132964,1.0853209362267813,1.3560184476170274,1.3855313575373494,1.3620636639270345,1.3823560788477183,1.0638418492041015,0.9984292846101419,0.9921197892387592,1.0144666473075648,1.2806252688783364,1.3590752649901308,1.6008193501084498,1.263665616995835,1.2529163492198294,1.5044445816161862,1.3057549666500843,1.1378238794600835,1.3619153942179683,1.492406923791062,1.2345751836505185,1.2151819624677114,1.4050509626155745,1.4496970264392033,1.1564188227968575,1.157684702825978,1.0085794536414185,1.010397230891625,1.0412142703755565,1.0202104949799646,0.8903799002571274,0.884050863701544,0.9288677236751596,0.915271341598813,0.9371715145158461,0.9607202695428363,1.025882383843898,1.2414210350690718,1.1425850200336218,1.2080708774845539,1.2814489002444904,1.3709224352040121,1.344613140946352,1.2297255765782378,1.4487946301301666,1.6688066231209702,1.3171573130645076,1.2124415435375746,1.061433979628425,0.8703320102165764,1.1708361551654312,1.1878281227109393,1.434287208607912,1.5610958179281864,1.120621266961277,0.9718489887436411,0.956390219609638,0.950041455080463,1.1558918834102003,1.3136940244422475,1.273292225910746,2.1442537303205116,1.0278546465047416,1.1122336461278093,1.2903499684326964,1.3221422028002878,0.9080064840375573,0.9811400899093231,1.5538468383398372,3.0765828589747803,4.2585186273633315,4.5177139284874865],[0.4237250248079195,0.5006289586048802,0.7336406529278954,0.7060857429250532,0.5594851517255998,0.4715895786394307,0.4243552625417663,0.433531489009399,0.4578385850081731,0.4797490232365999,0.5128102868049864,0.552887008817254,0.5559113757798516,0.5656816687280367,0.674310710644151,0.663049581204214,0.6665139715290851,0.7255267269823629,0.749503460822301,0.7319862838385682,0.8480616140616246,0.8101291079606242,0.9615861394305117,1.2075147846182537,0.8466469384811903,0.8336737569305398,0.8043721948403031,0.6962381053932891,0.6774913779618139,0.66503405803956,0.7440906816240903,0.6681023556182666,0.7774260730518959,0.7734496804118989,0.7115377790716654,0.7208958383250132,0.6519704280046488,0.6855082342429146,0.7301934867250596,0.7273590397810951,0.9066323088933623,0.7862412189379755,0.8011806426990247,0.8936037484558821,1.149259887700141,1.419710042473808,1.4869975391527048,1.170672878040198,1.8205017372111203,1.722787197661939,1.2939750175224203,1.6656721215970598,0.9522427024642878,0.981657174800852,1.0770642494112637,0.8596343869806444,0.8726463481313917,0.847294600421904,0.8689987135129816,1.2028709610021162,0.8704476337270863,0.8835994216720138,0.9253115518374755,1.029679151431994,0.8672989782866152,0.8662931068081496,0.8972846463499231,0.7798416947464119,0.9182801796805581,0.8685462463640882,0.9452943378139578,1.1526395140050214,0.9898004762204574,1.099262757969514,0.8665844581332545,1.4765977026898978,0.8208550971890356,0.8109751141825814,0.7674006556453926,0.7668057818351127,0.7633081091366785,0.7748832384282879,0.89751545489323,0.7096047831009497,0.8419924077311947,0.6682677632686463,0.711561890887179,0.7302239359191669,0.7425191098918803,0.8177866043125788,0.7906625792083304,1.0191887983747947,0.9044282381847368,0.8090367089214208,0.7449534390356648,0.8905366704504633,0.8292498050615299,0.7080486293138476,0.6336052440508497,0.7819531674316303,0.6360234422735654,0.6115618582768767,0.593327371436399,0.6053158518451695,0.6838985597172332,0.6739910377590403,0.6921781053922282,0.5856084353488473,0.5206301483281331,0.7143196506814622,0.45157405437044795,0.4898416136157205,0.4486731502823048,0.5115747299822223,0.5535968226796639,0.5875333314565133,0.6643461170828953,0.7612936756720631,0.9108011490610944,0.7545618113919768,0.7381492461072884,0.6678492731714375,0.6584720697792715,0.5273559630439216,0.43514512812985345,0.4944085210956137,0.5747576726619585,0.462924648384257,0.4741881326670449,0.6056477633622613,0.593671460970842,0.563231927642001,0.5997824325048242,0.6796398829458317,0.6077189349643396,0.6237336118960318,0.7326194208364193,0.7265633510514488,0.7925442621912439,0.6983250822695011,0.8829390601360124,1.0289590971597646,0.8143673683222921,0.7233431722146442,0.6946330168962047,0.6716984657605646,0.6150194182256646,0.5946004798087153,0.5386018432594459,0.49923531953935213,0.4848493772488028,0.6241449450494436,0.7851200431701711,1.5488888590099017,1.1975710829722617,0.6776089641040758,0.5803298750474774,0.5268899508233704,0.5684920355824967,0.5417519342750672,0.6148716950713036,0.6465845708783001,0.6158335288684699,0.6410104639668139,0.8390819727925699,0.781695356047888,0.7173146946371985,0.9797022181802315,1.0403628005812333,1.1094913953123975,1.0009556136687132,0.7380843348347015,0.6358543537636078,0.695669140512121,0.6227404593513151,0.6499454102397222,0.6647342590870426,0.8001465703718204,0.663948197228913,0.6920629641369674,0.6612023505807495,0.6455837193443459,0.7138915778292384,0.754300753562394,0.7630159839317195,0.7323560321435609,0.7510030681399313,0.9749011544029985,2.5876702168693604,1.246463762748269,2.115600016264092,2.4823803400784827,1.6158770539966893,1.2173474910498971,0.8461689785974321,0.8526017572334564,0.9137505866557669,0.7297425436235183,0.7845858264553551,0.6763897926353195,0.5901237366058045,0.5180368370458696,0.5244542416085559,0.6415723859621456,0.5535209311210353,0.6091117625619015,0.7335272505126423,0.6511992866897224,0.7441189014957885,0.7514811242467205,0.7441360615139031,0.7944186750367009,0.9574484082109749,0.8960465058053408,0.9654893742898705,0.9015218628765079,1.041684897332378,1.075147393540047,0.8790246412695332,0.7815597961006594,0.8175229125329784,1.3048202373256264,0.8936267965043367,1.2327955830566675,0.7641478333778735,0.7298083565889198,0.7208188103223334,0.6948535842372866,0.6830065800443613,0.6926033745718224,0.6716835381861591,0.9834677685935015,1.096418887376151,0.8819543681733178,1.138904794731727,1.2740832673680982,1.2584019651995313,1.226811454020662,0.8821045594731131,0.6202176137212314,0.6355242166710077,0.6502697367461591,0.9426337383806439,0.9869234092922106,1.2604518965725493,0.9126200908405304,0.8726066036933846,1.1258309147474828,0.930083387067654,0.7542946264367832,1.0573201509348538,1.2269621215187005,0.97258189358969,0.9476277721457553,1.2134006590970625,1.313145831156474,1.0059584165710185,0.9921715142448921,0.80001973794525,0.7135049247632563,0.7039647610942577,0.6586852349996842,0.6153438478084612,0.6053753619758461,0.6095494139316376,0.6999842760822417,0.7778146517945708,0.7769572068661685,0.8702039759626721,1.2247914944273128,1.1062013635999788,1.1229491255552932,1.2289360713614663,1.376850622719592,1.3596608266361687,1.233095398548762,1.447363740185899,1.6861475029429007,1.3525463174724925,1.2247954299904427,1.021093452665129,0.7861792965795533,1.1564773812441242,1.178593967287508,1.438417334781326,1.614295833585956,1.0528304790743583,0.8420004214202816,0.671339192512035,0.582657768768913,0.8007727478108421,1.1134897461688922,1.0140454909925112,1.962622167593402,0.7168932622765555,0.7447317887831008,1.1000674179115204,1.1324241040016432,0.655104316820803,0.7801809827282923,1.4464919751027805,3.1166467474836748,4.263302137419249,4.4112199515406525],[0.4143558640248054,0.47547185763352867,0.6374365678748576,0.6406567756885079,0.45234145562151085,0.40490150558846516,0.3276220863260656,0.3239768071566396,0.35168429998477874,0.32571518388402393,0.35390238291445963,0.4136352186416531,0.36986467884172464,0.37822628887348525,0.46564029071522406,0.44782937582179533,0.4807706375521231,0.5162886336416287,0.5679795244814871,0.5367921172995944,0.6147245832800812,0.583514737157092,0.7655909451592697,1.0131738036453783,0.7218570171569242,0.6762068979762845,0.6096163310589499,0.508757532645955,0.47124388371846676,0.4677667017887833,0.5251555745911592,0.46042484975663295,0.574028889949886,0.5626809465907205,0.4993805097084828,0.5089296115027333,0.4440562178505447,0.5088435523499938,0.5246730059101856,0.5253444830344287,0.768148296157127,0.6116013409454769,0.622694528487889,0.7219250922473597,0.9966343487967365,1.290382274162734,1.3035476000936606,1.0381601618366285,1.8001060241392495,1.7502388140161254,1.1339376658385725,1.580397095010419,0.8149633376797697,0.8220208994898022,0.9775706134545336,0.6690422601086748,0.6896685368336082,0.6715131048533648,0.6812846636107251,1.0787586753450857,0.6948249933594026,0.7431800999502537,0.7794046994660238,0.847599869727487,0.6922149692612402,0.6589932104457377,0.7214407681675916,0.5742035162989064,0.7672343684107025,0.6866688665729612,0.8208458341401299,1.0512464527702239,0.8371746258122101,0.9319744769299296,0.6975284774573127,1.3079340850933843,0.6240996186892762,0.6003945729936307,0.5468006853899614,0.5607497539819764,0.5839916555138636,0.5959690767639894,0.8196391569967041,0.5394001970795291,0.6604586989261017,0.48744314523181165,0.5206050391185066,0.5397224064375589,0.5251449543546863,0.6283552024898572,0.5777410237325855,0.811957212105474,0.697019584704538,0.5938311785636747,0.5439397194657744,0.6833028566904366,0.6324661097134249,0.5163200572506117,0.44935071303896257,0.65156682339254,0.45361048580487295,0.4850161930640059,0.41528233471106774,0.4651746850945576,0.5703059140111436,0.5322477361847431,0.5811072983973209,0.4374041859057212,0.4199388655639865,0.6780852269408912,0.3592867809014084,0.3630353732032213,0.31056295327005906,0.37586785578398907,0.40144052162518806,0.4676388348325175,0.5167251879234418,0.6019787417501206,0.7389250643150032,0.6021453157828688,0.5806510102863062,0.5468739798038668,0.5254955709004031,0.4131576169468644,0.3370363539561138,0.387554756074405,0.4909780644037446,0.3768032036058288,0.37401723406703713,0.5049938040192891,0.4823705347158095,0.4602546405753838,0.4781240009562628,0.5828146118961627,0.48975177817931637,0.5085485918931743,0.6983497895543387,0.5913675290700634,0.6808952156306058,0.5673681279734663,0.7959326505844064,0.8609090941614325,0.6668748097883037,0.5723923302788201,0.5288136614194553,0.4951416047290966,0.4420068902061995,0.40352831570762604,0.37214926403034504,0.371025252276606,0.38930717071399495,0.5204919445606269,0.7068228073568289,1.5455774548038403,1.102691735464421,0.5451852631690203,0.42230482393918667,0.39401285781782813,0.4008372970946404,0.39596540079702686,0.4507744818123853,0.4689488950743652,0.43944874333683626,0.45856478278680335,0.6134369495347466,0.6379992836643286,0.5943116580281351,0.9150245446251152,1.0990087909136708,1.1619215548276323,1.0449909901782735,0.6569685427574661,0.5121997575388578,0.5255274419243635,0.44696384987934984,0.49636005101126873,0.4954284819294767,0.6671363365311388,0.49650623675233563,0.5364526552714615,0.49844243036566005,0.5011052789247736,0.580301691201941,0.6215955756523964,0.6415501113250751,0.5979169178662064,0.5518144918505345,0.8184881783407253,2.425577030109052,1.094443414283329,1.9487540813420505,2.2840461030988437,1.4878118516944447,1.1291645482642356,0.7272911769144211,0.7325440893737019,0.8427362491125582,0.6029968315564537,0.6663568861016336,0.5702402605595206,0.4738845140294025,0.4460812365749149,0.4233826832373675,0.5448975619724633,0.47951148975955254,0.5559850911177916,0.66479475004601,0.5691799842624167,0.7182945933541346,0.6882239576851948,0.6705949847431647,0.736656580403117,0.9153049156598602,0.8318423408975685,0.9076294273774518,0.8471773833888441,0.9778119514512621,1.0233474147923098,0.8137310276485057,0.7082063900968051,0.7345608785327739,1.284701545678174,0.8251112544241965,1.272122220313854,0.7171093875830346,0.7019741622915767,0.6992428774391719,0.6331354363330309,0.5873427069603563,0.5796162998102273,0.5808606675382975,0.8724992090608614,1.0043075353434385,0.7811916011970316,1.0516199269293385,1.1517602680223449,1.128305454792165,1.120348399691523,0.7777590245129112,0.5061420806309345,0.5543598903079896,0.6070547165691331,0.981233413891064,1.029031483334996,1.3066212176414047,0.9532752371678964,0.8267338150922836,1.1176925176633583,0.9283404444189928,0.762919867180605,1.0909509184233548,1.2585483913603743,0.98281417405389,0.9667017565495467,1.2423454117062322,1.3242563522296138,1.0038625823124536,1.0044321561941763,0.7824891396805592,0.7182048302569536,0.7100601286425863,0.6403527402167606,0.5657098423812554,0.5366581252492938,0.5386984170155343,0.6058529591138724,0.6925531360138445,0.6799447376027695,0.7598943656764048,1.145378538902195,1.0331881567504095,1.0130635743759357,1.1287816314220156,1.3147295188087456,1.3086675041219076,1.1996651748011438,1.3946777116795621,1.6291170635890633,1.3054705569842409,1.1926743622190392,0.9831049937217031,0.7389544914089663,1.1498695545370827,1.19145913570755,1.4339889384169136,1.6230475642353603,1.0116428884041606,0.8000325447667238,0.559639968317371,0.4668266249429298,0.7078256224310011,1.1193859628483986,1.010993013536,2.033994009310878,0.7437007777862237,0.6924526971811255,1.1216812559148257,1.1426298290491612,0.6186602547589534,0.7433093178798191,1.417861841973279,3.101669631396652,4.255444925293081,4.404658717505491],[0.3674932289077832,0.43283847484378096,0.6272300232848327,0.5904343178176985,0.49578034256236764,0.34604019601107433,0.2804093009157079,0.2904159610431347,0.3237412146662265,0.310178299464915,0.34549199166873484,0.3862162182553482,0.3722339703367836,0.3783102653764208,0.45808523081322416,0.44029990373032274,0.47226771127431927,0.501340506410448,0.5562844584553035,0.523429207790427,0.6217496367477058,0.5948382795190233,0.7861450371919694,1.0159938278709193,0.7503850881509976,0.6787810977977011,0.6245789248945802,0.5133263639439499,0.4680060237006816,0.4672294993192324,0.5066416385561033,0.4580565161935291,0.5386429754414569,0.5511427663924916,0.47747659738190434,0.49098383556621783,0.45435744749789236,0.5189350038446403,0.5469206177650027,0.5623445884459705,0.7622995600608312,0.636033915224021,0.6459223089928887,0.7617076112101272,1.0279173861601838,1.3287236148239965,1.3568759596184,1.0463119640135121,1.7895685858964194,1.8594365757525542,1.1597072937408508,1.5725820417703014,0.8307991287569818,0.8591968699440676,1.0101228358354026,0.6812787220598433,0.7036537492871011,0.6973055715882661,0.6876448157553122,1.1164036501135592,0.709819759325501,0.7030757017462766,0.7449942733957469,0.8414226719916406,0.6947770830724594,0.6512564910046131,0.7208539057389052,0.5647204126480523,0.7427955450903936,0.6859580379012874,0.8216086717344637,1.051664182569976,0.8337117329853556,0.9257175527750112,0.6880167787369421,1.2747197099697678,0.6089746453919431,0.5860273257676962,0.5284139322689911,0.538258988064257,0.5706198630954317,0.5995063830997542,0.8014551108164841,0.5749748747582591,0.707250133216882,0.5017476099886654,0.5378833676039232,0.5323323994239846,0.5106433373608049,0.6038387394569855,0.5643845471478767,0.8034390374292637,0.6915654813089734,0.5878401209904837,0.5375218720339345,0.679184019331221,0.6308728294216355,0.49788585919078154,0.42702477020807816,0.6284546744845935,0.42826005985779625,0.47494646884314873,0.39600104116441515,0.46652086234246354,0.5766306690328067,0.5598265686344842,0.5995234437199349,0.4551578730783198,0.44086388232149276,0.6323574263694921,0.35735417926769153,0.3523425587312975,0.2792090470043381,0.3789221330727495,0.40069482174087817,0.4781695078409098,0.5297635672767729,0.6256696675566058,0.7867523446819568,0.5690767970890354,0.5748634882318664,0.5302688203564351,0.5279472738031147,0.406905419141381,0.3486321018853132,0.40036129383849195,0.41909247342604444,0.3905869854575082,0.3655096848459153,0.49304418559960256,0.5201506303800334,0.49990865641512594,0.5274308525644593,0.5383583188184413,0.5083969980366702,0.5351871465122138,0.7069110597480242,0.6618605202334252,0.7223477367114336,0.5754164816319887,0.8359381576438722,0.9306538732980194,0.7160697267875372,0.6085351890297781,0.567293460258652,0.5103358217858707,0.4675836522926748,0.4118151131491014,0.37445263631873477,0.376627490666296,0.3946912298332577,0.5057451356228329,0.6995998003435709,1.529435345542924,1.0611595828212523,0.5250596876929655,0.4047154468703907,0.3789445027739744,0.3825647830284017,0.40326848517232433,0.4734197165197884,0.4771794656497862,0.4639332881918924,0.483996693942596,0.6376654477464068,0.6807125289901711,0.659428868668195,1.0115739788432458,1.2233428025139175,1.2160078122763458,1.1127171156065578,0.6759964468645077,0.5458609622223037,0.556732967893259,0.4647940581806681,0.4988029132578362,0.4933290512215791,0.6430426856076233,0.49445564273237647,0.5465025498641266,0.5330154808070073,0.5188101110931086,0.6282483431042812,0.6879661741247189,0.6993879157728088,0.651942248084674,0.593126382224861,0.8819336852651819,2.478233352363886,1.1423805287378512,2.04874959400303,2.280238316524241,1.5541057093123216,1.2130776232577563,0.8267340832624467,0.8505683808184538,0.899366781998215,0.6930976833031386,0.7492642182659531,0.6068282422994157,0.5041988037187445,0.4215274152987975,0.4123420046622161,0.5596227495751874,0.48311872602616024,0.5800706628485705,0.6771667762577851,0.6113659204553512,0.7688234627844232,0.7886211220952437,0.7391676486727592,0.8506719913256159,1.083286540036065,0.9368512498897419,1.0067625275792615,0.8790104711636145,1.0580662470164413,1.0511223044203148,0.8510535012026782,0.7633155291637639,0.8036470631780525,1.2353318986735458,0.8731771389276134,1.2674950660973365,0.7171533991918443,0.6816033025239209,0.6780891927595304,0.6621760333909782,0.6950486042952208,0.6573022890544926,0.6664671077976184,1.0008376391582199,1.1427868891781117,0.9071834511924899,1.124102236774905,1.3243727036029183,1.270160336818497,1.2625626671084527,0.8813422671568029,0.5535135356122461,0.552281295137034,0.5776314723599494,0.9058790954527448,0.9218178967191087,1.2127785298008165,0.9204303262782606,0.7699612432356127,1.0105153892774001,0.8653555098919118,0.7456361430721887,1.094311733421795,1.28645231575113,1.0407679373621963,1.0184076075964457,1.3164653203139973,1.44975686329859,1.116530169079442,1.0923742019547862,0.843370706826556,0.7408449473015366,0.7094513079382798,0.6255275953844623,0.6022717787333043,0.5705622305717957,0.5588447862307183,0.6657083185614657,0.7375788781117791,0.7447937947442465,0.8592704171862953,1.2455995128234896,1.103144221300238,1.1259280302512364,1.253186390909321,1.431769808371981,1.4093726957441983,1.2715026671727492,1.4923195592787124,1.6878767076370573,1.3722916346316891,1.2115920813760386,0.9903207659680306,0.7443769953281555,1.135031427325144,1.1935419224292876,1.4805217130581172,1.6683623104755225,1.061136707367951,0.791093639332018,0.5986320475223931,0.4893987469431699,0.8246942010704841,1.048019294031532,0.8783672777765995,1.9573711855602383,0.7373851504005359,0.6985384832891686,0.964373167286581,1.1460095062402782,0.5596584130829781,0.726083882750471,1.2341256899930133,2.8066299514737243,3.8548521079467304,3.89680905724237],[0.3896125689710838,0.45326187335115803,0.5812919143865669,0.576339740387126,0.45538581616052687,0.35758336645400784,0.25438308400235254,0.29267374842070343,0.28939546839946517,0.2677563530396164,0.3278871612343328,0.3916632108427276,0.3389864190597557,0.34624436514449053,0.42007192750959127,0.39000297689826235,0.43300482033516746,0.46269574502535044,0.5214081548548815,0.4847494142721584,0.5751642453067893,0.5289757833453973,0.73254604220899,0.9530831251580952,0.6978399380913403,0.6289119358038805,0.5508835843669189,0.4585004051827573,0.4189385744390226,0.4196047066589469,0.47795118798782854,0.42908715928408253,0.5304000563466179,0.5149494157380172,0.4477541007937559,0.4459997540750174,0.4084734299181856,0.43682707863091574,0.4522336841692988,0.4542928632785262,0.6844109445042437,0.567103028500705,0.57527489998961,0.6693465353336355,0.9449873218108517,1.2696891983435916,1.2422808863884367,0.9931659119912565,1.8404132208949238,1.8797905421155616,1.0793929432912737,1.560945071190759,0.7615232408459816,0.750476385994798,0.9587620046108357,0.605541448018768,0.6342213997098513,0.6254996202939994,0.6546210691508206,1.0294875441956328,0.6571489782759129,0.7250581026186435,0.7793544841262683,0.8341913124818012,0.6508245286134947,0.6327502067280314,0.6989951458111601,0.5393428826909986,0.7259984670370826,0.6502333764219917,0.8085673221074136,1.0572235282108864,0.8201188488854325,0.8986502943379259,0.6670473908847848,1.2673053807866657,0.5747074732096111,0.5616515460141062,0.4834322617296491,0.488719404268121,0.5289007091038076,0.5492721891492032,0.8057807060708712,0.506922374808104,0.6029561195245956,0.4417482758192201,0.4679403112914074,0.4950562173046172,0.4551512660462305,0.5975097135230178,0.5383497264579553,0.7684271671118202,0.654927449838638,0.5489656362525487,0.5042765193059048,0.6331471770825106,0.573827652094245,0.4863035686488478,0.4274120829588449,0.6572684804528124,0.4272598360779081,0.49517122246352363,0.37724302065405013,0.4646024810820434,0.5573395945764604,0.5010192174236693,0.5984014288800192,0.39237541774418255,0.4235978633378787,0.6334074102079448,0.34328105620889765,0.3061560859737897,0.2560359224911715,0.32324140097433435,0.36202811573183835,0.4235234533109445,0.47474230934257383,0.5437819426550378,0.6972319043926543,0.5520563065280809,0.5363488523181831,0.4989849190391216,0.4704270267433283,0.366878880292382,0.3080392648772178,0.3366724134998966,0.42732237816929136,0.35672813861870245,0.31929885612562703,0.4246264362376169,0.4376559443423879,0.42069018134491665,0.42749904560731833,0.5136226214294854,0.4176168510627966,0.45903365116258116,0.7537722352099681,0.5381514373832685,0.6321188551170717,0.5138268809436503,0.7682854978359839,0.8044314711223338,0.6262720882159886,0.5229418726171615,0.4694698223931796,0.433439792223302,0.3853528219544182,0.3433142884123961,0.3296715393138098,0.3612120389327734,0.4097079835048383,0.5169822957091046,0.7653001387412546,1.6384326034958872,1.0830613101871558,0.5591965706557963,0.4190464895388472,0.3959817118266471,0.36992865838114464,0.37934249362629713,0.39145683190206265,0.3943136187600571,0.3741802697585241,0.38547895539451105,0.48410006427787095,0.5800111103068669,0.6229294662258632,0.9964323506353848,1.2812163467369702,1.2792630566781664,1.1719740857972023,0.6775319801916446,0.5339483180079045,0.45707544749360624,0.3750971273553552,0.45874587037132414,0.45731040677836876,0.6608137201750525,0.43508557853127855,0.5257135896219678,0.4363566950930445,0.45246136480794524,0.5309439393742631,0.5778938387160834,0.5979887919351985,0.5593042879900546,0.47642528980579885,0.7503538376805966,2.3420930660871058,1.0585554629759228,1.8415949249764028,2.104826180152889,1.4134391705726836,1.1107667748836638,0.7012504850079433,0.7244788097161629,0.8567615638206837,0.5796846969814515,0.654241866649352,0.5326299160240294,0.4496016593402839,0.4215560110750078,0.3896187580727157,0.5393653117090585,0.48608992861445854,0.5719061472239483,0.6998096682234444,0.6046182299505798,0.7760898516192754,0.7204295713940284,0.6939141998150791,0.7938595091003652,0.9967545364309107,0.8497958902613947,0.9483326283427864,0.8992902522226518,1.0300154877118248,1.1135895698223452,0.8717968102576109,0.7604455078167541,0.7902456725910999,1.291313773902793,0.8732285438709153,1.3317670674735418,0.7195390506722855,0.7481268000870747,0.7617541961434554,0.6623820063916571,0.6438219383137938,0.5925460232171404,0.5859697444880134,0.8585832989912219,1.0546681452930575,0.801144625975006,1.0126236590917082,1.1871486432682257,1.1473653153920198,1.1306099039733393,0.7851228145455962,0.47101851138871975,0.5401057106361277,0.6116840205241139,0.9801064268747084,1.0331745387340476,1.312188911834707,1.005398360896213,0.8331867972970454,1.1289507944807624,0.9578974162302442,0.8221150225493988,1.1956756774496222,1.3762823490974352,1.0734787102151426,1.0752563320586979,1.3893100078462521,1.453394479556899,1.1154361878218777,1.134364057679635,0.8707763960587765,0.8133671056027145,0.7815105675693226,0.6865420656691563,0.6378251635974065,0.5786697070278155,0.5474155068682479,0.6319523520410737,0.7201905096180655,0.7009657766078465,0.7777337161169332,1.2035475638601358,1.087591868880143,1.0491523294500757,1.1691174524329475,1.3830624269937521,1.394520986160698,1.3121386197613696,1.4957540456357048,1.7182149228736494,1.4331041522918693,1.304814407260847,1.064442510040839,0.8154845975918461,1.270311389227567,1.3282990450785648,1.5704098019347579,1.753317015700609,1.084239938178581,0.8538109899399421,0.5435612875060263,0.45368694603637605,0.6810305923205494,1.1264885118688002,0.9691517926728621,2.1062680517825423,0.8984212161334095,0.6412871775379916,1.146021367748515,1.2141395732458111,0.6047783296012513,0.7371190913973056,1.2718199182299053,2.944556419735579,4.082408156776931,4.189924899788426],[0.3792635625524224,0.44478881004254034,0.6265489332350781,0.5610675048608746,0.48612584026130296,0.3436901380169744,0.276475888278632,0.310128453829736,0.3352476989399007,0.32733370198837564,0.3742572794347695,0.4160810783937421,0.3819668907388036,0.37883016954506415,0.4253246867286312,0.4059076874304011,0.4460225966804752,0.4795930889796893,0.5228144577777527,0.4964864563824161,0.5965506531465326,0.5717599919595115,0.777011213604933,0.9545083846444025,0.7731714629494472,0.6570311854833326,0.5960359972340238,0.4909115440166417,0.4440372648713621,0.43414241627982775,0.4722442978164407,0.4387574740334919,0.4823226369187573,0.4892510177626775,0.4514360637730704,0.4710309083821994,0.43086396456642506,0.4880778730120599,0.4969931581897283,0.5158123164681921,0.713890567817766,0.5960275995488418,0.5997920921434251,0.7069797641851244,0.9677506543025088,1.3178790320931095,1.30788077196854,0.9842892876906586,1.8292815577643697,2.031312765471695,1.04682869368197,1.6177541361394112,0.7870674398723536,0.7818038881395108,1.0015045152791353,0.6303020212883095,0.6545343859546126,0.6548968837527827,0.6478128421741903,1.0576533505688175,0.6960777698508962,0.7051757075789892,0.7679321590714696,0.7921961745377311,0.6436478861213125,0.6575303329535019,0.6975862185812188,0.5260677861593887,0.7261372299328915,0.6529274576498569,0.8414981189827001,1.0733977351614017,0.8110582900159884,0.8842548311032805,0.6637658688304503,1.2147194241710488,0.560728213674268,0.5426139766483583,0.48011996710667904,0.5166185922704701,0.5505701401075601,0.5672124219490461,0.7981907505117095,0.556397142947983,0.6589902765896772,0.46927391392692736,0.50111365077855,0.48486007682933346,0.47474693985925853,0.5855246681428592,0.5293342512510913,0.7345017841956022,0.635931110391512,0.5283451160082543,0.4958001667341652,0.610737868967062,0.5819678340384747,0.4765122249468314,0.4239745667027304,0.6319505589113525,0.4249462303865586,0.4900977943868892,0.3918610956215523,0.47146820889792324,0.5667199646068356,0.5284362892937481,0.6148054098540228,0.45917658058743827,0.46873085120503244,0.6255466283167651,0.3724072818824476,0.31994864625904385,0.26975362599637004,0.3675121688178292,0.3808516845965673,0.4461260380503262,0.5194524374867495,0.5709694884358766,0.7199806201650523,0.5484205132623758,0.5409849899247479,0.5118009228128068,0.49570107167914856,0.3699855125281512,0.34628266597762863,0.36168701832013006,0.38543545336572865,0.41001838926537576,0.361400898015982,0.45055187285630444,0.518450945849321,0.5068185437954523,0.5311428762721551,0.5060574011676712,0.48440273090987507,0.5343914158706202,0.786656753752733,0.6110063622374285,0.6635766974110382,0.5413853581117897,0.8037011867817213,0.872269807399676,0.675329205376491,0.5688088008347904,0.5245111406293875,0.4718198626057002,0.4322571952627368,0.3697934411096894,0.3377584909282265,0.3797335073702634,0.4110064226992516,0.4904296993549531,0.716571921536414,1.5082184039464834,1.0042530989118623,0.5218849054887342,0.4170003407188848,0.39626624877665234,0.3744035212682809,0.3862329795723894,0.43149363331745333,0.4366171158110837,0.41416480616032825,0.4281449464120331,0.5098253099195564,0.6176524970714607,0.7507868170624118,1.1416466370246399,1.4698144281464782,1.3665561121293544,1.2816170903145814,0.7286601165070878,0.5963825680189002,0.5185557109720368,0.4119948552794991,0.45701142908774056,0.46447868137239,0.6317962169168739,0.4545175342466074,0.5400278777126756,0.4972361521862217,0.4852383187928076,0.5930803162611956,0.6719836049948363,0.7010685179451622,0.6423453407238334,0.5496564120922167,0.8369926639849943,2.366066859154229,1.0842449670561392,1.9347801549098278,2.079490513108292,1.5156081076746897,1.2234641375081146,0.8276952586707162,0.8731679468213833,0.9170724724831802,0.7110385695663184,0.7626965777528526,0.5986697640432086,0.5151323166405168,0.45172060612199,0.415732097241889,0.5862984796846156,0.5407003878926797,0.6590785336682051,0.7122791098392699,0.6668838304715171,0.8851784647219293,0.888139084210514,0.7967427245204083,0.9547665120893687,1.2378025459935305,0.9952559692206351,1.0617885578447728,0.912476753533961,1.1205376771444464,1.1033719538060862,0.8988760331908607,0.8308574011683308,0.8629607406413374,1.2379226220877682,0.9404941440920392,1.3369698723019507,0.7839419911927428,0.7549162818295388,0.7355747412773944,0.7102018538829704,0.7760577669269292,0.7120839361462925,0.7181432164490525,1.034761464862186,1.2228248949769946,0.9664614918719149,1.1011757167367704,1.400501515398931,1.3175618651922698,1.2756834600714606,0.909599275124823,0.5625936195689265,0.577515943083467,0.5931329780384572,0.9123696045892858,0.9424610684280466,1.1956345061312736,0.9952422982808697,0.7979056532808945,1.0353321398117619,0.9197857313776642,0.8394876297876219,1.2229858379908762,1.4239662290719728,1.1770784377412593,1.1686802274671155,1.4960681517746208,1.634326132694783,1.2759329916810793,1.2641325413870952,0.9808305850172747,0.8822346974601162,0.8300925266985756,0.7192711527539172,0.7051705062618204,0.6528565854413473,0.6218936569860763,0.7213609152857617,0.787497918100384,0.7922991914505698,0.9107499365040319,1.312139501158921,1.1565018260633424,1.1709498481339413,1.3038937013545104,1.489360489083912,1.4828462604381425,1.371151370050981,1.5754642106340948,1.7458892818689642,1.46813218953211,1.2790216790052173,1.0380877005137417,0.7933548876032026,1.2048069209988,1.2986599646492745,1.5873097314894054,1.7862693118175863,1.126818128134162,0.8254822452171579,0.5997500098227974,0.49304913215025914,0.8169503452762096,1.0208388770282486,0.7982433914414894,1.949580704318195,0.9101029744679279,0.6647535668583695,0.9181248800533828,1.2115260964980765,0.5389669018987525,0.7022638569817041,1.0242903456302361,2.491668374740576,3.4844297006972367,3.5130423300840836],[0.3045879832913685,0.36732044699514094,0.48711970303001917,0.4563136805547986,0.4308532273500334,0.3303352552425061,0.2617755328867496,0.38935183185478883,0.3383211845291513,0.302330212327742,0.35389635693845406,0.4297739704326046,0.3540688411079186,0.34037374911905327,0.4242695366229274,0.3780047378446662,0.4031619971720828,0.41715882817652267,0.44371780286619533,0.419284477824814,0.4911003125236737,0.48254325611214244,0.671771285872495,0.828129180189257,0.6984887802147703,0.5496059342366836,0.4819591962790776,0.40591733257746465,0.3924426727200416,0.40148377796941115,0.43629036528831566,0.43218223561710534,0.4711534815664181,0.45269521310371214,0.4263245365332699,0.40835574675889114,0.41950329943905484,0.42940960407183143,0.4028652740134683,0.41230702905349914,0.6102186301884028,0.5247275829307624,0.5172388418133607,0.6296158216606659,0.8712014632260084,1.310227515198705,1.2451690084714047,0.9752210339624487,1.9272014266052493,2.2057393458856045,1.0028430766849563,1.6627006009850882,0.7360925617499872,0.6721935300712721,0.9599840958415006,0.5556587429850294,0.5858927272621005,0.5341851048846891,0.5693374152066287,0.9421444900801741,0.5977477212186671,0.6811862959394648,0.7526754110161359,0.7247566945579901,0.5678614269956077,0.5925634196092254,0.6252546046058148,0.4729290513658649,0.664191044953777,0.6097268135203033,0.8091362481699889,1.0299537654135955,0.7794958490235825,0.8295319356445686,0.6049403064555214,1.1415846594844634,0.4935915403651359,0.47386537350253644,0.4326917199341537,0.44270132378626953,0.508238447972237,0.5384521123596077,0.7688593789652283,0.5609721442691976,0.6231679452655436,0.4510395388733747,0.44380997901889147,0.47737908578921917,0.40635546142855433,0.5330439361266397,0.48244055622912224,0.6901260936664985,0.5880044158264468,0.49335971096547016,0.46726172407953687,0.5632492442348623,0.5295759386071794,0.4734963885675776,0.44170456069474084,0.6547879225273644,0.4709876192207216,0.5485810721449697,0.4035159468705614,0.5191330659028612,0.6113832982362869,0.5224337057230649,0.6732309194068179,0.4455653103503274,0.4723291778544759,0.6255222050425732,0.3837540488433688,0.318040211807439,0.27349507745888607,0.3393448632607254,0.3382596207425281,0.3839602641516305,0.44923325460988195,0.4346837811147369,0.5936426894363361,0.46725984383806335,0.4493714306186561,0.437773362342645,0.36987506039696394,0.31149660563588055,0.3226707303429109,0.33582406893726663,0.36256315197076816,0.4076519306988359,0.3627234858004429,0.4492983392664356,0.47644018464169885,0.48504665476451636,0.49921890508819283,0.4751763973764114,0.4567798549928414,0.5365458040660994,0.8774831631070463,0.5207684091677138,0.5494406329737537,0.4727795313745373,0.7050079925735705,0.7159511502257088,0.539610475546299,0.451988895799076,0.4090853478043566,0.3887308968084266,0.3588734803317778,0.3506413440306623,0.334477951687058,0.39013791305823314,0.46447190688080503,0.5064043875983476,0.7526676696703932,1.4854882818782071,0.9420917494501361,0.5570086502023559,0.45223880118638293,0.4517578735028073,0.37966677793497283,0.41284405740944835,0.3942180579266197,0.3768192546536103,0.3620511681593399,0.38643881350571024,0.501022623651656,0.5900721376920479,0.8827072294685747,1.2651799312584526,1.652228620989866,1.4972804056561744,1.4254428618853732,0.7785766985477816,0.6962544256878683,0.4603609392647109,0.3936169848608221,0.463816189918084,0.44689943860189624,0.6560734846116032,0.45346965142611717,0.5500410525097871,0.5006446970606239,0.46053010270645783,0.526979398581487,0.6069557794524492,0.6313487950928945,0.5891993186308806,0.4608792584036813,0.8196185340721216,2.263870016755011,1.1025997568413488,1.7449990678345182,1.8383007391319157,1.3657215095830435,1.1401770458919607,0.7597723729223803,0.8118334991660194,0.9058130643108929,0.6551523980409845,0.7289592729005214,0.5508333950488649,0.4868793131346322,0.4318409339277826,0.38041689063569456,0.5786979846585543,0.5222448433878122,0.6128984787962223,0.741336387596635,0.6496079209104489,0.8607386684989552,0.8051972085330258,0.7336787052775277,0.8927285820987024,1.1873756396917308,0.8912898391754263,1.0063738508928435,0.9477938723243521,1.0987208580815953,1.2176503949133588,0.9497878746970636,0.8216290232582569,0.8773975013350627,1.2857947703890864,0.9412436318824756,1.360786475763274,0.7592615876064109,0.759898093701937,0.7768771586407703,0.6958456375464925,0.770094484302776,0.688180202353825,0.6886444183307796,0.9816273455480119,1.2352993736901026,0.9623644011926684,1.0693567647712527,1.3648657645764428,1.2744502288693533,1.2395253893942253,0.8999466148050376,0.5185830974353386,0.5400207305781328,0.5972672877992758,0.9173222478561205,1.0001101258334812,1.2258646378900606,1.0512114253882887,0.8395107600410331,1.1001149334379625,0.9798545290330015,0.8790963306228987,1.302624202088514,1.5123507746265066,1.2153224070552717,1.2186219542623802,1.5816353307188646,1.699226096073587,1.289093665975083,1.2976949618388751,0.9827568973902034,0.9041332728710293,0.8531667668033623,0.7258171508758001,0.7145008574591647,0.6361776574717419,0.6030674130717781,0.7172911008378425,0.7941778840282063,0.8029713245476267,0.9078531049945121,1.3458879292955546,1.2123749495789304,1.1823959802495978,1.3239828232553095,1.5346708896537937,1.5761760648300813,1.516875805563113,1.7033963332226778,1.8858351609215425,1.626334882151643,1.484005045988895,1.1817043141890093,0.9169258866374232,1.4755754226504432,1.5543517795997024,1.7967681798773327,1.9397312987712014,1.2089953791758867,0.9093702806689192,0.5786322570330692,0.4485648827500335,0.6717357045951631,1.0061727802713452,0.7805566616884627,1.9678061268383855,1.1237263326749458,0.5801644532752779,0.9507320876992917,1.2791990068052188,0.5300629147139645,0.6907603318874895,0.8945387186704543,2.254385198518931,3.2195821180197073,3.2670843144921435],[0.32032144622987097,0.3773890229226633,0.40327550564122355,0.4420855314096644,0.41393902896081364,0.3519279066383391,0.26059639483403524,0.40620474051478606,0.31455619056926176,0.28778310062893564,0.36386835310288124,0.45565906211267687,0.3418376205358092,0.32543262300928616,0.4449390797355572,0.38766697288850593,0.3886598333611274,0.4224381811874604,0.44090348765567305,0.41817882348845375,0.48017400564255525,0.4482835138966621,0.6325272606935749,0.8305333011919395,0.655968170587218,0.5341339700744518,0.45902139761853084,0.3868888801210533,0.38870062960863877,0.4292420611333068,0.45358662457268406,0.46424112267357137,0.5320632355609142,0.5084581177997738,0.4620128708799575,0.4212714977325215,0.4431994876518828,0.40394783339461704,0.3763149808427095,0.3924792886879325,0.6187891885424465,0.5049274570767612,0.49812346778094224,0.5881361080452785,0.8123490828854336,1.2382992519431502,1.1368967999067063,0.9347045921574336,1.94716422499233,2.1195238081376147,0.9806622586411645,1.6267368198265302,0.7177023964457209,0.6508064379879508,0.968308179269566,0.5600828249547191,0.566921001872872,0.5670941496841577,0.6363760368856123,0.879254174262735,0.5927189168077258,0.6919686196117903,0.7700222478807107,0.760976716638188,0.5724751301526692,0.6008076444201383,0.6781437888807255,0.5012975215982983,0.6702815922505483,0.6118576414354454,0.7992554406099126,1.0201555131550506,0.7889628589983214,0.8390026248639,0.6263015538445458,1.209805600324861,0.524154307359726,0.5170228486782029,0.4667571489395509,0.4821200494219453,0.5415597857641619,0.5435514083055252,0.7996407119387848,0.5463921815667658,0.5960813624779446,0.46085011485422606,0.44851039347512656,0.5128316433674089,0.4295145017063722,0.5950239502110499,0.5250141012774481,0.7148392806373134,0.6006826421643067,0.5393127864912672,0.5004577725764495,0.596266378192983,0.5486190459288776,0.5206327998173993,0.4962395412940964,0.7379865781229253,0.5217365154941511,0.5869031033880093,0.4478571570134492,0.5503244766527244,0.6140325876400946,0.5047670975190748,0.7022888755188975,0.44214164344475737,0.4920481600875501,0.6502060101028754,0.3928842494524511,0.3080296545805647,0.2917462822982173,0.33225636264348746,0.3216237023717739,0.3786299798580267,0.4198359450655791,0.427204453247778,0.5676524568044442,0.4766385780335886,0.4536359688816988,0.4207487080747438,0.3758629027550072,0.30742225919899746,0.3151060808154616,0.3178748018970083,0.385630046920205,0.38579904036530993,0.34482379892543846,0.43689323928648166,0.4429340612460666,0.45861614395409833,0.446554565729487,0.4880879253941321,0.4221359982641036,0.48880795104117036,0.8928784940635442,0.48282480552881946,0.5268296322569902,0.44060864880216577,0.7087910453857904,0.681395100628215,0.5158705642721516,0.4266493808945389,0.38014571272272163,0.3692934951642892,0.33818539390233165,0.34738828272620564,0.34398987643947854,0.40572331237994735,0.4995947486761573,0.5537344468884584,0.8598879218593315,1.628287108083013,1.0029531006705843,0.6271484333177118,0.49953636910732124,0.4894065240649081,0.4052441769060798,0.4516934974827526,0.3502231995539739,0.3610799597326927,0.32759094649377724,0.3540459213540963,0.4634787256086364,0.5529724651767103,0.8282070681334661,1.1826350576465223,1.579731386370242,1.4601984463022557,1.3892569280906883,0.7608756337543524,0.6719332201232544,0.4051606700241654,0.35579384133236264,0.47562048739025614,0.44594049201385777,0.6960568777390985,0.4517016478067938,0.5636694133465824,0.4498841731406253,0.4403531010616487,0.4770394580739632,0.5361200997529075,0.5542333043921956,0.520095127897522,0.4198451950143981,0.7035820523235247,2.2105836886316728,1.0947096260028448,1.6322502839783826,1.7645927522765381,1.278919123653255,1.0766205489927794,0.6821504284440764,0.7342989230014108,0.9029274472069612,0.5748712977721122,0.6620617564425895,0.5092793973480882,0.4468555448353145,0.4448342886469939,0.37844072540529805,0.5607340473790341,0.49906792347024626,0.5533535604462385,0.7939272880865025,0.6423257350386304,0.8040330776191599,0.6689977615696995,0.6815815425696985,0.7779433219963025,0.991801955376723,0.7848280040611019,0.9558047630054654,1.0395127893953888,1.0630232918290277,1.3189214177678716,0.989704555239248,0.8140704755296266,0.8635213666954475,1.3598917631715415,0.9503229839891277,1.4344820832866323,0.7490292986676854,0.7979747587882257,0.8190383618695334,0.692144721146176,0.7188629830293778,0.6238687286246145,0.631423185829018,0.8766840060172585,1.165828482990782,0.8900620931053258,1.0222296343351327,1.248832957314865,1.1813559173209465,1.1462864251548208,0.8430617814783028,0.46648595053556824,0.5332270146347605,0.633294083918666,1.0259220209069466,1.1598743101577191,1.3703780568666886,1.1452413971723527,0.9226069204989233,1.242408560730221,1.0708330704048528,0.9226367179092174,1.35999553564837,1.5475419836650932,1.181130714745704,1.2179548949560897,1.5934385747731268,1.620961919938779,1.2117551590650448,1.274234721093084,0.9459701385309643,0.92243491310219,0.8898828753557563,0.7651329615375431,0.7076597679479574,0.6137502627926809,0.5848714296584034,0.6896743181544683,0.7811170363682491,0.7730940230883068,0.8520936318020219,1.3091865882100713,1.2018244709130166,1.1298736856233755,1.272460438269873,1.5202853002432146,1.587746516340378,1.5719182843490893,1.7614533473285252,1.9515689957115705,1.7418749988607765,1.6114301293604256,1.280508055506643,1.0559439950481428,1.648165854008222,1.6650316396310485,1.8523036440756988,1.9571050279828175,1.2233783758063752,0.9685508123406277,0.5522248942009387,0.4216405987595997,0.5378443989196827,1.0822247158361464,0.8809324435393809,2.1264661698454503,1.2457934215376312,0.5648394944991614,1.1833198770355824,1.2901905513309908,0.5337294355566717,0.6447291466069518,0.9512730118416898,2.4659753686347545,3.6109846591302923,3.762972558216879],[0.3057048629108536,0.3363534289142814,0.31290095329975304,0.362678975911469,0.4115784355519023,0.33513743574161103,0.2561795822980918,0.4312967827039337,0.31746644236287236,0.28490821292576435,0.33962771319388657,0.43868879274232553,0.33607261141378447,0.3020100582421014,0.4385077512866489,0.37849257910599393,0.41008098650340435,0.40848363865698617,0.42063537214772717,0.41011887832760646,0.4468696365756175,0.43098474510881674,0.6163053067628109,0.765217341762867,0.6748348427690831,0.4976842753237083,0.4135483595228926,0.3653759149369766,0.38578857737014577,0.4239072136548394,0.4410119047816134,0.472328488311335,0.5041882108475133,0.481272637891835,0.44727593720322195,0.4058823239251673,0.4579810941006209,0.4009036027673642,0.35476159113104655,0.37107181074557277,0.6134537319753176,0.49641236806721156,0.477283229479839,0.5740402418084394,0.7563940433479259,1.2620389548468258,1.1378938153570184,0.9516932465162783,2.032173921903533,2.3258965490538643,0.9518303116796366,1.6944928575526017,0.7154750012874711,0.5988216033157304,0.9651688660564735,0.5457454686730535,0.5512809684940303,0.5188717378491251,0.5940007131545005,0.8652171105187457,0.5723633539581107,0.7137734698494904,0.7928903328282707,0.7015127198959821,0.5374002234340336,0.5829372732686651,0.6602860669085592,0.48607223134945216,0.6417128189455731,0.6073823521390689,0.8186112976444955,1.0268759585386107,0.7858327230359817,0.7922829163305684,0.6141846376241289,1.1098123451634976,0.5154507709142884,0.49072213633622,0.4456165552623096,0.4673495962012588,0.5410607949933428,0.5466776563429825,0.7796057951934291,0.5663131655084728,0.5912642794392513,0.47530590140493006,0.4418279422494489,0.5229558560766869,0.4116271364259028,0.5737830644984916,0.4963451745048123,0.6791139608681638,0.5811494079829477,0.5221581165362372,0.491116212459078,0.5755836426025674,0.5362857134686092,0.5148125151418632,0.4987897779117213,0.7162259016424545,0.5288518398084966,0.5878413407733044,0.4721919498349921,0.5707465898228514,0.6356807156594514,0.5258239472052104,0.7626281938687763,0.4772566586630787,0.5183673686832976,0.6413208724329661,0.4155872002899582,0.3277971870124432,0.30676942182627065,0.33958498260123354,0.3171076147602141,0.34782159998972645,0.41130577246882466,0.36288008874009997,0.48518154409375175,0.45242411873270416,0.41924973358498924,0.38792198303000347,0.3382099611190892,0.30742423730526414,0.31489382029623886,0.312087604604615,0.3868016221986344,0.4291319122460402,0.3833822920987656,0.45313014671990964,0.4556858239049762,0.48818571097401753,0.4589549575643733,0.4931225549963923,0.4331136705215244,0.530527380968492,0.9941268244356836,0.48345723868289575,0.47878599482662726,0.42881227976857833,0.6585977392833453,0.5998392884957912,0.45424638531635486,0.3800820975621142,0.34194014729753197,0.35406863820962947,0.3273775337688155,0.35893066842303406,0.36005185657730915,0.4060514087636967,0.5097139202955455,0.5155536549865883,0.819932348249583,1.4398745571013603,0.8784300179466538,0.6003795578665626,0.49960673138847733,0.49942783086756337,0.41392002230423375,0.4900574224315086,0.39251136811467474,0.38467275390635997,0.3391598340477922,0.3890068282622927,0.6274997919093088,0.5931107387964246,1.012743855560119,1.3536620278237512,1.7679312905329736,1.5733629386609527,1.5225829861738698,0.84936415741916,0.8117269831402683,0.43332635310728884,0.4012604529832341,0.49718586461647957,0.45945053120532625,0.7170691159658943,0.4733940315438531,0.6039162767846079,0.5307979981205522,0.4546328096243692,0.4795134182826085,0.5610570124911102,0.5731164803854587,0.5741741294221848,0.42366344578228,0.788655638480489,2.143837573421861,1.1762713840938284,1.481012552641887,1.5199599617925217,1.1559400871946648,1.0151060839911947,0.6524096323715631,0.7161584877332002,0.8996305840374885,0.5799616398229518,0.666212048559433,0.5150051447638774,0.46894178096754907,0.4871120013474937,0.40099141431702373,0.5769338379263342,0.5325261751843737,0.5843235727069779,0.8307319963237214,0.6642217564720997,0.844853817468438,0.6783280154744408,0.6952232883866735,0.7909717102358066,1.037149682384823,0.7822114261874134,0.9612336563388172,1.0904753727198642,1.0609331096465315,1.3631316066551273,1.0172319214121361,0.8268638299618155,0.8721148269735071,1.3827727519625006,0.9611275829791603,1.4566658168470066,0.7681720123781565,0.8272924980955595,0.8576070640916482,0.726697608475659,0.7546419977802603,0.6484432609205965,0.6486738488796757,0.8660450219379057,1.1748287443591203,0.9007289712962069,1.0164835336406965,1.2406938769337632,1.146759946648302,1.1235428252365012,0.8445144875434912,0.4974724608806421,0.557749596927627,0.6613583394239309,1.0406094455901886,1.1895841561609188,1.3625534736751626,1.200361488866093,0.9628555576674871,1.257024580570474,1.0998365037069948,0.975024872901225,1.4201534025545033,1.6152661934914554,1.2489792990502706,1.283782714982798,1.6683811021463915,1.7202548262062634,1.2715182607901703,1.3306819053082315,0.9883332363827264,0.9703008285077636,0.9437689106462667,0.8093008230167891,0.7441736597772814,0.6443190897273221,0.6140648835088757,0.7122142159513317,0.7996403914482452,0.7902139824548999,0.8638643070164487,1.3072724179299389,1.2113222959259649,1.122207591070238,1.2601320878637507,1.5064392881476958,1.601273274992145,1.6256589536733943,1.8006457340063016,1.982332827321163,1.7951267915679285,1.7089626211230746,1.3551954511718087,1.1702150419396935,1.8096555467825126,1.7854289022179897,1.9194853994709085,1.9845490013595697,1.251605464501749,1.0018839406187432,0.5637130081274132,0.42455561699247085,0.5065406918111391,1.0001772913853855,0.7841957933707708,1.9962038070273718,1.3681747549471013,0.5390648467342258,1.0764873286358552,1.2796858715203758,0.5124258283845546,0.6353766698397865,0.8337363432080755,2.112536108923538,3.133189123611464,3.268845346845028],[0.3155797423625445,0.3421551071925121,0.32901602308511196,0.3742959953175958,0.4062844119861967,0.3609213712728619,0.26671905301071636,0.448964136525981,0.30903207189636384,0.25554534930365225,0.32751128382395056,0.43672358228146824,0.31257739391409545,0.2814233856145563,0.4349882599481793,0.3767134411405149,0.3795866353786735,0.3926336162241787,0.41664174328966824,0.39158251540047395,0.4658700666040507,0.42920817089968316,0.6073254294758701,0.8204198666611988,0.6545145615633059,0.5142266290838389,0.4245993546813623,0.35758628434570533,0.35626431927379504,0.41082194613225786,0.4407399635646682,0.46991270259885193,0.516193347664832,0.4909978109029701,0.4528203051267309,0.3937514510690504,0.4518095429172648,0.3752465731918292,0.3384705955797776,0.35614865331109824,0.6515322192711902,0.4739967935738489,0.4548280355339288,0.5836265908160079,0.8068591187915047,1.3012505289884442,1.189494356987834,0.9711358600071469,2.0293354044161465,2.2687757129922232,0.9433229051469749,1.7164819762569792,0.6930932138336007,0.5991743084211617,0.934948492719244,0.5075924975242841,0.5457933982810687,0.5022263479267028,0.5840641831857126,0.8479619992184794,0.5663637515960511,0.7232697834184453,0.8099662587527691,0.736038961118441,0.5397657402578884,0.5941254525049303,0.6624106572626323,0.4711584899367354,0.6530348637707425,0.5976724862226428,0.7893924871951715,1.0293761861196435,0.7777340285797002,0.8080947623223648,0.6122809390114785,1.2012566211119895,0.5080808659732992,0.5009298580726266,0.4518763168798549,0.4545675095358375,0.5212892940841751,0.5315810762860435,0.7765910763205026,0.5670092359616032,0.5769085341849501,0.45453855997767356,0.4280448369793412,0.5291041076894621,0.40867060008774486,0.567096657467078,0.504550448323731,0.71304708888923,0.5988466034312092,0.532058100449402,0.4940272094335059,0.5785850885161393,0.5527422965451677,0.5129991337841634,0.4966536459569904,0.7401851613681576,0.5458444718498573,0.6273553972241074,0.47334330538341923,0.5860803949141054,0.638919816415702,0.5128993030963237,0.7541006246067167,0.49942411655015895,0.5442132585930012,0.6674558547929162,0.4389583804420508,0.3292627870992417,0.312724796754574,0.33795540740080204,0.3068564899162369,0.35347189521338845,0.3984194086885101,0.3884648735897409,0.5457246559551279,0.47893087066900125,0.44074971215091174,0.40955700888770136,0.3395823490611926,0.2937583471162552,0.30716762385892865,0.32382026727927965,0.39150781360264625,0.4246733929089564,0.3880132611181289,0.4701568380473232,0.4579359553976364,0.4872380667977475,0.47112624490838295,0.4994935227582374,0.43790675560682285,0.542554353850845,0.9888161338505234,0.5009506072122136,0.5023045762159729,0.454313745512202,0.6792638771642678,0.6464939053399084,0.47648629502723355,0.40061840097051765,0.34986407577776896,0.3418680906080186,0.31653483060495724,0.3522891718766115,0.35610427401169165,0.40831745935654506,0.5237927287787347,0.535518634994403,0.8580137907708916,1.5117171067447812,0.9063087926221894,0.6296146950799544,0.5129689446543397,0.5173418400073304,0.40467306017090243,0.48640001111508147,0.3836625271430433,0.36887696690101873,0.34305580104586186,0.368262037243598,0.5823564639290675,0.6043825041017663,0.9851499595626904,1.3486859787198384,1.7716280285048371,1.5747818196873187,1.5199484037482207,0.8439051169318829,0.793887848794158,0.4276160856807236,0.39204850141799663,0.47983907226471356,0.46403072244060006,0.7124145185194087,0.47618125782176346,0.5663528352091917,0.4981339129380531,0.44125847484244135,0.4682387336293057,0.5506735616047326,0.5741560571492281,0.5543872381161039,0.41793496277950565,0.7658266779472471,2.1920589340907077,1.11646741787436,1.57862292164674,1.632304461636963,1.2321307406316455,1.0613397335578452,0.6839896054023655,0.747937173073274,0.9027291073114793,0.5864656858118801,0.6650864541926197,0.5090301388872462,0.4740125067021702,0.5180222162429481,0.410407363561289,0.5671244748766876,0.5526056737918401,0.6064471159156339,0.7979842742716815,0.6659304296146777,0.8841335550321421,0.6874317432300834,0.6902735916947266,0.819957882900093,1.0614009528739337,0.7424595900098419,0.9490799863883177,1.089923344862467,1.0819095917269983,1.4085059497432377,1.0401385023731464,0.8631955779039054,0.9229483080236853,1.3694026439200429,1.0189669834865231,1.4952216099022768,0.8062884731158879,0.8519189517480802,0.879503341783228,0.7462062615074287,0.7972173518116521,0.6845036546085086,0.6852536586329767,0.9040650627500598,1.2248897647795356,0.9344829293345945,1.019483220529282,1.3019448291496476,1.1836393894620572,1.137122431712318,0.8483987430783664,0.5084287296044955,0.5710334723062193,0.696971290373565,1.0869914640169036,1.263610714765599,1.4257078617673764,1.2627868719087,1.0277045339654365,1.3375054080608253,1.1561866606755045,1.0294239445529174,1.503889433386854,1.6931405798199628,1.3026550394146674,1.3689222079860117,1.7793544036618563,1.8015370336299867,1.3461206080762487,1.4359961443970468,1.057941492782524,1.049037210827179,1.007871530428021,0.8637869044662221,0.8061970534213144,0.678270000061918,0.6467353858477634,0.7439990724510824,0.8258156507042589,0.8117263696402013,0.9056031417662666,1.3659010815357606,1.2412946766178796,1.1546705292419144,1.3294964115715628,1.5832123127862268,1.6672030155544417,1.684983085004442,1.9324725768072961,2.0945761772915517,1.9042946676416175,1.7421580128904213,1.348172900023346,1.153662341898451,1.7891925633043892,1.769525008831674,1.9442695826789347,1.9852511122014045,1.2424071958232692,0.9597682332290627,0.5491232519548692,0.4298446466570427,0.5227058040778332,0.9848893981474343,0.7966467881715127,2.030913489642693,1.3817436035043011,0.5862540917991276,1.1280066983732384,1.2720058539773127,0.5104182319640714,0.6151734586665671,0.8738643948287517,1.9949454839019085,3.1875901611666166,3.5262424475325185],[0.6120074237230501,0.4619441210774732,0.44104859486077735,0.5328740436712927,0.497676058508757,0.4055961141315992,0.363510325655,0.46262666069689307,0.3715214424752832,0.3855350674996131,0.41795040581211956,0.4828460675791167,0.41466576191685933,0.4473789954039471,0.5363268160933258,0.46408043874603,0.5446538971564734,0.5507825242474389,0.6098305225976232,0.5650291284023263,0.6793645441912665,0.6463457318180079,0.7879796315634607,0.9902989913376186,0.7817629454124093,0.689946784050887,0.5848034676914969,0.5261984828707702,0.4731359909897225,0.47448783752142354,0.5221214456292946,0.5035407477608296,0.5396735962384652,0.5184701325956027,0.49286269548495776,0.4754106473529405,0.49099917393946313,0.4476219013186701,0.433091247172506,0.4349501314078771,0.8463868967457588,0.5423114601665407,0.48000232993486003,0.684432001709634,0.9454664282967367,1.5721052410121228,1.4520746422419961,1.1491548344807327,2.2246691960044918,2.532340852564235,0.9924854495860416,1.8996454446107678,0.7369958817077068,0.6494462885905284,0.9165556060166858,0.5388755899191593,0.640358698041704,0.4911772872979639,0.5596211014887105,0.8694663163777373,0.6538955796620707,0.8065917960186854,0.88119851531054,0.7509686368666606,0.654079474810965,0.7132359776586245,0.8262129685043974,0.609270891166175,0.7941939930764336,0.754791049954145,0.9448126340548354,1.176414315451793,0.9252010924409607,0.9202703055885452,0.7058177970529554,1.3013506149398952,0.5793996279365802,0.5643767663191464,0.5331051655246236,0.50810273572244,0.5473996980219186,0.5483936709457247,0.7601370179057612,0.5846306615155242,0.5963172771316362,0.48829149093510177,0.48242511899352014,0.5748257944095763,0.49592680279587836,0.5806691645966584,0.5488828619408495,0.7657035336589169,0.6610402073829419,0.5782612333129654,0.5454501096577334,0.6161071802557759,0.5967216081688096,0.5434232994031339,0.5347443089928052,0.771078442144968,0.5714359833089997,0.6352678878776782,0.5285411281530326,0.6198806780118995,0.6730837941833873,0.588496384996596,0.8709466401963437,0.5895307982153544,0.6164879755504612,0.641291819500654,0.49646956287024674,0.41386550808590183,0.3881112498299062,0.47314295401270656,0.46743359515873684,0.5323216894806213,0.5407321803170231,0.5857710495700226,0.7071593148192054,0.6736789774585552,0.6471556773847853,0.6101674424475728,0.649655844084021,0.5644543212921209,0.5053602408054466,0.5210700300730355,0.5153080348635322,0.5373688465392709,0.5093965857074396,0.5373732637238688,0.5600984733998784,0.6108664559139163,0.5698709582153403,0.5571974054488762,0.5310742792882749,0.6714797650363366,1.1996756103106023,0.6666332703792197,0.6611558274383227,0.6588879849501106,0.7931758485732547,0.7608244186185695,0.5918966632517467,0.5418409297509031,0.4930348845497318,0.45579097873436347,0.4511672632657937,0.4580931482907189,0.4191481772786885,0.43677310248135276,0.5296432899464826,0.5341324521602235,0.8598915354141521,1.4114077527473623,0.928150097508492,0.6582443673620018,0.5229761110227098,0.5303817306471219,0.44055474875627326,0.5186755903596768,0.4519212758276979,0.45573373166040043,0.5064433804368801,0.4938389284734649,0.8667960476695952,0.8998129577478468,1.3051504460962788,1.6703676227410698,2.0941689933954715,1.8166686146773494,1.7588377438816836,1.0446751434169266,0.9835912231669787,0.4893322718914206,0.46048224601169196,0.5114023825515416,0.5027444300659278,0.7166064093458393,0.510452899959826,0.6258232041017772,0.5952034574176246,0.5061580074590477,0.5498206217563988,0.6358546189957558,0.627286757463835,0.6005052515773086,0.4948213423876203,0.9346072583997435,2.1985057352467927,1.165147282995864,1.5434806662294445,1.5450319214051456,1.2106502941397441,1.0780136653917167,0.7407908634487663,0.8256197830965694,0.9399977766392049,0.7167291875870913,0.802917452713457,0.665223086164595,0.7045641421542908,0.6868080579055187,0.5946637734786563,0.7877866317830577,0.7709573728495843,0.7413918504736866,0.9845522922069077,0.9144855047294856,0.9790194829090785,0.8225662850956439,0.9184789716344994,1.0051951901606242,1.17279494768872,0.9325899532940126,1.1789981142765888,1.3595106683362257,1.3430330398342185,1.6774361220229428,1.3228260004222494,1.1723861565527223,1.240390128766318,1.698734694142668,1.2051924735829882,1.4577283703188488,1.0105141978406882,1.0188431579651707,1.0255650221007182,0.9440296819380161,1.1091699862626923,0.9767392980180937,0.9277214461525727,1.1595654616320852,1.4590783632536626,1.1496596805082155,1.157133856695829,1.480658405326177,1.3230296532275494,1.2469448514918142,1.0255966055901848,0.6995878919765756,0.7347460324494041,0.7989241243708846,0.9961658908664617,1.2397944431928265,1.2366577889199488,1.1764288463902939,1.0651789468535726,1.280356207043786,1.121963960386714,1.0450142918745868,1.444574395931024,1.6100352485271932,1.2725930566687356,1.3823023451820982,1.7395257341257595,1.7914894052052102,1.385858100026515,1.4728060701922203,1.1913992617640727,1.1451517210128115,1.0779908961207256,1.0122086739021432,1.0661865182480093,0.933054796816614,0.9125911828378499,1.071532268931162,1.1397891504837847,1.0793274874138539,1.2119624211003208,1.6459032758469403,1.4561963006698149,1.3364563189147043,1.5437369046339424,1.7246737992729497,1.818247423670142,1.8482277615925642,2.1079327538675625,2.236526575498691,2.1274908600865223,1.926653863779539,1.545556220404425,1.36360388488939,1.9374989763703654,1.8706856780476033,2.0127002204584428,1.9817178083994886,1.357081124752661,1.0171833842376532,0.6688085042502497,0.5133411872387855,0.5705831672888334,1.0504749917766272,0.8732801925246263,1.8545656402331545,1.6162578977805178,0.7639855145066025,1.3112170140311228,1.318173050685989,0.6985570181861224,1.0000176913126304,1.1522264197519048,2.259498199719768,3.385591971524669,3.7605378891285506],[0.416258370025403,0.4029215808761803,0.42169967580857337,0.44089016237994477,0.49439528077736455,0.6258330672733096,0.6154148390527768,0.7566687947197982,0.7874447765778017,0.7179657199833914,0.799673224088316,0.903431363148859,0.7633439314391712,0.7029062034866161,0.8095162331984119,0.7844342313689654,0.6862904059330097,0.6960649284618051,0.6298361796440175,0.6527889112190802,0.5874902868075894,0.6055138721539172,0.7556828189556992,0.7676351338124661,0.8625831435267904,0.6281416907216694,0.5745072295999861,0.5995037773856168,0.7136551482807553,0.7749363037242093,0.7877299900319003,0.8831866787380714,0.9548986669999764,0.918903559809147,0.852678033005814,0.7594656788231811,0.8228670742933274,0.7331776774056353,0.6467638009570104,0.6497785949758631,0.5192189431326644,0.6968952411421566,0.7381781791711823,0.6738340646346449,0.7305814518847282,1.2484775754313275,1.1532470289529717,0.9580702099856255,2.020279834574532,2.5092161065078793,1.1087085375260088,1.7303549182447024,0.8985410468730896,0.7654324662173609,1.2057924055826,0.8557635979039103,0.7015171208225642,0.8249756232890051,0.8976404202171211,1.0364898696965308,0.7721901171003572,0.8824802489134728,0.9846415030682185,0.8843333161979094,0.7252567861054348,0.751244677856923,0.8117314082937188,0.7644774653231289,0.7937850508552514,0.8092722981281548,0.9569552154117423,1.1185528851509534,0.9358918713048412,0.9377515983759875,0.882576331219965,1.0053166436149827,0.8467144605839081,0.8500428958710149,0.7961306629292697,0.8307265035007455,0.9068801600254818,0.8654839329346784,1.0717763451366775,0.8009830440623937,0.7885704473397335,0.7884762619894715,0.7572626175869162,0.8337410342919377,0.7549573134643425,0.9689819443827611,0.8574828690127415,0.9041963595038014,0.9027749671964606,0.9407774742674353,0.899134560979999,0.9946074355596831,0.9137032670107174,0.9603461544901587,0.9674630414941425,1.1448719857633847,0.9255307968988277,0.9275242963598711,0.8806832779060348,0.9153760410800561,0.8733511071779749,0.8321884559142956,0.9858015921997659,0.6722546449120124,0.6858834039417896,0.6969281950002586,0.6147131877153692,0.5772900958255618,0.6199951536099249,0.560202568031517,0.5689239188631481,0.5113316098571329,0.658828047248782,0.49346137476799296,0.6056649674445767,0.6308225157047217,0.5814365564316066,0.5860099958531196,0.4625672087471055,0.46652110878374475,0.5031508963827496,0.4365247809234707,0.4997304796387681,0.579502512177242,0.56844790812781,0.5854243033878377,0.5996188285410096,0.6852220728220386,0.6194577918489774,0.6475186818820137,0.5531154730452521,0.613716991815694,1.063489660376574,0.5241348191613985,0.519789873712468,0.47057910292807187,0.6367673285907741,0.6423996120843648,0.5827404964613857,0.5430741064284489,0.54347553642901,0.6271530240755523,0.5841156878822896,0.6363349885579217,0.6543536994954885,0.7188636545338283,0.788846163655696,0.8909871171272514,1.1001509846601216,1.5600706884164552,1.2186456417250908,1.0074130539675847,0.8966567338213164,0.8504471913619892,0.7992731332383082,0.7774347824215159,0.6374328455637235,0.6492633965405656,0.5166359145065229,0.6019699085056686,0.7916033530602262,0.6330089760122308,1.1320939796851954,1.486384071946301,1.901741821895702,1.597696007468216,1.543495239268138,0.8388193249761587,0.8671018397321514,0.6506993758087019,0.6788765757475247,0.7934860716535709,0.7559239188735036,1.004280527656153,0.7462835447511521,0.9792321586385736,0.7656572780605361,0.7360538920592528,0.7406153244075349,0.7885045876354972,0.759455321892513,0.7917779049372227,0.6594425963014787,0.9600847388998727,2.0586457613461375,1.3828958113109044,1.3481486453812899,1.2364951968347635,1.0459901247218202,0.9801824785418086,0.7212673167179361,0.804962357689669,0.9277949546212247,0.6884820683426652,0.7463424872348555,0.6733650604050343,0.6298424262924743,0.657746956321182,0.5917342065328955,0.6929177301692065,0.6478364091552787,0.6677579863255352,0.9196985448271416,0.7464865468005095,0.8912886275993571,0.6911503965062918,0.7533486322934552,0.8458069743590473,1.0770898854905668,0.7849334479287194,1.0263872897578867,1.2185535635347062,1.0925594561087555,1.466818308568076,1.1011118698472104,0.9093242738018835,0.9664123853059299,1.4471055355269857,1.0844684447317183,1.502982343292533,0.8349180393219667,0.8842796686732686,0.9372727259187508,0.8285577273725804,0.9021811934715592,0.7939025761956185,0.7907907089109328,0.9488829030693615,1.2671953486742198,1.0105586178131511,1.0868287663700364,1.3164997454839593,1.146562155755852,1.1529782740111254,0.9239825520978762,0.6708159204543986,0.6761559523284874,0.7372507236370164,1.007651488999624,1.2033486176506394,1.2701263004393388,1.1974223301548823,1.0228168834801408,1.2770404265766322,1.138895612602259,1.025251941504355,1.4482138928131314,1.6221165710511642,1.2732236211493306,1.3596317742254962,1.742950113818623,1.8122105023409416,1.3540867972567185,1.436924176392624,1.0898271725241957,1.0714281165330715,1.0180318000586763,0.8969832904581677,0.8576797331893833,0.7451921653729885,0.727524741665273,0.8058573302680081,0.8783518416764408,0.8751461911470975,0.9360707283586905,1.3360718294446674,1.2371445507101968,1.1425152206446267,1.2852650487895534,1.5205815410093744,1.6349513042552737,1.7116041861480678,1.9002226702427136,2.0491876830874007,1.8801951159908492,1.8363439577881497,1.4441403402052215,1.3509382306231073,1.9967715412305644,1.8753878114329676,1.9498169015631837,1.938847674097334,1.2767221507212092,1.0835191105645572,0.6762042882082921,0.4895463696905252,0.5860877710825129,1.1443750379162032,0.9123049014825927,1.9003643379974942,1.7898943171609354,0.8123074078161935,1.3702814361921087,1.4754460202507114,0.8286152290910047,0.9703598205344324,1.2174005794087692,2.1059934884055176,3.162703629719864,3.4988485518248504],[1.0219547430661358,0.8201297809684384,0.7622513532810015,0.7047130222817681,0.6923418897942237,0.7334538961624346,0.6437228114446785,0.776098529071779,0.7205238458882236,0.6378406850317543,0.6713796603155753,0.7905325017202209,0.679832279702432,0.5963819674086404,0.6881655985183748,0.6641998152852,0.6039358517803518,0.5928129448044017,0.5756406550321944,0.569317818515491,0.5176187248795643,0.5523827142159106,0.7497050778804544,0.7466851138235688,0.8344577450711722,0.5888325786101024,0.5597921075844421,0.5497193669438838,0.6477862676750189,0.692112509344089,0.6706443966529233,0.7677402098931905,0.8195381877323795,0.7743933478714935,0.723499477430921,0.6476318350161685,0.7579582118239062,0.6789349023003423,0.6278777056266731,0.661221700595953,0.5749613183839996,0.6872285863491381,0.7107539208800383,0.7285528724486944,0.8022517708354012,1.3168782466673428,1.278401384770253,0.9813395307772292,1.9874786171512768,2.5676928485649615,1.1253521926708863,1.7338007688915456,0.9193419617329789,0.8032831075068445,1.1808926201469028,0.8222232189236784,0.7124863119573167,0.7593498033303352,0.8000551095363769,1.0615673263432932,0.7368110864466986,0.7858196038757603,0.8496719296086854,0.7553882286867815,0.65382264407233,0.652372542012244,0.7055482117640718,0.6400136924588283,0.7159756532215393,0.712136252668837,0.8803599427442091,1.0593964851951927,0.8509884552794067,0.8664089709344859,0.7409480505664332,0.9691057230633002,0.689697279419414,0.6948167056810542,0.6584114520075376,0.7113180401220665,0.835161154289535,0.816714845616125,1.0558307535489444,0.8513333355183823,0.8332468091119152,0.7592170774688032,0.7068857827022104,0.7805187987778127,0.6368465676214673,0.8240043659206571,0.7037352715472872,0.7827828956938995,0.763003109840688,0.7762212020358886,0.7504160096297652,0.8323079682776668,0.7648581457670323,0.8311770902754512,0.8528051140540297,1.069498586277469,0.8484768703604626,0.9190857513924193,0.8481139888967848,0.9515411948206215,0.9487398854869401,0.9348743125808897,1.110161787787049,0.8649665098348317,0.8729765073512255,0.8481341034838733,0.7849882380238713,0.702598864592398,0.6658493600711666,0.5977817534038485,0.5444525273957246,0.5052259843769522,0.6273661876376788,0.49508120001323574,0.5822930376644151,0.5470022603239234,0.5338274432176822,0.5289587887838018,0.47980664477035967,0.4600129539437054,0.5077556371010573,0.5077163856793525,0.6298728045814921,0.7052413879465907,0.7335828415570596,0.7404760574960995,0.806415855747155,0.8900743384344513,0.8282323863633577,0.7700434303149545,0.714580082254576,0.7283375898610559,1.1091666500239612,0.6199786800463637,0.5678849184634747,0.5388369193609923,0.6892464377727767,0.6908791082903321,0.5745417277461243,0.5416836039747626,0.5389419125998686,0.6045530637386228,0.5773918791204693,0.6044052909944573,0.6666652756113207,0.7217453491421251,0.828341331929207,0.8677471266951142,1.0822312121146627,1.5275482197181283,1.15702319409923,0.9534377565512197,0.8377902491935307,0.8456407469305202,0.7614536564855189,0.8131321054428001,0.6891327326876465,0.6511179209674101,0.5558123707047719,0.6339467323455583,0.8840712952935019,0.7244327573999737,1.2698920041208488,1.6600745293755834,2.0601965476288027,1.6995559745990922,1.6360801755763408,0.9114595015101941,0.9238206988612878,0.7138404455800507,0.721426412881255,0.8241357714704488,0.7319793303580981,1.0033311655646846,0.7670384937841305,1.0055377794980445,0.8750219429471524,0.822628253960967,0.8570753475242212,0.920173749826883,0.8768366296242465,0.8622223612195031,0.692616747126724,1.1022757722153573,2.080816148758742,1.3853831860080914,1.4877804226912676,1.3411323493048595,1.2089513171983397,1.1483220775476974,0.9396018261363678,1.047484884120261,1.0870744813009021,0.9723555809103991,1.0154963125421579,0.9427663473197042,0.9606483645954453,0.9717100856966556,0.8924841835028761,0.9934613825117526,1.0107743901503963,1.0169676486305348,1.1036385805143352,1.0702390542026843,1.241786115623882,1.1079424227026398,1.05844114105742,1.2445290010679335,1.563500399029044,1.1091308625224756,1.234997040985174,1.296137175781355,1.396584504227384,1.5973000966985207,1.3233409812936408,1.2093391003672083,1.285151081907111,1.5645379824364056,1.2928925883363076,1.6007492372712357,1.18572693504174,1.1877491765579735,1.2155347761310855,1.17030424560846,1.2804935654819976,1.1799797854125829,1.16994455552744,1.3591203800963036,1.6161307207476594,1.3435993440373037,1.3380859781749994,1.6505867407930985,1.440864558822023,1.4217463315718384,1.2021531325418384,0.9797962904491339,0.9981444024041454,1.0269441648310524,1.1409964654823084,1.3778773401030853,1.3016546331749057,1.2879875839305164,1.2582904382176612,1.419466807697416,1.2962610338056946,1.2570790761892494,1.615921796175813,1.7692239019344296,1.5153125196335775,1.6103071020313844,1.935568057875997,2.0696159927812836,1.6828270708678754,1.7176233590000973,1.4093678468593311,1.3485344033548403,1.2864217387511847,1.2100711275647928,1.239783789739278,1.1193567885980549,1.0998874387461524,1.1839130863199465,1.2178868497758684,1.205066923164891,1.3245008350104563,1.6520871943897169,1.486962055720655,1.4228785490443752,1.5851395104277168,1.7505856057351836,1.8516313698359494,1.883987446275306,2.1234119653946815,2.2395282900373097,2.0878294999884583,1.9179184484406553,1.545762633155667,1.3949880116432132,1.9602485426935898,1.9119305326315807,2.0580982422678473,2.0207382805314507,1.4445646814539592,1.1443741071304212,0.9076031157366479,0.703158708119706,0.8366465879182137,1.2335357041134003,1.0741473320716455,1.7923267989884204,1.7986608828297135,0.9649905408499477,1.3561924441465265,1.5158095320642577,1.0880751944484954,1.448723322313565,1.6526599246096896,2.274114927056237,3.4328321496381413,3.9044611873063144],[1.5332261363897353,1.461993105919377,1.3671768689900539,1.2875605625687543,1.2690880150459116,1.2896244009215876,1.1981329876223952,1.3327638138661642,1.188196288312074,1.0957294043240016,1.085306069470509,1.2268901049407908,1.1884888607795339,1.0135862673256293,1.0920747567410878,1.1516228397964834,1.0607443129173195,1.0579501465885979,0.9976251276498422,1.075062045971463,0.9844616702915551,1.0486774209149097,1.1345285621395285,1.0808808649417863,1.2567787155544623,1.0087921958399435,1.056212652522451,1.0697621411807887,1.1770160397010794,1.214088090895371,1.1087331303446113,1.2847476412466032,1.3126836528575296,1.276580086936612,1.2636023966941128,1.1820507277916208,1.32644664058895,1.273542893690515,1.2383335276279817,1.285191968101508,0.9092535635708466,1.200357423218921,1.2857235679828587,1.198831788375282,1.1076569357831179,1.4051602030472965,1.4460917815937326,1.256296932977446,2.062416214289552,2.7991149170356615,1.5517002959384836,1.8783602528466925,1.443625307865818,1.3086665784584457,1.748998027772355,1.4277306191402637,1.2129542099223278,1.351209644288422,1.3909731141675807,1.4609292574807233,1.2695408035991351,1.2531837457240724,1.3323176146312736,1.1830383265514168,1.143347683528013,1.157493825328633,1.0850245132837637,1.1006094087143512,1.0421998367828849,1.0290945147834605,1.128981629654657,1.1905435895355059,1.0838230757735303,1.1329098320131619,1.0968548695154445,1.0558884059718845,1.1981508732267754,1.1755716484823473,1.2017905443728447,1.2770503343350212,1.4314960274899788,1.4441861585645417,1.6390694709820381,1.4587575329826306,1.4391619314284958,1.3935782495461804,1.310104423093182,1.3390030588706532,1.1897861248383081,1.3363260846470222,1.1892206210590106,1.1156868944308969,1.1298012658232446,1.195224512747004,1.1693356169841913,1.1766253651472975,1.1105888862897895,1.2685683578557871,1.3085402916895432,1.510676367999289,1.3738861874847488,1.4814798980961226,1.466880945392871,1.598566202972167,1.5962557863346307,1.630492593941842,1.7694046697018113,1.550626307174334,1.552145128258067,1.4972485307484764,1.4642661251034919,1.363462527874346,1.2842198194346242,1.1878951950138164,1.0713966125143548,1.0184505771677672,1.0987389144527697,0.9383622304823293,0.9756550978307877,0.9275813459058778,0.887563847993789,0.911803582405914,0.8324596002993148,0.903158105996268,0.9884061726622105,1.0550376232346568,1.15752963000944,1.3111498051384918,1.4111659038756574,1.439026125282749,1.4823455601025546,1.5904628449186713,1.5024109629386841,1.486687728713252,1.3794521761294236,1.3116424629826693,1.376764802451752,1.092737831836162,1.0208799418677956,1.048472209108248,1.0538761642183299,1.0733098037836455,1.045137782229876,1.0689906838392722,1.108569764764232,1.1724695316412352,1.1561049877423857,1.1943048641592926,1.2863556280386348,1.3036247906740124,1.4333077688615459,1.4114884276781177,1.5893364042541285,1.859215980261906,1.5572018230463138,1.4678913511228138,1.3688359284772766,1.4434897039491612,1.3401242305623506,1.444725332478388,1.3269497530058898,1.2691815874730754,1.1549677831246206,1.2543778721010355,1.3231721336159123,1.0771660489588883,1.5043428449428367,1.7809469437064427,2.09046595265197,1.7565907319115546,1.7116058153223057,1.229498618708944,1.334323797761334,1.3696558268411765,1.394125725327679,1.485563652309349,1.3359275506584107,1.5910201069681558,1.4347599090900722,1.699457365635987,1.5302319531562096,1.5290654731307163,1.5697016031696973,1.6047161950341182,1.5375567004047677,1.532672443206065,1.3569235969747007,1.63637026309203,2.268898673028633,2.0371537264010553,1.7421607547190527,1.5096933413097418,1.5217863936895413,1.547221051171005,1.528751432602016,1.6150663907188867,1.6036783122073275,1.6227672167895866,1.640688226715501,1.6308023756179288,1.6330250856462858,1.6508710241503046,1.6028983157063414,1.6455970122798056,1.630563506347271,1.6353248300053467,1.7218727412856363,1.6472393808055514,1.7136578268540474,1.6371396442941655,1.5919727480827262,1.6390821555975696,1.9394504004943547,1.6205880786396956,1.533651943718772,1.7447885966686103,1.6282708344433812,1.9210028468416365,1.7265310530025866,1.547334786112007,1.5970516157770789,1.7894524284332267,1.5073451473454238,1.804331919196812,1.6162964825024562,1.6564483806370858,1.7387071274299806,1.722260699961033,1.7697823682332599,1.7458227829454254,1.7696399336543358,1.8488338184314619,2.048915734414852,1.8860289855277586,1.8931382980001654,2.05553767319189,1.8557464615586496,1.9253191022682536,1.7728248701922675,1.6674237348836476,1.6678930331101156,1.6387404708976554,1.6722649230060418,1.865973558289391,1.7401138293341811,1.7269023645513553,1.757491121497549,1.8818313618311178,1.8171403819432377,1.7657325008770155,1.9716384561754359,2.0830304953748144,1.8916911725715628,1.9465594089048737,2.1800660698069203,2.3115566658106395,1.970504285068158,1.9649091026668255,1.741589665600605,1.7138321901606912,1.7315735463112574,1.668940429846969,1.6428724720090375,1.6226776925881925,1.6348822723914274,1.6315971247550611,1.6598564892018999,1.7180787509360802,1.769894280647798,1.9613621956897735,1.8633248424461224,1.8345861055295678,1.9019060484780534,1.967415686386081,2.1333294276421535,2.199415383644012,2.3598303805348717,2.4374920473656587,2.361613513489804,2.2638561757907874,2.015768517504536,1.9553052902703596,2.3490853322937557,2.2765262201969865,2.3500248229473817,2.3015384157461964,1.9274692171949528,1.7222819604863875,1.5662725137018998,1.346270807123762,1.5239193035826661,1.8587181384444762,1.7350667531803716,2.1178530749875533,2.3593954547002323,1.6567972454116362,1.8618243135166794,1.9276042151187147,1.7015919977455587,2.1239514690159056,2.2344045875742076,2.785629609905404,3.9643271802906854,4.4789200232470945],[0.8893288034914079,0.9209727077431148,0.9126034583379269,1.0229767021505405,0.8931412586697968,0.8277771282309417,0.7664331260161678,0.8130913317154137,0.751722418930327,0.739051610443247,0.7326338855600089,0.8149892007840444,0.7775113473744989,0.7383258275282225,0.768971081820653,0.75826963631912,0.7454880187435303,0.7434562224882422,0.762736424999606,0.7651677806729846,0.7512153204124735,0.7743747932972875,0.942701232395766,0.9478852374772645,1.0541234212097386,0.8052579377744564,0.7792094383640693,0.7640194823003276,0.8170387011809938,0.7887104933725427,0.759722627402306,0.8135843850861275,0.8354532271812494,0.8101608549095727,0.7926670740349676,0.7606556201375052,0.8472739211581516,0.8538781892896145,0.8457201244806184,0.8888456606511743,0.7859329048271049,0.8529235787083589,0.9023468152476237,0.9250378867211119,1.0177774535486752,1.502994389056052,1.5438287496398315,1.193043411409709,2.084800973422234,2.7584272076855165,1.331304105507245,1.8661510935680474,1.103471876513789,0.9929382828319725,1.3294686976831762,1.0072877495802874,0.907247246361378,0.905007915207536,0.9409340212280538,1.2102545172664185,0.9581006781803681,0.9644327552624761,1.0080480833321408,0.8598553145622269,0.8444117482389906,0.8642093646703382,0.8493437130693376,0.79239748173292,0.860621509059222,0.8293572835663197,1.0182031792901407,1.107584397600924,0.9237088894064982,0.9685753109120094,0.8234518545049228,0.940379034634596,0.8138710293558765,0.7641555938204937,0.7666841812594929,0.8195236003642383,0.9231609682761182,0.9646150375292202,1.1318691392506743,0.9959665417652833,0.9861926317540158,0.8957548622348792,0.8732506878388363,0.8984202316517346,0.7665345534725907,0.8636304048332152,0.7768154254357167,0.8101445070385526,0.8048865288343805,0.8027515557034052,0.7932773157720043,0.8249105793766169,0.7969155484372042,0.8345715987797508,0.8388189233495211,0.9901775072897911,0.8616156669516545,0.9215734265345328,0.8717402587034034,0.9479527979113628,1.0329354584831787,1.0092151636561761,1.1431720826546314,0.9773242116593517,0.9750283052041943,0.9382971579864818,0.8936137026845015,0.8666578183109791,0.8031227782260149,0.8075256640402788,0.7447512184953623,0.7578373864720667,0.8190513296730944,0.7703419662869062,0.851387601862971,0.7095396309007856,0.7138473077952998,0.7173733847321794,0.7021743781282577,0.6928946091486773,0.7178299966419063,0.7641177633649784,0.8374810305799268,0.9027822056779059,0.9310584942803337,0.9150037971294454,1.0071852832757182,1.0483817606979267,1.0489022114851017,0.9346523776247454,0.9519929976197724,0.9387617147374115,1.2598337408684472,0.8488540324536165,0.8332343305878285,0.8147743312762981,0.9246971293726673,0.9407944595781319,0.8211265962336983,0.7972446196531519,0.784755552201901,0.8121235720629485,0.8059900020002226,0.7825935076998606,0.8046369273017355,0.8151193269106957,0.8705811447297169,0.8452423243033174,0.9761064977573765,1.3485588992610413,1.0223407612551294,0.879430766559724,0.834876925968687,0.8596300746774765,0.8187511895259614,0.9000938466885035,0.8552389523993145,0.8258364487645055,0.8032976946996473,0.8462692523929739,1.1015535998496788,0.9541809175206265,1.4436742879205713,1.8185160204093451,2.176631476974122,1.7623257658044813,1.7121487742200328,1.0615662038264713,1.0811626918318995,0.9005301062307552,0.8959680910114521,0.9375053421020386,0.8210871145330486,1.054620997472519,0.9154266300040922,1.094090595393066,1.0264582300696372,0.9630338680444558,1.005119627652103,1.0942059458209263,1.0929690650415387,1.0729020634798994,0.9493598236765617,1.3597704525835304,2.124596982999151,1.6251416920673527,1.642655387838672,1.4584062052180982,1.3781699543017898,1.3264356237184338,1.1765018535400622,1.2629338179064051,1.2695166264472593,1.1423303013494297,1.1535192626640378,1.046332284655467,1.0080225114214083,0.9949675926315217,0.9592445812914978,1.0357080490599202,1.0100231600104057,1.0546253153192435,1.076180507986343,1.0588749110263542,1.2746372658152192,1.2452251591262427,1.121526693930355,1.389452723788338,1.7903249285796041,1.3708866791091934,1.4509598004290778,1.1816457900405324,1.412741644602781,1.4802338356441593,1.2287563114500792,1.116668553617863,1.207364474629095,1.36776836030869,1.2601591157239873,1.528661092695056,1.1506861230378966,1.1396745114983173,1.144758265926323,1.1515577540863862,1.2496218905850867,1.2013693257343052,1.2322071040796458,1.4269797769435684,1.6834160223177879,1.4419426687248194,1.4273440139258944,1.7470002656236463,1.5159365355302397,1.5343495106108114,1.2948660445596394,1.082806814736478,1.0612344354468264,1.0435410331569215,1.1475400133428573,1.3439559368695682,1.290927408464465,1.3426575372027587,1.1876227938362882,1.2795598276962274,1.2216124454645052,1.2043155419976594,1.5432722952713487,1.6922283385144115,1.5208149292203628,1.5925536904317055,1.8986926374440634,2.104521557408613,1.7551867621058033,1.7408047072751538,1.3969417173606948,1.3056380990785783,1.2335353474354969,1.1375841306854937,1.1582195576180152,1.08663698610828,1.08449519717228,1.1294376868206737,1.1596229976496857,1.214018097302039,1.3327377792104875,1.6468728644544737,1.4954907896031342,1.462901351537806,1.6156186937248822,1.7927403528661292,1.8972637276516806,1.9446996442993534,2.1651107014974618,2.293707446717184,2.033120343466475,1.9441667000603442,1.5025802765016154,1.3299981396622562,1.9849111858943085,1.9570077768837857,2.1499964903650373,2.0585952455950256,1.4964063090554263,1.185360656222432,1.0402335528494275,0.9150342586621296,0.9793489682428803,1.1054150869188415,0.9587679134848742,1.4502858503958864,1.6045768630023323,0.8914354016889341,1.0262048225963116,1.3176571110476176,1.0192545519608882,1.403771715945043,1.6786327538122754,2.04148425825642,3.3401447940435967,4.033524138257611],[0.4174574565110426,0.574543144286686,0.6990706423805085,1.048099187605955,0.8649817421796445,0.7565585094805107,0.744654390993909,0.7125425876827093,0.724460263835243,0.792537510209796,0.7646818004504883,0.763037512627086,0.7967484473264935,0.8273102563841375,0.8163592429234585,0.7862588360629473,0.8241882266563384,0.8458472657420366,0.9177443013544587,0.8730203098175054,0.8683405122597821,0.8743628994313294,1.0615085652495864,1.0504796043412585,1.1760800622204557,0.9505443364697109,0.8961884785383072,0.8845597159194689,0.8881373603667505,0.8000395347909731,0.7863441301792657,0.7690305297329202,0.7723521833984979,0.7739329278558096,0.7640022162974298,0.7823472165441274,0.8130537917233235,0.8916032541553036,0.8851640103289031,0.8704111884017753,0.7304291338052826,0.9544469039185218,0.9834680444408316,0.9893128759694184,1.0135645653288454,1.3821364442472557,1.4049249230157985,1.1449576391854466,2.0202462913848263,2.6999762416588613,1.3238618732643654,1.7886085536487442,1.0865908545685286,0.977846333432942,1.2964386620555917,1.0124104080753507,0.9205255931261362,0.9295938334630488,0.9570058942477834,1.2417955200177704,1.0051351540439932,1.0121629634858564,1.0525239707287135,0.9729685419043445,0.9418508761041573,0.9268737974195143,0.9604455469281865,0.9013606998608834,0.9930402103707291,0.9368422068031309,1.1304079343049407,1.2114297923188113,1.015156022047075,1.0735036087189531,0.908183310168312,0.9478784597708778,0.8793120362792117,0.7823661146185126,0.7749655402059831,0.8324201319257721,0.8973205172479121,0.920773110059107,1.0597201155727174,0.9127575391393926,0.9601979129322433,0.8594816088081648,0.8753978243578875,0.8442883108564772,0.7911660143190294,0.855678345045513,0.8044818515495575,0.8277820858845916,0.8168118302084476,0.7898375267344362,0.7929830230217796,0.8194426513798259,0.8144581415801084,0.77792908766887,0.7570981397565075,0.8500862332173442,0.7534160684610712,0.7670590672909462,0.7398138093169754,0.778611246399583,0.8922236714089953,0.8282774375246069,0.9429758574583728,0.7755910978395858,0.7738564650804111,0.7471740821076408,0.7143385188698725,0.7595457663832756,0.752711740732167,0.8320041650385039,0.826158155560799,0.8991547274266259,0.985883382835537,0.9608556271950021,1.0196343830080026,0.8645938100197947,0.9063339889039694,0.8897408848379549,0.9021412103214457,0.8631456489844062,0.8307227108527164,0.8167905067837539,0.738457420811611,0.8362904715226985,0.7986104832219101,0.7591023797018689,0.8638403320296234,0.8539751923044864,0.9029447441824444,0.7727451277578157,0.8574237594123866,0.8794481475237145,1.1623545166910412,0.8778183914200153,0.9432394425366607,0.906734652451767,1.0938084133650938,1.081308928816302,0.9876903088470389,0.9339081343741714,0.8837820278355152,0.8802022130294268,0.8812409422526984,0.7913486938166704,0.759751384637683,0.7610830190784842,0.7327952949005698,0.697611467343808,0.7886170230673042,1.194735349779376,0.8735093026487316,0.7161439020391125,0.7196218230622639,0.7132324108451981,0.7307256783509748,0.7853532809612572,0.8206793302909459,0.8163026399283229,0.8471569880262828,0.8629603089715371,1.0508497530643086,0.9247564381794563,1.3306106903738568,1.685624798941062,2.023656022117257,1.699537144710306,1.6287682812627795,1.0301132972485976,1.0308924185783517,0.8540452379679535,0.8242738302087024,0.8175705828158554,0.7359775621319185,0.9267597247242687,0.8128856737237289,0.974971583239841,0.9764922898874293,0.845426459789885,0.9001429479412396,0.996644496192666,1.0199466002509427,1.0465099453595645,0.9589655786977362,1.3158942927543607,2.1849356071552335,1.642355330473116,1.613186357074819,1.4091456728860516,1.318020218542291,1.2593098553615514,1.054365375925413,1.1193882909628727,1.1688972186877875,0.9549961105635503,0.9550017807795457,0.808639819706996,0.7055877410432563,0.7176836757271798,0.6877696523292532,0.7554842767825095,0.7341623911917184,0.8712597689976269,0.865349402494832,0.7788501934721509,1.2050370052864674,1.1783962769700862,0.9549270592317283,1.3375473929487802,1.8621782482459133,1.3675946332384787,1.3650509318657873,0.9429790269139319,1.294923004630631,1.2089217600469417,0.9628622426855707,0.9073985569257075,0.9373754931130621,1.194690327632249,1.0678569862725058,1.529319917127418,0.93402582476019,0.9014661395883946,0.908445112292748,0.8124886773985289,0.9075851451101182,0.8517328700841871,0.892864074819241,1.1145221579935323,1.4007638142978756,1.1650119154767966,1.1923470177380406,1.5294819917618407,1.3649251244197078,1.4152685611793332,1.0855808290156657,0.8100961431167574,0.7626921066860569,0.7822765108459838,1.0066322882976568,1.2037114593063123,1.2310710411487036,1.2409643585114625,1.045260149796021,1.1902003023839451,1.1018798121313766,1.1129986555495772,1.5756761612243029,1.7691950849648206,1.572814708054733,1.6159863890313568,1.999571983032896,2.2382442144523003,1.8193104719458963,1.7825511014870568,1.3637045309625901,1.2533886560966077,1.1380866151677038,0.9618532060571113,0.9644451350579453,0.8540140352964662,0.7888633879765586,0.8370236948737366,0.8736753617568727,0.9195886862383023,1.01796424809072,1.3838027834937197,1.2847429702458513,1.2765624420394135,1.395645086746593,1.5818332242535704,1.7125462141615995,1.7701575107427145,1.9338215438578568,2.1052750563786136,1.780996514348881,1.798245452047009,1.3362937125050858,1.1485967429185835,2.0583605835208725,2.0229789845625903,2.171295127304739,2.1482814430010224,1.3973284961401728,1.1342628278523028,0.8579427601640676,0.7698026643055578,0.8116036886409056,0.858051279355861,0.6244022553142907,1.352656880791795,1.355232581222601,0.7387001420811329,0.656931225033221,1.1317080597103726,0.6830907395679995,0.8251127413433045,1.2446883536391957,1.4194390650576214,2.615323721051097,3.234456022679177],[0.3450866181895389,0.5363052768857071,0.6345113140971205,0.5034299242266231,0.6186849227612895,0.5048422345985799,0.4701074791305705,0.5298148189424291,0.43176447101371096,0.4039722016914823,0.4175440591280577,0.5046157162081886,0.4499200776495152,0.41928735887490015,0.49117949250772497,0.45560015308676666,0.49733160319722425,0.4564408734225437,0.4733588259474232,0.45692928824164797,0.49559286554501397,0.5147913980158535,0.7238394492936507,0.7996327725404583,0.8149039592302582,0.5741424962016927,0.5096205343487983,0.4466610950913712,0.4606482063488365,0.4783772747580522,0.5022464505663996,0.5087645767142964,0.5175031380123195,0.4931267656317655,0.48548310929841143,0.45470366631107656,0.5017273769487722,0.4580028854120491,0.46898306302245857,0.5258706629424214,0.7897826634894065,0.5535381487579799,0.5178213521330635,0.6788069524982674,0.8723060370963305,1.46627156507021,1.4394722709348158,1.1017984929221933,2.1009946171520055,2.636797273152888,1.126246452687528,1.9589329972301899,0.8550927596558028,0.7693765135798725,0.9166953345792466,0.6459645153165492,0.6986911616831633,0.5250624005676955,0.5788356100162988,1.0211340003497695,0.6597625328575097,0.7249781887435981,0.7668512689797544,0.6369743586304737,0.5681706377077956,0.6038969139677062,0.6663167870002191,0.5041130269245231,0.6556154210209025,0.6445198965102888,0.8573956705089347,1.010603345521112,0.7826861029204397,0.8000210518117093,0.6151971881887639,1.0496733221216548,0.49713889811555745,0.5016807361012345,0.4880688050132698,0.4944004897196115,0.5571392896718275,0.562848519137024,0.780799263383831,0.7164782499322282,0.7001964738163127,0.5211627971254821,0.4900003042853107,0.5861164428241981,0.4611385866039026,0.5567587121298787,0.5014611822738204,0.7032027486129752,0.6153117263822138,0.5423200526485813,0.5273338334016279,0.5933942124866902,0.5823575544782378,0.5380621045011074,0.5367500327484309,0.7208010125081522,0.6014094985282229,0.6992678924102468,0.5695933738705987,0.6338973635437055,0.8321068860123576,0.6038903458140233,0.8387530841611548,0.7574125939234546,0.7606422555878714,0.8143872942640787,0.6622483731737314,0.5825937858393267,0.4966301366796071,0.5123105586829496,0.45102478845495353,0.4346398738909464,0.4957431871563817,0.4553997803831177,0.5522488041456537,0.4738102451690864,0.4398267620216307,0.4395808241278131,0.44921942612679455,0.4085103461023475,0.4248054804169929,0.5137604603632543,0.7427424779115124,0.668697425450194,0.651429253893062,0.6793440019584336,0.673549694152103,0.6808739700612942,0.7183313451181321,0.643764424990537,0.6570649434421183,0.7745246713940366,1.299417497134469,0.7042334816456184,0.6038621480723083,0.5942273306300833,0.6988331876162127,0.719466087709872,0.5181035275010238,0.4833783681531948,0.4644216154851771,0.46848933136872156,0.4550957999405782,0.4779415779401953,0.5105237461175978,0.5364720743096398,0.6211084215617476,0.565633906601214,0.7203689207699708,1.1545447715524113,0.786031024426604,0.5950496723866732,0.5453259268946734,0.5898226662899313,0.5196752076668091,0.6072266868460998,0.5423966415473894,0.49889917944562456,0.5148807288984261,0.5649608136176076,0.9671156939925534,0.8969599866892732,1.4452180511794332,1.8209608733887384,2.2566392367300048,1.8670824025638126,1.8512431608407625,1.0696861329891871,1.045391185574938,0.5688879373265233,0.557685437316919,0.5855847102000027,0.5689531568890046,0.7398885075492714,0.5993997329172484,0.6120500073720914,0.6971579722150322,0.5582627315300983,0.6203853600752722,0.7149176323391271,0.7221321016388074,0.6466918362668068,0.5456541974413239,1.0842985549735829,2.157301658991423,1.1087881212057273,1.661641910669698,1.6559898723200903,1.4195586120609234,1.280249573377389,0.9281839364974386,0.9839480385247152,1.0218080344003642,0.7809047598425345,0.8070834402815995,0.6916978796411065,0.70918209706725,0.7957252736581875,0.6957899702977325,0.743826071551133,0.843678408517777,0.9999539606871809,0.8119969067687003,0.8851034680884765,1.2883137472864965,1.2892791928397234,1.0772630450569785,1.370532188318571,1.8288306021383542,1.360128647274721,1.3747695070000974,1.0471083489600939,1.3293379124852458,1.290409616185935,1.0557715750394046,1.0089832646089931,1.0598133208146965,1.2722287775682026,1.1868817661119608,1.5749846427355774,1.042038818109585,0.99578868208744,0.9863113148818925,0.8875079716772416,0.9768344743146552,0.9016124209024088,0.9296862780836488,1.1598790011797073,1.4218476002225948,1.127721285708666,1.1002272190151159,1.5055719695544236,1.315120116928135,1.2372536876951354,0.9787705717761161,0.7252462559115357,0.7842956160336642,0.9006581754138602,1.1605031612267602,1.2870462366011373,1.3793740021828633,1.4060166542662957,1.1342695923631807,1.279949264818494,1.2002428000714174,1.2174556230655358,1.638974036429031,1.829401671900677,1.6341300898932996,1.6392097472869815,1.9943143681688384,2.2157560883831415,1.7942463800137758,1.7566709210386544,1.3877817041968459,1.3015247056906862,1.2227584627595431,1.0472980142974382,1.0381120165053754,0.9623173856918598,0.9006686418871306,0.9440624007079382,0.9721969078988307,0.963831783573305,1.076278486417529,1.462637974404824,1.2961610128081509,1.2666005984046662,1.4609111611269072,1.673594260395535,1.7108508755007727,1.7110446339485388,1.9560669107271447,2.0787491952406394,1.7893539838542367,1.6509336147327818,1.2175544680880925,1.012975919047134,1.6441241909712925,1.6690136992061995,1.9164760297963281,1.8969822255247584,1.1929058366830072,0.8530464106895675,0.6853960584942794,0.709984659255153,0.9528327386476235,0.6764759600160752,0.6211378640072085,1.401650229910392,1.1172840238329904,0.8388634249130487,0.607917965455096,1.0295877997397682,0.4491503675283412,0.6750411312870477,1.1533070374026875,1.4377086183287995,2.625706781265691,3.1995311827705977],[0.2873937508895179,0.38405147948710927,0.4027972041650349,0.4059915020090834,0.4935360348943158,0.45732387158256704,0.42505885323300485,0.5673072951617735,0.4822838074231324,0.43351049070180014,0.47374676453394743,0.5584672293885832,0.48487372741686047,0.43423945990834945,0.5369147759073541,0.511253857600699,0.5171219851737553,0.500147036418884,0.4650343487191168,0.48796675580111226,0.5099760425112583,0.5053078563528005,0.6925310732563155,0.7739562618511041,0.7723468650097154,0.5360371632388865,0.4578127762513019,0.422104109675968,0.48402450219768534,0.5321594106014503,0.5194141455304697,0.5857067135134513,0.5990886978944524,0.571674087238178,0.5538397008108241,0.5038480036253846,0.5454492047810988,0.46870238917189094,0.4133571628013714,0.3941727926797243,0.6411107950736039,0.502544943160372,0.4618968816664675,0.604087552174972,0.7972984940581567,1.409571667480514,1.3378603357107188,1.0656933847839227,2.1365485604829217,2.587969457080728,1.0359370655575453,1.8910754322519931,0.6972788249955663,0.6188866371196491,0.92544936430629,0.546940128864096,0.5944316790151694,0.510198407747352,0.5483492613424302,0.9549154473615603,0.6440218554820176,0.7678013223185496,0.8536226053674976,0.6939791626903954,0.5894875913605153,0.6573251599774709,0.728264852300615,0.5698953953118737,0.6841493081056619,0.6812182486536587,0.8754262347369018,1.024453063179662,0.8130985392592008,0.8175636593565283,0.6772525242406144,1.0717979162198752,0.5903625934664642,0.564198314402499,0.5391739199858645,0.5297010449451395,0.590434048725962,0.5675762492904228,0.8052782595211668,0.6620794096337573,0.7047085686430338,0.534470636315317,0.4933519867984093,0.6006543228470632,0.5133847460350022,0.63253756531698,0.575296235935189,0.7193108098139837,0.6473231186102709,0.6039212931896282,0.5799434706477851,0.6418105280981197,0.6150371251065753,0.6180928768485819,0.622097676429008,0.8010423140432388,0.66272765395237,0.7171689806291827,0.5944078186340322,0.6672959339471286,0.7729607167019888,0.6035346450258792,0.8077005056618464,0.6034304206639879,0.6250735672119494,0.7261653192335366,0.5570402846027322,0.47981777058068964,0.4466804049869194,0.45694296859754974,0.4154065395754144,0.3764563126910074,0.44850956326094504,0.38439530087753354,0.5080386582122545,0.49399117230477474,0.45269363672213886,0.4363885103434348,0.4172073370212379,0.3697018626015702,0.3895969233608605,0.4185065905370526,0.5572342957296195,0.5689547885784124,0.5463924996307229,0.6068367637471546,0.47554222101015103,0.5156522666523925,0.5034296950500516,0.5763133067561351,0.49157455493407315,0.6862574627307149,1.166269220606001,0.553692497662041,0.4835190678935541,0.4775590752244945,0.5963179657145792,0.5946653249665839,0.4471029899811962,0.38968564647550097,0.3720014689668486,0.41155194344686424,0.39058560263713166,0.4628284915245571,0.4813368456141429,0.5317373477445251,0.6447793169065398,0.6436783983052516,0.8012046055689969,1.2649258812889954,0.8703762846361678,0.6813582617558547,0.6252906594841544,0.6168628996178855,0.5462150437394682,0.5888189534576128,0.48586888728975913,0.46966956277456207,0.41844172122888346,0.5070344772048838,0.8418842961968782,0.7241497365123433,1.2748470314550686,1.6253598731358307,2.06733303844855,1.7559110946138647,1.7374795415438047,0.997209939440636,0.9869959292579249,0.5048132104456484,0.5041102916401887,0.5870042958720173,0.5733724610049056,0.7771357481230923,0.5714088840365497,0.6448961284086173,0.6552859391948838,0.5044313596600456,0.5037154088699619,0.5769770097396395,0.5598010437583065,0.5624067794291996,0.4649566752424864,0.9872875927312947,2.2274161364730665,1.218742785897193,1.490551847823264,1.506487724317919,1.1651345059760456,1.0214500788329495,0.6806352600461528,0.7378770088607384,0.8415066193386809,0.5817345430207199,0.6339581326284478,0.5171317826323287,0.5250702167666067,0.6475957805150437,0.5224742885362239,0.5756202926488646,0.6817750228829876,0.8379194927848422,0.7199534958196089,0.715496956435618,1.1119621059695646,1.032722146834092,0.8337822617456281,1.095549162210435,1.531733806893855,1.0260555239751994,1.081460906135586,0.9683533010741284,1.1427750914835617,1.2480741726518814,0.9571038639657871,0.8617853974924713,0.9076791121096753,1.2459330410165574,1.02663098165429,1.5317417947317968,0.8800785900498378,0.8792796299206685,0.9217074143653274,0.7725486112613197,0.8193387309890802,0.7204849082031614,0.7435685269681461,0.9408367606211047,1.2307976316953118,0.9404827231950385,0.9690778913665906,1.2961753084879275,1.1391777380093955,1.1050769572327888,0.8153887947802428,0.5443891403938351,0.6056187970289092,0.7694594159080413,1.0979747493640057,1.2534760862695924,1.383964547414142,1.3088582125315351,1.0766370807360022,1.2817627972532755,1.1744957630717654,1.144832292655409,1.5816696098344454,1.790884316607444,1.5207234195277703,1.5126934397047391,1.8813824141669022,2.052095824290283,1.5891933595114707,1.5731380395021588,1.2107527283252368,1.1470164759851669,1.1052007706920075,0.9284026390617964,0.8778972113513481,0.7828526158833317,0.720473612476256,0.7617287515542037,0.8083999310377816,0.7956117314380172,0.8869500146651905,1.3038539091717476,1.1735781312414297,1.1159083586045788,1.2757682314179382,1.5211614402124876,1.5833544410271867,1.5916587540941014,1.7967378938961631,1.9570647099719747,1.7198798180605257,1.6209812972957625,1.2070663853379355,0.9841789157648387,1.7003106196881466,1.6795333286623486,1.8634890597912543,1.8854548862777494,1.1379910873508392,0.8037298382171267,0.5172103960801011,0.5564603153155071,0.7852560336634848,0.7508011943993138,0.6243640292710684,1.62382729604672,1.1796875328870091,0.6766735896838648,0.6626238355127103,1.1307292338506398,0.4728120464086519,0.7238753082192013,0.9955435689469607,1.4653650232285191,2.507632128767957,2.815878177360837],[0.2931405926617132,0.3803336219381345,0.41541616592682074,0.48723943902650185,0.5578191272376204,0.42368974671826715,0.42967972029574747,0.5078552476489642,0.39250345430254563,0.3929883240703474,0.396602333031662,0.4766136109513041,0.4333982513503421,0.42474290727905945,0.5124289608267909,0.47011042070096015,0.5371943946697324,0.5337556537754844,0.5418582372154936,0.5541913473588056,0.6545092485001864,0.6446517443561219,0.7884357413623863,0.9740888554581832,0.7886631735603289,0.6705133431619923,0.5996677860765591,0.5229952912118033,0.4806342202824019,0.518779614494609,0.5313500948001115,0.5224838473655506,0.5410643907687613,0.5173658644285334,0.5158084184944235,0.5024269378185199,0.5130648217590652,0.4697724826506637,0.4646415429623732,0.46441787946835883,0.8667281426591746,0.5669565977143101,0.5057433693840986,0.7137646152626718,0.9755340189757737,1.5917787811521997,1.4891068398639216,1.1881227006000645,2.2319985853381374,2.5386703987410955,1.0190502216488488,1.97584126074393,0.7525094422804788,0.6915327382819721,0.8768517354633185,0.55920106379438,0.6934650411187943,0.4966578595515335,0.5551053590702675,0.9474360439532924,0.6754161941881817,0.7889647293315957,0.8529510761198943,0.753584774050406,0.6572372773997763,0.7202353329905162,0.7837044259725824,0.5753683692899882,0.7432044711613024,0.6975998859218756,0.877798018077121,1.0692800945764773,0.83741230193815,0.8639321927840127,0.6758241193584033,1.2674809365306108,0.5690799454981891,0.5634564748786733,0.5463241898695768,0.5231275493928612,0.5561164269696748,0.5569113142837608,0.7330889218431944,0.6552507849853777,0.7104543927181869,0.5230369952540858,0.4992235115073787,0.6003169477036245,0.5162878374348424,0.5891695011897137,0.5498842542464888,0.7579041120581651,0.6560740141861502,0.5699483591808026,0.5434033667639728,0.6090845427706642,0.5874546391486509,0.5499788895239629,0.5328271408208239,0.7214201939458016,0.5667516076047583,0.6428340030648083,0.519976011162787,0.6138053166740476,0.7220305333621004,0.554009461506943,0.7740766189900554,0.6232255758724284,0.648190436505949,0.7435559358584848,0.5610025564523479,0.5155467121960763,0.4703711805295846,0.531070257455866,0.48582867386635176,0.5240500409944868,0.5255837457125226,0.5356212689295727,0.634296708646996,0.6179974630491943,0.5749859565912442,0.5525465708111678,0.575410755582173,0.5233735313957391,0.5099847100356613,0.5855198351683393,0.6312600121492395,0.6285652414899618,0.5926290968353564,0.6643386573751501,0.5470378747464848,0.5403804791168852,0.5865383462542737,0.6269413132216757,0.6161788282663886,0.8016944055288512,1.2958513503603861,0.7235529574373901,0.6741586500706487,0.7139528957370321,0.7676396966533169,0.7450724029328334,0.5667922764973837,0.535662279476131,0.5111494653330164,0.4737019082074795,0.47724775267071007,0.507816561585135,0.49740764594444264,0.5169208395861308,0.5865222490510652,0.5585261371151402,0.7956083718381416,1.3731432396839878,0.870181611828034,0.6141665534990843,0.5505084341907348,0.5465357748531383,0.49858136246935203,0.5716879720261512,0.5256077479881536,0.5095320214750847,0.5649995718072806,0.5737056986130503,0.8907289592048624,0.9440335689202575,1.3768514221622907,1.7401012877104243,2.1980518436761427,1.9191560557854042,1.879312993279303,1.1390313500268237,1.0611828853086447,0.5546450764899444,0.5374452020446455,0.5524665618487595,0.5762943123587874,0.7476219663796615,0.5890954602721199,0.5567844991670694,0.6511099325642278,0.5044189074865899,0.52924556999579,0.6018823417026637,0.6148038897312342,0.5907998193418412,0.5326165616991769,1.0047738746828339,2.37102876134211,1.1366106891683634,1.7032130921624196,1.8093322070746654,1.3678704449801247,1.161820933787584,0.7825089295570777,0.8034947791913176,0.8972490370694367,0.617996853512106,0.6470749755674626,0.5250558749613271,0.5305261055749049,0.6195690947764503,0.5105356368038223,0.5810393572774284,0.6641556003819188,0.7744106054952383,0.7210999213748862,0.721417503932249,1.035372057252892,0.9311999746228183,0.8046834341079515,1.031692404842038,1.3668552411873516,0.9049034844533428,1.0594590950793414,0.9921537001752871,1.1771007874319221,1.2807137116718121,0.9938987519739926,0.9103356201479539,0.9687879705326368,1.3125980485176705,1.0672528312649519,1.5116610620342457,0.8882977188503518,0.8859516617523273,0.9192357052988304,0.7848983877212713,0.8611902700663548,0.745578135117382,0.749775699863495,0.9649161860935195,1.254844986884744,0.9510874307074224,0.9687346619268964,1.314872656706355,1.1453672254902092,1.101989018958103,0.8158843785743376,0.552982442971514,0.6073733711765619,0.7514181330043502,1.072867974294079,1.2131493164381972,1.3497726817104754,1.2837635852460563,1.024243924796303,1.2379869844377072,1.1186714384989225,1.0704101964499593,1.4967807778090465,1.688348077482991,1.402241691939052,1.4274170854659884,1.794815215107409,1.916631605005295,1.4906872852902409,1.5193052572372703,1.1724406935735914,1.1112807094515211,1.0633223793091668,0.9116414192560247,0.8924550334738591,0.7811509068113125,0.7282513131175838,0.7989589576284435,0.8459678347553724,0.8213234368225756,0.9283179624415903,1.3450368188304476,1.1781065272214064,1.122786421055464,1.3040606312841434,1.5470739274293723,1.582945306336563,1.5625049057172493,1.8122809256602297,1.9408277902890962,1.7477927208893893,1.5451410177224862,1.1710766448821734,0.96984461028916,1.532611349322081,1.5385152555345138,1.7482208364780836,1.7778700692032385,1.0898384212989038,0.7563143570010705,0.5416971444381713,0.6447904392188061,0.7781462994664503,0.7771684624109082,0.6174045896744788,1.7577821516970435,1.2289737187620111,0.5407346736682151,0.8555700348808342,1.1777062585380809,0.4386747922278755,0.7015864004454736,0.9349190982306615,1.869806680078965,2.960533825592459,3.2822732308287184],[0.3065901995107696,0.3632833870485376,0.4630210381182941,0.4632000084238719,0.5002465121199122,0.3826105422836402,0.30899651817179685,0.4224719700351285,0.33869256552041327,0.3229586454729557,0.36196916728771306,0.44392530938930663,0.3806598185029863,0.34982170691725045,0.4441768077448491,0.39592523040043454,0.4319925915209668,0.4403355976012947,0.4773775606208629,0.4434347117258079,0.5090666414002849,0.5008818751976124,0.6863767417892057,0.8671151216112358,0.7167712823266204,0.5734826964740298,0.5059331457795955,0.4267189731559715,0.4148585893919529,0.4336822330150797,0.4594719885019119,0.4636141775679235,0.5013869934171648,0.48295268768915867,0.44208080245945686,0.4211531762143857,0.4546025477777492,0.44209427065187734,0.43559669613507906,0.4477348091185825,0.6415590351056898,0.553070819580555,0.5462139396642968,0.6593955575903054,0.8839163686760135,1.3290643755471625,1.262450520473856,0.9863632533540727,1.9457149592594412,2.2685954224321736,1.0045902706659104,1.6738996965871977,0.7520859022118876,0.6968040669470456,0.9774419484584275,0.5682232058120217,0.6024826594831802,0.557306633610283,0.5819525116855098,0.9604944188943544,0.6210628635696169,0.6773425037454308,0.7517089428475341,0.7280640285429422,0.5830117840358299,0.598113972518204,0.6563938829440942,0.4970437555764053,0.681042062457475,0.6259240460341333,0.8166090585739233,1.0254033288263227,0.7946783346811371,0.8430079486812497,0.6209023351566457,1.1524274552611147,0.5136059999712332,0.4992159844346287,0.44971594658170944,0.4611303431959708,0.5264800483219092,0.5428794272604852,0.7511272767032765,0.5679881978884338,0.6474599731635092,0.4780804434141373,0.4698217544084088,0.5099860393213563,0.4188481039965279,0.5643307397096843,0.5006574966880422,0.702872928262065,0.6087845403607335,0.524396694675901,0.4950416650207471,0.5941329650753403,0.5480063789570525,0.5020948884304349,0.48203083065222774,0.6987911137196912,0.4932123115754059,0.5671929814495738,0.43936185801967303,0.5692406941066306,0.6419202158932631,0.5572123341064984,0.73986154174297,0.5401851249361052,0.565491894229293,0.620666342446253,0.4574055858134022,0.3746594252166069,0.3263103270545182,0.3905799645232807,0.36701214090383255,0.4286481088832237,0.4807837128228393,0.47340306875801214,0.6324908254191264,0.5098672701417556,0.4975266901899637,0.4660517066299992,0.4288794388547049,0.3636641626119813,0.37513322918428815,0.39467616945079675,0.43012271444599426,0.4834558884548346,0.45564579871488037,0.5076767161307786,0.5507447104883563,0.5507235064540211,0.5812008049751888,0.51143857615212,0.5283424363232451,0.613057038185892,0.9632908425194621,0.5899899404587988,0.5915707682433426,0.5291404872044404,0.7496349070826896,0.7544277372456322,0.5579574524396865,0.48735731985914116,0.44839338368547554,0.41923897564487866,0.3955315629099139,0.38258059078663736,0.3817223282256893,0.4340516174102051,0.49916524006287144,0.5343360159285674,0.8064809333727,1.4761645362956952,0.9275530165760467,0.5958568297517132,0.48474775792954683,0.4706899300440201,0.4135209885798023,0.4889573977234497,0.43769607976233516,0.40036220704327635,0.41181523210326426,0.4234503555323485,0.569303651108946,0.6553046648191001,0.998798902742275,1.3976540641404758,1.8148931268700905,1.5871433680619889,1.5205988314908343,0.841663682156889,0.766942581295201,0.49528263069159384,0.43514081339291255,0.4870963637242206,0.46617372361510306,0.7031514097554251,0.47275199054131406,0.590312491715795,0.5646232796569229,0.5075996114100012,0.5760154095326263,0.6605297965120785,0.6730823044965262,0.6269554556182709,0.4790851561177707,0.8905751800247668,2.271183684516139,1.1257039967689826,1.7604587726453367,1.7745050548005543,1.3750676829316937,1.1845403843275577,0.8341858924774267,0.9107735314414651,0.9724229854998253,0.740053464555168,0.8022426534802191,0.606484781063874,0.5720937092572296,0.532627500588691,0.47163124374579357,0.6512673470792285,0.6169954865962344,0.674802801658457,0.8056367231341035,0.7290912128970354,0.9454856714119044,0.8534821767401188,0.7773737331775873,0.9768907766763321,1.2862765312623736,0.8825342730601005,1.0532762403959175,1.018383269810792,1.1740910414912595,1.3435888801149969,1.042970182128023,0.9236413309717266,1.0051767567888394,1.3370738415206604,1.0666867669583189,1.4536688879344832,0.8652225786743811,0.848082329450423,0.8616902854329564,0.7847905695439138,0.9080185719773164,0.8044711756108108,0.7983426376091012,1.0846449772867248,1.362870028845241,1.0787147669579569,1.1369080519717245,1.4975097110229831,1.3643461400654924,1.3269934658647693,0.9909131760269441,0.6176293726173215,0.6179524018724427,0.6685481890020959,0.9445418428841437,1.0855874019909104,1.2376421243037314,1.1298746572399971,0.9158167389988321,1.1440506204818064,1.0155244222165636,0.9545559642817647,1.4024285330487085,1.6030359374922853,1.3020286984328775,1.3458718259510072,1.7358550074692158,1.848366403003628,1.427112479853554,1.4662550689043343,1.1121735932273868,1.0373641332945842,0.9690552664472074,0.8418104786481708,0.8524520173431542,0.7464921930372171,0.7127640007603202,0.8364709008839701,0.8970606023382982,0.9086236967915705,1.0309886909959338,1.466932569570928,1.3091803087298493,1.2803487045528537,1.4582997181880024,1.665179520601661,1.7134951384799042,1.670848437482305,1.91881758197182,2.0541613724707206,1.8317405350844724,1.6166662791129167,1.2701319340168467,1.0326440783999475,1.5857278059883304,1.6518745777712351,1.8957122793082584,1.980641938451332,1.2702622767528526,0.9352456646933197,0.6416591546024065,0.5085285650525857,0.6665339652757276,0.961833852308786,0.7050533334830148,1.902245070752839,1.2846909451716673,0.5131868936469229,0.9641461779365511,1.2749873882578195,0.5232653262008827,0.7037562665354996,0.8960670174681254,1.9919747950564437,3.0746174120015177,3.3022727221123094],[0.2946871519343318,0.3558854213690548,0.44279072357717647,0.44802985320555005,0.45775544595127377,0.33203331324598545,0.23901406839013853,0.36180996767500834,0.2891525775083401,0.265410233484179,0.3205817855158652,0.4109046931610548,0.3120295649883601,0.30441419769296657,0.40257109873191915,0.3499591804979407,0.37778120207311167,0.4012347509090858,0.4558016923369743,0.42131646575072673,0.5030085958514365,0.4723039188499691,0.6936944066574844,0.8796466159847718,0.7047784324290772,0.5753627587049398,0.4950144611424193,0.39829978462648036,0.3664704883603591,0.381342639176769,0.43472060682923896,0.4097469328091258,0.4867557759059505,0.4672341267311355,0.4141684571549408,0.3888991291220477,0.3898847573925115,0.3982296509019319,0.3976400624516076,0.40242998589830614,0.6252678863684434,0.5292418911650255,0.5172440357738567,0.6493532407566406,0.8930142532222265,1.3040199983409786,1.2487868276448575,0.972198033312861,1.9106893156956561,2.1482893872669715,1.0201081975119193,1.6399193501043998,0.7245238069233295,0.6818651857327968,0.9411493968135466,0.5411805586099193,0.5786655367542604,0.546427180254718,0.5825886519202391,0.9568864892238792,0.6115497685811442,0.6725310238509563,0.7445021930780314,0.7661057229691443,0.5861121082355302,0.5825636653136883,0.6504580510987686,0.47260184114335924,0.6842691981728674,0.5992250748679187,0.7901003282414175,1.0307942856113315,0.7770051863649422,0.85922308750415,0.6159607266824052,1.2119548521745278,0.499262190548077,0.49006031207776557,0.4267860254670716,0.4386964646152348,0.4873534277494453,0.5094978393528703,0.7583751735340392,0.5259411036207582,0.5984957490956304,0.42302252299570325,0.41596328930563436,0.46328530035371823,0.39499774472045146,0.5452198899173131,0.4926501869823448,0.704439645381564,0.5970571892888722,0.5116017050134753,0.4681981078632319,0.5851824422776801,0.5298062880101094,0.4691141606204881,0.4392292254206379,0.6853138693966238,0.45813749590950054,0.5336498202785417,0.3835378991192955,0.5169210007145079,0.5867329372742872,0.5065253509695988,0.6837188945074513,0.47118601889022943,0.5092346171275146,0.6094932450789509,0.3991181463674524,0.3045213741030712,0.2582862358092997,0.32963037079060786,0.3256036222270021,0.40055610838756134,0.4484017708744195,0.46548636020255607,0.6410837665609009,0.4815708910838709,0.46916852416639393,0.4390823279955035,0.3938906075412942,0.3191392728108705,0.31205560928770715,0.3342067627361027,0.38022371737066385,0.4151291741499648,0.3721322004166591,0.44474391424203114,0.48867954847432465,0.49147172681335427,0.513931162982934,0.4628431770043796,0.4617381946188408,0.5386713299722142,0.8939854418096174,0.5452872222046343,0.5782827944922608,0.49558489276519696,0.7412104474840489,0.7614592772563215,0.5643362862453091,0.46781145496954507,0.41918172064946485,0.3861394238119795,0.3521972555717542,0.3221937313022282,0.3175202654739702,0.370917091301011,0.44863726617142347,0.500586979104698,0.7947640021469108,1.5605191754899947,0.9611260283950677,0.5713248870754338,0.43903654296361105,0.4307176141974408,0.352235942352849,0.4150285888670361,0.3850162401486058,0.35513550744210426,0.3630654816756381,0.3711236874015234,0.49037851810333605,0.6034795129104482,0.8826748144447345,1.2855038227450928,1.6815209135623608,1.5083979762544322,1.4336732752800025,0.7803653641914308,0.6864938569280407,0.4491583957774255,0.3684619137476439,0.4341422816460239,0.42115828678404416,0.6549816791492413,0.4230851922644546,0.5382248776229741,0.4813140998394558,0.44625954905041054,0.5164651627262593,0.605792487903144,0.6352433843453799,0.5797979969506365,0.46400360551913805,0.7914882846480078,2.3017718300609977,1.0966364984735817,1.7926173597988675,1.868086083369567,1.4007103394784843,1.1780335352498963,0.7936397642133289,0.8546673332169237,0.9334663154065029,0.6824231546299383,0.7592563604386598,0.5683311098047191,0.5130400162574756,0.4782483622663745,0.4169843674213241,0.6085677639043624,0.5650263675267573,0.6286134336681108,0.7864615156953341,0.6927892233718624,0.8976619475852357,0.7952791176884774,0.7373535765884187,0.9148389763500216,1.1931222520524274,0.8385043564527955,1.0095841629036666,1.0018128799518398,1.1346413061279979,1.320050557779872,1.0155866564449922,0.8844487745289531,0.9634746488793999,1.3218037901187067,1.029264155749731,1.4360524951111748,0.8248401921161006,0.8162038098440739,0.8247198334429657,0.7311767583519894,0.8424526336421437,0.739530558264653,0.7286156765430629,1.0242684755567035,1.3004424583283205,1.014283915270285,1.1035186237985017,1.4493987209393662,1.3332775823260092,1.289336868009125,0.9441868467870979,0.5544374560997222,0.5650412964179229,0.6358001732523241,0.9602017132936917,1.088388040918324,1.281901346908769,1.1215885718622054,0.9054276917533141,1.172006573878544,1.026690146961307,0.9347272345455759,1.3868429896198455,1.5874811380286702,1.2605332365050186,1.3051829083437503,1.6959337543767143,1.7757905792370876,1.3632000227494279,1.41116143144286,1.061716656040009,0.9984645604244988,0.9338768355726953,0.8031925092321794,0.7986418569122468,0.6971847257404752,0.6612175202545273,0.7853915786059856,0.8547074067548158,0.8608871123550493,0.9762593151086072,1.4256454300295385,1.2751679908735432,1.2496767785508096,1.4213603682353644,1.6316923397320489,1.6755060023926294,1.6251645967521304,1.867749031443769,2.0110432463313783,1.793045506253078,1.5781551591995397,1.2449114004244213,0.9989407691569985,1.5405894758635488,1.606701956214417,1.8537973591603785,1.9593939884768485,1.2439258011676828,0.9235367040183634,0.6001421287302372,0.4592388119061136,0.6331674881680219,0.9982063926715363,0.7542293870884477,2.0016394325372966,1.228966372151382,0.5168131808025749,1.048754515668604,1.2762800499736773,0.506523674972629,0.6576179214488687,0.8770650566727816,2.173696124717294,3.301399629411639,3.5106545449117377],[0.32866224047271553,0.3948748780400387,0.5535308399323238,0.5242016845740983,0.4938314525508369,0.374467182688514,0.2665907919187422,0.33002788250193066,0.3251582662534011,0.288163201446555,0.34122839075309025,0.41889430994326327,0.3297955940992938,0.33589622535045477,0.41588879388901245,0.37501923575520263,0.41206216588836975,0.43835011164846194,0.5083710752412455,0.46166684016259923,0.5570926522249181,0.5170764685244692,0.7618565889493275,0.9486219495276254,0.7567710374393333,0.6426303650169146,0.5548688306784015,0.4561512653491201,0.40695463161872825,0.40523647113231936,0.4714825280765044,0.4170400420656903,0.5263908559570867,0.5144004024729011,0.44443368662305116,0.4352591586014844,0.4078871716621927,0.4651833910013406,0.47421955535531707,0.48518482465525925,0.666967847948344,0.5824244777599704,0.5781883328747848,0.7013884743587713,0.9851300658061691,1.3480435455589896,1.3476426910731298,1.0220198727367789,1.831382522924507,2.0379344307465126,1.0835087499013527,1.610155626508779,0.778189796729056,0.7720379494079773,0.9672314935355875,0.6133151114553145,0.6527155009736759,0.6025571588721831,0.6324960032808333,1.0331293514803914,0.6593313871772389,0.6941281307374471,0.762368377644922,0.8233697344981985,0.6453528524514528,0.6117456073000469,0.6789737731910331,0.5039638212465636,0.7130387313715681,0.6350521307144447,0.7853831232467621,1.0301487164552194,0.7983946510395165,0.8881595329788879,0.6547401049148165,1.2845334019253918,0.5412070539137231,0.5422502245589437,0.4723103777474272,0.49195991570562925,0.5172958891162088,0.5546445593848004,0.7894720526955074,0.5396193870003861,0.6279115040166616,0.4488791642802599,0.4714066206206178,0.4935856508864504,0.4417340546533245,0.5694371380801966,0.5379634246205846,0.7741760527376296,0.6624318903774762,0.5604039598729293,0.5094899453944082,0.6324458112097493,0.5780728930861332,0.49081741291335024,0.4443499727431756,0.6861158589589661,0.45228543023278966,0.5198318527198299,0.3787740374033284,0.48700621589992116,0.5548599154357007,0.4928418415830771,0.6314181208247553,0.4429891017188843,0.4683480566320105,0.5972827126340845,0.3504165559213414,0.30183496666318615,0.2711513284151983,0.350552751813492,0.3649648402885059,0.43634052869728734,0.48605207816010143,0.5458497461906482,0.7260511967606341,0.5065648451261324,0.5030375161421452,0.47598569956830455,0.4438645772519804,0.35676803843443833,0.34097765371222505,0.3639189900386196,0.3844608093122069,0.37820006122477146,0.35322794476124086,0.403959699229618,0.5054311039779671,0.5066172915691209,0.5263153910970442,0.43818844804466106,0.45415372113504715,0.4817829977355251,0.8222049524967526,0.5755988456227966,0.6393511668624585,0.5033395359988452,0.7721573891351381,0.8582679999083875,0.652840234844458,0.542406129733603,0.4954741006174844,0.45043789980789783,0.40623185394151595,0.3545555840994246,0.316182032268883,0.35999749442605317,0.4216866647533195,0.4937015544745238,0.7775102280229654,1.6088015407791343,1.0160672693649957,0.5719487314809907,0.4303018955080087,0.40822918491332844,0.3565754261418252,0.38004759947870026,0.3884931431168338,0.3976877131428673,0.39409560799769,0.4026068779274687,0.4862392962984761,0.6112326089397242,0.7704833835862563,1.2016910713655167,1.542912127012328,1.4015525100341448,1.3066991378535515,0.6958269893483341,0.5715746634773734,0.474082716342377,0.3845470966563569,0.44868497048251915,0.4271005960729342,0.6398346213840691,0.42440745896898396,0.5525884194347923,0.45501374629369007,0.4586444092099132,0.5613300043152484,0.6518895703797557,0.689210416670617,0.6143204764505533,0.5238952256525105,0.7964371973728932,2.3490949322035846,1.1008577770219672,1.8876013635206779,1.9930987265354418,1.4802562319080976,1.2187350672823687,0.8427470831992228,0.9241912952922104,0.9722070419578672,0.7336572905229464,0.8111967240601383,0.6064875404283404,0.5481953885014625,0.46089797979360836,0.42587921504487164,0.6414506708092002,0.5670970564854905,0.6287653070982567,0.7854228091302121,0.7111032950082455,0.8931748548013411,0.8377278957617207,0.7818655152170632,0.950379909169645,1.220509224401183,0.9062972215591867,1.0673934755118968,1.0095037004666023,1.1836952231078648,1.3094266600496267,1.0280755431270907,0.9188061694080646,0.9938037191369793,1.3345231563067732,1.0327062199419539,1.377800030255757,0.8139082681860227,0.7997761843798692,0.7891861092426007,0.7483585277225365,0.8745143815555583,0.7781453792636956,0.7602578789670944,1.0954969071904217,1.3409188475426543,1.0595366598519664,1.1581655618640894,1.532708442867587,1.4188522934780954,1.3667092641844503,0.9934589729092803,0.5804636672580175,0.5810098678760086,0.5996877079289976,0.9085873291405883,1.0114013024367734,1.2252901617372955,1.0407365701524485,0.853316249991931,1.1192004525420831,0.9815917798621038,0.881452045259843,1.3208710695055979,1.52595419995106,1.2208999807783478,1.2577094302498026,1.6407155160837905,1.739178374108026,1.344534115010356,1.379042102436727,1.046712326234068,0.9542821253581998,0.8821275217444469,0.7672811149825154,0.7937723982958638,0.7041064332754169,0.6715855663436674,0.8133185281490517,0.882019932114646,0.8892857891356444,1.030687760500368,1.4824203914902168,1.307100179710406,1.3053407798814387,1.4811132025503198,1.6812131241018125,1.6975450395972105,1.6052164857196212,1.8508940915385177,1.9982711364238626,1.7551737777432062,1.5137693940429224,1.2155352547520282,0.9573285422513044,1.4260126327777765,1.5235129117114776,1.8058341800290174,1.9406876214332895,1.2509891610776656,0.9145031926194139,0.6313340791043521,0.4805910012189297,0.6875204027070979,1.047364336404061,0.7986362892513297,2.0217877075564603,1.1456879313591135,0.5298074779110312,1.0471989962694541,1.2731670529451804,0.5363785733933136,0.6738611878785407,0.9174214470934712,2.323482464920971,3.4436611419604457,3.600839757823573],[0.3685342045754801,0.42591794120929793,0.5039501876978824,0.5552313324283454,0.47362025289404314,0.39738464560112535,0.30965693860582966,0.37932267894542704,0.3378724357573097,0.32029582986987915,0.3691119053580704,0.4300567918577865,0.3507335431946849,0.36908605157708424,0.4521209867352133,0.4261632014917533,0.42926416939127937,0.4676653438828624,0.5442425594234852,0.49496722415309974,0.6022187341378119,0.541647519602227,0.7642289727696044,0.9957773498553035,0.7229253190074948,0.6501346014257909,0.5587342462674232,0.47139233750661846,0.4276304943326686,0.43360347783429826,0.5022053792801809,0.4629288700751723,0.5536223290819369,0.5413628750834382,0.47581018703269706,0.4596433361313494,0.43508297236318705,0.4433744024993593,0.469545909826433,0.46684359616416016,0.7093335414121029,0.5867300854617511,0.5835056021157489,0.6846252509787716,0.9643535947782669,1.3352030826776686,1.308675851969981,1.0192993438459474,1.879768301618782,1.9611951542815746,1.0606397984879152,1.6383079562070126,0.7783775905958915,0.7534744573996806,0.9356021438651942,0.5994078746379874,0.6481225650402247,0.6006499065602268,0.6413953611046175,1.0005204941697812,0.6716755402617022,0.7600148453383132,0.8327599833336616,0.8757963328351434,0.6593897959703,0.6572350101687563,0.7278603327568286,0.5479881974847761,0.7462580071626295,0.6636448037486823,0.8174264958856498,1.0732171839198574,0.8361759726587051,0.9233032979612773,0.6823327165705978,1.3270991819346722,0.5865342680890303,0.5871970056505668,0.5082925145344027,0.5040599013769839,0.5269327438644976,0.5817158872471434,0.7933225085206378,0.5525763260159501,0.633588294429048,0.4858363273369219,0.47651839294637055,0.5172869420964953,0.47449655540156976,0.6055197730069019,0.5655192992208921,0.7849005280639154,0.6745010939703047,0.587864337137363,0.5338575898387458,0.6450800592203362,0.5745686483168834,0.5218555388549889,0.4743155046489298,0.7025828425958152,0.4909953116711974,0.5432239884225748,0.4200488678649505,0.5058859703679852,0.5929665796501872,0.51814989995604,0.6619366042650354,0.4477145950262669,0.4920112995233891,0.6638482594453785,0.40763816908475736,0.3443753212073896,0.32261566404148057,0.3761806001738229,0.4024440502690394,0.4674094655562098,0.5052071441233,0.5592774603537226,0.7111631204233466,0.5569028713460922,0.5393296927138832,0.509784358129352,0.49787487634174304,0.41159501711695295,0.3626218264873866,0.3946947262381608,0.4459266682419094,0.40794731675646073,0.365709267162399,0.4579898244971031,0.4726300565444894,0.46507643099039747,0.4825375713183597,0.5142157629576376,0.46781917961817254,0.512381343641863,0.822808103029177,0.5597560225550006,0.6479374947060158,0.5482932516948571,0.7947928495975467,0.8355885139927695,0.6485881434107019,0.5457703297800551,0.48798543554920576,0.43916961440832347,0.4147715958762872,0.38210709488364175,0.3594353967405557,0.38919438972154946,0.46600143242632786,0.5384394549620549,0.8281413408229141,1.6868899787398086,1.0459503888524828,0.595668839756644,0.4629313768589357,0.46348141540235865,0.3925577933445779,0.41356973611198655,0.4132029061759651,0.4179496620768302,0.41924869995387637,0.42857465114321364,0.5100208616640604,0.6322156415021558,0.7539564682526153,1.1146267918314297,1.4597364388122414,1.3874291795528038,1.3057508513528289,0.7450842431365973,0.6187259826112602,0.4848522537723153,0.4108042732926715,0.47145640335455746,0.47248163397216697,0.6666805255119238,0.4727926505377669,0.54940974267046,0.46730215783451967,0.46289994353032415,0.5362708376869275,0.6063783646169787,0.6454671894729624,0.6088321227394036,0.5265343978785697,0.7542159807521882,2.3372034760050324,1.0750703602130185,1.845340517590246,2.026730899874812,1.4330399788370665,1.1571222137862036,0.7497480009929031,0.7873761011113308,0.8983461153006224,0.642422733051787,0.7298621505334556,0.5761663955546555,0.49273551463489784,0.47360964896494934,0.42595113109521865,0.6011487601869359,0.5372648800937281,0.6043817967354808,0.7760148359455614,0.6663634894805422,0.8401261387123492,0.743306550671441,0.7159637964595651,0.8440864232398674,1.0717825914290553,0.8303073240353702,0.9829441909895364,0.9838622399327085,1.0787386640302312,1.2475929854038927,0.9698836585966275,0.8318313133225848,0.8823102700374147,1.3217295896035717,0.9610041923973974,1.42305885636527,0.7819015469600734,0.8004354662321131,0.8282130432435089,0.716278681202149,0.7390063137116315,0.6728339770074493,0.6850368605216705,0.9523218348025261,1.1924255738792962,0.9358780031146402,1.086328844316553,1.3330962448537012,1.2584700735129037,1.2222233572280297,0.8909951240072743,0.5319220735001594,0.570153621198299,0.6650134243626117,1.018647259277939,1.1125121199600678,1.3518544030278297,1.1037253125703794,0.9161657597858369,1.2190972040617163,1.054431300550113,0.9213598713049944,1.3404913547812483,1.528669766075839,1.1894360006337226,1.2218490113766187,1.5907683649613713,1.6321304659524676,1.2432105650799423,1.2920058524180562,0.9743450508294131,0.9296873438547034,0.8839279935969814,0.7639143227695444,0.7220939437861278,0.6366095144425643,0.6103204432195994,0.7128703412331395,0.7928646778565507,0.797065891886725,0.8827454490323964,1.3308129596265994,1.205090840470319,1.1778973704697568,1.3179917556044065,1.5493172597976717,1.5679278625672612,1.504474256793883,1.7208293598738134,1.8970008411748969,1.6580124903805034,1.4792398228553147,1.180750655114836,0.9354895495324125,1.4439831132485619,1.5110164842863174,1.7478037885786657,1.8962855124675284,1.1961458272993113,0.940873261307503,0.6034948208777271,0.47909260999617637,0.6592393247556336,1.0927004826188758,0.8873495246819151,2.125021302444733,1.1052936682027512,0.5784540225710186,1.1577061478379138,1.2591994747656268,0.5643568184877407,0.6843499302780887,1.0378660759946703,2.614332166578262,3.7951953673062198,3.9584800037661365],[0.37460496531703685,0.4340181708088503,0.5580675873800619,0.5927503037550594,0.5878129089601197,0.4828253619838573,0.4563202868613792,0.5318652465937685,0.5274389894091309,0.5594884895245914,0.6222400681017302,0.666617338268914,0.6068302554525635,0.643339938100187,0.6994157405708414,0.6916150433688564,0.6688375476442651,0.7351767677430788,0.780419995381939,0.7589773910278466,0.8698252102584382,0.7948477723378025,1.0250537068228514,1.209784527586467,0.9535755566712198,0.8999938041628326,0.8133484327183651,0.7265724705592999,0.6681533558010025,0.6647148820225589,0.7485910661749433,0.7045890728252259,0.7772589460404905,0.7852841459731239,0.7239476347990579,0.7131226929265002,0.6866226372820826,0.6978050184854788,0.7424159285743515,0.7257157190412821,0.9225251772528527,0.8548929877507456,0.856833196367126,0.9246485957858382,1.2049401778709996,1.4859430894304235,1.5142489300324016,1.2495595884804025,1.8755304295441735,1.981517449210309,1.227307073628186,1.6728064312639266,0.999785618871814,1.0002580833151495,1.120407498668931,0.8700183242589997,0.9251014084449676,0.8513918322734211,0.8755238756973235,1.2034760841104224,0.9231799115692242,0.9647805937129996,1.0051085930968457,1.1349168196581312,0.9387730632136306,0.9068553753485042,0.9808770783633325,0.8058403753061821,0.9632833385849751,0.9185664055726414,0.9878899452114477,1.2343890074107666,1.0612424352652665,1.1123607329542156,0.9275336573122671,1.5336530200275087,0.8377331024591711,0.8239720833947284,0.7437105543299488,0.718069418786276,0.7534217720332402,0.8034407846642106,0.948473664542105,0.7324514109744074,0.8252276929493445,0.7128748963346936,0.7334426008215585,0.7402445210688375,0.7181810388697861,0.7945533220851676,0.819886469845743,1.0132110184381362,0.922329995467345,0.8582320455146861,0.7907070659307114,0.8912109377991368,0.7904224530016603,0.742909996953757,0.6782920667694108,0.8611527947979931,0.6968925520301719,0.6899918173509694,0.6228074623677259,0.6541995915742562,0.7333454396205656,0.6490858672031125,0.7450737985918516,0.5251734647370238,0.5467091203401321,0.7087933546132787,0.5057777554371916,0.49701375980287876,0.4940363884428011,0.56568335978202,0.6297042844731362,0.6736797760699432,0.7248015361695526,0.7828370264322277,0.9554890350924692,0.7632654480465384,0.7498876419587598,0.7321003409726533,0.6946252952660776,0.6178021656346204,0.5541347998620453,0.5580775875257277,0.53293359046177,0.5248899326011784,0.48923216246093015,0.5682171922648308,0.5825939665071818,0.5731199336114772,0.6066221045639569,0.6150672250176005,0.5752438390704838,0.6120796103292045,0.8495852641899789,0.7146328281119602,0.777768173371011,0.7124630185933152,0.9666493708967706,1.0555676703686923,0.8818203088891562,0.7668722526561996,0.732775847339049,0.6952309696367218,0.6558244446690058,0.617692940542226,0.5781299156018194,0.591398843621396,0.62313641234937,0.6940479323061002,0.9359768803247094,1.7712306840835172,1.1638483278006886,0.7601025374323922,0.6520899862663689,0.6395825403851885,0.6072858516378032,0.5913490219131688,0.5862316800877914,0.649233997049996,0.635754312455084,0.6611994591638253,0.6796081002188451,0.7825915814974711,0.8286655827740127,1.2081997597800351,1.5071139367714588,1.4079417314285432,1.3334429947472355,0.8429317115493735,0.7211410238953101,0.6429961400497936,0.6153782786398669,0.6847546563128312,0.686628630694193,0.8151694744843833,0.6614725244653321,0.7230276872728825,0.6650040231561841,0.6233468551204777,0.6809977788249729,0.7312057604585582,0.7469684898471713,0.7503962860840289,0.7334209719031907,0.9250278774653743,2.441034529584547,1.1856712367378952,1.9406143087028624,2.085079169824073,1.5220997557479707,1.2519282992650864,0.8657499862062203,0.9382624307143794,0.9939301114144924,0.7509117098067042,0.8184380650105102,0.6534086452167743,0.5794591444596242,0.5431447529394555,0.5081345139690477,0.6585451050688739,0.6003089911609812,0.6702570394211383,0.8150123422890685,0.731196118472366,0.913238850751259,0.8329001786268097,0.7986763549708233,0.9460108857982114,1.1851654094296538,0.8995875889198248,1.0717142758674336,1.0393714577839819,1.2036816559621182,1.3498588457902503,1.0456062874411869,0.9326636155605346,1.000340198881823,1.336492421199852,1.0393228944087336,1.4312541598885886,0.8369296327959583,0.837297017405105,0.8445734368695108,0.7803989555108459,0.8809679823235506,0.7813969191889046,0.7766359431333238,1.085561648317882,1.3180944909409005,1.0578785169713805,1.1721301708424776,1.5217765922939885,1.4239877121966782,1.3813853676047736,1.0014848970432513,0.6220458356699733,0.6410832570380427,0.6926820996561684,1.0155337910766933,1.115855665516137,1.3562648168573632,1.136124978373424,0.9407540310046162,1.2404132912357189,1.0938361670542962,0.9552333053959516,1.401038327817095,1.6000776575326972,1.2603472197846008,1.303065193161371,1.692013309602762,1.7444827305516273,1.3536412592702292,1.4060411207343633,1.0742766268442938,1.002124411675794,0.9328857904820488,0.8096597488892785,0.8236852446074034,0.722674285277958,0.6820117293558305,0.8157685682612074,0.8834291444542872,0.8887062134535331,1.0168861500020454,1.4813916304802175,1.313405032310735,1.3100109333613361,1.4911856554464116,1.7110944517946844,1.713983087460608,1.6234827406647518,1.8885320440199165,2.031269296290962,1.8186185221374567,1.5475358286705325,1.2390107383323201,0.9887178898431946,1.4439881773034255,1.5322295996470012,1.8141662413092943,1.9263071869356856,1.2539994760806803,0.9391811904835387,0.6762518822419832,0.5835986276491374,0.7432780561303418,1.0952780481929099,0.8620674377883287,2.0955762728294647,1.1450756392726418,0.6008431348586148,1.1293379761709381,1.2905479421868897,0.580943083291374,0.7013396072038302,0.9906517312709685,2.3981274608530168,3.6059777570684193,3.845430043086898],[0.3836796215926972,0.4162886891601006,0.48558420692785,0.49114396141640654,0.47631107464811756,0.35488410279434696,0.27642994014504746,0.388310497211132,0.32126991358769164,0.2994518938414969,0.3701049977348389,0.4535978336183616,0.3336101588942167,0.35043993935443857,0.4543613705024314,0.40841250643785176,0.4147391728345132,0.4601397143018508,0.5291099759084128,0.4853597321766298,0.5830860111598591,0.5347131390923122,0.7618132726448495,0.970824980862594,0.7404702509843429,0.6458280223463856,0.5521324978644317,0.4483476111301957,0.4094365396269481,0.4152041265868693,0.500390519332384,0.4638432501838153,0.5604523106913838,0.5307796160445651,0.47774516377269416,0.4529697528571082,0.42202579080971603,0.42312193981126484,0.4461167792752565,0.44402626560791847,0.687160191218922,0.5750925989667073,0.5639342455191005,0.6903495250965183,0.9849632349363235,1.3608892763375564,1.3439655421720849,1.0328271119099854,1.8683747609598544,2.0372959783117164,1.042866342577368,1.6438254933274117,0.7590811096612543,0.7286905296733481,0.939415543966908,0.5849808816003179,0.634649230007406,0.5808959678833242,0.6370796431074325,1.002123617070696,0.6884373585429152,0.7590220831533042,0.8329861278457685,0.8742080411395643,0.6627776240104963,0.6579751313211899,0.7194479186882335,0.5369548099241033,0.7314213125024626,0.6603539309785929,0.8058004932133316,1.0707789578835127,0.8381873413123628,0.9256709050849186,0.6969600710154099,1.3653248834598648,0.587138151192706,0.582411592344702,0.5109950774203988,0.522324683552046,0.5250738141428889,0.5478025226103733,0.7817873295287131,0.5442037402490267,0.6087574020778121,0.4533947723685566,0.4543288405860709,0.5131182876698355,0.4676279048617904,0.5863428682918479,0.5681263641282343,0.7729252247853629,0.6665057890379648,0.59102291638817,0.5360391757011539,0.6472811220639638,0.5847905688101078,0.5308099045492689,0.4934472824241455,0.7227318804612639,0.524947452982442,0.5785174368882553,0.43129486061288924,0.5361444291745112,0.6091602106801676,0.5183464050095423,0.6864224930126566,0.47888549930893787,0.5215592599605274,0.6430393762879516,0.4219657052326354,0.320933496288856,0.28990632045824055,0.3451080850596198,0.361039378256726,0.4257422815796314,0.4729076330779023,0.536102425244665,0.717568914164473,0.5322239112006191,0.5141985961792417,0.48061016037174625,0.45718341067618423,0.34289866556588156,0.33201982395344565,0.364902831868314,0.41824990970970577,0.4210908310841032,0.3831047940220293,0.4729828027444794,0.5117315562793623,0.5180236429162378,0.5278287607286003,0.4948644336857324,0.48042275203027596,0.5392042078896135,0.8596474005637477,0.5590489533349733,0.6176547962895027,0.5071639327112887,0.767386251562944,0.8374810468566091,0.6281419408247253,0.5136510989999309,0.4626413778080485,0.4158306056381734,0.38400859581831415,0.34841207810447605,0.34341013565047473,0.38168707246878175,0.478676644472171,0.5324671773071583,0.8327850031766784,1.6345951553994373,0.9929105225884859,0.6066779120527003,0.4797824979538904,0.4807499861714128,0.3882501723182873,0.42909297381920664,0.3957870406636469,0.39197993371089473,0.3814503427384866,0.3879269587918568,0.4828254558169099,0.6116987983552565,0.8088972590957992,1.2086122002095687,1.5971433746895953,1.4407827689495378,1.3698651165564912,0.7459722392229732,0.6410072206554965,0.46482347883180686,0.39571192330424726,0.4562703915570809,0.4581377753320392,0.664434631693132,0.45569318606854875,0.5391214901169309,0.47473052265600213,0.453268688790393,0.5179652828446936,0.6051831442919892,0.6501750314430123,0.5896782262529282,0.4951555300722075,0.7591357048614648,2.3329710635904397,1.0970236773689443,1.847462372723894,1.9425979704329344,1.4407504745923017,1.2014772920150436,0.8102137828282896,0.8757172987566979,0.9497072799629998,0.706868285586139,0.7857115993574619,0.6117481750233822,0.5500429432448269,0.5303581955240129,0.4684962447020816,0.6434948679434116,0.6120303493461645,0.6751341353585542,0.8344073619558766,0.7382985503373454,0.9412025232536091,0.8226996368041942,0.7787351899222008,0.9504581329408545,1.2055202224200416,0.8642501328426895,1.0495029224789978,1.0538078977569947,1.1858644235178328,1.3789689745887153,1.0623344787245463,0.9364847527593727,1.0124832488568225,1.358468397510866,1.0728654561729063,1.4797200403408137,0.8693427374365372,0.8635950427817143,0.8778019297388404,0.7676503324460175,0.8783539982787727,0.7808098603419348,0.7723718648307677,1.0667801735948814,1.3437238902193032,1.0540144039067152,1.1422837527491936,1.5012131067661074,1.386451064450123,1.3217534452819295,0.9756029234461095,0.5793842906307589,0.5976247427797292,0.6962929779177544,1.021929140773642,1.1650859246084604,1.3562732907789004,1.1717070742738092,0.9842516123519531,1.2599031194769608,1.095088080050331,1.0006346417956118,1.4679241004898373,1.6632253085240674,1.309099495105309,1.374080384890595,1.7790719196994569,1.821664145788048,1.4169802458394554,1.4863668064162399,1.1275396964985116,1.0706967335901802,0.9973032261636773,0.8663752050830403,0.860411937151524,0.7515280916955489,0.7113159931331052,0.8322693168039301,0.8981583756436701,0.8941951828403932,1.0182944268298015,1.479652996206267,1.3204001886854295,1.2895285189223569,1.4796194686811157,1.6975808210005274,1.7350931615906766,1.6756516288138297,1.953551989168389,2.0825582721697615,1.868734781358767,1.6158082947564942,1.2859494363870736,1.04192638168497,1.5558533737844646,1.6240822571828244,1.8783709091928285,1.974173430396692,1.2716294425396943,0.9483071948824389,0.634375811677548,0.4868422367027505,0.666539973726328,1.0086013785288914,0.7612604220701898,2.0334072555723472,1.2195887620257126,0.5540451540069231,1.106012984912249,1.2631076699518502,0.5136546558869391,0.6737775483334357,0.9252021302799689,2.1776376054462956,3.4076089486041043,3.7290492332514216],[0.3872102958049414,0.4486287426484823,0.6017143137851705,0.588512552085055,0.542178566691413,0.3878747778272003,0.31935284160024896,0.3860089951139009,0.3473260835792696,0.35566185373347103,0.4230498406726974,0.4655093747691775,0.4021125112609685,0.42897173320606813,0.46771147204013985,0.4382808123545009,0.4615700789290456,0.49354204956720377,0.5538405677202123,0.5307738063628578,0.638212698749276,0.5831344310670721,0.8214300141788006,1.0299698512531537,0.7848438439464863,0.7031762431132893,0.620123566316647,0.53604865494631,0.45917601970931815,0.4466336610078052,0.4949852605080654,0.46501012058958446,0.549829474927804,0.5252479424334828,0.47461428616314555,0.46610615454924964,0.4621563483543971,0.5185696946520446,0.5414027698705618,0.5546177350202035,0.7722796422675595,0.6420659898004173,0.6454219586513683,0.755026946894267,1.033502303632234,1.3609230743096228,1.3594106607528411,1.040603868437434,1.7981010468979552,2.0370456216087907,1.105944729291968,1.6054329870471122,0.8460269798968177,0.8382665382276555,1.0335693491337667,0.6737280750984035,0.6993929780181894,0.6568705079913857,0.6853382860262413,1.0712897299199944,0.6947696290081242,0.7482653740053995,0.7939958972454951,0.8907362732556482,0.6851786822757464,0.6630214630405991,0.7681332498454192,0.5581476853955866,0.7677100453756287,0.6731772533084462,0.8213871347391168,1.0744515174414304,0.8475502745605306,0.9367112282228138,0.6808628766817307,1.3513664531738843,0.572161246441493,0.582845569484946,0.4991003072516203,0.511841980404361,0.5362261732533404,0.6097828026910304,0.7772262037761818,0.5885967613203387,0.6667714788640341,0.5048177300029079,0.5276809914551072,0.5454793222346295,0.4741100811933443,0.5564132038821065,0.565447532415576,0.8194382948290341,0.6999589379904382,0.5788624980825093,0.5291240945532077,0.6441939868965365,0.5815222512122585,0.5142548238549262,0.4712380917602513,0.692242447016134,0.49110561954252663,0.5463441778018486,0.4130265795410648,0.5212634210467088,0.6100543769997613,0.5341867316678418,0.6895700519840021,0.5132968027093123,0.5397849958764607,0.6099702257190477,0.4439360322234785,0.36671031157418926,0.33899565339290855,0.41615999064770404,0.4481098383387849,0.5201190987431749,0.5694963337907235,0.6422203481781624,0.8015381924972848,0.562142166405976,0.5835197709866639,0.5661983216897786,0.5426645451140876,0.4524808530099852,0.409171474489754,0.459273369823166,0.44262543873050336,0.47301420545186434,0.4398499805346636,0.4629614857920225,0.6091528484612572,0.6086743400463875,0.6554324242299103,0.4902560734671638,0.5690561879199004,0.5724588459536297,0.8683289382806768,0.6931763974201574,0.7378672953075334,0.5988038694412591,0.8796813250831976,0.9786252362829767,0.7475498860182916,0.6453366458658244,0.5968679190919244,0.5192308527501461,0.4887973497355016,0.39914189545575607,0.37995874465953605,0.42084124862827077,0.4769720466248974,0.5264447050902055,0.8050658964272729,1.5937939879691916,0.9770626029194539,0.5814975203800552,0.4679701607291074,0.45129370910476796,0.398277188193454,0.4409447851236786,0.463291182256449,0.4564107135302923,0.4879847995346823,0.48855333901980796,0.5770932706108491,0.7216106853088801,0.8693466075443493,1.2915512284624362,1.6414851507534824,1.4566096803264281,1.3716951328904785,0.7618039348005798,0.6455136478876828,0.5339377177024692,0.4649180727805519,0.5013520634396572,0.48630917493211046,0.6749332869404051,0.4938938703733479,0.5795784067889808,0.5527922431579991,0.5244555019032021,0.6395213495641441,0.7480776637426579,0.7798367150351906,0.7032258708926511,0.6021299558228095,0.8780954731410447,2.343925453027606,1.095430395274063,1.9935281945837118,2.043298467294084,1.596417706680843,1.3505572441222302,0.9704272238696557,1.034604968356722,1.0519075875715722,0.8385445984302886,0.9081004010696663,0.6825950928860874,0.6334819032644327,0.5222119137628428,0.49299381698273975,0.7172247546237408,0.6409018244216231,0.6706037563986427,0.8506942959688439,0.790909519228555,0.9491759282278442,0.8780706419585483,0.8377380883219718,1.0202691677121107,1.2850658873287997,0.9290276951736078,1.128874260256876,1.0835662380779092,1.2458770158991046,1.4390662665561296,1.1292388803343623,1.0249871485656523,1.1243630490468237,1.4233844907342361,1.150651556119633,1.4167512547587267,0.9224576722688307,0.8876003398661354,0.8722061007875094,0.844848114749745,1.0017760127317228,0.8934182900805537,0.8723807673457893,1.2308506024320862,1.4811555896142217,1.1896317547869169,1.2628641383119057,1.7003399982626541,1.556106695471766,1.480553698788458,1.1071290940269067,0.68208785635869,0.6685911703354734,0.6672370059071036,0.912268487263582,1.0303026304171834,1.210092285908924,1.0756076700770774,0.9031814889315246,1.1366637974661578,0.9996577532358479,0.925360776019517,1.3852240356843255,1.5885474374897506,1.2768097341898448,1.3396022463461186,1.7421428376749555,1.8297497915681022,1.4366772728383466,1.4925428501968954,1.1446848095326965,1.054339658352827,0.9592178945221453,0.8545665919852943,0.9156854452768566,0.796810761916372,0.7655512229707088,0.9421231281435083,1.0004190221300602,1.0026557009827823,1.1649444100813897,1.6265042556204494,1.4291856989086176,1.426581693618742,1.6472861880032434,1.8338929007472125,1.8474148752794548,1.7571232883564671,2.0616854531612194,2.1712771895383858,1.9634315794763535,1.6440966955405503,1.3110859834957034,1.048764222206141,1.5189689795240002,1.6184908140372842,1.9174395773344064,2.0131338239920513,1.333496235251759,0.963387747618437,0.7113239971103307,0.5248115663001346,0.6870481686107829,1.0176377482653265,0.7406426847559878,1.9817822814485713,1.2305903729525733,0.5250507871827592,1.0433299610663598,1.285868661678999,0.5441181617006904,0.6986802229953758,0.9074357841997481,2.1271703591670175,3.3028616437738667,3.573940641291872],[0.4758318570394114,0.5100227051430068,0.5445484762228274,0.5957796519111688,0.6440141386171436,0.5182915535160507,0.459128480005493,0.5907844138893169,0.4667713115209562,0.4029348257336747,0.434571787868541,0.5056451829253882,0.44934966461647957,0.4047269358725871,0.473564722861378,0.4541495755903199,0.49124213767373404,0.48085392019506407,0.49279614144557843,0.4939176369714422,0.562088214837667,0.5379903042676432,0.7246832146301947,0.9421901841908559,0.7413810368067406,0.6149433538756072,0.559477827885877,0.46730566697277887,0.4692077391468413,0.5109043461486253,0.49882281133397033,0.5187481057811001,0.5542711844263921,0.5324909133660758,0.5011205417150827,0.48617050554088614,0.514231957640294,0.5017562715570169,0.5023447264191936,0.509834277299503,0.7032720332051466,0.6116546649124799,0.5963694461732374,0.7316101021817374,0.9320361884133714,1.3424728689155891,1.2835672968583702,1.0493295465786887,1.9524655206593535,2.267196308786082,1.079472187823341,1.6752564830176022,0.7974795611948496,0.7556855148443263,1.0216186345693765,0.6176870300603304,0.6653231894761276,0.6333289944544936,0.6282817697461864,0.9973515146100573,0.649819027133985,0.7023972066728901,0.7851331472308206,0.7880283115942491,0.6554186473941781,0.6315887767281275,0.6941563911324102,0.5482694292174594,0.7438621872516847,0.6561985277042545,0.8388022262594873,1.0497295641145068,0.8113362235141124,0.898644338965405,0.6591118402863906,1.2282377808617324,0.5706244013785393,0.5527379871211142,0.512477412831299,0.525977876702624,0.5786635630371186,0.5951137374931735,0.8261472923463921,0.6584199614766835,0.7688208813671277,0.5679623096204494,0.5262862614309746,0.5568890008959504,0.48361530862233226,0.6223202727681467,0.5640591661615335,0.7429122133137213,0.6359938202090704,0.5632114380880873,0.5352326358613368,0.6346669093765187,0.5806846639161032,0.5455466900776045,0.5382991414137419,0.7366257790285607,0.585032126819305,0.6880771105366903,0.5637475236343202,0.7140481932491739,0.803040539388616,0.698116776898419,0.8752320455423886,0.7139922071176784,0.7341321320649518,0.7697163465357282,0.6551512139250808,0.5388970342812899,0.4834534959831509,0.5317829937663997,0.45550489154942675,0.5070113881605522,0.503233866945292,0.5279360845104275,0.6982191739022799,0.5404297052831439,0.5391883901318029,0.4972713265473243,0.4629549140994684,0.4534856907787994,0.48592108663979267,0.5290824944073635,0.5703367918539025,0.6361241461928437,0.6212687694649995,0.6878372485515859,0.6723621021900141,0.6665851841776673,0.7148139048416866,0.6817029635618672,0.6924568405293825,0.7948623108089806,1.0849573769087832,0.7214841879015174,0.670289608925129,0.625663860172511,0.7820088489857078,0.8111831546051488,0.6057359792629128,0.5421091495240625,0.5136805474438132,0.49861860454062645,0.487893427819886,0.4979214374479281,0.5252103481699893,0.5788443427624552,0.6733190821906827,0.6487811529632618,0.8688259214632859,1.515558622265728,0.9444390642825041,0.67201539529107,0.5909688042389973,0.6283285070186667,0.5303867328990219,0.6512852963786456,0.5788972622172185,0.5217592375546177,0.525979108907864,0.5573344206625218,0.6797050985583865,0.7442597153951741,1.0957716276626104,1.4746097758206513,1.8932770775166246,1.6598022780524344,1.6183590883459418,0.936864314790946,0.8848193577064372,0.6188229960889781,0.5854860130388576,0.6252519817301222,0.5883868205334111,0.7848793730056035,0.6155325285222063,0.6625491011443436,0.7231921853642578,0.6305556338997875,0.670328946563083,0.7552429523906461,0.7516851323254792,0.7203954657423078,0.5866789728800053,0.9812468777743524,2.3917353102657026,1.2036100420748397,1.8590323552089378,1.8671746896723649,1.46877556938584,1.2829553336572501,0.936780842615049,0.9803553150573778,1.033394281625865,0.8193930334832733,0.8579485573290953,0.6903249706110247,0.6936998098514854,0.7264586440363192,0.6452097068933028,0.7428331338872298,0.793199525636269,0.8724942656154413,0.884815878698921,0.856795455666299,1.1420099333203821,1.031084395810526,0.9273957205628132,1.1517156373420683,1.4571109383696184,0.9991476205882017,1.161537691539784,1.0740500497899934,1.277829310917332,1.3753495001757938,1.1023475080775837,1.045443394853993,1.1145591836725413,1.3635440655097635,1.2204437153133094,1.6386661499335793,1.0378607227601435,0.9962692678626477,0.9983908691290381,0.9004591870409864,1.019046324299305,0.9020767582015355,0.9141400575687724,1.1758829822590942,1.4447310721899893,1.1439823031702185,1.1668048961082695,1.5793155569143489,1.4172152008181764,1.3612273022186476,1.0307173403386682,0.731228660097523,0.7299716898252554,0.8484202428678331,1.125840885685522,1.314820325946664,1.4130409659974097,1.3254968576454162,1.1155450445022648,1.3352207782584813,1.1783303953207693,1.1673251826785178,1.6131071125164664,1.8042091614118667,1.4958216133014162,1.557067144968154,1.9458328289938152,2.047267204868209,1.6280030896660016,1.6799461498116142,1.3053221959756467,1.2507778353913594,1.1831215276916685,1.047257643344225,1.0428958584040113,0.9279462826982353,0.876248413697327,0.9645633128731721,1.0024260510290153,0.9955783077871875,1.1236290016867714,1.5342748943857027,1.3475445900512821,1.3207500738005675,1.519392004830612,1.7305459655985858,1.7529087061327533,1.6932973383342331,1.9982391659144738,2.0936646006591686,1.9041596721230991,1.5969645643357504,1.2577361079070601,1.0617498397949638,1.513620533386875,1.5947593841437582,1.8549523277431232,1.9067181347853892,1.259560367278805,0.8930863922195572,0.7100459764477108,0.6484558248993024,0.8742297329214233,0.9680866240214252,0.7730031827096456,1.966993046309768,1.2975869828528894,0.667799515492806,0.9634000856629756,1.2868350342909787,0.6150944209143443,0.7367021719012548,1.0681706176033485,1.7837358682232252,2.995779590016574,3.4278806235497816],[0.43940527830788456,0.4824080990282992,0.7064022019213588,0.6387182664610274,0.5949910899738804,0.4841413578327786,0.39311851315380697,0.4311202065886404,0.3864568682463828,0.3678580645701508,0.37707961294940356,0.4365920485243187,0.4035861833603334,0.3895458904154656,0.4249387303935017,0.4001785658007105,0.4489793083616407,0.464203741625509,0.5330254272218781,0.49787656664447316,0.5606149982119507,0.553203961435736,0.7628767262504242,0.9107519321907164,0.8092631991643536,0.6544829257922744,0.6090399817933073,0.5101827407325622,0.4673815991824521,0.453184343964984,0.4552821103178562,0.4472368486216944,0.48091224943881256,0.47477565101481467,0.44307916837024797,0.45278115680729236,0.4808641685866174,0.5446999960815063,0.5598526009426751,0.5984445398838325,0.701835840499454,0.6333007348168981,0.6499019739405517,0.7626025534441798,0.9864959284684517,1.3561796923057496,1.3448758774850427,1.010466341086695,1.82028394974069,2.190887533625613,1.1280944535802342,1.6099210308198462,0.8608656650014738,0.8479253019325215,1.0742467150396908,0.6927540420651771,0.6924941776675781,0.6688668771974263,0.6744959973875253,1.0797914768410313,0.6825083612534752,0.6712064718336391,0.7237728753521475,0.7283267429039655,0.6103923454071134,0.6143727233577967,0.6288331397599383,0.48910694745414623,0.6731300031753388,0.6040092907108672,0.7877623981871359,1.0049749544654423,0.7532776467277266,0.8320510521746847,0.6217331427077546,1.1601551806966712,0.5310162681962994,0.4998217140625148,0.46318562622140613,0.5062405202743357,0.5773463256144923,0.6187169114610018,0.8251990152121284,0.63732804993678,0.701655874915557,0.5371697309305123,0.5482811858941128,0.5242466646367245,0.457526038258787,0.5706024983644669,0.4917924034038646,0.6988874856396092,0.6067965787800957,0.5013753739982024,0.4773368673177546,0.5830771123988653,0.5414880454773718,0.47084787991343835,0.4457820097055186,0.6792226508709727,0.45065354253644735,0.5433253870982211,0.42920579256176866,0.5703919542753333,0.6452601923748327,0.6366077128510362,0.7656935278516844,0.5964496467810414,0.6003095708673543,0.6195047533725644,0.4800470725807739,0.4402635296779564,0.3829451124348631,0.44790439461071,0.43117443003010714,0.5049167640033789,0.5612197997450149,0.5924806759488043,0.7403479471667544,0.5155135183272632,0.5201415249791053,0.5006061259899133,0.4956625437049061,0.42923550851116327,0.4372648805313563,0.46090562690288495,0.4497178554275547,0.518028453734557,0.5098753730999849,0.5314334555085999,0.6695242787028316,0.677975495387062,0.7154387163873122,0.5578381345611603,0.6138814489893484,0.6249770820376632,0.8860824637901524,0.6851225244464548,0.6912199607846585,0.5541392083860904,0.8261526359459809,0.9142812667814174,0.7056757751022208,0.6184372125484342,0.5814697900985949,0.5339718461670091,0.5036409817284311,0.4423016921725299,0.42403205742526273,0.4684587509439671,0.49018444304411424,0.5450499928333232,0.7901714595735696,1.4928101468688129,0.9697455376475488,0.5829977023276234,0.46303555299507887,0.4617529731620171,0.4192711396763662,0.4876726714381474,0.507685049688182,0.4811269133759701,0.49296454362271364,0.5004733438669632,0.5705379373921927,0.6598282335582408,0.903827151588133,1.3383766375836326,1.6990074415361642,1.470743324702981,1.386706022734172,0.7469538953202334,0.6651675621868368,0.5884977582255528,0.4970665319043949,0.5466291144928439,0.48918506821508384,0.7043862127112366,0.5135790294937828,0.6697228725587698,0.6062721365114884,0.6013402508604746,0.7108069346722151,0.8007078904529396,0.8304297534535671,0.7427531507685909,0.6274317414077697,0.9669899102665508,2.3150630712989178,1.161497769152866,1.9391431551158385,1.9184023659495777,1.5436130657288158,1.3320940024980412,1.0099273606788632,1.1030053208034758,1.0993115691177606,0.9171763643370903,0.9700135640197775,0.7442997353721603,0.7159465577099666,0.58674658137457,0.5522049875724523,0.7728582356375088,0.7112790103717717,0.7458527848567326,0.8668441696344172,0.8375369079987744,1.0171961296762526,1.0125007628704459,0.9388096148401907,1.1449642713141333,1.446670365223511,1.110477662109392,1.263993073609326,1.0839877935274844,1.3256898172798675,1.35361132291718,1.1199852589589507,1.0539027650756916,1.1402242852878999,1.39267766988299,1.1537241441412156,1.4149260362611669,0.9673535865062245,0.9345904338747485,0.9024366854645649,0.9270739385534339,1.078996384787418,0.9715571079865746,0.9616151346723456,1.3070685918451366,1.5264037841892026,1.2543685580812904,1.3158760934381122,1.7462780615343434,1.5955296358573585,1.5507416937494325,1.1615621469574777,0.7755325144968443,0.7574332356850789,0.7074137780063596,0.8731055818068911,0.9736000910540112,1.1196796937188878,1.0334706396368742,0.8795002641037356,1.0540819359654883,0.9694580657983037,0.9178694965062056,1.3330716836801757,1.5381493628303027,1.2977810405524328,1.3413857306909964,1.710659931284473,1.8742429396853326,1.493316348425018,1.5047414050671535,1.1841781271667906,1.064988357378983,0.9665618544522518,0.8818203809518717,0.9514354376594302,0.8558068968765755,0.8285399869886251,0.9818687147742472,1.02256485225235,1.0416689152882082,1.2073629358170537,1.62006588476045,1.4187094537851315,1.4490154281780956,1.6355012935311608,1.792670133796665,1.7990805129923237,1.686759975370302,1.949308977929521,2.0572834367132495,1.8137596780113323,1.534551067538141,1.2603640245827332,1.0317592133036388,1.4142248923433358,1.5496371726764628,1.8618341845113848,1.9918221204908308,1.336083399104736,0.9551388557958056,0.7618043868306318,0.5673794816739173,0.7690709280202587,1.0185846634386357,0.7360913809205729,1.834244733541822,1.2029343824535317,0.5864948540775823,0.9092875443443135,1.3054239367774065,0.6120539127905442,0.8215768186389276,0.9155380348494664,2.0428482074284795,3.0722794341098507,3.232426426882649],[0.6709127560821685,0.710401728075971,0.9028053970816258,0.8358303614507164,0.7476572314587886,0.6306284212293503,0.523409339031137,0.5477889771182469,0.4665950166974467,0.439525265226495,0.42439215658645846,0.4866015320405516,0.46173141411449425,0.42520717232041616,0.4514846631169908,0.4373275459902374,0.47304987500971735,0.4761611542849151,0.5419590518848004,0.5138908238692114,0.5631864489018789,0.5598221916242081,0.7802629232816698,0.8932483588335337,0.8437532536024513,0.6582603423871973,0.6318532800988884,0.5520952676733406,0.5163240159371312,0.5024521419602226,0.4674356409844144,0.49078559661497334,0.5197170143964737,0.5015112191841716,0.47721655883061703,0.47725843655290756,0.5456053811542088,0.6068211315968665,0.6219508700852676,0.6924018733502466,0.6915277690390699,0.6679179349206412,0.6988527057207492,0.8037436471529994,0.9837062091360446,1.3602523423056434,1.3681953498323867,0.9977560770876309,1.7972993687105188,2.280100262287875,1.1593519883814865,1.6179390933472797,0.9146982908661241,0.8905630599468666,1.14898410787683,0.7506659305090644,0.7171274395236852,0.7305102474732611,0.7331947188338924,1.1146705370371603,0.7284260309588687,0.6910792186882029,0.7393555742515057,0.7139799814121133,0.6235897982663547,0.6249054407082115,0.6305732100611406,0.49547027665245186,0.66570729639503,0.5916402079618353,0.79087325050963,1.003580894856293,0.7469303295007698,0.8159662233876571,0.6280082392948653,1.1357802610746612,0.5438308388528422,0.5098451933648729,0.4814414797566409,0.5408906409374522,0.6377722078336019,0.6912818332557619,0.8901871050085856,0.7360215420649416,0.7780060440168167,0.6231455922406979,0.6035891575880254,0.5768677432949721,0.4771744288297043,0.599335560636667,0.5044852501121379,0.6906769519917256,0.6011331935777833,0.5078782637496256,0.48995150060154574,0.5863006710526032,0.5463225449660112,0.5081317792274467,0.5032256229523495,0.7374655032766716,0.524340484599608,0.6263924957193193,0.5301744249845137,0.6947718736460762,0.7495785076351366,0.7903843929168731,0.9245810813606171,0.7868372576008379,0.783116554181191,0.700323969160195,0.6417780548468636,0.5939778782805544,0.5148454027510708,0.5477207851342623,0.488702519052037,0.5529569234387391,0.6072884191403066,0.6281471769696264,0.7551298744519406,0.51439966581398,0.5189646775429568,0.5065009557361396,0.5328137140106061,0.4816336200119676,0.5166613455636598,0.5559907083018026,0.5499897881456041,0.658054323198813,0.6872435943417152,0.6741623506907056,0.8791333190032211,0.9113346546594722,0.9278370945725367,0.7320293024061427,0.7799086981672799,0.726089756106522,0.9443794366623652,0.7851093244487776,0.7641162048980176,0.6255617961705424,0.8862543684208223,0.9872523085000678,0.7622355528002467,0.681103721059163,0.6479770381053255,0.591873775022436,0.5730237630172619,0.5118284626211522,0.5233619692628183,0.5609146563043933,0.5947918909022869,0.6190171354348979,0.8766594405804737,1.4791681524922164,0.9664383406821374,0.6521680818996153,0.5448334488615817,0.5622022920890771,0.5062711452508863,0.6077958008056482,0.6162429016185604,0.5647515086587006,0.5804442115039425,0.5863683994201576,0.6650465308848486,0.7267701757734949,1.0025706432025847,1.4431950670989002,1.7880749908339653,1.4950891411383205,1.4131066625347641,0.8008732898984483,0.7366791999272754,0.694881994864794,0.6077684637542159,0.6517151336079154,0.5506578222842924,0.7864091969985072,0.5968776175603392,0.8079805100395668,0.7340938560504022,0.7466821444144858,0.867386728742371,0.9658720097879824,0.9865220295290363,0.8770897276212836,0.7446496973565552,1.0819146260321255,2.2444444943592172,1.2685643645949618,1.9204448243415861,1.7846723882953162,1.5666391686885612,1.4158929260806077,1.190250461129608,1.3259490752314216,1.2752982537228648,1.1695547016262051,1.2117379768026253,0.9749845552956767,0.9701149051448027,0.8178738958285011,0.778474320418121,1.0068042304699543,0.9354786294964722,0.8980542518086866,1.0510116697973078,1.0549964162666408,1.1632419309154254,1.1349599410973563,1.105165305317742,1.3145942975261902,1.5835106889398194,1.2189581478179294,1.4414641684648322,1.2851014528776854,1.5300835701832787,1.6084477660730876,1.3649841215363647,1.302167804796289,1.4341230598102734,1.6279802286420084,1.4112938921979856,1.534447562609703,1.235320775402963,1.1965671858300369,1.1346487061809671,1.218641843984489,1.3995533460462646,1.2720663748148096,1.2573498991505851,1.6215710252638118,1.842358555353451,1.553751091240831,1.568420801819733,2.0754985664417362,1.8784073201965679,1.8047969873612928,1.4250355431402386,1.0373721429240232,1.0297008518346829,0.9240268326667646,0.9652286594109166,1.109687201568142,1.1220214630949623,1.1083547452647455,1.030901361106913,1.1494877966750054,1.075493695632881,1.0392399236123497,1.4294174840706753,1.6155053261220607,1.3908816772593058,1.481808225869012,1.842352279015611,1.9997971235392469,1.6485775178453344,1.6853312705795311,1.3709381600040753,1.2569767847680815,1.1439184096675308,1.1173824812236843,1.21485703964068,1.0944630939626132,1.0929614447212392,1.2786348057903196,1.2987080902428483,1.3167128715494159,1.5248194254402099,1.9187939964586955,1.6826042134246375,1.7183186961439592,1.9510538499348724,2.074392862520338,2.0859652570754412,1.9752226364243024,2.30481425023328,2.3772790062287408,2.140581016682338,1.7730683752913547,1.4827432741032616,1.2590768524315405,1.609794926637367,1.755493156245256,2.086444494299564,2.1575353044008656,1.556419211402729,1.1318450967510822,0.9804944725054434,0.7098918226409928,0.799665244325455,1.1008797664157972,0.8225023311172784,1.7419831171530338,1.417777326146612,0.6868903793131174,0.9958621355522571,1.3678586503795322,0.8032391895858464,1.0560029702525227,1.1277902848872388,1.9446146472067392,3.045318905614748,3.411135735442828],[1.0101831461520117,1.0342823179894471,1.1848665287050457,1.105659257574068,0.9985428031857928,0.8811025164399058,0.7643478631134967,0.7325997132356175,0.6454101170913984,0.6290898469424104,0.5630886403828278,0.6194481757787487,0.6276991465816413,0.563124652234952,0.5634697502714495,0.5764250029286614,0.6038082537593455,0.6004865953037465,0.6680792285146122,0.653470604625186,0.6537996182527744,0.6820288907622707,0.8706666364261182,0.9740468657662763,0.9967564453287477,0.7926075061316739,0.7798884555488386,0.7269388560914042,0.6871713741278199,0.6626849577042191,0.5806594465876372,0.640977401395525,0.636244701388708,0.6216676225813671,0.6220451178757378,0.6200933934325608,0.7233395110870731,0.7957208703997721,0.8281223754357385,0.9206653811891039,0.7871523064885136,0.8310495211612424,0.8830364111538269,0.9290985649546599,1.0572906899389958,1.3809353029973745,1.405926713524343,1.045563319726111,1.8112281414238554,2.3550694855283276,1.286029130520055,1.6497202042147299,1.0965734711318724,1.059120417149848,1.3122554385739023,0.9386467496602986,0.8476045781482198,0.8990391237254008,0.8926210495882981,1.2013475065006647,0.8596823764780732,0.7928164801663281,0.8301404221568663,0.7958988096973872,0.731689502732717,0.7162123663919484,0.6789657749415018,0.5908915388611792,0.7036206769683364,0.632330319438512,0.8141381479085182,1.0066520216635,0.7538781571748008,0.8322050644459892,0.684093096828974,1.0539631204330158,0.6482665160524883,0.6074352430718134,0.6050586891795718,0.7045164837977843,0.8148126319116907,0.9017490846500074,1.0784819475790792,0.9514870148898245,0.9542027579702586,0.8377093191967062,0.7930061258506191,0.7375952542430758,0.6283608901384358,0.7137529589152828,0.5919282091551819,0.6926762920396299,0.6456520687944294,0.6095075666618404,0.6034098655359631,0.6553526544742652,0.6233838541967838,0.6285017288030247,0.6438870390914893,0.8607208021148738,0.6729636286139944,0.78036451899011,0.7359998564590609,0.8899950725174703,0.928263087055842,1.0381372011834762,1.1861008886134115,1.052208447611553,1.0481307296216764,0.9472209825143961,0.8997823452885748,0.8495838136424908,0.7669995637867243,0.7737834550663221,0.6855841797326371,0.7576760819424875,0.7973019686385812,0.7989463534612173,0.8431153707737635,0.6273311786178536,0.6266258236743666,0.6410417136632635,0.7012138581603837,0.6771391454970843,0.7194918515154358,0.7910241147931337,0.7759099180835303,0.9139902329032388,0.9658579851977784,0.9305708094041726,1.1844561081059073,1.23934487804654,1.2265534822678623,1.017305016057279,1.0480862135604736,0.9163823904323909,1.0156693297445545,0.9884019791082859,0.9778562188368938,0.839929486100673,1.0822518943482193,1.1617150424596812,0.9467299241606993,0.8890557434881012,0.8593186315086473,0.7881020964231842,0.7841554878911804,0.7103458762611,0.74923495609325,0.7412597855484809,0.7824856979445992,0.7577234404170122,0.9829723786591048,1.481565488036885,1.0423754683231565,0.7888096414589534,0.6956832577653563,0.7481524476593852,0.7008924197515618,0.8331740017532188,0.8514267345454846,0.791182844042773,0.8138106348463592,0.8044080705966209,0.8391183314802424,0.896637459305319,1.0976394901929856,1.5160283184405512,1.8061534795473642,1.5048529474961045,1.395716836316126,0.9234791199954172,0.8671852756958273,0.9342398184700582,0.8409057460868417,0.8825105596908153,0.7383002566467155,0.967148878857155,0.8275462633081611,1.081274897987858,0.9738748047817892,1.0139175615626281,1.1492522451082545,1.2432333409594636,1.2609792121749883,1.1301227050704075,0.9803941955729395,1.2305107296352966,2.166326978838389,1.4581507755846737,1.921344866605572,1.7039419205898925,1.6533620303741514,1.5698631000321506,1.4422968379299956,1.604092435209103,1.5378868213407142,1.494791970491294,1.540620357853164,1.308064339998378,1.3151533437270084,1.1273917901877928,1.098680497415012,1.3497628452149286,1.2372071309156454,1.1129075644671123,1.361165741458098,1.3571927980379221,1.3068516218052946,1.2464277781491615,1.300907595191959,1.447080872283948,1.623292218923155,1.327983314344348,1.5686255457078009,1.5526165723153837,1.715221868227341,1.9521163967940964,1.6882705207716262,1.582352583936288,1.7512508304050503,1.9106849174194165,1.6796751055574102,1.674393741235771,1.5361370024043468,1.5091663585000947,1.4633448620186986,1.584427559662542,1.7664808748599972,1.6437056686709248,1.6237861108889036,1.9753813181873499,2.178843358487147,1.908351815266505,1.9056047981025506,2.400123099370401,2.210513181001355,2.106620160347906,1.7735424382939677,1.3830356718670043,1.3767700206076985,1.2334892498877423,1.162852385739307,1.285373012444098,1.1964277076098349,1.2190114476371006,1.2364830483900329,1.2832826134235307,1.2324608196318314,1.1956534914928685,1.4874088959069491,1.626975023651965,1.434731041066843,1.5632070773427864,1.8793421832973256,2.0006448983514797,1.711351775727523,1.7810043301959142,1.5276075335796888,1.4292495260618334,1.3285947871404429,1.3738068833848982,1.4850671743978514,1.3645286529791938,1.4127579350702908,1.6165657973294838,1.6336732613627583,1.6648708196129678,1.8899728747455942,2.2655536528618705,2.0304411402003173,2.06220576290659,2.299743627185937,2.3997322009398117,2.4355129569495513,2.3431416004286776,2.697763172171675,2.7617554601406553,2.512694364260689,2.1428430777396485,1.8242670849903175,1.5706192197799116,1.9716767631477723,2.108913675428257,2.429619920546168,2.4607651355885936,1.8957878025890877,1.464946329835323,1.3071693556410229,0.9766779458088864,0.9264885630872841,1.3857789492901755,1.123525079578102,1.8482760006356114,1.7701322950149816,0.9282850981308256,1.280673330519509,1.5780766329348888,1.124547852800129,1.3551310532779939,1.301038994194253,2.1468161167737563,3.3046362203307584,3.7795925928133296],[1.0282357104406386,1.017780917073226,1.1025631516991066,0.9517469827112028,0.8802665609099276,0.7517291255944445,0.6115424548177162,0.6257594100460551,0.5059620142939468,0.4586981343133772,0.43631258892003516,0.5297773247042549,0.4803123264107391,0.4017876648684393,0.47363623996061255,0.4509670786824121,0.45390973518022504,0.4567744999480017,0.49045075295681073,0.4856367318243779,0.5091805670690933,0.5362573113025755,0.7216556412014586,0.8374416254228993,0.8385077658875133,0.6152111083967525,0.577834197532513,0.5182328055596211,0.5055537217178284,0.506594145019419,0.4791375803379338,0.5316079817842647,0.5482057890602683,0.5153073667669733,0.50121713689803,0.458978001653744,0.5645671411900703,0.5999920117146065,0.6143575902877613,0.6952113519834718,0.6152752649476889,0.641896111567718,0.6773138625580395,0.7526280131530159,0.9057008836872855,1.3543800494827098,1.3475487812633342,1.0018481309110212,1.8842958213478604,2.413772471368372,1.1785823441350591,1.7018620121083006,0.9266650320318496,0.8607901446814539,1.111279324999413,0.7536765763394601,0.6912725577511364,0.6841255505303433,0.6945206654736799,1.079978618454624,0.7050419766247972,0.7096358768044421,0.7623935771379361,0.7141795428466382,0.6127568786380113,0.6130666138603322,0.6595426471845762,0.49938315632646013,0.6509492721779252,0.6216458723348998,0.8093991716620293,1.0142371078360626,0.7885990615805133,0.8361378966580925,0.6183419618638801,1.1031252360816306,0.5216340970780186,0.5066065887759519,0.4855744655664218,0.5304986613609669,0.6485798005199658,0.7150472019113597,0.9224274918674555,0.8059969077264015,0.8142562549852236,0.6639705124598132,0.5942939209949689,0.6065484415154689,0.469957031842962,0.6011644744091965,0.493232207705143,0.6833816075933549,0.6024122618085824,0.5436512275634091,0.5220587160988343,0.6018844237467551,0.5629292972676821,0.5509533267566394,0.5657051952254831,0.8045538894620439,0.5933313802924952,0.7056521222224064,0.6300451802344464,0.7981582807861343,0.8440860226497512,0.9129207237556389,1.0885718051687117,0.938740687011533,0.9467131853272674,0.8511060536986449,0.7857865557951114,0.6989127747406387,0.6086058171638847,0.6002898558804151,0.48975388456395935,0.5380566185884907,0.5965643985895739,0.5482715869544379,0.6345714282395815,0.4811083451093033,0.4713159307820514,0.47521608195240034,0.4931618326879327,0.4698804075277061,0.5212829004878218,0.6069202222508239,0.6566382840062789,0.7776044361296985,0.8474609890559144,0.8148617597314857,1.0707169318723635,1.1422124761658645,1.092769412848976,0.8925870304706479,0.9091344387033854,0.7970834706348676,0.9810407324138882,0.7912860445287087,0.7491304926065371,0.6337209596865163,0.8339121573833869,0.8804215250259648,0.7057512690430223,0.6607242883667169,0.6330131066145703,0.5773550095268835,0.5728980601109617,0.5388509321894598,0.5941392704094535,0.6022692181442449,0.6821469336273258,0.6645053403277553,0.8999332768691096,1.4030631549148762,0.947952712366272,0.7097292264081678,0.6035526619733448,0.6456781800878911,0.572033863871218,0.7041972412724867,0.6764780891576745,0.60054466373996,0.6242764285165868,0.6389962766682028,0.7391895738202852,0.7341249994676033,1.0724639569423144,1.4814694472050614,1.833041271487298,1.5193045993605003,1.434955918701856,0.8404212350293114,0.8064964823797195,0.7714755248766316,0.6804867628452851,0.7381297765206378,0.6223028144221727,0.8575811051669774,0.6864682784298616,0.944765365514642,0.8364796381518338,0.8669923226036829,1.0044461535512712,1.0998124850237883,1.092597874572804,0.9618817648409944,0.773079308449397,1.0879276964933176,2.142303586879751,1.3647705077971417,1.758914271742537,1.5904322638058566,1.5048392285941254,1.4387263911878494,1.2936899482983406,1.4717532330008984,1.428790008914319,1.3894474386633158,1.4683380546909102,1.2458593653327907,1.2789273904502976,1.0843035924832287,1.051364448152468,1.3367534998188422,1.2155492190181731,1.0771061146512853,1.3883287718116797,1.3653088749276745,1.257915264298883,1.1950829540679984,1.2899264755110438,1.383722773533567,1.5305050879518314,1.2790906634402017,1.5214001145165659,1.6297191670303535,1.71227450570618,2.078412362754027,1.756568440055524,1.6047213126286786,1.7706235841813895,1.9943161272632508,1.6633395479434168,1.6095389741540498,1.49982313310791,1.474240251295059,1.416614167517049,1.5256845009392728,1.7297279846821108,1.6114160159646682,1.5699144509426064,1.904328909037261,2.1306368932410047,1.8532649911608083,1.8470315353438764,2.3005854259484515,2.139459686055492,2.011464485694876,1.7252330884660179,1.3103142416679383,1.3146429100323482,1.1990887869153564,1.1231617336903175,1.2545225606071442,1.1635577735773794,1.180816063759443,1.200902147581001,1.2641729923401235,1.2040118891817584,1.1572761855775697,1.4476471467452867,1.589871324824766,1.3797483726112225,1.4970256939283328,1.8095541308350487,1.920706658558598,1.6171259077415814,1.6832114734016281,1.4683605439393368,1.3807886207991984,1.2877605541498944,1.3420237330340523,1.464489343224917,1.3552286356117684,1.4043442404405004,1.626536019301996,1.6629668385824579,1.6716898897788097,1.8841626440237174,2.2998886540790813,2.072642195191819,2.048868593926667,2.290570773413243,2.406041899441102,2.466255591654722,2.415797896442939,2.751558260676031,2.849234177723029,2.6213090970491644,2.3063767757958686,1.9415911014096088,1.6579133110358393,2.155717310478043,2.2364045209324184,2.520414769544552,2.513950939439999,1.920458538576491,1.4810320791862477,1.2442798102692099,0.8721622546122783,0.8797446663581782,1.3373161551468977,1.08494428025608,1.7975097839357133,1.7518751626857012,0.9044125959188493,1.2727966897151057,1.4944705763097095,1.063921800796087,1.329953405531972,1.2724498101812205,2.1597453036025707,3.3048279761881383,3.730394832657881],[1.0410798147151676,1.02998804392936,1.1073244740829369,1.1494971792011264,1.102701306824481,1.0349545779242986,0.9600390281201298,0.8925750241488786,0.9039782733084314,0.9171210597332976,0.8723305996432897,0.8753075229311049,0.8878798037669818,0.8705273108330602,0.8542358718978382,0.8483746856043846,0.8911175721408399,0.8950375662689197,0.9529189320523105,0.9215033639059769,0.885458319073549,0.9142902996711634,1.0774097033435444,1.1067126146431,1.2044045735256566,1.0390987711827115,1.0207545791010824,0.9927531627732903,0.9567565276404384,0.9137125155547139,0.8506516253804888,0.8767978052654605,0.8942587315873357,0.8888171172537707,0.8855082287339263,0.8852868143067198,0.9368148456364694,1.0096858256338157,1.0235852012507103,1.0673393376111135,0.9008621717007214,1.0917695188557046,1.1201569179238848,1.1109369208079818,1.1773332372425143,1.3614028604995148,1.3874476039580859,1.1416962265343182,1.8765002230841141,2.3515910083770715,1.439751173708283,1.6709881918720624,1.257917426071322,1.202373666710231,1.4356736449338492,1.148475947404877,1.0373498184306136,1.1076159660407328,1.108484150933927,1.3482678996070876,1.0594892035642671,1.039785632869573,1.0445845140094185,1.1042239593805836,0.9818375444340108,0.9461047219290267,0.9191784022934955,0.8977764382477001,0.968683544309281,0.9057869923535609,1.0508662207597526,1.212257955796632,1.0011814572500397,1.0774380764895144,0.9618951836299641,1.116835705065682,0.9293703168866425,0.8875924393830131,0.875182115868646,0.9473772548237561,1.024149585838325,1.0763757499262339,1.2461841513624308,1.064524422202757,1.0698103398114682,1.0172586654171794,1.0049269320879712,0.9328508711618725,0.8902874333070925,0.9982430801094284,0.8751305402413222,0.9114512443458977,0.8756089487572912,0.8804044178540096,0.8782371751589457,0.9133412612121476,0.8839257601130038,0.8809408447531686,0.8861679176233649,1.0362642416929826,0.8784561908284398,0.9163399650568512,0.9072336007510925,1.0012709324644982,1.047127927475468,1.1109035068644244,1.2448944429628523,1.0235984686433148,1.033142682214087,0.9860250236910988,0.9542687388096481,0.9602695961782335,0.9342470906792483,0.9711026908330491,0.9434082380807001,1.0025660527516471,1.075278194462625,1.0524471886284108,1.072917771926084,0.9369808542277462,0.9479809557488743,0.9584893025284453,0.9838525747786019,0.9587636504214208,0.9684886885561901,0.9836866068475094,0.9584869004612823,1.0275714073142952,1.0330192232904438,0.9795659213868421,1.2051452180523352,1.243556780422672,1.2123441616828694,1.0493239337189249,1.0867188216244608,0.980282545412004,1.0604079961703519,1.0779930682684753,1.1337097700183876,0.9923049836013725,1.2474685178102503,1.2734326794393467,1.1516223878874021,1.0958572430623723,1.059265988888503,1.0114800223681482,1.0065245843313027,0.9289691458602739,0.9356142582539442,0.9114918680829917,0.8994231844975639,0.9048316820481896,1.0905238181566115,1.5632888680631383,1.1726195201532874,0.9431894877319207,0.8704981611157336,0.8907680038731762,0.8937427260361364,0.9624710541708741,1.0077534538865158,0.9781747270224822,0.994132352758139,0.9849890425421601,0.9645034774170834,0.9926781765610316,1.099183896164325,1.4686008546387546,1.7416153593099888,1.5188794529314407,1.3855654095560954,1.0084401035973491,0.967672333656695,1.0705679359175269,0.9839532708786918,1.023526458317934,0.9101813948964281,1.0933053324455597,0.960791031368737,1.2256555782664316,1.0743038476762325,1.1191968746794538,1.2146440422317875,1.2861657196922878,1.298560773710225,1.2271088510283625,1.100752211734765,1.2522168177930753,2.0999411748388996,1.6138144309919995,1.8476627544436615,1.6231470163652328,1.5904371248141262,1.5375947533608305,1.3775862747014884,1.5134335194047703,1.5091498043940834,1.4017843810623982,1.4607255282618972,1.2761765812689414,1.2035630505432722,1.025353613014025,1.0672718278693567,1.2881789595667865,1.0819578530886451,0.9874003545461246,1.406748555165414,1.2409291990692373,1.0921464060542931,1.0470833485261641,1.1530299309069358,1.1580705309856487,1.2893992936828864,1.1186272969730908,1.291999946942735,1.5182703020869857,1.4637917585945568,1.9396294497321052,1.582399394527325,1.3669496773331686,1.4984359126219207,1.783197023016239,1.4132292449418051,1.4643249656089272,1.2402212123049108,1.2362660289664968,1.228139608738856,1.2757017098805832,1.4665424195134231,1.4114622030792427,1.3725792905401428,1.6784673909222396,1.9496434075327747,1.7046577712494975,1.72942745006021,2.1275939857243267,1.9903521801914152,1.9406256503526549,1.6498682080690823,1.264698926820857,1.2042341049439877,1.0582411063763197,1.0402199252117335,1.2025603715219604,1.169703667593803,1.1309587389655607,1.1059335632655012,1.2583936705314172,1.1834430847609674,1.0726082558983152,1.4141284847211388,1.5677442114365965,1.2740650913799412,1.4002479825421983,1.7751627327273143,1.8261987391248535,1.4555375902521581,1.559188855716563,1.2805994251620223,1.2138591356437933,1.1435137504198778,1.132801416562913,1.2140917554743396,1.1469047217985422,1.1962811791284287,1.3764811041961325,1.4417977679054943,1.499723940246139,1.6387772198675854,2.063178519382171,1.9101890867599916,1.8852242940956867,2.0780751779943416,2.2059486487411846,2.321926294801225,2.328697801698826,2.645878876725712,2.764089121521148,2.496325821949542,2.2803051148893005,1.9112960680916389,1.7161759209755993,2.2749367847697712,2.326144763471374,2.542384596020801,2.5763284217677405,1.9187210769826737,1.641172510687609,1.3211543213971308,1.0359395665868714,0.9489106229804998,1.5318361106990404,1.2033197086376057,2.0445258867189415,2.015130928387893,1.0499753874858178,1.5449124331056052,1.715823245668286,1.1897086385200015,1.1957710792539422,1.1043808585842316,2.2473598236212773,3.437062059242583,3.8875777573381685],[0.8984227546894682,0.847790509689952,0.8661541290504892,0.8518146942887999,0.8302610878913129,0.8094560021662055,0.6819388629745368,0.6499117814889099,0.624785042954412,0.5997928856909727,0.5878476187630761,0.6421170265507472,0.589139281003003,0.5634848157887367,0.6030308513615743,0.57505788428065,0.6012681371426296,0.5931769472451414,0.6317307615348858,0.593606493006333,0.591044511941056,0.5960678368602557,0.7804448398220516,0.895140989318853,0.874226895354983,0.7164770897068936,0.6821253177466832,0.6482010248395528,0.6365187163661056,0.6282085329446814,0.6100957288041482,0.6422904638628717,0.6870947192147444,0.6631286241052147,0.6400926270483712,0.6094199463470057,0.6604376414294125,0.6676245613332211,0.6794552151898102,0.7281037047199023,0.6890401476302631,0.759194590987437,0.7818256102805404,0.7692233804401212,0.9434779418478819,1.24258777223744,1.203227743073553,0.9532880100826199,1.8516232453714605,2.2130713938464166,1.1557647444199746,1.6032781002362524,1.0000817269312692,0.9069642497028667,1.1599414635051686,0.8399349365433189,0.7534313854188617,0.7973230913076786,0.8367132710012003,1.0512039149320216,0.7620580805610586,0.8258787764506244,0.8715823618763517,0.8993655080140304,0.7060838524337731,0.6884917233325559,0.6943881065029688,0.6203063288059527,0.7541668885140549,0.7025469326327135,0.8569216290650246,1.1101579620579654,0.8712749310015898,0.9282415118154588,0.7351743050513503,1.1665200909756288,0.6684779310154161,0.6638050553658664,0.6244500524107651,0.6771669045226584,0.756336071898985,0.7915983772485569,1.011634701095854,0.7998939666419165,0.7606346245119261,0.7167872495751934,0.6881658987761611,0.6908224915239604,0.614024917717944,0.7656426973350728,0.6475579711514404,0.7891060856695982,0.7109443390770444,0.685105069923926,0.6626322323725805,0.7232988217776981,0.690867430921764,0.6630918666884269,0.6731440692534436,0.8832681378574022,0.6902508671637884,0.7492772953405721,0.6830727876045246,0.7919130247732625,0.8707841632104478,0.8646915003411384,1.0755422956310203,0.8005401786582736,0.8279459606201753,0.8252728454725741,0.7370615842603102,0.6859975368185882,0.6445029588174257,0.6626509395556235,0.6272205229772269,0.6603300049202557,0.7333047813698647,0.6991600009285678,0.7572103516386571,0.6369170588430156,0.6369924077509057,0.6303555484996268,0.6418309052235358,0.6199073219726082,0.6495368312342337,0.6649391109172764,0.7457409685472485,0.7498948716614408,0.7740276040827662,0.7289994868848281,0.9286380879252896,0.9882399557115938,0.9201187282317331,0.8008462792305013,0.7925417454047451,0.7147074602819858,0.9421004483973012,0.7877315780509304,0.8218210016518199,0.6721530581300309,0.9405714814083457,0.9399854648813909,0.7892967859186296,0.7389125038873132,0.7015417961151172,0.6724929565999924,0.6638421628700626,0.6278431888756209,0.6500934504631438,0.6476774480872899,0.686253914939238,0.6917444313888156,0.9810534541203985,1.5050785137724831,1.0209065342541095,0.7681260856070714,0.6582132351763957,0.6866332338741252,0.6420304781210887,0.7066088378968123,0.704524493268516,0.6753090207198672,0.6601448550147873,0.6599975901691624,0.713216653809119,0.7380028687031992,0.93890585401414,1.3152310145563615,1.6595721110331505,1.4510198534702994,1.344238531777013,0.8230500073292686,0.7878200347608184,0.7702229527961092,0.6827937389893446,0.7509340948601679,0.6478276512784287,0.8601906652803677,0.6828205341317602,0.9539564339228044,0.7635047284410077,0.8421686963921631,0.92185544268039,0.9856662205137092,0.9819956305364371,0.8974838052990508,0.7480788619773879,0.9672020698389973,2.0206620817121848,1.383727332308402,1.6657362073773117,1.5119207011793148,1.3595371294621998,1.2877135643344972,1.0742673640237301,1.2126691475605267,1.2693653013565422,1.1151833008655145,1.2082561354205574,1.0461390246939257,1.001378478105468,0.8445090787003974,0.8739177936839295,1.1209350607480915,0.922380166727906,0.8283982018686565,1.3064383690249017,1.132917839299169,0.963450453229179,0.9154237734181486,1.0989304840829095,1.0358096038207467,1.0810760916909743,1.095859841767434,1.2829517995355972,1.5619563971669568,1.3931659984834819,1.9445368925726734,1.5376217859490489,1.316368566121697,1.4111617939230314,1.8255215867957162,1.3541642913272907,1.415840176748247,1.0825664035135185,1.0904474288369073,1.0988086132369883,1.084617077808118,1.2697252376908643,1.22177397813185,1.1610669956064534,1.4327829927038702,1.7435796053933432,1.4760116706341724,1.4974110015479514,1.8569307936611772,1.734998113019464,1.652373130089345,1.4165436311347603,1.0084274949975867,0.9787561032187928,0.9057988066385727,0.9949612266008481,1.1785303483156664,1.228826020856614,1.122427334443819,1.0447829102331534,1.277460986105393,1.1447476182436827,0.9987107443027354,1.3821664567328675,1.5356384457215797,1.1806987828139255,1.3127544149102028,1.6963028534379374,1.6837992038029261,1.3007504610387393,1.4267706518549343,1.1648510406838541,1.1178216364148923,1.0525613528864126,1.0193552052939516,1.0940726492177328,1.0271888231744515,1.051916852013663,1.2414829118189528,1.3340802870490318,1.3438819864520772,1.4613753971962136,1.921700907443462,1.7820341347319217,1.6948404084368447,1.898053401976463,2.0717602090206655,2.1873415242435055,2.2210262813777213,2.5233371119572405,2.6625790196219867,2.456958529339874,2.2650928780290673,1.8752379656339806,1.6923524789192201,2.276793376266909,2.262196240619921,2.434897830196719,2.4443947014081018,1.7655161421465801,1.5094083667837506,1.0930938296904145,0.8016808849076911,0.7986938308745147,1.4472560991046286,1.1876081953425672,2.1214059185704035,1.948669651726473,1.0907582290734161,1.6203174168962535,1.616257112791275,1.0397838873283622,1.0230134674869857,1.0280107187141339,2.320487722490296,3.55478122471596,3.9942018385274833],[1.2707761521677805,1.2572616530588807,1.2871784962523998,1.3730499325541352,1.395758718699772,1.3837529096484307,1.367330406685543,1.2555604117028893,1.361385539215881,1.4190535718262232,1.3943955615165464,1.3642021156558615,1.3869759630874594,1.426555040582895,1.4027162103266784,1.3626716720388536,1.4031703904690431,1.4158773582346693,1.4926144833416612,1.4275386892103643,1.3848076695833156,1.3976498070650436,1.5729792479610951,1.4966856531150625,1.6435373073619557,1.5244861514033414,1.4851370096398246,1.4799851998240126,1.4446197378627574,1.3905234661661308,1.382593016723583,1.3480984108791056,1.355303126661783,1.3652987990274317,1.3539960337930739,1.3797984493763007,1.3818930965024339,1.450843557078325,1.4643470072030444,1.4678947888919998,1.2910505236553391,1.551534330586989,1.5644927272200932,1.5396695289320046,1.5521967631974478,1.6031838115319819,1.6394330153359846,1.4157093078922085,2.047646523870449,2.5193687191304353,1.7786227824015748,1.8738917285986834,1.6573044379775541,1.5948748275594253,1.7418045443644645,1.5872623821700338,1.4703919752224286,1.528303816213957,1.5508365546183493,1.7487004130368589,1.5220408761190503,1.516367156349486,1.4597660167457438,1.6031098743831353,1.488784145303493,1.3997369878888823,1.3940381509843764,1.4101220034372064,1.4762035059144947,1.4089914165336292,1.5139830547405322,1.6635926044873115,1.4702397263792062,1.563119259994095,1.447493321642783,1.4799709234400973,1.4129159796399597,1.3910954263212247,1.3642070126009285,1.4229735061765356,1.4382993924595768,1.4603525995600977,1.610581906049311,1.4210755978435972,1.4151467601642445,1.4121433037523365,1.4192599547819937,1.3614241039376824,1.3781977907595255,1.468918438997841,1.3743446171169977,1.4155183214434939,1.4038712442297405,1.3844317683478515,1.3884386287946773,1.4186582996789034,1.400608028373338,1.3462494461956445,1.3425206932015383,1.4150866967110463,1.2906944965112523,1.2377790911989748,1.2965025760777127,1.2973883778690574,1.3865315035414936,1.395270447896974,1.5180814533909823,1.2880092835178225,1.2945041281556664,1.2581412259441525,1.2633238617695248,1.3236176507896558,1.3284520326798779,1.3935886218374798,1.4187205518782064,1.4698405947248632,1.5782313517796451,1.5509353594910438,1.5744796966413779,1.4713638907649333,1.4985667301258487,1.4912236337655578,1.4938372427560451,1.443182660383902,1.4236194906434814,1.393871733614737,1.3385841386562316,1.3791573758011066,1.3525048776315045,1.2908125184538815,1.4618944858667882,1.4912914340246293,1.4679065640025748,1.3558706868087964,1.3902366721201485,1.340805524818698,1.4128045548509909,1.421407290966161,1.5054562873155348,1.4266098947267025,1.6684870216336467,1.6846258136407315,1.603180583563988,1.529652309175996,1.4938760783827831,1.4668541728059352,1.4557711835011,1.3649407800791689,1.3441132136013325,1.3172334147280935,1.2305231543905988,1.2450029942690894,1.3380935862913408,1.6593012133018041,1.4390871689044205,1.2715486436960097,1.2817114446050908,1.2465015017967582,1.3210271722566094,1.307829425558509,1.3881118156400964,1.389543312409883,1.418745068860033,1.3996580631932056,1.3890658624724497,1.3917113584403509,1.476682045196869,1.7933167265075507,2.0281976096251073,1.8539425937824414,1.7059593100517185,1.3980283664424924,1.3524846827367139,1.4186926194638398,1.3567242856781156,1.3774439344667595,1.3025989897903005,1.447205035289004,1.3307601248649703,1.5539730458529448,1.4267566113169718,1.4265014829105032,1.4896580720609385,1.5391162647380192,1.5397836949708836,1.5330724272815137,1.4651674124680711,1.5938449943944517,2.2541952194342287,1.8959006151279223,2.0173554089804595,1.785405984258119,1.7788443342238334,1.7388644698570457,1.5785133436822893,1.6691690825422347,1.6876410069821222,1.5933909571276395,1.6340463529267062,1.4917710559767376,1.3844465681404141,1.2484861648076864,1.3220220073390139,1.4896475017327089,1.27465353121252,1.2162032183572906,1.6541760677931752,1.442140551907091,1.2518517462198302,1.2528044553766515,1.3760982784638025,1.2979048338055097,1.357061212558738,1.362761250193391,1.4562104432078327,1.7331487883503562,1.55398133141213,2.092425551546205,1.7251706687315287,1.4992071380071454,1.5872413477451812,1.87685878688354,1.55369953011313,1.639409369273242,1.3602053574167754,1.3480126163668518,1.3569165130666776,1.3639057660019382,1.5671387898876248,1.5433721783966758,1.5075877360852674,1.7420123697174272,2.028621843674404,1.8132560479004034,1.8339754312101388,2.173349502445881,2.0340826511879286,2.0143216217683824,1.7759592278605636,1.4379718371873644,1.367292935443764,1.2385641726160097,1.2034298183108325,1.4260564502860518,1.3214556268094033,1.274863575999253,1.295318250853578,1.4800821093023764,1.3972283110006605,1.2719502933847626,1.575888066547463,1.695423463944578,1.3885533921272422,1.544216805862164,1.8913531585285912,1.8562216159930016,1.5414607311007162,1.6836335948442729,1.4064402773680946,1.3794591916662386,1.3213242381280565,1.3007495422988293,1.3526340849128817,1.3061239768198918,1.3405422262038662,1.483922262352713,1.5546548752316336,1.6200552870048655,1.7087732314063195,2.0892551617192905,1.991422083351621,1.9550063825363007,2.1220432712110866,2.250984983549675,2.3859553582355026,2.438514479468607,2.7770755725036698,2.871294831468582,2.637713684738362,2.460789697968522,2.107715691427985,1.9996927684160504,2.520466940470372,2.527234918730463,2.6776629977535706,2.683110943555629,2.0777279478745423,1.8984508890882037,1.553842441647554,1.3476985737431295,1.3013648382814234,1.7721039304877901,1.442905093667515,2.2157526485463337,2.3393185640268457,1.4815870788893697,1.9350334618071834,1.9564181149300075,1.4515156911594207,1.4069034465558534,1.3349732652427226,2.3266588305016547,3.515450553659826,4.162407785718259],[1.3040597536042222,1.3210244715054595,1.2765079549072984,1.3178092095864273,1.3251213759119842,1.156205783377535,1.0872909201829515,1.131745280164,1.0910899761887256,1.040536294033637,1.0389267023326159,1.1533934583685455,1.0583935068471875,0.9882999868465135,1.0430644088602503,1.0634063408093297,1.0244000834773375,1.0133492118037963,1.0153971043302286,1.0124183292039484,1.0038631492387358,1.0236911981039818,1.1173038129803043,1.1518816492125554,1.2217210117891,1.061100190773846,1.0790003572570896,1.0524575572399948,1.0559350734162607,1.0642192977517544,1.0542359819061022,1.1535520503606773,1.1755158646504347,1.1427025143656482,1.1132633826155869,1.0629798589779131,1.1118187052917674,1.0963233403808976,1.0950001080213434,1.1303004950511282,1.0767471980495427,1.1610086564119921,1.1734617060153427,1.1337098189164576,1.2480016457468872,1.4296727773827296,1.4089611527304384,1.3114490795006015,1.9632911448601353,2.483814167342848,1.413204591279861,1.815296224898429,1.3602191913019535,1.2304324753162206,1.4947329264277223,1.2430717634170911,1.1089504702537352,1.173517426657567,1.222461234826721,1.2911088429280269,1.142603235704703,1.1496616246217328,1.2726553992427985,1.1808733643707099,1.1047241825537981,1.0757607535152305,1.087076541497591,1.057916047563403,1.0909426226830645,1.087970123317296,1.2161955142370258,1.3738736305489123,1.216499240762211,1.2041816314918086,1.1249381007837616,1.5020136490991696,1.0745015598701602,1.1159004766183482,1.0906908197261544,1.1297535695838385,1.2028074394757895,1.1858935895642786,1.3347865358866218,1.2018404261511122,1.232984124037822,1.1571304233986168,1.0974208526351483,1.126815142618385,1.050985706584475,1.1660935789182025,1.1171648411072357,1.2177941878929255,1.1683004452572106,1.1817454521193351,1.1281852131769303,1.1585189888964802,1.1372910671162653,1.1669086449660242,1.186521647766272,1.333570925427541,1.2620860469130295,1.2648139864988626,1.1956140320108768,1.2062025185469243,1.3154633419528152,1.2695825455706848,1.438793898933763,1.2844470265275667,1.2875640070456156,1.2457218253144149,1.2024220783974855,1.1508778052175874,1.1047975756541815,1.1289164778953298,1.0584017998354192,1.0822652203768675,1.1420335221908546,1.1034898129708601,1.0872215758362846,0.9999089091320907,1.0075063582224881,0.9902952564177159,1.0255214526908762,1.0155677240827676,1.0565088210489597,1.1290137907844455,1.1650471617029998,1.2468537544447713,1.2881246738115373,1.2628463011439504,1.4039120632468058,1.4562359351009648,1.417346031474783,1.3063858306359546,1.3153079391869653,1.244336624915168,1.3236590628661324,1.2668228440133122,1.259634071023671,1.1686080518586268,1.3428799851392998,1.345514093637362,1.191904351921792,1.1633231602882317,1.1453470357490905,1.095386718709498,1.109824889339811,1.0719607894001404,1.110582754491724,1.109383180471364,1.169362925195123,1.202004955298519,1.3720494969732933,1.6798005295027667,1.4144243845886642,1.2792788147709526,1.1829077396218697,1.1989633610664883,1.1365777450008998,1.1597816246472161,1.1617377671627127,1.1285065372844258,1.140755689221065,1.1570514513204608,1.2677753503887992,1.225026828856743,1.4663024069673338,1.773359252984906,2.0340357389958212,1.8041506372142164,1.6881485285506515,1.3233708592825515,1.3029722908340198,1.2282689259421824,1.1700014508393175,1.1963862222512438,1.158762224449989,1.3334001941585842,1.1716210149477198,1.336694056054116,1.3114105324705503,1.2742340981888196,1.345174919904815,1.420579664888037,1.4026335722578034,1.3535340261826416,1.2125707410102378,1.4625970671665516,2.249720096148155,1.9467031788390612,1.8547454402542085,1.6145990315879892,1.6213118475048796,1.6303730020296041,1.5302832327652813,1.6803648561083513,1.653248839262402,1.5878762157450566,1.6530946627092478,1.467617594053573,1.4129718248667238,1.3184478773213322,1.3298213855512042,1.5342949125505057,1.3511743193419117,1.320703032274877,1.6963750916089637,1.5403251438974455,1.4244574878692757,1.3706736860647386,1.5124872441652233,1.4438814561928184,1.5815160191210933,1.4758350617967142,1.6527157474288596,2.0016242283662953,1.7164499633103616,2.477989869960023,1.9473019497350905,1.6683105545790056,1.7460437422920576,2.1006314750115953,1.6391413536290382,1.689899207922655,1.4471147458691653,1.4205022594466796,1.4473472347741563,1.4436574273919391,1.6598208918124704,1.6272457006970509,1.577644211906638,1.8375497633177293,2.158402318540958,1.924588277259068,1.9519424971885715,2.311353159137912,2.2007535016334225,2.0697951704255946,1.84811679237008,1.453623481372916,1.378333812586556,1.3245237338153744,1.4126999476551139,1.7190592176454786,1.6594632877517845,1.546605279700645,1.5503236030698617,1.8068066944697843,1.5857139024112974,1.5181287648401551,1.9672969861014726,2.1445669452571843,1.7304731979626147,1.8576342740586724,2.321754840800234,2.328251937198261,1.8251281088524558,1.950733988836378,1.5664177745567294,1.5599740217131501,1.5102605681620613,1.429828699456836,1.4483355641465756,1.4121536856003247,1.4398957532859753,1.614834547753939,1.707780790529745,1.7518311430281075,1.8909194932714466,2.331477190275038,2.2466792736956367,2.1623901885072003,2.383282233213678,2.593129742813806,2.763057757242738,2.817438050788121,3.307891969253471,3.423185776791716,3.1788524923433217,2.907243095537375,2.35517472955778,2.1580899702701366,2.836983835079349,2.7678988994460947,2.9912711714619578,2.8364077411133426,2.20222883640958,1.9074100215082304,1.544588062224695,1.315387752964645,1.3599572917900293,1.5232872475344204,1.3158440541234064,1.936357119863849,2.0550087671736588,1.3735502782690805,1.4730625211399837,1.614704610896821,1.3059813416823998,1.3592075546544309,1.8176699261550227,1.991751673578859,3.1910648508964696,4.080192131198404],[0.9129946577327387,0.9445280187891941,0.9768846585496347,1.0658802095127857,1.0365218069393285,0.8282594019096986,0.7587342222813934,0.7205395142718244,0.6535616425745125,0.666017470128757,0.6103437464067137,0.6836196378743267,0.6660359683826308,0.6535248850892729,0.651139855663915,0.6441992041831666,0.6940925765929205,0.7022693125726343,0.8218074669777645,0.7607916826157636,0.76544174868152,0.7996106833827517,1.0097228377764342,1.0512081081654978,1.1279938657288229,0.949725411540141,0.8947582744699516,0.8460423713159143,0.7492767144083576,0.6994784597434855,0.648141647527371,0.7101759510803634,0.7173418348929534,0.6920757166465098,0.6965201136388803,0.6915256372198879,0.7430724623670826,0.8223704215423304,0.866516008787633,0.9046707240735289,0.8016153811892456,0.9347361579781119,0.9568811609771638,0.9683368245798865,1.1013797038244322,1.307180287655197,1.3118166542452634,1.0571575496434809,1.7988114198898526,2.390794622267461,1.260271398757713,1.7006964720531317,1.1185670052729602,1.019604995826072,1.2206232479549854,0.969561028623954,0.8684391501308552,0.8798757321936113,0.9231252015685704,1.1835668814400337,0.9165902784476945,0.8884013001453631,0.9227659431313031,0.9572352515475607,0.843302319561953,0.8022802172482776,0.821510731697667,0.7439317310040344,0.8369844761888638,0.777179927564772,0.9099894854793763,1.151031679749125,0.8959605410635734,0.9490804856328638,0.7669610797273694,1.1190389533127976,0.7068543257650299,0.6838625433566022,0.6843917938436914,0.7624084401541785,0.8259099251432078,0.8604984561217847,1.0002032858361998,0.8962942904358775,0.9347698574452022,0.808035513000771,0.795278051991334,0.7719527577448049,0.7014941500791387,0.7604479973459489,0.6643924204677186,0.8154930100142818,0.7348514730260618,0.7017838856354358,0.6762759387065198,0.7308714115014789,0.6993515174969755,0.6922084342956131,0.7214801996577994,0.9329773256070798,0.7898154224302478,0.8813143047899136,0.7859189467394222,0.8527563914759179,0.9451123370961299,0.943687641533319,1.1431276284892316,1.0068175771910597,1.023550527863093,0.9599730434985095,0.8754592382111703,0.8236685560000941,0.7584020445617242,0.8176883056953815,0.7609915695652133,0.8827863176413144,0.9768003726747414,1.0151601996660724,1.015630575152065,0.7923619376361241,0.8439952215102728,0.8097878414950893,0.9175702505049542,0.8457229813609161,0.8039623762474812,0.8835016877260855,0.8520673222495228,0.9570908701583942,0.9926858041988265,0.9469450856319954,1.1696721327222177,1.2075253780057207,1.2145082615836185,1.0176312074914267,1.0839279473340289,0.9890279646911745,1.1617341232012315,1.05317136118348,1.1150785027926016,0.9791857835798727,1.294548439335059,1.2935734157026448,1.1283856949181563,1.0402506154252729,0.9691291838120938,0.8465557905205158,0.8593244867333233,0.7364979642314077,0.7451470512462861,0.7125964742516913,0.7782627169342197,0.7664014277793725,0.9860077431828896,1.3985954791734065,1.0398907378922753,0.8551214429027691,0.7520542504707302,0.7764981244981719,0.7319584501813776,0.7956849670674183,0.8489141431525078,0.7960456378788461,0.9075606641534987,0.8627617401700989,0.9844670804871573,1.0112185039656059,1.2406473776478926,1.6172954278418856,1.9091066803440615,1.6246167886227105,1.5080676349041398,1.0273519035547662,0.9936260394376989,0.9457687982832393,0.8426870366591765,0.8404823866523943,0.7756761669675122,0.9469885397229921,0.8147589066782119,0.9971832370136966,1.0029985259842156,0.9576735054692934,1.0974408259019273,1.2250570860415924,1.2314394592946523,1.154391980535319,0.9935360295522595,1.3055726785652575,2.1210730517326395,1.6751890213226328,1.8149256710169985,1.5679891971370747,1.5562526938310943,1.5210795703792515,1.3934236789374288,1.553395165016685,1.5014861161307915,1.4091975884362338,1.4498306613548442,1.2108526926931136,1.2166349862199364,1.1159185008818768,1.0653915666100044,1.287356696307812,1.221577341760076,1.1863463196028954,1.3819802682999864,1.3445103420416553,1.4814525977403188,1.3060484703434105,1.3162454215966588,1.528478239781839,1.8002096508978398,1.2836172448053627,1.5227654385572562,1.6047636155084843,1.672764479206172,2.0831267903497013,1.656642243350181,1.546232983481674,1.6446100891711544,1.86835338789358,1.6640159060430808,1.8013166017824136,1.4570060090193184,1.4183566697396313,1.4092031386905286,1.4108857333385794,1.589197609806734,1.48355024263903,1.4405172146121954,1.747878242227834,2.0253781045520087,1.766533683190991,1.773064074668299,2.267333556346603,2.0966787846305004,1.981140565309158,1.667472043766566,1.2714776703936566,1.2330102723145433,1.2017813313428471,1.3330389115534587,1.640858195479996,1.5546187475702697,1.4911530326070273,1.5353620598722646,1.714893501529237,1.4294681929856763,1.4872093293121436,2.020431284194197,2.1839447862942674,1.8207632284501463,2.006059352489766,2.496168040380094,2.538876017659393,2.089093388033709,2.2351309302638764,1.7567098713858262,1.7015846478994514,1.5662731597597686,1.4782339777921565,1.52228619775131,1.3652792528772402,1.3536389014693662,1.5031342535046115,1.5374721198134278,1.5627067670102444,1.733991821405265,2.1416665014523364,2.0155779260350806,2.01295352999057,2.2282589351472284,2.421634498023611,2.5378895272631747,2.548470462612449,3.0646059894938986,3.1601561173844925,2.8112011089228113,2.483003494423924,1.9799400307492676,1.7478067242511008,2.3779978867557565,2.4031432343349426,2.7009521847239304,2.605641753503305,1.9393601664381148,1.564578434471521,1.2666814974399205,1.0076379665141812,1.0385597488153568,1.1898487789835441,1.0046509507875525,1.647847646914816,1.6932499433040191,0.978227854303728,1.0898820116372872,1.3217441092771072,0.9334095742400519,1.0755037820069133,1.7183287421581277,1.8624838028967277,3.161288768227063,4.1304598835559645],[1.449781525837042,1.3893194585208757,1.3954984715117382,1.2211205396754035,1.2228517431392592,1.2264470025333147,1.1667203323666262,1.3755464871048282,1.1637498678477183,0.985704386009457,1.0095278248246424,1.21688613249811,1.0800044233073225,0.882014668696109,1.0037066161544435,1.0652653274351769,0.9622230770113045,0.9024249547743517,0.7730501290012071,0.8912314438603476,0.8503575761469557,0.8861003002906637,0.8762533656917989,0.96083811135691,0.9588199102785055,0.7843456583539947,0.830370885164909,0.8100402241840389,0.9489686904111723,1.0905789789034874,1.0403596765799348,1.2221914501516697,1.255019915319034,1.1837953200661953,1.1699713422089342,1.0552865376263794,1.1741001675102678,1.0182939957881483,0.973098403134696,0.9970753517878317,0.9795096819530659,0.8998417237453119,0.8968405303570638,0.9040055901055131,1.0341618076696408,1.5263379758432074,1.5155913814864268,1.2835583209737251,2.164615684310857,2.763218173407626,1.2979153960695011,2.159199574139393,1.0634161125794235,0.9989629171916016,1.2481886135783928,0.9871329771175804,0.9600619309810074,0.9958274671839552,1.0395524361776902,1.2059349068870118,1.014501615040899,1.0646147255724496,1.2127475344688228,1.015302765880326,0.9638520592043897,1.0178900090003173,1.0508315531034744,0.9603215814980449,0.9215171967800123,0.9891405686603026,1.0145247837141314,1.199105959190449,1.0969992961669466,1.063632609235452,1.0198558287240136,1.5240326650779372,1.005343455972342,1.071585402310967,1.0892371240786314,1.082042447565347,1.1774850104242358,1.1286576675977595,1.363910016808483,1.301859602447017,1.281038140313168,1.143807590207564,1.0445874529678338,1.2368296377210348,1.0513110111894346,1.1352012068702566,1.0675616625628268,1.1943505555237286,1.1278661874993807,1.154380782693314,1.1150344916880262,1.134039659409114,1.0935105578698487,1.24188148711024,1.3081163283896358,1.5458216452601687,1.44947078212345,1.6207614696454367,1.4463333571740202,1.5237387897648236,1.562589367537428,1.4041318700473708,1.6115355474014577,1.5447327508570408,1.5464139312872358,1.5992405110976786,1.4584056922971191,1.269697167395717,1.2037329181226235,1.0640982616502395,0.9317888538658806,0.7981750308970817,0.7861797104373618,0.6948045413488336,0.7734950946989895,0.7739595997261637,0.7252261695541584,0.7329102224643017,0.7079249208290157,0.7813878338986608,0.8872139767469913,0.9709704732322243,1.3261936622054904,1.2724116131625867,1.3530393020609368,1.4130257894102534,1.2484032485180079,1.3360042417261155,1.2498593960570383,1.3535695988364203,1.1963937524984263,1.3429521723504556,1.6201497307879626,1.0080847090951872,0.8127332418822154,0.8736660261905386,0.7973848109606628,0.8806752638219361,0.7921085599299731,0.8044733026379206,0.8536910331393602,0.9278992973457394,0.916430120744357,1.0770005614343698,1.1917708006190129,1.262627081182824,1.4858057928890482,1.4885337016027824,1.6840296187779422,1.9325297276231141,1.639563700306155,1.5670361699984183,1.4245404724227915,1.4905766631799466,1.3186645762451072,1.3747339759137445,1.1450950836810139,1.1059246536677718,0.972104670230516,1.080509625615167,1.265892784407225,1.0422382347056975,1.6454876581887983,1.882148363886496,2.3509323071433563,1.9398144131427344,2.034850847824037,1.342573829284921,1.4464240469432952,1.1602862460909378,1.2154046837551766,1.3272397583530067,1.3369396321948852,1.4564045396065144,1.2881513709868502,1.2828506480997486,1.3083949789360165,1.2515340591008839,1.2337139090083007,1.2513607912953195,1.1737363292814158,1.1178790351438812,1.0012607876754909,1.432636665932592,2.4937218283058935,1.605076514063947,1.7143737398256615,1.65392670566591,1.4803558112947586,1.4234609280658663,1.2857700697039312,1.3519936579497527,1.3296067502207147,1.3512309872003971,1.3708416956098923,1.3913796401449998,1.563788468566131,1.7665664571724604,1.5688637786585165,1.5291767156233078,1.8276684328344026,1.9488448594262866,1.5279487721957146,1.7710268200208905,2.350424733355531,2.142135340195661,1.9409629946679199,2.3768018766890022,2.756088205523989,2.048535584705877,2.232443362766558,1.783750074709993,2.2505151585801353,1.8638517317588723,1.7541279581974971,1.970018074787058,1.9180307907991687,2.0977664545773766,2.090115125806261,2.425866026780272,1.9480911414708928,1.9572469178841707,2.0149768328391624,1.847753641828605,1.8487544812827805,1.7069605831523913,1.6893631758044212,1.7604229110410405,1.8855395465805744,1.668901585621911,1.6393130158403333,2.0124479607644616,1.7840129948846812,1.6665681409192836,1.5000617595352577,1.4809709547283463,1.585849097753694,1.8372896236406624,2.145905422504419,2.470894115409796,2.436291794365382,2.360484939692186,2.3939052846276296,2.582268097577496,2.2434318596090654,2.3617642493900775,2.9157836768931897,3.073666914322434,2.749484798786774,2.9044690461982605,3.3739976466645336,3.4613081381360193,3.0156981662233857,3.1195300886434714,2.6033457719080397,2.5341578531164606,2.382864487500498,2.1924359237709314,2.1895332679245265,2.0038234171505374,1.8713247345347048,1.813114561373378,1.7784952697123333,1.6612134365662024,1.749085824074723,1.9329160673834473,1.7904173697357775,1.8141571451676142,1.9845299419420819,2.1460719637416346,2.1240907512777003,2.078909827658845,2.579093224218509,2.6111226708713065,2.3688030105754168,1.880312996564399,1.6542305533400243,1.6030033199340339,1.7022083520899156,1.7508209718763335,2.0151174646279384,1.9300047700412208,1.5565608413424288,1.2734469301696056,1.3004891459636039,1.330726636178152,1.6494498009025094,1.4198516598229254,1.6660551362420084,1.8965604434173635,1.5524972315584815,1.6709958640511082,1.510902671034875,1.518437997393579,1.398704955344326,1.6278830027646005,2.572061234950738,2.3652136033834656,3.5878374016425307,4.719059356724323],[2.099035749148453,1.9608403995182326,1.8291034187847142,1.5729913125834964,1.637499598203245,1.852730458555032,1.781686060037469,2.05718130461536,1.8594801195952237,1.618933946584364,1.667835651818374,1.9046636412248399,1.6811997698055114,1.4929010806675436,1.6310523022266956,1.670953539849665,1.499734923065452,1.4191849797654306,1.1834053993188947,1.3370564755764733,1.315153487475042,1.3113089585653541,1.1973342286176238,1.3305437721935416,1.1884753641121086,1.1392459785606333,1.2213325313809222,1.2485954334010076,1.4237430877935913,1.6507994470874365,1.659254575852119,1.840630333751777,1.8806882988817337,1.7788148117745357,1.7675928560947987,1.6088903734586892,1.7202128508897607,1.4329363591259694,1.3610451468978926,1.3816544833389313,1.4803387286287553,1.2423494283599577,1.2231586533605274,1.2419441966523492,1.3831689559488243,1.9049095416480806,1.8698040311436293,1.661906169234058,2.518347804669213,2.9286272360955645,1.5225983275178934,2.56769437398769,1.3828551824077173,1.3553906541810197,1.4902289454246769,1.3321068356094887,1.3960181752681173,1.383857685855348,1.42416347337173,1.459784597735019,1.393391615533167,1.52140195913684,1.6685544776671613,1.4110272161383002,1.3416397627768224,1.4957611685112304,1.453355886650078,1.4000839291596816,1.3576101087566284,1.4571096955878706,1.3951779497334964,1.4867660429649772,1.5103494962993342,1.458153595806752,1.4868900150909903,2.103107228550744,1.4887005497257733,1.62134816578373,1.639083974521135,1.5655176594666804,1.648715916812355,1.5810368383093336,1.7913059607721842,1.7573129817470035,1.6746458184171393,1.6131229451160602,1.520121732055183,1.783329881286449,1.5885114723605023,1.6850245020033388,1.6319555017658107,1.7849613288000723,1.7227053930934735,1.7670066418299124,1.737814151148065,1.7430907962250237,1.73628036248063,1.8948914075956238,1.9751527223923306,2.22073498858203,2.119643122480022,2.2751075753362247,2.0504227302952445,2.097532375787844,2.0932343882578026,1.854047869273532,2.017544365432714,1.9516468899162298,1.969070719411909,2.136752974481084,1.9943412504062703,1.7966495910609461,1.7791384876212948,1.5664327592574994,1.4659072041204593,1.2484052132566477,1.1697978303633934,0.9847867529554728,1.0628241390823343,1.2586848648156888,1.1461776823682333,1.2275488304344768,1.098409417277433,1.242353874601984,1.4280609043716137,1.42347658720212,1.8687590953818323,1.6832963520393651,1.7420306449429168,1.8218435894948164,1.4781254121456968,1.5424253555191851,1.4512359055670538,1.6920072753341364,1.475925128231367,1.7084154672485672,1.9770355933760595,1.3385926417276717,1.0950184526966573,1.2307828926444684,0.9418059109454426,1.0260236826278615,0.9971732285270056,1.1008934182972372,1.1936528882639121,1.3522606545486273,1.3466939261303965,1.6134513567748587,1.7478811174802258,1.8762881630647086,2.124809915098165,2.180904032382974,2.3482450908304724,2.5712053304681466,2.3137246399966296,2.250674684493853,2.0868582491293055,2.1369520466483656,1.92532974238026,1.9245816828315723,1.6199560254940892,1.578388367829139,1.352924336432259,1.4700228759238103,1.5958994700994904,1.3551186256871663,1.9275668298512234,2.1016310801896747,2.5974281431208057,2.219911365759785,2.3757382005180347,1.7080803838908334,1.848228964906505,1.5528514679445844,1.6734568027711836,1.8198863714066635,1.8828559180910873,1.970132487790804,1.7888489206047573,1.6628817302285466,1.6399452645391468,1.6521117711174425,1.5302967415319007,1.4617678905715052,1.391217603665189,1.3489748497679723,1.3037015161948726,1.6646623027009397,2.7429372103652327,1.5074771044669892,1.973596187212368,2.08970838683365,1.7287076640072654,1.6045013768372913,1.4066510623877075,1.3886546824382155,1.418846484475943,1.4193038937811755,1.4255036079651033,1.6000764570679453,1.747460206006139,2.088643754564029,1.9129077071023912,1.7063862209231155,2.088932254532057,2.3537769275595295,1.74014782359729,1.9915643484487089,2.719096220833951,2.607716125091327,2.294918854020227,2.7248641593687357,3.250899419057314,2.5649099166875877,2.5595603637207014,1.9288690374167974,2.410051394520691,1.7169370959062122,1.7711477344119841,2.0519076496725566,1.8969644698970771,2.040272029293389,2.1209098927952605,2.611873255986863,2.047382160385925,2.076659270355454,2.16386980556033,1.9108911759463933,1.825273469580101,1.744429363625255,1.7476469508091756,1.6940537846691077,1.7660434433029184,1.614669288925441,1.5707604893654104,1.8404697517775426,1.619259972942588,1.5367969259234266,1.4498492647679522,1.6136339081749205,1.7352680385299375,2.0794035397246966,2.4749946915707968,2.7918580147554155,2.851737312196446,2.755452950919167,2.6887039187842676,2.9269469440789178,2.6689428072051937,2.746100872895229,3.3137688979718187,3.5287203939155662,3.2216507197988116,3.2568650618185906,3.75542564259929,3.915718075633904,3.3780029776722933,3.3929027785247228,2.858027330603276,2.772616578609928,2.6653324483864687,2.3695401670640908,2.308145103161824,2.202102064281796,2.005757006985876,1.8390510989781437,1.8085052199299985,1.6849454024819797,1.6659204589344134,1.770331634746728,1.6424909506335161,1.6654348580012233,1.816415791073834,2.010721242687576,1.9343361125538354,1.8560705030844722,2.3280056947565844,2.368156796017084,2.095434151153747,1.6653096747986547,1.5750312865329525,1.7070520155336282,1.513297652862523,1.5648530576888433,1.7848110200427354,1.7350417822675561,1.438442112794477,1.3315424898565402,1.4886175401067003,1.730820667639972,2.1906644995713127,1.7970975191609229,2.1382405745706987,2.416320405005402,1.7827179488366813,2.2833569968795846,2.037873966815646,2.0408008370817154,1.9555053109752707,2.0743103028002143,3.0763332733811994,2.4840652594810857,3.4734522696198225,4.557202053730891],[1.4105616714746778,1.3533282971348881,1.2839760538378018,1.0889358506413014,1.1321989355908442,1.1762548588734714,1.1261201214449044,1.2788668515930866,1.1288229897531241,0.9693907990015137,0.9917004154173328,1.1763401731987182,1.0234999136937875,0.8978145495364133,0.9859377344213903,1.008181937468094,0.9145221116638559,0.8558424260203091,0.7539489011688552,0.8262670099322903,0.8127998881879999,0.8215686879828727,0.861307815524689,0.9500602167646068,0.8742039031323817,0.7473774278160347,0.7866219133046496,0.7815599560484838,0.8666270599000142,0.9949392591797693,0.9966101872759876,1.1074676681608404,1.1119935212494594,1.049663480348277,1.0488230702538506,0.9465641958559355,1.0467538315247116,0.8926908252741758,0.8661484393771249,0.9015982814085483,0.9779076193361976,0.811276654503944,0.7871034558038688,0.8492389225628848,1.0614789953756574,1.5503121051725357,1.5940250441594792,1.22898602139495,2.059413055937241,2.6435469051771667,1.2629190004394477,2.085171506089862,1.0466542988177647,0.9798252168922134,1.08727270349866,0.8810016239258538,0.9337942585473349,0.8183984693364081,0.8606069889773449,1.18397647540256,0.908638211180063,0.9697875265275221,1.07663118616209,0.9322930053861108,0.861968388419637,0.9121533485869711,0.9441824752851803,0.8472435096315829,0.9103863766943682,0.9463051004754488,0.9849890543378461,1.165811340155503,1.0158034150218636,1.0829012772369346,0.918138477973588,1.438819827204903,0.8374549298734428,0.9372235501810058,0.9626019976540443,0.9411399366975425,1.0025671389822421,0.9955022416233696,1.1991273584124125,1.1613074401980403,1.0951631067041045,0.9716206302485678,0.9227592400350412,1.1065119935393757,0.9287188679380916,1.004235876724152,0.9378535793401251,1.122166203878899,1.070686852692312,1.044238432790512,1.0309563424353883,1.0347006164565873,1.0544022855078223,1.1199895507386954,1.186683487101215,1.3705265113837224,1.3091143822726903,1.4304641638347775,1.3000563096372881,1.3515768807374802,1.4551715165631307,1.2384556362189716,1.3834077066459443,1.3884118322665504,1.396724322894986,1.465971554685772,1.3466163420584223,1.1887865139476317,1.116949517533337,0.9973212843010023,0.9076502220872653,0.7996710544526974,0.7760093442468666,0.6948271239510793,0.8252104983378493,0.7794189457042682,0.7454838584067128,0.7754135743003503,0.7133623225500675,0.7777628635835815,0.885228930448886,0.9339658692187726,1.297281774811947,1.1714045638179957,1.237710406155735,1.2564755346167047,1.1087684225163685,1.1700684137631465,1.1200178498438826,1.1949008372980074,1.072728548042284,1.220676603398976,1.541402390365298,0.9658152852494553,0.8262075226337703,0.850893163695105,0.8360249227035139,0.9256386764417778,0.7885297783042587,0.7854701525285525,0.811280719984792,0.8578422999280032,0.859218496008741,0.9879475664249961,1.0800326052411027,1.1589682856832446,1.3567377773382516,1.3660353250105743,1.5002262693635844,1.7199314581638299,1.4796654856238667,1.402286413911405,1.2915334450772824,1.3347883777183502,1.2115244224023287,1.2221703373520656,1.0387312724689641,0.9761039215396805,0.8897248522839715,0.9496608805070371,1.16568843078119,1.035234483217493,1.5600139641078383,1.8661096882974837,2.3050480806059532,1.8911146014302915,1.9537060772301227,1.2493521600151516,1.3239210401119608,1.0311883042505017,1.0740666441652924,1.1551928877138267,1.184547559563907,1.2551166434411078,1.1250174482794055,1.0730941364059556,1.128695846583503,1.0956840628444062,1.0844222718011363,1.1181714770280031,1.0759037538991645,1.0032505321947716,0.9163617386858223,1.37257065081005,2.3166113548230456,1.3337848600969768,1.8064361908910302,1.7676311616126077,1.5474591762371122,1.4362648683276356,1.2259290560176637,1.285902031677347,1.23129931236021,1.2157184144149749,1.2283069666853048,1.2175810931868367,1.3547763669443023,1.5451869613793545,1.4023648997813312,1.3602642948228183,1.6371320279993085,1.8181103286562303,1.4278442754986431,1.6639578515295959,2.2080155925469573,2.15316257000431,1.981261766851957,2.375184920794254,2.7826775029392645,2.2473669723407235,2.4148049700427237,1.79227505458718,2.2551665948601793,1.6901872415311656,1.6494806347109756,1.8699010632766353,1.7671606892319067,1.9463743925700614,1.8899569811605355,2.201514995015924,1.7547893493095497,1.7215567451205742,1.7255376478573372,1.5746038285792892,1.644549189638259,1.5166816265810465,1.4871817280808894,1.6480365701785376,1.7739795175334956,1.5348481566218026,1.5102478861324162,1.9562919144386042,1.7068444136712766,1.604610741909601,1.3455455136697865,1.2798068793980013,1.350133797919454,1.5832592921457604,1.8268174830538115,2.147271903283165,2.08376828220319,2.078719533698345,2.042972513032974,2.1642198408990634,1.974750059032281,2.098395672785244,2.60857357962951,2.783985376908507,2.5630437540095525,2.652523653941123,3.0866013136179524,3.25847083544427,2.866365582677961,2.8869245881342187,2.4189248524829825,2.2858989750496996,2.131283379912519,1.9134139996566701,1.9600984923718643,1.8252213678295959,1.6533261043630085,1.6426575465194082,1.6333411114755836,1.5130325828009312,1.6031547604092249,1.8402475570273156,1.6471377382461805,1.6842031830752586,1.898476352966439,2.0519548672272463,1.9934837252937456,1.8856192451893241,2.375963299123687,2.3938816108302703,2.0972572250348764,1.6333470100473904,1.4957827978538016,1.5541532220551353,1.4367288511965723,1.5327201638498489,1.8262408055056034,1.8062103559363587,1.3897723916936437,1.1119313157475423,1.1452944336611883,1.2411124038757324,1.6554816397913825,1.2824327979988448,1.513173452365269,1.7437768906453923,1.4204246329348686,1.6912702691646346,1.4217145008552943,1.4612670162515167,1.2782758860222467,1.3605080482285121,2.2767749665132304,2.077377548033351,3.267997217001698,4.394874127209298],[1.2601543807948221,1.260210529365279,1.1841706503045075,1.0171221518864522,1.0459498466655759,1.043648178028033,0.9923584530450648,1.117696852410141,0.9702949031964994,0.8273223548661998,0.8463793010277874,1.0049715170216165,0.8781838936159818,0.7681047100606054,0.8316245711132552,0.8586741486542702,0.7868869830736898,0.738864828425801,0.6951124484781217,0.70738401542936,0.7293993300254281,0.7543128480632315,0.8454319558287696,0.9187525569295001,0.8631893400785406,0.6946778198027591,0.7088172571671042,0.6872332879384181,0.7490247266348541,0.8425501673136895,0.8512183151340199,0.9352453832284493,0.9362800341895183,0.8680002258035454,0.8762409245038425,0.8008627194081951,0.8873493623582513,0.784285567237032,0.7604548810512636,0.8010017326965467,0.8667850667995088,0.744172266102189,0.7193495810348925,0.8093687046010466,1.04015350434003,1.5177888369076336,1.590470814124217,1.1883971254320713,1.9926379720913503,2.6153904299161117,1.2315201605702868,2.0184890052873046,0.9990534723412554,0.9271524687244925,1.0424346547575423,0.8128305273149019,0.8716569200050387,0.732749032143063,0.769179784722864,1.137389470448653,0.8486793626507123,0.8843234616431237,0.9737651414807147,0.85335831671145,0.7972338439683849,0.818719643665147,0.8415344951727503,0.7332913145070256,0.8493052338490663,0.8521977029229952,0.9526015219663003,1.1499144308212876,0.940050913926842,1.0167047681726404,0.7955283398028606,1.3113305058263112,0.7161495306334571,0.7831649767154906,0.8112311653222657,0.8000259414753418,0.8473830051823303,0.8717566151746174,1.0686610509635377,1.0200230031991773,0.9763904726797584,0.8386278025229009,0.7963654414792278,0.934890157581436,0.7827229149597676,0.8266148071078213,0.7912549384428785,0.9962803534177944,0.9382820273457401,0.8892283238004252,0.8777105550701976,0.8968236939998286,0.9156627964024345,0.9484191977941684,1.005324900730378,1.1833517895372523,1.1273001763912582,1.2592323203857452,1.1162233749048716,1.1840440691532126,1.3493289719045423,1.1077055388117711,1.250829689302577,1.2714523929984662,1.2814720054480688,1.324408321598933,1.2212418128448903,1.0617123398797206,0.9783291345252023,0.8877289583942859,0.7894324477003694,0.7163936330468269,0.7055756502795236,0.6569790853693496,0.8254378952112912,0.7017802673760373,0.6710075452539694,0.7083055195917901,0.6599785999601042,0.6914900848725601,0.7781134444116397,0.8274720149281919,1.199914238332503,1.0579831228188645,1.129932528901998,1.1350333488086561,1.022110762603378,1.071766020531556,1.0390708544041862,1.074699315144624,0.9745233007814138,1.1060386195072118,1.4434302789050835,0.8951166379692124,0.7667014388560426,0.778442450936115,0.8142851263149795,0.9189918070339079,0.747601134576735,0.7219841279250901,0.730324948806638,0.7404195541601558,0.7489861173160735,0.8528142051887743,0.9380024998680885,1.0081026579124899,1.2051329328959215,1.189295986829318,1.3173771850531837,1.546934302775141,1.2970111695448066,1.2130208559630342,1.1065694830898423,1.1626737179502948,1.0416396615142272,1.079609944476084,0.9145451319803893,0.8414771604201,0.7884749648313086,0.8343657257015203,1.0703553130754184,0.9754222422781608,1.490475019716127,1.834214136448065,2.253553940925049,1.8351806190477076,1.875828248887043,1.1642193034967219,1.2101452267902137,0.908385619919932,0.937709468118195,1.0051227156428373,1.024007228640049,1.1075047469308499,0.9800117084259568,0.9364934542688585,1.009771712787402,0.9635234804814099,0.9874400949846248,1.0513803341380084,1.0064124854300573,0.9185754734533285,0.8337139015437933,1.323776103510475,2.272271842942721,1.2911828610979768,1.7891488868813967,1.7120644007524475,1.5159456661598925,1.3857324623035285,1.1847521250731718,1.2798780382669983,1.2009942974008592,1.1877418400505393,1.184516069235635,1.1354233255869226,1.2673811153007202,1.4273406966900766,1.3018658701526828,1.2852077219701925,1.5350947472764582,1.722909405243002,1.3899725290243785,1.6063801490090286,2.0958257486973983,2.1271812227537454,1.9810026661960471,2.3234872613347104,2.7191561542037466,2.3035927531916447,2.4530489997489444,1.831921960536065,2.2273156709291126,1.6607351701240416,1.6248115308190534,1.8141171910261902,1.6966019937440593,1.8888974214054086,1.7912725970516845,2.0966029706874485,1.6678698533954406,1.6208194636679476,1.6145261784049503,1.4936249311341356,1.5878554143398715,1.4512026997731,1.4206245674560969,1.6241764748745153,1.748415171836453,1.5012496473277077,1.4833380302086991,1.952104144892108,1.7124624412895662,1.5987119262664504,1.3101536586499098,1.203669982104774,1.2669162915990797,1.469505059333715,1.6733629111562678,1.9348986838828808,1.898018894762132,1.9065747367846795,1.8434832134355195,1.949621739208165,1.812744933734155,1.9369418918363144,2.3970588755480398,2.5684885787278753,2.405040336081185,2.4641256186540867,2.86302674279654,3.0694893283096163,2.7168309909909145,2.705490520458652,2.2761440323020534,2.1197369269542725,1.9688044851806779,1.7628018055932553,1.8380218557606909,1.730043926704531,1.553572525261706,1.5712562515432476,1.5753429851749707,1.4694178312549182,1.5660508641084916,1.8186370833854855,1.6107844793733719,1.6540435175739248,1.8888969824814508,2.0309587475912205,1.9595656370422898,1.8254415840535918,2.281059819090646,2.2784527399054766,2.0314986112066675,1.5782226632608987,1.4662355728159953,1.5727569864789006,1.3659597315704115,1.4571540567511385,1.7775550151512918,1.7775021596207639,1.3465032961640868,1.0519678714083,1.0749621113525756,1.1582718465859971,1.6461020414614969,1.1926886098211085,1.3910440953667522,1.6266794459078895,1.3140925061867685,1.6643658784445357,1.2972495254841876,1.3429956321294574,1.1508931639989588,1.2264115700269544,2.077805279637611,1.8940416856880475,3.0722900349097366,4.164435927195228],[0.9732941571919208,0.9725473709842969,0.9235438386022392,0.7769855615046131,0.7976557296218216,0.7721983235569293,0.710846597859855,0.8238166457649466,0.710478772564257,0.5677387721955944,0.6136623537721057,0.7432521952137817,0.598704626297657,0.536529374195543,0.5892394165318638,0.5822364509580407,0.5435302494348844,0.4957538877761533,0.5090897233650127,0.4792844563839442,0.5592795967594452,0.5816843436087387,0.8065828251053851,0.887744892012295,0.857090365106624,0.611165264520949,0.5370236597949726,0.490112483584591,0.47898581018266306,0.5610823410339985,0.611136487472792,0.6489859834357007,0.6682311251806058,0.6024413652837001,0.5914859292001612,0.5303661922063315,0.6083675261198223,0.5307092964585397,0.5420764530896909,0.6120709337716231,0.7112815306051526,0.5772741619515925,0.5850624369001174,0.7144650667468706,0.9758758752821393,1.4303938901312148,1.5167353130731462,1.069947249896705,1.8081569491228986,2.4914417700954457,1.106285391305758,1.8244694389674143,0.888331928050783,0.8071807562828812,0.9978076921344211,0.6995167455952684,0.7303899724057414,0.5844886078376076,0.6183487922556657,1.0688256173413972,0.7236554821296712,0.6896124068100243,0.7622389131444629,0.6880150413001692,0.6009542062950985,0.6270867892922933,0.6743151687948464,0.48676721281226093,0.652336935251702,0.6553428173308065,0.8286032981289145,1.081458823253407,0.7809411798258592,0.8038797590714174,0.6357711793012245,1.2004850221051695,0.5039084400169681,0.5448136970912321,0.5455299897973959,0.5566499405358681,0.5910965083583866,0.6302346666813038,0.829566847387417,0.7719305964232728,0.733725555388158,0.5731532136655237,0.5503136569593174,0.6460067396377395,0.5139000870935582,0.5942231421893757,0.57123706522758,0.8270239348395082,0.7463775363196483,0.6659563309810405,0.6523867215012359,0.7198860371048174,0.7489036823636671,0.7095411557355146,0.7389249084527392,0.940757374494726,0.8272294101657955,0.9664424683645367,0.7869246779426913,0.875625796856081,1.0524546383030922,0.8169891386803906,0.9960764438531758,0.9615265159427996,0.9667464430580827,1.0153786769056588,0.9058882032433143,0.7513105008313994,0.675623859275669,0.5999499694798621,0.5336221411822535,0.4931035988162455,0.5274993875174047,0.5213490668094293,0.6664804933918024,0.5072329715531408,0.511207718860172,0.5205006360704398,0.4911776367723429,0.4528322710207917,0.522193555308886,0.5416640310862848,0.9206582262576235,0.7655909558262014,0.8242665618683167,0.8186115473176776,0.8142579342220848,0.8735229695459258,0.8923411367179699,0.8038334334890028,0.7498302889933619,0.8067856069455006,1.1337713782256893,0.7044946348585374,0.6075877988009472,0.5945797460298078,0.771658701843829,0.9076443085965098,0.648400676311185,0.5853080020380975,0.5702658374292888,0.5080525733567285,0.5183476875642349,0.5638679844116832,0.6361832279214397,0.7215790655962584,0.8989342707078992,0.8970760478488105,1.0312751321047213,1.3699926362388095,1.0699029764576893,0.9267522385993405,0.8076939053596497,0.8513845845825099,0.7243925128734917,0.768006640642819,0.6277607449480805,0.5769065250012352,0.5463731192261126,0.57352384691483,0.799405718427252,0.7827723399829918,1.26479154522001,1.6899892507541148,2.073048486731038,1.6231940344444946,1.6163653830478237,0.9027219463375062,0.9013060989563819,0.6494512355714451,0.6500059302608072,0.7140645990169048,0.7012697390976322,0.8541017698356093,0.6868384957393465,0.7151695628160094,0.7574626264008382,0.7046680756595407,0.7906462376928416,0.9048380255913887,0.9009478026820364,0.7649054139818221,0.6500319082105868,1.1894897406047367,2.165392277014222,1.2284200250362174,1.7697927334302839,1.6148800328799326,1.4864794153500729,1.3524334649359941,1.1498387451556893,1.2843202809825058,1.1377531215661354,1.0902427539836919,1.0647858711145786,0.9124722002371081,1.0375083613099803,1.1121357670604584,0.9995759081734634,1.0403523955678242,1.2569620477295453,1.4394707961493205,1.1588531995740952,1.3830733366033656,1.8282305983570661,1.9237413107007812,1.8194915882445482,2.147923352322004,2.5175656237902984,2.1869746409328124,2.392879400439792,1.7529219675653243,2.1214182226793663,1.5857540028511288,1.4944945189846184,1.6701683698608687,1.6116590971972837,1.8408162891713713,1.6723608473342975,1.8604897734021952,1.4923360487973045,1.4371553553121952,1.3976033486670376,1.3745921017558758,1.5104798928127745,1.326088286939261,1.3116801037342545,1.6351842050783203,1.755526180082619,1.4760506017327315,1.4749289568499087,2.0506009812934254,1.7678462020799641,1.6364047596723785,1.2475722553111277,1.022479345723684,1.0853429321368624,1.203256976360144,1.342699951382047,1.5987285975878993,1.5373631508574515,1.5663609315353695,1.511169662850237,1.5836274276372517,1.4721966227597167,1.6011600557228332,2.0464560150076303,2.226180536425023,2.095746257278175,2.1516908252946334,2.5397674339342577,2.7724195893137544,2.4493740985997667,2.4238320010789907,2.0166874632442546,1.8295379106372185,1.6675642708363678,1.4948651639326156,1.6180210000144002,1.4993243836280534,1.3286393641143173,1.4219383016872322,1.4181884536295744,1.322804501267606,1.5209694076495641,1.8171323264073025,1.5470167973701345,1.6331467064831573,1.924177400787569,2.0502832160871964,1.9517204952044898,1.7556700269362788,2.2445686468657327,2.1969583866685096,1.9600943775631698,1.4285317649304532,1.3081973887837681,1.453520316897891,1.1732252009090387,1.2480481832134134,1.6402734141727444,1.67226585425602,1.2128110280030566,0.8358296699897718,0.8640927661204499,0.8900542313062213,1.4373792459643406,0.9645712702875462,1.0952883875685628,1.4313950966665394,1.122448987993001,1.4526428712406643,1.0619041906185525,1.15601353379659,0.871520114022002,1.0072705318226365,1.8170505503711618,1.7190925617055068,2.9613110628751054,4.0075321611796495],[0.8120927041597306,0.8260752146326884,0.9152187615029534,0.7249821831906145,0.771490343097287,0.7091314042004778,0.5981444190840002,0.6689349310513167,0.5720673813222354,0.4674890471986135,0.48945319050104646,0.5853120388606399,0.5002373527930404,0.4495909401285906,0.4786292716425864,0.48267526771408253,0.48584525683991764,0.4858723768976285,0.5547009743025778,0.5183981915278415,0.6063859897478581,0.6464743339178733,0.8887371472805515,0.9445357829132283,0.945797073110279,0.6792917283931083,0.6139405766403271,0.5348684808942059,0.4909327051575327,0.49738403300467304,0.5083783729920538,0.5451640671352554,0.5247001828056487,0.5030366151965417,0.513618214139019,0.4960309095653902,0.5718696554677619,0.6044424304444306,0.6473813544012729,0.7774122302785818,0.779981648936131,0.6678768328829358,0.7107632920377255,0.8036851785873259,1.0218906500435643,1.4416933473733344,1.5600212714875823,1.0753921871494678,1.719488234244047,2.4625982673787514,1.1381678965849225,1.714248077868157,0.9899834469755133,0.9184313544538879,1.1698431494189385,0.8075331719481682,0.7570340231423861,0.7047625031101971,0.7196743059371639,1.1283863161240917,0.8145218511510358,0.6999893508841089,0.7336793829623951,0.735851651116257,0.7014208096497715,0.669547972381751,0.7035402397689084,0.5213804809825071,0.6762792286030641,0.6597206561332315,0.8485870447359419,1.0836262944564854,0.7791151588920514,0.8188326383259794,0.6133507814337138,1.080180052008289,0.5184488633866006,0.4976482422062059,0.5010798692436458,0.5742770175919995,0.6490519952162985,0.742151220239587,0.8955991736887441,0.8647883648238259,0.8119482655184839,0.6541038146543919,0.6242252830361302,0.608379301992279,0.4946873279868756,0.5630466574248514,0.5155974795244966,0.7442221969068078,0.642274372334109,0.5499286140462704,0.5447817101516261,0.6062544195434918,0.6495172743697872,0.5607267799330714,0.5692415606388536,0.7997143083314808,0.656806598455375,0.7942864006417644,0.6610448065733503,0.7449372052434853,0.902433403610824,0.8352606690279236,0.9965796126803419,0.912778379170741,0.9030609592013239,0.909334391009071,0.7998344212803693,0.7085872847825421,0.5968756043875564,0.5590323399043181,0.503480884838232,0.5082859816895478,0.553817671073157,0.6000915852223342,0.7025436919069928,0.5122460034180732,0.5203274880723696,0.47295821198165716,0.5036239089088294,0.4374037622183533,0.4841810704438396,0.5406864732377762,0.8022322290246222,0.7319724522163774,0.7926621956400307,0.7894851446821797,0.9503366782442941,1.0310853623653136,1.0949582198063355,0.9091000106329643,0.8902810956398913,0.7797827203132426,0.9783240242847545,0.7863584742412415,0.6854324872182946,0.6569692254754474,0.858758575138182,1.0161222273269348,0.7511256337128881,0.6895503981404064,0.6778137763591197,0.5779832116251704,0.5832516003274304,0.5258455814250461,0.5799561021727871,0.6165141252314555,0.7378698337435651,0.7289578231962339,0.8825127022783468,1.2705395903223455,0.9363424720021813,0.744612565839245,0.6316956562762422,0.6886002048398898,0.6056480108204275,0.6950079679392829,0.6555632607684835,0.6163685976914703,0.6280256533503759,0.6429015546141166,0.8282009951811715,0.8198299973306327,1.2300236833383442,1.6912339751446024,2.000194532172396,1.5148592672280061,1.4578974604234278,0.8556056800278641,0.8192660442736532,0.7405735445196179,0.6912451666218719,0.7207569181091559,0.6332583411627523,0.8344661976127216,0.7137388953494042,0.8454874830924203,0.8410968566344992,0.8181160685658213,0.964009611653049,1.0991354558030417,1.1226929474540535,0.967602549730492,0.8450549087649086,1.2849372819662932,2.0659740170907335,1.396171413038065,1.8432988706422995,1.6315980852946388,1.6243795864373292,1.517731987868143,1.3788415500408524,1.5442008031344743,1.3415166924217299,1.2821032105966987,1.25187975866055,1.0297579566186952,1.0997824256593585,1.010105284006886,0.9281174527004373,1.0379856162499763,1.1483408016651921,1.254747244490426,1.089559671421156,1.2824107504123994,1.603787608059587,1.7423313134590135,1.7025282661570638,1.9819416885927097,2.2874370180190007,2.070361322778154,2.340325463529398,1.7348355390716377,2.040637645734819,1.5764878435900198,1.457014281081889,1.5909246569445108,1.6280433774287533,1.8625658444997346,1.6619910759381995,1.6849356004797247,1.501719358026078,1.4768786515746384,1.390680585875946,1.5424120226311773,1.6655034806764086,1.4583915080906065,1.4966805890157824,1.8962286832012931,1.9867048484647944,1.7148758479408934,1.743121201294147,2.3361314324352596,2.0182644894226835,1.890245728340448,1.4665138228659267,1.1939796610935034,1.2457459260221886,1.1769953643527358,1.1986013298705671,1.408226852998381,1.2775563490996504,1.3321196668086939,1.3280154702919613,1.3144067850935073,1.2487924384614357,1.3368114573907162,1.7020025434696757,1.8658349236182818,1.7842464181805369,1.8425399323710254,2.1800351612599562,2.4304383181363214,2.164966684429985,2.1314727682440746,1.7937113246700327,1.6014739625976717,1.4521504796444877,1.373259538195819,1.4975909076843554,1.3802471198207782,1.2917939207676723,1.4419985410642553,1.4070704885408054,1.3791845075677003,1.668903878873692,1.9575865861674335,1.641836842844439,1.7869541995289204,2.0940828537434535,2.166678521813372,2.051857103697546,1.8055429043260953,2.287927623024626,2.1918887565296457,1.8889190859567495,1.3797919337843212,1.274628474812702,1.4424358804226474,1.1886042480770342,1.2007080391794054,1.59841108846134,1.6847639303160495,1.2917123034779567,0.9103094762978488,0.9742431306525188,0.8611996590628567,1.2582413767868166,0.9818146139497388,0.9858779281682769,1.3089784635960382,1.1275175028538733,1.2992676083295058,1.0011872360521255,1.1368539006500857,0.818190327729127,1.0792010207418918,1.5911949955469107,1.6642536093034745,2.9408376856181633,3.955158239452694],[0.7466752766344719,0.714758323639192,0.8168027129203316,0.7584143983207086,0.7570294546836799,0.7053264445450328,0.6208452229030905,0.6505044754393223,0.6152414985572668,0.5517121920696328,0.5675357189240094,0.6153131414408604,0.5881823466556954,0.5373056894061502,0.5592522177588083,0.5711011761358022,0.5994057773383591,0.6080164376416857,0.6392579304021926,0.6114082439697179,0.6791246705643974,0.6968209577783093,0.9459357691771255,0.9697055045459654,0.98981080810057,0.7340198326635934,0.664464234561016,0.602233799449399,0.5990866618961659,0.5833900975967637,0.5828988608895195,0.5947009530839964,0.5801025066636734,0.585817021071458,0.5862069650888823,0.5831441657206835,0.6320370959582763,0.6468114272147628,0.667246857192952,0.7490049968249166,0.7654195808667794,0.7121490749510656,0.7248066777654192,0.8413725375671944,1.0402943335984642,1.5204214761872417,1.6419204311496152,1.1608798686774482,1.8930689558089064,2.607396388690361,1.1603088733009144,1.8322785026347266,0.9580296942027432,0.8894686545625723,1.138165512207821,0.7883367683838425,0.761053652046161,0.7152495489373399,0.7152929487874824,1.1700860544373308,0.840951550819916,0.7643877263999664,0.8028011744401489,0.8072578327482582,0.7744294396835723,0.7259121783650483,0.7960980121015967,0.6418687940665325,0.7634234029887311,0.7696407735166267,0.9688946617943647,1.1555837413955257,0.8680603254836602,0.9098310139185561,0.7252809374164363,1.0704000102923406,0.630146877144103,0.584225864851818,0.584217920475656,0.6315913856764369,0.6978630886826592,0.7526723471020587,0.9246669849627481,0.8914528777697817,0.850297619092509,0.6899043108864686,0.660589508898645,0.6518930407820411,0.5784223636716157,0.6461285264163592,0.6070129110868968,0.7624903271386045,0.6706826282411262,0.6110017517705698,0.6102099259130978,0.6632529544562082,0.7040645112597026,0.6201958513872059,0.593335647999376,0.7548358888772939,0.6578495798617496,0.7427910535432455,0.648916570116612,0.7188893001117037,0.8811046629989445,0.8069443702312714,0.9100260709781862,0.83280166597982,0.821146753673836,0.8151032401623152,0.7250981506970857,0.6874869998284431,0.611411756749285,0.6095072794364768,0.5910554454624164,0.591582858898622,0.6224579202223399,0.6503892309141495,0.7188507257428493,0.652459142645732,0.6566307988056791,0.5881315444747451,0.645559097744228,0.5753090502028602,0.5769984664153377,0.6067374881709802,0.7846131740913844,0.7339151105304311,0.7472774949094118,0.7385499061527621,0.8624439293149975,0.9241484071866654,0.9830450340758176,0.820911724524272,0.8093442565868367,0.7928633011597336,1.0233364194145997,0.775702017007832,0.6942780837572942,0.6880024100473872,0.817138545604134,0.9363631862320534,0.7207871580112755,0.6742841947501682,0.6765625361343556,0.6184382383474328,0.6262291178595274,0.5933154358538848,0.603149740786768,0.6356143133129137,0.7050783974638937,0.6951682518922252,0.8267904836350487,1.2238669182723485,0.885083133090652,0.6979585707812549,0.622157610224792,0.656593616775851,0.6198823213897198,0.6822940909134195,0.6659297393604245,0.6559448169963095,0.6543952974658523,0.6907644917982636,0.9180609842474466,0.8829711844293272,1.3476287174137511,1.827873486486467,2.1464484801223542,1.6728716431888155,1.5845567390565147,0.9406636651608666,0.89161757281505,0.7309261839948807,0.6963697130070987,0.7209128771299166,0.6573490635255943,0.8340459993363872,0.7148511476757516,0.8286706985813245,0.8367235782864343,0.7809569447889813,0.8917392867715397,1.003520093449451,1.0177456387244237,0.8953089939383968,0.793064229360224,1.2865177528027207,2.186812317385846,1.3351490811703914,1.7948094153310712,1.6442065121349403,1.5478546739329702,1.4196609676783551,1.2377610599801958,1.3972071683953429,1.2301617524243003,1.1658324263948328,1.150034066145302,0.9367566675350223,0.9495398818144809,0.8290771961416027,0.7825110568026827,0.8804356950934701,0.917363677863493,1.0366064095589815,0.9216415375328347,1.0322149568431618,1.2936410910094098,1.5195333230466836,1.4339022144604265,1.6188634121234518,1.9711551935835143,1.8448272179972225,1.9549006482048026,1.4465557875237083,1.611523188087121,1.3084088375266505,1.168377889190066,1.2394163430458878,1.361918151524328,1.5556162051342017,1.4691824260667183,1.5390394833416272,1.2919729966830573,1.2568086977810196,1.1538943393292869,1.3615768653148783,1.4925078741024103,1.3024297909963458,1.373667521695228,1.7632779141067174,1.8828249670007253,1.5968394400580845,1.594476463998792,2.1687042854805543,1.8975071078782562,1.7619755627006588,1.3623828869895476,1.0786497685355525,1.1073544928935024,0.9925270489044816,1.0489132612737606,1.1442738344624706,1.1152182148316812,1.2136129777811486,1.0056323081264056,0.9815400508698156,0.9800997838493497,1.0575838648733564,1.3669707252900596,1.5465953290094696,1.4789812022827087,1.4739635793060262,1.760587686267335,2.061419026591943,1.7583513529762773,1.671424543282588,1.3861432392109778,1.2340947978646282,1.1381916586861973,1.0951022141493387,1.1579713583282658,1.0807250279314342,1.0777627579783304,1.2340393332945387,1.1924850677048087,1.231768410666539,1.5226243147823508,1.8434849628634575,1.5310826341167807,1.676763876507262,1.9458445928295032,2.039534297608868,1.9469538660319667,1.7125785053144473,2.1107545331947652,2.074237818457172,1.657305140491787,1.2686327063329699,1.091845147860094,1.2658232485834768,1.064170944829946,1.1047363101824752,1.5934153981852814,1.6842587831653717,1.218676028624444,0.8189317571710728,0.8852857415941427,0.787324670964803,1.1931461997664756,0.9223137758470943,0.8348230915846111,1.305550547029109,1.0563065384213155,1.1870248876792202,0.8550759002405279,1.1019359599741034,0.7515915607071941,1.0611892286541609,1.3333203612556659,1.581299442479874,2.726692047207765,3.5280156779129954],[0.7478850266778494,0.7010285055870793,0.7829278213179656,0.6913144267492408,0.679550333118848,0.6433338394546467,0.5319834051283621,0.5447334204280432,0.5134526900312366,0.4113979728121703,0.42847408564838824,0.47809737064439517,0.4445239088794814,0.39716626930096965,0.4250203073418069,0.43636109189851996,0.43460031998357174,0.4463872431031464,0.5592816848380959,0.5083201499997189,0.5822612496365542,0.6169420703990445,0.8789912557204785,0.9365106842634917,0.949032165605307,0.6575836003582133,0.6140682442851688,0.5401959117662931,0.5065851043156486,0.4516800590570904,0.4618624216034254,0.47014867069657573,0.4556765682004254,0.48170732333339367,0.4750367417903162,0.4662169091470422,0.5451817152830999,0.6455831536128935,0.6580146587312263,0.8164500906482247,0.772173202246788,0.6698074317607497,0.7282102015087146,0.8197708513207209,1.041400421295313,1.4475914630583333,1.612489554148702,1.082207467846176,1.6492595156368732,2.411552413837082,1.198193750399713,1.6663027031593003,1.0374817845243232,0.9843415925539023,1.229277524780017,0.8595378999707863,0.8043939865605706,0.7468181040495603,0.7442219383407743,1.19213210193752,0.8200385880181801,0.6898805777067056,0.7141505854608671,0.7057181246618398,0.6856480755735493,0.6717392208898199,0.6468821488809985,0.4845639187432494,0.6357592017058585,0.618388222257927,0.822335086969286,1.061964195292827,0.7344622659138536,0.7975463185487689,0.5804039234197563,0.9592962725093076,0.49440702284861787,0.462320020190092,0.4718170333552698,0.5746005497951475,0.642453127074646,0.7486151285599202,0.8863851742986819,0.8646236355122873,0.759442222082779,0.62850605759811,0.644534843426681,0.5701345709770705,0.47106067868598844,0.5321886369156766,0.47712835133685555,0.6809580419130074,0.6041164105123927,0.4890663353255674,0.4943215589244566,0.5587378153582271,0.6166490684316503,0.48800835391502767,0.45356337086279347,0.627563897879831,0.5111508528423504,0.6173690654851267,0.5509378398867296,0.6678951313494396,0.794536346724722,0.8014047729497978,0.8670295405368635,0.8168068039759806,0.7876353039310082,0.7899339035509785,0.6906090088397338,0.6202053652352042,0.49686106985078815,0.47542216721884994,0.4228174580524492,0.47292489419113093,0.5473729399789035,0.5799729837781297,0.7101162933976366,0.46156228099277374,0.4888406012289973,0.4103323175988718,0.4440941900873401,0.3655470743377444,0.42463005768390283,0.46697807912385425,0.6599552716967912,0.5990544077433331,0.6783775289589127,0.6865384049356928,0.9127932346291588,0.9863086439295079,1.0899385103660013,0.8694493428859894,0.8856132299623619,0.6868073358111045,0.8076879220240576,0.7649092042698432,0.6590133413668151,0.6017319631950501,0.8201051407347419,0.9973609860510174,0.7446993638335777,0.6885926375797417,0.6954144088702924,0.5815911809669201,0.5754732236644081,0.4664222616622927,0.4817127984891537,0.5314933685423434,0.606651976463524,0.5828663711194203,0.7475898853977607,1.1971975236920052,0.835281657098009,0.5920634633760794,0.4987847030598895,0.5517069535580325,0.5093846797252107,0.61444923013254,0.6064260709567912,0.5871714096255685,0.6094291339871366,0.5827361240868862,0.6871549342833551,0.7679927145537073,1.0733384041515943,1.587254387926337,1.8611594148919341,1.378896885225798,1.2713573551657273,0.6962375007310561,0.6360541130841475,0.734118145918451,0.6844467542306061,0.6810525403453428,0.5769473862014552,0.7741691887381784,0.704564110362942,0.8467928835572781,0.7771351923820411,0.8018604383815996,0.9806814811331983,1.13073317553568,1.182979080912194,0.9877498343320437,0.8613616966259955,1.2351971269657445,2.0474769124554473,1.3253394521830808,1.9702135003660814,1.798205646810427,1.7597095952770547,1.611339484147829,1.4433615670035935,1.6155547299106545,1.3648137106846374,1.2652693984206158,1.2141958410435902,0.9760957246957818,0.956420341456982,0.7923856667194612,0.7431739791937182,0.8541686417617432,0.8704034088017514,0.9687848433543177,0.89026645427706,1.001522497539021,1.2305976138285057,1.4830893788830366,1.439459538850558,1.6093777998735,1.924269481326761,1.8460980222086527,2.002221743425096,1.5125040275812813,1.653043899644587,1.2832390625479746,1.144926768835413,1.2324328994200149,1.3445480279589492,1.6065478834496125,1.4881877742305354,1.5034553754203563,1.300019754305622,1.2736003160419205,1.136696957557825,1.4438992354711535,1.5440304880863134,1.3201925800855694,1.4331491276416422,1.8744321786110993,1.9303887489010192,1.661192531310818,1.6922167657318115,2.2479305885621175,1.9883552050671947,1.869594391394762,1.408595931962271,1.1481482836866412,1.1832787393360782,0.9717236599896197,1.0290619743145568,1.0298801442230687,1.0790976068946443,1.1618185502012894,0.914174956001061,0.8688007212201386,0.9031241552961942,0.9631884182148875,1.2518868671065042,1.4318399808930544,1.383985832515065,1.3934215401854022,1.6678558516463295,1.9853600250350676,1.7040278311639734,1.6163018237822473,1.3420240603053104,1.1790661374924485,1.072593974177441,1.0634581874562536,1.1269637397302574,1.0492918099216788,1.0662230491041464,1.228655818513774,1.1702784848958803,1.2138348117065774,1.551352686038423,1.8484460790698842,1.4899387435647644,1.6866925394089607,1.9834052764089305,2.0230394642939875,1.8689507000565353,1.5512276186170457,1.9444168668663524,1.808763531724766,1.5039807554002735,1.2007045008920196,1.064468911302587,1.2997531394861188,1.1682469765796597,0.9762748440400948,1.3379801701980332,1.5145621273831644,1.1672673676226273,0.7567040859412164,0.8980333776765013,0.6940928968801604,1.1722234527594528,0.9126276952031112,0.7971966409093912,1.317947855614241,1.0102663818454727,1.1831747105070638,0.784738577926652,1.1173464840910905,0.7244705536745507,1.076401800564197,1.2487737726284285,1.4956068540047478,2.6017253866308203,3.351981935294877],[0.7427857868713563,0.7043781458702766,0.7932967187601007,0.7052249790057759,0.7392082637648151,0.6904233560359562,0.5957595245161903,0.5952818773810562,0.5646634333717899,0.4795253777350235,0.48981887708691796,0.5190035847160412,0.5080835614249481,0.4562545079031261,0.49004907486340765,0.5147279455710843,0.48551231715480087,0.5151782552953899,0.6212048834919021,0.5755896669004239,0.6480843181458955,0.6975212142068496,0.9444968877323006,0.9826909697170084,0.9975864005456831,0.704819488892223,0.6811369053894627,0.6257832325871389,0.6103080660944276,0.5470793542394999,0.5341166085603509,0.5592762424904245,0.5300444043526754,0.5572871066732299,0.5687979214192047,0.5568921623088938,0.6463524774032344,0.7642372258069237,0.7605234186478658,0.9280041302994514,0.8481288511778267,0.7466530039467483,0.823727957542005,0.8988433874510322,1.0982425864189576,1.4804975419091966,1.6626538062657632,1.136595403013924,1.647803576678443,2.438132518215689,1.266690120132257,1.6604639970027442,1.1124715134023695,1.0698431028978899,1.3247624717673487,0.9573893294238222,0.8892300598016002,0.8571789578876806,0.8434071892930052,1.2600285429800635,0.9087549276056268,0.7716648161945087,0.7870769045856312,0.7607686375058823,0.7431753407201176,0.7661912779730741,0.6962684658780015,0.5409120653270091,0.664722191778095,0.6175684851240162,0.8450947314278132,1.08783414142972,0.7230674992228732,0.8169387490760285,0.6156393558898193,0.9138171574449783,0.5675763871297611,0.5444949972830965,0.568068937541619,0.6910592482953292,0.7478024468410208,0.8506677288241637,0.9417841485446657,0.96167110708673,0.8385932019611757,0.7229557569760132,0.7476509013394971,0.6612712801522953,0.5739482992202399,0.6200058653280386,0.5440238508276357,0.6914620570131066,0.6366672753318959,0.5459602349955279,0.5551126268333452,0.5898443393966164,0.6597127544134794,0.5467394548191301,0.5183540524809404,0.6911124116052674,0.5778852011099045,0.6621805400106492,0.6236030908957535,0.7310178411572409,0.8159615641165108,0.8586073493360181,0.8960483698553411,0.85812252421118,0.8145963544753904,0.8181655562216702,0.743907889569001,0.678748807985605,0.5700827059341789,0.5542551794253358,0.4921034765071734,0.5381310812033646,0.6158729125298649,0.6409499420310989,0.753513003397855,0.5127742094014247,0.5147295831074533,0.4480828898142029,0.48337200607548936,0.42777979592823656,0.49460167593328924,0.5440584945967545,0.69316733520929,0.648490493555251,0.7331479402028444,0.7397513895231385,0.9561093996948358,1.0230998282871107,1.1511262309381556,0.9507734167368552,0.9579639680387162,0.7341898310625068,0.7823961330501545,0.8423269063264883,0.7166476162317565,0.677932698811175,0.8706070254567495,1.0386140346034094,0.8074534296030897,0.7670294466770606,0.7826015312151268,0.6806548985649716,0.668874019327495,0.56588112381396,0.5627603239197737,0.5981549603165633,0.6659086408062537,0.6198211195273562,0.7579201611848327,1.1905734500825051,0.8560973504042001,0.6364951556132967,0.5662526141834341,0.6115810492044166,0.5889081348059982,0.6890448829258744,0.6923424624136786,0.6835518554854201,0.6995272491256426,0.6643100509208966,0.7329865488588189,0.7920004469859235,1.0765286598228245,1.5950213483838411,1.8343202096644833,1.333823901919015,1.2195564104948424,0.7141048760763611,0.6645589679120744,0.8239406231313183,0.7779281509404743,0.7618999286092992,0.6570342337367329,0.83119722462959,0.807567473288401,0.9316283464507218,0.846405057394023,0.8874803687926734,1.0563756100527428,1.2033622935113524,1.2692455468131134,1.0683983766387966,0.9634980726664346,1.2890157356647494,2.0361264526446305,1.3638742213696475,2.026610651425141,1.8510573507085206,1.8374635035859828,1.6845323250327555,1.5215378739278855,1.6764753242782993,1.4108336974423787,1.2898641379260536,1.2149735076571213,0.9938823803683141,0.9632132386386764,0.8098735944341416,0.7601025638872778,0.8446024185625076,0.8693239618260871,0.9764531003339896,0.9574637273205714,1.0312919162233056,1.216611245254687,1.519830990986928,1.5030754285778338,1.6066982359669835,1.8809800505023613,1.897262746991373,2.011474975683166,1.6171595168580373,1.6502163576230309,1.2916553492123632,1.1502504001294995,1.2335563028786818,1.2795751723829842,1.5595734474556324,1.4427373990180745,1.4769749097215061,1.2839143780903894,1.2587726617768418,1.1231867649378078,1.4605558454436884,1.5153604763687596,1.2943286602597597,1.421778205169394,1.8497733064684132,1.8494593442684486,1.6171014229512761,1.6953158539075792,2.198392586201957,1.9440442486128964,1.8713156792808134,1.3799572178555977,1.1665172534824422,1.2034449800824343,0.9732832174597899,1.0476952392838543,0.965260200034573,1.10836663723751,1.1574180788988722,0.8911168326394202,0.8349035374083938,0.8997137551542873,0.942569944889702,1.1716370889017778,1.333703641015773,1.330096691147214,1.327636013045855,1.5510397238046036,1.8745550933614235,1.6332082633866316,1.523460476657631,1.2946046959500266,1.1389093391919374,1.045097771819832,1.0420868911085868,1.0955657657919922,1.0427553170275892,1.0524587278561637,1.1830200280555176,1.1321508441028787,1.1652506549215462,1.480158449858193,1.716638276617322,1.3748757644636245,1.6102229052577322,1.855688328118509,1.8571175260472166,1.6752742326277095,1.3275838356575762,1.7080038843477765,1.5886729048077517,1.4142658984747691,1.3029808809703594,1.1221452552166342,1.4550285942047112,1.481989096643113,0.9812674713536821,1.1087037948329799,1.2659572913587585,1.0565531642220067,0.7390353219518422,0.8977782669555188,0.7170634153618946,1.277128396927896,0.9156280869229733,0.8218821366686067,1.255212635391911,0.9371296276040131,1.320374929263529,0.8117870432789939,1.0973588927914104,0.7239697458948342,1.1394868280215102,1.1646378336605403,1.4002356048067315,2.494247516570028,3.1392495150916435],[0.682290614827298,0.6525855518968123,0.811340010711473,0.6961857090722549,0.7085923619717515,0.6454892592288082,0.5496966192453829,0.5434031995736291,0.5205818688422296,0.46950188803586845,0.47463863727364564,0.48760602282320764,0.5140810712363002,0.4669033544545837,0.5074970410549996,0.5262304168211271,0.5158637879569241,0.5425046314595607,0.64414659784515,0.579027190240346,0.6498999881228807,0.689715876779619,0.8941106908224306,0.9426470616528604,0.942695704467828,0.6875245794519498,0.6816762133977362,0.6261775754335014,0.6182326890889107,0.5526697188749798,0.552472490716439,0.5612837820110038,0.525049579452796,0.5528155362554039,0.5548474281116604,0.5594281016315208,0.636782663214154,0.7673236671802881,0.7465025751567597,0.8906754417301583,0.8390243122326161,0.7536342611200021,0.8033041211015021,0.9033451709176896,1.0626924070970671,1.4200644124176147,1.579586550870913,1.064752320302255,1.6472396955688047,2.3410076511342583,1.1923483038393035,1.6049623944368845,1.0357633675243905,1.0442823126990577,1.2902114407495093,0.8986007954571119,0.8659784088694691,0.8591190751898409,0.8270626944491675,1.2861700978437816,0.8894466199663561,0.7459420928653392,0.7569575460021141,0.7836255687502567,0.7595475523677253,0.7369432504898761,0.6937187137818862,0.5654938377870783,0.6971747775861751,0.6703058408412333,0.8529853588534583,1.0831445880039405,0.7591703790986646,0.8553749945545305,0.6337781103529997,0.918579472495754,0.5928937758440522,0.5539594195676328,0.5574551123386705,0.6589389216897619,0.7422119191524363,0.8177827618315269,0.9129307683069499,0.9376482233478142,0.8750350297528873,0.6967003925925679,0.7400833633113824,0.6723295578304026,0.5744983011680446,0.6204094705652866,0.5498687878720603,0.7165523102913943,0.6767971356707293,0.5604817178367031,0.5680594893601136,0.6182424385266069,0.6778921973870364,0.5387303585840536,0.4914009698723724,0.6105608707300457,0.530910880501308,0.5870940742054905,0.5953308016249912,0.6935037762610984,0.8255586155462961,0.8205350340876124,0.8250987032835219,0.8245055579994243,0.7577322268043204,0.7427964797988603,0.6895395099223164,0.6381846811839775,0.5335074175405731,0.5531121912287248,0.5138168538698551,0.5696936792990289,0.629666094702237,0.662841688865112,0.8009945399642192,0.5350513700186931,0.5552084689807617,0.49406563042158125,0.5242200619066466,0.4500429676095549,0.49653910239310917,0.5520502997973926,0.637608891721719,0.6299406406348548,0.6797737231355737,0.6886255518535692,0.885025116525676,0.926623035741699,1.0625686976549777,0.8566462471581068,0.8904845858626091,0.7460945382280294,0.7984464133912454,0.8944822045889862,0.7680862563141,0.660502623655129,0.8681108433881574,1.0392407599534792,0.8127573038123842,0.7663012291800368,0.7766215309807613,0.6803804655295822,0.6622041654085834,0.5575117173417454,0.5404386437185923,0.574335826811064,0.6055341313981148,0.5779752526939818,0.7421393615087029,1.1846109046386868,0.8412802834327182,0.5673578827076189,0.5166176861898419,0.5473816481376552,0.5629964760381296,0.6648761595547208,0.6753919649266792,0.6680936617447848,0.6802575588791756,0.6568706602967418,0.7317792186222816,0.7906181142040649,1.026096184489057,1.5191418994496688,1.7660551979805421,1.3605011802319615,1.2601745732978604,0.7355013272417258,0.6747449468609193,0.8087495108504562,0.7427583239305903,0.7183869480805671,0.6313238084700177,0.7814544302866611,0.7505226895444207,0.8612250580146563,0.8518738379712503,0.8412041301287648,1.0000669862057134,1.1308034324044192,1.1847784165212727,1.010670437163182,0.9202154401042218,1.2935564502998245,2.1847975677245985,1.3160741085907377,2.1529544375926344,1.9997852388567197,1.8680299806623506,1.6676145097071549,1.4419736211774787,1.5689921127679518,1.347108008536474,1.2015345695764483,1.149958557011333,0.9263443444802173,0.899364581558042,0.7437637866662467,0.6947648186037001,0.8069764157646887,0.8184393843657802,0.921167767491104,0.9120644907935005,0.9763197052087957,1.1448744615274102,1.4158260008134007,1.3720939642142354,1.4858645137903836,1.773623566984802,1.7406590317477153,1.8186729715048202,1.4502377038136878,1.5389002509999181,1.2348858877742832,1.098864284973831,1.161018374399694,1.2075790902859311,1.4214778700860622,1.3308678084498538,1.4268750784887487,1.1957772770435238,1.1479806393068444,1.0392294176899055,1.3232853369051398,1.391816003350195,1.2051180525446037,1.3068449304560812,1.72314174520695,1.743179794235199,1.5066715617170627,1.5977714035162578,2.0693424037988826,1.8515126163983775,1.7973215422938273,1.3110028672618275,1.0712314195082386,1.0969181435845217,0.900751075492443,0.9652805515556934,0.8898514377477114,1.0374315648951489,1.0446656835665846,0.8530396642799826,0.7834324862703331,0.826454737006755,0.8808531420254201,1.123795092940876,1.2984048111500606,1.2723433520136327,1.2665586681744945,1.4945741503471055,1.8123628862477277,1.5535964373735696,1.4492176189957824,1.2188486879354405,1.0708358142535763,0.9889047308788156,0.9747072403140605,1.0275705898620657,0.9807783549090844,0.9877677468004233,1.1111796011117903,1.0809510557942075,1.1192138904049214,1.386775825477761,1.638736881486043,1.3354336303670329,1.537866900348043,1.7444230671763428,1.7747184252088648,1.624407426077229,1.324953219901062,1.6749394737255794,1.6193567901499413,1.4034825278609777,1.2475574585420375,1.0794863574163436,1.3165964519678257,1.3010236580152093,0.963456157439557,1.2249617297872248,1.3588247900947639,1.06668241215542,0.6917799212230451,0.8364169025840831,0.6492202504823503,1.2661337664307064,0.9083044353049243,0.7541986297330678,1.3796189868470192,0.8763937053950539,1.2203844551170036,0.6625697669236082,1.1019027315131458,0.6781249689791746,1.0405923647276585,1.047043402783184,1.3653389307503843,2.358616247693466,2.7878726287701605],[0.6949923696406638,0.6591277154093507,0.7386515873053949,0.6098725436544652,0.6602299441111424,0.5881982563256359,0.4775640391487695,0.4656808392104047,0.4657583822507423,0.3831874069998974,0.4047729136845365,0.41444960121812047,0.4078846727358336,0.3858801110002745,0.44559342893414206,0.4453880969580284,0.4329520873443361,0.4842027333442748,0.5970228830539454,0.542854013615028,0.6747576876508214,0.7079676055026084,0.933129102187492,1.0045726077507824,0.9719774021303806,0.6903029064956218,0.6414034741738565,0.5513563671668958,0.5317906186964578,0.45507608977753994,0.4841393177272098,0.464248333663596,0.4444916814330794,0.47196020601762806,0.47950886765381723,0.4848161828310164,0.5341932667218754,0.6776336936634503,0.6522875492160523,0.8417995254452173,0.803217254602772,0.6751702918044069,0.7243636135943073,0.8769426559637786,1.1003487375389354,1.504299185995327,1.7466870014070541,1.1344714952320667,1.5996492313208406,2.3632410530661274,1.2336105007896057,1.7000046921147192,0.9931313090934052,0.9774614330216783,1.191438534652406,0.8739139170763612,0.8508218463547783,0.768453123029474,0.7608114100132791,1.3285121085929414,0.8805158715859753,0.7490985726878086,0.7388628247084795,0.7873866729148086,0.7708315227377509,0.7446937544334514,0.7299732417859408,0.526154428064295,0.673903795022929,0.6545522110447305,0.8559972074531761,1.1260836298286403,0.7684849660889028,0.8863554862192953,0.6262104182201176,0.9669454786748032,0.560377215995498,0.5086874961730217,0.5207232508576598,0.6239508976746201,0.6456150002072945,0.7220229719764373,0.8013918267105947,0.8895289851203292,0.8007585416194772,0.5890776299568711,0.6408201516084193,0.5778600202994815,0.5170615101137205,0.55178208529811,0.47485712149524406,0.6791068154772881,0.6303960415128191,0.5020566651720331,0.5046497443860927,0.5866641032885401,0.6691876334934657,0.4695729721913719,0.4099643790801046,0.5498158463969164,0.4535676058000695,0.5181057029253956,0.4969382550640962,0.5962700345646839,0.8097844972219215,0.7108253063084536,0.7450585453611577,0.7719781988958506,0.7139089783779016,0.6988902262376084,0.6343538569168469,0.532221036489761,0.4240439267179339,0.42524520110475117,0.40336761059410353,0.4387336945802365,0.5128468008525414,0.5734654159082313,0.7555203620956102,0.4910418157153722,0.5207631958003931,0.4412117388062003,0.4653478710180131,0.3498831111164466,0.38119013325785317,0.42235048700987904,0.6203973598416999,0.5257407966854074,0.6099793537982204,0.6161995514701957,0.8145591327049047,0.8835245612828828,1.0517550379151566,0.849675803249725,0.8475685430179007,0.6642917406228914,0.7172924560568256,0.7981557972971052,0.6287989828890932,0.5776671488964314,0.7385378808995562,0.9962299189382499,0.722206523620911,0.6644055638399485,0.6906219220265821,0.5685492307860527,0.5376246923364763,0.45114091000503254,0.4222663188783415,0.4678357718496513,0.5254393393311737,0.48831317887391645,0.6426641373483131,1.114791973872199,0.778627009127459,0.48079546172064036,0.4205760754804699,0.45739588914636037,0.4600891593262863,0.5649078236678834,0.5546013062255484,0.5608923304192469,0.581231002118002,0.5781645157551777,0.6714797329634462,0.7628345223613742,0.9912599869821558,1.4965641925467326,1.7139498517552758,1.2301380879018249,1.1673196718721845,0.6545578877317575,0.5978243483109068,0.7200841513608848,0.6469704139807757,0.6201302122084463,0.5460248168747032,0.6676397817824397,0.6793379392216037,0.7632066003296033,0.7238044440929079,0.7557262785063045,0.9585259484254584,1.1074267767196135,1.166064493512027,0.9568838259463777,0.8986488337534354,1.3076803300680448,2.242638932402471,1.2803941884901577,2.2567269663127925,2.118914149095867,1.9635846718513987,1.7227168638762143,1.5240084774564568,1.676079296997843,1.3264938922541054,1.180113102338582,1.093126698067541,0.8720352089811558,0.8662950889480788,0.730216287879269,0.6742659061893522,0.7713568196966771,0.8091364794017638,0.9433466322293503,0.9579231366948008,1.0071026985878946,1.169332126618658,1.4842371152346716,1.4666669311925193,1.5505966770287463,1.812582957135308,1.8242380322411724,1.9291403889557661,1.5812681418947074,1.6052432555799514,1.296883090520085,1.1365864836186303,1.21397410612661,1.2395973470949067,1.5610286729290423,1.429970477610006,1.4593271828082521,1.2497197429847213,1.2052458097046386,1.040481453317159,1.4315160957553585,1.4702130401699622,1.2187149549231677,1.3482816877997537,1.8148599237664256,1.7535680609327329,1.5114560178285443,1.6270741955639534,2.121748475583255,1.8612079206207746,1.7753974338489995,1.2620547591458244,1.0630691632505844,1.1213681849145996,0.8999303478848713,1.0115784413591404,0.8734204179933611,1.090938690858147,1.0869505277612377,0.805692515107907,0.7584909339905174,0.8280605091828609,0.8819091745646589,1.1004344318817194,1.27068375244123,1.2728625104510338,1.2596278377320098,1.473071103883283,1.8098155799048634,1.565406203261951,1.4491659659421754,1.23427091372069,1.073523426793071,0.9809558403573946,0.9885418178157194,1.0354470835070437,0.9952009617850837,0.9934374890693554,1.126728532471477,1.0890752582020253,1.080962551533184,1.4099693406817748,1.6246264577618683,1.2680575443724726,1.4957165647246904,1.7798702188110949,1.7793041926537083,1.5403139694672932,1.200322322813911,1.6671319977221597,1.5233904574920272,1.4065893516067218,1.349687515557187,1.138531705928328,1.4500903988192155,1.5158502490420618,1.0484908626692138,1.0218714634115378,0.9811352652174719,0.9155022190958414,0.6952628173297597,0.7550463722577705,0.6146987689383719,1.3903540993530539,0.831398975270274,0.7450031917353523,1.2577296969940752,0.8320768238356903,1.3535788027648321,0.7068927602508,1.0459441535300091,0.6320628863526878,1.0683018499048658,1.0351938847681408,1.3548620885544487,2.358003806566055,2.859454706977958],[0.5854613195659574,0.5778076884241264,0.7070184892543618,0.5439606958478521,0.6145739479580673,0.4883120217315772,0.40348329331109506,0.40886424059084864,0.430755548097344,0.37699734422743925,0.40841373527420965,0.4267687708006344,0.41399427647135456,0.4059315678191022,0.46509685679196366,0.4408174054983411,0.44461531771882373,0.5022162789261677,0.6161648964894716,0.5686645075719813,0.711349585986539,0.7402045628929094,0.9212660905442744,1.0097607482238673,0.9468211608126788,0.7115727894055811,0.6566083094631667,0.5377599749729781,0.5089154536502533,0.4303408173484353,0.5025934447796389,0.44347697265741326,0.44648575235467786,0.4704121002199187,0.4600587227323121,0.48015654860141677,0.47700003359401527,0.6331716131666016,0.6110255109024374,0.7862045871334773,0.7975653930438005,0.6765350989479745,0.7107925955475916,0.9020452999564389,1.0920886735332997,1.501275206716638,1.7155678398664118,1.1038585762450481,1.6405182255732929,2.301364110736658,1.1902023678560265,1.7484421176782534,0.9317343579477342,0.920972381613829,1.1035748765379765,0.85041839512132,0.8469413336968641,0.7348754504810548,0.7442415294729019,1.3705264234260341,0.88789797941685,0.7742696646471396,0.7441304510507587,0.8279401187250938,0.8108238070760737,0.7564052026613343,0.7777313396669794,0.5650827322344237,0.7098589498984241,0.7074870901067403,0.8894846308672238,1.164271701365547,0.8260044689729525,0.9392756296068075,0.6741571941530713,1.0660050327009518,0.5930299732188267,0.5403102758249869,0.5328694188518548,0.6105716899698713,0.6054342451478387,0.6650783013555707,0.7488421684306517,0.853387491604908,0.8236334332462749,0.5333949841482634,0.6004014446657581,0.5473569267584131,0.5303792654893499,0.5610158800403743,0.5029476205916543,0.7272658728069441,0.6677496322372818,0.5256486538116731,0.5126872522836384,0.6288626898688965,0.6997298036009418,0.47885098080182126,0.4150163964419462,0.5150578246291426,0.4233785907773337,0.4735051838991486,0.44149016520534556,0.510075923158782,0.8180755205729424,0.5975475716941273,0.6227635843251247,0.700694930941977,0.6039002450655382,0.5998851244680017,0.524180528915391,0.42629361287243,0.3504234887563655,0.37583205205784326,0.4107089004776492,0.43121862191704086,0.504320792678238,0.5727369869564979,0.7780204460779075,0.5213337293633145,0.5656304922523657,0.5044993380942465,0.5072365911440575,0.3739057567898475,0.3536738043778771,0.3716474827111258,0.5161619817436969,0.4592000747268599,0.504786605290022,0.5357948022770214,0.689801991354,0.7416124978853468,0.9247531657041932,0.7222626502216868,0.7496666084996114,0.6848267187921582,0.7296362785548086,0.7872130838656438,0.6289732374369936,0.5783510952933507,0.7104298012398015,0.9945585586144762,0.7110239743626027,0.6378473008274423,0.6541686194029237,0.5334885820833014,0.49170960056306856,0.4161322376429122,0.3619340030586089,0.41396898949671457,0.4447528800776745,0.455984999121481,0.6078879895481231,1.1311425561498092,0.7961854418284584,0.4238500767155458,0.37467891973316114,0.38404514648294574,0.4081891531104744,0.4827559765081366,0.4869600490733005,0.5034674350992516,0.5381295886326047,0.5695565092728376,0.69794607803236,0.7885921065044595,0.9649503261992689,1.4282739443207952,1.6593310880025711,1.2775563174373663,1.24183736487754,0.6989716289482167,0.6302345034200881,0.6653060207696364,0.572878230038655,0.5231990736234096,0.5005252069023245,0.5788730541892206,0.6103502787848712,0.6333589403789482,0.6950625027440265,0.644737664881122,0.8512410215499034,0.9960606127847929,1.0407833519619039,0.8902980222691291,0.8644367141076224,1.3161807461458972,2.4664907680548622,1.2868425026134913,2.420885013481144,2.3539387689528506,2.0162885906745536,1.6990735011678457,1.4256780318220144,1.532844699928555,1.2068644651358762,1.0490702627782658,0.9765068381853924,0.7312918284608834,0.7561467376374456,0.6247635280970535,0.5736583274933689,0.7070926219833422,0.7485639392574797,0.9237586315508148,0.9331452914367611,0.9680873698297978,1.1442214826222574,1.4540969292072023,1.4084102609106968,1.4991052494769161,1.7815093620793785,1.760825382822429,1.8288048808528552,1.4823565753539278,1.5480141418381717,1.2360459762585012,1.0854372394290783,1.153841854578938,1.1455919960132095,1.4024165561637083,1.2956450483377429,1.3997688938217303,1.1429167116342256,1.0662004716242566,0.924064266699696,1.2515011303212455,1.2955816518051415,1.0926614401328494,1.1955050245249021,1.657039599725795,1.6140324039411011,1.3674852748534891,1.495354989250072,1.9722027529891388,1.7442052894558926,1.6612743464029547,1.1516574309329062,0.9201714225515703,0.9746233181624149,0.7989332514647456,0.9141736941779067,0.7733343058018387,1.0132971969420363,0.9663819493550128,0.7497324151068511,0.7090333855799297,0.7610553730022157,0.843909222157306,1.0953474177896931,1.2943372629200556,1.2776257810367253,1.2447865080284335,1.474999294292078,1.8087234566910122,1.5445717392584575,1.4239268266327794,1.2003891662274035,1.0243857348423686,0.923235248099515,0.9050320322994164,0.9592141533286612,0.9326706437849975,0.8943326707857578,1.028588120330591,1.01404935924623,0.9986559050976794,1.280446386914548,1.5115347304709768,1.1956251938484808,1.396218681879858,1.6464073854553625,1.6887799566630657,1.4827098835630679,1.1755108097438383,1.638181205498507,1.5468885150792986,1.3758305999528004,1.296798107896399,1.0991861880931661,1.3800486984973073,1.4138834132758658,1.0077540965015945,1.0684383315689356,1.0194440117335106,0.8736456811248984,0.6425528340006794,0.6304640449285441,0.5560786688106149,1.4319912390166054,0.7287674001063423,0.6411471837809647,1.277408951485966,0.7257283094100833,1.3468977280627972,0.6209187383706147,0.9962001395626273,0.5384493497011965,0.9195437720040346,0.8968992127670908,1.4328320376727925,2.351450050529584,2.6711978188578467],[0.5720031328715668,0.5856791927114307,0.652237913409527,0.49761370951782785,0.6269416977967301,0.49131970431545147,0.40036919011439553,0.39914774683486204,0.4122464999375492,0.3338487340805867,0.36272946741322915,0.3813639159727892,0.3779749951715797,0.35933890679059316,0.4228989771014841,0.4100650145635645,0.4112647158343285,0.4665746597189605,0.5897430892335617,0.5137909595259006,0.6212924408713145,0.6652681146254924,0.8714486966557263,0.9296070852714496,0.9044259110489803,0.6442001024167464,0.6173730501731931,0.534324930036639,0.5089561061016914,0.41929511807348724,0.47117176624620694,0.4251041547540865,0.41253326883641045,0.4411150879574096,0.4421097121619238,0.45339815729989075,0.4915783833026756,0.6614005875871296,0.6270263071965136,0.7883763010251077,0.7661997031736131,0.6567917900740923,0.6976710513214202,0.8459306395928748,1.0428333805005983,1.430197198852638,1.5995300345820904,1.0494929142898508,1.6466301304921218,2.3108782281853903,1.155848923154875,1.6641798049072385,0.9249814840280427,0.9337931448821626,1.1568440474906017,0.8145880505193211,0.8034298217137141,0.7475510367886128,0.7342772654841624,1.2915054590300912,0.8525688820803439,0.7212008487487862,0.7041687193840515,0.755988753504987,0.7418254767174245,0.7026404873327193,0.6722552342505456,0.5035149764467631,0.6564491846548057,0.628286648897134,0.8387271347279908,1.1044418819605037,0.7408511135215488,0.8574897725102871,0.597850800563936,0.9466184666726106,0.5335137689679562,0.4864986168473246,0.4842679790098449,0.5859794668733244,0.6102695348594163,0.6789480422465893,0.7681595647302509,0.8249765306069559,0.788706679203175,0.5479929637795662,0.6115319338136797,0.5393692494806142,0.4906214927252694,0.5283479470037304,0.4600554050761204,0.6672592554560349,0.6168648367967149,0.481675323718803,0.4770515917030447,0.5621343494914208,0.6475347325764739,0.4392365186945293,0.3779179242057583,0.5071852728930702,0.41236225715792085,0.4716618036516914,0.4502613216804516,0.5371853576433956,0.8099699108055592,0.6312114868052283,0.642718536115172,0.7164788181960633,0.6186235068609806,0.6144003219659817,0.5454888300447633,0.45025066068104114,0.34925534946829173,0.38340128234521137,0.3797438055278314,0.43104700267230284,0.5097951321158376,0.5749937717088587,0.751071705145691,0.47354238556861783,0.48931811903090006,0.42353767875298426,0.4495489747066627,0.32911604012546664,0.341898231982439,0.38733410766379,0.5337086247076004,0.47066228265334903,0.5225883784779395,0.5508492908880549,0.7020978547938787,0.7365114652890427,0.9099080783285688,0.7120437906438858,0.7514192784959396,0.6803045256420392,0.7625004697473549,0.7992042989971927,0.6543109999721859,0.5542703537926352,0.7575390435245889,0.9785852242578051,0.7239170567591666,0.6553722071172214,0.6673246831191806,0.5554243271461883,0.5196353466348346,0.4194476702892089,0.3648825714803417,0.4176392441806612,0.45087373438733236,0.44427932443359286,0.6029617316328195,1.0867985746930453,0.7653392643275527,0.41962334118231215,0.3678073155653158,0.3892941157059343,0.4089020601308874,0.5061709722558586,0.504926346166831,0.514015787282406,0.5417924442879565,0.5484657085749158,0.6602169954989036,0.7482648525208678,0.9605466584661917,1.4410198544954786,1.6974239553335804,1.3352604186337202,1.2748286348812803,0.6798161866896997,0.6100619822360298,0.6734055002380254,0.5902105400097313,0.5460034898283049,0.4990147678148826,0.6028254127691867,0.6138403902249497,0.6638746372674603,0.7002961036388914,0.6692696790470714,0.8503698318575638,0.9904184416132422,1.0417423779037243,0.8918024769550209,0.8392303610425434,1.2626227013102156,2.33462814160192,1.237829789144112,2.287380059612187,2.2219167409941236,1.921161794992729,1.639877481646568,1.3540380111118422,1.4431639138851489,1.1890238673853295,1.013151414077558,0.9515405693844772,0.7200960389987624,0.734520316868611,0.6344588578931734,0.5855763637300586,0.7111186962689312,0.754788181054406,0.9453965364862865,0.951030214411032,0.9737678043463447,1.155051916616135,1.463438042193778,1.4114055555715954,1.4911270167165736,1.767973046010844,1.7626033610083187,1.7838463074217994,1.461645191420049,1.529396269680109,1.208465718060522,1.0690615454585106,1.1307356145201977,1.0727783018054102,1.2957530665055235,1.1982387588462349,1.4064868466334879,1.0903025640580515,0.9988905427667306,0.886278494497164,1.146447194719094,1.186352877029192,1.0315830775246984,1.117416166652502,1.5274670982287406,1.5121129211968456,1.2837410740141826,1.4091114867251942,1.8415228680292977,1.6404791467241109,1.6015038967379995,1.1045043100481897,0.8794030839586728,0.9177450602717621,0.7860369291633161,0.9202517305489117,0.78684311312545,1.0317688227241126,0.9771728805698368,0.7431428072227324,0.7110361789875246,0.7676888653896963,0.8642961284078944,1.1075216374001533,1.2980178680464192,1.283864465685546,1.2475371025075512,1.4637653240975261,1.788101283811429,1.5330613922576801,1.4093039471835112,1.1975255085080065,1.0241027130844746,0.934630843961065,0.8951419313016872,0.9352906925020038,0.9269287152554415,0.8705357890568636,0.975035493708456,0.975842835810402,0.9611776681616034,1.1869892458520979,1.4028533714401454,1.1429187764732844,1.3282762730517976,1.5186968092606588,1.5861398604441217,1.4267851466309092,1.1555976582034435,1.5806028007730635,1.5629631079644646,1.3453716556102133,1.2933412987648258,1.1058159738453495,1.3955932721721398,1.4341218522237538,1.0200981346995124,1.104815232766392,1.0792233256702173,0.8740684004532893,0.65781906969337,0.6289419303558443,0.5571803425222709,1.4688190822677787,0.7410246435189496,0.6499198092828529,1.2884411256350425,0.7390309271992603,1.397575285613311,0.6389308742263013,0.9899066411392548,0.531261238157925,0.9006564714585374,0.8844675571932629,1.3677369553812537,2.2836986991300527,2.575756867781353],[0.6673527363471378,0.6597028775164977,0.6509332219505891,0.5448406344232235,0.6726878367298542,0.5907397630741236,0.5115766848466021,0.4998321516085347,0.51703852328472,0.43659457807705015,0.45314022610063504,0.4589660757767385,0.4687502914912205,0.43958471151170003,0.5086589950039461,0.5213629961148566,0.503220929374081,0.567876759608426,0.6763017708725088,0.6222498755741891,0.7295040805646432,0.768740064195475,1.0175723776439625,1.05086334960623,1.0434487434786568,0.7644029005478824,0.7147289327704166,0.6458489996532553,0.6271902655934156,0.5416699493758749,0.5537571867259035,0.5355876708246955,0.5156226588541394,0.5588561754009845,0.5654690524427456,0.5818590743334782,0.6162615124165902,0.7691807143949739,0.7451717583099158,0.9330083619535926,0.8827779630896644,0.7627908144810738,0.8218837592742322,0.9316284677640099,1.1329527005135636,1.482684737416726,1.7081907936705822,1.136765417094356,1.5777147471867106,2.363232835437993,1.2486366989282498,1.650551638157203,1.050879373843455,1.0442646518821401,1.278187423094936,0.93690034922561,0.905449124719241,0.8621722184673261,0.8476169778753223,1.348933862953955,0.9535883259588965,0.8189908327514659,0.8031871039006199,0.8619262722662551,0.8402944022716596,0.8107310046329287,0.7688165614215263,0.5973201952618612,0.7271801359313411,0.6718765831223054,0.9128494721661874,1.1809890283309787,0.790434258867088,0.9170981638126192,0.682212885879487,0.9141729344162198,0.6401420381117133,0.5963726329957649,0.6111582742604073,0.7128171685742727,0.7374911418212035,0.8029422583928758,0.8577787089879342,0.9365091026836355,0.8293242848671908,0.6619028124199312,0.7288288535687536,0.6506673100629152,0.6062413358764479,0.6378987340275056,0.5536729312080627,0.6809162004516194,0.649860959747529,0.5589436930298006,0.5625694505728058,0.6180264751218256,0.7187691137941434,0.5325113907898488,0.47499744002491356,0.5882385567615941,0.5100000977505185,0.5519762986994581,0.5522288803526129,0.6187588071248349,0.830589165684058,0.7198037647945474,0.7338640703296563,0.7695050023403507,0.697804076428329,0.685967685484809,0.65169969608507,0.5520778239407392,0.46763114687112084,0.4622996670147049,0.4533594484904722,0.5010473328929216,0.5919734665919336,0.6482503910909437,0.7987116735649331,0.551229731596315,0.5530540054018053,0.46580004727413327,0.503014382453032,0.4119891168474018,0.43131870900833474,0.45823161432072246,0.6621872206275076,0.5385764792925504,0.6111520637982686,0.611852110985212,0.7821365564614717,0.8482621752864938,1.037595265913487,0.8566799840556676,0.8568457293376789,0.6682021906114942,0.6989075307347898,0.8205842315433124,0.6620946782682743,0.6424618354177218,0.831394387232553,1.043121064388902,0.8077770118930389,0.7505850333486014,0.7787413693320955,0.6586172751260165,0.62257141481278,0.5131919462431035,0.47871925736567245,0.5075633240975785,0.5462710730724624,0.5141059482512664,0.639587846411195,1.0824565404584987,0.7984518423311324,0.5209313810176729,0.47618729944876076,0.4942110162068803,0.5142626404452368,0.60153817786705,0.6060477756480223,0.6352988003809591,0.6593802197753046,0.6378544034357748,0.7114069895519758,0.7950642838759234,0.990998053470006,1.49986819030682,1.6897802416335328,1.2019132895252738,1.1244165229853402,0.6565590511093193,0.6063417910766358,0.766544706572767,0.7013361337319348,0.6675635191152441,0.6128256410932169,0.7149871760055323,0.7451222547258758,0.8068745898114018,0.7538138035729222,0.7810926661513156,0.9863268467434617,1.1337495124517245,1.2018577045380672,1.0087645928398477,0.9675570587529324,1.3313615452003127,2.152644465455807,1.2987737559741028,2.2303829312186085,2.102771443453891,1.9587950648947385,1.7187211587749887,1.5099189739791243,1.6361107417676721,1.2850018696523704,1.1171474166044522,1.0059882032777132,0.7987466726312168,0.7896708156686083,0.6912691961781263,0.6468682256220527,0.7278110941445652,0.776486506833553,0.961016982427141,1.0369513012799956,1.026324183277794,1.1607385003874964,1.5241972131013266,1.5183399587673798,1.5557485312914243,1.7945562507631838,1.8726818594950003,1.9147105144515475,1.6368902286649138,1.596850187731574,1.3185017921645672,1.1328627444656372,1.19134280955166,1.1121324004098487,1.418288592529652,1.2863659569153891,1.4068034249319548,1.1577850466029591,1.0892167094928775,0.9497349965968196,1.3186359359400222,1.3200291177880763,1.1016402414357465,1.2368514067246075,1.6800989753171804,1.5859922080485667,1.3757979326554575,1.5216302877532883,1.9535288448420112,1.7134857760612252,1.681633489246266,1.1543584083692957,0.9949125555295747,1.0485939959620394,0.8375492344944806,1.003301894781649,0.827932782470038,1.1050124021561607,1.0547640891202956,0.7324806510772891,0.7162157772429016,0.8041292603168397,0.862414973467088,1.0502236328179428,1.219294009391796,1.2487798382012365,1.2149128550662776,1.396726495838062,1.7482190441294458,1.51386634300476,1.3746374212948995,1.1921000151591714,1.0218964953479721,0.9345859443594624,0.9267421267252662,0.9586319056154304,0.9569520405927813,0.9141854649697724,1.0191258464818957,1.0104875126755086,0.9767142758876092,1.249828386475797,1.4096559018397878,1.1151519299496289,1.3422707384981196,1.57381743780002,1.5945587037094506,1.3895758376953862,1.1209046740084008,1.6521246911740053,1.6224814572803476,1.4357419398978866,1.4989524484390442,1.2391319309815343,1.595565816196629,1.76344178467474,1.2615294414941598,1.098565873948706,0.8109319221347545,0.8148316283188248,0.756291413493272,0.6834084178002645,0.6080171965738054,1.5177674176362588,0.8157584201823201,0.759815947507411,1.1816055947817234,0.8541832260500106,1.5257772754775214,0.795310491427523,0.9941023525495365,0.60322825753685,1.0386878659392946,0.9386337661234924,1.2280513987075807,2.232317678150629,2.6612406704103693],[0.6291788841018559,0.6328042828168439,0.638491858027419,0.5124720378761242,0.670864393285157,0.5391420821160007,0.4607712571672124,0.45371744072998227,0.47594346420989825,0.41444407319834836,0.4411644457832184,0.4310254998629841,0.4577259249038786,0.4253375923540173,0.48960924449762083,0.47810680829501134,0.4834764358540292,0.5376668456173008,0.6351416288319613,0.5926471747275196,0.7348727341150897,0.76803692467831,0.9939316881312901,1.0579913173844187,1.0089824274599009,0.7429024888795185,0.6686756704670302,0.5704900460298622,0.557150969177633,0.4734503206110685,0.5247768060305018,0.4855347564028271,0.4764052478091933,0.5192339075639713,0.5163725902039408,0.5291038467352148,0.5416435631279733,0.687286911222887,0.6459376673774355,0.8461907907334109,0.8255714647312331,0.6991278121599599,0.7494878410357656,0.9339639786041817,1.1346222630044136,1.530343497012236,1.820310535256843,1.1843582256544438,1.59642494278073,2.369744903858187,1.2870602137927458,1.783467626880808,1.0072824666900906,0.9748540651133741,1.1637240223174525,0.9160720272449384,0.8928298600062842,0.7748014767605808,0.7823816085065595,1.418842745316647,0.9240503991722446,0.8046286586428358,0.7689454327591786,0.8691048426260883,0.8380574023109228,0.7898087811386131,0.7942965064813333,0.5865603409744399,0.7271049211869173,0.6950092229343033,0.9235569063643152,1.2237486036230285,0.8310815343823515,0.9701528691001848,0.6935457295904249,1.0053439755125386,0.6220650727139695,0.5711775172090763,0.5782484379635273,0.6705349046784642,0.6541919461029115,0.7086185363130665,0.761507069470391,0.9345216602819036,0.8347092532758021,0.5784745858045133,0.6408911048279795,0.5885142336379535,0.5651434946702524,0.5965277786741116,0.5296003979858016,0.7208548137030872,0.6662340462462227,0.544472146053942,0.5392845444187017,0.6344278374105982,0.72406565887401,0.4993351541498016,0.4449848350964002,0.5346796659109228,0.46974185628242465,0.5104830536033517,0.49778689562009315,0.5640113553398016,0.9142892500441906,0.6507912306743195,0.6885774892175748,0.7610470895871699,0.6774476918523986,0.6717919626080272,0.6267529785110356,0.49105911271507285,0.40644336731598185,0.4205898574313363,0.44603130505925564,0.4511423741337635,0.5154460411975653,0.5734595044380726,0.7708878881603252,0.5427013814097125,0.5858078894652857,0.5283952907987614,0.5311420346468118,0.4268526448212221,0.39961268092490243,0.4049531944300403,0.6358610031936943,0.5340428544200966,0.6005635552915223,0.6096188651700452,0.7385886795491851,0.817125127409754,1.0074611214944293,0.8327390361034578,0.8193586811142408,0.703391602692369,0.7261572679046616,0.7836270764820372,0.5905677764648585,0.5887138496444114,0.6933272737088689,0.9870494396162159,0.6988420471834349,0.6360861147374974,0.6758272834773585,0.5577335741181231,0.5140025366560352,0.4597755735191195,0.42432929819415655,0.4574989012534072,0.49729233069353584,0.48111813791662017,0.5907186717822202,1.0493877816218768,0.7633435506248256,0.4601370652689414,0.42476740880007613,0.44276953698730387,0.45818891917219196,0.5455020340806338,0.5317273993020514,0.5498782650030243,0.5722164599316857,0.606451957605547,0.7205049379901856,0.8020875193702002,0.9769760645861042,1.4393375287153076,1.6163428740979977,1.1699671791574737,1.1515259682403638,0.6810882944728607,0.6396434298265143,0.7041807929542135,0.6246248207679266,0.5868602166335493,0.5564951798101958,0.6149359724101241,0.6869908294941235,0.7021664046541976,0.7123370149386687,0.705375746788954,0.9231103470546218,1.0721545475399048,1.1164851021530628,0.9396943226812201,0.9185286090932915,1.3759835600679717,2.407837795367152,1.3336765157489272,2.451675411765992,2.3652893607073495,2.0888087706744343,1.778291836260011,1.5412150641028455,1.662908719798672,1.243018114920646,1.0858738745900347,0.9715051111817342,0.7591772010536255,0.7840783785035288,0.698942114997062,0.6570156151476533,0.7456000161727051,0.7890725635910893,0.982876827516518,1.0546087237331192,1.0347694451996172,1.1658675157021596,1.5238610828084778,1.5079167744228579,1.5477903488446776,1.7902609957861226,1.8483433178433295,1.900874007509804,1.6160486088668953,1.5867567977015578,1.3204473458369448,1.1368104986290615,1.191658887213195,1.126269519769289,1.463757407887287,1.3218860721343342,1.409395418677728,1.1738408532428495,1.1048792830611993,0.9522564229540837,1.34971186483813,1.346567612682873,1.103090624784335,1.239357830123937,1.7130730832149388,1.5774209244111586,1.358753944117536,1.5196845797804934,1.9472199719912844,1.7051076239393386,1.6310302801734091,1.1274608952987721,0.978502968009323,1.0462092972478518,0.8488979498642815,1.024819218741172,0.8452416333251306,1.1280657404626466,1.047041966361178,0.7383314937555705,0.7180624429086677,0.8070140642528614,0.8759900730817467,1.0584287200153921,1.2345464225479177,1.2586470331195025,1.2152443695177684,1.4011325684823421,1.753440285035249,1.5142186048130835,1.3728253785151454,1.1889020445225993,1.0186109558834224,0.9384506195069302,0.9373991006702813,0.9563011005313065,0.9588554812311019,0.9227705328669337,1.0291144260932485,1.0165430942646916,0.9783199601296245,1.2671113783713877,1.4282889789070201,1.1145548851661162,1.3339024563818305,1.6038555340398906,1.6236016226504577,1.3896585660218517,1.1217914479079383,1.688195276487533,1.6124312715938656,1.448120437896324,1.4865239720346044,1.2363833115469087,1.5717682979922556,1.7159376719039947,1.262115350566716,1.1084964802714257,0.7965881648666228,0.8194861072936318,0.8131872293655811,0.659124183436471,0.633138712043283,1.584987159075408,0.7783799658624837,0.7415910754614177,1.182260497422164,0.8545066781637729,1.546887501148355,0.7764628471416998,0.9759370327906977,0.5715121087764149,0.9788310905144615,0.9068386111793718,1.3014164347183395,2.267419487608424,2.6548276143206904],[0.617349686642446,0.6750750823865966,0.6413749976790989,0.5401653735764714,0.7738368748944848,0.5852939075931579,0.5247130279317866,0.5200725419611436,0.5329851277303687,0.466152938901137,0.4856751169261099,0.4801377323729999,0.49391650724433916,0.449109698422606,0.5034146743371289,0.4936804246534833,0.4934774378188925,0.523647473798305,0.6082964158361923,0.5632440648180881,0.6922394254296885,0.7126255732609844,0.9474960770630056,1.0018481086221251,0.9693373982745653,0.6997324579322756,0.6360375673141442,0.5455904042002613,0.5421771215716975,0.4767959899919423,0.5219028963219587,0.49534811381768673,0.4895061217039918,0.5156411631746182,0.515389576480204,0.5192139641274635,0.5368917697534267,0.6623109708149952,0.6052521053191058,0.7825841699471671,0.7889512261785326,0.6582776074122235,0.7012476655501391,0.888956188161931,1.0689256766502662,1.4689912404376197,1.702137943735483,1.112348072607379,1.6330697473562392,2.3400684971233816,1.2145793189748917,1.7813515577859014,0.9440027834964093,0.9198946595191744,1.1027763858442154,0.8619324783274839,0.8460871206668631,0.7329489902153353,0.7327324694045625,1.3788913876322217,0.8804137279342541,0.7640100528658459,0.7389924698051629,0.8251746559259304,0.7886657581406507,0.7523155276408854,0.759946136417784,0.5581336638122941,0.7059876940448018,0.6797760765141799,0.9179187362459517,1.2194420704900366,0.815730046032417,0.9464449763377931,0.6724302319806573,0.9854056209541836,0.5928641379294912,0.5487220561062057,0.5511264729082703,0.6352695457087256,0.618907966441211,0.6649038136162599,0.7467213692393986,0.9111250972573129,0.8474330607532494,0.5525785039039058,0.6046935265204416,0.5723124701605528,0.5468515853768188,0.5918119998783158,0.5169271505327611,0.7134266036333351,0.6589855546640601,0.5469121674955252,0.5456775866784519,0.6477481492911676,0.7425884301229758,0.5185966439346127,0.48234259862761997,0.5710380315842079,0.5092664952108121,0.5547697943135286,0.5200792023752584,0.5996867861225359,0.9800403430000695,0.6549253677335174,0.6935545430863937,0.795211387316201,0.7040894730327667,0.7025115992517783,0.6729916851495858,0.5134116466941221,0.46250006551257794,0.46531468338874205,0.4800107811601909,0.4587778385453833,0.5028903274818187,0.5499175105941002,0.746811243912987,0.5248194278174817,0.5730219673247818,0.5376748706042463,0.536508114683235,0.4664501276974104,0.4540586169057491,0.4572795819590761,0.6667773621537317,0.5916261143646322,0.6385593340394713,0.6557083636604081,0.7249862095728599,0.7797368585190151,0.9448716623600119,0.7917867117195982,0.7957682463614697,0.7757699168555073,0.794633747293971,0.79058162604856,0.6000239637045265,0.5846948798607574,0.6606422521609971,0.9635084350575437,0.6742541026721167,0.6057296145336709,0.6338937291303582,0.5347293292194665,0.49725691787141707,0.48181061134460207,0.46050194640517467,0.5042483742779418,0.5490262870189742,0.546489436769046,0.6100273873035884,1.0600331234154285,0.7947750002935776,0.5074950420359324,0.47675316608764073,0.4909535691154759,0.4842265986339076,0.5608485234401641,0.5290789379937625,0.5299270574216687,0.5399940999976351,0.5870343961890612,0.7088084933951075,0.7743309891682113,0.9531162192901971,1.3886449451461864,1.6239187393386696,1.2844660870719857,1.2747891173600907,0.7191506233264124,0.6654422829217389,0.6665661317779327,0.5904899747840514,0.5671083427619001,0.5578024208727843,0.594606171481406,0.6525736176270356,0.6527228924901943,0.7064488106323683,0.6748954870626643,0.8486289281715754,0.9794992360093668,1.0102806706062721,0.8773932394050058,0.8569708508544676,1.3195436366029343,2.5346334031005866,1.3041998693327939,2.489755879362316,2.486454337456205,2.0832145644984275,1.7422864282831922,1.4421160278242504,1.4985905902466277,1.1510266777071045,0.9856510484292561,0.917641003777995,0.7193196739992519,0.7735919107200352,0.7466331551146372,0.7218741927837387,0.8182659406717981,0.8601169883565802,1.0823451365834529,1.1372503779966971,1.1010232561841398,1.2402406247044555,1.5692355696389206,1.5275596297750709,1.5617394893349676,1.8010983342422704,1.8414293528125805,1.8370761889146379,1.5817706706317833,1.5847251571603234,1.3162937669509496,1.1611555575024908,1.2068829934679384,1.0803516464760163,1.3153338820721294,1.2163273100239425,1.45217207139665,1.1346762133461845,1.0309438493223442,0.9213158505696011,1.1860541318957383,1.1747797293244744,1.032449451803194,1.1128781377006012,1.517176830018885,1.4140491028250228,1.2157980920513891,1.3655945463931114,1.7372596068771278,1.5474107230101874,1.4911285391863813,1.0500309070157117,0.8958573712939235,0.9552647595503078,0.8637414949766612,1.0348788372119129,0.8707877067029958,1.1579150228939488,1.0387787948436016,0.7848211278842002,0.7667808660739984,0.8495503981285721,0.9664350397768638,1.1458883838681597,1.3257758150897974,1.3388077843013675,1.2806748437946056,1.4579419500436284,1.7831254677418047,1.5500268731702453,1.411015344816374,1.2374434899925835,1.0720743660649457,1.0020876336863356,0.963399844449577,0.9756856025785908,1.002258557018118,0.9172775866918484,0.9991505921478556,1.0170825775389005,0.9610899688266232,1.1474511665511156,1.2988466913611059,1.0774859390261864,1.240622594550772,1.4392519515981907,1.5281403182592599,1.3648298939107824,1.1643440170755395,1.6904872227754972,1.6833178623681786,1.441955269038606,1.484938259250237,1.276277400085562,1.5890267316646103,1.7008979563931927,1.2985294578079665,1.1957546604668945,0.8954199975483323,0.8630020527169402,0.9072778461162683,0.6760281364398254,0.7297671598282987,1.724212774231474,0.7774593634470559,0.7684074901884453,1.231777080197671,0.9482747996242256,1.6664033938834528,0.8676055642328149,1.0065788604494783,0.6341995473004611,0.9411346340617525,0.929470621340956,1.413944241156156,2.3180768111339423,2.5981104188187882],[0.725816107994537,0.7674940339829408,0.6292518108717642,0.5667696785126481,0.7869312824811993,0.6795670594392917,0.6598145219005332,0.6585726737374116,0.6943134645556744,0.657778472160543,0.6744544726603113,0.6665575237463268,0.7055042383665665,0.6985425650162465,0.7618231180795411,0.7791632002148207,0.7585337822633889,0.8428927837758389,0.9674763915129105,0.8758119769696517,0.9692171843866383,1.006871311283021,1.2494307721832743,1.2824406584485113,1.2472474676035297,1.0134844973290278,0.9662084429286417,0.9054301700019483,0.8709599979176721,0.768019085521569,0.8049756890999185,0.766872302408633,0.7593944528367451,0.8210848655310705,0.8101326373697989,0.8430862741931907,0.8106293797213704,0.9473112489546761,0.9337375083720737,1.0605790737916085,1.0330315430036126,0.9778747160855207,1.0197157924445517,1.0571045315529395,1.287006013836794,1.5735343176950394,1.75627038945143,1.247233746706383,1.6012985184939812,2.3468567924414923,1.274622696887015,1.6344182252833988,1.1326946485939688,1.1544869226679055,1.3911144922350562,1.0446045107141655,1.0266643274765357,1.037550078065621,1.0105941570016954,1.3878104153553137,1.1439194621113826,1.0094619718979523,1.0431338331451128,1.061357957166292,1.0152819837127045,1.043939584740136,0.9883801748387451,0.8764961886058474,0.970757523943928,0.9067261606596301,1.1497191522646466,1.3711819223907744,1.0021872631597666,1.1247363782065265,0.9378463383140964,1.012051974018642,0.8995285489630745,0.860595462401758,0.8623265019485538,0.932829906618467,0.9348575284811362,0.97141829743032,0.9729134542714082,1.0496650695611527,0.9373258918920492,0.833907596465517,0.9301676220769053,0.8628826289534508,0.8530057421595048,0.8633369933321501,0.8425446953650396,0.86994061589561,0.864991414220954,0.8097717334766363,0.8057078117567533,0.8327660323696862,0.91775921026554,0.7541810671251427,0.7032739226460121,0.7536660335973133,0.7174192182611144,0.6851419372109464,0.7061579267042069,0.6965173141134683,0.9188073012575906,0.7457100117516295,0.7546362641377747,0.7858699452390651,0.7191673410391171,0.7547760671029059,0.7336725628194679,0.6598542428290504,0.6258044958789462,0.6443247329750023,0.6761502987324103,0.7573350522733,0.8531754429418074,0.9199242251115803,1.0435593431226298,0.8546792980590673,0.8373144609494454,0.7369017818329701,0.7724198837002124,0.6872055281183338,0.6344496632507383,0.6400817420965816,0.8127718259154206,0.6505938190016066,0.6858626967641409,0.6763844881093709,0.7361815004258433,0.7917713708169094,0.9615151335996684,0.8363269912978903,0.8343478476673517,0.760948160573098,0.7651922962369756,0.9240132524356282,0.8388221499674301,0.8268305867012852,1.0394708209066514,1.204491738106019,1.0161877048812296,0.9585420011554902,0.9813009574615499,0.8739366588747135,0.8338153245214411,0.7193460287816431,0.6646684936105312,0.6808512284739026,0.6743128663024323,0.6895455364519265,0.7697568502000588,1.1600587799853979,0.9295119421650908,0.7101462019825052,0.6861006930133553,0.6497174504090579,0.6991922382284913,0.73215606836447,0.7445300420280326,0.808909201982464,0.8355884599628107,0.7814811352755487,0.8000226906933567,0.8727849502583878,1.005928596678181,1.5149206312394847,1.7019482826008665,1.230632846396112,1.1367261791162615,0.7497125739678902,0.7024475709499901,0.8600971564873869,0.821084173319542,0.7719501171583922,0.7718057351745382,0.8334632369636454,0.8668384935269661,0.8884181124375462,0.8211297852847134,0.8268769028141202,0.9855969278588915,1.0997056005468706,1.1889121971774415,1.052266116911967,1.043834641342457,1.33317001101724,2.1176386300678818,1.323745613595217,2.2141752051712236,2.1443084043653764,1.9391505400199736,1.6743617898659673,1.414586949999869,1.489192921871802,1.1688240843615127,0.9962934225169578,0.9150337291512827,0.746910464661,0.8006468704065584,0.7735521235884215,0.7574408741152422,0.8766956734762955,0.9142863266389881,1.1259645012861843,1.2733977353294486,1.2049038956293254,1.279768223422642,1.6326944685471982,1.6400677991275507,1.6339435209874913,1.8115181546815033,1.9268487251300508,1.914104910151269,1.7311847529334683,1.6689327845587785,1.474743134776306,1.2875014906823994,1.3131461652543786,1.132092386392294,1.3676010737421131,1.2365336140635903,1.5057403557861961,1.1864120884840312,1.059984224174984,0.9418315753443038,1.2074700777569098,1.1885931972847759,1.0569221535583684,1.1201000259896479,1.5020277962550255,1.3920665302787785,1.2074397071043832,1.3600752265761498,1.7082618177409776,1.5167975066933874,1.4821407015281651,1.0473751881144315,0.9075994618233981,0.9630203780872911,0.8784104825823968,1.0501372607911919,0.8920449017014052,1.1870549463054416,1.0754821820192926,0.8088469042195486,0.813784305509595,0.9001765382984267,0.9851829867161357,1.12438642562184,1.27067618742545,1.321459188065164,1.2824162330154623,1.406885021708092,1.725175073359197,1.5477530529137713,1.4050165040248357,1.2737033031037275,1.1078788442055367,1.0320307560740076,1.0151915718498405,1.0388296555159098,1.0754531338078335,0.9705887779246158,1.063629873009212,1.101131192787289,1.011331988325286,1.167134614548133,1.2747973153947485,1.1109536500881387,1.243180336818831,1.4053565823886378,1.5278646633584412,1.4161527686493964,1.3196429305337254,1.8663111442038562,1.9165602882494057,1.624309312585845,1.7211818390418916,1.4777221087517294,1.797520052556424,1.996245453418173,1.6165850180196202,1.4364077490530023,0.9849099473137423,0.9430060474560055,1.0518315441672688,0.7037975650001652,0.7410415041393372,1.760540947719453,0.8819788547516808,0.8729515455159323,1.187611981924236,1.076194591340965,1.7724238064323035,1.0078863582030797,1.026731800086515,0.6796189797373375,1.043329866217985,0.9200116328641531,1.1764427143355967,2.2139677308611176,2.5636299364625623],[0.700007971239036,0.732984977890257,0.6414356125831965,0.5479366242321743,0.7591779902293846,0.6106986308899798,0.5489076874143038,0.5444205237165675,0.5422260397106347,0.4646089504028415,0.47857462209583546,0.4904482395168041,0.5072878293741547,0.46471453662994383,0.5468835056013553,0.5570442896179746,0.5412543652030286,0.6226748810746687,0.7536618026137611,0.6830244811815758,0.8024607528484822,0.8608500237345423,1.129557785632476,1.1661408725107685,1.1101499124967737,0.8318135580396986,0.7693396769435932,0.676480430680899,0.658484246115392,0.5618826990550595,0.5976885151030344,0.5675766259149334,0.550573963112283,0.6138802159295008,0.6119259825984393,0.63538091293807,0.6388419551639635,0.7959980031850826,0.7691056506128846,0.9816595150281462,0.9440216496939611,0.8104910585727217,0.8705481077083049,1.0071126578082805,1.1843007455243038,1.529905388997893,1.8191534307761879,1.2058802625927982,1.535636121426539,2.364867592457339,1.3308847179095828,1.7187277348255972,1.0968852988672573,1.0898224987125953,1.3084236645747311,1.0129826460582019,0.9768710674345861,0.9129159776690757,0.9163987404496222,1.4442046127365828,1.0285178852980186,0.8864809890494724,0.8501292367101941,0.9434481063472684,0.9068163448210407,0.8821497597642286,0.8253291130302589,0.6630886772966663,0.7792152970621843,0.7046391719485788,0.9946526697589245,1.2943030371177215,0.8460240918577052,1.020433024224883,0.7408004501175938,0.9127026247703366,0.7124046687986441,0.6718859618606189,0.6948394773405164,0.7868463551519338,0.7909786331147678,0.8379619423349574,0.8361826136291313,1.0205042230898353,0.8790597444759672,0.6884150929672196,0.7634434027648912,0.7046197628503985,0.675236948946714,0.693061401029327,0.6198932602514149,0.7209947812370235,0.6958434318761986,0.6056269133437819,0.6005126008204973,0.6549434800108545,0.7605258795895699,0.557825412050484,0.5093433727265613,0.6068711442113522,0.5511295754122469,0.5888815556266471,0.596727956654077,0.6380448437611046,0.9839726185822335,0.7105049058688574,0.7594629045139243,0.8337069801702265,0.7538023970171129,0.7459187946258304,0.7234666170291801,0.5781016423625565,0.49991390445288514,0.4906291631951588,0.4834837838641724,0.5112237143776613,0.5954962639749596,0.6593881591520564,0.8366731806399296,0.6084608165497819,0.6156986720582054,0.5443629980966215,0.5559520573624646,0.4626283335071085,0.4426269484287618,0.47889772753908844,0.7442577305656183,0.6141205205149827,0.6956259821101104,0.6883647784977139,0.7831766896708363,0.8660199149401188,1.054867339009094,0.9204478853679982,0.8812228579190108,0.7587729395662667,0.7833055868106948,0.8182441905938048,0.632210122971077,0.6640461435373635,0.7913659529264109,1.0542011415735286,0.7937840514408595,0.7351046006068173,0.7936376313093452,0.6676796718610112,0.6127562124246432,0.5280375797558369,0.5095165876236911,0.5154616638131334,0.5695419170373341,0.5460014445891328,0.664569339212929,1.0422858835125086,0.7945181388065683,0.5563342705277005,0.5177947144493477,0.5264090670937888,0.5605175985373739,0.6560221424899906,0.6208052132664684,0.6497122772471593,0.6809312214530591,0.6866256010226561,0.7845861342320104,0.8530863669473584,0.9947126921880275,1.454399644476502,1.5955372895818254,1.0903171104983482,1.0760139575280607,0.7051311176506939,0.6820522809559518,0.791521783106566,0.7290022332891152,0.6853296417994472,0.6486187732668891,0.7161251868620968,0.8024723938140228,0.8149383118136995,0.7742167644508202,0.7904344380790771,1.0081272915213118,1.1464373126292728,1.1990790881909292,1.0321330834308793,1.0264910526741071,1.4353729144412843,2.2336575753647323,1.3685128602167236,2.4207006192390033,2.332216417202913,2.115833648533909,1.8112291062878911,1.581421252816704,1.6816203295850973,1.2312492939668398,1.082294273887596,0.9673469531256079,0.8036023449780276,0.8476854651783404,0.8011199086461394,0.7744470874662887,0.8716202771785934,0.9043978645088597,1.0978554625840284,1.2585776761338154,1.1902866172253614,1.251450107805136,1.6169430585295885,1.6419525599845546,1.6358404858762432,1.81373264092691,1.9413131288256475,1.9724181495438806,1.7701747441541615,1.676759912583213,1.508368084084194,1.2925800491567323,1.3105961843372032,1.1478081224171313,1.4889416719695225,1.2909728644657725,1.453324832695901,1.214385972032849,1.1224627006992138,0.9922221157209986,1.3579242121997868,1.318446145133882,1.1116865794108453,1.2248244930051286,1.6542785866313425,1.4648079466455695,1.2875518230729284,1.484040857834213,1.812640044116484,1.582930101398782,1.5382111144709847,1.0990263617488756,1.0103461787143657,1.078209448777754,0.9230421885821456,1.1142790583849322,0.9468250741880596,1.2319554143351867,1.1171144952224965,0.8298109242947419,0.8322912170498065,0.9131982663452286,0.9695787551334673,1.0931594574526544,1.2333259683625313,1.288184278993879,1.2531854283519428,1.3788888529903782,1.716442030643023,1.5299603322375124,1.383059569991708,1.2525372261690824,1.0886393991797125,1.0127704762269019,1.0160104407883606,1.0284062334763622,1.0626259079741653,0.9852759642731649,1.0711311584625296,1.090298972919272,1.011715746537168,1.2173965024636197,1.3229267393400175,1.10331419680174,1.2492178870046766,1.4810078596420069,1.5546976330566566,1.394156291253571,1.2884660175457414,1.901188848623443,1.8988219238430142,1.6669724005237199,1.768705249081238,1.4881552372273648,1.8001326947469896,2.0318169826013293,1.6401782572530264,1.442858802926679,0.9700924511489509,0.9361023450400274,1.0725688222753706,0.7411631194782101,0.7394872757077431,1.72744927933559,0.8713872735494865,0.8661323693502768,1.1345144359727442,1.0401845434330286,1.7424068867637748,0.9730662280192939,0.9898294183623914,0.6493410212728202,1.035727754699792,0.907346905755842,1.1905519534601277,2.20056927607057,2.5989783780687565],[0.6328356675495744,0.6982285281653242,0.6430264883093565,0.5662467003772091,0.8468424131940374,0.6307529030611809,0.6037887895164179,0.6034771334497874,0.5894679722901676,0.5488725837395498,0.568369681032503,0.566524765639638,0.5958251800626763,0.5427752257028488,0.6000574709112116,0.5885152544859694,0.6007971503282012,0.6256890107419153,0.695989743401854,0.6764765784682593,0.8008314667106587,0.8467374584355299,1.0648587882686875,1.1123323511411687,1.0566506438047827,0.8077488058869964,0.7291119985520426,0.623887283667348,0.6275157971041506,0.5844150859887204,0.6138373820797641,0.5951072278298826,0.5899162824945194,0.60659408121296,0.6052475255307038,0.6167129963305658,0.6271171571460731,0.7425364075046327,0.6893971889974764,0.8860013560330553,0.8894980334733102,0.7490151081023667,0.8086156774411855,1.0077551123401485,1.1631880220228588,1.5692050241206599,1.8894955053104745,1.2507776696943471,1.6254627653169005,2.369913836772945,1.3600549131803559,1.91372633611833,1.0740902307617322,1.0052570051381744,1.1515770319226202,1.030712529753705,0.9790504819278069,0.8281616113237933,0.874960640984567,1.5511495630405205,0.984704671560414,0.8801268040167158,0.8171875585362391,0.9713562617956633,0.9082718955196556,0.825065564521698,0.864418542037822,0.6715913891835086,0.7800646772190925,0.7628028316585831,1.000995485973189,1.3307413958801988,0.9106356285127765,1.0584339022021174,0.7739213789026808,1.0533334359656135,0.7180900802308728,0.6826595871877384,0.6930749436036092,0.7567385775464854,0.7328270648373479,0.7748141311519159,0.7958705546519144,1.0557159617279772,0.9592625756978478,0.6577190564704417,0.6893471286637028,0.6820709472758691,0.66323209747913,0.6905937133718092,0.6200943203526107,0.8010056415216456,0.7432764519261719,0.6508340334820027,0.6335376066372387,0.7437716209142783,0.8156492109388107,0.5952503505466629,0.5632788768741569,0.6098599697456991,0.6036766193795554,0.6519858531338083,0.6405330095228563,0.7045296659159941,1.1553410799046677,0.7374573559317547,0.8282935407792762,0.9295273006473082,0.8164094924040833,0.7960993488862836,0.7783802598019859,0.6142422567261907,0.573251723726311,0.5890767354431606,0.5880287776328769,0.5697256583522117,0.5840447263783358,0.604837082437388,0.795188571564534,0.619363639636614,0.6813576256431035,0.6694643533283041,0.6441105050530509,0.5824522105593842,0.5423254536624165,0.5564705470339258,0.7535714202010227,0.7079157199507452,0.7693738535644612,0.7911879137660977,0.8459976456428203,0.9224130515245872,1.084412749148293,0.9493821467697587,0.9296718449055501,0.894615419816486,0.860393170078182,0.8327259402298077,0.6698194175751339,0.7055292653554699,0.6800544111295367,0.9767140639906673,0.6891435824636973,0.6564995376931301,0.7079808683556591,0.6050294044126503,0.5705568485125164,0.5759670033532325,0.5818325279876265,0.5778530130658767,0.6320599498289722,0.610408078186216,0.6582881995989252,1.046061649942442,0.8144727887264236,0.5716675790620555,0.556094025008584,0.5902914800575111,0.5932785603472426,0.6778319754899714,0.6350164753545301,0.6182794173340088,0.6542183502036022,0.723497019199173,0.8684578092285857,0.9017074080491029,1.0134388668983898,1.3638158844008255,1.5562353979773902,1.2374291531575332,1.2570583671359477,0.8049552051554206,0.7792096438544144,0.766817698120879,0.7031468478222065,0.674406596800357,0.6682327813338649,0.6897303227375795,0.7828975435219977,0.7612816376612104,0.8189674713428006,0.7878312351432157,0.9796666889488878,1.0907624426738385,1.0912176308051655,0.9962910190108633,0.9856624695323811,1.441876578359738,2.714187960568425,1.5236958492387713,2.7305604739739073,2.7477743752907053,2.2972157717041592,1.901305899608577,1.617595190849651,1.6747459481490916,1.2164745141360718,1.078005226280448,0.9868416778994294,0.8269317587787162,0.880551682346944,0.8721899178964255,0.8550569356809153,0.9273154863250713,0.9570052691829707,1.1728921020227159,1.26330347651239,1.1953822930627869,1.2974886250613904,1.632177804883678,1.60859001483689,1.6198628176198462,1.8323704101645844,1.8982585731844885,1.905617676127475,1.67576199197051,1.6352657884927597,1.4178982805847355,1.242831723182588,1.273054052017502,1.1241023553801643,1.4230592579120507,1.2719004012387585,1.4795200940841764,1.218325678204543,1.1171195392709077,1.010984542708976,1.3063427927516056,1.2778620738219202,1.108897099903474,1.1962288180703073,1.6037909158714425,1.4219331895565268,1.2521820453893315,1.436846607488555,1.7402538001878607,1.5475351950127845,1.4702543377635573,1.1008145006538954,1.018118480655943,1.0741880336732876,0.9772339918994815,1.1602043702107483,0.9952746834156438,1.2682134231777946,1.128746951132184,0.8588713043067174,0.8544515387526938,0.948832825816299,1.0431944128946788,1.1811261605251546,1.345794332855164,1.3733335978050516,1.3167602350802403,1.4604549517894139,1.784605157605059,1.5714867305444633,1.426393578938731,1.278204346650789,1.1232419642926152,1.0642341948716851,1.0378792446543599,1.0346952443485868,1.07679712960158,1.0000473142820114,1.0681151399451783,1.0870859651936036,1.0224117759130817,1.2010702422984765,1.307272361178953,1.0957522226261152,1.2415706129091715,1.4620629382488561,1.5412225571469098,1.3774138393072384,1.2400883932471414,1.8317901090857918,1.7810673935839756,1.5538921640611192,1.6235774156812437,1.4010134368375915,1.7078675415415119,1.8530729309812197,1.4892660959794353,1.3340064360880775,0.9440342704530245,0.9482415284116763,1.0986684662849358,0.8014330555368454,0.8465325048105953,1.8351973898001077,0.8631825345924233,0.8678234959547133,1.2366245622199767,1.0962852935520293,1.7849578803654573,0.9761471402032778,1.0102784384488006,0.6752937273948614,0.9842591663014014,0.9583745764253806,1.414328363346759,2.3335251261279493,2.641288432183086],[0.747945351048666,0.8478292809023263,0.7603925858326648,0.6804997570260851,0.9840524095638806,0.7157191969246972,0.6652868901123314,0.6523672379896743,0.5993900407178037,0.5216320786686154,0.5285987492906186,0.5390003227299311,0.5544386869542011,0.4971761721867583,0.5766420216040143,0.562384461647945,0.5411669320761154,0.6068611208135789,0.7476616006404999,0.6433631386272962,0.7666621744041482,0.798455541664374,1.0790560585295181,1.1115491972085174,1.0534810797758372,0.7904309299703175,0.7032283726051431,0.6156252351768777,0.6068635201603537,0.5363730903951993,0.5932880637070829,0.5602277721221015,0.5493801379428918,0.5816809237212545,0.5718682650583348,0.5851002533728967,0.5946177901342462,0.7212338011727112,0.6641737361038984,0.8431304611422596,0.8437627388436076,0.722078108484188,0.7612229227167134,0.9195120130782432,1.1037691124113693,1.4675293109968846,1.7151700414344393,1.130971036200602,1.5853770435892198,2.348563147037685,1.2364656959436562,1.7835765036292577,0.9763930831602141,0.9630696864556816,1.1527085371731112,0.9158542768380511,0.888907176057662,0.8007213043658994,0.8101556937348365,1.409951914475039,0.9499390707206136,0.8239566003115576,0.8002671823050798,0.9169560007638335,0.8613999180607079,0.8160153693545062,0.8080301873654476,0.6476775963106595,0.7866732741426717,0.7330745615750733,1.0159927148433339,1.3246677054780924,0.8737512569193144,1.0314361233622946,0.7401207850732243,0.9132106583501678,0.6855326628134766,0.6452525970514909,0.647061241496087,0.710458216116232,0.704387880400643,0.7288854461091917,0.7617119220473043,0.9976299368035833,0.8877911889588778,0.6064945701449026,0.6666100599706828,0.6493859440272134,0.6184375679052468,0.6561578771884097,0.5989703202317965,0.7373464736435836,0.7111127681644369,0.6184634953064931,0.6097053784758194,0.6918538558106725,0.8017812729827903,0.5629055704687238,0.5406056028372829,0.6146731913461974,0.5849121046546687,0.6627872500097471,0.6293381998761176,0.7226259848512346,1.1867436901502182,0.7822626967362127,0.9044537931611735,1.0176766278485023,0.9300643001676899,0.8853698077790473,0.8836792930031432,0.6741302652582685,0.6169854034029845,0.5965022355719105,0.5341823802881736,0.5141163324460913,0.5562157785377028,0.6194093468191318,0.8453144153277614,0.6084020620682822,0.6412058785369662,0.5859203371005491,0.5774700602267083,0.5230096409864117,0.5218365278144084,0.585677515973858,0.8437197867422891,0.7985320747262385,0.8790431911151363,0.8737497228439502,0.955613994522454,1.0091665909682868,1.1062020628687095,0.966353190935073,0.9638119075450124,0.93195854009696,0.9308930260132037,0.8535993830299142,0.6563178373188704,0.6440231605215154,0.68666197945829,0.9968298702454728,0.7184087706864057,0.6363876649800817,0.6862653639409904,0.5816149550918723,0.5349592638438923,0.5341922805986005,0.5723973371212074,0.5895542575643211,0.6786212619380075,0.6403506736933139,0.7047782761849782,1.0129142547864765,0.7985024820638829,0.592703266989928,0.5634080408751084,0.6100334593170628,0.5817156682443562,0.6953509313906073,0.618882036319322,0.5818434263040217,0.5948222576032316,0.6431301764788054,0.7745107192295033,0.8146659110867099,0.9880837200156902,1.3763568245852418,1.629653211453201,1.3338190644079901,1.3350524978249665,0.792200954748403,0.7436603103308879,0.7346284696775958,0.6701376863828127,0.6599944839927998,0.6371049290895794,0.6724077994823638,0.744991675617429,0.7358331416218162,0.7763311801374435,0.7846994422699602,0.9471140817396129,1.0277450636333063,1.0286827221126416,0.9165942267992193,0.899603524087415,1.35721084009763,2.551290619326285,1.347779899995762,2.5903232937806515,2.685712352296748,2.232536924709662,1.8579911322368357,1.558225733010498,1.5854165794970685,1.2367412053431812,1.1245079656398012,1.0970139877913025,0.9591562149544622,1.038423141808853,1.0500404072700609,1.0410964980613682,1.1452606821162257,1.159797989846213,1.3474904063874809,1.4545404270354414,1.3783685595882194,1.4436301003668035,1.726018616251533,1.7074337930754344,1.7035471394764807,1.8636385599217395,1.9426809520375317,1.9071005168286603,1.7411470992983944,1.719155168702492,1.5489549365285333,1.4043540864321524,1.4186964002397795,1.2441398901498395,1.425841893195387,1.317300202466951,1.6594494526478156,1.3544860432284203,1.2269518509544703,1.1541543845333644,1.3089927539569393,1.273051078350339,1.2152525502024905,1.227174438500475,1.516067738541254,1.387038717554944,1.2612206665386045,1.4086665666561125,1.623249744031041,1.4991430195322115,1.4369787292739435,1.1867931936834368,1.0981960743009833,1.1453807520509822,1.1346771510348008,1.2792767015155175,1.1396629958048552,1.3638980866646837,1.22527545945523,1.0142909103712252,0.9967485854540264,1.0811636199448145,1.2134708694292116,1.3129389615552576,1.445082404514462,1.4827058065440386,1.4420540635507317,1.5367012255311912,1.8134837572939524,1.6503731908175072,1.524253600760699,1.4165941690564838,1.2898982693162704,1.2378627411667829,1.2164032704955459,1.203317822651842,1.2537496654082303,1.1656953607180052,1.2190027670803543,1.2571025456479794,1.1855492725524248,1.263076254518494,1.3236448485577015,1.2224814542995919,1.3106842724946142,1.4288202610343461,1.5703322913153668,1.502336666345583,1.4558062634820277,1.9823584922521857,1.9840753224562329,1.688232725642932,1.7511531380444763,1.5681187070259877,1.8266979712801796,1.968019568254677,1.6835581276002496,1.5566899261083473,1.1971239380500849,1.170848093649975,1.3357185103419293,0.9948271502223086,1.016919713185902,1.9888237627638656,0.9922997682730789,1.0122929517637858,1.3025709755306443,1.3346846424153043,1.9590021414953767,1.1735457743674154,1.1038645802943752,0.8326556082998731,1.080697016942922,1.0648595218180847,1.4711925261448457,2.3715300709547167,2.6694869709146536],[0.7791127173431684,0.8580093789148463,0.7522100666362092,0.6458804437765476,0.9166066238825714,0.6932295927366545,0.6401729861130246,0.6350284103890337,0.6001312879291437,0.5409630364000926,0.5594826655561915,0.5767906892873005,0.6023474622594422,0.5679285076224972,0.6706975233763999,0.6666187494837094,0.6403078452170841,0.7497282914339813,0.9231646345931731,0.8196640363180865,0.9399741404267071,0.9853614689317545,1.2562681619317053,1.3123411495087811,1.2054874942785823,0.9697325030630717,0.8786330579868732,0.7882578774266363,0.7588943338196041,0.6587267814454074,0.7278212708016462,0.6634398123877352,0.660901556423739,0.7270716494163177,0.7168522820266651,0.7427605512659351,0.7301517619574253,0.8666088063420513,0.8369774078213232,1.027220923654525,1.0139425575913572,0.9061076968301728,0.9488125288539103,1.0626938682641853,1.26764738677853,1.578382452333346,1.8509172716022926,1.2469613269917694,1.525177086152004,2.3482306160284794,1.349107076806232,1.732777293497191,1.1182705540027906,1.1198614278030734,1.3308271177900373,1.060516496157379,1.0418405437318008,0.9835889089851869,0.9838637206884339,1.4854283341713723,1.1261972614867681,0.9930113021779261,0.9786059219957809,1.0676130553702465,1.024697608834414,1.0075402152595547,0.9510450155416681,0.8137730534163605,0.9141189274036459,0.8347555524342493,1.105234298592065,1.391859457184009,0.9626156865960721,1.1487239385077817,0.8688245506490724,0.9685880411567569,0.8614004963312129,0.8184139447896164,0.8244141944835591,0.8970912268687554,0.8658066724188451,0.8838455936279191,0.8519723764874854,1.0554304196793152,0.9088650727142462,0.7433789372683018,0.8398890061111371,0.7904013473221976,0.788008248925415,0.8104639910055852,0.7567489171839962,0.8366901272743943,0.8240458608102754,0.7383923726101961,0.7211855296679145,0.7654112445954208,0.8705246372588731,0.6464204175525854,0.6046543654842578,0.6659216353532854,0.6466098709230351,0.6793192081819994,0.6855595998411327,0.730284273129323,1.1663026447023295,0.7960525196982299,0.9092175432049132,1.001546535189614,0.9228371490485129,0.8690085041599135,0.8749211140595177,0.6742242429297266,0.5981830238765778,0.5941001544313536,0.5641820764679213,0.5906156789798287,0.6871628189120506,0.7733257728120349,0.9892490059036567,0.7502119681525777,0.7350373161625565,0.6402988708871876,0.627488260541089,0.5441900812636017,0.5167485694423793,0.563711483512876,0.8585862176359729,0.7636178347516914,0.8668592061754787,0.843414164638049,0.9408241809772485,1.018475748215301,1.1292463364529683,1.0084510245608023,0.9674176606349312,0.8788123336051286,0.904688497766742,0.8512183954944783,0.6515091011904894,0.7107834477250203,0.8660442287875556,1.1543539823799631,0.8989045459619359,0.8017464043420749,0.8629265131388721,0.7377707614092395,0.6651863549031926,0.5995459721575405,0.5933161654096449,0.5942697928563032,0.6681495678725878,0.6195106321520657,0.7259334918610322,0.9907999216276913,0.7910254319651698,0.6287142349742935,0.6041005944782907,0.6223697775161168,0.6328324751733014,0.7381519307522507,0.6742282303073137,0.7049767825281416,0.7268530681075764,0.7351325474375509,0.8472899122026564,0.8937829452792692,0.9910204093835983,1.3862367792119656,1.558753005995867,1.1306104760866738,1.1495728865364625,0.7739039784962076,0.7572274073558926,0.827130755181648,0.7760851766653011,0.7450228543585042,0.7138536156837557,0.7736666920550174,0.8639846450865772,0.8498145282537433,0.8199335014250151,0.8366017213685937,1.0273925014994383,1.132978936128583,1.1611514832035432,1.0353045049992218,1.0558244981428995,1.4467230260079593,2.2961627127819817,1.3774405219982764,2.5512481636127555,2.5563695048476665,2.2466266845434344,1.8933179817924664,1.6302494454282004,1.6834466222399467,1.2587425265712782,1.1631450305984259,1.1219791951630664,0.9749471390340053,1.0548933197019952,1.043533831813782,1.0282690531323697,1.153624567636626,1.153632042133707,1.3153938599849668,1.4906685149791694,1.4045452111450438,1.4163632453622519,1.7142117908830208,1.7397224173240802,1.7151612958103486,1.8365719114488206,1.961628812890026,1.9569769294981683,1.8289242280276283,1.7585494665352837,1.6698511334847919,1.4823884133549108,1.4777408307459718,1.2933281181146086,1.5306389981837145,1.3645703884829001,1.639519030124365,1.3852154731183755,1.2562584766123837,1.1620344847457065,1.3872643933582605,1.3554558822245173,1.248420513266236,1.2842409888978226,1.6117165273473926,1.43629161750416,1.311540303617288,1.4687656812182137,1.6762061732830011,1.539293006496654,1.4577668215572823,1.2252370156346746,1.1356962989841273,1.1916029633610852,1.1372773052381489,1.2986446136913639,1.166336916559988,1.3851440589231048,1.2330115359001035,1.015239794903861,1.0110907004288838,1.08163632978896,1.1780309169676726,1.2519544531000704,1.3681046539789945,1.421828508227747,1.397376913138324,1.464832777369476,1.7445579466887184,1.6100709831798588,1.4796426048203648,1.3978488104891467,1.2728874432724961,1.2188787717632796,1.2376686867451532,1.2206130450077706,1.2696328540628603,1.1910999063221401,1.2654171861751535,1.3068504527347031,1.2243709062966126,1.3253064540250696,1.378625472716842,1.282417379937128,1.3526498220252172,1.4971297949083902,1.6471840117268384,1.5950722316361847,1.5948108153961948,2.182082535074862,2.1821790885235437,1.858425823961357,1.912917484820704,1.6783245468141488,1.9092056697144908,2.117034395954179,1.8585077955028273,1.744102106603514,1.346963319366528,1.2504434490398086,1.4057143864883743,0.9992770757822574,0.9625437933818559,1.936741725183673,1.0346295285097493,1.039248234924775,1.2646347134481972,1.366047644257874,1.9621270617334938,1.2126326333035515,1.0981491329559208,0.809774582007536,1.1113019216153028,1.0291288549804711,1.3225816817995013,2.2776693219898014,2.630711932096091],[0.7421311845168564,0.8266196252479702,0.733859973591038,0.6327239830451076,0.9435446355248225,0.7137365371865587,0.6806606469765327,0.6814561807060123,0.6331025231914224,0.5771321327304101,0.5859700256734405,0.5968313816118685,0.6341156724706273,0.5722604973011255,0.6546458145542579,0.6436765168268441,0.6343916188869918,0.7014853999353262,0.8227343641100453,0.7610690286582172,0.8895967263519831,0.951663488726176,1.194753736902917,1.2599562518027922,1.1200184327045688,0.8921315112471414,0.7926480640317529,0.7090292503315008,0.7036614993618082,0.6526351355531435,0.6936131963130541,0.6640862178335533,0.657817235411744,0.7005775893448107,0.6941569166995942,0.7076868051907947,0.7098248306033619,0.8041430003253223,0.7700728257852069,0.9880671374556292,0.9492217054781976,0.8268460490070139,0.8738549030063111,1.0372311882094936,1.2443100567247827,1.6027409215380102,1.9554360900775207,1.2933571909861512,1.5135187683467808,2.3586944373129843,1.4062546497687127,1.8845776230629816,1.135552781731768,1.0717146264346715,1.2559999369009627,1.087168667554399,1.0366171940193871,0.917979572027657,0.955537996440515,1.5398776171686837,1.078085479009992,0.9624679161259978,0.919807833207291,1.0620608423635873,0.9879721729652418,0.9512764143760798,0.9245470683992056,0.7565668539042727,0.8472318346764011,0.7905143085497924,1.0598986446998433,1.4018390990353051,0.9417859739692307,1.1349523416788365,0.8281257548287767,1.0087055684776467,0.816833698181027,0.7890204392360738,0.8062050867296314,0.8794975034857818,0.8282660795244846,0.8603105169101006,0.835563344161982,1.123076538886822,0.9743312205236757,0.7345988976298877,0.7881551577155573,0.7677223250818481,0.7563176299064307,0.7846908820953973,0.7177933315012016,0.8491165290766332,0.8095778224254483,0.7163143530595054,0.6952160712698532,0.7633740924467596,0.8765956647339121,0.6456544621706507,0.6245428122939071,0.6755039848438609,0.6854024317899348,0.7403329604630632,0.739510498151753,0.8049534801949054,1.3059132711361356,0.868290077360794,1.00643856271719,1.0967089486423323,0.9985323407790392,0.947460271353031,0.9291955222543185,0.7464009215736421,0.6642817169293919,0.6705420810454925,0.6119846109195427,0.6041287640758262,0.6313810070003568,0.6694843448161301,0.8901593640935952,0.6876373951907904,0.7136136220219709,0.6673620425135676,0.6304099828655922,0.594027880999528,0.5702981111992678,0.6241220112501662,0.8858924140039285,0.8463079786749698,0.9447199733451987,0.9514090191471797,1.0304141275589296,1.1249414688425747,1.2352663736875895,1.117539456428085,1.076717356619987,0.9890934437218322,0.9655984101844386,0.8879385506782683,0.7124396391955521,0.745088389776576,0.7370034297830964,1.0186668125037945,0.7607975107210624,0.7088044842643192,0.7844556139925204,0.6797690981212504,0.6328330277817984,0.6301792993134274,0.6588813106623732,0.6469674387673773,0.7254181075088244,0.6684373740829583,0.7551766761875959,0.9998273581288958,0.815677927544262,0.6583403662522552,0.6411905873575164,0.68242151086978,0.6773560416385267,0.796619428365398,0.7324287747377672,0.7070980273747187,0.7266265983390163,0.7880580159683629,0.9515523747516282,0.9690597253961122,1.0788507085668406,1.3811501541550864,1.5359783038633197,1.2097804007898414,1.2272402918933685,0.8725730205855879,0.8642190038659857,0.8724347601537242,0.8172226396352315,0.7984896874708732,0.7472781788755349,0.803999714081451,0.9101343800208594,0.8968717942655622,0.8982903750126443,0.9091054455377922,1.1031838335705668,1.1993331571093646,1.18969527509864,1.085762578457624,1.0791491080502142,1.5457032921452878,2.5780937379396454,1.605472208564075,2.7973301931928187,2.8035577156215794,2.392417300467768,1.987819570942474,1.7416186096730943,1.7962293723246727,1.3175637926460433,1.238584539161373,1.1671719320485927,1.0310087330072712,1.0930398547353983,1.0847491925814394,1.065363317222974,1.1587404712261753,1.1572138698083836,1.3195801940388638,1.46958887879761,1.3807923451458084,1.4063043263710295,1.7033692380709629,1.7168643484777963,1.695247276007893,1.8330455894414763,1.945948058459212,1.9483351732292162,1.8055302252323886,1.7300138977537385,1.6324459212219788,1.446882159492575,1.4434707658232686,1.2673162784560366,1.5338467496039683,1.370494781894324,1.6114478061045296,1.3929035556786773,1.2864105983307481,1.2013231128335613,1.4553566054516005,1.4088843323386304,1.272866237879564,1.3410130567332825,1.690929885755309,1.470998047259505,1.3562831283434176,1.5327844270525879,1.7222645718575051,1.5669708898423935,1.4809294614451267,1.2618487980822668,1.208390498879408,1.2645399327129034,1.1891069036154884,1.3621517590050016,1.2364347422772315,1.4438422825466917,1.2781759067629979,1.056041517410889,1.0566680350053783,1.1225938953205072,1.2001696153369579,1.269959393950096,1.388145572015478,1.4286907803815236,1.3953906456388003,1.4676227421179056,1.751946265115578,1.59909125257382,1.4646143595178907,1.3778410254528448,1.261633227329624,1.2219839466187645,1.2474260305432094,1.2031058061152518,1.2524002938425927,1.1953681917432908,1.2529335230398646,1.2817065878994627,1.2130236056732662,1.3350267862179859,1.373954162150066,1.254307464206175,1.3482166478916788,1.5281230068493628,1.6351209396513062,1.55898195976974,1.5380474181204107,2.1521292306471964,2.1128040018560035,1.817651417092034,1.8713317091769617,1.6357317054116074,1.874547838020431,2.076182142871966,1.804411098132853,1.6873717289265013,1.3059687605253336,1.2248964268371763,1.4064442456236677,1.037924104748331,1.0080395671332631,1.9545898280350285,1.0657023496139517,1.0646016598994759,1.3118122159060734,1.3900211275900163,1.962899482807503,1.21255001716134,1.1224616054910481,0.8069433548542981,1.0966735885730594,1.036998244520252,1.3761993387599114,2.310218430159896,2.660058342638487],[0.8175325729851649,0.9323957375624041,0.8596156443203818,0.7887593801205907,1.1343280774612767,0.8616945742541773,0.8430568847793528,0.8478250240529918,0.7646595309158869,0.7116969513181796,0.7045490979564619,0.718675839165861,0.7578024088872863,0.6630636498721327,0.70025097985746,0.6992932257819542,0.7035315024674028,0.7078039033677495,0.7786867287185333,0.721339711233401,0.8294816069501664,0.8613379942185749,1.106878444068013,1.1513315270347315,1.0560841767990956,0.8281780102480959,0.7427391393787022,0.6797907442905589,0.6988037361786203,0.7065962376897852,0.714057567613686,0.7176627773144006,0.7072952158656809,0.7087824418674442,0.7059206372080211,0.7036969761889948,0.72554132496795,0.7765296687241051,0.7295348694098658,0.8995555059485305,0.8935998348515221,0.7528701330163206,0.7977844379496655,0.9887033234353105,1.132008590682345,1.5208749516860638,1.8157664806723122,1.2031003387628247,1.6199920171278523,2.384319791391414,1.3423082606065548,1.9684949131104577,1.092691964638279,0.9987017408765466,1.144924431207026,1.0397723879054839,0.971848512444509,0.839206810037942,0.8872032477077719,1.5323274200478247,0.9792238691384916,0.8777136320595321,0.83979735936003,0.9966788250760761,0.9111623106540171,0.8658612248125842,0.883504243733292,0.7268240726706456,0.822912520987272,0.7961904796343943,1.0650262915879805,1.4082259974923208,0.9472939746152637,1.1080217497110587,0.8198308255612191,1.0130161465016436,0.7705743536780281,0.751543560597504,0.7702575096625232,0.8115403474133513,0.7918270000446382,0.8253251129025932,0.8591660802783102,1.1858294604702382,1.0762973532853406,0.7579225455172935,0.7407463799923883,0.7647920858434242,0.7281895096749074,0.7655462615454328,0.7049701946323823,0.8561825133681187,0.8245136148316151,0.745790299376743,0.7340702204811317,0.8186359090145743,0.9231141041297409,0.7111752917621852,0.7258162338023328,0.7763086277729125,0.7898497340801071,0.8874103998894912,0.84682021589378,0.9583497151129023,1.4698338499663093,1.0267311218584578,1.1799962612343584,1.277895616775333,1.1665932677520605,1.1163105252316068,1.091489724650447,0.9202245897970046,0.8564225019842377,0.8570961965654516,0.7602809649038246,0.7296598073167061,0.675559300556097,0.6614156984466154,0.8569522993372439,0.6908027646018514,0.7606154364336448,0.7593131291527302,0.7258803311366797,0.7456452024413669,0.7426487876227109,0.8190769240871607,0.997251729286554,1.0446139393891158,1.1273727855975377,1.161899631928464,1.2217386175486653,1.2915164094054288,1.3754905547586431,1.2391910632530607,1.253400442941188,1.204032141739291,1.0895456621610236,1.0137445380845873,0.8893823502488899,0.9306818899256971,0.7408265432434372,0.9420214937160167,0.6912118993828641,0.7046459022546245,0.7473741120940754,0.6841555927652504,0.6964014305061902,0.7506184220041359,0.8236049605885585,0.8084152280748417,0.8955527614454238,0.8340298350107599,0.8901218086671675,1.0584164370287115,0.9147162249160714,0.7866442357746131,0.7774559633637063,0.8456260148777299,0.802796294681178,0.9228924628581177,0.868186003295244,0.7632521395883464,0.7946447011102792,0.8566875094424964,1.0154362107972623,1.0271321668551041,1.1537875678010374,1.4054545982647828,1.6478808379498875,1.5019982320718408,1.4826141093819254,1.033689480551538,0.9876539881571315,0.9395586692191072,0.8858901509592738,0.8825152929072172,0.8327020329017192,0.8739388786640586,0.9579012521627662,0.9524533155106276,1.013265965561454,1.0205534436950299,1.1615579224036807,1.205673456613739,1.1642724341040631,1.099935691574373,1.0284783534943018,1.5182380969502243,2.9307027522951,1.7230674494622582,2.9429072352528185,3.095638630164713,2.493927543666329,2.059545350259985,1.7810948765244767,1.7722587868590662,1.4147651114674347,1.3312941059998185,1.2874616693555416,1.1733193921198697,1.2333994164563873,1.251413882703356,1.2415175070226434,1.3220405642153192,1.323647899343857,1.4870573581158582,1.576258932933595,1.49415720174038,1.5484603015180367,1.793906339971644,1.767119395310078,1.7594041480767177,1.905012743701098,1.9731021959769774,1.9291631753413887,1.7876183618885915,1.7708606939670044,1.628972595405423,1.4982806880537125,1.5070658784529005,1.340264411228708,1.5053608673249204,1.391338004610293,1.7654425037460062,1.4986340520366406,1.3865676390344719,1.3431494729811242,1.4597968061430915,1.416814365541234,1.3756290460452905,1.3945133961982077,1.6387410755017215,1.4857681978297301,1.403767508660716,1.5485547540889435,1.6886340816709091,1.5780268823584829,1.5188163354247473,1.3535599382428545,1.3122913937528058,1.3500753884593408,1.3474124608986386,1.4759480240673988,1.3560910292944415,1.5409983877029378,1.3812886359166718,1.195255070811243,1.1721821814763258,1.2508393180317672,1.373640181668323,1.438054281635931,1.553031069658752,1.5815967068436476,1.5438286124415308,1.6130271361805766,1.8635552510843625,1.7144000381878213,1.5961710710883497,1.5082589411389178,1.411803979342123,1.382281310217545,1.3838579115459104,1.3344777785274868,1.3821375252681476,1.3263401214004356,1.3582675246104914,1.3825650857739646,1.3312230956509512,1.3892715061114616,1.398809186412214,1.3286266921644798,1.4195475294891124,1.5232129951846796,1.6615770686937557,1.6165725178218882,1.5814614018634348,2.1222676046897986,2.0833764290747583,1.768396119226743,1.8202366729766808,1.6557944597009797,1.88300132442584,2.013253393864956,1.7749511869770065,1.671221881543888,1.3499123335071086,1.3262732835283455,1.5173019956564395,1.2129335242481984,1.2202164410074827,2.116395672779117,1.1498412017667565,1.1657869776551335,1.4521269070296237,1.5692406346338807,2.09549962810198,1.3486659679413227,1.2377619114417606,0.9857160079964367,1.1643944836008495,1.2027869200511419,1.6313441540920273,2.5130025881411937,2.831878748395192],[0.9573533179630361,1.0466312306126182,0.9569105975514387,0.8582928667826136,1.1690353180996114,0.9283659656977822,0.9039167255660271,0.8966081101564861,0.8618845415901069,0.8317507932354894,0.8521518826157497,0.8405203398067334,0.8532453694997326,0.857177647969794,0.9207587527788278,0.8849043381281758,0.876949666971313,0.9609828860466099,1.1355841351362401,1.0048935614645829,1.1290871848090895,1.1356036331088715,1.4178761778976208,1.502420480375317,1.3396082299921501,1.162943700167612,1.0140235776405266,0.9466823996608666,0.911288369856608,0.8389895957790735,0.928000531391308,0.8520448845151839,0.8620017116802695,0.8927964539819954,0.8741152426534675,0.906538680642095,0.8480239821483089,0.9302501740242621,0.8838651616544304,1.0111134846130108,1.0209032133097131,0.9899998084402084,0.9858587327929679,1.0677521093752238,1.3206285001380325,1.622495345476976,1.8575393372353766,1.2646785105469314,1.5597832501298827,2.3875107761944045,1.3259563468797146,1.8187165909827991,1.1003279642751584,1.086906714958122,1.2826396515017058,1.051538583761758,1.0529698067840814,0.9995054837868039,0.9936926385870187,1.488420427245804,1.1805101856667333,1.0879192849108696,1.1188096892968922,1.210642722300681,1.131701702045064,1.1545825059848847,1.1544106123505904,1.027032503615298,1.1472461374547156,1.0835831250365326,1.328719032951117,1.6159142249941554,1.1862746421275887,1.340662754149837,1.0690680148672187,1.11867981276203,1.0235977775931713,0.9829343870941852,0.9673420953580283,0.9882835881076129,0.9269042732321336,0.9158111829221205,0.8762736809904164,1.1363353405978305,0.975596451393041,0.7926010341239674,0.9078427864431919,0.8780012610726137,0.926886892854481,0.960453287796435,0.9358453171852859,1.022751713661142,1.0116119827811711,0.9446419681502828,0.9355173746716566,0.9678744965578884,1.0835699765742415,0.8744021774495737,0.851646033631352,0.877479416517629,0.85761149792041,0.8963610956780862,0.8526995635936643,0.921511234259858,1.4076070791220359,1.0047856412270613,1.1880378935849503,1.300176652698375,1.2083009899282104,1.1275971957956465,1.1178904509890872,0.9166452286644347,0.8623005933091195,0.8576321539854155,0.8156770747085242,0.8123326788471618,0.8834607206514093,0.995963090285152,1.2252394098191992,0.9976179223875373,0.9914077472611568,0.8857947970819118,0.8563042651859905,0.8061838757945532,0.801993868414934,0.8276949701892492,1.066341862286893,1.0460114673439314,1.1526767075593232,1.1434689516718457,1.2838702244673807,1.3541901563802818,1.3935280084292052,1.219882241670716,1.229874375450584,1.14039986135615,1.121052345619847,0.998358404237196,0.8488046794941345,0.8297272446848308,1.0025783149220988,1.2538176375097916,1.0378561162048479,0.9053059254494566,0.9252907931713806,0.8499436029903455,0.8009451285893913,0.7942393644472685,0.8156634332648374,0.8387943507324296,0.9041516108008768,0.8723298256900167,0.9314576350120809,1.0925495795990805,0.9802188277769258,0.8571659849577734,0.8397777156104057,0.8577423481463958,0.8348658620731184,0.9220220024356549,0.827691381903966,0.8101763708141823,0.798138833232579,0.8014039554073386,0.9268460505988821,0.9342600916861451,1.123134209196294,1.4878411117277974,1.7467683480399936,1.453891775433153,1.414869467053088,0.9365916291822844,0.8900121596132229,0.8906388944927696,0.8533118768786356,0.859028709194588,0.8424595630384007,0.8655664924289604,0.9307408137023874,0.9189697377769673,0.9257096620191709,0.9704220613144773,1.1228349380061402,1.175766237513305,1.1377442003233367,1.0406008582678707,1.029912568614504,1.4732938633892616,2.4897052718125035,1.4604086650664359,2.725413625034592,2.881018179462067,2.430513255184718,2.035725725604563,1.7948082742126343,1.8246608874721928,1.504009811228494,1.4543680011847822,1.4246646900272943,1.2859318387992247,1.3654375467786974,1.3482177001528854,1.3383692174857784,1.4628037204981466,1.4462214493453749,1.5607838853075875,1.6960176355304484,1.618234613557764,1.6194615780764163,1.8337484214718633,1.8416451707461823,1.821001866570493,1.9080127357148293,2.004216082467523,1.9589360029263867,1.873691707710452,1.8513387068811236,1.7883084232888162,1.655333167356206,1.6558127792507649,1.5113006255417927,1.6480144701123376,1.5377537927155516,1.8994532793796535,1.6569812460601105,1.5337979570067695,1.470317053515928,1.5729454256739612,1.5530585915232258,1.5270950864083628,1.522399338014163,1.7491876059276874,1.6295128365248053,1.5463638845328986,1.6486657050781983,1.7857784701334225,1.7116375169256464,1.6249694715358665,1.5059467506816455,1.4270260129194312,1.4640191692265192,1.4592411596732913,1.5317031421964327,1.4377642576609235,1.5615356857671563,1.420110532026508,1.2940380893520662,1.2519349019172603,1.3224383622457905,1.4476661043901526,1.4794073979491293,1.5739622225852714,1.6151207561605208,1.5967140588895774,1.6281131447275912,1.8561818323050168,1.7459529738526884,1.6415290282885073,1.5941782029063727,1.5152484962703126,1.4848357187648193,1.5284635895988166,1.482890867372599,1.5180335078549383,1.4765499864990599,1.5317766117602447,1.558922085517476,1.5065578578132892,1.5580610632410787,1.559278170515687,1.5194199565564155,1.5887620407916645,1.6448890946901702,1.8238973218527708,1.823043949080613,1.8223564954494285,2.3624091672917795,2.319231781481283,1.958658665686594,1.9695010344653212,1.8098321649515545,1.9867292308029267,2.128705671171708,1.959117240583202,1.889588394177298,1.6076469473448398,1.5318282202804787,1.6860677963107635,1.3415150922001153,1.27616730775808,2.136292377852354,1.2610856165953457,1.2593613623455397,1.4899897458524718,1.721156737987313,2.1738669828063752,1.4908034603961757,1.3229482201615492,1.0766133533184072,1.2600040490654114,1.2419463888147555,1.565618018938662,2.4918579259226745,2.8675599498790563],[0.9127515201811867,0.9958887896047621,0.9199528503145831,0.7912086852933137,1.0859409682152532,0.8514047658351039,0.8225973394204598,0.8412378449136189,0.7620611003844243,0.7238306609876941,0.7426342326237624,0.7746152697805606,0.8057308907518829,0.7551616742007695,0.8649808475688971,0.8690870559080079,0.8427001536777348,0.9637388750135968,1.1403242883430502,1.0560677005027745,1.190607685185632,1.2536334063379668,1.5291728101253574,1.6177483608258574,1.4175447629518207,1.2135688790193473,1.0886219167571145,0.9843000446813688,0.9561608705592081,0.876576612071411,0.9401406306366786,0.880359006393549,0.889212124169151,0.9475787838890611,0.9375930905674872,0.9695881863037592,0.9362004672738897,1.050929515908473,1.029378060601071,1.2278718588081021,1.2160095812275666,1.1262492065695164,1.1603177242641476,1.253712711754018,1.469038464263516,1.7461583384324029,2.0616973305094572,1.4317269908204426,1.524831798799957,2.3686327876326203,1.5308000439800398,1.8298611460660743,1.281987133300559,1.2834028801946735,1.5019956922343216,1.2616618467559073,1.2457307128575699,1.1886527365245558,1.1963064513239172,1.6344765290374252,1.3471020701611542,1.2335795824479383,1.2145070171743129,1.3225808530884737,1.2639276567188529,1.2639955547719892,1.2037361697184648,1.0530923705112032,1.1294537555135669,1.0240728729154074,1.2785292907665244,1.5712254659514884,1.155578118908171,1.3823649178341735,1.0764653101977497,1.1378818926495664,1.0966736360266152,1.0689076272733224,1.0752753411469267,1.1514070489819817,1.0905297668863665,1.0892850506569036,1.0091805620809582,1.2493192910419948,1.069220014295336,0.9444666120080929,1.0468810462363745,1.0142557755618518,1.0219818371943563,1.0473891029773696,0.9876932103487697,1.0496259769379817,1.0305035728501564,0.9473853620822466,0.9186512062619333,0.9401986908179373,1.0547291341875125,0.8621632077260231,0.8362759532923364,0.8558037556211542,0.8808957518503762,0.9238862467024131,0.9310551880610485,0.9633719087500929,1.4378337073246448,1.054118287550348,1.23609978842612,1.3219941000127193,1.2453074629723642,1.1635357105270736,1.1141142749334263,0.9302486963657172,0.8303983756469411,0.8261833535181317,0.7591104347716255,0.7613802548390627,0.853059429934401,0.9253690116075131,1.180944843576496,0.9542663520419051,0.9085201081376858,0.8071030199624658,0.7520762812852076,0.6972466741291936,0.6879180506627838,0.756661641900037,1.0403170555327341,1.015741562075523,1.153065139870098,1.1584006780788583,1.2843492154162426,1.387462784819893,1.4267229950901201,1.3032212534277485,1.252509169235979,1.137656930348026,1.1546813897792527,1.005169925152604,0.809004771070703,0.8767604335125525,0.9769787966127745,1.2744618774025673,1.0551700494507614,0.9461824674553231,1.0327270224303506,0.9297031611565196,0.8515088955575908,0.8217508964502567,0.8380621773945159,0.8259521359536967,0.8919252044911722,0.8427916725138117,0.9530144561486291,1.1007391266070086,0.9426003411599313,0.8570742263004264,0.8461913860682686,0.8706385524448846,0.8717204912727374,0.9785403745940687,0.9115322358242738,0.9270785458801711,0.9311653267448325,0.9525234891275771,1.0962899720734212,1.0852249800469078,1.169706122325079,1.4116091737188075,1.5670844310692449,1.2406551995640474,1.2541335241186944,1.0156385410486315,1.0133492289966661,1.0368683477536402,1.0006676858028198,0.9932864134989708,0.9483692177541275,1.0149799819198415,1.1037804603017467,1.088636081566508,1.0367967806486458,1.07168675377005,1.2619592025416597,1.3434491518012717,1.3285791216113882,1.2355532532720688,1.2637099784070371,1.6178716107852156,2.3026093777381114,1.5954590549959575,2.758482088766242,2.765451998344374,2.442642793664158,2.0666944788488655,1.8868527445821812,1.9599649774370969,1.5456006080542406,1.5111514936691466,1.4778381995772816,1.3262710796853883,1.4199153624761558,1.3832704199662573,1.3599513705282427,1.510049903098326,1.4842993438745073,1.5669183198806,1.7583309958216549,1.688319166079369,1.6429318780891489,1.8694413251762583,1.9261185707299011,1.8952509717466188,1.9400175025722892,2.075795242246815,2.0949748597966753,2.027822383716674,1.9661041865720905,1.9826366379653209,1.7901803504252523,1.768230956420516,1.615318273678854,1.8175752034018635,1.6435416453475549,1.9078206475436041,1.7177448425830715,1.607072269717831,1.5349023884134907,1.7194296347502886,1.6926537196844034,1.6131196700982635,1.61129412777101,1.883671164678018,1.714682004690496,1.6331583552942468,1.7620485078378219,1.8901747165352016,1.7985180230854119,1.6787348686646684,1.579233434492513,1.4971571672197077,1.5381843623335698,1.5014294347502788,1.6109588670819506,1.5270424080586804,1.6475856358625753,1.4843429037760898,1.33627216981492,1.324536979695145,1.3716736580864501,1.4616435465813176,1.4807355660174408,1.5513648155082473,1.603618141721087,1.6143373254332058,1.6245926179857193,1.8583495204836662,1.7690165286940003,1.6643335038924598,1.635137006101886,1.561719171315708,1.5307306398833052,1.5987542047065866,1.5604686737075142,1.5874624093464003,1.5537233580215861,1.627378573954514,1.6623297791559237,1.592748044344182,1.6787129942359416,1.6922565483727978,1.6493608707112961,1.6923750558496065,1.8207225254014447,1.9909366142175449,1.9888782134896839,2.000449980809345,2.600345047749671,2.5315493765808355,2.2088386912037423,2.177201000488909,1.9606333440250518,2.0980869275123126,2.310093338330915,2.143315297238461,2.1055126473483097,1.805417764226823,1.6522453122306011,1.7602267599223398,1.363276998488196,1.240031619703849,2.0993247919851945,1.3041798230392327,1.299553975991826,1.4483112767251145,1.6785289932847327,2.160078790309873,1.482775137049515,1.2671867351249284,1.0034187413636015,1.2218212969129505,1.1612052399682555,1.458063888274218,2.4039653449278,2.8076578831872467],[0.9529298484724817,1.0215653706117926,0.9245223872350311,0.8167020049727213,1.0190760946624247,0.8300561704105822,0.7603973934866595,0.7833266881479424,0.7130787123269611,0.6475801181040921,0.6573974737536677,0.700814875858884,0.7237743227066442,0.6721547698536124,0.7860225057815347,0.804864978492449,0.7771693158932675,0.9183411367272174,1.1159885630745705,1.0342067716903975,1.1675410627638327,1.242006835666373,1.5215646015903215,1.6041212804250269,1.4384671054715825,1.2056179370691775,1.104107604146563,0.9820336922446667,0.9314945658772938,0.8346858839868265,0.8787496268025704,0.8342482531872343,0.8402083642084633,0.9054592129275915,0.9002907731451801,0.9403789691468887,0.8977153647773503,1.0496952926462293,1.0602011035034389,1.2709903072359443,1.2686662919713132,1.1598907805056715,1.2237265954823193,1.310387878652404,1.5013906161024066,1.7757638866548684,2.0510784970569778,1.469602904991946,1.5909616387059384,2.4263133120666627,1.57461477451682,1.779830228789565,1.35430648231209,1.3475939487011008,1.5618067364947157,1.297446125280847,1.2824293020291233,1.232920076434581,1.2427828577121425,1.638084902824908,1.3835020305334913,1.240766600305501,1.215543580627482,1.2887825163830744,1.2541375183007366,1.2575864726582233,1.1675053766740888,1.0175504262014017,1.0740921349341959,0.9709975787350056,1.2139185727613582,1.4690051708877803,1.0830493697205028,1.2976426553126055,1.0401571609383822,1.0956764420050193,1.0675138046924175,1.0323244331005363,1.0541134802247163,1.1376508797301652,1.0935019735352527,1.1189116358738933,1.0543180869604973,1.2842422711759616,1.1006047577815439,0.9591633092527588,1.0635724930030275,1.0009582860788857,1.0071713904929145,1.01401799379935,0.9452963662031763,0.991333303966074,0.977858748777585,0.8859945890750435,0.8523398128109437,0.8602422322124593,0.9357851262181629,0.7821143473109761,0.7495050291679458,0.8005282045859338,0.825605826879436,0.8637554251717813,0.8955687951783722,0.9014633005685834,1.324324508496622,0.9833168442238795,1.0899015055331225,1.1747601895862108,1.1349462504836687,1.0537890106627974,1.016424433328125,0.8629460205997577,0.7548461299273042,0.7266289654235603,0.6937440007585016,0.7169167297234522,0.8368896172055991,0.9198016935361882,1.1458480316575115,0.9153320986490127,0.8596458815563948,0.7445792689501473,0.7130402969309059,0.6353098416080005,0.6159606321661537,0.66580892091519,1.0006914834934233,0.9167895918962771,1.037907312781687,1.0350529495637264,1.143840665166149,1.2285440600470112,1.2831331971502078,1.2007129276959654,1.1336763388894586,1.0452571237595092,1.06587821588231,0.9213802224936373,0.7344799650160494,0.8830319199286794,1.0373031057652888,1.3447734510621903,1.1044628887625274,0.9931172049516521,1.0728576869929392,0.9388661903844778,0.848276436397508,0.7691878961006534,0.7803573224346964,0.7620341456233471,0.8099822562848612,0.7724448006411164,0.9232093832334912,1.1016111399990627,0.8779480735635704,0.7927661981856288,0.785992473329955,0.8067939745043112,0.8311525494187728,0.9226193249498221,0.8694234114798713,0.9190733107500887,0.9515424467566835,0.9690516466737434,1.0712755893103822,1.087996632731854,1.1902557226552448,1.5262570324833933,1.6236205658480998,1.100961153895404,1.153323511789311,0.9476229175765747,0.9640200345300903,1.0211828121841982,0.9923293603886111,0.952648592941809,0.9126763541578921,0.9832806615460611,1.079212611797299,1.0654291968917107,1.0231619954503386,1.0146108617714293,1.2041570073616867,1.3005701409276604,1.3387367888242396,1.2481010100397463,1.2976427029258717,1.643451026512896,2.0860749199918938,1.5353724634417398,2.5277866518446466,2.479596672447275,2.304298714202511,1.9700899666370801,1.7699639540014165,1.8561844438833595,1.4117677435158755,1.3789773307743671,1.3765758692067516,1.2227421682690434,1.3346828531608208,1.3006338498552354,1.2863612246208855,1.463175836315147,1.438934450701985,1.5384341541731124,1.7701301336425115,1.697204756075899,1.640041296602122,1.900380630289025,1.9767491859696928,1.9398720523682558,1.9864232889988693,2.1369752057282323,2.1708944755117594,2.100758866292566,2.0176382534091784,2.0340620953708375,1.8236421205689353,1.7976952976744913,1.612521355800126,1.8405529956112914,1.6352491822489303,1.862972736661324,1.6629721732504201,1.5367451895602229,1.450083770094954,1.6597168369799176,1.6248358112721946,1.5318185459927787,1.5316437486387326,1.813142957917898,1.6446732679939686,1.5438460460138386,1.6600688720952774,1.834239924067435,1.7269605168345195,1.596762038257075,1.4905044284268265,1.3764429316668685,1.4403344169716104,1.4092303906355252,1.5121877999913982,1.4322309249542502,1.5706343071375122,1.4221677682319758,1.303140725835325,1.2693797659658952,1.316114697743372,1.4135362859818164,1.4455995671724458,1.5238051748703447,1.595720395629524,1.6041678118385432,1.626502781934095,1.8709581256165806,1.7909349816870201,1.6743406962490746,1.63556709147681,1.537187525547496,1.484235176735994,1.5418432580731196,1.5336059894373109,1.569736306647863,1.5006886589423731,1.5924034281498427,1.6496316913470115,1.554309951976466,1.6290002563766668,1.6786585552320137,1.6412142345287006,1.6428836222294179,1.778061402511673,1.9617631819477432,1.9689774162682325,2.018797000095864,2.610722569874845,2.5818631612716625,2.2664885571665985,2.2638648588045154,2.0267824796480984,2.170766076522357,2.4143376488407857,2.2383602306153296,2.1797753236944235,1.850961477136846,1.6424530611718238,1.7493943302484436,1.2795965030828336,1.1619636397709203,2.0619947601672726,1.2605721904319078,1.2686600985714938,1.3573632355902614,1.598851346204299,2.1512480789705855,1.466352072580862,1.2055299157191641,0.979108479250818,1.2042394262037062,1.1152644451618074,1.3721259000143158,2.3090944165536738,2.7377211011925784],[0.8696018680274331,0.9043135981698006,0.7835842097721405,0.7770601342223667,0.9863877809885969,0.8370034337644989,0.8319623813547475,0.8442540372215152,0.821322967683713,0.804176332401163,0.8275989777196093,0.8389258889800166,0.8679643193293897,0.8432206645698453,0.9112752345528278,0.9250118623008194,0.8959974491798935,1.006159367605555,1.126368214806506,1.0926398435340878,1.2015077440085047,1.2867956093403115,1.5635467993558365,1.6375543915851047,1.4523188321794682,1.2156201744535629,1.1180139408408472,1.0282263287041447,1.0067297541481117,0.9407070823730321,0.9886654042640916,0.9475777216631349,0.955242592677803,1.0017274550270931,0.9952047546398899,1.0215839394979038,0.9959125574553817,1.1060095755345858,1.096474017831175,1.32121489357971,1.2880096204197706,1.1754955650136667,1.2378992779396085,1.3559902337667729,1.5564073669685314,1.836307164063293,2.2176259492939816,1.6070399567881715,1.6179198975285463,2.4573288851811736,1.7313123951710931,2.0112872939050037,1.4778865553613239,1.4022707669449448,1.6009172250511567,1.4091072584421298,1.371443510166737,1.2743570794598282,1.3208902135777978,1.7910740565949372,1.4109951222173194,1.2948231321148143,1.258787509236942,1.3739183578989522,1.321958157311844,1.2667709257619242,1.2443573743495349,1.0776102820797206,1.1085101371835098,1.0452143809996541,1.2630389541286708,1.5739139514364338,1.1708608121517992,1.3614239416961487,1.114496049197749,1.156806690088948,1.1283452626768014,1.1078461704192948,1.1311820569861633,1.1995077939570291,1.166926044842374,1.1813403180710635,1.1332388315776625,1.383542521463416,1.1980563657773058,1.0336783706219905,1.1215805303580917,1.0869825393633992,1.08106275149813,1.0970666480826743,1.0253709919799223,1.070924738560696,1.0299559603951998,0.9940738300794811,0.9642936220109952,0.987242281791702,1.0954307663505567,0.9321414033670014,0.9048269883701326,0.8993838616514819,0.9280082314766521,0.9169768603241784,0.9624741393106211,0.9300074589403763,1.3167590297007805,0.9869869533756329,1.1147769515008832,1.1554298232370732,1.069319809810498,1.027251103571872,0.9824995321842508,0.8899483063006074,0.8199644701587369,0.8376243131119318,0.8409130741872027,0.8603088443677762,0.922041012670949,0.9767329061986385,1.1853547113045082,1.013480082302967,0.9834398001755322,0.9235155840498249,0.886584733532706,0.8343646540605754,0.7926293490781224,0.7796136466766034,0.9877823485817363,0.9246454779641632,1.0118377528197255,1.0284767172363989,1.085666384304587,1.192739445981452,1.2869404503084307,1.2215401971337143,1.1435979042027664,1.073439576553292,1.0641262866568602,0.999146956230131,0.8643376535714489,0.9606644008814824,1.0199568020216114,1.2604725882865793,1.0800738922478335,1.009052770907525,1.090695035983429,0.998456086937719,0.9324140448252896,0.8806782712872067,0.86098618249811,0.8310805302384505,0.8648434052113861,0.8412056749759943,0.9585432168733228,1.1441671213079416,0.9853940770723069,0.8851779728589015,0.8821168457717214,0.862800642708871,0.9005312555100594,0.9619297327358735,0.9350257824824729,0.9862926714575408,1.00924964707306,1.0496598217666848,1.1732981399871478,1.1682214509414377,1.22196043257294,1.4514743082576758,1.4452267524408549,1.113520952928319,1.1317728265957814,1.0334402922362413,1.0657211536047688,1.086030417874353,1.0580704827253655,1.0175644811943445,0.9877642613293595,1.0396730907118068,1.1652108742321732,1.1460208520617607,1.096237685387657,1.052831813327015,1.2634789294744946,1.3812032110805434,1.3730203379187569,1.3257499553431507,1.3845421669741116,1.7492387498771766,2.360210135873897,1.7383721405553199,2.7415603762722154,2.639914557978313,2.3872644925784683,1.991164395393013,1.8123411095568744,1.8802648233900603,1.4060373881255956,1.339758559899018,1.2376640663422767,1.1092073749310418,1.1838840657868264,1.1430999420060537,1.1243405799117772,1.2465381828628983,1.2321252594712824,1.3563425338092678,1.5799128242569493,1.490896608446936,1.4536537268087841,1.7653149711983067,1.833550897603369,1.795340784743476,1.8802557801393256,2.0534742000618635,2.097810725940231,1.9798610155497904,1.8714652110666328,1.8776445109079933,1.6260186623772763,1.600610976926776,1.4293821847642723,1.7658529832357934,1.5380979989254977,1.6509522359420612,1.5125728562155052,1.4463273861563937,1.3524569150929766,1.6892780731380823,1.6263412274334195,1.412700226311601,1.5028488053874427,1.8906854160800322,1.6029153690853295,1.4883509925922678,1.6739421995726735,1.8520522579433065,1.7033639992197114,1.5859927064793735,1.35322242836332,1.3340026194924839,1.4031351780222927,1.2896666950421602,1.434321180805972,1.3543403250200006,1.516518149028778,1.3344735706099566,1.2040357692688053,1.185729678582473,1.2063855861923143,1.2408768882203187,1.284969718267317,1.3756066925764319,1.4367370061157425,1.428133946897053,1.4684243018706913,1.7625336895651664,1.6299242839823869,1.4955170237897784,1.440026398723091,1.3347522489865284,1.3013566987393312,1.3678864494682264,1.3347317015426283,1.36075169407518,1.3150691493135962,1.4096817516030777,1.439705947497644,1.351056917424856,1.5029884331482433,1.5376508399918711,1.4413466404101092,1.4882961170572342,1.744330620552197,1.8456347271492461,1.7923271325917793,1.8083158359905822,2.4942113516759448,2.4103718662946445,2.1387252196687467,2.1257877683478767,1.8462860708546347,2.035274690184819,2.2888898517900347,2.056666007226029,1.9745474892151245,1.6089663077585616,1.4255702987848364,1.5315101988687636,1.1094706233115585,1.0536693802104822,1.936373056286015,1.155797031157218,1.154825352434015,1.2982363129983205,1.4657675099913796,2.030983384361238,1.345972489599643,1.1523003362579092,0.8933555428054472,1.139554661796655,1.0378463536691414,1.3186135873024003,2.3493838821862347,2.7328576817936594],[0.8413936400776604,0.8544432894317716,0.7712626787503858,0.6561133424247471,0.7670587899602711,0.6881717060882978,0.6281350500578553,0.6577729265811753,0.6327004838170301,0.5955673982934238,0.6144176210199415,0.6721229672598474,0.7045864802092682,0.6471090218364095,0.776965685432818,0.8230944188847318,0.7887068158506771,0.9454815983866138,1.14181488655788,1.0887649313665164,1.2008019670829044,1.3192552160776743,1.5612107267924504,1.63700208480513,1.4854956326685214,1.232250147601853,1.1786103356479811,1.0376444489810637,1.0018139445965948,0.9003430240477847,0.9179509514058438,0.8804732931225693,0.8824155169451062,0.9781404521950999,0.9857679894016782,1.0263379668833679,1.0100661321980657,1.1878338131204242,1.219041129102063,1.4960974407416439,1.4275591867081932,1.284890318560822,1.3982936571934395,1.4704986928071437,1.6296753488467575,1.9087105227971308,2.219098152801525,1.632092534459383,1.6727682784880435,2.511109567098453,1.7936535098856359,1.8500502024740464,1.5867992945367637,1.5592203315392967,1.8043688360315793,1.534118222537598,1.4814336206877379,1.4235904056650537,1.4512237144459952,1.7479156443309,1.5143359171568547,1.3558477065114578,1.3148712349630403,1.3376029313907727,1.3471866572687676,1.3493495431152076,1.1864333577951125,1.0447252453287925,1.0734109711462385,0.9532123030427073,1.1798648055334207,1.4246970737360236,1.0563445083739953,1.3018440628435992,1.049017831936805,1.1059488093314824,1.1443430564755628,1.1145486280758252,1.1625203080438575,1.280904927551488,1.2737424541449007,1.341591261236644,1.2211029211757254,1.4582598544207648,1.2550921172812461,1.139087515487849,1.2214112411219176,1.1446527830054807,1.1139393009589365,1.1080459343494264,1.013989501262786,1.024847143129482,0.9994786345688841,0.9063552424684864,0.8631555017977686,0.8459120649669852,0.9149963043726846,0.8009807226210116,0.7412613776831448,0.7966224201253972,0.8280968890943726,0.8391011659426835,0.9397093294341566,0.9138479419151928,1.2257313350608958,0.9966568600685229,1.0474191591739166,1.073276810769686,0.994090526666995,0.9414242532232251,0.8744542060898546,0.8158610336791478,0.6749256172138385,0.67185209875476,0.672432484500389,0.7230684027565424,0.8770797269825459,0.9354940259265038,1.1285632745130088,0.9171475795581466,0.8358268838022747,0.7114342530260572,0.6917320605813516,0.5785436744060468,0.5377233436140871,0.608568633614621,0.8516246340386516,0.7605097545805993,0.8679109806806581,0.9706826294847914,1.0163109004780817,1.1692552026976137,1.4089159069881831,1.3771219939149242,1.247665233623334,1.0179361114400425,0.9862369789219694,0.9231734223574609,0.7577283466412672,0.9936578305865662,1.0699934368200235,1.3601550611997197,1.1510310735613716,1.0714925241740827,1.1820321911271647,1.0343667906467786,0.9305558206609259,0.8122653639641856,0.7889312641679516,0.71770499697019,0.7397116750682358,0.6756399406430986,0.8823081934975772,1.1100124877379687,0.8183807028946424,0.7432442789724306,0.7491532687175699,0.7687213816631577,0.8476220206309285,0.935466135405002,0.9493017947947997,1.038438696561863,1.093393114716595,1.1162988962464182,1.2102243379150779,1.2216528977556014,1.3273750118309804,1.6677417029024966,1.5539598991632164,1.0494184418440788,1.050918819250024,1.047245072379645,1.0829547027620445,1.191116544942443,1.1557081164369802,1.0848656369221872,1.0082511646043388,1.1536448504839338,1.2689874095883227,1.2686810645283246,1.2092859344112399,1.153733104801285,1.4186870258446627,1.5753874171992293,1.6469534035826776,1.5205963408125625,1.5419784962455134,1.845889517418279,1.951779447596651,1.7499081554207894,2.4993285367212925,2.331154716831556,2.358182360891365,2.0856105067690525,1.9724817289205587,2.0730673206097867,1.4334700986841984,1.3457269523591542,1.181122008310849,1.0483741060540461,1.117485449334081,1.0521153973633646,0.9779948530697883,1.1228347556595204,1.1349547908964401,1.2120953775452863,1.506364366339575,1.432038289830235,1.3591415234696766,1.6807813736650625,1.8092236733094305,1.762980732289437,1.8133724911627522,2.018153698614502,2.1217072558260273,2.046615191494063,1.89186168819545,1.9682822880219932,1.6540947510264516,1.6186079456612041,1.4396568550824078,1.8997895986273887,1.5541560649782118,1.6359898958817252,1.5243270120949821,1.483413534862153,1.352396534659632,1.772543179916217,1.6840392473373544,1.377704001591386,1.5500008982029243,1.9768086113048955,1.6398498996256663,1.5103015391484809,1.7400194389502834,1.939793291158838,1.7211212631501764,1.650159291615937,1.3082455784047842,1.3420506821228608,1.4491112805296524,1.2293044955001957,1.422654710625093,1.3245159896908756,1.471109746883945,1.3171627418428815,1.1309838973945532,1.1066665314809743,1.1272151747941475,1.1393294836195074,1.17786309929008,1.2384186204616536,1.3116539161186394,1.3292540920526683,1.36495587265959,1.6564781794025494,1.5573518039997964,1.4396372116954494,1.3921551769985534,1.2844553302021904,1.231908981350011,1.3348980294271418,1.3080534819679983,1.3131788316297643,1.2741697008458328,1.3922175083038388,1.4253685414207982,1.3005218065963178,1.4954043360007543,1.5737379495563864,1.4361535834477135,1.4335891565695162,1.717186138867561,1.8316995195563839,1.77841750626797,1.8733366082429352,2.6347391025349527,2.6159982226957954,2.307273302299903,2.278463120852085,1.908531342708127,2.0579832721070166,2.398396449120208,2.1775878453413355,2.1277480776762276,1.7106171962008663,1.35473193475054,1.4025459074085898,0.9810170320499083,0.8459827266819688,1.6782966738668166,1.039508502089951,1.0506801103796337,1.0593938419842903,1.2410959340326877,1.88393266707832,1.258900936406442,0.9606733458238895,0.7792567598743567,1.1930605027398096,1.0362043475007985,1.1823029046247693,2.2320894158840052,2.7509910314261288],[0.7520204449770547,0.7700627771562676,0.7036240007512401,0.5880723003790783,0.7734252837658534,0.6671530757417784,0.6178786971775792,0.6354079658363244,0.6054980750273448,0.5608685572031393,0.5754306132407061,0.5972710349519589,0.6464327093079638,0.5976473673234368,0.7085849109582836,0.7298768882232386,0.7044404982300251,0.822187196550615,0.9775123986329628,0.929091776544839,1.0408938332152418,1.1379190291107948,1.3874990660953448,1.453191383543218,1.322772974146263,1.0705478930707903,1.003556435377141,0.9036935657407444,0.872801563570821,0.782103699177295,0.8019869808542326,0.7724633653300187,0.7692936419754142,0.8373344836278365,0.8448378667514268,0.8779900688255574,0.8943192635424232,1.0526501484133977,1.0509321060825163,1.326972332082185,1.2484631879426042,1.0814173676827135,1.171908118344593,1.2665572752105687,1.4383832849508098,1.7403728215827388,2.067385246047037,1.4479861415359816,1.5507753819724948,2.3901943665823357,1.6170211604104645,1.7731332589583753,1.4005805821941901,1.3840786244723213,1.618770951691432,1.3249373467131211,1.2658137705374821,1.2217668808001194,1.2334240077804777,1.612758150284046,1.321143777572578,1.1592433463757637,1.1242434209439407,1.1682550462976382,1.1672626323841442,1.1635053874303498,1.0355912427104559,0.8898601137229853,0.9274401512065771,0.8308161744515956,1.0817101491721866,1.3670135712350897,0.9471776929939928,1.1714817310562398,0.9011881897501429,1.0000235926643666,0.9788344104023738,0.950149274647951,0.9873816506710285,1.1007834742795557,1.0927179818456731,1.1463348132647888,1.0664741691775481,1.2493400094418539,1.0807203910064407,0.9817170154101993,1.0455475201303102,0.9818242008958031,0.9437869330305064,0.9433472363411983,0.8603397432468615,0.8929017114823048,0.8773297300805755,0.8026031445273654,0.7809010513765847,0.7940599231603228,0.8781287490858252,0.7267883400401997,0.6833392591098889,0.7469595326642617,0.7404595235074403,0.7718374410699818,0.8352138484857661,0.8477770435114688,1.120001364819387,0.9061361614557016,0.9721443573584365,1.0284840386909218,0.9402039572738417,0.8933840193978877,0.854296436146631,0.7556886872473656,0.6375504669959844,0.6372773471311824,0.6121968671039226,0.6514989369222169,0.7640630936170649,0.8181518284821443,1.0032332988963653,0.7861946492193121,0.7302323370507762,0.6385285915767698,0.6367173816511994,0.5357295337107187,0.5365331306607797,0.5962676631742838,0.8410020920082374,0.7334781068835738,0.8454816396465638,0.9001649621262362,0.9886834231385476,1.116298305126584,1.3401238676943081,1.2661255848112185,1.1700391969853543,0.9320827074817291,0.9375800124861975,0.937459611906528,0.7351795885411135,0.8872806137598575,0.962685096673199,1.244288685282499,1.0150552926486158,0.9525316246097294,1.0570554099615774,0.9108194699361138,0.8266729448600553,0.7252346329446249,0.7048724703273638,0.664762630326975,0.707327400176802,0.6513184741065552,0.8284398107399488,1.1066816950268936,0.8521645229696437,0.7017801980166669,0.6905694845973956,0.7052298785478157,0.7574619639685325,0.8677872812346277,0.8580360197952401,0.9193427907158461,0.9628357803023508,0.9630675836105976,1.0550959901171317,1.1157595139702856,1.1548857701367987,1.4938108051344248,1.4710338428102452,0.9858118683813042,0.9966911692333511,0.9424209694220721,0.9510795510890436,1.0843877322971873,1.031525892538492,0.9674544142853279,0.9022069119953298,1.0193876036793437,1.138848087690598,1.136766036604143,1.0565173938503323,1.0536643743547112,1.3133133878255525,1.4837145642239398,1.545696725993357,1.3802800742879584,1.3898068874047682,1.6572338572913978,1.9976044750747188,1.604788883367238,2.5188995281220916,2.372790631177355,2.3277394521825308,2.0497741702263625,1.90056169918884,2.007656019919999,1.4271482155658382,1.3027187901260946,1.1274709897988857,0.9897957929045813,1.0192567632357838,0.9587642183390434,0.8997426055685,0.9933139211345975,1.0136871049825742,1.1390899548562075,1.376306585774955,1.2964468213638387,1.2824822806939293,1.637140374758224,1.7255679896948737,1.6937759257471017,1.8051919142069024,1.9859744143327418,2.0719496136807933,1.9339388756286344,1.7884298106640544,1.7528791993240853,1.4683354603151317,1.4546120723663936,1.2798659309772655,1.7352475673459067,1.4238668991190946,1.5248653147519975,1.385249010653977,1.3413869988444918,1.2021354923113416,1.642002615634203,1.5611458660206716,1.2654675844293146,1.4458895609026563,1.8887666553660987,1.581779620722109,1.440628346079819,1.6757760226321248,1.9248242953132932,1.6731548491824828,1.6400248752568582,1.241001831565255,1.2559071536593212,1.3429224807175308,1.1110913606035577,1.3284089692536178,1.1869407852571117,1.4126343848852725,1.2728372778275492,0.9960891735076683,1.0038454608035576,1.0464760340952237,1.0454805063225023,1.1088185952660228,1.2011579261970957,1.2710755688911568,1.2640818244606986,1.3344037993678404,1.661587635924913,1.5202639431651768,1.3870180533535845,1.3017955124892713,1.1690806693640559,1.111358795139869,1.1868860844784792,1.1544379687845936,1.1761866453397023,1.138237506784713,1.2275659913390007,1.246293082491098,1.146576700960875,1.3686605333256212,1.4345852919096898,1.2364223787100865,1.3257920376587038,1.5976982748338966,1.6486618978648981,1.5287135316292744,1.5572811851387631,2.275633831771554,2.274625941769742,2.0181196601206652,2.0639510986602256,1.7095073334664768,1.9362473050956008,2.2511676626418975,1.9427560306362783,1.810701192053274,1.3349303498597422,1.1381580124233086,1.242372217485802,0.9054617008584864,0.8104634138428864,1.685163501296718,0.9786883622632155,0.9771409305605212,1.0947878757942993,1.146634641095496,1.8012076696612322,1.113903966535484,0.9910717686820398,0.7144110947019802,1.149726981261448,0.990994759444631,1.1686240033096862,2.228454035725718,2.698510959023798],[0.729185895884939,0.750911535262618,0.6875810152790881,0.5887745620709519,0.7899490144693555,0.6550402396595828,0.6080060752826096,0.6181022758114068,0.5922589507027438,0.5424220470601072,0.5543558485711292,0.582436488525125,0.6111418700508744,0.5764800869981336,0.6689716259262674,0.6730460237910287,0.6539581560950886,0.761870925920983,0.9110487974662197,0.8804259442269695,1.0099008669765488,1.1125250771919417,1.3459916857252323,1.4294331455546496,1.2535211259748715,1.014988912461051,0.9291500481121099,0.8165145105169327,0.789686278997627,0.7099865170105385,0.7468408785853403,0.7017664702987702,0.6950613390953867,0.76757373315193,0.772234959902955,0.8071248651405397,0.8035139207394864,0.9372887472673883,0.9416955565944536,1.2368229691810608,1.1403745850991032,0.9991202370705679,1.0801732908397625,1.2189896666601596,1.4242143336602746,1.7437159862509028,2.1420231956896547,1.4831039122769518,1.4991959253060496,2.377353115577287,1.636994051458082,1.8614440624315494,1.3351083653929945,1.2903727685564776,1.5045547632044673,1.2880368055042297,1.232123598413835,1.1230627104302475,1.1671697272593258,1.6433307352808608,1.2685209806695628,1.1293619035554456,1.0747531600878824,1.1556474636654748,1.1402965519437978,1.1087572863086161,1.0306043603801327,0.8499286733285145,0.9066551166727556,0.823235541630714,1.0733739972726304,1.3982655062029534,0.9679557614431908,1.1845061565844426,0.897706891201368,1.06481667818287,0.9230831963678469,0.8965226567963904,0.9267897328049857,1.0329189427570404,1.0026286398747497,1.0636331308208031,0.9780349833942324,1.2420831419864957,1.0448414149350216,0.8967683118826291,0.9499543722451895,0.9036152042848006,0.8789224916303642,0.891182976256368,0.8047333076212401,0.900530098097403,0.8515771417111067,0.7607431746447441,0.7298578279611063,0.7757731076804694,0.8699831654815602,0.6652984985693842,0.6378627745463256,0.6903449111114282,0.6997501323941401,0.7491465242707706,0.7836444910055822,0.797046724003986,1.186970256373231,0.8564306522837141,0.9504763533971561,1.0178769157690906,0.9418981755205277,0.8904071843815129,0.8490308869288863,0.7217464685044302,0.610331706490904,0.614243835894063,0.5908164679416537,0.6165591704386898,0.6933922345473569,0.7445071773067949,0.9575613792552824,0.7376149392680386,0.7225998856358848,0.6571552537293994,0.6392641733318217,0.5584915464840015,0.5277385142749111,0.5661398534508179,0.8437812825111505,0.7392051875471997,0.8426432508568586,0.8852023538603223,0.9680940936642671,1.109540556549576,1.3021622548088267,1.2221398333518543,1.1079239586731287,0.9082726700678365,0.9116286166929738,0.8748656063511391,0.688049671975884,0.7931104215205843,0.8475520200763941,1.1654422146948569,0.9052766047865357,0.8412274542244237,0.9427556068270323,0.8101294823246283,0.7335203256802714,0.6620983684211016,0.6577899364110273,0.6144521772888866,0.6784438514285411,0.6273354528775291,0.7786634560277926,1.0591523935432807,0.8378272811559068,0.6528485689796004,0.6459397230074884,0.6668600951248974,0.709407870152683,0.8199883332890273,0.7913737793269725,0.8360875362655174,0.8654632636186076,0.907649726257972,1.0393865142340846,1.0832989952275056,1.1546587764018357,1.4465862196570807,1.4202148467450761,0.9869009579793434,1.0216954761870685,0.9053252813972956,0.9281305772351834,1.0007314996535834,0.9477133566945078,0.9013147056044319,0.8312080481482665,0.9356122493113356,1.0584444952013488,1.0597440973515688,1.00556250749251,0.9866188104059708,1.2622638285500907,1.4147860534802956,1.441802228794218,1.30636073223758,1.3231209429320316,1.687626072762856,2.2011415052308716,1.6434083524115262,2.66120171247684,2.5322338184224473,2.3753048113472524,2.0418672962440874,1.8955333766004903,2.0125488040833743,1.3969949487299036,1.3003091930684643,1.137956137719756,0.9901435020945409,1.0436914400462496,0.9797435830305781,0.9233992546774294,1.0176093186500974,1.0362971895552624,1.1599190557064911,1.381199639889813,1.2996840392882818,1.295776346413989,1.6529208673241398,1.7264066857643412,1.6985692967711878,1.828355833744132,1.9943800027517156,2.0766855253817735,1.9230984867542573,1.7789993186453164,1.732240746095809,1.4615851950668979,1.453983194544207,1.309374924934265,1.807489690374699,1.4865241444939412,1.5617397168720135,1.4412535419527053,1.415383486626342,1.2626257066119246,1.7334036931360834,1.6518835070188116,1.3146415019214897,1.5004421088103532,1.9710161218140203,1.6372128592985555,1.4816596633191,1.722437837617099,1.9847678831318118,1.7222664118018736,1.6399575632294996,1.2626845393002126,1.2766799638234232,1.3765083467466106,1.1491834637615577,1.354508589717216,1.213051312566137,1.42314757828505,1.275982761990945,1.0222905169637895,1.0147521852555976,1.054787785706265,1.0659521846683853,1.1266746224732145,1.225927474094613,1.292862614343091,1.2821028987491403,1.3542943054710697,1.6834759180365675,1.5320966948081143,1.3986607050089679,1.3108346305570102,1.1847313021013721,1.1316684893063724,1.226128930646799,1.1787894337845835,1.190138096250116,1.1753675652195326,1.267267206006789,1.2678956541640727,1.178860368841923,1.43010860824575,1.4924825106739554,1.2645586555861021,1.3660288430907115,1.6704601361060227,1.6932766594841393,1.5342476343733453,1.5233540384881519,2.2438121795888923,2.191570082902361,1.9836633959369159,2.0154878926396873,1.6821841019101027,1.92002173047054,2.2063160934981108,1.8928859524170878,1.7525615583394072,1.3213061602768825,1.151343730167695,1.2700887679224007,0.924445663770329,0.8345805318450785,1.737203088953286,0.9921622380498694,0.9912500630131551,1.1253164029225655,1.182009201002647,1.8225135441769116,1.1188530329914528,1.0138847855931752,0.7096812976868618,1.1208341480236466,0.9713143219916159,1.19260139511457,2.2252571637200544,2.688848911796762],[0.8025374756487508,0.8003736513176943,0.7222016847889752,0.6198894844600413,0.7795559981097834,0.6425126035339409,0.5718888897305088,0.5748860452570539,0.5730780897800837,0.5510545475387161,0.581625181428523,0.5892877245780243,0.640754321032178,0.6467234854932682,0.7538902850610664,0.7413000568393391,0.7408624308989863,0.903647929515142,1.1045891372223542,1.0222644052731678,1.1677200630786464,1.2458266242201939,1.5239253633646739,1.5781657700065954,1.4379803452486843,1.1896134598419807,1.0853131021821572,0.9677644603648904,0.9251535673637151,0.7881608714661753,0.8426428864047417,0.7690016559887486,0.7709725508716394,0.8701681702305043,0.8494900276725574,0.8963930510989769,0.8820480686740723,1.097557159387416,1.070445273413775,1.3494551319461723,1.2946653780241228,1.1418145083655518,1.2278071755359505,1.3764541759548388,1.483002479430306,1.7407864139406022,2.149210167924953,1.5348386733889956,1.5837822543269775,2.3744319898956108,1.7005407616430406,1.8228949090411468,1.4185542948206502,1.3941400726120332,1.6030182926695482,1.364059468282394,1.333515892286673,1.2617003297075242,1.2932841604569045,1.799387261748152,1.4188742311589708,1.2939067103804331,1.2051666407556727,1.3060595518075535,1.3253735175557648,1.2349755207660296,1.1818625726397933,1.0156743768000678,1.1194066475446955,1.0035915346424125,1.221359227947367,1.5371151952073638,1.1596489692374017,1.3823328746730255,1.054229317994394,1.1154780485724622,1.0840546906738475,1.0241185104854216,1.020964404283805,1.137971530546527,1.1075248633730586,1.1635574611138348,1.0711400538823954,1.3311838186733895,1.1430908875622268,0.9798594377052137,1.0694539313771874,0.9912524344457962,0.9849763252336196,0.9903629755688487,0.9183193476415862,0.9913008384836015,0.9414324633990675,0.8370506517366486,0.8131841091608487,0.8689548029490145,0.947265695718717,0.7289240067449752,0.6434542188653588,0.6773055881495136,0.6829838636343779,0.7083235083445714,0.7745702590204726,0.7768611887579837,1.1160717436764658,0.8554214483387318,0.966625799245963,1.0425102388586958,0.9620270996372456,0.8965837213425673,0.8317786082954978,0.6903784443377123,0.5676905674655273,0.5807273137039329,0.607554536541795,0.6897502526502413,0.8382602572949313,0.9307179573289245,1.1711120972720366,0.9154541632541817,0.8847462312402121,0.7717835057878678,0.7612598670577538,0.5874714113911086,0.5199993291316635,0.5535098418483644,0.8110138810541652,0.7103645692928219,0.8310569778972008,0.8839433824182953,1.0081663088280037,1.162902911171726,1.3567109328229892,1.261420472812441,1.1305956539231232,0.8895982417175204,0.8895286248583478,0.8888551189795018,0.7255570253965455,0.852630457719385,1.0125070283458855,1.2783917253348074,1.0662921093957882,0.9646962650376875,1.0536257753699805,0.9108219670664862,0.8171063471618207,0.6897862688780954,0.6385246339744357,0.5827824199833681,0.6366170870430974,0.5865471883570018,0.7494132425143896,1.0991816619066803,0.8462353037352094,0.6261335586927301,0.6179924624437978,0.6242626183017893,0.6988421076917908,0.7981879181492613,0.7928835476551465,0.8801208897105555,0.922079134754842,0.956504555393277,1.0896324439417595,1.1023087928404562,1.158127251170178,1.4455814476774174,1.4274585652560867,0.9710535793408819,0.9974103598178465,0.9107692223292382,0.932224915777159,1.029710702018968,0.9703236894371557,0.9001330141969733,0.8454930314344701,0.9428633830342908,1.086656415327854,1.0796425460834445,1.0402169880247196,0.995683429818015,1.2820995320838586,1.4559653737716536,1.4877072253718202,1.3513933466530055,1.4084364481449105,1.7547000749147161,2.1862361103333052,1.7149489102040745,2.6428659191538815,2.4776528647313953,2.3808255814773895,2.0756885670243155,1.9686253797412876,2.110189596317519,1.4745711462961435,1.3861098076454923,1.2345684256205642,1.0646202169937846,1.1610291807970268,1.0698787269052663,0.9922879235910892,1.1360417531166758,1.1781812769661706,1.2693342017006914,1.487891252201604,1.467925190729134,1.4696854266688884,1.797317741886232,1.9066435698755548,1.913347341885297,2.0133424629860537,2.158256496809798,2.3282742757572326,2.1353144765183485,2.0324630468458107,1.967913604822019,1.6882134387659418,1.698411719201177,1.5556713918203708,2.1658769708190153,1.734536440425646,1.7632773522302403,1.6248957608252612,1.590674245091669,1.3875858855311387,1.844467466979613,1.811167316891677,1.4342123847764316,1.624141275509786,2.107937926881451,1.7805710932089571,1.6088014084813673,1.8158051935243313,2.103887575703313,1.851807142983491,1.7288191495241467,1.3858309874199475,1.3736784546872556,1.4784787960835233,1.2600858596387938,1.4383034750049404,1.2929535555303837,1.4749098550413526,1.379746645609108,1.1110729988995005,1.0618860312323073,1.1057331503733552,1.1880645624594734,1.2724293345873174,1.344394705353525,1.4340593127766779,1.4642353374104293,1.550228124049667,1.8689213555256938,1.7580761725935101,1.6460215024519973,1.5417441058906398,1.4014937643955871,1.3149832388455047,1.3937262832874526,1.3990351523905205,1.3909123304793807,1.3477526637658799,1.472460931372788,1.4816068967019065,1.34912626648485,1.6114110333909206,1.729753847593509,1.475601131983129,1.528560399789385,1.886722232220967,1.929112737430302,1.7151735590671422,1.6748525668778498,2.389340923312919,2.2729234421486204,2.21018286676605,2.185852759822347,1.8407309657372324,2.0305072130491046,2.313404069950443,1.9734579641099965,1.8476301761141403,1.4190372335976635,1.2864136707823184,1.305338720131367,0.9831474243379896,0.8382740578738179,1.7428705611122535,0.9946966305740264,1.0243779318898094,1.1072279624778034,1.109853605610178,1.8242670308136801,1.1009490507092914,0.984070587766145,0.7245434758694504,1.1276148170247795,1.0168136756776454,1.211556286082949,2.241265450314117,2.867622784752225],[1.6795582102581736,1.6710391317298023,1.7507599955415647,1.497716407931429,1.4864882838759697,1.4459458403451966,1.3273341854125833,1.31406790512938,1.3202439176039884,1.270737928496305,1.2880688829453046,1.3027028884841088,1.3110075177034552,1.335211530738739,1.3976069348655442,1.3552061533131767,1.3830924809034144,1.4793894433991293,1.6012524203754894,1.5659547762335184,1.7080202691719022,1.7862523493303848,1.9671676703555445,2.083012512685224,1.8096613102174324,1.6860433468536842,1.547755237081175,1.4453334021887225,1.407054468532666,1.3371646506752517,1.4587768286802403,1.320761209486635,1.339101306103685,1.400674328405077,1.3873364877980088,1.442140308889283,1.376772766473331,1.432378106092863,1.454511331547698,1.6466151637727284,1.5867941321184322,1.6119785381158775,1.6485637416453012,1.7554595804927833,2.1200612603288467,2.383826893665644,2.8498429907656266,2.1091522287815176,1.8287723690318438,2.6636916923179217,2.074530184538396,2.1376439812384143,1.7480609064062727,1.712139441381506,1.882335394191118,1.8186332831653256,1.786759653843797,1.643735826858479,1.7160461839297325,2.0684642174980628,1.882949389905054,1.8003315409077132,1.7431996516432047,1.9481313928960815,1.8753683868601896,1.7095401563025872,1.7590737120994682,1.6107950929391948,1.7283923340570184,1.6524343066967562,1.841195277890658,2.117601422264529,1.8055913791107,1.9594679561381536,1.6778622717444938,1.9544299698525376,1.614957439613302,1.5801773738870513,1.5219594759067177,1.5748490929961712,1.5279998778638346,1.5352176353744658,1.5216643479324221,1.7637053119090234,1.5530654834594202,1.4528609611052143,1.491764510925778,1.4609763452246487,1.4906301870702428,1.4792573195505003,1.5311210879020798,1.7470823147003811,1.634406696317485,1.4786221896581837,1.4153272703803925,1.492469833224118,1.509842594621389,1.3185109191270017,1.2992950123390599,1.3498246892755024,1.3075163882563308,1.3945457530459668,1.3915097308887276,1.4430801799389938,1.4693792309291427,1.5299131358087426,1.6450352889400228,1.7215897097455066,1.6987640715124606,1.5723943135695815,1.5443469009528343,1.3575205466562215,1.2927070538568552,1.2363343652195564,1.2773484095348566,1.3038893377311969,1.3899270472907717,1.4474104995746535,1.675217835500305,1.4987003741272171,1.540314945596802,1.4390358797572438,1.3877468081132336,1.274392441245934,1.2460308251955423,1.250673869402601,1.4015651528792616,1.3676130709678151,1.478810854628743,1.510724313906285,1.6951427317656853,1.8916199127613667,1.9989040459461458,1.9165736157690487,1.7053112332194,1.3657180785698178,1.417072603580118,1.3228015664568766,1.2269709590443065,1.3343091369208315,1.4124190103379783,1.6678484436524663,1.4913279510626243,1.406715747246095,1.45270203724286,1.3828807530632146,1.3393799040566519,1.2787004892916174,1.2920983573286968,1.2821520719798132,1.345912422607708,1.3187746869735193,1.4551663658088012,1.7004571355679285,1.450533041727358,1.3434046485423161,1.3196187927910328,1.3415596678424573,1.32099115224321,1.430224139765643,1.3676711947296252,1.3999873459944183,1.3929122831510299,1.4243742920044338,1.4470131024387842,1.4867017965324514,1.5046946587702001,1.6658649736005333,1.5554882017705347,1.3487445416256056,1.3667243503660529,1.3830216103596837,1.4172738069434774,1.4984737188932948,1.4755694250622156,1.4535423521586783,1.3900704202531875,1.48007668664879,1.5607049088306366,1.5936621185333297,1.511119954267649,1.5568715999408105,1.8102083401677178,1.9406779977081559,1.9316742921134813,1.7255870557749107,1.7035471460836435,2.0034050498248557,2.3323163050076503,1.9901304143957155,2.797766896727748,2.643475642726018,2.6537407975470013,2.447246793027969,2.5135075359724453,2.752529366461126,2.151312114351116,2.2228217348144903,2.1167172725915853,1.888439890746209,2.062777277137818,1.8460454763657634,1.6594952389179907,1.7993465613383328,1.9066779350668381,1.6735154581726204,1.7122945352210632,1.8516767954460907,1.828741736204231,1.8437588094179793,1.9221384368090733,1.9581752814469058,1.9547305425134074,2.064600615054705,2.2177530853182765,2.1584247130388983,2.147563229876891,2.230148764792428,2.0794736555891418,2.1684624222909514,2.544926038528587,2.966285905578298,2.969832921242821,2.7799542174806606,2.781969982960602,2.9019278079754756,2.630543881509954,3.30415049820632,3.222607444116783,2.667712288350631,2.881817453729669,3.466633525096476,3.0996657824884895,2.84289526989509,3.0709728262188865,3.486737734998034,3.112716729208429,2.860088602269733,2.3647575326609993,2.3416068058923862,2.5794521816786844,2.2884400807743313,2.3914432265470684,2.3122676839953735,2.244872258765184,2.1555871199529006,2.0987299439316627,1.9782107895519483,1.8660025446359199,1.8519425243008163,1.8221742246449752,1.740939975120763,1.74310335990791,1.896911850457952,1.830066436342347,1.9676293435798247,1.8874810306179859,1.9617489187432142,1.9991455063695167,2.118469925328251,2.1142974944303354,2.4138673296753956,2.2910130011161476,2.0641378425716175,2.3604533663869733,2.485098248728409,2.288519053593227,2.2770940195418987,2.8135241421614143,2.816279897003997,2.359961303460827,2.611437340620858,3.0498799126943537,2.8722095426591716,2.4602457606103547,2.1070214759067345,2.600593040740145,2.496163308925783,2.3950698888855237,2.2096929250101756,1.9551584295746887,2.008818468644927,2.245644179369344,2.0054701456653277,1.9749637753233915,1.7515383296405933,1.8162319106634606,1.5362958240556484,1.6934935108641174,1.4534454347578645,1.7352319346287532,1.5949506584545856,1.6415484725529905,1.5725020490935009,1.5310795437252886,1.9412395238099154,1.604415411920372,1.5164768652729788,1.593787136623127,2.0874499344320467,1.8990511075496292,2.051529338074557,2.8020238039042833,3.0898657187401675],[1.2951136478764453,1.2614742493165505,1.1898281450894026,1.0207656310503208,1.0746281355561398,1.0140764737529935,0.904450822181092,0.9007971159051544,0.8568382914551358,0.7850656329136815,0.7977781075623454,0.7941234420343232,0.8056852837555907,0.7919852612058039,0.8449836869081379,0.8426569642959365,0.8338637436510811,0.9328588247514361,1.0766063730034872,1.11087542576817,1.2697085080550485,1.4250107218765065,1.5655313081410713,1.664037839055845,1.486842285940732,1.2515206692737892,1.1467599281987426,1.001413115017112,0.9641970086624847,0.9100147954935495,0.9105747067321871,0.8959946327089179,0.875293232587458,0.9339481069298333,0.9824264833568844,1.0067947179952539,0.9947692760977037,1.1366239358891888,1.1889114819210056,1.5448756005700541,1.4080387747255907,1.272211386061732,1.3689681461460497,1.5002616286697301,1.7948856511678157,2.0961986489252347,2.537831414449914,1.8695086031207606,1.7187869884220317,2.583379882620376,2.035284088583674,2.1499883407709004,1.6767117561825104,1.5466592770159,1.7386689910078836,1.6136356414920254,1.547021259314385,1.3866806912674274,1.4673943525280544,2.0051152833234864,1.5515878491410333,1.4133065027130727,1.3211172683383543,1.4156647893585468,1.417264259078256,1.3639497605248825,1.3017391263640563,1.0732566055358093,1.091994944572996,1.0157959040378273,1.2453834101527486,1.5556198968098274,1.1688247181715545,1.362041881792557,1.110098908694145,1.340781850784632,1.1385258712601671,1.111742577894584,1.1717110517719245,1.323888648183025,1.27397573865823,1.3703106091562913,1.1812967576537916,1.449308955112422,1.3179437464552803,1.1614682236824492,1.202153710329443,1.1399897919688333,1.1114327681093403,1.098751206711217,0.9823859679865976,1.0894246498062115,1.0199840039075596,0.9201418317047275,0.8706246566737963,0.8911678304418251,0.8980333774103644,0.8120287373590865,0.8313045116066216,0.9228704600548095,0.9312025862562444,1.0321981780100478,1.0446222478330278,1.1080598822714203,1.3985079513084813,1.1955074898591758,1.339016927879911,1.4295463024635282,1.3491396725499174,1.2582196098243663,1.1823750128043884,1.0380398397619877,0.8927136447315293,0.881126828926606,0.8090609460805166,0.8040684838127645,0.8710777785157808,0.9261648267004778,1.142824912330038,0.9238341946066742,0.9309071676099939,0.8555518851688805,0.8232428279191186,0.7830169025049806,0.7778053623473433,0.839088258132362,1.0785501176958423,1.009531456316046,1.154709940080911,1.2712897275420054,1.4075477821903954,1.6108683964757902,1.8096165173990117,1.7139234990273415,1.5473426168657904,1.2500423772402687,1.2079398587446175,1.1839975371075813,0.9536813629175239,1.0266655604608286,1.044798547825713,1.3068579054747045,1.0808418681892253,1.0452558033772914,1.1655865621031938,1.0217094973048617,0.9496899036368026,0.9056244226900304,0.926619415917142,0.8850449785567488,0.9784731850282437,0.9208255530602047,1.0901686068940846,1.322587039730897,1.06270712022298,0.9267034941242779,0.8873074899934897,0.9637993452572823,0.9488205712425134,1.091319923536974,1.0770584669278918,1.0834883647812683,1.1243042664199168,1.2009303961324977,1.3243433308133492,1.3703746212462178,1.396756033904171,1.5927420255259306,1.553710467578845,1.198628459225674,1.2414692913978354,1.203254622326349,1.2476707310119795,1.3297530909620423,1.257494453816459,1.2126328180112982,1.0924652651600544,1.220871207796522,1.3721386637336401,1.4238996903140868,1.3453642659569982,1.3674103485558085,1.7105347799705382,1.9092810258659716,1.8960322802837106,1.7059438622303853,1.6750552335981308,2.0841113317009197,2.321934326683652,2.0094742360665814,2.758352884094846,2.623699033013733,2.619681624483236,2.3863821204294227,2.39802437460269,2.577981048305617,1.9803348199048945,1.910074993198328,1.7217348170051507,1.5192752314064535,1.6084572434824624,1.4392545756761628,1.294392798824486,1.3770727594870125,1.449123720316446,1.369192530834452,1.4727296632595626,1.4945109997356347,1.5117561061047484,1.7514705080030586,1.8263317814312157,1.8465740726834083,1.976396820419558,2.110416711055247,2.2771712133282613,2.0709038630189256,1.9673018915007296,1.8599341372307816,1.6627856105541696,1.6865455352917085,1.8963931011312483,2.4840705824608555,2.2918507232336194,2.1801678949847823,2.1516752340825565,2.2610490747202974,2.0205153631629664,2.672419832976003,2.5620816294217916,2.0091144590662497,2.331632394948448,2.916814439130839,2.5087631470362872,2.2876570986584284,2.4915193236398627,2.877805430890997,2.546886244571961,2.3819658791166725,1.9028956326490767,1.9345348248198861,2.123300372130336,1.7768941929716247,1.9407463066856574,1.7838147725800986,1.9032603479835268,1.7880813915559701,1.5936624544445017,1.5201733783542621,1.4800827935369731,1.442313851510496,1.4504493569932455,1.4753381693173713,1.4905261357072035,1.5603354656440018,1.6061395974146282,1.86645513449881,1.7385926432884384,1.6769876090147824,1.6001701450895955,1.6208554791234047,1.5923350005173598,1.8129195094056783,1.7103030201354361,1.5608882226064524,1.7560525367411963,1.8538205009095854,1.7258250779218456,1.6969188712438976,2.1715478008999094,2.1915593833081197,1.7372662199731386,1.9994823858393165,2.390129615557289,2.2135798883381814,1.7962777497314337,1.5835000533078325,2.171757643030633,2.0614034654412725,2.0691012702229834,2.036264428591311,1.7185636800213955,1.9283526930755999,2.185564496795613,1.8432608287026313,1.6664998835821754,1.3890279378482542,1.386461448447965,1.3301981399691358,1.3450299798610925,1.1250200148455949,1.6930677843346476,1.267486362160059,1.2675690153958836,1.3484008629221373,1.3228965837652225,1.7925370583000295,1.2981397626102769,1.3234232915203892,1.1252280822866592,1.5186736948995656,1.4510912451939146,1.6013427394755522,2.391223080207987,3.0397486313950557],[0.9890137606784406,0.9319297299742085,0.86302037713163,0.8829408426445655,1.0329178645506956,1.021119307867128,1.0316942951028762,1.0398204173603869,1.0894267303975216,1.1359646627258686,1.1830682298588044,1.1112782606636198,1.1588041984042479,1.2027784467350642,1.2291770860505076,1.2083057629198595,1.236344396407725,1.2991639784671623,1.4177832829370942,1.4159329665255314,1.5634604759405573,1.5934883760862653,1.7091999461323208,1.770473017313562,1.7005383716957723,1.5195518597529822,1.4021247175732887,1.303466673404202,1.2792838524318877,1.2189499259985,1.2522302543494956,1.2296267375905117,1.223282413899161,1.2605757345123652,1.2718651939144134,1.28036375723764,1.2248170008355224,1.3134964336134014,1.3012721927437807,1.4540888685996765,1.391861408490771,1.43093903903739,1.4653565100679355,1.552476483155749,1.8227871862978016,2.1446945867522054,2.5417655299073605,1.9113900397548946,1.9285321956637635,2.703426840967715,1.9798488551304498,2.2512144884051595,1.6221313066571017,1.463498897160333,1.571357585132152,1.5800197407224932,1.5599091134599679,1.4254489041823475,1.4768268941406273,2.088640294529037,1.57910342132289,1.5355044683555437,1.5115565060200695,1.594990689808625,1.5407837079103455,1.5687101399315377,1.6599116427728717,1.4306092545759848,1.453942273385737,1.4280534649613952,1.5914800485281178,1.8648604662137598,1.5559137290024463,1.6585916980450397,1.4751831862124483,1.6315891127072961,1.4075468953744799,1.3625634571620562,1.3826550152414796,1.4738350857680422,1.3504405192599245,1.3722729347255211,1.2300274494873487,1.488020973513929,1.4109746599391042,1.2273164558419436,1.3273309900289036,1.3034959232641372,1.3530722397420623,1.355696003842782,1.271226291074763,1.3401085347440047,1.3204777476768292,1.2709970672633857,1.267896419496394,1.3036529228960627,1.338805739874638,1.2229302403784525,1.169598942110764,1.1213392009053542,1.1625893582636146,1.097117740997136,1.1376876969628769,1.1038828491493653,1.312630887076277,1.0679991195332235,1.1674255651689645,1.2251446945426883,1.1390449968896714,1.1126640991847287,1.0551292384610422,1.0359926267972166,1.0376403038261879,1.1014076510238753,1.1523323790549773,1.1804459586570961,1.2532696551046645,1.3286791506504287,1.5077118220522763,1.351786177406126,1.3794067664083158,1.3023388646998006,1.2662402409393918,1.178876643932633,1.0993433541109308,1.045231323081876,1.1243994373740818,1.0449206894297807,1.0627956401484042,1.1253379502913747,1.193893679140884,1.3355318245552132,1.5058520645354996,1.421351190461779,1.3393250429436767,1.2700360524699936,1.205284343479929,1.2813892376055387,1.1830676832431783,1.2351126246033481,1.336866579027224,1.4505173287836715,1.3185887305845303,1.2645147348679522,1.290983764313214,1.229338673522082,1.1836659717901,1.152007862815843,1.0795302178781512,1.083442269449895,1.0517042071241067,1.0517246507462081,1.0760973537089564,1.3577014921233665,1.170802543919008,1.047046663922743,1.0776122913953678,1.0526921400964588,1.1219650496931224,1.1058206398115775,1.133288379133373,1.1905082484021954,1.2134378477685481,1.2548494131510481,1.2973181943962404,1.293324292908233,1.3613653674514852,1.5834256887956573,1.631819371952929,1.2935763400330824,1.3230764034768236,1.2392310428837037,1.2290121646291254,1.259313622951967,1.2125570300091184,1.1486515698120399,1.1884418680820916,1.194405525494169,1.3145719077484133,1.2732678205676125,1.2374224091482193,1.2168298716842807,1.4406813782356593,1.582251071424442,1.6026515478735568,1.4941558133597623,1.5266488690715667,1.9674731145706075,2.685976069647694,1.8750724993744121,2.700565729487083,2.519912915629138,2.328272471224638,2.07686224680593,2.0391995561851246,2.216777218599278,1.6593641243601076,1.5906719306185266,1.4226638432801813,1.2471995699633363,1.2729767596095707,1.1297044588237375,1.0597457802135504,1.1133613832362201,1.1481375267484157,1.1873501432970455,1.293201648761042,1.274767107057383,1.3163715295961191,1.6385547257035487,1.6784639918721336,1.7017428106177603,1.8895769958197939,2.0061193076260326,2.1305304049600373,1.8671219461718132,1.7649540204445209,1.60062140956306,1.4195334221604279,1.469335757021832,1.593051839994927,2.144254363889384,1.9737127291740169,1.8238017101262747,1.750050277356477,1.8349247177029844,1.605010548106749,2.225100664826776,2.1542870570963335,1.6895550586917312,1.9253649169260902,2.500300739737991,2.173614481300501,1.9401834650936103,2.178100804803207,2.5664795806406406,2.2321623053189716,2.0789715034444716,1.5899535919856527,1.55814581411208,1.711320537060214,1.4025732090313618,1.5389554189957286,1.387408735756689,1.5609999381099295,1.4677801618767334,1.2045739613521418,1.1697784979420756,1.1868037150068147,1.1634499138928167,1.2231802597066528,1.3217323685130464,1.3547973738754346,1.3408816156967072,1.4622640965654257,1.7682714776792183,1.5926263587551643,1.4795822807791643,1.3638571275705202,1.2971018382119217,1.2739867485611558,1.43526335378478,1.3457022431517411,1.268263557208388,1.4102198752177226,1.509411993072659,1.4008545353856257,1.380799253582918,1.8394379095863773,1.8813070063669723,1.4579353144281813,1.72964608592184,2.1614719487256013,2.0225919724629478,1.6358594095043226,1.3553212244399897,1.9133443513428958,1.7420075740356664,1.7540516973121445,1.7528594863587978,1.49199187539679,1.7656173876094508,1.9657369063237715,1.5875162340887925,1.395835215325135,1.1232549534466603,1.1527329251449403,1.2314837215306185,1.1048063927794292,1.0233494918305348,1.6990351666055237,1.1217640085791987,1.0908663285608988,1.358015634306064,1.230078519817227,1.7036077341462024,1.1406996686739521,1.3587859934924995,0.945868348736917,1.4134384334509795,1.2881508895631517,1.5047038539646622,2.55387903356569,3.2328227134445147],[0.9979436642839947,0.9093334119737546,0.8329812797992433,0.8015365323760528,0.8674084246773357,0.8317788288071429,0.7803193043809149,0.7658918813238557,0.8120163563683152,0.7776402523939772,0.8216801139638176,0.7837311584950695,0.7444107932166477,0.8163628982223179,0.8504491218012487,0.789357265615719,0.764361665064285,0.8277190285464406,0.9384856911198414,0.8938794593477181,1.055027883656054,1.093426591621016,1.268399061436106,1.354979110067833,1.2092865343790788,1.0212411359453641,0.8953590691068778,0.8301193895764986,0.819690156855399,0.7514147607763739,0.8308118725631707,0.7623014996513523,0.7707186319525101,0.776935871483885,0.7842059578828711,0.8011096891208755,0.7821164704944431,0.9154566455603493,0.8657821281773054,1.1203711221305948,1.0206305662284243,0.9135620541704469,0.955766358177829,1.112112738109842,1.385590752094359,1.7414855953073096,2.139477939108069,1.4448438575844398,1.5378203473145586,2.411735091798535,1.566426804250499,1.9316387736999168,1.2380277962740422,1.1586205508624443,1.3571064956337087,1.192056016626236,1.1384276431602554,0.9711942095615718,1.035919283742816,1.643573645636977,1.170096580666931,1.0896008596613307,1.0411776660118526,1.18499237956502,1.120380603502744,1.0654007115089559,1.1325279345058852,0.9192027475661834,1.0337082892607359,1.007538486867991,1.1939389799944373,1.5377447864434561,1.1571774817318314,1.2673285912540135,1.0147382914059597,1.3477967428750925,0.8991558834298189,0.863246469721619,0.8663260919460937,0.9534632176016195,0.9049724223857538,0.9660209855974221,0.9034738966953967,1.122948086523749,0.9767683899583053,0.8084494070321395,0.8700540084652804,0.8281813948511977,0.832612393177908,0.8316722547568887,0.8256837046382238,1.043189628727525,0.9473398902638615,0.8702429572698899,0.8637169307319718,0.9584854782315381,1.0294079163251841,0.8041007000375752,0.7742614475759532,0.815372930529089,0.7604025273391055,0.7958755214528551,0.7739887966370478,0.7840220269063443,1.0301836391544836,0.8569586683070717,0.947849260959572,1.0122898478071205,0.9310212132664217,0.895603655818003,0.8598201954310736,0.7509793199410603,0.7097659975506178,0.7046578197786033,0.7090456583710721,0.7114295612887562,0.7690440213710328,0.8252090719187831,1.0453467444382116,0.8377013302599055,0.8784211674739778,0.8093294561302674,0.7738679891953656,0.7415216560906055,0.723522091308643,0.6833287130099093,0.8767676020990178,0.7440327267276459,0.8136756734020171,0.8302676316921564,1.0132887234221855,1.1603462698755498,1.3448280069869063,1.1925959444015992,1.0988858724800112,0.858247578363936,0.8429332886677747,0.9123153522652564,0.7526404893732042,0.7709844655435433,0.8453349696755387,1.1190993674223912,0.8775251557069006,0.8358950901447828,0.8946496103796653,0.7912757355948812,0.7570103687362715,0.7295925748988291,0.6954022982332251,0.7252345011521492,0.7704683952063759,0.7717882754176891,0.8177306194944771,1.2531063391615411,1.0357720643005186,0.7647989149572978,0.7196047065953155,0.7228078628061295,0.749011412967433,0.8046685038353605,0.7688805809672591,0.789006316351665,0.8149801319699075,0.8383794180940691,0.9510076803388943,1.0354230971826253,1.1280941533778825,1.485536377938126,1.5309585167738922,1.0276692358326918,1.0388812587429863,0.8412980315708152,0.8353504911456647,0.9374459789768348,0.8791235897286833,0.8366179009232098,0.8013421051561022,0.8604508891502395,0.9716064251240264,0.9646601356651759,0.9268909465181743,0.9533870010011353,1.2350155818504969,1.401578533911334,1.4227863184986875,1.219798195141772,1.224865380400439,1.6494249627557622,2.369707102970762,1.6030943203483923,2.6027808195252913,2.4168790544080876,2.288699377401876,1.9967071860296768,1.9214312128730662,2.129906249940847,1.5577886233962024,1.478657081972057,1.3229508884469905,1.09805664977194,1.141994909606371,0.959840694433219,0.870657001447978,0.9561599796690555,1.0059165441836542,1.0395101157255378,1.1375048655165447,1.1492112293118761,1.2163662932451427,1.5497382040673437,1.5877659067662635,1.6301907659502035,1.8402526009701574,1.9411719016487612,2.067706482878854,1.7767397059099581,1.7071068710406483,1.5166951479192443,1.3258225959871646,1.3948979592497235,1.5660698541739977,2.110566641106097,1.8982761580639813,1.7410729488407322,1.681126659540178,1.7509653780300571,1.4946850966294607,2.1304207771467443,2.092260165261461,1.6222897692459588,1.8418345611255402,2.4462926025016682,2.1689353773525704,1.8943009376809314,2.1299383389698288,2.5984682636969394,2.2253110197851824,2.064855014457152,1.5163439193111157,1.4417958062345477,1.5958991415929789,1.2590873948097028,1.3625067506832784,1.2090331920197404,1.3438860086265307,1.2970639777836102,1.0659398507279474,0.9808497413251969,1.018846703805496,0.99514468991546,1.089125930959337,1.2166872108550693,1.2541410608658885,1.2592353204564768,1.4098649954533933,1.74793216502794,1.5486225078389273,1.4429831159657618,1.296331378251405,1.2095122269688374,1.133670720494828,1.3160938159498647,1.2842963173196789,1.1747947347519727,1.304755473432346,1.457910536595538,1.3375678188477038,1.3124696003945584,1.8100495231457971,1.9076504438886845,1.4270887615461327,1.7164742967311584,2.1310894238309426,1.9915185430915867,1.6020755906512998,1.263507298144283,1.8045302724871575,1.6403476771876704,1.6426474471657349,1.6128247706972028,1.3453643370411326,1.6391636227979252,1.8171485650197967,1.4085135145898702,1.2039481780935346,0.9455613510956239,1.0106989981544139,0.970232493985482,0.9401483611485872,0.808787016683678,1.4982398168272313,0.9813812811076327,0.9401981015630806,1.261405536147639,1.0683126387027027,1.5301816787590392,0.9981859332340459,1.2243477537162335,0.8597743227090835,1.3254540940692388,1.2434020962699746,1.5345206066843364,2.538708917773476,3.1475135139355386],[0.8961244743295251,0.8336031501379251,0.7751665680391107,0.7569161723312976,0.840378984030323,0.8037682569258149,0.7362142609654678,0.7193837640788043,0.8017127822110895,0.7599934263380062,0.8358201437567088,0.7722546156219104,0.7368960335441153,0.8176301831914959,0.8302963147257619,0.7562511480424072,0.7877533646459641,0.8057267129170157,0.8709061255504871,0.8548076235313511,1.0164602833143632,0.9886105721974122,1.2033442199517337,1.3006213141645506,1.211032914182886,0.9943886743483172,0.8495589774744079,0.7433528213432814,0.7453448814565733,0.6851974982583293,0.7985578805904049,0.7039012032918103,0.7417666513617727,0.7581717989705499,0.739952224437618,0.7473356465829252,0.6936238658005686,0.792352866080819,0.7302334938495374,0.9151951172998603,0.903398255862644,0.8447816312065264,0.8839729380348496,1.0502039670813608,1.30900970176501,1.6948376872678268,2.1123752799985316,1.4287956733761376,1.6317263302482945,2.4801973700865547,1.5281700749446767,1.954822314415957,1.1574239773054387,1.0391471969935238,1.189768809043177,1.1237980345802985,1.0825209008401984,0.8863985970629706,0.9434554913154054,1.6629817342442146,1.0609891806911627,1.002614042826364,0.9608696223138081,1.220609356068031,1.0710757151835248,0.9601655950469016,1.1366246548524703,0.9145354199367799,1.0679414062812225,1.0634969578477116,1.234159860134947,1.5788338011366316,1.2239997365053743,1.312849486574469,1.0470838007252745,1.3918649838734372,0.8833677736519067,0.8291453717104763,0.7987366743961684,0.8334791736852356,0.7630633901579814,0.7927110303030478,0.8162946266632127,1.103955880606857,0.9493134903118848,0.6652675425431107,0.7421582678627121,0.7272540321313858,0.7761481181564285,0.7808867088869165,0.8199415108589269,1.0678894033348327,0.9352897223443297,0.8750357457490827,0.8520458474470196,0.9901789570006225,1.0048982874182333,0.7918248896231289,0.7397610041206365,0.7638231329772973,0.6940860830141146,0.6847431047322047,0.6439375222947433,0.7062519072624397,1.0050947422314007,0.7649390484504951,0.8297624847577456,0.9152085220999849,0.8137541247264981,0.7443370737493553,0.7490398925806777,0.5922370224603554,0.608170896234821,0.6078182127299288,0.6960483848171803,0.6571906557693292,0.7188138895060965,0.7647949182219683,0.9866495677463545,0.859334278332723,0.9576560773713877,0.8879955196980046,0.8167785401165202,0.766761749230777,0.7105333845860414,0.591498512659322,0.806743999824397,0.6410558593166699,0.6981689781711283,0.7052271441595543,0.895198710693694,1.0451566401050119,1.2206143301795327,1.0300878779714018,0.9397152161929684,0.7897730745465905,0.8089867483986332,0.7407189424630009,0.6095022767385675,0.6810880926792985,0.7268798308798116,1.0094214873552092,0.7557812975045242,0.6927423476004215,0.7193345571453954,0.6604869482078639,0.6380199300471681,0.6409627475418135,0.5889377594801035,0.6529913547212842,0.6982624428380774,0.7293498710749613,0.7437607404425953,1.2053063132344712,0.9640483335017876,0.69606515251798,0.6429332007820332,0.6382052069927374,0.6111784676472071,0.6556160070366954,0.6096204839470685,0.6344358600129816,0.6585440959830468,0.7196762984253231,0.8282009203419844,0.8870506722565992,1.0929203909483283,1.4822981395246606,1.608227946445429,1.1005409680928258,1.1318217262464672,0.7273684382114727,0.7191709789583239,0.7398330620790586,0.6784046890542541,0.6577185802556867,0.660123123161678,0.6770426283102605,0.7531197875503184,0.7630493819704144,0.7954806909076872,0.7858770870368695,1.0677245938753186,1.2344319219522313,1.2369888630768953,1.0586662170441297,1.02773492263233,1.5495481231300514,2.5316684662202777,1.5492630467046067,2.5924909698434755,2.4104567382406774,2.247554982186321,1.9453044646388158,1.8301298869681317,2.0365329740453206,1.4518664761903506,1.397479455738314,1.2646536010100407,1.0022036662597493,1.087011717288138,0.9005690014026001,0.8110651949073168,0.9307768277916869,0.9878198135566019,1.066047630435525,1.1369264907524383,1.1684994886540643,1.2813434520823443,1.6285614220258011,1.639446285943072,1.704482463288231,1.9582109673324808,2.0058616868072403,2.1432452362802423,1.7980872990009762,1.77797242980124,1.5330443713495494,1.3505116805365227,1.4350311185253743,1.616983966413346,2.1377479854248747,1.912562844923106,1.774077627390089,1.6866106177364082,1.7353890400745078,1.449985313336064,2.0755372094116726,2.085145025025018,1.6067723058610206,1.8015504281604282,2.423903904211133,2.189917094744983,1.8854710340413552,2.107864731244949,2.635619068532616,2.243660090258699,2.0518982777779646,1.4917583628764979,1.352078605692843,1.5118002015467404,1.2056980669589628,1.2680860177431899,1.1173206788736894,1.2153495520724658,1.2218372716021861,1.0100703851828026,0.8698974105708409,0.9263555640169796,0.991297334951209,1.1545304704439545,1.318899331770327,1.3506061120697157,1.3444863279136885,1.5460207582755192,1.9064387735518256,1.6701489152890456,1.5544633907599699,1.3687146448451648,1.2545611583139578,1.150800057694167,1.3092400996326399,1.315888239216779,1.200726896768932,1.2975078693753288,1.4826830261535773,1.3616911304061101,1.3298455167197094,1.8442369468602204,1.99150580338661,1.4743226886613297,1.7572426894997302,2.199391519439786,2.075860438074497,1.6792267034055928,1.2902024541210968,1.8073637196280061,1.58924209851629,1.6200256858668185,1.5745346266100613,1.3388547004211921,1.6668632968851906,1.7880803229648488,1.3260481508650037,1.1433095064174659,0.9081269913294568,0.9864394794981352,0.9162664030891571,0.85199168245623,0.7440812133640976,1.5600120747488821,0.8717710254115354,0.867647375090432,1.1546900679810874,0.9190087019569183,1.5688663494899837,0.9372021364095676,1.0170414473719467,0.7560823252034967,1.1989174804077591,1.2382825639794106,1.4810494283527917,2.5516321527466177,3.1590900806165463],[0.8873091747889931,0.8303704717881484,0.7874291684811805,0.7724985306262893,0.8922580067646922,0.8408659444423645,0.7792701271974362,0.7714898706906071,0.8379737954249962,0.8050801209687956,0.8777691348674704,0.8220652412663242,0.8274271082362773,0.8712684229143247,0.8846416675630157,0.8439054303267364,0.8760326252952864,0.8939068862730296,0.9356405591251277,0.9415039192706715,1.0671232181606634,1.0377887272002528,1.2374798950806503,1.2954903014051964,1.271452329946873,1.0594014048044635,0.9525664017332279,0.8263241901108523,0.8362774681616559,0.7903229751878388,0.8749251961801611,0.8096582528114797,0.841448131416906,0.85011766097678,0.8366839409044062,0.8408710859989312,0.7913597005254377,0.8564505325005661,0.8203353282034043,0.9162671861183964,0.9682932379239056,0.9422823719742526,0.9915693082873335,1.1692238456891728,1.3242428832401207,1.7108597018752147,2.0587606944939862,1.4619112748935672,1.8737255414777447,2.627029994866828,1.5164702078646786,2.0162827864776887,1.181565251449478,1.0669261616297843,1.1538956848257331,1.156618557583601,1.15028831895513,0.9845903281472579,1.017118349275643,1.7573027548569156,1.1417483781224815,1.0764425648537452,1.04247011959906,1.2738677539622787,1.161363269236151,1.0220316690851106,1.1941250679948805,0.998138650764892,1.129148443685423,1.1279032248009317,1.2952749187780044,1.5852339645600786,1.2724207400515968,1.3508530119223774,1.126902059125672,1.471650612098881,0.9841675057879122,0.9210338333565561,0.8755643904364174,0.896028180513525,0.8261689487692155,0.8348602541167212,0.9628186260738704,1.2284689030642935,1.1172052006673843,0.7864143378159947,0.8150202027426763,0.8135376632203619,0.8800920484539538,0.8958428249437773,0.9133225960000936,1.1139983113494285,0.9946276774961105,0.9394515169735168,0.9138343016682897,1.0283260108547343,1.032541420953113,0.8725867758243883,0.8266556424175857,0.8510238227476555,0.8043010110695422,0.7683617578300617,0.7360112017864021,0.7984971814427988,1.091514482833261,0.8416295350048069,0.8456404493074879,0.8913496535987281,0.8087948151115721,0.7539817002564403,0.7583565852461384,0.6740942799440279,0.6822172994924315,0.7032732273039902,0.7930860358805263,0.7535000824207351,0.7995955300720754,0.8318832469334966,1.020733426699544,0.9387237567940617,1.021194239326789,0.9486868500052758,0.8964616682220993,0.8445766789593886,0.7944586670139636,0.6834576907029364,0.8534143740680901,0.717946455614731,0.7503203774704547,0.7739693175822353,0.8844857429077878,0.9805813282012764,1.1333634846730352,0.9623150108788865,0.9274912019007548,0.9356433929683566,0.970874413993693,0.8561868632636594,0.724898794522179,0.8415889672539626,0.8504372071012148,1.1114790070045457,0.8335809680555445,0.7764987326525844,0.7810835221760362,0.7594567426479423,0.7435948433497351,0.7447946979209749,0.6881448044290254,0.7402744685714039,0.7880369804942826,0.7968462572040717,0.8360156354797545,1.2599682055014925,1.0155297112060067,0.7684320806707401,0.7413535788747777,0.7356272106340864,0.7075687584171052,0.7304923028541261,0.7256074368958112,0.7418500303017086,0.7616975820225996,0.8588217966109858,0.9451486807726733,0.9584835618267683,1.280930957561759,1.7050292701617515,1.880596311983825,1.3910718042516088,1.403106074390126,0.9134243313002927,0.88505437467328,0.8047954720048159,0.7569222883393002,0.7456489683261265,0.7681051312247382,0.778536947784745,0.7976209509321202,0.7958105913669359,0.9163652662240788,0.8171126456710754,1.003753324509454,1.1345832361147676,1.1291809846746115,1.0302703220650595,0.9989869384821575,1.5971310245698371,2.754696352911645,1.5729569164234047,2.557818065347313,2.3957140844188567,2.1318266131692134,1.837263013659862,1.669372248167897,1.8355285525466372,1.3534912490826143,1.311612032547029,1.2054085577459182,0.9575683532113501,1.0267435792087962,0.8909716745796021,0.8342175457219169,0.9400522930047672,0.9927692293319509,1.122685567723701,1.1565709312301724,1.1883818191924067,1.3338726421768003,1.6627293743098057,1.6425287998268447,1.7228332998791092,2.0010709734746936,1.9972728317760253,2.1182342718658735,1.7563821561790454,1.781627205149827,1.5110970780262019,1.3445312098741629,1.4274785527643161,1.5626326865383715,2.0063158319695176,1.791946876239936,1.705015579484801,1.5596118316699061,1.5594503885173587,1.3111704869621954,1.8327590017654352,1.8861914447772425,1.4925797259859996,1.6369076347266072,2.212898855715214,2.0668114740878156,1.764043369670842,1.944237378197361,2.4825346445428753,2.140614967143575,1.9710121290566174,1.4190707240644014,1.2294154398600647,1.349303485818486,1.1174256959683444,1.1516728568395358,1.0177947281779425,1.13586522901321,1.1697653868943039,0.9766369858724905,0.8584745055008263,0.913897496518336,1.0296329623278264,1.242519926468249,1.4296490946270413,1.4364060041680902,1.4139387037826463,1.6405977763147828,1.987772201372025,1.729213846420014,1.6062157160376953,1.4030037867748313,1.2598831665847907,1.1532396159103537,1.23736833379794,1.2872905276827253,1.2029817014695063,1.2272006316074022,1.4172816490321416,1.3320651627562967,1.3016085481236201,1.7438480825052542,1.9541022172279003,1.4757929628125874,1.7118604053493123,2.105610779849236,2.0507782612649836,1.7127053652738284,1.3370390529271219,1.8386849529897096,1.6366534799695966,1.6224120992597344,1.5223195971141965,1.3270146121844788,1.6379099556426044,1.6937529238925964,1.2618894841897683,1.147853059737042,0.9957239393953148,1.0357368860513376,0.9387770608599206,0.8502465575734691,0.8129039686104037,1.6225090031569305,0.8818755543717486,0.8801186956625875,1.2225890167703828,0.8924582657264013,1.559732187734525,0.899699972621937,1.0152107199943181,0.7620997988567727,1.160118593503901,1.2365824465318427,1.485145001137996,2.5442383184286945,3.0911411414794383],[1.023953557093918,0.9466050503303898,0.9588234073860339,0.8680782012425219,0.8668732240758782,0.871635211668451,0.7849371469852328,0.7752677006789394,0.8387447821339499,0.7845585205349227,0.8591125251474147,0.8046413797980552,0.7875120935782769,0.8662629500209805,0.8844300229641089,0.8155695144747047,0.8253422866094957,0.8595120759084893,0.9271598341402639,0.8934855928516513,1.0494590064736198,1.0002395571980385,1.2238425635006343,1.2928398886746089,1.2103825728193507,1.0116671610394536,0.9000771994125238,0.7848626066389569,0.7850631089226237,0.7332500877922056,0.8568167369195608,0.7766772809687845,0.8078873612570159,0.8089833297054781,0.793472936208389,0.7878009843600826,0.7510769683771278,0.8112647368438539,0.7577329772306559,0.9141396836888119,0.923118396867033,0.8635117021558614,0.8961089856574794,1.0756151429745842,1.3144497156178638,1.7097142659072313,2.0564612097872597,1.408771597100917,1.7389350263936751,2.5311568159876066,1.4789588262611482,1.9170657394055934,1.1550504909267572,1.0529619875242753,1.197184351093682,1.0943842040517515,1.0708020064773296,0.9316143967150008,0.9429211483804542,1.6391732065113687,1.0765248623075578,1.007587906376942,1.0133366371178616,1.1976679733599218,1.0778469179476207,1.0158122010693276,1.1754346413448125,0.9702756424521726,1.1134175089378475,1.1281280500885895,1.2778975325440556,1.564593315518472,1.2690004723438755,1.3378633318388065,1.1030965797377068,1.4400905119801402,0.9204901855194488,0.8639466419182216,0.813861285677298,0.8527925982964326,0.7750078595515936,0.7990254943087427,0.8933857103277552,1.1345406973280652,1.006141963427259,0.7213455191532523,0.76454024215505,0.7373612696531812,0.813852226566231,0.8525925223119455,0.8689416494832578,1.0865675899526372,0.9741386431740631,0.9220949244168317,0.9163131100790014,1.0241862069443812,1.0576398272934584,0.8547199381196833,0.801174576521712,0.8606585889701328,0.7721887392894549,0.7466837525079043,0.7026278303021455,0.8062248543700448,1.0113467146389503,0.8784922898193276,0.949089892184275,1.020595173348791,0.9393899195180977,0.8477109879298824,0.8119590460185865,0.6871375807838627,0.6696481526707928,0.6475146627790985,0.7284470808405128,0.7046132407678323,0.7568803340508807,0.8044725819543795,1.025458565682752,0.9080096129606064,0.9933041070047784,0.8970415551938407,0.845594676710419,0.7726864216404511,0.7529089224707918,0.6276463563877877,0.8358331721885109,0.7082297108552551,0.7843187795664968,0.8255238073047292,1.042060331073358,1.1774372953235706,1.3134910991974478,1.1067036984804843,1.0331815275025646,0.8880518527666665,0.928734400878201,0.8556367204999511,0.6942552771340823,0.7277035521363103,0.76729838037992,1.04449565039201,0.798806573177366,0.7348843772705528,0.7542353316129389,0.6995714302825204,0.6856901596405051,0.6667108598600284,0.6397904488461091,0.7192556200520189,0.7676397974259187,0.7970348015330638,0.8693519164661467,1.2946942270068489,1.019211736303013,0.7708194813533081,0.7309382447084949,0.7168745320075088,0.684995791312125,0.7496431506922987,0.7003997108277592,0.6962922941243594,0.7027626254425243,0.7701968182211159,0.8923516615195255,0.8895961361538446,1.2059342655372818,1.621953610274862,1.7876253058241185,1.2541618506290666,1.2727156376583246,0.831022486966462,0.8107370967085786,0.8175483928712892,0.7581117489707955,0.7377489119747312,0.734509415767461,0.7867477353272713,0.8125797173962418,0.8537614755909889,0.8864673855403387,0.8686484749270689,1.1107058529983929,1.2762827497796139,1.2681664187898671,1.0640005246169206,1.0114039903305032,1.5477695873598574,2.4963100487834553,1.4855677304593684,2.5073905716386653,2.3327977544195124,2.198548097351214,1.9523862499029494,1.8586001145563102,2.084505391765073,1.5685900482276274,1.5662198393186977,1.4663913414272154,1.1768194881674952,1.2925239576490974,1.0707518332661308,0.9526939758047545,1.1092387249674125,1.1694970423873572,1.1434181076706442,1.173831583732926,1.284187313530837,1.3788712187311292,1.6137929715373727,1.6310526624191177,1.737823341913583,1.959183287144312,1.9405572622274827,2.1390728820052956,1.8039993216228323,1.872647618534503,1.6723986363138614,1.5145821740303385,1.6202897752329692,1.9123846141948644,2.31901128073291,2.1916835904245358,2.0373476665019714,1.9291193528429869,1.9680566770870773,1.6796389785520525,2.2394456269359884,2.2930032952402017,1.8429771274196753,2.0090683884660896,2.6105003249096157,2.4476440708606018,2.125636345429339,2.285011743388282,2.8634209383671627,2.4804577503087835,2.2592474036924637,1.7244911282265658,1.5270799538671525,1.6783718585735832,1.4135190554914219,1.412516147843681,1.304576385275315,1.297618246859703,1.3474731394573687,1.1962396801780137,1.0382616822400978,1.0466663926400754,1.1359124256749187,1.2984126342767581,1.4282322414729376,1.4347856949213356,1.4887301028734825,1.668374874031039,1.9878357702353753,1.7577767592005735,1.6883925374596749,1.522192699702909,1.4551949872166465,1.3601465179107444,1.545986892641158,1.5627554587718238,1.4015358146533057,1.5434224554949176,1.7522925523061335,1.6179826485859314,1.5948561062373137,2.132519465282178,2.322254713336404,1.7792337858962681,2.048099162553913,2.5265565692414453,2.4292906745767104,2.031361122131919,1.577947770734734,2.1285842385120057,1.7752385925923981,1.7784479312566295,1.558086998690966,1.378878137798353,1.5952265477832301,1.6532146685874842,1.2626624337500307,1.2388089732505942,1.1463392114696265,1.2098437562012812,0.9699740428388114,1.0294099091040105,0.8278788110841998,1.4580770204640265,0.9738003822811725,0.953486119100179,1.2644502706686152,0.9758967044458426,1.4512561716174506,0.9495583355033075,1.1155072495529017,0.8932253899171734,1.3452556257430692,1.4121100207661832,1.6761430913681383,2.7149567936549945,3.409536763534816],[0.9246629992150475,0.8483373371062481,0.8835258661757106,0.7550944518853889,0.7862815601982496,0.7791332335682394,0.6642638934820627,0.6471012949771221,0.6681136815062311,0.586603504660355,0.6480449408259975,0.6077031510711516,0.6057940690085007,0.6317466028146507,0.6533075571959845,0.6198229602581319,0.6568071953724068,0.6858761011882479,0.7734001575856871,0.7668655277675394,0.8931278109591696,0.9116024239443383,1.1454668972100064,1.1978714730034652,1.1706615484175507,0.9000818690741305,0.821159455923296,0.6848433572989003,0.6778375553365912,0.6055394726396985,0.6532575190036809,0.614790520102821,0.6115415860022709,0.6370862673871457,0.6371547525080783,0.6596065264079941,0.6696574002059635,0.7942678596639281,0.7769176984102123,0.9961542194804375,0.9512928501541191,0.8694950156783197,0.9322756309643688,1.1258431256730292,1.2807026189239699,1.6746161244862185,2.0493652445804615,1.416909579828752,1.7139486864409454,2.5854519320971563,1.552782135324695,1.9432472000683947,1.2033876349845802,1.1173738809216098,1.25154150714466,1.1350039862553774,1.1020641154097603,0.9445713549818207,0.9729539448422523,1.6385669314597848,1.0466837145333927,0.9328049445450027,0.9004202323453927,1.1124841141739163,0.991214565271811,0.8884758975420122,1.005546456736988,0.7859813138260423,0.9372467971071904,0.9241763377619764,1.143093718552624,1.467201480809316,1.079266811890055,1.192907303564815,0.8884920360790612,1.2198039830862977,0.7855905700545888,0.7068150421123494,0.7056679451045741,0.7732768430651296,0.8049221695901213,0.8662957477003129,0.9293646626140072,1.2477938539394946,1.076968122750868,0.7492059606089794,0.7811085259622542,0.732411647473696,0.7074106872682085,0.7196070035795504,0.6898149080262426,0.8860724396056775,0.7602425430006969,0.7030877233163096,0.6877809423915379,0.804151069103277,0.8380083868856694,0.6590757167531544,0.6048225461403133,0.681716386364373,0.633296732937427,0.6901962695182304,0.6720387421519083,0.7676714227188332,1.0691714315594285,0.9127594113449428,0.9784599790206602,1.0475337548702317,0.9477511474536502,0.8384794752546869,0.7960572483967088,0.6751537599399267,0.5795977586185083,0.5700282965190987,0.5964388076259672,0.5811976702217725,0.6304537736630544,0.6889892164673402,0.897442833848547,0.7214099202678446,0.800455990352344,0.7406235299760604,0.7034993283450073,0.6213755922519685,0.6038633061220813,0.5467261705962319,0.8015918566315836,0.6961582974799784,0.8006597243044334,0.8698538292210538,1.0763368460404787,1.2335726909524545,1.4014141068308656,1.2097101109882908,1.1159839015760096,0.9183936394556114,0.9447814942035805,0.8297035447453828,0.6560583000208422,0.720583117145608,0.7706121531654426,1.022045880028392,0.746843224563185,0.7158069024347699,0.7556831049053748,0.6651875666677497,0.6436051054342404,0.6048840301638493,0.5878024861312318,0.6172512766351248,0.6645844442364884,0.6607231592874785,0.7502166848615152,1.178431072759472,0.8843251457887041,0.639887692146563,0.5800292457035431,0.6288172539123125,0.6086491768228066,0.740742106590372,0.7102119420525195,0.6966407408931481,0.7273363176257024,0.8091147318683718,0.9779910670731535,0.950910075693958,1.321457951740203,1.7288703139066872,1.8463180382978577,1.2775943761526092,1.2917357556179927,0.8545114202196284,0.8596093120507382,0.8722168690859985,0.8055632006783179,0.7852067113767098,0.7115998905068575,0.8070478835545077,0.8754800273916421,0.9309378525536137,0.9861772371208554,0.9414419630645029,1.2208407038434075,1.3828494190693512,1.3736073281011385,1.1853167877679536,1.1115112453370044,1.7225770868618673,2.475106708612381,1.6043650125668665,2.594402810136276,2.385343374560089,2.288902809392848,2.035569824979596,1.9612261986296056,2.1833353127507893,1.620319522427102,1.5911418461800328,1.4448269523038364,1.1728655100210932,1.259597186034787,1.0429572641358038,0.9184848388638926,1.0303806925610972,1.0893562973646298,1.064206901676869,1.1229196152673546,1.1984436321748133,1.2742450239635505,1.5558162548211947,1.5907568053582357,1.6649890341592244,1.883128550035599,1.9388410739356499,2.1208291458111588,1.7895190041217968,1.7976486878593767,1.5701753441663766,1.3950330992426487,1.4914004432568022,1.7620517159786033,2.2220952077828104,2.0855531889328955,1.9251350425814682,1.8642879058797777,1.9578248020677445,1.6702673830032415,2.3157615602417683,2.3157778619465756,1.8099000030621282,2.0406397298165215,2.6505413402581044,2.4194240667173785,2.1160450656450203,2.309845962673526,2.834005002049779,2.448100604105853,2.2652876189809765,1.6858694820377458,1.5688648447726388,1.7329067014614694,1.4024216139627002,1.4401071897246551,1.3198779124926574,1.3196141915043391,1.3357004994620383,1.2076259008308097,1.0271497337014144,1.0271319769004963,1.050247597162888,1.171859479787661,1.2892573869883615,1.3141390554666947,1.3522050355798219,1.5219817058487852,1.844716022323387,1.6421998239673894,1.5577638952903052,1.4035300247826923,1.3310971882354294,1.256934358542391,1.4784115820020594,1.4427343656272735,1.2893663805698052,1.4594650418340256,1.6354777529651856,1.4811932801864762,1.4787193505628078,2.0238848775536633,2.1530346425577855,1.6071560702851548,1.9256091819310035,2.3794896667778405,2.2311731027304305,1.8040045978558743,1.3678835528320132,1.8814300250802742,1.6053903535181064,1.6566937692090702,1.5678405440067533,1.3380991462604295,1.6148096165397285,1.7561843018011234,1.3049110475828036,1.1506263054791077,0.9865966298919079,1.084061663528482,0.9426662279573575,0.9948855081767247,0.8138326372439356,1.429155057219842,0.9032722455062241,0.8804746747842594,1.0704145926753306,0.8895314892850232,1.4579649539461315,0.930300257131463,1.0142979903631937,0.8125425565316317,1.3133513192206092,1.318005607295072,1.5329188457539766,2.605459659634028,3.321841459432786],[0.9330695833926892,0.8850325239051879,0.8525963012900695,0.7825302964226979,0.7991938187920392,0.763122200467155,0.5993817260269085,0.593361806786263,0.5836966465817399,0.45296770147729243,0.495468407148396,0.49109265988218886,0.46540092858043014,0.4527262491508246,0.4969444703776554,0.48487778524470343,0.4837702538988348,0.5519768069078462,0.7013127457760772,0.6679487982466595,0.841651870146379,0.9039304867703934,1.1272790409768367,1.205683164384683,1.1012927186069406,0.8481305522772927,0.7589700365910118,0.6272601154733239,0.5823961220245244,0.4965663095000405,0.5215305248836165,0.5060270944567725,0.49266399767850066,0.514615214782338,0.5319809868580246,0.5580869840950468,0.5918699747400453,0.7586723359144076,0.7554386517125238,1.0244531094135052,0.9586310023326937,0.8011672643578024,0.8804629256073984,1.0693902784092795,1.2780051523060845,1.684135142647903,1.9910126669331278,1.3115653313664493,1.5831743524011386,2.435777335544575,1.4742473025794116,1.828707980761459,1.1767156405867538,1.1183296033797174,1.3206343768733373,1.0727724886483114,1.0321607849720649,0.9005489591673266,0.9281148452061575,1.5163330164156197,1.0503917982108668,0.9102141979778247,0.8524872167700861,0.913772894519642,0.8925309330419645,0.8975570451583117,0.8788737956126139,0.6336865765208659,0.7632251701599417,0.7340778002900581,0.9665542216741668,1.2690769126436654,0.8663227133001163,0.9993825974122514,0.7249059594940768,1.0590164617794153,0.6747361323557985,0.6107356048410895,0.6362632230227091,0.7498529884744267,0.7494702365120407,0.8517253296949587,0.8425176616677804,1.0763403030041137,0.9403289127285708,0.6847505757463062,0.7302438687214522,0.6592099549513601,0.6241622568117987,0.6301240364488543,0.5496050603463111,0.7341049734704607,0.6499157457890763,0.5514716251685173,0.5494385303546178,0.64120814815161,0.7150663532379422,0.531202922622421,0.4847254793202594,0.6088612500154127,0.519090946407474,0.6089983657003205,0.5692258089939202,0.6976359505931602,0.9459406676309892,0.8206441870951894,0.8807044037878925,0.9431797602634694,0.8620538616428607,0.7801509184772277,0.749541068545719,0.5998263488747052,0.49783649111752887,0.4602629487973622,0.4516796010665896,0.47222435452357087,0.5428634330798066,0.6287829697464493,0.8261756849082323,0.5694910095374026,0.5986920745752272,0.5376423751262196,0.5430744600890329,0.43051870877194187,0.46247339905037566,0.4452731751696008,0.7462414105026629,0.6219230015099424,0.7239329297581133,0.7644144522107049,0.9764875486141398,1.1000824395249613,1.2955970723831032,1.0914294656121164,1.0375370020224275,0.8189888637010094,0.8507659885314369,0.8140801117922323,0.6281436431865642,0.6608930882307941,0.7947242903962857,1.102978149314429,0.8018337420850976,0.7268340622408959,0.7879898971673314,0.6169498235318126,0.574973133340325,0.48324339011790507,0.48629230391930023,0.5339276077682631,0.6166313278688731,0.6044022910938177,0.7295113100721505,1.1751432250062004,0.8281808055437613,0.5710792815028715,0.4938279152558859,0.5497032015429871,0.5072657315235802,0.6502090046286099,0.6288014022512002,0.6374317540423844,0.6932976923078865,0.7312171824845308,0.8785231225824085,0.946733476885379,1.1649987631005045,1.5958107583600412,1.7256804599474114,1.1805730631095879,1.1674566910083788,0.7709665112957935,0.7533610375217993,0.8400251201156407,0.7555184470601717,0.7024228332718357,0.6169425069638397,0.7302342740482115,0.8141499513727746,0.8686967726065001,0.8802212736611603,0.8680700177608489,1.1472268609022613,1.3298091270489432,1.3633814039883576,1.156903811985884,1.1224385262527015,1.5653813431530788,2.2235186210461353,1.4870762588121682,2.435105711354543,2.252513903192781,2.199568837188782,1.9591750135547485,1.841371560998919,2.0259729356127916,1.5132521839521091,1.4371554157053243,1.2929944878958568,1.049066790432508,1.1172342287914108,0.9779138411991194,0.8918633225255714,1.0132755037863665,1.0995240059747549,1.2159515600323347,1.2871924256251432,1.3497801472027025,1.4915675875366552,1.81913280844742,1.8752222797389835,1.963491000522584,2.1754170003613376,2.227037297419837,2.4282664992614538,2.071079640129746,2.074954812159141,1.7641440128549308,1.54789833717063,1.6396505663031011,1.6379208909753915,2.175104652531449,1.8000829651008106,1.8086292941311415,1.6426442990455474,1.6355910524042037,1.4013972879915981,1.8908538922205522,1.9271102627031889,1.5505089591689138,1.7092950895820533,2.2384243109826647,2.0817482309834667,1.8240051428645794,2.006751528639197,2.5309747961108693,2.1563618301768144,2.0545740827574277,1.4908591372902935,1.3494397285312802,1.455729473449997,1.2064861095199566,1.2613193338304438,1.1561367428189016,1.2229105705252352,1.2682408102750446,1.0707977409861986,0.9534183553458787,1.001531738309483,1.13930791420492,1.3492411594106308,1.501167991537684,1.542238399409493,1.5730723845223682,1.7723289941935318,2.10619186751827,1.918020962236856,1.807038110949584,1.6023115132891306,1.4316934945276427,1.3001340978027855,1.3556600834471204,1.4344476323887287,1.361045386553927,1.327229123596748,1.4893110222821102,1.4334497435709133,1.3585073508075347,1.7597728948020699,1.9368924793582336,1.5041208190544986,1.7227070450888757,2.074199692384414,1.9988812231661766,1.6828407527198037,1.3983694881327366,1.8914791235421806,1.7510413326019663,1.8391143047241443,1.830732460897735,1.5613533873717922,1.8748683776587687,2.0155479637569185,1.4900715774579427,1.276482337039564,1.0073980684564237,1.0804236875132671,0.9697099974364334,0.9166736889273228,0.7797500436211527,1.5740041135518137,0.913259471573766,0.9508634619404931,1.119201994574524,0.8907630452916514,1.6424187259543899,0.9963600980440686,0.9318547722860163,0.7950192163232215,1.2314256103781585,1.326816979248189,1.4321867710995302,2.5764443128478756,3.180544512083201],[0.9429456052074535,0.8836832332954117,0.9611008665775106,0.8106343125667403,0.8075201974983579,0.7840785970959251,0.7186452491798252,0.6987371980593592,0.715075748616287,0.688096117054987,0.7133495408166471,0.6790480482825905,0.6828099012151473,0.7278050936018121,0.759571173939269,0.7430021462653025,0.7188050558613224,0.7878840970779749,0.8876175050558692,0.87137905742154,1.046023055988177,1.0625681271127114,1.2458392018772353,1.353581910946563,1.2394912793472543,1.0339061408871884,0.928310079865466,0.8473077353155573,0.7967929572933037,0.739892730153862,0.7985461191645209,0.7522858734450824,0.7471738258899306,0.7654063598377765,0.7888520873598587,0.7927173933251902,0.8017265090117015,0.9271506039197952,0.909551648381292,1.1312694932182124,1.075312715155428,0.9118472073139192,0.9677380877077193,1.0924273324077354,1.364944272756535,1.7267792927117753,2.010081267892743,1.3548803868470751,1.5666113603848548,2.3657903951445953,1.4694644275855389,1.8459663222830096,1.2463032469423072,1.2097931554260744,1.4296253591579062,1.1474286582707873,1.0969192072793774,0.994952457259021,1.012313239347361,1.5374549789775693,1.1608122515869592,1.0535431182325121,1.0293124962138585,1.07812793947715,1.0202156813067917,1.08223934937541,1.079744974889638,0.8573091144131267,0.9514501779607435,0.9503376849127261,1.1291334545315144,1.4349660110557594,1.0806000213627576,1.1120828640747298,0.9730786537397146,1.254002179502754,0.8672496266346057,0.8240581214589179,0.844122136799381,0.928067235976881,0.8908861602773115,0.9949704293819271,0.9938063138347237,1.052203665581346,0.976430330379145,0.8583508731806264,0.8948670977317859,0.828296402696151,0.8280043428157504,0.8248409270152999,0.7968691211660661,0.9723611327900108,0.9178935758657535,0.8201843167754159,0.8222681739887026,0.8823905758063492,0.9500786009600862,0.7604787792300298,0.7152657521367233,0.776704015975356,0.7075789917169176,0.7448934458447999,0.728342933497495,0.7995501682894142,0.9083434030474478,0.9384780244887457,1.0466376428523694,1.1004487739440931,1.0113356854927873,0.9502111430839925,0.8317878454451423,0.7853470363427935,0.6876594650703429,0.691871104232914,0.6846119207806256,0.7319336435150017,0.7839692513550487,0.8685285955722291,1.0173226837917662,0.8029709328850045,0.8108336503318632,0.7323139130446281,0.7469117204781096,0.6664965457777323,0.6589578935393484,0.699411770741113,0.7606720804741534,0.7524932503750372,0.8506002562861084,0.9069549480935208,1.168859105780014,1.3057055628498277,1.4765059071177173,1.2486982520023449,1.207597246390537,0.8847786340883976,0.878854922430192,1.0364857877915414,0.8848448400297888,0.8489054755672306,0.9818560074783667,1.2556074820118945,0.9910084330394341,0.9327058717583468,0.9778013714521131,0.8274733717240761,0.798005965555667,0.7049690921506473,0.6831286329846862,0.6889471579691804,0.7441707782456749,0.7098036655368475,0.8211958000745068,1.254236413132745,0.9774512317061245,0.7151983150651718,0.6728521847411693,0.7087751718532145,0.7108181309076599,0.7913369137095666,0.8355599420190407,0.8217179877978635,0.869232022813835,0.850842277747264,0.9430420176019073,1.0352288604421542,1.1601163471987443,1.5923204807987967,1.6912163816798853,1.1834191786549457,1.1271226982545854,0.8877398191895854,0.8556079664316364,1.0263212822883863,0.9483222966552535,0.888911301782839,0.805750411606078,0.9258573460619288,0.9887630737507638,1.0543063756822586,0.9673384055997534,1.047576757766093,1.317580216143341,1.4945894470781367,1.5388828247759077,1.2802328582603517,1.2187119724490323,1.5420682051487242,2.160454214283006,1.5113369879124317,2.4560559039399985,2.3071932577682333,2.2632821892451527,2.063271743555947,1.988185645392655,2.2008350608363343,1.7400604541735425,1.6766239715548343,1.5565532008676586,1.2511609588474295,1.2979620488333794,1.0277044992499047,0.9170412224177678,1.0628356057973238,1.0750067862227324,0.9891098601270435,0.9994541493126123,1.1426925195802284,1.2184953406575803,1.4434990961239451,1.46672726717936,1.5891988208901036,1.8250845882875875,1.8245376834294884,2.021078518756686,1.6427372926941595,1.7418873296473354,1.5188896938555707,1.361788578940709,1.4691144635636064,1.7622057211171216,2.1199167817259528,2.011433479497958,1.8470395537899598,1.7963965337401477,1.8578279276315797,1.6074323772924959,2.1715603792971585,2.201842782223939,1.808649990108707,1.999374951690531,2.57864390389335,2.4585863489716857,2.1548430181827274,2.2959560390264446,2.874393545704849,2.511516164378879,2.3373961941488908,1.781090925003974,1.5833653427793493,1.7094504066306986,1.3720367759555194,1.368852202569933,1.2319626479471875,1.2704372863939004,1.3104343165001373,1.1250041416405305,0.9801705213564679,0.9988171348358985,0.9997026625586534,1.1426389329010933,1.2657382518034261,1.2711114704353115,1.3279219220811602,1.5266623841830376,1.8467487508918758,1.6239647281025675,1.5605825592125846,1.3799996591243422,1.306758002151305,1.217702195022004,1.412578757385043,1.4129423434539443,1.2616908988438806,1.4400839893813988,1.6307016918222592,1.4917888908977233,1.5323323829927216,2.029008773819824,2.227604555602969,1.718996522035232,2.032912042759496,2.447520291255109,2.3432631306429292,1.9998246779110762,1.5276170817088461,2.02770083970846,1.690627373542936,1.649579401985136,1.3951318057280941,1.2084069805517486,1.4046170770822068,1.4497693140072747,1.0763742563601142,1.1543061449432572,1.2075064796676935,1.2068135320141022,0.8756545940896884,1.0913760267089119,0.8139063850676477,1.232359082322774,1.003702502678907,0.895206956028376,1.3417914805884534,1.0554612279728781,1.26255296039061,0.9001567172489519,1.2821222137526491,0.882091831462383,1.333627025969978,1.3340693752850763,1.6599922544805645,2.6927934629459527,3.4046894029200088],[1.1562390189609453,1.0832864681984073,1.19519355220262,0.9041919805882147,0.8986363121699537,0.8833442008618551,0.7885425537004358,0.7912695703468554,0.7290405200795971,0.6694177698693246,0.6656075672564677,0.6900906804224587,0.6681477671033351,0.6476787114306843,0.6862610302402427,0.696102341610382,0.6281719121861558,0.6852172706010424,0.7821354459448816,0.7469934122987245,0.8808329603494459,0.9364610220481642,1.1301121423989473,1.1793228430691358,1.1112269071464642,0.8729694562468429,0.8263090982138853,0.76853200918502,0.7414615040353747,0.7157978278716156,0.7227616329542091,0.7341540278326509,0.7039448865786494,0.7014672723189792,0.7418598766344503,0.7394693949585031,0.8282040065438918,0.9389276323167535,0.9415821080340693,1.2406430310889336,1.067306965050939,0.8750925412134052,0.9697342114689752,1.1208287070260572,1.2831605378951918,1.6815480282751918,1.99603248241376,1.337791963015022,1.607190577755881,2.4961551393108046,1.5606851152212784,1.8872134618699166,1.3208404171420374,1.2530176286194143,1.5064481466321766,1.180670291507883,1.098058021207014,1.0163452925220926,1.0397137834942,1.5160655897708728,1.0957356520062806,0.959560655937386,0.9204256588663344,0.9053209278867013,0.9028130043160619,0.9795691141824292,0.897480760648673,0.7064543124210221,0.7975489422018557,0.7895792019928424,0.9697274226850233,1.2888850158767216,0.9024820688531838,0.99152634812831,0.790069201574348,1.1033759264142977,0.7464290362336403,0.7284963738762041,0.784582092181863,0.9066504008191081,0.9541693102828155,1.097890625659606,1.089964722952866,1.25188561671997,1.1101233451243566,0.9474938547881128,0.9113408274177375,0.8689710885677948,0.7781179626092296,0.7952183469116004,0.6921178518345068,0.8503909276220738,0.8128150497239474,0.7243111433217707,0.7414595028921893,0.7824717877346024,0.8806929411083908,0.7240175488839937,0.7024616932833938,0.8424130146879784,0.7472385650914137,0.8910608628709007,0.8643678140098561,0.961205490386817,1.109543811593076,1.1652799502004099,1.3177354902256873,1.360406273281549,1.270757416690845,1.1807685267143375,1.0319734827675289,0.9658801271519409,0.798501400693107,0.7288048063141648,0.6472200084981433,0.6794069472679356,0.725264912056925,0.754270355578549,0.8887320535679483,0.6710624000913954,0.6549858427461921,0.6087223112875845,0.6415086372519068,0.5601675658349945,0.6326401494508779,0.7277640710853939,0.8364710665644317,0.9088993591089674,1.052959351094016,1.1526672812131493,1.4146102466698238,1.5995526446189232,1.7501697968670884,1.5401850748246426,1.4452617797087184,1.068427371902171,1.0357374178554977,1.0903176866005206,0.8567648879625449,0.8592032234927798,0.906745264972945,1.1606045525148647,0.9152532438024337,0.8999840479973338,0.9633995376536202,0.8239689700915561,0.8014522502706892,0.7309253883324632,0.7813366565115062,0.7709624353058545,0.8466505878648821,0.7960365745615141,0.9665515706771983,1.3405839430752209,1.0357482274374008,0.8025646723327934,0.754817000846516,0.8223199610330454,0.8127410022278028,0.9559509334209876,0.9385678535066773,0.8918872867201745,0.923592185952056,0.9373159222701386,1.0719872282259348,1.1229916508352211,1.3704958694508793,1.771821527821047,1.8752024377086267,1.31985742052902,1.2749622366090023,0.9929781888996018,0.9959405941993079,1.155632874904899,1.0694466114297332,1.0268636306354655,0.8735596812205271,1.0431260291131497,1.1349873141067683,1.2294788050662082,1.1690071977614243,1.2517685198144712,1.5473939550019862,1.708498040902184,1.706703760186474,1.4412967788228013,1.3540604728558963,1.7995733105828104,2.183203249531365,1.6996440931514976,2.5591858881234715,2.3846175136055296,2.396361629292027,2.2204892898357635,2.2185197921242907,2.463496950903313,1.9675910349479035,1.9628241262242572,1.8452774021253895,1.5402785980314335,1.6358282600371628,1.3350843741952274,1.1782329659336275,1.332440691343031,1.349328606119804,1.1034997256058816,1.0962275578729834,1.2897068634491016,1.2880026210769724,1.3668203521558004,1.4292112943843547,1.5571929765565335,1.6966275477930206,1.7215410556958661,1.9637702194832816,1.6466042715322007,1.7623776090010528,1.618008172447269,1.5102934328933395,1.6244376010553736,2.0634470521886934,2.3926728136607265,2.382246586658792,2.1841326969633426,2.1900424078371143,2.307352356734115,2.029851397134962,2.6464950808796623,2.6500750476174053,2.194896861798843,2.4245413399705895,3.0184261975020616,2.8502234186193323,2.5247465715859847,2.650990264719624,3.2303286968535976,2.839267443543273,2.613239047219922,2.0959078597840346,1.93860198511315,2.1167228361799033,1.7624240896874641,1.7322867655175418,1.6314440531049939,1.5458098806928513,1.5676534803848603,1.503986168077495,1.3098879532369891,1.2728354917392446,1.2201195552531057,1.2427727298206874,1.2467102673206851,1.2633087132542784,1.3967317182237695,1.4932630907959978,1.7352087346547727,1.5886540892266987,1.5997063955545392,1.4960292930731824,1.5340089313689123,1.480208751059832,1.778052866770382,1.7112718098402493,1.498545864411255,1.7921568744427563,1.9732011813289092,1.7804425055768096,1.8441017352336833,2.398768979260462,2.542712308055004,1.9797803175502051,2.334001629880848,2.7807101449536424,2.6242681049687238,2.21949533392463,1.7012889150769885,2.1835795688582627,1.7501665515293006,1.724028679683836,1.4218567060756957,1.2725598099688842,1.371333575765186,1.44277957871503,1.1351083680948078,1.23284389774822,1.3263786010145748,1.4023456578901963,1.0493949493038746,1.346580002414098,1.015548310063494,1.1298082968978798,1.1684119185675428,1.058067213963421,1.3893471537532562,1.2601629349857564,1.1912960494006932,1.0355505750068086,1.4666588707225707,1.1107668798230745,1.601864586404388,1.5382302856343681,1.9049261590294027,2.843243226976497,3.741214267239314],[0.9163778049497738,0.8734663157517532,1.0478020000232906,0.7873385848202936,0.8729695309137545,0.797688033715537,0.7298235786165793,0.7498846457521245,0.6738548247210105,0.6475808297864982,0.6378281905420924,0.6774800518668197,0.7236674975420792,0.6537711956684943,0.7093519950117367,0.7756432291533737,0.7576444976856052,0.8345624559295777,0.9604558100956111,0.9454275927742719,1.0442650414974382,1.1561139556538407,1.313087196158461,1.3394742725007958,1.25706105342971,1.053743473056185,1.0389325297917524,0.9608378535619145,0.919461860150283,0.8651338763083662,0.8151377283246477,0.8339961454721257,0.7816794147113875,0.8354917223213002,0.8824619733291887,0.9152957692805909,1.0050996073524834,1.150069838977291,1.1888348692375996,1.497032961499484,1.323132325360402,1.123531509039448,1.2463476589954467,1.3795718395156216,1.4943634246343576,1.8561660368757447,2.108813179611949,1.5078153405660166,1.7176836403526425,2.5739611645729052,1.7665909063446077,1.9985205993489046,1.5641128776460773,1.4939765190687082,1.7421795210919715,1.436153175502009,1.3454129108694914,1.2747233615350648,1.300237259043575,1.6512815448187501,1.3325515445029021,1.19565783669392,1.1328848030670182,1.0270468021810137,1.0928313167019503,1.1782284255135802,1.004134868671413,0.8565381990853714,0.9172494908090429,0.8384481772703459,1.0307804215965233,1.3001179643822258,0.9236370640852185,1.088955653304216,0.858396159919087,1.1485739399063843,0.9237452841048022,0.9158235908347654,0.9960746472225432,1.1354935949234086,1.1761266079569483,1.337256354241113,1.263955786293335,1.433190441523659,1.294629724744895,1.1625514278595066,1.1384850876577486,1.0760296434893133,0.9835076846305251,0.9759836256536856,0.8373326493684214,0.9251686641903779,0.8739858811540054,0.7753682779494372,0.7769634281283967,0.764646365501125,0.8507308910919291,0.7471666953652057,0.7034240153862912,0.8171177467045542,0.8001884365572677,0.9361299796574561,0.9896243214494863,1.0504220937214042,1.2487903617243936,1.2509686873526757,1.3757892469384225,1.4186498009382518,1.2952397617341262,1.1991016443693183,1.0448505002267932,1.0337092019638259,0.8356128044013488,0.8162499797548274,0.7422415635375502,0.811600334309358,0.8902260305588328,0.9167498954573157,1.0140878309263097,0.8058962853135779,0.7595503662314951,0.6991540739609555,0.7440526696275929,0.6339962810789396,0.6560032772421655,0.8073323156283705,0.8590738006846842,0.9788101437425448,1.1143438927553395,1.2503022685269911,1.4985901636001246,1.6793376609769053,1.8792208423969226,1.672359414711818,1.5971163267545223,1.2323990006357213,1.181248278674794,1.2294633128238033,1.0102068239275677,1.0721484696260652,1.1446813590689406,1.3877413765986149,1.1492097309417717,1.1217227655225894,1.1938402410869557,1.0308434870027163,0.99332490044723,0.8669229374965153,0.8999245555460749,0.8219646318395285,0.8472502935904797,0.755027253692226,0.926361513932383,1.2427489080765004,0.9221815780968726,0.7810629151821961,0.7782114006039371,0.855467135756168,0.9075966995782653,1.0541439888032782,1.095717770319642,1.0866913956186341,1.1511836551814327,1.1644335918613926,1.2857562460787972,1.3529941811442694,1.5245063179397251,1.8786571590699481,1.9472844054140783,1.4455949762879827,1.3974003414489011,1.1855057310559358,1.1903715048249532,1.342073810152249,1.253737373427925,1.1847408852254022,1.038339319108932,1.1931375057041924,1.3187918584606368,1.39693932561924,1.3547840716044204,1.3962655032196765,1.71038182940051,1.8802855313120175,1.9015222869776633,1.676240104563413,1.6054603982577007,2.010124331931921,2.1507563328307224,1.8817840643045989,2.679830352139077,2.5255268872077736,2.5520367607678653,2.3793289274225993,2.361146692050258,2.5668085808658527,2.066358182953318,2.015684573577741,1.83657809148725,1.5260603313001009,1.5679379178240749,1.2830300902282399,1.1372554239192716,1.238714806890155,1.2524790680465787,1.0853775809191863,1.092778781393029,1.2379256264241236,1.2941339245834333,1.4860192948586937,1.5642936800129559,1.6762938480181777,1.8417285717113783,1.914652820667967,2.169242395441452,1.8148860105769804,1.8590404659485846,1.6124369261028721,1.4438433776984811,1.556422057148041,1.8325412512223682,2.2641234925449454,2.111158827374979,1.9957582379044057,1.9991810747425893,2.1219196331495875,1.8919080203468703,2.501354696622593,2.4705846806118212,2.047929373727583,2.3157331127292795,2.8851366775509657,2.7052318063922103,2.4399670287993254,2.610411022174257,3.1411496597900066,2.75412553993122,2.63430659000909,2.039494332767305,1.9359438269885543,2.0766595958170293,1.6782074767132789,1.691348510467451,1.5458147161315907,1.520293633012178,1.5370101018922282,1.3989919955099912,1.2247761040388856,1.2087645432109797,1.1611727207461446,1.2172863795049804,1.2560859203708565,1.2876191147617284,1.3946886077117402,1.5234237001689377,1.8098374376293347,1.6554493059388817,1.6172992831383015,1.4695131197290254,1.4380990660431532,1.379313022276383,1.626328115972876,1.5505683816846028,1.3925244834378139,1.6341653729912513,1.7688797371755913,1.5919029218202123,1.6786853023492236,2.1894766557058816,2.2830801602176374,1.7719949798248429,2.1712420815638778,2.559272903251027,2.3623612832325542,1.9817723432315895,1.4845771917384127,1.9642766632644364,1.6140832498538664,1.6958581471774898,1.5540921143317052,1.3117831414767034,1.5455015000544503,1.6953145764182727,1.215358671392649,1.1328629188394679,1.1797038517224852,1.2740779800111897,1.0385622912798593,1.3266362404986722,1.037875623361968,1.2151769583746523,1.0959720436087244,0.9930171370572138,1.1910283810708286,1.0793297778980755,1.3113496972485392,0.9673754416115165,1.207157198264894,0.9231696159679279,1.4122677456255737,1.3896036241404097,1.644766904938036,2.700936093581389,3.557940192051627],[0.8785966695664813,0.8208178301166358,0.9386816509539341,0.7511958548763156,0.7760929111817872,0.720654718470202,0.6249672808229307,0.6232255818694636,0.5701982239365246,0.5206104242353962,0.512839860941601,0.5342295442154117,0.5669984608363536,0.527147549917302,0.5752059369186144,0.6247358628421423,0.5900199537538945,0.6760782199655843,0.833609435882686,0.785213406532183,0.9136883951168094,1.0045396773170814,1.1861627738045584,1.2354650653935024,1.1661640493421785,0.9315986800116679,0.9085485099347843,0.8236135637902371,0.7650747167869959,0.6965821457819795,0.6744458730250293,0.6778376821480686,0.6298914351464914,0.6690227598938567,0.7178944696236771,0.7389221585246816,0.8137864005468318,0.978075426880666,1.0095734459666585,1.2882151236925592,1.14238604518881,0.9662683707233152,1.0768787881891941,1.190614696075833,1.3593098278844717,1.7149344108088878,1.9529511454531865,1.3231932789677452,1.6110795329759653,2.4454886405484384,1.53469815637167,1.810677940635442,1.3720161547970617,1.3286069432334704,1.5770772841614313,1.2356210940042582,1.1511027013353028,1.0952913433856932,1.1181014519936032,1.5078684129324011,1.1891990402377002,1.0273920560936676,0.9764180932576333,0.920749093237375,0.970587824854852,1.0278404572585933,0.8928299577728424,0.7054939882265553,0.7795631441477779,0.725445373271439,0.9173403276136239,1.1882946792891296,0.8192970021790876,0.9392426922380438,0.7588045421871596,1.0310948828336937,0.7628740143993744,0.7420235331334111,0.8070217550357452,0.9464062111047941,0.9807466150989079,1.127241737941827,1.0964916116692214,1.1936652920232984,1.0842108629674987,0.953510151232843,0.960656541232343,0.8778649954286101,0.7974734705868226,0.8000146091106475,0.6710198421124005,0.7931021406356529,0.7573074101171159,0.6462705289648485,0.6506303026319926,0.6633731282035666,0.7460305425838936,0.6087933399684166,0.5673177932367799,0.7000531396353298,0.6395825267260146,0.7344569992969358,0.7714234298393285,0.8491211513319317,0.9744952695324329,1.0572828852611438,1.1634635911233944,1.1955877029031128,1.0903676810541618,1.0130566101516332,0.8737765713267976,0.8480830472721229,0.6670644487579568,0.6627754561382149,0.5874165929255712,0.681186562941586,0.7693961290616804,0.8238230573051002,0.9428626618192323,0.6768378192903082,0.6370820216475491,0.5541063113439406,0.6181132209062478,0.4972719680340564,0.5245531407811802,0.6686757101056882,0.7117826144502221,0.8024549704189304,0.9298620705984293,1.0239892345604147,1.3022337759424676,1.4441069263898707,1.6371747334312874,1.402502423118419,1.3654023844359686,0.9997953240133798,0.9493021829547611,1.0907105335292273,0.9168788958038232,0.9295668205583149,1.0604598441935762,1.3072883635100387,1.0358113780416518,0.9909822738342366,1.0436202633589395,0.867631707738212,0.8358552593173328,0.6957216339154593,0.7013131126115778,0.6564490865536866,0.7068057226907133,0.6319593602271719,0.8026268567343525,1.203385759939152,0.8712788363676234,0.6500796956949523,0.6179600098495128,0.6844655663742606,0.7176024137039344,0.8478501910951396,0.9075117570056864,0.8907619940542323,0.9646792464723329,0.9452270729783321,1.0481327127309177,1.1295564144497352,1.2960195484070618,1.7360047392410154,1.8266397614156826,1.3055245992793585,1.1984514942513815,0.9683215507712231,0.9437880291607884,1.1372217472418809,1.046574672030139,0.9802961814918142,0.8386700895581867,1.01929010294848,1.095616750505395,1.1948003488959824,1.122457567069424,1.1815703057851117,1.468640388413357,1.6529866770530162,1.7004431885823241,1.4604003884936987,1.3771783542316935,1.7167778836901155,2.0192230220249927,1.6676826006925312,2.447264813749906,2.277272456726726,2.317251581941795,2.161535257545213,2.107303664633925,2.303759188068381,1.864518253379432,1.790213536425206,1.644453669536313,1.3429397719864107,1.3595677517685172,1.0921204993683082,0.9763761950474189,1.1031424045846216,1.118782637893205,1.0323205163055895,1.037320664241571,1.1837111154612958,1.2902449921956856,1.519617485400469,1.5793356134426808,1.7120597859251574,1.9184338484511743,1.954723863696033,2.201596227446043,1.8071718296171748,1.8602651227180818,1.5653882511818338,1.3937996912060737,1.5056591639092496,1.70253751429891,2.1090110317345956,1.9260120110056467,1.8365334356651248,1.779203482716005,1.8415881817576962,1.6386486217386327,2.1626868774077095,2.1689733834737863,1.8221314284455483,2.025570866044372,2.5655349736946285,2.455156184338243,2.197751015153212,2.3474869303035124,2.8904475825008733,2.5364711267648334,2.4375631544211576,1.8473577681391364,1.6770917195347292,1.781600754077642,1.4295505138987161,1.421847544589028,1.2993664793490332,1.3165375787092553,1.3664785467452478,1.1912701869888627,1.0386992213822277,1.0520066970174269,1.062916223884661,1.2075851489069134,1.311454967913386,1.3287176572018156,1.4074466378151858,1.5962645462002885,1.907084283529615,1.7167920628144693,1.6503452419402618,1.4559075598220683,1.3550689757726575,1.2693234668089537,1.4306160201924165,1.4273542994716897,1.2971148833767274,1.4535734451687259,1.608544289795694,1.4771863821831024,1.5345090884334707,1.998740188727894,2.153297585479578,1.6927988754112506,2.0374313131251856,2.402884208343223,2.2763064437275635,1.960610088502288,1.4943712455493645,1.955314307075,1.6359274912440636,1.6515923432069277,1.4865277915421082,1.2665939286038508,1.508163138590549,1.5926699259715544,1.1179971700420168,1.1212288959376704,1.214901944660081,1.2325676847369196,0.8923582050467359,1.1740760881366314,0.8657905381504645,1.1766390233319468,0.9921066272983095,0.8999879747920865,1.199642885614384,1.0071175783293993,1.2923349732037357,0.9047772762777259,1.1591522392381357,0.8386770563896607,1.3188553747235199,1.3526907878142818,1.5961678577957092,2.720917979989072,3.5089934801820535],[1.4051127190814818,1.3086780434914953,1.2252154815611338,1.163972623098119,1.0846912551468864,1.1214311824967667,0.9982227293003358,1.0085425685111162,1.0111723512733626,0.9255500184558293,0.9580964755802245,0.9446039248461359,0.8727021674891623,0.9222136405872561,0.9351691482624749,0.8989715854740755,0.8589715481322958,0.8976116340118742,0.987977536070711,0.909183679793741,1.0526967046879696,1.0637430784621347,1.249398423055121,1.3058520952347967,1.2406745956485192,1.0440114491000752,0.975782093836801,0.9229521242740248,0.9037803417888667,0.8655394548281954,0.941298818287004,0.9002050835272427,0.9100605880177838,0.8882414653220365,0.901937579328578,0.8874336442236409,0.9008139121349006,0.9635171061466639,0.9752435584286515,1.1672101911973853,1.0759730168746358,0.9810505320293335,1.0409779882817976,1.1000989707710125,1.3383482212237021,1.6844551481213952,1.914899449404419,1.2769415424708663,1.5974624004946965,2.4559341948349442,1.4088579721994556,1.7415111948123851,1.2664649119824718,1.238617538618002,1.481736267941382,1.1485740198851755,1.09260696123839,1.0578028178895462,1.0637207888125948,1.4745914766046302,1.1925876255852765,1.0838594192890854,1.0608988777281285,1.0723825670231162,1.0921173982056402,1.1090808255179956,1.080424015872352,0.9361893065331192,1.0406313182556555,1.042424657581206,1.1674694546292885,1.4252789916023325,1.1486203049170922,1.1722179547312541,1.0589169084229026,1.289527115202429,0.9286432090211922,0.9217030618869273,0.9115225059430402,0.9798540080815917,0.9645589196470225,1.0479098306870116,1.1282467319764442,1.1498248879195712,1.0309063611087774,0.9387681498760063,0.974355248770939,0.9048130148783379,0.8994218853667829,0.9322070260049744,0.8976724636766211,1.0598193049781308,1.0542212008584562,0.975638493256516,0.9849863339453176,1.0406942051531596,1.100324279575793,0.9518070775904236,0.9436834830581371,1.0563541843144904,0.9540883358034746,0.9856453360613575,0.9164377307642947,1.0383232536829856,1.0628626764609261,1.1689224189462455,1.235413945813507,1.1978565310951899,1.1871819224169748,1.1395022030453215,1.0787533648331593,0.9643201675828533,0.9017415902189774,0.8316554666389482,0.8149276052638663,0.8408620660045106,0.9083655592148854,0.9735911989042829,1.1085980288508,0.9116889457574016,0.9243734476030858,0.8660697789392554,0.8923801773140175,0.8165714280637573,0.8614454066802317,0.8286459876750473,1.0132609202825507,0.9265868922992493,1.0378990450403875,1.0630962140737263,1.2810315576950686,1.4050573010109773,1.5239214221769775,1.3182585767833608,1.2581200905857297,0.9757219766515662,0.9490642849704627,1.0249864791979855,0.928181014973502,0.9040633935635981,1.055156440661828,1.2818291417989178,1.0466450580848405,0.992208596070466,1.0133669823158533,0.9127759997970333,0.9027748265647387,0.8458436778946713,0.8490898684003555,0.9298052790184052,1.0190617945900282,1.0247893116005324,1.1506403284413698,1.5623561860028843,1.2415723947342263,1.012175764693223,0.9474052008499885,0.9681311239369346,0.890397123691271,0.9644984926184305,0.9307536146174172,0.9190548969910167,0.9248541286390835,0.8802792853437051,0.9391786820514837,0.9796763152632242,1.2434722112323142,1.7213764315570381,1.872249728869232,1.3083915386370943,1.210178615253975,0.8806428997377608,0.8587705966834887,1.0431987406007421,1.0047757429391306,1.0073476502229588,0.9113503438834576,1.0698830245163535,1.042218925763143,1.167792763089704,1.0601941138587345,1.137925073681381,1.3441211235003603,1.495960777141877,1.5357278271443555,1.3057052591654428,1.2075202269490346,1.539341529033816,2.03283959393841,1.5565627950982133,2.2418102153597532,2.0340321834719424,2.107540603517155,1.9810807227950036,1.935126779048472,2.1413109483952995,1.7454640033358175,1.711028467199658,1.6302093622427778,1.4239197886066233,1.4889954205167675,1.3517369561240653,1.2538604424636572,1.3789892684934428,1.4737040050369206,1.471570435562476,1.4317095054857307,1.5946284503269774,1.7620890095595096,1.9278093294248708,1.9786002110872034,2.1474199522537067,2.321494368471417,2.2870030172193627,2.5811352622202537,2.167758873619838,2.292936721575096,1.9689280009186862,1.8146632717332254,1.9509872052192059,2.0834175095173517,2.5940001181141126,2.2631471335621476,2.2351380503473055,2.0716560141742955,2.0663819922935556,1.8300599565108595,2.232264712170461,2.3291881431612738,1.9589522251258922,2.0744738965228198,2.541391599872714,2.4710893701688965,2.202579933283802,2.315739755691247,2.8679801378717493,2.5083070318538074,2.3462173481613906,1.8529598762633892,1.6678223010424986,1.7764185070219642,1.588958408864998,1.5766415311790145,1.5834290853123898,1.5363887344890592,1.6298031330974583,1.5082703337136105,1.4079564165820955,1.396839907873516,1.5116662965121261,1.721074807578251,1.8263259981266453,1.813283686548415,1.9107985998995618,2.1105339496848234,2.373706896865465,2.202795104749841,2.1592304463341923,1.9465727557693595,1.824381616673227,1.7002758039239974,1.7827967228788817,1.868265979501133,1.714393097466941,1.7486499018584596,1.9359440576632387,1.8383196929522458,1.7847942138409956,2.215098863960108,2.444484873078021,1.9686120727665846,2.1632566357910306,2.5681981957813362,2.5174644844129386,2.1971863233305675,1.8069773345539213,2.237542716314436,1.9225523874553805,2.0197767204807726,1.7731244262795398,1.6316238747530316,1.783960757341135,1.7453064557460363,1.4230677185486098,1.4158145186072084,1.4669896118768968,1.4870467368995515,1.1612424537707176,1.3030058091514352,1.0638441294287615,1.5143296021899186,1.307656287197347,1.3182285634294966,1.5703406145573564,1.384571664605935,1.645050942434294,1.3882217715977483,1.4559599687820937,1.258430217388639,1.6556692904107082,1.9041156995015014,2.1064030246243326,3.167447990032622,3.9222785592153837],[1.090046539177292,1.095850409635406,1.2377495793757025,1.0281786653640512,1.1017928197126792,1.0184769899547865,0.879455757721902,0.9284452065821835,0.7969174577259506,0.6779317072681953,0.6525073230264676,0.7439873519209125,0.7617312857752561,0.631870251043004,0.6743817418484407,0.750884355950929,0.7261489507045562,0.7403575436911917,0.8362575862310723,0.8414307346063322,0.8854917104587415,0.9779880789286708,1.2014569415438312,1.2219517250765697,1.221675199677634,0.9260695289402334,0.9471489285798806,0.8724192474800382,0.8741793745094556,0.8616863258971488,0.7527124317562128,0.8454091964133047,0.8086175711299775,0.8376093686217806,0.8764233257546934,0.87457677928482,1.0144722237633408,1.0981707778123284,1.1282390094791896,1.3864909305937165,1.2279767846794718,1.066697922239193,1.1985774837491288,1.3116360448877917,1.3161651828689878,1.7133188843741707,1.988225323070817,1.4602133884897195,1.838353909302882,2.7260283666876015,1.7282109823873062,1.9988977482241923,1.558974520225773,1.477692311893641,1.716441893478364,1.4319894494362275,1.3205588548212674,1.2641630437864344,1.2722100672946473,1.618069390578033,1.258351930161722,1.0836444017457794,1.0630985552202847,0.9608328118333107,1.0198468245694527,1.0507046430160814,0.8830304865270667,0.7565006891768306,0.7973033397040974,0.7509241892710363,0.9492463845707669,1.157828132739921,0.8062411352543174,0.95853720349452,0.7424999410987797,1.0085109997620965,0.8773056224518108,0.8557674012092439,0.9452194656093834,1.0634460863840371,1.1897604272709563,1.3101993198779096,1.3584837471995392,1.5465639870821453,1.3562225116206161,1.1852684649739693,1.1321853917588405,1.074795491831748,0.9325844626543808,0.9644666062366198,0.8066391457513146,0.8670438274750187,0.7951597236858192,0.7449262154006879,0.7323107048932574,0.7214114900279803,0.7546901521287088,0.7603333623344388,0.7724415573277703,0.9834948684656557,0.9194643551755114,1.0973951067531569,1.0672915072386973,1.2255100222418431,1.374256172089621,1.4304042752097732,1.55381096224714,1.5685427302467934,1.4849719818119902,1.375387753526825,1.2720456216139573,1.1764794605767004,0.9549644543212515,0.9069084927671891,0.7636811774284679,0.7691446627613984,0.8115399388457548,0.8264474492575878,0.9136322698190863,0.7082493388819191,0.6787498902582734,0.6037082417020487,0.6514519116323201,0.6292757355498952,0.7234997688507641,0.8681465881912278,1.0407813674620983,1.1283421821095194,1.3024786409709312,1.396043379221238,1.6050197064528162,1.7612468187145276,1.8897725241935657,1.7143761011502427,1.5960455579054886,1.281744998929503,1.3015224286577654,1.1473777431982959,0.9661073246871534,1.0346280346640178,1.0550540670101758,1.2415012789709798,1.0225007313077248,1.0245720100250468,1.0907869182174763,0.9935057030430235,0.9845558456737695,0.9293293582171809,0.9858023137277521,0.9429214650134834,1.0621543569534753,0.9567037707452395,1.0909063460476274,1.367664472237431,1.0469699484997228,0.9854736610432037,0.9119484017246646,1.037914491811745,0.971076083007464,1.169150312201598,1.152178152082397,1.0990658060669851,1.114514500609533,1.1628444943606886,1.3315746540774644,1.255864247949264,1.634363472924396,2.035047309148913,2.172408664928874,1.6049182153193806,1.5598988819988615,1.1772611778979245,1.2137344604123685,1.310877561278097,1.267259975218936,1.2630777794825905,1.0633090846558784,1.302730640285665,1.33978117545543,1.4813788163875994,1.4270312442827036,1.4432135921046492,1.6863876581861275,1.8355584780141196,1.8244605736830442,1.606997967144261,1.4791948765114509,1.826153696512169,2.2118876475368516,1.8502072784499273,2.4335389179602984,2.266869075654451,2.388258317111938,2.2852167796152725,2.287699290470918,2.4818828447111208,2.0444194915696445,2.0488476449834074,1.9234896831704302,1.681227565169031,1.7630600004589019,1.5627418396360873,1.4349645535452311,1.5458767861710647,1.6006791550980868,1.4980252910319052,1.476789914464124,1.6268806085398642,1.715276673049039,1.8207018320648107,1.893188510606012,2.0142046628852355,2.12675678930008,2.135893181101765,2.428287652984319,2.117709379698522,2.1521153682911733,1.92204723526912,1.7942630977503717,1.904522155773479,2.112930954865997,2.6094310307004704,2.323789055323879,2.2910388805346,2.263151079798225,2.336141037579532,2.1207234234376253,2.5951809860479313,2.593362585888699,2.229435449815279,2.4026065219025057,2.88343237188748,2.7480994810616646,2.5056951573184265,2.6401750503908588,3.1209388146413715,2.765239600579485,2.6169138151481985,2.129968632384486,2.0198229669333627,2.143397206646967,1.8946998473487462,1.8801151347557499,1.8194938606705595,1.7440085800196419,1.8125995217522806,1.6870464417017563,1.5515656532385653,1.5232618834755467,1.5726411952606827,1.6735113764022405,1.7066009677334237,1.7202477574186326,1.8287106457709765,1.951918463783026,2.1654802325824796,2.0400244108401666,2.0100566343101653,1.872123909092751,1.8321303383912648,1.769985141586579,1.92698047636548,1.902491671246989,1.7711825527171594,1.912236521986573,2.0487019544651854,1.9025613884195733,1.9352366057209842,2.3927104387468554,2.502094657938966,2.030938394866046,2.3341830086934157,2.7153116272798816,2.560889153941133,2.214088140329981,1.780704090426195,2.1646561186231774,1.8000441087550487,1.9546628442750944,1.811881888268376,1.6491960408355584,1.790593300241614,1.8658321262125528,1.4851166816565975,1.449981436192281,1.464000015571454,1.582175163201768,1.3196339183076382,1.5291450982088575,1.2788596712746414,1.4930628941617259,1.31918639261148,1.3417006363565507,1.356321315990133,1.2753262779758152,1.6076007729508184,1.3336595472236974,1.2811134432826277,1.1683993808202249,1.6416810987963995,1.7451282952738978,1.9771401402016762,3.168554674676984,4.077687038341459],[0.9781885039032501,1.0031268187079767,1.2207186753883188,0.9664472797747947,1.0322507353726893,0.9496248144087962,0.8564858015692209,0.892046013317413,0.780656739756265,0.7251019622331936,0.7086140692684099,0.7763076926619943,0.823343254786736,0.7112854667808272,0.7536130456803263,0.817029355871603,0.8049881714729423,0.8132566900844967,0.8891863810660682,0.8866566294642592,0.8934425603593082,0.9642155902790138,1.1889071550451829,1.1837705542562567,1.2464191762070236,0.9351442289754057,0.9590629760190841,0.9074503386957811,0.9389305885866209,0.9225047820618836,0.818178091427133,0.9124831903818553,0.8760823959673547,0.9018290950039928,0.9278390483411915,0.9276454301976147,1.0456941261221786,1.1440961774428255,1.1380842837360243,1.3378505459333534,1.1688577632710138,1.0784629241379482,1.1857701853667932,1.263037675523548,1.2868755747613119,1.6521547393406313,1.9151517273639347,1.4072485564873511,1.8486512393574002,2.724594950540054,1.6518037033881818,1.8787482647015892,1.4627931007221007,1.4058718825908159,1.6712485769572336,1.360723099259824,1.2721004964853107,1.2611488792616457,1.2571325168784744,1.598072750222591,1.2175502228013837,1.0350337435219987,1.0576321796338621,1.0309162422760427,1.0517017067373797,1.0165684669470496,0.9262637746335198,0.8266419934460896,0.8772388506757335,0.8288512980798425,1.0350897116827869,1.2372646334094082,0.8773052201065024,1.02799355574046,0.8010097871398173,0.9934591232263041,0.9275196502383454,0.8972559601790829,0.9641150452434897,1.088655125235336,1.2057654156398456,1.2985336592621959,1.3590859562919944,1.5371428371999571,1.3558208696681566,1.1750351578578466,1.1466190764847977,1.0945152366870885,0.9625207769514031,1.0106986574320336,0.8515789233239195,0.8896707646452606,0.8516252177281717,0.8054163102017897,0.7976963531030965,0.7970444417967291,0.8224590318360809,0.8330428067462168,0.8180038088429349,0.9814855420080143,0.9255397720541303,1.054512216158644,1.079555792634586,1.1884186820222415,1.3400311630395545,1.3836143790833353,1.4818588913196995,1.4944196522670286,1.3998313699635807,1.2972561420336364,1.195319218622991,1.1276333381396617,0.9407114700486797,0.9027333317336853,0.8110379774226978,0.8156904216974289,0.8494091943688136,0.8690538678217876,0.9613277944001932,0.7704755972894777,0.7726534434332933,0.70848924372548,0.7393693158891504,0.7093391283421492,0.7611118698496326,0.8571762425318329,0.9823157299310791,1.0754296840371695,1.2070152282095068,1.3087278461744007,1.5314217850747969,1.6829055004967035,1.82354620056743,1.649651335742429,1.5340238830187798,1.2299190612251467,1.2245461391048,1.1040146984304806,0.9584310769522921,1.0332002665381443,1.064337626834266,1.1843075518326194,1.031924377769949,1.0302539271110411,1.0841738662042668,1.0136917591432912,1.002877909076476,0.9258372405908472,0.9759608826716383,0.9453396436205334,1.001948846094077,0.9104648668907764,1.0713869162997713,1.3191123299991416,0.9868282865786482,0.945890364361725,0.9119414382901455,1.0059901393281254,0.9797138800160107,1.1364299675544753,1.125514294963857,1.0958320293706005,1.1025262485620466,1.13599960271371,1.264403727327811,1.1525579432744486,1.5432689652046658,1.918473175829045,2.0574763384410524,1.5258195863800015,1.4772896221501313,1.1095684084375153,1.143373599655146,1.2694972897565777,1.2391141268456745,1.2369940862032802,1.0806130462164556,1.2924033599576052,1.3089286810812664,1.432654881637328,1.3854135474740354,1.4034574598121243,1.6259958167364028,1.7522728833245351,1.7611299910616263,1.539867686589057,1.399223329777266,1.7929459888957746,2.184925683303247,1.7810343087091167,2.3759493602561403,2.2005704498539047,2.3166991364654765,2.2188209802018477,2.2169947435468123,2.42014194807122,1.9890408417321361,1.9863369725858089,1.8713720146430013,1.6154070546627317,1.669201900066067,1.4437612966420448,1.3101291978924148,1.4065962626202737,1.4267615359548318,1.2771390763399884,1.267503846948323,1.3946968040799108,1.4222115215526048,1.559704793641009,1.6150894690368827,1.6852175864032872,1.8203650333112222,1.8872121127939911,2.110248199688145,1.8395031695902913,1.8227058780971332,1.6595920028305464,1.532339380840585,1.617946731434847,1.9127975859707456,2.211981940556898,2.160961460695388,2.0524371601469777,2.0825645677210205,2.1818915244470167,1.9841842581363585,2.4913402932318256,2.476095295399996,2.1253857993437855,2.320003321307,2.8111995000264876,2.693640781058085,2.4356768210059063,2.554514893425998,3.048476564260965,2.722687566000001,2.579937446046182,2.076046152038682,1.9523639808750197,2.076838877005874,1.7824481382451287,1.7823819747389513,1.6737860878971793,1.635887970336422,1.6705143102021442,1.5603728637977807,1.4005034826937524,1.3704548451553764,1.3531150594886867,1.3848236555459705,1.3974457450306048,1.4186398162761251,1.5130469845612868,1.5926695469545027,1.8416713391862627,1.6907872766158607,1.658135762927501,1.5570001765164472,1.5647616897298855,1.5404928696629232,1.743948255851134,1.668629347278713,1.5349437489176052,1.7597492489458213,1.8778205828457393,1.7173123719230852,1.8101650527125515,2.261677413466096,2.3528394893661604,1.8942763669279326,2.263008926556716,2.598443786153536,2.423654167501395,2.0969781431969943,1.6115261374206094,2.017735111830645,1.7170095951669284,1.7384030895059375,1.6679197685492164,1.4382205243600172,1.6440625163405527,1.8347757659677628,1.3789101510179138,1.2820488327811737,1.3152020222881853,1.4291155381192913,1.180786536374397,1.445358366712913,1.1831065716331997,1.3323997073870468,1.215998570180616,1.1607570379693264,1.2085485960819993,1.1357765906762074,1.433343096743381,1.1316894293714146,1.1943700348571957,1.0829567888191933,1.587139853168015,1.5323312472192085,1.705176042358415,2.8039879886011603,3.6921390956356244],[1.0299062994511305,1.046252781330044,1.207841770831472,1.123133812949445,1.1667824744889235,1.0809948675713927,1.0029594250225329,1.0203135756359418,0.9392706129725962,0.8905373810370755,0.8770870465306891,0.9351291737579905,0.9317292101038794,0.8647579934547185,0.8779677467817907,0.9229898658833904,0.9020223236957464,0.925910234295775,0.9665961169834297,0.9409438792460016,0.9414390435580494,1.0106670187023084,1.170127512594833,1.20426347773495,1.2101292688644532,0.9854518030630846,1.0031186644370738,0.9824187744531765,0.9963960948062721,0.9716787856185701,0.9256874089205757,0.9769703925272136,0.9567599228100073,0.977682206593637,0.9882867399354095,0.9575456402867945,1.042722992456999,1.1097532165174726,1.1083089550032998,1.269218961253935,1.1396884742523685,1.0673819277505248,1.143415864881825,1.1491980811514861,1.2817948460729425,1.5726782733694762,1.7590382973438032,1.3136847870784674,1.6790745102085292,2.4687683425772398,1.4441648670887228,1.675511763860689,1.4011785879467202,1.3664255708738096,1.6130221559176612,1.2474680273439598,1.1591115359114135,1.2053608713766786,1.1806902133430142,1.44546789211324,1.1814258425679907,1.0164046202772052,1.0470067369950233,1.1020821144146535,1.0855470269038177,1.0171529691887171,1.010768066414963,0.9353432886670574,0.9777764132044382,0.9651008112855826,1.1047478436764744,1.2137557064074513,1.0383163237024224,1.0704927442952847,0.9591917673828211,1.0829979361139999,0.9485611329338466,0.9470254368409396,0.9568262213354408,1.0546871161685873,1.1522839079875031,1.212251418644921,1.3133435765019208,1.3544507993671062,1.2419970991152762,1.1160409328635994,1.1056780140141476,1.0719105112082956,0.9685014910607282,1.0404214416272357,0.936527133362127,0.9776255289066078,0.9752213490441521,0.9466504433927334,0.9453550867115695,0.9596318615733751,0.9943757355900451,0.9511813296792119,0.9348628312421663,1.0547656356305868,0.9959211812040686,1.071230793575114,1.0726536377378713,1.1844407425055112,1.201851788750669,1.3643465089558953,1.409313549597593,1.3300897065959845,1.3085134170612691,1.2829073071674186,1.1893480816448339,1.1548139620781175,1.0341088496418527,1.0012158389615653,0.9069776301209436,0.9216023418857343,0.9534696617665219,0.9615264958065475,1.0492424604186539,0.8816349665046207,0.8896604749193935,0.8267915808764316,0.8622191245510745,0.8590589473749797,0.8986575118133964,0.9801186415744385,1.0903236408959431,1.1398396860164919,1.2357253706631557,1.261355743905819,1.4260932030311433,1.5210936637531476,1.6034773603295174,1.4417574458153355,1.3974493122563283,1.1886413568676855,1.12161898818019,1.1583025140031826,1.0466783739088021,1.0293220583081557,1.119684675372077,1.218601866112631,1.0847496750526926,1.0856646482116692,1.119407982938703,1.047772407823867,1.043658574901582,0.9862114797565477,1.0255964811402338,1.039446235460511,1.0988296015161216,1.030026799593106,1.1602808255190926,1.4518615524101328,1.1895217939682434,1.0474870933324565,1.0039834838455874,1.0652490358246212,1.0212142714082042,1.1254838254471191,1.1271778727823354,1.0911125224016474,1.089541038595464,1.0763505089742227,1.125458436137811,1.1056440837670596,1.3191878969961417,1.7616669699001677,1.9379157211317497,1.4576942367069887,1.3068015391168792,1.0413983279518035,1.0323346217170024,1.2227908383126371,1.1977931337671233,1.2071537392670113,1.090240338273256,1.3041750527947324,1.219665052893448,1.3790596582253678,1.3041417032046099,1.342695083493104,1.4896783287909192,1.6051250487888902,1.6462195899029892,1.442518941306316,1.3057166639301927,1.4855644245157802,2.0295147913067835,1.7667053420695074,2.0136342153633713,1.7939745814627803,1.9379271766877435,1.8892249147785407,1.8835421318654044,2.075993478905181,1.8019336415521376,1.7615371106279585,1.6744440832805092,1.5044559651792007,1.4808553284065098,1.3476420650033791,1.3023781994023593,1.3603216273453265,1.3739935437930921,1.3698375435044132,1.3458308479500842,1.4280326858861323,1.5526612642752466,1.7367889455505758,1.754807977954773,1.8681409075820512,2.077639112201787,2.058244153555683,2.2742421796737133,1.8895362825596917,1.91861239913859,1.6081226370705746,1.5134755486737566,1.5879061518171713,1.7342844221387124,2.0503099145191945,1.900875967463545,1.903295721198378,1.7860566154932527,1.7957996058966184,1.6469490312953194,2.0104303176635026,2.0793859275086586,1.810740644886171,1.9459452774058725,2.3479759292411466,2.331310690748702,2.108659627314435,2.158522000916514,2.652225676422848,2.376951636475914,2.2826301560327824,1.8391320468263848,1.679043363908854,1.7143797039653146,1.4926798798650036,1.5170027998249558,1.4893308596310177,1.5241934036648068,1.6188355402967884,1.3960830529930655,1.3413446626787284,1.3718487649761546,1.3866467198881107,1.5341351898581241,1.637673000586209,1.6283357639953562,1.66421493741426,1.8323968533189756,2.1093893348041584,1.9020898810988467,1.8221991355619453,1.631985138509887,1.537925043043745,1.4947330535168832,1.5529818592836464,1.554126105811996,1.4891776788246618,1.5738566440000874,1.680175912805145,1.591400849889186,1.6562175481372499,2.0187990427594142,2.2209392104079972,1.8337475175629685,2.0784688414962975,2.3707347374659182,2.3370634423946783,2.1312864317556777,1.7752120225879975,2.142646017279306,1.8547567418626254,1.727076957649759,1.552393064784515,1.446291143697811,1.6592902049525204,1.653387953242533,1.362610742102474,1.4974172726014514,1.638927587971625,1.5565440516745626,1.270659479742703,1.4226161346886868,1.2301150096289781,1.4379053092870195,1.353456675248015,1.2982206841869732,1.5567496983482947,1.4009852346590421,1.4794111991324725,1.233637999752106,1.4014300658852086,1.1563540652436217,1.533943370524605,1.6205704030400805,1.8259475785271626,2.993862297620272,3.7787877007367507],[0.8044020342901141,0.7673571924298258,0.8339383338626573,0.7375420293850861,0.8044394887719856,0.727509419694998,0.6339677443255576,0.6349939918483459,0.5875568706396342,0.49646941402712047,0.5005815705595132,0.5330649975419147,0.5381314989103291,0.47358316416947993,0.5162640603499594,0.5522637500026708,0.5467202116686807,0.5867057738041173,0.7064143807431393,0.672944921392869,0.7440009497481315,0.8084332275407742,1.0253604527344018,1.0839454772318278,1.0715041104529746,0.7887654307876517,0.7721033505141967,0.7050298755990904,0.6860919573382275,0.6219735259178789,0.57211166885428,0.6150976890126478,0.5796350640560975,0.6176988099418768,0.6418705527556842,0.6432354241675686,0.7256554754264256,0.8585420736494788,0.862241776384008,1.0594007358272177,0.9648789801673459,0.8471588198159227,0.9301226670162915,1.0136432907583253,1.2028158878638933,1.5472810154194518,1.76418529217639,1.223194921123666,1.6157925268197466,2.4235854262504453,1.3589067491696696,1.6573131625876831,1.216410589992911,1.1809573295024622,1.4266086392240998,1.0740968842372078,1.0089487361610512,0.968985414930742,0.9579369268799486,1.3816195666125282,1.0164603690630791,0.8430977858876112,0.8506553292483334,0.8697523821666312,0.8686366012349488,0.8518767338290603,0.7790008924106684,0.6244733733274457,0.7334569119734052,0.6831136194380781,0.9024565051001749,1.1398815115159227,0.7825749460120673,0.8936907090135628,0.6670764575558872,0.9193034381311694,0.6742094171936079,0.6349552915459468,0.6661571344414884,0.7928040889794602,0.8588795404713492,0.9476418092576959,0.9984092046251005,1.0705333181761723,0.9402539839602622,0.813116132344305,0.8459724937646224,0.7567675035595237,0.6715064954906936,0.7075417977576454,0.5962318410702221,0.7065979086042652,0.6670750284464926,0.5752556505021389,0.5810330668386162,0.6096812878072672,0.6913942260489336,0.5728574096913642,0.5435155246133505,0.7243887376216027,0.619370744785973,0.7148845152689108,0.696377462800632,0.7963534172758069,0.8943385511984137,0.9461148024930549,0.9973115899942687,0.9811851367807592,0.931418300615965,0.9117508785803082,0.8277066616056106,0.7553337833323642,0.6325139756978239,0.6100826886179742,0.5355477115480484,0.5802116069985177,0.6570632974297185,0.7051608978677074,0.8259538902484014,0.5689766621759891,0.5684391186796538,0.48185476007970796,0.5240873274969732,0.46291276686958416,0.5253752663715572,0.5916075066271461,0.7618291727452818,0.7194961831665461,0.8247998573354373,0.8488386153922379,1.0801387944098277,1.1732633639167809,1.3315576647833975,1.1260628998917237,1.1053342994761075,0.8133560493335515,0.7933743995587087,0.9070108138547329,0.7733924889070487,0.7677093561988082,0.9271558586022873,1.1038460860655626,0.8853294143354448,0.8495712316293771,0.8793419864206174,0.7624154904602196,0.7413194654093871,0.6348856985298192,0.6373302034211745,0.6543739463394824,0.7174979155430623,0.6459053607427104,0.7862397304620699,1.1827056571836354,0.8709510038645657,0.673784701377791,0.609497994750222,0.6681014484977369,0.6502114549824078,0.7683338491672193,0.7781312276471346,0.7753860869540051,0.8019184914563715,0.773243036191138,0.8296262349744369,0.9019766349839048,1.109064313989447,1.6130928287305142,1.775253338517762,1.2467259179572336,1.1266141976760762,0.763998911639676,0.726036382096243,0.9297672161399231,0.8789168581796155,0.8596835147651629,0.7422251326504575,0.9090180159851179,0.9157287227588856,1.0352013947103431,0.9511371089806953,1.0075217698943135,1.2107737773617049,1.3587018684015852,1.4286756265104303,1.204302503330641,1.1051005327901624,1.3845088506694738,2.0181727688412576,1.4822724034883676,2.1294632854890305,1.92919558145465,1.987232076503217,1.8459606232595998,1.7427843533115346,1.918771259695673,1.5735544918921518,1.4428682082234277,1.3358395347975487,1.1264248693944785,1.1070084069469468,0.9498159945888096,0.8877874456727802,0.9621207121080019,0.9962891811636843,1.0603623609335837,1.075622165231221,1.1406235657712362,1.2891926243220382,1.585118563657744,1.6050014156830308,1.688484419018015,1.922705106413096,1.9734396205113518,2.1212865953291917,1.7632869954860932,1.7435785892339877,1.4296279900786668,1.2735226204937837,1.3496968816226427,1.4155392996922083,1.783625761292499,1.6355339931613755,1.5981016995273931,1.4618793320644439,1.457670905101011,1.2896338359234558,1.7069392568898498,1.7329687017916673,1.4600421729845188,1.6120611469496315,2.0703947857196523,2.0036098084666567,1.7752835295565834,1.876711274441591,2.3791373187824574,2.0976665363908107,2.0112393324206543,1.499854520394978,1.3361537291638519,1.3908028532421113,1.1336514545405942,1.2086038877229675,1.0835344169956382,1.2439360713287324,1.2940092744844507,1.0069958960685592,0.9355708024153057,0.9978302747670666,1.0369075786616844,1.2177420080896457,1.349256060839386,1.3664625917637367,1.3841428580463695,1.5715887486043958,1.8929322716807275,1.6780087883780888,1.5707727675525844,1.368669694169785,1.2310338014938005,1.1471147594039262,1.1919508028468757,1.212586732624727,1.1605670345847872,1.205897705079588,1.3268729385613582,1.2616702295371478,1.2750896054056013,1.6408129677820997,1.8292055582250895,1.4423201197360427,1.7118303520768348,2.015590148700716,1.9570399968507393,1.7017506304735313,1.3202325311465095,1.7348978674489834,1.5391785968154619,1.4955659884447852,1.4784557314491478,1.256956144474771,1.5783645993505522,1.693676350780425,1.1777394246663904,1.0722435604900549,1.1194745929683585,1.0984503922089246,0.8696072657670116,1.0083645393698055,0.8144997127200224,1.3558225791398604,0.9751649418834064,0.9214476512988394,1.240225079113232,0.9849188112597355,1.4240381420205985,0.9204715579392603,1.1008688352083593,0.7823991747351562,1.2303040191542984,1.2334191623543618,1.4691790525189348,2.5712316412536484,3.2987024486095247],[0.8879607870032279,0.8484343690562623,0.9087764136375436,0.7905681714428162,0.7262416255520967,0.6945621603141525,0.5638788706007289,0.5647751700695356,0.5667380495720696,0.47695232254166103,0.5034148321369534,0.5231469294290829,0.4927474758013641,0.48709754624336443,0.5136590051850626,0.5145780509745723,0.53417004629132,0.5507925217670003,0.6702822768932427,0.6151844144732861,0.7271557544995313,0.7474229928557764,0.9980682611617883,1.0576002243335745,1.04605678795543,0.7758345480808048,0.7144076109805085,0.5973099561609008,0.567650034878577,0.49503076219956454,0.5512008381944654,0.5126442514731876,0.5168797414491908,0.51634835394484,0.5182247679215806,0.5275927524665157,0.5579936088433642,0.6692003861537167,0.6586009850185206,0.830679584497568,0.8497912424460102,0.7450255142306408,0.7738693975314969,0.9450017272432591,1.1367198494521,1.5379717511734647,1.7458825357946155,1.1825988502398825,1.6745440243374745,2.3901450187872637,1.26751355912084,1.7576213270563992,1.0443344220202588,1.0077294801377212,1.1780998801733933,0.9119637716771578,0.9102357963144115,0.7808140300430961,0.7920420301264787,1.3546566121619015,0.8844155281191399,0.774511437856404,0.7602377320888138,0.8491636502898167,0.8269507228369388,0.7356459877316223,0.7716354969545375,0.6143893769814255,0.7712586431762731,0.7433137586947449,0.944431344997034,1.186118565781469,0.8766131280200528,0.9826814548702688,0.7414385278338436,1.1317919964906944,0.6350114178878005,0.5791079717928912,0.5622441916588424,0.6276993966694402,0.6461174276650946,0.7174230893035052,0.835878833997328,0.8837301873255649,0.8116312734887055,0.6138269475170702,0.6463126730884523,0.583185988350464,0.5746021733718727,0.5984834705607203,0.5733255458163338,0.7912907279576397,0.6915783689479915,0.5697626533939857,0.5768819230166716,0.6795692147285596,0.7183613833191158,0.5565156976005572,0.502564181636966,0.6457581908901693,0.5263854597781058,0.584387489830311,0.5553059698652344,0.657409467975467,0.8264381864122669,0.7622407213470215,0.8021484717341525,0.8044238106898695,0.7699279411233823,0.7305913174695405,0.6859758806661695,0.5944216517308343,0.511567214973252,0.5035594648224766,0.5015949558736904,0.5277776212054612,0.5980713179179631,0.6385891216251224,0.7994088131102698,0.5851725913034831,0.6372417020255209,0.5761849358807623,0.586256583110337,0.48253801886603914,0.48084316592292625,0.4983781678585049,0.6541688364093515,0.6002509331823164,0.6617130007371794,0.6646187160636547,0.8811188651999726,0.9468406987040627,1.0775973625476865,0.860360590490162,0.8717505261466572,0.7356655333083767,0.8217784762813958,0.8093016136281387,0.6691647224416682,0.6340938433338669,0.7865370129122989,1.0350182427111823,0.7653619960242852,0.7055350120814518,0.7144174879984151,0.5991747041089972,0.5814626123476067,0.5019376779325149,0.4994121006956299,0.5360321461820892,0.6067889695108833,0.5995330794404278,0.7554387236571727,1.1889630366663473,0.8669712987976559,0.5973047354630152,0.5040767651850696,0.5401623971044388,0.5156044569197378,0.6141433582988713,0.5986782528400141,0.5903479165711782,0.627328931134888,0.6404999244442899,0.7496603647921726,0.8318882834518277,1.089958693324175,1.5921328857601924,1.8379127776649438,1.3709934535185404,1.292595680218481,0.7442988911948392,0.6868294206188946,0.7319637768474752,0.6675249110017665,0.6428806923454,0.5931816965622809,0.7189086372516272,0.6729434497109655,0.7682907676544753,0.7826184567358461,0.7634679785114821,0.9603280224914941,1.1096478423550258,1.1525335716391136,0.9730584296715138,0.909270634813951,1.289346539454879,2.2704552826724957,1.3047991647269328,2.196173054876846,2.0595130689123136,1.938908611672149,1.7227991849258526,1.5105319012082485,1.6707580457932347,1.3699872696578692,1.2422330989661627,1.183119737434837,0.9699031368292218,0.9731795704236158,0.8241287519407672,0.7679383275912969,0.8809973072968079,0.9241156662736348,1.024584293207747,0.9809202706148396,1.0782317770534895,1.2784065695509725,1.5298270439978205,1.4877219834652764,1.6318621291445838,1.9259583983651605,1.8470487280591321,2.0032454278898917,1.5827704744076079,1.6979834275360188,1.383124273938641,1.2401052329705287,1.3254654891197322,1.4312073532472442,1.7131370691954688,1.6105504542860358,1.5748696926442596,1.382217019734169,1.3445348345002766,1.1757589868932066,1.512111575766162,1.6167811259417728,1.3471080944584612,1.454585345785533,1.9162282372297532,1.9138225872621293,1.6482664155452842,1.7125829128055279,2.257242058277539,1.9927102906506478,1.85462933273215,1.3814400927763952,1.1362469253117076,1.1889057145453703,1.0051009466187317,1.0574329581442592,1.0188596593450434,1.1112194155648467,1.165107751248332,0.9687497657329563,0.9083242141877025,0.9333495403802571,1.0098645042317271,1.2778462382284483,1.4554396723775922,1.4241189455154928,1.428568575144003,1.682715317734742,1.9957547175830093,1.721704872791653,1.630096734877885,1.383491925636014,1.233224106338622,1.124206912841212,1.1278521409019997,1.201864814336855,1.1174814284684327,1.1209288829996922,1.2926283729483585,1.2381250951913227,1.2392807680636515,1.5869739574521926,1.8609481703809343,1.4776811676571053,1.681790957741293,2.0029190364893057,2.020527208430494,1.7995499367342314,1.4505399918353417,1.8727744349028457,1.693322272152725,1.5179786959821457,1.3011446948228778,1.1462420188996678,1.3704167135288479,1.3031949034324763,0.9914911997301615,1.201168430464968,1.2951947488202882,1.107811939886,0.7596256773996198,0.8719860925722183,0.7027449262345393,1.2963626081580222,0.9023046276213068,0.8209067581254015,1.3188533436415852,0.9347045026573454,1.2812478532954175,0.8146256374172498,1.0842507114310533,0.7862058404237523,1.1503011593683532,1.2437334666189315,1.6002508903741623,2.5804719209875375,3.1780330284721647],[0.9103537391499409,0.8547230540083446,0.9215764676250137,0.7990030447378582,0.7268845401200091,0.6815257910796579,0.56052270571332,0.5663037913727844,0.5880080779124618,0.5235901631609854,0.5601518922848367,0.5546081596783102,0.5274568301003579,0.5447619688298005,0.5777255759457803,0.5519897239559495,0.5280140401144657,0.5665527337601439,0.6749247162510204,0.6063481466879707,0.7732181838730274,0.7725787264427322,0.9878321582304014,1.0565048945246265,1.0071423822672498,0.7669606816585347,0.6886380384338966,0.5712480783628601,0.5468565932557743,0.505920369316022,0.5901539966380159,0.5387125625071765,0.5523154404573467,0.5490741599809775,0.5381769983534165,0.5453406424317426,0.5627530442266883,0.6727377829784987,0.6400111423111582,0.8340094605730974,0.8159968549421301,0.6953900980306547,0.7274638529416652,0.9244079052785824,1.1114638758792321,1.5416358605395437,1.7932780703818754,1.1595666751353582,1.6399736756393652,2.3859085792425674,1.2664739687319169,1.7784210103919489,0.9949155882971882,0.9615578944301216,1.1377075048142398,0.8907507435444302,0.8761525662284262,0.7451969065657709,0.7731701309232948,1.3817253909237541,0.899979060030263,0.80952618570079,0.7761652341150186,0.8544579360960808,0.8165726735447154,0.7920327091426314,0.8590862119291958,0.6219416114882875,0.7797104550607423,0.778594897093785,0.9454952064412762,1.2031664640963127,0.8971601747399613,1.0109901381331066,0.7503784859659273,1.1784875218594681,0.6378013195319076,0.5804184474017344,0.5722007007758717,0.6453123472422472,0.645798500398581,0.7090024997388708,0.7961963295980334,0.8558674534246263,0.7825787008052558,0.5814451720153434,0.6313828009922035,0.5887137074768503,0.5736503946597262,0.5955174178592884,0.5771965793911594,0.8085132921299216,0.7403870236909421,0.6443053522015162,0.64248393586726,0.7583905197429127,0.7765734943689595,0.6048395394650259,0.5507891344136328,0.6717968889415676,0.5609866792771334,0.5833204054356034,0.5335014996426158,0.6450725366410497,0.7995618800273525,0.7481908295613212,0.8039709646626,0.8299704206223761,0.7786578781568637,0.7379312820892532,0.6826701301310113,0.5737112170996085,0.4942255553937767,0.4847189194744612,0.5082637379279709,0.5092244860111038,0.5793529797159909,0.6217151077306091,0.8189643003535901,0.6131898775470821,0.6523969877659028,0.6091817855134003,0.5929708830609031,0.48179662703157144,0.4911359620397314,0.48832278421985054,0.6181359028124741,0.5781817031510815,0.6539184953059214,0.6599714948052198,0.8976576135737137,0.9902438889735272,1.1256421968380244,0.8952811996895854,0.8835387182783536,0.6916911413389711,0.7663739039875903,0.7917548279271958,0.6305748146941128,0.6142940615439131,0.7534204230938597,1.0131377010523557,0.7394922340066681,0.666277148521099,0.6834955704029066,0.5715275343666043,0.5460799842750435,0.49992142313803806,0.46835637783930806,0.5241450728720539,0.5934208500775159,0.6134308865955804,0.7496545696179994,1.2144158626900174,0.897110528267947,0.610771480157405,0.5273771206893152,0.5354301615488802,0.5150832342394078,0.585505842150639,0.565707256794332,0.553552595937719,0.5878070687526623,0.5917351982982441,0.6977284073779991,0.7842361398568939,1.0348523892636527,1.5296147200626744,1.737828937392911,1.254790250059936,1.20372417704337,0.7038541266167435,0.6468181078868557,0.7149334630490232,0.633328350164154,0.6177807970180255,0.5550212327935509,0.674293273735597,0.6679211381368004,0.7627177666121966,0.7100991944149069,0.7618161289610199,0.9764098288158448,1.1445801126047301,1.1912267003341641,0.9687449964767969,0.9196135854933238,1.3303150111916209,2.290148079575602,1.2957803620800377,2.2594354068479783,2.114803216978027,1.9887614501326631,1.7650756992107086,1.6075493403058498,1.803101232429342,1.4282028204047423,1.3233667812917769,1.2526398357266202,1.0060479235755388,1.0382077167518593,0.8468368258448342,0.77676665207295,0.9111619214798092,0.9465061956530584,0.9979447859763925,0.9759892211488156,1.08477743826421,1.25343004682552,1.4955580883462931,1.4707798393432052,1.6107999565308755,1.8873254209183112,1.8220242517940457,1.9968079572167254,1.5954810788420573,1.7101336606870678,1.4206347859956976,1.275159859044349,1.365022379261223,1.5300077659194025,1.8977976495238866,1.7592079113072376,1.6644023391915446,1.5053520594262098,1.4837761191356422,1.2732246141682526,1.6924837940139332,1.7826830367546507,1.4680119184813165,1.5821264280656258,2.090455675736894,2.0481106738479373,1.768611049798664,1.8554001051410836,2.423069592796071,2.1315406278230773,1.9656109822239418,1.4705250146005104,1.2255740699923867,1.3044418049918998,1.0685933857708367,1.1174015790283947,1.0298339534157543,1.1252868930002644,1.1828103741736007,0.957697948621903,0.8701408090191892,0.8971549844515707,0.983549430521156,1.2227095754456416,1.390726999168461,1.3690210612596607,1.3898609666121862,1.6310410279156866,1.9403251006621471,1.6886952479266897,1.6085229261158216,1.3771639302768257,1.2398444979034924,1.1357288658642555,1.191922504065185,1.257781210666087,1.1535741193225577,1.2063680809730457,1.3910138742007503,1.3126771841984244,1.317154092638953,1.7274938255585979,1.9965049489128355,1.5515918116984206,1.7729566124715344,2.1495864785434344,2.1340854622437258,1.8526643888064767,1.4683377064668564,1.9135762700054046,1.6729536619788465,1.568776382376936,1.313500599937962,1.154700345357096,1.3629326432360078,1.3304362866214163,1.015163719392841,1.158935651102893,1.2416531183540045,1.1274416276892087,0.746685058344807,0.8907893993519231,0.6795049964261018,1.272072605748187,0.8971248775336473,0.8155731964741958,1.3001896022652326,0.9288655118597025,1.2530294057699705,0.8080584347805425,1.105428894523317,0.8000141523629802,1.2033896864215736,1.281949023146248,1.6618858662620883,2.675268236996847,3.289883363289987],[0.862612541312093,0.8060432197693884,0.8621590071911557,0.7421160999475013,0.7079121964092328,0.6815855718774165,0.5829153681555841,0.5790131963331405,0.6298271109936975,0.6081291207406843,0.6381630432738419,0.6121465175687758,0.6248837114874496,0.6458891976515464,0.6925985523130573,0.6651736101499948,0.639040908478441,0.7057763135244935,0.815433325168207,0.7624085889738446,0.9386671087646493,0.9410453917290191,1.1235430883241615,1.1862510097026506,1.1170927744438115,0.9134732671565362,0.8178741501036666,0.7059821385385572,0.6745451462406079,0.6273071920836027,0.7149529620963582,0.6543347071155583,0.6601593557479071,0.6835616728242252,0.6695737742549861,0.6895954291021401,0.6613366498439901,0.7823854725991884,0.751022336220106,0.9264578096193862,0.9302709058737122,0.8221999888450997,0.8604467652832929,1.058410888849803,1.2183258023544192,1.6273832312909553,1.9241160018658017,1.2514245925726561,1.6726008093937346,2.39806770144122,1.3616185153742009,1.8924609502961318,1.0809568626269397,1.0299425284192967,1.1825053577708597,1.00764811675885,0.9786552743692911,0.8510888573938472,0.8812522107719976,1.4943021770425664,1.0278063050274058,0.966052671080382,0.904888141051188,0.9793914146442779,0.9566922683705258,0.9535524974237097,1.005707952339446,0.7743609647067171,0.8843582718527259,0.8899040712115164,1.053811023253468,1.310015493441158,0.992011837708486,1.1060266210174463,0.8653887063135641,1.204924241519093,0.7947879290135152,0.733372738201401,0.726893772568822,0.7881584560426742,0.7458846912439917,0.8123058620228852,0.8563533488721153,0.9631237046170231,0.9172774817066444,0.6908258704918748,0.7351348405493165,0.6983021340656697,0.7273961103143214,0.7491105883796102,0.7118944209785176,0.899846330369745,0.8598201523089546,0.7591768227654466,0.7533739235372898,0.8614914951753895,0.8834648267509139,0.6986023649189919,0.6416151890201839,0.6888281228157728,0.6185526733664934,0.6003300864703461,0.5819811791909286,0.6351421382972146,0.8432782361200057,0.7038184451469522,0.7412929002437612,0.7950616899793347,0.732865805116525,0.7004355553515259,0.649660036876298,0.5714630200467364,0.5259573140665037,0.5492970931836512,0.619157847762032,0.6232907966127343,0.689597166482005,0.7433630487680656,0.9293170689803026,0.7304243878530311,0.7559033519006577,0.7200280712624422,0.714960369647545,0.5862744754180266,0.5595269735447399,0.5441388343829106,0.6286684067628379,0.5835634588415001,0.6278222691248868,0.6514967427445371,0.8207647112147513,0.9003986714344405,1.0722252699900976,0.8758058207254273,0.8716582607202624,0.7545487996609668,0.776534707951942,0.8580703964464452,0.7071398238786168,0.7248711341418865,0.8438313776852171,1.132577411763035,0.8535945026635304,0.7702726662552077,0.7917054703847929,0.6807468082722499,0.6455634509112146,0.5872679938602852,0.534325497024927,0.5542045659529665,0.5987060006509008,0.6156039793810602,0.7288002638959149,1.222464514152617,0.925330603334268,0.5915724153560142,0.5546113542293952,0.5539047143124556,0.5755124561892468,0.6054330121064766,0.6291765114103118,0.6382656568894121,0.676208630778615,0.7036954765268029,0.8017429233059151,0.8759734205564091,1.0466635047471613,1.4987341303257018,1.6786988803611333,1.229662221583706,1.2104259839293792,0.7724986443527648,0.7208682289060204,0.7719828649585135,0.695762394383704,0.6401316865590758,0.6189978063784479,0.6962399324710918,0.7533411349005952,0.7668327470107661,0.7700455881345921,0.7612848090660222,0.9684822253112274,1.11920130276295,1.176206635305736,1.0016622457568223,1.004032164307058,1.4261120248140522,2.48193537131884,1.381091751851321,2.4611963809907778,2.341503646060351,2.1044529186926937,1.819590260326664,1.6051909230787864,1.7479415652662522,1.3319638899593893,1.2094888820411318,1.1230006915458728,0.8839665464597971,0.9053219984260812,0.7665930503776472,0.7061264339585362,0.8200874834876032,0.873710167492301,0.9929426615710794,1.0014477621598907,1.0709077818575197,1.2372808170619145,1.522366782634515,1.5100910014225122,1.6218410143040998,1.8814963490579542,1.8541315078295229,2.006986794565611,1.6371870450942565,1.7042301108638014,1.4033934807468411,1.236858696872538,1.3275907639352107,1.3876861807937073,1.785961274749638,1.595693461544113,1.5811440345190382,1.3677004928025167,1.3206737801077444,1.133386689763363,1.539491028276683,1.602195979214494,1.2972752166526895,1.4222588846358013,1.9222572472867285,1.8355142672473042,1.5804193026546374,1.6982725596887347,2.209091984395563,1.9284066144115886,1.8130124357577877,1.3033512638811293,1.1028470217113386,1.1790332788720488,0.9603372091224258,1.0575306605268215,0.9118684832058429,1.0966204972415554,1.1035123727952547,0.8742447882334053,0.8071335284023146,0.8409568993491513,0.94154022407431,1.1738126141432768,1.3503208548322108,1.343011652485395,1.3415750378645022,1.575362396792272,1.8969968121304193,1.6586606516777067,1.556712404296893,1.33581491705355,1.1717792233608149,1.0634323116184097,1.080374722194988,1.1614904674300028,1.0856678723880073,1.0751082032680883,1.245375479933379,1.1967717135427507,1.162854631350704,1.5362273688731563,1.7808558526515426,1.3602701619172983,1.564233848975494,1.9151461552249405,1.9074118665861675,1.6197912625166009,1.2713511590251487,1.7614750367377427,1.5690586297141313,1.5139636998559654,1.3872269139718258,1.1903244474826662,1.4463199955899115,1.476283214978865,1.0784293053694172,1.0665827250533262,1.0126748568165227,0.9807182861960491,0.7389299687519616,0.7744999481719077,0.6511233963681411,1.3985776807338302,0.8494969414682153,0.7782607093618923,1.2750505969640122,0.8414363722006097,1.3378959126765715,0.7549868996798275,1.09264973088339,0.7372154858931833,1.1432395977610756,1.162776451303483,1.5485226407517847,2.5155231975581467,3.0027563965651156],[0.9480971791481552,0.899290880506937,1.0955987069673265,0.9245065372110177,0.7886460763982707,0.8050994394462812,0.7421176600438893,0.7618683156088033,0.8216412481620851,0.8427981880834037,0.8828253586847545,0.8857700325634749,0.8538693038148664,0.8993837952718169,0.9196117781963905,0.8907915173421463,0.8766511025167459,0.9128709732392937,0.9745986408798254,0.938512079528769,1.0857415370961354,1.0468884465040986,1.1953597818848989,1.2764811409927863,1.2096353356161313,1.0458057066396176,0.9450479699521066,0.8423214029213383,0.8469042959882291,0.826912191491175,0.9423023124420165,0.8564306496426187,0.8856788785915507,0.8955205385288377,0.857609961401486,0.8747656121751298,0.8181090487795447,0.8614901510705635,0.8330175081934401,0.9589307514600491,0.9830647795524597,0.9227427227424267,0.9359042485384692,1.1297528354911084,1.2326023566720574,1.6820023494779655,1.9486356980882797,1.277600169880134,1.7992134742688375,2.446421901676351,1.38138107310355,2.0295931544262196,1.091456243465892,1.0263470270538544,1.1660105266882002,1.0662592919657647,1.0301051115046391,0.9223692371226359,0.9742761211352728,1.5450086804578322,1.0785742016921127,1.0807972878105423,1.0594245931894304,1.1557146030961232,1.0971422832446345,1.0782870045828545,1.198237177489381,0.9823887575064904,1.0745081070752744,1.127120514111281,1.2431139701177367,1.4819283128534309,1.224495516513777,1.2965272611990541,1.0853767645230183,1.4718577691233783,0.9767875844027161,0.9352673639219262,0.8953575365704306,0.9024790653131325,0.8834097779418311,0.9060096404415856,0.9791257171117758,1.0474095569929105,1.055410900541431,0.819228030403293,0.8355324909976016,0.8541962509943266,0.9044150069676925,0.9532455725460445,0.9342546560996388,1.1256041409005486,1.0805375661799752,0.9947630988477618,0.9738060912166844,1.0943134561646441,1.0781070147549499,0.9253865203573649,0.8746997192044239,0.9042556776170328,0.8467336827828125,0.7985831896961535,0.7850528227350055,0.7547241468664451,0.9779204789948922,0.789367902587252,0.8288971503661249,0.8874092311134644,0.8040662484259221,0.7868727942802369,0.7396365947048978,0.7061680543890638,0.7083225016711275,0.7144348546239507,0.8122788474980622,0.7967588887352296,0.8517277426229208,0.8663931305795438,1.060198499475625,0.9277017399806486,0.9645845990641456,0.9523229199876583,0.9108685968634758,0.7941338309550642,0.750973602110003,0.6965208922575677,0.7020649034637825,0.7387585388160406,0.7272685337852468,0.7640538855634148,0.8730803004502439,0.9302736879456072,1.0780829137864576,0.9025928146042206,0.9120503445846184,0.8999376123700721,0.9110393954990069,0.9149016722901493,0.7823633547380978,0.8420010027771657,0.8914820216433224,1.1590683151460512,0.9106211486645661,0.8480989591298194,0.8530114321042859,0.8026107539704495,0.773700428840024,0.7683501938907209,0.7224331926396216,0.7484985502272008,0.7473594299101429,0.8226972072056173,0.9055883645701637,1.3771968122411309,1.108790473378886,0.8005291551175397,0.7776895256841627,0.7478353288179597,0.776764017469639,0.7524718800703051,0.7459638790396256,0.7567050871456508,0.7770351559207525,0.8312824025954036,0.8842440642531781,0.9278760232619223,1.1140117646753611,1.508914802920574,1.7537776781475125,1.3843511848240155,1.3857120619629608,0.9125936633776633,0.8652723820611924,0.8351214006438465,0.776183106087668,0.7464536553202885,0.7839973230804084,0.8383417909794316,0.844901012458312,0.832436730284692,0.8567025245699567,0.8267475755452782,0.9713023403825408,1.0906720992378531,1.1279844436327449,1.010431024235943,1.0538070304061427,1.4759206937740392,2.7467030220806667,1.449252073295813,2.5671474718524787,2.523235178358666,2.1716081592463943,1.8510767288404857,1.5907909700866438,1.7064827739093793,1.3202931812852718,1.2241130034367564,1.1867407281442701,0.9458606271048372,0.9874510814470912,0.8178180408756152,0.7625279708492898,0.893489561507645,0.9101885907788992,0.9888781660178053,0.986035117705434,1.055355957520323,1.1947027359852012,1.427414340123444,1.3919066754273155,1.517364848300775,1.7899115426389423,1.7072850614683575,1.8502703949476786,1.4823569578483364,1.6047050745919422,1.3660055135461564,1.2240397574565756,1.293799159098435,1.4402712160200688,1.7297805049312458,1.6212462984737552,1.5402209645630751,1.3761275929036318,1.3516151114121382,1.1749655234007508,1.5769247694433128,1.6428328136395551,1.36732923686097,1.471182239219187,1.9661707526418417,1.9109259357411466,1.6391576240143721,1.7282305378943559,2.262468286708,2.0013182744048903,1.8472119095196224,1.3801267982910952,1.1349511455809478,1.226081022552304,1.0259694851084413,1.0683024863712498,0.9646239165737432,1.089581817035858,1.0903738192129062,0.9864556815662169,0.8976247078860048,0.9122543791105666,0.9507794650660123,1.1732943426494709,1.3559563411265145,1.3199784970579564,1.32175599377279,1.5657838531194739,1.8602937901480772,1.6067421921753877,1.5287386350608496,1.31113319938092,1.156838306426355,1.0536956801549369,1.1019554852597886,1.1554911658631872,1.075555853233502,1.1144132364495265,1.284580730237737,1.2304691897633409,1.2323448800200967,1.5922400248689028,1.8588587916915986,1.4524721730366386,1.652819620890086,1.990295064127315,1.9998002577882092,1.7384171886962168,1.3891563795175548,1.8157998808571525,1.6545684993437595,1.5295263157342716,1.3132056874456703,1.1568694569689273,1.3374297219104607,1.3201163940928895,1.0470019734979652,1.1845077641157717,1.2167545961365753,1.0861234279193572,0.7773267312093323,0.8511748463960858,0.7624678439413819,1.3279609101716072,0.8946888067000863,0.7902804396517703,1.35792645103424,0.9381379455121717,1.2389029416662527,0.8708253866233144,1.2431583394259476,0.8978737823002435,1.2365661378342747,1.2015617316886176,1.8011961694992198,2.704548027117197,3.137245614022913],[0.88506577086145,0.8326723580232966,0.9981302056548473,0.8661014853017581,0.8093848088261603,0.8102651605054669,0.7758003387989879,0.8106016130680446,0.9176698165430626,0.9673589776646639,1.0464728767399394,1.0420987508116295,0.9859596708247373,1.0642024896285416,1.0790814354789877,1.0346697056031497,1.0614948678092044,1.1228357293327167,1.2176435047887169,1.1722680081198893,1.3246238078221477,1.283357666969067,1.4161765624642102,1.5323201744987374,1.3905483149581834,1.281261033957951,1.1627490298097354,1.0157839731674516,1.0130133797831038,0.9732138883773548,1.1256707824983174,1.0022103889606244,1.067090268226575,1.090364879757253,1.0354206484187924,1.0688301302744296,0.9157226955749933,0.9689308665146286,0.961823624330148,1.0314745968526482,1.115299720439097,1.1367154350317574,1.1431094150961987,1.2915250644136287,1.4633557596809934,1.8274378986661957,2.131805315234057,1.506949709693804,1.87407977957413,2.4354426639121263,1.515606999086247,2.077970487929585,1.2526846447591011,1.1885267382577214,1.251176580081434,1.2572849649416962,1.2382911192987598,1.096269784137042,1.1755052273344146,1.7387083194923993,1.288079861324722,1.2952520245060972,1.311384587789155,1.452354110360096,1.3707639322934806,1.3255467431077788,1.4817966592565681,1.2649036272768948,1.3521514037818219,1.4199708486561622,1.5315775679667318,1.745519023800939,1.546929974426795,1.5983826666830119,1.3696348465914294,1.7612314426825093,1.2158912931818924,1.1905174594224666,1.114073652268512,1.0968604264272477,1.0562551308017871,1.0244689396766353,1.0671462377876766,1.1712942610780417,1.1792455450805035,0.9176489981036544,1.0067890915893503,1.0067959843513548,1.0955940750653599,1.142733976628996,1.1553705148128373,1.3747182120671946,1.3353196158964677,1.1912148855249396,1.149425478904204,1.271924639035109,1.2612263775062194,1.0987401438037412,1.0288417030139163,1.0055399929948525,0.9455045532104719,0.8600298787353534,0.857106548544066,0.7733672050900804,1.0131698145680352,0.8000255898103885,0.7860841652462167,0.8561428614894638,0.7474949046454409,0.7614419605629257,0.7201079202244244,0.7248809212071624,0.7474156031304267,0.7758555289874373,0.9132545124438798,0.8816494685479445,0.9704056172948194,1.022665323801527,1.268188084676412,1.1522250912598362,1.2028225099867074,1.1337662596526308,1.0440522812424784,0.9071065568617898,0.837787725586612,0.7250188607050755,0.723196323430287,0.7438118861934879,0.7249265007930301,0.751117837403337,0.8407242920397044,0.9078456938875613,1.0962510021251963,0.8911154694496534,0.9170565602528643,0.8947980672828738,0.9111722859747694,0.9146891905769992,0.8172033165151421,0.9153827199801474,0.9438469336920693,1.2136445953455655,1.0210330197657511,0.9389063370638624,0.9454539366934579,0.9146085040128483,0.8677537096188945,0.8467219297010546,0.7780703508177911,0.8325530766941472,0.7792083127477777,0.903429618504816,0.9866621776880423,1.4741706149985268,1.2118792061352106,0.8766521549216504,0.8752204913119561,0.7945184729142796,0.8592349370525291,0.7915027632775705,0.7894797174336421,0.8508333114868472,0.8590357177879921,0.9282571472073521,0.9707631633638623,1.002914171842119,1.1177420032696799,1.4451818345618375,1.620812263988872,1.3182853885931782,1.3313046901894943,0.9384410603844082,0.9015663294311687,0.8709430744200453,0.8325014925777254,0.8005650837240453,0.8936344742522875,0.9007179284644872,0.8980394505243382,0.8455028586403253,0.9187236797187264,0.8357713575750585,0.9946706323508759,1.1255962133819222,1.1477776790971084,1.0786312007848222,1.0912090749814871,1.478161687706332,2.871139272568568,1.6121735266638493,2.686315362402926,2.623178766580719,2.2476466973715885,1.9123796941739049,1.6822407098405765,1.8222761918777193,1.343619854825136,1.1951405722766828,1.1081519043168326,0.8767441190007343,0.9235747716189947,0.7720412625255559,0.7286675116906526,0.8484401371532839,0.8873921434717196,1.0113895175926717,1.015683772876563,1.0668833932786337,1.2148347673740885,1.4797369855273397,1.444315949269645,1.5563018059429283,1.8396752230736488,1.7706390597030452,1.8958564537587839,1.5464279130479077,1.6481866980577298,1.4081332998282212,1.2388661299889956,1.311582112766188,1.4501212117378952,1.7656494332312809,1.6815555635059254,1.5970091696470474,1.3977368364516216,1.3471052169146083,1.1361096270320028,1.5557449700375885,1.6354685530055189,1.3250443176699456,1.4229371550611272,1.9383005628410812,1.8488418790419607,1.5822796806659685,1.7316591075138685,2.248265383030036,1.975278725099026,1.8020480846291553,1.309393382440397,1.1036939510667847,1.1786766706785818,0.969453077827868,1.0457466084088594,0.9018497262198681,1.074750350906834,1.0656516310961066,0.8864032962914201,0.8200142809182216,0.8517983523362799,0.9433319423973124,1.1757742153141686,1.38036535379309,1.3457491941666324,1.3321139238975288,1.5739886997187986,1.894053195361453,1.6284726191789682,1.533967967857504,1.3149024789570822,1.1594012645930731,1.0522212565949485,1.088145822427693,1.1591309933505278,1.0800739306669633,1.0997979457293077,1.2811932249394336,1.2273992063487873,1.2010249884247717,1.580200731100915,1.85144291019434,1.4287597314149412,1.6045759875094796,1.9964168722754074,2.0002046200789407,1.6989474927165724,1.351721444523068,1.8373543223788462,1.6423437130774734,1.5594697479842712,1.3703045169824133,1.188819889991046,1.3992135994100172,1.4080486049149976,1.082218382010027,1.148150184983426,1.0931946576603033,1.0269940531095458,0.7696149829994549,0.7737573737619804,0.7593989515837039,1.4278109233721255,0.8166972510674437,0.7562041468742289,1.3129527791872917,0.8318595214935716,1.3138455747116529,0.8337440792617079,1.1787133854274148,0.8218258170168549,1.146028473257727,1.1216347219819687,1.8009186913637936,2.6861467970307267,3.025003772431588],[1.0292457542199156,0.9833482502403597,1.1784763022886424,1.0466881404126964,0.9598827874165807,0.9936471246504138,0.9527677757904683,0.9903325936095633,1.0538264769428507,1.0826506924120594,1.1405043109046975,1.1575261184932715,1.0981171397130638,1.1474657085353375,1.150988629763219,1.118739560003605,1.1116681226609608,1.1319920799141545,1.1900914531569635,1.1465591660571117,1.286813164548731,1.2368158624966148,1.3414837063844907,1.4474914036289777,1.3325630021508086,1.2340136279135463,1.126948379464557,1.012283998015501,1.0401929953345572,1.0452732861111664,1.1742973212546992,1.0841940822043878,1.1532290506017453,1.1263594001457213,1.0770370722605211,1.091565212545943,0.998958185374115,0.9814857051170656,0.9515148868021907,0.9931151179060879,1.0626714647058697,1.0776883163916295,1.0820234102849298,1.233020215333546,1.328318970906197,1.7732685011053577,2.0010995306097334,1.3666992927033645,1.9032646980668892,2.424297680627461,1.41372958971769,2.1010559356625174,1.1575163608527828,1.0701389922062803,1.1888486040706046,1.1967079834619039,1.1687489374094608,1.082191103591739,1.148011945401324,1.6749390186887394,1.237712442954014,1.2774849991372388,1.2847898799963064,1.3756095879123666,1.2981772652378198,1.2851340326700722,1.4252016456191356,1.2208837410890874,1.302886537154559,1.3642849118857638,1.44392994917773,1.6537975155606146,1.4649078063401277,1.5117968818376468,1.3267943619083433,1.7516684683087205,1.2037071217851687,1.1847583341952042,1.1172908696961223,1.0887180592070478,1.0642116126891301,1.018464874383361,1.102126901025084,1.1652344536032984,1.1863672630656867,0.9560711908672512,0.9965201253222307,1.0514424512456597,1.110743086597338,1.1740513324889654,1.1782581770443308,1.3597502069447298,1.3314453078057018,1.2379021541514017,1.2017155157599813,1.318937860506293,1.2946459118069875,1.1761890403286617,1.1350975632757034,1.1505950815727093,1.0868017599256499,1.0486707284079633,0.9988959964732963,0.9398013787412366,1.1130134283255821,0.90586812799518,0.9102439226035878,0.9489507728115606,0.8736231917612048,0.9166417425623334,0.8582147235256936,0.8768705305196725,0.9199319948730724,0.9014410732889386,1.014255261695236,0.9720218541857658,1.0305353117076603,1.0085568363153439,1.229364098534966,1.1536607721263283,1.1982438825579906,1.195724894627733,1.1127419751762848,1.0106121474977963,0.9823822637235793,0.848211121570459,0.8777725341703398,0.882264550568662,0.8169787292071061,0.8373105953952051,0.832284760259656,0.8554210402483509,0.9573097646390601,0.8341214695636736,0.8523836193367745,0.9795829239897634,0.9825280575605996,0.8972086843355506,0.8160708897220513,0.9656554835779301,0.9354765454723463,1.1643925158240374,0.9798852050669218,0.9226828134789774,0.9271326322181487,0.9421516416975692,0.9143703897617115,0.9494766503217501,0.9242540197963861,0.9781665063342508,0.9685981313623004,1.0895720656087773,1.1738877478043812,1.6079927050531462,1.3444104365593905,1.0547662012558312,1.0434281117301327,0.9877164500843258,1.0104563052352546,0.9152884280589151,0.8770963187347134,0.9026368571033948,0.8779339303878564,0.9500974565678699,0.9206754916618122,0.9585482911540575,1.1180227272628982,1.4711970874464197,1.7465754586145854,1.4788264290646647,1.4762391038776965,1.012504892191313,0.9659138706646513,0.889513450186241,0.8737162670561845,0.8750820480659492,0.98954325498827,1.0137729098394026,0.9518140937540646,0.8899798350971956,0.9465206046825333,0.8427760297195402,0.914102191846204,0.9911649205299005,1.0000251850394632,0.9808005759408417,1.0547975963559943,1.4381154005136363,2.9871696577815476,1.539242826719544,2.6375083664374186,2.6752706561483257,2.143031806933224,1.74853321412591,1.4486345745389808,1.5371799721909032,1.180484763318406,1.0869776396621587,1.0762051666221515,0.9004101206633921,0.9634768383545124,0.8835157552618803,0.865137146162698,0.9659221751055697,1.008785109825137,1.175368096773266,1.1557511932767306,1.1986922382662197,1.374128356293363,1.6031741109760451,1.555272089985266,1.6842503803567739,1.9593769659492342,1.8526107008014352,1.9591208286228012,1.6090223205184953,1.7747409452636869,1.4793564751143866,1.3441490856048028,1.424750912031271,1.4337981214944329,1.6749075528833985,1.52983096048007,1.5177000726061627,1.3397817118784987,1.2785064437250522,1.1337366083079552,1.397993091249149,1.4793643381108523,1.2843497315505084,1.2961838352572486,1.757607733047036,1.7391003016350952,1.4504722468566607,1.5435018825361488,2.0864447964327297,1.8337482783729688,1.6898019063642642,1.2451190880724272,1.0194315504865028,1.0870835574331752,0.9681756260974655,1.0103481646399048,1.0213740107223577,1.15753855846854,1.0977715433471695,1.0979293562702466,1.088035188997777,1.0963564796159453,1.1327714393425272,1.3874050155547497,1.5899383588094569,1.5360779765452244,1.5168830442247907,1.7693882915201278,2.0591789350509266,1.796724237902681,1.7111663640295034,1.479514071950148,1.3078532324788084,1.1815948090335417,1.1429279427179149,1.242897664093396,1.1812135398643204,1.1212822691815034,1.2740009538651793,1.2693372504601905,1.2097634628825171,1.493303462679324,1.7819715760564947,1.4421595451559583,1.56221693017879,1.8564669714032118,1.93040538518107,1.711288338504596,1.4528430903846856,1.8595321706889387,1.7415034765810318,1.625808413725305,1.4465468923820797,1.3136775204343696,1.5094596488849188,1.4680801298823503,1.209048067304033,1.2914185932570457,1.2709314699550411,1.1323643642069907,0.8934847601252534,0.8510841635234097,0.9268894354297661,1.5142864144068064,0.9300153474637396,0.9052933539035176,1.442070399662837,1.0102247147876295,1.4220264300129588,1.0650081027603382,1.3401795119939337,1.0122672693764403,1.2275719550886774,1.2203742398893909,1.9480797322055345,2.7941167812086025,3.0857468877481606],[0.8019046124582647,0.7633711583994945,0.9864789804751705,0.8006524682161188,0.7202447978572147,0.7047370091371336,0.6402812850497708,0.6628509675987933,0.7105733360333962,0.7380946922475196,0.7743629949962936,0.7785763595014448,0.7682938078951591,0.7942724432502554,0.8156058192285216,0.7990065105569943,0.8076676549497032,0.8407307765708302,0.9201123614125546,0.8862392683320817,1.0276350930021358,0.992787125456214,1.1624179165451658,1.241169427542266,1.1694728120109932,1.000032789266339,0.8989778185608234,0.7815186873106605,0.7779292526709725,0.7570940913203078,0.8582067389595999,0.7711037320497565,0.8061502605986791,0.8177991207054746,0.7882583754331278,0.8120031085829947,0.7381309016949401,0.7917509557712255,0.7604000085034047,0.8609355609914296,0.9322298628238705,0.8871924336824503,0.9023947864642905,1.1097006967885488,1.2229007292532046,1.6965780822466705,1.9400529782300309,1.3124107241120224,1.8835040660023772,2.501113666073149,1.3940280632961395,2.056039114655076,1.0830595391376965,0.992489316642915,1.086032146364464,1.067494248646964,1.0401746847693893,0.8820885528470658,0.9413829304543944,1.5335484094532716,1.0384122948337884,1.035540508103859,1.0062383098695398,1.1095105144520256,1.0529940500500667,1.025384992813406,1.1478273807002692,0.921225837609955,1.024287288470565,1.04072438430123,1.1676009512371461,1.400218603463125,1.1390337799731676,1.2315079666949558,1.0174728890934837,1.4398750128201283,0.9168539087490876,0.871284937507026,0.837589932836418,0.8445218889115338,0.8022360687866087,0.8067860358080547,0.9131957094929013,0.9915516830298422,1.0113851974472046,0.7398135363473658,0.7686094982021388,0.7741966157349212,0.8406213983267591,0.8797449020909526,0.8659306127131975,1.0661799084733183,1.0027214466860546,0.8997394761468399,0.8751854741428664,0.9935699848358365,0.9828343972297854,0.8341517283336468,0.7797655269533101,0.7934465885640225,0.7544613302729453,0.7108965577353699,0.70457598125664,0.6802590855988467,0.9495369344637435,0.7065251874639983,0.7272703472402998,0.8092662665579163,0.7016547381803987,0.705397094754207,0.6392552860353758,0.6280972321608753,0.6195482250920746,0.6396942692956272,0.743795349306984,0.7327668202528781,0.7908300089995742,0.8070959419700285,1.012794024589299,0.8688644326250488,0.9085991749076318,0.8867929787313272,0.8498265839425426,0.7297465756361359,0.6648409486534563,0.6105488580409661,0.6385170762256291,0.6660995144342358,0.6370798906291087,0.6823385072834548,0.7409540466800549,0.7791215133100061,0.9211959576983041,0.7638616758357163,0.7867546785671948,0.8502078466389811,0.8964530460095383,0.8001129237338205,0.6798878310129038,0.8173536898441672,0.8492472100047204,1.1037304029340769,0.8520115001765837,0.7736113304250013,0.7735576452368818,0.7354122592184477,0.7060253095778993,0.7036214599180061,0.6508054178443805,0.673412596462971,0.6658983537031234,0.7404610843152951,0.8481363751496988,1.3221198700792594,1.0269679515693055,0.7060021220470408,0.6876330557015092,0.6557630683676876,0.6988354076713862,0.6770435762359484,0.6739204135685466,0.6761575826290428,0.7096615935462779,0.781628626977118,0.8196479215092924,0.8889552312751967,1.1204179534985361,1.5353557099605404,1.8178312354085175,1.471807864047489,1.4587082385394214,0.9050721083847706,0.8398166911389281,0.7393984300459915,0.6921412868268634,0.6582766405754599,0.7218833055581312,0.7687998260662294,0.7597513680582908,0.7159178381230694,0.7996219228661676,0.7084244515457951,0.8375098284349002,0.9559233352408618,0.9691660526296868,0.8898043869911499,0.9532301453846731,1.3811415504718039,2.809170443261784,1.4052472463852863,2.5140348737649356,2.526406016089032,2.0814371975742643,1.7266845643588893,1.431508497244959,1.5303555523500316,1.1623340750297226,1.056007443992336,1.0193216934297358,0.7996816172620166,0.8565564835742733,0.7224370258948647,0.6814060599100242,0.8191421932578272,0.8528234939914029,0.9936915725809783,1.0008776611857129,1.0531315196731688,1.201145287186882,1.4535997368877414,1.4168351318823513,1.5310547433541462,1.7953595599515633,1.7237286379473398,1.8415006004723486,1.49763181171366,1.6208105755652553,1.3566730758950913,1.206358678535915,1.2777859794999424,1.321982602449894,1.5820815753838704,1.437792559774731,1.445246696228501,1.248175901784855,1.1941744790245692,1.0399807005967503,1.3585040793038672,1.4333105370615793,1.211489254625973,1.2627569158991871,1.733175952232991,1.6964376620460473,1.4245402721007887,1.5362251452529203,2.050195362590641,1.7974178503648726,1.6758601927995487,1.204076368072559,0.9696109967640825,1.0471430343293577,0.8916599126582143,0.9331477557927292,0.856073605989309,1.0123185676359687,0.9805670845148298,0.9294722705838632,0.8435155270339103,0.8548005474730876,0.9305021011314526,1.1721761137276352,1.3653983415020665,1.3329844379135507,1.3172785151551476,1.5567694497456925,1.8623503167866602,1.6082578867513655,1.5177216503934041,1.3008921763622956,1.1302262994570087,1.0209274970367106,1.0213816458681415,1.0950855891978106,1.0373728963527313,1.0123906777416554,1.1699441257110745,1.149528497660888,1.116472471951299,1.4188998034916926,1.697984490847363,1.3462870384858543,1.4988397178005664,1.7936512735588235,1.8653927346907717,1.6377283069568647,1.3425272390134337,1.7900066856689927,1.6631501522990813,1.5124896873413571,1.3478179922822442,1.1794047750865293,1.378406181434603,1.3801043088382265,1.0767121456761681,1.1762117097469047,1.1405799784351627,1.0014338100095466,0.7244733391644002,0.719310305592713,0.7206313690719736,1.390014500342093,0.7479024868133751,0.6727324039932051,1.2543997965584845,0.7739925214322715,1.2746896597216748,0.7772441482944278,1.1367867434794836,0.7576350898666451,1.0882261942524272,1.0500170714983053,1.6841008574227707,2.5757797563778713,2.914964872281628],[0.7690158422192939,0.7287470202532372,0.905204151584551,0.7048524883371884,0.7003509663159071,0.651943532197183,0.6004209143828246,0.6297861382316852,0.6925745905847714,0.7288112587619436,0.7953920279662852,0.7826351428231857,0.7746290160557312,0.8117857577476738,0.8384019869917028,0.8070320107320533,0.8389367672193596,0.8791545002675657,0.9628253023202619,0.9524107099461852,1.1066965366835564,1.0744185830620208,1.2221024994570893,1.3419921963104553,1.2300496488648223,1.0688189698446284,0.9404488224310881,0.7782241787631247,0.7887624815914472,0.7610469942555865,0.8765188549713244,0.7788702198832034,0.8258216769591649,0.8440938966806796,0.8113563433275265,0.8389148180059147,0.7305203483052775,0.7947489095338152,0.7603712832815712,0.863800232995745,0.9221254601356172,0.9343919749207347,0.9751718785105473,1.148463574569708,1.2992933731634038,1.7438963742256393,2.046589914667775,1.4188860170002253,1.862490180335409,2.4729892581752595,1.4354734791332793,2.114289149002561,1.1310642086825633,0.9954580380347922,1.0582298994714543,1.1381031235569878,1.112302324087026,0.9203415098974705,1.0039127394276177,1.6769876912857438,1.130784048071447,1.1166537069000615,1.0881100579555942,1.2590512360317485,1.1707085233645875,1.0854405282642032,1.2597380354743293,1.011512058634516,1.1127596362020842,1.1246842631505805,1.262751759653336,1.5314567294695092,1.2499792748537688,1.375330026451183,1.1098548447876178,1.5241668980598004,0.9986340417595162,0.9534537348839495,0.9116152860599417,0.914643743802367,0.8272535034315489,0.8295647915056826,0.8728238972822839,1.085067491481218,1.057952265022335,0.7372812652550191,0.792754884876306,0.7949024891626737,0.8850368275003583,0.9102057923921647,0.9121902969040694,1.1321952714838417,1.050232434183357,0.9392670170159471,0.8965587117376898,1.0274812328154375,1.008519400023244,0.834240118676495,0.7770095154977702,0.7606892697378341,0.7415069323247995,0.6817504265309406,0.6753378793384403,0.6599352684694115,1.0259147765446877,0.6700703701391447,0.7097295107777918,0.787265848658197,0.6837752623877931,0.6919947972311307,0.6276522614608667,0.5655119645612549,0.5714907608495604,0.6082188803832654,0.7220162885147894,0.7000017689396973,0.7646292254722943,0.7885309803409891,1.0357956762323492,0.9235130567369153,0.996007330644796,0.9239898463068204,0.8509275242064025,0.7249960043985171,0.6366080522495028,0.5523727127567161,0.5991537252020253,0.6011111384752638,0.6084106901776245,0.6709669356893269,0.7356546635070952,0.8098969103328628,0.9849418016537507,0.8001418633361186,0.81007795337012,0.8516201359847209,0.8085055575467552,0.7978689204118143,0.6617254295195151,0.8043288088233427,0.7737366837779678,1.0623377093178257,0.8052890972391576,0.7345578788910501,0.744400571546533,0.6940449133996611,0.6675960394796937,0.6741720633027944,0.6164553713664307,0.643913357947981,0.6240127671769864,0.703941765953316,0.7907784092679397,1.272938684614234,0.9647636613837439,0.6539730441932287,0.6570293095166789,0.6212448476855226,0.6563750491548827,0.6347142886796303,0.632649629001619,0.6619847146429901,0.6953448826304597,0.789357705949492,0.850998984451523,0.8911967408609104,1.061407661740541,1.4201943781527047,1.6321094181482698,1.3146631243490317,1.326024811869875,0.844624338876806,0.804948877670165,0.7260537138989348,0.6766097637242303,0.6394297293415323,0.713939625860204,0.7100674892307137,0.7528224247483503,0.6916154588892686,0.8107521968776618,0.7000577550801997,0.8733552730131794,0.9886239527139596,0.9943186991825792,0.9475076606589024,0.9735805364078386,1.4385050880834598,2.9747478942529018,1.5658795210235217,2.727497659461163,2.727591880190634,2.2398042024270883,1.8432483818704248,1.569025141050435,1.6845960133662874,1.2365173490797041,1.106198835386614,1.051080184587152,0.7976862950083791,0.8708978413956362,0.7167333872010917,0.6761321585842497,0.8167816343582621,0.8402397360871844,0.962576769209195,1.004948041886149,1.0437740296023719,1.1375431221118244,1.423598884110025,1.3983302686076153,1.4818697549335955,1.7349763696598843,1.7085607970619887,1.819574233075647,1.5137444036730445,1.5937217040227207,1.3760737742049927,1.2063680690954741,1.2617376239796783,1.3633923623949191,1.6410512156437824,1.574850526726739,1.4729114708515625,1.299500402047301,1.2592381298760336,1.0689748197026407,1.4937664381899214,1.5482777571236335,1.2584761932941209,1.370764226238345,1.8938876906598272,1.7848748922731492,1.5099569335548615,1.6326583365754264,2.1146767113385265,1.8995872609053037,1.7123243372233978,1.2536943823319242,1.022013546129521,1.1085027769870055,0.913348284100773,0.9780151243932329,0.8392954294614432,1.0391221580196537,0.9636705918632402,0.8699327118548494,0.7526865489285832,0.7850137900007287,0.8660129213347297,1.0726297109884355,1.270119415259654,1.2515115835533979,1.2200048427763286,1.4367103545586575,1.7580720233044091,1.511004649060966,1.4047920869667037,1.2194995521942198,1.0644103443202162,0.9759771488700708,1.0366944816797032,1.0793215299974677,1.0193929730189537,1.046253425575308,1.2130955447063254,1.1776376562861144,1.1525474723265672,1.5036152263893825,1.7693485179905566,1.3815651210919706,1.542885033982299,1.9032838336252047,1.956809197206941,1.670790403074797,1.3245433744455746,1.798409347724785,1.6727730709780062,1.5257118687762674,1.3987607410161478,1.203168917712576,1.4073523450586478,1.4778724541665835,1.1322778661264925,1.1559691247757948,1.061539239435346,0.967307257837594,0.7645513398767553,0.7098617367027396,0.6920223446774155,1.4693045145573456,0.7265788161395306,0.6685326626889934,1.2217653786446392,0.761356815444401,1.3473982228744024,0.7652645793153313,1.092614392991302,0.7095134458764427,1.0879186735821276,1.0392443341766833,1.64904982271114,2.5539438436968287,2.8592546634147897],[0.7489251942135927,0.7346280303462197,0.8567079873736846,0.78735789970219,0.9105591050769227,0.8714948787619543,0.887945508620966,0.9446152246416153,1.0248686292654356,1.0772147212037917,1.1722972732667283,1.1540044215762884,1.1322902866491436,1.1888266333492399,1.2025556099477528,1.1704621235611865,1.1743873348551177,1.2023106896185403,1.2565608807227187,1.235809691489282,1.3622795811996142,1.3143500877147047,1.4197539681280062,1.5003106268122763,1.408837262992228,1.2979136286186403,1.1832455122598868,1.0572877648662422,1.0958195601676928,1.090907321655877,1.2217923152561792,1.1382420168695657,1.199626897242362,1.187244880131638,1.1479446815992538,1.1644999197087873,1.0411637794598083,1.0479818899659858,0.9972037424005695,1.0194678929000947,1.0973767150089278,1.1665485395785509,1.208698468629051,1.3032763199323707,1.4030122675518972,1.8527478339145622,2.079795411825577,1.5085190969183235,2.006608635717375,2.4773269465810785,1.5103258341635215,2.241980570497159,1.2583682868547763,1.0946154882009236,1.0964612796004674,1.3191871386573706,1.2801837310610062,1.129279235949645,1.228966358675237,1.8304990800491117,1.3377784880915609,1.365516443268032,1.365521967359945,1.4928601557560555,1.4072297717906217,1.3539859186592642,1.5166932892842708,1.326227575433058,1.400452179350573,1.4534387681817158,1.5224553868418358,1.7230117147491901,1.534773450530456,1.6535540403251652,1.406862551675655,1.8436103408454168,1.304233127496321,1.27716141822203,1.2147294404592226,1.181584557369085,1.0976323529746859,1.0539254966391225,1.123728035273833,1.281485522799652,1.2985838876080706,1.0117924522514772,1.0462851360628103,1.0879734131726506,1.1911322405884242,1.2291389574628448,1.2432793285817316,1.447111609431065,1.3875458077341138,1.2964370923709712,1.2510079575106152,1.3939912022976642,1.3375089322403029,1.1959020547906534,1.159654799401668,1.153738332689531,1.1155907302890145,1.0346954409033744,1.022226617236112,0.9397028918941028,1.2164273013717575,0.8483842099472052,0.8233637432214298,0.8731139181754661,0.7735233839332817,0.8382872186098178,0.8079565663136536,0.8031266777320546,0.8743842531555158,0.8929879732577977,1.0356843003678085,0.9806832146837073,1.0640764529121327,1.036503759224008,1.265308767900287,1.2376513133414668,1.3028519147206539,1.237656513322981,1.1258425725905947,1.0380654046801696,0.9759578742999647,0.8109658200021461,0.8198442685066003,0.8096359991330401,0.7505651527158319,0.8346566801134051,0.7531146274631563,0.7886078342227495,0.9493083231522341,0.8601269425780544,0.8739059777695544,1.0191334817556414,0.9113543362653154,0.8336650714169935,0.7825838307771446,1.0175057572343467,0.9360407363275505,1.164416102341689,1.020925642821467,0.9508083278209544,0.9478623528984966,0.9627259191020038,0.9445263432419753,0.9997319479531306,0.934334108714728,0.9734167827499144,0.9365604525244721,1.0557571585967414,1.0817339947598024,1.5178419920305437,1.2778676853511606,1.026997609973456,1.0325047755443721,0.969297285148695,1.0074485695300595,0.9061317558431117,0.866486391625108,0.9300608114395289,0.9269877867648834,1.0052608142079134,0.9596603232410935,0.9714124314358084,1.0922290329656006,1.373854582372203,1.631574982300331,1.4228740982956043,1.4587657898321988,0.97970717845017,0.9609316127663211,0.8711397347140966,0.8863734216083228,0.8553442499896012,1.007199320045037,0.9797434711235087,0.9620080757988755,0.8497552204062466,0.9697826528971808,0.8322145333638844,0.8987589300675977,0.9656845087042225,0.9628573068072448,1.0333652125575223,1.1014807947513283,1.4987469851411168,3.254779004507889,1.6914007834037523,2.8343634553028565,2.904789258646837,2.2494522134669674,1.80184297325198,1.4707448056495918,1.5219264679060869,1.129316865063929,0.9764369840142154,0.9207723879774762,0.7343030978265567,0.7915675885005145,0.7712756668673594,0.7694293217762417,0.8321639226078571,0.8868758203755179,1.1317647424773134,1.1112402017176428,1.1121951593995527,1.3087790422509937,1.5992588834416506,1.516087217821473,1.6134773408517984,1.91778924006095,1.8385100172209718,1.886310874722304,1.54657591527291,1.6618697516123884,1.3427138813941728,1.1975171284423716,1.268407874526239,1.2389103904116674,1.5193647778817427,1.3901142374473983,1.4587175277574602,1.192131604586711,1.105130015071909,0.9642542648357288,1.2746858255140059,1.3246625565263277,1.1135544442441838,1.1659380389267895,1.6525460005964578,1.5735396123547642,1.308792607022764,1.4444085160458002,1.915574367922462,1.7072058938757546,1.5541939994225586,1.0985700958100755,0.8904562798373165,0.946570238744587,0.8497738340001181,0.9845392507273041,0.8822241043689543,1.1236407122168166,1.020845972599106,0.9019836628776627,0.9029337241467367,0.9483405134498847,1.054170728584163,1.3165449949127506,1.5386944354732661,1.4895764960228397,1.42421930584099,1.6851746199100506,1.9991982871970992,1.7021389782584349,1.580140393213229,1.3441540664981626,1.1607654436837633,1.067879876307237,1.00087015972304,1.0564505908021895,1.0457040271171099,0.9686075527000599,1.0926874577721737,1.095729265805455,1.0447276721370815,1.3207279418970161,1.5889237331260653,1.2614793382032603,1.4017139755242976,1.7181682419866593,1.8109496159259038,1.5627609018551492,1.2676338418751731,1.740679720748187,1.623414197659289,1.4741768103126554,1.3788457962481742,1.2176131158616055,1.4742162703104715,1.4684243423333572,1.1350829413007697,1.1457058066155161,1.0273420321100963,0.9321415897444051,0.8417487770404282,0.6945823259002475,0.8514293434284518,1.6884160043840932,0.7332858870036763,0.7501713460392426,1.3057592254328136,0.8528838386406868,1.5555453505566301,0.9061487018912796,1.0944160505141276,0.7863221846639182,1.0171475871159534,1.0988404878014277,1.8077361330007329,2.7250431551898875,2.9368729263776334],[0.7046732563627378,0.7260457036693698,0.8057272490133366,0.7466549191278519,0.9058352756519228,0.7951521862968864,0.7608240471573097,0.7961926236627969,0.8337665054278338,0.8526194603661293,0.8991954535915955,0.9027257680424908,0.8934430682754754,0.9083661026813442,0.9156752257855693,0.8999336957941297,0.9190090833492776,0.941019906237972,1.0040558419997934,0.9903510398935844,1.1178316696051882,1.0915097627401784,1.1927965471539783,1.277825185533137,1.2238562194703235,1.0823918199958749,1.0082789122785685,0.860334297550497,0.8721705583146633,0.8625619924077358,0.9491840496782264,0.8810741763320841,0.928749312719299,0.9190347851517141,0.8951810845760313,0.9171903149686564,0.8300080539085438,0.8609495417244544,0.846768574833783,0.9123484851961267,1.0065734187586344,0.9882766512102117,1.0111766914258662,1.1921482961040741,1.242157944193394,1.6889537528406335,1.912323421956202,1.3042889906046193,1.918647889563137,2.417259426334354,1.3836874983200231,2.0624584957526855,1.0956601056182784,1.0111682788892098,1.0941883684260252,1.118729310437513,1.0953476912709017,0.963140447587341,1.0387117011904288,1.639215954219757,1.1447474513903773,1.1318101399909386,1.1015250591403924,1.2141749810033884,1.1687043356676017,1.1212990534699683,1.2210240882390446,1.0311440729910144,1.1035676576776283,1.1448567312423696,1.2455868462882265,1.4562238670906125,1.2295476239691088,1.3314453942827418,1.1185077754799317,1.5232865672062503,1.0251366694568673,0.9893505418872245,0.950234057381567,0.935223949461771,0.9221052309392292,0.917525574745851,0.9868180962257344,1.1266580610729688,1.1576073672986376,0.8488249162747157,0.8709536911760298,0.8982884109844788,0.948314215920732,0.9760621100351593,0.9664121633675921,1.155938906102814,1.1057576439574015,1.001256214029571,0.9621665948278976,1.0806363342808671,1.0593318075614906,0.9295270958772553,0.8996635613915489,0.9169958377057528,0.8874534994024805,0.8634028958448774,0.832732723470205,0.8066657525673298,1.0933865547701749,0.7741377859622575,0.7869882306857989,0.8568740294274971,0.7618405496383154,0.8074267101214819,0.763537554071134,0.7227879286138689,0.746585507629925,0.7611837546429835,0.8484402537442365,0.817407522915002,0.8623118166367414,0.8665015003632586,1.081724265239267,0.9759066021963869,1.0257954846193422,0.9986562969959072,0.9409526595348132,0.8452276241598642,0.8007599503331133,0.7084967567080412,0.7464933657599406,0.7509722992527404,0.715824062503568,0.7813291568750498,0.7247518770323677,0.746346762057329,0.8856535539020746,0.7760160709453477,0.8012027399859358,0.936660810564953,0.9017211599937588,0.7919799295269971,0.714149335020409,0.9039231134220514,0.8484656935257014,1.1053632478052753,0.8900533211907831,0.8156195425622923,0.8164602592342797,0.8039846828736992,0.7791733933964411,0.8145566849577703,0.7777785009332023,0.8064605818108529,0.8116490663764998,0.8813293432216149,0.9262519840858972,1.4026215521670293,1.1199714908601,0.8297040259795706,0.8292985307841974,0.8080613416008687,0.8105470220476507,0.774218381377291,0.7516451081220398,0.7712318160107028,0.7867448831617364,0.8684050451034715,0.848454041034073,0.8689022205578938,1.0437407264538539,1.3808882678468528,1.6738571415805261,1.4522496903708686,1.4599165214625534,0.9430390483067757,0.8929451628052727,0.7884843812339785,0.7673193645139265,0.742548433093989,0.8426500182366986,0.850742990286416,0.8411194352134325,0.759476161253981,0.8740027421833134,0.74440522233656,0.8260819966080724,0.8919054715695477,0.9020841493549433,0.9192682304672812,0.991067421625209,1.3927448200903487,3.036590782047516,1.5284882199075467,2.6744714307368938,2.752900657813252,2.1341250141077723,1.7147890926768106,1.3725871918175072,1.4224659084173314,1.0801390096344448,0.9219229929185593,0.8921058771085149,0.7286790464098939,0.7932128430109086,0.8009058809242762,0.7904349515466883,0.8639911451423649,0.9354931502629371,1.1803673974914417,1.1574414669903554,1.1630784819883484,1.371037016401957,1.6458895231319066,1.567580767899776,1.6623310422532405,1.9526872809021272,1.8733313855663416,1.9036200058736665,1.5773749339341196,1.6925456748066194,1.34878675563638,1.2213866845747927,1.2983710062062817,1.1916198290076643,1.4651975093377936,1.3027853351700405,1.5242966343887001,1.1783957380486185,1.068284158069431,0.962434155561259,1.1749419991751886,1.2115872153685705,1.066600867047184,1.0848239743770647,1.5011430944390043,1.4561668901132725,1.2115252261222518,1.3366758461697734,1.7926512023057781,1.5826459807060773,1.4916847251675143,1.045207920723617,0.849233172799801,0.9013198513580463,0.8590160832888877,0.9966411383458957,0.9174258696615033,1.157304632992514,1.0565166690239707,0.9172647417396618,0.931254474198248,0.968990150508904,1.1089018215992317,1.371768864327646,1.5853316352847424,1.5403475369761952,1.4825813543771187,1.7323558277424738,2.0367400026820515,1.7521912753700772,1.6368173699018769,1.4057378568144445,1.2251750131193127,1.132459999569714,1.0408753381806237,1.0885656667335561,1.092484446031519,0.9832152777482737,1.0694018251775417,1.0906719273566903,1.025069069664631,1.227668897753798,1.470966135497903,1.2137699143037437,1.330405908748167,1.578022561721122,1.6902027246388516,1.4950057365459857,1.2565315864755833,1.7091261623901273,1.6168503451841012,1.4738060526376213,1.4029690520142086,1.2501304554119865,1.5069821607412857,1.493064968086247,1.1617805470883447,1.180272986970764,1.052173485104661,0.9603598108213195,0.8658221827882523,0.7051258860795245,0.8599182331942017,1.7089239315715883,0.7249504084507653,0.7497937486107097,1.3121210507574448,0.8410554582330775,1.5809119548440744,0.8693251378721477,1.0585256946526032,0.7446634743309489,0.9633668614502784,1.0614323854680188,1.7594275864337263,2.6781629962664506,2.8683366324021313],[0.615046436476101,0.6353626181004984,0.6343281702501177,0.5638666234106564,0.8066441913206828,0.6569669481599643,0.6514393157155566,0.6643183211180422,0.6905510936495924,0.6915148424766351,0.7355443006850495,0.722178916973604,0.7393926572184712,0.730729266495184,0.7505922357528743,0.732501915526743,0.7622178915018851,0.7568295807341515,0.7966217460693132,0.8098007572766749,0.9336794403511526,0.9219128223261396,1.0636722314731353,1.1835494028244338,1.112011471311192,0.914793222909884,0.8297302969284619,0.6929522158183818,0.7017414997063725,0.6986172094248104,0.7668515307997221,0.7185811445143071,0.7419010907709807,0.7435563676852328,0.7265588145639265,0.7290391334489895,0.6907528773572006,0.7389004061246172,0.6965717056854765,0.8141326316603442,0.8872817785915689,0.8074952884590473,0.844795837887377,1.0260752634915467,1.1804773706071612,1.6428885883410935,1.9135080743102797,1.297936070686493,1.7904351268590297,2.4185645788326986,1.347008873751312,2.046957705673831,1.0582095941986693,0.9446904968271992,1.0396360080107745,1.0177154019264127,0.9804800483951104,0.816664785236881,0.8659625602620359,1.5461132704389902,0.9873459417220856,0.950315777668218,0.9356184290990927,1.0595573510367569,0.983046403282005,0.9347953485535412,1.054931410912359,0.8288254880060403,0.9138153639795256,0.9527823523124254,1.0998073607343763,1.3640899771848962,1.0702202126752904,1.175766067899209,0.9338109709358454,1.31825287225923,0.8335166926278877,0.7986190837807154,0.7735702348107711,0.7946709130474711,0.7459919842851397,0.7640629312808924,0.8208063606137262,1.0399037679967964,1.0115012928049987,0.6886492102433407,0.714112568789076,0.7270263701703971,0.7566929170910618,0.8002459689689766,0.773104443823488,0.980464345551361,0.9075846849451072,0.819337238824934,0.7946894724839312,0.9030867139630157,0.9316515341585164,0.7538131738309705,0.7098624511706138,0.7148833083503651,0.7106022567963259,0.7123633705215047,0.6747972978818875,0.7172298319293796,1.0909074672581194,0.7088715891350643,0.7454770307168227,0.8300915627163356,0.7314920589045398,0.7564022864471759,0.7171850413995249,0.6102242123860402,0.6134811156856397,0.6415361207202765,0.7029715502785634,0.6699566723114171,0.6948795369879852,0.6955459486740773,0.9014399112438604,0.7864260185201289,0.8653405583878997,0.8219199304250121,0.7697657438866378,0.7144794152089236,0.6617126972850933,0.5881186049966017,0.7113414499121572,0.6726667794662424,0.6802551234926374,0.7327875898603023,0.7362798913890621,0.7800021376539221,0.951264153420984,0.8182952614009177,0.825448251297706,0.8827356988827006,0.8334654684265631,0.7825724646611262,0.6503886225679064,0.7573784280799385,0.7138703558240678,1.0097852191584271,0.7349297832767132,0.6873260494165241,0.7029178015721997,0.6430309732744764,0.6308613418126126,0.6676502172461509,0.6397634827667249,0.6711477201945957,0.6807855237554931,0.7148357254467745,0.7417571601221692,1.1878227429854298,0.9177339139158603,0.6506016535930303,0.6472569938025956,0.6584336941877099,0.656329071398341,0.6717919585341812,0.6410094949227736,0.6461350093478303,0.6720236343507637,0.7493223471292801,0.8232810662099113,0.8568689250059399,1.0028228911726544,1.3567361917639524,1.6115138323891434,1.3308882256451557,1.3511989044899388,0.8211686025277021,0.7833103397855016,0.7096209836225456,0.6717723770739117,0.652335303646917,0.7081643279359199,0.7061222602855983,0.7402346614116995,0.6859371402445059,0.7882544470331229,0.712085404705546,0.851278844854919,0.9471901897523306,0.954587632662393,0.913886512699731,0.9350605457644804,1.3840754866249743,2.933156385554949,1.5026169810291914,2.7022016130353284,2.7344841931965025,2.1971620317274874,1.789260502960705,1.475035304008424,1.5416025642516011,1.136719018459471,0.9832806403380168,0.9123998520231277,0.7252823242575572,0.7716127405710015,0.758032367059136,0.7397715539997781,0.8083551643604642,0.8592534842755499,1.1011745055460684,1.1074776069752612,1.0831660186345249,1.2572256787687424,1.5763506453701595,1.509870417242873,1.568560656979581,1.8425827035321292,1.8215861460524008,1.8497033106558325,1.5462065409375108,1.5866329068530196,1.286699084551164,1.1382887260694419,1.1968622885350482,1.1190672658841276,1.418849903947056,1.286493581276831,1.4462965402160575,1.1533232130049937,1.0530917591901032,0.9342655573047814,1.2336196295662694,1.2452667344179966,1.054468429930735,1.1361896788462753,1.5845246991814226,1.4715748643231636,1.2529253051108638,1.4136463414336227,1.8253540977586464,1.6081984122451998,1.5150377002892295,1.0595056810345498,0.9031787678066663,0.9588080823091107,0.8615711986646701,1.0397156299941925,0.8859466745725896,1.163732800979506,1.054571513159875,0.7922557258832466,0.8036972543647666,0.8893417925950456,1.002105225844649,1.2199300924381857,1.425762358974057,1.4021742371942034,1.3320435870561496,1.5456828300864889,1.8666755362766891,1.5962931502628497,1.4576026014126704,1.252572412272006,1.0857027536739485,1.0198592439486927,0.9583357016094781,0.9798432175278282,0.9977298382740746,0.9221020754822852,1.0154181583093713,1.0215626556676853,0.9709547935743712,1.2182423778373193,1.4181604872468867,1.1294712971245637,1.2951684017100922,1.5757744266047484,1.6415367205044933,1.418220754031938,1.153067329692561,1.681202368757341,1.5866980743377488,1.407601723691327,1.3952369211197542,1.2108240151333913,1.5145397742429993,1.5656820265053266,1.1800067463980128,1.1102013530551378,0.8826840209618191,0.8601653018769511,0.8739264587343307,0.6778160897041712,0.7644559716042623,1.728685522622599,0.7462237339202562,0.7533439539398948,1.2825285649744493,0.8938661753278397,1.611687522898693,0.8126069596321099,1.008122404987762,0.6268180514256014,0.9121921365585984,0.9558010410492619,1.5533958846907683,2.459677271005933,2.7192838052403623],[0.6387914633649296,0.6812307710299301,0.6794784624778315,0.6265641782955934,0.9186569140412062,0.7823586057260553,0.8236898188574091,0.862607056153118,0.8955738793624871,0.9333585545428089,0.9861842607492376,0.9770869382453347,1.0051478899240585,1.0085509368100445,1.037031775248857,1.0271271444861774,1.0572834313647634,1.07430797313721,1.119340820645615,1.1325816895909457,1.2385925374355269,1.2284502674291073,1.3026932981760195,1.4221971335848398,1.3450682530228957,1.208251818189643,1.132093721296087,1.0028517412742801,1.0155843542034204,1.0100848396446414,1.0684269415174945,1.017661929867889,1.0652683760231303,1.063889119979755,1.0414322612214544,1.0543339931006819,0.9885635125686022,1.0182946473471743,0.9913163200123549,1.0734751313928972,1.1194089712505808,1.1098979376180373,1.166053968654389,1.304801106917247,1.3796801669459373,1.7889263647099336,2.0735485753143097,1.496269700922302,1.9308497424138444,2.4590367924314234,1.5331789167382377,2.2513264692863446,1.306879267512721,1.1526481397118384,1.1852261633730068,1.3356488455311541,1.269672929926242,1.0920084900900784,1.1894484235489504,1.8205544544549703,1.2691124536042493,1.259665092873329,1.2415028333644988,1.3466063795811758,1.2877176686638938,1.2315728640928127,1.3631008022294602,1.1640867941869009,1.217612989592706,1.2453873201050034,1.3454024860907383,1.5950802412992349,1.3456433333622444,1.4735359596559556,1.2394147654339562,1.6125639721289302,1.1655301951128125,1.141051738235137,1.113536924938963,1.1064008341722749,1.0483194337765012,1.0631415863437563,1.0842540506251652,1.295841077528521,1.2743273385628837,0.9984830583681011,1.0085189950144078,1.0433383733095658,1.0895419400994928,1.1190208551553762,1.1000636235936616,1.283174876936448,1.1968465994612103,1.129095394790836,1.0898510287499639,1.1963497862087635,1.1936509767181864,1.0433145761973548,1.0007761355675275,0.9705322785251288,1.0052585869521198,0.9760850135277509,0.95078942157726,0.9492718479860396,1.336086343004282,0.9042554990219317,0.9295967833396913,0.9850051709855112,0.8777978238611963,0.9186203243345474,0.8784174645710455,0.8171212781496996,0.840992165645465,0.8841998506769495,0.9581795624672416,0.9401406472238457,1.0002496370803333,0.9879509690257419,1.1792276941613031,1.0969734919305145,1.1594785720754284,1.1015022195977937,1.030707953444058,0.9565278648620943,0.8785519543912989,0.8037823773214934,0.8357497297854282,0.8599817441352781,0.8571136598154268,0.9430571549592734,0.8804738569257112,0.932007460726097,1.1007715736314667,1.0202546556364525,1.0218565207755412,1.0936576220335403,0.9426680287338874,0.9151659131444676,0.8429422541381001,1.0322217632788013,0.9541933489544411,1.1942406001703028,0.9932646542622829,0.9590844576040697,0.9653330820013474,0.9410686705182342,0.9284600790315197,0.9551503422480135,0.9100830779707618,0.902427688962335,0.8984437629151895,0.9200761987669788,0.9047778139064044,1.2945588763298004,1.0853744134085646,0.8882812505761619,0.909739649968809,0.9063753663755608,0.9280381083038095,0.9114593143238187,0.90467128845326,0.9344698525650715,0.9588579262948953,1.0312269765863669,1.0736229517687186,1.0580473474569438,1.1259213659409166,1.3706095965779863,1.5899960361431982,1.4158912747208179,1.4457268835365087,1.0143776843945618,1.0048413406753385,0.9435285095005419,0.9407838189487118,0.9207792857243824,0.9709919908246019,0.9599358193020258,1.0126070212800207,0.9370861307207297,1.0413891949824448,0.9391013695032108,1.034530158209353,1.0917737086501138,1.0875234031189174,1.151947695924079,1.183563154756935,1.5814349537442882,3.297800564612609,1.8444911109313593,2.9790202479453622,3.0596888574776617,2.3736417387982174,1.9133095066268209,1.5864110815672394,1.6011126669911464,1.1840213062004319,1.0352739538256153,0.9468641422893004,0.7996533892442355,0.8319436154166141,0.856195926504877,0.8490221232144582,0.8776794640537006,0.9231937466942671,1.1754685405851628,1.1662193607328382,1.125585065275185,1.3030705440128973,1.609417678165638,1.5286804705296726,1.5817391317384568,1.856497610333695,1.8247831863859867,1.8345368270163405,1.5413266844340092,1.5896569147697224,1.2918039807642085,1.1511747734209112,1.2039016537225633,1.1030919602497675,1.4009649877083392,1.2649412106256206,1.464976691029706,1.1647417083354619,1.0597942368209385,0.9634129007195076,1.2325186056945272,1.2325701469774262,1.0564636245879384,1.141135045528617,1.5667486281593257,1.4250482948645744,1.2253142844040055,1.4032328917383516,1.7560788615974026,1.5644714023986712,1.460252908832439,1.0630055962312523,0.9694565715337011,1.0107956022627853,0.9397026480869421,1.1418361535666282,0.9731073248137616,1.2724572271135801,1.1293482727605901,0.8619784016191638,0.8991742948105118,0.984495467731279,1.0817418419321332,1.2864337585437877,1.497191763166108,1.4566135370695144,1.3720196378405085,1.5865404776560659,1.8911854276632087,1.61526639354643,1.475449123658718,1.2767545260737183,1.1163530033534863,1.0660360533581816,0.9986751553674811,0.9930285110964006,1.028478506919897,0.9469496235528835,1.0149301811554656,1.0276651310477378,0.9746852851657667,1.1894753051717852,1.376790826243122,1.104532342576384,1.2542566982640764,1.5318337406611076,1.6076783142691204,1.3891930529020622,1.147636540405831,1.7006332982629904,1.6065432423234884,1.4160248330179988,1.4113736063538518,1.2344057855311155,1.5296784590791452,1.5766968983581418,1.2191760133192293,1.1412930888455934,0.887219942323204,0.882206841325766,0.9830501422988089,0.7746053366622465,0.9054815117898813,1.8356088047034418,0.8206726729790326,0.8365689006078644,1.353046396367628,1.0290264927441126,1.706621068045894,0.9432183556474181,1.0960291399954305,0.7287675787358434,0.9510769897677122,1.0613541004226985,1.7244176069605444,2.6119865745719135,2.8502759398461888],[0.6892338364293449,0.7651879389841627,0.77883870788306,0.7232736914360034,1.040670117148565,0.9047766868616952,0.9617165266923082,1.0116230474029246,1.028448075206835,1.0633025647120395,1.094669203322158,1.0974727991366056,1.1390876847068985,1.1126171511838883,1.1260757497661902,1.139901770662215,1.1750225323351216,1.1694658045722368,1.1902489551081796,1.2224480538379396,1.2972972237763971,1.2842238154738137,1.3246926098911926,1.4507644014144625,1.3930032326075283,1.2761785023833223,1.2383112766981799,1.11906001831707,1.133091977720336,1.144043895124745,1.1594439434972064,1.1447841172796471,1.1811009573310796,1.1652137966062603,1.1587843697501141,1.1678173882083676,1.1228136582527475,1.1350537139874526,1.1187984140855487,1.1748670394379312,1.2109501157858693,1.2038153026827059,1.2529961471830626,1.3737795886592017,1.3988833250724928,1.8092719089927405,2.0380005644716706,1.5154967676695725,2.0257630743121497,2.479965345707489,1.563166723911496,2.321274873359695,1.369496509019865,1.217985884776076,1.2413923641016542,1.403261435613325,1.3325838991016967,1.1739947770368406,1.2606547844045783,1.8512343240482794,1.3197187459093187,1.3161231363716017,1.3075360537916045,1.3783822627511924,1.332292424495146,1.3009942523748481,1.409350510708075,1.231610779320442,1.2590595619162055,1.292879855134962,1.374842300405666,1.6019732175413648,1.366149767268014,1.4940825400102564,1.2884208360487417,1.656737367401445,1.2302504234958103,1.2126321931127566,1.200682978129384,1.193639016095813,1.1617135814551165,1.181684889480706,1.2195495901564257,1.4160787304650235,1.403225806854914,1.1418099171801703,1.124249701543504,1.1723991155655877,1.1927984935531688,1.216479553985216,1.1833602307982563,1.337064600278265,1.2542632599476158,1.2060076705287717,1.1750944356018944,1.2600201473600257,1.2606731576589685,1.1511037423394619,1.127503968772852,1.1019458211594766,1.1495105019349097,1.1376350813209961,1.1140789681988654,1.116074580092064,1.4785414400244914,1.0736876030528701,1.09825854178344,1.1248147717681702,1.0357176481399584,1.0929755003881525,1.038417840545535,0.9932665994774662,1.014973973460189,1.0547329846889397,1.107524205764103,1.0903348897013074,1.136075679140936,1.1060493848827746,1.2453877370789344,1.1898621573285773,1.2482168001321563,1.208513511144245,1.1512358038301893,1.0958821233423348,1.024219735139671,0.9720475362761727,0.9635960128234979,1.0283177303111555,1.0178063996632496,1.1102967439033398,1.011491590731155,1.0583392635640758,1.199234031643859,1.158952175866478,1.1602411498577037,1.2449137538258397,1.0531972129615486,1.0146523220311146,0.9748184738448412,1.2026581224135464,1.0834683697219818,1.2765429337667364,1.0984061768759614,1.0920427052220572,1.0875996747113463,1.0832871017817818,1.0869167565132305,1.1161680846986406,1.0839584517336793,1.0637495253891696,1.061103829508836,1.0721077743142609,1.0385190814726337,1.4065541692181671,1.2159437977616516,1.0362240408890029,1.0591679051848557,1.074822830413906,1.0884904722371196,1.0778619593508543,1.0781697506611116,1.094502949870658,1.121155668957328,1.174789491243153,1.1861946944129367,1.1534509908179649,1.2164425048170564,1.4080206734340894,1.6381680709493855,1.53913496330638,1.569865334023558,1.161545666154712,1.151374148469282,1.0906640653301802,1.101635657482066,1.092394307977267,1.1314989908063238,1.1319671930665154,1.1635225759431398,1.0906941649316024,1.1956025840390423,1.096565450861072,1.1472694885428998,1.1711903039168308,1.1616864911957505,1.2601399417830188,1.2863124874313587,1.613428930626702,3.448300501014666,1.926779834855758,3.0324249354399178,3.182468238747734,2.4119861457932608,1.9390150504728279,1.599636163698371,1.57259875954024,1.2123571010575338,1.075762564938759,0.9951100399717362,0.8998508885491319,0.9140325526606116,0.9813440763831318,0.9811088988027558,0.9833022086072144,1.0336824617427318,1.2870156083208582,1.2484478589938912,1.1993533145170021,1.3897726621606348,1.6602455608031033,1.5667818680376313,1.6180252105728554,1.8869448848249335,1.8456889389062765,1.8230661477166095,1.543741678844145,1.6155568207255846,1.2971597010798674,1.190327031194627,1.2364308831912938,1.0914752476943228,1.3263095220808112,1.2082245340955644,1.526499027471617,1.19239829670063,1.0856557107144313,1.0403621941572305,1.1916739271256567,1.1586642029369711,1.0676900371167675,1.1273337525719083,1.476436016856263,1.3480876729426703,1.1818011526132115,1.3550404919478758,1.643432382750056,1.4750941938967987,1.4037847105269505,1.067212352129972,1.0310763438418244,1.0611408231616402,1.034014974624493,1.2481968157041319,1.0958894076757615,1.3783437363530342,1.2243628295059599,0.9939121488216363,1.0321546019932264,1.1058124140208503,1.2056656540731667,1.4027200400975932,1.6089822241065357,1.5500857384845932,1.461505507306687,1.6696289343684738,1.9325426444395721,1.6685971444025571,1.53781897115194,1.34771923732775,1.2048605452886247,1.1704696388331524,1.085517098183827,1.055974898648431,1.1048395636698785,1.00114253020588,1.026759165143007,1.048981915324665,0.9939293044117643,1.1281266450675582,1.2789294099346848,1.075686730663629,1.2072629841769893,1.4299199682494785,1.5188387514914732,1.3380693522591365,1.1458835345819194,1.671252787146904,1.6414369018597195,1.4133965127001673,1.417202397169321,1.2651941224190906,1.5491766808539609,1.5779163056590317,1.2504514930954977,1.1815450663491192,0.9349924260561066,0.9380896647219397,1.0870408359870534,0.8941544461024095,1.053695139857736,1.9341401441925503,0.9233925960555219,0.95158824049228,1.4504153321913595,1.1723520829067242,1.802666494675138,1.0750164195253515,1.1894114272597218,0.8509437763322105,1.040084871382756,1.1935102644528979,1.8930531880564054,2.7594730456271392,2.967995554197347],[0.6392752390344697,0.7345652819290425,0.7035190877237958,0.6467017253251336,0.9832327491464506,0.7712053800867742,0.7878330912745134,0.8042678069354595,0.7919979125964417,0.7906191403352028,0.805162499522192,0.80530146495226,0.8435358010698979,0.7950844499633468,0.808278835043911,0.8161952793852564,0.8552733966669456,0.8274574782143501,0.8248701954995539,0.868642036709558,0.9668383932896882,0.9671407159848954,1.0996279071384378,1.2038571941386427,1.1545939567995525,0.9612873689047762,0.8951769388738635,0.7832796487110768,0.8033942862685892,0.8177462637244157,0.823094758100088,0.8200646265152284,0.8344673317493647,0.8141816862604605,0.8187364150592061,0.818543083654706,0.8133411144173621,0.8445607257469611,0.8047663914709244,0.916123167403215,0.9441831547171088,0.8798028547003444,0.9220870597779525,1.074313097887886,1.207204947511483,1.6574756888444602,1.9366139059566796,1.3444973143701777,1.827499581932703,2.436119352073624,1.3916187094471824,2.1424568104326975,1.1459582621558635,1.0042002648550301,1.0756447656718005,1.144402028277936,1.0742011152827216,0.876100741256233,0.952816035680488,1.6234476867337826,1.0308575173349601,0.9991138861161303,0.9790736741291065,1.106220472872841,1.018058599316944,0.9728339200043897,1.070951199441398,0.8667633877399797,0.926249612461423,0.9555235976272983,1.1074051471122055,1.3957294628900552,1.0613993590136201,1.1688189641082831,0.9563421823244195,1.3101408727945631,0.8720531509750172,0.8512966903353906,0.8585597942569403,0.8947250087973637,0.8561760775892263,0.8921113944900486,0.9221963717858561,1.1693791893800627,1.1365550087442018,0.828041269631607,0.8146707747248498,0.84825435650154,0.843046549071927,0.8602048236223285,0.8153285988856159,1.0129210497346999,0.9260804754974022,0.866355451693726,0.8442910813657609,0.9480223837498656,0.9809517729646868,0.8230441126503067,0.8089434713760089,0.8134841471200799,0.8423187254883763,0.8760001683567677,0.8356537931178499,0.8942765863121444,1.326508783467851,0.880334585538194,0.9514712786998232,1.033407712730641,0.9379299387298948,0.9694107378268333,0.9277787190601767,0.813119927522611,0.8049118986355122,0.8345964109687907,0.8376128615941192,0.8109751195719607,0.8093801872698267,0.7829961042897781,0.9209559800918281,0.8423884466710548,0.9254456669251833,0.912888351362016,0.8712103355624387,0.8423303612047618,0.7881869283084313,0.7822547254044855,0.866350392809017,0.8942853815463648,0.9185219099741027,0.962976877838034,0.9302377220052481,0.9797855353337962,1.116582510347986,1.024149788836131,1.0301716123509395,1.0801928287586269,0.9581730669321165,0.8866193793309254,0.801384293818252,0.944238621790379,0.8029123938338854,1.0346523203175533,0.7925083056435175,0.7911606596043254,0.797018856456384,0.7631381067172286,0.7777393107412645,0.8291289220622986,0.8275308400700265,0.8235797078130263,0.856486894641752,0.8298985173836716,0.8119237666111978,1.1760342934576489,0.9759498202107666,0.7823733135998262,0.7856944675565924,0.8289178809210825,0.8099374246874029,0.8503061676282573,0.8274517865814545,0.8016121389184467,0.8339745000469195,0.9024298003832256,0.9649873597842843,0.9726004193035023,1.0852669214597144,1.3556012792406777,1.6142670270789072,1.4413628155582312,1.464686791117651,0.9746801841072394,0.9450293452086757,0.865608777035118,0.8405140567049052,0.8299905632217903,0.8522427307019781,0.8456194720182351,0.9025131319759185,0.8463813852019958,0.9524827746802708,0.9007261201091298,0.9999113929367537,1.0559720431995485,1.0389606307765853,1.0537093456397826,1.054898522642965,1.4612445885435152,3.154641149820466,1.6863101620316545,2.879535793475443,3.0038046844293955,2.3478771489759054,1.8967517672890666,1.5637681475845167,1.56474334298169,1.176054781300758,1.040557929802597,0.9790747092252959,0.8658866134279553,0.9138692098485814,0.9593757174814681,0.9570108320370609,0.9967623240009111,1.0378924609150677,1.281005859389973,1.2923738927564148,1.2349653381399912,1.3877064577081244,1.6790973267709546,1.6097801533681346,1.6405190818221258,1.882895148098997,1.8805974253368016,1.8583240918718418,1.610890387275713,1.6375279807597865,1.360087822714997,1.233396709348252,1.274314772060278,1.1120431641605697,1.3495753804103612,1.2306050123681447,1.5472853365056511,1.2237620162376979,1.104916059467645,1.0349835293371503,1.2103676177699458,1.19157227162483,1.0905761288195277,1.1266267718882945,1.482226442127228,1.3434232605569176,1.1816309347217746,1.3476541962520263,1.635646607244303,1.469107982145004,1.3860871525482155,1.0672346487436368,1.0010415943443638,1.03788916841687,1.021630802353833,1.2151023301651618,1.0580352352145677,1.3378175312697822,1.189276247132883,0.9287714801126207,0.9535112784850984,1.0525913069477248,1.171165762373248,1.3404091603219659,1.5256306469667877,1.5089218858963689,1.4321132997390633,1.6061773345271189,1.893918895812996,1.6515853929039863,1.5146671705435355,1.3482884992612205,1.2014087250064969,1.1567070439072793,1.087721613883202,1.0685761113015795,1.121518699064628,1.0208338953908558,1.0627407587114244,1.0870694382867412,1.026361655835031,1.1589200270480646,1.2857176441445315,1.0982309207641314,1.2176360047081671,1.4228206561862966,1.523632665940568,1.363497083690089,1.205672011353599,1.7489982832212112,1.7310954860610945,1.4809863648389012,1.515159757642288,1.345741857700881,1.6415763434261486,1.7081322038190452,1.3730652217972488,1.258833899795787,0.9580071083651269,0.9697455194946824,1.1325963527681255,0.8730445230059908,0.9958067598976873,1.949763060793199,0.8911734961560035,0.9202917248892996,1.3605908151712747,1.174400304112531,1.8437105285264297,1.0419013684294223,1.097043824081476,0.7738337696404023,0.9647803901264986,1.0771360026628896,1.6736718978134042,2.547323470244868,2.81284812754015],[0.680569662996045,0.7485586597462944,0.6856761262042607,0.6491487303173927,0.9553583044500387,0.754996186360358,0.7703232647076592,0.7881701594465971,0.7986718335175476,0.8163570564388446,0.8507366958925786,0.8378019570750915,0.879284594448022,0.8559670184496926,0.8871567139834142,0.8872366751423133,0.9196056694885434,0.9398969605637887,0.9793414325306482,1.004252948851994,1.11969267758048,1.1491809610350292,1.2699086416007537,1.3454403189653887,1.2727961519777113,1.1032237789302788,1.0167488344125628,0.8875355381265381,0.8953933100759427,0.8810695609262875,0.9243080034685713,0.8857629884601322,0.9133640566713465,0.9175164895857698,0.9116922690215447,0.9317837833833327,0.8837660648641263,0.9520653133494454,0.913198716252482,1.0565041576560505,1.0694137723336292,1.0197649206190216,1.0988431418606812,1.2637291483215674,1.3663677019084193,1.7578528030432137,2.1167412487358814,1.4948403682945477,1.8050411323914526,2.4369917800022085,1.5600476782521935,2.20178996266048,1.324687821245699,1.1478501141173847,1.2131317426873716,1.3175617291532664,1.231529618962421,1.0406617797927007,1.1562457936591637,1.819332120052624,1.231566190027126,1.1904853480922095,1.124111443285747,1.2886938747495162,1.2024794007982198,1.1094271257852244,1.215577665607196,1.0188156819105574,1.0718680195048111,1.0736186813682504,1.2268142491064178,1.5518072594532384,1.2063247678365752,1.34465214746369,1.0966894975822181,1.4165650961552496,1.0359887516792934,1.0090447985928257,1.0092152572802162,1.052025527350584,0.9870333763577549,1.0196742361010895,0.9781875380504418,1.2763892504562444,1.2096799087086807,0.9115453615588397,0.9276069329621663,0.9508833705871116,0.9783967179524635,0.9838122011374956,0.952416521547858,1.1319542688280466,1.0516076085523858,0.9738923596758442,0.9362127251369534,1.0450870650087998,1.0587359191039634,0.8883476203682397,0.8557325021864589,0.8297670651487524,0.8758673668667055,0.8747985347018271,0.8616245451610494,0.8910918749446253,1.3630014586941313,0.8769572164300177,0.9589146660981126,1.0377621729287287,0.9245769180271526,0.9451728904325313,0.9040178970852621,0.7912949726316743,0.7808917629945019,0.8210616103669799,0.8567831795369832,0.8417417479179009,0.8809154120809658,0.8739752062219562,1.0356551336718296,0.943696019002766,1.018477922396089,0.9816467179437443,0.9212543241200626,0.8573618217016573,0.7850004218862531,0.7538422586102111,0.8581032121781281,0.8650913906106996,0.9052895326398325,0.9585982346220813,0.9406986796142803,1.0173760350941667,1.1757554753313224,1.070040030245528,1.0590841520562662,1.0740743981089913,0.941835349045144,0.9114918627528092,0.8281220578958709,0.9602315700175145,0.8882556789265662,1.0996846023469335,0.8962506246920281,0.8731649985816244,0.9009079123110922,0.8420103789451843,0.8255672962525423,0.8454357936532645,0.8287674411664558,0.8160085126333418,0.8322467361336864,0.8181211519599138,0.8089035014091062,1.1599544187082598,0.9737492878563159,0.7861298211511205,0.8001469492239565,0.8173588679755931,0.8307217368913469,0.8563965534624365,0.8428600060082708,0.8478362188190406,0.8863166793889008,0.9757388172698491,1.0731231606403502,1.068276629280344,1.1305280904333364,1.371663061210226,1.560109223803315,1.3542965317824995,1.379981624090927,0.9817559344298432,0.9764583859183998,0.9288644007712322,0.8969922101232939,0.8673064660293743,0.8863754868798114,0.886245595407451,0.9764548746681879,0.92017610610133,1.0156295872594505,0.943713993233599,1.086035476269564,1.1648536642262517,1.1437474715476321,1.1770281035553707,1.1788318961512032,1.631499722829797,3.199769041185926,1.9224551494838231,3.0492109601922146,3.0884893319508144,2.465009572973233,2.0006175081711426,1.6956415285616016,1.7203108847573003,1.2379043238060785,1.1142677232767904,1.029900065907821,0.8907360701202374,0.9445172609457153,0.9586448470354481,0.9543651214862099,1.0038871238251004,1.03533854122034,1.2725702940061252,1.3220441254412814,1.2600003530798198,1.386799961803805,1.709682580920253,1.667631677184033,1.6917163945356508,1.9269467567460885,1.9513918532736987,1.9635320078868455,1.7036414934326403,1.6862418934589103,1.4395336259769114,1.2803947513484166,1.3237614182728314,1.1671232742888047,1.4932984582278377,1.3170180525163893,1.5240084771959592,1.265697311529217,1.1669221803606864,1.0626105189103654,1.3318836050569551,1.319277070975665,1.1455870740878196,1.219467186732916,1.6290598562495961,1.433166058702128,1.269611686314618,1.4539434112516039,1.7420348625632291,1.5590421706105329,1.4533004876177635,1.1321204970716978,1.0668251262719721,1.113258075416795,1.0459941900270064,1.2275332171202444,1.0692620277541272,1.3371699868387392,1.1890716564725388,0.922864668354778,0.9296732161902193,1.0334705835812867,1.1412995125433534,1.2977124522748145,1.4794638451265156,1.4867870381133967,1.4157353315368641,1.5842196801090842,1.902996036830316,1.6673564543899366,1.5208636243417972,1.3571019023403315,1.192393962096055,1.1374281630672285,1.0902095154892213,1.0857363372375441,1.1358766644216431,1.0467836419008292,1.110711024453383,1.1294117317925387,1.0647261109930728,1.2468535378849273,1.3705706532145048,1.14303948398308,1.2713534440685847,1.5220865212942163,1.5913122052937998,1.4084064105352045,1.261515038152049,1.854922757454907,1.7561362960461602,1.560003611998809,1.6102551688899331,1.4173768660827102,1.727192150580248,1.8190792093784198,1.4732593121332365,1.3216763759531993,0.9873753348992603,1.0040076764670345,1.1700276010810768,0.8846657315677128,0.9701579318668352,1.9372553160507469,0.9147309913951001,0.9343956456360274,1.3326795215054532,1.1745770017240162,1.8476652307010628,1.0397324607327854,1.0897391067085385,0.7592851163643253,0.9564774129292136,1.0300048420146293,1.5848993182591002,2.4719193676263678,2.794673280768316],[0.6618722677808658,0.7545153464651314,0.7407504530396903,0.6860846207721375,1.024969655053895,0.8301168199243034,0.8934243238384937,0.9512393460282412,0.9509179370545848,1.0031607407541159,1.0385365335867052,1.033733006903028,1.0971597086209341,1.0587726832280442,1.1001267098295744,1.1215118524418664,1.1523449138553834,1.1879968115498636,1.2228159309275846,1.2599983184874526,1.3510125058485856,1.382626546513169,1.45453388832618,1.537031505254034,1.4645980820615976,1.3398028099633168,1.2675327455955157,1.1431451984457968,1.1490832392896069,1.137355087138701,1.1656740448180711,1.134472682487192,1.171233016904049,1.181712400139202,1.1799285702578612,1.2046249480003592,1.1519567352221127,1.1941130761804561,1.1668485059291214,1.2785070567703563,1.2868708628464014,1.2664296557433528,1.3531407010200367,1.4801249019755203,1.5221250549472125,1.8828881520489895,2.2178231206154644,1.6496532788805218,1.9639869400946368,2.481567380422023,1.705884819743961,2.386662467956047,1.5445042866569911,1.3275421095875612,1.3656868582086155,1.5406056341366101,1.4392157251338555,1.2686808382395465,1.3958124347151841,1.989808195257057,1.4377743177889997,1.4191671110300659,1.349431990888613,1.4890708348108628,1.412062367529555,1.3364856293671765,1.4412239783098466,1.2656909050292806,1.2832049984377734,1.2670187438593474,1.377119307467905,1.6885303437578019,1.3830101977386435,1.531604190658251,1.3188012312212045,1.617731065667139,1.284651659906683,1.266855275871063,1.2764063772552212,1.3105239619147673,1.2475456009344632,1.2707846756448842,1.2039977047279444,1.4750557021071156,1.4169939377354095,1.1756970574723684,1.1833804604135343,1.2240021959101322,1.24792836405173,1.2465003697620116,1.2168859948871606,1.3478552061916416,1.2737524868063357,1.2095412119644011,1.1642967375754616,1.248332491410028,1.2465297661370065,1.120626541279565,1.0907670322977574,1.0409154699942735,1.1072079349368527,1.0779115559573338,1.0881803980799654,1.0866001397360177,1.5615598512331756,1.085749737949628,1.1500616604593554,1.2024870810739696,1.0658374771092933,1.1090123850954694,1.0425650081303908,0.9728079163682041,0.9691588101649297,1.0173896074172384,1.074774707902623,1.0716220628673838,1.1317536290706665,1.1213890534749267,1.2439332645959558,1.1810974403510694,1.241811038101046,1.1885151742068367,1.1125181419775572,1.0382239182863875,0.9372966519002907,0.9202917602328543,0.9411660654720969,1.0218140448046513,1.0595188546051904,1.1644856511764385,1.0969480805885738,1.1746949397331983,1.3258116042471393,1.250614347140181,1.2450064384255521,1.2646531685950622,1.0517806753427257,1.0507076960140393,1.0052991585407902,1.195747539664841,1.1262048336889385,1.2726718054768835,1.1393453741273254,1.1275344550118935,1.144979064647659,1.0997963860726119,1.0820461896160947,1.0878694337499908,1.0490718918459172,1.011443416192082,0.998253866543815,1.0103229886660996,0.9882326887856909,1.2907913745119204,1.1711825452808144,0.9978031756342113,1.014128872953038,1.014871685496382,1.057313917214556,1.06490983990321,1.0793199469244916,1.105094088371626,1.1416450200284924,1.2132877172414644,1.290621196260399,1.2375845026413426,1.257849310682309,1.415227995215367,1.5902644135306934,1.4827913751638464,1.4951842036205245,1.1549850340928012,1.1742050021337498,1.1510836393915544,1.1412899739677755,1.113797960950653,1.1184537370899554,1.1349826375399665,1.2205344495122163,1.163441915862911,1.24772494784065,1.1570756609465036,1.2627698270674874,1.303539621602334,1.2778699917874958,1.390039602975294,1.3977568172827817,1.783206081918221,3.5228049683352483,2.2169463045590025,3.261130371402176,3.359943605981515,2.5844919006771474,2.0813153981325088,1.7726304372828572,1.7499198330099992,1.3196345870711172,1.198462227377203,1.1035985574620812,0.9941267640640408,1.0309602699961569,1.0638053759109978,1.0569116214491183,1.0868617690730231,1.1123064214144447,1.3247515167335067,1.3482484069560283,1.282352540676934,1.411146308569917,1.6956973530876684,1.639816951046125,1.6636787672406592,1.8865272659858232,1.895087211349662,1.8944558049812235,1.6587419994915784,1.663457427413596,1.4234164971336405,1.2878301033363992,1.319879682345706,1.1709717677833809,1.4470351231583714,1.2945900747264643,1.57129544707331,1.310496271062364,1.2068260228731726,1.1312227050669543,1.3528215487932773,1.3196893874250153,1.1918524505584234,1.2593536014031421,1.6237262517639912,1.4317392719964908,1.2949433236052994,1.4849425546851056,1.7071992417900161,1.5564680681950234,1.4580316430092986,1.1876450816313584,1.1572530483807069,1.1915083604439718,1.1446588915668472,1.3372548763321197,1.1866041767017268,1.4368101699038045,1.2716079511669593,1.0302047165873598,1.0418601413676916,1.1229092700143235,1.2178198279902726,1.355263425667267,1.5272711587208763,1.5145891910350615,1.4391026443894872,1.5961966129706564,1.8789235502598158,1.6543612082710417,1.5199718351618436,1.3706382748505774,1.234541870977257,1.2031084522349056,1.1643618129091804,1.1251136661117926,1.1776538586377578,1.1051973312185563,1.141755745907208,1.1605156756180324,1.1104775912288316,1.2526436092685882,1.3450977236769401,1.1560356736449122,1.284048964918548,1.5017491221782897,1.5850333554174698,1.427134075197064,1.2835955568994777,1.8659940714083736,1.7826038994954465,1.5513378475318962,1.5854058914632443,1.4093197624785896,1.6854271716874312,1.7706643929037738,1.4577128819269503,1.3474420215839267,1.0372646458987802,1.0615732992909321,1.2440358154613746,0.9967315551236977,1.0785569200012846,1.9842814725537503,0.9849961090794687,0.9965960608192393,1.4235254668149242,1.2783780190740666,1.8776841317829678,1.1095715374494868,1.1644665357475315,0.8342050305139278,1.0079410837554699,1.1364007812843497,1.767491170213896,2.6360055210291873,2.918393775012007],[0.8743425000806935,0.9662643450765773,1.0184893444242504,0.9498912641979037,1.1672237451914582,0.9689391118988402,1.005294165318299,1.0554370906852988,1.014024547916206,1.0237072366658435,1.0178800883941306,1.0313665107391077,1.0741716143546884,1.011336124844359,1.0323864937454257,1.0576251170554356,1.0779457595885906,1.0722919285054016,1.0559608255228792,1.1183114550952367,1.1715233940833047,1.2128567878560415,1.2612705920593654,1.3588100508684717,1.3486644043162217,1.1825165357200094,1.1681678873641024,1.0670013638865035,1.0803552249444193,1.0933126307836503,1.0578567926350309,1.0853203088857069,1.0946490819534807,1.0716700578278933,1.0934089406954166,1.1032886752929925,1.1176830004513576,1.1530661397878914,1.1390264502334457,1.2690943175101315,1.2599993458935654,1.168729471611234,1.249231905969057,1.3871731426413576,1.3960226469097377,1.7941271885762096,2.0879299696295246,1.5479332632994913,1.989260016484062,2.5146972696456644,1.6663077346893553,2.3447737271313827,1.4658069105968858,1.2939885463272724,1.3288631521768568,1.4431471881407758,1.3395289158968613,1.1821157238129767,1.264778060480981,1.854633171395525,1.2654246324366054,1.240567943320731,1.1755844816708736,1.2996885864036396,1.224631927765732,1.179768186400533,1.2421141317874358,1.0810359650011698,1.0899288473680329,1.0929703712662788,1.237314341098976,1.5745899567641648,1.21022256570761,1.3388701631070394,1.1419738886269681,1.3973359726156063,1.109310606167706,1.0992124890077983,1.1400664401092513,1.1853440708056178,1.1787823924594831,1.2394655245114206,1.219114839737847,1.4994402773324877,1.4314740211981936,1.1776816496965807,1.126883186412242,1.1680721814996813,1.1283217690976128,1.1277534388116408,1.0655232526327965,1.1735264225706037,1.113271336124777,1.0784437540367093,1.069694773481819,1.1411933291160756,1.1955446788390196,1.0683457338036872,1.0606508742304082,1.0576670798446859,1.0975442330295633,1.117880991448638,1.1303543106049718,1.166652173531522,1.6431505604869394,1.2309947435643975,1.3118104767156629,1.36794400366413,1.2588099950354483,1.263086921749956,1.2030458592333035,1.1161765249733364,1.079271975538957,1.110257564180756,1.0923061744160198,1.0917339267769988,1.081861940578359,1.0588636041815027,1.1065375378798914,1.0556669477785292,1.1190861773326546,1.1177165508605336,1.0822750101934098,1.061609563412528,1.0074353675984844,1.0333439154284927,1.054799094274837,1.1831225674206218,1.2464771426283272,1.3224795845433932,1.2890440985659515,1.3567059325713238,1.478176236404763,1.3951502665713857,1.3999218242586167,1.3851645193872748,1.198040703278459,1.1701169234161937,1.1242564952530052,1.2661243969127436,1.1677280307474314,1.2960641774147321,1.0977701263057356,1.1351540177076895,1.148936719796984,1.0914797714341977,1.105896103520156,1.1097336931591262,1.1190280615690398,1.0640918601841032,1.0884911964350072,1.066340885840658,1.0511738105756567,1.339826915078348,1.2473569849872934,1.0512107619437774,1.0531870066006388,1.0863763583786037,1.0889608698315143,1.1429656232555099,1.1684874366569908,1.1503248992215607,1.207428177683333,1.2652060532898228,1.3927041523043207,1.3392835887569068,1.3794055351621326,1.5082834788065058,1.6871107578600417,1.6214734819825884,1.6209505984442196,1.2785429873373408,1.289437457365432,1.2572071217679681,1.2236084906767848,1.20059099409341,1.159715593096872,1.1941220527693448,1.279802324031196,1.2615397299946427,1.3542037907948405,1.2884023519789987,1.4107540796979614,1.4260969686131848,1.4011266550219346,1.4658035916725767,1.4323764596165027,1.7862020421118165,3.548520556714241,2.2131668260041777,3.258863343507644,3.411936918399798,2.6361218878109063,2.1591879178434987,1.8618921267296438,1.8226562779573237,1.4700972884159034,1.3763691049323925,1.2964126341276556,1.2138908287258365,1.23760051068389,1.2631600473168814,1.2479019436007805,1.286482831116787,1.3027362275249723,1.4538293887630112,1.4756255731084766,1.4229469352531317,1.5199920211991527,1.7431629011387313,1.692230608591228,1.7065423246125393,1.881583270786084,1.8912842477342535,1.87185136293743,1.7236533379950836,1.7324104087661654,1.5324848554449197,1.4284360216808982,1.4466394484815923,1.3445972171785243,1.488404700034168,1.444221660749391,1.7321668530445045,1.4751583815363318,1.3709206483747478,1.3128008642518716,1.4941520409048366,1.4260633759361496,1.3490310491338058,1.4017223388913898,1.6853257157813732,1.5082785574333633,1.4170438572907493,1.6138885185941918,1.7314662018798201,1.6202119510310007,1.536860035262737,1.3494356479938474,1.3569305842289812,1.379322171964159,1.3391739648411287,1.5278131668243122,1.38248970369555,1.5689341800402703,1.4269023904519804,1.2084674694069626,1.2073859644740095,1.2844322069012861,1.3765996413101327,1.4779576301585151,1.6138776564637782,1.6005607080457154,1.5390846350418235,1.663131394412342,1.9002347950124343,1.6883305848291736,1.582840187497441,1.4778348613608279,1.3905013916553646,1.377876010815875,1.3721503949835223,1.3079325013980383,1.3469172066045587,1.3001478170729006,1.3271067763667388,1.3470916977950778,1.3044411821784743,1.3978948550245365,1.4702691518106064,1.3360407731483896,1.4210113361220462,1.5700929340231489,1.657827620006482,1.5419933005338535,1.4334539164483266,1.9409479980968167,1.9405468613527448,1.6493710271610054,1.6787980911208804,1.5299169831363704,1.7479985465311223,1.8545635876597986,1.574882288618114,1.506923030402197,1.2697424532856803,1.2789909888605475,1.4114010335196552,1.221472877362294,1.2473715595837935,2.0381019988840867,1.1555131302088502,1.1537764001809727,1.504983266965241,1.4492334018932902,1.9661692857429125,1.2885931756074245,1.2802713602305416,1.0342185370201775,1.1561380889979218,1.3686989280785236,2.0401540280634247,2.82161397620305,3.090435408168449],[0.7443560301150431,0.828621809538154,0.7708451203784055,0.7104286883378744,1.0361095889456617,0.8134038964522499,0.823618482530663,0.8466173646728029,0.8049925800857882,0.8122403769234969,0.8305270136353925,0.8281962803447269,0.8750315265720389,0.8259562123748296,0.864461383462905,0.8600837507943624,0.8796848998696317,0.894178272885321,0.9223808830152185,0.9356485949904011,1.0363464363348138,1.0787257649533424,1.2413750265247832,1.2767845301071443,1.2084339589992608,1.0276725930574009,0.9457486021129786,0.8558390962765293,0.8706531882371494,0.868234065319752,0.8847709720276469,0.8696845462219214,0.8767741833664777,0.8860322127848702,0.8809518810562836,0.8897435881522489,0.88038869940942,0.9505782461615482,0.890967444017184,1.0468974913538425,1.0257601131932967,0.9558210889628843,1.032529999420769,1.2008845757454432,1.3179981971070671,1.6953530116193398,2.083234843587538,1.4523696252022749,1.7058740499235212,2.4232484027824475,1.5539248038746072,2.165012318422822,1.310967889892389,1.1266091630724357,1.2293205652481582,1.2789140064899414,1.180024949579136,1.0120766847516076,1.108402497658355,1.7616542193986928,1.1752386951251677,1.1216409163120633,1.0307081913547813,1.2218297792382233,1.122583456607792,1.0311449223081597,1.1062076563254857,0.9393232348032486,0.9856324443421195,0.9707870403206393,1.171365885166745,1.5324554836537878,1.1282365485874875,1.2683615480633008,1.0225210920494467,1.235223688868724,0.9709020236533039,0.9510061322039954,0.9637584670662207,1.0190253494362957,0.9655658653818173,1.001317612215174,0.9709924148733025,1.2911819991708509,1.189749736980319,0.9090869683828802,0.9074946971478864,0.9290293878098281,0.9253729080940564,0.935119390163257,0.8984274915978262,1.0562953601647582,0.9884222226810713,0.9147666896767731,0.8953258794591175,0.9939869773528566,1.0392151737674682,0.8549852527828743,0.8375083256174587,0.8345097147923559,0.8761167536537589,0.9065547345462757,0.897751575674945,0.9465195348045413,1.449259838928378,0.9546285408939089,1.081567604042732,1.159426701374006,1.039297531770435,1.0293905857753496,1.0038223259582484,0.8637119854668411,0.840312522406504,0.8677986787549492,0.8649034672515649,0.85581288431043,0.8568489142731024,0.8422166808146112,0.9828007732998277,0.8856603112070071,0.964717091387993,0.9592928946050268,0.9148972691534626,0.8627379061453788,0.8077832678962099,0.8097440180316109,0.9394674138434279,0.9630736727177215,1.0215197250292987,1.0677636634789451,1.078673319407055,1.1625474770490654,1.288831634895373,1.18579247014852,1.1675479318226973,1.1410389450765104,1.0067033995079955,0.9774917054325453,0.8905138541457542,0.98346968619798,0.9041095600258995,1.0478506749653067,0.8579299786343272,0.8554164589664969,0.8930139977745389,0.8300737153704842,0.8253056587929299,0.8528422508141362,0.8635653654183574,0.8375772506334481,0.8701272115689582,0.8449734468451494,0.8591200106480652,1.1105188669476131,0.9734983143544946,0.8205630414468187,0.8211032373419045,0.8549118566629177,0.8663740929237526,0.9229295603455705,0.8982151162786302,0.8662731939974883,0.8962372021406216,0.9762223654939945,1.1053147608468892,1.0858379171827206,1.1460748736258795,1.3566438880771519,1.538717226401584,1.3649059422481002,1.3725161886777906,1.0103500711645044,1.012076681032627,0.9793864680437511,0.9429774515579297,0.9193859280418581,0.9029354967226141,0.9211207421213135,1.0270825355328286,0.9960885708335315,1.0579868985582437,1.0117716354418986,1.1548649105255016,1.2252130582956455,1.1906414675806372,1.198999722603874,1.1775607784824993,1.6543940653491054,3.154419468175434,1.979902805823578,3.1072206998725607,3.155274368813875,2.523907396223275,2.0465106897544683,1.7618296816945194,1.76330608190715,1.3258747973196705,1.2229740812391234,1.1509007349180314,1.0235062499513503,1.0838463607740276,1.0950314859352204,1.0848393414267952,1.1556355131713798,1.1659074541829295,1.359168199521504,1.4514252396140876,1.369471249987308,1.442141729420437,1.740176316628792,1.7164187367190005,1.716407379542686,1.8959767148989601,1.9555303129178898,1.9574750163417487,1.7738847665189694,1.7260437128325057,1.5514009831486304,1.3913433390397913,1.4088177582322914,1.2512865469597658,1.5093150171075869,1.365509848477634,1.6190924929310269,1.3874553167961314,1.2768343927325891,1.1915698861815298,1.4304193657977777,1.403318539554886,1.2597944068457472,1.3214249343209128,1.6789231032114686,1.4631039929704646,1.3464206916546477,1.5335782122824468,1.7400603386860438,1.588301330648744,1.4825570704820799,1.243648231215632,1.1933406048053032,1.2328338992896424,1.1867537908682504,1.3547378258234775,1.2126891205874502,1.4379163547309322,1.274845793296803,1.0476532841314157,1.0339808501141208,1.123088944747029,1.230283038796891,1.3248887545548103,1.4715536880025488,1.4999208448352688,1.4432339089082948,1.5539841087023443,1.8455531014504898,1.6576428698974661,1.5206602471148776,1.4064509130129421,1.2802950214640916,1.2399003699624311,1.2280513756079259,1.1996296996346252,1.249921000381041,1.1829748025760478,1.2358366695871417,1.2561421793196899,1.19913628156338,1.3256235444856197,1.3803966934404832,1.2286877504403735,1.340662982766567,1.5384565854580035,1.6320970284031364,1.5179424842684484,1.436683409022205,2.046748409580017,1.9557823355059962,1.6987390851691233,1.757840334792631,1.5566890938293645,1.8259659573398663,1.962301462560387,1.670595961494499,1.5389661614133245,1.1820352674797745,1.1671866351612104,1.3492608925017244,1.0421798359046746,1.079395505235804,2.0142448924046623,1.0317371710191208,1.0488681280403032,1.3896547729860385,1.3728999560974007,1.9683956944832752,1.1888768534431051,1.1599836731838158,0.8633521602175365,1.0575509591986754,1.1087285378479232,1.5610890842902474,2.479431013730773,2.7969277109990394],[0.6707557279067722,0.7390222542986017,0.6917504485102234,0.6382389028119089,0.9625225369431631,0.7448415869725163,0.770510063313508,0.8002201683583126,0.7754060539328161,0.8048674875265432,0.8365949130187736,0.8293337846549942,0.8853483965192759,0.8473718177949056,0.8993623258551707,0.8944111781258303,0.9219187000103596,0.9583630932053787,1.0082507289931444,1.0319482684108514,1.156043468582067,1.211251674009321,1.3522012004207473,1.4046714194792236,1.2989006882511414,1.1348293853597315,1.031626798505212,0.9227423352089024,0.929944788913634,0.9100238942861245,0.9413461227433663,0.9070866996981436,0.9215284998301099,0.9510987028922295,0.9426658460951577,0.9606537925834964,0.9327839139387416,1.0199669799591669,0.9609187274391449,1.133031559739588,1.1019742643973207,1.0626284294271708,1.1506637366976853,1.3084441919887362,1.4359679700738675,1.7777799705169,2.210358853745637,1.5712794333769575,1.712773633868835,2.4279771231412712,1.6669818591665777,2.2186353903728815,1.4282122540005673,1.212209854243215,1.315397930243272,1.4130972453003172,1.3028136222801208,1.1149981576176742,1.2404127297616556,1.8703514862102586,1.300155979408887,1.2507188147675403,1.1457471737570126,1.3483384387559019,1.2458756535861368,1.1434335532437847,1.2343212620633133,1.0391877020854021,1.0768141617786746,1.050365902334865,1.2311371168116974,1.5966414768683401,1.217083006916607,1.3674330427889518,1.1139402187345997,1.3684205451622342,1.0672782196181279,1.048858821622268,1.0575301488253683,1.1309372607117352,1.053973349682601,1.0911047504587914,1.0267118721776523,1.3392393572504708,1.2385788152445216,0.9748398678570313,0.9938986211476313,0.9989592299539973,1.009564998621066,1.0145272959456682,0.9878896791840815,1.1564977439850266,1.0702558349157225,0.9774026997991296,0.9432677199999294,1.0458853105033614,1.0747556739241504,0.8887769666349762,0.8549082702047347,0.8321222431741649,0.892193395427897,0.8927710319126851,0.9107273216869437,0.9346925161294805,1.4446711287628036,0.9275848619324544,1.0554754618523652,1.129483753454271,0.9916489291376607,0.9791229820531054,0.9487400785887472,0.8241955411202148,0.7998034286708414,0.8426282229686958,0.8674214180773973,0.8678110578489547,0.9033177493897122,0.9000202683863546,1.06486958044397,0.9555946217960253,1.0223446830328686,0.9960670497852046,0.9330119066271023,0.857608630002473,0.7774078127128886,0.7682989026366538,0.8909565623656338,0.9114823971049675,0.9739638542882403,1.0283032415439437,1.0329710273029231,1.1349730254500745,1.2834595670986642,1.1871100208957226,1.1495699290745722,1.1084385781395671,0.9804611995384162,0.9563620877002544,0.8674733370597704,0.9817347180303746,0.9476256580349326,1.0979233932456443,0.9315846787414647,0.9057080521667612,0.9588733155677889,0.8814123889555444,0.8572729363277138,0.8665420181813791,0.8552084793694278,0.8154485879626469,0.83166294858732,0.8085433494224539,0.8174263397369692,1.100675170548007,0.9583082937185907,0.800764238660782,0.8098087899926769,0.8338138212185036,0.8716658588467144,0.9147181285729724,0.9050513792777988,0.9008398724663316,0.9329448317003148,1.0306463884899866,1.1555134650050634,1.123602667183259,1.173922960007037,1.370936809041686,1.4983639888367486,1.3117996105001906,1.3226482733883926,1.0124945872484499,1.0385907308882283,1.0147641892305481,0.9804374235131025,0.9433793211444237,0.9294183455643027,0.9572744837334224,1.0779996478405651,1.038478617512742,1.0941864383767952,1.0238648930975345,1.1868663979145768,1.2827129475163044,1.2444129452954815,1.2635541444715275,1.2557557878332066,1.7384153753077607,3.165062844836267,2.0868556953192785,3.1381246299313696,3.124125523160955,2.5308434919969907,2.057837874537561,1.7967043470573814,1.818109430239576,1.3177683859834448,1.2102395384184292,1.1071876825903118,0.9747680061839167,1.0254084992879013,1.0233335350084207,1.0083081940987297,1.0695142987042587,1.081205592998175,1.2799260794495404,1.3858300966752362,1.3050045488867557,1.3752639283972172,1.698446066271353,1.683841128898845,1.684346418136844,1.8754588619744499,1.9432008423227982,1.9677737451078245,1.7655758545474338,1.7016675112988902,1.5346383001311494,1.3489814377626246,1.3668624764596413,1.2258894890136194,1.5594807977557368,1.382073809216382,1.544561143522863,1.3411017457285865,1.2548198344353545,1.1471980449304846,1.4743791733132172,1.439850684240415,1.230727530649533,1.3238947266154917,1.7317260072469611,1.4811846545809373,1.3490945157931225,1.5701299345682367,1.793605013957064,1.6024115114103785,1.492970328197672,1.2087168777051538,1.1744974203061413,1.2226773823488284,1.1286711078645535,1.318327049998407,1.1644310365366968,1.4083291547145609,1.2394718420552364,0.9779478135898813,0.9652503442024736,1.0603949833594672,1.1492181547316365,1.2492362288149792,1.4014436266691597,1.4348211886332913,1.3802498233233234,1.4985339864884164,1.8090043363466093,1.614308149034263,1.4694364477261557,1.3438958923291882,1.2101535841272824,1.1653199662951628,1.1628468501320954,1.1374754032521113,1.1831256899219267,1.1278643459100246,1.1904564090751557,1.2048464940695676,1.1444048140995509,1.3235961128828988,1.3934686356952006,1.1944351285004222,1.322580192909233,1.5697569659489061,1.638830722658827,1.4819305083846692,1.384665245647546,2.0211212754303354,1.9127613831312549,1.7005021556693942,1.7489071191368861,1.5207810726786855,1.7972929893582617,1.9530259495195048,1.6376284424386205,1.4989977420342375,1.121916660791192,1.0984774692539392,1.276836125907518,0.9631687476341559,0.9998445790807999,1.9502391277486093,0.9832192344851199,0.9938194222625427,1.3329284345298993,1.2814067525375599,1.9059652099326054,1.1086716256118183,1.094421813946176,0.7709190803895992,1.0103014279246554,1.040325935090067,1.503298571427533,2.4399670607996047,2.7604459860713195],[0.67470805134898,0.7193063341689528,0.660840159097989,0.596110321371175,0.8711248819183756,0.6565137911225166,0.6414640254263138,0.6555854462598383,0.6333697937298296,0.6297161952152761,0.6627154383383194,0.6535580723385079,0.6968232922051729,0.6606311488965776,0.7190851822949429,0.7122831248085301,0.73006180109806,0.7796814539973023,0.8549639572989499,0.857248509870328,0.9880464500820875,1.0504216850186656,1.2347195628986203,1.2936698418734958,1.1905132869177664,0.9750812180547267,0.8725020296302798,0.7632709604930339,0.7605321674424523,0.7180272603973112,0.7657278604900849,0.7206024386938248,0.7249539886072788,0.7595678312514569,0.7563500557291644,0.77874505889193,0.755192674511839,0.8758674983287645,0.8200222761418909,1.0293080254168387,1.000102942798538,0.9156537789202984,0.9987911901388575,1.1770833022115499,1.350316943188415,1.711716524960114,2.129100908298666,1.4660164483517404,1.6178360447348437,2.3957094423661114,1.5652124952679545,2.055743060210026,1.2762875216560547,1.136663131266766,1.267083830576263,1.2546839437787114,1.1723617611302208,0.9999696633476289,1.0895441306217573,1.739597435497188,1.17760193201515,1.0977586325880246,1.0007087273619193,1.1892560085395896,1.1101097785757743,0.9992328510339314,1.055493776848061,0.8567800120230482,0.9200815964706294,0.8909155660648013,1.0950919551240101,1.461479645036092,1.0515534390894046,1.2138671079790002,0.9359061799904554,1.187115749582928,0.9025802324150184,0.8724837809479886,0.8842436727978226,0.9628342151775682,0.8895480750570923,0.9308623812970291,0.8908294290837329,1.2002867326093312,1.0672306219952497,0.7986066230921248,0.8381631144319412,0.8297301312024645,0.8408781089334916,0.8465902187725224,0.7931005416267363,0.9652228545221663,0.892545269682506,0.7971810945694835,0.7697752781556229,0.877787426864096,0.923418354827737,0.7086236124248622,0.66733765320704,0.6642656147161055,0.7045497755707024,0.7142317299576515,0.7400914550325608,0.7717181631216706,1.2806083586319197,0.7965486402154295,0.9218116914449159,0.9973704185213792,0.8731018710874495,0.8462143650135606,0.8267192000662633,0.663760788624364,0.6284846725119921,0.6591395322197179,0.6803367649234207,0.6778270119671028,0.7144151651735352,0.7437842501191813,0.9311577999563678,0.7812378186067039,0.8432515942065373,0.8153033843236728,0.7655923805998742,0.6757623801929351,0.6015954363337316,0.6002280918999529,0.8036899831903708,0.7603830256448817,0.8384807596638331,0.8704047707040916,0.9134165762239728,1.0230480630357108,1.1925180816452057,1.0805182476002333,1.0237302355500462,0.9482349684052853,0.8855707087970088,0.844874172499555,0.7088777445519091,0.7882343099126095,0.7924062053876875,1.024181030248752,0.7992066484799852,0.753130931509945,0.8206096316695134,0.7192391924637637,0.6763560049154645,0.6720777920921064,0.6653958567429373,0.6383587422866251,0.664058664135302,0.6468780744843615,0.6952269602672991,1.0309336037701817,0.8207080716069848,0.6294301131872401,0.6262030480722514,0.6484053695210595,0.6891409595909512,0.7629585352237673,0.727643152668498,0.7278545121552482,0.7639678045920069,0.8606231782478315,1.0143301252516157,1.0075799089090054,1.0874196606090156,1.3521630176298824,1.467257229143983,1.174283082754016,1.2021996164007462,0.8660500225001098,0.8828408979328408,0.8723853803978835,0.8221480553177001,0.7873986087803655,0.7683476299577834,0.8014842530901876,0.9169113355469766,0.8873735432442509,0.9369130485226629,0.8895228235466699,1.097625393043059,1.2155274684004027,1.2000326816450593,1.1457819260727105,1.1423969797966682,1.6296585945222615,2.8308145897321215,1.8218926331515204,2.9398818043944974,2.8853172916118153,2.440940170027109,2.0147006891494113,1.7707799864105573,1.8307796901794513,1.2796351217358277,1.166535632743086,1.053531196336713,0.8990111951467993,0.9592431311639442,0.9305721441205858,0.9051672715031075,0.9849718080405208,1.0041878679412508,1.1959664400723238,1.3313787442883025,1.2570783710427094,1.3200533195682371,1.664305670444906,1.668364157853079,1.6671805446758492,1.8567292655919287,1.9456800627933142,1.9861201695931234,1.7748793250803985,1.6976722688422266,1.5383694251247304,1.3345491080210383,1.353899354266706,1.2277787468849488,1.6040125036542112,1.409715173179496,1.525353363172176,1.3312008616649464,1.2489237757068639,1.113582120664055,1.497030554156708,1.4619202482682192,1.208041909582347,1.324907220263404,1.7771917826218455,1.5174527552966057,1.3535539451861205,1.5665085633790918,1.8448470682422693,1.6344528581312563,1.5076402674755296,1.1764822309038159,1.1296556023525162,1.1932623669774471,1.0594346947411937,1.2459607138166313,1.0858750598756348,1.319472490169981,1.1770754166263935,0.8971539270736675,0.8733269277850141,0.9728251644565082,1.0617941921537932,1.1720892340013769,1.322105920481201,1.3678330309168119,1.3257967311304677,1.44485020634492,1.766431786445679,1.5790282361675616,1.4335690761355833,1.3053307418451734,1.161835370951859,1.1030636330330708,1.1214168140789191,1.107271807466373,1.1398744403999204,1.0884316528871376,1.1723891299588212,1.1804002882636944,1.1105876877781533,1.32719023496814,1.4115612706857639,1.1779310718019,1.3179750218986241,1.5925145870012403,1.6318293620755395,1.4493474862630493,1.349467140054458,1.998062033883309,1.9092172718730962,1.712876845440231,1.7646298764659134,1.510126510376643,1.7938420986617993,1.9785777621382923,1.6369820685283898,1.4871735882201644,1.0722722345111095,1.0406059374618943,1.199413406256099,0.8649644492367453,0.8796781704127413,1.855041348453718,0.9148942014434764,0.924106230789553,1.2274082277753147,1.1603600506315166,1.8330052346231858,1.0325900539398405,1.014034183001185,0.7012642173622848,1.0277622072496737,0.9899580033474048,1.3838533224843437,2.3198722854778233,2.6802572137276726],[0.6600634353295498,0.6675249904359879,0.6268053400048312,0.5582657565210772,0.8175614292487556,0.6385454641914089,0.6170418081829789,0.6236070692691,0.6287685224552249,0.629390020236177,0.6752386499593499,0.6598567368571663,0.6949284310072137,0.6799657451438742,0.7271920841072421,0.7143386699182955,0.7432622701526742,0.7920680265826979,0.8652854823479422,0.8725176073345975,1.0174758526698628,1.0573469780419371,1.2371808412261613,1.294747849323421,1.210307546617681,1.0033500503230488,0.8802134938076668,0.753496813523441,0.7513951434429957,0.705392641617575,0.7682592324909012,0.7103602706377146,0.7297745567448163,0.7600398823005029,0.7511303621997207,0.7769761678658093,0.7336048256363431,0.8518766514270666,0.7941439102271882,0.9893376055708255,0.9872545599181352,0.9076196972292534,0.99084759567998,1.1759628593841902,1.332709441111932,1.6998252140920345,2.114308494175418,1.4491460223436725,1.6361528150469742,2.3963684012705007,1.5435950948257084,2.0548156649200386,1.2478550974633957,1.1089133219993048,1.2300850989597183,1.2392561569977072,1.1601635645360218,0.9715160592401081,1.0748515110364008,1.7600860530291667,1.1712232529890423,1.1064178884305993,1.01542810864692,1.2345531626973836,1.1374794566500277,0.998469551841372,1.1089169624326867,0.8890066355898547,0.9734316182374699,0.9462967276086102,1.1435480039269255,1.4958611562006874,1.1150828722115027,1.258461148071929,0.9838415570901194,1.2884877691620191,0.9215921847331959,0.8846084216447062,0.8774331713902014,0.9348176134426921,0.8603791545188175,0.8965914496081754,0.8684572099920393,1.1724610085176284,1.0565948445452769,0.7666118248814869,0.8110639681546647,0.8057991189608495,0.8367802532515927,0.845020407272923,0.8052257404269416,1.003159870743715,0.9095200234713084,0.811261034190349,0.7773869003588377,0.8999898430160626,0.9207756771816649,0.7183663294208424,0.6681147608152148,0.677266314567566,0.6825200311682446,0.6755536750133575,0.6906274568952508,0.7227889281038645,1.182402257280909,0.7420460323114292,0.8335896352542419,0.9182063227344129,0.7931242744760073,0.7822036483284757,0.761454486696389,0.6100646181046582,0.5836629774884556,0.6175931846478455,0.6680810665593775,0.6640207831396172,0.7184750016321992,0.7420763596377878,0.9449880057231476,0.8046493491464174,0.8764488867864906,0.8283608162173628,0.7702540975860248,0.6769027749757068,0.6001525172044183,0.5677224444635455,0.7583181772533657,0.701375949523457,0.765553306400917,0.7923911671117809,0.844039308168686,0.947950788452675,1.1387650492241763,1.0110674040729168,0.9582451763926941,0.8880876234311469,0.8498069403970424,0.8203644884786743,0.6832158797594902,0.7626741835189356,0.7703845180959064,1.0296937123245273,0.7934030102340381,0.7383310652227608,0.7950625327529178,0.6992501504207027,0.6564998440808153,0.6567554524226394,0.6277362169269248,0.6226206978240283,0.6336394063619201,0.6421794533459051,0.6804737445416219,1.0930780671194777,0.8653504620587164,0.6208450794684559,0.6116887951447667,0.6129826885279752,0.6482216596916177,0.7053865817718972,0.6787305217450789,0.6981321569292781,0.7329709825063552,0.8273505469366422,0.9681378855003224,0.9741632169029413,1.0631454252789163,1.360463362707884,1.482610852255836,1.150099231639945,1.180869857543562,0.82117316641725,0.8314532211650031,0.8201676822853011,0.7690622195322799,0.7312931509679795,0.7292845722308471,0.7453871549963114,0.8573487746953996,0.8262710778759709,0.8834215390493199,0.8341933147649997,1.0479756871467552,1.1787089098877084,1.1751905600682724,1.1038618919026153,1.1017693408126925,1.5963773195180428,2.839340194484016,1.7704283176900475,2.8837277298098196,2.8080785667304946,2.392458813534435,1.9811336473007364,1.7429731555948682,1.8295888504965736,1.2619267768376319,1.139959319634627,1.0157257636693038,0.834353377203459,0.8876934485780524,0.8433053925276293,0.8145465241131987,0.8899944578862464,0.9244575267656759,1.1212155804323987,1.2326267700700102,1.1790690510157433,1.2684290301158059,1.6278491118065703,1.626475814097996,1.6450121430620634,1.8626528970840606,1.935382149701043,2.000245437596679,1.7412851119625405,1.6763539062567847,1.4672054369530387,1.2690877043127535,1.305067463199893,1.228636432706132,1.6520373599329656,1.4452418277992427,1.4934863377242358,1.300352880070305,1.2415516966970215,1.0715957952109936,1.5201680001831654,1.4988357594616275,1.1951635209546996,1.3327303908356578,1.8341679828544257,1.5859530040976886,1.3838068028722514,1.600659618773968,1.956951056059584,1.6989968880993516,1.5708907120317135,1.1595716168207926,1.0878696253126192,1.1624243776246879,0.9890635464760889,1.1818762029089698,1.0076917615233378,1.2661645334042664,1.1434718788324383,0.8338447653909364,0.8134250783004209,0.9159554742179038,0.9944408175544095,1.1367660028169009,1.3004939708991285,1.3372570142841789,1.2924284364061294,1.4467813906658924,1.7897786900510808,1.5794214318868318,1.4270739316724874,1.265860136663353,1.1058705642892919,1.039832249488503,1.061392156821696,1.0585913021934792,1.0751987858062826,1.0383725553360315,1.1422378696155668,1.1277107518812592,1.064874346245705,1.3570580814510085,1.4892089015322088,1.1696949666803365,1.3348842588277317,1.6652507180042309,1.6762810796902412,1.4230516951622203,1.2403217017067358,1.8531347240191538,1.7304868563047782,1.608150376297366,1.6601546839377186,1.4117841117561483,1.717291697066126,1.8786453253280737,1.4917677434179144,1.3230089016789808,0.9366427659766585,0.9452859048293132,1.060645052482552,0.775825096449371,0.8012234949964768,1.7684986818984343,0.8511652527392785,0.8544355040365174,1.2075455523344896,1.0121830074646037,1.7139885438083031,0.9094236135823651,0.9796394468657114,0.6388037442887914,1.0028007303548279,0.9495246027568278,1.37186476689736,2.353973900066962,2.7139936866952996],[0.6795829363638035,0.6705884183288263,0.6452554407300066,0.5613594710247826,0.7897169573326485,0.6247496154711061,0.5947433372013754,0.5933047598335538,0.5967412810953926,0.5866064514507401,0.6359977076805813,0.6134287992715899,0.6378423219920957,0.634015113663893,0.673284541580432,0.6520648317876903,0.6721026641750089,0.7132466430431037,0.7887532183869079,0.793844948797959,0.9548731817249595,0.9822539424323745,1.1510787643538467,1.2292205975303818,1.1421662071990757,0.9366287740450455,0.8152339056303259,0.688605860535361,0.679420477086914,0.6356857802422172,0.7032011737014886,0.6433459031399894,0.6643301286218867,0.6868499504674938,0.6711298595978951,0.6930792343425081,0.6606158934683131,0.7791153904755392,0.7270413655119169,0.9175911964350265,0.9295499678033118,0.8271538906986846,0.889621657274786,1.082188286141629,1.2576430825498617,1.6619605444872465,2.0137684246409027,1.3554876206897195,1.6427785114570435,2.3767583409228656,1.4338112911016416,2.001900937164381,1.1368386028137698,1.033520418198691,1.1634583342890155,1.106506523521071,1.0519003568118106,0.8724835351199762,0.9491038842246379,1.6380139004743322,1.0796315420981286,1.0143829675568476,0.9435514401887902,1.1375305929897297,1.0450832336854794,0.9389950983988039,1.0583627877127282,0.8088209343631508,0.906868001643482,0.8992674045653712,1.0954501215525971,1.4121203523927408,1.0543749072361122,1.165325991833115,0.908043373239517,1.2770169297115406,0.8371934988488476,0.7969524000957866,0.7821492455752501,0.8263939022898787,0.7723709472110151,0.8097564316365259,0.8087250000928259,1.0523999699184148,0.9660979567462088,0.6826478730920824,0.7343373601757616,0.7277098160815524,0.7482353846079686,0.7643282493218546,0.7269851498199298,0.9291090775192549,0.8462420934432051,0.7509019846616273,0.7235520221714665,0.8406346564780673,0.8845271209963336,0.673504309951818,0.6221307381014407,0.639920736005577,0.6151136401871788,0.6364971104572604,0.6164527346613472,0.6794357914584815,1.0982466524423542,0.7214796046352201,0.7904616775561063,0.8713802158698234,0.7767471259506055,0.7720606187342326,0.732593161869417,0.5871463643805707,0.544375971826824,0.5750749758713751,0.6141582777181409,0.6077044918465786,0.6519334727108977,0.6817646146650727,0.8909916202704116,0.7337554087000178,0.8009778808737068,0.7446169944714157,0.6926183486825385,0.6209880004455735,0.5681706623687491,0.531556696728549,0.728866992088812,0.6596107613085809,0.7229124797244024,0.7502718993407049,0.8289657971413149,0.9120895700865107,1.104144600951775,0.9491314450678883,0.9197018837173543,0.8573781638037612,0.8424281389918126,0.8292196347401561,0.6692038585100076,0.708234837570817,0.7243263647023678,1.0220461098595188,0.7544640827170095,0.7002961718504844,0.7461119347369559,0.6428889935060859,0.6072151206006788,0.6018087946423725,0.5705899585423913,0.5871866021474446,0.6105940915534406,0.6226343210908065,0.6836319458861712,1.1169516054610469,0.8480868957010168,0.5799502609518561,0.5566195174432228,0.5754076044939898,0.5785812142945721,0.6512756215923855,0.6248268080802771,0.6370406874437081,0.6791547093667747,0.7509514476216836,0.8986325622541017,0.9289942693841903,1.0361666080683365,1.3842315857417087,1.5472009175375516,1.1830422827062952,1.2087953278172354,0.7842731242949242,0.7695585570078225,0.7655257425547489,0.7044372418037907,0.674660857121888,0.6659448171966116,0.6921840601366178,0.7778664569355429,0.7593965146189231,0.8139043552353045,0.7812922866151003,1.000399872783428,1.132656911251493,1.1443373240750436,1.041131047726481,1.0350124347065282,1.4956976360130896,2.7549139321907616,1.5991611751399317,2.763693856736554,2.7074666468313744,2.3146963587749774,1.9336275482025764,1.693180348232772,1.7964770227315616,1.2846359710519133,1.1523639058514497,1.0413967816526424,0.8369757249858439,0.881958391752195,0.8219932116499036,0.7889603764082672,0.8614939605324263,0.9030250791103426,1.0994826576974395,1.1650889637341209,1.1329272150818412,1.2581162701982584,1.6059858140809835,1.5834739268097713,1.6244563755829087,1.869804680880563,1.9058504491997683,1.9739970828266267,1.673360938775179,1.6508898225101878,1.3964042936009695,1.2185899622891612,1.268075302436703,1.2268960457310507,1.611364754655649,1.4409667495282985,1.4844124183778713,1.2784683027554564,1.2207456112523036,1.055315480393238,1.4767999326038486,1.4759070914848764,1.1934305790561133,1.3371379593946153,1.8309088460808574,1.6399075053261702,1.4227635509916674,1.6196245850287687,2.0086638219578576,1.7573045062073291,1.6403702986139208,1.190577132865297,1.0783163014412915,1.1502915691067856,0.9687617893179133,1.138479825462114,0.9686493720480807,1.2213088378766424,1.1288326060674039,0.8245897346184043,0.8103372643561664,0.9067250844968043,0.9822143120953101,1.157041113406205,1.3369029588492667,1.3507469148659246,1.304243920959598,1.4888202223491438,1.824820408882046,1.5957369562345114,1.450757270614158,1.2631434046965901,1.0991013409278845,1.0348955243802571,1.0359255381013202,1.049692624391436,1.0539961429321523,1.0192053629410465,1.127345952911388,1.1097090020916336,1.0604926225344655,1.3690410483723523,1.5319969183062492,1.1907367919590597,1.3750577124513017,1.693841545601507,1.7062914575938237,1.4352101434539846,1.1810890434088834,1.7314511485709165,1.6007570387400933,1.5028916281677926,1.535716252437914,1.3154442419183547,1.630985454856455,1.7476156154511433,1.3395497196153323,1.1815370681707393,0.8720254558090605,0.9133322487547653,0.9611995847944258,0.7599444189257281,0.772987692398717,1.7075926193649977,0.8442757669369384,0.8300907575650827,1.2482803813193295,0.9385138612131236,1.6223759579435593,0.8450605141736186,1.001113155492981,0.6330974794516164,1.0041034771037949,0.953944777997902,1.4105959472342853,2.3663014939356595,2.7398888508866506],[0.879332546687238,0.8219065760546409,0.7902932140592073,0.7007599624443442,0.83481920129951,0.7132145592202722,0.6516973625324364,0.6394330881631191,0.6553615310459663,0.6046107383590743,0.6415415140483444,0.6128849897705744,0.612986434127887,0.6295662602521577,0.673631400056089,0.6357252447834209,0.6348995792070886,0.6900964217484977,0.7749079976384938,0.782694673257598,0.9529661746740251,0.9856779829389232,1.1759040416448439,1.2490447388019108,1.1635384910088826,0.9387236727073746,0.8041541808548422,0.6748437906271257,0.6618338218760496,0.6104987948183221,0.68163739421881,0.6245645483306397,0.6354262395367856,0.6680169277251058,0.6567961036214754,0.6794630782499089,0.647791404072261,0.7780791791167249,0.7318786822808847,0.9549439563325461,0.9408131182223582,0.8258046977423998,0.8936322650540242,1.0962236161138197,1.2923830591982526,1.6790556151962845,2.082876796890808,1.402033231679065,1.6155183929276646,2.404810061793989,1.4981569565641344,1.9632300588637068,1.1695475242447562,1.0737508435844374,1.2266969167298942,1.1439092299798301,1.0824116605792709,0.8870855233715794,0.9669637268979221,1.6693711959554958,1.0839528179139084,1.0121013277892075,0.9279424600635721,1.1620420030922194,1.0556106331263317,0.9278326267757573,1.0522282513548973,0.8038544454156481,0.9113868356887614,0.8888004671073231,1.090934611177984,1.4290814085429329,1.0576535509125697,1.1683873667814129,0.9044612291079035,1.2815461596741278,0.8234863633835322,0.7795049907355112,0.768659535267108,0.8237773468182499,0.7736683675275582,0.8232947676799209,0.8080495411101299,1.056636958461822,0.9438809839451947,0.6854225712169535,0.7349838546453606,0.7123181551792649,0.7312406646498169,0.7352865090242902,0.7111421989413835,0.9214833608829662,0.822796772660586,0.7260942219994613,0.708282858841667,0.819744184063783,0.8846507211745176,0.6573555320453449,0.6127368903977473,0.6532994516672463,0.6110460781340715,0.6551027702772787,0.6213247088920417,0.6940668414340148,1.053501696174224,0.7686107937381095,0.8518618373361517,0.9366124981545749,0.8617450300493156,0.8428908859443981,0.8072651461526691,0.6427890571163697,0.5756508652501082,0.5799574356880206,0.5935248612007998,0.5830321733451252,0.6275624257158817,0.6710313748175482,0.8869887504062914,0.7066249362172982,0.7737223316667613,0.7003894966830576,0.6469272134582448,0.5982423883024538,0.5697757922967792,0.5505951845872739,0.7847372365387221,0.6969223219708417,0.7779956679577411,0.7859442003080461,0.9221189709804545,1.0335203722623882,1.221503431023385,1.0601601915704713,0.9966746931024916,0.8289903738362429,0.8397937588443729,0.864280376430718,0.6753321669614094,0.6661642152103884,0.7097782870667584,1.0133550130722857,0.7447406057077663,0.6946038125605931,0.7524534660042193,0.6394845139450941,0.6033324493081084,0.594062585020588,0.5687982899087413,0.5992560514243087,0.6503838432382661,0.6529326884407223,0.7173276184224819,1.157768906042003,0.8991075987390966,0.6205385679998401,0.5730053828063191,0.5943983594148747,0.5966162664870577,0.6875777767504908,0.6444016724739259,0.645628903497832,0.6803145575737443,0.7411838061380938,0.896908912339346,0.9396707056827455,1.0510689438877754,1.4142650781924275,1.515485434648993,1.094237528030659,1.1155746372530944,0.7683365851092201,0.763898619428148,0.8093430997689324,0.740866724658139,0.7091434821594077,0.6705181978863886,0.7129739458729346,0.8191959669024045,0.8236780639107344,0.8219464064210434,0.8403223565134107,1.0959871587419003,1.2475858769941215,1.257961438438731,1.0948145575076147,1.0726729829667934,1.5368594951970642,2.622283217247974,1.6234724091097517,2.729505858154518,2.6132975202100903,2.331860527481084,1.987088426120978,1.818686773502401,1.9848308758511874,1.430539950011649,1.3159151729039034,1.191356659369663,0.9767031512267975,1.024146847607138,0.9084280043583254,0.847409335448546,0.9210639139118271,0.9602213257905694,1.0715889460198138,1.1408975805771828,1.1319586518784166,1.229897277945966,1.5626840541853815,1.5573340324269473,1.5994969255501135,1.834256483120403,1.8820878264424263,1.9759054432512768,1.6831889818917696,1.6466004651986315,1.4110011920490209,1.2397520921261584,1.2915447692410043,1.3732687457155595,1.8004509681186924,1.66915945958576,1.580083615141504,1.4537602844342823,1.4530856191195582,1.249504246412991,1.758428039722298,1.745184923593022,1.3760878339645077,1.5732315425752097,2.109644488537325,1.8808684694896787,1.6425245273068059,1.829517698176586,2.242114006413707,1.967893089350012,1.8180914102860133,1.3612090309996956,1.2628215422051803,1.3594385634796722,1.106749709644634,1.2700256473244111,1.1009274265116784,1.3264028276360984,1.250331638615856,0.9173826468798659,0.9065659325411767,0.986875369903174,1.0065898851797084,1.14071530117301,1.2911419044082455,1.314587961911466,1.284075926530014,1.4529561562752642,1.802952560849256,1.5642709055047106,1.4371822605178062,1.2636155020394615,1.1365069220358603,1.0814792538300824,1.1717292654297187,1.14232774423452,1.1090889743968608,1.1637892197466537,1.2757707977595423,1.214142627471445,1.186705350763149,1.5705113012366334,1.7207684963627834,1.304851384462832,1.5387161056233685,1.9196427369588651,1.8755500063510546,1.53206870215763,1.2192453503609515,1.767036071368282,1.5754325660962842,1.5333904464936337,1.527147251806164,1.295224743753585,1.590392168413824,1.7203649519340052,1.3273165464333332,1.1766245731862401,0.918735818112547,0.9743052237149313,0.9699606630281647,0.8715381458203444,0.7862404550765643,1.6106703444696473,0.9501223697434361,0.9185285784096554,1.335141995403025,1.024880633860607,1.5633963536457531,0.9127476619724685,1.1493702771309047,0.7771353703317789,1.158356478876735,1.0817634829349205,1.5022996767056747,2.4069240699949224,2.9039951023697266],[0.7144408517882426,0.69354005502852,0.6627276870316164,0.5559250956753783,0.780233222850352,0.6158628281025634,0.5617848179032195,0.5594137624755188,0.5583157517577383,0.522541951814398,0.556728437379348,0.5471242244140445,0.5861379699132323,0.5655454781368202,0.6353623090104871,0.6254856304453492,0.6395930368741619,0.7083443593667701,0.8169905974351043,0.808137012222438,0.9566371400727653,1.0136051183030217,1.2455527225514182,1.2999328189387411,1.1992687191944589,0.9513330882630359,0.8408323078635105,0.7193220041558613,0.703287475906521,0.6361699665139736,0.6814611415104785,0.6424294954114491,0.6406629338447251,0.6974371736984548,0.6957702025427089,0.7210907743685111,0.7045409520186735,0.8458465755369349,0.8068409583949694,1.057253603704606,1.0020610366560596,0.8931313657709681,0.9752873019414064,1.154514592800401,1.347073454065872,1.7005077650675136,2.144273758981195,1.4734685331568131,1.5992366943222471,2.4302731364817416,1.6064840416710835,1.983109019193657,1.2617610914143227,1.1689610023511157,1.3228479830593045,1.2412861487856592,1.1743157464498601,0.9862825818486318,1.0702271227294968,1.724571267493304,1.15137904446607,1.066114640997112,0.9545284121253009,1.166416149516426,1.0852324181494724,0.9638175305027187,1.0250414544046138,0.8026636839290798,0.898788287073103,0.8480394950609935,1.0744605955462996,1.4340601515145999,1.027601917401916,1.1801493500239488,0.8970054531118998,1.1760490496348015,0.8522349926796239,0.8103764213333209,0.8237565252630535,0.9082778036575694,0.8537975459731795,0.9091924393981617,0.8710166170089967,1.172235854073939,1.0193110516396926,0.7662926827707723,0.8180472939119552,0.7799880184605537,0.7841852111105777,0.7987510582918849,0.7236791513634354,0.9006692974584265,0.8120380231419791,0.7058280314797679,0.6859977906529372,0.7914735313301431,0.8670778593330977,0.6366322371252011,0.5772825346254147,0.6153722431940116,0.6072142674924709,0.6480053040983,0.673829286651065,0.7169892307063443,1.1024956908616674,0.7711964478388212,0.8843499985773923,0.9668360270846333,0.8437080641281695,0.8011768014765301,0.7567793509963785,0.6026466493674907,0.5341684314447614,0.5482135840299754,0.5674084384956641,0.5782414086355661,0.6413344407648627,0.6905679317435469,0.8923774280140497,0.71250458285817,0.768189142555202,0.7074988325586369,0.6665994805217859,0.5690520723890078,0.5099262262178234,0.5160801702586708,0.7561369057951508,0.6672264133125937,0.7632352243009479,0.7880247500168786,0.9107352549873803,1.044500647062271,1.2388004296864652,1.1051646179207195,1.0171863765211726,0.8401339659140549,0.8480616490523635,0.8327942849520479,0.6594465124805362,0.7180110098545479,0.7730993644309088,1.0411923855349723,0.7854007719025535,0.7276550073326915,0.8031701132241932,0.6845835477730803,0.6316197605078571,0.598448183868791,0.5723627797176858,0.552779068789496,0.5944439890135123,0.5594114778861053,0.6575522998242288,1.0441908468426855,0.8005277988182489,0.5577509448861075,0.5372696758647787,0.5576963535285312,0.6091133329556088,0.7048065657546405,0.6809649804382013,0.7043682596603609,0.7414821217185943,0.8167507159488898,0.9577605105694426,0.9956973675643132,1.100240679953029,1.419831854862525,1.4775465034322368,1.0659842238140091,1.0940348728125169,0.8124585402534731,0.8244658718935673,0.8634279960605461,0.7992734768918486,0.7578752824229098,0.7198378089208678,0.7610597432512551,0.8857760094938155,0.8822018035971927,0.8930987165957203,0.8762682083063655,1.139859718127643,1.2964870812068965,1.3023329470879494,1.1680771011654763,1.1655225389318438,1.6227166717428831,2.5736984213141665,1.7001096952125407,2.774877848278214,2.632924046673091,2.380048008259649,2.0192709093307966,1.8540722998106192,1.9875303886544902,1.369422253240658,1.2722825914716824,1.1210305439616657,0.9249853676519015,0.9834189550902993,0.8843061724571208,0.8259377303151155,0.9090022768623413,0.9503469114358077,1.0721674516367274,1.211744030223521,1.1750506366774573,1.2316032928560878,1.5846744152345142,1.61810676885718,1.6304475086085084,1.820242467353287,1.92593658412141,2.027581322203713,1.7827686356356323,1.6937528145258214,1.5276117536607694,1.3083854541519693,1.3426324939755916,1.3288237984192788,1.8194538620906409,1.5960729540669598,1.5619223411924887,1.436498070389466,1.4273812692878503,1.2375582201054125,1.744449846375442,1.7100396150717432,1.340868770397997,1.5211500010827559,2.045870127000532,1.7598645619401452,1.5540393504492334,1.7867693079214264,2.1413183191776843,1.8530602224851587,1.72898167326312,1.2822655520602202,1.2313003564847473,1.3356111118221798,1.0933092749995104,1.2688832841038977,1.1055480419669732,1.3155119355475495,1.2124333851791904,0.9287882687932729,0.886581290895434,0.9500537452474357,0.985231909221454,1.0938117423298772,1.21916024021642,1.272620125090807,1.252915973859287,1.3805258133485907,1.7302947967558215,1.5345375870866236,1.3944622424972326,1.255636072067375,1.1282677628082842,1.0718577517823844,1.160413104907461,1.129217810026558,1.1132485732971384,1.1379877194201535,1.2458220487494762,1.1944222296964935,1.144190498186861,1.497846175590337,1.6066876562136172,1.242827349855041,1.4346246775273552,1.7997590563725534,1.763656994171757,1.470288062293348,1.2771539185660359,1.9224348520143257,1.7808722962969845,1.6898124002558235,1.7236691580244743,1.4391055400734638,1.725845067438639,1.933631940260214,1.5438378674215794,1.3710210166487864,0.9817307802638402,0.9786044791885226,1.0621490315985895,0.8268150971728476,0.7615811642937772,1.6691644070149803,0.8852911725689285,0.877796691683558,1.1498619279808293,0.9862584600710717,1.6576951923378054,0.9091251618636512,0.9828837595362835,0.6409105783191219,1.0938311184441432,0.9722178176017393,1.2987103940978055,2.3098689338757628,2.7639435066629643],[0.6677703183356196,0.6723593078211668,0.631017740351777,0.5469102059148898,0.7689131061916741,0.5947988548509181,0.5354340612358286,0.5317221325932258,0.5207025431634095,0.4711096450172015,0.49960628295079373,0.4977386031436538,0.5109916756891413,0.4906420971759953,0.5513289878127511,0.543416392696071,0.5339290765311833,0.5981195837943296,0.7149716438536917,0.6732977348726429,0.8194926518713505,0.8774038104841471,1.1199253235234101,1.177650713695147,1.0898380430576753,0.8249169143312274,0.7217519591527174,0.6287825115324007,0.6119839441195608,0.5395389081932547,0.5853634835586843,0.5527285130339484,0.54395636807339,0.5879355348563229,0.5830707555966409,0.604424803981525,0.6106750047786694,0.76862177651407,0.71676733063445,0.9643493669789549,0.9105098966943797,0.7659735925952308,0.8381285628138195,1.0289345497879836,1.2288121729875396,1.6110901547249776,1.9741320459773484,1.3077825486686105,1.5403948063528663,2.3762512374750533,1.4387456800696896,1.8507593032058627,1.1178251183700672,1.0630863047290804,1.2615759022777036,1.0512808014820452,1.009872277751105,0.8748808299761182,0.9092970073098795,1.534756632146228,1.0331586276848155,0.9079865450785521,0.8403677462220505,0.9876371546422947,0.9320759228760356,0.8567098444681639,0.8683672020638704,0.6614974384239178,0.7808243929336124,0.7345232267606172,0.9890823777935859,1.3293367647543575,0.8997560927259148,1.0553445485288606,0.7623747118612834,1.0157196714810457,0.7133752177593783,0.6681789858776566,0.6845097302647833,0.7757373216426974,0.7423745217468241,0.8083189398921866,0.8074385056737803,1.0408602492345471,0.8991385425026605,0.6620336226758675,0.716453860854909,0.6654165130852433,0.6555779907970748,0.6749484730276349,0.6049779185316815,0.762075921819664,0.7031480358526688,0.6109848360093965,0.6056605544448859,0.7038992745969397,0.7905081010629601,0.5586865991691513,0.5056958035379528,0.5807815572354735,0.5366417947754268,0.5837022818465258,0.5820846492315923,0.6402788075754361,1.0385206166406322,0.7124455309052639,0.7940265880933325,0.8757625520641975,0.7712392812150658,0.7502674619123322,0.718369664580662,0.5578760916565023,0.4817667412912335,0.4849801072284633,0.4898163580247099,0.5017111677732,0.5553339526706252,0.6075001552868045,0.814070257874846,0.6045018570956319,0.6514236808325993,0.6055150814886648,0.5921217606137134,0.498265732731487,0.4631672137351707,0.4691947598594229,0.7298536005933857,0.6186027433187338,0.7083584495558154,0.7172320736867405,0.8312093431130798,0.934798274940557,1.1326495569881885,0.9890101625013693,0.9308459201595403,0.7780649857324244,0.7827620461330903,0.7968770489968395,0.6091096526006412,0.6337679119690529,0.7023915762128975,1.0173272473921804,0.7270037317585587,0.6656009762479551,0.7347378782889444,0.6060805046763736,0.553987219561471,0.513507426853601,0.4957854415370359,0.4973652174659266,0.5507206435398829,0.5326738790494051,0.6308648775090908,1.0385962462309781,0.7885209871567057,0.5243810803638493,0.48870091771635915,0.506569405246802,0.5384753633784827,0.6429682157134953,0.6021134853497545,0.6207174194733867,0.6520472342304618,0.6999347048043532,0.8468425305624879,0.9080875976815722,1.021913582302128,1.4145471523548487,1.5291099256808243,1.0667559507449125,1.0841852617074152,0.7282951868915437,0.7219878235886736,0.7840391354978136,0.7146285119899399,0.6741143640855743,0.6323916687112946,0.6877165994880758,0.795352981406123,0.7986479806942421,0.7935252005484087,0.7976117684228395,1.0446732164580814,1.1926802931351994,1.221798954403734,1.0601271006093855,1.0597696789070357,1.4999857463088968,2.4248181882202733,1.49390275607289,2.6184089626656033,2.5203879619919887,2.261412315492675,1.919253406710843,1.7170114825296692,1.841705632083805,1.2968249092858752,1.1665078731866405,1.0310276297539378,0.8442430956040472,0.894022546186009,0.825791146132067,0.7865504761341233,0.8776623016567505,0.917800916223858,1.0920546824665989,1.233894736549832,1.1869757187351053,1.258578242837204,1.6241771900513426,1.65134312543364,1.6628936740550841,1.8561353232350322,1.9648634437030468,2.0401060792664496,1.7964540145322616,1.7099137225761183,1.515863271375681,1.2995438655789726,1.3312436587302086,1.2263946102496694,1.646087950246456,1.421163048113412,1.4795353117553358,1.2978873571880916,1.2412137899436035,1.0832947645082933,1.5155734989979923,1.4800228925928751,1.2045630777265126,1.3464178393165445,1.8286096821446667,1.599834570506655,1.4038440646690835,1.609823087806979,1.9668346421566627,1.710268450040597,1.6135201966099462,1.1739455883726841,1.0980999725913223,1.1793095565763243,0.9821813897272137,1.158276078507873,0.9909560745235397,1.2433607946014467,1.1396214806249987,0.8406992320664496,0.8259303786120412,0.9103294183969228,0.9704198861342075,1.1046801184041606,1.2480196545332072,1.3040966892111996,1.2737036966180861,1.4137512581867981,1.7589414710050308,1.5676563921813373,1.421375866471543,1.2754468404554031,1.1099381608993755,1.0329448965455825,1.0567410670950308,1.0679464861889083,1.0850274406950162,1.0383168149012543,1.1361683680015782,1.1318834169673888,1.059478169132807,1.3349655846010433,1.437592027871253,1.1478001802652464,1.327740651460829,1.6184847398120408,1.62854261279233,1.4039436452175833,1.2534582534582153,1.872567041042976,1.8113679095693305,1.664854353022954,1.744796737207635,1.4606687532474691,1.770692585900608,1.979714014320066,1.5694200487459788,1.3781206347198998,0.9353154984107038,0.9300241948752642,1.0380579351520436,0.7668001681635279,0.7358584506813246,1.7005985942343727,0.8403363599887683,0.8422905597034778,1.1433951417593848,0.9847775143644638,1.6977103757325707,0.9150413298432937,0.9586444704428925,0.6267719002033922,1.0579618351163895,0.9564173679022896,1.2512436306005745,2.271610680638757,2.69650931254633],[0.7282886731206129,0.690276784129641,0.7325557934295187,0.6096167463260255,0.7076998077900101,0.6177884573069424,0.5227855279315995,0.5283272448511065,0.511802689570398,0.4791318256921784,0.5017473141670513,0.4997709694080593,0.5188915723018933,0.5055963877343432,0.5620535812700337,0.5612390826683691,0.5506938539458676,0.6316930096115844,0.7820780950425221,0.7189659794983456,0.8887123058499027,0.9592985969455172,1.1623370613044823,1.2219309312370192,1.1095322371268528,0.8809539362158463,0.790263950366907,0.6865311603631588,0.6524831289286318,0.5683691969417781,0.6276062052873285,0.5744970593802619,0.5543183464217893,0.6063397957874149,0.6076006488691098,0.6411487102456176,0.6483830825616952,0.7980766652162223,0.7881507529780251,1.055994778883803,0.9968422447033926,0.8197521419046843,0.8831823194343268,1.072696723166677,1.278455565570703,1.647616944172846,1.9801235058593243,1.297344424824848,1.4947857482705635,2.325804979617911,1.4324012072231973,1.832021926632029,1.1495315163692994,1.1076980818364919,1.319282098853101,1.0698507440061202,1.0290777827424442,0.9063839948013674,0.9492348625342091,1.5131133336757008,1.0814067870857218,0.9586365946768737,0.8931892485634765,1.0115541442460372,0.9789091711646496,0.919784710269706,0.9249556703407817,0.7008248976846649,0.8005536003476093,0.7657747165416314,0.985887237798114,1.3001084689888809,0.9093798579925934,1.0471518647732783,0.803417508883321,1.1493300565080993,0.7406831505327061,0.7021860180381344,0.7165016018360277,0.8172187080263529,0.8083925077721204,0.8816870160881513,0.8467961400187631,1.0077935567227851,0.8886097584959433,0.7177744425560848,0.7767941517224615,0.7268586254167201,0.7026372488647121,0.7034976441443593,0.6417171574457993,0.8335017662784122,0.754444578438669,0.6362976920861133,0.629109529401985,0.7058270799373336,0.7894709781631951,0.5715018700915845,0.5137649653694749,0.6066473395887826,0.5441096732314015,0.5949744706361103,0.6166326329784715,0.6627998488588063,0.9835891222861658,0.7810968074187731,0.8359828764397241,0.8934740339975051,0.8138116700140413,0.7867921196826303,0.7205036814411041,0.6252492705170671,0.5121955108145425,0.5205805987640382,0.5286251655982056,0.5579829124434142,0.6171680479578857,0.6690483669443824,0.8595853381984693,0.6349325074915535,0.666888484112637,0.6035001028464116,0.5997252828984563,0.4874635844775848,0.4541888832741072,0.5029337576975512,0.7034176225891815,0.6395495562194391,0.7182668908256138,0.7574791573758917,0.9174975416689068,1.0202254761844272,1.2320313326692511,1.0730160453787059,1.0256062713936887,0.818106247281151,0.8187020393898865,0.894403556502632,0.6873799983552271,0.6798100466193121,0.7760982233242277,1.0923991631629089,0.8157204713144106,0.759406478042309,0.8312629128705384,0.6778049555529501,0.6275858093837384,0.5504962257818645,0.5362842210240902,0.5309473260069536,0.5702167479336293,0.5510067876470209,0.6818907260561051,1.1050803381632588,0.820135369826789,0.5453925535119443,0.5127232899858268,0.5426693054126562,0.5746114279724036,0.6750011697608433,0.6733442928960269,0.6923081947950018,0.7355588030628782,0.7621556032109998,0.8918104758544663,0.9754991245689736,1.0668827026536822,1.464964809088645,1.570527661316201,1.079463956208421,1.0716116591449902,0.7879604320004353,0.7743706628619578,0.8834085089089572,0.8035515314666003,0.7460112677379526,0.6755080370085477,0.7583974079782899,0.8673668673321919,0.8896552966157514,0.8545645580811704,0.8841637514663161,1.1478908590883776,1.307126131963327,1.3544128842749665,1.1602825170701776,1.1566554974532661,1.551744206903495,2.3255281726645145,1.5220243365643902,2.584490614753679,2.4485933538711713,2.265543818284634,1.9665824101118696,1.804475244088989,1.964762735916747,1.4409962437156885,1.3089879709495782,1.163461423066677,0.9515151144366649,0.9663742317567275,0.8291551385160679,0.7604128434417237,0.8383334623171078,0.8808561509442491,0.9899029743635417,1.085714672189968,1.0900746183395111,1.1838076400530153,1.5314999540436065,1.556263844276601,1.6013664777571492,1.816363983713993,1.8944763635642312,2.0247398294398096,1.7261836133326547,1.6767218096314576,1.44523652010295,1.2327777289077697,1.2937762853691328,1.3038815958413736,1.7667859321934043,1.5498127283118244,1.5158735211355956,1.3762121028119936,1.3697878643194719,1.1788637113122222,1.6807562342316174,1.6649692404766896,1.3146307466813258,1.521770803954634,2.041733464904087,1.8312398560735392,1.606045593805504,1.7894284997207055,2.215068047587066,1.9275728005346224,1.828588517998844,1.320529900017896,1.2304728316795333,1.3213411814684468,1.0354099829028698,1.187741690819247,1.017334221650488,1.244203074586778,1.1768629557587398,0.8772225032519059,0.8406521833394407,0.905568490484133,0.9149427754821541,1.0579351521935836,1.1984766894927101,1.2386509851351455,1.229959559998825,1.396465656491893,1.7515109780838172,1.5452015302229152,1.4146674327590698,1.237636722528695,1.0888313559985867,1.0121721371173305,1.0937933723287534,1.0872440539136068,1.0526719369433397,1.0867651641262823,1.202945598351807,1.147472317754437,1.1143664067117725,1.4930265741509954,1.638233835477732,1.241927750140727,1.4776906700700052,1.8277989432932402,1.7792844611629641,1.467413099876701,1.1843641926453197,1.7457169487421054,1.6067493959844172,1.568745211865342,1.5883743819531309,1.310614822855998,1.6142781234001038,1.7942870047066708,1.345081753454571,1.155051758230808,0.8396491971769487,0.907167903137125,0.8858516106285274,0.8171147176559287,0.7099991264105417,1.5013204633036676,0.8572020409881825,0.8124982566648787,1.1684361142958548,0.8861263217086834,1.4954477182383414,0.8136412424680023,1.030104015187788,0.6550437337258789,1.1146566273869996,1.0019546594238842,1.3380030781748091,2.336857880068471,2.8525085483924313],[0.7770570882256241,0.732293631258434,0.7405737178823989,0.6177529252759668,0.7411336452762943,0.6442726856234845,0.5494419307039475,0.5486616098544449,0.5265775465696275,0.4486116280290324,0.4633525517925144,0.49138919957703137,0.4974906447774071,0.4701667542526186,0.5560421294379333,0.5509468604085785,0.5400947156447259,0.6255768383535135,0.774097653574914,0.7346668448749344,0.8733436866591429,0.9576148560987143,1.1977967625830472,1.253275652183409,1.149224712642452,0.8843914340122572,0.804850736858942,0.7033567658006625,0.6812024460160276,0.5949896059661868,0.6069476788024794,0.5902474100491432,0.5728311038404117,0.6350754935929729,0.6422615529933798,0.666182367360754,0.704606660946839,0.8815552633300907,0.86003741208712,1.1637472534666544,1.0528513904736536,0.8657108489275562,0.9529998711102792,1.1182812982814858,1.2917110210647704,1.6350457899298771,2.021032769312439,1.3464647951320035,1.479280791202208,2.3469377517417636,1.5293927425114469,1.8017642461770726,1.2430785873961157,1.2079543717362646,1.440210781812326,1.1684277462598935,1.1075295383878525,1.000591230320317,1.039042108410442,1.5858703992564447,1.1378231930252742,0.9890581320449929,0.9022967008753924,1.0270328960401471,1.004215491795054,0.9363867267025288,0.9005144155888244,0.6955313865549984,0.7947722600299983,0.7283898639787671,0.9803794308282165,1.3134387651154784,0.8892387198289083,1.0556797071355455,0.7723638393927629,1.0171309164192983,0.7642815358519278,0.7228353354228637,0.7581389221412526,0.8777121338339227,0.8810633896064682,0.9724182045510736,0.9335574022092438,1.1390898075362832,0.9765732374658919,0.8074637166987554,0.843786918955831,0.7790849512838409,0.7267970378435159,0.7392207921618039,0.6409454510601259,0.7753507958394589,0.7166919126872195,0.6187841084362189,0.6079090461591944,0.6871139798849873,0.7735266085090227,0.5688210923949355,0.5153148623373953,0.6165500925819332,0.5760276818697511,0.6552818039001909,0.6872838225969319,0.7523252628702021,1.012207558917721,0.8715830001008268,0.9650704826329384,1.0277470736175187,0.9223284950633054,0.8584948825753014,0.7894097337741771,0.6691042501967095,0.5323084102887459,0.5202374098078809,0.48848422251916873,0.5201604196423855,0.5959846750631439,0.6554060048616154,0.8571823303621336,0.6096455312822538,0.6196743287273369,0.5544660097088288,0.553860871678343,0.4452038350758983,0.4427627241201791,0.49800788309305954,0.7502756251162979,0.6714724188217741,0.7845585195770876,0.8467879918468245,1.0198250793377053,1.1682097282140294,1.3866952367420085,1.2449606523333927,1.145819537213565,0.846574892769109,0.8402564991081747,0.8849886179890554,0.6596185246565995,0.7294808269372614,0.8032638698486018,1.1083382625006504,0.8239690610826664,0.7772754639532635,0.8681157846456435,0.720227958239549,0.6613892966501284,0.5746677831639033,0.565447702926768,0.5386692011401772,0.6134465086042302,0.5606096816349243,0.7154061227089966,1.1190842784131645,0.8229013753802078,0.5762798694330854,0.531753458737375,0.5796004804207538,0.6130720656121688,0.7539701414146308,0.738938903202876,0.7517919492465751,0.7974701700988985,0.8225549149693704,0.9496314661879607,1.030043614491143,1.1170464557673165,1.4774632589312133,1.4879046734553982,0.9955905945603074,0.9965515553057809,0.8275457674545414,0.8325698922554854,0.9665106626073375,0.8923414110861958,0.8438076075699832,0.7499550766797807,0.868663845463562,0.9817970963723149,1.011363421233201,0.9577504017549981,0.9869515108573316,1.280733951132313,1.4627005321654907,1.498336418813586,1.2777200259057628,1.2640688300722884,1.6304639693694718,2.1801379165588237,1.6145861046184165,2.5943818815423296,2.418264772777104,2.345161448013974,2.073588808138679,1.9737627664440953,2.148769009387521,1.5466918334925004,1.4427391835139591,1.2600765826802443,1.0455371879235167,1.079831202343091,0.930968283757014,0.8386500134130597,0.9162701638093042,0.9705089958024699,1.0216876469402436,1.1636160564637081,1.159483782452075,1.2111366621937738,1.5528760188673663,1.6184505957715483,1.6424007168777077,1.8138519054678737,1.9434122238908305,2.0923253618488293,1.8397578641314758,1.7395467648855394,1.573464041216176,1.3340898652233144,1.3787961055746805,1.4089156520498802,1.9351609332195667,1.6963221726706872,1.6257546400472145,1.5415888551878774,1.5715432392930457,1.3708877432867916,1.9196107838734846,1.8698453588448047,1.4673636128322691,1.6942511741273047,2.2360621876409272,1.9516208556644974,1.7338549253786812,1.9602897780110007,2.3478705965875557,2.0311656329349184,1.938958616273336,1.4196089660237075,1.3897077480842477,1.5055526120294496,1.1913228963890916,1.3470451344109828,1.1778592945859006,1.3678499907924273,1.3017760139995018,1.0212549022393937,0.9601487715682767,0.9915884304536443,0.9879862522889932,1.0813198061623626,1.1765662743105874,1.2343956252520187,1.2456298964664412,1.3678950702012223,1.7134661414346775,1.5358501812097183,1.4161072332755935,1.2787769761449,1.1652769560250424,1.1034444946790711,1.2331094633958923,1.1964731007891747,1.139894588882141,1.214876679363708,1.3242590043682352,1.2490966721628272,1.2074586282234365,1.6166022125776796,1.7059216521229186,1.2968735824612234,1.5460104839265567,1.9185735717676369,1.8202491695582181,1.4800331653322125,1.2498275277585496,1.8759463045793434,1.7647067531354887,1.736007716314988,1.7673379346638727,1.440379328655077,1.7177147716299976,1.9703275016871427,1.539901560395248,1.3360223296352516,0.9510740206210487,0.974236757613847,0.9820731001357819,0.8955468314605055,0.7417498918948556,1.5061910861342507,0.8968237657875185,0.8809352894043848,1.1056932912991737,0.9318760827010814,1.5614636392114243,0.9010344241554901,0.9862461910543004,0.6903628412034892,1.2115749001136717,1.087806584065041,1.317855498706955,2.364720976339082,2.9375436288633776],[0.76898178621137,0.7434339571338947,0.7414039636669605,0.614640657957111,0.7681777272756993,0.6580616262215111,0.5883240779828198,0.5958312402057753,0.5684220144833704,0.5073855362518171,0.5106852695912162,0.568353247631936,0.5772222489748162,0.5373872901134911,0.6350893285528731,0.642973518445748,0.6184694838225395,0.7107082270059062,0.8697865792071605,0.8073838579280445,0.9224473646989676,1.0051496010432504,1.2613939877910505,1.309087154047604,1.2051417282704286,0.9460680430065541,0.8813348863876633,0.7903118623906766,0.7686875343199668,0.6885196370406634,0.7033638537735936,0.6854751050512936,0.6691970925974562,0.726544237960692,0.73379314858076,0.7585888194426712,0.7949295561595389,0.9673991504236944,0.9432178908251023,1.2278316326246008,1.1169580671256831,0.9364187625387854,1.0223955118466712,1.1604145441054146,1.30318690711457,1.6198784958417995,1.9776798633811767,1.3308395840839577,1.4753170933951232,2.342016964895449,1.517891730282632,1.7589888934669196,1.2723330481229733,1.254953097788888,1.497221123757564,1.2012470229471628,1.1444656567587541,1.0731476299051546,1.098379597102451,1.5927303852064782,1.198235000357092,1.0430850270177432,0.9735812760915891,1.0482443892670275,1.050906801810724,1.0089175824369134,0.9259150662367576,0.7691850596867446,0.849928622077894,0.7762092393726899,1.0236602794426362,1.339092391482695,0.9197677685839863,1.0985909580435707,0.831630160933243,1.0123863168422316,0.8437096927655384,0.8092992868491237,0.8388672941133933,0.9555895220437488,0.9674819563674809,1.0426419071147337,0.9950181691321063,1.18312900630122,1.019143929898269,0.8821616984132129,0.9269716320871325,0.8651505475660336,0.8111126365374924,0.8341591834045314,0.729836965329775,0.8345879706343965,0.795854584811396,0.7052715010764068,0.6940845805315566,0.7467006875090624,0.8443761092979163,0.6530822984556595,0.6002065729156338,0.6844384921030019,0.6602002524698946,0.7282905780542664,0.7685603495082302,0.8060000434227959,1.0437152595850114,0.9095141850671736,0.9909605814055329,1.0422281630070225,0.9424562155932894,0.8904387692354386,0.8277726538468938,0.7229200473670937,0.5985717990926529,0.5859151222892608,0.5562225368842856,0.5946620418421956,0.6809875435225707,0.7343063159114385,0.9270267084670003,0.6840861180783144,0.6686410959750122,0.5929120381306072,0.5993440289675548,0.49313731406897443,0.4976629998215929,0.5642777644419869,0.7967792816038675,0.7180817528562674,0.8186647411022471,0.8735625697774592,1.0211137532147383,1.1581014413001631,1.3788726990173419,1.2568174039083533,1.1632707129781854,0.8748305439908118,0.867080326068823,0.9228083475050781,0.7078199190712431,0.8016060272155408,0.8768786654537343,1.1669345901189563,0.904614889013187,0.8596406453861714,0.9461060125978249,0.8091589869312316,0.7494577831035354,0.6540448136472744,0.6404733812492692,0.6017481955173754,0.663259280245176,0.6100920170000504,0.7706370149597643,1.1304372341579851,0.8716273188843398,0.6447074842026354,0.6181987060468248,0.6466189328631184,0.6998650833482906,0.8201229287042817,0.804753087625541,0.8304386483211545,0.8697230458859864,0.8737646447895431,0.9754733727293557,1.0511170727220953,1.123360646903505,1.4851849445577168,1.4887482185313128,0.9911701365893019,0.9920869069333207,0.8655374951660689,0.8687445641778134,1.0161087772783666,0.9537264565446638,0.9043073683723465,0.8247319707167764,0.934200111920223,1.0421151558455615,1.0579206445981826,0.9980008050028386,1.0264809406890512,1.298906683712406,1.4672520106121558,1.5141635908757178,1.3008708556097748,1.3032674859633766,1.631388718352292,2.115626373313488,1.5947853658011948,2.559039187463925,2.3921540645119173,2.3276609484334716,2.061242218022588,1.9473266544299546,2.102540986904762,1.5144039495823773,1.398591851162475,1.2183999032915656,1.0278367119491447,1.0509011611791923,0.9354010302089517,0.8550788675721984,0.9258660252184575,0.9711853567931175,1.0486900865739257,1.2210980449766018,1.1880265248241206,1.2220739293869258,1.5689936404419482,1.641637428846529,1.644683067549791,1.7954447213535016,1.9461637692601703,2.071782294908187,1.858963788609757,1.7341502718509554,1.6072529758971426,1.354214621378856,1.3780250623749097,1.333552991586377,1.8301174502600794,1.5871458667153615,1.5623568713000289,1.4600779267011679,1.4678386712955172,1.2959107536862522,1.8046676591765998,1.7374198894595447,1.3794749638364012,1.5969201374562652,2.0977865984654267,1.8078789254777416,1.6250974610906816,1.856671045698181,2.188960936107448,1.8938268605945863,1.8411154388954811,1.3502729772507402,1.3423438970530668,1.4426137707166868,1.1528431385157787,1.3368341822209746,1.1739672003983452,1.3806840449408169,1.2933807270203554,1.005959522483597,0.9714631937538184,1.0077867987932905,1.0000911712775655,1.0810531069763487,1.1690812278257843,1.2330543856061504,1.2389086759491312,1.3431294402180614,1.6900326627697173,1.5165078527080673,1.391993726036544,1.2705680155257537,1.1511033688584562,1.093748748902876,1.1964194003560686,1.156506233736495,1.1334858836220252,1.1719341596285384,1.263462660776816,1.218198666659747,1.162704430167595,1.5069072214736803,1.583809348335393,1.2413756340064346,1.4482594196700418,1.778934807593108,1.7331753666276717,1.4560756221173592,1.308412146516844,1.9723895634862345,1.907905272152299,1.8045085013892446,1.8560696234818859,1.515832594079157,1.7843294890821952,2.067539203812432,1.6659861844401562,1.474839517505708,1.0342652054187256,0.9949184793068436,1.0545219331126303,0.8959341952998975,0.7673182882757984,1.5533692102735088,0.9209679843245779,0.9070188584317588,1.094793989697162,0.9796516732232335,1.6224667127942962,0.9515205950498341,0.992366998061768,0.7077364706513761,1.1867613259703127,1.0343122571281564,1.2621641325268214,2.273853338453698,2.8219264110980764],[0.7770573541594368,0.7333043793167028,0.7551979645207022,0.633335188692029,0.7309297839569147,0.6693121748687457,0.578787241012333,0.581295800870397,0.5588113432923005,0.48508627689262823,0.48708241673201325,0.5370047227750888,0.5422124893089396,0.49740538127145645,0.573543583889622,0.580991620827155,0.5578185579391848,0.6391540167119453,0.782023902604768,0.721076592800001,0.830602563159552,0.9052883921320217,1.1457197068784482,1.1916026972895108,1.1350451099533512,0.8621474965416512,0.8228013025446701,0.7378153938258193,0.7158950842311389,0.6364929219577813,0.6301412829169707,0.630493090278118,0.6049917947926065,0.65119382132908,0.6671841350643628,0.6872589797318767,0.7330013756219232,0.9045165337887544,0.8904333647956789,1.149398211225366,1.0428648901753488,0.8839611505817853,0.9700761081666929,1.0948924245806038,1.2489988339315927,1.594175761186616,1.89214847696765,1.2673068484739456,1.533525521813109,2.394359753929971,1.4424326497414153,1.7194485803258,1.2383277047698233,1.2114660481270403,1.46789113155935,1.127731825385065,1.068653304038063,1.0119232888878011,1.0244494111508393,1.5057497853069093,1.112303627888695,0.9581820635128822,0.9092290632766481,0.9525360771217187,0.951905777181159,0.9401905499513611,0.8341446184957774,0.682531769582332,0.7804051018494454,0.7122415020649505,0.9552452271286888,1.2361832062481284,0.8247437986214818,1.009050544378823,0.7339337883833608,0.9368025204581295,0.7533675390413824,0.7131843267728161,0.7558727029794424,0.8692312539622015,0.8999143566421396,0.9921912483884551,0.9738915411560694,1.1266537668854961,0.98007322901223,0.827487445663986,0.8743970044688011,0.7928306569398978,0.7318832113142945,0.7589778509164021,0.6416783951687535,0.734777428197194,0.7100687566020586,0.6260439128877978,0.6212604963101923,0.6644474973918086,0.7651146923937507,0.5863737786785304,0.5470575223542696,0.6685114322435819,0.6224326923286899,0.6773363942715647,0.7044063505113176,0.7644769729995926,0.94161241447558,0.8887440161966804,0.9352607011363379,0.9718220539504108,0.8933565978643088,0.8531122918405275,0.7908358591422231,0.7107596506149856,0.5788849438745359,0.566570364446203,0.5250683699326327,0.5662771305719243,0.6546322182467622,0.7020502261329425,0.8734932173302099,0.6173551649734179,0.5969791650359644,0.5247408568461185,0.5523352512245902,0.45777988028842653,0.488239758245092,0.5483837922477084,0.758162432952401,0.6862839790929509,0.7758720034168114,0.8307865190832991,1.0089168057276445,1.1193315815035338,1.341787377952739,1.1854672594121338,1.1282919876771087,0.8416254280729831,0.8068379121789849,0.9154102667464182,0.7197624572640743,0.7813068357843754,0.8746540629902475,1.1287402294914124,0.8766756632026124,0.83583439694806,0.9012039571595314,0.7681664430272953,0.7245955009890162,0.6191171677558481,0.604143073259386,0.5968107801571809,0.6496482096790334,0.5921844387711016,0.7492223952077959,1.1521156065158948,0.8531297241354925,0.618415231337831,0.5809774169818477,0.621701535831042,0.6499243732265545,0.7705202799572567,0.7663574947396598,0.7882748982977014,0.8253578497404314,0.8155426090604438,0.9069304376626645,0.9790984263195925,1.1119510491420725,1.5540729031548548,1.6258271016637833,1.0733692000256037,1.0207609198050804,0.7977006852481973,0.7843291643295027,0.9695396734696842,0.906304005507611,0.8535871473691681,0.760382472119005,0.8891928951715778,0.9751947045303556,1.0194265008583698,0.9589680284584122,0.9916976876785115,1.2413101374612616,1.4024049974836927,1.4727790943623977,1.248208889171307,1.2104220555336178,1.5447151341837775,2.0618083867834844,1.503904581416147,2.3751567497447064,2.1938525836690626,2.1818632475950666,1.9672049763202728,1.856885719156769,2.028711070183486,1.5319499656781217,1.396112245016666,1.2282689972634102,1.0261803639841065,1.0201157015733269,0.881338678683,0.8047714118102021,0.8679925781622546,0.9208354891604338,1.0023480359465495,1.1298437157784185,1.1249541866633888,1.198000730525728,1.5467743045238886,1.6046838948984508,1.6288715634893742,1.8109643743177561,1.9388163461838797,2.0679912938450435,1.8103358808616536,1.7054771088222573,1.5032207906279311,1.2773562863381758,1.3244838639040397,1.3188171631230607,1.7676759111656148,1.561467026883644,1.5434393362676468,1.4204249715516124,1.4202369173934115,1.248766044919083,1.743506085636642,1.7029702260111448,1.3678918708622196,1.5813438665317903,2.076952816695946,1.8668488379837902,1.6660429578887306,1.8521453501313083,2.2611129329069675,1.9696550002722655,1.9167351442399807,1.3758692967772796,1.3083331959359101,1.3951236982508504,1.1012852026628617,1.2442488714249906,1.0804549406948272,1.2791314039805848,1.238435794597806,0.9484400312319705,0.8988043564640673,0.9467070212096286,0.9506137740627729,1.069099376991515,1.1800798150217529,1.2342362283636568,1.2386567721859483,1.3766142121625795,1.7233511647342836,1.5344137919115828,1.4066404819561522,1.2558605695237501,1.1206749559664673,1.0541866625706195,1.1412485007285165,1.1223896435228742,1.0888707841008167,1.1355299943569432,1.2336018121316115,1.1770409884335138,1.1463927289547529,1.5169882776615724,1.6193064956565195,1.2413413944534613,1.509081433114405,1.8267706797750665,1.7522426239802693,1.4529182397246858,1.1929334402871008,1.7980068888142984,1.7145454276158303,1.6524048089024177,1.727521979390969,1.3996497568410144,1.7097467123202879,1.9692587610880066,1.4962450203631255,1.2526563636218964,0.8590493532258284,0.9203397555111198,0.9093421171786429,0.8804025977645176,0.7354092533982037,1.4575580593939148,0.8943221302873274,0.8676395484262591,1.115799392543596,0.9144061431212018,1.5295328763214389,0.8918305079395907,1.0079151369309005,0.7027270853825011,1.204065323241512,1.0840133607898625,1.2922851549948893,2.334249701103657,2.9214549547927238],[0.8899155951486468,0.8271383756296038,0.8592294077802605,0.7412950488728877,0.8115038673738701,0.7635889499002897,0.649738088782152,0.6545718915746446,0.6195835136230279,0.5229879158612691,0.5235761253198021,0.5685724187437248,0.5679007849435537,0.517246178655851,0.5871718828141997,0.6012872586916285,0.5753935149598204,0.6546330784850269,0.7870911616883597,0.7526881784474498,0.8738689589551191,0.9820337421127191,1.20820932283584,1.2622424254557454,1.1747146745516603,0.8950970391580769,0.8586495953633303,0.7569785370411922,0.7359692162176417,0.6721345191656435,0.6474261459454821,0.6675359967551897,0.635966644582023,0.6809847533729844,0.710829492804159,0.7282147354945936,0.7871137046009811,0.9569773189893303,0.9619812207226918,1.270982262931903,1.1359954857594736,0.9394734158380358,1.0480415778297507,1.1819977606224619,1.350619093921223,1.6887685960529455,2.021040379518402,1.368407941530201,1.5257225176344889,2.4069485876444943,1.5622919081919298,1.8011764890848456,1.3679089405462275,1.3152893125030958,1.5806089397917336,1.2440249185723988,1.159418019206666,1.0969483923015468,1.1163202387331093,1.5761213320350174,1.18425950600832,1.0189868000326598,0.9571398118623424,0.9930886471279922,0.9955818695242916,0.9966502621562808,0.8799016076118362,0.7025970497265009,0.7733155170313323,0.7181186265559003,0.9496833452985006,1.2467059735837966,0.8349677312336076,1.0085864827380466,0.750005960449166,0.9760264338011212,0.7778261240676979,0.7449399245560628,0.808902186874965,0.9443216967548889,0.985831867196609,1.1022713426134114,1.079626383167122,1.2645844316683792,1.082903146898666,0.9264600908434392,0.9409476397827314,0.8573825565860416,0.779851934907741,0.7951086006922332,0.6599280913134007,0.7631134713124085,0.7177946407826415,0.6442136375027291,0.6370341468712041,0.6813184342930284,0.7687846075211492,0.6126094523459045,0.590151950612772,0.7240801676671359,0.6853979330130202,0.7622838519908323,0.7892032754387092,0.8631336983854375,1.02090041388504,1.0362781732845585,1.1014185308393156,1.1342314375922167,1.0535212479241676,0.9872168379851054,0.8983134448283568,0.8204324590549643,0.6528009753547611,0.61899064515287,0.5468369588845223,0.5737327989378856,0.6518374720055858,0.7024779934290735,0.8743737906087371,0.6197687095186207,0.6009182847457498,0.5260581212508213,0.5456352329143772,0.4760705315125242,0.5234041601437389,0.5962736987028512,0.8245251814925519,0.7861907319916437,0.894977494839622,0.9967731627800012,1.1920576941510146,1.342905402986962,1.5664494372245426,1.4163611516059538,1.318290606642499,0.9633849691414028,0.9097159361536123,0.9702740460726481,0.7482852671648813,0.833781774468752,0.8776832428131061,1.155456877409677,0.893014375567014,0.8641609347772514,0.9540711485711396,0.8092188387923014,0.7625578458529532,0.6716572103017343,0.6780130980468624,0.6592818320214338,0.7335759043768665,0.6674251624902677,0.8263592455826712,1.2315001261412233,0.9054913168286329,0.6879318977830341,0.645704047099211,0.7099426515323628,0.7172519384686734,0.8703248603591817,0.8639118514972253,0.8643619224107041,0.9070800508249425,0.9171661973007802,1.0348017997184076,1.0883105925471643,1.2439869343717267,1.6270964555896303,1.625544631745263,1.0871307347360513,1.0418276102585853,0.917882302259775,0.927921380302913,1.0993080511542366,1.0265471840645348,0.9730031092364119,0.8448377172849181,1.0098663266760586,1.1140357655417297,1.1740428261802385,1.1059325425006712,1.1385582537871093,1.4363839972522987,1.6161631675811556,1.6610444926820929,1.4133351924652784,1.3586913855527147,1.7218060252496394,2.0371148167615822,1.6795381306587212,2.4722470460394863,2.266499650429987,2.310986806305058,2.115802299141223,2.0916765657354386,2.305590165999543,1.7374873280656185,1.6458926338573774,1.4425162642097689,1.2164355522398627,1.232645507179929,1.0489400829944109,0.9460353789434243,1.005031369907454,1.0662574245275496,1.0669096650177778,1.1796850533313057,1.2050435275818785,1.2668152301926177,1.5837385049380257,1.668521579052583,1.7116620410905508,1.8785213109162846,2.016072430602929,2.2036611122068526,1.9169346918158576,1.8278259932562255,1.6225869897683334,1.3852705307322521,1.4477625344179916,1.539264982449961,2.077796675717917,1.828881924372251,1.7414975188295398,1.705920387681973,1.785239998857569,1.5759339679428734,2.1683553196145513,2.1070077316840536,1.664234869285392,1.9337168349142908,2.4928241614291684,2.2221222187063585,1.9890511562407855,2.20229176867161,2.647923026122941,2.2861529183977285,2.1957323159626725,1.6105477131970076,1.5884945899589091,1.7161468610771489,1.355891704400117,1.4591762864269768,1.3083567148362008,1.4278951462347023,1.3910416658682931,1.172640639680943,1.0836745508101384,1.0828432000396924,1.0579101190932902,1.1479111498158663,1.232892046986125,1.2825043945686412,1.3217463292511573,1.4556462336776164,1.7812634050184233,1.6204514970964583,1.5167102515988595,1.3664355556954897,1.2640963358852106,1.2048675063717649,1.372049002384309,1.32347290688449,1.2269146672863203,1.3551218585556046,1.465545490454146,1.348198108137252,1.3389489095483014,1.8106883890595702,1.8796182431160524,1.41528198316379,1.7298701332293278,2.115816790110974,1.9434640640706964,1.5525838776712768,1.256293508153097,1.82484437856437,1.727394374925357,1.7734435266328228,1.7965383139081754,1.4613268573400802,1.7422122893714398,2.0029460186831236,1.5405495745135063,1.2862018529272796,0.9846248222369435,1.0508352258242424,0.9834180747120614,1.042435440024763,0.8542932947190988,1.4011304510390248,0.9709827178718142,0.9626150379372476,1.1139593132967405,0.9659767359339044,1.5216277988132383,0.9925414507487514,1.0508147612319336,0.8164929693111346,1.3370080970283629,1.2699509106784541,1.4472993357149844,2.5374927406657823,3.2153136585941797],[0.9690271511717994,0.9266150816483448,1.013004348110117,0.8398723833701844,0.9954094302539039,0.9247879971156858,0.8818264146948273,0.9201586557218702,0.8333830484017469,0.760980930270899,0.7344347311579038,0.8351251104577149,0.8414717568808345,0.7476554564823632,0.8528434853879492,0.9056735783702008,0.8650768642402212,0.9603147502547229,1.0906215775525332,1.0788403148596408,1.1477592513522044,1.25500354343545,1.4915428671180004,1.517847670635897,1.4661164253035834,1.1810743303936608,1.1724076190882018,1.0757700335357694,1.067863518962911,1.022071201868368,0.9628406081737826,1.0123085568650245,0.9935067935719131,1.0475367994857943,1.071650476131031,1.0851875422938138,1.1603862609636657,1.3213681944959443,1.3283837163473793,1.6360112152260455,1.4872830656448497,1.2774246922337444,1.4007540818994768,1.506379843186916,1.5213919494667136,1.73954927615711,2.043344581673156,1.510673777972929,1.652803943200624,2.470233482424228,1.793602569588735,1.8822827897576837,1.6608304011978066,1.6241020643033515,1.9167175299874786,1.5734214580017114,1.4986267609381148,1.4591916845359445,1.4742993786993572,1.82007432945147,1.5153905975121338,1.341717148529218,1.2740143424141777,1.2451020976071596,1.2971273900839349,1.305318507301088,1.1192572888038677,1.0100169694481373,1.017969092228083,0.905548555019264,1.1070436184943764,1.4033450006074772,1.0060307486607347,1.219523622078407,1.009031897092022,1.0912498120754308,1.120801705558873,1.1039443551226396,1.1714720126347073,1.3118742014560276,1.363338499367631,1.4543946586527596,1.4329229174139753,1.5666059458391666,1.395655414571213,1.3067141388122627,1.3157048710567465,1.2318268642830448,1.1403590130335768,1.1549097964390982,1.0142532560113475,1.0325463257902214,1.003986617335462,0.9477691252399939,0.9369628272824453,0.9172154478414958,1.0016192563703843,0.9300353633819912,0.9063289357235704,1.0172154044029855,1.023871965799479,1.1255303088000106,1.180582333242289,1.2110317779916788,1.2833339503232926,1.352759169302961,1.4443942008912882,1.4834942974203589,1.3918810951492857,1.3371387413174802,1.193634519491189,1.163352739332623,0.9768889801662146,0.9329964587813204,0.8270335812667684,0.8478535016672951,0.9316868002522268,0.9550783177847457,1.0684316117101686,0.8843131060163125,0.7998988635181445,0.7107226215076548,0.7209491291384752,0.6742316996920928,0.7515719485228759,0.8962645186782496,1.0554145354829563,1.1022185346834745,1.2107749458257635,1.3444706705096823,1.4893029271332263,1.650136568393978,1.8707313255672668,1.7653592063464565,1.64693597673569,1.2684131742135374,1.1993634974075955,1.2371094079624132,1.020427918428455,1.1725486583479936,1.1572537866247148,1.3750290078544727,1.1968180672324509,1.1782618369846336,1.29343873789883,1.1627865350181747,1.1039547048090192,1.007341735863662,1.0396032735804543,0.952524136090081,1.058499274789325,0.9490620572961823,1.1518835005716592,1.4512934276921987,1.1339579029762636,1.0156216563942375,0.9885072246879207,1.0578250286698867,1.091851650720666,1.2442819291358607,1.2301425603609122,1.23282722618741,1.2652142071050214,1.2585755642571217,1.3163647960930625,1.3550333496438642,1.4534451424328994,1.7361628254731034,1.6752943658475419,1.2534001434418287,1.2326153091365402,1.2435352471795718,1.2729354778645368,1.4527300555261762,1.4028613964472347,1.3596081536899525,1.2317860664035725,1.4030731286131544,1.4966850474079691,1.5421258035595657,1.4480011363878937,1.4964419532567375,1.7735614135813276,1.945477016733956,1.9879674278691724,1.7388614851225264,1.704007983979017,1.9692631536946659,2.010464508452278,1.9980593369714656,2.7025754122428425,2.490556303215387,2.6053585005830318,2.409849201938698,2.3795781927151656,2.544065200088462,1.9593164845175126,1.8719202154861037,1.6412629196312056,1.4679068514527813,1.4683684106233694,1.3238843277499834,1.2206914975316943,1.2362039408594994,1.2770247944532946,1.238767340661592,1.367046921616056,1.362444861793672,1.3661054669133483,1.6172725356128475,1.7364389215921026,1.7535097788254448,1.8399514808117066,2.0110064643877434,2.195647505001286,1.9935299883029385,1.8679195204207444,1.8115208647460253,1.5466873639276921,1.5626733923753062,1.5806867093030275,2.0515314271991705,1.870439035024429,1.7650225972410147,1.7783298042785414,1.8795799940164917,1.7501941903903844,2.260609201068752,2.1286359257855563,1.7606253199052713,2.0385295691181096,2.528696496499784,2.1904111784838327,2.0385311932676786,2.294129269326078,2.5831210998566165,2.2502414897510663,2.2686139683772604,1.744488533791292,1.8257179987724244,1.9344595385505754,1.5859911188562594,1.7344400870811758,1.5992505961195111,1.754015613118151,1.669465547322734,1.4856465945250397,1.4465065655086682,1.402294641503886,1.3005729048763293,1.3180695004171763,1.322067718615924,1.3646431837776247,1.4132322896866278,1.4753879816949271,1.7456937028782438,1.6199731654610514,1.542227788579277,1.4559122374864721,1.3936125609799523,1.3764910037385214,1.5142896374646169,1.4414102026825584,1.3686739227403921,1.492823487077987,1.548904783044914,1.459255682301293,1.4459274083518903,1.8130061815636018,1.8091090921430522,1.469671808008508,1.7289171384564146,2.0616618249088106,1.888811316490677,1.6075046343262689,1.5019258821504158,2.13065049292806,2.087751738135841,2.03534920818684,2.01409960440369,1.666766260499077,1.8495331760832436,2.159597920367313,1.8182998507663404,1.6579828671044174,1.3497927667721081,1.3058685448291243,1.2807652208645481,1.3037532621698735,1.132978513559857,1.5106279117770358,1.2144883351289761,1.1996995233075296,1.234652218790566,1.163579958865261,1.5802563934347342,1.1329507664036151,1.2409135232240478,0.9712353437303491,1.447470342506125,1.2696698432987552,1.4631243946211416,2.430368727732312,3.21540587236687],[0.9037960784824737,0.8580067871532628,0.9018753433117103,0.7562143719303244,0.855251084017467,0.8371088844552691,0.7966273373629537,0.819940773441696,0.7847983078475113,0.7350564987020425,0.7224244994843333,0.8080941777603711,0.8014925139835076,0.7274719526931723,0.8094746065557513,0.8543853525158396,0.8096070883291504,0.9007173125718514,1.0302694483305328,0.9836899697174271,1.0471153267608229,1.1234763423494802,1.3661976914638538,1.3912501633477687,1.3523962155703237,1.0906465074826444,1.069076271170456,0.9990641214957656,0.9871597117646623,0.9309043425233533,0.9023085363834848,0.9222698537377108,0.9076516842857432,0.9451581837911245,0.9609575752079271,0.9809136797336703,1.0322663774593652,1.1981404901635118,1.193782384507788,1.442977947083993,1.3017970325498305,1.160073143959763,1.2714255379840484,1.337334997718978,1.402588085896105,1.7005547130739005,1.9967782941437886,1.4376856131446398,1.6907032510104478,2.5783528485149754,1.6668414767876427,1.8123353547430523,1.494983844088454,1.4672311954054764,1.7501279111057448,1.4102407696554846,1.3357853180780928,1.3104782512012907,1.3262347418250884,1.6715169631678966,1.3528059601482432,1.1920884950241335,1.1767675468044823,1.1260919435268957,1.1717304434686078,1.1868922898746612,1.0281595708470253,0.9385172094385781,0.9647885400785788,0.8836836840173864,1.1029887656330026,1.3442421825167705,0.965567716592718,1.1709287084036144,0.9472497408397907,1.0110863744960128,1.0213472077001464,0.9960913047447452,1.0457732123580983,1.1706796254996814,1.224712453949096,1.3051641127151636,1.273729429433687,1.4262243728603736,1.2514330378069325,1.1477746657571992,1.1773980131723962,1.0956730312078067,1.0235313673616608,1.060714925595037,0.9249556386345146,0.9529876253358105,0.9587682268446617,0.888117125138016,0.8805229341544378,0.8644372841134095,0.9536516690508259,0.8616105871765377,0.8311412362455437,0.9324320394008456,0.9033575040505704,0.957372671177649,1.0105755041410778,1.02229216228297,1.1169888741077578,1.1605619076372975,1.1902889854235008,1.2007719582158312,1.1213262407251212,1.0941153905078371,1.003718286884623,0.9871781845537214,0.8495279718685564,0.8244206729316197,0.7741502357870284,0.810283221607867,0.9136900340283658,0.9260528353744183,1.04609587415819,0.8491828688975043,0.7794130603963273,0.7082880029070469,0.7237462135308028,0.6559364421749079,0.7087440230365444,0.7963189681250505,0.9007533716350609,0.9214145498792474,1.0019186723725109,1.1002401043018657,1.2398450776220018,1.3591064901988954,1.603226845105603,1.486003057578196,1.4018366663899426,1.0730563079977162,0.9892960194002818,1.0828691807574975,0.9161453134054774,1.0678142756524622,1.1088378378143995,1.2843405196876285,1.1177112188278102,1.0955129094853948,1.168527310984661,1.0607666651987038,1.0150150207438249,0.8987626412863347,0.8997465387569915,0.8579127395141647,0.9012326051724259,0.8414947907433934,1.0066624015508632,1.3579806303849222,1.0397545032460014,0.8875312274600295,0.8782848407324109,0.9042750316979477,0.9532115919538486,1.0624505785916645,1.0626233615434866,1.089987604235262,1.1238915570213264,1.1039433350824346,1.162657480101293,1.169536465384994,1.3574457019364379,1.7674585496057207,1.7734228271564134,1.2237523517496212,1.149002418661723,1.0498027004178936,1.0475258416052413,1.2418670065037314,1.206197543007245,1.1579305704560678,1.064116445218274,1.2175939788624786,1.2931075491219248,1.3288591292571597,1.2553890895171018,1.281003073109088,1.5148222399606353,1.6636950249435283,1.7357789811174253,1.5206887814148797,1.4818224267533593,1.7763305006620824,2.0218448405298726,1.7410910383887326,2.4402803129560993,2.24218729690035,2.3265440643786994,2.1539475895521387,2.089718927717773,2.2473011286592315,1.704337733311908,1.5771945648028016,1.3616406114017614,1.1958590963413593,1.166092784618467,1.0373465969926647,0.9539919968620003,0.9684344030303174,1.0117161069417844,1.031613816395889,1.2014691138726603,1.1713535933878354,1.1883502743007806,1.5008241344608169,1.6097814726745785,1.605944285556272,1.717316246935242,1.9034270651647354,2.047093096022128,1.8647055865276558,1.7097415333990618,1.6363841593221709,1.3531879618148734,1.365594673053888,1.3205513926926187,1.7966084607789692,1.5773913201368028,1.537023714447257,1.492356935820646,1.540012288897763,1.4025871688482723,1.900964710820211,1.793908892525931,1.4643231051908188,1.7189491012984777,2.1779701442020047,1.9065094549614159,1.7513131406759166,1.9753334637852105,2.3083681430190555,1.9949206131160806,2.0134330601856516,1.4625198334093432,1.5018448312526866,1.591768993668294,1.263217273607358,1.4206036786048797,1.2742793155025276,1.4504155256408438,1.382523100576882,1.1560780558221153,1.1272206501915631,1.1225604130530145,1.0423123645145569,1.0893462976163424,1.1376035010890975,1.1927407185851773,1.2153687599945908,1.295814912094749,1.6104223412379965,1.4601766201426687,1.3497501518937898,1.2470435943032452,1.1498824062048596,1.1165691655332657,1.2335543328650396,1.1740215145434192,1.135094049037432,1.2095083038001815,1.2779542081790793,1.2191917116172784,1.1844885963224867,1.5263583016299158,1.554059398187766,1.2161643067991268,1.4762169440357158,1.7775630366071706,1.6691115968400279,1.4089533774437828,1.3069439325241758,2.0118756767232258,2.0462684419691985,1.879725015794853,1.930055815823068,1.5417792903154373,1.7718936062019695,2.1143084083717567,1.7473128594520366,1.5508066892918462,1.0916343550174434,1.0222608527787846,1.0586910863258514,1.0439747631573348,0.9188034361964957,1.3928702638241122,1.0104639739520762,0.9848456969023358,1.0856204860159298,1.0128916901059826,1.5169018588837564,1.017073837573675,1.1220727437326716,0.8605072139685646,1.3801727455233792,1.1819978322545246,1.3685350308522544,2.3449683492621967,3.0422218418257763],[0.8750642822080601,0.8171310279863764,0.908314511972087,0.7678683955229261,0.8437119463401124,0.80719808369759,0.7198403929973938,0.7425981078642426,0.6944990227255518,0.6186943121994366,0.6134281203457442,0.6927462814052325,0.6843018379592072,0.6031345977442994,0.6606715299146829,0.7139751911038792,0.6808796316185001,0.7413540013936493,0.843537907491203,0.8112686667033735,0.8781961079165559,0.9469380742901798,1.1857755450043315,1.2059263627701164,1.2050692827662663,0.9107441895548787,0.9101264559067719,0.8326973240835996,0.835351818622053,0.7919750664493528,0.7290816340121548,0.7891521402426778,0.7603115183972218,0.7824462616328195,0.80324784838487,0.8166814675108808,0.888883641674287,1.046264181982154,1.040309804083923,1.2675774659288301,1.122953613381185,1.0103361590294027,1.1104775319172893,1.194182344208806,1.2690719064692886,1.6269540756806984,1.913235931879953,1.3480525394309368,1.7230743650514007,2.642253579459716,1.5866495226626025,1.8084803376753866,1.3746104939308281,1.334050287753374,1.607800557858864,1.2749580128427436,1.1943894995361466,1.170797407508682,1.1811157838202797,1.5515837464724689,1.1701734031317073,1.0071800575624836,1.0231040817745236,0.9797025349945458,1.0069832042226052,1.0043870249296056,0.8849985892086388,0.771746122222427,0.8391014273612042,0.7820718942413567,1.0123846458680321,1.254375314266039,0.8687592348525879,1.0267363781973196,0.7929637620367093,0.9528002490631061,0.8489313118509774,0.8125733647461691,0.8575577949113822,0.9939939781674882,1.0843288886576183,1.167316653106361,1.1895026545481922,1.3931216731718385,1.2118860788831347,1.0246614035407933,1.0319958149737563,0.9450629893415247,0.8609559788287765,0.8838633275681006,0.7462596612173873,0.7710049661300845,0.7667846849845718,0.7243956179867137,0.7234946820044935,0.7233799819115403,0.794229962409769,0.7268905173889467,0.7004026327406592,0.8405125340666967,0.7870019319166754,0.8811279774335092,0.904858699493588,0.9958885418018549,1.1816229198304151,1.1634634984793046,1.215960945563184,1.228326052780083,1.1464121982486162,1.0756317223848246,0.996103506116041,0.9289624162391374,0.7629774373392634,0.7277497916519958,0.6544072318200586,0.6805837709591372,0.7671425573991053,0.7800623674139405,0.8891006480305043,0.699432526099254,0.6683952000374115,0.6072519240789057,0.6384699913154361,0.5689883586681743,0.6246016678295121,0.6969463625365004,0.8828192449703606,0.8862423345336661,1.0016402784149507,1.0929390703812087,1.2799389651296749,1.4102098983319482,1.6143329889214701,1.4541953410693127,1.355622007370312,1.0496720946607345,1.031869697502878,0.9740754163184119,0.8219763326856128,0.9167581583790778,0.9701868291884834,1.1508214423510912,0.9486772102054347,0.9344416389464576,0.9959927268996764,0.9019251318879872,0.8729627539821808,0.7784747110595654,0.8044663637817058,0.787221211051474,0.8306113743820472,0.7645384655592021,0.9367414207368782,1.253586012329463,0.912656628814191,0.7846993741862325,0.7581489168831528,0.8329602637575113,0.8335727733124529,0.977126744723868,0.9633718387180751,0.961536139321742,0.9799582577875374,1.0042755163639268,1.119244048841798,1.0688917596174934,1.4322600157251115,1.8534473939844618,1.9628731370385788,1.383221167820866,1.3354502039714446,0.9815298773476336,0.9946683361592595,1.1290628484296,1.0914185532819414,1.0680812831673567,0.9448556716356706,1.1181114397997767,1.176581268197631,1.2481449595569614,1.218146445777594,1.2263563142242646,1.4531486673075151,1.5982723386720599,1.6338040284185142,1.4203805405322918,1.3182228395091624,1.7163073033471217,2.136286240879775,1.6825170201891693,2.380605785911481,2.1686397648657887,2.2631158774953866,2.119965728029906,2.0731050592068723,2.255657942848725,1.74574063318906,1.660149368955851,1.4855827405465996,1.281771548556621,1.2921732806267479,1.1436077274992005,1.0470421670975176,1.093516167370852,1.1456172540772656,1.1505358360441449,1.2444089169559724,1.2724613700749696,1.3289990928330944,1.6003351309993419,1.6855502390992727,1.717350770780739,1.8493311413408973,1.9759746866763663,2.162769528124541,1.9137546785809754,1.8154651847888839,1.6470177673524917,1.4226441440454236,1.4710427569860025,1.5184971413575559,2.017026889361444,1.747862119946569,1.7490528550115223,1.6836324111039511,1.7338023057724312,1.558802093844989,2.0387102804621398,2.0132665911253564,1.6667843195753422,1.8733254183544947,2.33120067837377,2.1424897585861795,1.95244547571867,2.1429688768148414,2.5666559260529853,2.230830854154889,2.1858676628480156,1.6320066601955099,1.59353479737492,1.6858388730824931,1.4007580076016168,1.4905860951681735,1.3476526151598,1.4475167430813534,1.4614610721867416,1.2065952738343726,1.111974429158511,1.1466505063310717,1.1472685741747648,1.2283941146850361,1.2863650796571515,1.3331753664819355,1.378034960044648,1.481670645390606,1.7772506556047596,1.6250732672470591,1.5301529410328756,1.4053368165447666,1.317909218607438,1.284933236042665,1.3883016895208946,1.3494062941571108,1.2925064567768099,1.3867378272415893,1.4673474435675617,1.3726519850883974,1.38426305936517,1.7802265935193677,1.8378417289955467,1.438275964746903,1.7518895522865603,2.0470137305485756,1.9073033107220605,1.5745774369456016,1.299181763586402,1.8423113483918316,1.7970282304107468,1.7944878482419429,1.859780352763438,1.5160742944850851,1.7707033408590989,2.0626623186706907,1.616236513876364,1.3644750453842,1.0588928409866252,1.1128457763513975,1.0822799047689418,1.1336848206728591,0.9699696586574091,1.433326976490847,1.0236977690045705,1.0231899916904894,1.096003480018324,0.9999516359737816,1.5349915432142254,1.0386494710262704,1.0599232128417113,0.8496955383623335,1.3769669604528953,1.2935171130824337,1.4730854037091476,2.569062207075285,3.331952209429919],[1.5471763293274658,1.486010144674187,1.5551452610297873,1.2791192383393823,1.2686372481254995,1.3024317922568538,1.1670446439925692,1.2237192505766237,1.1165586230091837,0.9831095751378941,0.956200380771787,1.097035278545146,1.0115302029517172,0.9001827500150783,0.9489597187043283,1.011698876172037,0.9055024689099207,0.953925261818205,1.0347050121574588,1.011340663766381,1.0620091510021787,1.156201128034253,1.3977039447207111,1.410021796159795,1.397984846439994,1.1007250387976115,1.113502513275719,1.0409079594593442,1.0560977425584115,1.073812336345486,1.0021678060969579,1.1088722385534175,1.0902956391119611,1.0807850214834405,1.0968373675808347,1.0795974620500874,1.172206697511753,1.2805838072204643,1.2867920144710627,1.5750498993542525,1.3968502791259514,1.2223795313114132,1.3571390213622356,1.4316451181216938,1.4420613972472562,1.7143710393578033,2.0307508310628344,1.4878392453852278,1.7391433712308613,2.6398503799840505,1.7329116787319647,1.8607969115177119,1.6540124999418968,1.595264422366384,1.9059981875393068,1.5419597285919104,1.4298634219652062,1.434874113109955,1.452137769798103,1.7625808237473888,1.396414742581596,1.230692382400331,1.2165018077114003,1.164653643193358,1.193877893878883,1.220533656460642,1.0389181338246118,0.9633763672676842,0.9668006290284912,0.9336236674872203,1.1003199958120375,1.3328737751957067,0.9888373219629443,1.1639435415539792,0.9834578898444902,1.0238838309746403,1.0592065247314109,1.0615977538845573,1.1214985069934744,1.2443082083711994,1.369450914533936,1.4661763764305795,1.4818338988601458,1.6458908523911675,1.4366866847672852,1.310992982037713,1.28708027812401,1.2307047127343398,1.1135088551397891,1.1476420703547119,1.0022405632440254,0.982766340336986,1.0160273764070924,1.0184955565696319,1.015993791110523,1.0019720696810253,1.0649498001770896,1.0661746761642212,1.0975618109210914,1.2646270310799375,1.1753249877029013,1.3135211456106255,1.291421605805577,1.3639622972221483,1.3248787583802606,1.5483174745562218,1.6549821580377706,1.6119470744676505,1.5940390194392926,1.5388206522872114,1.4076937015866908,1.3543924282139188,1.1852458605396048,1.0519426430599275,0.935934377759899,0.9173629430674242,0.9836513091574366,0.9343783888235269,1.0229766763459365,0.8830915043152884,0.8090565226657719,0.8002479433220608,0.8042746363031359,0.7995395185774317,0.9375786242241501,1.0302094478512966,1.1958399755832223,1.2654108830262678,1.3826552417831823,1.4947432015571784,1.6560057338683307,1.8139159044625137,1.9674168781491692,1.8625314958266082,1.722482635904704,1.337678434367297,1.18764680455307,1.2658153988783571,1.033656660000596,1.1521652609425028,1.1016429795238685,1.3081953070206331,1.1186855007698517,1.1353611953021117,1.2247120706320551,1.1477249516745285,1.1188586600451893,1.0673038328175435,1.1537980848215175,1.1584629293823083,1.2975451906713598,1.256353714480512,1.4921675558886496,1.8888254475130253,1.4507768694017331,1.2735218695571129,1.2148308694236594,1.2851004182565968,1.2336436038769574,1.3715161795359192,1.3001871815946104,1.2559494105661175,1.2393348855253072,1.2445861438828714,1.312194994581392,1.2654364123441655,1.5083787341140207,1.8885320379981436,1.8473511819891275,1.3501489148735775,1.248084810521035,1.2289621948849876,1.2544497446226721,1.4679945399156984,1.4368579157618593,1.4279766505400042,1.290020477187328,1.5057681018552467,1.5323243519031158,1.6294595577850333,1.5139085799316623,1.5923238146613659,1.8367966387458337,1.9735519446794476,1.985660416251317,1.719935019706118,1.629960777083199,1.9413530722768348,2.0393707862753065,1.9743652641429423,2.509167790991565,2.292828727741052,2.469425438273747,2.3224366669435703,2.375811504932516,2.591443368210761,2.097476090506137,2.0795097732148013,1.9135827295629217,1.7508847276647415,1.8017559740953053,1.6255664222217305,1.5073055645143834,1.5583299716243504,1.6306938394854407,1.4916212375379843,1.5482553578755394,1.6285805794930102,1.6404458280673666,1.7531536744238552,1.8842738838762376,1.9495674502450235,1.9790795019686485,2.1171731680517505,2.3538871923588367,2.148320999023748,2.082932111225857,2.0371432631890043,1.8306165183695542,1.877711979915418,2.048318637408224,2.273160629727525,2.3831773210440907,2.1596346551092256,2.2217777439542212,2.322556714702331,2.18722717204131,2.674168277343983,2.5648012578040658,2.194283533328976,2.4491296208909397,2.9293088455907115,2.670153192413053,2.4607395289593206,2.612379747601989,3.0135765263624243,2.6939195794617325,2.5959653774887412,2.0951053419241337,2.0875701605266905,2.2583508396263663,1.9233965978092544,1.9504641280836972,1.9187646611490934,1.9273230595991961,1.8417538284663708,1.8969683083287139,1.8424191718988858,1.7688234301767491,1.6164243139496086,1.6112992837165212,1.6118406047262361,1.6329842940593735,1.7187076710325144,1.743117687095657,1.9414766375887735,1.8510057138080065,1.819520937996983,1.7701276156394457,1.7568691326217465,1.7367032797677597,1.9202144877318936,1.8746320849703657,1.7308399145275852,1.903477413005708,1.993617513750349,1.8640956092873455,1.8605789051039219,2.2883822428303384,2.3013382885584086,1.8856628912378255,2.1571353954266224,2.5140863023687725,2.3254897543080637,1.9820860365673412,1.762038848535755,2.232468741183868,2.1692994225185,2.1969339359873783,2.1034282045039356,1.813519656463527,1.9103229715888335,2.1715024412073016,1.8826754902018208,1.7407118635690702,1.5452909848294665,1.6180027618347423,1.4188446775498251,1.5893077061329473,1.3614969347865138,1.4757835002384831,1.4753420202512295,1.501070464406102,1.5695656917452938,1.5155914014617504,1.567030479090918,1.3966081348709223,1.6439606895256742,1.4762688141778755,2.0578508994879843,1.8834072495366738,1.9836625379433732,2.8070779114312,3.5430055196437227],[1.6692683975501936,1.6353028864012233,1.7334917372278962,1.4658871355182288,1.4718128078406825,1.5256216717468303,1.4048619473767818,1.4650672307775303,1.3589945439816558,1.2338631160849625,1.2154591055935244,1.3452056383585258,1.2719029465525062,1.1430407954598363,1.2064859112945305,1.2794469886889506,1.1760518439563064,1.2154793728209443,1.261693253717909,1.2652696237498557,1.3076454716727326,1.3753193085800395,1.638587058329257,1.6589392062902821,1.6350800644844692,1.338318013138435,1.3484987540655144,1.2839704243596037,1.3172376309402871,1.346701013300524,1.281841089489805,1.3854828517499296,1.3870301910696115,1.3648064620235014,1.3853051537228367,1.3573560720267879,1.4379684692542594,1.5187864490525758,1.5185986919445833,1.7877575071176588,1.6239355196983565,1.4470048211963793,1.5788151400940649,1.601166273838115,1.5505343448789706,1.7844291596800859,2.107920723499414,1.6127158211559802,1.8499616388120546,2.72295461320182,1.8949617931459986,1.911426602987859,1.8689535720210126,1.8049705022029565,2.105467259828845,1.7734474630553374,1.6393423409794403,1.6629197738906603,1.6858714623352637,1.9449059462911518,1.609452573655972,1.4637037975575653,1.488795487777564,1.3706136234722306,1.3888285395276019,1.4747491533824213,1.2946716908613123,1.2251929510791757,1.171668503876637,1.1450837848020232,1.2949828956646257,1.4632540059582768,1.1993701903184422,1.3425328294669114,1.251857511119117,1.2348269659429076,1.3268637024045735,1.3425840239063074,1.3869230188415054,1.5104715030569313,1.6340736328791425,1.710961334238792,1.7160336083892267,1.8627002291185644,1.6487053731594306,1.5565316229333925,1.5450890004965259,1.510915475624094,1.3841359865797587,1.4295928766288903,1.301994873934068,1.2517295428439126,1.2928923820588245,1.297834812693437,1.290831216547588,1.2539860425132385,1.2914443291656608,1.3391873616384526,1.3640861203643055,1.5194422422592582,1.4495222218525607,1.562394984408515,1.5562921569349724,1.6247209875666677,1.4831564175079406,1.7684858630191913,1.8282330807500435,1.7844960576280886,1.7820855998269913,1.748989749117142,1.625896098509638,1.5904525648782188,1.4402715968217896,1.299010083860042,1.1910022983272688,1.1525642369376559,1.2184613567134157,1.1450775559168478,1.2201718743971766,1.128180854169476,1.047578995231695,1.0133052944223855,1.0073570432921901,1.0481555997026164,1.1970354994946593,1.278109475063317,1.421796187242591,1.482612162498684,1.5847291758307034,1.7047786117328312,1.8261973211778977,1.9673896848891541,2.1358620300325635,2.065480553547102,1.9164285223788127,1.5374322063823576,1.3736891463178944,1.4489098584588793,1.2203783734755407,1.3775138615648477,1.292571062905633,1.4498008239068871,1.3166626874928373,1.3440592641987021,1.439527405181527,1.395396189564066,1.3652079388068765,1.3323287297387154,1.408349748520688,1.4196777344629241,1.5504134672047138,1.5002800510605407,1.7266574033830955,2.0604210963160745,1.6514147736093812,1.5316389431392234,1.4924748673674484,1.5354843741681903,1.4948773111758749,1.6189347715175053,1.5371412507853999,1.5034840076786107,1.4702648500095965,1.4443283196662564,1.4644544725264934,1.3803574314561293,1.595104997767909,1.9237137520644165,1.8425667755616713,1.420261775971963,1.3308801236682706,1.4266052941722782,1.4433017334742606,1.67833883147143,1.6700860292517574,1.6602804251386158,1.5457001889275919,1.757446874161265,1.772744643257653,1.8658555287965797,1.7284276768264533,1.8078844166593548,2.028824289058739,2.1612291239441945,2.1845456581464036,1.92539092763739,1.8283873861320736,2.026465210750252,2.0528750728083356,2.135408121254851,2.5550786318514986,2.4079289976000813,2.592262577002554,2.464095599866447,2.5315706068796944,2.7179339133160965,2.2165588665631684,2.180703153392525,2.016429566740256,1.8964197349696321,1.9168071941899198,1.7835581027143843,1.671325503245563,1.6898457453452043,1.7564801407844826,1.636748021827722,1.6966983119131958,1.7425387941098949,1.739892723398694,1.840359357773264,1.9605486881165735,1.9830106985819516,2.000994065850061,2.1460547099947647,2.3224104659090363,2.190423492383001,2.09625161623746,2.1512121429479745,1.9048749800031364,1.9226968883413247,2.0099510041195496,2.26334697252611,2.294771211260283,2.135230026018709,2.2096092712188837,2.345544307834084,2.2638763336855914,2.7029723078413403,2.5548325603585016,2.2173716858106296,2.5020269707268183,2.934002548643445,2.626768477721162,2.47764545040637,2.6281515199462326,2.951534758746905,2.6715237211180645,2.6050113971035187,2.1427632625787836,2.2091912549125237,2.368525254403689,2.0406698359819564,2.111826528158338,2.0530132647787767,2.1165717342852504,2.0020271275827737,2.0369977782094115,2.008297983445302,1.924025187209851,1.7638995253714755,1.743653017909285,1.7227738715070837,1.7279336198400703,1.7998640257562355,1.7886957237600936,1.968390660569029,1.8685686629338076,1.8397191833349398,1.809889287430462,1.8194290541524325,1.8328935396528392,1.9898854856889037,1.9015230945972716,1.7971539269168388,1.955658219509027,1.9877462736344607,1.8862910442554346,1.8881262675340618,2.2210493352756404,2.1896928615717024,1.8761410461352814,2.0772834546090633,2.3779360853681637,2.2302083557247965,1.9750966115124706,1.8900747435003893,2.4668219057195633,2.480877670696694,2.3814298614941163,2.2736924377638075,1.9620812681516966,2.0229672121242532,2.2957445552494513,2.092175475443594,1.998989733111345,1.7455780152399645,1.7301391601704592,1.5709354292253421,1.7422713419727351,1.5537111695961194,1.6023865777958617,1.6193509125800376,1.656268351965352,1.670224968193802,1.624674391661982,1.718087850723799,1.5593735374279163,1.7297219864745357,1.6478934135729677,2.169219645160141,1.9773657566755913,2.052815302047691,2.80417513082259,3.467565089497284],[1.2038628126054418,1.1576653878491074,1.2847461319896027,1.1386021664141492,1.1923155941635157,1.2373082171612255,1.2028232323413475,1.2426191527599948,1.203511418521872,1.1713656063289333,1.1594566971687117,1.2539317357059372,1.2375166911284745,1.161652307948673,1.2262185122172822,1.2829319447234895,1.2075035207776248,1.2866192996596926,1.3799003191662578,1.3366975190798622,1.3845956619295499,1.4472848138717926,1.6565488865338913,1.6917451259787877,1.6365728162351791,1.421085500085218,1.4282909605371614,1.3664693951500688,1.3668316045828375,1.3522261450161102,1.3158745043483062,1.3546050926944042,1.3507575517561237,1.3680364161774345,1.384509362637289,1.3896806203395093,1.4276770722931391,1.5498558267285985,1.5680809053736124,1.8101531284430357,1.6586212752125726,1.518256943981669,1.6438156858148973,1.6180795880555665,1.6311719537387857,1.8097282150787584,2.036175805085056,1.5783590234680305,1.7282554864620352,2.5595192871983024,1.798418149307063,1.8427241967248498,1.8700051455343254,1.8248330663380186,2.143858767505922,1.7776598469521652,1.6434943682853316,1.6968242612925328,1.7156812168107722,1.8454383765983515,1.6756154119887097,1.5282364316506523,1.5451910159206703,1.424890041176972,1.4656366651318853,1.5584947040449892,1.3684040969824225,1.3182580601775702,1.3036013904377006,1.243114548648589,1.3919240255363663,1.5516472066752736,1.2957925514629123,1.433804563846814,1.3321571817371562,1.2799323854254694,1.3922870215185927,1.3934372840070208,1.4260843806561363,1.5421360153077737,1.6353366948627683,1.7121120254598445,1.6824331947680802,1.8012016699701505,1.620084950312818,1.5535299327667296,1.5711964909741964,1.5021384194067122,1.418822663121373,1.4451518332077193,1.3569361229809842,1.315595606251674,1.3515888230285156,1.316277139647674,1.3034093357919558,1.2596226110435453,1.306993615716892,1.2922492572723345,1.2725922656956627,1.348950041286109,1.3373512902154645,1.386060405175701,1.4457454518805848,1.4410407729794068,1.3855095280152359,1.5868055641400167,1.5846216073063406,1.5557196971959573,1.5034690828412576,1.481551233868184,1.362752294265235,1.4300123261554132,1.2869627299020718,1.233052562100519,1.1806783673991157,1.2063933963548878,1.311830714665422,1.2554683078414481,1.3357259026502346,1.2337670059166461,1.1573059228040128,1.0757015999775243,1.0765162853661485,1.0719600294460483,1.1423273677125774,1.2173756100503919,1.2189763717478284,1.3260701943619906,1.3849455426763684,1.5292043334738565,1.638567588808701,1.754273714496124,2.0030886713831277,1.9096283905259337,1.818053038020902,1.470797156261378,1.294754531023629,1.435056799166171,1.2739089048796677,1.4452554280165326,1.3979057976664746,1.5440753600590107,1.4193385966828043,1.439107656431796,1.518220341727404,1.4436122386786203,1.4062925517462128,1.3060516536484392,1.3291796756314351,1.294731193686086,1.3286057507344342,1.2796016848172587,1.4634752249825487,1.761127213718481,1.4170061976185337,1.324505023133993,1.336648737982358,1.355928709831496,1.400240863638803,1.4883140736240517,1.4884758527648785,1.503759706966247,1.511571253912695,1.4662218138822454,1.4575945182046985,1.4305144519164235,1.5664397616070713,1.9097298939072374,1.8742308176433808,1.4163503448913486,1.3028831124602125,1.4106162548917833,1.4126934663273745,1.6455332613486777,1.631825038901389,1.5795074490623244,1.4864949703575174,1.6752406497484242,1.7214702506586548,1.7764054516557128,1.6745408933430785,1.7044476556888388,1.9178221157211965,2.050449311226385,2.1147730797922986,1.8944545003060984,1.8289512523971758,1.9650412061974747,1.9698883408197454,2.1107427634970564,2.4630519589664686,2.310754149106764,2.5048130800881063,2.3869518231490745,2.3993664404971082,2.5586022119141045,2.061721328309156,1.9442977703019118,1.696851841336984,1.5608941234332607,1.4902969861663755,1.367237133614346,1.2783001414039883,1.238391526945295,1.2661035632924735,1.2239575266301506,1.3514932668667794,1.330847122244669,1.3266377646857996,1.5588640063369954,1.6841279786302366,1.6740489448140918,1.7332435767196268,1.9259814799166268,2.091924325458033,1.9496749827072244,1.8089658491059206,1.8566116017286765,1.5155572576135068,1.523748939593225,1.4646879368762378,1.9308738068323932,1.6830816273281302,1.6790506714107538,1.6997833310872625,1.8118492488373201,1.7319329886020765,2.198328961673267,2.0539870049683358,1.7342100082297096,2.0394199979976784,2.447036409861793,2.15545481133509,2.059175755987358,2.2883717555042575,2.5785070172868343,2.2499619182521275,2.351713266030062,1.759252028881625,1.8672692266296889,1.959037887688897,1.591039560588396,1.7191875407892612,1.6009632744628899,1.732438347438454,1.6476202262749884,1.5029564441208847,1.4959667354858677,1.4664753230812384,1.2918288431239153,1.2860236646048495,1.307310144239494,1.3259681361621651,1.3621643897709739,1.3893908838761473,1.6556610269933605,1.5251197458398016,1.4426364701648056,1.3748637268088548,1.3168811744591007,1.3370248221980514,1.46874489276875,1.3608015357718835,1.3135178778241485,1.4359516712851825,1.4603669161391266,1.3839440988132126,1.3858204788722193,1.7133684909183655,1.6705848519828217,1.370525686829464,1.644801460423279,1.8941569966216747,1.7637201908341973,1.5378066397404553,1.537563065024526,2.3117372519158215,2.411537006895824,2.1909980365203694,2.125330748155782,1.702322906266209,1.8358276804428082,2.1907032646876705,1.9223777676709133,1.8081251507088751,1.419632580588013,1.269448172633639,1.2630787815364108,1.4026371796160872,1.2820678040651055,1.3630277899297663,1.2685108049880889,1.256323931895554,1.311032881893512,1.247688865714907,1.5360810769212732,1.2372995288517066,1.3625355990804415,1.2149775765610358,1.6858816647132402,1.4881434978901715,1.632667237162688,2.544165382378027,3.249807120784494],[1.0477997526763665,1.0173145305927018,1.0135852163725643,0.9078355830043514,0.9688835990737502,0.996674956306499,0.9484181753906651,0.9865924776539474,0.9553627636506893,0.9590912421048439,0.9598579847901313,1.0253995750575637,1.0576587845312213,1.0015097398984498,1.083579759534748,1.142240674883456,1.0950210696766127,1.208289597495678,1.3638648238933342,1.3203556216067336,1.389160724885569,1.4746400151101777,1.6841822570614953,1.7325852839236027,1.655933702463928,1.438538031140414,1.427911857314962,1.3283025121068837,1.2978843113400393,1.235623245398045,1.2103775743859972,1.212909851914555,1.2089646482516554,1.2589511763985342,1.2819559053801464,1.3136586299451949,1.3335629673882288,1.500066514877041,1.5308338783512627,1.7735367625294494,1.6552024420864386,1.5268465403141904,1.6556944077352747,1.6340746276786176,1.695464416472985,1.8712250701688977,2.0559221502322043,1.61329138845033,1.7341570207752117,2.5226059850406157,1.7712081840253344,1.799769800785808,1.8465719051975578,1.800489451135916,2.099924091019846,1.7581844722010822,1.6427010000993756,1.6723388600379412,1.697707038706557,1.8200721342425559,1.6969107595249027,1.5398438146251303,1.5350181421760787,1.4567728194668381,1.4980670078617155,1.5586232572172325,1.3654334742282737,1.283822891114176,1.2701576600593643,1.1762116999337107,1.35964278594193,1.5246422614226516,1.2395281429219744,1.4134267507717007,1.2693888475022448,1.2516236993946956,1.3578380631883105,1.3453105453191105,1.3808554108501838,1.5054416908247554,1.5731524373584553,1.654263203077667,1.5698898454963095,1.7125569051747551,1.5446930841655646,1.4744293236196184,1.5251568742355128,1.4312518093668347,1.3685907661123855,1.375160183170072,1.2832346402351158,1.25092321858694,1.2554752357614107,1.1927783917985604,1.1662973656585045,1.1145110388968484,1.1468941203660579,1.1205190040398385,1.0755787704227218,1.1504634979245454,1.1464708301676079,1.1739003724720565,1.272058188304971,1.24936569418253,1.2723710133490864,1.3810495855493994,1.3520173392991053,1.3368427189530605,1.2669493516849386,1.246983288042582,1.153295996763318,1.208805619157831,1.0569142510110727,1.053748155904111,1.030327165534496,1.0918009553908485,1.240921455655003,1.2297366190098997,1.3322269220610512,1.1839536549948293,1.0878807627501557,0.9629532258786808,0.9588843018559567,0.9110871613481664,0.9298284201785902,1.017703790843529,1.0481408942684807,1.111263903562614,1.1773079393281827,1.32134634732455,1.425339502454856,1.5161416606183207,1.8166817474953025,1.7150562366852422,1.6656222000304097,1.3270547147896217,1.1709325786372917,1.306041954131582,1.1630266124088817,1.3987033369377568,1.4097268807726457,1.588154814818195,1.4343764306589826,1.4151569570568445,1.4948869735861223,1.3765238348402442,1.3199233667111139,1.176478482123837,1.1564289622797714,1.0827290692075002,1.0952550928885345,1.0272952137373887,1.1923418388321394,1.4268635802769993,1.144694263478351,1.0927338843796652,1.1194273067962377,1.1341506380489081,1.213331019863506,1.3060220995097638,1.3521486662036357,1.4073614142797264,1.456078074073109,1.408236299943847,1.4177367585548337,1.4166012455934773,1.5278776842750073,1.9230018012727792,1.89043686700092,1.3872846336807299,1.2334233051121097,1.3270605380023035,1.321884896442975,1.5449980287044884,1.5176591634770775,1.4382720580864627,1.3474413532898344,1.522430026799947,1.5998297607410932,1.628324840399708,1.567069433099661,1.5505950896315281,1.7731022605591378,1.9174955757915777,2.0156181072307002,1.8323131862658477,1.7955161919238198,1.8931880667737961,1.9365893499637967,2.067240448197514,2.392061176837908,2.227497073124308,2.400690817891265,2.281647842383503,2.2307706832544762,2.3481918260148067,1.8659527927680613,1.6782364280921145,1.4162123503953625,1.2946802370292554,1.230437949645694,1.1491406471569248,1.0686874792717598,1.1093557632361726,1.1427435384214955,1.1854673638699473,1.4257477230465316,1.3941986995619222,1.3562125473432216,1.6546742180095402,1.8016834370363832,1.7720206747582035,1.8092568603092738,2.0193489296644267,2.164191241271055,2.0832905188891213,1.9258732922044888,1.9946215104111387,1.6445638085985923,1.6255883495991608,1.4230316946708252,1.8854060781748723,1.5200101232856302,1.6333012438692371,1.5178438752756453,1.5109260643698394,1.4156741294463957,1.8121236694018898,1.7009575799015995,1.4627165525070998,1.6831211273507056,2.0420964919482922,1.7803151011586633,1.7024562135294055,1.9454060444242534,2.1657542808943084,1.875665438929494,2.040850048489399,1.4588748956463378,1.564086781203397,1.6194685053254463,1.323620625751454,1.4892050489860151,1.3620805163937422,1.5358265582373796,1.4505679857943627,1.2172950497410526,1.2147089147407524,1.2269889626142263,1.167087789538843,1.207409131037524,1.2552598326146849,1.3153020346731352,1.3484108267269521,1.3909905460034837,1.678019675070371,1.5773397698410991,1.4698711952850438,1.4057553116931216,1.2869646351942343,1.2444569305778703,1.3248765562074243,1.2972026832923513,1.3024551560313877,1.2815423825577001,1.362393286239236,1.380649692101169,1.2767556389999613,1.4976918057227793,1.5352534731504603,1.3575973943481965,1.4542288532159853,1.6609052236857802,1.7309412489656815,1.664258386281673,1.8049058768858999,2.5649904465152784,2.693201822072457,2.3522665895389276,2.3377759584536637,1.896661481230425,2.015498113383776,2.395508525748585,2.1535544387702497,2.119319883029636,1.567269608066716,1.2307414427386516,1.235501402743678,1.1531638894568224,1.046722286021446,1.4771129624974573,1.102362052971005,1.1083757563859127,1.1223607566541292,1.1426748180354003,1.748842931544677,1.2678095315557363,1.096156348553887,0.9971408503879825,1.4587084746875645,1.2841898509088447,1.400052121535675,2.450432136603712,3.041324756389895],[1.6763131581923085,1.6454125625228446,1.6683637085013912,1.4434268944977868,1.4077387793717022,1.4766325766021344,1.3214911910626708,1.3737012080295194,1.291680939932321,1.1879525387100485,1.1855471049937214,1.283988961432086,1.2294575556157172,1.1416541289948274,1.1983124023734255,1.2520068236024018,1.1660474030727512,1.231378391292889,1.3560346364685771,1.3311288972333024,1.3713753368575803,1.4869457068900471,1.7182602762626866,1.7692632188709756,1.6922354086188822,1.4155923571203743,1.423591603414662,1.3241986615262715,1.335548346615615,1.3277882455044518,1.2864510304381838,1.3481678878977277,1.363675994831493,1.3672542332674964,1.3895382498880962,1.3843853911370436,1.4559772929220582,1.555357764926254,1.5782830807998134,1.857004122699216,1.7020529869632972,1.5524546523991238,1.7252058667609014,1.7051492831610005,1.7544763712352829,1.9866734703158093,2.244140744820807,1.7539055707844649,1.8957626691367315,2.758505293211201,2.0036219396327155,1.9759788563992162,1.9798937834442665,1.8717984747842067,2.1851027169062442,1.89123527031921,1.7623650462640337,1.7564325541224948,1.8079893776779443,1.941377926735978,1.7505325003246592,1.5823315134528086,1.5813273642412586,1.5003514260264212,1.519107356508829,1.582202597786515,1.3609832928477708,1.2973614011221068,1.2545517260631218,1.1856564436271966,1.344985630105224,1.5255418757895038,1.2271677947230408,1.4040954549533484,1.2618667199412008,1.2797515995441369,1.4012456612594941,1.4158719033753002,1.4707564522838306,1.6033240589590652,1.6978823402808938,1.7777854157409907,1.7273303654640157,1.8814576702727042,1.672527047602044,1.5966403344948599,1.601656410987971,1.5545377658176889,1.4415899075191556,1.4624364716977054,1.3505962077429876,1.3126591363366786,1.321509725201688,1.2914190762482245,1.2739642427167936,1.2400272147795817,1.2602186406776141,1.2849120742610662,1.3019413731857468,1.4814575033189468,1.3935553757940737,1.4899827955049956,1.4942214920054544,1.5458958400223868,1.5105486242170205,1.6458448560263084,1.6847387866788417,1.67485490095654,1.670567063267582,1.6214211131276044,1.5402151660895773,1.4742877664146452,1.338182169112373,1.2155020952863587,1.1508575501493992,1.1287245390088687,1.2410269297358953,1.194651956999704,1.311739497252356,1.1835115495884145,1.08785807992244,1.0309437156057593,1.0087661468030302,1.0139669027540934,1.1348983083609825,1.1795922135493966,1.394865701373049,1.3701517527731442,1.4674374603753937,1.6098501526021582,1.704834745001365,1.8504850982818115,2.088156395439455,2.0331399650727002,1.8706552133246808,1.4849067505618052,1.3228773954729032,1.2970354654838747,1.1362383475632847,1.4074015737060441,1.3483397553757497,1.5691796619129206,1.4082581083262173,1.3921528059256973,1.4887433322447825,1.4007854050971247,1.352927481162185,1.292206266247151,1.3399957076497249,1.3348742648949952,1.4482083889200348,1.417249847984755,1.6111766606867823,1.8483540209949092,1.5090797644494567,1.4551676767687667,1.415726603745813,1.4520888277475708,1.4103436908262132,1.5266583098972444,1.4723419980683352,1.4895579585205876,1.490760871220176,1.4668783201854594,1.4851501565351455,1.4038244763512908,1.6146483968885323,1.9691213657351867,1.8460765959791214,1.3963740245140543,1.2983735470244184,1.3698982832548925,1.4099504594515848,1.642714764612433,1.6412679646452402,1.6168120035526052,1.500273625769491,1.7219257785409945,1.764718689810129,1.8227791080501334,1.719204944757543,1.7343434138923663,1.9671510094078084,2.107753087307111,2.172254939948974,1.9972713269579552,1.9034503519727108,2.08769212194097,2.105923681200907,2.252515221377295,2.510616626477238,2.4033360393585226,2.5574130762506733,2.4384602347299986,2.484924392136789,2.6410698002741686,2.0796537195974993,2.0331045949350517,1.8496875794063565,1.7571456778613093,1.7998652255459167,1.727131797410884,1.6044492920013749,1.7011200648404101,1.782271341909154,1.7199033657023113,1.876194198223182,1.9304993326859758,1.890491127185964,2.0393532116302495,2.199297665397173,2.2010382733213545,2.1665595776264723,2.3350678127874223,2.532888580963107,2.481459752054886,2.3807707900784614,2.5266177550801987,2.2016272749585752,2.1841806306515745,2.027888352987873,2.4565772316835472,2.146462461611509,2.1485240809824475,2.1042433136797047,2.1878618965316914,2.084895028790335,2.4754539009549057,2.337296685794252,2.0571588162745025,2.290482617994528,2.6245984604210726,2.319501138217762,2.2433938865490783,2.4228777879147283,2.63656260083357,2.390668851930493,2.4010271321302046,1.9430606757279891,2.0459411012205546,2.1826213688524123,1.9292170528666819,2.037519968008153,2.008475161167829,2.0473312072482295,1.972871423185121,1.922852923128826,1.8818340453797853,1.8106778815724571,1.8011868868489,1.8247751227800149,1.8132590270147961,1.843530288907636,1.9108230629864502,1.922585870185793,2.1026075676348164,2.044443966327787,2.0074314248552914,1.9799463611991175,1.9072799879597402,1.878127198759245,2.005396041811956,1.948526165005446,1.9057212906617085,1.9292800680426132,1.978767328891787,1.9923472340116068,1.8900237269764912,2.075609764297761,2.100968870441271,1.981635727659529,1.9684670774094533,2.1838455185905516,2.265444814530388,2.2409619283186384,2.393551469598544,3.2008610667726374,3.1726372496094597,2.918588623422818,2.7056151457842152,2.3348808697338757,2.3082320145400352,2.5828083947654217,2.4240080324197018,2.4916062990818117,2.112716185840285,1.8172706973067498,1.6298213944722773,1.6333421546343885,1.4720286040811963,1.7218841998476937,1.5812888436071577,1.6679856176004648,1.5644059951457088,1.6053475480873847,2.071302137554054,1.8072912914830477,1.5768801081574013,1.6209042863272223,2.052514449771928,1.9135173912332377,2.044203398250932,2.976408794681368,3.6087364801933615],[1.8309344799533998,1.8047729385496325,1.7666741003767061,1.677060506948504,1.6429568290223728,1.6904924379630897,1.5793276341193176,1.5805329936898256,1.5718094748721643,1.494113565012186,1.497906680870315,1.5397531211730981,1.4934889914014244,1.4585920157651768,1.4890589707422912,1.5038072114070613,1.432325408587629,1.4878034841961338,1.567028285715526,1.5373378240118964,1.555708797822398,1.6459207072500184,1.8276833997403101,1.8649776818125234,1.8050221045095718,1.5737170940430438,1.605077123477404,1.5396211175935672,1.5699257916596658,1.5613229438375436,1.5476521433342634,1.5760547164814145,1.6013767781244186,1.5900584868128944,1.603470170676629,1.6027823450877325,1.6483448043452897,1.7406620468207399,1.7519278675106031,1.9825837832011373,1.8142433744195545,1.7138847828014574,1.8718032181834217,1.81394426344149,1.7969990249039929,1.9708520051296736,2.174586577826406,1.7557143443733005,1.9405013760355652,2.7617780033838324,2.0133945150689576,1.9897949974658289,2.0610667740372555,1.9596688703513114,2.283549990275321,1.9816085789088322,1.8458164824303998,1.8872730456445292,1.927978332181427,2.0079337348836903,1.8839887014150112,1.747955331689656,1.7494271869461515,1.6639544916523379,1.671631017424451,1.7665650860532185,1.5654251440030498,1.5262328253132371,1.4917749370754745,1.4559599103549998,1.5833441457932713,1.7351836964433347,1.4804417771913354,1.60658586812313,1.5033111923185485,1.5369778056984176,1.6138614097958475,1.6308118063500272,1.6689324902339655,1.7605252573614492,1.8542280852234376,1.9166897433012338,1.8398504919406562,1.9760986746811509,1.787405180382144,1.7466907589543517,1.7653647386930549,1.7309266600190254,1.6372185423096168,1.6782682849246522,1.586870342402605,1.553054350627305,1.580586616503436,1.546381585732572,1.5420475773188225,1.5303531900683116,1.5598171481112018,1.5337910284397884,1.5300178334612997,1.6520237341498172,1.5599184317344943,1.6112052866435729,1.6409959252637498,1.6483810569119783,1.6021381287587784,1.7070066147375507,1.6908353467344694,1.6578092970413094,1.6532576651182245,1.6372969961405666,1.6299301049148298,1.6078853563566389,1.5402863503055162,1.4600721569581188,1.4232692206936781,1.3986099679897328,1.4934453435349337,1.4137539730175355,1.5013801700446745,1.450424177798272,1.3712688425252701,1.3347160053075366,1.296892980030784,1.3291552455506992,1.4442494164351436,1.4417707986112929,1.623934432574458,1.5252603705290297,1.5676125026384746,1.6657982014872215,1.7062477474235127,1.8070348974265633,2.1152671035309427,2.074897996200827,1.9684283961569315,1.6399904277563702,1.5064289302099998,1.4786916276277027,1.362350303125959,1.6310089365644582,1.5030946779267298,1.646545663612634,1.5640556467634716,1.5778992459865644,1.6579459567909671,1.6080589478265246,1.5741022922657137,1.521506768281545,1.5374867457204007,1.536482459490413,1.5861192132119564,1.5834016337510146,1.7279339833919385,1.9690745678977646,1.661896672879721,1.6097324999769613,1.5891436061958049,1.5871122113749907,1.5962505281405326,1.6733339476196916,1.6398115178020327,1.6698685979321994,1.6716835787642297,1.6225552174434772,1.59025853736873,1.4885340798969882,1.6818181866038324,2.0233375871126236,1.9109217072092284,1.5005975943448568,1.4045448174137027,1.5406758428238025,1.5505909167440006,1.7884208913866593,1.7884948760770853,1.7464143598876187,1.6692795873156123,1.8321011881604792,1.8888235620348175,1.9313499495255768,1.8306733866596465,1.8283241590254335,2.0291830249332543,2.166693367028215,2.2570471758776436,2.093174416014947,2.008842072185017,2.1940691501564378,2.1552047938507415,2.3714333872228233,2.5168438411686407,2.41628487762642,2.5656270985496095,2.473837890802448,2.4926450279099335,2.594207665200113,2.0382775378771716,1.9020564926978514,1.645381747616032,1.6245533509446066,1.5531426543059874,1.5554119041116885,1.5191525687058973,1.5365746025336284,1.5526558008488314,1.605176806678633,1.8559137669196095,1.777789066837762,1.7025543716729168,1.9487456432136596,2.081599799410674,2.02648133796455,2.040042097149993,2.2655200537944458,2.345591519408713,2.3379256317184822,2.174454621537387,2.342737704579291,1.999492204373657,1.9206395341515428,1.6767875392385287,2.0779874687826227,1.7472307844352744,1.746634366790173,1.7004271994369848,1.718076717255666,1.6933020466386666,2.018634899895071,1.8480083965824277,1.649482473667714,1.8765382486845634,2.1430078678391467,1.8187499667974987,1.8135106536639802,2.0652595978683874,2.1305867961846494,1.8971763032184046,2.1114666862289844,1.6309994324276569,1.8245497619738977,1.9013449419714024,1.636201982316907,1.8189204583443943,1.753024448101548,1.8895224493529579,1.7817071134822022,1.6683608440552293,1.7020698475779494,1.6909157720084667,1.6062844666114777,1.6202431642624604,1.6484056293852538,1.6832745142976726,1.6705235095461677,1.7042633998471364,1.919149335675211,1.8343376405398988,1.7403421401038972,1.71159914813991,1.6136360917504426,1.5937251238225314,1.6450104068310774,1.6004037681900138,1.6306556329938562,1.578170427101744,1.6168468580029307,1.6906676883241936,1.5711797819810385,1.6364083712102582,1.7224959961240283,1.7194124880847939,1.5723968439651081,1.7579343016504723,1.9823863857391795,2.102712270436384,2.3992352485765727,3.1162187233516523,3.1508159570866,2.7671086835046497,2.660406309016726,2.298255463222518,2.32695419235167,2.6273749426156114,2.5169804047230233,2.6134927380156387,2.305508403902836,1.8063512624397258,1.7285887284614185,1.5758095921056947,1.5763016576751603,1.7884058330527601,1.5926414911816968,1.5895414196303759,1.5395256351659312,1.7144415728853084,2.0846147436177387,1.8206786115913138,1.725540084807837,1.7227312550091354,2.1030721855040664,1.9724209178789134,2.0175043761407614,2.928903518715915,3.5147566574201408],[1.173311034066696,1.154663401196247,1.0571660097202549,0.8907588507230495,0.9177368511415782,0.8989221928046001,0.8652549379130168,0.9242477912733985,0.8881822011262815,0.9461164008377898,0.9731813536911867,1.020819992579692,1.1219203923874528,1.0371131005184016,1.1885193025579648,1.2719847708697865,1.2453853983379422,1.42894426966492,1.6349619290775015,1.6460984594826322,1.726476156216911,1.8766610608983527,2.059267561618012,2.137164368421569,2.013354527082089,1.7652278989561248,1.7426985159604111,1.5821007820194153,1.5402730504223574,1.423768992827244,1.4124179068732317,1.3768947670583767,1.3855770002203114,1.508007363503181,1.542702841476275,1.583011066566215,1.596331353629052,1.8106063754060078,1.8656031578454035,2.168074305082161,2.082444883562662,1.9009127920955289,2.0769818008512604,2.0663814131877984,2.2102353449235537,2.4716703023915114,2.7148127470112735,2.224315625770107,2.266981670061682,2.98639876501031,2.408003567570057,2.347878402021957,2.270425415785297,2.2247142806801232,2.4717692572392385,2.223303871021141,2.136201892599184,2.0725329675057114,2.140594880597362,2.298130191714171,2.158282550125891,1.9696094919455847,1.927642712967232,1.906269635873682,1.9387382975393295,1.9316576116856403,1.6893952690110148,1.5765151972813796,1.5399745756437995,1.3941009350867093,1.5381201951851444,1.6982708020574753,1.45558248901785,1.709886929013197,1.524889430506341,1.5472126597404305,1.7214289058889982,1.6932630458623363,1.7536914334050833,1.921351027015916,1.9384754234697281,2.0238213147096356,1.8854216633878103,2.05757819318406,1.9151607553243963,1.8022037321652082,1.868854671222052,1.7686526308707209,1.706661423113615,1.6834912618175297,1.561259372314044,1.5542177606466658,1.5047679011826864,1.3855118836956766,1.3162847045988204,1.2474083871722623,1.2421186479233999,1.2171636377013362,1.1381385806781323,1.1842123259774324,1.2788438960622213,1.2439147060195996,1.4438626359781213,1.3330318370417138,1.501669807799822,1.423542880290086,1.4019348459352055,1.3907592827808346,1.2622720877925115,1.246538694705097,1.1440278768664496,1.2019562993197523,1.031712817140709,1.089421050510351,1.0811112412852064,1.1501216463753392,1.3554074228432984,1.4172299889408744,1.5882794486110083,1.385596018885988,1.2222560811939,1.0547996221108638,1.0153565618163676,0.9247264588228626,0.863163458935229,0.9888437816031608,1.0668767390540925,1.10861763790866,1.181180808985269,1.4037098495201814,1.3594128188403098,1.5056747846844232,1.8994882605230266,1.8994879133170441,1.8013075677018213,1.5112918006499023,1.3297674287106356,1.3377629950802752,1.1895110336773855,1.5597832337900956,1.5948539239381716,1.8902848730364372,1.7256132493656806,1.6428552245421815,1.7871758077698014,1.6041599977281895,1.4753574167069425,1.3111792393455086,1.2578098351056803,1.0972186717241008,1.0975927590200505,0.9984847406223889,1.1764428996886596,1.3794016766091528,1.107540702594004,1.1201218029909696,1.1445808750642663,1.180461617238231,1.3068807123814683,1.3748448680870458,1.4855378323579826,1.6268354257376043,1.716696928616655,1.7542009394413534,1.8534954063253803,1.7946422086140763,1.9223599891463814,2.2258645909437593,2.0263346105865363,1.6575665199427219,1.5469658345621096,1.6291481959931329,1.666556438084687,1.7947601219050118,1.7555649162148435,1.650547316620173,1.5587383225487752,1.7437289316700788,1.8943402413278645,1.8644930761569172,1.8751993314072495,1.7176082870973495,1.983616814170341,2.1596104627691686,2.293645571559649,2.235114997842353,2.2289981483137282,2.32677748123336,2.431932823805931,2.507388006084847,2.7942634830824136,2.6215740239157737,2.740956242026348,2.5362818551152317,2.4032916294033853,2.400701779276352,1.7022390767429625,1.5549807930883932,1.2935049840496773,1.2113992241272729,1.228997595172456,1.177548905664769,1.0870972565331112,1.2187522746966069,1.25133396210038,1.2704630545856277,1.5845897828020725,1.560965759004867,1.4534230011945968,1.7217893752600772,1.9047821780083463,1.8680246475413749,1.8445456364955048,2.0757221070876644,2.2264352178433295,2.2148491182796834,2.091773361883014,2.302152409372171,1.9104667676814366,1.8547060912573694,1.692224767583942,2.141454171730199,1.753986051731422,1.7589458929947683,1.662154356882428,1.6229450924356756,1.4885618149163975,1.882627126313,1.7693069109193413,1.5001409068856417,1.6614337996156716,2.0341027492049064,1.7181476281118544,1.5971415794831834,1.8646402500099355,2.0312038920313613,1.793473827915905,1.7704476821599247,1.3823379331959593,1.5056901650481898,1.6074607918992856,1.3571801665612537,1.5604333515633535,1.492090838852191,1.6431289999183782,1.4909220550004474,1.3007914961182914,1.3153086663548093,1.313369609659926,1.25889048245869,1.283323808359538,1.3076097892715175,1.3659164831257988,1.4220649501793485,1.4311128497313366,1.678774897414896,1.6423686095067225,1.5700397717315766,1.5497831885695337,1.4430612844825197,1.3620488991171824,1.4804521458788678,1.4997291544234659,1.4702624597015663,1.4170077028783081,1.582334810569572,1.6442341797802194,1.4609406710021444,1.6480430159645862,1.813142552061365,1.7005943063760964,1.5872045199265932,1.9000535857236327,2.171493824391909,2.1767116282083925,2.292474928141378,3.173704696990026,3.1025728336207297,2.72102997731014,2.5627589037319165,2.1238709648399188,2.143893488654495,2.5115685199707944,2.3467683609488597,2.442144786089804,2.019011175895792,1.5208374381622938,1.4267390676922604,1.1071592925462446,1.014368425389432,1.5750686926538253,1.156198126456579,1.1635684210512753,1.1286732973828697,1.3038161464944569,1.8793026222276268,1.3940454799175113,1.1055256233808899,1.0053193283924624,1.467425856246305,1.3122271709989777,1.4111610873633846,2.390023387394316,2.9800248447542645],[0.9440217169407465,0.9667205863562491,0.8274986150081206,0.7249465691865294,0.8414566495344866,0.779359034266963,0.7399660114239025,0.7714495943333822,0.7663068817296329,0.786655518361202,0.809963106607972,0.8570670884226953,0.9142475733077905,0.8705232090323504,0.9977898064590408,1.0529748354218653,1.0333543352996897,1.1920809905507934,1.397210915406759,1.3431919824994316,1.4235481080649925,1.5147632216141245,1.7316320579718198,1.7952959872622194,1.700103531750504,1.4764355495182184,1.4476541781956234,1.3108167082112936,1.2676860548561721,1.1579099508501534,1.171044308089528,1.114240300579525,1.124919902978645,1.213344301488035,1.2310399328161605,1.2882935860632259,1.2736454530950467,1.4792390193414617,1.507612967828328,1.7280958597227662,1.6567387273653527,1.5438310014495948,1.6745598008395925,1.6539167510556905,1.6913211447648666,1.8505020717132707,1.9937073775297656,1.5663891192500556,1.7448374291695392,2.5087502615244537,1.7151131020873955,1.7085621328523437,1.7617344006543945,1.7344999956636789,2.0109965936838736,1.7078959961692377,1.6295418518545917,1.6473748839704734,1.6716923016146916,1.838881615740076,1.7267864285576653,1.5684777896583613,1.5525575824182287,1.5158636547383602,1.5455094741534945,1.5859044174899266,1.4102339040614336,1.3038812190375553,1.3059018767481874,1.1704321802167914,1.353890152346396,1.5326802407308118,1.236691679204581,1.467857789620044,1.2614849833025368,1.280635171867394,1.386342107139384,1.3567534998989315,1.3884212709227617,1.5089735616180762,1.5261997422334885,1.588583787809155,1.4610654854736922,1.6107141199070416,1.452849781835035,1.3986113941087128,1.487597871586328,1.3864488983209415,1.3635613276676843,1.3540946839215469,1.2724198125419557,1.2607952692639828,1.2509129529158565,1.1422322997090204,1.0959077253504412,1.044793104613719,1.0716954598577155,1.0119759358268205,0.9364895118311273,0.9751597477767033,1.0050495662327523,0.9771832072942424,1.1181006472787471,1.0437492111632292,1.2065441899961606,1.1127330206759116,1.080350923844786,1.0658351572420808,1.0013897296546872,0.9864916036412086,0.9552394319914976,0.9500892436732604,0.8268216629939799,0.8633103158279584,0.8871467182584142,0.9674162466474708,1.1695935935407622,1.2032519334728191,1.3493134944390495,1.176949379150333,1.0590790082820154,0.8884917220168926,0.8514655779330162,0.7518046376797896,0.7131902138248969,0.7964160674094762,0.940204866542563,0.8744928024357499,0.9359986359568321,1.0373333732683427,1.035169282480418,1.1285872430812052,1.4416513633704278,1.4262694270221075,1.393697028498805,1.1604082883209204,1.0715122820613239,1.0824377028529737,0.9605880018216058,1.3461965625025039,1.3834263089606111,1.601766973039292,1.4469480004548334,1.3870780210784277,1.4696547958972164,1.3236967698971693,1.2342980972631508,1.0511512828799427,0.97984602377756,0.8834308189960376,0.8753231107486767,0.811552271462596,0.989697018286444,1.2217771692987474,0.9477104245769309,0.9090092095793699,0.9334397689166746,0.9210456918625504,1.0426179079949127,1.1023790462500735,1.1784166816845782,1.311076429833254,1.3989559538683005,1.3422296489284757,1.3547400987826064,1.3586688395392483,1.4339181939712868,1.8410816908293006,1.763908393012307,1.2628034733666569,1.1196888968751153,1.2477885635813344,1.2276083812357066,1.4121815473162753,1.3800074015298776,1.2724556311482755,1.2179831883715468,1.3602111594243647,1.4672457581819063,1.4501737049365735,1.416087231740879,1.3238652682001706,1.5281248452355258,1.6715374561360128,1.8325685326278813,1.7250108675601385,1.7488270040756282,1.9131402556163595,1.9254380719454802,1.9667806744190712,2.350823984955693,2.1562693336886,2.2448649532197007,2.065232993791798,1.889225420377947,1.8896536595278195,1.3789366422898637,1.2361891321603249,1.1234435633404,1.0131309204843462,1.095671487142486,1.0601288166954033,1.0230841020706938,1.2446136935411516,1.2248488358447234,1.3087245182708995,1.6671467542481946,1.588048143555908,1.4592170681567151,1.7518320384574337,1.9082689130380934,1.8530928978674293,1.8396202329407378,2.0612792624485206,2.142099920279448,2.1386927524044492,2.008588927175369,2.1337015019914634,1.8329864708467698,1.7700760099875616,1.5278421570677654,1.8390258924839045,1.5463070153986043,1.6959558632225658,1.487621261914018,1.3378796838045,1.2203341963462266,1.5000814049826632,1.449117359578203,1.3259959875103928,1.346068921326939,1.6558644210359559,1.4621163117809222,1.344137568297665,1.5135701204397138,1.6887219938777531,1.5405971989684977,1.4930263329916573,1.2480357335173329,1.2020683845927953,1.2768331779780346,1.1519120542175183,1.3289322291175953,1.2598888872851088,1.424148841688742,1.2757006763328784,1.1182980879030824,1.11538697163818,1.1510652185669878,1.1927866351791214,1.2241973825471515,1.2821092062013486,1.372264749407814,1.395795087363344,1.4140919779847496,1.6774003651776457,1.6253661911000237,1.51699837533859,1.4992213458912138,1.363056604199816,1.2769545610816135,1.3355636538003035,1.3838606683137165,1.4241958548402265,1.3076536237607683,1.4602577792392697,1.547633892288026,1.4034986439747261,1.481242463016159,1.6046992655790135,1.5985764593437157,1.5050262926322018,1.6600364207797238,1.9365612362130487,2.027781849369879,2.1972014704560805,2.818557868203461,2.849126364047505,2.469373544794798,2.4149247096830013,2.107591141564417,2.1820669904178205,2.4986410598221425,2.387238902865012,2.4080898604357426,2.082380341982659,1.6209260444271807,1.583111908679926,1.017663744136942,0.9028045919170077,1.7260715687653059,1.1094549936858673,1.1255621373024174,1.1126747536658383,1.3645757639541187,1.9782305142515877,1.3932377522801864,1.0356167344022713,0.8675678186983068,1.2348113883779916,1.0918988486655083,1.2004838180650252,2.307835650720084,2.8385428399344077],[0.8716151690446449,0.9055070444219236,0.768125380081732,0.6746790723429891,0.7713072076545077,0.6897369700348722,0.6094549833447951,0.6200241564595504,0.6245292378626458,0.6098100596168585,0.6282645016151354,0.6648411892175321,0.7009574448295236,0.6739056496105755,0.7799657816908458,0.8170999434200841,0.7983461412265446,0.9444502088289746,1.1458418859985962,1.057284482903997,1.1515160822660102,1.2220799361168317,1.4700833518098104,1.5196543163629166,1.4427438297653359,1.212202731596555,1.161205800122816,1.0488745730110733,0.9921606726215798,0.8717605410206168,0.9092966975011125,0.8352046203970138,0.8306798216650302,0.9252693364014815,0.9295611487742241,0.9875289292205179,0.9538530352234768,1.1462682213754,1.1660323483483368,1.3632715442204655,1.3222298792041645,1.2230894191696249,1.3102614598475428,1.3506887412113011,1.4718219882688583,1.712897314805238,1.9150396736991948,1.4028982500276124,1.6363162330039145,2.4537035696101186,1.5052537018267749,1.6657134286731496,1.4366695548089856,1.4251070579771816,1.663549080718975,1.3536776196993079,1.3133331599497506,1.3078226043811034,1.3172244047540074,1.6192812589331607,1.4126737066532542,1.2515744215128544,1.221628637974037,1.2565695990130552,1.2614685595380855,1.2590879047071457,1.1460394000398493,1.0313581725170935,1.0808236719866542,0.9740689396061099,1.197804599274843,1.4060912805752601,1.0588914540676322,1.2709564594267284,1.0400561404646869,1.0807464902762116,1.081569810145512,1.0430901697637125,1.0602455526389731,1.169386810810464,1.1668420081137427,1.2142684739807463,1.1407793143625997,1.3069077133420395,1.150580379812276,1.049027369918079,1.147783296900869,1.0466777255714836,1.0484705699585777,1.0431718155453207,0.9785882540367171,0.9973141394763018,0.9932506866032117,0.8834659197873328,0.8524340988371324,0.8351584426698911,0.8838783649085332,0.7664567950206562,0.7011834144112334,0.7644680518532894,0.7512787228376061,0.7401226417146501,0.8346953838525473,0.7997932987974129,1.0539325306615075,0.876585514994563,0.8731097217795019,0.8944784590840359,0.8331776397572299,0.8073221628399557,0.7847665119911574,0.7393404431220526,0.6284365029671044,0.6593155448919351,0.6993787501970108,0.7830447519898941,0.9466252421335383,1.012953920260037,1.1532069193409087,0.9548440130921118,0.8873761347487775,0.7346580598764667,0.7382256238290086,0.6078141722868486,0.5584813538824173,0.6181562861881787,0.834320336970653,0.7041608123645603,0.7641261571944173,0.8023792661003296,0.8590495669477687,0.9420331834607706,1.1586625313009704,1.0919343169098554,1.0601603172946605,0.9211246193099605,0.8870136852143101,0.9587608363033147,0.8293304231596927,1.0447370863083205,1.1809057111923318,1.398362963949209,1.2025868506119741,1.1308093821852025,1.177338397391908,1.0312847016153799,0.9566897273868346,0.7828583783408035,0.7274668248942844,0.6741655683293308,0.6781295301645266,0.6297720607085197,0.8262982637402904,1.0723236872867794,0.7976389908176452,0.692532062075811,0.7043424548892911,0.6905906144832291,0.7846012297171887,0.8513677376269816,0.8908023444551743,0.9875161695557251,1.0677770988397284,1.0332588387585195,1.103616051876583,1.1384336369311783,1.2614017604672285,1.730247574870964,1.7761747325026875,1.162338967108117,1.0692784359795438,0.9637107735139755,0.9498004632008353,1.0849841061047576,1.044168980025463,0.9483734769011678,0.9087876111163641,1.0193144199015243,1.1118527293494471,1.1043026012448607,1.0795384431179968,1.0067240535523467,1.2042183896483716,1.346000236647647,1.4569911239723004,1.3416108008521708,1.3757014745941154,1.6501883106537878,1.9377284543061108,1.6128441714934945,2.249110406991379,2.092725455046367,2.0664912322792928,1.8309795017645538,1.6361813385957058,1.7156564181613696,1.2596807989411039,1.135788746992248,1.0394551576830686,0.8976658801063959,0.979044635927473,0.9322634049672048,0.9025510912316442,1.0892393384401606,1.092114101100926,1.2331817083616206,1.5216707746967344,1.4319606857742615,1.3843954474391815,1.720403735985704,1.8163320375819483,1.7709040740150213,1.8439156812376853,2.0263572147181104,2.0667510776622184,1.9845360623783481,1.8581211625330696,1.8482817302044208,1.594033912156378,1.567932864108417,1.3460782968488398,1.641681262979125,1.3962799377761208,1.602287802036346,1.3689445158902132,1.2397698886684922,1.1209091329367644,1.4094938135612904,1.3672094128697065,1.2195404852165266,1.2873530598543141,1.6388269401985203,1.449741864094025,1.312492150597044,1.4816260334680778,1.726830112441389,1.5473498439996285,1.508560720704565,1.1696207552445912,1.0945705116436237,1.1720072535430623,1.055863703982368,1.2027726827041523,1.087794704246069,1.2769594415702459,1.1484970097302916,0.9780292732515066,0.9440651401958114,0.9917547928068103,1.0808648967375853,1.1491523539391488,1.2425900681990525,1.3354781572612342,1.3342600340300745,1.3897457917647986,1.695821215041398,1.5914863363091052,1.4626750105245185,1.4007092807647632,1.251696746935534,1.1660042744989223,1.2112396778261485,1.2355880814950677,1.2767141669330384,1.1688838438697955,1.2867123070248583,1.3514634686416962,1.2245628218531233,1.3397623655722208,1.4229321413126608,1.3386088572770336,1.3510312279911132,1.5213350006723716,1.6936961157597785,1.681723887247397,1.7747520696039059,2.3739036394856177,2.435015291654675,2.093976404058361,2.155065396177021,1.8567946423737423,2.0563815496752342,2.3522297342612175,2.128181577722045,2.0215108472213448,1.5701762077642334,1.2973072125408869,1.389112229699879,0.8806557383031172,0.801023885086506,1.762468740645983,0.9735494433651707,0.9909171080466697,1.0568886520007719,1.2328857400001056,1.917626460859848,1.2256311096863932,0.9547483476273463,0.793584441683032,1.148183694203367,1.0129512564271725,1.1679245560581741,2.1975140441128493,2.656207403868561],[0.934463748957599,1.0046242105362764,0.8603774096669495,0.7872169438258234,0.9110356041258387,0.7068039937373154,0.5826503143350489,0.5651367750881143,0.5698596148081205,0.5639391284021006,0.5973759730239709,0.6054151660892513,0.6552365546519398,0.6691959196613274,0.7832222808373458,0.7972531289899953,0.796609478789745,0.9664190203944012,1.2046509732965642,1.0925687305702534,1.2028887368537475,1.25147825383653,1.5087370656043064,1.5589235308980494,1.4872688220982904,1.2728945180183096,1.1981824510023353,1.0844157885366932,0.9972327372393933,0.8350121552329817,0.910570618630658,0.7913622621700682,0.7906947135945137,0.9035934433743327,0.9012494566731925,0.9747521141548247,0.9126926641066696,1.1417775325120723,1.1467146768239005,1.298197270392402,1.3015034711488787,1.2362605063630594,1.3056504186907574,1.33331943240823,1.485117369560009,1.7023894504829298,1.8407284523163805,1.3907261116990703,1.653532375619636,2.4045785344415522,1.4586402541281898,1.652136373886893,1.3795654079751365,1.3909417895109009,1.6015787239936827,1.2972676632343008,1.2800224477725508,1.2874638870685133,1.2826612780449616,1.5736382632576702,1.4109220341330062,1.2660243700681897,1.2371214247007363,1.2796125625292043,1.281179709781206,1.2834848864361943,1.1904900484837533,1.069955815482582,1.1413086539220574,1.019391114879977,1.2472379758526022,1.4540826484598368,1.1041034933334999,1.3110513854121268,1.0686320428855622,1.0920096853895291,1.1018013304643939,1.0474034296211736,1.052324805597375,1.149758388545045,1.116149995141519,1.143967996275444,1.0539307928676718,1.1901270817655258,1.0657870256189033,0.9760614897582937,1.1204482045608188,1.0033723131459165,1.0360170362828414,1.0199295202093548,0.9875847209123584,1.0229438915677345,1.0115665303647872,0.8808627139506345,0.8446776574337201,0.8350511210906941,0.8944803265127305,0.7250262380616337,0.6414573110214711,0.6797809057274348,0.6733981252034728,0.6417429563933211,0.7250864049066847,0.6856726980488327,1.034956121340245,0.7478815594337431,0.802716524525788,0.8834667685708963,0.8294887742417469,0.7780941775820325,0.7744845715579391,0.6179640025725445,0.5293947998057786,0.564216064085197,0.6501152361998352,0.7697579479568872,0.9744444415986695,1.0856381904016257,1.2396377511383703,1.006170672298215,0.9308330162996763,0.7521013792589961,0.7471420587386731,0.5823579392076776,0.5111871506045438,0.5270915847685497,0.8180667694127699,0.6582602243079289,0.7529436186140864,0.7327274278443645,0.8219775188579573,0.8699988088113557,0.9456546280546057,0.867514129321426,0.8501035163506745,0.82762812103454,0.8569129987782331,0.8824535422076356,0.7728567129802361,1.0095376876086755,1.3046365155091355,1.4795958633047601,1.282842074891882,1.1690441704931445,1.195144902727797,1.0215722742339104,0.9299947743082377,0.7174793929400246,0.6180966713224991,0.5768310166868009,0.5896896874386256,0.5566760485455865,0.7330218751797809,0.9806163724823718,0.7368035506507322,0.6039012753399785,0.6121793878295008,0.5812482354334465,0.685388180068826,0.7260132683716432,0.7664515977237447,0.9104668269099088,1.0104373554430324,0.9564649360150712,1.0051525262962093,1.089507657783512,1.1246791495255268,1.5995526144679542,1.7550513367296934,1.2515098903026478,1.1430637279192175,0.8522865792930326,0.829044247271058,0.9572082057754369,0.9171610538186925,0.8106158067898473,0.8065870171702241,0.8764754821751524,0.98142700093638,0.9432891604253997,0.9438962719636658,0.8416694246061805,1.0082920394178492,1.130273191798322,1.2343164629538308,1.1919014634044176,1.276023818351641,1.4871414572716213,2.040433881623082,1.4742994372732474,2.21938634525078,2.169796494258356,1.9677109778994017,1.665986824449268,1.364733098226994,1.4312634100404902,1.121520133733244,1.0661725395983404,1.0972920469730194,0.9507196990909532,1.0908024815730104,1.0595634057395,1.0672475091263693,1.2877274916788564,1.26939206462414,1.4151493297357087,1.6633113227921887,1.575370565277348,1.5351500632857122,1.8163270273384584,1.879052262676002,1.8439975723051658,1.9085224757608048,2.050773797199854,2.043009115140224,1.9686704451111823,1.9118086397222376,1.8547211556255732,1.669823931197698,1.654557657912661,1.4350539648850467,1.6077629934744224,1.4362858441372215,1.7556073788596673,1.4439090939443406,1.279977735248084,1.190309232307141,1.3096651919031586,1.2902154247658824,1.2843593242011353,1.2111016291448424,1.4462681410181277,1.373082918690869,1.2434260571678075,1.3284672658020296,1.5433062667445987,1.4643513119757123,1.348816662714,1.2169191764744676,1.055125721699674,1.1155931773396592,1.1437431192179974,1.227926683790995,1.146921040537976,1.3091324908816697,1.1704027523132554,1.0766046381052803,1.0213041134445144,1.0703471816795604,1.2333734499961209,1.293603235893264,1.3906110429887153,1.4839254862224653,1.4804748419058933,1.5202404471098745,1.7819130427003997,1.7024818452377575,1.586682620179105,1.5340728933782815,1.3915461159630291,1.310709783389771,1.3247194839480536,1.358524613771789,1.4136875365352652,1.287533710413195,1.3857865187989595,1.4624716588481335,1.354019005117906,1.3785963613803154,1.4505883352908244,1.438517454026926,1.4262666383355613,1.504848479104052,1.7309065896956335,1.7540538515894415,1.8301390426866009,2.3187317551738658,2.377958696046188,2.039188687947026,2.087063982457211,1.8893292250341314,2.0779497295311815,2.2794088234383256,2.0922246604837054,1.983627798455488,1.634929629257192,1.4718223315460084,1.5835964375958511,1.047781368900656,0.967557741900199,1.9827960730214638,1.0317553820097556,1.0583086311161463,1.172947220285108,1.4377235387633487,2.0574750396037538,1.3137937088045,1.0563131777747574,0.9009123904289146,1.166572771658272,1.0918845591916155,1.298320151474777,2.2534828550724906,2.625608021608341],[1.1048475210232314,1.1568433102933557,1.0170919648819945,0.8956680363474648,0.9781878621424467,0.8571026439677617,0.7621637744215715,0.79022466421402,0.784795310282237,0.8409510347936163,0.8675445617597468,0.8945218805549853,0.9621208150280475,0.9626035073598392,1.0648105601174769,1.1090119816780177,1.120376271446287,1.2856698184661484,1.5200791698432088,1.4417796476775255,1.5299619157440663,1.5998701619832663,1.8181231844979036,1.8761818279291023,1.798160230853741,1.6078161523693018,1.5602597559002331,1.4236392077459687,1.3408832773441344,1.199126457353503,1.2408593585248222,1.128097230814681,1.1359854952057362,1.2394870877523676,1.2506743422751008,1.3408452835423648,1.2883195219298824,1.5353495466511478,1.563546796524709,1.7171496733545446,1.6792843806341355,1.6184948115554512,1.7244445352310072,1.6711141021082143,1.7166934092889665,1.8233299849752167,1.872419036918151,1.5111798853615293,1.7457049387104149,2.4565578863170088,1.6099959599727292,1.6326925006842141,1.7379699935954565,1.7169769215925796,1.9784552060918605,1.6791012213874619,1.6234077334179429,1.6573962841399428,1.674809519205165,1.8095870767740143,1.7681817152032127,1.6165954413807848,1.5956900621704857,1.590924543909824,1.6247808321114796,1.6416580991341456,1.5121937663151728,1.40737025962281,1.4257175753790419,1.278119240239098,1.462123341446609,1.6170886796333985,1.3360151195254668,1.560842525286778,1.3647904300100375,1.383919984256165,1.447524681470513,1.4029009686484646,1.4097465753418512,1.5266430265623547,1.5162272704334419,1.5611845770319766,1.4045906390425285,1.4850213074455647,1.3919406156838396,1.37974769860302,1.5092013132078979,1.3733887414665966,1.4054829201047165,1.3741490624237511,1.3341933977396756,1.3382983667708244,1.3176287805684725,1.1974851383769112,1.150795178549701,1.09835495512688,1.1251551126680635,1.0365692486831237,0.9477463779978421,0.9646598515564697,0.9911521674710894,0.9288423602268286,1.0696001675539837,0.973077187383284,1.174229637882932,1.003922389208946,0.9470288149934686,0.9501023833513634,0.9408552260581052,0.9167507394469074,0.9305700255079334,0.9092163420316006,0.8247309426311075,0.8994987469834351,0.9706455312407571,1.076346033236621,1.3007344411874135,1.3471107661665016,1.475407472796667,1.2992913669784383,1.18435320775459,0.9973152426916868,0.9557186493940705,0.8459534856030964,0.7725458290805141,0.8353766058796571,0.9709489618969613,0.857813171818918,0.8900207678008628,0.8950554205433245,0.8979475506645064,0.9183653941540397,1.0958835274714374,1.1098812816367811,1.1628960275566695,1.0912132664354903,1.0271872293849662,1.1615839614051189,1.080594590387149,1.4849053883116874,1.5865949903069183,1.7461125791374184,1.609421654283956,1.5409812863284666,1.582469300650191,1.409642723191294,1.3278369895347693,1.0824511828200463,0.9704299017627098,0.8799136369624887,0.8437649045754229,0.8002378102593735,0.9757178771793495,1.1682051167579541,0.9341358656587107,0.8807863872301941,0.9319347679427431,0.8882169574348329,1.0321166612337165,1.0593976141900865,1.168480405968328,1.3237095738800557,1.46778281765673,1.3621210367226952,1.3355582829641455,1.409249849062597,1.3878582231597236,1.8127905482806361,1.8721613374762576,1.41992745988269,1.1756930503854062,1.2609428666050462,1.1863231122043363,1.3690021723110821,1.3341074487494302,1.1907886485018326,1.1783088890552023,1.2693828928031963,1.3868628836740788,1.3260856912191645,1.3167163156017871,1.1903497576349586,1.3195701165933564,1.4470808019176256,1.652863734998305,1.6246732490989557,1.7014233640774734,1.806006724169246,1.9424534591184477,1.8846170598037697,2.1902763899816406,1.991019226468284,1.9878266389435895,1.7703300203351877,1.4385835025228708,1.3976821553243066,1.1133456671787636,1.081989412640056,1.2020374950125912,1.0697790109195608,1.2447234667650133,1.2015961989359356,1.2201570603082623,1.5206240722543896,1.4658865384701307,1.5687997103066533,1.9068718955646526,1.8200315097525366,1.6982695518385853,1.9477290981430322,2.069526607130817,2.02144972033059,2.0035834361166227,2.1752391429462,2.205121891634848,2.202240526214613,2.1391898108901475,2.1864907678184156,1.974254952679478,1.9271965049554503,1.6906918207176262,1.839963513970067,1.6452338857421092,1.9174237338506583,1.6143978600459115,1.406908164484926,1.3006421910748174,1.375510665147723,1.3933287845152085,1.426810619810678,1.2762688178247004,1.4561793719610527,1.4394493306469793,1.3154426338335228,1.32857193043778,1.521643942014588,1.5260700137376353,1.34966605066853,1.3496311304443331,1.110658093282131,1.1778076136052382,1.2500662088512058,1.2917847577937331,1.25097753607738,1.362131042264503,1.2450682560427118,1.2090347498977791,1.13880907641178,1.1947905066418407,1.3723906387540408,1.4017892535135528,1.4662326767404938,1.5901378263140398,1.6146027999341748,1.6165486840143146,1.858838128796341,1.831969696983412,1.7306084453652881,1.7196852817647061,1.5738375191450915,1.4772769471030136,1.50198903426107,1.5756762524616017,1.6392213432771325,1.4884878704955733,1.620750481257269,1.7254889207756576,1.6051077215520444,1.58196018098765,1.6975932149499526,1.7512339976456015,1.6443839183388012,1.6904224678070845,1.988008836184859,2.0909321409761508,2.251231909844654,2.6764966932596237,2.74760044586025,2.4123972378142873,2.385710707500668,2.2068407537779007,2.295341704453936,2.5025816979297817,2.4296253543020025,2.3719974143804663,2.147940780897981,1.8588078786212237,1.8787839250616207,1.2282389705232206,1.0608974730222187,2.0152739563138957,1.2434495017342224,1.2671888820837287,1.2918384110666747,1.6271958206044472,2.1964329842907406,1.55273667828937,1.1604935604149567,1.045284710199453,1.2619738905518134,1.1913080071060855,1.3774421846955327,2.3506598044238785,2.774396635258596],[0.9696245440749867,0.9949927884324632,0.8269314766525587,0.7448094311101593,0.815013340978189,0.8030581082003879,0.7959285549052634,0.8186358896074669,0.8495634112941692,0.9311185867756401,0.9499252514708506,0.9588463827657182,1.0508991532133825,1.030802856464944,1.123097239687608,1.1789725209490378,1.1736714902906857,1.3106194205050647,1.5070298524429926,1.4419490089069216,1.5041667668193306,1.567397240405851,1.779913488346521,1.814891450987179,1.7739076829857185,1.5734551243152861,1.5542983719420849,1.4536362664605955,1.3869010855847035,1.270623792495606,1.2777570952206776,1.2092099260001963,1.2071654055208874,1.2893792323203679,1.312627191566124,1.3821551084672534,1.3614466450577452,1.5738999258930468,1.5959337750655571,1.7484505135673185,1.6563581499567792,1.6110804075184022,1.7189799550773233,1.6362833529853422,1.6885549780937559,1.800382377262167,1.8689564246752706,1.5163794057925568,1.74654963544436,2.4628907288937643,1.6325959677722501,1.6478404813890002,1.790136300021672,1.7526844808677264,2.0457695704132544,1.7090903812054175,1.6206435472198155,1.6832712912868328,1.6988342987860972,1.7941700186066707,1.7412113764867705,1.6031484417839785,1.5998502945035054,1.5783676605710046,1.5902283784872622,1.6286058611944907,1.4829991709694508,1.4060374750717313,1.4080779578669338,1.2791522228879475,1.4391939933400606,1.591413779894104,1.317597901568144,1.5159940674966388,1.3634067529296343,1.3479783234338791,1.4484621977129746,1.418532038921167,1.4343417145742803,1.5461494050640352,1.571368125322757,1.631717848152834,1.5157435729775732,1.5635940178303942,1.470433117674573,1.463713822961929,1.5571586593219684,1.4347844840568316,1.4311510849753586,1.4130798624467782,1.3613301562536269,1.3434166698971324,1.3365150256230272,1.2473665484641718,1.2134394295183866,1.1592587640259604,1.193843748055533,1.1047887826324874,1.0208614516259746,1.0311010054182512,1.0606403352018448,0.9925245420353443,1.153701614394708,1.0643774100733676,1.1142988639325606,1.1375033959140946,1.0316636562495958,1.00481991505731,0.9102475402317645,0.9348161324397009,0.9154418261970236,1.0258061844597068,0.9263038677196863,1.0245056462678528,1.0578140735217665,1.1754461476112141,1.3643575868337643,1.3895376455733637,1.4765738566067208,1.3170611400062386,1.2101233536344174,1.0450329582311664,1.0452349813835964,0.9461973369728891,0.8933826965520568,0.988646788876253,0.9442914204389984,0.9291722542741823,0.9282653775923768,1.0101762132906362,1.0342803706952495,1.0549707703776863,1.376527440270158,1.315261139256663,1.3907467165104748,1.184883166553846,1.017967897939557,1.3369738890465568,1.2554754991104695,1.5385483922060073,1.6114476598409857,1.7184787121043237,1.602066842696499,1.5669399869714826,1.6068810450023958,1.4623011009433668,1.4070593380436411,1.1928395382924417,1.0894817323176167,0.9852361743341318,0.9076229583310713,0.858082821750886,1.0004031754525433,1.2365485090615753,0.9978942889056784,0.9405732977667699,1.0010083888916796,0.9611111448729092,1.1167698843492693,1.1634174931581525,1.293829400282691,1.4052176935917475,1.5206079913447608,1.409836038170119,1.348606610466619,1.3964497937515177,1.402900015774416,1.8265751874691456,1.8963635851140777,1.4734351513243291,1.2104896750630125,1.290176042292427,1.2263092910065845,1.4751186622132333,1.4392999339601231,1.305955159602566,1.2659996325197391,1.3799824694071212,1.4844113063592734,1.4747986897025798,1.4347711260287805,1.3587865737528302,1.5055913220167383,1.6401209849685805,1.8147634423176158,1.718438495322698,1.7356062536458559,1.8080414428846616,1.9372852847030677,1.9562570055757125,2.2111126311582856,1.9974178706808616,2.070960617126916,1.9309306018871182,1.6923782735288726,1.6515969332127507,1.3839132691365732,1.1622868697364799,1.0386217920536338,0.9091459310102659,0.9797935950038947,0.9307661566497681,0.89737685849658,1.1541407598444196,1.1549961834047127,1.2769588714889164,1.6401677515989408,1.556879743218995,1.4587137750374504,1.7765081002233227,1.91886199500768,1.867599018846433,1.8781821308815372,2.086548852587188,2.1342013836945206,2.1056788833802025,1.993734538551326,2.034326247168918,1.7641119506604048,1.7208699710951385,1.478897923500485,1.6878158418313796,1.4633259321679803,1.7144758104872369,1.4040963744771686,1.238806491748067,1.1251979957446634,1.317651676229771,1.2956403430501855,1.2320168286054294,1.244604738456254,1.514865020667584,1.4035655691866034,1.2750088023099904,1.3948834415531148,1.5935806034458295,1.4824037601426918,1.5147760739151332,1.1613376249534926,1.0827996820532795,1.1456852831422661,1.0571575271723885,1.158459250518089,1.0519247424147553,1.2274489233500032,1.1167987086491917,0.9788383895477815,0.9312193580360585,0.9846712957426538,1.099357832678277,1.1633873011530835,1.2501666663180535,1.3626816352225328,1.3849891512814918,1.4258155134525818,1.7163186953363232,1.6540127644636897,1.5379497009987875,1.499738243110074,1.3346680572694223,1.220864262749441,1.266957129033426,1.3401204944755132,1.3824428558095447,1.2298801046366672,1.3783344340896762,1.4791692214305676,1.321626108104842,1.3629884298255586,1.4974286867244864,1.4891190947048631,1.402296664106751,1.5041649581641534,1.7934186075081548,1.859686961176787,2.0297574874701882,2.4892016782893434,2.6305355341590446,2.282740517209011,2.3219774023367417,2.0535111789335225,2.18456079586754,2.4846025402124323,2.3469254489885563,2.2581653195457223,1.8604568739709677,1.4862923278499347,1.4585677594878856,0.8718845487584095,0.8127077615593364,1.7238490667704722,0.9950865829267274,1.0178892042654473,1.0510080869334595,1.24720621469332,1.943765996734111,1.2927469923327806,0.9971315653943111,0.8488567406673025,1.1788888353038731,1.0443267530353177,1.1772154200285436,2.2561811545292185,2.7132943550201],[0.9922797493187249,0.9784307205599119,0.8917203311801253,0.8151782989707486,1.0193911057013871,1.0093314938425832,1.0457610918763542,1.1013270180479562,1.0699178975689605,1.1176386407692833,1.1260429946134654,1.181055600450329,1.2428475571557664,1.167012445136866,1.2600072794906514,1.3385482526361183,1.2897746663453036,1.3962653427944502,1.5387547163010717,1.5133300509065233,1.540762703519473,1.629338463542267,1.7988795673423181,1.818382790145746,1.795483617307543,1.5896346389517915,1.6115152981541965,1.5241227252745433,1.5039371983550551,1.4472200663879866,1.4148418292105562,1.4161596941946186,1.416115789688901,1.4675665790164998,1.5024957171162294,1.5326864055668041,1.5683340769038674,1.7245184374713218,1.742963269413688,1.9389713826943678,1.7652692128687828,1.7007350656056215,1.8437713606189305,1.723408072900183,1.7324699019271657,1.8353447474284916,1.9133714836664528,1.5705576906301886,1.7865377508958264,2.4886403507807064,1.7411562926570148,1.729087623534647,1.9693816653707856,1.8981681425733088,2.2356873325330007,1.8835811976044898,1.7443484814757542,1.831214767702132,1.8605742940460335,1.890275066082636,1.8511307007575726,1.7114768428693075,1.7210173112237082,1.641502311999929,1.6581725152231332,1.7264141915258775,1.5286763386129278,1.4790401412444483,1.4298992765303007,1.3255182497396545,1.4384668665773872,1.5716741451528797,1.3468526057374095,1.52974946777889,1.4371080064481496,1.4231798766774384,1.556232033320102,1.5571649398404077,1.589623464066885,1.7064169726966005,1.7787165736675403,1.8524330645611025,1.7691585225433444,1.810414287421879,1.6897995607550167,1.6880361757754199,1.727652205281903,1.6398602617775135,1.5770856785565912,1.5857201097321527,1.4991172567816635,1.4588266988889953,1.458600783057886,1.4012959871206998,1.3684902913413188,1.3044210561474239,1.330714574379711,1.3096004488734287,1.2555847537119647,1.2990960734870312,1.3198591433099465,1.3026018129038082,1.437067703271214,1.3913202679039534,1.32081157126397,1.5090208252231783,1.4087090380445377,1.3607432611476626,1.2823563387429349,1.2962809563618,1.245232899285706,1.3608794729736626,1.220982938390579,1.247906745396825,1.2058784969312193,1.262578516796426,1.4294337393907686,1.3904968361436747,1.4706330250334885,1.3550822643046836,1.2283508921404807,1.095724588243661,1.0677591992425484,1.0303513453915898,1.0597933554967596,1.1854788562483174,1.1546033360607202,1.2520467645335416,1.297388438055528,1.4192202432727794,1.5129789224387815,1.5185341460754769,1.861786681715602,1.7648696596818647,1.81472370151798,1.4802797668572194,1.2391007470228057,1.454758308945341,1.3031834341951802,1.6283714757677945,1.5798850062724135,1.6940093240525542,1.6118664178630036,1.617951973696983,1.6914954504935464,1.5883660428947526,1.5416027611411045,1.3917186497019736,1.3487420600864966,1.2559723528075397,1.2293516825455832,1.1549998379508961,1.2711275755708513,1.521561912128052,1.2681868642082241,1.2308170592976742,1.2762875862169831,1.2782104346561054,1.3816563346819866,1.4647387532464498,1.548784554967226,1.6080798059304815,1.671014050422539,1.5815032048590543,1.4834008179753684,1.4741449699928963,1.522483647475897,1.9062640587426032,1.920746407479299,1.5344566796109427,1.2803503036738009,1.4425854404373601,1.4113239317353783,1.7232909582156963,1.701060244490099,1.604210649268896,1.5247153569637584,1.6795729600258813,1.7626519317885638,1.7923711552641597,1.7134829178457485,1.7022118848958685,1.8670955850862432,1.9888109542263688,2.139337790261823,1.9877619626393892,1.9371346113184233,1.969485309929341,1.9766487802919122,2.208671260300646,2.330888702196597,2.1393606990935514,2.2774098203494284,2.2146819107527804,2.1010730464242133,2.089441658603261,1.8569367084582795,1.565917732449672,1.2694539688856985,1.2211465065208607,1.0616386446533048,1.0300776994742578,1.0001145839854713,1.0394270160320986,1.0631236704237146,1.1693883795922493,1.5117397300515236,1.4331366811018742,1.3409565134323955,1.6766841209341,1.8552744027269887,1.799156410766956,1.8024580775431216,2.0482394932875607,2.1515753753942777,2.1327080303458184,1.9598556895548813,2.0631520066531293,1.7077442175775963,1.6513407835149467,1.375042654330667,1.693601968001466,1.376714909293493,1.553200907242365,1.3264618942620543,1.216009246302467,1.148536252291149,1.4519663353165437,1.3473757956113974,1.212838801756636,1.395853122867,1.6791641479034674,1.4786360558351312,1.4191375428277009,1.628980938572586,1.7777196135187792,1.5552941749241007,1.8161146898141975,1.2384542051340632,1.3823809891493968,1.3779352817125754,1.1123510480042704,1.3077256844616514,1.1856252878370221,1.3962901857372818,1.3148385641549234,1.0863755131480595,1.1162356640692055,1.1704671232773354,1.0926088499963131,1.1449734049141462,1.2188794922841966,1.2933634706688097,1.3091275981788042,1.3509222095250728,1.6429104572353619,1.5586412948824746,1.429429659907797,1.3829031295158916,1.2128157247045122,1.1361322007312753,1.1733508811345643,1.2177272953017975,1.2587537730376748,1.1302380698188994,1.2556714136776241,1.349022191720063,1.1824103541672302,1.2859547709031933,1.4014343050260358,1.3552376102740387,1.298937327730073,1.4326095257358666,1.6922470627931405,1.7612745448769138,2.024029710428165,2.5931808192648966,2.806991592502608,2.4057099295690305,2.436655642219428,2.0521051492462763,2.1445166363454287,2.5259157993139456,2.3930712240196876,2.3931130356008072,1.8797248532593904,1.3198736425479278,1.2984853912512713,1.1002611506567215,1.1010864868488919,1.5157699699906677,1.1121636996238777,1.0961963182420063,1.135112237521026,1.1872367226365652,1.7926984808021125,1.3012189928978275,1.1217984641643215,0.9400748777083892,1.352523650510606,1.17667698617976,1.3001118673546415,2.41859703518992,2.927586955280445],[0.9615752445379876,0.9723953032233464,1.0256620274527084,0.9389561019827446,1.171191323733742,1.1634288160722839,1.2111179119577278,1.2448741736162219,1.2046131248092167,1.2512184313721149,1.239284455857921,1.3020943512696006,1.347404227821931,1.260880948681582,1.329612867428864,1.4099443353719867,1.3527687846004628,1.4253514097317728,1.5142885241563924,1.5142082577935718,1.5227446438392211,1.5838390885443923,1.752711646509664,1.757335546892933,1.7793915698625797,1.5684115926728583,1.6017458973602479,1.5441690789561922,1.5284914692589637,1.5010551997528012,1.4674276464409213,1.4836264155895922,1.478499632240066,1.5061980045591514,1.5414365391384879,1.5550561796006448,1.6071616211426267,1.730137556741091,1.7437341957551205,1.9106823706770757,1.7092478333011312,1.67714878529083,1.804105304788505,1.6860223600800441,1.6703598072601986,1.753999290066062,1.828604128017655,1.533723027702151,1.7962372925879124,2.5065428392090943,1.7072655087923538,1.7250736425406485,1.9476081643403373,1.8836831084321846,2.218199443427052,1.857596634679983,1.722209442649768,1.8175757830477546,1.8482472097814435,1.8842257714352728,1.7990464484948863,1.6620711317891466,1.670929337210805,1.6109997276057713,1.6296269463020712,1.6719192565534657,1.497342159482932,1.4676699403010829,1.4225461471032528,1.3530651028518266,1.4338764426057793,1.5607304365643566,1.3583953965221618,1.4941550305661817,1.46403496516013,1.4548771009402677,1.5482053952069674,1.5526349053506068,1.5702247786479864,1.6959550978996343,1.7784759433933657,1.8512778587451513,1.8140241108042248,1.7976428363237935,1.708970190408474,1.713701118877413,1.732336211955521,1.6519195488046572,1.5728282899511086,1.608196849593151,1.5153685856514594,1.5038580898964542,1.5011514562981043,1.4515091813481713,1.4249116168632825,1.3621604395521167,1.3626658784128398,1.3838012008271183,1.3437283303126297,1.4028708249891164,1.413036690325796,1.4249970930014328,1.540927883107513,1.5179144877513913,1.4259727970282652,1.627581467417611,1.548290639101795,1.499821406171867,1.4194787335126906,1.4345189273004861,1.4086311795741524,1.5057157244776032,1.3704990997224091,1.3837335775714388,1.3192222495014894,1.3624219491330043,1.4905168927904147,1.4203215053283902,1.4639377759457595,1.3757107312076553,1.2721792284553868,1.1700628451905144,1.1424586752089592,1.139680334468515,1.2080956616960585,1.3393198588894066,1.2892189330919024,1.4126862819517745,1.4490667589485657,1.5171212132002718,1.6462846732968663,1.6224703577947708,1.8860203037778873,1.7851175558668086,1.8261264543162035,1.5185179536133642,1.305467008914059,1.5900530758783225,1.4369380891561851,1.6516192435993617,1.59319602671295,1.661411698723143,1.6192119139363204,1.6488417960032038,1.6942006200323303,1.6261351038081475,1.5998117354462418,1.4766635374907064,1.4632258915770913,1.3889007422279336,1.3580277431956274,1.2827708111397336,1.3663256289442685,1.5809558702423798,1.3618103844248772,1.3395704465729938,1.3826235838189007,1.4017451693007965,1.4804105969252994,1.578231346902372,1.6329349591690772,1.648661536645634,1.6752639394735127,1.6037035634030863,1.4843047911807539,1.4448593046014988,1.5458414348357428,1.913309437647096,1.9878438603719504,1.6236676658378284,1.4139443922131512,1.4758792116636388,1.4486853900189034,1.752207997077537,1.7424883149631964,1.6751059097788101,1.5871655409849323,1.7411520994722425,1.7827574079422455,1.839641632216715,1.7332599799990822,1.7695152394962368,1.888063994779848,1.9960916679626806,2.115928031561007,1.9452624074696068,1.88946013703106,1.916405734533341,1.9855334738537322,2.116501180676577,2.3076729338820416,2.117623293984298,2.2599961623643314,2.210144137258057,2.0780115160320514,2.082506582708899,1.929048240535382,1.6601278103926334,1.43938308003857,1.3670558540240685,1.0948476034599819,1.0706676653804983,1.069221403743428,0.9476348309679758,0.9603570499484866,1.1149955279801818,1.3241762740216187,1.226948710707831,1.2470232156582846,1.6244893896830899,1.735312296668046,1.6861435495572863,1.7903798469333698,2.011493929470303,2.061906307045454,1.9709052733588768,1.7960419251775075,1.747787631365357,1.4110103873504676,1.4045685539587,1.1389319159611584,1.4429079507354758,1.2030467053581444,1.4289618925232348,1.1885658747374557,1.1442213976003466,1.1183510135272434,1.4173631411989178,1.3012687994064702,1.1814964484880164,1.4391329180695598,1.7163732886000997,1.5653413349502376,1.5203544953996115,1.7197380041152102,1.8743945152300383,1.6552998233378193,1.9684679380578518,1.3724611195373206,1.4721863414102805,1.4354984319480752,1.1263977460330261,1.3091792092087515,1.1453997135965188,1.3662209676375854,1.3269722714931516,1.0414862363950743,1.063109199021033,1.12808989038851,1.0398895925617213,1.1032243650541893,1.2098045689614447,1.2600298977338145,1.2322544125705122,1.32512707223964,1.6735800691883194,1.5023845274945145,1.3589036238029328,1.2537213179915967,1.099120645968717,1.0359631560112958,1.0409692156963102,1.0345984883758386,1.0699302950149858,1.0012020247544509,1.0497626262154744,1.0982269398161375,0.999748227845809,1.1643201475491787,1.2375126534801861,1.0645956067418132,1.2318295276403346,1.3294659305371779,1.4573652332011078,1.4008236766782702,1.5259396495789843,2.080122574647885,2.4089903746787913,2.0351728046508533,2.18393182172475,1.7563338279244252,2.0191288647750922,2.4334146019782965,2.1381406704662793,1.889600642904495,1.060978424213236,0.9130275936299073,1.0648568577813675,1.2516669746234765,1.2526345269270476,1.469227421252058,1.202553648109641,1.12771440276676,1.2648075775036351,1.1851117190581284,1.7324161903443844,1.2701855958462294,1.2487437724313641,1.0779657964423666,1.4206369193033215,1.2357208380743725,1.3422545483760124,2.370461344225135,2.915311715154496],[0.9320454737643143,0.9538565884108253,0.9860753079790084,0.8445033809889232,0.9523663975648321,0.9342146296606723,0.8875694880515737,0.888072993619813,0.878335435483201,0.8609245550183994,0.8576794977948907,0.8991675305165023,0.9073879836487991,0.8523741033000293,0.907348490380842,0.9655511182989799,0.9098035964228611,0.9851288194881821,1.1130216212893977,1.0657003643633947,1.111197412479869,1.1804366557102266,1.3958737809354445,1.429106254695372,1.4188586446782727,1.1687409884871436,1.1745735890457591,1.114529697125278,1.087994836684396,1.022411036292496,1.002685231404032,1.0080459268469264,0.9997643332359695,1.0389996274072741,1.060576824327713,1.0744693381448704,1.1260104225726206,1.2557924513386367,1.2642423793279283,1.433027599720476,1.3019161707133007,1.2381098308157088,1.3349184514247268,1.3012742105001804,1.4210686290282384,1.6354411210842066,1.7889712151818182,1.3236858729655334,1.6028022689002526,2.3793991884314343,1.434422447193687,1.5601939009865167,1.4948868486927775,1.4711767928169042,1.7656569382264313,1.3874569662913032,1.2987679699369754,1.3571412635384925,1.3501281512633898,1.5366232228976613,1.376380262464797,1.2180472655281847,1.242534175917856,1.1848898259600007,1.192390712665037,1.2392665458698426,1.0975873305469308,1.0204317611564795,1.0598547080863083,0.9673488025810116,1.1387012037181246,1.324887768610658,1.0174378767203156,1.1665107917492687,1.023447461849217,1.0592141443375211,1.0860346620226586,1.07256798104183,1.0905121493006507,1.2043373706409706,1.2748279692309632,1.3512938742993652,1.3437710745833364,1.3616266001830817,1.2308542304033434,1.209980427159851,1.250962639551002,1.1693001444179691,1.0885143366279633,1.1231843638718757,1.0426002497119047,1.0451974330539928,1.0580087819777948,0.9945537935591583,0.9835864268310145,0.9564379255567076,1.023098389136893,0.9526181259759173,0.9146698574074664,1.014195345566185,0.9661444292004634,1.0008081042206143,1.0610896417986064,1.083703562878434,1.049122255294434,1.204337790414345,1.1636941455956402,1.135342146780546,1.073359208644642,1.0745335772900497,1.065073001030823,1.0571970784089844,0.9371822239775608,0.9257864866357163,0.8769290455781308,0.9458173634974644,1.0659786877991986,1.063080054654797,1.1406168233717187,0.9576841991669933,0.8938620539041661,0.7738740720520729,0.7968598671781953,0.7676827650791974,0.8341422884198865,0.9192119431436612,0.9797328165481741,0.9613149525635691,1.0324382673501573,1.0557360257867527,1.216431093080868,1.2506235448204635,1.464010992403657,1.330401922305307,1.336546961681691,1.0317915079135453,0.8850038274157304,1.1997484950845816,1.0694542162121188,1.1577765229523505,1.274271242447392,1.3919757237991277,1.2479476269870482,1.2334487724969823,1.264114217912067,1.1682358961310468,1.1420782035908172,1.0012125921764308,0.9791149400967587,0.95427830039352,0.9710185124631695,0.9196114708658291,1.0458281971616346,1.3294678875780521,1.0800909286250553,0.9578778124186642,0.9627022391181703,0.9698923014388622,1.00635745046189,1.1065653832772724,1.1294992854265355,1.1602062468146528,1.189835093736918,1.103916342281318,1.0558416112711018,1.0970581954071636,1.1912054137381576,1.6787859225818746,1.7801923518916465,1.2783651817563604,1.0846338872647356,0.9981714894778594,0.9648404996767312,1.2651059201139236,1.2386950610300973,1.1862044764308224,1.1036202194934241,1.2487729348281624,1.2817859121855462,1.3611070556330354,1.239739636426954,1.2949741399183383,1.4444088393340813,1.5686708070880317,1.6707208579559125,1.4801144812795035,1.4193282717257414,1.54897150975889,1.8751292207741441,1.6889131655664482,2.1402839661525372,1.9491037604043617,2.0350265036968493,1.9226289126876266,1.7838480758137678,1.8747838825934247,1.6064422434579524,1.426854091799624,1.291366846872501,1.143063514382366,1.0435317992601794,0.9418784938621804,0.8909587666899315,0.9187635835073279,0.9495846841380533,1.0299209289470943,1.172275308005521,1.154763521081322,1.2069710655986705,1.541426829039819,1.6042369033246597,1.5938425088642754,1.7481016346744973,1.9065143228451549,1.9568892027272982,1.7834974146458589,1.6689725264609203,1.5205669169017444,1.2875846723285795,1.320541436210093,1.2125755015844923,1.5113929846507659,1.3398039540967475,1.4800875595693126,1.3092445642585682,1.2784913920336214,1.1758353125270837,1.5163121313667607,1.4723104138620389,1.2941648941714712,1.4876040350311477,1.8525439409694993,1.7257096535013245,1.5906656033684088,1.728334200397014,2.050493807861954,1.832557113343865,1.8939710830374716,1.3768752544010407,1.3186834797287614,1.3532477852626386,1.099844601115052,1.2171706925484596,1.0648418420339376,1.2273336289252248,1.2153364247499947,0.9846792557699022,0.9214559029274411,0.9637178741631254,0.9682510129029841,1.057076295492433,1.1622832216111978,1.2083575195972487,1.2109744252870387,1.3151054953355934,1.6430195621247254,1.4788380475188192,1.364861503433177,1.2456894756774435,1.125232868874536,1.056334790825362,1.1054488911395668,1.096607576160094,1.086323646801335,1.083878885674236,1.165854850543874,1.158616709799909,1.1191829703430651,1.3490599478243557,1.4275201653544232,1.1846843504309685,1.4031046196166328,1.544769626286065,1.5457214387595746,1.4085981102843992,1.2827103642125743,1.8511780701226066,1.9541577065538813,1.6886331976106193,1.830533177902422,1.47635346364517,1.7761862207518897,2.1041820954900934,1.669547911764333,1.4163215759068486,0.8673120828498551,0.9217049307199232,0.8829301935666353,1.010682046308248,0.8867976225756405,1.3977139973441082,1.0406607796422902,0.9679575251064985,1.204670185374779,1.023370923465227,1.5822188832624644,1.063541159569626,1.1443226492413294,0.9669671716382467,1.4018744306824642,1.228313909871797,1.3482815762499645,2.2972535625257535,2.829909220412562],[0.7946197076800435,0.8091778503960291,0.6888852870869546,0.6173142121605493,0.7664885281143856,0.7317091549540485,0.6814650055075219,0.6574764226267962,0.7086526271206638,0.6889101180766682,0.7018316254499104,0.6960225842021306,0.70153727630752,0.705004461252801,0.7380625583720565,0.7594023638030962,0.7279089353445419,0.7993250037001852,0.9183755587776946,0.837868167513867,0.889278976915534,0.9125964675939343,1.1526920350000776,1.146883095952977,1.1718764789236893,0.9394640212264859,0.9171811668635691,0.8876218891494265,0.8652125358620187,0.7636800964093948,0.7885684028799224,0.7469832625295812,0.7402819834587316,0.7813822316769565,0.7782539274531127,0.8047578806392216,0.8295041647072107,0.9637722269559706,0.9512355031223013,1.062213505271134,0.9795451458126624,0.9611401670363444,1.0296712037941207,1.0342064274241678,1.2059197851862884,1.4853495969707426,1.5983237727672843,1.169644552470275,1.6774686146616382,2.4310500633012824,1.2451185108836327,1.5900942728176728,1.1851112708854177,1.1680731823160073,1.437036893889616,1.067154075397448,1.023003499368663,1.0444037106512045,1.034676120718258,1.341058353945454,1.1012222142961776,0.9741827580392796,0.9927119366019199,0.9744609179977468,0.9526712868532249,0.9772286011571867,0.9105383500449699,0.8271596073119145,0.925673746781775,0.8460162768738962,1.0549196795676161,1.2656975146970189,0.9225768675792002,1.0255789917927849,0.86754405238564,0.9571604753057371,0.8437617999886543,0.808826872610237,0.7966326964606201,0.8934155659151829,0.9417332411380807,0.9950296447123624,1.0356724346049209,0.9995503509381323,0.9111890932272935,0.8615825419427197,0.939586770484992,0.8520181875994444,0.8102447981150257,0.8461274261951645,0.803985442540451,0.8730216071475201,0.8646235410716189,0.7812776066448787,0.7850235027114384,0.7994000451319169,0.8901233097923829,0.7382385172362506,0.6824142896912053,0.776593812469731,0.6828958344798972,0.6797195886166284,0.7125892651623297,0.749807908329836,0.8314490654061499,0.8217479384942221,0.7853629593545521,0.774507487060326,0.7136091110004626,0.744710405808171,0.7459435048594092,0.6907055427216287,0.6439642626678032,0.6642983192427072,0.6860803127331471,0.7818141453878625,0.8997895161688033,0.9213938179513419,1.0040123816240476,0.8015225284250724,0.792404845051812,0.6744368982742268,0.7243852076326861,0.6580407327292678,0.6757164826959664,0.6668543385395247,0.7470427179461986,0.6273369928838102,0.6655318750787393,0.6506797094072204,0.7954561613052729,0.8201960531340342,0.9954547916313101,0.8317924188207312,0.873668060223213,0.7162822089956418,0.7653894336953119,0.9210063190771907,0.8555035052481511,0.8545622271207329,1.0976906059619869,1.1678100840328625,1.0361330733199818,0.9887864768963407,0.9778660423400555,0.898612878672774,0.8806563601917025,0.7328019767319165,0.6663835275655762,0.6887763728198419,0.6747883351600441,0.6706242983368474,0.749976217549185,1.1542330242172811,0.9215026413749045,0.6936245016904058,0.6752557059415992,0.6456019255872346,0.6951936291834767,0.7452007705697495,0.7829315847664593,0.8338828754159978,0.8501546525885499,0.7773911374724914,0.7905158868846439,0.8209463925869176,1.100261429099185,1.627265421652649,1.8849388586194658,1.4523357699529857,1.2896546841161007,0.7631098422015878,0.6918583117231243,0.8835317489713804,0.8509673517149338,0.8140415748810645,0.7660069479397055,0.8821623194574738,0.8734056339398442,0.9450197758373379,0.8743601222732932,0.8860370111946237,1.006101359556147,1.1270408993773338,1.2115062627212703,1.081721417995778,1.0398931346482223,1.3205136101200363,2.0383170698884183,1.3881734555673106,2.016205111995061,1.89592574096096,1.7882258941989637,1.6035567775121622,1.3365950690613213,1.407122126425984,1.2293617611219743,1.0159226185546544,0.9512083489351068,0.7741822486541486,0.7535083724102505,0.7066001135659763,0.6672613461495379,0.7743109899350741,0.8317068758358265,1.0221622941306756,1.099683834023075,1.0830075602924922,1.2219048806672972,1.558037972768533,1.5437723683267965,1.5662633751803476,1.7747748166111845,1.8612907997339818,1.8402027976900517,1.6135111565105007,1.5949393989611236,1.3046705690462992,1.1642720886878521,1.2165246833307892,1.0726661597292177,1.2566902808628242,1.199267348113449,1.4905064159222114,1.1275916673985549,0.9981432416578563,0.8968307237405074,1.097706672406572,1.1036243835155635,0.9952237663325617,1.0808954993513857,1.4083189508124752,1.3888729812244318,1.2049728929721455,1.3255588301597292,1.6683563136559898,1.4939015126755784,1.5384829267424185,1.0690934550555151,0.8994670305825682,0.9331984258306134,0.8289788960613094,1.00824396773014,0.8567999570790915,1.0995072782265831,1.0711001986065465,0.7431502384765971,0.7199711384262641,0.8164795941417513,0.9219569388871857,1.1046134807891965,1.2550673068291724,1.2886050756907645,1.2624694389940117,1.4157558748964458,1.7293339951023954,1.5268364256499694,1.4009606902294565,1.2409222908104078,1.08351475531085,0.9989032778194287,0.9508120685222767,0.9903800366970118,1.0060209728553935,0.9105760489015794,0.9918954092205272,1.0253729506060507,0.959118916529873,1.1119946333052848,1.2607767382585426,1.083883963020586,1.2382352645847343,1.3462694914331743,1.4498590044640487,1.3332095197331522,1.1653078845735942,1.5646291864330144,1.676394635087021,1.4166857581063503,1.4908382241559865,1.279671440622737,1.6413683342252356,1.7892912386591602,1.3021783962587277,1.194406173164239,0.9965831415985298,0.8588375879453987,0.7734080145737418,0.6842453898104006,0.6194790776759228,1.563295115978403,0.876492248664837,0.8119533543458649,1.2380650303049876,0.9331065693460727,1.6043422376238312,0.9092021843065479,1.079421718235608,0.7170294036561283,1.1209395628037018,0.996835066222739,1.197955385016394,2.1863763495783273,2.5400820860231823],[0.6270954612470976,0.6096496398602951,0.6794269044814032,0.5612511694607808,0.633585230081584,0.5992272675804602,0.5246456344787691,0.509976393067539,0.53231964606595,0.48641408499538635,0.5025768085952595,0.5024489866914853,0.5141093642354158,0.48872340892104754,0.5212819084307402,0.5407370890553963,0.5091069782863422,0.5555652807725141,0.6583191352813605,0.5945653872283369,0.6610638835640469,0.6976839231771004,0.9370405606771267,0.9729916843554827,0.9905499368355831,0.7214499337397347,0.6958032611210041,0.6532106973719373,0.6322398946509692,0.5539776655626767,0.5646066612470806,0.5555446527115637,0.5273439979344278,0.5707256663585878,0.5730529469632634,0.5752253724063731,0.6371400801534227,0.7618056972285617,0.7474298241984254,0.8823941405169792,0.8160887840254107,0.7469981802259092,0.8131754983618367,0.8636379480681587,1.0616169194476965,1.4254888615918646,1.5567369662568327,1.0789616078185358,1.666737941521271,2.3930036992005084,1.182027086260325,1.6287058878772993,1.0528941955199145,1.0295255060906991,1.2897272476662676,0.9034111007303187,0.8473778869393491,0.8506274229098307,0.8302560337053609,1.221420742706003,0.8896422372601404,0.7757757550952362,0.7994177873822929,0.7613688375398023,0.7350168059635586,0.7731844970502959,0.7155948196302097,0.5777835579293957,0.7004033344638264,0.645718345555437,0.8685229235205751,1.11246516703354,0.7353012910818458,0.8376557652862846,0.6434019522743233,0.8825073344268456,0.6032550267321722,0.5746812483602399,0.5792116925515098,0.6876170546715857,0.7419106904899704,0.8218744118352177,0.9055190807183132,0.903194006752076,0.8201498525634837,0.6932549273407227,0.7410317309480439,0.6684440911492597,0.5820849738869812,0.637634631300159,0.5746850255977621,0.7069673525365695,0.6702201154900302,0.5775650147828945,0.5854359131830446,0.6239342986224614,0.7012003585808069,0.547268821352005,0.49268364509030893,0.6198175644097096,0.5201226908512024,0.5709039005050272,0.5684069679230105,0.6514627038708125,0.7696194434217982,0.7620594456028439,0.7647543778631176,0.7588312178802061,0.683454691868025,0.6882832912597757,0.6310169367112347,0.5835756850091728,0.49716727643803277,0.5149865651881097,0.4969963907675799,0.5685004733677111,0.660725632968537,0.6782246382363013,0.7767045635946155,0.5548528207434064,0.5526073836244954,0.47428305211566396,0.5191061756472535,0.4484037532179215,0.48262862052361427,0.5175723953921224,0.6076829133808682,0.563709958962117,0.610122743073957,0.6154365868060885,0.8136718005962701,0.8492055535282307,0.9953101599067399,0.7944341134248847,0.8360933785304024,0.6844174902439527,0.7699791185264003,0.8314489587815144,0.728689623409007,0.6640335912847988,0.9022009023757931,1.0276794157062636,0.831674827464535,0.7808922006063427,0.776804827272938,0.6832281351484478,0.6672744123695344,0.5401221159701439,0.5124560117486564,0.5412464122617765,0.5627594865030914,0.5420191352514075,0.6789963738655528,1.1360965055349581,0.8225037743234938,0.5569628159459249,0.5019244361329916,0.5186529024419942,0.5388220795376164,0.6201779523234661,0.650975984930121,0.6554650120325527,0.6669044956883626,0.6265598525663104,0.6898976400767032,0.7488434170443615,1.0456058419500935,1.5576970490230424,1.8331646535846555,1.410576700871531,1.290532405422719,0.7072387072969566,0.641191553440889,0.7779598652090298,0.7199500817301386,0.6924341223195727,0.617203734598717,0.7708649639451431,0.7381534538899992,0.8425753810119736,0.8029015517577841,0.8008639227568584,0.9532688664394936,1.0873018550776348,1.1515697860846208,0.989371684318634,0.8946868514095089,1.2562355537603918,2.087701489599474,1.2860562670249545,2.0195035749058516,1.8900009374458542,1.7687088681250331,1.5853794147322033,1.343946703424482,1.4518559588361206,1.2674013041457528,1.1097571277770872,1.0496057004940105,0.8251852418794997,0.7938383131171054,0.6512998691379743,0.6037226989061238,0.7197892356096616,0.7480088486256822,0.8995401949047485,0.9044878785560866,0.9500066044558344,1.121552361155946,1.4378617443772124,1.3986700771548475,1.4772296545877857,1.7534016397924486,1.7787879450253254,1.7933618939594758,1.4697019093783106,1.5163411020359032,1.2002554091715572,1.0587729586500134,1.1208096243441388,1.0903280860747195,1.2921480326204453,1.1994151148650876,1.3884675758390885,1.1030739225126869,1.0355425151587625,0.9394649836121668,1.190753514991116,1.2438064104496713,1.09030055209931,1.1776498251597678,1.5603721835438125,1.586351474868568,1.36788809953649,1.4788775008051582,1.905419357104206,1.7023045275434419,1.6941154124947242,1.1969770449130135,0.963142564097272,0.9854673656488896,0.8088438313096894,0.9108066958165917,0.8145007099966933,1.0018468464986336,0.9961264475294958,0.7618539274606188,0.7055727051518617,0.7535586978329418,0.8307355420486761,1.0654917708294918,1.2391895365732153,1.2349821744932268,1.2152322903012385,1.4233259073446003,1.7492600400303746,1.5066130066979844,1.3841191723530715,1.1748556752035957,1.0141572037300308,0.9328624800786629,0.9040759487244154,0.9456897956721918,0.9237455483278646,0.8956619131465593,1.001157730689069,0.9910438257974082,1.0076022848241701,1.2370369114028568,1.4531106990867106,1.2047015679125217,1.405089935781339,1.565553467406365,1.615670074142409,1.493589511978684,1.2223215528064515,1.5754707067106688,1.5876174701394699,1.354336207514557,1.2803555784608769,1.0866740864839148,1.3978848199315617,1.4467049534796712,0.9806477599188064,1.178740682324559,1.2768445392795593,0.9624440031100663,0.6208559347468318,0.7271876677268244,0.5696556429401856,1.3337656037971843,0.8257565742089916,0.6886747749634355,1.2585971724448146,0.7929570580709081,1.3337807412801774,0.6648708533791373,1.0294689601618598,0.5815515108198361,1.0058193915684535,0.9482326725539308,1.2230302833498419,2.2430390854578395,2.6335331919125027],[0.575614442822617,0.5819072550215972,0.5801439006535549,0.37408661659907105,0.5915369969989452,0.5300286890651593,0.5045187581549279,0.49535072284205,0.5536590501161752,0.5241391430584754,0.5412049460524233,0.5405416238581863,0.5554389670692734,0.5420178609986961,0.5602492795880347,0.5682731172313867,0.5448182483083666,0.5688089707409635,0.6400435898908768,0.6022283014885299,0.6728736334558195,0.6840233813807085,0.9167561897089105,0.9466180378069594,0.9947627788831411,0.7252826306408163,0.679278767333037,0.6444693077379426,0.625175715696799,0.584948122203442,0.5737881978793835,0.5953889442417056,0.5636591203247241,0.5952817695255748,0.602711802224436,0.5798367796008941,0.6192110861254001,0.7060368517393655,0.6696831009944384,0.75976441379792,0.7406791182913607,0.6870176390594659,0.7233522715409031,0.7436872827372485,1.0236076194167363,1.4549745782422454,1.5268246625864517,1.1187695692582753,1.8267014683402545,2.4503416396755258,1.161076032850453,1.7716826790974514,0.9508407215417594,0.9083772494510814,1.1360693033147007,0.7836995384652304,0.7686461704554147,0.7412027631647452,0.73230166151394,1.1476953383597974,0.8225622586048731,0.8018280435311889,0.8449156371038611,0.7687885030008771,0.7130599782797167,0.7862889106900935,0.7501430463998675,0.5866019364600973,0.7056057644750597,0.6655112127679417,0.8850756152296647,1.0872421496772957,0.7609459724421495,0.8072823092996757,0.6940326367294023,0.9139649906891197,0.5883571899179708,0.5713325559144532,0.5846014542699167,0.6661874100641617,0.6872033505221637,0.7519212978595103,0.8561966085484366,0.8252101832502006,0.8028806403249675,0.6454326013928028,0.6920467743855461,0.6652677538132834,0.58746635947798,0.6494460375350709,0.5721393279305071,0.7284801074204166,0.6690589386987473,0.6025725508378017,0.6098637590473064,0.6422561792026976,0.7324733529481376,0.5904429529729899,0.5407399066139283,0.6273015992304148,0.5584904354771013,0.5968933564826394,0.5583772045425909,0.5725098511962278,0.7182455331383423,0.6127059316552919,0.6556098550109308,0.660481686685199,0.5913106822026527,0.6578192347676188,0.5240688103056006,0.4720388219088459,0.48105364362094266,0.5243772675877728,0.5444300589045719,0.5962616197100061,0.6567245184854079,0.6713883741822141,0.7589629623729001,0.5876960700868352,0.5706918357695128,0.5178329581441445,0.5567472878467062,0.5309974563925048,0.527080085133854,0.5296490241529976,0.5528602085035582,0.4906133377094039,0.523734915436459,0.556344475257634,0.6495212299863773,0.6622623301878972,0.7562140412672171,0.6178355589750106,0.6500422138277263,0.6624970932148834,0.8503612160355858,0.735393840695829,0.6831135939119753,0.6107281922237573,0.8508990052310709,0.9336547376488468,0.7781971186263077,0.7180152248439815,0.6977564768177581,0.6409972021393335,0.6396285895770857,0.5396790512810782,0.500152819494089,0.5356997074418542,0.5455191906458288,0.5363034422922932,0.6187113557393019,1.1323238489420135,0.8355283085450299,0.5574164177211338,0.5167311474575672,0.5206575518610015,0.5549159139884726,0.536190139282014,0.5821300888322364,0.6009730267934823,0.593976138091528,0.5841501911454072,0.6601428023515766,0.7031436249874676,1.077928808722701,1.5550207264612559,1.9128091078530802,1.5795931465428994,1.478314703603601,0.7894690895011108,0.7001070072816599,0.6666628992972812,0.6189573080659838,0.6114219838249073,0.6080955492895195,0.7078899916344551,0.659726728727145,0.7212938309826941,0.6817095192592217,0.6531011011871803,0.7826913409885974,0.8935995461225005,0.9394568016582764,0.8425792706840091,0.7725779156419522,1.0734010866403367,2.187868378109542,1.1696914241969183,1.8310470631097195,1.8365761549777608,1.574221909425993,1.368098064364248,1.058135182173799,1.1171714992044204,1.036262803194129,0.8937663391897565,0.8912462400133522,0.7058968397540568,0.6856142167110583,0.6178485423571574,0.5854085876850247,0.7181375911836532,0.7617782648576344,0.9532980922141875,0.9111490960052278,0.935041700260574,1.1452546538571828,1.4049898502997744,1.3115347538051985,1.398742588509278,1.6859296018640604,1.651457364301921,1.5895317501309993,1.2937908036234775,1.4173941925067426,1.111473090320034,1.006359578800918,1.0458712514358801,0.9817437964498616,1.194069973604264,1.0642777682758666,1.3892650214329427,0.9928643296431477,0.8973149599424574,0.8586803199971517,0.9765876387154656,1.0233868504187802,0.9293318478530488,0.9706258090476447,1.2733107045985939,1.3472160777513076,1.127159352913758,1.2212191394343972,1.5909774620039918,1.4405342756635773,1.435110085792647,1.0206812798696088,0.7561414358872468,0.7743249572296115,0.7698744467079338,0.919774302468654,0.8440579642166123,1.0638009641416093,1.0124218052222635,0.7991365556843846,0.8012624624733409,0.8193939725269023,0.8965390027671825,1.148361444471699,1.3364724935669068,1.2950679209954383,1.25000803103135,1.463230083035665,1.739256155015255,1.483525475337083,1.372964187350359,1.174093707991415,1.0167924660416852,0.9423759588381296,0.8698940418630401,0.8992654734881143,0.8914617135835285,0.8151535553232828,0.8972658525589112,0.9218045804901048,0.9076473171921976,1.0414999852795161,1.2864854856102999,1.1108012049053246,1.2323111950209187,1.3291835116262725,1.4388437560942138,1.3685083831983191,1.1738101067842546,1.4409409825241712,1.617087992143205,1.287873465708831,1.186430233937367,1.0486665613319688,1.2436242976618732,1.2406547413730815,0.9986340204601816,1.306098806849103,1.4618709241601393,0.9711852459497053,0.691889239369606,0.6424822076599855,0.6027253726504727,1.4141820641710026,0.7569007836610688,0.6388147757136463,1.3288402301409734,0.7418195976147867,1.357357621261092,0.6205180535820157,1.0466317930719866,0.4924204115364036,0.9181566827632084,0.881972185830743,1.278994395952691,2.2407122044953693,2.4524481268790512],[0.7549478688640677,0.8359652714163236,0.7858913577247176,0.6762170067783445,0.896039499889677,0.6632910179828334,0.5851830937549848,0.5771518273614547,0.546408627436416,0.4321873705758168,0.4388799596091635,0.47858947490871834,0.4370572356449083,0.39235079585611427,0.4520816740804049,0.43729833233622833,0.4417003125340516,0.480634009374898,0.624216828886014,0.49866907042161224,0.5966079585447484,0.6218485855051241,0.8955185860632475,0.9289680347267294,0.9351754215212736,0.6619194574536575,0.6150782015381498,0.5170174023646684,0.5039190254780046,0.4301110395531778,0.46381782839132313,0.4513429431955163,0.4464647638128332,0.46352275150592365,0.44280333545072137,0.45117982281969,0.49359417735541644,0.6210460980194641,0.5821189605678736,0.7186891828684264,0.7413370320816615,0.6507759143745004,0.6785843858915563,0.8152704978260703,1.0051570609685159,1.3698494933286702,1.4985724509024088,1.0411859393977458,1.6910721577233179,2.333719441733571,1.1290018465228326,1.6998951640876867,0.9020254065972965,0.8996957896915349,1.1004590645645023,0.7871813472412971,0.7778719772368169,0.7108567909601442,0.6980986894141817,1.244475248049397,0.8072790964810356,0.6638710836009193,0.6569652270627326,0.7444201133378481,0.7177786223663322,0.6663588952656323,0.6522739489305751,0.5112159407557735,0.7082664179488841,0.6326410903973172,0.8977370881522253,1.1559808834853222,0.7453941779179797,0.8846332544077279,0.5963407915181078,0.8693161296228167,0.5216699994044134,0.465455592702296,0.46774337068558636,0.5670330670343408,0.5836536073591597,0.6343057130626373,0.7264303511071849,0.7972133288450342,0.7650130867757977,0.507591933900719,0.5767363743007521,0.542499711491984,0.47153710808390875,0.5332741699766638,0.46896672687510244,0.6573410063704158,0.5930398036264792,0.4975597367355,0.49605873081479396,0.5780453015170861,0.6744254847100187,0.49540190207244533,0.4521478338223315,0.5807991751167995,0.4923553055836187,0.579515528481755,0.4906162798250258,0.597218493060563,0.9303602719665237,0.6364874072263955,0.7000153861295993,0.8026441416164034,0.7400435665362474,0.7427016651462255,0.7146501033134416,0.5128502497932076,0.49217445021100714,0.4585949505767228,0.42392840926073067,0.42970779905360723,0.5165710184752571,0.5923414984490221,0.7566128842361769,0.4975212701574327,0.5463705729537641,0.45295168338099545,0.48234652666678624,0.38954617764621535,0.4288931039968979,0.4650895662933424,0.673134237006108,0.5966359127625179,0.647861358027966,0.6479089527234179,0.7190844578220706,0.7451010137087917,0.8635047419080035,0.7071771148008767,0.7344919786123953,0.7431174594046375,0.8771882275075845,0.7594132175139346,0.598249666643886,0.5396906038978702,0.7851955962256,0.9495284457425718,0.7153640603276337,0.6245822290469449,0.6270146663752476,0.5211092880759829,0.4874073023006833,0.4455993796836791,0.43067724429980825,0.49651797823830507,0.5796245995507258,0.5716293325413621,0.6290080227261927,1.0676072022391887,0.8052038797245409,0.5258773595496282,0.4612359908946394,0.5048345449364469,0.4628937350144286,0.5427329413153696,0.4889458111215558,0.4854985852038795,0.5028408692992922,0.5208991461005315,0.610887069559363,0.7135848005710915,0.9458453458119102,1.394304901747342,1.692879684159613,1.430462216770432,1.3876125630846325,0.7015629988850532,0.6323198198781311,0.6106854183492232,0.5484698018340706,0.530011005123463,0.5228095847887072,0.5867803633125842,0.5898860083786953,0.5979396446082845,0.6606030936051582,0.6282649437273194,0.7764836237605028,0.8830618901119796,0.9160815172974914,0.800956039369993,0.7532199672348283,1.1804685788255138,2.4001208524503244,1.170076763038689,2.272675679067744,2.3304472806982193,1.928174009051381,1.6158557112952885,1.268560213319539,1.2922009904152785,1.1037422175104539,0.9155842144430417,0.8988905574383443,0.7647893711371321,0.8201225214310249,0.8400904969913979,0.8232381187157017,0.9070553879907091,0.9677712827922941,1.1925763107338685,1.17911868613598,1.154582365640829,1.3356489499695574,1.6060275818971828,1.524259466670758,1.5685105597213573,1.8125077256193083,1.8175218216067124,1.741816861344955,1.4932054275532487,1.5664429729739808,1.2442920206311001,1.15725535413424,1.2111044376458135,1.0679982639699057,1.2300727961671494,1.1975682147766267,1.5308530143762042,1.1482916976184037,1.0202900527233245,0.9542892222120504,1.0789048786550457,1.0571918716205337,1.0040607951916523,1.031239997765889,1.3195154136544929,1.2972960047069269,1.1085952659678835,1.218329049889696,1.5480289109362226,1.4059314327698467,1.3643032802727877,1.0051495169502778,0.8536815866165466,0.9073706384260875,0.9202010461126824,1.1167634184417772,0.9619692405294035,1.2325235121568419,1.134153305716877,0.8844951427542391,0.9154502842396032,0.9748375376501474,1.1008195280599338,1.29576664855037,1.4634395344124715,1.4559187383299188,1.3967771785986351,1.5627047033726404,1.838519245570334,1.616025764042359,1.4939178730205607,1.322058124350021,1.174146047679023,1.1113373447292763,1.0381109367111432,1.0331261238783673,1.069007692473473,0.9607514800720169,0.996891111057761,1.0372488056925706,0.9650975827557832,1.0676967315212469,1.1984725103483043,1.059408512797919,1.1787055123231145,1.3014846316580928,1.4313351147026423,1.309840287532445,1.140097953565488,1.5361661605094972,1.6238668098573208,1.3419103933823169,1.364046307541392,1.233097242207745,1.5237329370118642,1.5731367921750898,1.2117694001027324,1.1985466136449852,1.076506330140363,0.926510355167257,0.9523332764478164,0.7476913635429685,0.8178043331695738,1.7927493695332997,0.8462609821212832,0.8629622160692592,1.3458436805578808,1.0474398021112186,1.7436568442147031,0.9988743415785788,1.1117103167556115,0.7891864729476771,1.092722640350763,1.0990548315408932,1.6564982528868186,2.4661650397030934,2.6499821968101434],[0.5401534070039601,0.587236023106594,0.6309659667447741,0.47797742281931155,0.7430069670587106,0.4999254317736257,0.4702223676586949,0.48006847432091754,0.48352634616251094,0.4155087261855495,0.4294636592712438,0.45516731168016417,0.4281535626670209,0.403156830818947,0.4517925990280787,0.4277883151499477,0.4582074342790188,0.4421712192299375,0.47152732897466093,0.4939006824216984,0.6144354705749572,0.590434107784654,0.8351697335685871,0.9368310565216125,0.9251912317308824,0.6488672149659587,0.5721484461982693,0.4272469242783582,0.41817686186991876,0.4259047969374154,0.46379094969410445,0.44319138824779164,0.4512946053782029,0.43822752326983383,0.4533832371078344,0.4536831391442316,0.4384733553436393,0.516526276863231,0.4743788519818006,0.5853500273024832,0.7415724222698956,0.5590426755942082,0.5564995558676126,0.7527035705982245,0.986477128090817,1.4819876336029982,1.5913862451650902,1.1244168357088475,1.8442099479378,2.390050098174763,1.159610370816021,1.9080953148411839,0.8346635388550075,0.7984089307640793,0.9606341189338227,0.7478732123638293,0.753978071884932,0.5864637550634555,0.6162144737758769,1.2316620623682994,0.7103651074262655,0.6539531230262062,0.6788145465299631,0.7436023606882521,0.6696762093681833,0.6622299180339271,0.7244336509369419,0.4725901886932981,0.6239497791225571,0.6139962835421091,0.8247001033113187,1.1153302948878716,0.7359664211975179,0.8195990170644673,0.6211738523531539,1.101588219142724,0.4922132862517294,0.4502804661743865,0.45577500369390733,0.5250649670501863,0.5063494489944549,0.5512143662617012,0.697636237549809,0.7697002802098759,0.7728602964340024,0.4518417208450034,0.4802776386253351,0.4663242528091314,0.45903521164877553,0.48659844180720807,0.46098795576176077,0.7304187265135882,0.6153354196515369,0.5007308154481822,0.5020642466760703,0.6188715402527877,0.6924868376227069,0.48941983404828665,0.4489121103848281,0.5366583083192761,0.4737761773089197,0.5444834519597035,0.4724864451720475,0.5559959286118042,0.8914891961482541,0.5589377057492795,0.6043494031439685,0.71426018138093,0.6277472437961105,0.693897177394541,0.59809119784534,0.45948918910020325,0.44199223111670394,0.4548693335976868,0.41250637133416035,0.37931770436381784,0.39698700208695203,0.46621635407078177,0.6356112563883005,0.4586895122566501,0.5104134514118359,0.467483624741841,0.43430792726989637,0.4094366979714147,0.4212812056622714,0.4461970409851302,0.5530712442141619,0.5462950650434996,0.5447491221037244,0.6162275697680609,0.6064571840671833,0.6167609448047828,0.7679532031813604,0.6446127440131592,0.686464507105068,0.7664378166487599,0.8800530501096493,0.669738408978067,0.5366443121811343,0.5793569384585493,0.6031659108093418,0.8111901508281093,0.5762349505029598,0.5095554208591574,0.5088337472797224,0.4332348885056283,0.41869291844330053,0.4482670436692979,0.43366466846122226,0.48048816839094804,0.5460971464802018,0.5276780243010083,0.5945799556795747,1.1378892162441292,0.8218223044863018,0.4828874250987223,0.42822056572626765,0.4786445666672482,0.4347113397496977,0.5074033925548908,0.44961519108213,0.436121313303256,0.46728862309493324,0.5114586071908174,0.5920859587941603,0.6855378365207118,0.9617584232177454,1.3797443013456259,1.7231478776250724,1.5123494961663235,1.4827314826862767,0.7628523162984423,0.682991257737985,0.5236539285181798,0.4869439152131702,0.4730491720868546,0.5000591273766919,0.5467015922483727,0.5485721961969878,0.5017413287707243,0.6004896776880831,0.5336448463483229,0.6587042617439242,0.7508887903794608,0.7668891195542121,0.6987521566729767,0.6835213195427269,1.1070744438316462,2.707126422014008,1.2044165259945252,2.35265210799177,2.4916693149765545,1.956845030532064,1.5885113471083334,1.1894860852577598,1.1992997742274303,1.0050499923606404,0.801550334376571,0.7872994578021381,0.619111651867205,0.6717365512007937,0.6890352423427383,0.6555262631567229,0.7425091872104672,0.8094905164686023,1.032522984734945,0.9916855668016347,0.9853734306286596,1.185228491180976,1.4215879129581832,1.326766128352835,1.4027439491123077,1.670835102859488,1.610030786663892,1.5783569590018722,1.3175057529722825,1.431212126057182,1.1406480873970353,1.0279031900715805,1.0743115429474763,0.9978902874546797,1.1952178135910887,1.0917442914724258,1.4534429365119599,1.04682918210161,0.9175305782135578,0.8543703733045025,0.9594182009487595,0.9946837886941217,0.905903140651259,0.9189375437332812,1.257211758915221,1.2675260593741344,1.0392247938353536,1.1642494590649406,1.5447448423006847,1.4010818305266453,1.3253387485150223,0.9266567350793634,0.7264288906526807,0.7686892207722299,0.793106699058791,1.010058440944358,0.8739662371192481,1.1540927520014976,1.0493540669955936,0.7949028746152419,0.8180872135578835,0.8591583171075996,0.9732813777825069,1.2079159482519737,1.398267762420642,1.3435513319128534,1.283657177038908,1.4876640510659713,1.751543065123655,1.4984152218089752,1.3876738907380706,1.1914829128951667,1.0473543102315328,0.9885961191204762,0.9089203077700166,0.9172889670326939,0.9282303141873499,0.8422752513838134,0.9112644645097596,0.9332467727966935,0.8947908125401105,1.0422677197979398,1.2687812274108465,1.0638585171931063,1.185711824087362,1.3339788625979592,1.4596845638717053,1.3404705521775881,1.1245656734122216,1.5180431415107911,1.6104068651017693,1.305854543254207,1.2282877856439638,1.0727634382378335,1.2679423395444556,1.290924878267949,1.0060712553842137,1.1521925326925628,1.1194686446469821,0.8613712043418603,0.7244065447735795,0.5990554980643887,0.7014995658312503,1.6118413184875584,0.6836608088919501,0.6519717764215972,1.3927802845246078,0.7567528156668866,1.4509740078983462,0.6866806578110106,0.9954731525763141,0.5683739705716195,0.8763936881236786,0.959689974120586,1.6731630816529315,2.5292540882408443,2.66928306867129],[0.52919509574731,0.5800827505775902,0.636075436904668,0.4857315434551164,0.8491047782961404,0.6451600181716427,0.7339717566265679,0.7771966812537247,0.829013238191551,0.8548216244084271,0.8812921398899505,0.8731344980821816,0.8920990229108715,0.8867136228948022,0.903048570604305,0.8963675249308225,0.9547633873812763,0.9129361343785254,0.8658978708694606,0.9369218904907862,1.0167693182033393,0.9455789274637384,1.0853846830124971,1.2050769814144588,1.2100664349606094,1.0113263242736141,0.9160067504966539,0.8201341331551495,0.8383973289553844,0.882099118467151,0.9231912996528406,0.8937229695769895,0.9191021610187196,0.8968414193678048,0.9171525414055834,0.9134549587405458,0.8443367849764818,0.8480252339837235,0.7704013713929896,0.7852861255553644,0.9456964305675193,0.8469366810101666,0.8313256382136777,0.9364827548272256,1.168765611439455,1.6808083193873962,1.8179482410399586,1.3790149892986434,1.9852716944437752,2.5139983100090677,1.3115302523363743,2.204471488389991,1.0313036124852502,0.9098150367026091,0.9972128749370045,1.0292036696628972,1.020213456294283,0.782063535774215,0.87721519910632,1.4614023029596406,0.963679024513364,0.9988531421127894,1.0575977219153259,1.1345613579188225,1.0155316132738232,1.0265787393016135,1.1772724720212495,0.948435802086709,0.9909370739472954,1.0417455821645685,1.158041389692853,1.4495845427382137,1.1395230440319624,1.1287277668817444,1.057241899775778,1.5546920518058178,0.9326517449836556,0.9174000177086082,0.9234492807130683,0.9208175593843888,0.8549940482286871,0.8375303162280884,0.9120157669108235,1.0043250994694117,1.0225240749517794,0.8043613180162966,0.8051194965353197,0.8423846645416324,0.9016961505286607,0.900810114325325,0.9336369362646068,1.1649446694746688,1.0182386519286242,0.9480363137837822,0.9476823972178492,1.0249503370839939,1.0672021456623721,0.9253154873753212,0.8853481062700773,0.8786671881265868,0.8919199366597076,0.8967275853986526,0.845334192606067,0.8587038378875741,1.1754211321396404,0.7473924268965987,0.776361136171615,0.8593976045197158,0.7633070552263516,0.863175598115971,0.7974708441304384,0.7296598947052219,0.7701503730600741,0.8125511369512055,0.864721320900269,0.8140039943582953,0.8297958784587952,0.8113149648293815,0.9231471866712283,0.9534167012433847,1.0363494045727928,0.9911996887780342,0.9109035745093983,0.8904573444638443,0.8065093437905608,0.7440235124304228,0.7480662590631743,0.7636056374798196,0.7337616233800067,0.8205632972087913,0.7193767247824099,0.7429308532519546,0.9048442073675598,0.8392563845741142,0.8560576945147206,0.9502839762138364,0.9220988221735944,0.756881743072332,0.684463903899311,0.8652431540646707,0.6867493961827902,0.8787538455948319,0.77806122079016,0.7645118909023226,0.7666103699052628,0.7756516836430211,0.7844775357749005,0.8601499968591932,0.8179491509039826,0.8472349877149246,0.8499645794855082,0.8368706667704434,0.7900508674562055,1.2649612200444753,1.0278446552333351,0.8324070866994397,0.8222192347136775,0.8429230499727073,0.8300744079030354,0.8120766237473959,0.7459162427066637,0.7852977952374515,0.7785764603068371,0.8336762748813237,0.7831689579068801,0.8177527131252625,1.020666735303899,1.3539720361047498,1.654421202127434,1.5032201352413483,1.5294345753755418,0.9058504390928235,0.8857720373237075,0.7360678028327019,0.7697061406488029,0.7699684259811853,0.8565733073008218,0.8264072386909388,0.8423231528278721,0.7366788406227801,0.7897992801033012,0.7536743826977327,0.8103917114613085,0.8642826993927997,0.8728904376442055,0.869565409380135,0.8943811296668576,1.257695720501253,3.0461780197015877,1.4042511896787084,2.591164386483595,2.762127131758741,2.11687626274125,1.700725440669981,1.3205499471222186,1.3240776048150913,1.0592397047656636,0.8629842737149459,0.8405595891291684,0.6798659512222406,0.7151891841664676,0.7511782359874638,0.7317029811689928,0.7591262636538512,0.8125216351876456,1.0531822680252423,0.9801375872615941,0.954262211468854,1.1594423824267899,1.4048042564678185,1.2787551831451114,1.3454126941206546,1.6420736596306154,1.5648820985418261,1.5193812133854174,1.272968212210931,1.3602622131121294,1.1406952761024562,0.9989999734385446,1.0316755419429067,1.0266518269922404,1.230746305531559,1.1620289292147676,1.3749561693229648,1.047097975144416,0.9317741054646237,0.8675928508320981,1.0458821333386077,1.0705506767191648,0.9536502213281023,0.9950584376780958,1.4005478578118309,1.3682652900546208,1.1292049821244996,1.2661995728422752,1.6715359806583514,1.5329067934081255,1.4012227096239565,0.9891973673186332,0.7935961271506224,0.8393426095434345,0.8311930491003122,1.0764420524469174,0.9121294105929072,1.252186462540919,1.101107275365731,0.8019865826873989,0.8753477915987424,0.941772067069398,1.004839824782319,1.2354540171632278,1.444351614886142,1.3581383947690135,1.2653740599830356,1.4803495931526773,1.7497599100121832,1.4580686683647497,1.3337631080532892,1.136422906576931,1.002036030189946,0.9648080601329667,0.8964748237697273,0.8800454988668892,0.8960975894296568,0.8495664287755591,0.9290614201669116,0.937822701735872,0.9190505158300375,1.1217826689117876,1.373486522768332,1.123160373955011,1.2620767665797155,1.4738712953246789,1.5840639379495551,1.4311292583886148,1.1635043302406165,1.601704969714445,1.6861288381545216,1.344559433720863,1.2375858922840077,1.0539132505238928,1.2360887308875013,1.2749906909990092,1.0069536936270718,1.1832369775626745,1.1218320436615845,0.8729022502724382,0.784092097929739,0.6533542177340339,0.8030296624613215,1.7129438371627461,0.7526895706275603,0.7560109949353164,1.4441441441261647,0.9163030332212867,1.5618078968224107,0.8115589787379004,1.0371972163845569,0.6294633655441716,0.8950982641848023,1.0073678304229137,1.7404030572054445,2.6078746561071195,2.771106034103286],[0.9596038755809168,1.033606040767523,0.8706218802884986,0.9795379007780461,1.3501683190255072,1.3256063993448943,1.4469873226177368,1.5080612435524734,1.591222874981145,1.591611305762392,1.611699884794713,1.6259441292257084,1.5810654323438624,1.5797761321063903,1.5593346659905105,1.536167115009594,1.516809268530344,1.422071711488355,1.281170187059215,1.325343547994297,1.250792603727781,1.2090511052014183,1.2563163799483623,1.3221874982711526,1.3732285905515889,1.258510651638903,1.2840095159727392,1.29380046634531,1.367234298588793,1.4820862804385055,1.4981536033832523,1.5291069288380232,1.5852886075079362,1.520446198247793,1.5180160282323563,1.4695244536691259,1.4489857164406155,1.394705150818059,1.2635417359051269,1.202739902527811,1.344731702036903,1.219230833576114,1.20310910549013,1.2009714761330126,1.254186456157935,1.5613400936592177,1.6493820477520926,1.3980011618275134,1.9488028754117606,2.30070652083443,1.4125658714992546,2.1790108996314728,1.267913744404995,1.2611598676633562,1.3643725294121738,1.3159635758192099,1.295784050767846,1.2464234435512729,1.2750447802869265,1.659980911545452,1.2370180658368872,1.275262613457005,1.367952767675205,1.3776522615119138,1.2601316653572618,1.2999146568060092,1.409472095920362,1.3456271264679276,1.3455018098977425,1.4791350504926375,1.4409101332837875,1.6345748072338468,1.4880834457078227,1.3936866575051572,1.457120400730724,1.863127168498492,1.3687863103710745,1.4172991769705394,1.4255831130792926,1.3514113264714567,1.400473342516594,1.3301422372652538,1.4117327262932837,1.4098576410692667,1.4067254955772812,1.3436446177849302,1.3201781754591995,1.4455831960249932,1.4083387621910137,1.4388325746985295,1.4803632842426573,1.6811957128827912,1.5578830882364874,1.5310777094936476,1.548210348301571,1.5890333178543898,1.6221626122522126,1.5916663918981588,1.6025986248657298,1.6177634158415186,1.5706480256634912,1.586339249303448,1.466576067026522,1.508076566364275,1.6361771386444643,1.3044541865945134,1.2904885652745561,1.2481595916946522,1.2241971942814298,1.395493099957769,1.3823800146099765,1.3090457323465206,1.4324691492749848,1.401905652692182,1.4995192975753313,1.3727453423905052,1.351724502949456,1.190898880163227,1.2661925118595356,1.3983400114537365,1.472759345967612,1.543092175054892,1.4193656654980351,1.49899162120415,1.5051938568149463,1.3099734609800076,1.2638865323855177,1.2607851696218662,1.17876056987078,1.2523299887713264,1.0287507798426576,1.033362792390445,1.134406188425268,1.1910588912367417,1.1670672648652678,1.2961832600033818,1.2123066003906506,1.0218535647836007,1.0137006592263238,1.1607245388480618,0.9450791805210819,1.0894795561706128,1.1263778864659606,1.1726344541915974,1.1937152062218064,1.3136787528846432,1.330861480098673,1.4580958548162237,1.458066584560349,1.54329090941008,1.5498910608275387,1.5892742751595186,1.5163484827925056,1.9072172962393532,1.7121204792926326,1.5938730643403718,1.5625003930027104,1.56222719480661,1.4994643398785106,1.4255294319474343,1.2882406793924892,1.333093593750939,1.2140813505249977,1.2349447534865676,1.1588403328758563,1.039639186616944,1.1241668542116687,1.2898708067816014,1.5609030483330308,1.5301312402854632,1.638620947344065,1.1277368051626515,1.208163950462199,1.1641167354113593,1.2925092299038774,1.3553075078871148,1.4697203237652803,1.4046751195430005,1.3831050633476347,1.264837294760747,1.2116605804011737,1.2398418689138755,1.1743872124391457,1.1468399985175506,1.1536416493493156,1.1645625582720667,1.1849271230241691,1.4318964975374535,3.1120633001615,1.533295298073991,2.7488425273045918,2.956400036543291,2.2357947280674093,1.8242591802576607,1.3972061282907313,1.2931795474076664,1.1521142635304786,0.9409815891527785,0.908786671462105,0.9694983979541387,0.9575378831137524,1.2166574796027683,1.175041385557793,1.0409272445094997,1.1954863252841847,1.5392717528435877,1.307747874706861,1.2768870916388495,1.657855868545642,1.8447541586407141,1.6219092053437172,1.7375039110415194,2.1148696165107568,1.9346411665565955,1.7734718756979162,1.454330280968161,1.645106786748627,1.1745817690525597,1.1407039665365897,1.2373359671366522,1.0340917378260837,1.1966805792588733,1.108362408589496,1.7415349325684448,1.2447634938744774,1.1358453432001914,1.1474217625715148,1.0298406421196755,0.991930093968121,0.9765681688009148,0.9957061379870735,1.176171175145271,1.1581593521360558,1.0037936117672888,1.181274950712101,1.4163401929450425,1.2950585760190985,1.2811855893982114,0.9489820329272646,0.981510098917914,1.0097964723644197,1.1705053776820795,1.5612112220360843,1.4609590751089958,1.8038393271797672,1.634437972002094,1.257775652426491,1.4625239784904311,1.5426171408130316,1.59309656007341,1.8844001826097088,2.118007369511734,1.961692995390393,1.8548020756739438,2.11217383152784,2.3368205193779965,1.9824386670934477,1.8676334036122177,1.6012392813604865,1.4921534763395472,1.4584811719899833,1.260069519731172,1.1984324829308795,1.2299430530171076,1.0804758180662521,1.0088434357409255,1.034572127448138,0.9628221803990358,1.008177999103724,1.1831851308057417,1.0289766568613108,1.117148935833543,1.2387258607795608,1.41413362616359,1.3014762365987267,1.118530579538249,1.485716929121189,1.6135541083455076,1.297752120799173,1.2299031216659415,1.1606235093430162,1.4521903083799284,1.3177216210440204,1.0560494945906496,1.1510287979691662,1.1344741357748862,0.9158268120360542,1.0050142916202165,0.9548177415539706,1.221066661550879,2.1436265687486444,1.0954038298250597,1.1786561406870724,1.7824802351579472,1.3471243486917142,2.056349615010019,1.2773926326645229,1.3076338848228437,1.1761379160899676,1.1600129883041634,1.4532551194151784,2.0177209976257817,2.907141692278058,3.0098911536206514],[0.8003466049649907,0.9036115145346415,0.7323319579943873,0.7658007162282183,1.1277060068286813,0.8799514129445102,0.8517493551992025,0.8318952130581938,0.793068408115534,0.649417161361492,0.6168716039287739,0.6677144375543768,0.5901884606063,0.5082446955342089,0.5111771699925098,0.5029427720705163,0.5072349438167987,0.4359366222472216,0.4644087760842562,0.45297883746530904,0.5617464688457265,0.5509595127696415,0.805077768418603,0.8937235803905264,0.887084351943302,0.6132907199769273,0.5416237640513014,0.4017666894400625,0.4176371495933683,0.48701630144798147,0.48558584868271254,0.528690404547278,0.5380733070632848,0.473977804342206,0.49368470966371586,0.4609512745588868,0.48414933002199545,0.511277509773233,0.45751310446991833,0.5645877567586282,0.7279692159959386,0.5376788161243202,0.5366273961594247,0.7213379344010278,0.9668429364273138,1.4214693166876353,1.504687545587795,1.0586485999097475,1.8143667311815046,2.2929542433473276,1.1172899007584847,1.855522316228645,0.8090100620810439,0.7817866191208771,0.9411486043785428,0.7040029976454001,0.7092864068452767,0.562536861161074,0.5905379856532506,1.1903227368303213,0.6822386866981605,0.6311339848829797,0.6567973779982207,0.7027063666675014,0.6355660423095866,0.6252359461056971,0.6680069083132484,0.43908354654099346,0.6113415867073076,0.593217964684577,0.8278287774619147,1.1029705983775646,0.7132792889294306,0.8138484753401153,0.5988948598880309,1.0307518347520717,0.4706532389970196,0.43540263007644286,0.44923222016443615,0.5037288808159902,0.5044591125949996,0.5540024107135891,0.708220637713976,0.7664614305516728,0.7739690968922666,0.47911432511832835,0.4713966074465775,0.49345404343484117,0.4465013349677306,0.48066944069438444,0.4485306730705968,0.698995945481982,0.5945913957298609,0.5303699393264475,0.5484784727132297,0.6528793286780911,0.7485026911552949,0.5991559928498575,0.6197648208551452,0.7283330315999803,0.6500677219618223,0.7814151485165274,0.6284793623294884,0.7712239648236274,1.0546402220278397,0.7294141975746863,0.799639566589056,0.8953758420233751,0.8836869355866024,0.9495889472242678,0.9208293950290074,0.7286736599453565,0.7560081131944619,0.6777848928916846,0.5617364083633768,0.4347433524123736,0.38972111647962676,0.4483447734015905,0.6410771255826563,0.43006523716729256,0.48497405868410637,0.499825568518118,0.4631387512095462,0.5734652846224033,0.7144512920668327,0.6948022016240706,0.8514317021718069,0.8054645046309913,0.7970980455235225,0.8299734585900462,0.759357877089584,0.7649309176762104,0.8461621743746198,0.7752045580761553,0.7968140931927342,0.8694343424115543,0.9933475711741029,0.6797701074292918,0.556159061386457,0.586635271976871,0.6456570399988121,0.8385389487926799,0.5867537030411215,0.49342987904749724,0.4928361055420181,0.4270155650666039,0.4394240695079445,0.5698722713229342,0.6379664426771281,0.7363031145078166,0.8439757231386713,0.8157820051344177,0.7939838384960081,1.233321399607853,0.9521978438561646,0.7308506926335191,0.6666121099610816,0.7526533296314987,0.6185317661238934,0.6997732046603427,0.556747148814926,0.4823141906325352,0.47766924402662375,0.5093689176846342,0.5826165406948164,0.6542992338528869,0.8861494389366154,1.2520266389202828,1.559929447648121,1.4523581487450063,1.4695624775621703,0.7791151924086434,0.7128443813996581,0.5582802899686885,0.5500544407829542,0.5788757106349409,0.6036474254809365,0.6356071213595672,0.6110421634316074,0.5573463426210862,0.6187863879242013,0.6289387049002424,0.6970783819179106,0.7460169923960771,0.7604793334442517,0.6892954479199457,0.6615615439424796,1.0336054446936553,2.655843346470399,1.1505418439997317,2.3058418001749814,2.525070577409971,1.9244469993735323,1.5646488473943716,1.174949408060032,1.1531736698690591,1.0265930269278167,0.8057497454502357,0.8101391908468766,0.7737829975281874,0.8335933581518491,0.9881854147793888,0.9669971966196107,0.9611622151372511,1.0788328615817673,1.3674519374720149,1.2469911083949368,1.2234935334748942,1.49960699283973,1.710439154789469,1.5628149883050761,1.6381204473684283,1.9301751279600297,1.8443673924287867,1.7054610369069705,1.4561918092969586,1.5928736964941959,1.187571614495463,1.1414022767009333,1.2150319284567395,1.0224785031586707,1.163514377252014,1.122973816731164,1.7069570664092695,1.2045945705975714,1.059764577852338,1.0382684118997376,0.9988373249044576,0.9587609914149281,0.9492142210510448,0.9283129696562927,1.1345110875001636,1.125036066524959,0.9648477331040014,1.0945134392024383,1.3622528466017687,1.2589369288516234,1.1999937036130373,0.8981742304317553,0.8176174918882085,0.8667987836174269,1.0098631792828396,1.2956230120604133,1.1689333991752673,1.4610306008894738,1.3159270747040015,1.0021197533881263,1.0967770824552514,1.1679056599319584,1.3259371828654678,1.5607928902957446,1.7466437959001553,1.6869856390301003,1.610433285794722,1.8020264229392586,2.0356761055783843,1.7837810262200147,1.6715934956215002,1.465876469855781,1.3420759390075312,1.2928700267688067,1.1538746529758208,1.1219867505635697,1.1544178313288422,1.0162907695979577,0.9973526404570628,1.0295385446878211,0.9518442236578595,0.9937086445390064,1.105391058295997,1.0022250827052912,1.0928440921760731,1.1840109773272816,1.3441957684862322,1.2546933063434929,1.1123375638131605,1.48280139889381,1.570767176111906,1.2731919563612093,1.2707128354677097,1.1870197245981642,1.4799486109942308,1.41848083256856,1.1226470882252195,1.1413017503615364,1.0521033871691836,0.8961806694388951,0.9601764776861318,0.8037595411375835,1.000726916313425,1.9825021239455898,0.8579541772102502,0.947729600116485,1.547584828759558,1.1754927039007212,1.8995679041165572,1.0773908301919406,1.119118074981117,0.9353989620638872,1.0362587315707918,1.22443568812,1.8294992067311724,2.6978193929233583,2.8791147081650514],[0.7756398841879468,0.8839973114406151,0.7923403099940187,0.7542705774764609,1.175208951411404,0.9387970791643834,0.9735915016161376,0.9779749395557824,0.9711049723495493,0.9147372187314253,0.8978567180864064,0.9093463947752818,0.893983590780445,0.8413798190192536,0.8210103013919713,0.8181108427459427,0.8396102280063913,0.7416619934222202,0.66548306821207,0.6919308851069409,0.7506082298630796,0.6708128629828775,0.9125687433710948,0.984688687350834,1.0058035759126054,0.7527693518148083,0.6811655460724659,0.6282061213445502,0.6948103721014537,0.7817226536478972,0.7808884752763685,0.8149460511170241,0.823431738397148,0.7602974382640156,0.765437383309634,0.7316333990883964,0.7278301532752026,0.6950748274749378,0.6054145690485405,0.6585221821115776,0.7753957986055042,0.6408346218654961,0.6260203581983289,0.7741704643878715,0.9945093883593575,1.4887939954832123,1.6292868639474358,1.1583699922459754,1.8175619999851425,2.363234930350754,1.169728542913879,2.0122362482014546,0.8750141753175819,0.7836939407573024,0.916119291062368,0.8409363451326635,0.8179652977991565,0.6156467795919977,0.6760510351622414,1.3360032618189068,0.7729922630015873,0.761240220095907,0.8144589074319185,0.9149313818507253,0.7738684470305659,0.768484555882166,0.8987112083262677,0.7258365260059759,0.8204469743767328,0.8666295630134857,1.0658235268900413,1.3848504614200539,0.9804764436558717,0.9986028132692887,0.8611932337692301,1.238604042314399,0.712529376683003,0.7012085002550882,0.6974057245036275,0.683311916698658,0.6785472272403467,0.6995397980314975,0.8372885441546855,0.980262513970297,0.9692015467979341,0.6884955990046019,0.6273750160434672,0.7083715283625798,0.6861926721648931,0.7213716977718007,0.7303723660170102,0.9420720766537757,0.8234104157020055,0.8172835921249229,0.838609335337199,0.9292811992750383,1.0119846371224752,0.8666648762266779,0.880282393274739,0.9190577919062641,0.9006557511264981,0.980003633782091,0.8677843210158811,0.9685572459002568,1.3042622036291123,0.8986541266417428,0.9867159058123997,1.0634262966334507,1.0172832767315854,1.0707941564485333,1.06432290133139,0.921922997671934,0.9507761685283056,0.934195736759315,0.8851796704714088,0.7963908147313182,0.7008966448161147,0.6310277026015122,0.757426572496177,0.7502835309525445,0.8816685772685466,0.89959954581081,0.8672625429318794,0.9416245019925004,0.945748170577894,0.9181326595915618,1.005232804495213,0.999932453252848,0.9819459400939655,1.0094164759812365,0.9488871658500341,0.9675548580246641,1.0628644832225667,0.9906163109306004,1.0038915295942472,1.060678218790579,0.9939772792593523,0.8509427428670797,0.7582322897770344,0.8543170396379576,0.5413127623159631,0.7975704989212564,0.5866276493187708,0.6159410210284817,0.614588057324007,0.6414835122233653,0.7083181010802488,0.8502298977504598,0.8925292277192758,0.9496028546906126,1.0148613512392273,0.9701707888305128,0.9066255847389708,1.2441775538504578,1.053085294503186,0.9127892414857915,0.8849791676998192,0.9579369996375227,0.8714176577872941,0.9100178552875896,0.7962828438470899,0.7274034305342879,0.7055466293610961,0.7374193786309174,0.7327805667766875,0.7600910545023124,0.9492903310315244,1.2474633367773176,1.505933473852696,1.4320508090431927,1.4774965418475665,0.9103868730205932,0.862736298952116,0.7437453117131163,0.7559049494794309,0.7850134088980089,0.8186791059425372,0.8058584177612809,0.8098639287073588,0.7424849166317522,0.7945097589049303,0.8355937258288376,0.8812926220180649,0.9096709616686054,0.8955074832617822,0.8296038118799282,0.7999918367931874,1.156673741002713,2.923813106351688,1.3479771042938373,2.5832756405758746,2.8294878644933026,2.1619921611833113,1.7503574133336646,1.407131971489884,1.3942643552216782,1.165044186048795,1.0021382289881788,0.989622868982067,0.9186006511583291,0.9616925800607615,1.0573068101951777,1.0593363740010497,1.059726932419085,1.1207746094507316,1.374055003749969,1.3086364387110803,1.2558033354034184,1.4576733646188273,1.6862630788552189,1.5593263427747202,1.6009641871498654,1.8648085588341399,1.826658727872739,1.7074580676952182,1.4943904700738495,1.575178039620183,1.278995421186419,1.1979903726268315,1.2463516086082953,1.1086409003637716,1.2494965607095465,1.2262023785389309,1.6180657583671847,1.2451112184397461,1.1117873100775804,1.0801355354958984,1.1691618099070402,1.1135149939111775,1.0931776204459327,1.0985902478948224,1.3820190963951386,1.3130273951473315,1.1529147401421949,1.2821162586751111,1.5675551969338606,1.4597961395589558,1.3504818167341062,1.070560891824251,0.9874372507916497,1.0212103809637842,1.0793287992406135,1.319314159048509,1.1617622490590551,1.4580854707448685,1.2829429989368237,1.0109755749790548,1.097503112580352,1.1888402240662779,1.3052170942651486,1.4912835354973577,1.6695109611642152,1.6186540004361953,1.5339045997586072,1.6989448960219236,1.943584218109932,1.7012882280037926,1.5770756202923977,1.4070818373134624,1.2890831699065097,1.2532895084636406,1.1649396093690707,1.1195790874986549,1.1666462278173266,1.0793531077416931,1.079872314077697,1.1067721136325028,1.054981801422507,1.141659541076118,1.225693892586697,1.1042918774137842,1.228954528199364,1.3557022344463423,1.4825685728252895,1.375067134463946,1.2218037115965872,1.6654280023521908,1.7201471707691243,1.4025564015850085,1.4104326746154865,1.2820268917665802,1.5492849808877032,1.5699205756310135,1.2899238179259493,1.2820908047904653,1.1003770812149973,1.003267110551093,1.150394886536207,0.9474891086628843,1.1009441060540452,2.049430612687142,0.9923024346422467,1.0540886117052062,1.56362048557577,1.391531455115081,1.9956798655656776,1.237023221416682,1.2316961043361614,0.9821023530244283,1.1104269731353034,1.2699675044537702,1.8346502095925352,2.7064137892069957,2.931797303898502],[0.9020232472888079,0.9713849171136872,0.759959609417564,0.814477672637446,1.1831164547010742,1.091741967077919,1.146714754555883,1.1607293334286573,1.2074823614992587,1.177627496152545,1.1832626657783782,1.1690429409783893,1.1323388992920997,1.1283341551575892,1.069800418301061,1.0374690714846428,1.0206006143559394,0.8882913219394006,0.7380653786900219,0.747859085639182,0.7954495545736939,0.7394167214681612,0.8726389501737181,0.9586770582415565,0.9047219367924073,0.7449416204315377,0.7292880498759958,0.7261852227132914,0.8295139216329637,0.9474525530691446,0.9793697379117122,1.0081916096626253,1.028578403692346,0.93324646075248,0.9286518167364443,0.8822970260670119,0.8602300121577577,0.7739831293652517,0.6844499851325856,0.6980012098433824,0.8601124305605689,0.7040247801754019,0.7089290123966967,0.8362526321954634,1.0424782673053568,1.4892840677360932,1.5963928921107233,1.1313483703016494,1.8020799143046606,2.1442024978226994,1.1597605826692698,1.9656247042817283,0.9125322288330839,0.8468297419618211,0.9711175327864103,0.8812173162756483,0.8431024074285719,0.7284213853137591,0.763973722369248,1.309750607974696,0.8221433380776976,0.80221457907814,0.8907561366840753,0.9668010062869449,0.8135200565232046,0.8294348359005251,0.9444119695706421,0.8320664531617001,0.9161818030225567,1.0206772604993997,1.172773594035209,1.4847648784687886,1.1138804774163689,1.0945767139786167,0.9878840178010033,1.3523517596661534,0.8208908902245485,0.8387549595000032,0.8089376467643149,0.7724529109888083,0.7801299994694628,0.7619925023373301,0.9244804769133489,0.9808656828077013,1.0004526364961135,0.7759925749415852,0.7159390209201015,0.817605434787462,0.8004226999628825,0.8492533297714722,0.898711873168318,1.0951894399173092,1.0267221815916656,1.0227666241912328,1.0635894517624287,1.1595758187076959,1.2318718674028213,1.0911812759421775,1.11543958877675,1.1365647850270604,1.0830481684619053,1.1382877706814736,1.014491203111249,1.082289004044778,1.3392549980125996,0.9908811974638099,1.0380102574862045,1.0478413659101715,1.027804648611993,1.1422257020900166,1.1102582081908898,1.0150240646300297,1.0963231298950922,1.059949474370987,1.077560133244337,0.9694723008604229,0.881263560201055,0.7105608345610165,0.803642908730351,0.8962485845299688,1.062025618096337,1.1459142650725065,1.087951804807073,1.1537010353460833,1.1529404284236557,1.0095316132099597,1.0078432581464623,1.03075344748233,0.9798845831885382,1.0582525790573958,0.9281731043213193,0.947809788601745,1.04681967132277,1.0224464480546926,1.0287733941668193,1.0994286867608758,0.9396568723243715,0.8644828058443862,0.8340215976101024,0.9776033736048317,0.661054237934483,0.8749735945444499,0.6503912249146524,0.7104568144126379,0.6978524222349378,0.7532424935462908,0.8420045389928303,0.9950663765747656,1.0366914946884571,1.1291712942678411,1.1742559048056083,1.1737689148349602,1.1017525093499696,1.4298725071407028,1.2462845755642489,1.119909392083515,1.0984886002907006,1.1365150509969213,1.0405753674665488,1.0260786856790554,0.9021085431619182,0.8293696621498028,0.801063796544268,0.7799203548442534,0.8504960446430491,0.8468466148009619,0.9014373900345636,1.1419851766406452,1.278521917232281,1.3095036180494857,1.3581624383021522,0.9456195073121965,0.8945015314569764,0.8188137957810129,0.8592629613433284,0.8747519875229982,0.9406346172240508,0.9296049694599302,0.9117690435508133,0.8103849920337467,0.8960321166492967,0.879966509370051,0.8709311164071044,0.8921458535809816,0.8829899905737139,0.853638954060258,0.8357540567447056,1.1027401051492953,2.977228370721771,1.4323097025723703,2.6155051409014867,2.965111927402973,2.152575994620334,1.7045224367871954,1.3489978467636514,1.2986517273700786,1.1119795523738187,0.9462539505379005,0.9177621085921336,0.8933290590081433,0.9075660607978222,1.0694647133571282,1.0602258144220036,1.0056731476994158,1.1031990448142484,1.39688733610593,1.2634837963778927,1.217414164042491,1.4834899728001218,1.6831025787498608,1.533677715452078,1.599270262856089,1.8957891548997654,1.8187951652474441,1.6641338441823994,1.430659144544294,1.551820415625627,1.1811163641388467,1.1181063369000819,1.1801440561798175,0.9990139624564127,1.1391043596914658,1.10183388498129,1.6586474109262348,1.201545256291064,1.0568159266011867,1.053011461588592,1.0614448671375831,0.991477932786422,0.9807910578769127,1.0093839874849746,1.2699593182857924,1.1912172568113586,1.046356061355101,1.2067303846432968,1.4218122927111312,1.334503309851642,1.2455885783040404,0.9751013476864517,0.943388952501869,0.9718127392884167,1.0778901535328078,1.3729206195084906,1.2711419225540508,1.5546681259476114,1.323618972504248,1.0851996432130877,1.2195040055425699,1.2820430246400563,1.3754196439136164,1.594114980153936,1.7877301177229745,1.6965820260718927,1.6049634431618376,1.7951563547654725,2.0080244765147888,1.750942182673133,1.6309837104318674,1.4232723484434284,1.3155083012838362,1.286418099501031,1.1598327553465608,1.0899057870126694,1.1319080059615205,1.0246743288417555,0.9929670243387908,1.014378258787709,0.9635557104878838,1.0189952057591918,1.094843120597944,0.9978485063749577,1.1217378713354604,1.2428597385889653,1.3817300910284689,1.289127528809423,1.1408417364397099,1.584267793746407,1.649353997612703,1.3053268205319473,1.3021262739380197,1.1879872312913209,1.47178368468694,1.4411030883726421,1.173869988794132,1.1898666998823884,1.0415815188512174,0.9232421796132863,1.0560632360439726,0.9100420215072996,1.0982502591554235,2.034642121192233,0.9836004233126182,1.0651883931269195,1.682348163599924,1.4356247266600604,2.0105636423619924,1.2657668260439932,1.269727737811578,1.0890263610790318,1.144583205287166,1.3826421381244407,2.014695502477067,2.932376720099422,3.2043403081187862],[0.9256470239800376,0.9598327237585691,0.6989882364755727,0.8010467206173922,1.0195713111883453,0.9474324947503757,0.9276225474404555,0.903940645242377,0.930867013406194,0.817408675712823,0.789833981436454,0.8162842462641934,0.7467042862257541,0.6832383667910281,0.6538979489915432,0.6544349395283772,0.6460135898570455,0.6030792040029974,0.6556057933466966,0.6017875391819736,0.6511493544876001,0.6879207738417349,0.9049669897012033,0.8813868580206394,0.9710801717129407,0.7394084313641957,0.6892687211980946,0.5727237700374995,0.5840863469176463,0.612122028909505,0.6377125052440002,0.6511743474886305,0.6630771574582374,0.5995223316477394,0.603284926010817,0.6075618634810281,0.5918787843539844,0.6763888149350442,0.6263327409356781,0.7041511340471541,0.8642512884012002,0.7402914973354657,0.7449936723477975,0.9584765664493137,0.992106933052504,1.3606628150448787,1.429027960263826,0.9858454513669307,1.887817994503044,2.223861406093308,1.2324391059510196,1.8531563755963363,0.8962716501038456,0.8978056933615721,0.998741815697016,0.8266595102099901,0.8012269377455424,0.7437236298663863,0.7673454276968721,1.3327531972934459,0.8513707431347954,0.757285856034973,0.7135749352504066,0.7930594488186548,0.7946188699412837,0.6805228903915124,0.7424805058998856,0.5944008758965555,0.7343896563425457,0.6909230046001245,0.921464645793883,1.164910058709901,0.7845402704861111,0.8889372825100857,0.6949377350996224,1.0799384516884065,0.6407246617596334,0.5991709391269654,0.6140557953702709,0.6450848687209554,0.6426259752273743,0.6531182021445715,0.8360492034738183,0.8216734127499964,0.8617775052587466,0.5972156719643269,0.5843405523154884,0.6182191740663483,0.6131255138953959,0.6251023867709802,0.5912498386977628,0.8036458112869442,0.6865662527426163,0.6555142495498761,0.6874908559861912,0.7783490427570621,0.8829828371116271,0.7323910697294357,0.746000626944857,0.8035748940753767,0.7273671577049877,0.8207990456267634,0.7011938830388302,0.7781206878010698,1.0525380485976052,0.738084390883136,0.7787191805333329,0.8124086517115112,0.794532205282092,0.8954687529813764,0.8487110607078169,0.7020811433550462,0.7918800696804044,0.7122263853785703,0.6991599120110692,0.5951111217136441,0.5749837230821269,0.6766795859679752,0.7654751612157715,0.6236162667898317,0.6519647629393748,0.7036579693118176,0.6869816186024412,0.750199293160855,0.8612524962864523,0.6946199171301587,0.7378190192856674,0.7310052131198674,0.6982705252409274,0.8044170469169024,0.6916393725294333,0.6994223813704171,0.7906603926688267,0.7843021795305738,0.7849282613203554,0.8669609889175441,0.8154740514782667,0.7224640294237761,0.7146336913453695,0.7493763926392945,0.9411178494805728,1.0425360447888343,0.8038239635963371,0.683992112684004,0.6617987109444844,0.5872234714954646,0.572063397678089,0.6515755894614181,0.7031780595459339,0.796897240059635,0.8758779507579982,0.8845511577919926,0.8262554999997999,1.2304645479010008,1.0061458012744549,0.7977205274072547,0.7570975404821751,0.8071675923508437,0.7066177344384672,0.7184823268896623,0.6214290349048168,0.5721804703206134,0.6236769607521463,0.6284972239940277,0.7030565264581256,0.7804849128630391,0.8019966817449263,1.0937205544944795,1.2399443553971714,1.257422981506137,1.268099348646049,0.8024473585389927,0.7462762430212756,0.6400418117053908,0.6256737678712168,0.6142935785598975,0.6729641937915779,0.6845050102607337,0.6852250328052535,0.5768661329688346,0.7204881607216592,0.6408654244605311,0.6812335328267688,0.7399563608413309,0.7587790448738333,0.7489266959892229,0.7653715775248044,1.1097151326218855,2.6795161296548597,1.2646639903492884,2.3125696039085373,2.6060749430109804,1.869981507545108,1.4780959764595643,1.0591377811471727,0.972248288961639,0.912500820971659,0.7338147658083959,0.733938153625351,0.725643641062983,0.7238227583269158,0.8943848994968316,0.8668228130693858,0.8190804706027828,0.9415704925624283,1.229492262846146,1.062997370423793,1.0465222453499088,1.3401351184546517,1.5055381923401374,1.360117678145463,1.4390413753005291,1.725919962652507,1.6458578882234751,1.4690744947385084,1.252232163282852,1.4010928697760634,1.004063149470887,0.9513966804893675,1.019301450174947,0.8381297683420101,1.0345678813410497,0.9519387016726905,1.5977514231311643,1.0779493241017601,0.9300218073384893,0.9272108244348468,0.8647217838195707,0.8055414386757327,0.8022816437983122,0.8186031429613255,1.053722161188697,1.0055052613697293,0.8541785096262059,1.0785556978602722,1.1733325816848919,1.121992399067503,1.108387053738382,0.8050843471314565,0.7328667643418365,0.7794117529670075,0.9319667076377254,1.253943617962369,1.1752450079940395,1.4467932258297618,1.2182410395066414,1.009376042490851,1.1397632067270633,1.1575492760684651,1.241513052170597,1.4754262518958527,1.6634881453425623,1.5600970270049712,1.4792704856521857,1.6724436481295528,1.8688179176293749,1.6145824963703228,1.51123315094905,1.2999993109490109,1.195062378564574,1.1630914528776461,1.030723647862583,0.9680462176133194,0.9868977424042902,0.8677597683635162,0.8399334713534322,0.8622141666037129,0.803252118962849,0.8479504461641186,0.9562992895155489,0.8696938742568695,0.9719938369484273,1.0699644141524627,1.2100631702842957,1.1414708109853675,1.004068231802355,1.4086155145846035,1.5290171630985105,1.1382049793525881,1.1142890850968161,1.0096538866838998,1.2796255445220224,1.2338405785216824,0.9885850632163335,1.0542173615467751,1.0262683725597646,0.7869722440298509,0.794479140149726,0.7172448280990339,0.8862415349280178,1.7937568737614573,0.8202306206058706,0.9097903533247105,1.592166456410661,1.2217643894277614,1.8143461516136745,1.1062586193739086,1.1330292101151174,1.003901506417256,1.061525311276911,1.356312477805669,2.111617043625233,3.0098121179797794,3.226189545530331],[0.967467823270861,1.0373396369344758,0.8862294050788392,0.9370086887678676,1.2268053905540075,1.0773644917764778,1.120744187528825,1.1209424333575932,1.1191370462581856,1.0565740295632562,1.0288587781774565,1.0380945339552268,0.9976675862094785,0.9400588385788675,0.8977888002589938,0.9042938864069013,0.8832024936038566,0.7827068956761188,0.7235971492354951,0.7198222034606158,0.7677664751475829,0.6644885006859245,1.0317879296306498,1.0586520989945203,1.1307838768986598,0.8234743112569148,0.6770831586883826,0.677368081289676,0.7352735019975447,0.8345594321178765,0.8335967480128985,0.8841616691238096,0.8877242598886987,0.8044978490678101,0.8104818302600896,0.7611797232919875,0.7763412296187802,0.728703851463078,0.6045565363892512,0.670636881253001,0.7682843586026497,0.622659298287824,0.6069126871919432,0.7492800415377645,0.9664908174247777,1.433910340554061,1.5338147634482266,1.1015757509645832,1.8578992753539325,2.389736358429216,1.150284401663559,1.8806115846581273,0.8334111500966166,0.7968020676320506,0.9677032255946709,0.7953154014737618,0.8053337247895244,0.6244515363850571,0.6774155991406224,1.3138712802715358,0.7864347753415797,0.7928768495489774,0.8387332969388721,0.8653741592329657,0.7563903300974668,0.7937876718817564,0.8865966594073559,0.7382307434011429,0.7958851807985344,0.8825553259090234,1.0235848150996487,1.30360538452801,0.9305965245717158,0.8821551207325065,0.8725498400519768,1.172047605891863,0.7056309670230105,0.7119881899858852,0.7207365216240906,0.7184130345487035,0.6847137526880802,0.7036289983221317,0.787829388191781,0.881644377743527,0.8654571689748786,0.6657793672248504,0.6382161193744771,0.7360846417557709,0.710618956015704,0.75145482747822,0.7275335038904791,0.9344411469919822,0.8412390555490877,0.8629180521468235,0.8996247369550022,0.9598050756247689,1.102633230092298,0.9579297013052841,1.003830898741651,1.0405698342428733,0.9895207706782582,1.071281578702348,0.9169086870275255,1.0181550079160606,1.3492141841355856,0.9705821963216642,1.0379152081515068,1.0586634352401,1.0847126061451617,1.183624588891425,1.1914064734608067,1.0516690683587238,1.0993193611414966,1.0643933359718276,1.0053089096969754,0.9043343175834374,0.7592613797870614,0.6919402648795763,0.7604582770857604,0.773262036881661,0.879023056669974,0.936857541256647,0.9213424869376629,1.0488294084825762,1.0725898555427402,1.0663718869208312,1.1753590555677074,1.1145616084226146,1.0672679154891018,1.0488061820226744,0.9785539645811762,0.9699967170922472,1.027766199162799,0.9775182586070547,0.9873500763872203,1.047924338944631,0.9729577429518155,0.9121097988299898,0.8291511527079939,0.7444543387836752,0.6059161245301163,0.8858184992027264,0.6603933057596286,0.6030158108660271,0.6040425756368943,0.6673446433220062,0.7309499258419091,0.9104116046419127,0.9763433118885838,1.0731191583854385,1.1424122127682619,1.1202504022814515,1.0541169049468746,1.285232844425415,1.1694575233680589,1.041822876649271,1.006061003127404,1.0665072832238365,0.9586527971983523,0.984252772985868,0.8238005359598671,0.7201663353774748,0.6264650431777193,0.6373706174902863,0.6788644817872669,0.7094734787714388,0.8878409975523169,1.1901556218238702,1.3610149048159197,1.3450807146606771,1.3800357623637312,0.8541218776176832,0.7933154221571805,0.7156640271449294,0.7420144795472989,0.804073045516746,0.84469562976282,0.8203234638064903,0.7807798632870024,0.7314946365939101,0.7618271691846669,0.838014216516914,0.8440890564389418,0.8682838590927305,0.8616626429780833,0.7720096682438958,0.7347468544325372,1.1067687118278962,2.652958222959453,1.1909650759432333,2.429531177576127,2.698182811833914,2.0367927017668004,1.6575118432066291,1.296840056668445,1.2557058531265666,1.118388316359806,1.003579583806306,1.0052454221427032,1.0049523013451653,1.0180355726616104,1.153868991382774,1.1569501086268321,1.1208444288419552,1.1905247918826554,1.4482567039911105,1.3606586635141855,1.2959434963405445,1.4855881680137162,1.6770272152509815,1.5493768404050716,1.5810930513935673,1.829119619257581,1.8034424177199668,1.6283658406515351,1.457059093734147,1.5292595118082029,1.2250311542423422,1.1795205127274313,1.2222278869377539,1.0652703215053627,1.2138055669037162,1.1537401893277062,1.6857938762425175,1.3088398325073431,1.1252957458154678,1.097442904099685,1.1002026470548167,1.0659409212737496,1.033796325108224,1.0808074656355329,1.3292620988780024,1.2173127618739756,1.1000502875381701,1.2519004701762613,1.363386139773563,1.3323601542418102,1.2584275917668455,1.0511432179034732,1.0352050689453054,1.0434811122033454,1.1320230732411016,1.4012520675048867,1.2772982410031448,1.5570403763828813,1.346356745343139,1.1273205610521229,1.2470488844418002,1.3252592065492554,1.3921724662250816,1.5543799755959615,1.7186715373012231,1.6475193691531722,1.5633145302485254,1.6924737756340795,1.8883414587742196,1.6890911226658727,1.5738917818711282,1.4166043832063977,1.3239226409133094,1.3077751412354313,1.2366204299076176,1.157062100249751,1.2015912370705562,1.1235636799310553,1.0955979539145928,1.112436950648179,1.065562391729156,1.0945428668848491,1.132555753466322,1.0610945793692304,1.1527772526602509,1.2460263906915359,1.3233362947364844,1.2679304936722442,1.2117842747943746,1.6858226810912929,1.74660481905055,1.3310074313995306,1.3563687880899835,1.2749024086248384,1.558558485137893,1.551286994102059,1.3237125828778282,1.2597281708030506,1.103676682210033,1.0236101700114917,1.1993564482353,1.0333585661252567,1.183594243323329,2.091556269189423,1.1665760462536856,1.218442839933849,1.7359874134613023,1.69199272710419,2.1205148603832638,1.488431729185188,1.4539379185933041,1.1504190760393822,1.1733909074995699,1.2851611378351484,1.911568332150834,2.7492972106455995,3.117461696375453],[1.0972030589184922,1.2136952113889397,1.047063248227831,1.0746590002381138,1.4463637168299996,1.1583106110064605,1.1305487876987688,1.0930072491726164,1.0567729085652446,1.0016731744085163,1.0055339323166381,0.9983723025645954,0.996350149622225,0.9730613162255383,0.9734490773654321,0.9540352706550177,0.9572066153233884,0.9645754677554169,1.046001541691243,0.9546571629416075,1.0259315956313346,0.8591729583330833,1.2501986832564458,1.193792632935037,1.2698214583163274,1.078323133196005,0.8661946772396645,0.8453678779328986,0.8650880004302262,0.8885373340943199,0.9506546828646661,0.9204169592727147,0.9501821720917645,0.9398922898007048,0.8990915584349098,0.8910390092478551,0.8378204895439832,0.8876394751273293,0.7227001156278205,0.7320686069411922,0.8421870507310779,0.7811024478651978,0.7604923206161512,0.8799823433750888,1.0690981828672195,1.4908997362771141,1.6587758622976727,1.1872095027186773,1.7826838795993023,2.265412605428631,1.2009209390917954,1.9735980908184498,0.9397660685944587,0.8618116765405263,1.0055372454387534,0.9162439380277774,0.8852529581035705,0.7561916487965066,0.8173523875295067,1.5168400223919902,0.9767692771920388,0.9866697718292187,1.0108005476316333,1.1742694802602058,1.0229397604015649,0.9741918184073158,1.1902767564127432,1.0226048534634546,1.128053572380893,1.152894181381664,1.348325604118108,1.708294459692273,1.2804371257293812,1.2860041143805936,1.1343166189687581,1.2336004310092552,0.9535980342022523,0.904757377846819,0.8417901980565494,0.8353465331274063,0.8193284174063616,0.7711544127073662,0.9027612414264511,1.0251759521758796,0.9943409147165829,0.7612861084039707,0.7548000440818741,0.8378554272940476,0.8630696554359604,0.8840335531295938,0.9196937856766692,1.0812543959167473,0.9956099431890553,0.9813030643671998,0.9878569557447873,1.082709503478682,1.1922493472026097,0.979082999618968,0.9815560281107024,0.9887559781512565,0.9565933073318688,1.0399538715064054,0.932451770222679,1.0720375114633087,1.440357053109016,1.1521100041136878,1.2695141833674046,1.3462947367818119,1.3933254091159981,1.373147880125093,1.3588891670101897,1.202313548129957,1.1220019097636522,1.1075344438663175,0.9820248779278351,0.9266207662082373,0.9019447501060045,0.9002990547753186,1.1255236535414372,1.0480094563341944,1.173666127332122,1.0842475080173553,1.0052615748104619,1.0222333675741297,1.0553272877405755,1.1624329162067952,1.3040921201141322,1.33770515865515,1.3597415231574665,1.36375840882584,1.4295174200357932,1.4152367713986056,1.4471284618568447,1.337673422538581,1.3905500753308424,1.3532447142978843,1.3672833260033705,1.2887456913175508,1.2404291872772892,1.1084452818644688,0.6280888088519652,0.8544406674995936,0.7605958959034353,0.7343498314651121,0.718380861859179,0.7649401747469047,0.8259494319851095,0.9376239487650169,1.0151373384524474,1.055484119498281,1.1626567995557813,1.0831249767678919,1.0156433754710152,1.2893456715038114,1.15161743619188,0.9911034214011719,0.9588365811817338,1.0566464366235313,0.9468058362715303,1.0510468297941786,0.9793598112521406,0.811363312143246,0.821582108060582,0.7954728207735892,0.9862890631370923,1.0602632247539117,1.1920542659957511,1.3894377999432106,1.6075082262270093,1.6407673892027235,1.6073014786763382,1.221383679239218,1.0479827748436648,0.9375430380971593,0.8846681570821507,0.9033057936928283,0.8802320338833957,0.8836814878187333,0.9026527283532915,0.8904118164878583,0.9747411945559569,1.0579553436019635,1.1222475484240122,1.1645693315130328,1.1371383406120095,0.946231189822824,0.8470431552484428,1.1468788630835622,2.9481896173609603,1.5416589999791543,2.7360304562815005,3.125280610061791,2.341069999067753,1.9221690321686113,1.6864450974178105,1.7333137913255994,1.5911690009038484,1.5254637372679754,1.499031230254676,1.4360716589292088,1.4680993935918605,1.5141606861364456,1.5060771886723634,1.5434701235146953,1.5695307115790007,1.735652832531429,1.704436387797116,1.6656865558343639,1.7674095306273423,1.922038530300453,1.8472097354589796,1.8670401481958723,2.0382304907705464,2.030206100283165,1.908985230365765,1.7876169626995502,1.8399804215016438,1.6222773831578574,1.5863955517965418,1.614302202894078,1.490084690027726,1.5743018160655677,1.5476111154590735,2.043334843284846,1.7165130205328387,1.5447771432172475,1.5060359830290546,1.529111130668251,1.5179931423050743,1.4773057573860222,1.5319497462402598,1.7668731374304452,1.672252529667083,1.5685069159440228,1.647372396537934,1.7770703340343001,1.7414467014738602,1.6152215424246343,1.5289952980160635,1.5086768846266334,1.486830397443234,1.535278348640195,1.7178647929621336,1.5986425126105623,1.8014596866317836,1.6321277803158851,1.4289810025733791,1.5063636837376597,1.564013908989442,1.6733311569922449,1.7779425184875162,1.8958551387008837,1.8567978527880735,1.8068355331613675,1.8877092761460084,2.0439996471699455,1.9164187669770218,1.828456174167022,1.7146356917044043,1.6484249453521866,1.6443578532999945,1.6257890446719916,1.5433891025858812,1.5815386696389349,1.5494922265958224,1.5355976134983218,1.547331230541934,1.51873559850961,1.551426546610882,1.5604986617496008,1.5172357470559878,1.6116962694911048,1.7309138365852215,1.7810440808431578,1.7163686232668098,1.6629469999697721,2.1531138081113625,2.0331784802036146,1.730792376688231,1.7407041765713802,1.6591435723085692,1.874087705216393,1.9016833105992788,1.7308635301761357,1.6831290277492295,1.5195734816010371,1.503603301721803,1.6360686188855469,1.4748196741572694,1.4994368573607586,2.3169319235500305,1.374374568919471,1.4225130356933253,1.865352659763811,1.8082186177103656,2.23873294965777,1.5303488106013956,1.4544235704555522,1.253839400175897,1.2854189233818045,1.3494223872062345,1.9216332154261346,2.8093366133395037,3.1601291476425497],[1.1930497109640708,1.1491707657339791,0.9729278102930157,1.0600999318323774,1.2775504487809761,1.4357886197495808,1.4926514877628478,1.5345806594094389,1.7019306503735552,1.7314874128010485,1.7809410686300373,1.7358432133380461,1.693158937970338,1.7568444282039513,1.6417906005227787,1.595418242838852,1.6160446331819984,1.456456877368736,1.252320510386933,1.2470728197946217,1.1258529933457373,1.0352129002775983,1.2451271984437726,1.2322274016245334,1.3723749133737604,1.1733187007960781,1.2014819116663056,1.298329685918173,1.3911291390193234,1.4771022521644146,1.4649557803946716,1.5152992449233063,1.537134976548718,1.4530538431601945,1.4061330109006824,1.361684118278307,1.367788759996479,1.326891136915465,1.2203721053988816,1.2460154140061703,1.3687629881949666,1.1584730452977658,1.149178769602717,1.2502632938303258,1.3713585690144046,1.6769280098009247,1.7521159179040433,1.3888625212440924,1.8245255596206966,2.0978946953569695,1.6400831638637117,1.7000490072296417,1.273634064366987,1.3868918788548061,1.500588132931888,1.2311442760148166,1.2113854586521153,1.2299656995078698,1.1697725173695415,1.6524274765631322,1.1783857811865088,1.1360187420604297,1.238970364823775,1.252784732955427,1.1281542019395452,1.1653293569393763,1.265814529933118,1.2826656956081641,1.3235656102232984,1.5214387695937284,1.614056268150555,1.8746970258006508,1.5202679012381162,1.4023970464579048,1.4023450085331968,1.3796893538863075,1.2330522974847296,1.226635618793672,1.18297831858448,1.1622071823522362,1.2411126702250581,1.2123690450399605,1.46519455075035,1.4341786844874904,1.385435774995347,1.2270517047679477,1.2264327539699222,1.315237448862988,1.2601193614039439,1.3218463396914424,1.3201167847505182,1.3355787862501862,1.3669668228378944,1.4917064853322248,1.5614678852529131,1.6722667279656123,1.762004051296422,1.6271184984573765,1.6582177306016648,1.640719496389882,1.5467912416763616,1.4743020344326745,1.3924056209339724,1.3639930139473686,1.292216918226264,1.2396564476447667,1.265130402274681,1.118581898975677,1.0324794427028392,1.133621874282859,1.204964521184585,1.215780375618258,1.3730622476631162,1.3471458663296905,1.5853555065947076,1.5243005464923385,1.5550350173666285,1.3925439764069123,1.258981709441459,1.522656812456393,1.785301737495002,1.8713357990923933,1.8184952429586339,1.6673622202559035,1.5714081579328605,1.219432095566886,1.2052878942865743,1.1287619769852686,1.0418920921154855,1.0327476541908234,0.9494720964478348,0.9791201787498177,1.1169759003455775,1.048947597431986,1.07110402660645,1.0342224199018706,1.0241631745370325,1.0200575210810017,0.974519106761015,0.9739640743435328,0.668754392399926,1.4534169119786773,1.1934683029352224,1.1251465031527381,1.1790940056753374,1.2850257257923963,1.3128433228478,1.4156305973307133,1.3721257880213413,1.4979587955367866,1.4584224937605934,1.5737865371906423,1.4968934890115695,1.793128169079849,1.7329057450397813,1.5592585024131063,1.5455916166325387,1.461704404116967,1.448990653320187,1.3185531965655224,1.1519051233905546,1.2533874460269334,1.0883140896198442,1.1119538577155959,1.5374841113594564,1.3334211255153667,1.2730193823289264,1.455890927630555,1.1415285741094774,1.0563511664816738,1.0444904576626282,0.9366286247220431,1.0974584562327443,1.1168775142966425,1.1293661787298082,1.2136015323795244,1.351480195945294,1.3000452219191139,1.1694316367385422,1.173484573055042,1.1149520244777544,1.1255824123706022,1.1435642247559117,1.2261678219148149,1.2059266366263188,1.2107141455237262,1.22538269947978,1.3634844988032506,2.557667293832219,1.4878215517862017,2.6436237908573434,2.6911489091698066,2.111213724181369,1.7259376954597878,1.4176865311104432,1.3841166685837338,1.2096563101067601,1.032164389299833,0.9610645687774075,0.9764499609110613,0.9533538733592543,1.0499427779951747,1.076333758876811,1.0405027220992362,1.1048218044112461,1.3651338060536946,1.3553411503303057,1.2716382687149574,1.4442031598500389,1.6896726863132816,1.6137147592469194,1.6285573424540891,1.8589596778789628,1.9510098682891142,1.7836699962532727,1.572297886981592,1.6751741926968715,1.335444263721229,1.2339613783638466,1.267413392248988,1.0449428922612432,1.2524643256916037,1.0770618400599596,1.630617659501859,1.216843823944936,1.059020648878751,1.0447519101568417,1.079965192759657,1.0777248027755144,1.0304951583080075,1.0385258584903936,1.341527714467706,1.1845562895792587,1.0865609063604993,1.3522425477298567,1.443071848400941,1.3444003836569909,1.3637847215877597,1.0107763547901396,1.0078947764136252,0.998537708445476,1.0351681725982635,1.326757841037558,1.240289467769171,1.5094649913974285,1.2081144074597938,1.011644473201492,1.2035446662915485,1.2294521365531632,1.2945618094582936,1.4843061644428872,1.6682437622392075,1.6097346115061992,1.5143080609860482,1.6819115446760768,1.8893087485849773,1.693363493523881,1.5565850506115044,1.3985178177776476,1.257378802348876,1.2275982520868463,1.1504841106844652,1.1115565188942587,1.1599320696693054,1.0459458641368555,1.0452374023881288,1.0678422913470662,1.0162798091871155,1.0784111323617902,1.1318259483295443,1.068506955559779,1.1291025439691944,1.2382056489512507,1.31390170406754,1.2553605906803997,1.239249123039606,1.72357084361723,1.8678229964591533,1.4709314777261395,1.4803752546906783,1.3692610793470064,1.6296368131703025,1.6751891320204,1.4050686173155544,1.3324964175237333,1.1302832471784472,1.0593127230417505,1.1675081873741193,0.9550472726362457,1.1279429461794162,1.9839130658928572,1.1487268351978466,1.189789958817051,1.6627095546617678,1.7022985532204264,2.1171504462673525,1.5483011981793777,1.4602408657435588,1.358404589433143,1.3298997955217342,1.8414310296287997,2.6216827583636686,3.6549107131461995,3.8829787997139107],[2.2187982416673937,2.1402324435695492,1.8284404281523943,2.180234722611803,1.8760126333052332,2.250525285797097,2.341293606561896,2.3482230715606898,2.5745770851217795,2.604964452266749,2.657259931061026,2.5382550324748014,2.4054147323934014,2.596282943932635,2.3259425492686203,2.1980877409203377,2.163589230501189,1.8723617649403834,1.6105598920107007,1.5402557357678246,1.4295380056953109,1.4187109510404567,1.6701342724875252,1.7355684829726123,1.9210881749422555,1.6031671610995764,1.539422208488884,1.5978954468398092,1.7182440023315042,1.8769659828788277,1.9703446575291306,1.969086804516336,1.9985997858347686,1.8033866652276374,1.7343340791500288,1.686718370285308,1.6509993965060543,1.5236095066532431,1.4527655247852564,1.4537346302426375,1.6163147749945816,1.5274550424775006,1.598743505101662,1.8258276807979303,1.855397538734113,2.1755317029918886,2.2347791864008015,1.9922700766751824,2.647735224620921,2.9447538556254913,2.2300576377767114,2.338007534766283,1.6602483127653511,1.5916093480565496,1.5900286365789158,1.6349021695792745,1.6564499052995152,1.518719520502988,1.5439491416686826,2.1765513736868813,1.5959580492182992,1.4771174003207717,1.4786602166365084,1.5320929120012623,1.5810413426746468,1.407317539270176,1.5021161335718225,1.579342368477783,1.6473247377537568,1.9447376949257742,2.0240129683786914,2.05082048930144,1.8904688131906981,1.7553833819849223,1.7172629050891988,1.7561942551851502,1.5009016829344666,1.5276391406875773,1.487452201562641,1.4787089532496265,1.427687468859874,1.4511092460451682,1.6693340256665194,1.7691583794574466,1.7154901377359886,1.4742616052540245,1.415066963451071,1.5284142138974728,1.5503136617075446,1.6459902472655141,1.6932692627324273,1.794898384705644,1.9342901276708535,2.0405017298336863,2.139898837293625,2.3016747987390382,2.3908760684771058,2.2272905157659673,2.3471804497874045,2.350018860815805,2.0967765812192027,2.0729596727829414,1.8196390618424105,1.7522878127988173,1.8633931983743721,1.5883618560939643,1.5472192293457676,1.4021525321720019,1.4839440661551548,1.7298268284427427,1.7231867151312248,1.7380317714246107,2.087750874848284,1.9492024385337043,2.3043025937137442,2.207823977915405,2.0386358973573873,1.7955196724600335,1.6230034642451396,1.9519237324805663,2.3632978222398453,2.63653618144184,2.7387191101832205,2.5683856292304763,2.4226113318046307,1.8191619393835785,1.7707838841941679,1.5873586863732483,1.4390335877494527,1.4710427685496734,1.2233283340853405,1.2257187162866028,1.3046045592863655,1.3333929333979926,1.3187289862599014,1.4551281232265572,1.0783725784132518,1.0288849524611434,1.183083685828871,1.556008950217447,1.3257978237531094,2.0175644364482603,1.6782882914252657,1.4297356853546732,1.4073732482222807,1.5239381124139766,1.6572229045659501,1.8659122351337833,1.8757235813873319,2.1610948636134055,2.088912217231037,2.3485998084768123,2.2640817957573804,2.4376949856940144,2.437548930427333,2.252504209496174,2.241171780534736,2.08697275897277,1.9844861096321234,1.7190346898754292,1.5039498558468303,1.5152369898545877,1.4100535928301043,1.4162173668442353,1.4093624752468836,1.366434067063409,1.3424998216283623,1.6890301324277983,1.3837096918889975,1.3738939044584753,1.3350635738511325,1.0939076190757888,1.1852082569680464,1.2096333081478365,1.3558627797223448,1.471716400167726,1.6645915852081832,1.564120709164757,1.4024133357827606,1.2964848748675513,1.3203598378961396,1.2992728825721949,1.1814116364251952,1.1721930274647459,1.1569084535387775,1.4456167306010936,1.5023357345863328,1.766447212217912,3.3220999492125554,2.0462842621433293,2.4568008390455596,2.7715481970235727,2.1145861041489837,1.797930199650946,1.4940521253456804,1.366758202700566,1.177237105663022,1.1189145401411964,1.1376162575463535,1.3184581257362344,1.3322241377334314,1.5691163345564239,1.6435755966233527,1.545400954412343,1.65726622231137,2.0186716079083595,1.9067229009975926,1.8340005352875155,2.1045211141122095,2.3472810747398327,2.2038627531761836,2.272856360822755,2.6025836903912936,2.6081933777013795,2.4029570795547843,2.0879620939114605,2.1902307429536783,1.6970248408021944,1.6766400519929614,1.7505796988995515,1.4795048771859656,1.668805798932545,1.4289494872137987,1.9675364134179285,1.5545497346182802,1.4460908837235038,1.4734007684279988,1.2917559082896612,1.1789769407134902,1.2806238989992167,1.1906167666054548,1.1872318426066135,1.1512849795468014,1.1124362586828325,1.3152052329258823,1.318452137577677,1.2589249314397102,1.2579883090726673,1.1265555467576243,1.2035888719012322,1.244977476271646,1.4924591526426967,1.675056070815016,1.7099735495573867,1.9246447842105066,1.6873007317003228,1.7999894871870303,1.9322592235935123,1.9342003616452497,1.9547346194683453,2.177329058715558,2.3913381651954655,2.3194147736607924,2.2068875047164176,2.4227379349581306,2.6450214093208233,2.3880424233249644,2.2582579624499197,2.048245198235875,1.8845492436302564,1.7922997597566683,1.6339348712495396,1.6426002435248537,1.6895527285968572,1.4668619235823757,1.4062084726737316,1.4900291902002516,1.3550670094021644,1.2388505282109392,1.2797676425148792,1.3127925394808535,1.2662071300343447,1.3204781264913104,1.487512889273315,1.4765838551053743,1.5557093073081103,1.967692666162751,1.9885454052833842,1.6838112840761874,1.8078182368601619,1.7823380758369367,2.1412036901831453,2.086424844420356,1.793744759962642,1.5976502871251705,1.3453770747284006,1.3861656222145056,1.648507296736501,1.4293751893124735,1.7177207851574936,2.5320068476741473,1.6726471187283938,1.7478287054817532,2.2005935074700633,2.446152601127631,2.7702209628949914,2.424681669596799,2.431734478904738,2.201156740101337,2.1415106905844103,2.3347561778452564,3.143482190457966,3.6250752065609366,4.073737874066022],[3.3808420934083103,3.1292573919051847,2.5688303888710724,3.101351449793934,2.2240323402535416,3.0057908822182964,3.027140490807595,3.0014259775531285,3.576255057274521,3.6088836239715794,3.8047163688148133,3.52614511581753,3.1695989153140363,3.748420685084281,3.394959959276861,3.0561089568783633,2.946662185600262,2.813953902480289,2.7673830423864323,2.872186927868426,2.955139252403794,3.171338238820838,3.382449306215525,3.5256515096230068,3.8268616398592394,3.3284845474417697,3.1116358340394474,2.6194735410137002,2.603827757130961,2.620601875898262,2.914024942054964,2.755467736962866,2.8636482795953935,2.749618798240571,2.653607356839918,2.673733881935704,2.5408449673958713,2.8213893788565163,2.91372752179559,3.2125866638350944,3.5781108078380437,3.356681719028572,3.5478497943966847,3.922346968104103,3.8641108947072063,4.200320571469914,4.155170243300006,4.055952820680618,4.756849633851122,4.972432335708481,4.32341470342888,4.04373042158161,3.6450555897109136,3.5121265754124917,3.3512077742488895,3.5803554552816372,3.627435233630067,3.3165307887867637,3.3607720660225238,4.070644163782561,3.3967222005466007,3.1029666073929003,2.8683364593263097,3.021012714730062,3.2160621620909633,2.900682391802605,2.7819672313057016,2.747821719084148,2.777868090377424,3.0593487983158902,3.1704180668892157,3.1318221948205793,3.018597595380428,2.8358941843341117,2.7942585236260906,2.7219998665799285,2.7581152760389482,2.7220364377048623,2.7702284301151825,2.9267026300553334,2.786908654034837,2.9664841997960814,2.859129476213644,3.1706029149587973,3.150719530335352,2.7239281628212235,2.8486010244489215,2.666345729733809,2.761392373891976,2.724210286540845,2.7644705092614954,2.8471421391133296,2.9830782340895214,3.0391818349791224,3.1310241446740044,3.424922050211712,3.543359369791108,3.141762028749581,3.1999180704192813,3.1436402892069015,2.76560089233422,2.5418532275652055,2.355401208913848,2.1004106067669976,2.2153130315043073,1.8384210580558347,1.8118200589017335,1.6728010276129117,1.5680203659197194,1.876621369163252,1.8304110198304047,1.8914871752040947,2.406937617837054,2.1351241144492787,2.773757903588032,2.4711812938288897,2.54567859193287,2.2171739316956063,2.7463823758177024,2.888521200886084,3.4247846558422417,3.6751234633618375,3.5841622022401505,3.232890447079109,3.118118916254535,1.973898430380573,2.0628670577196204,1.615487189884755,1.4997386190231052,1.6945888127110045,1.4613560338436309,1.633157330333182,2.006939670359567,1.976825329766821,1.9285919303204833,1.7726195881919915,1.5048476258435126,1.3021881685883174,1.2254242065194287,1.8238247853933631,2.046767364612516,3.7079676407813498,3.1938307193518143,2.385739773847482,2.753816494907464,2.3763554866961045,2.139448671886094,2.260831807343915,2.163152481797231,2.5814800436988694,2.4408030993807563,3.000883142595643,2.8650113421471746,3.22957998213443,3.2989137089758414,2.9145703135494285,2.8714521441139476,2.5060766647271966,2.4696141893809207,2.0115113447615736,1.9200634424916498,2.2887551382253495,2.3456841247680416,2.7427909481171273,2.896643946483417,2.8287117481270223,2.8182399629409023,3.2853851355457606,2.651843114342516,2.3539163444273767,2.216941195629688,1.9188221094453932,2.2864765589508456,2.2501318192940674,2.265273920375046,2.181183662752511,2.3465603485973525,2.3588283661163327,2.417763484757297,2.289279260327242,2.5378714535294984,2.0101507048723173,2.314069837156546,2.5772231974648565,2.5614500678423706,3.148008938946716,3.2555831419030117,3.671913586438635,4.789138965226581,3.714537340453153,3.5447896639912435,3.396922923624174,3.060354730230655,2.7797774026693727,2.4407686342290784,2.219799595332369,1.7690752506227494,1.5701727355550976,1.3351786596599464,1.4425014310243123,1.4279904633477771,1.6232110619667746,1.7070948489762297,1.6006961506831103,1.7207638962392093,2.1437069771357815,2.062629546580404,1.9962017111237895,2.2907328599399266,2.662373103702884,2.5610216997546984,2.640451658695992,3.066045481658374,3.1631735700510006,2.9582591902511406,2.531618594846829,2.5733643024520814,2.024785362464425,1.9209329075240338,1.9863052221246777,1.659439428944516,1.9953380093865907,1.6327887866042827,1.827477432676645,1.5153416097788988,1.526920337853311,1.5761549504843293,1.5504566723007513,1.423818392925975,1.440528840616165,1.4337460884145088,1.559355546012637,1.4327912511553982,1.4230688858106273,1.8832170429115658,1.8377495850394696,1.5727167576580658,1.837671986432203,1.3359708801059105,1.4772526649092248,1.482844954082934,1.5519215027871622,1.7557016823148985,1.8377711684049431,2.063552603034998,1.743882410057295,1.9970714557030884,2.230504734696917,2.164335873383164,2.074849573143414,2.374648107411296,2.630033136325804,2.5604961950245886,2.4268239258480118,2.7239898536713048,3.0362909761083707,2.717370141024265,2.554125225721289,2.2848116441955324,2.015650624408016,1.8536425950115136,1.6683196161387377,1.7616351250650064,1.8057786270804008,1.5232735667592245,1.491195937844194,1.6113623275340994,1.441628746836683,1.3983172742074632,1.5574596830346927,1.5509056148487614,1.4824005448040336,1.629103902416691,1.8238853637406727,1.7434417884137245,1.8084922400845003,2.2208654372620287,2.2127200457827123,2.0309535119093636,2.1851583775993775,2.0861199460563196,2.531647125401788,2.5260760295925024,2.1003270871086186,1.8621996712685753,1.6118404420181758,1.5584261181764745,1.734623490397064,1.4705267252692864,1.780117095145858,2.5485223368696484,1.9877558187166595,2.102826076302269,2.6826113391782567,2.7146940209257795,3.0025805583086527,3.0172006377422367,3.1529400134845575,2.9118465631524937,2.8154791705138815,2.9713565968460087,3.8348699780338826,3.9791231022607785,4.472273098949988],[4.6464208357931795,4.3433734634567625,3.608553920210092,4.113693915334088,3.193791228551537,4.1784778950978625,4.162621087611737,4.212158556200021,5.025709547461861,5.031213758084051,5.404530167121257,5.043324130160899,4.415168919776202,5.283393912269393,4.930215996289692,4.320886449906897,3.9682559661052887,3.791036560088884,3.6446493320504545,3.2295673330415093,3.4880690401910663,3.5512591549179398,3.9805714632531437,4.147814682491312,4.032375827704396,3.5442663706313735,2.9778446299654426,2.7472237522738276,3.0999411299475277,3.295829559022651,4.133540616821092,3.7287850849110935,3.992827118267936,3.7251475861844843,3.3720449515286774,3.2549828184000034,2.891332777703949,2.7393168563707646,2.6784809455966023,3.0807178931947083,3.5343880455001666,3.38264429335483,3.6428949090271203,4.109903401889515,4.483962571767162,4.940333322248322,4.958325641709087,4.566178857577153,5.0514493512197705,5.2979578033646435,4.685661408098169,4.041803907893223,3.8585845615684615,3.6305283805015702,3.429976933316666,3.722636706292912,3.813475839620548,3.4394544829020086,3.537810463946482,4.288736964390058,3.7356833616574927,3.556337570131168,3.4101686418201407,3.765098827462748,3.7640884205295113,3.3493336961699636,3.6202707251555504,3.690387071825111,4.115211280803062,4.593344512887093,4.84943542537714,4.920523611804671,4.699759788059736,4.2748224197643765,4.06942403250004,3.848608950650628,3.480215042546944,3.498414775354864,3.251814288434838,3.1681559229153433,2.8975797632397993,2.86657615261832,2.7105744534661693,2.8839917770870165,2.883781410433482,2.547343706570853,2.8412854061142294,2.8469803124266093,3.1551892318805677,3.389632151562857,3.744398021134874,4.111907530471028,4.371013250119062,4.434777190369051,4.585508254715082,5.085243730111569,5.2325500435199634,4.55042525148532,4.571228657937466,4.473648357905891,3.790595077434434,3.4123839871678934,2.9085597562044496,2.5660445425219907,2.248916963142289,2.062535930384553,2.0073109472053643,1.9959478712409076,2.15227128197078,2.4618503596070624,2.6059764270305585,2.4586096453906663,3.2924554975934743,2.772485910363584,3.63452973343327,3.029066838722724,3.0129122279337714,2.270173817065617,3.5075445685506885,3.8827684940341536,4.600551643775565,4.9079113264620995,4.348787686376348,4.119736497769831,4.139627298014975,2.658701429278159,2.8962130442745453,2.268284910044979,2.104287365524322,1.9942248459392695,2.0717768856901184,2.151289763618122,2.517735083777491,2.188666042649929,2.3212129555637806,2.004872239565362,2.2275379052278743,1.8091684216009505,1.6678013118663206,1.8454078969307401,2.2879446652233075,3.7850379275827346,2.7122653172724798,1.9824745027671056,2.378851479780346,2.279703870771269,2.1885804201817916,2.725447241165379,2.688942648460386,3.5311558590866063,3.3869327071478645,4.232238825592547,4.009906020739391,4.625553999252986,4.713187246120327,4.129162669824274,4.014628258788605,3.3952899271322745,3.236909404415481,2.427156059968793,1.9399939577705339,2.1604900682491803,2.0536880005823397,2.473692069040276,3.1719715249024216,3.4732250302618413,3.597410097214517,4.428327567381632,3.7276118182234375,3.2548856075241415,2.8381677858330514,2.284893124462512,2.3646511463785345,2.1147672272453195,2.0547698323153796,2.120879451429166,2.5005227865332955,2.376804444470147,2.202473299035944,2.114077181752751,2.3917667502988094,1.9280775122779243,2.4122493057546364,2.8968070858677946,2.8707685174492052,3.2899062626464994,3.2963265493780196,3.962367883969738,4.695671770649189,4.179182575022418,4.00605892563516,3.4396907925855698,3.7147430306243026,3.523946583960762,3.2089409742248827,3.1093308590924362,2.669334620214071,2.3634152162605484,2.2416770899576837,2.1247741730263145,2.23739778201704,2.423112400865303,2.4966340054984246,2.5092035008581384,2.6492587245941217,3.1160521796830944,3.0131365410160034,2.985413562447395,3.3720926372993842,3.778134909223304,3.617266041856882,3.7564931591439605,4.287655166914874,4.298759074983671,4.025274674221305,3.580991575942566,3.6257638503764285,3.0453065796387584,2.933202917670875,3.0246986995149845,2.7383441778274817,2.8196145044007315,2.6973263501571165,2.890359086629825,2.5244704378144873,2.443858226981631,2.3714290996431577,2.422031094006568,2.439376048617866,2.3834819712719026,2.2984048210075456,2.56160084466538,2.50166565088611,2.4278007292139727,2.77141822356912,3.0149358200843324,2.745277079476235,2.8694297817945635,2.3416025201667625,2.1913074250938385,2.2326672839571575,2.2895726946501784,2.4599337589859283,2.597144825643956,2.7328802636580316,2.501389441741095,2.739316622990084,2.9821483784402765,3.0029574643181687,3.0387916517196136,3.445949627473952,3.774811864937308,3.686712975909724,3.5445411195700793,3.9442872951079777,4.352463941639035,3.900680384975968,3.730271355012467,3.376913786099645,3.095696934650675,2.865342345764606,2.6630217715903113,2.809301019859888,2.819992246986444,2.5291079324538206,2.549710114293403,2.648036570819235,2.461922971944998,2.4938361983381814,2.65238193149854,2.606966591541201,2.6047192873848726,2.800052144796894,2.9569004913942845,2.872383606887193,2.865780012751145,3.2536736888793616,3.1182110981482913,3.0246787893607734,3.1745022388531567,3.047606282870541,3.568312112589082,3.4820466638411722,3.027409021823841,2.8501520523502655,2.5679925227078937,2.5027724796957997,2.582243501834563,2.2618089381059434,2.532833162670797,3.4981934608060623,2.8265143754432214,3.039590827789271,3.6397399788594407,3.7399786814782967,4.162501373736194,4.150381068147822,4.273527528956904,4.137425664999758,4.0506335323044995,4.224536139497594,4.683604707468605,4.45308158174644,5.040957149453313]]}]}